• using R version 2.15.0 (2012-03-30)
  • using platform: x86_64-pc-mingw32 (64-bit)
  • using session charset: ISO8859-1
  • checking for file 'mvProbit/DESCRIPTION' ... OK
  • this is package 'mvProbit' version '0.1-0'
  • checking package namespace information ... OK
  • checking package dependencies ... OK
  • checking if this is a source package ... OK
  • checking if there is a namespace ... OK
  • checking whether package 'mvProbit' can be installed ... OK
  • checking installed package size ... OK
  • checking package directory ... OK
  • checking for portable file names ... OK
  • checking DESCRIPTION meta-information ... OK
  • checking top-level files ... OK
  • checking index information ... OK
  • checking package subdirectories ... OK
  • checking R files for non-ASCII characters ... OK
  • checking R files for syntax errors ... OK
  • loading checks for arch 'i386'
    ** checking whether the package can be loaded ... OK
    ** checking whether the package can be loaded with stated dependencies ... OK
    ** checking whether the package can be unloaded cleanly ... OK
    ** checking whether the namespace can be loaded with stated dependencies ... OK
    ** checking whether the namespace can be unloaded cleanly ... OK
  • loading checks for arch 'x64'
    ** checking whether the package can be loaded ... OK
    ** checking whether the package can be loaded with stated dependencies ... OK
    ** checking whether the package can be unloaded cleanly ... OK
    ** checking whether the namespace can be loaded with stated dependencies ... OK
    ** checking whether the namespace can be unloaded cleanly ... OK
  • checking for unstated dependencies in R code ... OK
  • checking S3 generic/method consistency ... OK
  • checking replacement functions ... OK
  • checking foreign function calls ... OK
  • checking R code for possible problems ... OK
  • checking Rd files ... OK
  • checking Rd metadata ... OK
  • checking Rd cross-references ... OK
  • checking for missing documentation entries ... OK
  • checking for code/documentation mismatches ... OK
  • checking Rd \usage sections ... OK
  • checking Rd contents ... OK
  • checking for unstated dependencies in examples ... OK
  • checking examples ...
    ** running examples for arch 'i386' ... OK
    ** running examples for arch 'x64' ... OK
  • checking for unstated dependencies in tests ... OK
  • checking tests ...
    ** running tests for arch 'i386' OK
    Running 'mvProbitEst.R'
    Comparing 'mvProbitEst.Rout' to 'mvProbitEst.Rout.save' ...133,137c133,137
    < [1] "Component 1: Mean relative difference: 1.828849e-08"
    < [2] "Component 2: Mean relative difference: 1.179323e-07"
    < [3] "Component 3: Mean relative difference: 1.254796e-06"
    < [4] "Component 4: Mean relative difference: 4.705908e-07"
    < [5] "Component 11: Mean relative difference: 4.500916e-07"
    ---
    > [1] "Component 1: Mean relative difference: 1.825892e-08"
    > [2] "Component 2: Mean relative difference: 1.179601e-07"
    > [3] "Component 3: Mean relative difference: 1.25489e-06"
    > [4] "Component 4: Mean relative difference: 4.704361e-07"
    > [5] "Component 11: Mean relative difference: 4.501242e-07"
    238,241c238,241
    < [1] "Component 2: Mean relative difference: 2.633144e-07"
    < [2] "Component 3: Mean relative difference: 8.519272e-07"
    < [3] "Component 4: Mean relative difference: 4.318302e-07"
    < [4] "Component 12: Mean relative difference: 2.452671e-07"
    ---
    > [1] "Component 2: Mean relative difference: 2.633406e-07"
    > [2] "Component 3: Mean relative difference: 8.516113e-07"
    > [3] "Component 4: Mean relative difference: 4.317256e-07"
    > [4] "Component 12: Mean relative difference: 2.450236e-07"
    438,440c438,440
    < [1] "Component 1: Mean relative difference: 7.343935e-06"
    < [2] "Component 2: Mean relative difference: 2.683042e-05"
    < [3] "Component 3: Mean relative difference: 0.0001800717"
    ---
    > [1] "Component 1: Mean relative difference: 7.343934e-06"
    > [2] "Component 2: Mean relative difference: 2.683038e-05"
    > [3] "Component 3: Mean relative difference: 0.0001800699"
    442c442
    < [5] "Component 12: Mean relative difference: 0.0001152819"
    ---
    > [5] "Component 12: Mean relative difference: 0.000115282"
    495c495
    < [1] "Component 1: Mean relative difference: 0.0001294771"
    ---
    > [1] "Component 1: Mean relative difference: 0.000129477"
    499c499
    < [5] "Component 12: Mean relative difference: 0.00685237"
    ---
    > [5] "Component 12: Mean relative difference: 0.006852369"
    506c506
    < [5] "Component 12: Mean relative difference: 0.006838736"
    ---
    > [5] "Component 12: Mean relative difference: 0.006838735"
    608,609c608,609
    < 5 0.1883227203 0.3691077221 -0.316570405 -0.067411731 -0.3961556791
    < 6 0.3702088342 0.0348830182 -0.061413065 -0.455364197 -0.1278614688
    ---
    > 5 0.1883227203 0.3691077222 -0.316570405 -0.067411731 -0.3961556791
    > 6 0.3702088341 0.0348830182 -0.061413065 -0.455364197 -0.1278614688
    611,617c611,617
    < 8 0.4007100991 0.2907940042 -0.259618855 -0.451711635 -0.2456774132
    < 9 0.2866645193 0.3996281228 -0.327737008 -0.421511448 -0.5108161192
    < 10 0.3126554267 0.3897239251 -0.320854424 -0.436950408 -0.4603049276
    < 11 0.3559814758 0.3554683195 -0.299468024 -0.205103323 -0.6288130112
    < 12 0.1219655175 0.2849034003 -0.270662367 -0.034586201 -0.2369272200
    < 13 0.1607955228 0.3407304015 -0.301945123 -0.052636441 -0.3318476743
    < 14 0.0425053789 0.1103217794 -0.148796997 -0.007619505 -0.0545819828
    ---
    > 8 0.4007100991 0.2907940043 -0.259618855 -0.451711635 -0.2456774131
    > 9 0.2866645193 0.3996281228 -0.327737008 -0.421511449 -0.5108161192
    > 10 0.3126554267 0.3897239251 -0.320854424 -0.436950408 -0.4603049277
    > 11 0.3559814758 0.3554683196 -0.299468024 -0.205103323 -0.6288130110
    > 12 0.1219655175 0.2849034003 -0.270662367 -0.034586201 -0.2369272202
    > 13 0.1607955228 0.3407304015 -0.301945123 -0.052636441 -0.3318476745
    > 14 0.0425053789 0.1103217794 -0.148796997 -0.007619505 -0.0545819827
    619c619
    < 16 0.3364458707 0.3738145586 -0.310770786 -0.183076397 -0.6237777824
    ---
    > 16 0.3364458707 0.3738145586 -0.310770786 -0.183076398 -0.6237777822
    625,626c625,626
    < 22 0.0007459368 0.0006997555 -0.005794037 -0.002963512 -0.0038764262
    < 23 0.4382229462 0.1426446470 -0.158983664 -0.377686061 -0.0793317558
    ---
    > 22 0.0007459368 0.0006997555 -0.005794037 -0.002963512 -0.0038764260
    > 23 0.4382229462 0.1426446471 -0.158983664 -0.377686061 -0.0793317558
    629,630c629,630
    < 26 0.4378382911 0.1365702837 -0.154340785 -0.372385737 -0.0744061888
    < 27 0.1729600304 0.3543882322 -0.309111596 -0.058957089 -0.3607121360
    ---
    > 26 0.4378382911 0.1365702837 -0.154340785 -0.372385737 -0.0744061887
    > 27 0.1729600304 0.3543882323 -0.309111596 -0.058957089 -0.3607121360
    632,635c632,635
    < 29 0.3029664390 0.3943070184 -0.323906809 -0.431637730 -0.4798749185
    < 30 0.2118732333 0.3863181844 -0.324795264 -0.081441034 -0.4476780389
    < 31 0.2527667060 0.4012707688 -0.330599116 -0.109160768 -0.5263904899
    < 32 0.3573773964 0.3539600682 -0.298544079 -0.453545721 -0.3597566944
    ---
    > 29 0.3029664390 0.3943070185 -0.323906809 -0.431637730 -0.4798749185
    > 30 0.2118732333 0.3863181844 -0.324795264 -0.081441034 -0.4476780387
    > 31 0.2527667060 0.4012707688 -0.330599116 -0.109160768 -0.5263904900
    > 32 0.3573773964 0.3539600683 -0.298544079 -0.453545721 -0.3597566944
    637c637
    < 34 0.4109693775 0.2693770277 -0.246106417 -0.287100465 -0.5780744976
    ---
    > 34 0.4109693775 0.2693770277 -0.246106417 -0.287100465 -0.5780744977
    639c639
    < 36 0.3438409908 0.3674584553 -0.306835661 -0.191130998 -0.6266939810
    ---
    > 36 0.3438409908 0.3674584553 -0.306835661 -0.191130998 -0.6266939812
    641c641
    < 38 0.3693685444 0.3398244946 -0.289893267 -0.455294843 -0.3300385704
    ---
    > 38 0.3693685444 0.3398244946 -0.289893267 -0.455294843 -0.3300385705
    647c647
    < 44 0.0971786805 0.2391890488 -0.242745143 -0.024716381 -0.1761938533
    ---
    > 44 0.0971786805 0.2391890488 -0.242745143 -0.024716381 -0.1761938531
    649c649
    < 46 0.1023270345 0.2493442534 -0.249136290 -0.216048167 -0.5558718554
    ---
    > 46 0.1023270344 0.2493442534 -0.249136290 -0.216048167 -0.5558718553
    653c653
    < 50 0.0417272238 0.1082331002 -0.146997339 -0.105894032 -0.3177684700
    ---
    > 50 0.0417272238 0.1082331002 -0.146997339 -0.105894032 -0.3177684702
    685c685
    < 31 0.456293193
    ---
    > 31 0.456293194
    692c692
    < 38 0.318287911
    ---
    > 38 0.318287912
    709,713c709,713
    < 1 0.03877687 -0.016279760 -0.006506543 -0.0085518564 -0.019536865 0.005453422
    < 2 0.04152043 -0.040327021 -0.019207150 0.0004315898 0.007668291 0.012659633
    < 3 0.04198335 -0.041152336 -0.019563310 -0.0163880273 0.028694027 0.004473374
    < 4 0.07492160 -0.005167856 0.014058108 -0.0450358571 0.010013989 -0.020388797
    < 5 0.04747089 -0.045578202 -0.021184702 -0.0228823427 0.016813500 -0.004206318
    ---
    > 1 0.03877687 -0.016279760 -0.006506543 -0.0085524411 -0.019547037 0.005454279
    > 2 0.04152043 -0.040327021 -0.019207150 0.0004315898 0.007676233 0.012659633
    > 3 0.04198335 -0.041152336 -0.019563310 -0.0163880273 0.028694027 0.004474309
    > 4 0.07492160 -0.005167857 0.014058108 -0.0450526067 0.010011396 -0.020390007
    > 5 0.04747089 -0.045578202 -0.021184702 -0.0229278566 0.016834638 -0.004204519
    718,722c718,722
    < 1 -0.016279760 0.06838234 0.032611453 -0.030799164 0.036178859 -0.0175037912
    < 2 -0.040327021 0.09950789 0.038272789 -0.009186342 -0.007920749 -0.0359693510
    < 3 -0.041152336 0.10008456 0.037883511 0.029127127 -0.029041689 -0.0145585310
    < 4 -0.005167856 0.01254829 -0.003709549 0.016800621 -0.027227898 0.0053785541
    < 5 -0.045578202 0.09564278 0.028093463 0.025775897 -0.009508351 0.0006817797
    ---
    > 1 -0.016279760 0.06838234 0.032611453 -0.030785596 0.036198536 -0.0175058405
    > 2 -0.040327021 0.09950789 0.038272789 -0.009186342 -0.007934649 -0.0359693510
    > 3 -0.041152336 0.10008456 0.037883511 0.029127127 -0.029041689 -0.0145595674
    > 4 -0.005167857 0.01254829 -0.003709549 0.016806180 -0.027225552 0.0053803236
    > 5 -0.045578202 0.09564278 0.028093463 0.025822338 -0.009540776 0.0006788095
    727,731c727,731
    < 1 -0.006506543 0.032611453 0.08668897 -0.031970213 0.0071135696 0.006501094
    < 2 -0.019207150 0.038272789 0.09482705 -0.012376408 -0.0219491972 -0.020635830
    < 3 -0.019563310 0.037883511 0.09443552 0.021043220 -0.0158342306 -0.006799418
    < 4 0.014058108 -0.003709549 0.01349634 -0.003777813 0.0074842905 -0.017363243
    < 5 -0.021184702 0.028093463 0.08326911 0.017082851 -0.0006030508 0.011693467
    ---
    > 1 -0.006506543 0.032611453 0.08668897 -0.031957080 0.0071226706 0.006486255
    > 2 -0.019207150 0.038272789 0.09482705 -0.012376408 -0.0219579805 -0.020635830
    > 3 -0.019563310 0.037883511 0.09443552 0.021043220 -0.0158342307 -0.006807902
    > 4 0.014058108 -0.003709549 0.01349634 -0.003779655 0.0074845084 -0.017363703
    > 5 -0.021184702 0.028093463 0.08326911 0.017113366 -0.0006060267 0.011689134
    736,740c736,740
    < 1 -0.0085518564 -0.030799164 -0.031970213 0.10526070 -0.014242273 0.003875657
    < 2 0.0004315898 -0.009186342 -0.012376408 0.04271272 0.010033547 0.004318761
    < 3 -0.0163880273 0.029127127 0.021043220 0.03140680 -0.018753031 0.008673103
    < 4 -0.0450358571 0.016800621 -0.003777813 0.14004627 -0.034578608 0.009474707
    < 5 -0.0228823427 0.025775897 0.017082851 0.02532866 -0.007753496 0.010196946
    ---
    > 1 -0.0085524411 -0.030785596 -0.031957080 0.10518470 -0.014246799 0.003877102
    > 2 0.0004315898 -0.009186342 -0.012376408 0.04271272 0.010036546 0.004318761
    > 3 -0.0163880273 0.029127127 0.021043220 0.03140680 -0.018753031 0.008672458
    > 4 -0.0450526067 0.016806180 -0.003779655 0.14013492 -0.034582161 0.009486614
    > 5 -0.0229278566 0.025822338 0.017113366 0.02541768 -0.007777457 0.010209240
    745,749c745,749
    < 1 -0.019536865 0.036178859 0.0071135696 -0.014242273 0.04655161 -0.013943945
    < 2 0.007668291 -0.007920749 -0.0219491972 0.010033547 0.03453547 -0.006002817
    < 3 0.028694027 -0.029041689 -0.0158342306 -0.018753031 0.07259357 -0.010835666
    < 4 0.010013989 -0.027227898 0.0074842905 -0.034578608 0.05971152 -0.010803061
    < 5 0.016813500 -0.009508351 -0.0006030508 -0.007753496 0.04528873 -0.007451202
    ---
    > 1 -0.019547037 0.036198536 0.0071226706 -0.014246799 0.04659230 -0.013947597
    > 2 0.007676233 -0.007934649 -0.0219579805 0.010036546 0.03455302 -0.006000680
    > 3 0.028694027 -0.029041689 -0.0158342307 -0.018753031 0.07259357 -0.010834949
    > 4 0.010011396 -0.027225552 0.0074845084 -0.034582161 0.05970141 -0.010805226
    > 5 0.016834638 -0.009540776 -0.0006060267 -0.007777457 0.04534636 -0.007453327
    754,758c754,758
    < 1 0.005453422 -0.0175037912 0.006501094 0.003875657 -0.013943945 0.02722391
    < 2 0.012659633 -0.0359693510 -0.020635830 0.004318761 -0.006002817 0.05602195
    < 3 0.004473374 -0.0145585310 -0.006799418 0.008673103 -0.010835666 0.04244353
    < 4 -0.020388797 0.0053785541 -0.017363243 0.009474707 -0.010803061 0.02391249
    < 5 -0.004206318 0.0006817797 0.011693467 0.010196946 -0.007451202 0.02699992
    ---
    > 1 0.005454279 -0.0175058405 0.006486255 0.003877102 -0.013947597 0.02721375
    > 2 0.012659633 -0.0359693510 -0.020635830 0.004318761 -0.006000680 0.05602195
    > 3 0.004474309 -0.0145595674 -0.006807902 0.008672458 -0.010834949 0.04244698
    > 4 -0.020390007 0.0053803236 -0.017363703 0.009486614 -0.010805226 0.02391138
    > 5 -0.004204519 0.0006788095 0.011689134 0.010209240 -0.007453327 0.02699698
    762,767c762,767
    < d_y1_d_x1 0.020288104 -0.002813578 -0.001572159 -0.031757991 0.014231750
    < d_y2_d_x1 -0.002813578 0.011445332 -0.006468166 0.005125804 -0.020302996
    < d_y3_d_x1 -0.001572159 -0.006468166 0.021217346 0.002632895 0.008923884
    < d_y1_d_x2 -0.031757991 0.005125804 0.002632895 0.050215500 -0.024181283
    < d_y2_d_x2 0.014231750 -0.020302996 0.008923884 -0.024181283 0.046879898
    < d_y3_d_x2 0.002397555 0.003782139 -0.015845020 -0.003702428 -0.004816571
    ---
    > d_y1_d_x1 0.020288104 -0.002813578 -0.001572159 -0.031743940 0.014206862
    > d_y2_d_x1 -0.002813578 0.011445332 -0.006468166 0.005122685 -0.020284870
    > d_y3_d_x1 -0.001572159 -0.006468166 0.021217346 0.002631792 0.008918785
    > d_y1_d_x2 -0.031743940 0.005122685 0.002631792 0.050169955 -0.024127042
    > d_y2_d_x2 0.014206862 -0.020284870 0.008918785 -0.024127042 0.046770483
    > d_y3_d_x2 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
    769,774c769,774
    < d_y1_d_x1 0.002397555
    < d_y2_d_x1 0.003782139
    < d_y3_d_x1 -0.015845020
    < d_y1_d_x2 -0.003702428
    < d_y2_d_x2 -0.004816571
    < d_y3_d_x2 0.019259311
    ---
    > d_y1_d_x1 0.002395896
    > d_y2_d_x1 0.003782239
    > d_y3_d_x1 -0.015842908
    > d_y1_d_x2 -0.003698285
    > d_y2_d_x2 -0.004816119
    > d_y3_d_x2 0.019248488
    783c783
    < 5 -0.2320732 0 0 0.13174660 0 0
    ---
    > 5 -0.2320732 0 0 0.13187340 0 0
    792c792
    < 5 0.05902308 0 0 0.13174660 0 0
    ---
    > 5 0.05902308 0 0 0.13187340 0 0
    797c797
    < 1 -0.06051131 0 0 0.41474984 0 0
    ---
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    800,801c800,801
    < 4 0.21890784 0 0 0.47805305 0 0
    < 5 0.05239540 0 0 0.02935156 0 0
    ---
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    > 5 0.05239540 0 0 0.02922476 0 0
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    < 1 0 0.11228991 0 0 -0.3722202 0
    ---
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    < 5 0 -0.14586693 0 0 0.3806201 0
    ---
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    > 5 0 -0.14586693 0 0 0.3809701 0
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    < 4 0 0.1196723 0 0 -0.2926946 0
    < 5 0 0.2513296 0 0 0.3807951 0
    ---
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    > 5 0 0.2513296 0 0 0.3809701 0
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    < 3 0 0.002262893 0 0 0.3035692 0
    ---
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    < 1 0 0 0.08932894 0 0 -0.2805229
    ---
    > 1 0 0 0.08932894 0 0 -0.2803831
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    < 3 0 0 -0.02279842 0 0 0.2217893
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    < 5 0 0 -0.09049632 0 0 0.2811872
    ---
    > 3 0 0 -0.02279842 0 0 0.2218592
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    > 5 0 0 -0.09049632 0 0 0.2811522
    846c846
    < 5 0 0 0.3054330 0 0 0.2812221
    ---
    > 5 0 0 0.3054330 0 0 0.2811872
    855c855
    < 5 0 0 0.0204314439 0 0 0.2419798
    ---
    > 5 0 0 0.0204314438 0 0 0.2419798
    886,891c886,891
    < d_y1_d_x1 -0.08621442 0.00650226 0.08849228 0.0000000 0.00000000 0.0000000
    < d_y2_d_x1 0.00000000 0.00000000 0.00000000 -0.1679077 0.03369144 0.1723439
    < d_y3_d_x1 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    < d_y1_d_x2 0.18094552 0.00000000 -0.09292049 0.0000000 0.00000000 0.0000000
    < d_y2_d_x2 0.00000000 0.00000000 0.00000000 0.3715202 0.00000000 -0.1795459
    < d_y3_d_x2 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    ---
    > d_y1_d_x1 -0.08621442 0.006502259 0.08849228 0.0000000 0.00000000 0.0000000
    > d_y2_d_x1 0.00000000 0.000000000 0.00000000 -0.1679077 0.03369144 0.1723439
    > d_y3_d_x1 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000
    > d_y1_d_x2 0.18081872 0.000000000 -0.09292049 0.0000000 0.00000000 0.0000000
    > d_y2_d_x2 0.00000000 0.000000000 0.00000000 0.3711702 0.00000000 -0.1795459
    > d_y3_d_x2 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000
    898c898
    < d_y3_d_x2 0.3006602 0.00000000 -0.03893892 0 0 0
    ---
    > d_y3_d_x2 0.3005902 0.00000000 -0.03897388 0 0 0
    904,906c904,906
    < 1: d_y1_d_x2 -0.4419799 0.3244391 -1.362 0.17311
    < 1: d_y2_d_x2 -0.4386127 0.2157582 -2.033 0.04206 *
    < 1: d_y3_d_x2 0.3859215 0.1649967 2.339 0.01934 *
    ---
    > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
    > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
    > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
    911c911
    < 2: d_y2_d_x2 -0.5794260 0.1858372 -3.118 0.00182 **
    ---
    > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
    918c918
    < 3: d_y3_d_x2 0.4433467 0.2060183 2.152 0.03140 *
    ---
    > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
    922,924c922,924
    < 4: d_y1_d_x2 -0.4515717 0.3742276 -1.207 0.22756
    < 4: d_y2_d_x2 -0.1886323 0.2443594 -0.772 0.44015
    < 4: d_y3_d_x2 0.2222390 0.1546366 1.437 0.15067
    ---
    > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
    > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
    > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
    928,930c928,930
    < 5: d_y1_d_x2 -0.0674117 0.1591498 -0.424 0.67188
    < 5: d_y2_d_x2 -0.3961557 0.2128115 -1.862 0.06267 .
    < 5: d_y3_d_x2 0.3847186 0.1643165 2.341 0.01922 *
    ---
    > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
    > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
    > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
    934,936c934,936
    < 6: d_y1_d_x2 -0.4553642 0.3715836 -1.225 0.22040
    < 6: d_y2_d_x2 -0.1278615 0.2191925 -0.583 0.55967
    < 6: d_y3_d_x2 0.1721719 0.1590003 1.083 0.27888
    ---
    > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
    > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
    > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
    940,942c940,942
    < 7: d_y1_d_x2 -0.0011222 0.0101292 -0.111 0.91178
    < 7: d_y2_d_x2 -0.0060669 0.0202050 -0.300 0.76397
    < 7: d_y3_d_x2 0.0283926 0.0809126 0.351 0.72566
    ---
    > 7: d_y1_d_x2 -0.0011222 0.0100135 -0.112 0.91077
    > 7: d_y2_d_x2 -0.0060669 0.0202419 -0.300 0.76439
    > 7: d_y3_d_x2 0.0283926 0.0809208 0.351 0.72569
    946,947c946,947
    < 8: d_y1_d_x2 -0.4517116 0.3779356 -1.195 0.23201
    < 8: d_y2_d_x2 -0.2456774 0.2897085 -0.848 0.39643
    ---
    > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
    > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
    952,954c952,954
    < 9: d_y1_d_x2 -0.4215114 0.2733590 -1.542 0.12308
    < 9: d_y2_d_x2 -0.5108161 0.1769402 -2.887 0.00389 **
    < 9: d_y3_d_x2 0.4287282 0.1973970 2.172 0.02986 *
    ---
    > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
    > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
    > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
    958,960c958,960
    < 10: d_y1_d_x2 -0.4369504 0.3108845 -1.406 0.15987
    < 10: d_y2_d_x2 -0.4603049 0.2025175 -2.273 0.02303 *
    < 10: d_y3_d_x2 0.3989088 0.1736847 2.297 0.02163 *
    ---
    > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
    > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
    > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
    964,966c964,966
    < 11: d_y1_d_x2 -0.2051033 0.1688229 -1.215 0.22440
    < 11: d_y2_d_x2 -0.6288130 0.2931818 -2.145 0.03197 *
    < 11: d_y3_d_x2 0.5022490 0.2714010 1.851 0.06423 .
    ---
    > 11: d_y1_d_x2 -0.2051033 0.1686940 -1.216 0.22405
    > 11: d_y2_d_x2 -0.6288130 0.2929760 -2.146 0.03185 *
    > 11: d_y3_d_x2 0.5022490 0.2714282 1.850 0.06426 .
    970,972c970,972
    < 12: d_y1_d_x2 -0.0345862 0.1173419 -0.295 0.76819
    < 12: d_y2_d_x2 -0.2369272 0.1552700 -1.526 0.12703
    < 12: d_y3_d_x2 0.2806895 0.1494911 1.878 0.06043 .
    ---
    > 12: d_y1_d_x2 -0.0345862 0.1169745 -0.296 0.76748
    > 12: d_y2_d_x2 -0.2369272 0.1553557 -1.525 0.12724
    > 12: d_y3_d_x2 0.2806895 0.1495365 1.877 0.06051 .
    976,978c976,978
    < 13: d_y1_d_x2 -0.0526364 0.1444150 -0.364 0.71550
    < 13: d_y2_d_x2 -0.3318477 0.1847341 -1.796 0.07244 .
    < 13: d_y3_d_x2 0.3453127 0.1505297 2.294 0.02179 *
    ---
    > 13: d_y1_d_x2 -0.0526364 0.1443091 -0.365 0.71530
    > 13: d_y2_d_x2 -0.3318477 0.1847243 -1.796 0.07242 .
    > 13: d_y3_d_x2 0.3453127 0.1505415 2.294 0.02180 *
    983,984c983,984
    < 14: d_y2_d_x2 -0.0545820 0.0866245 -0.630 0.52863
    < 14: d_y3_d_x2 0.1126242 0.1560078 0.722 0.47035
    ---
    > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
    > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
    989c989
    < 15: d_y2_d_x2 -0.2915499 0.2035420 -1.432 0.15203
    ---
    > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
    994,996c994,996
    < 16: d_y1_d_x2 -0.1830764 0.1735367 -1.055 0.29144
    < 16: d_y2_d_x2 -0.6237778 0.3087994 -2.020 0.04338 *
    < 16: d_y3_d_x2 0.5014677 0.2696785 1.860 0.06296 .
    ---
    > 16: d_y1_d_x2 -0.1830764 0.1737741 -1.054 0.29210
    > 16: d_y2_d_x2 -0.6237778 0.3085691 -2.022 0.04323 *
    > 16: d_y3_d_x2 0.5014677 0.2697076 1.859 0.06298 .
    1000c1000
    < 17: d_y1_d_x2 -0.2257431 0.1653795 -1.365 0.17225
    ---
    > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
    1002c1002
    < 17: d_y3_d_x2 0.4990113 0.2682226 1.860 0.06282 .
    ---
    > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
    1006,1008c1006,1008
    < 18: d_y1_d_x2 -0.4069299 0.2423502 -1.679 0.09313 .
    < 18: d_y2_d_x2 -0.5455404 0.1716757 -3.178 0.00148 **
    < 18: d_y3_d_x2 0.4490482 0.2164560 2.075 0.03803 *
    ---
    > 18: d_y1_d_x2 -0.4069299 0.2423963 -1.679 0.09320 .
    > 18: d_y2_d_x2 -0.5455404 0.1716217 -3.179 0.00148 **
    > 18: d_y3_d_x2 0.4490482 0.2163669 2.075 0.03795 *
    1012,1013c1012,1013
    < 19: d_y1_d_x2 -0.3703732 0.2551128 -1.452 0.14656
    < 19: d_y2_d_x2 -0.4388109 0.1791720 -2.449 0.01432 *
    ---
    > 19: d_y1_d_x2 -0.3703732 0.2549995 -1.452 0.14638
    > 19: d_y2_d_x2 -0.4388109 0.1792273 -2.448 0.01435 *
    1018,1020c1018,1020
    < 20: d_y1_d_x2 -0.0893004 0.1579554 -0.565 0.57183
    < 20: d_y2_d_x2 -0.0007183 0.0053674 -0.134 0.89354
    < 20: d_y3_d_x2 0.0057560 0.0253756 0.227 0.82055
    ---
    > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
    > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
    > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
    1024,1026c1024,1026
    < 21: d_y1_d_x2 -0.2496657 0.1726345 -1.446 0.14812
    < 21: d_y2_d_x2 -0.5965848 0.3367930 -1.771 0.07650 .
    < 21: d_y3_d_x2 0.4914407 0.2550038 1.927 0.05396 .
    ---
    > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
    > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
    > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
    1031,1032c1031,1032
    < 22: d_y2_d_x2 -0.0038764 0.0136779 -0.283 0.77686
    < 22: d_y3_d_x2 0.0220188 0.0686879 0.321 0.74854
    ---
    > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
    > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
    1037,1038c1037,1038
    < 23: d_y2_d_x2 -0.0793318 0.1962731 -0.404 0.68607
    < 23: d_y3_d_x2 0.1237074 0.1476803 0.838 0.40222
    ---
    > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
    > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
    1042,1044c1042,1044
    < 24: d_y1_d_x2 -0.1841514 0.2157503 -0.854 0.39336
    < 24: d_y2_d_x2 -0.5029618 0.3125498 -1.609 0.10757
    < 24: d_y3_d_x2 0.4465735 0.2031564 2.198 0.02794 *
    ---
    > 24: d_y1_d_x2 -0.1841514 0.2158454 -0.853 0.39357
    > 24: d_y2_d_x2 -0.5029618 0.3122748 -1.611 0.10726
    > 24: d_y3_d_x2 0.4465735 0.2031295 2.198 0.02792 *
    1048,1050c1048,1050
    < 25: d_y1_d_x2 -0.1901942 0.2124665 -0.895 0.37069
    < 25: d_y2_d_x2 -0.5140301 0.3171971 -1.621 0.10512
    < 25: d_y3_d_x2 0.4522409 0.2089410 2.164 0.03043 *
    ---
    > 25: d_y1_d_x2 -0.1901942 0.2126762 -0.894 0.37117
    > 25: d_y2_d_x2 -0.5140301 0.3173040 -1.620 0.10523
    > 25: d_y3_d_x2 0.4522409 0.2089671 2.164 0.03045 *
    1054,1056c1054,1056
    < 26: d_y1_d_x2 -0.3723857 0.2610619 -1.426 0.15375
    < 26: d_y2_d_x2 -0.0744062 0.1894573 -0.393 0.69452
    < 26: d_y3_d_x2 0.1186028 0.1465936 0.809 0.41848
    ---
    > 26: d_y1_d_x2 -0.3723857 0.2610610 -1.426 0.15374
    > 26: d_y2_d_x2 -0.0744062 0.1894584 -0.393 0.69452
    > 26: d_y3_d_x2 0.1186028 0.1465188 0.809 0.41824
    1060,1062c1060,1062
    < 27: d_y1_d_x2 -0.0589571 0.1513982 -0.389 0.69697
    < 27: d_y2_d_x2 -0.3607121 0.1965022 -1.836 0.06641 .
    < 27: d_y3_d_x2 0.3633744 0.1554323 2.338 0.01940 *
    ---
    > 27: d_y1_d_x2 -0.0589571 0.1511973 -0.390 0.69658
    > 27: d_y2_d_x2 -0.3607121 0.1966482 -1.834 0.06661 .
    > 27: d_y3_d_x2 0.3633744 0.1553877 2.339 0.01936 *
    1066c1066
    < 28: d_y1_d_x2 -0.0038331 0.0263896 -0.145 0.88451
    ---
    > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
    1068c1068
    < 28: d_y3_d_x2 0.0701960 0.1320890 0.531 0.59512
    ---
    > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
    1073,1074c1073,1074
    < 29: d_y2_d_x2 -0.4798749 0.1912721 -2.509 0.01211 *
    < 29: d_y3_d_x2 0.4105213 0.1823366 2.251 0.02436 *
    ---
    > 29: d_y2_d_x2 -0.4798749 0.1912621 -2.509 0.01211 *
    > 29: d_y3_d_x2 0.4105213 0.1822638 2.252 0.02430 *
    1078,1080c1078,1080
    < 30: d_y1_d_x2 -0.0814410 0.1690865 -0.482 0.63005
    < 30: d_y2_d_x2 -0.4476780 0.2395984 -1.868 0.06170 .
    < 30: d_y3_d_x2 0.4142648 0.1822962 2.272 0.02306 *
    ---
    > 30: d_y1_d_x2 -0.0814410 0.1691615 -0.481 0.63020
    > 30: d_y2_d_x2 -0.4476780 0.2396874 -1.868 0.06180 .
    > 30: d_y3_d_x2 0.4142648 0.1822614 2.273 0.02303 *
    1084,1085c1084,1085
    < 31: d_y1_d_x2 -0.1091608 0.1797487 -0.607 0.54365
    < 31: d_y2_d_x2 -0.5263905 0.2831777 -1.859 0.06305 .
    ---
    > 31: d_y1_d_x2 -0.1091608 0.1794793 -0.608 0.54305
    > 31: d_y2_d_x2 -0.5263905 0.2833821 -1.858 0.06324 .
    1091c1091
    < 32: d_y2_d_x2 -0.3597567 0.2602796 -1.382 0.16691
    ---
    > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
    1096,1098c1096,1098
    < 33: d_y1_d_x2 -0.0481163 0.1383754 -0.348 0.72805
    < 33: d_y2_d_x2 -0.3098804 0.1767896 -1.753 0.07963 .
    < 33: d_y3_d_x2 0.3311181 0.1483404 2.232 0.02560 *
    ---
    > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
    > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
    > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
    1102,1104c1102,1104
    < 34: d_y1_d_x2 -0.2871005 0.1750399 -1.640 0.10096
    < 34: d_y2_d_x2 -0.5780745 0.1937372 -2.984 0.00285 **
    < 34: d_y3_d_x2 0.4700927 0.2378691 1.976 0.04812 *
    ---
    > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
    > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
    > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
    1108c1108
    < 35: d_y1_d_x2 -0.0682106 0.1601293 -0.426 0.67013
    ---
    > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
    1110c1110
    < 35: d_y3_d_x2 0.3865862 0.1651978 2.340 0.01928 *
    ---
    > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
    1114,1116c1114,1116
    < 36: d_y1_d_x2 -0.1911310 0.1717144 -1.113 0.26568
    < 36: d_y2_d_x2 -0.6266940 0.3038203 -2.063 0.03914 *
    < 36: d_y3_d_x2 0.5022961 0.2709312 1.854 0.06374 .
    ---
    > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
    > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
    > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
    1120,1122c1120,1122
    < 37: d_y1_d_x2 -0.4128084 0.3171269 -1.302 0.19301
    < 37: d_y2_d_x2 -0.3345518 0.2260032 -1.480 0.13879
    < 37: d_y3_d_x2 0.3245445 0.1492062 2.175 0.02962 *
    ---
    > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
    > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
    > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
    1126,1128c1126,1128
    < 38: d_y1_d_x2 -0.4552948 0.3701153 -1.230 0.21864
    < 38: d_y2_d_x2 -0.3300386 0.2728201 -1.210 0.22638
    < 38: d_y3_d_x2 0.3182879 0.1388199 2.293 0.02186 *
    ---
    > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
    > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
    > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
    1132c1132
    < 39: d_y1_d_x2 -0.3016233 0.1437565 -2.098 0.03589 *
    ---
    > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
    1134c1134
    < 39: d_y3_d_x2 0.5024991 0.2713886 1.852 0.06409 .
    ---
    > 39: d_y3_d_x2 0.5024991 0.2713680 1.852 0.06407 .
    1138,1140c1138,1140
    < 40: d_y1_d_x2 -0.3371781 0.2125635 -1.586 0.11268
    < 40: d_y2_d_x2 -0.0488786 0.1471278 -0.332 0.73972
    < 40: d_y3_d_x2 0.0900131 0.1364486 0.660 0.50946
    ---
    > 40: d_y1_d_x2 -0.3371781 0.2125041 -1.587 0.11258
    > 40: d_y2_d_x2 -0.0488786 0.1471075 -0.332 0.73969
    > 40: d_y3_d_x2 0.0900131 0.1364710 0.660 0.50953
    1144,1145c1144,1145
    < 41: d_y1_d_x2 -0.3808958 0.2738275 -1.391 0.16422
    < 41: d_y2_d_x2 -0.0824913 0.2005171 -0.411 0.68078
    ---
    > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
    > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
    1151,1152c1151,1152
    < 42: d_y2_d_x2 -0.2652456 0.2886774 -0.919 0.35818
    < 42: d_y3_d_x2 0.2749274 0.1375765 1.998 0.04568 *
    ---
    > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
    > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
    1156,1158c1156,1158
    < 43: d_y1_d_x2 -0.4401057 0.3191515 -1.379 0.16790
    < 43: d_y2_d_x2 -0.4471386 0.2106135 -2.123 0.03375 *
    < 43: d_y3_d_x2 0.3910420 0.1681760 2.325 0.02006 *
    ---
    > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
    > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
    > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
    1162,1164c1162,1164
    < 44: d_y1_d_x2 -0.0247164 0.0967696 -0.255 0.79840
    < 44: d_y2_d_x2 -0.1761939 0.1404997 -1.254 0.20982
    < 44: d_y3_d_x2 0.2336972 0.1572156 1.486 0.13715
    ---
    > 44: d_y1_d_x2 -0.0247164 0.0967978 -0.255 0.79846
    > 44: d_y2_d_x2 -0.1761939 0.1405686 -1.253 0.21005
    > 44: d_y3_d_x2 0.2336972 0.1572143 1.486 0.13715
    1169,1170c1169,1170
    < 45: d_y2_d_x2 -0.1923211 0.2450687 -0.785 0.43259
    < 45: d_y3_d_x2 0.2250886 0.1543332 1.458 0.14471
    ---
    > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
    > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
    1174,1175c1174,1175
    < 46: d_y1_d_x2 -0.2160482 0.1967011 -1.098 0.27205
    < 46: d_y2_d_x2 -0.5558719 0.3325529 -1.672 0.09462 .
    ---
    > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
    > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
    1180,1181c1180,1181
    < 47: d_y1_d_x2 -0.0664679 0.1464373 -0.454 0.64990
    < 47: d_y2_d_x2 -0.0003165 0.0026316 -0.120 0.90428
    ---
    > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
    > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
    1187,1188c1187,1188
    < 48: d_y2_d_x2 -0.0103702 0.0485373 -0.214 0.83082
    < 48: d_y3_d_x2 0.0326734 0.0839286 0.389 0.69705
    ---
    > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
    > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
    1193,1194c1193,1194
    < 49: d_y2_d_x2 -0.3901922 0.2099962 -1.858 0.06316 .
    < 49: d_y3_d_x2 0.3811881 0.1625724 2.345 0.01904 *
    ---
    > 49: d_y2_d_x2 -0.3901922 0.2099946 -1.858 0.06315 .
    > 49: d_y3_d_x2 0.3811881 0.1625644 2.345 0.01904 *
    1198,1200c1198,1200
    < 50: d_y1_d_x2 -0.1058940 0.2240882 -0.473 0.63653
    < 50: d_y2_d_x2 -0.3177685 0.2165177 -1.468 0.14220
    < 50: d_y3_d_x2 0.3395679 0.1387779 2.447 0.01441 *
    ---
    > 50: d_y1_d_x2 -0.1058940 0.2239865 -0.473 0.63638
    > 50: d_y2_d_x2 -0.3177685 0.2162648 -1.469 0.14174
    > 50: d_y3_d_x2 0.3395679 0.1387389 2.448 0.01438 *
    1213,1218c1213,1218
    < 1: d_y1_d_x1 0.4492866 0.3541259 1.269 0.20454
    < 1: d_y2_d_x1 0.2935576 0.1311287 2.239 0.02518 *
    < 1: d_y3_d_x1 -0.2616568 0.1797074 -1.456 0.14539
    < 1: d_y1_d_x2 -0.4419799 0.3244391 -1.362 0.17311
    < 1: d_y2_d_x2 -0.4386127 0.2157582 -2.033 0.04206 *
    < 1: d_y3_d_x2 0.3859215 0.1649967 2.339 0.01934 *
    ---
    > 1: d_y1_d_x1 0.4492866 0.3540597 1.269 0.20446
    > 1: d_y2_d_x1 0.2935576 0.1311406 2.238 0.02519 *
    > 1: d_y3_d_x1 -0.2616568 0.1797334 -1.456 0.14545
    > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
    > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
    > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
    1220c1220
    < 2: d_y2_d_x1 0.3878021 0.2306242 1.682 0.09266 .
    ---
    > 2: d_y2_d_x1 0.3878021 0.2306484 1.681 0.09269 .
    1223c1223
    < 2: d_y2_d_x2 -0.5794260 0.1858372 -3.118 0.00182 **
    ---
    > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
    1227c1227
    < 3: d_y3_d_x1 -0.3005914 0.2315981 -1.298 0.19432
    ---
    > 3: d_y3_d_x1 -0.3005914 0.2316189 -1.298 0.19436
    1230,1256c1230,1256
    < 3: d_y3_d_x2 0.4433467 0.2060183 2.152 0.03140 *
    < 4: d_y1_d_x1 0.4590369 0.3460016 1.327 0.18461
    < 4: d_y2_d_x1 0.1262490 0.1951285 0.647 0.51763
    < 4: d_y3_d_x1 -0.1506792 0.2144880 -0.703 0.48236
    < 4: d_y1_d_x2 -0.4515717 0.3742276 -1.207 0.22756
    < 4: d_y2_d_x2 -0.1886323 0.2443594 -0.772 0.44015
    < 4: d_y3_d_x2 0.2222390 0.1546366 1.437 0.15067
    < 5: d_y1_d_x1 0.0685262 0.1716061 0.399 0.68966
    < 5: d_y2_d_x1 0.2651417 0.1705578 1.555 0.12005
    < 5: d_y3_d_x1 -0.2608412 0.1682137 -1.551 0.12098
    < 5: d_y1_d_x2 -0.0674117 0.1591498 -0.424 0.67188
    < 5: d_y2_d_x2 -0.3961557 0.2128115 -1.862 0.06267 .
    < 5: d_y3_d_x2 0.3847186 0.1643165 2.341 0.01922 *
    < 6: d_y1_d_x1 0.4628921 0.3679714 1.258 0.20841
    < 6: d_y2_d_x1 0.0855760 0.1633787 0.524 0.60043
    < 6: d_y3_d_x1 -0.1167335 0.1854325 -0.630 0.52901
    < 6: d_y1_d_x2 -0.4553642 0.3715836 -1.225 0.22040
    < 6: d_y2_d_x2 -0.1278615 0.2191925 -0.583 0.55967
    < 6: d_y3_d_x2 0.1721719 0.1590003 1.083 0.27888
    < 7: d_y1_d_x1 0.0011408 0.0105392 0.108 0.91380
    < 7: d_y2_d_x1 0.0040605 0.0127424 0.319 0.74998
    < 7: d_y3_d_x1 -0.0192503 0.0522282 -0.369 0.71244
    < 7: d_y1_d_x2 -0.0011222 0.0101292 -0.111 0.91178
    < 7: d_y2_d_x2 -0.0060669 0.0202050 -0.300 0.76397
    < 7: d_y3_d_x2 0.0283926 0.0809126 0.351 0.72566
    < 8: d_y1_d_x1 0.4591792 0.3548306 1.294 0.19564
    < 8: d_y2_d_x1 0.1644286 0.1608163 1.022 0.30656
    ---
    > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
    > 4: d_y1_d_x1 0.4590369 0.3460873 1.326 0.18472
    > 4: d_y2_d_x1 0.1262490 0.1951262 0.647 0.51762
    > 4: d_y3_d_x1 -0.1506792 0.2145244 -0.702 0.48244
    > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
    > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
    > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
    > 5: d_y1_d_x1 0.0685262 0.1718947 0.399 0.69015
    > 5: d_y2_d_x1 0.2651417 0.1706556 1.554 0.12026
    > 5: d_y3_d_x1 -0.2608412 0.1682214 -1.551 0.12100
    > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
    > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
    > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
    > 6: d_y1_d_x1 0.4628921 0.3679524 1.258 0.20838
    > 6: d_y2_d_x1 0.0855760 0.1633725 0.524 0.60041
    > 6: d_y3_d_x1 -0.1167335 0.1854189 -0.630 0.52898
    > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
    > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
    > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
    > 7: d_y1_d_x1 0.0011408 0.0104205 0.109 0.91283
    > 7: d_y2_d_x1 0.0040605 0.0127622 0.318 0.75036
    > 7: d_y3_d_x1 -0.0192503 0.0522359 -0.369 0.71248
    > 7: d_y1_d_x2 -0.0011222 0.0100135 -0.112 0.91077
    > 7: d_y2_d_x2 -0.0060669 0.0202419 -0.300 0.76439
    > 7: d_y3_d_x2 0.0283926 0.0809208 0.351 0.72569
    > 8: d_y1_d_x1 0.4591792 0.3547693 1.294 0.19556
    > 8: d_y2_d_x1 0.1644286 0.1607414 1.023 0.30634
    1258,1259c1258,1259
    < 8: d_y1_d_x2 -0.4517116 0.3779356 -1.195 0.23201
    < 8: d_y2_d_x2 -0.2456774 0.2897085 -0.848 0.39643
    ---
    > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
    > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
    1261,1290c1261,1290
    < 9: d_y1_d_x1 0.4284797 0.3354047 1.278 0.20143
    < 9: d_y2_d_x1 0.3418824 0.1591896 2.148 0.03174 *
    < 9: d_y3_d_x1 -0.2906800 0.2234483 -1.301 0.19330
    < 9: d_y1_d_x2 -0.4215114 0.2733590 -1.542 0.12308
    < 9: d_y2_d_x2 -0.5108161 0.1769402 -2.887 0.00389 **
    < 9: d_y3_d_x2 0.4287282 0.1973970 2.172 0.02986 *
    < 10: d_y1_d_x1 0.4441739 0.3492204 1.272 0.20341
    < 10: d_y2_d_x1 0.3080759 0.1350346 2.281 0.02252 *
    < 10: d_y3_d_x1 -0.2704623 0.1921221 -1.408 0.15920
    < 10: d_y1_d_x2 -0.4369504 0.3108845 -1.406 0.15987
    < 10: d_y2_d_x2 -0.4603049 0.2025175 -2.273 0.02303 *
    < 10: d_y3_d_x2 0.3989088 0.1736847 2.297 0.02163 *
    < 11: d_y1_d_x1 0.2084940 0.1734634 1.202 0.22938
    < 11: d_y2_d_x1 0.4208561 0.3526349 1.193 0.23269
    < 11: d_y3_d_x1 -0.3405275 0.3419072 -0.996 0.31927
    < 11: d_y1_d_x2 -0.2051033 0.1688229 -1.215 0.22440
    < 11: d_y2_d_x2 -0.6288130 0.2931818 -2.145 0.03197 *
    < 11: d_y3_d_x2 0.5022490 0.2714010 1.851 0.06423 .
    < 12: d_y1_d_x1 0.0351580 0.1251622 0.281 0.77879
    < 12: d_y2_d_x1 0.1585722 0.0917543 1.728 0.08395 .
    < 12: d_y3_d_x1 -0.1903089 0.1047200 -1.817 0.06917 .
    < 12: d_y1_d_x2 -0.0345862 0.1173419 -0.295 0.76819
    < 12: d_y2_d_x2 -0.2369272 0.1552700 -1.526 0.12703
    < 12: d_y3_d_x2 0.2806895 0.1494911 1.878 0.06043 .
    < 13: d_y1_d_x1 0.0535066 0.1550406 0.345 0.73001
    < 13: d_y2_d_x1 0.2221012 0.1322646 1.679 0.09311 .
    < 13: d_y3_d_x1 -0.2341238 0.1364834 -1.715 0.08627 .
    < 13: d_y1_d_x2 -0.0526364 0.1444150 -0.364 0.71550
    < 13: d_y2_d_x2 -0.3318477 0.1847341 -1.796 0.07244 .
    < 13: d_y3_d_x2 0.3453127 0.1505297 2.294 0.02179 *
    ---
    > 9: d_y1_d_x1 0.4284797 0.3354146 1.277 0.20144
    > 9: d_y2_d_x1 0.3418824 0.1591856 2.148 0.03174 *
    > 9: d_y3_d_x1 -0.2906800 0.2235404 -1.300 0.19348
    > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
    > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
    > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
    > 10: d_y1_d_x1 0.4441739 0.3492171 1.272 0.20340
    > 10: d_y2_d_x1 0.3080759 0.1350329 2.281 0.02252 *
    > 10: d_y3_d_x1 -0.2704623 0.1920952 -1.408 0.15914
    > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
    > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
    > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
    > 11: d_y1_d_x1 0.2084940 0.1733247 1.203 0.22901
    > 11: d_y2_d_x1 0.4208561 0.3524522 1.194 0.23245
    > 11: d_y3_d_x1 -0.3405275 0.3419437 -0.996 0.31932
    > 11: d_y1_d_x2 -0.2051033 0.1686940 -1.216 0.22405
    > 11: d_y2_d_x2 -0.6288130 0.2929760 -2.146 0.03185 *
    > 11: d_y3_d_x2 0.5022490 0.2714282 1.850 0.06426 .
    > 12: d_y1_d_x1 0.0351580 0.1247792 0.282 0.77813
    > 12: d_y2_d_x1 0.1585722 0.0918439 1.727 0.08425 .
    > 12: d_y3_d_x1 -0.1903089 0.1047009 -1.818 0.06912 .
    > 12: d_y1_d_x2 -0.0345862 0.1169745 -0.296 0.76748
    > 12: d_y2_d_x2 -0.2369272 0.1553557 -1.525 0.12724
    > 12: d_y3_d_x2 0.2806895 0.1495365 1.877 0.06051 .
    > 13: d_y1_d_x1 0.0535066 0.1549265 0.345 0.72982
    > 13: d_y2_d_x1 0.2221012 0.1321527 1.681 0.09283 .
    > 13: d_y3_d_x1 -0.2341238 0.1364993 -1.715 0.08631 .
    > 13: d_y1_d_x2 -0.0526364 0.1443091 -0.365 0.71530
    > 13: d_y2_d_x2 -0.3318477 0.1847243 -1.796 0.07242 .
    > 13: d_y3_d_x2 0.3453127 0.1505415 2.294 0.02180 *
    1292,1293c1292,1293
    < 14: d_y2_d_x1 0.0365310 0.0506387 0.721 0.47066
    < 14: d_y3_d_x1 -0.0763598 0.0949662 -0.804 0.42135
    ---
    > 14: d_y2_d_x1 0.0365310 0.0506660 0.721 0.47090
    > 14: d_y3_d_x1 -0.0763598 0.0949354 -0.804 0.42120
    1295,1296c1295,1296
    < 14: d_y2_d_x2 -0.0545820 0.0866245 -0.630 0.52863
    < 14: d_y3_d_x2 0.1126242 0.1560078 0.722 0.47035
    ---
    > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
    > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
    1298c1298
    < 15: d_y2_d_x1 0.1951304 0.2396842 0.814 0.41558
    ---
    > 15: d_y2_d_x1 0.1951304 0.2397581 0.814 0.41572
    1301c1301
    < 15: d_y2_d_x2 -0.2915499 0.2035420 -1.432 0.15203
    ---
    > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
    1303,1309c1303,1309
    < 16: d_y1_d_x1 0.1861029 0.1836723 1.013 0.31095
    < 16: d_y2_d_x1 0.4174861 0.3477475 1.201 0.22993
    < 16: d_y3_d_x1 -0.3399978 0.3302814 -1.029 0.30328
    < 16: d_y1_d_x2 -0.1830764 0.1735367 -1.055 0.29144
    < 16: d_y2_d_x2 -0.6237778 0.3087994 -2.020 0.04338 *
    < 16: d_y3_d_x2 0.5014677 0.2696785 1.860 0.06296 .
    < 17: d_y1_d_x1 0.2294750 0.1627661 1.410 0.15859
    ---
    > 16: d_y1_d_x1 0.1861029 0.1838931 1.012 0.31153
    > 16: d_y2_d_x1 0.4174861 0.3476044 1.201 0.22974
    > 16: d_y3_d_x1 -0.3399978 0.3303216 -1.029 0.30334
    > 16: d_y1_d_x2 -0.1830764 0.1737741 -1.054 0.29210
    > 16: d_y2_d_x2 -0.6237778 0.3085691 -2.022 0.04323 *
    > 16: d_y3_d_x2 0.5014677 0.2697076 1.859 0.06298 .
    > 17: d_y1_d_x1 0.2294750 0.1626257 1.411 0.15823
    1311,1312c1311,1312
    < 17: d_y3_d_x1 -0.3383323 0.3484537 -0.971 0.33157
    < 17: d_y1_d_x2 -0.2257431 0.1653795 -1.365 0.17225
    ---
    > 17: d_y3_d_x1 -0.3383323 0.3486058 -0.971 0.33178
    > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
    1314,1322c1314,1322
    < 17: d_y3_d_x2 0.4990113 0.2682226 1.860 0.06282 .
    < 18: d_y1_d_x1 0.4136571 0.3245500 1.275 0.20247
    < 18: d_y2_d_x1 0.3651229 0.1893183 1.929 0.05378 .
    < 18: d_y3_d_x1 -0.3044570 0.2474713 -1.230 0.21860
    < 18: d_y1_d_x2 -0.4069299 0.2423502 -1.679 0.09313 .
    < 18: d_y2_d_x2 -0.5455404 0.1716757 -3.178 0.00148 **
    < 18: d_y3_d_x2 0.4490482 0.2164560 2.075 0.03803 *
    < 19: d_y1_d_x1 0.3764961 0.1937437 1.943 0.05198 .
    < 19: d_y2_d_x1 0.2936902 0.2676728 1.097 0.27255
    ---
    > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
    > 18: d_y1_d_x1 0.4136571 0.3245288 1.275 0.20244
    > 18: d_y2_d_x1 0.3651229 0.1892800 1.929 0.05373 .
    > 18: d_y3_d_x1 -0.3044570 0.2474695 -1.230 0.21859
    > 18: d_y1_d_x2 -0.4069299 0.2423963 -1.679 0.09320 .
    > 18: d_y2_d_x2 -0.5455404 0.1716217 -3.179 0.00148 **
    > 18: d_y3_d_x2 0.4490482 0.2163669 2.075 0.03795 *
    > 19: d_y1_d_x1 0.3764961 0.1937626 1.943 0.05201 .
    > 19: d_y2_d_x1 0.2936902 0.2677201 1.097 0.27264
    1324,1325c1324,1325
    < 19: d_y1_d_x2 -0.3703732 0.2551128 -1.452 0.14656
    < 19: d_y2_d_x2 -0.4388109 0.1791720 -2.449 0.01432 *
    ---
    > 19: d_y1_d_x2 -0.3703732 0.2549995 -1.452 0.14638
    > 19: d_y2_d_x2 -0.4388109 0.1792273 -2.448 0.01435 *
    1327,1338c1327,1338
    < 20: d_y1_d_x1 0.0907767 0.1780341 0.510 0.61013
    < 20: d_y2_d_x1 0.0004808 0.0035022 0.137 0.89081
    < 20: d_y3_d_x1 -0.0039026 0.0168131 -0.232 0.81645
    < 20: d_y1_d_x2 -0.0893004 0.1579554 -0.565 0.57183
    < 20: d_y2_d_x2 -0.0007183 0.0053674 -0.134 0.89354
    < 20: d_y3_d_x2 0.0057560 0.0253756 0.227 0.82055
    < 21: d_y1_d_x1 0.2537931 0.3083301 0.823 0.41044
    < 21: d_y2_d_x1 0.3992862 0.3937799 1.014 0.31059
    < 21: d_y3_d_x1 -0.3331994 0.3472491 -0.960 0.33729
    < 21: d_y1_d_x2 -0.2496657 0.1726345 -1.446 0.14812
    < 21: d_y2_d_x2 -0.5965848 0.3367930 -1.771 0.07650 .
    < 21: d_y3_d_x2 0.4914407 0.2550038 1.927 0.05396 .
    ---
    > 20: d_y1_d_x1 0.0907767 0.1780308 0.510 0.61013
    > 20: d_y2_d_x1 0.0004808 0.0035019 0.137 0.89080
    > 20: d_y3_d_x1 -0.0039026 0.0168379 -0.232 0.81671
    > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
    > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
    > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
    > 21: d_y1_d_x1 0.2537931 0.3084248 0.823 0.41058
    > 21: d_y2_d_x1 0.3992862 0.3938352 1.014 0.31066
    > 21: d_y3_d_x1 -0.3331994 0.3472876 -0.959 0.33734
    > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
    > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
    > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
    1340,1341c1340,1341
    < 22: d_y2_d_x1 0.0025944 0.0096183 0.270 0.78736
    < 22: d_y3_d_x1 -0.0149288 0.0516062 -0.289 0.77236
    ---
    > 22: d_y2_d_x1 0.0025944 0.0095680 0.271 0.78627
    > 22: d_y3_d_x1 -0.0149288 0.0516028 -0.289 0.77235
    1343,1344c1343,1344
    < 22: d_y2_d_x2 -0.0038764 0.0136779 -0.283 0.77686
    < 22: d_y3_d_x2 0.0220188 0.0686879 0.321 0.74854
    ---
    > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
    > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
    1346,1347c1346,1347
    < 23: d_y2_d_x1 0.0530957 0.1201102 0.442 0.65845
    < 23: d_y3_d_x1 -0.0838742 0.0921995 -0.910 0.36298
    ---
    > 23: d_y2_d_x1 0.0530957 0.1200950 0.442 0.65841
    > 23: d_y3_d_x1 -0.0838742 0.0922399 -0.909 0.36319
    1349,1375c1349,1375
    < 23: d_y2_d_x2 -0.0793318 0.1962731 -0.404 0.68607
    < 23: d_y3_d_x2 0.1237074 0.1476803 0.838 0.40222
    < 24: d_y1_d_x1 0.1871958 0.3115556 0.601 0.54795
    < 24: d_y2_d_x1 0.3366256 0.3681889 0.914 0.36057
    < 24: d_y3_d_x1 -0.3027792 0.3294133 -0.919 0.35802
    < 24: d_y1_d_x2 -0.1841514 0.2157503 -0.854 0.39336
    < 24: d_y2_d_x2 -0.5029618 0.3125498 -1.609 0.10757
    < 24: d_y3_d_x2 0.4465735 0.2031564 2.198 0.02794 *
    < 25: d_y1_d_x1 0.1933384 0.3119381 0.620 0.53539
    < 25: d_y2_d_x1 0.3440335 0.3731282 0.922 0.35652
    < 25: d_y3_d_x1 -0.3066217 0.3322979 -0.923 0.35615
    < 25: d_y1_d_x2 -0.1901942 0.2124665 -0.895 0.37069
    < 25: d_y2_d_x2 -0.5140301 0.3171971 -1.621 0.10512
    < 25: d_y3_d_x2 0.4522409 0.2089410 2.164 0.03043 *
    < 26: d_y1_d_x1 0.3785419 0.2252176 1.681 0.09281 .
    < 26: d_y2_d_x1 0.0497991 0.1162619 0.428 0.66841
    < 26: d_y3_d_x1 -0.0804133 0.0915924 -0.878 0.37997
    < 26: d_y1_d_x2 -0.3723857 0.2610619 -1.426 0.15375
    < 26: d_y2_d_x2 -0.0744062 0.1894573 -0.393 0.69452
    < 26: d_y3_d_x2 0.1186028 0.1465936 0.809 0.41848
    < 27: d_y1_d_x1 0.0599317 0.1628435 0.368 0.71285
    < 27: d_y2_d_x1 0.2414198 0.1485276 1.625 0.10407
    < 27: d_y3_d_x1 -0.2463698 0.1499283 -1.643 0.10033
    < 27: d_y1_d_x2 -0.0589571 0.1513982 -0.389 0.69697
    < 27: d_y2_d_x2 -0.3607121 0.1965022 -1.836 0.06641 .
    < 27: d_y3_d_x2 0.3633744 0.1554323 2.338 0.01940 *
    < 28: d_y1_d_x1 0.0038965 0.0276116 0.141 0.88778
    ---
    > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
    > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
    > 24: d_y1_d_x1 0.1871958 0.3116447 0.601 0.54806
    > 24: d_y2_d_x1 0.3366256 0.3680215 0.915 0.36035
    > 24: d_y3_d_x1 -0.3027792 0.3293934 -0.919 0.35799
    > 24: d_y1_d_x2 -0.1841514 0.2158454 -0.853 0.39357
    > 24: d_y2_d_x2 -0.5029618 0.3122748 -1.611 0.10726
    > 24: d_y3_d_x2 0.4465735 0.2031295 2.198 0.02792 *
    > 25: d_y1_d_x1 0.1933384 0.3121410 0.619 0.53566
    > 25: d_y2_d_x1 0.3440335 0.3731768 0.922 0.35658
    > 25: d_y3_d_x1 -0.3066217 0.3323178 -0.923 0.35618
    > 25: d_y1_d_x2 -0.1901942 0.2126762 -0.894 0.37117
    > 25: d_y2_d_x2 -0.5140301 0.3173040 -1.620 0.10523
    > 25: d_y3_d_x2 0.4522409 0.2089671 2.164 0.03045 *
    > 26: d_y1_d_x1 0.3785419 0.2252087 1.681 0.09279 .
    > 26: d_y2_d_x1 0.0497991 0.1162620 0.428 0.66841
    > 26: d_y3_d_x1 -0.0804133 0.0915366 -0.878 0.37968
    > 26: d_y1_d_x2 -0.3723857 0.2610610 -1.426 0.15374
    > 26: d_y2_d_x2 -0.0744062 0.1894584 -0.393 0.69452
    > 26: d_y3_d_x2 0.1186028 0.1465188 0.809 0.41824
    > 27: d_y1_d_x1 0.0599317 0.1626478 0.368 0.71252
    > 27: d_y2_d_x1 0.2414198 0.1485489 1.625 0.10412
    > 27: d_y3_d_x1 -0.2463698 0.1499776 -1.643 0.10044
    > 27: d_y1_d_x2 -0.0589571 0.1511973 -0.390 0.69658
    > 27: d_y2_d_x2 -0.3607121 0.1966482 -1.834 0.06661 .
    > 27: d_y3_d_x2 0.3633744 0.1553877 2.339 0.01936 *
    > 28: d_y1_d_x1 0.0038965 0.0277859 0.140 0.88848
    1377,1378c1377,1378
    < 28: d_y3_d_x1 -0.0475933 0.0827015 -0.575 0.56497
    < 28: d_y1_d_x2 -0.0038331 0.0263896 -0.145 0.88451
    ---
    > 28: d_y3_d_x1 -0.0475933 0.0827103 -0.575 0.56501
    > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
    1380c1380
    < 28: d_y3_d_x2 0.0701960 0.1320890 0.531 0.59512
    ---
    > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
    1382,1383c1382,1383
    < 29: d_y2_d_x1 0.3211739 0.1417502 2.266 0.02347 *
    < 29: d_y3_d_x1 -0.2783356 0.2038510 -1.365 0.17213
    ---
    > 29: d_y2_d_x1 0.3211739 0.1417537 2.266 0.02347 *
    > 29: d_y3_d_x1 -0.2783356 0.2038223 -1.366 0.17207
    1385,1394c1385,1394
    < 29: d_y2_d_x2 -0.4798749 0.1912721 -2.509 0.01211 *
    < 29: d_y3_d_x2 0.4105213 0.1823366 2.251 0.02436 *
    < 30: d_y1_d_x1 0.0827874 0.1829357 0.453 0.65087
    < 30: d_y2_d_x1 0.2996249 0.2062146 1.453 0.14623
    < 30: d_y3_d_x1 -0.2808737 0.1977316 -1.420 0.15547
    < 30: d_y1_d_x2 -0.0814410 0.1690865 -0.482 0.63005
    < 30: d_y2_d_x2 -0.4476780 0.2395984 -1.868 0.06170 .
    < 30: d_y3_d_x2 0.4142648 0.1822962 2.272 0.02306 *
    < 31: d_y1_d_x1 0.1109654 0.1952152 0.568 0.56975
    < 31: d_y2_d_x1 0.3523061 0.2663847 1.323 0.18599
    ---
    > 29: d_y2_d_x2 -0.4798749 0.1912621 -2.509 0.01211 *
    > 29: d_y3_d_x2 0.4105213 0.1822638 2.252 0.02430 *
    > 30: d_y1_d_x1 0.0827874 0.1829991 0.452 0.65099
    > 30: d_y2_d_x1 0.2996249 0.2062733 1.453 0.14635
    > 30: d_y3_d_x1 -0.2808737 0.1977175 -1.421 0.15544
    > 30: d_y1_d_x2 -0.0814410 0.1691615 -0.481 0.63020
    > 30: d_y2_d_x2 -0.4476780 0.2396874 -1.868 0.06180 .
    > 30: d_y3_d_x2 0.4142648 0.1822614 2.273 0.02303 *
    > 31: d_y1_d_x1 0.1109654 0.1949650 0.569 0.56925
    > 31: d_y2_d_x1 0.3523061 0.2665386 1.322 0.18624
    1396,1397c1396,1397
    < 31: d_y1_d_x2 -0.1091608 0.1797487 -0.607 0.54365
    < 31: d_y2_d_x2 -0.5263905 0.2831777 -1.859 0.06305 .
    ---
    > 31: d_y1_d_x2 -0.1091608 0.1794793 -0.608 0.54305
    > 31: d_y2_d_x2 -0.5263905 0.2833821 -1.858 0.06324 .
    1400c1400
    < 32: d_y2_d_x1 0.2407803 0.1385137 1.738 0.08216 .
    ---
    > 32: d_y2_d_x1 0.2407803 0.1384474 1.739 0.08201 .
    1403c1403
    < 32: d_y2_d_x2 -0.3597567 0.2602796 -1.382 0.16691
    ---
    > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
    1405,1417c1405,1417
    < 33: d_y1_d_x1 0.0489118 0.1483521 0.330 0.74163
    < 33: d_y2_d_x1 0.2073988 0.1210026 1.714 0.08653 .
    < 33: d_y3_d_x1 -0.2244998 0.1272541 -1.764 0.07770 .
    < 33: d_y1_d_x2 -0.0481163 0.1383754 -0.348 0.72805
    < 33: d_y2_d_x2 -0.3098804 0.1767896 -1.753 0.07963 .
    < 33: d_y3_d_x2 0.3311181 0.1483404 2.232 0.02560 *
    < 34: d_y1_d_x1 0.2918467 0.1402097 2.082 0.03739 *
    < 34: d_y2_d_x1 0.3868975 0.3239595 1.194 0.23237
    < 34: d_y3_d_x1 -0.3187254 0.3475372 -0.917 0.35909
    < 34: d_y1_d_x2 -0.2871005 0.1750399 -1.640 0.10096
    < 34: d_y2_d_x2 -0.5780745 0.1937372 -2.984 0.00285 **
    < 34: d_y3_d_x2 0.4700927 0.2378691 1.976 0.04812 *
    < 35: d_y1_d_x1 0.0693382 0.1726630 0.402 0.68799
    ---
    > 33: d_y1_d_x1 0.0489118 0.1487038 0.329 0.74222
    > 33: d_y2_d_x1 0.2073988 0.1208362 1.716 0.08610 .
    > 33: d_y3_d_x1 -0.2244998 0.1272792 -1.764 0.07776 .
    > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
    > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
    > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
    > 34: d_y1_d_x1 0.2918467 0.1402138 2.081 0.03739 *
    > 34: d_y2_d_x1 0.3868975 0.3240208 1.194 0.23246
    > 34: d_y3_d_x1 -0.3187254 0.3475035 -0.917 0.35905
    > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
    > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
    > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
    > 35: d_y1_d_x1 0.0693382 0.1724062 0.402 0.68755
    1419,1420c1419,1420
    < 35: d_y3_d_x1 -0.2621075 0.1699463 -1.542 0.12300
    < 35: d_y1_d_x2 -0.0682106 0.1601293 -0.426 0.67013
    ---
    > 35: d_y3_d_x1 -0.2621075 0.1699692 -1.542 0.12305
    > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
    1422,1441c1422,1441
    < 35: d_y3_d_x2 0.3865862 0.1651978 2.340 0.01928 *
    < 36: d_y1_d_x1 0.1942907 0.1800480 1.079 0.28054
    < 36: d_y2_d_x1 0.4194379 0.3502383 1.198 0.23108
    < 36: d_y3_d_x1 -0.3405594 0.3351101 -1.016 0.30951
    < 36: d_y1_d_x2 -0.1911310 0.1717144 -1.113 0.26568
    < 36: d_y2_d_x2 -0.6266940 0.3038203 -2.063 0.03914 *
    < 36: d_y3_d_x2 0.5022961 0.2709312 1.854 0.06374 .
    < 37: d_y1_d_x1 0.4196328 0.2609860 1.608 0.10786
    < 37: d_y2_d_x1 0.2239110 0.2400782 0.933 0.35100
    < 37: d_y3_d_x1 -0.2200429 0.2714530 -0.811 0.41759
    < 37: d_y1_d_x2 -0.4128084 0.3171269 -1.302 0.19301
    < 37: d_y2_d_x2 -0.3345518 0.2260032 -1.480 0.13879
    < 37: d_y3_d_x2 0.3245445 0.1492062 2.175 0.02962 *
    < 38: d_y1_d_x1 0.4628216 0.3657933 1.265 0.20578
    < 38: d_y2_d_x1 0.2208904 0.1452094 1.521 0.12821
    < 38: d_y3_d_x1 -0.2158009 0.1284704 -1.680 0.09300 .
    < 38: d_y1_d_x2 -0.4552948 0.3701153 -1.230 0.21864
    < 38: d_y2_d_x2 -0.3300386 0.2728201 -1.210 0.22638
    < 38: d_y3_d_x2 0.3182879 0.1388199 2.293 0.02186 *
    < 39: d_y1_d_x1 0.3066097 0.3007630 1.019 0.30799
    ---
    > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
    > 36: d_y1_d_x1 0.1942907 0.1801413 1.079 0.28079
    > 36: d_y2_d_x1 0.4194379 0.3501349 1.198 0.23094
    > 36: d_y3_d_x1 -0.3405594 0.3351504 -1.016 0.30956
    > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
    > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
    > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
    > 37: d_y1_d_x1 0.4196328 0.2610018 1.608 0.10788
    > 37: d_y2_d_x1 0.2239110 0.2400895 0.933 0.35102
    > 37: d_y3_d_x1 -0.2200429 0.2714789 -0.811 0.41763
    > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
    > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
    > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
    > 38: d_y1_d_x1 0.4628216 0.3657665 1.265 0.20575
    > 38: d_y2_d_x1 0.2208904 0.1452555 1.521 0.12833
    > 38: d_y3_d_x1 -0.2158009 0.1284410 -1.680 0.09293 .
    > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
    > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
    > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
    > 39: d_y1_d_x1 0.3066097 0.3008442 1.019 0.30812
    1443,1444c1443,1444
    < 39: d_y3_d_x1 -0.3406970 0.3388503 -1.005 0.31468
    < 39: d_y1_d_x2 -0.3016233 0.1437565 -2.098 0.03589 *
    ---
    > 39: d_y3_d_x1 -0.3406970 0.3388701 -1.005 0.31471
    > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
    1446,1454c1446,1454
    < 39: d_y3_d_x2 0.5024991 0.2713886 1.852 0.06409 .
    < 40: d_y1_d_x1 0.3427522 0.1857013 1.846 0.06493 .
    < 40: d_y2_d_x1 0.0327138 0.0916242 0.357 0.72106
    < 40: d_y3_d_x1 -0.0610294 0.0860058 -0.710 0.47795
    < 40: d_y1_d_x2 -0.3371781 0.2125635 -1.586 0.11268
    < 40: d_y2_d_x2 -0.0488786 0.1471278 -0.332 0.73972
    < 40: d_y3_d_x2 0.0900131 0.1364486 0.660 0.50946
    < 41: d_y1_d_x1 0.3871927 0.2366741 1.636 0.10185
    < 41: d_y2_d_x1 0.0552104 0.1224920 0.451 0.65219
    ---
    > 39: d_y3_d_x2 0.5024991 0.2713680 1.852 0.06407 .
    > 40: d_y1_d_x1 0.3427522 0.1856809 1.846 0.06490 .
    > 40: d_y2_d_x1 0.0327138 0.0916114 0.357 0.72102
    > 40: d_y3_d_x1 -0.0610294 0.0860418 -0.709 0.47814
    > 40: d_y1_d_x2 -0.3371781 0.2125041 -1.587 0.11258
    > 40: d_y2_d_x2 -0.0488786 0.1471075 -0.332 0.73969
    > 40: d_y3_d_x2 0.0900131 0.1364710 0.660 0.50953
    > 41: d_y1_d_x1 0.3871927 0.2366496 1.636 0.10181
    > 41: d_y2_d_x1 0.0552104 0.1224868 0.451 0.65217
    1456,1457c1456,1457
    < 41: d_y1_d_x2 -0.3808958 0.2738275 -1.391 0.16422
    < 41: d_y2_d_x2 -0.0824913 0.2005171 -0.411 0.68078
    ---
    > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
    > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
    1460,1461c1460,1461
    < 42: d_y2_d_x1 0.1775253 0.1583510 1.121 0.26225
    < 42: d_y3_d_x1 -0.1864022 0.1083125 -1.721 0.08526 .
    ---
    > 42: d_y2_d_x1 0.1775253 0.1583049 1.121 0.26211
    > 42: d_y3_d_x1 -0.1864022 0.1083052 -1.721 0.08524 .
    1463,1476c1463,1476
    < 42: d_y2_d_x2 -0.2652456 0.2886774 -0.919 0.35818
    < 42: d_y3_d_x2 0.2749274 0.1375765 1.998 0.04568 *
    < 43: d_y1_d_x1 0.4473813 0.3522044 1.270 0.20400
    < 43: d_y2_d_x1 0.2992639 0.1322607 2.263 0.02366 *
    < 43: d_y3_d_x1 -0.2651285 0.1844923 -1.437 0.15070
    < 43: d_y1_d_x2 -0.4401057 0.3191515 -1.379 0.16790
    < 43: d_y2_d_x2 -0.4471386 0.2106135 -2.123 0.03375 *
    < 43: d_y3_d_x2 0.3910420 0.1681760 2.325 0.02006 *
    < 44: d_y1_d_x1 0.0251250 0.1027757 0.244 0.80687
    < 44: d_y2_d_x1 0.1179242 0.0774075 1.523 0.12765
    < 44: d_y3_d_x1 -0.1584480 0.0970535 -1.633 0.10256
    < 44: d_y1_d_x2 -0.0247164 0.0967696 -0.255 0.79840
    < 44: d_y2_d_x2 -0.1761939 0.1404997 -1.254 0.20982
    < 44: d_y3_d_x2 0.2336972 0.1572156 1.486 0.13715
    ---
    > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
    > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
    > 43: d_y1_d_x1 0.4473813 0.3521982 1.270 0.20399
    > 43: d_y2_d_x1 0.2992639 0.1322582 2.263 0.02365 *
    > 43: d_y3_d_x1 -0.2651285 0.1845443 -1.437 0.15081
    > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
    > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
    > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
    > 44: d_y1_d_x1 0.0251250 0.1028008 0.244 0.80692
    > 44: d_y2_d_x1 0.1179242 0.0773983 1.524 0.12761
    > 44: d_y3_d_x1 -0.1584480 0.0970460 -1.633 0.10253
    > 44: d_y1_d_x2 -0.0247164 0.0967978 -0.255 0.79846
    > 44: d_y2_d_x2 -0.1761939 0.1405686 -1.253 0.21005
    > 44: d_y3_d_x2 0.2336972 0.1572143 1.486 0.13715
    1478,1479c1478,1479
    < 45: d_y2_d_x1 0.1287179 0.1966752 0.654 0.51281
    < 45: d_y3_d_x1 -0.1526113 0.2161598 -0.706 0.48018
    ---
    > 45: d_y2_d_x1 0.1287179 0.1966903 0.654 0.51284
    > 45: d_y3_d_x1 -0.1526113 0.2160522 -0.706 0.47996
    1481,1484c1481,1484
    < 45: d_y2_d_x2 -0.1923211 0.2450687 -0.785 0.43259
    < 45: d_y3_d_x2 0.2250886 0.1543332 1.458 0.14471
    < 46: d_y1_d_x1 0.2196198 0.3120759 0.704 0.48160
    < 46: d_y2_d_x1 0.3720376 0.3888614 0.957 0.33870
    ---
    > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
    > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
    > 46: d_y1_d_x1 0.2196198 0.3120953 0.704 0.48162
    > 46: d_y2_d_x1 0.3720376 0.3890813 0.956 0.33897
    1486,1487c1486,1487
    < 46: d_y1_d_x2 -0.2160482 0.1967011 -1.098 0.27205
    < 46: d_y2_d_x2 -0.5558719 0.3325529 -1.672 0.09462 .
    ---
    > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
    > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
    1489,1490c1489,1490
    < 47: d_y1_d_x1 0.0675667 0.1625185 0.416 0.67759
    < 47: d_y2_d_x1 0.0002118 0.0017222 0.123 0.90212
    ---
    > 47: d_y1_d_x1 0.0675667 0.1625237 0.416 0.67760
    > 47: d_y2_d_x1 0.0002118 0.0017223 0.123 0.90213
    1492,1493c1492,1493
    < 47: d_y1_d_x2 -0.0664679 0.1464373 -0.454 0.64990
    < 47: d_y2_d_x2 -0.0003165 0.0026316 -0.120 0.90428
    ---
    > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
    > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
    1496,1497c1496,1497
    < 48: d_y2_d_x1 0.0069406 0.0310985 0.223 0.82339
    < 48: d_y3_d_x1 -0.0221528 0.0544671 -0.407 0.68422
    ---
    > 48: d_y2_d_x1 0.0069406 0.0311010 0.223 0.82341
    > 48: d_y3_d_x1 -0.0221528 0.0544918 -0.407 0.68435
    1499,1500c1499,1500
    < 48: d_y2_d_x2 -0.0103702 0.0485373 -0.214 0.83082
    < 48: d_y3_d_x2 0.0326734 0.0839286 0.389 0.69705
    ---
    > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
    > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
    1502,1503c1502,1503
    < 49: d_y2_d_x1 0.2611504 0.1667829 1.566 0.11739
    < 49: d_y3_d_x1 -0.2584476 0.1650732 -1.566 0.11743
    ---
    > 49: d_y2_d_x1 0.2611504 0.1668225 1.565 0.11748
    > 49: d_y3_d_x1 -0.2584476 0.1650362 -1.566 0.11735
    1505,1512c1505,1512
    < 49: d_y2_d_x2 -0.3901922 0.2099962 -1.858 0.06316 .
    < 49: d_y3_d_x2 0.3811881 0.1625724 2.345 0.01904 *
    < 50: d_y1_d_x1 0.1076446 0.2757446 0.390 0.69626
    < 50: d_y2_d_x1 0.2126782 0.2572278 0.827 0.40835
    < 50: d_y3_d_x1 -0.2302289 0.2704667 -0.851 0.39464
    < 50: d_y1_d_x2 -0.1058940 0.2240882 -0.473 0.63653
    < 50: d_y2_d_x2 -0.3177685 0.2165177 -1.468 0.14220
    < 50: d_y3_d_x2 0.3395679 0.1387779 2.447 0.01441 *
    ---
    > 49: d_y2_d_x2 -0.3901922 0.2099946 -1.858 0.06315 .
    > 49: d_y3_d_x2 0.3811881 0.1625644 2.345 0.01904 *
    > 50: d_y1_d_x1 0.1076446 0.2756419 0.391 0.69615
    > 50: d_y2_d_x1 0.2126782 0.2570757 0.827 0.40807
    > 50: d_y3_d_x1 -0.2302289 0.2704463 -0.851 0.39461
    > 50: d_y1_d_x2 -0.1058940 0.2239865 -0.473 0.63638
    > 50: d_y2_d_x2 -0.3177685 0.2162648 -1.469 0.14174
    > 50: d_y3_d_x2 0.3395679 0.1387389 2.448 0.01438 *
    1841,1842c1841,1842
    < 50 0.02028810 -0.002813578 -0.001572159 -0.031757991 0.0142317501 0.002397555
    < mean 0.02205528 -0.007930409 -0.001681515 0.002258275 0.0008258216 0.002958044
    ---
    > 50 0.02028810 -0.002813578 -0.001572159 -0.031743940 0.0142068618 0.002395896
    > mean 0.02205528 -0.007930409 -0.001681515 0.002256626 0.0008256098 0.002957937
    1847,1848c1847,1848
    < 50 -0.002813578 0.01144533 -0.006468166 0.005125804 -0.020302996
    < mean -0.007930409 0.02591722 0.006303994 -0.001480841 0.002584521
    ---
    > 50 -0.002813578 0.01144533 -0.006468166 0.005122685 -0.020284870
    > mean -0.007930409 0.02591722 0.006303994 -0.001479403 0.002586458
    1850,1851c1850,1851
    < 50 0.003782139
    < mean -0.005399534
    ---
    > 50 0.003782239
    > mean -0.005399069
    1856,1857c1856,1857
    < 50 -0.001572159 -0.006468166 0.02121735 0.002632895 0.008923884
    < mean -0.001681515 0.006303994 0.03729586 -0.001274933 -0.002646746
    ---
    > 50 -0.001572159 -0.006468166 0.02121735 0.002631792 0.008918785
    > mean -0.001681515 0.006303994 0.03729586 -0.001273756 -0.002646520
    1859,1860c1859,1860
    < 50 -0.015845020
    < mean 0.002037634
    ---
    > 50 -0.015842908
    > mean 0.002036567
    1865,1866c1865,1866
    < 50 -0.031757991 0.005125804 0.002632895 0.050215500 -0.0241812828
    < mean 0.002258275 -0.001480841 -0.001274933 0.005159376 0.0005434598
    ---
    > 50 -0.031743940 0.005122685 0.002631792 0.050169955 -0.0241270415
    > mean 0.002256626 -0.001479403 -0.001273756 0.005158698 0.0005432138
    1868,1869c1868,1869
    < 50 -0.003702428
    < mean 0.001211449
    ---
    > 50 -0.003698285
    > mean 0.001211321
    1874,1875c1874,1875
    < 50 0.0142317501 -0.020302996 0.008923884 -0.0241812828 0.04687990
    < mean 0.0008258216 0.002584521 -0.002646746 0.0005434598 0.00198855
    ---
    > 50 0.0142068618 -0.020284870 0.008918785 -0.0241270415 0.046770483
    > mean 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.001989406
    1877,1878c1877,1878
    < 50 -0.004816571
    < mean -0.001092988
    ---
    > 50 -0.004816119
    > mean -0.001093343
    1883,1884c1883,1884
    < 50 0.002397555 0.003782139 -0.015845020 -0.003702428 -0.004816571
    < mean 0.002958044 -0.005399534 0.002037634 0.001211449 -0.001092988
    ---
    > 50 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
    > mean 0.002957937 -0.005399069 0.002036567 0.001211321 -0.001093343
    1886,1887c1886,1887
    < 50 0.019259311
    < mean 0.005235848
    ---
    > 50 0.019248488
    > mean 0.005235179
    1891,1896c1891,1896
    < d_y1_d_x1 0.0220552769 -0.007930409 -0.001681515 0.0022582754 0.0008258216
    < d_y2_d_x1 -0.0079304092 0.025917223 0.006303994 -0.0014808415 0.0025845213
    < d_y3_d_x1 -0.0016815147 0.006303994 0.037295860 -0.0012749332 -0.0026467458
    < d_y1_d_x2 0.0022582754 -0.001480841 -0.001274933 0.0051593763 0.0005434598
    < d_y2_d_x2 0.0008258216 0.002584521 -0.002646746 0.0005434598 0.0019885505
    < d_y3_d_x2 0.0029580441 -0.005399534 0.002037634 0.0012114494 -0.0010929880
    ---
    > d_y1_d_x1 0.0220552769 -0.007930409 -0.001681515 0.0022566258 0.0008256098
    > d_y2_d_x1 -0.0079304093 0.025917223 0.006303994 -0.0014794032 0.0025864581
    > d_y3_d_x1 -0.0016815147 0.006303994 0.037295860 -0.0012737564 -0.0026465199
    > d_y1_d_x2 0.0022566258 -0.001479403 -0.001273756 0.0051586985 0.0005432138
    > d_y2_d_x2 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.0019894058
    > d_y3_d_x2 0.0029579367 -0.005399069 0.002036567 0.0012113215 -0.0010933427
    1898,1903c1898,1903
    < d_y1_d_x1 0.002958044
    < d_y2_d_x1 -0.005399534
    < d_y3_d_x1 0.002037634
    < d_y1_d_x2 0.001211449
    < d_y2_d_x2 -0.001092988
    < d_y3_d_x2 0.005235848
    ---
    > d_y1_d_x1 0.002957937
    > d_y2_d_x1 -0.005399069
    > d_y3_d_x1 0.002036567
    > d_y1_d_x2 0.001211321
    > d_y2_d_x2 -0.001093343
    > d_y3_d_x2 0.005235179
    1910,1911c1910,1911
    < 50 -0.08621442 0 0 0.18094552 0 0
    < mean -0.11555729 0 0 0.08868676 0 0
    ---
    > 50 -0.08621442 0 0 0.18081872 0 0
    > mean -0.11555729 0 0 0.08871062 0 0
    1916,1917c1916,1917
    < 50 0.00650226 0 0 0.00000000 0 0
    < mean 0.15476204 0 0 0.06486015 0 0
    ---
    > 50 0.006502259 0 0 0.00000000 0 0
    > mean 0.154762044 0 0 0.06486142 0 0
    1923c1923
    < mean 0.05335740 0 0 0.16351258 0 0
    ---
    > mean 0.05335740 0 0 0.16351750 0 0
    1928,1929c1928,1929
    < 50 0 -0.167907668 0 0 0.371520183 0
    < mean 0 0.003481499 0 0 -0.001754192 0
    ---
    > 50 0 -0.167907668 0 0 0.371170187 0
    > mean 0 0.003481499 0 0 -0.001743184 0
    1935c1935
    < mean 0 0.22633598 0 0 0.04745523 0
    ---
    > mean 0 0.22633598 0 0 0.04748192 0
    1941c1941
    < mean 0 0.0907140 0 0 0.08275039 0
    ---
    > mean 0 0.0907140 0 0 0.08276367 0
    1946,1947c1946,1947
    < 50 0 0 -0.18169300 0 0 0.3006602
    < mean 0 0 0.01121233 0 0 -0.0130400
    ---
    > 50 0 0 -0.18169300 0 0 0.30059023
    > mean 0 0 0.01121233 0 0 -0.01301531
    1953c1953
    < mean 0 0 0.26243481 0 0 0.03618742
    ---
    > mean 0 0 0.26243481 0 0 0.03619013
    1958,1959c1958,1959
    < 50 0 0 0.18649349 0 0 -0.03893892
    < mean 0 0 0.08964001 0 0 0.12387318
    ---
    > 50 0 0 0.18649349 0 0 -0.03897388
    > mean 0 0 0.08964001 0 0 0.12386551
    1984,1985c1984,1985
    < d_y1_d_x2 0.08868676 0.06486015 0.1635126 0.000000000 0.00000000 0.00000000
    < d_y2_d_x2 0.00000000 0.00000000 0.0000000 -0.001754192 0.04745523 0.08275039
    ---
    > d_y1_d_x2 0.08871062 0.06486142 0.1635175 0.000000000 0.00000000 0.00000000
    > d_y2_d_x2 0.00000000 0.00000000 0.0000000 -0.001743184 0.04748192 0.08276367
    1993c1993
    < d_y3_d_x2 -0.01304000 0.03618742 0.12387318 0 0 0
    ---
    > d_y3_d_x2 -0.01301531 0.03619013 0.12386551 0 0 0
    2002,2004c2002,2004
    < 50: d_y1_d_x2 -0.105894 0.224088 -0.4726 0.6365305
    < 50: d_y2_d_x2 -0.317768 0.216518 -1.4676 0.1422039
    < 50: d_y3_d_x2 0.339568 0.138778 2.4468 0.0144113 *
    ---
    > 50: d_y1_d_x2 -0.105894 0.223987 -0.4728 0.6363775
    > 50: d_y2_d_x2 -0.317768 0.216265 -1.4693 0.1417382
    > 50: d_y3_d_x2 0.339568 0.138739 2.4475 0.0143838 *
    2008,2010c2008,2010
    < mean: d_y1_d_x2 -0.238531 0.071829 -3.3208 0.0008975 ***
    < mean: d_y2_d_x2 -0.337946 0.044593 -7.5784 3.498e-14 ***
    < mean: d_y3_d_x2 0.314311 0.072359 4.3438 1.401e-05 ***
    ---
    > mean: d_y1_d_x2 -0.238531 0.071824 -3.3210 0.0008968 ***
    > mean: d_y2_d_x2 -0.337946 0.044603 -7.5768 3.542e-14 ***
    > mean: d_y3_d_x2 0.314311 0.072355 4.3440 1.399e-05 ***
    2023c2023
    < d_y3_d_x2 0.4942 0.2615 1.890 0.0588 .
    ---
    > d_y3_d_x2 0.4942 0.2616 1.890 0.0588 .
    2036,2038c2036,2038
    < 1 0.3232361962 0.3432683006 -0.355048446 -0.459509098 -0.4313201490
    < 2 0.1153483935 0.3596761868 -0.361870523 -0.229189942 -0.5342318457
    < 3 0.2375484576 0.3307600421 -0.361244529 -0.089536452 -0.4547362686
    ---
    > 1 0.3232361962 0.3432683006 -0.355048446 -0.459509098 -0.4313201492
    > 2 0.1153483935 0.3596761868 -0.361870523 -0.229189942 -0.5342318452
    > 3 0.2375484576 0.3307600421 -0.361244529 -0.089536451 -0.4547362676
    2042,2045c2042,2045
    < 7 0.0100311239 0.0209668055 -0.053506160 -0.001106247 -0.0060166005
    < 8 0.4110128568 0.1322373739 -0.403457904 -0.470548413 -0.1341642415
    < 9 0.1474786224 0.3575139395 -0.360949264 -0.264433850 -0.4844316878
    < 10 0.3116938786 0.3484655128 -0.361307997 -0.453660745 -0.4473769717
    ---
    > 7 0.0100311239 0.0209668055 -0.053506160 -0.001106247 -0.0060166004
    > 8 0.4110128568 0.1322373739 -0.403457904 -0.470548414 -0.1341642415
    > 9 0.1474786224 0.3575139395 -0.360949264 -0.264433849 -0.4844316876
    > 10 0.3116938786 0.3484655128 -0.361307997 -0.453660745 -0.4473769719
    2047,2054c2047,2054
    < 12 0.1177334095 0.2436538299 -0.287657466 -0.031148919 -0.2231415097
    < 13 0.1471332486 0.3159154131 -0.349075440 -0.039228802 -0.3336039183
    < 14 0.0406336000 0.0999068773 -0.152735168 -0.007155819 -0.0531209315
    < 15 0.0358197254 0.0880153046 -0.139996990 -0.091958138 -0.2591680619
    < 16 0.1882725183 0.3350175752 -0.342159788 -0.067926448 -0.5870797951
    < 17 0.3833567162 0.2924153584 -0.314583141 -0.212937647 -0.5602548014
    < 18 0.3979220186 0.2666187494 -0.404805015 -0.513151557 -0.3701386059
    < 19 0.4437521979 0.1791338917 -0.160502351 -0.532987886 -0.4316406789
    ---
    > 12 0.1177334095 0.2436538298 -0.287657466 -0.031148920 -0.2231415107
    > 13 0.1471332486 0.3159154131 -0.349075440 -0.039228803 -0.3336039182
    > 14 0.0406336000 0.0999068773 -0.152735168 -0.007155819 -0.0531209314
    > 15 0.0358197254 0.0880153046 -0.139996990 -0.091958139 -0.2591680623
    > 16 0.1882725183 0.3350175752 -0.342159788 -0.067926448 -0.5870797947
    > 17 0.3833567161 0.2924153584 -0.314583141 -0.212937647 -0.5602548018
    > 18 0.3979220186 0.2666187493 -0.404805015 -0.513151557 -0.3701386058
    > 19 0.4437521979 0.1791338917 -0.160502351 -0.532987886 -0.4316406791
    2056,2071c2056,2071
    < 21 0.1201169118 0.2467991134 -0.290399333 -0.244509997 -0.5058124543
    < 22 0.0007497926 0.0006978391 -0.005797477 -0.002951779 -0.0038207791
    < 23 0.4535483129 0.0631045466 -0.259933151 -0.387912217 -0.0460271705
    < 24 0.0233590201 0.2044569486 -0.233822492 -0.072712001 -0.4720414684
    < 25 0.1747911246 0.1895312592 -0.261808609 -0.302155598 -0.4395843934
    < 26 0.4530947664 0.0604711728 -0.252242094 -0.382153939 -0.0433433668
    < 27 0.1689887911 0.2972946593 -0.333810139 -0.052838666 -0.3336920577
    < 28 0.0247529328 0.0595893814 -0.107382268 -0.003670897 -0.0251760064
    < 29 0.3008617678 0.2048889671 -0.428116555 -0.447474248 -0.2665140731
    < 30 0.2090453560 0.3214423438 -0.354022707 -0.073180136 -0.4091058938
    < 31 0.2455445912 0.3606360268 -0.379506727 -0.091829433 -0.5089267102
    < 32 0.2072019349 0.3187872119 -0.327786882 -0.311947694 -0.3715008226
    < 33 0.1474382857 0.2781589528 -0.317490037 -0.043152940 -0.2887484017
    < 34 0.4881154711 0.2484746725 -0.250623067 -0.449373107 -0.5284208166
    < 35 0.1861474779 0.3093531933 -0.343988258 -0.061166504 -0.3674094302
    < 36 0.4662923136 0.3127833842 -0.339277170 -0.321772793 -0.5593117659
    ---
    > 21 0.1201169118 0.2467991134 -0.290399333 -0.244509996 -0.5058124538
    > 22 0.0007497926 0.0006978391 -0.005797477 -0.002951779 -0.0038207794
    > 23 0.4535483129 0.0631045466 -0.259933151 -0.387912218 -0.0460271705
    > 24 0.0233590201 0.2044569486 -0.233822492 -0.072712001 -0.4720414686
    > 25 0.1747911246 0.1895312592 -0.261808609 -0.302155599 -0.4395843931
    > 26 0.4530947663 0.0604711728 -0.252242094 -0.382153939 -0.0433433667
    > 27 0.1689887911 0.2972946593 -0.333810139 -0.052838666 -0.3336920584
    > 28 0.0247529328 0.0595893814 -0.107382268 -0.003670897 -0.0251760065
    > 29 0.3008617678 0.2048889670 -0.428116555 -0.447474248 -0.2665140730
    > 30 0.2090453560 0.3214423437 -0.354022707 -0.073180136 -0.4091058932
    > 31 0.2455445912 0.3606360268 -0.379506727 -0.091829433 -0.5089267097
    > 32 0.2072019349 0.3187872119 -0.327786882 -0.311947694 -0.3715008229
    > 33 0.1474382857 0.2781589528 -0.317490037 -0.043152940 -0.2887484021
    > 34 0.4881154711 0.2484746725 -0.250623067 -0.449373107 -0.5284208167
    > 35 0.1861474779 0.3093531933 -0.343988258 -0.061166505 -0.3674094305
    > 36 0.4662923136 0.3127833842 -0.339277170 -0.321772793 -0.5593117663
    2073,2074c2073,2074
    < 38 0.3756418193 0.3074074008 -0.313706240 -0.474844441 -0.3482839440
    < 39 0.0638654116 0.3176168542 -0.326350396 -0.154807065 -0.5696465227
    ---
    > 38 0.3756418193 0.3074074008 -0.313706240 -0.474844440 -0.3482839442
    > 39 0.0638654116 0.3176168542 -0.326350396 -0.154807067 -0.5696465233
    2076c2076
    < 41 0.4537160101 0.1514742551 -0.139238355 -0.391407408 -0.1245240634
    ---
    > 41 0.4537160101 0.1514742551 -0.139238355 -0.391407408 -0.1245240635
    2079,2081c2079,2081
    < 44 0.0933321287 0.2073153800 -0.255570394 -0.022420511 -0.1675168916
    < 45 0.4138250511 0.0262438003 -0.134437144 -0.471512839 -0.0877855065
    < 46 0.0320414287 0.2395251689 -0.262837614 -0.092981736 -0.5147062188
    ---
    > 44 0.0933321287 0.2073153800 -0.255570394 -0.022420511 -0.1675168917
    > 45 0.4138250511 0.0262438003 -0.134437144 -0.471512840 -0.0877855065
    > 46 0.0320414287 0.2395251689 -0.262837614 -0.092981737 -0.5147062188
    2084,2085c2084,2085
    < 49 0.1820121476 0.3066912948 -0.341751326 -0.059108012 -0.3594666866
    < 50 0.1059631809 0.0980984696 -0.167108498 -0.194204529 -0.2810062302
    ---
    > 49 0.1820121476 0.3066912948 -0.341751326 -0.059108011 -0.3594666853
    > 50 0.1059631810 0.0980984696 -0.167108498 -0.194204529 -0.2810062303
    2088c2088
    < 2 0.497693369
    ---
    > 2 0.497693370
    2090c2090
    < 4 0.175490812
    ---
    > 4 0.175490813
    2092c2092
    < 6 0.120618005
    ---
    > 6 0.120618004
    2106c2106
    < 20 0.006078858
    ---
    > 20 0.006078859
    2109c2109
    < 23 0.167180008
    ---
    > 23 0.167180007
    2115c2115
    < 29 0.574533206
    ---
    > 29 0.574533205
    2122c2122
    < 36 0.542851699
    ---
    > 36 0.542851700
    2125,2127c2125,2127
    < 39 0.541591921
    < 40 0.117148028
    < 41 0.061954777
    ---
    > 39 0.541591920
    > 40 0.117148027
    > 41 0.061954778
    2129c2129
    < 43 0.554039711
    ---
    > 43 0.554039712
    2151c2151
    < 1 0.02917825 -0.01501905 -0.02193211 -0.01393966 0.008057498 0.01929274
    ---
    > 1 0.02917825 -0.01501905 -0.02193211 -0.01396746 0.008000066 0.01931686
    2156c2156
    < 1 -0.01501905 0.05320172 0.0319124 0.01165619 -0.02421629 -0.03105063
    ---
    > 1 -0.01501905 0.05320172 0.0319124 0.01182735 -0.0241312 -0.03099196
    2161c2161
    < 1 -0.02193211 0.0319124 0.1246049 0.03353623 -0.02198352 -0.07948636
    ---
    > 1 -0.02193211 0.0319124 0.1246049 0.0336234 -0.02175698 -0.07938726
    2166c2166
    < 1 -0.01393966 0.01165619 0.03353623 0.02888135 -0.007418727 -0.02724092
    ---
    > 1 -0.01396746 0.01182735 0.0336234 0.02911258 -0.007133504 -0.02753816
    2171c2171
    < 1 0.008057498 -0.02421629 -0.02198352 -0.007418727 0.06179845 -0.01293803
    ---
    > 1 0.008000066 -0.0241312 -0.02175698 -0.007133504 0.06178181 -0.01312535
    2176c2176
    < 1 0.01929274 -0.03105063 -0.07948636 -0.02724092 -0.01293803 0.1130413
    ---
    > 1 0.01931686 -0.03099196 -0.07938726 -0.02753816 -0.01312535 0.1127387
    2180,2185c2180,2185
    < d_y1_d_x1 0.029178251 -0.01501905 -0.02193211 -0.013939655 0.008057498
    < d_y2_d_x1 -0.015019052 0.05320172 0.03191240 0.011656187 -0.024216293
    < d_y3_d_x1 -0.021932108 0.03191240 0.12460488 0.033536227 -0.021983523
    < d_y1_d_x2 -0.013939655 0.01165619 0.03353623 0.028881355 -0.007418727
    < d_y2_d_x2 0.008057498 -0.02421629 -0.02198352 -0.007418727 0.061798453
    < d_y3_d_x2 0.019292735 -0.03105063 -0.07948636 -0.027240922 -0.012938028
    ---
    > d_y1_d_x1 0.029178251 -0.01501905 -0.02193211 -0.013967456 0.008000066
    > d_y2_d_x1 -0.015019052 0.05320172 0.03191240 0.011827349 -0.024131203
    > d_y3_d_x1 -0.021932109 0.03191240 0.12460488 0.033623397 -0.021756978
    > d_y1_d_x2 -0.013967456 0.01182735 0.03362340 0.029112578 -0.007133504
    > d_y2_d_x2 0.008000066 -0.02413120 -0.02175698 -0.007133504 0.061781812
    > d_y3_d_x2 0.019316858 -0.03099196 -0.07938726 -0.027538160 -0.013125355
    2187,2192c2187,2192
    < d_y1_d_x1 0.01929274
    < d_y2_d_x1 -0.03105063
    < d_y3_d_x1 -0.07948636
    < d_y1_d_x2 -0.02724092
    < d_y2_d_x2 -0.01293803
    < d_y3_d_x2 0.11304127
    ---
    > d_y1_d_x1 0.01931686
    > d_y2_d_x1 -0.03099196
    > d_y3_d_x1 -0.07938726
    > d_y1_d_x2 -0.02753816
    > d_y2_d_x2 -0.01312535
    > d_y3_d_x2 0.11273869
    2197c2197
    < 1 -0.2756386 0.0364304 0.02150771 0.304325 -0.0384709 -0.01402071
    ---
    > 1 -0.2756386 0.0364304 0.0215077 0.3042895 -0.03868758 -0.0142573
    2202c2202
    < 1 0.1088669 -0.01679467 -0.04018058 0.144698 -0.01875275 -0.007897993
    ---
    > 1 0.1088669 -0.01679466 -0.04018058 0.1456903 -0.01858427 -0.006984302
    2207c2207
    < 1 -0.04035577 0.005333712 0.003148906 0.2999689 -0.04561968 -0.06492977
    ---
    > 1 -0.04035577 0.005333712 0.003148906 0.2999736 -0.04553434 -0.06522682
    2212c2212
    < 1 0.02941159 0.02467612 0.002072236 -0.02209165 -0.06539509 -0.008223984
    ---
    > 1 0.02941159 0.02467612 0.002072237 -0.02415646 -0.06594595 -0.009121088
    2217c2217
    < 1 -0.02144958 0.3747664 0.01507689 -0.01125264 -0.03129292 -0.004099342
    ---
    > 1 -0.02144958 0.3747664 0.01507689 -0.0111527 -0.03157062 -0.004266047
    2222c2222
    < 1 0.004306099 0.003612788 0.0003033923 -0.04634272 0.3925973 0.01559792
    ---
    > 1 0.0043061 0.003612788 0.0003033925 -0.04436203 0.3924182 0.01701016
    2227c2227
    < 1 0.03799907 -0.001971137 0.1107795 -0.03705732 -0.0009858575 -0.1777884
    ---
    > 1 0.03799907 -0.001971137 0.1107795 -0.03651136 -0.0007867617 -0.1786325
    2232c2232
    < 1 -0.02673914 0.01016274 0.3997707 -0.01807894 -0.0002687431 -0.08601716
    ---
    > 1 -0.02673914 0.01016274 0.3997707 -0.01807419 -0.0004326831 -0.08606061
    2237c2237
    < 1 0.005563379 -0.0002885907 0.01621904 -0.05879743 0.01404065 0.3615913
    ---
    > 1 0.005563378 -0.0002885908 0.01621904 -0.06032818 0.013186 0.36048
    2242c2242
    < 1 0.05911053 -0.1147012 9.086998e-05 0.002284542 0.1110589 -0.03177905
    ---
    > 1 0.05911053 -0.1147012 9.086992e-05 0.002458758 0.1113038 -0.03156968
    2247c2247
    < 1 -0.04741947 -0.002969002 -0.1719091 -0.02127756 0.01916503 0.1866946
    ---
    > 1 -0.04741947 -0.002969002 -0.1719091 -0.02077546 0.01841092 0.1872539
    2252c2252
    < 1 -0.001938164 0.2156583 -0.2744872 0.00161783 -0.3538538 0.4662205
    ---
    > 1 -0.001938164 0.2156583 -0.2744872 0.00173081 -0.3540987 0.4665918
    2256,2261c2256,2261
    < d_y1_d_x1 -0.27563860 0.108866930 -0.040355770 0.029411588 -0.021449584
    < d_y2_d_x1 0.03643040 -0.016794665 0.005333712 0.024676118 0.374766355
    < d_y3_d_x1 0.02150771 -0.040180579 0.003148906 0.002072236 0.015076895
    < d_y1_d_x2 0.30432503 0.144698004 0.299968853 -0.022091646 -0.011252640
    < d_y2_d_x2 -0.03847090 -0.018752750 -0.045619677 -0.065395085 -0.031292919
    < d_y3_d_x2 -0.01402071 -0.007897993 -0.064929770 -0.008223984 -0.004099342
    ---
    > d_y1_d_x1 -0.27563860 0.108866929 -0.040355771 0.029411588 -0.021449583
    > d_y2_d_x1 0.03643040 -0.016794665 0.005333712 0.024676118 0.374766354
    > d_y3_d_x1 0.02150770 -0.040180579 0.003148906 0.002072237 0.015076895
    > d_y1_d_x2 0.30428951 0.145690299 0.299973601 -0.024156463 -0.011152701
    > d_y2_d_x2 -0.03868758 -0.018584272 -0.045534342 -0.065945950 -0.031570619
    > d_y3_d_x2 -0.01425730 -0.006984302 -0.065226821 -0.009121088 -0.004266047
    2263,2268c2263,2268
    < d_y1_d_x1 0.0043060991 0.0379990748 -0.0267391389 0.0055633792 5.911053e-02
    < d_y2_d_x1 0.0036127876 -0.0019711374 0.0101627380 -0.0002885907 -1.147012e-01
    < d_y3_d_x1 0.0003033923 0.1107795418 0.3997706695 0.0162190407 9.086998e-05
    < d_y1_d_x2 -0.0463427168 -0.0370573219 -0.0180789365 -0.0587974305 2.284542e-03
    < d_y2_d_x2 0.3925973489 -0.0009858575 -0.0002687431 0.0140406456 1.110589e-01
    < d_y3_d_x2 0.0155979238 -0.1777883870 -0.0860171575 0.3615912696 -3.177905e-02
    ---
    > d_y1_d_x1 0.0043060996 0.0379990740 -0.0267391390 0.0055633784 5.911053e-02
    > d_y2_d_x1 0.0036127877 -0.0019711371 0.0101627380 -0.0002885908 -1.147012e-01
    > d_y3_d_x1 0.0003033925 0.1107795413 0.3997706693 0.0162190406 9.086992e-05
    > d_y1_d_x2 -0.0443620333 -0.0365113561 -0.0180741893 -0.0603281798 2.458758e-03
    > d_y2_d_x2 0.3924182043 -0.0007867617 -0.0004326831 0.0131859993 1.113038e-01
    > d_y3_d_x2 0.0170101648 -0.1786325472 -0.0860606068 0.3604800463 -3.156968e-02
    2273,2275c2273,2275
    < d_y1_d_x2 -0.021277558 0.001617830
    < d_y2_d_x2 0.019165029 -0.353853774
    < d_y3_d_x2 0.186694581 0.466220488
    ---
    > d_y1_d_x2 -0.020775461 0.001730810
    > d_y2_d_x2 0.018410922 -0.354098693
    > d_y3_d_x2 0.187253948 0.466591818
    2281,2283c2281,2283
    < d_y1_d_x2 -0.2927 0.1699 -1.722 0.0850 .
    < d_y2_d_x2 -0.5708 0.2486 -2.296 0.0217 *
    < d_y3_d_x2 0.5331 0.3362 1.586 0.1128
    ---
    > d_y1_d_x2 -0.2927 0.1706 -1.716 0.0862 .
    > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
    > d_y3_d_x2 0.5331 0.3358 1.588 0.1123
    2300,2305c2300,2305
    < d_y1_d_x1 0.2979 0.1879 1.585 0.1130
    < d_y2_d_x1 0.3661 0.2559 1.430 0.1526
    < d_y3_d_x1 -0.3861 0.4037 -0.956 0.3389
    < d_y1_d_x2 -0.2927 0.1699 -1.722 0.0850 .
    < d_y2_d_x2 -0.5708 0.2486 -2.296 0.0217 *
    < d_y3_d_x2 0.5331 0.3362 1.586 0.1128
    ---
    > d_y1_d_x1 0.2979 0.1878 1.586 0.1128
    > d_y2_d_x1 0.3661 0.2556 1.432 0.1521
    > d_y3_d_x1 -0.3861 0.4035 -0.957 0.3387
    > d_y1_d_x2 -0.2927 0.1706 -1.716 0.0862 .
    > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
    > d_y3_d_x2 0.5331 0.3358 1.588 0.1123
    2331c2331
    < 2 1.153484e-01 0.3596761868 -0.361870523 -2.291899e-01 -0.534231846
    ---
    > 2 1.153484e-01 0.3596761868 -0.361870523 -2.291899e-01 -0.534231845
    2336c2336
    < 7 8.025561e-04 0.0243038218 -0.053506160 -1.527049e-05 -0.007237108
    ---
    > 7 8.025561e-04 0.0243038218 -0.053506160 -1.527073e-05 -0.007237107
    2341c2341
    < 12 4.168856e-02 0.2699812896 -0.287657466 -5.571665e-03 -0.243054032
    ---
    > 12 4.168856e-02 0.2699812896 -0.287657466 -5.571664e-03 -0.243054031
    2343c2343
    < 14 8.252791e-03 0.1126141858 -0.152735168 -4.572384e-04 -0.059829477
    ---
    > 14 8.252791e-03 0.1126141858 -0.152735168 -4.572389e-04 -0.059829478
    2351,2354c2351,2354
    < 22 7.527641e-06 0.0008764661 -0.005797477 -5.392652e-05 -0.004697059
    < 23 3.279646e-01 0.1482405271 -0.158642179 -3.376436e-01 -0.120972355
    < 24 2.335902e-02 0.2044569486 -0.233822492 -7.271200e-02 -0.472041468
    < 25 2.488912e-02 0.2112921915 -0.239529408 -7.643008e-02 -0.481082816
    ---
    > 22 7.527641e-06 0.0008764661 -0.005797477 -5.392636e-05 -0.004697058
    > 23 3.279646e-01 0.1482405272 -0.158642179 -3.376436e-01 -0.120972355
    > 24 2.335902e-02 0.2044569486 -0.233822492 -7.271200e-02 -0.472041469
    > 25 2.488912e-02 0.2112921915 -0.239529408 -7.643008e-02 -0.481082815
    2356,2358c2356,2358
    < 27 6.996050e-02 0.3267209724 -0.333810139 -1.277479e-02 -0.360544256
    < 28 3.697711e-03 0.0677386518 -0.107382268 -1.382741e-04 -0.028962153
    < 29 1.602838e-01 0.3525152587 -0.356977215 -2.764906e-01 -0.461795156
    ---
    > 27 6.996050e-02 0.3267209724 -0.333810139 -1.277478e-02 -0.360544256
    > 28 3.697711e-03 0.0677386518 -0.107382268 -1.382736e-04 -0.028962152
    > 29 1.602838e-01 0.3525152587 -0.356977215 -2.764906e-01 -0.461795157
    2362c2362
    < 33 5.764014e-02 0.3067479621 -0.317490037 -9.343950e-03 -0.312912587
    ---
    > 33 5.764014e-02 0.3067479621 -0.317490037 -9.343950e-03 -0.312912586
    2373c2373
    < 44 2.964178e-02 0.2306743304 -0.255570394 -3.255862e-03 -0.183536971
    ---
    > 44 2.964178e-02 0.2306743304 -0.255570394 -3.255863e-03 -0.183536972
    2382c2382
    < 2 0.4976933691
    ---
    > 2 0.4976933698
    2384,2386c2384,2386
    < 4 0.2097690593
    < 5 0.3905351555
    < 6 0.1540883667
    ---
    > 4 0.2097690590
    > 5 0.3905351556
    > 6 0.1540883658
    2388,2392c2388,2392
    < 8 0.2361440544
    < 9 0.4453484737
    < 10 0.4068752266
    < 11 0.5244770679
    < 12 0.2823961636
    ---
    > 8 0.2361440541
    > 9 0.4453484740
    > 10 0.4068752259
    > 11 0.5244770677
    > 12 0.2823961637
    2395,2397c2395,2397
    < 15 0.3345042189
    < 16 0.5221262888
    < 17 0.5221842928
    ---
    > 15 0.3345042190
    > 16 0.5221262890
    > 17 0.5221842932
    2399,2400c2399,2400
    < 19 0.4018382481
    < 20 0.0012165796
    ---
    > 19 0.4018382483
    > 20 0.0012165800
    2402,2414c2402,2414
    < 22 0.0220435518
    < 23 0.0875151207
    < 24 0.4749678440
    < 25 0.4816140288
    < 26 0.0826818549
    < 27 0.3680158263
    < 28 0.0701926442
    < 29 0.4218168734
    < 30 0.4221148379
    < 31 0.4682078466
    < 32 0.3286910112
    < 33 0.3343496417
    < 34 0.4927044674
    ---
    > 22 0.0220435519
    > 23 0.0875151197
    > 24 0.4749678438
    > 25 0.4816140290
    > 26 0.0826818553
    > 27 0.3680158264
    > 28 0.0701926441
    > 29 0.4218168732
    > 30 0.4221148377
    > 31 0.4682078465
    > 32 0.3286910106
    > 33 0.3343496420
    > 34 0.4927044671
    2416,2428c2416,2428
    < 36 0.5235976289
    < 37 0.3272971779
    < 38 0.3050670497
    < 39 0.5415919213
    < 40 0.0569044612
    < 41 0.0905951798
    < 42 0.2524085672
    < 43 0.3967870891
    < 44 0.2345316690
    < 45 0.2129895981
    < 46 0.5060433878
    < 47 0.0005616527
    < 48 0.0141168594
    ---
    > 36 0.5235976288
    > 37 0.3272971776
    > 38 0.3050670491
    > 39 0.5415919200
    > 40 0.0569044620
    > 41 0.0905951790
    > 42 0.2524085679
    > 43 0.3967870889
    > 44 0.2345316689
    > 45 0.2129895987
    > 46 0.5060433880
    > 47 0.0005616506
    > 48 0.0141168576
    2430c2430
    < 50 0.3535086387
    ---
    > 50 0.3535086386
    2444c2444
    < 1 0.7075564 -0.04370244 -0.2055559 -0.7494468 0.001477342 0.2025099
    ---
    > 1 0.7075564 -0.04370243 -0.2055559 -0.7499063 0.0007832827 0.2023201
    2449c2449
    < 1 -0.04370244 0.05320172 0.03726478 0.04088636 -0.02421629 -0.03718551
    ---
    > 1 -0.04370243 0.05320172 0.03726478 0.04091681 -0.0241312 -0.03729361
    2454c2454
    < 1 -0.2055559 0.03726478 0.1611677 0.2187928 -0.02822653 -0.1081689
    ---
    > 1 -0.2055559 0.03726478 0.1611677 0.2190094 -0.02792443 -0.1079185
    2459c2459
    < 1 -0.7494468 0.04088636 0.2187928 0.8041987 -0.0007561653 -0.2123919
    ---
    > 1 -0.7499063 0.04091681 0.2190094 0.8052599 2.871672e-05 -0.2123891
    2464c2464
    < 1 0.001477342 -0.02421629 -0.02822653 -0.0007561653 0.06179845 -0.003993525
    ---
    > 1 0.0007832827 -0.0241312 -0.02792443 2.871672e-05 0.06178181 -0.004283597
    2469c2469
    < 1 0.2025099 -0.03718551 -0.1081689 -0.2123919 -0.003993525 0.1322503
    ---
    > 1 0.2023201 -0.03729361 -0.1079185 -0.2123891 -0.004283597 0.1320079
    2473,2478c2473,2478
    < d_y1_d_x1 0.707556354 -0.04370244 -0.20555591 -0.7494467925 0.0014773420
    < d_y2_d_x1 -0.043702435 0.05320172 0.03726478 0.0408863615 -0.0242162934
    < d_y3_d_x1 -0.205555912 0.03726478 0.16116766 0.2187927744 -0.0282265349
    < d_y1_d_x2 -0.749446792 0.04088636 0.21879277 0.8041986573 -0.0007561653
    < d_y2_d_x2 0.001477342 -0.02421629 -0.02822653 -0.0007561653 0.0617984530
    < d_y3_d_x2 0.202509869 -0.03718551 -0.10816894 -0.2123918599 -0.0039935254
    ---
    > d_y1_d_x1 0.7075563550 -0.04370243 -0.20555591 -7.499063e-01 7.832827e-04
    > d_y2_d_x1 -0.0437024348 0.05320172 0.03726478 4.091681e-02 -2.413120e-02
    > d_y3_d_x1 -0.2055559118 0.03726478 0.16116766 2.190094e-01 -2.792443e-02
    > d_y1_d_x2 -0.7499062842 0.04091681 0.21900944 8.052599e-01 2.871672e-05
    > d_y2_d_x2 0.0007832827 -0.02413120 -0.02792443 2.871672e-05 6.178181e-02
    > d_y3_d_x2 0.2023200623 -0.03729361 -0.10791847 -2.123891e-01 -4.283597e-03
    2480,2485c2480,2485
    < d_y1_d_x1 0.202509869
    < d_y2_d_x1 -0.037185514
    < d_y3_d_x1 -0.108168937
    < d_y1_d_x2 -0.212391860
    < d_y2_d_x2 -0.003993525
    < d_y3_d_x2 0.132250302
    ---
    > d_y1_d_x1 0.202320062
    > d_y2_d_x1 -0.037293615
    > d_y3_d_x1 -0.107918471
    > d_y1_d_x2 -0.212389056
    > d_y2_d_x2 -0.004283597
    > d_y3_d_x2 0.132007915
    2491,2493c2491,2493
    < d_y1_d_x2 -0.1438 0.8968 -0.160 0.8726
    < d_y2_d_x2 -0.5708 0.2486 -2.296 0.0217 *
    < d_y3_d_x2 0.5247 0.3637 1.443 0.1491
    ---
    > d_y1_d_x2 -0.1438 0.8974 -0.160 0.8727
    > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
    > d_y3_d_x2 0.5247 0.3633 1.444 0.1487
    Running 'mvProbitTest.R'
    Comparing 'mvProbitTest.Rout' to 'mvProbitTest.Rout.save' ...374c374
    < [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604012 0.118484255
    ---
    > [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604016 0.118484255
    376c376
    < [5,] -1.24501533 0.00000000 0.77818347 -1.02288104 -0.6958962375 -0.901556093
    ---
    > [5,] -1.24501533 0.00000000 0.77818347 -1.02288104 -0.6958962371 -0.901556093
    378c378
    < [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688745 0.055215326
    ---
    > [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688745 0.055215327
    381c381
    < [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026087 0.003157443
    ---
    > [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026088 0.003157443
    410c410
    < [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935271
    ---
    > [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935272
    414c414
    < [7,] 0.071223890 0.07122389 0.07122389 0.059670453 0.039452170
    ---
    > [7,] 0.071223890 0.07122389 0.07122389 0.059670452 0.039452170
    430,439c430,439
    < [1,] 0.0000000 -0.31393221 0.33522426 -0.13388086 -0.0089522338 0.03164832
    < [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.24260659
    < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604440 0.11848420
    < [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.94727309
    < [5,] -1.2450149 0.00000000 0.77818321 -1.02288070 -0.6958959089 -0.90155544
    < [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805997 0.01511256
    < [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688918 0.05521531
    < [8,] 0.0000000 0.00000000 0.06001809 -0.02422734 -0.0620710618 0.15955289
    < [9,] 0.0000000 -0.06658587 0.07578384 0.02037279 -0.0038911139 0.02456624
    < [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026085 0.00315744
    ---
    > [1,] 0.0000000 -0.31393221 0.33522426 -0.13388086 -0.0089522338 0.031648323
    > [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.242606594
    > [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604439 0.118484204
    > [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.947273090
    > [5,] -1.2450149 0.00000000 0.77818321 -1.02288070 -0.6958959089 -0.901555435
    > [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805997 0.015112555
    > [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688919 0.055215307
    > [8,] 0.0000000 0.00000000 0.06001809 -0.02422734 -0.0620710620 0.159552892
    > [9,] 0.0000000 -0.06658587 0.07578384 0.02037279 -0.0038911139 0.024566240
    > [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026087 0.003157441
    472c472
    < [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918212
    ---
    > [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918213
    487,496c487,496
    < [1,] 0.0000000 -0.31393221 0.33522426 -0.13388086 -0.0089522338 0.03164832
    < [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.24260659
    < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604440 0.11848420
    < [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.94727309
    < [5,] -1.2450149 0.00000000 0.77818321 -1.02288070 -0.6958959089 -0.90155544
    < [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805997 0.01511256
    < [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688918 0.05521531
    < [8,] 0.0000000 0.00000000 0.06001809 -0.02422734 -0.0620710618 0.15955289
    < [9,] 0.0000000 -0.06658587 0.07578384 0.02037279 -0.0038911139 0.02456624
    < [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026085 0.00315744
    ---
    > [1,] 0.0000000 -0.31393221 0.33522426 -0.13388086 -0.0089522338 0.031648323
    > [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.242606594
    > [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604439 0.118484204
    > [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.947273090
    > [5,] -1.2450149 0.00000000 0.77818321 -1.02288070 -0.6958959089 -0.901555435
    > [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805997 0.015112555
    > [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688919 0.055215307
    > [8,] 0.0000000 0.00000000 0.06001809 -0.02422734 -0.0620710620 0.159552892
    > [9,] 0.0000000 -0.06658587 0.07578384 0.02037279 -0.0038911139 0.024566240
    > [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026087 0.003157441
    511,512c511,512
    < [2,] 4.905034e-07 NaN 4.905034e-07 4.869870e-07 4.899239e-07
    < [3,] 7.719152e-07 7.719152e-07 7.719152e-07 7.719682e-07 7.722624e-07
    ---
    > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
    > [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719682e-07 7.722624e-07
    514,518c514,518
    < [5,] -4.202354e-07 -4.202354e-07 NaN -4.195755e-07 -4.198882e-07
    < [6,] 1.035525e-06 1.035525e-06 1.035525e-06 1.033325e-06 1.034561e-06
    < [7,] -1.038926e-06 -1.038926e-06 -1.038926e-06 -1.040666e-06 -1.039924e-06
    < [8,] -7.575738e-07 NaN NaN -7.565518e-07 -7.311957e-07
    < [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.726348e-07
    ---
    > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
    > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
    > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
    > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
    > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
    522c522
    < [2,] -5.540883e-07 NaN -5.540883e-07 -5.522756e-07 -5.537955e-07
    ---
    > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
    526c526
    < [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.977849e-07 -9.994048e-07
    ---
    > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
    528,530c528,530
    < [8,] 5.606019e-07 NaN NaN 5.592314e-07 5.543037e-07
    < [9,] -9.636528e-07 NaN -9.636528e-07 -9.645375e-07 -9.626632e-07
    < [10,] 8.286660e-07 NaN NaN 8.277316e-07 8.251560e-07
    ---
    > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
    > [9,] -9.653143e-07 NaN -9.653143e-07 -9.645375e-07 -9.626632e-07
    > [10,] 8.286660e-07 NaN NaN 8.285449e-07 8.251560e-07
    532,536c532,536
    < [1,] 6.348028e-07 NaN 6.348028e-07 6.347621e-07 6.342468e-07
    < [2,] 7.477358e-07 NaN 7.477358e-07 7.462542e-07 7.416028e-07
    < [3,] 6.762410e-07 6.762410e-07 6.762410e-07 6.752614e-07 6.761747e-07
    < [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.504327e-07 4.498411e-07
    < [5,] 3.377891e-07 3.377891e-07 NaN 3.368597e-07 3.377633e-07
    ---
    > [1,] 6.348028e-07 NaN 6.348028e-07 6.354245e-07 6.342468e-07
    > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
    > [3,] 6.754708e-07 6.754708e-07 6.754708e-07 6.748861e-07 6.770351e-07
    > [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.496625e-07 4.498411e-07
    > [5,] 3.381458e-07 3.381458e-07 NaN 3.372164e-07 3.381200e-07
    538,541c538,541
    < [7,] -6.157089e-07 -6.157089e-07 -6.157089e-07 -6.154662e-07 -6.173585e-07
    < [8,] -5.989155e-07 NaN NaN -5.969109e-07 -6.023370e-07
    < [9,] 1.027925e-06 NaN 1.027925e-06 1.025151e-06 1.029128e-06
    < [10,] -8.031951e-07 NaN NaN -8.025737e-07 -7.995897e-07
    ---
    > [7,] -6.152245e-07 -6.152245e-07 -6.152245e-07 -6.154662e-07 -6.161925e-07
    > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
    > [9,] 1.026049e-06 NaN 1.026049e-06 1.025151e-06 1.029128e-06
    > [10,] -8.031951e-07 NaN NaN -8.032986e-07 -8.019783e-07
    543,545c543,545
    < [1,] -1.550204e-06 3.472920e-07 -1.876259e-07
    < [2,] -6.316574e-08 4.667752e-08 -2.680633e-07
    < [3,] -8.752904e-07 4.235339e-07 -2.990464e-07
    ---
    > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
    > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
    > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
    547c547
    < [5,] 4.722344e-07 7.295127e-07 -5.933169e-07
    ---
    > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
    549,552c549,552
    < [7,] -1.418697e-06 3.508699e-07 -2.906671e-07
    < [8,] -7.190302e-07 2.901627e-07 -1.611831e-07
    < [9,] -2.389577e-06 9.343661e-07 -1.400272e-06
    < [10,] 3.668842e-07 7.296140e-07 -9.007324e-07
    ---
    > [7,] -1.432382e-06 3.538860e-07 -2.906671e-07
    > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
    > [9,] -2.389577e-06 9.292818e-07 -1.400272e-06
    > [10,] 3.668841e-07 6.856613e-07 -9.048976e-07
    558,559c558,559
    < [2,] -3.042011e-07 0.000000e+00 -3.042011e-07 6.583286e-08 8.965504e-08
    < [3,] -1.612044e-07 -1.612044e-07 -1.612044e-07 1.654078e-07 -1.443631e-07
    ---
    > [2,] -3.042011e-07 0.000000e+00 -3.042011e-07 6.594388e-08 8.965504e-08
    > [3,] -1.610934e-07 -1.610934e-07 -1.610934e-07 1.654078e-07 -1.443631e-07
    561,565c561,565
    < [5,] -3.854694e-07 -3.854694e-07 0.000000e+00 2.405552e-07 -3.164328e-07
    < [6,] -6.308842e-08 -6.308842e-08 -6.308842e-08 1.061847e-07 -4.340476e-08
    < [7,] -7.399636e-08 -7.399636e-08 -7.399636e-08 -6.209700e-08 -4.102726e-08
    < [8,] -1.703082e-07 0.000000e+00 0.000000e+00 -2.608547e-08 1.017694e-08
    < [9,] -1.062900e-07 0.000000e+00 -1.062900e-07 1.209281e-07 3.249322e-08
    ---
    > [5,] -3.854694e-07 -3.854694e-07 0.000000e+00 2.409993e-07 -3.164328e-07
    > [6,] -6.321332e-08 -6.321332e-08 -6.321332e-08 1.064345e-07 -4.340476e-08
    > [7,] -7.377432e-08 -7.377432e-08 -7.377432e-08 -6.209700e-08 -4.102726e-08
    > [8,] -1.705303e-07 0.000000e+00 0.000000e+00 -2.619649e-08 1.039898e-08
    > [9,] -1.062900e-07 0.000000e+00 -1.062900e-07 1.209281e-07 3.235444e-08
    569c569
    < [2,] -2.429168e-07 0.000000e+00 -2.429168e-07 5.277654e-08 7.163994e-08
    ---
    > [2,] -2.428058e-07 0.000000e+00 -2.428058e-07 5.277654e-08 7.163994e-08
    573c573
    < [6,] -6.454559e-08 -6.454559e-08 -6.454559e-08 1.088465e-07 -4.451183e-08
    ---
    > [6,] -6.454559e-08 -6.454559e-08 -6.454559e-08 1.089714e-07 -4.451183e-08
    575,577c575,577
    < [8,] -2.345901e-07 0.000000e+00 0.000000e+00 -3.589186e-08 1.436070e-08
    < [9,] -7.244205e-08 0.000000e+00 -7.244205e-08 8.252467e-08 2.214180e-08
    < [10,] -1.127709e-07 0.000000e+00 0.000000e+00 -1.412344e-07 4.272432e-08
    ---
    > [8,] -2.344791e-07 0.000000e+00 0.000000e+00 -3.598585e-08 1.435383e-08
    > [9,] -7.256695e-08 0.000000e+00 -7.256695e-08 8.252467e-08 2.214180e-08
    > [10,] -1.127709e-07 0.000000e+00 0.000000e+00 -1.413732e-07 4.272432e-08
    579,583c579,583
    < [1,] -1.992850e-07 0.000000e+00 -1.992850e-07 2.127877e-07 -8.491351e-08
    < [2,] -1.799672e-07 0.000000e+00 -1.799672e-07 3.915060e-08 5.266762e-08
    < [3,] -1.949552e-07 -1.949552e-07 -1.949552e-07 1.997351e-07 -1.744923e-07
    < [4,] -3.566036e-07 -3.566036e-07 -3.566036e-07 2.597005e-07 -3.124639e-07
    < [5,] -4.205525e-07 -4.205525e-07 0.000000e+00 2.621385e-07 -3.454916e-07
    ---
    > [1,] -1.992850e-07 0.000000e+00 -1.992850e-07 2.130097e-07 -8.491351e-08
    > [2,] -1.801892e-07 0.000000e+00 -1.801892e-07 3.897695e-08 5.295519e-08
    > [3,] -1.947331e-07 -1.947331e-07 -1.947331e-07 1.996241e-07 -1.747143e-07
    > [4,] -3.566036e-07 -3.566036e-07 -3.566036e-07 2.592565e-07 -3.124639e-07
    > [5,] -4.209966e-07 -4.209966e-07 0.000000e+00 2.624161e-07 -3.458564e-07
    585,588c585,588
    < [7,] -2.116640e-07 -2.116640e-07 -2.116640e-07 -1.772595e-07 -1.175586e-07
    < [8,] -2.343681e-07 0.000000e+00 0.000000e+00 -3.582545e-08 1.459302e-08
    < [9,] -6.844525e-08 0.000000e+00 -6.844525e-08 7.768985e-08 2.096622e-08
    < [10,] -1.226519e-07 0.000000e+00 0.000000e+00 -1.536638e-07 4.645601e-08
    ---
    > [7,] -2.114975e-07 -2.114975e-07 -2.114975e-07 -1.772595e-07 -1.173365e-07
    > [8,] -2.342571e-07 0.000000e+00 0.000000e+00 -3.582545e-08 1.459302e-08
    > [9,] -6.832035e-08 0.000000e+00 -6.832035e-08 7.768985e-08 2.096622e-08
    > [10,] -1.226519e-07 0.000000e+00 0.000000e+00 -1.538026e-07 4.659479e-08
    590,592c590,592
    < [1,] 1.387779e-08 1.099121e-08 3.030909e-08
    < [2,] 1.332268e-08 1.132427e-08 3.552714e-08
    < [3,] 4.285461e-08 5.018208e-08 3.863576e-08
    ---
    > [1,] 1.387779e-08 1.121325e-08 3.030909e-08
    > [2,] 1.332268e-08 1.143530e-08 3.552714e-08
    > [3,] 4.229950e-08 5.040413e-08 3.863576e-08
    594c594
    < [5,] -3.286260e-07 -6.576961e-07 -6.030731e-07
    ---
    > [5,] -3.281819e-07 -6.576961e-07 -6.030731e-07
    596,599c596,599
    < [7,] 1.726397e-08 1.937339e-08 3.752554e-08
    < [8,] 4.463097e-08 4.629630e-08 3.097522e-08
    < [9,] 9.298118e-09 2.295386e-08 1.078304e-08
    < [10,] -1.110223e-10 2.303713e-09 2.400857e-08
    ---
    > [7,] 1.743050e-08 1.953993e-08 3.752554e-08
    > [8,] 4.474199e-08 4.629630e-08 3.086420e-08
    > [9,] 9.298118e-09 2.282896e-08 1.078304e-08
    > [10,] -1.110223e-10 2.164935e-09 2.411960e-08
    605,606c605,606
    < [2,] 4.905034e-07 NaN 4.905034e-07 4.869870e-07 4.899239e-07
    < [3,] 7.719152e-07 7.719152e-07 7.719152e-07 7.719682e-07 7.722624e-07
    ---
    > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
    > [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719682e-07 7.722624e-07
    608,612c608,612
    < [5,] -4.202354e-07 -4.202354e-07 NaN -4.195755e-07 -4.198882e-07
    < [6,] 1.035525e-06 1.035525e-06 1.035525e-06 1.033325e-06 1.034561e-06
    < [7,] -1.038926e-06 -1.038926e-06 -1.038926e-06 -1.040666e-06 -1.039924e-06
    < [8,] -7.575738e-07 NaN NaN -7.565518e-07 -7.311957e-07
    < [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.726348e-07
    ---
    > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
    > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
    > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
    > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
    > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
    616c616
    < [2,] -5.540883e-07 NaN -5.540883e-07 -5.522756e-07 -5.537955e-07
    ---
    > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
    620c620
    < [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.977849e-07 -9.994048e-07
    ---
    > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
    622,624c622,624
    < [8,] 5.606019e-07 NaN NaN 5.592314e-07 5.543037e-07
    < [9,] -9.636528e-07 NaN -9.636528e-07 -9.645375e-07 -9.626632e-07
    < [10,] 8.286660e-07 NaN NaN 8.277316e-07 8.251560e-07
    ---
    > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
    > [9,] -9.653143e-07 NaN -9.653143e-07 -9.645375e-07 -9.626632e-07
    > [10,] 8.286660e-07 NaN NaN 8.285449e-07 8.251560e-07
    626,630c626,630
    < [1,] 6.348028e-07 NaN 6.348028e-07 6.347621e-07 6.342468e-07
    < [2,] 7.477358e-07 NaN 7.477358e-07 7.462542e-07 7.416028e-07
    < [3,] 6.762410e-07 6.762410e-07 6.762410e-07 6.752614e-07 6.761747e-07
    < [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.504327e-07 4.498411e-07
    < [5,] 3.377891e-07 3.377891e-07 NaN 3.368597e-07 3.377633e-07
    ---
    > [1,] 6.348028e-07 NaN 6.348028e-07 6.354245e-07 6.342468e-07
    > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
    > [3,] 6.754708e-07 6.754708e-07 6.754708e-07 6.748861e-07 6.770351e-07
    > [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.496625e-07 4.498411e-07
    > [5,] 3.381458e-07 3.381458e-07 NaN 3.372164e-07 3.381200e-07
    632,635c632,635
    < [7,] -6.157089e-07 -6.157089e-07 -6.157089e-07 -6.154662e-07 -6.173585e-07
    < [8,] -5.989155e-07 NaN NaN -5.969109e-07 -6.023370e-07
    < [9,] 1.027925e-06 NaN 1.027925e-06 1.025151e-06 1.029128e-06
    < [10,] -8.031951e-07 NaN NaN -8.025737e-07 -7.995897e-07
    ---
    > [7,] -6.152245e-07 -6.152245e-07 -6.152245e-07 -6.154662e-07 -6.161925e-07
    > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
    > [9,] 1.026049e-06 NaN 1.026049e-06 1.025151e-06 1.029128e-06
    > [10,] -8.031951e-07 NaN NaN -8.032986e-07 -8.019783e-07
    637,639c637,639
    < [1,] -1.550204e-06 3.472920e-07 -1.876259e-07
    < [2,] -6.316574e-08 4.667752e-08 -2.680633e-07
    < [3,] -8.752904e-07 4.235339e-07 -2.990464e-07
    ---
    > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
    > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
    > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
    641c641
    < [5,] 4.722344e-07 7.295127e-07 -5.933169e-07
    ---
    > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
    643,646c643,646
    < [7,] -1.418697e-06 3.508699e-07 -2.906671e-07
    < [8,] -7.190302e-07 2.901627e-07 -1.611831e-07
    < [9,] -2.389577e-06 9.343661e-07 -1.400272e-06
    < [10,] 3.668842e-07 7.296140e-07 -9.007324e-07
    ---
    > [7,] -1.432382e-06 3.538860e-07 -2.906671e-07
    > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
    > [9,] -2.389577e-06 9.292818e-07 -1.400272e-06
    > [10,] 3.668841e-07 6.856613e-07 -9.048976e-07
    648c648
    < [1] -1.170599e-07 2.637806e-08
    ---
    > [1] -1.170599e-07 2.252657e-08
    652,653c652,653
    < [2,] 0 0 0 -4.753517e-10 -1.060298e-10 0 0 0
    < [3,] 0 0 0 1.135653e-11 -6.490333e-11 0 0 0
    ---
    > [2,] 0 0 0 -3.643294e-10 -1.060298e-10 0 0 0
    > [3,] 0 0 0 1.252659e-10 -1.642822e-10 0 0 0
    655,659c655,659
    < [5,] 0 0 0 -3.783378e-10 2.616248e-10 0 0 0
    < [6,] 0 0 0 -2.260945e-10 4.046687e-11 0 0 0
    < [7,] 0 0 0 -1.038017e-10 -3.936437e-11 0 0 0
    < [8,] 0 0 0 3.523531e-11 -3.671354e-10 0 0 0
    < [9,] 0 0 0 -4.448322e-11 -2.754534e-11 0 0 0
    ---
    > [5,] 0 0 0 6.575140e-11 2.616248e-10 0 0 0
    > [6,] 0 0 0 -1.869624e-10 1.264781e-10 0 0 0
    > [7,] 0 0 0 -2.898278e-10 -1.623588e-10 0 0 0
    > [8,] 0 0 0 -4.173131e-11 -1.588380e-10 0 0 0
    > [9,] 0 0 0 -4.448322e-11 -1.663232e-10 0 0 0
    662,665c662,665
    < [1,] -1.034852e-10 4.275993e-11 0 0 0 -1.363026e-11 7.442630e-11
    < [2,] -1.732271e-10 -3.787851e-11 0 0 0 -7.772862e-11 -4.355518e-10
    < [3,] -1.606591e-10 -8.818213e-11 0 0 0 -2.897503e-10 1.711387e-11
    < [4,] 1.486723e-10 -6.110910e-10 0 0 0 -2.247198e-10 6.817048e-10
    ---
    > [1,] -1.034852e-10 4.275993e-11 0 0 0 2.084143e-10 7.442630e-11
    > [2,] -1.490270e-10 -5.118989e-12 0 0 0 -2.997732e-10 -2.135072e-10
    > [3,] -1.606591e-10 -8.818213e-11 0 0 0 -1.729538e-10 -4.036885e-10
    > [4,] 1.486723e-10 -6.110910e-10 0 0 0 -6.688090e-10 6.817048e-10
    667,671c667,671
    < [6,] -2.207562e-11 -6.313480e-11 0 0 0 -4.762960e-10 -3.519740e-12
    < [7,] 3.496612e-10 1.553381e-10 0 0 0 6.988565e-11 -3.141250e-10
    < [8,] 8.795929e-11 -1.631720e-10 0 0 0 1.203109e-10 8.289465e-11
    < [9,] 7.569023e-11 -2.276118e-11 0 0 0 -2.102194e-10 2.452711e-11
    < [10,] 1.594356e-10 -1.817360e-10 0 0 0 1.189658e-10 -2.094748e-10
    ---
    > [6,] 1.028245e-10 -6.313480e-11 0 0 0 -4.762960e-10 -3.519740e-12
    > [7,] 3.496612e-10 1.553381e-10 0 0 0 -6.963397e-11 -1.843262e-10
    > [8,] -2.306301e-11 -1.631720e-10 0 0 0 1.032831e-10 8.976823e-11
    > [9,] -6.646317e-11 -6.097595e-11 0 0 0 -6.806601e-11 6.274188e-11
    > [10,] 2.065775e-11 -1.817360e-10 0 0 0 -1.981207e-11 -7.069692e-11
    1498,1499c1498,1499
    < 1 0.176511552 -0.35179286 0.2229842 -0.1468374649 -0.32872178 0.6037347
    < 2 0.470625850 -0.39065433 0.2417527 -0.4007656058 -0.40480342 0.4969012
    ---
    > 1 0.176511552 -0.35179286 0.2229842 -0.1468374650 -0.32872178 0.6037347
    > 2 0.470625849 -0.39065433 0.2417527 -0.4007656059 -0.40480342 0.4969012
    1501,1502c1501,1502
    < 4 0.520056790 -0.45146105 0.2436830 -0.4144341595 -0.44879952 0.5673865
    < 5 0.329853049 -0.50531263 0.2791236 -0.2238687971 -0.56755035 0.4883268
    ---
    > 4 0.520056790 -0.45146105 0.2436830 -0.4144341596 -0.44879952 0.5673865
    > 5 0.329853048 -0.50531263 0.2791236 -0.2238687970 -0.56755035 0.4883268
    1507c1507
    < 10 0.001136227 -0.14918719 0.1853440 -0.0006208181 -0.19920183 0.1994459
    ---
    > 10 0.001136227 -0.14918719 0.1853440 -0.0006208183 -0.19920183 0.1994459
    1526c1526
    < 2 0.5099557823 0.22543984 -0.32620929 -0.3353288226 0.20402620 -0.14650352
    ---
    > 2 0.5099557824 0.22543984 -0.32620929 -0.3353288225 0.20402620 -0.14650352
    1528,1530c1528,1530
    < 4 0.5392597434 0.24342496 -0.38415941 -0.3688050821 0.23826960 -0.14572352
    < 5 0.3084532161 0.32945682 -0.30363340 -0.2310713588 0.26068085 -0.17458867
    < 6 0.3290263251 0.02481757 -0.26612804 -0.1861210493 0.02795716 -0.09105967
    ---
    > 4 0.5392597435 0.24342496 -0.38415941 -0.3688050820 0.23826960 -0.14572352
    > 5 0.3084532159 0.32945682 -0.30363340 -0.2310713585 0.26068085 -0.17458867
    > 6 0.3290263250 0.02481757 -0.26612804 -0.1861210493 0.02795716 -0.09105967
    1533,1534c1533,1534
    < 9 0.4656624778 0.03483961 -0.22862972 -0.2647877107 0.03761669 -0.08212529
    < 10 0.0009338783 0.12485332 -0.09718526 -0.0007862238 0.07414565 -0.12046481
    ---
    > 9 0.4656624777 0.03483961 -0.22862972 -0.2647877107 0.03761669 -0.08212529
    > 10 0.0009338784 0.12485332 -0.09718526 -0.0007862237 0.07414565 -0.12046481
    1536,1537c1536,1537
    < 1 0.176511552 -0.35179286 0.2229842 -0.1468374649 -0.32872178 0.6037347
    < 2 0.470625850 -0.39065433 0.2417527 -0.4007656058 -0.40480342 0.4969012
    ---
    > 1 0.176511552 -0.35179286 0.2229842 -0.1468374650 -0.32872178 0.6037347
    > 2 0.470625849 -0.39065433 0.2417527 -0.4007656059 -0.40480342 0.4969012
    1539,1540c1539,1540
    < 4 0.520056790 -0.45146105 0.2436830 -0.4144341595 -0.44879952 0.5673865
    < 5 0.329853049 -0.50531263 0.2791236 -0.2238687971 -0.56755035 0.4883268
    ---
    > 4 0.520056790 -0.45146105 0.2436830 -0.4144341596 -0.44879952 0.5673865
    > 5 0.329853048 -0.50531263 0.2791236 -0.2238687970 -0.56755035 0.4883268
    1545c1545
    < 10 0.001136227 -0.14918719 0.1853440 -0.0006208181 -0.19920183 0.1994459
    ---
    > 10 0.001136227 -0.14918719 0.1853440 -0.0006208183 -0.19920183 0.1994459
    1590,1591c1590,1591
    < 1 0.176546731 -0.35173837 0.2230884 -0.1468532996 -0.32870549 0.6038590
    < 2 0.470508468 -0.39074154 0.2416959 -0.4008818186 -0.40494388 0.4968085
    ---
    > 1 0.176546731 -0.35173837 0.2230884 -0.1468532997 -0.32870549 0.6038590
    > 2 0.470508468 -0.39074154 0.2416959 -0.4008818185 -0.40494388 0.4968085
    1594c1594
    < 5 0.329930691 -0.50525720 0.2791793 -0.2238869513 -0.56754997 0.4882992
    ---
    > 5 0.329930691 -0.50525720 0.2791793 -0.2238869512 -0.56754997 0.4882992
    1596,1599c1596,1599
    < 7 0.036014555 -0.30982678 0.2977379 -0.0217517285 -0.39933488 0.3574964
    < 8 0.147297394 -0.38616972 0.2839504 -0.0911171914 -0.46687210 0.4072593
    < 9 0.361303561 -0.07095789 0.1415239 -0.3929209852 -0.06636947 0.3342959
    < 10 0.001077011 -0.14918942 0.1852891 -0.0006898552 -0.19920415 0.1993821
    ---
    > 7 0.036014555 -0.30982678 0.2977379 -0.0217517288 -0.39933488 0.3574964
    > 8 0.147297395 -0.38616972 0.2839504 -0.0911171908 -0.46687210 0.4072593
    > 9 0.361303561 -0.07095789 0.1415239 -0.3929209851 -0.06636947 0.3342959
    > 10 0.001077011 -0.14918942 0.1852891 -0.0006898554 -0.19920415 0.1993821
    1607,1608c1607,1608
    < [7] "Component 7: Mean relative difference: 0.0002101599"
    < [8] "Component 8: Mean relative difference: 0.0001300581"
    ---
    > [7] "Component 7: Mean relative difference: 0.0002101602"
    > [8] "Component 8: Mean relative difference: 0.0001300577"
    1610c1610
    < [10] "Component 10: Mean relative difference: 0.0001675279"
    ---
    > [10] "Component 10: Mean relative difference: 0.0001675276"
    1612c1612
    < [12] "Component 12: Mean relative difference: 0.0001409385"
    ---
    > [12] "Component 12: Mean relative difference: 0.0001409384"
    1646c1646
    < [7] "Component 7: Mean relative difference: 0.004478869"
    ---
    > [7] "Component 7: Mean relative difference: 0.00447887"
    1726,1736c1726,1736
    < 1 9.750971e-01 -0.0030037419 -4.490045e-01 -0.2274334729 0.0068307491
    < 5 2.912560e-01 0.0387204655 -5.823824e-02 0.0274927902 -0.0755630123
    < 10 7.727994e-06 0.0001515648 5.378421e-05 -0.0001392449 0.0001042602
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.1589283484 3.934562e-01 -0.0556578457 -0.2434508197 -4.943764e-01
    < 5 0.0074691016 5.569606e-02 0.0923228781 -0.0208855068 -2.592568e-01
    < 10 0.0002038302 4.001443e-05 -0.0001168718 -0.0002202991 -2.262166e-05
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0188072205 0.2703772862
    < 5 -0.0398633552 0.0817117635
    < 10 -0.0001921894 -0.0002408483
    ---
    > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
    > 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927901 -0.0755630122
    > 10 7.727996e-06 0.0001515647 5.378418e-05 -0.0001392449 0.0001042601
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.1589283485 3.934913e-01 -0.0551360998 -0.2431539207 -4.943851e-01
    > 5 0.0074691017 5.559145e-02 0.0922666787 -0.0209438968 -2.593822e-01
    > 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002206918 -2.316957e-05
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0188374345 0.270328853
    > 5 -0.0399301204 0.081681433
    > 10 -0.0001923111 -0.000241325
    1741,1747c1741,1747
    < 1 -0.0030037419 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    < 5 0.0387204655 0.2564557 0.05195901 -0.032248624 -0.049598653 -0.03718387
    < 10 0.0001515648 0.2634495 0.01979479 -0.003199861 0.088988794 0.02585722
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0444330246 -0.36684216 0.03799588 -0.0186821878 -0.65396671 -0.05494133
    < 5 0.1118050960 -0.09067915 0.03553151 -0.1446017020 -0.08441451 0.05390893
    < 10 0.0008362211 -0.10892691 -0.03764964 -0.0004450966 -0.20174659 -0.04419214
    ---
    > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    > 5 0.0387204653 0.2564557 0.05195901 -0.032248624 -0.049598653 -0.03718387
    > 10 0.0001515647 0.2634495 0.01979479 -0.003199861 0.088988794 0.02585722
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.044427031 -0.3667550 0.03806791 -0.0186986576 -0.65426181 -0.05504100
    > 5 0.111593955 -0.0907331 0.03541485 -0.1448499710 -0.08451449 0.05376516
    > 10 0.001031063 -0.1089146 -0.03738140 -0.0002466476 -0.20173639 -0.04389582
    1754,1762c1754,1758
    < 10 5.378421e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 -0.0589636383 -0.077332712 0.47445939 0.1895970695 -0.147189140
    < 5 0.2073432488 -0.049990328 -0.08378468 -0.0716912623 -0.028694975
    < 10 0.0001822507 -0.005511273 -0.04783816 -0.0001834388 -0.009576436
    < d_y3_d_x4
    < 1 -0.37541111
    < 5 -0.06074796
    < 10 -0.09150022
    ---
    > 10 5.378418e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0589949274 -0.077701852 0.47423595 0.189627098 -0.146882467 -0.37513506
    > 5 0.2076679660 -0.049802098 -0.08350722 -0.071267404 -0.028543080 -0.06042803
    > 10 0.0002019259 -0.005508186 -0.04781628 -0.000167342 -0.009577636 -0.09148118
    1768c1764
    < 5 0.0274927902 -0.032248624 -0.104236832 0.380620095 -0.066218734
    ---
    > 5 0.0274927901 -0.032248624 -0.104236832 0.380620095 -0.066218734
    1771,1777c1767,1773
    < 1 -0.110923427 -0.1634667757 -0.065151707 0.034904205 0.1447213097
    < 5 -0.072756702 -0.3655195593 0.064906724 0.005048475 0.1637469270
    < 10 -0.006398513 -0.0007191321 0.002480034 0.004960128 0.0004011784
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.178378292 -0.030986400
    < 5 0.005673152 0.023601420
    < 10 0.004023507 0.005849075
    ---
    > 1 -0.110923427 -0.1634860393 -0.065417875 0.034736249 0.1447065273
    > 5 -0.072756702 -0.3656135275 0.064841504 0.004927934 0.1635478254
    > 10 -0.006398513 -0.0007135702 0.002481104 0.004964602 0.0004091202
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.178619507 -0.031123121
    > 5 0.005572462 0.023442576
    > 10 0.004025707 0.005855566
    1782,1784c1778,1780
    < 1 0.0068307491 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    < 5 -0.0755630123 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    < 10 0.0001042602 0.088988794 0.005243041 -0.003344902 0.1238768 0.03178731
    ---
    > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    > 5 -0.0755630122 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    > 10 0.0001042601 0.088988794 0.005243041 -0.003344902 0.1238768 0.03178731
    1786,1792c1782,1788
    < 1 0.0067501172 0.02475284 -0.007058550 -0.0016785929 -0.004835453
    < 5 -0.0056772945 -0.05100863 -0.002591656 0.0880529872 0.003603650
    < 10 0.0005625321 -0.06785855 -0.029868706 -0.0003094116 -0.124361793
    < d_y3_d_x4
    < 1 -0.006962440
    < 5 -0.003143731
    < 10 -0.034067600
    ---
    > 1 0.0067421558 0.02461029 -0.007100758 -0.001683054 -0.004915436
    > 5 -0.0055783709 -0.05095735 -0.002522731 0.088168991 0.003655392
    > 10 0.0006847522 -0.06785055 -0.029702141 -0.000182194 -0.124354974
    > d_y3_d_x4
    > 1 -0.006969484
    > 5 -0.003065135
    > 10 -0.033881256
    1797,1798c1793,1794
    < 1 0.1589283484 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    < 5 0.0074691016 -0.03718387 -0.01687398 -0.072756702 0.04028227 0.2915086
    ---
    > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    > 5 0.0074691017 -0.03718387 -0.01687398 -0.072756702 0.04028227 0.2915086
    1801,1803c1797,1799
    < 1 0.0122771214 0.03632940 -0.25939354 -0.0683871893 0.10550381 0.14903288
    < 5 -0.0690209207 0.01311381 -0.14267669 -0.0174594451 0.06325656 0.01117122
    < 10 0.0009044851 -0.01954560 -0.09173433 -0.0006911288 -0.02874382 -0.14045028
    ---
    > 1 0.012307140 0.03663825 -0.25915624 -0.0683888638 0.10552589 0.14901568
    > 5 -0.068977037 0.01307835 -0.14270346 -0.0175648413 0.06314878 0.01104703
    > 10 0.000936581 -0.01954074 -0.09169794 -0.0006430461 -0.02874204 -0.14039647
    1808,1818c1804,1814
    < 1 3.934562e-01 -0.0444330246 -0.0589636383 -0.1634667757 0.0067501172
    < 5 5.569606e-02 0.1118050960 0.2073432488 -0.3655195593 -0.0056772945
    < 10 4.001443e-05 0.0008362211 0.0001822507 -0.0007191321 0.0005625321
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0122771214 0.3041306030 -0.0156634027 -0.087121027 -0.2673472735
    < 5 -0.0690209207 0.8884504390 -0.1313314694 -0.084370604 -0.4887527789
    < 10 0.0009044851 0.0002092639 -0.0006078247 -0.001078286 -0.0001152284
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.088777616 0.0503046164
    < 5 -0.040726856 -0.0140699183
    < 10 -0.001080778 -0.0009396003
    ---
    > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
    > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
    > 10 3.956835e-05 0.001031063 0.0002019259 -0.0007135702 0.0006847522
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.012307140 0.3041791387 -0.0153415475 -0.086915250 -0.2673497162
    > 5 -0.068977037 0.8888133639 -0.1312317856 -0.084254369 -0.4883874931
    > 10 0.000936581 0.0002049371 -0.0007564279 -0.001119009 -0.0001167076
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.089085500 0.050521158
    > 5 -0.040612577 -0.013889723
    > 10 -0.001380156 -0.001070066
    1823,1829c1819,1825
    < 1 -0.0556578457 -0.36684216 -0.077332712 -0.065151707 0.02475284 0.03632940
    < 5 0.0923228781 -0.09067915 -0.049990328 0.064906724 -0.05100863 0.01311381
    < 10 -0.0001168718 -0.10892691 -0.005511273 0.002480034 -0.06785855 -0.01954560
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0156634027 0.53667627 0.02880999 0.0506692091 0.78907480 0.08281284
    < 5 -0.1313314694 0.36778548 0.02684524 -0.0435115192 0.04119832 -0.03025272
    < 10 -0.0006078247 0.08987412 0.02959053 0.0003748766 0.15669096 0.03382768
    ---
    > 1 -0.0551360998 -0.3667550 -0.077701852 -0.065417875 0.02461029 0.03663825
    > 5 0.0922666787 -0.0907331 -0.049802098 0.064841504 -0.05095735 0.01307835
    > 10 -0.0001169437 -0.1089146 -0.005508186 0.002481104 -0.06785055 -0.01954074
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0153415475 0.53571025 0.02858950 0.0502931362 0.78867418 0.08319167
    > 5 -0.1312317856 0.36770203 0.02688757 -0.0435083937 0.04107823 -0.03027008
    > 10 -0.0007564279 0.08985383 0.02939425 0.0002325527 0.15666266 0.03361876
    1834,1840c1830,1836
    < 1 -0.2434508197 0.03799588 0.47445939 0.034904205 -0.007058550 -0.25939354
    < 5 -0.0208855068 0.03553151 -0.08378468 0.005048475 -0.002591656 -0.14267669
    < 10 -0.0002202991 -0.03764964 -0.04783816 0.004960128 -0.029868706 -0.09173433
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.087121027 0.02880999 0.5429262 0.1175619568 -0.07875694 -0.18480719
    < 5 -0.084370604 0.02684524 0.4427864 0.0917584027 -0.09288769 0.03873331
    < 10 -0.001078286 0.02959053 0.1345045 0.0007150911 0.03940286 0.16915396
    ---
    > 1 -0.2431539207 0.03806791 0.47423595 0.034736249 -0.007100758 -0.25915624
    > 5 -0.0209438968 0.03541485 -0.08350722 0.004927934 -0.002522731 -0.14270346
    > 10 -0.0002206918 -0.03738140 -0.04781628 0.004964602 -0.029702141 -0.09169794
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.086915250 0.02858950 0.5430830 0.1173791359 -0.07875333 -0.18429040
    > 5 -0.084254369 0.02688757 0.4427421 0.0917414656 -0.09290091 0.03875653
    > 10 -0.001119009 0.02939425 0.1344230 0.0006774422 0.03900411 0.16897835
    1845,1855c1841,1851
    < 1 -4.943764e-01 -0.0186821878 0.1895970695 0.1447213097 -0.0016785929
    < 5 -2.592568e-01 -0.1446017020 -0.0716912623 0.1637469270 0.0880529872
    < 10 -2.262166e-05 -0.0004450966 -0.0001834388 0.0004011784 -0.0003094116
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.0683871893 -0.2673472735 0.0506692091 0.1175619568 3.484754e-01
    < 5 -0.0174594451 -0.4887527789 -0.0435115192 0.0917584027 6.535652e-01
    < 10 -0.0006911288 -0.0001152284 0.0003748766 0.0007150911 7.066597e-05
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0237560263 -0.1867324477
    < 5 0.0431834266 -0.1426780324
    < 10 0.0004804019 0.0009246976
    ---
    > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
    > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
    > 10 -2.316957e-05 -0.0002466476 -0.000167342 0.0004091202 -0.000182194
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.0683888638 -0.2673497162 0.0502931362 0.1173791359 3.484787e-01
    > 5 -0.0175648413 -0.4883874931 -0.0435083937 0.0917414656 6.538214e-01
    > 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006774422 7.263175e-05
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.0237422937 -0.1867641107
    > 5 0.0431861770 -0.1430103473
    > 10 0.0002043577 0.0007809695
    1860,1866c1856,1862
    < 1 -0.0188072205 -0.65396671 -0.147189140 -0.178378292 -0.004835453 0.10550381
    < 5 -0.0398633552 -0.08441451 -0.028694975 0.005673152 0.003603650 0.06325656
    < 10 -0.0001921894 -0.20174659 -0.009576436 0.004023507 -0.124361793 -0.02874382
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.088777616 0.78907480 -0.07875694 0.0237560263 1.4544573 0.13444567
    < 5 -0.040726856 0.04119832 -0.09288769 0.0431834266 0.2498002 -0.04497601
    < 10 -0.001080778 0.15669096 0.03940286 0.0004804019 0.3032570 0.05127830
    ---
    > 1 -0.0188374345 -0.65426181 -0.146882467 -0.178619507 -0.004915436 0.10552589
    > 5 -0.0399301204 -0.08451449 -0.028543080 0.005572462 0.003655392 0.06314878
    > 10 -0.0001923111 -0.20173639 -0.009577636 0.004025707 -0.124354974 -0.02874204
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.089085500 0.78867418 -0.07875333 0.0237422937 1.4556119 0.13436032
    > 5 -0.040612577 0.04107823 -0.09290091 0.0431861770 0.2495913 -0.04532905
    > 10 -0.001380156 0.15666266 0.03900411 0.0002043577 0.3032282 0.05086440
    1871,1877c1867,1873
    < 1 0.2703772862 -0.05494133 -0.37541111 -0.030986400 -0.006962440 0.14903288
    < 5 0.0817117635 0.05390893 -0.06074796 0.023601420 -0.003143731 0.01117122
    < 10 -0.0002408483 -0.04419214 -0.09150022 0.005849075 -0.034067600 -0.14045028
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.0503046164 0.08281284 -0.18480719 -0.1867324477 0.13444567 0.4430295
    < 5 -0.0140699183 -0.03025272 0.03873331 -0.1426780324 -0.04497601 0.2298604
    < 10 -0.0009396003 0.03382768 0.16915396 0.0009246976 0.05127830 0.2860146
    ---
    > 1 0.270328853 -0.05504100 -0.37513506 -0.031123121 -0.006969484 0.14901568
    > 5 0.081681433 0.05376516 -0.06042803 0.023442576 -0.003065135 0.01104703
    > 10 -0.000241325 -0.04389582 -0.09148118 0.005855566 -0.033881256 -0.14039647
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.050521158 0.08319167 -0.18429040 -0.1867641107 0.13436032 0.4426038
    > 5 -0.013889723 -0.03027008 0.03875653 -0.1430103473 -0.04532905 0.2294027
    > 10 -0.001070066 0.03361876 0.16897835 0.0007809695 0.05086440 0.2857090
    1881c1877
    < d_y1_d_x1 0.975097137 -0.003003742 -0.449004490 -0.22743347 0.006830749
    ---
    > d_y1_d_x1 0.975097136 -0.003003742 -0.449004490 -0.22743347 0.006830749
    1887,1918c1883,1914
    < d_y1_d_x3 0.393456237 -0.044433025 -0.058963638 -0.16346678 0.006750117
    < d_y2_d_x3 -0.055657846 -0.366842157 -0.077332712 -0.06515171 0.024752841
    < d_y3_d_x3 -0.243450820 0.037995885 0.474459394 0.03490420 -0.007058550
    < d_y1_d_x4 -0.494376399 -0.018682188 0.189597069 0.14472131 -0.001678593
    < d_y2_d_x4 -0.018807221 -0.653966709 -0.147189140 -0.17837829 -0.004835453
    < d_y3_d_x4 0.270377286 -0.054941331 -0.375411112 -0.03098640 -0.006962440
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 0.15892835 0.393456237 -0.05565785 -0.24345082 -0.494376399
    < d_y2_d_x1 -0.05181404 -0.044433025 -0.36684216 0.03799588 -0.018682188
    < d_y3_d_x1 -0.38941393 -0.058963638 -0.07733271 0.47445939 0.189597069
    < d_y1_d_x2 -0.11092343 -0.163466776 -0.06515171 0.03490420 0.144721310
    < d_y2_d_x2 0.04231634 0.006750117 0.02475284 -0.00705855 -0.001678593
    < d_y3_d_x2 0.38993460 0.012277121 0.03632940 -0.25939354 -0.068387189
    < d_y1_d_x3 0.01227712 0.304130603 -0.01566340 -0.08712103 -0.267347274
    < d_y2_d_x3 0.03632940 -0.015663403 0.53667627 0.02880999 0.050669209
    < d_y3_d_x3 -0.25939354 -0.087121027 0.02880999 0.54292617 0.117561957
    < d_y1_d_x4 -0.06838719 -0.267347274 0.05066921 0.11756196 0.348475418
    < d_y2_d_x4 0.10550381 0.088777616 0.78907480 -0.07875694 0.023756026
    < d_y3_d_x4 0.14903288 0.050304616 0.08281284 -0.18480719 -0.186732448
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.018807221 0.27037729
    < d_y2_d_x1 -0.653966709 -0.05494133
    < d_y3_d_x1 -0.147189140 -0.37541111
    < d_y1_d_x2 -0.178378292 -0.03098640
    < d_y2_d_x2 -0.004835453 -0.00696244
    < d_y3_d_x2 0.105503809 0.14903288
    < d_y1_d_x3 0.088777616 0.05030462
    < d_y2_d_x3 0.789074800 0.08281284
    < d_y3_d_x3 -0.078756940 -0.18480719
    < d_y1_d_x4 0.023756026 -0.18673245
    < d_y2_d_x4 1.454457331 0.13444567
    < d_y3_d_x4 0.134445673 0.44302949
    ---
    > d_y1_d_x3 0.393491346 -0.044427031 -0.058994927 -0.16348604 0.006742156
    > d_y2_d_x3 -0.055136100 -0.366754971 -0.077701852 -0.06541787 0.024610287
    > d_y3_d_x3 -0.243153921 0.038067907 0.474235951 0.03473625 -0.007100758
    > d_y1_d_x4 -0.494385125 -0.018698658 0.189627098 0.14470653 -0.001683054
    > d_y2_d_x4 -0.018837435 -0.654261807 -0.146882467 -0.17861951 -0.004915436
    > d_y3_d_x4 0.270328853 -0.055040997 -0.375135057 -0.03112312 -0.006969484
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 0.15892835 0.393491346 -0.05513610 -0.243153921 -0.494385125
    > d_y2_d_x1 -0.05181404 -0.044427031 -0.36675497 0.038067907 -0.018698658
    > d_y3_d_x1 -0.38941393 -0.058994927 -0.07770185 0.474235951 0.189627098
    > d_y1_d_x2 -0.11092343 -0.163486039 -0.06541787 0.034736249 0.144706527
    > d_y2_d_x2 0.04231634 0.006742156 0.02461029 -0.007100758 -0.001683054
    > d_y3_d_x2 0.38993460 0.012307140 0.03663825 -0.259156241 -0.068388864
    > d_y1_d_x3 0.01230714 0.304179139 -0.01534155 -0.086915250 -0.267349716
    > d_y2_d_x3 0.03663825 -0.015341548 0.53571025 0.028589501 0.050293136
    > d_y3_d_x3 -0.25915624 -0.086915250 0.02858950 0.543083030 0.117379136
    > d_y1_d_x4 -0.06838886 -0.267349716 0.05029314 0.117379136 0.348478747
    > d_y2_d_x4 0.10552589 0.089085500 0.78867418 -0.078753327 0.023742294
    > d_y3_d_x4 0.14901568 0.050521158 0.08319167 -0.184290399 -0.186764111
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.018837435 0.270328853
    > d_y2_d_x1 -0.654261807 -0.055040997
    > d_y3_d_x1 -0.146882467 -0.375135057
    > d_y1_d_x2 -0.178619507 -0.031123121
    > d_y2_d_x2 -0.004915436 -0.006969484
    > d_y3_d_x2 0.105525894 0.149015681
    > d_y1_d_x3 0.089085500 0.050521158
    > d_y2_d_x3 0.788674183 0.083191666
    > d_y3_d_x3 -0.078753327 -0.184290399
    > d_y1_d_x4 0.023742294 -0.186764111
    > d_y2_d_x4 1.455611865 0.134360316
    > d_y3_d_x4 0.134360316 0.442603753
    1923,1924c1919,1920
    < 1 0.2844103082 0.0365935260 0.0780064051 -0.22745182 0.019380780
    < 5 -0.1562244502 -0.0003601467 -0.0126554976 0.17568006 -0.017225469
    ---
    > 1 0.2844103081 0.0365935258 0.0780064050 -0.22745182 0.019380780
    > 5 -0.1562244504 -0.0003601467 -0.0126554978 0.17568006 -0.017225469
    1927,1929c1923,1925
    < 1 -0.02311634 0.278661816 -0.068156591 0.013655743 -0.233296715 -6.941114e-02
    < 5 -0.04385058 -0.365474317 0.050304205 0.088007379 0.241984210 -1.532108e-02
    < 10 -0.01341462 -0.004418688 0.001335043 0.004152234 0.002220446 -3.330669e-05
    ---
    > 1 -0.02311634 0.278693735 -0.067768013 0.013911094 -0.23325786 -6.892265e-02
    > 5 -0.04385058 -0.365474317 0.050365268 0.088007379 0.24198421 -1.525446e-02
    > 10 -0.01341462 -0.004107825 0.001389167 0.004463097 0.00204281 -3.885781e-05
    1931c1927
    < 1 -0.0043520743
    ---
    > 1 -0.0040412118
    1933c1929
    < 10 -0.0007993606
    ---
    > 10 -0.0009769963
    1942,1944c1938,1940
    < 1 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    < 5 -0.3654743 0.05030421 0.08816281 0.2419842 -0.01532108 -0.0154099
    < 10 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    ---
    > 1 0.0000000 0.00000000 0.00000000 0.000000 0.00000000 0.00000000
    > 5 -0.3656297 0.05028755 0.08800738 0.242073 -0.01521006 -0.01532108
    > 10 0.0000000 0.00000000 0.00000000 0.000000 0.00000000 0.00000000
    1949c1945
    < 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2787395
    ---
    > 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2787715
    1953c1949
    < 1 -0.06815659 0.01350031 -0.2333411 -0.06941114 -0.004263256
    ---
    > 1 -0.06776801 0.01375566 -0.2333023 -0.06892265 -0.003952394
    1961,1962c1957,1958
    < 5 0.097646416 0.0002251057 0.0079101826 -0.10980693 0.010766595
    < 10 -0.001022056 0.0002923537 0.0009913603 0.02183595 -0.005853647
    ---
    > 5 0.097646416 0.0002251057 0.0079101828 -0.10980693 0.010766595
    > 10 -0.001022055 0.0002923537 0.0009913604 0.02183595 -0.005853647
    1964,1970c1960,1966
    < 1 0.02468417 -0.149797133 0.017542586 -0.173349731 0.249100740
    < 5 0.02740834 0.484581982 -0.074613292 -0.138862552 -0.151745283
    < 10 -0.01681944 -0.004620701 0.001535543 0.004762355 0.003463896
    < d_y2_d_x4 d_y3_d_x4
    < 1 7.318590e-02 0.0039079850
    < 5 9.281464e-03 0.0089706020
    < 10 -5.551115e-06 -0.0004440892
    ---
    > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
    > 5 0.02740834 0.484715209 -0.074546679 -0.138729325 -0.151567647
    > 10 -0.01681944 -0.004587394 0.001521665 0.004795661 0.003241851
    > d_y2_d_x4 d_y3_d_x4
    > 1 7.305268e-02 0.0038191672
    > 5 9.370282e-03 0.0091482377
    > 10 -1.665335e-05 -0.0006661338
    1977c1973
    < 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626134 0.001776293
    ---
    > 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626135 0.001776293
    1979,1985c1975,1981
    < 1 -0.009858291 0.118978438 -0.0287436741 0.005928591 0.0483693499
    < 5 -0.036026809 -0.300959258 0.0412836432 0.072242212 0.4554608315
    < 10 0.005103872 0.001665335 -0.0005467848 -0.001576517 0.0003753026
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0846423414 -0.1596717828
    < 5 -0.0554175360 -0.0955860585
    < 10 -0.0002061194 0.0003436669
    ---
    > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
    > 5 -0.036026809 -0.30095926 0.0412836432 0.072242212 4.554608e-01
    > 10 0.005103872 0.00184297 -0.0005273559 -0.001398881 2.003137e-05
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0845979325 -1.595830e-01
    > 5 -0.0554175360 -9.558606e-02
    > 10 -0.0002172217 -1.160433e-05
    1991,1996c1987,1996
    < 5 0.0329540421 0.1411774 0.009013214 -0.014887909 -0.04799001 -0.004653031
    < 10 0.0001596095 0.2197046 0.006612413 -0.003257077 0.13273560 0.012840268
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0425923186 0.35195180 0.031297187 0.0129063427 0.32849279 0.02962075
    < 5 0.0468292072 -0.07964185 -0.002431388 -0.0521360732 -0.08177903 0.00945910
    < 10 0.0005662137 -0.22632729 -0.018451907 -0.0009325873 -0.30196956 -0.01838529
    ---
    > 5 0.0329540419 0.1411774 0.009013214 -0.014887909 -0.04799001 -0.004653031
    > 10 0.0001596092 0.2197046 0.006612413 -0.003257078 0.13273560 0.012840268
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 -0.0426436664 0.35113024 0.030886405 0.0128785871 0.32804870
    > 5 0.0463296068 -0.07983059 -0.002808864 -0.0527133892 -0.08200107
    > 10 0.0007993606 -0.22631341 -0.018218760 -0.0007105427 -0.30195846
    > d_y3_d_x4
    > 1 0.029398706
    > 5 0.009015011
    > 10 -0.018163249
    2005,2007c2005,2007
    < 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    < 5 0.04667378 -0.07971956 -0.002553513 -0.05204726 -0.08173462 0.009325873
    < 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    ---
    > 1 0.0000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    > 5 0.0462963 -0.07984724 -0.002808864 -0.05249134 -0.08189005 0.009015011
    > 10 0.0000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    2016,2018c2016,2018
    < 1 -0.04259232 0.3519518 0.03129719 0.01290634 0.3284928 0.02962075
    < 5 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
    < 10 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
    ---
    > 1 -0.04264367 0.3511302 0.0308864 0.01287859 0.3280487 0.02939871
    > 5 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
    > 10 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
    2024,2025c2024,2025
    < 5 -0.0205975704 -0.0882414 -0.005633613 0.009305528 0.02999564 0.002908327
    < 10 0.0002001206 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
    ---
    > 5 -0.0205975703 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
    > 10 0.0002001207 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
    2027,2029c2027,2029
    < 1 0.029348097 -0.1183296 -0.006303941 -0.0136890499 -0.34976466 -0.031041836
    < 5 -0.071052622 0.4504336 0.038642514 0.0316635607 0.05080381 -0.006705747
    < 10 0.001471807 -0.1566143 -0.006827238 -0.0002220446 -0.37874148 -0.023181457
    ---
    > 1 0.029296749 -0.1191511 -0.006581496 -0.0137168055 -0.35020875 -0.031086245
    > 5 -0.071041520 0.4504392 0.038775741 0.0317079696 0.05082601 -0.006528111
    > 10 0.001849283 -0.1565991 -0.006183308 0.0002220446 -0.37872483 -0.022382096
    2035,2036c2035,2036
    < 5 2.707442e-02 0.11598866 0.007405086 -0.012231624 -0.03942768 -0.003822843
    < 10 -6.072676e-05 -0.08359122 -0.002515832 0.001239224 -0.05050205 -0.004885350
    ---
    > 5 2.707442e-02 0.11598866 0.007405086 -0.012231624 -0.03942768 -0.003822842
    > 10 -6.072676e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205 -0.004885350
    2038,2040c2038,2040
    < 1 -0.0181674120 0.15011326 0.013367085 -0.0107337295 0.3959257 0.03876001
    < 5 0.0390354415 -0.06519785 -0.001976197 -0.0841199471 0.3334383 0.04493748
    < 10 -0.0003996803 0.08609502 0.007061018 -0.0003378564 0.2420501 0.02250485
    ---
    > 1 -0.0182381887 0.14911405 0.012800871 -0.0107503829 0.3958369 0.03862679
    > 5 0.0387800903 -0.06539214 -0.002231548 -0.0844308096 0.3331941 0.04462662
    > 10 -0.0006883383 0.08605894 0.006772360 -0.0004266743 0.2420390 0.02241604
    2046,2047c2046,2047
    < 5 0.0092022347 0.01949003 0.1833577 -0.062146477 0.007141050 0.02361125
    < 10 0.0001787656 0.01146679 0.1239592 -0.004659593 0.009654283 0.15087598
    ---
    > 5 0.0092022346 0.01949003 0.1833577 -0.062146477 0.007141051 0.02361125
    > 10 0.0001787653 0.01146679 0.1239592 -0.004659593 0.009654283 0.15087598
    2049,2051c2049,2051
    < 1 -0.079707074 0.03271827 -0.01521006 0.08333889 0.02002842 -0.03419487
    < 5 0.116806564 -0.02712830 -0.10127454 -0.03974598 -0.02005063 -0.14113155
    < 10 0.001332268 -0.01007250 -0.23063773 0.00000000 -0.01213474 -0.24682478
    ---
    > 1 -0.079640461 0.03338441 -0.01467715 0.0833833003 0.02056133 -0.0338396
    > 5 0.117450494 -0.02679523 -0.10076384 -0.0389466237 -0.01978417 -0.1405098
    > 10 0.001176836 -0.01007111 -0.23079316 -0.0002664535 -0.01217360 -0.2470912
    2056,2062c2056,2062
    < 1 -1.490547e-01 0.01435670 0.2632494 0.00000000 0.00000000 0.00000000
    < 5 -7.098635e-02 0.03269126 0.4007928 -0.06214648 0.00714105 0.02361125
    < 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.00000000 0.00000000
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.0000000 0.0000000 0.0000000 0.00000000 0.00000000 0.0000000
    < 5 0.1168066 -0.0271283 -0.1012745 -0.03974598 -0.02005063 -0.1411316
    < 10 0.0000000 0.0000000 0.0000000 0.00000000 0.00000000 0.0000000
    ---
    > 1 -1.490547e-01 0.01435670 0.2632494 0.00000000 0.000000000 0.00000000
    > 5 -7.098636e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.02361125
    > 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.00000000
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.0000000 0.00000000 0.000000 0.00000000 0.00000000 0.0000000
    > 5 0.1173284 -0.02685629 -0.100886 -0.03907985 -0.01985079 -0.1406431
    > 10 0.0000000 0.00000000 0.000000 0.00000000 0.00000000 0.0000000
    2071,2073c2071,2073
    < 1 -0.07970707 0.03271827 -0.01521006 0.08333889 0.02002842 -0.03419487
    < 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    < 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    ---
    > 1 -0.07964046 0.03338441 -0.01467715 0.0833833 0.02056133 -0.0338396
    > 5 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    > 10 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    2079c2079
    < 5 -0.0057517578 -0.01218203 -0.1146057 0.038843988 -0.004463437 -0.01475796
    ---
    > 5 -0.0057517577 -0.01218203 -0.1146057 0.038843988 -0.004463437 -0.01475796
    2082,2084c2082,2084
    < 1 0.0396353549 -0.005551447 0.4481223 -0.089117602 -0.02318146 0.03570477
    < 5 -0.1431397494 0.050005190 0.4643419 0.025446312 0.01276756 0.08828493
    < 10 0.0002593743 -0.009201082 -0.1030940 -0.001065814 -0.01531553 -0.31019631
    ---
    > 1 0.0396520083 -0.005284993 0.4483888 -0.0890953977 -0.02282619 0.03606004
    > 5 -0.1431397494 0.050005190 0.4643419 0.0254463117 0.01276756 0.08828493
    > 10 0.0003926011 -0.009184429 -0.1029607 -0.0008881784 -0.01529332 -0.31001868
    2093,2095c2093,2095
    < 1 -3.390621e-02 0.015054624 -0.005817569 -0.0097168340 0.041011307 0.4192121
    < 5 9.493517e-02 -0.022748470 -0.083666407 -0.1051368153 0.015416192 0.2839085
    < 10 5.551115e-05 0.003856637 0.088495877 0.0007478725 0.008144765 0.2818981
    ---
    > 1 -0.0338507000 0.015776269 -0.005373479 -0.009716834 0.041055716 0.4192121
    > 5 0.0949684775 -0.022731816 -0.083633100 -0.105358860 0.015305170 0.2836864
    > 10 -0.0002109424 0.003856637 0.088229424 0.000392601 0.008144765 0.2815428
    2101,2102c2101,2102
    < 5 -0.389154438 -0.1346716769 0.006126323 -0.02640070 0.200346660 0.03805750
    < 10 -0.002199324 -0.0001412115 0.001882921 0.03400172 0.006272141 -0.02126043
    ---
    > 5 -0.389154438 -0.1346716768 0.006126323 -0.02640070 0.200346660 0.03805750
    > 10 -0.002199324 -0.0001412116 0.001882921 0.03400172 0.006272141 -0.02126043
    2104,2106c2104,2106
    < 1 0.18775259 0.456878979 -0.036692871 -0.002164935 9.624301e-01 0.01842970
    < 5 -0.13624657 -0.301664249 -0.033173464 0.512656584 1.145972e-01 -0.07016610
    < 10 -0.01154632 -0.001067202 0.008870682 0.006750156 -5.551115e-06 -0.00288658
    ---
    > 1 0.18776647 0.457101024 -0.036581849 -0.002109424 9.633183e-01 0.018873791
    > 5 -0.13611334 -0.301597636 -0.033173464 0.512834220 1.146860e-01 -0.070166095
    > 10 -0.01127987 -0.001033895 0.009137135 0.007105427 3.885781e-05 -0.002531308
    2111,2113c2111,2113
    < 1 0.6779988895 -0.0439634710 -0.7518035113 -0.15287721 0.012866382
    < 5 0.1100880664 -0.0272114693 -0.1341660790 0.25360526 0.002158135
    < 10 -0.0008353509 0.0001322237 -0.0007461052 0.02054856 -0.003285345
    ---
    > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
    > 5 0.1100880665 -0.0272114692 -0.1341660789 0.25360526 0.002158135
    > 10 -0.0008353512 0.0001322236 -0.0007461053 0.02054856 -0.003285345
    2115,2121c2115,2121
    < 1 0.39436273 0.215598372 0.0112576615 -0.516908738 -0.389005494 0.0897948382
    < 5 0.25411486 -0.444266846 0.0165201186 -0.312028181 -0.033395509 0.0420996571
    < 10 0.01486094 -0.004696243 0.0008965051 -0.003830269 0.001465494 0.0002109424
    < d_y3_d_x4
    < 1 0.452304860
    < 5 0.175814918
    < 10 0.001376677
    ---
    > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903 0.0893507490
    > 5 0.25411486 -0.444211334 0.0164201985 -0.312128101 -0.033884007 0.0416999768
    > 10 0.01486094 -0.004884981 0.0008895662 -0.004019007 0.001776357 0.0002720046
    > d_y3_d_x4
    > 1 0.451949589
    > 5 0.175415238
    > 10 0.001687539
    2127,2128c2127,2128
    < 5 0.0509223602 0.1790779 0.041843223 -0.03551199 0.05245643 -0.1427688
    < 10 0.0004814613 0.1066395 -0.004474384 -0.01049811 0.08873839 0.1265591
    ---
    > 5 0.0509223599 0.1790779 0.041843222 -0.03551199 0.05245643 -0.1427688
    > 10 0.0004814612 0.1066395 -0.004474384 -0.01049811 0.08873839 0.1265591
    2130,2132c2130,2132
    < 1 -0.101030295 0.17524870 0.2011058 0.036282088 0.006084022 0.1702638
    < 5 0.110644827 -0.19962365 0.2442713 -0.116973098 -0.320832250 0.2320810
    < 10 0.002398082 -0.08063689 -0.2495559 -0.001776357 -0.097927222 -0.2191136
    ---
    > 1 -0.101010866 0.17555957 0.2012612 0.036270986 0.005906386 0.1701750
    > 5 0.110778053 -0.19941826 0.2445377 -0.116795462 -0.320721227 0.2324363
    > 10 0.002531308 -0.08062023 -0.2494227 -0.001598721 -0.097905017 -0.2189360
    2142,2147c2142,2147
    < d_y1_d_x3 0.278661816 0.00000000 0.278739531 -0.149797133 0.118978438
    < d_y2_d_x3 -0.068156591 0.00000000 -0.068156591 0.017542586 -0.028743674
    < d_y3_d_x3 0.013655743 0.00000000 0.013500312 -0.173349731 0.005928591
    < d_y1_d_x4 -0.233296715 0.00000000 -0.233341124 0.249100740 0.048369350
    < d_y2_d_x4 -0.069411143 0.00000000 -0.069411143 0.073185902 -0.084642341
    < d_y3_d_x4 -0.004352074 0.00000000 -0.004263256 0.003907985 -0.159671783
    ---
    > d_y1_d_x3 0.278693735 0.00000000 0.278771450 -0.149844318 0.118992316
    > d_y2_d_x3 -0.067768013 0.00000000 -0.067768013 0.016887554 -0.028643754
    > d_y3_d_x3 0.013911094 0.00000000 0.013755663 -0.173727207 0.006039613
    > d_y1_d_x4 -0.233257857 0.00000000 -0.233302266 0.249089638 0.048380452
    > d_y2_d_x4 -0.068922645 0.00000000 -0.068922645 0.073052675 -0.084597932
    > d_y3_d_x4 -0.004041212 0.00000000 -0.003952394 0.003819167 -0.159582965
    2150c2150
    < d_y2_d_x1 -0.153375873 0.102528544 -0.153375873 0.163778394 -0.065409323
    ---
    > d_y2_d_x1 -0.153375874 0.102528544 -0.153375874 0.163778394 -0.065409323
    2155,2160c2155,2160
    < d_y1_d_x3 -0.042592319 0.000000000 -0.042592319 0.029348097 -0.018167412
    < d_y2_d_x3 0.351951801 0.000000000 0.351951801 -0.118329560 0.150113255
    < d_y3_d_x3 0.031297187 0.000000000 0.031297187 -0.006303941 0.013367085
    < d_y1_d_x4 0.012906343 0.000000000 0.012906343 -0.013689050 -0.010733730
    < d_y2_d_x4 0.328492789 0.000000000 0.328492789 -0.349764662 0.395925745
    < d_y3_d_x4 0.029620750 0.000000000 0.029620750 -0.031041836 0.038760012
    ---
    > d_y1_d_x3 -0.042643666 0.000000000 -0.042643666 0.029296749 -0.018238189
    > d_y2_d_x3 0.351130236 0.000000000 0.351130236 -0.119151125 0.149114054
    > d_y3_d_x3 0.030886405 0.000000000 0.030886405 -0.006581496 0.012800871
    > d_y1_d_x4 0.012878587 0.000000000 0.012878587 -0.013716805 -0.010750383
    > d_y2_d_x4 0.328048699 0.000000000 0.328048699 -0.350208751 0.395836928
    > d_y3_d_x4 0.029398706 0.000000000 0.029398706 -0.031086245 0.038626785
    2167,2173c2167,2173
    < d_y3_d_x2 0.031774889 0.0000000 0.43253479 -0.033929980 0.013550853
    < d_y1_d_x3 -0.079707074 0.0000000 -0.07970707 0.039635355 -0.033906211
    < d_y2_d_x3 0.032718273 0.0000000 0.03271827 -0.005551447 0.015054624
    < d_y3_d_x3 -0.015210055 0.0000000 -0.01521006 0.448122326 -0.005817569
    < d_y1_d_x4 0.083338891 0.0000000 0.08333889 -0.089117602 -0.009716834
    < d_y2_d_x4 0.020028423 0.0000000 0.02002842 -0.023181457 0.041011307
    < d_y3_d_x4 -0.034194869 0.0000000 -0.03419487 0.035704772 0.419212118
    ---
    > d_y3_d_x2 0.031774889 0.0000000 0.43253479 -0.033929980 0.013550854
    > d_y1_d_x3 -0.079640461 0.0000000 -0.07964046 0.039652008 -0.033850700
    > d_y2_d_x3 0.033384406 0.0000000 0.03338441 -0.005284993 0.015776269
    > d_y3_d_x3 -0.014677148 0.0000000 -0.01467715 0.448388779 -0.005373479
    > d_y1_d_x4 0.083383300 0.0000000 0.08338330 -0.089095398 -0.009716834
    > d_y2_d_x4 0.020561330 0.0000000 0.02056133 -0.022826185 0.041055716
    > d_y3_d_x4 -0.033839598 0.0000000 -0.03383960 0.036060044 0.419212118
    2181,2186c2181,2186
    < d_y1_d_x3 0.187752591 0.21559837 -0.101030295
    < d_y2_d_x3 0.456878979 0.01125766 0.175248704
    < d_y3_d_x3 -0.036692871 -0.51690874 0.201105799
    < d_y1_d_x4 -0.002164935 -0.38900549 0.036282088
    < d_y2_d_x4 0.962430136 0.08979484 0.006084022
    < d_y3_d_x4 0.018429702 0.45230486 0.170263803
    ---
    > d_y1_d_x3 0.187766469 0.21562058 -0.101010866
    > d_y2_d_x3 0.457101024 0.01159073 0.175559567
    > d_y3_d_x3 -0.036581849 -0.51673110 0.201261230
    > d_y1_d_x4 -0.002109424 -0.38904990 0.036270986
    > d_y2_d_x4 0.963318314 0.08935075 0.005906386
    > d_y3_d_x4 0.018873791 0.45194959 0.170174985
    2195,2200c2195,2200
    < 1: d_y1_d_x3 0.1765116 0.5514804 0.320 0.749
    < 1: d_y2_d_x3 -0.3517929 0.7325819 -0.480 0.631
    < 1: d_y3_d_x3 0.2229842 0.7368352 0.303 0.762
    < 1: d_y1_d_x4 -0.1468375 0.5903181 -0.249 0.804
    < 1: d_y2_d_x4 -0.3287218 1.2060088 -0.273 0.785
    < 1: d_y3_d_x4 0.6037347 0.6656046 0.907 0.364
    ---
    > 1: d_y1_d_x3 0.1765116 0.5515244 0.320 0.749
    > 1: d_y2_d_x3 -0.3517929 0.7319223 -0.481 0.631
    > 1: d_y3_d_x3 0.2229842 0.7369417 0.303 0.762
    > 1: d_y1_d_x4 -0.1468375 0.5903209 -0.249 0.804
    > 1: d_y2_d_x4 -0.3287218 1.2064874 -0.272 0.785
    > 1: d_y3_d_x4 0.6037347 0.6652847 0.907 0.364
    2207,2212c2207,2212
    < 2: d_y1_d_x3 0.3298530 0.9425765 0.350 0.726
    < 2: d_y2_d_x3 -0.5053126 0.6064532 -0.833 0.405
    < 2: d_y3_d_x3 0.2791236 0.6654220 0.419 0.675
    < 2: d_y1_d_x4 -0.2238688 0.8084338 -0.277 0.782
    < 2: d_y2_d_x4 -0.5675504 0.4998001 -1.136 0.256
    < 2: d_y3_d_x4 0.4883268 0.4794376 1.019 0.308
    ---
    > 2: d_y1_d_x3 0.3298530 0.9427690 0.350 0.726
    > 2: d_y2_d_x3 -0.5053126 0.6063844 -0.833 0.405
    > 2: d_y3_d_x3 0.2791236 0.6653886 0.419 0.675
    > 2: d_y1_d_x4 -0.2238688 0.8085922 -0.277 0.782
    > 2: d_y2_d_x4 -0.5675504 0.4995911 -1.136 0.256
    > 2: d_y3_d_x4 0.4883268 0.4789600 1.020 0.308
    2219,2224c2219,2224
    < 3: d_y1_d_x3 0.0011362 0.0144660 0.079 0.937
    < 3: d_y2_d_x3 -0.1491872 0.2997901 -0.498 0.619
    < 3: d_y3_d_x3 0.1853440 0.3667486 0.505 0.613
    < 3: d_y1_d_x4 -0.0006208 0.0084063 -0.074 0.941
    < 3: d_y2_d_x4 -0.1992018 0.5506877 -0.362 0.718
    < 3: d_y3_d_x4 0.1994459 0.5348033 0.373 0.709
    ---
    > 3: d_y1_d_x3 0.0011362 0.0143156 0.079 0.937
    > 3: d_y2_d_x3 -0.1491872 0.2997563 -0.498 0.619
    > 3: d_y3_d_x3 0.1853440 0.3666375 0.506 0.613
    > 3: d_y1_d_x4 -0.0006208 0.0085224 -0.073 0.942
    > 3: d_y2_d_x4 -0.1992018 0.5506616 -0.362 0.718
    > 3: d_y3_d_x4 0.1994459 0.5345175 0.373 0.709
    2250,2252c2250,2252
    < 1 0.176511552 -0.3517929 0.2229842 -0.1468374649 -0.3287218 0.6037347
    < 2 0.329853049 -0.5053126 0.2791236 -0.2238687971 -0.5675504 0.4883268
    < 3 0.001136227 -0.1491872 0.1853440 -0.0006208181 -0.1992018 0.1994459
    ---
    > 1 0.176511552 -0.3517929 0.2229842 -0.1468374650 -0.3287218 0.6037347
    > 2 0.329853048 -0.5053126 0.2791236 -0.2238687970 -0.5675504 0.4883268
    > 3 0.001136227 -0.1491872 0.1853440 -0.0006208183 -0.1992018 0.1994459
    2261,2274c2261,2274
    < 1 9.750971e-01 -0.0030037419 -4.490045e-01 -0.2274334729 0.0068307491
    < 5 2.912560e-01 0.0387204655 -5.823824e-02 0.0274927902 -0.0755630123
    < 10 7.727994e-06 0.0001515648 5.378421e-05 -0.0001392449 0.0001042602
    < mean 1.626491e-01 0.0104253264 -1.058717e-01 0.0523851888 -0.0162192448
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.1589283484 3.934562e-01 -0.0556578457 -0.2434508197 -4.943764e-01
    < 5 0.0074691016 5.569606e-02 0.0923228781 -0.0208855068 -2.592568e-01
    < 10 0.0002038302 4.001443e-05 -0.0001168718 -0.0002202991 -2.262166e-05
    < mean 0.0252988980 -5.394415e-02 -0.0001600977 -0.0383398284 -5.095389e-02
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0188072205 0.2703772862
    < 5 -0.0398633552 0.0817117635
    < 10 -0.0001921894 -0.0002408483
    < mean -0.0379050160 0.0584865705
    ---
    > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
    > 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927901 -0.0755630122
    > 10 7.727996e-06 0.0001515647 5.378418e-05 -0.0001392449 0.0001042601
    > mean 1.626491e-01 0.0104253263 -1.058717e-01 0.0523851888 -0.0162192448
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.1589283485 3.934913e-01 -0.0551360998 -0.2431539207 -4.943851e-01
    > 5 0.0074691017 5.559145e-02 0.0922666787 -0.0209438968 -2.593822e-01
    > 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002206918 -2.316957e-05
    > mean 0.0252988980 -5.399636e-02 -0.0001482806 -0.0383790235 -5.100716e-02
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0188374345 0.270328853
    > 5 -0.0399301204 0.081681433
    > 10 -0.0001923111 -0.000241325
    > mean -0.0379985139 0.058420857
    2279,2282c2279,2282
    < 1 -0.0030037419 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    < 5 0.0387204655 0.2564557 0.05195901 -0.032248624 -0.049598653 -0.03718387
    < 10 0.0001515648 0.2634495 0.01979479 -0.003199861 0.088988794 0.02585722
    < mean 0.0104253264 0.1517178 0.02393939 0.014984015 -0.020431173 -0.01708688
    ---
    > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    > 5 0.0387204653 0.2564557 0.05195901 -0.032248624 -0.049598653 -0.03718387
    > 10 0.0001515647 0.2634495 0.01979479 -0.003199861 0.088988794 0.02585722
    > mean 0.0104253263 0.1517178 0.02393939 0.014984015 -0.020431173 -0.01708688
    2284,2292c2284,2292
    < 1 -0.0444330246 -0.36684216 0.03799588 -0.0186821878 -0.65396671
    < 5 0.1118050960 -0.09067915 0.03553151 -0.1446017020 -0.08441451
    < 10 0.0008362211 -0.10892691 -0.03764964 -0.0004450966 -0.20174659
    < mean 0.0054742866 -0.02045729 0.01837922 -0.0416569892 -0.13131246
    < d_y3_d_x4
    < 1 -5.494133e-02
    < 5 5.390893e-02
    < 10 -4.419214e-02
    < mean 5.425835e-06
    ---
    > 1 -0.044427031 -0.36675497 0.03806791 -0.0186986576 -0.65426181
    > 5 0.111593955 -0.09073310 0.03541485 -0.1448499710 -0.08451449
    > 10 0.001031063 -0.10891460 -0.03738140 -0.0002466476 -0.20173639
    > mean 0.005435604 -0.02050368 0.01837385 -0.0417118839 -0.13140706
    > d_y3_d_x4
    > 1 -5.504100e-02
    > 5 5.376516e-02
    > 10 -4.389582e-02
    > mean -2.400034e-05
    2299c2299
    < 10 5.378421e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    ---
    > 10 5.378418e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    2302,2310c2302,2310
    < 1 -0.0589636383 -0.077332712 0.47445939 0.1895970695 -0.147189140
    < 5 0.2073432488 -0.049990328 -0.08378468 -0.0716912623 -0.028694975
    < 10 0.0001822507 -0.005511273 -0.04783816 -0.0001834388 -0.009576436
    < mean 0.0408136523 -0.007424308 0.08704492 0.0276224228 -0.021228994
    < d_y3_d_x4
    < 1 -0.37541111
    < 5 -0.06074796
    < 10 -0.09150022
    < mean -0.08600944
    ---
    > 1 -0.0589949274 -0.077701852 0.47423595 0.189627098 -0.146882467
    > 5 0.2076679660 -0.049802098 -0.08350722 -0.071267404 -0.028543080
    > 10 0.0002019259 -0.005508186 -0.04781628 -0.000167342 -0.009577636
    > mean 0.0408929985 -0.007395746 0.08712130 0.027720262 -0.021115011
    > d_y3_d_x4
    > 1 -0.37513506
    > 5 -0.06042803
    > 10 -0.09148118
    > mean -0.08589753
    2316c2316
    < 5 0.0274927902 -0.032248624 -0.104236832 0.380620095 -0.066218734
    ---
    > 5 0.0274927901 -0.032248624 -0.104236832 0.380620095 -0.066218734
    2320,2328c2320,2328
    < 1 -0.110923427 -0.1634667757 -0.065151707 0.034904205 0.1447213097
    < 5 -0.072756702 -0.3655195593 0.064906724 0.005048475 0.1637469270
    < 10 -0.006398513 -0.0007191321 0.002480034 0.004960128 0.0004011784
    < mean -0.039419377 0.0139134856 -0.012347264 -0.013084831 -0.0272388159
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.178378292 -0.030986400
    < 5 0.005673152 0.023601420
    < 10 0.004023507 0.005849075
    < mean -0.031254180 0.009428078
    ---
    > 1 -0.110923427 -0.1634860393 -0.065417875 0.034736249 0.1447065273
    > 5 -0.072756702 -0.3656135275 0.064841504 0.004927934 0.1635478254
    > 10 -0.006398513 -0.0007135702 0.002481104 0.004964602 0.0004091202
    > mean -0.039419377 0.0138966627 -0.012348059 -0.013100110 -0.0272599289
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.178619507 -0.031123121
    > 5 0.005572462 0.023442576
    > 10 0.004025707 0.005855566
    > mean -0.031269333 0.009408115
    2333,2335c2333,2335
    < 1 0.0068307491 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    < 5 -0.0755630123 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    < 10 0.0001042602 0.088988794 0.005243041 -0.003344902 0.1238768 0.03178731
    ---
    > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    > 5 -0.0755630122 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    > 10 0.0001042601 0.088988794 0.005243041 -0.003344902 0.1238768 0.03178731
    2338,2346c2338,2346
    < 1 0.0067501172 0.02475284 -0.007058550 -0.0016785929 -0.004835453
    < 5 -0.0056772945 -0.05100863 -0.002591656 0.0880529872 0.003603650
    < 10 0.0005625321 -0.06785855 -0.029868706 -0.0003094116 -0.124361793
    < mean -0.0097072439 0.04227370 0.004225202 0.0194175338 0.015380795
    < d_y3_d_x4
    < 1 -0.006962440
    < 5 -0.003143731
    < 10 -0.034067600
    < mean -0.001147291
    ---
    > 1 0.0067421558 0.02461029 -0.007100758 -0.001683054 -0.004915436
    > 5 -0.0055783709 -0.05095735 -0.002522731 0.088168991 0.003655392
    > 10 0.0006847522 -0.06785055 -0.029702141 -0.000182194 -0.124354974
    > mean -0.0096692049 0.04220950 0.004248509 0.019465517 0.015358627
    > d_y3_d_x4
    > 1 -0.006969484
    > 5 -0.003065135
    > 10 -0.033881256
    > mean -0.001091776
    2351,2352c2351,2352
    < 1 0.1589283484 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    < 5 0.0074691016 -0.03718387 -0.01687398 -0.072756702 0.04028227 0.2915086
    ---
    > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    > 5 0.0074691017 -0.03718387 -0.01687398 -0.072756702 0.04028227 0.2915086
    2355,2364c2355,2359
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 0.0122771214 0.03632940 -0.25939354 -0.0683871893 0.10550381
    < 5 -0.0690209207 0.01311381 -0.14267669 -0.0174594451 0.06325656
    < 10 0.0009044851 -0.01954560 -0.09173433 -0.0006911288 -0.02874382
    < mean -0.0334618783 0.01529629 -0.06548899 -0.0097500428 0.02922752
    < d_y3_d_x4
    < 1 0.14903288
    < 5 0.01117122
    < 10 -0.14045028
    < mean 0.02448218
    ---
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.012307140 0.03663825 -0.25915624 -0.0683888638 0.10552589 0.14901568
    > 5 -0.068977037 0.01307835 -0.14270346 -0.0175648413 0.06314878 0.01104703
    > 10 0.000936581 -0.01954074 -0.09169794 -0.0006430461 -0.02874204 -0.14039647
    > mean -0.033447591 0.01539275 -0.06542044 -0.0097387319 0.02924573 0.02451390
    2369,2382c2364,2377
    < 1 3.934562e-01 -0.0444330246 -0.0589636383 -0.1634667757 0.0067501172
    < 5 5.569606e-02 0.1118050960 0.2073432488 -0.3655195593 -0.0056772945
    < 10 4.001443e-05 0.0008362211 0.0001822507 -0.0007191321 0.0005625321
    < mean -5.394415e-02 0.0054742866 0.0408136523 0.0139134856 -0.0097072439
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0122771214 0.3041306030 -0.0156634027 -0.087121027 -0.2673472735
    < 5 -0.0690209207 0.8884504390 -0.1313314694 -0.084370604 -0.4887527789
    < 10 0.0009044851 0.0002092639 -0.0006078247 -0.001078286 -0.0001152284
    < mean -0.0334618783 0.0510256247 -0.0100045608 -0.007645654 -0.0122139718
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.088777616 0.0503046164
    < 5 -0.040726856 -0.0140699183
    < 10 -0.001080778 -0.0009396003
    < mean 0.009447469 -0.0041325867
    ---
    > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
    > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
    > 10 3.956835e-05 0.001031063 0.0002019259 -0.0007135702 0.0006847522
    > mean -5.399636e-02 0.005435604 0.0408929985 0.0138966627 -0.0096692049
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.012307140 0.3041791387 -0.0153415475 -0.086915250 -0.2673497162
    > 5 -0.068977037 0.8888133639 -0.1312317856 -0.084254369 -0.4883874931
    > 10 0.000936581 0.0002049371 -0.0007564279 -0.001119009 -0.0001167076
    > mean -0.033447591 0.0510464313 -0.0100229728 -0.007649437 -0.0121552766
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.089085500 0.050521158
    > 5 -0.040612577 -0.013889723
    > 10 -0.001380156 -0.001070066
    > mean 0.009411025 -0.004199630
    2387,2390c2382,2385
    < 1 -0.0556578457 -0.36684216 -0.077332712 -0.065151707 0.02475284
    < 5 0.0923228781 -0.09067915 -0.049990328 0.064906724 -0.05100863
    < 10 -0.0001168718 -0.10892691 -0.005511273 0.002480034 -0.06785855
    < mean -0.0001600977 -0.02045729 -0.007424308 -0.012347264 0.04227370
    ---
    > 1 -0.0551360998 -0.36675497 -0.077701852 -0.065417875 0.02461029
    > 5 0.0922666787 -0.09073310 -0.049802098 0.064841504 -0.05095735
    > 10 -0.0001169437 -0.10891460 -0.005508186 0.002481104 -0.06785055
    > mean -0.0001482806 -0.02050368 -0.007395746 -0.012348059 0.04220950
    2392,2400c2387,2395
    < 1 0.03632940 -0.0156634027 0.53667627 0.028809989 0.0506692091 0.78907480
    < 5 0.01311381 -0.1313314694 0.36778548 0.026845236 -0.0435115192 0.04119832
    < 10 -0.01954560 -0.0006078247 0.08987412 0.029590533 0.0003748766 0.15669096
    < mean 0.01529629 -0.0100045608 0.02686141 0.001954113 0.0111236285 0.04212470
    < d_y3_d_x4
    < 1 0.0828128357
    < 5 -0.0302527150
    < 10 0.0338276780
    < mean -0.0001271846
    ---
    > 1 0.03663825 -0.0153415475 0.53571025 0.028589501 0.0502931362 0.78867418
    > 5 0.01307835 -0.1312317856 0.36770203 0.026887572 -0.0435083937 0.04107823
    > 10 -0.01954074 -0.0007564279 0.08985383 0.029394250 0.0002325527 0.15666266
    > mean 0.01539275 -0.0100229728 0.02671574 0.001916145 0.0111372431 0.04201681
    > d_y3_d_x4
    > 1 8.319167e-02
    > 5 -3.027008e-02
    > 10 3.361876e-02
    > mean -9.363888e-05
    2405,2408c2400,2403
    < 1 -0.2434508197 0.03799588 0.47445939 0.034904205 -0.007058550
    < 5 -0.0208855068 0.03553151 -0.08378468 0.005048475 -0.002591656
    < 10 -0.0002202991 -0.03764964 -0.04783816 0.004960128 -0.029868706
    < mean -0.0383398284 0.01837922 0.08704492 -0.013084831 0.004225202
    ---
    > 1 -0.2431539207 0.03806791 0.47423595 0.034736249 -0.007100758
    > 5 -0.0209438968 0.03541485 -0.08350722 0.004927934 -0.002522731
    > 10 -0.0002206918 -0.03738140 -0.04781628 0.004964602 -0.029702141
    > mean -0.0383790235 0.01837385 0.08712130 -0.013100110 0.004248509
    2410,2418c2405,2413
    < 1 -0.25939354 -0.087121027 0.028809989 0.5429262 0.1175619568 -0.07875694
    < 5 -0.14267669 -0.084370604 0.026845236 0.4427864 0.0917584027 -0.09288769
    < 10 -0.09173433 -0.001078286 0.029590533 0.1345045 0.0007150911 0.03940286
    < mean -0.06548899 -0.007645654 0.001954113 0.1825845 0.0293289341 -0.03425156
    < d_y3_d_x4
    < 1 -0.18480719
    < 5 0.03873331
    < 10 0.16915396
    < mean -0.05563891
    ---
    > 1 -0.25915624 -0.086915250 0.028589501 0.5430830 0.1173791359 -0.07875333
    > 5 -0.14270346 -0.084254369 0.026887572 0.4427421 0.0917414656 -0.09290091
    > 10 -0.09169794 -0.001119009 0.029394250 0.1344230 0.0006774422 0.03900411
    > mean -0.06542044 -0.007649437 0.001916145 0.1826420 0.0293832680 -0.03434150
    > d_y3_d_x4
    > 1 -0.18429040
    > 5 0.03875653
    > 10 0.16897835
    > mean -0.05563589
    2423,2436c2418,2431
    < 1 -4.943764e-01 -0.0186821878 0.1895970695 0.1447213097 -0.0016785929
    < 5 -2.592568e-01 -0.1446017020 -0.0716912623 0.1637469270 0.0880529872
    < 10 -2.262166e-05 -0.0004450966 -0.0001834388 0.0004011784 -0.0003094116
    < mean -5.095389e-02 -0.0416569892 0.0276224228 -0.0272388159 0.0194175338
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.0683871893 -0.2673472735 0.0506692091 0.1175619568 3.484754e-01
    < 5 -0.0174594451 -0.4887527789 -0.0435115192 0.0917584027 6.535652e-01
    < 10 -0.0006911288 -0.0001152284 0.0003748766 0.0007150911 7.066597e-05
    < mean -0.0097500428 -0.0122139718 0.0111236285 0.0293289341 9.672659e-02
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0237560263 -0.1867324477
    < 5 0.0431834266 -0.1426780324
    < 10 0.0004804019 0.0009246976
    < mean 0.0430117405 -0.0629649642
    ---
    > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
    > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
    > 10 -2.316957e-05 -0.0002466476 -0.000167342 0.0004091202 -0.000182194
    > mean -5.100716e-02 -0.0417118839 0.027720262 -0.0272599289 0.019465517
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.0683888638 -0.2673497162 0.0502931362 0.1173791359 3.484787e-01
    > 5 -0.0175648413 -0.4883874931 -0.0435083937 0.0917414656 6.538214e-01
    > 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006774422 7.263175e-05
    > mean -0.0097387319 -0.0121552766 0.0111372431 0.0293832680 9.680299e-02
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.0237422937 -0.1867641107
    > 5 0.0431861770 -0.1430103473
    > 10 0.0002043577 0.0007809695
    > mean 0.0430877156 -0.0630216808
    2441,2444c2436,2439
    < 1 -0.0188072205 -0.65396671 -0.147189140 -0.178378292 -0.004835453
    < 5 -0.0398633552 -0.08441451 -0.028694975 0.005673152 0.003603650
    < 10 -0.0001921894 -0.20174659 -0.009576436 0.004023507 -0.124361793
    < mean -0.0379050160 -0.13131246 -0.021228994 -0.031254180 0.015380795
    ---
    > 1 -0.0188374345 -0.65426181 -0.146882467 -0.178619507 -0.004915436
    > 5 -0.0399301204 -0.08451449 -0.028543080 0.005572462 0.003655392
    > 10 -0.0001923111 -0.20173639 -0.009577636 0.004025707 -0.124354974
    > mean -0.0379985139 -0.13140706 -0.021115011 -0.031269333 0.015358627
    2446,2454c2441,2449
    < 1 0.10550381 0.088777616 0.78907480 -0.07875694 0.0237560263 1.4544573
    < 5 0.06325656 -0.040726856 0.04119832 -0.09288769 0.0431834266 0.2498002
    < 10 -0.02874382 -0.001080778 0.15669096 0.03940286 0.0004804019 0.3032570
    < mean 0.02922752 0.009447469 0.04212470 -0.03425156 0.0430117405 0.3236434
    < d_y3_d_x4
    < 1 0.13444567
    < 5 -0.04497601
    < 10 0.05127830
    < mean 0.02396876
    ---
    > 1 0.10552589 0.089085500 0.78867418 -0.07875333 0.0237422937 1.4556119
    > 5 0.06314878 -0.040612577 0.04107823 -0.09290091 0.0431861770 0.2495913
    > 10 -0.02874204 -0.001380156 0.15666266 0.03900411 0.0002043577 0.3032282
    > mean 0.02924573 0.009411025 0.04201681 -0.03434150 0.0430877156 0.3238106
    > d_y3_d_x4
    > 1 0.13436032
    > 5 -0.04532905
    > 10 0.05086440
    > mean 0.02377482
    2459,2472c2454,2467
    < 1 0.2703772862 -5.494133e-02 -0.37541111 -0.030986400 -0.006962440
    < 5 0.0817117635 5.390893e-02 -0.06074796 0.023601420 -0.003143731
    < 10 -0.0002408483 -4.419214e-02 -0.09150022 0.005849075 -0.034067600
    < mean 0.0584865705 5.425835e-06 -0.08600944 0.009428078 -0.001147291
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.14903288 0.0503046164 0.0828128357 -0.18480719 -0.1867324477
    < 5 0.01117122 -0.0140699183 -0.0302527150 0.03873331 -0.1426780324
    < 10 -0.14045028 -0.0009396003 0.0338276780 0.16915396 0.0009246976
    < mean 0.02448218 -0.0041325867 -0.0001271846 -0.05563891 -0.0629649642
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.13444567 0.4430295
    < 5 -0.04497601 0.2298604
    < 10 0.05127830 0.2860146
    < mean 0.02396876 0.1910279
    ---
    > 1 0.270328853 -5.504100e-02 -0.37513506 -0.031123121 -0.006969484
    > 5 0.081681433 5.376516e-02 -0.06042803 0.023442576 -0.003065135
    > 10 -0.000241325 -4.389582e-02 -0.09148118 0.005855566 -0.033881256
    > mean 0.058420857 -2.400034e-05 -0.08589753 0.009408115 -0.001091776
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.14901568 0.050521158 8.319167e-02 -0.18429040 -0.1867641107
    > 5 0.01104703 -0.013889723 -3.027008e-02 0.03875653 -0.1430103473
    > 10 -0.14039647 -0.001070066 3.361876e-02 0.16897835 0.0007809695
    > mean 0.02451390 -0.004199630 -9.363888e-05 -0.05563589 -0.0630216808
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.13436032 0.4426038
    > 5 -0.04532905 0.2294027
    > 10 0.05086440 0.2857090
    > mean 0.02377482 0.1907257
    2476,2477c2471,2472
    < d_y1_d_x1 0.1626490561 1.042533e-02 -0.105871709 0.052385189 -0.016219245
    < d_y2_d_x1 0.0104253264 1.517178e-01 0.023939392 0.014984015 -0.020431173
    ---
    > d_y1_d_x1 0.1626490560 1.042533e-02 -0.105871709 0.052385189 -0.016219245
    > d_y2_d_x1 0.0104253263 1.517178e-01 0.023939392 0.014984015 -0.020431173
    2482,2513c2477,2508
    < d_y1_d_x3 -0.0539441503 5.474287e-03 0.040813652 0.013913486 -0.009707244
    < d_y2_d_x3 -0.0001600977 -2.045729e-02 -0.007424308 -0.012347264 0.042273702
    < d_y3_d_x3 -0.0383398284 1.837922e-02 0.087044925 -0.013084831 0.004225202
    < d_y1_d_x4 -0.0509538912 -4.165699e-02 0.027622423 -0.027238816 0.019417534
    < d_y2_d_x4 -0.0379050160 -1.313125e-01 -0.021228994 -0.031254180 0.015380795
    < d_y3_d_x4 0.0584865705 5.425835e-06 -0.086009438 0.009428078 -0.001147291
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 0.025298898 -0.053944150 -0.0001600977 -0.038339828 -0.050953891
    < d_y2_d_x1 -0.017086875 0.005474287 -0.0204572931 0.018379219 -0.041656989
    < d_y3_d_x1 -0.081037045 0.040813652 -0.0074243082 0.087044925 0.027622423
    < d_y1_d_x2 -0.039419377 0.013913486 -0.0123472638 -0.013084831 -0.027238816
    < d_y2_d_x2 0.026558814 -0.009707244 0.0422737024 0.004225202 0.019417534
    < d_y3_d_x2 0.229423945 -0.033461878 0.0152962895 -0.065488986 -0.009750043
    < d_y1_d_x3 -0.033461878 0.051025625 -0.0100045608 -0.007645654 -0.012213972
    < d_y2_d_x3 0.015296289 -0.010004561 0.0268614112 0.001954113 0.011123628
    < d_y3_d_x3 -0.065488986 -0.007645654 0.0019541135 0.182584485 0.029328934
    < d_y1_d_x4 -0.009750043 -0.012213972 0.0111236285 0.029328934 0.096726594
    < d_y2_d_x4 0.029227524 0.009447469 0.0421246968 -0.034251559 0.043011740
    < d_y3_d_x4 0.024482184 -0.004132587 -0.0001271846 -0.055638914 -0.062964964
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.037905016 5.848657e-02
    < d_y2_d_x1 -0.131312460 5.425835e-06
    < d_y3_d_x1 -0.021228994 -8.600944e-02
    < d_y1_d_x2 -0.031254180 9.428078e-03
    < d_y2_d_x2 0.015380795 -1.147291e-03
    < d_y3_d_x2 0.029227524 2.448218e-02
    < d_y1_d_x3 0.009447469 -4.132587e-03
    < d_y2_d_x3 0.042124697 -1.271846e-04
    < d_y3_d_x3 -0.034251559 -5.563891e-02
    < d_y1_d_x4 0.043011740 -6.296496e-02
    < d_y2_d_x4 0.323643436 2.396876e-02
    < d_y3_d_x4 0.023968757 1.910279e-01
    ---
    > d_y1_d_x3 -0.0539963555 5.435604e-03 0.040892998 0.013896663 -0.009669205
    > d_y2_d_x3 -0.0001482806 -2.050368e-02 -0.007395746 -0.012348059 0.042209499
    > d_y3_d_x3 -0.0383790235 1.837385e-02 0.087121303 -0.013100110 0.004248509
    > d_y1_d_x4 -0.0510071578 -4.171188e-02 0.027720262 -0.027259929 0.019465517
    > d_y2_d_x4 -0.0379985139 -1.314071e-01 -0.021115011 -0.031269333 0.015358627
    > d_y3_d_x4 0.0584208567 -2.400034e-05 -0.085897525 0.009408115 -0.001091776
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 0.025298898 -0.053996355 -1.482806e-04 -0.038379023 -0.051007158
    > d_y2_d_x1 -0.017086875 0.005435604 -2.050368e-02 0.018373848 -0.041711884
    > d_y3_d_x1 -0.081037045 0.040892998 -7.395746e-03 0.087121303 0.027720262
    > d_y1_d_x2 -0.039419377 0.013896663 -1.234806e-02 -0.013100110 -0.027259929
    > d_y2_d_x2 0.026558814 -0.009669205 4.220950e-02 0.004248509 0.019465517
    > d_y3_d_x2 0.229423945 -0.033447591 1.539275e-02 -0.065420443 -0.009738732
    > d_y1_d_x3 -0.033447591 0.051046431 -1.002297e-02 -0.007649437 -0.012155277
    > d_y2_d_x3 0.015392751 -0.010022973 2.671574e-02 0.001916145 0.011137243
    > d_y3_d_x3 -0.065420443 -0.007649437 1.916145e-03 0.182641990 0.029383268
    > d_y1_d_x4 -0.009738732 -0.012155277 1.113724e-02 0.029383268 0.096802988
    > d_y2_d_x4 0.029245729 0.009411025 4.201681e-02 -0.034341495 0.043087716
    > d_y3_d_x4 0.024513901 -0.004199630 -9.363888e-05 -0.055635892 -0.063021681
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.037998514 5.842086e-02
    > d_y2_d_x1 -0.131407058 -2.400034e-05
    > d_y3_d_x1 -0.021115011 -8.589753e-02
    > d_y1_d_x2 -0.031269333 9.408115e-03
    > d_y2_d_x2 0.015358627 -1.091776e-03
    > d_y3_d_x2 0.029245729 2.451390e-02
    > d_y1_d_x3 0.009411025 -4.199630e-03
    > d_y2_d_x3 0.042016814 -9.363888e-05
    > d_y3_d_x3 -0.034341495 -5.563589e-02
    > d_y1_d_x4 0.043087716 -6.302168e-02
    > d_y2_d_x4 0.323810632 2.377482e-02
    > d_y3_d_x4 0.023774823 1.907257e-01
    2521,2522c2516,2517
    < 1 0.2844103082 0.0365935260 0.0780064051 -0.22745182 0.019380780
    < 5 -0.1562244502 -0.0003601467 -0.0126554976 0.17568006 -0.017225469
    ---
    > 1 0.2844103081 0.0365935258 0.0780064050 -0.22745182 0.019380780
    > 5 -0.1562244504 -0.0003601467 -0.0126554978 0.17568006 -0.017225469
    2524c2519
    < mean 0.0424569006 0.0121555169 0.0220471942 -0.01145205 -0.000837786
    ---
    > mean 0.0424569005 0.0121555168 0.0220471942 -0.01145205 -0.000837786
    2526,2534c2521,2529
    < 1 -0.02311634 0.278661816 -0.068156591 0.013655743 -0.233296715
    < 5 -0.04385058 -0.365474317 0.050304205 0.088007379 0.241984210
    < 10 -0.01341462 -0.004418688 0.001335043 0.004152234 0.002220446
    < mean -0.02679385 -0.030410396 -0.005505781 0.035271785 0.003635980
    < d_y2_d_x4 d_y3_d_x4
    < 1 -6.941114e-02 -0.0043520743
    < 5 -1.532108e-02 -0.0153210777
    < 10 -3.330669e-05 -0.0007993606
    < mean -2.825518e-02 -0.0068241709
    ---
    > 1 -0.02311634 0.278693735 -0.067768013 0.013911094 -0.233257857
    > 5 -0.04385058 -0.365474317 0.050365268 0.088007379 0.241984210
    > 10 -0.01341462 -0.004107825 0.001389167 0.004463097 0.002042810
    > mean -0.02679385 -0.030296136 -0.005337860 0.035460523 0.003589721
    > d_y2_d_x4 d_y3_d_x4
    > 1 -6.892265e-02 -0.0040412118
    > 5 -1.525446e-02 -0.0153210777
    > 10 -3.885781e-05 -0.0009769963
    > mean -2.807199e-02 -0.0067797619
    2544,2547c2539,2542
    < 1 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000 0.000000000
    < 5 -0.04385058 -0.3654743 0.05030421 0.08816281 0.2419842 -0.015321078
    < 10 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000 0.000000000
    < mean -0.01461686 -0.1218248 0.01676807 0.02938760 0.0806614 -0.005107026
    ---
    > 1 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000
    > 5 -0.04385058 -0.3656297 0.05028755 0.08800738 0.24207303 -0.015210055
    > 10 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000
    > mean -0.01461686 -0.1218766 0.01676252 0.02933579 0.08069101 -0.005070018
    2550c2545
    < 5 -0.015409896
    ---
    > 5 -0.015321078
    2552c2547
    < mean -0.005136632
    ---
    > mean -0.005107026
    2562c2557
    < 1 0.27873953 -0.06815659 0.013500312 -0.23334112 -0.06941114 -0.004263256
    ---
    > 1 0.27877145 -0.06776801 0.013755663 -0.23330227 -0.06892265 -0.003952394
    2565c2560
    < mean 0.09291318 -0.02271886 0.004500104 -0.07778037 -0.02313705 -0.001421085
    ---
    > mean 0.09292382 -0.02258934 0.004585221 -0.07776742 -0.02297422 -0.001317465
    2571,2583c2566,2578
    < 5 0.097646416 0.0002251057 0.0079101826 -0.10980693 0.010766595
    < 10 -0.001022056 0.0002923537 0.0009913603 0.02183595 -0.005853647
    < mean -0.069025236 -0.0128526583 -0.0247985152 0.05163582 -0.005260769
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.02468417 -0.149797133 0.017542586 -0.173349731 0.249100740
    < 5 0.02740834 0.484581982 -0.074613292 -0.138862552 -0.151745283
    < 10 -0.01681944 -0.004620701 0.001535543 0.004762355 0.003463896
    < mean 0.01175769 0.110054716 -0.018511721 -0.102483309 0.033606451
    < d_y2_d_x4 d_y3_d_x4
    < 1 7.318590e-02 0.0039079850
    < 5 9.281464e-03 0.0089706020
    < 10 -5.551115e-06 -0.0004440892
    < mean 2.748727e-02 0.0041448326
    ---
    > 5 0.097646416 0.0002251057 0.0079101828 -0.10980693 0.010766595
    > 10 -0.001022055 0.0002923537 0.0009913604 0.02183595 -0.005853647
    > mean -0.069025236 -0.0128526583 -0.0247985151 0.05163582 -0.005260770
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
    > 5 0.02740834 0.484715209 -0.074546679 -0.138729325 -0.151567647
    > 10 -0.01681944 -0.004587394 0.001521665 0.004795661 0.003241851
    > mean 0.01175769 0.110094499 -0.018712486 -0.102553623 0.033587947
    > d_y2_d_x4 d_y3_d_x4
    > 1 7.305268e-02 0.0038191672
    > 5 9.370282e-03 0.0091482377
    > 10 -1.665335e-05 -0.0006661338
    > mean 2.746877e-02 0.0041004237
    2590c2585
    < 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626134 0.001776293
    ---
    > 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626135 0.001776293
    2593,2601c2588,2596
    < 1 -0.009858291 0.118978438 -0.0287436741 0.005928591 0.0483693499
    < 5 -0.036026809 -0.300959258 0.0412836432 0.072242212 0.4554608315
    < 10 0.005103872 0.001665335 -0.0005467848 -0.001576517 0.0003753026
    < mean -0.013593743 -0.060105162 0.0039977281 0.025531429 0.1680684947
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0846423414 -0.1596717828
    < 5 -0.0554175360 -0.0955860585
    < 10 -0.0002061194 0.0003436669
    < mean -0.0467553323 -0.0849713914
    ---
    > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
    > 5 -0.036026809 -0.30095926 0.0412836432 0.072242212 4.554608e-01
    > 10 0.005103872 0.00184297 -0.0005273559 -0.001398881 2.003137e-05
    > mean -0.013593743 -0.06004132 0.0040375111 0.025627648 1.679538e-01
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0845979325 -1.595830e-01
    > 5 -0.0554175360 -9.558606e-02
    > 10 -0.0002172217 -1.160433e-05
    > mean -0.0467442301 -8.506021e-02
    2607,2619c2602,2614
    < 5 0.0329540421 0.14117738 0.009013214 -0.014887909 -0.04799001
    < 10 0.0001596095 0.21970457 0.006612413 -0.003257077 0.13273560
    < mean 0.0080240616 0.06916869 -0.001320639 0.006892933 -0.01930617
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.011727560 -0.0425923186 0.35195180 0.031297187 0.0129063427
    < 5 -0.004653031 0.0468292072 -0.07964185 -0.002431388 -0.0521360732
    < 10 0.012840268 0.0005662137 -0.22632729 -0.018451907 -0.0009325873
    < mean -0.001180108 0.0016010341 0.01532755 0.003471297 -0.0133874393
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.32849279 0.029620750
    < 5 -0.08177903 0.009459100
    < 10 -0.30196956 -0.018385293
    < mean -0.01841860 0.006898186
    ---
    > 5 0.0329540419 0.14117738 0.009013214 -0.014887909 -0.04799001
    > 10 0.0001596092 0.21970457 0.006612413 -0.003257078 0.13273560
    > mean 0.0080240615 0.06916869 -0.001320640 0.006892933 -0.01930617
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.011727560 -0.0426436664 0.35113024 0.030886405 0.0128785871
    > 5 -0.004653031 0.0463296068 -0.07983059 -0.002808864 -0.0527133892
    > 10 0.012840268 0.0007993606 -0.22631341 -0.018218760 -0.0007105427
    > mean -0.001180108 0.0014951003 0.01499541 0.003286260 -0.0135151150
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.32804870 0.029398706
    > 5 -0.08200107 0.009015011
    > 10 -0.30195846 -0.018163249
    > mean -0.01863694 0.006750156
    2629,2632c2624,2627
    < 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    < 5 0.04667378 -0.07971956 -0.002553513 -0.05204726 -0.08173462 0.009325873
    < 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    < mean 0.01555793 -0.02657319 -0.000851171 -0.01734909 -0.02724487 0.003108624
    ---
    > 1 0.0000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
    > 5 0.0462963 -0.07984724 -0.0028088643 -0.05249134 -0.08189005 0.009015011
    > 10 0.0000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
    > mean 0.0154321 -0.02661575 -0.0009362881 -0.01749711 -0.02729668 0.003005004
    2642c2637
    < 1 -0.04259232 0.3519518 0.03129719 0.012906343 0.3284928 0.029620750
    ---
    > 1 -0.04264367 0.3511302 0.03088640 0.012878587 0.3280487 0.029398706
    2645c2640
    < mean -0.01419744 0.1173173 0.01043240 0.004302114 0.1094976 0.009873583
    ---
    > mean -0.01421456 0.1170434 0.01029547 0.004292862 0.1093496 0.009799569
    2651,2652c2646,2647
    < 5 -0.0205975704 -0.0882414 -0.005633613 0.009305528 0.02999564 0.002908327
    < 10 0.0002001206 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
    ---
    > 5 -0.0205975703 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
    > 10 0.0002001207 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
    2655,2663c2650,2658
    < 1 0.029348097 -0.11832956 -0.006303941 -0.0136890499 -0.34976466
    < 5 -0.071052622 0.45043362 0.038642514 0.0316635607 0.05080381
    < 10 0.001471807 -0.15661433 -0.006827238 -0.0002220446 -0.37874148
    < mean -0.013410906 0.05849658 0.008503779 0.0059174887 -0.22590078
    < d_y3_d_x4
    < 1 -0.031041836
    < 5 -0.006705747
    < 10 -0.023181457
    < mean -0.020309680
    ---
    > 1 0.029296749 -0.11915112 -0.006581496 -0.0137168055 -0.35020875
    > 5 -0.071041520 0.45043917 0.038775741 0.0317079696 0.05082601
    > 10 0.001849283 -0.15659907 -0.006183308 0.0002220446 -0.37872483
    > mean -0.013298496 0.05822966 0.008670312 0.0060710696 -0.22603586
    > d_y3_d_x4
    > 1 -0.031086245
    > 5 -0.006528111
    > 10 -0.022382096
    > mean -0.019998817
    2670c2665
    < 10 -6.072676e-05 -0.08359122 -0.002515832 0.001239224 -0.05050205
    ---
    > 10 -6.072676e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205
    2673,2681c2668,2676
    < 1 -0.005001385 -0.0181674120 0.15011326 0.013367085 -0.0107337295
    < 5 -0.003822843 0.0390354415 -0.06519785 -0.001976197 -0.0841199471
    < 10 -0.004885350 -0.0003996803 0.08609502 0.007061018 -0.0003378564
    < mean -0.004569859 0.0068227831 0.05700348 0.006150636 -0.0317305110
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.3959257 0.03876001
    < 5 0.3334383 0.04493748
    < 10 0.2420501 0.02250485
    < mean 0.3238047 0.03540078
    ---
    > 1 -0.005001385 -0.0182381887 0.14911405 0.012800871 -0.0107503829
    > 5 -0.003822842 0.0387800903 -0.06539214 -0.002231548 -0.0844308096
    > 10 -0.004885350 -0.0006883383 0.08605894 0.006772360 -0.0004266743
    > mean -0.004569859 0.0066178544 0.05659362 0.005780561 -0.0318692889
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.3958369 0.03862679
    > 5 0.3331941 0.04462662
    > 10 0.2420390 0.02241604
    > mean 0.3236900 0.03522315
    2687,2699c2682,2694
    < 5 0.0092022347 0.019490025 0.18335766 -0.062146477 0.007141050
    < 10 0.0001787656 0.011466788 0.12395916 -0.004659593 0.009654283
    < mean -0.0314173489 0.005045995 0.04601049 -0.002766753 0.002814993
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 0.03177489 -0.079707074 0.032718273 -0.01521006 0.08333889 0.020028423
    < 5 0.02361125 0.116806564 -0.027128300 -0.10127454 -0.03974598 -0.020050628
    < 10 0.15087598 0.001332268 -0.010072498 -0.23063773 0.00000000 -0.012134738
    < mean 0.06875404 0.012810586 -0.001494175 -0.11570744 0.01453097 -0.004052314
    < d_y3_d_x4
    < 1 -0.03419487
    < 5 -0.14113155
    < 10 -0.24682478
    < mean -0.14071707
    ---
    > 5 0.0092022346 0.019490025 0.18335766 -0.062146477 0.007141051
    > 10 0.0001787653 0.011466788 0.12395916 -0.004659593 0.009654283
    > mean -0.0314173490 0.005045995 0.04601049 -0.002766753 0.002814993
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.03177489 -0.079640461 0.033384406 -0.01467715 0.0833833003
    > 5 0.02361125 0.117450494 -0.026795233 -0.10076384 -0.0389466237
    > 10 0.15087598 0.001176836 -0.010071111 -0.23079316 -0.0002664535
    > mean 0.06875404 0.012995623 -0.001160646 -0.11541138 0.0147234077
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.020561330 -0.0338396
    > 5 -0.019784174 -0.1405098
    > 10 -0.012173595 -0.2470912
    > mean -0.003798813 -0.1404802
    2704,2707c2699,2702
    < 1 -1.490547e-01 0.01435670 0.2632494 0.00000000 0.00000000 0.000000000
    < 5 -7.098635e-02 0.03269126 0.4007928 -0.06214648 0.00714105 0.023611252
    < 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.00000000 0.000000000
    < mean -7.334899e-02 0.02065998 0.3249696 -0.02071549 0.00238035 0.007870417
    ---
    > 1 -1.490547e-01 0.01435670 0.2632494 0.00000000 0.000000000 0.000000000
    > 5 -7.098636e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.023611252
    > 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.000000000
    > mean -7.334899e-02 0.02065998 0.3249696 -0.02071549 0.002380350 0.007870417
    2710c2705
    < 5 0.11680656 -0.027128300 -0.10127454 -0.03974598 -0.020050628 -0.14113155
    ---
    > 5 0.11732837 -0.026856295 -0.10088597 -0.03907985 -0.019850788 -0.14064305
    2712c2707
    < mean 0.03893552 -0.009042767 -0.03375818 -0.01324866 -0.006683543 -0.04704385
    ---
    > mean 0.03910946 -0.008952098 -0.03362866 -0.01302662 -0.006616929 -0.04688102
    2722c2717
    < 1 -0.07970707 0.03271827 -0.015210055 0.08333889 0.020028423 -0.03419487
    ---
    > 1 -0.07964046 0.03338441 -0.014677148 0.08338330 0.020561330 -0.03383960
    2725c2720
    < mean -0.02656902 0.01090609 -0.005070018 0.02777963 0.006676141 -0.01139829
    ---
    > mean -0.02654682 0.01112814 -0.004892383 0.02779443 0.006853777 -0.01127987
    2731c2726
    < 5 -0.0057517578 -0.012182031 -0.11460574 0.038843988 -0.004463437
    ---
    > 5 -0.0057517577 -0.012182031 -0.11460574 0.038843988 -0.004463437
    2733c2728
    < mean 0.0350447349 0.006362307 0.07386101 -0.009824057 0.005519317
    ---
    > mean 0.0350447349 0.006362306 0.07386101 -0.009824057 0.005519317
    2735,2738c2730,2733
    < 1 -0.03392998 0.0396353549 -0.005551447 0.4481223 -0.089117602
    < 5 -0.01475796 -0.1431397494 0.050005190 0.4643419 0.025446312
    < 10 0.18917056 0.0002593743 -0.009201082 -0.1030940 -0.001065814
    < mean 0.04682754 -0.0344150067 0.011750887 0.2697901 -0.021579035
    ---
    > 1 -0.03392998 0.0396520083 -0.005284993 0.4483888 -0.0890953977
    > 5 -0.01475796 -0.1431397494 0.050005190 0.4643419 0.0254463117
    > 10 0.18917056 0.0003926011 -0.009184429 -0.1029607 -0.0008881784
    > mean 0.04682754 -0.0343650467 0.011845256 0.2699233 -0.0215124215
    2740c2735
    < 1 -0.023181457 0.03570477
    ---
    > 1 -0.022826185 0.03606004
    2742,2743c2737,2738
    < 10 -0.015315527 -0.31019631
    < mean -0.008576473 -0.06206887
    ---
    > 10 -0.015293322 -0.31001868
    > mean -0.008450648 -0.06189123
    2748c2743
    < 1 -4.419579e-02 -0.006746165 -0.07219415 0.024950635 -0.0035611269
    ---
    > 1 -4.419579e-02 -0.006746165 -0.07219415 0.024950635 -0.0035611268
    2753,2761c2748,2756
    < 1 0.013550853 -3.390621e-02 0.015054624 -0.0058175686 -0.0097168340
    < 5 0.019398558 9.493517e-02 -0.022748470 -0.0836664071 -0.1051368153
    < 10 -0.057403936 5.551115e-05 0.003856637 0.0884958773 0.0007478725
    < mean -0.008151508 2.036149e-02 -0.001279069 -0.0003293662 -0.0380352590
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.041011307 0.4192121
    < 5 0.015416192 0.2839085
    < 10 0.008144765 0.2818981
    < mean 0.021524088 0.3283396
    ---
    > 1 0.013550854 -0.0338507000 0.015776269 -0.005373479 -0.009716834
    > 5 0.019398558 0.0949684775 -0.022731816 -0.083633100 -0.105358860
    > 10 -0.057403936 -0.0002109424 0.003856637 0.088229424 0.000392601
    > mean -0.008151508 0.0203022784 -0.001032970 -0.000259052 -0.038227698
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.041055716 0.4192121
    > 5 0.015305170 0.2836864
    > 10 0.008144765 0.2815428
    > mean 0.021501883 0.3281471
    2767,2768c2762,2763
    < 5 -0.389154438 -0.1346716769 0.006126323 -0.02640070 0.200346660
    < 10 -0.002199324 -0.0001412115 0.001882921 0.03400172 0.006272141
    ---
    > 5 -0.389154438 -0.1346716768 0.006126323 -0.02640070 0.200346660
    > 10 -0.002199324 -0.0001412116 0.001882921 0.03400172 0.006272141
    2771,2779c2766,2774
    < 1 0.04842374 0.18775259 0.456878979 -0.036692871 -0.002164935
    < 5 0.03805750 -0.13624657 -0.301664249 -0.033173464 0.512656584
    < 10 -0.02126043 -0.01154632 -0.001067202 0.008870682 0.006750156
    < mean 0.02174027 0.01331990 0.051382509 -0.020331884 0.172413935
    < d_y2_d_x4 d_y3_d_x4
    < 1 9.624301e-01 0.01842970
    < 5 1.145972e-01 -0.07016610
    < 10 -5.551115e-06 -0.00288658
    < mean 3.590073e-01 -0.01820766
    ---
    > 1 0.04842374 0.18776647 0.457101024 -0.036581849 -0.002109424
    > 5 0.03805750 -0.13611334 -0.301597636 -0.033173464 0.512834220
    > 10 -0.02126043 -0.01127987 -0.001033895 0.009137135 0.007105427
    > mean 0.02174027 0.01345775 0.051489831 -0.020206059 0.172610074
    > d_y2_d_x4 d_y3_d_x4
    > 1 9.633183e-01 0.018873791
    > 5 1.146860e-01 -0.070166095
    > 10 3.885781e-05 -0.002531308
    > mean 3.593477e-01 -0.017941204
    2784,2797c2779,2792
    < 1 0.6779988895 -0.0439634710 -0.7518035113 -0.15287721 0.012866382
    < 5 0.1100880664 -0.0272114693 -0.1341660790 0.25360526 0.002158135
    < 10 -0.0008353509 0.0001322237 -0.0007461052 0.02054856 -0.003285345
    < mean 0.2624172017 -0.0236809055 -0.2955718985 0.04042553 0.003913057
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.39436273 0.215598372 0.0112576615 -0.516908738 -0.389005494
    < 5 0.25411486 -0.444266846 0.0165201186 -0.312028181 -0.033395509
    < 10 0.01486094 -0.004696243 0.0008965051 -0.003830269 0.001465494
    < mean 0.22111284 -0.077788239 0.0095580951 -0.277589063 -0.140311836
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0897948382 0.452304860
    < 5 0.0420996571 0.175814918
    < 10 0.0002109424 0.001376677
    < mean 0.0440351459 0.209832152
    ---
    > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
    > 5 0.1100880665 -0.0272114692 -0.1341660789 0.25360526 0.002158135
    > 10 -0.0008353512 0.0001322236 -0.0007461053 0.02054856 -0.003285345
    > mean 0.2624172016 -0.0236809056 -0.2955718985 0.04042553 0.003913057
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903
    > 5 0.25411486 -0.444211334 0.0164201985 -0.312128101 -0.033884007
    > 10 0.01486094 -0.004884981 0.0008895662 -0.004019007 0.001776357
    > mean 0.22111284 -0.077825246 0.0096334977 -0.277626070 -0.140385851
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.0893507490 0.451949589
    > 5 0.0416999768 0.175415238
    > 10 0.0002720046 0.001687539
    > mean 0.0437742435 0.209684122
    2803,2810c2798,2805
    < 5 0.0509223602 0.17907793 0.041843223 -0.03551199 0.05245643 -0.14276885
    < 10 0.0004814613 0.10663947 -0.004474384 -0.01049811 0.08873839 0.12655913
    < mean 0.0072789886 0.08441427 -0.015479741 0.01471218 0.03427656 -0.04673898
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.101030295 0.17524870 0.20110580 0.036282088 0.006084022 0.17026380
    < 5 0.110644827 -0.19962365 0.24427127 -0.116973098 -0.320832250 0.23208102
    < 10 0.002398082 -0.08063689 -0.24955593 -0.001776357 -0.097927222 -0.21911362
    < mean 0.004004204 -0.03500394 0.06527371 -0.027489122 -0.137558483 0.06107707
    ---
    > 5 0.0509223599 0.17907793 0.041843222 -0.03551199 0.05245643 -0.14276885
    > 10 0.0004814612 0.10663947 -0.004474384 -0.01049811 0.08873839 0.12655913
    > mean 0.0072789884 0.08441427 -0.015479741 0.01471218 0.03427656 -0.04673898
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.101010866 0.17555957 0.20126123 0.036270986 0.005906386 0.1701750
    > 5 0.110778053 -0.19941826 0.24453772 -0.116795462 -0.320721227 0.2324363
    > 10 0.002531308 -0.08062023 -0.24942270 -0.001598721 -0.097905017 -0.2189360
    > mean 0.004099499 -0.03482631 0.06545875 -0.027374399 -0.137573286 0.0612251
    2814c2809
    < d_y1_d_x1 0.042456901 0.229417496 0.094803436 -0.069025236 -0.002250030
    ---
    > d_y1_d_x1 0.042456900 0.229417496 0.094803436 -0.069025236 -0.002250030
    2818,2825c2813,2820
    < d_y2_d_x2 -0.000837786 -0.005741823 -0.040290314 -0.005260769 -0.001370206
    < d_y3_d_x2 -0.026793845 -0.014616861 -0.099959367 0.011757688 -0.013593743
    < d_y1_d_x3 -0.030410396 -0.121824772 0.092913177 0.110054716 -0.060105162
    < d_y2_d_x3 -0.005505781 0.016768068 -0.022718864 -0.018511721 0.003997728
    < d_y3_d_x3 0.035271785 0.029387603 0.004500104 -0.102483309 0.025531429
    < d_y1_d_x4 0.003635980 0.080661403 -0.077780375 0.033606451 0.168068495
    < d_y2_d_x4 -0.028255176 -0.005107026 -0.023137048 0.027487272 -0.046755332
    < d_y3_d_x4 -0.006824171 -0.005136632 -0.001421085 0.004144833 -0.084971391
    ---
    > d_y2_d_x2 -0.000837786 -0.005741823 -0.040290314 -0.005260770 -0.001370206
    > d_y3_d_x2 -0.026793845 -0.014616861 -0.099959367 0.011757689 -0.013593743
    > d_y1_d_x3 -0.030296136 -0.121876583 0.092923817 0.110094499 -0.060041324
    > d_y2_d_x3 -0.005337860 0.016762517 -0.022589338 -0.018712486 0.004037511
    > d_y3_d_x3 0.035460523 0.029335793 0.004585221 -0.102553623 0.025627648
    > d_y1_d_x4 0.003589721 0.080691009 -0.077767422 0.033587947 0.167953772
    > d_y2_d_x4 -0.028071989 -0.005070018 -0.022974215 0.027468768 -0.046744230
    > d_y3_d_x4 -0.006779762 -0.005107026 -0.001317465 0.004100424 -0.085060209
    2827,2838c2822,2833
    < d_y1_d_x1 0.008024062 -0.022191869 -0.003013822 -0.003580919 0.007719276
    < d_y2_d_x1 0.069168691 0.283412432 -0.051125291 0.117001952 -0.011003959
    < d_y3_d_x1 -0.001320639 0.022105135 -0.006529182 0.007857725 -0.001154711
    < d_y1_d_x2 0.006892933 -0.004962636 -0.025279579 -0.012078401 0.001854851
    < d_y2_d_x2 -0.019306168 -0.015996670 0.289551399 0.116253877 -0.050256955
    < d_y3_d_x2 -0.001180108 -0.001551010 0.029159259 0.010510205 -0.004569859
    < d_y1_d_x3 0.001601034 0.015557925 -0.014197440 -0.013410906 0.006822783
    < d_y2_d_x3 0.015327554 -0.026573188 0.117317267 0.058496577 0.057003476
    < d_y3_d_x3 0.003471297 -0.000851171 0.010432396 0.008503779 0.006150636
    < d_y1_d_x4 -0.013387439 -0.017349085 0.004302114 0.005917489 -0.031730511
    < d_y2_d_x4 -0.018418600 -0.027244873 0.109497596 -0.225900780 0.323804722
    < d_y3_d_x4 0.006898186 0.003108624 0.009873583 -0.020309680 0.035400782
    ---
    > d_y1_d_x1 0.008024061 -0.0221918693 -0.003013822 -0.003580919 0.007719276
    > d_y2_d_x1 0.069168691 0.2834124319 -0.051125291 0.117001952 -0.011003959
    > d_y3_d_x1 -0.001320640 0.0221051354 -0.006529182 0.007857725 -0.001154711
    > d_y1_d_x2 0.006892933 -0.0049626362 -0.025279579 -0.012078401 0.001854851
    > d_y2_d_x2 -0.019306168 -0.0159966696 0.289551399 0.116253877 -0.050256955
    > d_y3_d_x2 -0.001180108 -0.0015510103 0.029159259 0.010510205 -0.004569859
    > d_y1_d_x3 0.001495100 0.0154321000 -0.014214555 -0.013298496 0.006617854
    > d_y2_d_x3 0.014995412 -0.0266157466 0.117043412 0.058229661 0.056593619
    > d_y3_d_x3 0.003286260 -0.0009362881 0.010295468 0.008670312 0.005780561
    > d_y1_d_x4 -0.013515115 -0.0174971149 0.004292862 0.006071070 -0.031869289
    > d_y2_d_x4 -0.018636944 -0.0272966834 0.109349566 -0.226035857 0.323689999
    > d_y3_d_x4 0.006750156 0.0030050037 0.009799569 -0.019998817 0.035223146
    2841,2842c2836,2837
    < d_y2_d_x1 0.005045995 0.020659975 -0.005272943 0.006362307 0.0016345637
    < d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861011 0.0104287229
    ---
    > d_y2_d_x1 0.005045995 0.020659975 -0.005272943 0.006362306 0.0016345637
    > d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861011 0.0104287230
    2846,2851c2841,2846
    < d_y1_d_x3 0.012810586 0.038935521 -0.026569025 -0.034415007 0.0203614903
    < d_y2_d_x3 -0.001494175 -0.009042767 0.010906091 0.011750887 -0.0012790694
    < d_y3_d_x3 -0.115707444 -0.033758181 -0.005070018 0.269790096 -0.0003293662
    < d_y1_d_x4 0.014530969 -0.013248661 0.027779630 -0.021579035 -0.0380352590
    < d_y2_d_x4 -0.004052314 -0.006683543 0.006676141 -0.008576473 0.0215240879
    < d_y3_d_x4 -0.140717068 -0.047043850 -0.011398290 -0.062068869 0.3283395580
    ---
    > d_y1_d_x3 0.012995623 0.039109456 -0.026546820 -0.034365047 0.0203022784
    > d_y2_d_x3 -0.001160646 -0.008952098 0.011128135 0.011845256 -0.0010329700
    > d_y3_d_x3 -0.115411384 -0.033628655 -0.004892383 0.269923323 -0.0002590520
    > d_y1_d_x4 0.014723408 -0.013026617 0.027794433 -0.021512421 -0.0382276976
    > d_y2_d_x4 -0.003798813 -0.006616929 0.006853777 -0.008450648 0.0215018835
    > d_y3_d_x4 -0.140480220 -0.046881018 -0.011279866 -0.061891233 0.3281471193
    2853c2848
    < d_y1_d_x1 -0.126350552 0.262417202 0.007278989
    ---
    > d_y1_d_x1 -0.126350552 0.262417202 0.007278988
    2859,2864c2854,2859
    < d_y1_d_x3 0.013319901 -0.077788239 0.004004204
    < d_y2_d_x3 0.051382509 0.009558095 -0.035003944
    < d_y3_d_x3 -0.020331884 -0.277589063 0.065273712
    < d_y1_d_x4 0.172413935 -0.140311836 -0.027489122
    < d_y2_d_x4 0.359007268 0.044035146 -0.137558483
    < d_y3_d_x4 -0.018207658 0.209832152 0.061077069
    ---
    > d_y1_d_x3 0.013457753 -0.077825246 0.004099499
    > d_y2_d_x3 0.051489831 0.009633498 -0.034826309
    > d_y3_d_x3 -0.020206059 -0.277626070 0.065458750
    > d_y1_d_x4 0.172610074 -0.140385851 -0.027374399
    > d_y2_d_x4 0.359347737 0.043774243 -0.137573286
    > d_y3_d_x4 -0.017941204 0.209684122 0.061225099
    2876,2881c2871,2876
    < 3: d_y1_d_x3 0.0011362270 0.014465955 0.07854490 0.93739462
    < 3: d_y2_d_x3 -0.1491871870 0.299790130 -0.49763876 0.61873868
    < 3: d_y3_d_x3 0.1853439873 0.366748577 0.50537071 0.61329849
    < 3: d_y1_d_x4 -0.0006208181 0.008406306 -0.07385148 0.94112856
    < 3: d_y2_d_x4 -0.1992018262 0.550687717 -0.36173283 0.71755169
    < 3: d_y3_d_x4 0.1994459164 0.534803310 0.37293321 0.70919815
    ---
    > 3: d_y1_d_x3 0.0011362268 0.014315624 0.07936970 0.93673857
    > 3: d_y2_d_x3 -0.1491871870 0.299756283 -0.49769495 0.61869907
    > 3: d_y3_d_x3 0.1853439871 0.366637489 0.50552383 0.61319097
    > 3: d_y1_d_x4 -0.0006208183 0.008522426 -0.07284525 0.94192926
    > 3: d_y2_d_x4 -0.1992018262 0.550661621 -0.36174997 0.71753888
    > 3: d_y3_d_x4 0.1994459163 0.534517512 0.37313261 0.70904975
    2888,2893c2883,2888
    < mean: d_y1_d_x3 0.1691669427 0.225888523 0.74889570 0.45392007
    < mean: d_y2_d_x3 -0.3354308935 0.163894512 -2.04662675 0.04069475
    < mean: d_y3_d_x3 0.2291505772 0.427299058 0.53627681 0.59176725
    < mean: d_y1_d_x4 -0.1237756934 0.311008993 -0.39798107 0.69064414
    < mean: d_y2_d_x4 -0.3651579860 0.568896683 -0.64187048 0.52095728
    < mean: d_y3_d_x4 0.4305024660 0.437067423 0.98497953 0.32463412
    ---
    > mean: d_y1_d_x3 0.1691669425 0.225934573 0.74874306 0.45401209
    > mean: d_y2_d_x3 -0.3354308937 0.163449508 -2.05219886 0.04015034
    > mean: d_y3_d_x3 0.2291505770 0.427366342 0.53619238 0.59182560
    > mean: d_y1_d_x4 -0.1237756934 0.311131786 -0.39782401 0.69075992
    > mean: d_y2_d_x4 -0.3651579862 0.569043611 -0.64170475 0.52106491
    > mean: d_y3_d_x4 0.4305024659 0.436721569 0.98575957 0.32425111
    2925c2920
    < 9 0.152442974 -0.08913371 0.05744710 -0.100419550 -0.11271553 0.08247915
    ---
    > 9 0.152442974 -0.08913371 0.05744710 -0.100419550 -0.11271554 0.08247915
    2954,2955c2949,2950
    < 6 0.077898816 -0.07584486 0.06505061 -0.052733734 -0.0983536 0.08502351
    < 7 0.086045010 -0.30982678 0.25307025 -0.065460223 -0.3993349 0.33273176
    ---
    > 6 0.077898816 -0.07584485 0.06505061 -0.052733734 -0.0983536 0.08502351
    > 7 0.086045011 -0.30982678 0.25307025 -0.065460223 -0.3993349 0.33273176
    2958c2953
    < 10 0.005925195 -0.14918942 0.14818742 -0.004533173 -0.1992042 0.16558531
    ---
    > 10 0.005925195 -0.14918942 0.14818743 -0.004533173 -0.1992042 0.16558531
    2966,2971c2961,2966
    < [7] "Component 7: Mean relative difference: 0.0001634688"
    < [8] "Component 8: Mean relative difference: 0.0001659607"
    < [9] "Component 9: Mean relative difference: 0.0002713413"
    < [10] "Component 10: Mean relative difference: 0.0001883157"
    < [11] "Component 11: Mean relative difference: 9.769858e-05"
    < [12] "Component 12: Mean relative difference: 0.0002334696"
    ---
    > [7] "Component 7: Mean relative difference: 0.0001634685"
    > [8] "Component 8: Mean relative difference: 0.0001659605"
    > [9] "Component 9: Mean relative difference: 0.0002713412"
    > [10] "Component 10: Mean relative difference: 0.0001883161"
    > [11] "Component 11: Mean relative difference: 9.769861e-05"
    > [12] "Component 12: Mean relative difference: 0.0002334697"
    3024c3019
    < [12] "Component 12: Mean relative difference: 0.007245038"
    ---
    > [12] "Component 12: Mean relative difference: 0.007245039"
    3035,3045c3030,3040
    < 1 2.671114e-01 -0.0018976593 0.0012381527 -0.0898724971 0.0111026042
    < 5 4.804800e-01 0.0669899033 -0.1865386540 -0.2400866049 0.0134390758
    < 10 7.279534e-05 0.0001048122 0.0002842754 -0.0007541722 0.0001431043
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0232684661 0.087126100 -0.0175534083 -0.0452971501 -0.0615084171
    < 5 -0.1876624139 -0.107330929 0.1086699214 0.3287752571 0.0448687063
    < 10 0.0005193529 0.000269181 -0.0001023794 -0.0004080545 -0.0001953799
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.007218395 -0.0251532372
    < 5 -0.242056318 0.1381815585
    < 10 -0.000153797 -0.0005943693
    ---
    > 1 2.671114e-01 -0.001897659 0.0012381527 -0.0898724972 0.0111026042
    > 5 4.804800e-01 0.066989903 -0.1865386538 -0.2400866050 0.0134390757
    > 10 7.279534e-05 0.000104812 0.0002842754 -0.0007541722 0.0001431043
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.0232684661 0.0871270271 -0.0173514905 -0.0453053466 -0.0615087519
    > 5 -0.1876624140 -0.1072915448 0.1086954968 0.3284277562 0.0449074842
    > 10 0.0005193529 0.0002695627 -0.0001024627 -0.0004071313 -0.0001952407
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0069782753 -0.0251646531
    > 5 -0.2420002118 0.1382809232
    > 10 -0.0001539053 -0.0005932655
    3050,3056c3045,3051
    < 1 -0.0018976593 0.1706676 0.003222529 -0.007611475 -0.01922027 -0.015126608
    < 5 0.0669899033 0.3353120 -0.024244382 -0.023043764 -0.06623061 -0.137910505
    < 10 0.0001048122 0.2634495 0.006039631 -0.002325959 0.08898879 0.002116951
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.0073154053 -0.11866613 0.008378752 -1.439950e-03 -0.2780174 0.003001541
    < 5 -0.0910478484 0.08285216 0.178723868 -3.679975e-02 -0.1481450 0.087377535
    < 10 0.0004455381 -0.10892691 -0.001433728 5.975208e-05 -0.2017466 -0.004995112
    ---
    > 1 -0.001897659 0.1706676 0.003222529 -0.007611475 -0.01922027 -0.015126608
    > 5 0.066989903 0.3353120 -0.024244383 -0.023043764 -0.06623061 -0.137910505
    > 10 0.000104812 0.2634495 0.006039631 -0.002325959 0.08898879 0.002116951
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.007315706 -0.1185118 0.008347515 -1.435210e-03 -0.2778544 0.003016481
    > 5 -0.091084366 0.0828829 0.178618168 -3.680357e-02 -0.1481576 0.087378268
    > 10 0.000493143 -0.1089146 -0.001379843 5.835166e-05 -0.2017364 -0.005051618
    3062c3057
    < 5 -0.1865386540 -0.024244382 0.3072387 0.095206563 -0.060415748 0.12725063
    ---
    > 5 -0.1865386538 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
    3065,3067c3060,3062
    < 1 0.018160916 0.009281503 -0.11249533 -0.0056718294 0.002932155 -0.2101611
    < 5 0.030130361 0.026104198 -0.30194495 -0.0224768414 0.180370286 -0.2775403
    < 10 0.001175123 0.002303145 -0.06426598 -0.0005889933 -0.001453441 -0.1052978
    ---
    > 1 0.018159097 0.009080067 -0.11249454 -0.00567175 0.002926144 -0.2101706
    > 5 0.030100238 0.026173001 -0.30172442 -0.02254217 0.180444020 -0.2772860
    > 10 0.001191273 0.002304536 -0.06426513 -0.00043647 -0.001457520 -0.1051227
    3072,3073c3067,3068
    < 1 -0.0898724971 -0.007611475 -0.024097591 0.10986178 -0.02228280 -0.02627183
    < 5 -0.2400866049 -0.023043764 0.095206563 0.23267476 -0.05216925 0.06279416
    ---
    > 1 -0.0898724972 -0.007611475 -0.024097591 0.10986178 -0.02228280 -0.02627183
    > 5 -0.2400866050 -0.023043764 0.095206563 0.23267476 -0.05216925 0.06279416
    3076,3078c3071,3073
    < 1 -0.058175344 0.01313798 0.019139222 0.030287645 0.01740984 0.044876415
    < 5 -0.011411250 -0.01873612 -0.216280913 -0.156770711 0.11137281 -0.041475759
    < 10 -0.002821536 0.00200134 0.005125691 0.001974059 0.00336202 0.008014755
    ---
    > 1 -0.058175429 0.013057235 0.019150077 0.030288171 0.01725109 0.044888881
    > 5 -0.011462620 -0.018698589 -0.216184097 -0.156831775 0.11131507 -0.041557175
    > 10 -0.002824503 0.002001756 0.005117699 0.001971316 0.00336347 0.008002528
    3084,3085c3079,3080
    < 5 0.0134390758 -0.06623061 -0.060415748 -0.05216925 0.1886225 -0.0004257871
    < 10 0.0001431043 0.08898879 -0.003951327 -0.00361963 0.1238768 0.0082323868
    ---
    > 5 0.0134390757 -0.06623061 -0.060415748 -0.05216925 0.1886225 -0.0004257871
    > 10 0.0001431043 0.08898879 -0.003951327 -0.00361963 0.1238768 0.0082323867
    3087,3093c3082,3088
    < 1 0.0058106979 0.02945307 0.0422204318 -0.0033230251 0.0009525859
    < 5 0.0272644230 -0.08513252 0.0835652545 0.0418162813 -0.1134768699
    < 10 0.0005576397 -0.06785855 -0.0001269728 -0.0001592843 -0.1243617927
    < d_y3_d_x4
    < 1 0.044056783
    < 5 0.102656906
    < 10 -0.002565605
    ---
    > 1 0.0058099279 0.02936803 4.221189e-02 -0.0033222126 0.0008094348
    > 5 0.0272786323 -0.08515210 8.360613e-02 0.0417908511 -0.1134354294
    > 10 0.0005950015 -0.06785055 -8.549624e-05 -0.0001680563 -0.1243549737
    > d_y3_d_x4
    > 1 0.044052368
    > 5 0.102497491
    > 10 -0.002606281
    3099,3100c3094,3095
    < 5 -0.1876624139 -0.137910505 0.12725063 0.06279416 -0.0004257871 0.4303697
    < 10 0.0005193529 0.002116951 0.06569682 -0.01075533 0.0082323868 0.1622181
    ---
    > 5 -0.1876624140 -0.137910505 0.12725063 0.06279416 -0.0004257871 0.4303697
    > 10 0.0005193529 0.002116951 0.06569682 -0.01075533 0.0082323867 0.1622181
    3102,3104c3097,3099
    < 1 0.001139074 0.043320376 -0.04575197 -0.004963450 0.040291752 -0.0897614
    < 5 0.024461588 -0.016409967 -0.33972972 -0.099475779 0.252792640 -0.1540017
    < 10 0.001905316 -0.001625921 -0.07123554 -0.001349787 -0.006213746 -0.1170393
    ---
    > 1 0.001140717 0.043384486 -0.04574026 -0.004963502 0.040292742 -0.08977236
    > 5 0.024521697 -0.016429303 -0.33968675 -0.099438861 0.252703411 -0.15394458
    > 10 0.001952299 -0.001624032 -0.07120353 -0.001192549 -0.006214361 -0.11685097
    3109,3111c3104,3106
    < 1 0.087126100 0.0073154053 0.018160916 -0.058175344 0.0058106979 0.001139074
    < 5 -0.107330929 -0.0910478484 0.030130361 -0.011411250 0.0272644230 0.024461588
    < 10 0.000269181 0.0004455381 0.001175123 -0.002821536 0.0005576397 0.001905316
    ---
    > 1 0.0871270271 0.007315706 0.018159097 -0.058175429 0.0058099279 0.001140717
    > 5 -0.1072915448 -0.091084366 0.030100238 -0.011462620 0.0272786323 0.024521697
    > 10 0.0002695627 0.000493143 0.001191273 -0.002824503 0.0005950015 0.001952299
    3113,3119c3108,3114
    < 1 0.052185350 -0.0152589407 -0.025637069 -0.0294376544 -0.0150524316
    < 5 0.351389428 -0.1649345617 -0.117990395 0.2396107909 0.1159987254
    < 10 0.001017447 -0.0004448312 -0.001707917 -0.0007112627 -0.0006702468
    < d_y3_d_x4
    < 1 -0.033763361
    < 5 -0.101115742
    < 10 -0.002515218
    ---
    > 1 0.052186445 -0.0151297513 -0.025646749 -0.029437198 -0.0148938303
    > 5 0.351382199 -0.1650663379 -0.117904178 0.239711594 0.1159836760
    > 10 0.001018486 -0.0004678488 -0.001726268 -0.000711753 -0.0006902437
    > d_y3_d_x4
    > 1 -0.033773829
    > 5 -0.101137100
    > 10 -0.002552456
    3124,3130c3119,3125
    < 1 -0.0175534083 -0.11866613 0.009281503 0.01313798 0.02945307 0.043320376
    < 5 0.1086699214 0.08285216 0.026104198 -0.01873612 -0.08513252 -0.016409967
    < 10 -0.0001023794 -0.10892691 0.002303145 0.00200134 -0.06785855 -0.001625921
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0152589407 0.18701774 -0.032928210 6.198929e-03 0.240651919 -0.039439081
    < 5 -0.1649345617 0.33785819 0.037581766 -1.011388e-01 0.008457871 -0.075531736
    < 10 -0.0004448312 0.08987412 0.001466965 -5.191827e-06 0.156690964 0.003864697
    ---
    > 1 -0.0173514905 -0.1185118 0.009080067 0.013057235 0.02936803 0.043384486
    > 5 0.1086954968 0.0828829 0.026173001 -0.018698589 -0.08515210 -0.016429303
    > 10 -0.0001024627 -0.1089146 0.002304536 0.002001756 -0.06785055 -0.001624032
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0151297513 0.18665206 -0.032581347 6.162623e-03 0.240208643 -0.039119566
    > 5 -0.1650663379 0.33797782 0.037191700 -1.011780e-01 0.008438294 -0.075392389
    > 10 -0.0004678488 0.08985383 0.001419168 -6.380649e-07 0.156662659 0.003899246
    3135,3137c3130,3132
    < 1 -0.0452971501 0.008378752 -0.11249533 0.019139222 0.0422204318
    < 5 0.3287752571 0.178723868 -0.30194495 -0.216280913 0.0835652545
    < 10 -0.0004080545 -0.001433728 -0.06426598 0.005125691 -0.0001269728
    ---
    > 1 -0.0453053466 0.008347515 -0.11249454 0.019150077 4.221189e-02
    > 5 0.3284277562 0.178618168 -0.30172442 -0.216184097 8.360613e-02
    > 10 -0.0004071313 -0.001379843 -0.06426513 0.005117699 -8.549624e-05
    3139,3145c3134,3140
    < 1 -0.04575197 -0.025637069 -0.032928210 0.2221907 0.0145646165 -0.033231093
    < 5 -0.33972972 -0.117990395 0.037581766 0.7046611 0.1418536372 -0.392009565
    < 10 -0.07123554 -0.001707917 0.001466965 0.0775082 0.0009231966 0.005146721
    < d_y3_d_x4
    < 1 0.2723913
    < 5 0.3436310
    < 10 0.1181922
    ---
    > 1 -0.04574026 -0.025646749 -0.032581347 0.22216933 0.0145684749 -0.03324667
    > 5 -0.33968675 -0.117904178 0.037191700 0.70442886 0.1420128834 -0.39168643
    > 10 -0.07120353 -0.001726268 0.001419168 0.07750353 0.0007830003 0.00510837
    > d_y3_d_x4
    > 1 0.2724130
    > 5 0.3431578
    > 10 0.1180128
    3150,3160c3145,3155
    < 1 -0.0615084171 -1.439950e-03 -0.0056718294 0.030287645 -0.0033230251
    < 5 0.0448687063 -3.679975e-02 -0.0224768414 -0.156770711 0.0418162813
    < 10 -0.0001953799 5.975208e-05 -0.0005889933 0.001974059 -0.0001592843
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.004963450 -0.0294376544 6.198929e-03 0.0145646165 0.0216791905
    < 5 -0.099475779 0.2396107909 -1.011388e-01 0.1418536372 0.5352456190
    < 10 -0.001349787 -0.0007112627 -5.191827e-06 0.0009231966 0.0005655482
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0023382373 0.009062048
    < 5 -0.0093255198 -0.143020531
    < 10 -0.0001162172 0.001009214
    ---
    > 1 -0.0615087519 -1.435210e-03 -0.00567175 0.030288171 -0.0033222126
    > 5 0.0449074842 -3.680357e-02 -0.02254217 -0.156831775 0.0417908511
    > 10 -0.0001952407 5.835166e-05 -0.00043647 0.001971316 -0.0001680563
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.004963502 -0.029437198 6.162623e-03 0.0145684749 0.0216792771
    > 5 -0.099438861 0.239711594 -1.011780e-01 0.1420128834 0.5353957063
    > 10 -0.001192549 -0.000711753 -6.380649e-07 0.0007830003 0.0005646205
    > d_y2_d_x4 d_y3_d_x4
    > 1 2.274581e-03 0.0090677567
    > 5 -9.154354e-03 -0.1430645150
    > 10 -6.782968e-05 0.0008214205
    3165,3171c3160,3166
    < 1 -0.007218395 -0.2780174 0.002932155 0.01740984 0.0009525859 0.040291752
    < 5 -0.242056318 -0.1481450 0.180370286 0.11137281 -0.1134768699 0.252792640
    < 10 -0.000153797 -0.2017466 -0.001453441 0.00336202 -0.1243617927 -0.006213746
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0150524316 0.240651919 -0.033231093 0.0023382373 0.6058312 -0.02023155
    < 5 0.1159987254 0.008457871 -0.392009565 -0.0093255198 0.5650991 -0.26253141
    < 10 -0.0006702468 0.156690964 0.005146721 -0.0001162172 0.3032570 0.01094240
    ---
    > 1 -0.0069782753 -0.2778544 0.002926144 0.01725109 0.0008094348 0.040292742
    > 5 -0.2420002118 -0.1481576 0.180444020 0.11131507 -0.1134354294 0.252703411
    > 10 -0.0001539053 -0.2017364 -0.001457520 0.00336347 -0.1243549737 -0.006214361
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0148938303 0.240208643 -0.03324667 2.274581e-03 0.6053376 -0.02029626
    > 5 0.1159836760 0.008438294 -0.39168643 -9.154354e-03 0.5647923 -0.26212238
    > 10 -0.0006902437 0.156662659 0.00510837 -6.782968e-05 0.3032282 0.01105439
    3176,3182c3171,3177
    < 1 -0.0251532372 0.003001541 -0.2101611 0.044876415 0.044056783 -0.0897614
    < 5 0.1381815585 0.087377535 -0.2775403 -0.041475759 0.102656906 -0.1540017
    < 10 -0.0005943693 -0.004995112 -0.1052978 0.008014755 -0.002565605 -0.1170393
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.033763361 -0.039439081 0.2723913 0.009062048 -0.02023155 0.5217897
    < 5 -0.101115742 -0.075531736 0.3436310 -0.143020531 -0.26253141 0.4790538
    < 10 -0.002515218 0.003864697 0.1181922 0.001009214 0.01094240 0.2117212
    ---
    > 1 -0.0251646531 0.003016481 -0.2101706 0.044888881 0.044052368 -0.08977236
    > 5 0.1382809232 0.087378268 -0.2772860 -0.041557175 0.102497491 -0.15394458
    > 10 -0.0005932655 -0.005051618 -0.1051227 0.008002528 -0.002606281 -0.11685097
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.033773829 -0.039119566 0.2724130 0.0090677567 -0.02029626 0.5218449
    > 5 -0.101137100 -0.075392389 0.3431578 -0.1430645150 -0.26212238 0.4782605
    > 10 -0.002552456 0.003899246 0.1180128 0.0008214205 0.01105439 0.2112263
    3192,3223c3187,3218
    < d_y1_d_x3 0.087126100 0.007315405 0.018160916 -0.058175344 0.0058106979
    < d_y2_d_x3 -0.017553408 -0.118666127 0.009281503 0.013137977 0.0294530655
    < d_y3_d_x3 -0.045297150 0.008378752 -0.112495333 0.019139222 0.0422204318
    < d_y1_d_x4 -0.061508417 -0.001439950 -0.005671829 0.030287645 -0.0033230251
    < d_y2_d_x4 -0.007218395 -0.278017404 0.002932155 0.017409836 0.0009525859
    < d_y3_d_x4 -0.025153237 0.003001541 -0.210161104 0.044876415 0.0440567833
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 0.023268466 0.087126100 -0.017553408 -0.045297150 -0.061508417
    < d_y2_d_x1 -0.015126608 0.007315405 -0.118666127 0.008378752 -0.001439950
    < d_y3_d_x1 0.022811267 0.018160916 0.009281503 -0.112495333 -0.005671829
    < d_y1_d_x2 -0.026271829 -0.058175344 0.013137977 0.019139222 0.030287645
    < d_y2_d_x2 -0.008096171 0.005810698 0.029453066 0.042220432 -0.003323025
    < d_y3_d_x2 0.170605098 0.001139074 0.043320376 -0.045751967 -0.004963450
    < d_y1_d_x3 0.001139074 0.052185350 -0.015258941 -0.025637069 -0.029437654
    < d_y2_d_x3 0.043320376 -0.015258941 0.187017735 -0.032928210 0.006198929
    < d_y3_d_x3 -0.045751967 -0.025637069 -0.032928210 0.222190691 0.014564616
    < d_y1_d_x4 -0.004963450 -0.029437654 0.006198929 0.014564616 0.021679190
    < d_y2_d_x4 0.040291752 -0.015052432 0.240651919 -0.033231093 0.002338237
    < d_y3_d_x4 -0.089761399 -0.033763361 -0.039439081 0.272391291 0.009062048
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.0072183953 -0.025153237
    < d_y2_d_x1 -0.2780174039 0.003001541
    < d_y3_d_x1 0.0029321547 -0.210161104
    < d_y1_d_x2 0.0174098357 0.044876415
    < d_y2_d_x2 0.0009525859 0.044056783
    < d_y3_d_x2 0.0402917519 -0.089761399
    < d_y1_d_x3 -0.0150524316 -0.033763361
    < d_y2_d_x3 0.2406519194 -0.039439081
    < d_y3_d_x3 -0.0332310935 0.272391291
    < d_y1_d_x4 0.0023382373 0.009062048
    < d_y2_d_x4 0.6058311653 -0.020231553
    < d_y3_d_x4 -0.0202315530 0.521789698
    ---
    > d_y1_d_x3 0.087127027 0.007315706 0.018159097 -0.058175429 0.0058099279
    > d_y2_d_x3 -0.017351490 -0.118511805 0.009080067 0.013057235 0.0293680342
    > d_y3_d_x3 -0.045305347 0.008347515 -0.112494538 0.019150077 0.0422118898
    > d_y1_d_x4 -0.061508752 -0.001435210 -0.005671750 0.030288171 -0.0033222126
    > d_y2_d_x4 -0.006978275 -0.277854366 0.002926144 0.017251086 0.0008094348
    > d_y3_d_x4 -0.025164653 0.003016481 -0.210170649 0.044888881 0.0440523685
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 0.023268466 0.087127027 -0.017351490 -0.045305347 -0.061508752
    > d_y2_d_x1 -0.015126608 0.007315706 -0.118511805 0.008347515 -0.001435210
    > d_y3_d_x1 0.022811267 0.018159097 0.009080067 -0.112494538 -0.005671750
    > d_y1_d_x2 -0.026271829 -0.058175429 0.013057235 0.019150077 0.030288171
    > d_y2_d_x2 -0.008096171 0.005809928 0.029368034 0.042211890 -0.003322213
    > d_y3_d_x2 0.170605098 0.001140717 0.043384486 -0.045740261 -0.004963502
    > d_y1_d_x3 0.001140717 0.052186445 -0.015129751 -0.025646749 -0.029437198
    > d_y2_d_x3 0.043384486 -0.015129751 0.186652060 -0.032581347 0.006162623
    > d_y3_d_x3 -0.045740261 -0.025646749 -0.032581347 0.222169334 0.014568475
    > d_y1_d_x4 -0.004963502 -0.029437198 0.006162623 0.014568475 0.021679277
    > d_y2_d_x4 0.040292742 -0.014893830 0.240208643 -0.033246673 0.002274581
    > d_y3_d_x4 -0.089772356 -0.033773829 -0.039119566 0.272412971 0.009067757
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.0069782753 -0.025164653
    > d_y2_d_x1 -0.2778543662 0.003016481
    > d_y3_d_x1 0.0029261437 -0.210170649
    > d_y1_d_x2 0.0172510865 0.044888881
    > d_y2_d_x2 0.0008094348 0.044052368
    > d_y3_d_x2 0.0402927423 -0.089772356
    > d_y1_d_x3 -0.0148938303 -0.033773829
    > d_y2_d_x3 0.2402086433 -0.039119566
    > d_y3_d_x3 -0.0332466734 0.272412971
    > d_y1_d_x4 0.0022745814 0.009067757
    > d_y2_d_x4 0.6053376120 -0.020296258
    > d_y3_d_x4 -0.0202962576 0.521844880
    3228,3229c3223,3224
    < 1 0.237119196 -0.0042905706 -0.004537520 -0.16362764 0.021246739 0.05309042
    < 5 0.279256250 0.0130994341 -0.042653983 -0.18347254 0.006690779 -0.05041527
    ---
    > 1 0.237119196 -0.0042905705 -0.004537520 -0.16362764 0.021246739 0.05309042
    > 5 0.279256250 0.0130994340 -0.042653983 -0.18347254 0.006690779 -0.05041527
    3231,3234c3226,3233
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.11544498 -0.016808777 -0.049299453 -0.08098591 4.529710e-03 0.003796963
    < 5 0.04684031 0.021016522 0.092770236 -0.02615685 -4.027889e-02 0.032862602
    < 10 -0.01939560 0.001335043 0.008648637 0.01514344 -3.330669e-05 -0.000577316
    ---
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.11544880 -0.016286972 -0.049332760 -0.08098175 4.840572e-03
    > 5 0.04682366 0.021016522 0.092581498 -0.02604583 -4.027889e-02
    > 10 -0.01938449 0.001389167 0.008526513 0.01518785 -3.885781e-05
    > d_y3_d_x4
    > 1 0.0037525538
    > 5 0.0331734640
    > 10 -0.0007105427
    3241c3240
    < 10 3.416534e-05 -6.254719e-06 -8.454526e-05 0.0000000 0.000000000 0.00000000
    ---
    > 10 3.416556e-05 -6.254719e-06 -8.454504e-05 0.0000000 0.000000000 0.00000000
    3243,3245c3242,3244
    < 1 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
    < 5 0.04652945 0.02086109 0.0926148 -0.02597922 -0.04019007 0.03295142
    < 10 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
    ---
    > 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > 5 0.04666822 0.02086109 0.09242607 -0.02595701 -0.04019007 0.03326228
    > 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    3250,3256c3249,3255
    < 1 0.2371192 -0.004290571 -0.00453752 0.03892668 -0.004881742 -0.01711139
    < 5 0.0000000 0.000000000 0.00000000 0.24661116 -0.058139940 -0.14174766
    < 10 0.0000000 0.000000000 0.00000000 0.05122359 -0.004908095 -0.02281777
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.1154693 -0.01680878 -0.04933831 -0.08099979 0.00452971 0.003819167
    < 5 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
    < 10 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
    ---
    > 1 0.2371192 -0.00429057 -0.00453752 0.03892668 -0.004881742 -0.01711139
    > 5 0.0000000 0.00000000 0.00000000 0.24661116 -0.058139940 -0.14174766
    > 10 0.0000000 0.00000000 0.00000000 0.05122359 -0.004908095 -0.02281777
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.1154731 -0.01628697 -0.04937162 -0.08099563 0.004840572 0.003774758
    > 5 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
    > 10 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
    3261,3262c3260,3261
    < 1 -0.253201499 0.0045815731 0.004845272 0.1747255 -0.022687772 -0.05669121
    < 5 -0.174546122 -0.0081876607 0.026660415 0.1146775 -0.004182000 0.03151152
    ---
    > 1 -0.253201499 0.0045815729 0.004845272 0.1747255 -0.022687772 -0.05669121
    > 5 -0.174546122 -0.0081876608 0.026660414 0.1146775 -0.004182000 0.03151152
    3265,3267c3264,3266
    < 1 -0.08438163 0.013903232 0.035626979 0.08649192 -3.730349e-03 -0.003985701
    < 5 0.40133447 -0.078264418 -0.149652401 0.01627587 2.549072e-02 -0.020827784
    < 10 -0.01912249 0.001535543 0.008955663 0.01736389 -5.551115e-06 -0.001598721
    ---
    > 1 -0.08437642 0.014336219 0.035596448 0.08650164 -3.774758e-03 -0.004019007
    > 5 0.40105691 -0.078108987 -0.149774526 0.01605382 2.540190e-02 -0.020961011
    > 10 -0.01912249 0.001521665 0.008955663 0.01736389 -1.665335e-05 -0.001598721
    3273c3272
    < 5 0.229431652 1.076225e-02 -0.0350437056 -0.15073756 0.005497018 -0.04142023
    ---
    > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018 -0.04142023
    3276,3282c3275,3281
    < 1 0.04926077 -0.0080380147 -0.021080360 0.0043827839 -0.0036382917
    < 5 0.03791967 0.0179078974 0.077438056 0.4085675703 -0.0980041830
    < 10 0.00667244 -0.0005467848 -0.003885781 -0.0008593215 -0.0002061194
    < d_y3_d_x4
    < 1 -0.01536834
    < 5 -0.06331036
    < 10 -0.00201334
    ---
    > 1 0.049267708 -0.0072386541 -0.021049829 0.0043827839 -0.0029277489
    > 5 0.037997383 0.0179078974 0.077016171 0.4085231613 -0.0980041830
    > 10 0.006949996 -0.0005273559 -0.003608225 -0.0008149126 -0.0002172217
    > d_y3_d_x4
    > 1 -0.015335034
    > 5 -0.063576810
    > 10 -0.001968931
    3287,3293c3286,3292
    < 1 -0.006704915 -0.2093069 -0.01110603 0.02359868 -0.07427991 -0.01969025
    < 5 -0.046817607 0.0601708 0.02411969 0.01982570 -0.11310591 0.01951730
    < 10 0.000149237 0.2197046 0.01077585 -0.00348749 0.13273560 0.01049971
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0138004191 0.24436009 0.02650935 0.0034514058 0.31770142 0.02619016
    < 5 0.0205724326 0.05356826 -0.03735900 0.0321964677 0.06363798 -0.03681500
    < 10 0.0009214851 -0.22632729 -0.01032507 0.0001332268 -0.30196956 -0.01181277
    ---
    > 1 -0.0067049148 -0.2093069 -0.01110603 0.02359868 -0.07427991 -0.01969025
    > 5 -0.0468176067 0.0601708 0.02411969 0.01982570 -0.11310591 0.01951730
    > 10 0.0001492367 0.2197046 0.01077585 -0.00348749 0.13273560 0.01049971
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0138023273 0.24398261 0.02654821 0.0034493242 0.31725733 0.02616796
    > 5 0.0206390460 0.05356826 -0.03760325 0.0322852856 0.06363798 -0.03708145
    > 10 0.0008881784 -0.22631341 -0.01020295 0.0003552714 -0.30195846 -0.01167955
    3300c3299
    < 10 -2.589928e-06 0.3469243 0.014366786 0.0000000 0.0000000 0.0000000
    ---
    > 10 -2.590150e-06 0.3469243 0.014366785 0.0000000 0.0000000 0.0000000
    3302,3304c3301,3303
    < 1 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
    < 5 0.02063349 0.05384582 -0.0373257 0.03226308 0.06368239 -0.03703704
    < 10 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
    ---
    > 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > 5 0.02082223 0.05372369 -0.03748113 0.03248513 0.06354917 -0.03694822
    > 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    3313c3312
    < 1 -0.01380042 0.2443601 0.02650935 0.003451406 0.3177014 0.02619016
    ---
    > 1 -0.01380233 0.2439826 0.02654821 0.003449324 0.3172573 0.02616796
    3322c3321
    < 10 0.0001871153 0.27546887 0.01351092 -0.004372667 0.16642588 0.01316469
    ---
    > 10 0.0001871152 0.27546887 0.01351092 -0.004372667 0.16642588 0.01316469
    3324,3326c3323,3325
    < 1 0.0112606443 0.06748226 -0.01354575 -0.00368594 -0.3398171 -0.02778888
    < 5 -0.0744276980 0.37226051 0.05805901 -0.02002842 -0.0393019 0.02291500
    < 10 0.0007363513 -0.15661433 -0.00928765 0.00000000 -0.3787415 -0.01492140
    ---
    > 1 0.0112602974 0.06748226 -0.013584606 -3.665124e-03 -0.33981706 -0.02776668
    > 5 -0.0745276181 0.37223831 0.057614917 -1.989520e-02 -0.03903544 0.02291500
    > 10 0.0008473737 -0.15659907 -0.009309854 8.881784e-05 -0.37872483 -0.01501022
    3331c3330
    < 1 -2.859406e-03 -0.08926191 -0.004736324 0.010063992 -0.03167772 -0.008397189
    ---
    > 1 -2.859406e-03 -0.08926191 -0.004736324 0.010063992 -0.03167772 -0.008397188
    3333c3332
    < 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326888 -0.05050205 -0.003994835
    ---
    > 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326889 -0.05050205 -0.003994835
    3335,3337c3334,3336
    < 1 -0.0058904270 0.10428325 0.011438073 -0.0020370519 0.4647645 0.025786678
    < 5 0.0169919634 0.04414247 -0.031530334 -0.0349370650 0.4576700 0.003125170
    < 10 -0.0002331468 0.08609502 0.004019007 -0.0003738717 0.2420501 0.007943012
    ---
    > 1 -5.891121e-03 0.10417223 0.011429746 -0.0020287253 0.4646756 0.025842189
    > 5 1.678657e-02 0.04400924 -0.031175063 -0.0350480873 0.4574923 0.003835713
    > 10 -2.220446e-05 0.08605894 0.004107825 0.0001146264 0.2420390 0.008298283
    3342,3348c3341,3347
    < 1 -0.0232567723 -0.011015572 -0.1591526 0.04568840 -0.015580858 -0.12588268
    < 5 -0.0739470343 -0.007314459 0.2213006 0.06229383 -0.013690362 0.05968877
    < 10 0.0008188515 0.011466788 0.1311974 -0.01094591 0.009654283 0.15417144
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.028612529 0.025068836 0.2423811 0.011737833 0.02495781 0.2854494
    < 5 -0.034994230 0.003708145 -0.1472489 -0.033750780 0.03153033 -0.2557510
    < 10 0.004041212 -0.010072498 -0.2164824 -0.001953993 -0.01213474 -0.2395861
    ---
    > 1 -0.0232567722 -0.011015572 -0.1591526 0.04568840 -0.015580858 -0.12588268
    > 5 -0.0739470342 -0.007314459 0.2213006 0.06229383 -0.013690362 0.05968877
    > 10 0.0008188513 0.011466788 0.1311974 -0.01094591 0.009654283 0.15417144
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.028605590 0.025801583 0.2423811 0.01173783 0.02504663 0.2854494
    > 5 -0.035038639 0.003830269 -0.1468270 -0.03392842 0.03166356 -0.2554845
    > 10 0.004118927 -0.010071111 -0.2165268 -0.00164313 -0.01217360 -0.2394085
    3357,3359c3356,3358
    < 1 0.00000000 0.000000000 0.0000000 0.00000000 0.00000000 0.000000
    < 5 -0.03499423 0.003708145 -0.1472489 -0.03375078 0.03153033 -0.255751
    < 10 0.00000000 0.000000000 0.0000000 0.00000000 0.00000000 0.000000
    ---
    > 1 0.00000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
    > 5 -0.03503864 0.003830269 -0.146827 -0.03392842 0.03166356 -0.2554845
    > 10 0.00000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
    3366c3365
    < 10 0.00000000 0.00000000 0.0000000 -0.011769192 0.01311946 0.2955153
    ---
    > 10 0.00000000 0.00000000 0.0000000 -0.011769193 0.01311946 0.2955153
    3368c3367
    < 1 -0.02861253 0.02506884 0.2423811 0.01173783 0.02495781 0.2854494
    ---
    > 1 -0.02860559 0.02580158 0.2423811 0.01173783 0.02504663 0.2854494
    3375c3374
    < 1 0.024834133 0.011762688 0.1699469 -0.04878715 0.016637610 0.13442051
    ---
    > 1 0.024834133 0.011762689 0.1699469 -0.04878715 0.016637610 0.13442051
    3379,3381c3378,3380
    < 1 0.022109401 -0.011125710 0.0008492073 -0.012528867 -0.02509104 -0.3048117
    < 5 -0.102890193 0.045821809 0.4576165498 0.020805579 -0.02056133 0.1606715
    < 10 0.002940371 -0.009201082 -0.1310826416 -0.002353673 -0.01531553 -0.3006484
    ---
    > 1 0.022109401 -0.011103506 0.0008464317 -0.012528867 -0.02535749 -0.3048228
    > 5 -0.102906847 0.045699685 0.4576054475 0.020916602 -0.02069456 0.1606271
    > 10 0.003317847 -0.009184429 -0.1307384724 -0.001909584 -0.01529332 -0.2999823
    3386c3385
    < 1 -0.0099181813 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
    ---
    > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
    3388c3387
    < 10 -0.0003115492 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
    ---
    > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
    3390,3392c3389,3391
    < 1 -0.012216790 0.010702550 0.10342560 -0.0034860966 0.025611570 0.3815530
    < 5 -0.028965719 0.003474998 -0.11998180 -0.1524561002 0.074898550 0.1554805
    < 10 -0.002309264 0.003856637 0.08156809 -0.0008232847 0.008144765 0.2320713
    ---
    > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
    > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
    > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
    3398,3407c3397,3406
    < 5 -0.2627469939 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
    < 10 0.0002986816 -0.0001412115 5.869416e-06 -0.0079378151 0.006272141
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.057426766 0.044658027 -0.029221070 -0.0314914761 -0.0024508173
    < 5 0.165725303 0.359984265 -0.353428398 -0.2034039603 0.3655964420
    < 10 0.005869358 0.001887379 -0.001067202 -0.0004107825 0.0004440892
    < d_y2_d_x4 d_y3_d_x4
    < 1 7.460699e-03 -0.0081934459
    < 5 2.866152e-01 -0.1066258193
    < 10 -5.551115e-06 -0.0002220446
    ---
    > 5 -0.2627469940 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
    > 10 0.0002986817 -0.0001412116 5.869527e-06 -0.0079378150 0.006272141
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.057426766 0.044659935 -0.029354297 -0.031555314 -0.0024487357 7.283063e-03
    > 5 0.165725303 0.360245167 -0.353705953 -0.202970973 0.3657518732 2.865708e-01
    > 10 0.005869358 0.001720846 -0.001033895 -0.000577316 0.0004884981 3.885781e-05
    > d_y3_d_x4
    > 1 -0.0082711615
    > 5 -0.1066702282
    > 10 -0.0001776357
    3412,3418c3411,3417
    < 1 -0.03036766 -0.0028628583 -0.046038902 0.16796613 -0.014779641 0.11986384
    < 5 -0.13515076 -0.1522331796 -0.008299913 0.21839363 -0.004554075 0.33427476
    < 10 -0.00310063 0.0001322237 -0.002880124 0.04099705 -0.003285345 0.03256694
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.10554595 0.0114908083 -0.08226753 0.023814978 0.0026201263 0.030375702
    < 5 -0.17430501 -0.0339395179 -0.40326631 -0.447464288 0.1729727472 0.091526786
    < 10 -0.01397771 0.0008965051 -0.01231237 0.004840572 0.0002109424 0.005107026
    ---
    > 1 -0.03036766 -0.0028628581 -0.046038902 0.16796613 -0.014779641 0.11986384
    > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
    > 10 -0.00310063 0.0001322236 -0.002880124 0.04099705 -0.003285345 0.03256694
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.10554595 0.0111022302 -0.08223699 0.023814978 0.0021316282 0.030409009
    > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937 0.091260333
    > 10 -0.01385558 0.0008895662 -0.01219025 0.004973799 0.0002720046 0.005240253
    3423,3429c3422,3428
    < 1 -4.065696e-04 0.1000440 -0.1147518 0.013416950 0.14424394 -0.20173175
    < 5 1.095618e-01 0.1914696 -0.2351233 -0.047457799 0.19609338 -0.26047393
    < 10 -5.019241e-05 0.1066395 -0.1269163 0.000569624 0.08873839 -0.08386716
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0050648721 -0.22104540 0.27917391 -0.0002144118 -0.26423308 0.3409606
    < 5 -0.0632494057 -0.23672175 0.42515991 -0.0561772850 -0.46087578 0.5182965
    < 10 -0.0006106227 -0.08063689 0.07922552 0.0003996803 -0.09792722 0.0980549
    ---
    > 1 -4.065696e-04 0.1000440 -0.1147518 0.0134169502 0.14424394 -0.20173175
    > 5 1.095618e-01 0.1914696 -0.2351233 -0.0474577987 0.19609338 -0.26047393
    > 10 -5.019252e-05 0.1066395 -0.1269163 0.0005696241 0.08873839 -0.08386716
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0050676477 -0.22102320 0.27909619 -0.0002144118 -0.26449953 0.34100500
    > 5 -0.0632993657 -0.23672175 0.42520432 -0.0563771252 -0.46087578 0.51776361
    > 10 -0.0002664535 -0.08062023 0.07956968 0.0000000000 -0.09790502 0.09765522
    3434c3433
    < d_y2_d_x1 -0.004290571 -0.009172312 -0.004290571 0.004581573 -0.001829775
    ---
    > d_y2_d_x1 -0.004290570 -0.009172312 -0.004290570 0.004581573 -0.001829775
    3439,3444c3438,3443
    < d_y1_d_x3 0.115444980 0.000000000 0.115469266 -0.084381629 0.049260769
    < d_y2_d_x3 -0.016808777 0.000000000 -0.016808777 0.013903232 -0.008038015
    < d_y3_d_x3 -0.049299453 0.000000000 -0.049338311 0.035626979 -0.021080360
    < d_y1_d_x4 -0.080985912 0.000000000 -0.080999790 0.086491925 0.004382784
    < d_y2_d_x4 0.004529710 0.000000000 0.004529710 -0.003730349 -0.003638292
    < d_y3_d_x4 0.003796963 0.000000000 0.003819167 -0.003985701 -0.015368340
    ---
    > d_y1_d_x3 0.115448796 0.000000000 0.115473082 -0.084376424 0.049267708
    > d_y2_d_x3 -0.016286972 0.000000000 -0.016286972 0.014336219 -0.007238654
    > d_y3_d_x3 -0.049332760 0.000000000 -0.049371618 0.035596448 -0.021049829
    > d_y1_d_x4 -0.080981749 0.000000000 -0.080995627 0.086501639 0.004382784
    > d_y2_d_x4 0.004840572 0.000000000 0.004840572 -0.003774758 -0.002927749
    > d_y3_d_x4 0.003752554 0.000000000 0.003774758 -0.004019007 -0.015335034
    3451,3457c3450,3456
    < d_y3_d_x2 -0.019690253 0.000000000 0.014673346 0.021025719 -0.008397189
    < d_y1_d_x3 -0.013800419 0.000000000 -0.013800419 0.011260644 -0.005890427
    < d_y2_d_x3 0.244360088 0.000000000 0.244360088 0.067482259 0.104283249
    < d_y3_d_x3 0.026509350 0.000000000 0.026509350 -0.013545748 0.011438073
    < d_y1_d_x4 0.003451406 0.000000000 0.003451406 -0.003685940 -0.002037052
    < d_y2_d_x4 0.317701421 0.000000000 0.317701421 -0.339817063 0.464764466
    < d_y3_d_x4 0.026190161 0.000000000 0.026190161 -0.027788882 0.025786678
    ---
    > d_y3_d_x2 -0.019690253 0.000000000 0.014673346 0.021025719 -0.008397188
    > d_y1_d_x3 -0.013802327 0.000000000 -0.013802327 0.011260297 -0.005891121
    > d_y2_d_x3 0.243982612 0.000000000 0.243982612 0.067482259 0.104172226
    > d_y3_d_x3 0.026548208 0.000000000 0.026548208 -0.013584606 0.011429746
    > d_y1_d_x4 0.003449324 0.000000000 0.003449324 -0.003665124 -0.002028725
    > d_y2_d_x4 0.317257332 0.000000000 0.317257332 -0.339817063 0.464675648
    > d_y3_d_x4 0.026167957 0.000000000 0.026167957 -0.027766678 0.025842189
    3459,3460c3458,3459
    < d_y1_d_x1 -0.02325677 -0.031727076 -0.023256772 0.0248341328 -0.009918181
    < d_y2_d_x1 -0.01101557 0.003760221 -0.011015572 0.0117626884 -0.004697747
    ---
    > d_y1_d_x1 -0.02325677 -0.031727076 -0.023256772 0.0248341329 -0.009918181
    > d_y2_d_x1 -0.01101557 0.003760221 -0.011015572 0.0117626887 -0.004697747
    3465,3470c3464,3469
    < d_y1_d_x3 -0.02861253 0.000000000 -0.028612529 0.0221094014 -0.012216790
    < d_y2_d_x3 0.02506884 0.000000000 0.025068836 -0.0111257101 0.010702550
    < d_y3_d_x3 0.24238112 0.000000000 0.242381115 0.0008492073 0.103425601
    < d_y1_d_x4 0.01173783 0.000000000 0.011737833 -0.0125288668 -0.003486097
    < d_y2_d_x4 0.02495781 0.000000000 0.024957814 -0.0250910404 0.025611570
    < d_y3_d_x4 0.28544944 0.000000000 0.285449442 -0.3048117314 0.381553009
    ---
    > d_y1_d_x3 -0.02860559 0.000000000 -0.028605590 0.0221094014 -0.012217484
    > d_y2_d_x3 0.02580158 0.000000000 0.025801583 -0.0111035056 0.010580425
    > d_y3_d_x3 0.24238112 0.000000000 0.242381115 0.0008464317 0.103497766
    > d_y1_d_x4 0.01173783 0.000000000 0.011737833 -0.0125288668 -0.003483321
    > d_y2_d_x4 0.02504663 0.000000000 0.025046631 -0.0253574939 0.025478343
    > d_y3_d_x4 0.28544944 0.000000000 0.285449442 -0.3048228336 0.381575213
    3478,3483c3477,3482
    < d_y1_d_x3 0.044658027 -0.105545954 -0.0050648721
    < d_y2_d_x3 -0.029221070 0.011490808 -0.2210454042
    < d_y3_d_x3 -0.031491476 -0.082267526 0.2791739062
    < d_y1_d_x4 -0.002450817 0.023814978 -0.0002144118
    < d_y2_d_x4 0.007460699 0.002620126 -0.2642330799
    < d_y3_d_x4 -0.008193446 0.030375702 0.3409605931
    ---
    > d_y1_d_x3 0.044659935 -0.105545954 -0.0050676477
    > d_y2_d_x3 -0.029354297 0.011102230 -0.2210231997
    > d_y3_d_x3 -0.031555314 -0.082236995 0.2790961906
    > d_y1_d_x4 -0.002448736 0.023814978 -0.0002144118
    > d_y2_d_x4 0.007283063 0.002131628 -0.2644995334
    > d_y3_d_x4 -0.008271162 0.030409009 0.3410050020
    3492,3494c3491,3493
    < 1: d_y1_d_x3 0.049373 0.228441 0.216 0.829
    < 1: d_y2_d_x3 -0.384962 0.432455 -0.890 0.373
    < 1: d_y3_d_x3 0.244210 0.471371 0.518 0.604
    ---
    > 1: d_y1_d_x3 0.049373 0.228444 0.216 0.829
    > 1: d_y2_d_x3 -0.384962 0.432032 -0.891 0.373
    > 1: d_y3_d_x3 0.244210 0.471348 0.518 0.604
    3496,3497c3495,3496
    < 1: d_y2_d_x4 -0.504205 0.778352 -0.648 0.517
    < 1: d_y3_d_x4 0.301966 0.722350 0.418 0.676
    ---
    > 1: d_y2_d_x4 -0.504205 0.778034 -0.648 0.517
    > 1: d_y3_d_x4 0.301966 0.722388 0.418 0.676
    3504,3509c3503,3508
    < 2: d_y1_d_x3 0.538961 0.592781 0.909 0.363
    < 2: d_y2_d_x3 -0.523912 0.581256 -0.901 0.367
    < 2: d_y3_d_x3 0.231992 0.839441 0.276 0.782
    < 2: d_y1_d_x4 -0.395069 0.731605 -0.540 0.589
    < 2: d_y2_d_x4 -0.538713 0.751731 -0.717 0.474
    < 2: d_y3_d_x4 0.455530 0.692137 0.658 0.510
    ---
    > 2: d_y1_d_x3 0.538961 0.592775 0.909 0.363
    > 2: d_y2_d_x3 -0.523912 0.581359 -0.901 0.367
    > 2: d_y3_d_x3 0.231992 0.839303 0.276 0.782
    > 2: d_y1_d_x4 -0.395069 0.731707 -0.540 0.589
    > 2: d_y2_d_x4 -0.538713 0.751527 -0.717 0.473
    > 2: d_y3_d_x4 0.455530 0.691564 0.659 0.510
    3516,3521c3515,3520
    < 3: d_y1_d_x3 0.005969 0.031897 0.187 0.852
    < 3: d_y2_d_x3 -0.149187 0.299790 -0.498 0.619
    < 3: d_y3_d_x3 0.148226 0.278403 0.532 0.594
    < 3: d_y1_d_x4 -0.004570 0.023781 -0.192 0.848
    < 3: d_y2_d_x4 -0.199202 0.550688 -0.362 0.718
    < 3: d_y3_d_x4 0.165549 0.460132 0.360 0.719
    ---
    > 3: d_y1_d_x3 0.005969 0.031914 0.187 0.852
    > 3: d_y2_d_x3 -0.149187 0.299756 -0.498 0.619
    > 3: d_y3_d_x3 0.148226 0.278395 0.532 0.594
    > 3: d_y1_d_x4 -0.004570 0.023762 -0.192 0.848
    > 3: d_y2_d_x4 -0.199202 0.550662 -0.362 0.718
    > 3: d_y3_d_x4 0.165549 0.459594 0.360 0.719
    3562,3575c3561,3574
    < 1 2.671114e-01 -0.0018976593 0.0012381527 -0.0898724971 0.0111026042
    < 5 4.804800e-01 0.0669899033 -0.1865386540 -0.2400866049 0.0134390758
    < 10 7.279534e-05 0.0001048122 0.0002842754 -0.0007541722 0.0001431043
    < mean 1.415407e-01 0.0064609911 -0.0348547379 -0.0573521650 0.0054981909
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0232684661 0.087126100 -0.0175534083 -0.0452971501 -0.0615084171
    < 5 -0.1876624139 -0.107330929 0.1086699214 0.3287752571 0.0448687063
    < 10 0.0005193529 0.000269181 -0.0001023794 -0.0004080545 -0.0001953799
    < mean -0.0317096952 -0.002180007 0.0082074561 0.0472654766 -0.0012254473
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.007218395 -0.0251532372
    < 5 -0.242056318 0.1381815585
    < 10 -0.000153797 -0.0005943693
    < mean -0.043417474 0.0119385834
    ---
    > 1 2.671114e-01 -0.001897659 0.0012381527 -0.0898724972 0.0111026042
    > 5 4.804800e-01 0.066989903 -0.1865386538 -0.2400866050 0.0134390757
    > 10 7.279534e-05 0.000104812 0.0002842754 -0.0007541722 0.0001431043
    > mean 1.415407e-01 0.006460991 -0.0348547378 -0.0573521650 0.0054981909
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.0232684661 0.0871270271 -0.0173514905 -0.0453053466 -0.0615087519
    > 5 -0.1876624140 -0.1072915448 0.1086954968 0.3284277562 0.0449074842
    > 10 0.0005193529 0.0002695627 -0.0001024627 -0.0004071313 -0.0001952407
    > mean -0.0317096952 -0.0021453299 0.0082663373 0.0472242051 -0.0012198391
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0069782753 -0.0251646531
    > 5 -0.2420002118 0.1382809232
    > 10 -0.0001539053 -0.0005932655
    > mean -0.0433438979 0.0119531378
    3579,3593c3578,3592
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
    < 1 -0.0018976593 0.1706676 0.003222529 -0.007611475 -0.019220268
    < 5 0.0669899033 0.3353120 -0.024244382 -0.023043764 -0.066230609
    < 10 0.0001048122 0.2634495 0.006039631 -0.002325959 0.088988794
    < mean 0.0064609911 0.1487773 -0.009259879 -0.003117154 -0.001428115
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.015126608 0.0073154053 -0.118666127 0.008378752 -1.439950e-03
    < 5 -0.137910505 -0.0910478484 0.082852157 0.178723868 -3.679975e-02
    < 10 0.002116951 0.0004455381 -0.108926907 -0.001433728 5.975208e-05
    < mean -0.038992651 -0.0144554439 0.001839177 0.048537698 -5.334904e-03
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.2780174 0.003001541
    < 5 -0.1481450 0.087377535
    < 10 -0.2017466 -0.004995112
    < mean -0.1055978 0.033238541
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
    > 1 -0.001897659 0.1706676 0.003222529 -0.007611475 -0.019220268 -0.015126608
    > 5 0.066989903 0.3353120 -0.024244383 -0.023043764 -0.066230609 -0.137910505
    > 10 0.000104812 0.2634495 0.006039631 -0.002325959 0.088988794 0.002116951
    > mean 0.006460991 0.1487773 -0.009259879 -0.003117154 -0.001428115 -0.038992651
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.007315706 -0.118511805 0.008347515 -1.435210e-03 -0.2778544
    > 5 -0.091084366 0.082882900 0.178618168 -3.680357e-02 -0.1481576
    > 10 0.000493143 -0.108914604 -0.001379843 5.835166e-05 -0.2017364
    > mean -0.014430630 0.001858887 0.048502770 -5.339526e-03 -0.1055772
    > d_y3_d_x4
    > 1 0.003016481
    > 5 0.087378268
    > 10 -0.005051618
    > mean 0.033193948
    3599c3598
    < 5 -0.1865386540 -0.024244382 0.3072387 0.095206563 -0.060415748 0.12725063
    ---
    > 5 -0.1865386538 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
    3601c3600
    < mean -0.0348547379 -0.009259879 0.1005792 0.011532132 -0.025381502 0.02335124
    ---
    > mean -0.0348547378 -0.009259879 0.1005792 0.011532132 -0.025381502 0.02335124
    3603,3606c3602,3605
    < 1 0.018160916 0.009281503 -0.11249533 -0.0056718294 0.002932155 -0.21016110
    < 5 0.030130361 0.026104198 -0.30194495 -0.0224768414 0.180370286 -0.27754032
    < 10 0.001175123 0.002303145 -0.06426598 -0.0005889933 -0.001453441 -0.10529779
    < mean 0.001909951 0.027437833 -0.05351024 0.0032096212 0.048819544 -0.08764992
    ---
    > 1 0.018159097 0.009080067 -0.11249454 -0.005671750 0.002926144 -0.21017065
    > 5 0.030100238 0.026173001 -0.30172442 -0.022542174 0.180444020 -0.27728605
    > 10 0.001191273 0.002304536 -0.06426513 -0.000436470 -0.001457520 -0.10512274
    > mean 0.001896839 0.027442481 -0.05347400 0.003245395 0.048833017 -0.08756019
    3611,3612c3610,3611
    < 1 -0.0898724971 -0.007611475 -0.024097591 0.10986178 -0.02228280
    < 5 -0.2400866049 -0.023043764 0.095206563 0.23267476 -0.05216925
    ---
    > 1 -0.0898724972 -0.007611475 -0.024097591 0.10986178 -0.02228280
    > 5 -0.2400866050 -0.023043764 0.095206563 0.23267476 -0.05216925
    3616,3624c3615,3623
    < 1 -0.026271829 -0.058175344 0.0131379770 0.019139222 0.030287645
    < 5 0.062794165 -0.011411250 -0.0187361193 -0.216280913 -0.156770711
    < 10 -0.010755334 -0.002821536 0.0020013398 0.005125691 0.001974059
    < mean 0.003498611 -0.010881759 0.0003248657 -0.042711520 -0.031765630
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.01740984 0.044876415
    < 5 0.11137281 -0.041475759
    < 10 0.00336202 0.008014755
    < mean 0.02132602 0.007958684
    ---
    > 1 -0.026271829 -0.058175429 0.0130572355 0.019150077 0.030288171
    > 5 0.062794165 -0.011462620 -0.0186985886 -0.216184097 -0.156831775
    > 10 -0.010755334 -0.002824503 0.0020017559 0.005117699 0.001971316
    > mean 0.003498611 -0.010899192 0.0003151392 -0.042704521 -0.031776232
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.01725109 0.044888881
    > 5 0.11131507 -0.041557175
    > 10 0.00336347 0.008002528
    > mean 0.02127647 0.007948404
    3630,3632c3629,3631
    < 5 0.0134390758 -0.066230609 -0.060415748 -0.05216925 0.1886225 -0.0004257871
    < 10 0.0001431043 0.088988794 -0.003951327 -0.00361963 0.1238768 0.0082323868
    < mean 0.0054981909 -0.001428115 -0.025381502 -0.01923728 0.1293292 -0.0040483855
    ---
    > 5 0.0134390757 -0.066230609 -0.060415748 -0.05216925 0.1886225 -0.0004257871
    > 10 0.0001431043 0.088988794 -0.003951327 -0.00361963 0.1238768 0.0082323867
    > mean 0.0054981909 -0.001428115 -0.025381502 -0.01923728 0.1293292 -0.0040483856
    3634,3642c3633,3641
    < 1 0.0058106979 0.029453066 0.0422204318 -0.0033230251 0.0009525859
    < 5 0.0272644230 -0.085132523 0.0835652545 0.0418162813 -0.1134768699
    < 10 0.0005576397 -0.067858547 -0.0001269728 -0.0001592843 -0.1243617927
    < mean 0.0011529799 -0.005665736 0.0423654085 0.0076323189 -0.0532726679
    < d_y3_d_x4
    < 1 0.044056783
    < 5 0.102656906
    < 10 -0.002565605
    < mean 0.043620310
    ---
    > 1 0.0058099279 0.029368034 4.221189e-02 -0.0033222126 0.0008094348
    > 5 0.0272786323 -0.085152095 8.360613e-02 0.0417908511 -0.1134354294
    > 10 0.0005950015 -0.067850555 -8.549624e-05 -0.0001680563 -0.1243549737
    > mean 0.0011689709 -0.005699656 4.236526e-02 0.0076070322 -0.0533113765
    > d_y3_d_x4
    > 1 0.044052368
    > 5 0.102497491
    > 10 -0.002606281
    > mean 0.043551983
    3648,3650c3647,3649
    < 5 -0.1876624139 -0.137910505 0.12725063 0.062794165 -0.0004257871 0.4303697
    < 10 0.0005193529 0.002116951 0.06569682 -0.010755334 0.0082323868 0.1622181
    < mean -0.0317096952 -0.038992651 0.02335124 0.003498611 -0.0040483855 0.1882394
    ---
    > 5 -0.1876624140 -0.137910505 0.12725063 0.062794165 -0.0004257871 0.4303697
    > 10 0.0005193529 0.002116951 0.06569682 -0.010755334 0.0082323867 0.1622181
    > mean -0.0317096952 -0.038992651 0.02335124 0.003498611 -0.0040483856 0.1882394
    3652,3660c3651,3659
    < 1 0.001139074 0.043320376 -0.04575197 -0.004963450 0.040291752
    < 5 0.024461588 -0.016409967 -0.33972972 -0.099475779 0.252792640
    < 10 0.001905316 -0.001625921 -0.07123554 -0.001349787 -0.006213746
    < mean -0.012405116 0.029167815 -0.04498971 -0.007032112 0.069541342
    < d_y3_d_x4
    < 1 -0.08976140
    < 5 -0.15400167
    < 10 -0.11703934
    < mean -0.04655413
    ---
    > 1 0.001140717 0.043384486 -0.04574026 -0.004963502 0.040292742
    > 5 0.024521697 -0.016429303 -0.33968675 -0.099438861 0.252703411
    > 10 0.001952299 -0.001624032 -0.07120353 -0.001192549 -0.006214361
    > mean -0.012397157 0.029202646 -0.04498710 -0.006966362 0.069504315
    > d_y3_d_x4
    > 1 -0.08977236
    > 5 -0.15394458
    > 10 -0.11685097
    > mean -0.04648243
    3665,3678c3664,3677
    < 1 0.087126100 0.0073154053 0.018160916 -0.058175344 0.0058106979
    < 5 -0.107330929 -0.0910478484 0.030130361 -0.011411250 0.0272644230
    < 10 0.000269181 0.0004455381 0.001175123 -0.002821536 0.0005576397
    < mean -0.002180007 -0.0144554439 0.001909951 -0.010881759 0.0011529799
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.001139074 0.052185350 -0.0152589407 -0.025637069 -0.0294376544
    < 5 0.024461588 0.351389428 -0.1649345617 -0.117990395 0.2396107909
    < 10 0.001905316 0.001017447 -0.0004448312 -0.001707917 -0.0007112627
    < mean -0.012405116 0.045334698 -0.0169035806 -0.005581202 0.0373413616
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0150524316 -0.033763361
    < 5 0.1159987254 -0.101115742
    < 10 -0.0006702468 -0.002515218
    < mean 0.0186834573 -0.015953727
    ---
    > 1 0.0871270271 0.007315706 0.018159097 -0.058175429 0.0058099279
    > 5 -0.1072915448 -0.091084366 0.030100238 -0.011462620 0.0272786323
    > 10 0.0002695627 0.000493143 0.001191273 -0.002824503 0.0005950015
    > mean -0.0021453299 -0.014430630 0.001896839 -0.010899192 0.0011689709
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.001140717 0.052186445 -0.0151297513 -0.025646749 -0.029437198
    > 5 0.024521697 0.351382199 -0.1650663379 -0.117904178 0.239711594
    > 10 0.001952299 0.001018486 -0.0004678488 -0.001726268 -0.000711753
    > mean -0.012397157 0.045309355 -0.0168889836 -0.005554718 0.037343626
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0148938303 -0.033773829
    > 5 0.1159836760 -0.101137100
    > 10 -0.0006902437 -0.002552456
    > mean 0.0186870720 -0.015933106
    3683,3696c3682,3695
    < 1 -0.0175534083 -0.118666127 0.009281503 0.0131379770 0.029453066
    < 5 0.1086699214 0.082852157 0.026104198 -0.0187361193 -0.085132523
    < 10 -0.0001023794 -0.108926907 0.002303145 0.0020013398 -0.067858547
    < mean 0.0082074561 0.001839177 0.027437833 0.0003248657 -0.005665736
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.043320376 -0.0152589407 0.18701774 -0.032928210 6.198929e-03
    < 5 -0.016409967 -0.1649345617 0.33785819 0.037581766 -1.011388e-01
    < 10 -0.001625921 -0.0004448312 0.08987412 0.001466965 -5.191827e-06
    < mean 0.029167815 -0.0169035806 0.07191458 -0.032086132 -1.300272e-02
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.240651919 -0.039439081
    < 5 0.008457871 -0.075531736
    < 10 0.156690964 0.003864697
    < mean 0.052257212 -0.051292765
    ---
    > 1 -0.0173514905 -0.118511805 0.009080067 0.0130572355 0.029368034
    > 5 0.1086954968 0.082882900 0.026173001 -0.0186985886 -0.085152095
    > 10 -0.0001024627 -0.108914604 0.002304536 0.0020017559 -0.067850555
    > mean 0.0082663373 0.001858887 0.027442481 0.0003151392 -0.005699656
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.043384486 -0.0151297513 0.18665206 -0.032581347 6.162623e-03
    > 5 -0.016429303 -0.1650663379 0.33797782 0.037191700 -1.011780e-01
    > 10 -0.001624032 -0.0004678488 0.08985383 0.001419168 -6.380649e-07
    > mean 0.029202646 -0.0168889836 0.07190068 -0.032081138 -1.291427e-02
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.240208643 -0.039119566
    > 5 0.008438294 -0.075392389
    > 10 0.156662659 0.003899246
    > mean 0.052186706 -0.051216532
    3701,3704c3700,3703
    < 1 -0.0452971501 0.008378752 -0.11249533 0.019139222 0.0422204318
    < 5 0.3287752571 0.178723868 -0.30194495 -0.216280913 0.0835652545
    < 10 -0.0004080545 -0.001433728 -0.06426598 0.005125691 -0.0001269728
    < mean 0.0472654766 0.048537698 -0.05351024 -0.042711520 0.0423654085
    ---
    > 1 -0.0453053466 0.008347515 -0.11249454 0.019150077 4.221189e-02
    > 5 0.3284277562 0.178618168 -0.30172442 -0.216184097 8.360613e-02
    > 10 -0.0004071313 -0.001379843 -0.06426513 0.005117699 -8.549624e-05
    > mean 0.0472242051 0.048502770 -0.05347400 -0.042704521 4.236526e-02
    3706,3714c3705,3713
    < 1 -0.04575197 -0.025637069 -0.032928210 0.2221907 0.0145646165 -0.033231093
    < 5 -0.33972972 -0.117990395 0.037581766 0.7046611 0.1418536372 -0.392009565
    < 10 -0.07123554 -0.001707917 0.001466965 0.0775082 0.0009231966 0.005146721
    < mean -0.04498971 -0.005581202 -0.032086132 0.1283681 0.0094706613 -0.096997618
    < d_y3_d_x4
    < 1 0.27239129
    < 5 0.34363098
    < 10 0.11819223
    < mean 0.08391087
    ---
    > 1 -0.04574026 -0.025646749 -0.032581347 0.22216933 0.0145684749 -0.03324667
    > 5 -0.33968675 -0.117904178 0.037191700 0.70442886 0.1420128834 -0.39168643
    > 10 -0.07120353 -0.001726268 0.001419168 0.07750353 0.0007830003 0.00510837
    > mean -0.04498710 -0.005554718 -0.032081138 0.12840930 0.0094411092 -0.09690955
    > d_y3_d_x4
    > 1 0.27241297
    > 5 0.34315784
    > 10 0.11801276
    > mean 0.08382957
    3719,3732c3718,3731
    < 1 -0.0615084171 -1.439950e-03 -0.0056718294 0.030287645 -0.0033230251
    < 5 0.0448687063 -3.679975e-02 -0.0224768414 -0.156770711 0.0418162813
    < 10 -0.0001953799 5.975208e-05 -0.0005889933 0.001974059 -0.0001592843
    < mean -0.0012254473 -5.334904e-03 0.0032096212 -0.031765630 0.0076323189
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.004963450 -0.0294376544 6.198929e-03 0.0145646165 0.0216791905
    < 5 -0.099475779 0.2396107909 -1.011388e-01 0.1418536372 0.5352456190
    < 10 -0.001349787 -0.0007112627 -5.191827e-06 0.0009231966 0.0005655482
    < mean -0.007032112 0.0373413616 -1.300272e-02 0.0094706613 0.0601595445
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0023382373 0.009062048
    < 5 -0.0093255198 -0.143020531
    < 10 -0.0001162172 0.001009214
    < mean 0.0005812576 -0.033170887
    ---
    > 1 -0.0615087519 -1.435210e-03 -0.005671750 0.030288171 -0.0033222126
    > 5 0.0449074842 -3.680357e-02 -0.022542174 -0.156831775 0.0417908511
    > 10 -0.0001952407 5.835166e-05 -0.000436470 0.001971316 -0.0001680563
    > mean -0.0012198391 -5.339526e-03 0.003245395 -0.031776232 0.0076070322
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.004963502 -0.029437198 6.162623e-03 0.0145684749 0.0216792771
    > 5 -0.099438861 0.239711594 -1.011780e-01 0.1420128834 0.5353957063
    > 10 -0.001192549 -0.000711753 -6.380649e-07 0.0007830003 0.0005646205
    > mean -0.006966362 0.037343626 -1.291427e-02 0.0094411092 0.0601547586
    > d_y2_d_x4 d_y3_d_x4
    > 1 2.274581e-03 0.0090677567
    > 5 -9.154354e-03 -0.1430645150
    > 10 -6.782968e-05 0.0008214205
    > mean 7.278704e-04 -0.0332495963
    3736,3745c3735,3749
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
    < 1 -0.007218395 -0.2780174 0.002932155 0.01740984 0.0009525859 0.040291752
    < 5 -0.242056318 -0.1481450 0.180370286 0.11137281 -0.1134768699 0.252792640
    < 10 -0.000153797 -0.2017466 -0.001453441 0.00336202 -0.1243617927 -0.006213746
    < mean -0.043417474 -0.1055978 0.048819544 0.02132602 -0.0532726679 0.069541342
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0150524316 0.240651919 -0.033231093 0.0023382373 0.6058312 -0.02023155
    < 5 0.1159987254 0.008457871 -0.392009565 -0.0093255198 0.5650991 -0.26253141
    < 10 -0.0006702468 0.156690964 0.005146721 -0.0001162172 0.3032570 0.01094240
    < mean 0.0186834573 0.052257212 -0.096997618 0.0005812576 0.3188120 -0.07020246
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
    > 1 -0.0069782753 -0.2778544 0.002926144 0.01725109 0.0008094348
    > 5 -0.2420002118 -0.1481576 0.180444020 0.11131507 -0.1134354294
    > 10 -0.0001539053 -0.2017364 -0.001457520 0.00336347 -0.1243549737
    > mean -0.0433438979 -0.1055772 0.048833017 0.02127647 -0.0533113765
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.040292742 -0.0148938303 0.240208643 -0.03324667 2.274581e-03 0.6053376
    > 5 0.252703411 0.1159836760 0.008438294 -0.39168643 -9.154354e-03 0.5647923
    > 10 -0.006214361 -0.0006902437 0.156662659 0.00510837 -6.782968e-05 0.3032282
    > mean 0.069504315 0.0186870720 0.052186706 -0.09690955 7.278704e-04 0.3186433
    > d_y3_d_x4
    > 1 -0.02029626
    > 5 -0.26212238
    > 10 0.01105439
    > mean -0.07001765
    3750,3753c3754,3757
    < 1 -0.0251532372 0.003001541 -0.21016110 0.044876415 0.044056783
    < 5 0.1381815585 0.087377535 -0.27754032 -0.041475759 0.102656906
    < 10 -0.0005943693 -0.004995112 -0.10529779 0.008014755 -0.002565605
    < mean 0.0119385834 0.033238541 -0.08764992 0.007958684 0.043620310
    ---
    > 1 -0.0251646531 0.003016481 -0.21017065 0.044888881 0.044052368
    > 5 0.1382809232 0.087378268 -0.27728605 -0.041557175 0.102497491
    > 10 -0.0005932655 -0.005051618 -0.10512274 0.008002528 -0.002606281
    > mean 0.0119531378 0.033193948 -0.08756019 0.007948404 0.043551983
    3755,3763c3759,3767
    < 1 -0.08976140 -0.033763361 -0.039439081 0.27239129 0.009062048 -0.02023155
    < 5 -0.15400167 -0.101115742 -0.075531736 0.34363098 -0.143020531 -0.26253141
    < 10 -0.11703934 -0.002515218 0.003864697 0.11819223 0.001009214 0.01094240
    < mean -0.04655413 -0.015953727 -0.051292765 0.08391087 -0.033170887 -0.07020246
    < d_y3_d_x4
    < 1 0.5217897
    < 5 0.4790538
    < 10 0.2117212
    < mean 0.2155596
    ---
    > 1 -0.08977236 -0.033773829 -0.039119566 0.27241297 0.0090677567 -0.02029626
    > 5 -0.15394458 -0.101137100 -0.075392389 0.34315784 -0.1430645150 -0.26212238
    > 10 -0.11685097 -0.002552456 0.003899246 0.11801276 0.0008214205 0.01105439
    > mean -0.04648243 -0.015933106 -0.051216532 0.08382957 -0.0332495963 -0.07001765
    > d_y3_d_x4
    > 1 0.5218449
    > 5 0.4782605
    > 10 0.2112263
    > mean 0.2153100
    3768,3769c3772,3773
    < d_y2_d_x1 0.006460991 0.148777309 -0.009259879 -0.0031171537 -0.001428115
    < d_y3_d_x1 -0.034854738 -0.009259879 0.100579205 0.0115321322 -0.025381502
    ---
    > d_y2_d_x1 0.006460991 0.148777309 -0.009259879 -0.0031171538 -0.001428115
    > d_y3_d_x1 -0.034854738 -0.009259879 0.100579205 0.0115321321 -0.025381502
    3771c3775
    < d_y2_d_x2 0.005498191 -0.001428115 -0.025381502 -0.0192372834 0.129329235
    ---
    > d_y2_d_x2 0.005498191 -0.001428115 -0.025381502 -0.0192372835 0.129329235
    3773,3804c3777,3808
    < d_y1_d_x3 -0.002180007 -0.014455444 0.001909951 -0.0108817593 0.001152980
    < d_y2_d_x3 0.008207456 0.001839177 0.027437833 0.0003248657 -0.005665736
    < d_y3_d_x3 0.047265477 0.048537698 -0.053510242 -0.0427115196 0.042365409
    < d_y1_d_x4 -0.001225447 -0.005334904 0.003209621 -0.0317656301 0.007632319
    < d_y2_d_x4 -0.043417474 -0.105597825 0.048819544 0.0213260183 -0.053272668
    < d_y3_d_x4 0.011938583 0.033238541 -0.087649921 0.0079586841 0.043620310
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 -0.031709695 -0.002180007 0.0082074561 0.047265477 -0.0012254473
    < d_y2_d_x1 -0.038992651 -0.014455444 0.0018391770 0.048537698 -0.0053349039
    < d_y3_d_x1 0.023351239 0.001909951 0.0274378334 -0.053510242 0.0032096212
    < d_y1_d_x2 0.003498611 -0.010881759 0.0003248657 -0.042711520 -0.0317656301
    < d_y2_d_x2 -0.004048386 0.001152980 -0.0056657356 0.042365409 0.0076323189
    < d_y3_d_x2 0.188239422 -0.012405116 0.0291678149 -0.044989715 -0.0070321118
    < d_y1_d_x3 -0.012405116 0.045334698 -0.0169035806 -0.005581202 0.0373413616
    < d_y2_d_x3 0.029167815 -0.016903581 0.0719145805 -0.032086132 -0.0130027160
    < d_y3_d_x3 -0.044989715 -0.005581202 -0.0320861319 0.128368079 0.0094706613
    < d_y1_d_x4 -0.007032112 0.037341362 -0.0130027160 0.009470661 0.0601595445
    < d_y2_d_x4 0.069541342 0.018683457 0.0522572120 -0.096997618 0.0005812576
    < d_y3_d_x4 -0.046554131 -0.015953727 -0.0512927645 0.083910866 -0.0331708866
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.0434174737 0.011938583
    < d_y2_d_x1 -0.1055978254 0.033238541
    < d_y3_d_x1 0.0488195441 -0.087649921
    < d_y1_d_x2 0.0213260183 0.007958684
    < d_y2_d_x2 -0.0532726679 0.043620310
    < d_y3_d_x2 0.0695413417 -0.046554131
    < d_y1_d_x3 0.0186834573 -0.015953727
    < d_y2_d_x3 0.0522572120 -0.051292765
    < d_y3_d_x3 -0.0969976185 0.083910866
    < d_y1_d_x4 0.0005812576 -0.033170887
    < d_y2_d_x4 0.3188120478 -0.070202461
    < d_y3_d_x4 -0.0702024607 0.215559605
    ---
    > d_y1_d_x3 -0.002145330 -0.014430630 0.001896839 -0.0108991920 0.001168971
    > d_y2_d_x3 0.008266337 0.001858887 0.027442481 0.0003151392 -0.005699656
    > d_y3_d_x3 0.047224205 0.048502770 -0.053474002 -0.0427045208 0.042365258
    > d_y1_d_x4 -0.001219839 -0.005339526 0.003245395 -0.0317762324 0.007607032
    > d_y2_d_x4 -0.043343898 -0.105577209 0.048833017 0.0212764688 -0.053311376
    > d_y3_d_x4 0.011953138 0.033193948 -0.087560193 0.0079484035 0.043551983
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 -0.031709695 -0.002145330 0.0082663373 0.047224205 -0.0012198391
    > d_y2_d_x1 -0.038992651 -0.014430630 0.0018588875 0.048502770 -0.0053395257
    > d_y3_d_x1 0.023351239 0.001896839 0.0274424813 -0.053474002 0.0032453946
    > d_y1_d_x2 0.003498611 -0.010899192 0.0003151392 -0.042704521 -0.0317762324
    > d_y2_d_x2 -0.004048386 0.001168971 -0.0056996564 0.042365258 0.0076070322
    > d_y3_d_x2 0.188239422 -0.012397157 0.0292026461 -0.044987100 -0.0069663622
    > d_y1_d_x3 -0.012397157 0.045309355 -0.0168889836 -0.005554718 0.0373436258
    > d_y2_d_x3 0.029202646 -0.016888984 0.0719006837 -0.032081138 -0.0129142719
    > d_y3_d_x3 -0.044987100 -0.005554718 -0.0320811379 0.128409299 0.0094411092
    > d_y1_d_x4 -0.006966362 0.037343626 -0.0129142719 0.009441109 0.0601547586
    > d_y2_d_x4 0.069504315 0.018687072 0.0521867055 -0.096909554 0.0007278704
    > d_y3_d_x4 -0.046482427 -0.015933106 -0.0512165316 0.083829573 -0.0332495963
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.0433438979 0.011953138
    > d_y2_d_x1 -0.1055772087 0.033193948
    > d_y3_d_x1 0.0488330170 -0.087560193
    > d_y1_d_x2 0.0212764688 0.007948404
    > d_y2_d_x2 -0.0533113765 0.043551983
    > d_y3_d_x2 0.0695043150 -0.046482427
    > d_y1_d_x3 0.0186870720 -0.015933106
    > d_y2_d_x3 0.0521867055 -0.051216532
    > d_y3_d_x3 -0.0969095539 0.083829573
    > d_y1_d_x4 0.0007278704 -0.033249596
    > d_y2_d_x4 0.3186432682 -0.070017645
    > d_y3_d_x4 -0.0700176450 0.215309973
    3812,3813c3816,3817
    < 1 0.237119196 -0.0042905706 -0.004537520 -0.16362764 0.021246739
    < 5 0.279256250 0.0130994341 -0.042653983 -0.18347254 0.006690779
    ---
    > 1 0.237119196 -0.0042905705 -0.004537520 -0.16362764 0.021246739
    > 5 0.279256250 0.0130994340 -0.042653983 -0.18347254 0.006690779
    3817,3825c3821,3829
    < 1 0.053090421 0.11544498 -0.016808777 -0.049299453 -0.08098591
    < 5 -0.050415270 0.04684031 0.021016522 0.092770236 -0.02615685
    < 10 -0.020715613 -0.01939560 0.001335043 0.008648637 0.01514344
    < mean -0.006013487 0.04762990 0.001847596 0.017373140 -0.03066644
    < d_y2_d_x4 d_y3_d_x4
    < 1 4.529710e-03 0.003796963
    < 5 -4.027889e-02 0.032862602
    < 10 -3.330669e-05 -0.000577316
    < mean -1.192750e-02 0.012027416
    ---
    > 1 0.053090421 0.11544880 -0.016286972 -0.049332760 -0.08098175
    > 5 -0.050415270 0.04682366 0.021016522 0.092581498 -0.02604583
    > 10 -0.020715613 -0.01938449 0.001389167 0.008526513 0.01518785
    > mean -0.006013487 0.04762932 0.002039572 0.017258417 -0.03061324
    > d_y2_d_x4 d_y3_d_x4
    > 1 4.840572e-03 0.0037525538
    > 5 -4.027889e-02 0.0331734640
    > 10 -3.885781e-05 -0.0007105427
    > mean -1.182573e-02 0.0120718250
    3832c3836
    < 10 3.416534e-05 -6.254719e-06 -8.454526e-05 0.00000000 0.000000000
    ---
    > 10 3.416556e-05 -6.254719e-06 -8.454504e-05 0.00000000 0.000000000
    3835,3838c3839,3842
    < 1 0.00000000 0.00000000 0.000000000 0.0000000 0.00000000 0.00000000
    < 5 -0.05041527 0.04652945 0.020861091 0.0926148 -0.02597922 -0.04019007
    < 10 0.00000000 0.00000000 0.000000000 0.0000000 0.00000000 0.00000000
    < mean -0.01680509 0.01550982 0.006953697 0.0308716 -0.00865974 -0.01339669
    ---
    > 1 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
    > 5 -0.05041527 0.04666822 0.020861091 0.09242607 -0.025957014 -0.04019007
    > 10 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
    > mean -0.01680509 0.01555607 0.006953697 0.03080869 -0.008652338 -0.01339669
    3841c3845
    < 5 0.03295142
    ---
    > 5 0.03326228
    3843c3847
    < mean 0.01098381
    ---
    > mean 0.01108743
    3848,3851c3852,3855
    < 1 0.23711920 -0.004290571 -0.004537520 0.03892668 -0.004881742 -0.01711139
    < 5 0.00000000 0.000000000 0.000000000 0.24661116 -0.058139940 -0.14174766
    < 10 0.00000000 0.000000000 0.000000000 0.05122359 -0.004908095 -0.02281777
    < mean 0.07903973 -0.001430190 -0.001512507 0.11225381 -0.022643259 -0.06055894
    ---
    > 1 0.23711920 -0.00429057 -0.004537520 0.03892668 -0.004881742 -0.01711139
    > 5 0.00000000 0.00000000 0.000000000 0.24661116 -0.058139940 -0.14174766
    > 10 0.00000000 0.00000000 0.000000000 0.05122359 -0.004908095 -0.02281777
    > mean 0.07903973 -0.00143019 -0.001512507 0.11225381 -0.022643259 -0.06055894
    3853c3857
    < 1 0.11546927 -0.016808777 -0.04933831 -0.08099979 0.004529710 0.003819167
    ---
    > 1 0.11547308 -0.016286972 -0.04937162 -0.08099563 0.004840572 0.003774758
    3856c3860
    < mean 0.03848976 -0.005602926 -0.01644610 -0.02699993 0.001509903 0.001273056
    ---
    > mean 0.03849103 -0.005428991 -0.01645721 -0.02699854 0.001613524 0.001258253
    3861,3862c3865,3866
    < 1 -0.253201499 0.0045815731 0.004845272 0.1747255 -0.022687772 -0.05669121
    < 5 -0.174546122 -0.0081876607 0.026660415 0.1146775 -0.004182000 0.03151152
    ---
    > 1 -0.253201499 0.0045815729 0.004845272 0.1747255 -0.022687772 -0.05669121
    > 5 -0.174546122 -0.0081876608 0.026660414 0.1146775 -0.004182000 0.03151152
    3864c3868
    < mean -0.144566262 -0.0011045779 0.011345133 0.1158780 -0.010907806 -0.01705108
    ---
    > mean -0.144566262 -0.0011045781 0.011345133 0.1158780 -0.010907806 -0.01705108
    3866,3869c3870,3873
    < 1 -0.08438163 0.013903232 0.035626979 0.08649192 -3.730349e-03
    < 5 0.40133447 -0.078264418 -0.149652401 0.01627587 2.549072e-02
    < 10 -0.01912249 0.001535543 0.008955663 0.01736389 -5.551115e-06
    < mean 0.09927678 -0.020941881 -0.035023253 0.04004389 7.251607e-03
    ---
    > 1 -0.08437642 0.014336219 0.035596448 0.08650164 -3.774758e-03
    > 5 0.40105691 -0.078108987 -0.149774526 0.01605382 2.540190e-02
    > 10 -0.01912249 0.001521665 0.008955663 0.01736389 -1.665335e-05
    > mean 0.09918600 -0.020750368 -0.035074138 0.03997312 7.203497e-03
    3871,3872c3875,3876
    < 1 -0.003985701
    < 5 -0.020827784
    ---
    > 1 -0.004019007
    > 5 -0.020961011
    3874c3878
    < mean -0.008804069
    ---
    > mean -0.008859580
    3880c3884
    < 5 0.229431652 1.076225e-02 -0.0350437056 -0.15073756 0.005497018
    ---
    > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018
    3882c3886
    < mean 0.110786797 2.947919e-03 -0.0125821462 -0.07939637 0.005444762
    ---
    > mean 0.110786797 2.947919e-03 -0.0125821461 -0.07939637 0.005444762
    3884,3892c3888,3896
    < 1 0.022641165 0.04926077 -0.0080380147 -0.021080360 0.0043827839
    < 5 -0.041420232 0.03791967 0.0179078974 0.077438056 0.4085675703
    < 10 0.007881690 0.00667244 -0.0005467848 -0.003885781 -0.0008593215
    < mean -0.003632459 0.03128429 0.0031076993 0.017490639 0.1373636776
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0036382917 -0.01536834
    < 5 -0.0980041830 -0.06331036
    < 10 -0.0002061194 -0.00201334
    < mean -0.0339495314 -0.02689735
    ---
    > 1 0.022641165 0.049267708 -0.0072386541 -0.021049829 0.0043827839
    > 5 -0.041420232 0.037997383 0.0179078974 0.077016171 0.4085231613
    > 10 0.007881690 0.006949996 -0.0005273559 -0.003608225 -0.0008149126
    > mean -0.003632459 0.031405029 0.0033806291 0.017452706 0.1373636775
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0029277489 -0.015335034
    > 5 -0.0980041830 -0.063576810
    > 10 -0.0002172217 -0.001968931
    > mean -0.0337163845 -0.026960258
    3896,3910c3900,3914
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
    < 1 -0.006704915 -0.20930690 -0.011106030 0.02359868 -0.07427991 -0.019690253
    < 5 -0.046817607 0.06017080 0.024119695 0.01982570 -0.11310591 0.019517303
    < 10 0.000149237 0.21970457 0.010775848 -0.00348749 0.13273560 0.010499709
    < mean -0.017791095 0.02352282 0.007929838 0.01331229 -0.01821674 0.003442253
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 -0.0138004191 0.24436009 0.026509350 0.0034514058 0.31770142
    < 5 0.0205724326 0.05356826 -0.037359005 0.0321964677 0.06363798
    < 10 0.0009214851 -0.22632729 -0.010325074 0.0001332268 -0.30196956
    < mean 0.0025644995 0.02386702 -0.007058243 0.0119270334 0.02645661
    < d_y3_d_x4
    < 1 0.026190161
    < 5 -0.036814995
    < 10 -0.011812773
    < mean -0.007479202
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
    > 1 -0.0067049148 -0.20930690 -0.011106030 0.02359868 -0.07427991
    > 5 -0.0468176067 0.06017080 0.024119695 0.01982570 -0.11310591
    > 10 0.0001492367 0.21970457 0.010775848 -0.00348749 0.13273560
    > mean -0.0177910949 0.02352282 0.007929838 0.01331229 -0.01821674
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.019690253 -0.0138023273 0.24398261 0.026548208 0.0034493242
    > 5 0.019517303 0.0206390460 0.05356826 -0.037603254 0.0322852856
    > 10 0.010499709 0.0008881784 -0.22631341 -0.010202950 0.0003552714
    > mean 0.003442253 0.0025749657 0.02374582 -0.007085998 0.0120299604
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.31725733 0.026167957
    > 5 0.06363798 -0.037081449
    > 10 -0.30195846 -0.011679546
    > mean 0.02631229 -0.007531013
    3917c3921
    < 10 -2.589928e-06 0.3469243 0.014366786 0.000000000 0.00000000 0.000000000
    ---
    > 10 -2.590150e-06 0.3469243 0.014366785 0.000000000 0.00000000 0.000000000
    3920,3923c3924,3927
    < 1 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
    < 5 0.020633495 0.05384582 -0.0373257 0.03226308 0.06368239 -0.03703704
    < 10 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
    < mean 0.006877832 0.01794861 -0.0124419 0.01075436 0.02122746 -0.01234568
    ---
    > 1 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > 5 0.020822233 0.05372369 -0.03748113 0.03248513 0.06354917 -0.03694822
    > 10 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > mean 0.006940744 0.01790790 -0.01249371 0.01082838 0.02118306 -0.01231607
    3933,3936c3937,3940
    < 1 -0.01380042 0.24436009 0.02650935 0.003451406 0.3177014 0.026190161
    < 5 0.00000000 0.00000000 0.00000000 0.000000000 0.0000000 0.000000000
    < 10 0.00000000 0.00000000 0.00000000 0.000000000 0.0000000 0.000000000
    < mean -0.00460014 0.08145336 0.00883645 0.001150469 0.1059005 0.008730054
    ---
    > 1 -0.013802327 0.24398261 0.026548208 0.003449324 0.3172573 0.026167957
    > 5 0.000000000 0.00000000 0.000000000 0.000000000 0.0000000 0.000000000
    > 10 0.000000000 0.00000000 0.000000000 0.000000000 0.0000000 0.000000000
    > mean -0.004600776 0.08132754 0.008849403 0.001149775 0.1057524 0.008722652
    3943,3949c3947,3958
    < 10 0.0001871153 0.27546887 0.013510919 -0.004372667 0.16642588 0.013164692
    < mean 0.0122032083 0.15378754 0.003431482 -0.013987911 0.10547979 0.007330444
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.0112606443 0.06748226 -0.01354575 -0.003685940 -0.3398171 -0.027788882
    < 5 -0.0744276980 0.37226051 0.05805901 -0.020028423 -0.0393019 0.022915003
    < 10 0.0007363513 -0.15661433 -0.00928765 0.000000000 -0.3787415 -0.014921397
    < mean -0.0208102341 0.09437615 0.01174187 -0.007904788 -0.2526201 -0.006598426
    ---
    > 10 0.0001871152 0.27546887 0.013510919 -0.004372667 0.16642588 0.013164692
    > mean 0.0122032083 0.15378754 0.003431481 -0.013987911 0.10547979 0.007330444
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.0112602974 0.06748226 -0.013584606 -3.665124e-03 -0.33981706
    > 5 -0.0745276181 0.37223831 0.057614917 -1.989520e-02 -0.03903544
    > 10 0.0008473737 -0.15659907 -0.009309854 8.881784e-05 -0.37872483
    > mean -0.0208066490 0.09437383 0.011573486 -7.823834e-03 -0.25252578
    > d_y3_d_x4
    > 1 -0.02776668
    > 5 0.02291500
    > 10 -0.01501022
    > mean -0.00662063
    3956c3965
    < 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326888 -0.05050205
    ---
    > 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326889 -0.05050205
    3959,3967c3968,3976
    < 1 -0.008397189 -0.0058904270 0.10428325 0.011438073 -0.0020370519 0.4647645
    < 5 0.016035047 0.0169919634 0.04414247 -0.031530334 -0.0349370650 0.4576700
    < 10 -0.003994835 -0.0002331468 0.08609502 0.004019007 -0.0003738717 0.2420501
    < mean 0.001214341 0.0036227965 0.07817358 -0.005357751 -0.0124493295 0.3881615
    < d_y3_d_x4
    < 1 0.025786678
    < 5 0.003125170
    < 10 0.007943012
    < mean 0.012284953
    ---
    > 1 -0.008397188 -5.891121e-03 0.10417223 0.011429746 -0.0020287253 0.4646756
    > 5 0.016035047 1.678657e-02 0.04400924 -0.031175063 -0.0350480873 0.4574923
    > 10 -0.003994835 -2.220446e-05 0.08605894 0.004107825 0.0001146264 0.2420390
    > mean 0.001214341 3.624416e-03 0.07808013 -0.005212497 -0.0123207287 0.3880690
    > d_y3_d_x4
    > 1 0.025842189
    > 5 0.003835713
    > 10 0.008298283
    > mean 0.012658728
    3972,3975c3981,3984
    < 1 -0.0232567723 -0.011015572 -0.15915262 0.04568840 -0.015580858
    < 5 -0.0739470343 -0.007314459 0.22130059 0.06229383 -0.013690362
    < 10 0.0008188515 0.011466788 0.13119743 -0.01094591 0.009654283
    < mean -0.0321283183 -0.002287747 0.06444847 0.03234544 -0.006538979
    ---
    > 1 -0.0232567722 -0.011015572 -0.15915262 0.04568840 -0.015580858
    > 5 -0.0739470342 -0.007314459 0.22130059 0.06229383 -0.013690362
    > 10 0.0008188513 0.011466788 0.13119743 -0.01094591 0.009654283
    > mean -0.0321283184 -0.002287747 0.06444847 0.03234544 -0.006538979
    3977,3980c3986,3989
    < 1 -0.12588268 -0.028612529 0.025068836 0.24238112 0.011737833 0.02495781
    < 5 0.05968877 -0.034994230 0.003708145 -0.14724888 -0.033750780 0.03153033
    < 10 0.15417144 0.004041212 -0.010072498 -0.21648239 -0.001953993 -0.01213474
    < mean 0.02932584 -0.019855182 0.006234827 -0.04045005 -0.007988980 0.01478447
    ---
    > 1 -0.12588268 -0.028605590 0.025801583 0.24238112 0.011737833 0.02504663
    > 5 0.05968877 -0.035038639 0.003830269 -0.14682700 -0.033928416 0.03166356
    > 10 0.15417144 0.004118927 -0.010071111 -0.21652680 -0.001643130 -0.01217360
    > mean 0.02932584 -0.019841767 0.006520247 -0.04032423 -0.007944571 0.01484553
    3983,3985c3992,3994
    < 5 -0.25575098
    < 10 -0.23958613
    < mean -0.06996255
    ---
    > 5 -0.25548452
    > 10 -0.23940849
    > mean -0.06981452
    3996c4005
    < 5 -0.03499423 0.003708145 -0.14724888 -0.03375078 0.03153033 -0.25575098
    ---
    > 5 -0.03503864 0.003830269 -0.14682700 -0.03392842 0.03166356 -0.25548452
    3998c4007
    < mean -0.01166474 0.001236048 -0.04908296 -0.01125026 0.01051011 -0.08525033
    ---
    > mean -0.01167955 0.001276756 -0.04894233 -0.01130947 0.01055452 -0.08516151
    4005c4014
    < 10 0.000000000 0.000000000 0.00000000 -0.011769192 0.01311946 0.2955153
    ---
    > 10 0.000000000 0.000000000 0.00000000 -0.011769193 0.01311946 0.2955153
    4008,4011c4017,4020
    < 1 -0.02861253 0.025068836 0.24238112 0.011737833 0.024957814 0.28544944
    < 5 0.00000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
    < 10 0.00000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
    < mean -0.00953751 0.008356279 0.08079371 0.003912611 0.008319271 0.09514981
    ---
    > 1 -0.028605590 0.025801583 0.24238112 0.011737833 0.025046631 0.28544944
    > 5 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
    > 10 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
    > mean -0.009535197 0.008600528 0.08079371 0.003912611 0.008348877 0.09514981
    4016c4025
    < 1 0.024834133 0.011762688 0.16994694 -0.04878715 0.016637610 0.13442051
    ---
    > 1 0.024834133 0.011762689 0.16994694 -0.04878715 0.016637610 0.13442051
    4021,4029c4030,4038
    < 1 0.022109401 -0.011125710 0.0008492073 -0.012528867 -0.02509104
    < 5 -0.102890193 0.045821809 0.4576165498 0.020805579 -0.02056133
    < 10 0.002940371 -0.009201082 -0.1310826416 -0.002353673 -0.01531553
    < mean -0.025946807 0.008498339 0.1091277052 0.001974347 -0.02032263
    < d_y3_d_x4
    < 1 -0.3048117
    < 5 0.1606715
    < 10 -0.3006484
    < mean -0.1482629
    ---
    > 1 0.022109401 -0.011103506 0.0008464317 -0.012528867 -0.02535749
    > 5 -0.102906847 0.045699685 0.4576054475 0.020916602 -0.02069456
    > 10 0.003317847 -0.009184429 -0.1307384724 -0.001909584 -0.01529332
    > mean -0.025826533 0.008470583 0.1092378023 0.002159384 -0.02044846
    > d_y3_d_x4
    > 1 -0.3048228
    > 5 0.1606271
    > 10 -0.2999823
    > mean -0.1480593
    4034c4043
    < 1 -0.0099181813 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
    ---
    > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
    4036c4045
    < 10 -0.0003115492 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
    ---
    > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
    4039,4042c4048,4051
    < 1 -0.012216790 0.010702550 0.10342560 -0.0034860966 0.025611570 0.3815530
    < 5 -0.028965719 0.003474998 -0.11998180 -0.1524561002 0.074898550 0.1554805
    < 10 -0.002309264 0.003856637 0.08156809 -0.0008232847 0.008144765 0.2320713
    < mean -0.014497258 0.006011395 0.02167063 -0.0522551605 0.036218295 0.2563683
    ---
    > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
    > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
    > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
    > mean -0.014443828 0.005966986 0.02158366 -0.052158016 0.036159083 0.2564053
    4048,4049c4057,4058
    < 5 -0.2627469939 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
    < 10 0.0002986816 -0.0001412115 5.869416e-06 -0.0079378151 0.006272141
    ---
    > 5 -0.2627469940 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
    > 10 0.0002986817 -0.0001412116 5.869527e-06 -0.0079378150 0.006272141
    4052,4060c4061,4069
    < 1 0.057426766 0.044658027 -0.029221070 -0.0314914761 -0.0024508173
    < 5 0.165725303 0.359984265 -0.353428398 -0.2034039603 0.3655964420
    < 10 0.005869358 0.001887379 -0.001067202 -0.0004107825 0.0004440892
    < mean 0.076340476 0.135509890 -0.127905557 -0.0784354063 0.1211965713
    < d_y2_d_x4 d_y3_d_x4
    < 1 7.460699e-03 -0.0081934459
    < 5 2.866152e-01 -0.1066258193
    < 10 -5.551115e-06 -0.0002220446
    < mean 9.802344e-02 -0.0383471033
    ---
    > 1 0.057426766 0.044659935 -0.029354297 -0.031555314 -0.0024487357
    > 5 0.165725303 0.360245167 -0.353705953 -0.202970973 0.3657518732
    > 10 0.005869358 0.001720846 -0.001033895 -0.000577316 0.0004884981
    > mean 0.076340476 0.135541983 -0.128031382 -0.078367868 0.1212638786
    > d_y2_d_x4 d_y3_d_x4
    > 1 7.283063e-03 -0.0082711615
    > 5 2.865708e-01 -0.1066702282
    > 10 3.885781e-05 -0.0001776357
    > mean 9.796423e-02 -0.0383730085
    4065,4068c4074,4077
    < 1 -0.03036766 -0.0028628583 -0.046038902 0.16796613 -0.014779641 0.11986384
    < 5 -0.13515076 -0.1522331796 -0.008299913 0.21839363 -0.004554075 0.33427476
    < 10 -0.00310063 0.0001322237 -0.002880124 0.04099705 -0.003285345 0.03256694
    < mean -0.05620635 -0.0516546047 -0.019072980 0.14245227 -0.007539687 0.16223518
    ---
    > 1 -0.03036766 -0.0028628581 -0.046038902 0.16796613 -0.014779641 0.11986384
    > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
    > 10 -0.00310063 0.0001322236 -0.002880124 0.04099705 -0.003285345 0.03256694
    > mean -0.05620635 -0.0516546046 -0.019072980 0.14245227 -0.007539687 0.16223518
    4070,4078c4079,4087
    < 1 -0.10554595 0.0114908083 -0.08226753 0.023814978 0.0026201263
    < 5 -0.17430501 -0.0339395179 -0.40326631 -0.447464288 0.1729727472
    < 10 -0.01397771 0.0008965051 -0.01231237 0.004840572 0.0002109424
    < mean -0.09794289 -0.0071840682 -0.16594874 -0.139602913 0.0586012720
    < d_y3_d_x4
    < 1 0.030375702
    < 5 0.091526786
    < 10 0.005107026
    < mean 0.042336505
    ---
    > 1 -0.10554595 0.0111022302 -0.08223699 0.023814978 0.0021316282
    > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937
    > 10 -0.01385558 0.0008895662 -0.01219025 0.004973799 0.0002720046
    > mean -0.09787443 -0.0073085057 -0.16597927 -0.139565905 0.0583699755
    > d_y3_d_x4
    > 1 0.030409009
    > 5 0.091260333
    > 10 0.005240253
    > mean 0.042303198
    4083,4091c4092,4100
    < 1 -4.065696e-04 0.1000440 -0.1147518 0.013416950 0.14424394 -0.20173175
    < 5 1.095618e-01 0.1914696 -0.2351233 -0.047457799 0.19609338 -0.26047393
    < 10 -5.019241e-05 0.1066395 -0.1269163 0.000569624 0.08873839 -0.08386716
    < mean 3.636834e-02 0.1327177 -0.1589305 -0.011157075 0.14302524 -0.18202428
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0050648721 -0.22104540 0.27917391 -0.0002144118 -0.26423308 0.3409606
    < 5 -0.0632494057 -0.23672175 0.42515991 -0.0561772850 -0.46087578 0.5182965
    < 10 -0.0006106227 -0.08063689 0.07922552 0.0003996803 -0.09792722 0.0980549
    < mean -0.0229749668 -0.17946801 0.26118644 -0.0186640055 -0.27434536 0.3191040
    ---
    > 1 -4.065696e-04 0.1000440 -0.1147518 0.0134169502 0.14424394 -0.20173175
    > 5 1.095618e-01 0.1914696 -0.2351233 -0.0474577987 0.19609338 -0.26047393
    > 10 -5.019252e-05 0.1066395 -0.1269163 0.0005696241 0.08873839 -0.08386716
    > mean 3.636834e-02 0.1327177 -0.1589305 -0.0111570748 0.14302524 -0.18202428
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0050676477 -0.22102320 0.27909619 -0.0002144118 -0.26449953 0.34100500
    > 5 -0.0632993657 -0.23672175 0.42520432 -0.0563771252 -0.46087578 0.51776361
    > 10 -0.0002664535 -0.08062023 0.07956968 0.0000000000 -0.09790502 0.09765522
    > mean -0.0228778223 -0.17945506 0.26129006 -0.0188638457 -0.27442678 0.31880794
    4098c4107
    < d_y1_d_x2 -0.100219066 -0.061157512 0.112253809 0.115877970 -0.079396369
    ---
    > d_y1_d_x2 -0.100219066 -0.061157512 0.112253808 0.115877971 -0.079396369
    4101,4106c4110,4115
    < d_y1_d_x3 0.047629898 0.015509816 0.038489755 0.099276783 0.031284292
    < d_y2_d_x3 0.001847596 0.006953697 -0.005602926 -0.020941881 0.003107699
    < d_y3_d_x3 0.017373140 0.030871602 -0.016446104 -0.035023253 0.017490639
    < d_y1_d_x4 -0.030666442 -0.008659740 -0.026999930 0.040043894 0.137363678
    < d_y2_d_x4 -0.011927496 -0.013396691 0.001509903 0.007251607 -0.033949531
    < d_y3_d_x4 0.012027416 0.010983806 0.001273056 -0.008804069 -0.026897346
    ---
    > d_y1_d_x3 0.047629319 0.015556075 0.038491027 0.099185999 0.031405029
    > d_y2_d_x3 0.002039572 0.006953697 -0.005428991 -0.020750368 0.003380629
    > d_y3_d_x3 0.017258417 0.030808689 -0.016457206 -0.035074138 0.017452706
    > d_y1_d_x4 -0.030613243 -0.008652338 -0.026998542 0.039973117 0.137363678
    > d_y2_d_x4 -0.011825726 -0.013396691 0.001613524 0.007203497 -0.033716385
    > d_y3_d_x4 0.012071825 0.011087427 0.001258253 -0.008859580 -0.026960258
    4110c4119
    < d_y3_d_x1 0.007929838 0.017559475 -0.003702010 0.003431482 0.003660021
    ---
    > d_y3_d_x1 0.007929838 0.017559475 -0.003702010 0.003431481 0.003660021
    4114,4119c4123,4128
    < d_y1_d_x3 0.002564500 0.006877832 -0.004600140 -0.020810234 0.003622797
    < d_y2_d_x3 0.023867019 0.017948606 0.081453363 0.094376146 0.078173579
    < d_y3_d_x3 -0.007058243 -0.012441899 0.008836450 0.011741869 -0.005357751
    < d_y1_d_x4 0.011927033 0.010754360 0.001150469 -0.007904788 -0.012449330
    < d_y2_d_x4 0.026456615 0.021227464 0.105900474 -0.252620147 0.388161512
    < d_y3_d_x4 -0.007479202 -0.012345680 0.008730054 -0.006598426 0.012284953
    ---
    > d_y1_d_x3 0.002574966 0.006940744 -0.004600776 -0.020806649 0.003624416
    > d_y2_d_x3 0.023745820 0.017907897 0.081327537 0.094373833 0.078080135
    > d_y3_d_x3 -0.007085998 -0.012493710 0.008849403 0.011573486 -0.005212497
    > d_y1_d_x4 0.012029960 0.010828375 0.001149775 -0.007823834 -0.012320729
    > d_y2_d_x4 0.026312286 0.021183055 0.105752444 -0.252525778 0.388068994
    > d_y3_d_x4 -0.007531013 -0.012316074 0.008722652 -0.006620630 0.012658728
    4127,4132c4136,4141
    < d_y1_d_x3 -0.019855182 -0.011664743 -0.009537510 -0.025946807 -0.014497258
    < d_y2_d_x3 0.006234827 0.001236048 0.008356279 0.008498339 0.006011395
    < d_y3_d_x3 -0.040450051 -0.049082960 0.080793705 0.109127705 0.021670628
    < d_y1_d_x4 -0.007988980 -0.011250260 0.003912611 0.001974347 -0.052255160
    < d_y2_d_x4 0.014784470 0.010510111 0.008319271 -0.020322632 0.036218295
    < d_y3_d_x4 -0.069962554 -0.085250325 0.095149814 -0.148262883 0.256368258
    ---
    > d_y1_d_x3 -0.019841767 -0.011679546 -0.009535197 -0.025826533 -0.014443828
    > d_y2_d_x3 0.006520247 0.001276756 0.008600528 0.008470583 0.005966986
    > d_y3_d_x3 -0.040324225 -0.048942332 0.080793705 0.109237802 0.021583661
    > d_y1_d_x4 -0.007944571 -0.011309472 0.003912611 0.002159384 -0.052158016
    > d_y2_d_x4 0.014845532 0.010554520 0.008348877 -0.020448458 0.036159083
    > d_y3_d_x4 -0.069814525 -0.085161507 0.095149814 -0.148059343 0.256405266
    4140,4145c4149,4154
    < d_y1_d_x3 0.13550989 -0.097942892 -0.02297497
    < d_y2_d_x3 -0.12790556 -0.007184068 -0.17946801
    < d_y3_d_x3 -0.07843541 -0.165948736 0.26118644
    < d_y1_d_x4 0.12119657 -0.139602913 -0.01866401
    < d_y2_d_x4 0.09802344 0.058601272 -0.27434536
    < d_y3_d_x4 -0.03834710 0.042336505 0.31910400
    ---
    > d_y1_d_x3 0.13554198 -0.097874428 -0.02287782
    > d_y2_d_x3 -0.12803138 -0.007308506 -0.17945506
    > d_y3_d_x3 -0.07836787 -0.165979267 0.26129006
    > d_y1_d_x4 0.12126388 -0.139565905 -0.01886385
    > d_y2_d_x4 0.09796423 0.058369976 -0.27442678
    > d_y3_d_x4 -0.03837301 0.042303198 0.31880794
    4156,4162c4165,4171
    < 3: d_y3_d_x2 -0.137815080 0.402763025 -0.3421741 0.7322199
    < 3: d_y1_d_x3 0.005969436 0.031897448 0.1871446 0.8515473
    < 3: d_y2_d_x3 -0.149187187 0.299790130 -0.4976388 0.6187387
    < 3: d_y3_d_x3 0.148226127 0.278402951 0.5324158 0.5944381
    < 3: d_y1_d_x4 -0.004569508 0.023781257 -0.1921474 0.8476267
    < 3: d_y2_d_x4 -0.199201826 0.550687717 -0.3617328 0.7175517
    < 3: d_y3_d_x4 0.165548888 0.460131700 0.3597859 0.7190073
    ---
    > 3: d_y3_d_x2 -0.137815080 0.402763024 -0.3421741 0.7322199
    > 3: d_y1_d_x3 0.005969436 0.031913720 0.1870492 0.8516221
    > 3: d_y2_d_x3 -0.149187187 0.299756283 -0.4976949 0.6186991
    > 3: d_y3_d_x3 0.148226127 0.278394567 0.5324318 0.5944269
    > 3: d_y1_d_x4 -0.004569508 0.023761745 -0.1923052 0.8475031
    > 3: d_y2_d_x4 -0.199201826 0.550661621 -0.3617500 0.7175389
    > 3: d_y3_d_x4 0.165548888 0.459593604 0.3602071 0.7186923
    4169,4174c4178,4183
    < mean: d_y1_d_x3 0.198101158 0.212919463 0.9304042 0.3521619
    < mean: d_y2_d_x3 -0.352687254 0.268168940 -1.3151682 0.1884534
    < mean: d_y3_d_x3 0.208142914 0.358284913 0.5809424 0.5612792
    < mean: d_y1_d_x4 -0.145117866 0.245274427 -0.5916551 0.5540816
    < mean: d_y2_d_x4 -0.414040021 0.564634437 -0.7332886 0.4633824
    < mean: d_y3_d_x4 0.307681615 0.464283970 0.6627014 0.5075218
    ---
    > mean: d_y1_d_x3 0.198101158 0.212859941 0.9306643 0.3520272
    > mean: d_y2_d_x3 -0.352687254 0.268143028 -1.3152953 0.1884107
    > mean: d_y3_d_x3 0.208142914 0.358342432 0.5808492 0.5613421
    > mean: d_y1_d_x4 -0.145117866 0.245264670 -0.5916786 0.5540658
    > mean: d_y2_d_x4 -0.414040021 0.564484958 -0.7334828 0.4632640
    > mean: d_y3_d_x4 0.307681615 0.464015057 0.6630854 0.5072759
    Running 'mvProbitTest5.R'
    Comparing 'mvProbitTest5.Rout' to 'mvProbitTest5.Rout.save' ...161c161
    < [1,] 0.829645430 0.000000000 1.015553870 -0.885915058 0.07479024
    ---
    > [1,] 0.829645431 0.000000000 1.015553870 -0.885915058 0.07479024
    168c168
    < [8,] 0.195184004 0.000000000 -0.383852211 0.029935979 -0.06607573
    ---
    > [8,] 0.195184004 0.000000000 -0.383852210 0.029935979 -0.06607573
    199c199
    < [6,] -0.43218371 -0.018413872 -0.01841387 -0.032903990 0.031058555
    ---
    > [6,] -0.43218371 -0.018413872 -0.01841387 -0.032903989 0.031058554
    209c209
    < [5,] 0.0140944278 3.817987e-03 -7.985257e-05 -0.007061590 0.2433483024
    ---
    > [5,] 0.0140944278 3.817987e-03 -7.985301e-05 -0.007061590 0.2433483024
    211,213c211,213
    < [7,] 0.0380970108 -1.682981e-02 4.928165e-02 -0.048184360 -0.0366696287
    < [8,] -0.0008799583 2.860694e-03 -4.381225e-03 0.001581942 -0.0012885881
    < [9,] 0.1742683999 -4.091158e-02 2.153006e-01 -0.249286492 -0.0828865914
    ---
    > [7,] 0.0380970110 -1.682981e-02 4.928165e-02 -0.048184360 -0.0366696286
    > [8,] -0.0008799584 2.860694e-03 -4.381225e-03 0.001581942 -0.0012885881
    > [9,] 0.1742684002 -4.091158e-02 2.153006e-01 -0.249286491 -0.0828865914
    219c219
    < [4,] -0.7549204977 -7.071321e-01 -1.072649e-01 -7.800970e-01 0.559948980
    ---
    > [4,] -0.7549204981 -7.071321e-01 -1.072649e-01 -7.800970e-01 0.559948980
    222c222
    < [7,] 0.0034465638 -3.419331e-03 -1.683592e-03 2.825673e-02 -0.018517040
    ---
    > [7,] 0.0034465639 -3.419331e-03 -1.683592e-03 2.825673e-02 -0.018517040
    225c225
    < [10,] -0.0164988196 2.513079e-04 5.699752e-05 -3.418155e-06 0.008852965
    ---
    > [10,] -0.0164988196 2.513079e-04 5.699752e-05 -3.418155e-06 0.008852964
    246c246
    < [6,] 0.229644108 0.229644108 0.410354074 -0.387339182 0.03712907
    ---
    > [6,] 0.229644108 0.229644108 0.410354074 -0.387339181 0.03712907
    252c252
    < [1,] 0.00000000 0.091549475 -0.079862881 -7.296638e-02 0.00000000
    ---
    > [1,] 0.00000000 0.091549474 -0.079862881 -7.296638e-02 0.00000000
    254c254
    < [3,] -1.40881560 -0.564613073 1.445451077 -9.941630e-01 -0.99416299
    ---
    > [3,] -1.40881560 -0.564613073 1.445451077 -9.941630e-01 -0.99416298
    258,259c258,259
    < [7,] -0.05339749 -0.026583967 -0.044735726 2.517571e-01 0.25175709
    < [8,] 0.00000000 0.129945531 -0.010134230 3.901243e-03 0.00000000
    ---
    > [7,] -0.05339749 -0.026583966 -0.044735726 2.517571e-01 0.25175709
    > [8,] 0.00000000 0.129945531 -0.010134230 3.901242e-03 0.00000000
    270c270
    < [8,] -7.672251e-03 5.983457e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
    ---
    > [8,] -7.672250e-03 5.983457e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
    274c274
    < [1,] -0.374754461 0.00000000 -0.458730115 0.400171698 0.1253096387
    ---
    > [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096387
    277c277
    < [4,] -0.702249320 -0.70224932 -0.077726862 0.511863370 0.0932493380
    ---
    > [4,] -0.702249319 -0.70224932 -0.077726862 0.511863369 0.0932493380
    279,280c279,280
    < [6,] -0.018413848 -0.01841385 -0.032903948 0.031058515 0.0296042829
    < [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969802
    ---
    > [6,] -0.018413848 -0.01841385 -0.032903947 0.031058514 0.0296042829
    > [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969803
    282c282
    < [9,] -0.561014445 0.00000000 -0.393470792 0.638511262 0.1742683347
    ---
    > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
    285c285
    < [1,] -2.974299e-02 0.1686612450 -0.317886056 -0.0208711777 0.0003426259
    ---
    > [1,] -2.974299e-02 0.1686612452 -0.317886056 -0.0208711775 0.0003426259
    288,292c288,292
    < [4,] 5.409158e-02 -0.0027152374 -0.032249331 0.8408145913 -0.7549200989
    < [5,] 3.817985e-03 -0.0000798539 -0.007061573 0.2433485378 -0.3932870731
    < [6,] -2.598991e-03 0.1382851829 -0.004564789 -0.0038689898 0.0037047267
    < [7,] -1.682984e-02 0.0492816126 -0.048184397 -0.0366696570 0.0034465556
    < [8,] 2.860690e-03 -0.0043812433 0.001581939 -0.0012885915 0.0079515814
    ---
    > [4,] 5.409158e-02 -0.0027152378 -0.032249331 0.8408145913 -0.7549200984
    > [5,] 3.817985e-03 -0.0000798539 -0.007061574 0.2433485378 -0.3932870731
    > [6,] -2.598991e-03 0.1382851830 -0.004564789 -0.0038689896 0.0037047264
    > [7,] -1.682984e-02 0.0492816124 -0.048184397 -0.0366696570 0.0034465556
    > [8,] 2.860690e-03 -0.0043812432 0.001581939 -0.0012885915 0.0079515814
    296,305c296,305
    < [1,] -5.483544e-03 -1.847995e-03 1.008905e-02 -0.032388242
    < [2,] 8.015302e-01 6.566873e-01 7.021445e-01 0.624207469
    < [3,] 4.457558e-01 7.163384e-01 1.268288e-01 0.151695541
    < [4,] -7.071316e-01 -1.072652e-01 -7.800969e-01 0.559949039
    < [5,] -2.331604e+00 -1.072568e-03 -3.269652e-01 0.343980942
    < [6,] 9.094553e-05 7.130634e-04 -1.813084e-04 -0.003323434
    < [7,] -3.419339e-03 -1.683588e-03 2.825669e-02 -0.018517049
    < [8,] 3.547431e-04 -1.092084e-03 1.220151e-03 -0.002013193
    < [9,] -4.164477e-02 -2.133556e-03 6.008642e-02 -0.113067650
    < [10,] 2.513065e-04 5.699841e-05 -3.418155e-06 0.008852989
    ---
    > [1,] -0.0054835436 -1.847995e-03 1.008905e-02 -0.032388242
    > [2,] 0.8015301858 6.566873e-01 7.021445e-01 0.624207469
    > [3,] 0.4457558145 7.163384e-01 1.268288e-01 0.151695541
    > [4,] -0.7071316235 -1.072652e-01 -7.800969e-01 0.559949039
    > [5,] -2.3316036613 -1.072568e-03 -3.269652e-01 0.343980942
    > [6,] 0.0000909457 7.130633e-04 -1.813082e-04 -0.003323434
    > [7,] -0.0034193386 -1.683588e-03 2.825669e-02 -0.018517049
    > [8,] 0.0003547430 -1.092084e-03 1.220151e-03 -0.002013193
    > [9,] -0.0416447714 -2.133556e-03 6.008642e-02 -0.113067650
    > [10,] 0.0002513065 5.699841e-05 -3.418599e-06 0.008852989
    321,323c321,323
    < [2,] -0.210843382 0.000000000 -0.075864364 0.045958568 -0.48096627
    < [3,] 0.541387742 0.541387742 0.216972750 -0.555466231 -1.40881560
    < [4,] 0.033934831 0.033934831 0.003755999 -0.024734800 1.25977208
    ---
    > [2,] -0.210843382 0.000000000 -0.075864365 0.045958568 -0.48096627
    > [3,] 0.541387742 0.541387742 0.216972751 -0.555466231 -1.40881560
    > [4,] 0.033934831 0.033934831 0.003756000 -0.024734800 1.25977208
    333c333
    < [3,] -1.40881560 -0.564613073 1.445451078 -9.941630e-01 -0.99416299
    ---
    > [3,] -1.40881560 -0.564613074 1.445451078 -9.941630e-01 -0.99416298
    338c338
    < [8,] 0.00000000 0.129945530 -0.010134230 3.901243e-03 0.00000000
    ---
    > [8,] 0.00000000 0.129945530 -0.010134230 3.901242e-03 0.00000000
    351c351
    < [10,] -3.844480e-06 1.019584e-05 2.1488059 0.0000000 -1.01593697 2.69420490
    ---
    > [10,] -3.844480e-06 1.019629e-05 2.1488059 0.0000000 -1.01593697 2.69420490
    353c353
    < [1,] -0.374754461 0.00000000 -0.458730115 0.400171698 0.1253096387
    ---
    > [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096387
    356,357c356,357
    < [4,] -0.702249320 -0.70224932 -0.077726861 0.511863370 0.0932493380
    < [5,] -1.471345146 -1.47134515 0.817834156 0.919648493 0.0140945029
    ---
    > [4,] -0.702249319 -0.70224932 -0.077726861 0.511863370 0.0932493380
    > [5,] -1.471345146 -1.47134514 0.817834156 0.919648493 0.0140945029
    359c359
    < [7,] 0.258283228 0.25828323 0.128586428 0.216386343 0.0380969802
    ---
    > [7,] 0.258283228 0.25828323 0.128586428 0.216386342 0.0380969803
    361c361
    < [9,] -0.561014445 0.00000000 -0.393470792 0.638511263 0.1742683347
    ---
    > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
    364c364
    < [1,] -2.974299e-02 0.1686612450 -0.317886056 -0.0208711777 0.0003426259
    ---
    > [1,] -2.974299e-02 0.1686612452 -0.317886056 -0.0208711775 0.0003426259
    367,371c367,371
    < [4,] 5.409158e-02 -0.0027152374 -0.032249331 0.8408145913 -0.7549200989
    < [5,] 3.817985e-03 -0.0000798539 -0.007061573 0.2433485378 -0.3932870731
    < [6,] -2.598991e-03 0.1382851829 -0.004564789 -0.0038689898 0.0037047267
    < [7,] -1.682984e-02 0.0492816126 -0.048184397 -0.0366696570 0.0034465556
    < [8,] 2.860690e-03 -0.0043812433 0.001581939 -0.0012885915 0.0079515814
    ---
    > [4,] 5.409158e-02 -0.0027152378 -0.032249331 0.8408145913 -0.7549200984
    > [5,] 3.817985e-03 -0.0000798539 -0.007061574 0.2433485378 -0.3932870731
    > [6,] -2.598991e-03 0.1382851830 -0.004564789 -0.0038689896 0.0037047264
    > [7,] -1.682984e-02 0.0492816124 -0.048184397 -0.0366696570 0.0034465556
    > [8,] 2.860690e-03 -0.0043812432 0.001581939 -0.0012885915 0.0079515814
    375,384c375,384
    < [1,] -5.483544e-03 -1.847995e-03 1.008905e-02 -0.032388242
    < [2,] 8.015302e-01 6.566873e-01 7.021445e-01 0.624207469
    < [3,] 4.457558e-01 7.163384e-01 1.268288e-01 0.151695541
    < [4,] -7.071316e-01 -1.072652e-01 -7.800969e-01 0.559949039
    < [5,] -2.331604e+00 -1.072568e-03 -3.269652e-01 0.343980942
    < [6,] 9.094553e-05 7.130634e-04 -1.813084e-04 -0.003323434
    < [7,] -3.419339e-03 -1.683588e-03 2.825669e-02 -0.018517049
    < [8,] 3.547431e-04 -1.092084e-03 1.220151e-03 -0.002013193
    < [9,] -4.164477e-02 -2.133556e-03 6.008642e-02 -0.113067650
    < [10,] 2.513065e-04 5.699841e-05 -3.418155e-06 0.008852989
    ---
    > [1,] -0.0054835436 -1.847995e-03 1.008905e-02 -0.032388242
    > [2,] 0.8015301858 6.566873e-01 7.021445e-01 0.624207469
    > [3,] 0.4457558145 7.163384e-01 1.268288e-01 0.151695541
    > [4,] -0.7071316235 -1.072652e-01 -7.800969e-01 0.559949039
    > [5,] -2.3316036613 -1.072568e-03 -3.269652e-01 0.343980942
    > [6,] 0.0000909457 7.130633e-04 -1.813082e-04 -0.003323434
    > [7,] -0.0034193386 -1.683588e-03 2.825669e-02 -0.018517049
    > [8,] 0.0003547430 -1.092084e-03 1.220151e-03 -0.002013193
    > [9,] -0.0416447714 -2.133556e-03 6.008642e-02 -0.113067650
    > [10,] 0.0002513065 5.699841e-05 -3.418599e-06 0.008852989
    387,390c387,390
    < [1,] -4.303616e-07 NaN -4.296725e-07 -4.304642e-07 -1.157869e-06
    < [2,] 9.414945e-07 NaN 9.437906e-07 9.459054e-07 6.583323e-07
    < [3,] -6.586844e-07 -6.586844e-07 -6.579416e-07 -6.585779e-07 3.650267e-07
    < [4,] -1.491865e-06 -1.491865e-06 -1.442121e-06 -1.483237e-06 -3.535731e-07
    ---
    > [1,] -4.300940e-07 NaN -4.296235e-07 -4.296953e-07 -1.154900e-06
    > [2,] 9.414945e-07 NaN 9.379368e-07 9.459054e-07 6.583323e-07
    > [3,] -6.586844e-07 -6.586844e-07 -6.599883e-07 -6.585779e-07 3.653419e-07
    > [4,] -1.491865e-06 -1.491865e-06 -1.560355e-06 -1.483237e-06 -3.532206e-07
    392,395c392,395
    < [6,] -7.815030e-07 -7.815030e-07 -7.821396e-07 -7.831860e-07 -1.230456e-06
    < [7,] 8.278551e-07 8.278551e-07 8.264088e-07 8.277619e-07 1.190323e-06
    < [8,] -7.668953e-07 NaN -7.658520e-07 -7.752932e-07 1.008978e-06
    < [9,] -6.611487e-07 NaN -6.610581e-07 -6.617284e-07 -9.335293e-07
    ---
    > [6,] -7.812612e-07 -7.812612e-07 -7.822173e-07 -7.836694e-07 -1.230456e-06
    > [7,] 8.269576e-07 8.269576e-07 8.255113e-07 8.268644e-07 1.194481e-06
    > [8,] -7.683174e-07 NaN -7.665630e-07 -7.760043e-07 1.011078e-06
    > [9,] -6.611487e-07 NaN -6.602954e-07 -6.612584e-07 -9.322813e-07
    398c398
    < [1,] NaN -1.152713e-06 -1.155963e-06 1.062045e-06 NaN
    ---
    > [1,] NaN -1.152713e-06 -1.155963e-06 1.065088e-06 NaN
    400,401c400,401
    < [3,] 3.650267e-07 3.655564e-07 3.645031e-07 5.521170e-07 5.521170e-07
    < [4,] -3.535731e-07 -3.533580e-07 -3.532893e-07 -6.034286e-07 -6.034286e-07
    ---
    > [3,] 3.653419e-07 3.647698e-07 3.645031e-07 5.530104e-07 5.530104e-07
    > [4,] -3.532206e-07 -3.533580e-07 -3.532893e-07 -6.034286e-07 -6.034286e-07
    404,407c404,407
    < [7,] 1.190323e-06 1.199923e-06 1.189188e-06 -7.316020e-07 -7.316020e-07
    < [8,] NaN 1.016522e-06 1.010550e-06 -1.558086e-06 NaN
    < [9,] NaN -9.332016e-07 -9.328448e-07 8.519903e-07 NaN
    < [10,] NaN 1.790046e-06 1.639254e-06 -5.460900e-05 NaN
    ---
    > [7,] 1.194481e-06 1.193658e-06 1.189188e-06 -7.322635e-07 -7.322635e-07
    > [8,] NaN 1.017590e-06 9.968565e-07 -1.522513e-06 NaN
    > [9,] NaN -9.319535e-07 -9.326933e-07 8.509306e-07 NaN
    > [10,] NaN 1.790046e-06 1.701907e-06 -5.460900e-05 NaN
    409,415c409,415
    < [1,] 1.066893e-06 1.064826e-06 -1.026694e-06 NaN -1.028349e-06
    < [2,] 6.763115e-07 6.781668e-07 9.753405e-07 NaN 9.818332e-07
    < [3,] 5.515824e-07 5.516293e-07 1.002331e-06 1.002331e-06 1.001204e-06
    < [4,] -6.042140e-07 -6.032343e-07 6.404294e-07 6.397123e-07 6.340468e-07
    < [5,] -8.960039e-07 -8.976116e-07 7.501135e-07 7.501135e-07 7.493166e-07
    < [6,] 1.300913e-06 1.303126e-06 -7.370245e-07 -7.370245e-07 -7.352409e-07
    < [7,] -7.332663e-07 -7.330731e-07 1.036065e-06 1.036065e-06 1.033445e-06
    ---
    > [1,] 1.061921e-06 1.061976e-06 -1.026694e-06 NaN -1.028349e-06
    > [2,] 6.763115e-07 6.781668e-07 9.753405e-07 NaN 9.783756e-07
    > [3,] 5.520291e-07 5.520760e-07 1.001000e-06 1.001000e-06 1.001204e-06
    > [4,] -6.042140e-07 -6.032343e-07 6.411466e-07 6.404294e-07 6.347639e-07
    > [5,] -9.006331e-07 -9.017283e-07 7.480124e-07 7.480124e-07 7.493166e-07
    > [6,] 1.296850e-06 1.298821e-06 -7.363746e-07 -7.363746e-07 -7.348772e-07
    > [7,] -7.299474e-07 -7.316221e-07 1.034119e-06 1.034119e-06 1.035408e-06
    417,418c417,418
    < [9,] 8.532140e-07 8.523551e-07 -8.015321e-07 NaN -8.012891e-07
    < [10,] 3.274424e-05 -1.720372e-05 -2.275414e-07 NaN -2.276640e-07
    ---
    > [9,] 8.521543e-07 8.512955e-07 -8.024168e-07 NaN -8.025505e-07
    > [10,] 3.274424e-05 -6.075698e-05 -2.273347e-07 NaN -2.272269e-07
    420,421c420,421
    < [1,] -1.027364e-06 5.936919e-07 NaN 5.932147e-07 5.939315e-07
    < [2,] 9.790036e-07 3.467404e-07 NaN 3.471108e-07 3.471978e-07
    ---
    > [1,] -1.029330e-06 5.930994e-07 NaN 5.936987e-07 5.939315e-07
    > [2,] 9.732962e-07 3.464034e-07 NaN 3.467738e-07 3.468608e-07
    423,429c423,429
    < [4,] 6.404191e-07 5.141258e-07 5.147582e-07 5.220987e-07 5.137120e-07
    < [5,] 7.481537e-07 3.117855e-07 3.120874e-07 3.116675e-07 3.114816e-07
    < [6,] -7.344145e-07 1.275193e-06 1.275193e-06 1.251869e-06 1.270374e-06
    < [7,] 1.039372e-06 -6.937733e-07 -6.937733e-07 -6.920164e-07 -6.951866e-07
    < [8,] 8.006186e-07 -1.349087e-06 NaN -1.371885e-06 -1.394012e-06
    < [9,] -7.997367e-07 5.105707e-07 NaN 5.109671e-07 5.104353e-07
    < [10,] -2.270320e-07 -1.432755e-06 NaN -1.396681e-06 -1.406831e-06
    ---
    > [4,] 6.411362e-07 5.153906e-07 5.153906e-07 5.220987e-07 5.137120e-07
    > [5,] 7.481537e-07 3.117855e-07 3.123892e-07 3.116675e-07 3.114816e-07
    > [6,] -7.347998e-07 1.284237e-06 1.284237e-06 1.247886e-06 1.259543e-06
    > [7,] 1.037426e-06 -6.937733e-07 -6.937733e-07 -6.913716e-07 -6.937723e-07
    > [8,] 7.904802e-07 -1.349087e-06 NaN -1.371885e-06 -1.394012e-06
    > [9,] -7.997367e-07 5.101749e-07 NaN 5.109671e-07 5.104353e-07
    > [10,] -2.270320e-07 -1.432755e-06 NaN -1.649215e-06 -1.406831e-06
    431,440c431,440
    < [1,] -6.060129e-07 -9.107841e-07 -4.660454e-07 1.508768e-07 -1.021326e-06
    < [2,] 3.835718e-07 2.505228e-07 7.850865e-07 -6.044108e-07 4.530126e-07
    < [3,] 4.484041e-07 3.527676e-08 -2.386855e-06 -3.991747e-07 -9.241810e-07
    < [4,] -2.371668e-06 -6.567961e-07 -6.378624e-06 2.754099e-08 -7.214740e-07
    < [5,] -5.324847e-06 5.815754e-07 -1.668381e-05 2.326861e-06 -9.672024e-07
    < [6,] 5.700320e-07 -1.388318e-06 4.973658e-07 -1.495769e-06 -1.965637e-06
    < [7,] 8.043198e-07 -2.223105e-06 7.896113e-07 -7.592053e-07 -7.720467e-07
    < [8,] -8.137750e-06 1.581492e-06 -4.086134e-06 2.000163e-06 -2.649355e-06
    < [9,] 3.746011e-07 -1.535959e-06 3.382743e-07 -1.086679e-07 -8.009894e-07
    < [10,] -8.138671e-07 0.000000e+00 1.244240e-06 -1.383264e-06 0.000000e+00
    ---
    > [1,] -6.060129e-07 -9.107841e-07 -4.660454e-07 1.508768e-07 -1.010687e-06
    > [2,] 3.835718e-07 2.505228e-07 7.877034e-07 -6.044108e-07 4.530126e-07
    > [3,] 4.484041e-07 3.645265e-08 -2.386855e-06 -3.991747e-07 -9.241810e-07
    > [4,] -2.371668e-06 -6.567961e-07 -6.542178e-06 2.754099e-08 -7.214740e-07
    > [5,] -5.324847e-06 5.815754e-07 -1.112254e-05 2.263973e-06 -9.672024e-07
    > [6,] 5.700320e-07 -1.452394e-06 4.969643e-07 -1.532252e-06 -1.922593e-06
    > [7,] 8.043198e-07 -2.242896e-06 7.963697e-07 -7.695738e-07 -7.765881e-07
    > [8,] -7.980041e-06 1.630004e-06 -4.054458e-06 2.000163e-06 -2.649355e-06
    > [9,] 3.746011e-07 -1.535959e-06 3.382743e-07 -1.095586e-07 -8.009894e-07
    > [10,] -8.138671e-07 0.000000e+00 1.244910e-06 -1.383264e-06 0.000000e+00
    442c442
    < [1,] 2.333042e-05 -3.644361e-06 8.771266e-06 1.826703e-06 -8.638203e-07
    ---
    > [1,] 2.333042e-05 -3.603868e-06 8.891421e-06 1.804694e-06 -8.569646e-07
    444,451c444,451
    < [3,] -6.903541e-07 -6.973828e-07 5.331512e-08 7.913359e-07 7.406584e-07
    < [4,] 5.282574e-07 6.236188e-07 -3.225141e-06 1.104392e-07 -1.054808e-07
    < [5,] 9.914140e-07 1.100127e-06 -3.726386e-06 9.914973e-07 -7.759081e-07
    < [6,] 3.206549e-06 3.051890e-06 1.089884e-06 4.286376e-06 -1.970948e-06
    < [7,] 2.367622e-06 -2.305295e-06 2.143175e-06 1.300520e-06 -4.976415e-07
    < [8,] 1.675475e-06 7.824134e-07 5.083050e-07 -1.478598e-06 -1.227029e-06
    < [9,] 2.358508e-06 -1.487592e-06 -1.665161e-06 8.536423e-07 -3.986556e-07
    < [10,] 3.714480e-06 5.301365e-06 -1.558251e-05 0.000000e+00 -2.809107e-06
    ---
    > [3,] -6.903541e-07 -6.973828e-07 5.331512e-08 7.913359e-07 7.435859e-07
    > [4,] 5.294339e-07 6.236188e-07 -3.229282e-06 1.098700e-07 -1.054808e-07
    > [5,] 9.914140e-07 1.100127e-06 -3.312344e-06 9.914973e-07 -7.759081e-07
    > [6,] 3.296452e-06 1.220754e-06 1.323430e-06 5.204891e-06 -1.920839e-06
    > [7,] 2.415940e-06 -2.353998e-06 1.945344e-06 1.306413e-06 -4.976415e-07
    > [8,] 1.675475e-06 1.173620e-06 4.066439e-07 -1.478598e-06 -1.158095e-06
    > [9,] 2.358508e-06 -1.476929e-06 -1.769233e-06 8.573377e-07 -3.986556e-07
    > [10,] 3.714480e-06 5.301365e-06 -1.558251e-05 -1.299039e-04 -2.859270e-06
    453c453
    < [1] -5.460900e-05 3.274424e-05
    ---
    > [1] -1.299039e-04 3.274424e-05
    456,459c456,459
    < [1,] -3.570477e-07 0.000000e+00 -4.363557e-07 3.813549e-07 -8.659740e-08
    < [2,] -1.985079e-07 0.000000e+00 -7.160007e-08 4.347246e-08 -3.166356e-07
    < [3,] -3.566036e-07 -3.566036e-07 -1.427554e-07 3.658178e-07 -5.142553e-07
    < [4,] -5.062617e-08 -5.062617e-08 -5.416604e-09 3.668757e-08 -4.454215e-07
    ---
    > [1,] -3.568257e-07 0.000000e+00 -4.363060e-07 3.806737e-07 -8.637535e-08
    > [2,] -1.985079e-07 0.000000e+00 -7.115598e-08 4.347246e-08 -3.166356e-07
    > [3,] -3.566036e-07 -3.566036e-07 -1.431995e-07 3.658178e-07 -5.146994e-07
    > [4,] -5.062617e-08 -5.062617e-08 -5.860693e-09 3.668757e-08 -4.449774e-07
    461,464c461,464
    < [6,] -1.794676e-07 -1.794676e-07 -3.209542e-07 3.033586e-07 -4.568568e-08
    < [7,] -1.535994e-07 -1.535994e-07 -7.633592e-08 -1.286691e-07 -6.356027e-08
    < [8,] -1.496858e-07 0.000000e+00 2.939742e-07 -2.320918e-08 -6.666889e-08
    < [9,] -2.744471e-07 0.000000e+00 -1.924587e-07 3.126323e-07 -1.660894e-07
    ---
    > [6,] -1.794120e-07 -1.794120e-07 -3.209860e-07 3.035459e-07 -4.568568e-08
    > [7,] -1.534328e-07 -1.534328e-07 -7.625301e-08 -1.285295e-07 -6.378231e-08
    > [8,] -1.499634e-07 0.000000e+00 2.942471e-07 -2.323047e-08 -6.680767e-08
    > [9,] -2.744471e-07 0.000000e+00 -1.922367e-07 3.124102e-07 -1.658673e-07
    467c467
    < [1,] 0.000000e+00 -1.055302e-07 9.231850e-08 -7.749357e-08 0.000000e+00
    ---
    > [1,] 0.000000e+00 -1.055302e-07 9.231850e-08 -7.771561e-08 0.000000e+00
    469,470c469,470
    < [3,] -5.142553e-07 -2.063979e-07 5.268713e-07 -5.488943e-07 -5.488943e-07
    < [4,] -4.454215e-07 -4.927047e-08 3.244033e-07 -4.947154e-07 -4.947154e-07
    ---
    > [3,] -5.146994e-07 -2.059538e-07 5.268713e-07 -5.497824e-07 -5.497824e-07
    > [4,] -4.449774e-07 -4.927047e-08 3.244033e-07 -4.947154e-07 -4.947154e-07
    473,476c473,476
    < [7,] -6.356027e-08 -3.189871e-08 -5.319920e-08 -1.841860e-07 -1.841860e-07
    < [8,] 0.000000e+00 1.320925e-07 -1.024115e-08 -6.078471e-09 0.000000e+00
    < [9,] 0.000000e+00 -1.164469e-07 1.888938e-07 -1.785239e-07 0.000000e+00
    < [10,] 0.000000e+00 4.784493e-09 -1.161935e-08 -4.440892e-10 0.000000e+00
    ---
    > [7,] -6.378231e-08 -3.173218e-08 -5.319920e-08 -1.843525e-07 -1.843525e-07
    > [8,] 0.000000e+00 1.322313e-07 -1.010237e-08 -5.939693e-09 0.000000e+00
    > [9,] 0.000000e+00 -1.162911e-07 1.888631e-07 -1.783018e-07 0.000000e+00
    > [10,] 0.000000e+00 4.784493e-09 -1.206344e-08 -4.440892e-10 0.000000e+00
    478,484c478,484
    < [1,] -9.529151e-08 8.296617e-08 -1.085798e-07 0.000000e+00 -1.331248e-07
    < [2,] -1.771068e-07 1.075855e-07 -3.481659e-07 0.000000e+00 -1.261089e-07
    < [3,] -2.197681e-07 5.626705e-07 -3.343992e-07 -3.343992e-07 -1.338669e-07
    < [4,] -5.482771e-08 3.604776e-07 -3.965717e-07 -3.961276e-07 -4.345618e-08
    < [5,] 8.595594e-08 9.683025e-08 -1.585398e-07 -1.585398e-07 8.802935e-08
    < [6,] -5.331339e-08 5.040887e-08 -1.888489e-07 -1.888489e-07 -3.366400e-07
    < [7,] -9.190568e-08 -1.546189e-07 -8.865131e-08 -8.865131e-08 -4.402349e-08
    ---
    > [1,] -9.484742e-08 8.274412e-08 -1.085798e-07 0.000000e+00 -1.331248e-07
    > [2,] -1.771068e-07 1.075855e-07 -3.481659e-07 0.000000e+00 -1.256648e-07
    > [3,] -2.199461e-07 5.631261e-07 -3.339551e-07 -3.339551e-07 -1.338669e-07
    > [4,] -5.482771e-08 3.604776e-07 -3.970158e-07 -3.965717e-07 -4.350533e-08
    > [5,] 8.640003e-08 9.727434e-08 -1.580958e-07 -1.580958e-07 8.802935e-08
    > [6,] -5.314686e-08 5.024234e-08 -1.886824e-07 -1.886824e-07 -3.364735e-07
    > [7,] -9.148970e-08 -1.543129e-07 -8.848478e-08 -8.848478e-08 -4.410711e-08
    486,487c486,487
    < [9,] -1.253886e-07 2.032716e-07 -2.011724e-07 0.000000e+00 -1.410507e-07
    < [10,] -1.258846e-10 -1.754065e-10 -4.889422e-07 0.000000e+00 2.312923e-07
    ---
    > [9,] -1.252329e-07 2.030189e-07 -2.013945e-07 0.000000e+00 -1.412727e-07
    > [10,] -1.258846e-10 -6.194957e-10 -4.884981e-07 0.000000e+00 2.308482e-07
    489,490c489,490
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    ---
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    ---
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    ---
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    ---
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    525,528c525,528
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    ---
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    ---
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    536c536
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    ---
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    ---
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    ---
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    > [9,] -1.337348e-10 2.680031e-09 0 NaN 7.922116e-10
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    ---
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    ---
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    ---
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    ---
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    ---
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    ---
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    < 8 -2.743903e-05 0.029831622 -4.700929e-06 6.862575e-02 -6.524488e-05
    < 9 -8.560854e-02 0.120954713 -9.343223e-02 8.113141e-05 -2.409296e-01
    < 10 -5.543774e-01 0.066425617 -8.285245e-04 2.539360e-01 -2.282120e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -3.632295e-01 -0.08943891 1.977093e-02 1.591514e-05 0.1420248561
    < 2 -3.768491e-01 -0.31931165 6.044471e-01 -1.631424e-01 0.5241591225
    < 3 -1.135030e-02 -0.41175299 7.904933e-01 -4.635800e-01 0.5500869225
    < 4 -3.314625e-03 -0.58210715 3.636302e-01 -7.025071e-01 0.7061238707
    < 5 -1.089359e-04 -0.51893323 6.279867e-03 -2.654331e-01 0.3940516126
    < 6 -3.301153e-02 -0.01901206 6.541076e-04 -6.812684e-05 0.0005968163
    < 7 -1.334499e-01 -0.13121740 4.717143e-03 -1.176622e-01 0.0369971035
    < 8 9.801049e-07 -0.05810581 8.723822e-06 -1.066800e-01 0.0001091351
    < 9 -1.744345e-01 -0.17772451 8.521228e-02 8.664103e-05 0.3140597858
    < 10 -1.859217e-01 -0.04826082 3.932144e-04 -1.184161e-01 -0.0000696598
    ---
    > 1 -1.531435e-01 0.077935542 -1.944982e-02 2.592913e-05 -0.1090486631
    > 2 -4.137112e-01 0.359684280 -6.716675e-01 2.251131e-01 -0.4229615792
    > 3 -1.746198e-02 0.193425397 -9.476729e-01 4.743547e-01 -0.4218206775
    > 4 -9.915757e-03 0.304400469 -4.505573e-01 6.900180e-01 -0.4797086108
    > 5 6.220466e-05 0.274378118 -8.324586e-03 2.080557e-01 -0.2374978839
    > 6 -1.075014e-02 0.009675403 -7.673353e-04 -4.701639e-05 -0.0004797448
    > 7 -4.005841e-01 0.153215835 -6.413458e-03 2.053763e-01 -0.0255627164
    > 8 -2.743912e-05 0.029831622 -4.700973e-06 6.862575e-02 -0.0000652451
    > 9 -8.560854e-02 0.120954713 -9.343223e-02 8.113135e-05 -0.2409295695
    > 10 -5.543774e-01 0.066425617 -8.285249e-04 2.539360e-01 -0.0002282124
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -3.632295e-01 -0.08943891 1.977093e-02 1.591529e-05 1.420249e-01
    > 2 -3.768491e-01 -0.31931165 6.044471e-01 -1.631424e-01 5.241591e-01
    > 3 -1.135030e-02 -0.41175299 7.904933e-01 -4.635800e-01 5.500869e-01
    > 4 -3.314625e-03 -0.58210715 3.636302e-01 -7.025071e-01 7.061239e-01
    > 5 -1.089357e-04 -0.51893323 6.279867e-03 -2.654331e-01 3.940516e-01
    > 6 -3.301153e-02 -0.01901206 6.541076e-04 -6.812517e-05 5.968163e-04
    > 7 -1.334499e-01 -0.13121740 4.717143e-03 -1.176622e-01 3.699710e-02
    > 8 9.803047e-07 -0.05810581 8.723178e-06 -1.066800e-01 1.091348e-04
    > 9 -1.744345e-01 -0.17772451 8.521228e-02 8.664152e-05 3.140598e-01
    > 10 -1.859217e-01 -0.04826082 3.932133e-04 -1.184161e-01 -6.966002e-05
    1673,1683c1673,1683
    < 1 0.681209657 0.032844570 0.046417164 0.0003190127 -0.020617448
    < 5 0.009424934 0.001570433 -0.006289361 -0.0120181769 -0.004297131
    < 10 3.544598352 -0.117497119 0.001242507 -0.7858824677 0.001406432
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -1.117101469 -0.153046965 -0.028488712 0.0005942716 -0.074547425
    < 5 -0.000339061 0.005843241 0.001788236 0.0071308938 -0.004619646
    < 10 -4.204100716 0.175550500 -0.001339740 0.6974427466 -0.003506590
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -1.5151173675 0.31839620 0.020875065 -0.0001040305 0.063901524
    < 5 -0.0001078056 -0.01584209 -0.001379851 -0.0073525046 0.009758531
    < 10 -3.0983158992 -0.20028929 -0.001125441 -0.1943050397 0.001298184
    ---
    > 1 0.681209658 0.032844571 0.046417164 0.000319013 -0.020617448
    > 5 0.009424934 0.001570433 -0.006289361 -0.012018177 -0.004297131
    > 10 3.544598352 -0.117497119 0.001242507 -0.785882468 0.001406431
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -1.1169015671 -0.153338794 -0.0284885140 0.0006198739 -0.074524063
    > 5 -0.0002997922 0.005847894 0.0017699012 0.0071335723 -0.004616638
    > 10 -4.2035764600 0.175564067 -0.0009123462 0.6975300569 -0.003387241
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -1.515514e+00 0.31855628 0.0208738743 -9.676582e-05 0.063874324
    > 5 -9.746379e-05 -0.01584764 -0.0013130029 -7.346336e-03 0.009786269
    > 10 -3.097683e+00 -0.20027033 -0.0009304087 -1.941095e-01 0.003315277
    1688,1698c1688,1698
    < 1 0.032844570 0.13376346 1.441998e-02 -0.0001593829 -1.836871e-03
    < 5 0.001570433 0.24735075 1.133995e-01 -0.0422548364 -8.146955e-02
    < 10 -0.117497119 0.02083594 -3.859276e-05 0.0606982137 -4.583749e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0376980440 -0.13979420 -0.0061347077 -0.0001232229 2.413813e-03
    < 5 -0.0003686404 0.09607126 -0.0164009071 0.0668522174 -8.836706e-02
    < 10 0.1545461819 -0.05362917 0.0000163268 -0.0715768248 7.318753e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.183930750 0.16997975 0.0064431510 0.0003258147 -3.782301e-03
    < 5 -0.000176266 -0.15277281 0.0126368606 -0.0459633487 1.384931e-01
    < 10 0.117291743 0.03113278 0.0001828998 0.0133656413 -1.035083e-05
    ---
    > 1 0.032844571 0.13376346 1.441998e-02 -0.0001593828 -1.836871e-03
    > 5 0.001570433 0.24735075 1.133995e-01 -0.0422548363 -8.146955e-02
    > 10 -0.117497119 0.02083594 -3.859274e-05 0.0606982137 -4.583743e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -3.754151e-02 -0.13973248 -6.134243e-03 9.045735e-05 0.0024164612
    > 5 -5.288428e-05 0.09608458 -1.627438e-02 6.687077e-02 -0.0883013200
    > 10 1.544938e-01 -0.05362981 -1.354113e-06 -7.159093e-02 0.0001490507
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.184241048 0.1698549 0.0064438973 -3.305815e-05 -0.0037879221
    > 5 0.000110006 -0.1527111 0.0126377901 -4.588116e-02 0.1386856608
    > 10 0.117197378 0.0311304 0.0001222085 1.335595e-02 -0.0001311109
    1703,1713c1703,1713
    < 1 0.046417164 1.441998e-02 6.675280e-02 -0.0012667457 -3.319975e-02
    < 5 -0.006289361 1.133995e-01 4.966058e-01 -0.0071332397 1.875787e-02
    < 10 0.001242507 -3.859276e-05 7.615533e-06 -0.0007212925 3.307952e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0972881902 -1.572325e-02 -3.535027e-02 -0.0001298946 -1.185248e-01
    < 5 0.0009042378 -2.440150e-02 -1.077762e-01 0.1404912851 -3.539447e-02
    < 10 -0.0015499902 5.006702e-05 -5.601664e-05 0.0010715665 -6.880328e-06
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.1097977555 3.407226e-02 3.571614e-02 0.0001187300 1.662005e-01
    < 5 -0.0009125163 4.908230e-02 8.139142e-02 -0.2029481446 5.056163e-02
    < 10 -0.0011857211 -6.636748e-05 4.477436e-05 -0.0002331705 4.229155e-06
    ---
    > 1 0.046417164 1.441998e-02 6.675280e-02 -0.0012667456 -3.319975e-02
    > 5 -0.006289361 1.133995e-01 4.966058e-01 -0.0071332395 1.875787e-02
    > 10 0.001242507 -3.859274e-05 7.615531e-06 -0.0007212926 3.307953e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.097225921 -1.565141e-02 -3.534945e-02 0.0001712073 -1.185206e-01
    > 5 0.001204782 -2.453862e-02 -1.078506e-01 0.1404522502 -3.539889e-02
    > 10 -0.001550243 5.006915e-05 -5.506783e-05 0.0010717282 -4.851751e-06
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.1098751936 3.410170e-02 3.571570e-02 -4.726227e-05 1.661989e-01
    > 5 -0.0009524318 4.912317e-02 8.154297e-02 -2.028733e-01 5.072993e-02
    > 10 -0.0011853488 -6.641933e-05 4.272653e-05 -2.333415e-04 2.984698e-06
    1718,1728c1718,1728
    < 1 0.0003190127 -0.0001593829 -0.0012667457 9.883138e-05 0.0006512071
    < 5 -0.0120181769 -0.0422548364 -0.0071332397 4.199896e-01 0.0019320786
    < 10 -0.7858824677 0.0606982137 -0.0007212925 5.208348e-01 -0.0004198401
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0002033033 1.159758e-05 0.0006169611 -1.355487e-06 0.0022983669
    < 5 0.0014852537 -1.089128e-02 -0.0517627768 -9.788892e-02 0.0017084200
    < 10 1.0214576020 -1.334055e-01 0.0029938128 -7.372610e-01 0.0003262297
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0009381967 -0.0001383023 -0.0006331416 -2.097635e-06 -0.0033055184
    < 5 -0.0005216860 0.0142275407 0.0367928704 1.493729e-01 -0.0174696226
    < 10 0.7712752333 0.0967135107 -0.0009552501 1.281965e-01 -0.0004439061
    ---
    > 1 0.000319013 -0.0001593828 -0.0012667456 9.883137e-05 0.0006512071
    > 5 -0.012018177 -0.0422548363 -0.0071332395 4.199896e-01 0.0019320785
    > 10 -0.785882468 0.0606982137 -0.0007212926 5.208348e-01 -0.0004198399
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0002041637 1.116733e-05 0.0006169258 -7.709117e-06 0.0022984766
    > 5 0.0014097311 -1.104164e-02 -0.0522346362 -9.793466e-02 0.0011544358
    > 10 1.0211451060 -1.334073e-01 0.0027967372 -7.373045e-01 0.0004213342
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0009371763 -0.0001439648 -0.0006331272 3.662629e-06 -0.0033054727
    > 5 -0.0002727514 0.0142905810 0.0369909200 1.494160e-01 -0.0172465989
    > 10 0.7708771208 0.0967034450 -0.0011722083 1.281425e-01 -0.0007989053
    1734,1735c1734,1735
    < 5 -0.004297131 -8.146955e-02 1.875787e-02 0.0019320786 2.114720e-01
    < 10 0.001406432 -4.583749e-05 3.307952e-07 -0.0004198401 7.352693e-07
    ---
    > 5 -0.004297131 -8.146955e-02 1.875787e-02 0.0019320785 2.114720e-01
    > 10 0.001406431 -4.583743e-05 3.307953e-07 -0.0004198399 7.352687e-07
    1737,1743c1737,1743
    < 1 0.0460915046 -9.608435e-03 2.154274e-02 5.245573e-05 1.090391e-01
    < 5 0.0006731567 -2.703734e-02 -4.513969e-03 1.906336e-02 2.393159e-01
    < 10 -0.0017027085 6.446917e-05 1.137767e-06 4.838323e-04 -6.861918e-07
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0312130733 9.193764e-03 -2.146771e-02 -1.353301e-05 -1.550634e-01
    < 5 -0.0003658499 8.676474e-02 2.815749e-03 -4.927458e-02 -4.243730e-01
    < 10 -0.0012557760 -7.922694e-05 -2.936963e-06 -9.592203e-05 -1.732284e-07
    ---
    > 1 0.0460698877 -9.702575e-03 2.154187e-02 -0.0001684079 1.090350e-01
    > 5 0.0002824631 -2.709406e-02 -4.243048e-03 0.0190275575 2.392568e-01
    > 10 -0.0017023111 6.447466e-05 1.432985e-06 0.0004838769 -8.068193e-07
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.031160190 9.090536e-03 -2.146734e-02 -4.994463e-06 -1.550631e-01
    > 5 -0.000687166 8.671953e-02 2.602261e-03 -4.935279e-02 -4.245459e-01
    > 10 -0.001255453 -7.920541e-05 -2.369264e-06 -9.581532e-05 8.653899e-07
    1748,1758c1748,1758
    < 1 -1.117101469 -0.0376980440 -0.0972881902 -0.0002033033 0.0460915046
    < 5 -0.000339061 -0.0003686404 0.0009042378 0.0014852537 0.0006731567
    < 10 -4.204100716 0.1545461819 -0.0015499902 1.0214576020 -0.0017027085
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 1.974390e+00 0.1864909062 0.0557862418 -0.001235021 0.1701714278
    < 5 3.776604e-05 -0.0002737324 -0.0003673159 -0.000366469 0.0005353963
    < 10 5.241323e+00 -0.2751030300 0.0015603212 -1.099158075 0.0037196676
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 2.469101e+00 -0.5147591949 -0.0459394770 0.0002634589 -0.1598153541
    < 5 -1.762066e-05 0.0008995155 0.0002625461 0.0002984965 -0.0013110593
    < 10 3.765546e+00 0.2505794171 0.0022232065 0.2140858067 -0.0008297245
    ---
    > 1 -1.1169015671 -3.754151e-02 -0.097225921 -0.0002041637 0.0460698877
    > 5 -0.0002997922 -5.288428e-05 0.001204782 0.0014097311 0.0002824631
    > 10 -4.2035764600 1.544938e-01 -0.001550243 1.0211451060 -0.0017023111
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 1.974272e+00 0.1868057844 0.0557594426 -1.156332e-03 1.702182e-01
    > 5 3.841992e-05 -0.0001288171 -0.0004347567 5.644131e-05 -3.730395e-05
    > 10 5.239858e+00 -0.2750002811 0.0012735115 -1.098837e+00 3.583338e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 2.469028e+00 -0.5146228431 -0.0459112140 -2.784437e-05 -0.159840294
    > 5 -1.929414e-05 0.0002852799 0.0003084255 -1.574826e-04 -0.000260798
    > 10 3.764316e+00 0.2504556141 0.0018073845 2.137223e-01 -0.003163122
    1763,1773c1763,1773
    < 1 -0.153046965 -0.13979420 -1.572325e-02 1.159758e-05 -9.608435e-03
    < 5 0.005843241 0.09607126 -2.440150e-02 -1.089128e-02 -2.703734e-02
    < 10 0.175550500 -0.05362917 5.006702e-05 -1.334055e-01 6.446917e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.1864909062 0.2685675 1.030955e-02 6.250558e-05 -3.049575e-02
    < 5 -0.0002737324 0.2360425 8.118093e-03 4.484787e-03 -6.737493e-02
    < 10 -0.2751030300 0.1493911 8.694229e-05 1.748248e-01 -2.602209e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.4786428564 -0.3546928 -0.0097749465 -0.0004858963 0.0472643726
    < 5 -0.0001911158 -0.2990430 -0.0056918308 0.0080055471 0.0935751682
    < 10 -0.2011275473 -0.0773497 -0.0005723122 -0.0251667189 -0.0001383653
    ---
    > 1 -0.153338794 -0.13973248 -1.565141e-02 1.116733e-05 -9.702575e-03
    > 5 0.005847894 0.09608458 -2.453862e-02 -1.104164e-02 -2.709406e-02
    > 10 0.175564067 -0.05362981 5.006915e-05 -1.334073e-01 6.447466e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.1868057844 0.2684995 1.026219e-02 -0.0002490298 -0.0307401253
    > 5 -0.0001288171 0.2361919 8.223101e-03 0.0044956963 -0.0672869196
    > 10 -0.2750002811 0.1493929 8.584094e-05 0.1748555181 -0.0002050709
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.4798411614 -0.35467002 -0.0097276934 -9.552450e-06 0.0477033508
    > 5 -0.0002765534 -0.29912745 -0.0061185443 8.018592e-03 0.0934479358
    > 10 -0.2008905358 -0.07734526 -0.0004173537 -2.514560e-02 0.0001184889
    1778,1788c1778,1788
    < 1 -0.028488712 -0.0061347077 -3.535027e-02 0.0006169611 2.154274e-02
    < 5 0.001788236 -0.0164009071 -1.077762e-01 -0.0517627768 -4.513969e-03
    < 10 -0.001339740 0.0000163268 -5.601664e-05 0.0029938128 1.137767e-06
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0557862418 1.030955e-02 0.0227215445 9.603748e-05 7.166313e-02
    < 5 -0.0003673159 8.118093e-03 0.0320223274 -2.476876e-02 7.975484e-03
    < 10 0.0015603212 8.694229e-05 0.0004431236 -5.010142e-03 5.290202e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0634581689 -2.274368e-02 -0.0230543024 -0.0001058097 -9.943481e-02
    < 5 0.0002969029 -1.176642e-02 -0.0238368080 0.0345752062 -1.080999e-02
    < 10 0.0016943189 9.109634e-06 -0.0003574061 0.0012913770 -3.264349e-05
    ---
    > 1 -0.0284885140 -6.134243e-03 -3.534945e-02 0.0006169258 2.154187e-02
    > 5 0.0017699012 -1.627438e-02 -1.078506e-01 -0.0522346362 -4.243048e-03
    > 10 -0.0009123462 -1.354113e-06 -5.506783e-05 0.0027967372 1.432985e-06
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0557594426 1.026219e-02 0.0227206625 -8.911402e-05 7.165823e-02
    > 5 -0.0004347567 8.223101e-03 0.0321679011 -2.421288e-02 8.431925e-03
    > 10 0.0012735115 8.584094e-05 0.0004341852 -4.835943e-03 3.819636e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0634876756 -2.274560e-02 -0.02305357 1.125424e-05 -9.942958e-02
    > 5 0.0002800357 -1.169504e-02 -0.02395206 3.391614e-02 -1.140720e-02
    > 10 0.0013424380 -6.201132e-06 -0.00033604 1.276604e-03 -1.893333e-05
    1793,1803c1793,1803
    < 1 0.0005942716 -0.0001232229 -0.0001298946 -1.355487e-06 5.245573e-05
    < 5 0.0071308938 0.0668522174 0.1404912851 -9.788892e-02 1.906336e-02
    < 10 0.6974427466 -0.0715768248 0.0010715665 -7.372610e-01 4.838323e-04
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.001235021 6.250558e-05 9.603748e-05 8.718009e-06 0.0001040375
    < 5 -0.000366469 4.484787e-03 -2.476876e-02 3.205237e-01 -0.0025649244
    < 10 -1.099158075 1.748248e-01 -5.010142e-03 1.251140e+00 0.0004224032
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0006841204 0.0002647917 -9.693582e-05 -1.918576e-06 -0.0002424344
    < 5 0.0001802237 -0.0077896958 1.954408e-02 -3.576983e-01 0.0041319375
    < 10 -0.7892931096 -0.1075804037 1.809536e-03 -1.506987e-01 0.0002195056
    ---
    > 1 0.0006198739 9.045735e-05 0.0001712073 -7.709117e-06 -0.0001684079
    > 5 0.0071335723 6.687077e-02 0.1404522502 -9.793466e-02 0.0190275575
    > 10 0.6975300569 -7.159093e-02 0.0010717282 -7.373045e-01 0.0004838769
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -1.156332e-03 -0.0002490298 -8.911402e-05 9.134152e-06 -0.0005579779
    > 5 5.644131e-05 0.0044956963 -2.421288e-02 3.205547e-01 -0.0021255545
    > 10 -1.098837e+00 0.1748555181 -4.835943e-03 1.251214e+00 0.0002253370
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0010053706 0.0005433265 8.792193e-05 -3.383598e-06 0.0007272656
    > 5 0.0002159737 -0.0077237630 1.971415e-02 -3.576507e-01 0.0042441115
    > 10 -0.7890623250 -0.1075936295 2.153961e-03 -1.506817e-01 0.0003322047
    1808,1818c1808,1818
    < 1 -0.074547425 2.413813e-03 -1.185248e-01 0.0022983669 1.090391e-01
    < 5 -0.004619646 -8.836706e-02 -3.539447e-02 0.0017084200 2.393159e-01
    < 10 -0.003506590 7.318753e-05 -6.880328e-06 0.0003262297 -6.861918e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.1701714278 -3.049575e-02 7.166313e-02 0.0001040375 3.801066e-01
    < 5 0.0005353963 -6.737493e-02 7.975484e-03 -0.0025649244 3.506874e-01
    < 10 0.0037196676 -2.602209e-05 5.290202e-05 0.0004224032 1.742716e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.1146878312 0.0203678116 -7.073804e-02 2.005138e-06 -5.234886e-01
    < 5 -0.0002057568 0.1191115580 -7.004718e-03 -2.497056e-02 -5.650071e-01
    < 10 0.0027960333 0.0001438447 -4.150403e-05 2.697970e-04 -8.818199e-06
    ---
    > 1 -0.074524063 0.0024164612 -1.185206e-01 0.0022984766 1.090350e-01
    > 5 -0.004616638 -0.0883013200 -3.539889e-02 0.0011544358 2.392568e-01
    > 10 -0.003387241 0.0001490507 -4.851751e-06 0.0004213342 -8.068193e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 1.702182e-01 -0.0307401253 7.165823e-02 -0.0005579779 3.800901e-01
    > 5 -3.730395e-05 -0.0672869196 8.431925e-03 -0.0021255545 3.505131e-01
    > 10 3.583338e-03 -0.0002050709 3.819636e-05 0.0002253370 2.040649e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.114375625 0.0199462756 -7.073578e-02 9.563474e-05 -5.234779e-01
    > 5 -0.000653592 0.1187059126 -7.171637e-03 -2.575759e-02 -5.648879e-01
    > 10 0.002634761 0.0002860459 -2.438624e-05 3.174106e-04 -9.347271e-06
    1823,1833c1823,1833
    < 1 -1.5151173675 -0.183930750 -0.1097977555 -0.0009381967 0.0312130733
    < 5 -0.0001078056 -0.000176266 -0.0009125163 -0.0005216860 -0.0003658499
    < 10 -3.0983158992 0.117291743 -0.0011857211 0.7712752333 -0.0012557760
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 2.469101e+00 0.4786428564 0.0634581689 -0.0006841204 0.1146878312
    < 5 -1.762066e-05 -0.0001911158 0.0002969029 0.0001802237 -0.0002057568
    < 10 3.765546e+00 -0.2011275473 0.0016943189 -0.7892931096 0.0027960333
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 3.635576e+00 -8.562700e-01 -0.0505534748 -0.0003116699 -0.0843946740
    < 5 4.426568e-05 2.021913e-05 -0.0001867803 -0.0007874528 0.0013341846
    < 10 2.829301e+00 1.850435e-01 0.0010351283 0.1431894326 -0.0007851511
    ---
    > 1 -1.515514e+00 -0.184241048 -0.1098751936 -0.0009371763 0.031160190
    > 5 -9.746379e-05 0.000110006 -0.0009524318 -0.0002727514 -0.000687166
    > 10 -3.097683e+00 0.117197378 -0.0011853488 0.7708771208 -0.001255453
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 2.469028e+00 0.4798411614 0.0634876756 -0.0010053706 0.114375625
    > 5 -1.929414e-05 -0.0002765534 0.0002800357 0.0002159737 -0.000653592
    > 10 3.764316e+00 -0.2008905358 0.0013424380 -0.7890623250 0.002634761
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 3.637712e+00 -0.8575304993 -0.0505683577 -0.0006105466 -0.083896801
    > 5 5.368318e-05 -0.0001933717 -0.0001669076 -0.0007801894 0.001480701
    > 10 2.828161e+00 0.1848896656 0.0008764212 0.1429236557 -0.002409316
    1838,1848c1838,1848
    < 1 0.31839620 0.16997975 3.407226e-02 -0.0001383023 9.193764e-03
    < 5 -0.01584209 -0.15277281 4.908230e-02 0.0142275407 8.676474e-02
    < 10 -0.20028929 0.03113278 -6.636748e-05 0.0967135107 -7.922694e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.5147591949 -0.3546928 -2.274368e-02 0.0002647917 0.0203678116
    < 5 0.0008995155 -0.2990430 -1.176642e-02 -0.0077896958 0.1191115580
    < 10 0.2505794171 -0.0773497 9.109634e-06 -0.1075804037 0.0001438447
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -8.562700e-01 0.60879400 0.0233740310 0.0007783812 -6.144328e-02
    < 5 2.021913e-05 0.88528127 0.0082484016 0.0063620019 -3.549015e-01
    < 10 1.850435e-01 0.04942589 0.0002906434 0.0270482193 -3.469538e-05
    ---
    > 1 0.31855628 0.1698549 3.410170e-02 -0.0001439648 9.090536e-03
    > 5 -0.01584764 -0.1527111 4.912317e-02 0.0142905810 8.671953e-02
    > 10 -0.20027033 0.0311304 -6.641933e-05 0.0967034450 -7.920541e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.5146228431 -0.35467002 -2.274560e-02 0.0005433265 0.0199462756
    > 5 0.0002852799 -0.29912745 -1.169504e-02 -0.0077237630 0.1187059126
    > 10 0.2504556141 -0.07734526 -6.201132e-06 -0.1075936295 0.0002860459
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.8575304993 0.60840974 0.0233833110 0.0005723414 -0.0608347682
    > 5 -0.0001933717 0.88527485 0.0087367501 0.0062146832 -0.3544836234
    > 10 0.1848896656 0.04941825 0.0002036233 0.0270341961 -0.0002253552
    1853,1863c1853,1863
    < 1 0.020875065 0.0064431510 3.571614e-02 -0.0006331416 -2.146771e-02
    < 5 -0.001379851 0.0126368606 8.139142e-02 0.0367928704 2.815749e-03
    < 10 -0.001125441 0.0001828998 4.477436e-05 -0.0009552501 -2.936963e-06
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0459394770 -0.0097749465 -0.0230543024 -9.693582e-05 -7.073804e-02
    < 5 0.0002625461 -0.0056918308 -0.0238368080 1.954408e-02 -7.004718e-03
    < 10 0.0022232065 -0.0005723122 -0.0003574061 1.809536e-03 -4.150403e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0505534748 0.0233740310 0.0241746218 0.0001223416 1.004245e-01
    < 5 -0.0001867803 0.0082484016 0.0178620426 -0.0301086918 1.006327e-02
    < 10 0.0010351283 0.0002906434 0.0003122212 -0.0006846402 3.752447e-05
    ---
    > 1 0.0208738743 0.0064438973 3.571570e-02 -0.0006331272 -2.146734e-02
    > 5 -0.0013130029 0.0126377901 8.154297e-02 0.0369909200 2.602261e-03
    > 10 -0.0009304087 0.0001222085 4.272653e-05 -0.0011722083 -2.369264e-06
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0459112140 -0.0097276934 -0.02305357 8.792193e-05 -7.073578e-02
    > 5 0.0003084255 -0.0061185443 -0.02395206 1.971415e-02 -7.171637e-03
    > 10 0.0018073845 -0.0004173537 -0.00033604 2.153961e-03 -2.438624e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0505683577 0.0233833110 0.0241741765 5.055428e-05 1.004226e-01
    > 5 -0.0001669076 0.0087367501 0.0179439486 -2.996608e-02 1.010963e-02
    > 10 0.0008764212 0.0002036233 0.0002829794 -7.388569e-04 2.544273e-05
    1868,1878c1868,1878
    < 1 -0.0001040305 0.0003258147 0.0001187300 -2.097635e-06 -1.353301e-05
    < 5 -0.0073525046 -0.0459633487 -0.2029481446 1.493729e-01 -4.927458e-02
    < 10 -0.1943050397 0.0133656413 -0.0002331705 1.281965e-01 -9.592203e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0002634589 -0.0004858963 -0.0001058097 -1.918576e-06 2.005138e-06
    < 5 0.0002984965 0.0080055471 0.0345752062 -3.576983e-01 -2.497056e-02
    < 10 0.2140858067 -0.0251667189 0.0012913770 -1.506987e-01 2.697970e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0003116699 0.0007783812 0.0001223416 1.286729e-05 0.0000683719
    < 5 -0.0007874528 0.0063620019 -0.0301086918 5.847110e-01 0.0135949890
    < 10 0.1431894326 0.0270482193 -0.0006846402 7.396889e-02 -0.0002307292
    ---
    > 1 -9.676582e-05 -3.305815e-05 -4.726227e-05 3.662629e-06 -4.994463e-06
    > 5 -7.346336e-03 -4.588116e-02 -2.028733e-01 1.494160e-01 -4.935279e-02
    > 10 -1.941095e-01 1.335595e-02 -2.333415e-04 1.281425e-01 -9.581532e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -2.784437e-05 -9.552450e-06 1.125424e-05 -3.383598e-06 9.563474e-05
    > 5 -1.574826e-04 8.018592e-03 3.391614e-02 -3.576507e-01 -2.575759e-02
    > 10 2.137223e-01 -2.514560e-02 1.276604e-03 -1.506817e-01 3.174106e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0006105466 0.0005723414 5.055428e-05 1.961294e-05 0.0000666040
    > 5 -0.0007801894 0.0062146832 -2.996608e-02 5.845936e-01 0.0138759957
    > 10 0.1429236557 0.0270341961 -7.388569e-04 7.396294e-02 -0.0003993135
    1883,1893c1883,1893
    < 1 0.063901524 -3.782301e-03 1.662005e-01 -0.0033055184 -1.550634e-01
    < 5 0.009758531 1.384931e-01 5.056163e-02 -0.0174696226 -4.243730e-01
    < 10 0.001298184 -1.035083e-05 4.229155e-06 -0.0004439061 -1.732284e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.1598153541 0.0472643726 -9.943481e-02 -0.0002424344 -5.234886e-01
    < 5 -0.0013110593 0.0935751682 -1.080999e-02 0.0041319375 -5.650071e-01
    < 10 -0.0008297245 -0.0001383653 -3.264349e-05 0.0002195056 -8.818199e-06
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0843946740 -6.144328e-02 1.004245e-01 0.0000683719 7.588328e-01
    < 5 0.0013341846 -3.549015e-01 1.006327e-02 0.0135949890 1.179951e+00
    < 10 -0.0007851511 -3.469538e-05 3.752447e-05 -0.0002307292 1.981187e-05
    ---
    > 1 0.063874324 -0.0037879221 1.661989e-01 -0.0033054727 -1.550631e-01
    > 5 0.009786269 0.1386856608 5.072993e-02 -0.0172465989 -4.245459e-01
    > 10 0.003315277 -0.0001311109 2.984698e-06 -0.0007989053 8.653899e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.159840294 0.0477033508 -9.942958e-02 0.0007272656 -5.234779e-01
    > 5 -0.000260798 0.0934479358 -1.140720e-02 0.0042441115 -5.648879e-01
    > 10 -0.003163122 0.0001184889 -1.893333e-05 0.0003322047 -9.347271e-06
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.083896801 -0.0608347682 1.004226e-01 0.0000666040 7.588406e-01
    > 5 0.001480701 -0.3544836234 1.010963e-02 0.0138759957 1.179896e+00
    > 10 -0.002409316 -0.0002253552 2.544273e-05 -0.0003993135 2.270258e-05
    1897,1943c1897,1943
    < d_y1_d_x1 0.6812096574 0.0328445703 0.0464171643 3.190127e-04 -2.061745e-02
    < d_y2_d_x1 0.0328445703 0.1337634570 0.0144199771 -1.593829e-04 -1.836871e-03
    < d_y3_d_x1 0.0464171643 0.0144199771 0.0667528032 -1.266746e-03 -3.319975e-02
    < d_y4_d_x1 0.0003190127 -0.0001593829 -0.0012667457 9.883138e-05 6.512071e-04
    < d_y5_d_x1 -0.0206174479 -0.0018368715 -0.0331997504 6.512071e-04 3.615356e-02
    < d_y1_d_x2 -1.1171014693 -0.0376980440 -0.0972881902 -2.033033e-04 4.609150e-02
    < d_y2_d_x2 -0.1530469651 -0.1397941998 -0.0157232479 1.159758e-05 -9.608435e-03
    < d_y3_d_x2 -0.0284887124 -0.0061347077 -0.0353502701 6.169611e-04 2.154274e-02
    < d_y4_d_x2 0.0005942716 -0.0001232229 -0.0001298946 -1.355487e-06 5.245573e-05
    < d_y5_d_x2 -0.0745474251 0.0024138127 -0.1185248442 2.298367e-03 1.090391e-01
    < d_y1_d_x3 -1.5151173675 -0.1839307502 -0.1097977555 -9.381967e-04 3.121307e-02
    < d_y2_d_x3 0.3183962021 0.1699797530 0.0340722618 -1.383023e-04 9.193764e-03
    < d_y3_d_x3 0.0208750647 0.0064431510 0.0357161427 -6.331416e-04 -2.146771e-02
    < d_y4_d_x3 -0.0001040305 0.0003258147 0.0001187300 -2.097635e-06 -1.353301e-05
    < d_y5_d_x3 0.0639015245 -0.0037823006 0.1662005415 -3.305518e-03 -1.550634e-01
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < d_y1_d_x1 -1.1171014693 -1.530470e-01 -2.848871e-02 5.942716e-04 -7.454743e-02
    < d_y2_d_x1 -0.0376980440 -1.397942e-01 -6.134708e-03 -1.232229e-04 2.413813e-03
    < d_y3_d_x1 -0.0972881902 -1.572325e-02 -3.535027e-02 -1.298946e-04 -1.185248e-01
    < d_y4_d_x1 -0.0002033033 1.159758e-05 6.169611e-04 -1.355487e-06 2.298367e-03
    < d_y5_d_x1 0.0460915046 -9.608435e-03 2.154274e-02 5.245573e-05 1.090391e-01
    < d_y1_d_x2 1.9743900147 1.864909e-01 5.578624e-02 -1.235021e-03 1.701714e-01
    < d_y2_d_x2 0.1864909062 2.685675e-01 1.030955e-02 6.250558e-05 -3.049575e-02
    < d_y3_d_x2 0.0557862418 1.030955e-02 2.272154e-02 9.603748e-05 7.166313e-02
    < d_y4_d_x2 -0.0012350208 6.250558e-05 9.603748e-05 8.718009e-06 1.040375e-04
    < d_y5_d_x2 0.1701714278 -3.049575e-02 7.166313e-02 1.040375e-04 3.801066e-01
    < d_y1_d_x3 2.4691013254 4.786429e-01 6.345817e-02 -6.841204e-04 1.146878e-01
    < d_y2_d_x3 -0.5147591949 -3.546928e-01 -2.274368e-02 2.647917e-04 2.036781e-02
    < d_y3_d_x3 -0.0459394770 -9.774946e-03 -2.305430e-02 -9.693582e-05 -7.073804e-02
    < d_y4_d_x3 0.0002634589 -4.858963e-04 -1.058097e-04 -1.918576e-06 2.005138e-06
    < d_y5_d_x3 -0.1598153541 4.726437e-02 -9.943481e-02 -2.424344e-04 -5.234886e-01
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < d_y1_d_x1 -1.5151173675 0.3183962021 2.087506e-02 -1.040305e-04 0.0639015245
    < d_y2_d_x1 -0.1839307502 0.1699797530 6.443151e-03 3.258147e-04 -0.0037823006
    < d_y3_d_x1 -0.1097977555 0.0340722618 3.571614e-02 1.187300e-04 0.1662005415
    < d_y4_d_x1 -0.0009381967 -0.0001383023 -6.331416e-04 -2.097635e-06 -0.0033055184
    < d_y5_d_x1 0.0312130733 0.0091937642 -2.146771e-02 -1.353301e-05 -0.1550633621
    < d_y1_d_x2 2.4691013254 -0.5147591949 -4.593948e-02 2.634589e-04 -0.1598153541
    < d_y2_d_x2 0.4786428564 -0.3546927634 -9.774946e-03 -4.858963e-04 0.0472643726
    < d_y3_d_x2 0.0634581689 -0.0227436825 -2.305430e-02 -1.058097e-04 -0.0994348095
    < d_y4_d_x2 -0.0006841204 0.0002647917 -9.693582e-05 -1.918576e-06 -0.0002424344
    < d_y5_d_x2 0.1146878312 0.0203678116 -7.073804e-02 2.005138e-06 -0.5234885868
    < d_y1_d_x3 3.6355757327 -0.8562699839 -5.055347e-02 -3.116699e-04 -0.0843946740
    < d_y2_d_x3 -0.8562699839 0.6087940033 2.337403e-02 7.783812e-04 -0.0614432833
    < d_y3_d_x3 -0.0505534748 0.0233740310 2.417462e-02 1.223416e-04 0.1004244837
    < d_y4_d_x3 -0.0003116699 0.0007783812 1.223416e-04 1.286729e-05 0.0000683719
    < d_y5_d_x3 -0.0843946740 -0.0614432833 1.004245e-01 6.837190e-05 0.7588328063
    ---
    > d_y1_d_x1 6.812097e-01 3.284457e-02 4.641716e-02 3.190130e-04 -2.061745e-02
    > d_y2_d_x1 3.284457e-02 1.337635e-01 1.441998e-02 -1.593828e-04 -1.836871e-03
    > d_y3_d_x1 4.641716e-02 1.441998e-02 6.675280e-02 -1.266746e-03 -3.319975e-02
    > d_y4_d_x1 3.190130e-04 -1.593828e-04 -1.266746e-03 9.883137e-05 6.512071e-04
    > d_y5_d_x1 -2.061745e-02 -1.836871e-03 -3.319975e-02 6.512071e-04 3.615356e-02
    > d_y1_d_x2 -1.116902e+00 -3.754151e-02 -9.722592e-02 -2.041637e-04 4.606989e-02
    > d_y2_d_x2 -1.533388e-01 -1.397325e-01 -1.565141e-02 1.116733e-05 -9.702575e-03
    > d_y3_d_x2 -2.848851e-02 -6.134243e-03 -3.534945e-02 6.169258e-04 2.154187e-02
    > d_y4_d_x2 6.198739e-04 9.045735e-05 1.712073e-04 -7.709117e-06 -1.684079e-04
    > d_y5_d_x2 -7.452406e-02 2.416461e-03 -1.185206e-01 2.298477e-03 1.090350e-01
    > d_y1_d_x3 -1.515514e+00 -1.842410e-01 -1.098752e-01 -9.371763e-04 3.116019e-02
    > d_y2_d_x3 3.185563e-01 1.698549e-01 3.410170e-02 -1.439648e-04 9.090536e-03
    > d_y3_d_x3 2.087387e-02 6.443897e-03 3.571570e-02 -6.331272e-04 -2.146734e-02
    > d_y4_d_x3 -9.676582e-05 -3.305815e-05 -4.726227e-05 3.662629e-06 -4.994463e-06
    > d_y5_d_x3 6.387432e-02 -3.787922e-03 1.661989e-01 -3.305473e-03 -1.550631e-01
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > d_y1_d_x1 -1.116902e+00 -1.533388e-01 -2.848851e-02 6.198739e-04 -7.452406e-02
    > d_y2_d_x1 -3.754151e-02 -1.397325e-01 -6.134243e-03 9.045735e-05 2.416461e-03
    > d_y3_d_x1 -9.722592e-02 -1.565141e-02 -3.534945e-02 1.712073e-04 -1.185206e-01
    > d_y4_d_x1 -2.041637e-04 1.116733e-05 6.169258e-04 -7.709117e-06 2.298477e-03
    > d_y5_d_x1 4.606989e-02 -9.702575e-03 2.154187e-02 -1.684079e-04 1.090350e-01
    > d_y1_d_x2 1.974272e+00 1.868058e-01 5.575944e-02 -1.156332e-03 1.702182e-01
    > d_y2_d_x2 1.868058e-01 2.684995e-01 1.026219e-02 -2.490298e-04 -3.074013e-02
    > d_y3_d_x2 5.575944e-02 1.026219e-02 2.272066e-02 -8.911402e-05 7.165823e-02
    > d_y4_d_x2 -1.156332e-03 -2.490298e-04 -8.911402e-05 9.134152e-06 -5.579779e-04
    > d_y5_d_x2 1.702182e-01 -3.074013e-02 7.165823e-02 -5.579779e-04 3.800901e-01
    > d_y1_d_x3 2.469028e+00 4.798412e-01 6.348768e-02 -1.005371e-03 1.143756e-01
    > d_y2_d_x3 -5.146228e-01 -3.546700e-01 -2.274560e-02 5.433265e-04 1.994628e-02
    > d_y3_d_x3 -4.591121e-02 -9.727693e-03 -2.305357e-02 8.792193e-05 -7.073578e-02
    > d_y4_d_x3 -2.784437e-05 -9.552450e-06 1.125424e-05 -3.383598e-06 9.563474e-05
    > d_y5_d_x3 -1.598403e-01 4.770335e-02 -9.942958e-02 7.272656e-04 -5.234779e-01
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > d_y1_d_x1 -1.5155136496 0.3185562850 2.087387e-02 -9.676582e-05 0.0638743236
    > d_y2_d_x1 -0.1842410475 0.1698548807 6.443897e-03 -3.305815e-05 -0.0037879221
    > d_y3_d_x1 -0.1098751936 0.0341016987 3.571570e-02 -4.726227e-05 0.1661989341
    > d_y4_d_x1 -0.0009371763 -0.0001439648 -6.331272e-04 3.662629e-06 -0.0033054727
    > d_y5_d_x1 0.0311601898 0.0090905358 -2.146734e-02 -4.994463e-06 -0.1550631458
    > d_y1_d_x2 2.4690277129 -0.5146228431 -4.591121e-02 -2.784437e-05 -0.1598402938
    > d_y2_d_x2 0.4798411614 -0.3546700224 -9.727693e-03 -9.552450e-06 0.0477033508
    > d_y3_d_x2 0.0634876756 -0.0227456009 -2.305357e-02 1.125424e-05 -0.0994295843
    > d_y4_d_x2 -0.0010053706 0.0005433265 8.792193e-05 -3.383598e-06 0.0007272656
    > d_y5_d_x2 0.1143756253 0.0199462756 -7.073578e-02 9.563474e-05 -0.5234779044
    > d_y1_d_x3 3.6377118200 -0.8575304993 -5.056836e-02 -6.105466e-04 -0.0838968013
    > d_y2_d_x3 -0.8575304993 0.6084097418 2.338331e-02 5.723414e-04 -0.0608347682
    > d_y3_d_x3 -0.0505683577 0.0233833110 2.417418e-02 5.055428e-05 0.1004225515
    > d_y4_d_x3 -0.0006105466 0.0005723414 5.055428e-05 1.961294e-05 0.0000666040
    > d_y5_d_x3 -0.0838968013 -0.0608347682 1.004226e-01 6.660400e-05 0.7588406335
    1948,1958c1948,1958
    < 1 -0.15639148 0.0004175921 -0.0034077201 -9.140932e-05 0.0012587677
    < 5 -0.02800207 0.0440645950 0.0050068899 2.316666e-02 -0.0016630711
    < 10 -0.36206441 0.0233549044 -0.0001174273 9.265316e-02 -0.0001571002
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.179023463 0.036892711 0.0087876754 -0.0004662937 -0.0003046174
    < 5 0.001376677 -0.008337775 -0.0003774758 -0.0048600013 0.0004218847
    < 10 0.612920825 -0.072196762 -0.0008659740 -0.1906044766 -0.0005107026
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.470801176 -0.091204821 -0.0121264977 -0.0007549517 -0.0031676051
    < 5 0.001088019 -0.001987299 0.0020983215 -0.0018568480 0.0008326673
    < 10 0.213651319 0.035831754 -0.0002331468 0.0272865064 -0.0007438494
    ---
    > 1 -0.15639148 0.0004175918 -0.0034077201 -0.0000914101 0.0012587677
    > 5 -0.02800207 0.0440645951 0.0050068900 0.0231666586 -0.0016630708
    > 10 -0.36206441 0.0233549044 -0.0001174276 0.0926531552 -0.0001571004
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.178501658 0.036859404 0.0087862877 -0.001021405 -3.004541e-04
    > 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 9.992007e-05
    > 10 0.612898621 -0.072196069 -0.0008548717 -0.190615579 -7.882583e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.470024020 -0.092093000 -0.0121292733 -0.001421085 -0.003150258
    > 5 0.002020606 -0.001920686 0.0019872992 -0.001568190 0.001176836
    > 10 0.213329354 0.035809203 -0.0006328271 0.027169933 -0.001298961
    1963,1965c1963,1965
    < 1 9.163474e-02 -0.0361629797 -5.966820e-03 -0.0001078717 1.281769e-04
    < 5 6.949863e-05 -0.0016266396 -2.210121e-06 -0.0010432505 9.689360e-06
    < 10 8.615991e-03 -0.0007684082 2.152944e-06 -0.0022078730 2.259304e-06
    ---
    > 1 9.163474e-02 -0.0361629801 -5.966820e-03 -0.0001078725 1.281769e-04
    > 5 6.949863e-05 -0.0016266396 -2.210121e-06 -0.0010432505 9.689471e-06
    > 10 8.615991e-03 -0.0007684082 2.153167e-06 -0.0022078730 2.259304e-06
    1967,1969c1967,1969
    < 1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
    < 5 0.001376677 -0.008337775 -0.0003774758 -0.004860001 0.0004218847 0.001088019
    < 10 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
    ---
    > 1 0.000000000 0.000000000 0.0000000000 0.000000000 0.000000e+00 0.000000000
    > 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 9.992007e-05 0.002020606
    > 10 0.000000000 0.000000000 0.0000000000 0.000000000 0.000000e+00 0.000000000
    1971,1973c1971,1973
    < 1 0.000000000 0.000000000 0.000000000 0.0000000000
    < 5 -0.001987299 0.002098322 -0.001856848 0.0008326673
    < 10 0.000000000 0.000000000 0.000000000 0.0000000000
    ---
    > 1 0.000000000 0.000000000 0.00000000 0.000000000
    > 5 -0.001920686 0.001987299 -0.00156819 0.001176836
    > 10 0.000000000 0.000000000 0.00000000 0.000000000
    1978,1988c1978,1988
    < 1 -0.1914360 0.0005111669 -0.0041713281 -0.0001118927 1.540835e-03
    < 5 0.0155647 -0.0244929150 -0.0027830360 -0.0128769820 9.244022e-04
    < 10 0.1711809 -0.0110419981 0.0000555187 -0.0438056157 7.427514e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.467328569 0.008250233 0.0081991345 0.0007828983 -0.0015288833
    < 5 0.000446975 0.002753191 0.0004640840 0.0015990804 0.0002095303
    < 10 0.081578330 0.010019168 0.0002306032 -0.0046151619 0.0003258932
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.5777822665 -0.110911280 -0.0148311918 -0.0005329071 -0.0038268000
    < 5 -0.0009769963 0.001748601 -0.0003996803 0.0008826273 -0.0006661338
    < 10 -0.1011524198 -0.016940616 0.0015654145 -0.0129618538 0.0009769963
    ---
    > 1 -0.1914360 0.0005111674 -4.171328e-03 -0.0001118924 1.540835e-03
    > 5 0.0155647 -0.0244929149 -2.783036e-03 -0.0128769820 9.244024e-04
    > 10 0.1711809 -0.0110419981 5.551892e-05 -0.0438056157 7.427525e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.467650534 0.008239131 0.0082012162 0.0006496715 -0.0015143116
    > 5 0.001024291 0.002769844 0.0004862883 0.0017600628 0.0004537792
    > 10 0.081267467 0.010009800 0.0007079992 -0.0045693652 0.0003925066
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.577582426 -0.111244347 -0.0148305847 -0.0019761970 -0.0038392900
    > 5 -0.001554312 0.001570966 -0.0008992806 0.0008631984 -0.0003330669
    > 10 -0.101241238 -0.016943044 0.0011657342 -0.0129646294 0.0010103030
    1993,2003c1993,2003
    < 1 0.16699853 -0.0004459151 0.0036388443 9.760914e-05 -0.0013441420
    < 5 0.01750239 -0.0275421022 -0.0031295035 -1.448007e-02 0.0010394845
    < 10 -0.45396177 0.0292827276 -0.0001472333 1.161699e-01 -0.0001969757
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.1917577208 -0.03975709 -0.0093866755 0.0003996803 0.0003844147
    < 5 -0.0006439294 0.00497935 -0.0009214851 0.0028588243 -0.0010214052
    < 10 0.7682632308 -0.09052342 -0.0012101431 -0.2389421994 -0.0004551914
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.2549048153 0.061707472 1.038289e-02 0.0006718763 0.0022514261
    < 5 -0.0002413635 -0.000211105 -1.331213e-05 0.0004777551 0.0009533794
    < 10 0.6391878439 0.020800821 9.411459e-04 -0.0605815045 0.0006922672
    ---
    > 1 0.16699853 -0.000445915 0.0036388443 9.760925e-05 -0.0013441420
    > 5 0.01750239 -0.027542102 -0.0031295035 -1.448007e-02 0.0010394844
    > 10 -0.45396177 0.029282728 -0.0001472331 1.161699e-01 -0.0001969759
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.1918132320 -0.039435122 -0.0093857214 -0.0001110223 0.0003989864
    > 5 -0.0004218847 0.005107026 -0.0006661338 0.0029864999 -0.0006772360
    > 10 0.7681744130 -0.090524463 -0.0009992007 -0.2389158316 -0.0008881784
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.2544274195 0.0621959703 0.0103841922 0.0006496718 0.0022458750
    > 5 -0.0002635679 -0.0002610651 -0.0003352767 0.0003445284 0.0003538591
    > 10 0.6393543773 0.0208032498 0.0012631107 -0.0606023212 0.0009587209
    2008c2008
    < 1 0.03041583 0.07029452 4.296460e-03 -0.0001342123 2.802278e-03
    ---
    > 1 0.03041583 0.07029452 4.296460e-03 -0.0001342124 2.802278e-03
    2010,2018c2010,2018
    < 10 0.15812578 -0.05460630 -7.488477e-05 -0.0448684340 3.857703e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.002353673 -0.1624589 -0.002771047 -0.0003996803 0.0299690828
    < 5 -0.001487699 0.1759315 0.006772360 -0.0127481359 -0.0750732809
    < 10 -0.260924615 0.1510018 0.001942890 0.0802594102 0.0001887379
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.158095759 0.2021716 0.003017725 -0.001798561 -0.0392956501
    < 5 0.002020606 -0.3259115 -0.002509104 0.006825096 0.1231348357
    < 10 -0.099775743 -0.1049983 -0.001854072 -0.007109591 -0.0003663736
    ---
    > 10 0.15812578 -0.05460630 -7.488488e-05 -0.0448684340 3.857703e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    > 1 -0.001787459 -0.1621814 -0.002770787 -0.0001776357 0.029994757 -0.158795199
    > 5 -0.001443290 0.1760148 0.006783463 -0.0127287070 -0.075184303 0.002553513
    > 10 -0.260724775 0.1509983 0.001720846 0.0802621858 -0.001132427 -0.099975583
    > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.2018163 0.003015817 -0.001154632 -3.930675e-02
    > 5 -0.3259060 -0.002886580 0.006966649 1.228684e-01
    > 10 -0.1050032 -0.001998401 -0.007199796 -5.551115e-05
    2023,2025c2023,2025
    < 1 -2.823928e-02 0.185003157 4.796552e-03 -0.0001283528 -7.966126e-03
    < 5 -9.302847e-05 0.354249378 9.457127e-04 0.0032874301 -8.314710e-02
    < 10 -3.894220e-03 0.005142545 5.685452e-06 0.0015816660 -1.827227e-05
    ---
    > 1 -0.0282392827 0.185003157 4.796552e-03 -0.0001283527 -7.966126e-03
    > 5 -0.0000930287 0.354249378 9.457130e-04 0.0032874300 -8.314710e-02
    > 10 -0.0038942199 0.005142545 5.685452e-06 0.0015816660 -1.827227e-05
    2027,2029c2027,2029
    < 1 0.000000000 0.0000000 0.000000000 0.00000000 0.00000000 0.000000000
    < 5 -0.001487699 0.1758982 0.006705747 -0.01276479 -0.07507328 0.002020606
    < 10 0.000000000 0.0000000 0.000000000 0.00000000 0.00000000 0.000000000
    ---
    > 1 0.000000000 0.0000000 0.000000000 0.00000000 0.0000000 0.000000000
    > 5 -0.001310063 0.1759815 0.006783463 -0.01271205 -0.0751843 0.002287059
    > 10 0.000000000 0.0000000 0.000000000 0.00000000 0.0000000 0.000000000
    2031,2033c2031,2033
    < 1 0.0000000 0.000000000 0.000000000 0.0000000
    < 5 -0.3258449 -0.002375877 0.006858403 0.1231348
    < 10 0.0000000 0.000000000 0.000000000 0.0000000
    ---
    > 1 0.0000000 0.00000000 0.000000000 0.0000000
    > 5 -0.3258394 -0.00288658 0.006933343 0.1228684
    > 10 0.0000000 0.00000000 0.000000000 0.0000000
    2038,2048c2038,2048
    < 1 0.037231463 0.08604624 0.0052592188 -0.000164287 3.430217e-03
    < 5 -0.006517057 0.04176014 0.0329558502 -0.011981531 1.941643e-02
    < 10 -0.074760513 0.02581739 0.0000354049 0.021213410 -1.823919e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0612974433 -0.08435435 -2.891813e-03 -0.0009045232 0.0259688757
    < 5 0.0005286962 0.25639432 -2.795739e-03 0.0102984884 -0.0419467248
    < 10 -0.0389406807 -0.01162427 1.395656e-05 0.0084582681 0.0003650356
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -1.917688e-01 0.24953373 0.003704849 0.001598721 -0.048076126
    < 5 -4.440892e-05 0.18134383 0.002220446 -0.003699818 -0.067401640
    < 10 4.664047e-02 0.04959366 -0.001354472 0.003247402 -0.001965095
    ---
    > 1 0.037231463 0.08604624 5.259219e-03 -0.0001642868 3.430217e-03
    > 5 -0.006517056 0.04176014 3.295585e-02 -0.0119815304 1.941643e-02
    > 10 -0.074760513 0.02581739 3.540501e-05 0.0212134101 -1.823874e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0610087855 -0.08409900 -0.0028929402 -0.0002161851 0.0259910802
    > 5 0.0002844472 0.25653865 -0.0024182628 0.0103428973 -0.0417912936
    > 10 -0.0392182364 -0.01163607 -0.0006188705 0.0083375314 0.0004427512
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.19239055 0.24932278 0.003701900 0.001509903 -0.048102494
    > 5 -0.00104361 0.18117174 0.001765255 -0.003824718 -0.067645889
    > 10 0.04675149 0.04959089 -0.001532108 0.003269607 -0.001865175
    2053,2063c2053,2063
    < 1 -0.032478744 -0.07506215 -4.587862e-03 0.000143315 -2.992339e-03
    < 5 -0.007328382 0.04695897 3.705861e-02 -0.013473142 2.183363e-02
    < 10 0.198260468 -0.06846619 -9.389134e-05 -0.056256712 4.836753e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0021760371 0.1735168 0.0029608260 0.0001776357 -0.0320542204
    < 5 0.0001998401 -0.1100731 -0.0048294702 0.0078215212 0.0468181049
    < 10 -0.3260391956 0.1893041 0.0002664535 0.1005806549 -0.0002220446
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.089553e-01 -0.10286177 -0.002729616 -0.0002161852 0.0311279433
    < 5 -2.641509e-05 0.55816404 0.004420711 -0.0007315774 -0.1600633522
    < 10 -2.876973e-01 -0.07185873 -0.001573662 0.0373920680 -0.0002344846
    ---
    > 1 -0.032478744 -0.07506215 -4.587862e-03 0.0001433151 -2.992339e-03
    > 5 -0.007328382 0.04695897 3.705861e-02 -0.0134731424 2.183363e-02
    > 10 0.198260468 -0.06846619 -9.389189e-05 -0.0562567122 4.836709e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0013655743 0.1729172 0.0029592648 -0.001421085 -0.032075731
    > 5 -0.0002442491 -0.1100675 -0.0047517545 0.007757683 0.046274096
    > 10 -0.3263500581 0.1892979 0.0005218048 0.100618125 -0.001021405
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.1096546977 -0.10232886 -0.002728228 0.0012049003 0.0311550050
    > 5 0.0003954697 0.55816959 0.004431813 -0.0007482306 -0.1594527296
    > 10 -0.2875418200 -0.07185491 -0.001040755 0.0374572936 0.0004760582
    2068,2078c2068,2078
    < 1 0.0595716564 1.341879e-02 0.0722787329 -0.0007605947 -1.288056e-02
    < 5 0.0027118466 -5.705155e-02 -0.3158272830 0.1826448263 -2.498794e-02
    < 10 0.0001804167 -9.407846e-06 -0.0004331203 0.0111149258 2.334666e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0641930953 -0.046151971 -0.056140075 -0.000288658 -5.733886e-02
    < 5 0.0009547918 0.007299716 0.038991033 -0.145999879 6.383782e-03
    < 10 -0.0010214052 0.000106859 0.003752554 -0.038062609 7.771561e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.1858402321 7.193135e-02 0.057606003 -0.0001554312 0.076670614
    < 5 -0.0001332268 -6.006307e-03 -0.028599345 0.1275785033 -0.004851675
    < 10 0.0003885781 -6.869505e-05 -0.003019807 0.0319702598 -0.000144329
    ---
    > 1 0.0595716566 1.341879e-02 0.0722787329 -0.0007605947 -1.288056e-02
    > 5 0.0027118469 -5.705155e-02 -0.3158272829 0.1826448262 -2.498794e-02
    > 10 0.0001804168 -9.407846e-06 -0.0004331201 0.0111149258 2.334699e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.064981354 -0.0467403893 -0.056143892 -0.0005995204 -0.057358979
    > 5 0.001088019 0.0072719608 0.038791192 -0.1459082855 0.006072920
    > 10 -0.001254552 0.0001110223 0.003552714 -0.0381125687 -0.000144329
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -1.853406e-01 0.072086781 0.057606003 -0.0002664535 0.076683798
    > 5 -6.661338e-05 -0.005961898 -0.028421709 0.1275035633 -0.004829470
    > 10 8.437695e-04 -0.000075287 -0.002675637 0.0320563021 -0.001099121
    2083,2085c2083,2085
    < 1 -3.539163e-02 5.056612e-02 8.698175e-02 -0.0007680381 1.565517e-02
    < 5 -1.385334e-04 9.823548e-04 5.322137e-03 -0.0506318039 6.196549e-04
    < 10 -7.327472e-09 6.938894e-12 4.662937e-09 -0.0001712277 -1.199041e-08
    ---
    > 1 -3.539162e-02 5.056612e-02 8.698175e-02 -0.0007680381 1.565517e-02
    > 5 -1.385334e-04 9.823548e-04 5.322137e-03 -0.0506318040 6.196549e-04
    > 10 -7.105427e-09 6.938894e-12 4.884981e-09 -0.0001712277 -1.154632e-08
    2087,2089c2087,2089
    < 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.000000000 0.0000000000
    < 5 0.0009547918 0.007299716 0.03899103 -0.1459999 0.006383782 -0.0001332268
    < 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.000000000 0.0000000000
    ---
    > 1 0.000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000e+00
    > 5 0.001088019 0.007271961 0.03879119 -0.1459444 0.00607292 -6.661338e-05
    > 10 0.000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000e+00
    2091,2093c2091,2093
    < 1 0.000000000 0.00000000 0.0000000 0.000000000
    < 5 -0.006006307 -0.02859935 0.1275785 -0.004851675
    < 10 0.000000000 0.00000000 0.0000000 0.000000000
    ---
    > 1 0.000000000 0.00000000 0.0000000 0.00000000
    > 5 -0.005961898 -0.02842171 0.1275258 -0.00482947
    > 10 0.000000000 0.00000000 0.0000000 0.00000000
    2098,2108c2098,2108
    < 1 7.292058e-02 1.642570e-02 0.0884750813 -0.000931030 -1.576685e-02
    < 5 -1.507357e-03 3.171160e-02 0.1755497949 -0.101521508 1.388932e-02
    < 10 -8.529899e-05 4.447952e-06 0.0002047759 -0.005255041 -1.103773e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.1738557296 -1.941854e-02 -0.054013366 -0.0003405105 -0.041714335
    < 5 -0.0002495553 -3.153226e-03 -0.016105167 0.0304172526 -0.002322436
    < 10 -0.0002692419 -5.581775e-05 -0.002220308 0.0066564383 -0.000633981
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.2270184041 8.887335e-02 0.070513907 -0.0001332268 0.0938915612
    < 5 0.0008437695 3.402834e-03 0.016009416 -0.0707017778 0.0035638159
    < 10 -0.0002997602 3.469447e-05 0.001199041 -0.0151642587 0.0006550316
    ---
    > 1 7.292058e-02 1.642570e-02 0.0884750813 -0.0009310297 -1.576685e-02
    > 5 -1.507357e-03 3.171160e-02 0.1755497949 -0.1015215078 1.388932e-02
    > 10 -8.529921e-05 4.447956e-06 0.0002047762 -0.0052550414 -1.103739e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.1731784937 -1.908547e-02 -0.054012846 0.0003256235 -0.041712947
    > 5 -0.0008268712 -3.219839e-03 -0.016160678 0.0303034547 -0.002699912
    > 10 -0.0006800245 -5.408303e-05 -0.002286922 0.0066647650 -0.001044764
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.2276179245 8.837375e-02 0.070513300 8.881784e-05 0.093868663
    > 5 0.0011990409 3.508305e-03 0.016286972 -7.062684e-02 0.003330669
    > 10 0.0002331468 3.018419e-05 0.001298961 -1.517120e-02 0.000965894
    2113,2123c2113,2123
    < 1 -0.0636120271 -1.432890e-02 -0.077180944 0.0008121811 1.375416e-02
    < 5 -0.0016950118 3.565946e-02 0.197404453 -0.1141601886 1.561844e-02
    < 10 0.0002262086 -1.179571e-05 -0.000543053 0.0139360597 2.927147e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0689226454 0.0503042052 0.059947620 0.001132427 0.0612981887
    < 5 -0.0004662937 -0.0047906124 -0.024436009 0.091243679 -0.0039523940
    < 10 -0.0014876989 0.0001471046 0.004940492 -0.047878368 0.0005218048
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.028452e-01 -0.0420559826 -0.04681322 -0.0009622351 -0.0533085325
    < 5 -1.004507e-03 0.0051012822 0.02265272 -0.1305179015 0.0035173373
    < 10 7.492762e-05 -0.0001363089 -0.00417430 0.0287526521 -0.0000122557
    ---
    > 1 -0.0636120274 -1.432890e-02 -0.077180944 0.0008121808 1.375416e-02
    > 5 -0.0016950116 3.565946e-02 0.197404453 -0.1141601887 1.561844e-02
    > 10 0.0002262085 -1.179571e-05 -0.000543053 0.0139360597 2.927147e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0688005208 0.0499600361 0.059946579 0.0004440892 0.0612773721
    > 5 -0.0001998401 -0.0047295501 -0.024680258 0.0912409037 -0.0039301895
    > 10 -0.0011657342 0.0001557782 0.005295764 -0.0478242446 0.0008548717
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.034447e-01 -0.0412677243 -0.046809667 0.001058371 -0.0533015936
    > 5 -1.803868e-03 0.0048403798 0.022241936 -0.130595617 0.0029622258
    > 10 -1.389017e-05 -0.0001404723 -0.004318629 0.028733223 -0.0008116162
    2128,2138c2128,2138
    < 1 -0.0005028649 -9.699352e-06 -0.0176521869 0.00099213 -1.212553e-03
    < 5 0.0096056776 1.666825e-02 0.1686842807 -0.19990966 5.829742e-03
    < 10 0.1691118553 -1.216878e-02 0.0003768608 -0.21937763 9.145218e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.000000e+00 -8.881784e-05 0.002223222 0.0001110223 -2.151057e-05
    < 5 4.440892e-05 9.131584e-03 -0.024236169 0.2620376138 -2.005063e-02
    < 10 -2.728151e-01 3.503968e-02 -0.002642331 0.3629305190 -1.043610e-03
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0002775558 0.000965894 -0.001807929 0.0004884981 3.885781e-05
    < 5 0.0008215650 -0.013350432 0.019961810 -0.3112954339 3.167466e-02
    < 10 -0.1073585665 -0.019075366 0.001487699 -0.1543973283 9.658940e-04
    ---
    > 1 -0.0005028642 -9.699463e-06 -0.0176521868 0.0009921306 -1.212553e-03
    > 5 0.0096056775 1.666825e-02 0.1686842803 -0.1999096630 5.829742e-03
    > 10 0.1691118553 -1.216878e-02 0.0003768608 -0.2193776310 9.145218e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 4.440892e-05 -0.0001221245 0.002225390 0.0005107026 -5.551115e-06
    > 5 1.110223e-04 0.0091537888 -0.023980817 0.2620736961 -1.967315e-02
    > 10 -2.724043e-01 0.0350469653 -0.001987299 0.3630221124 -8.770762e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.110223e-05 2.220446e-05 -0.001810271 0.0001332268 6.938894e-06
    > 5 1.376677e-03 -1.331713e-02 0.020661250 -0.3111871871 3.226308e-02
    > 10 -1.073697e-01 -1.908092e-02 0.001587619 -0.1544278594 8.659740e-04
    2143c2143
    < 1 -5.028744e-04 -9.699463e-06 -1.800810e-02 0.0009921309 -1.213108e-03
    ---
    > 1 -5.028739e-04 -9.699463e-06 -1.800810e-02 0.0009921313 -1.213108e-03
    2147,2149c2147,2149
    < 1 0.0000000000 0.000000000 0.0000000 0.0000000 0.00000000 0.00000000
    < 5 -0.0001332268 0.009170442 -0.0243916 0.2619904 -0.02025047 0.00104361
    < 10 0.0000000000 0.000000000 0.0000000 0.0000000 0.00000000 0.00000000
    ---
    > 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    > 5 0.0002664535 0.009214851 -0.02399192 0.2620293 -0.02002842 0.001465494
    > 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    2152c2152
    < 5 -0.01335598 0.01968425 -0.3112205 0.03201883
    ---
    > 5 -0.01323386 0.02018385 -0.3111095 0.03221867
    2158,2168c2158,2168
    < 1 -0.0006155473 -1.187306e-05 -0.0216077206 0.001214449 -1.484263e-03
    < 5 -0.0053392301 -9.264900e-03 -0.0937616619 0.111118014 -3.240410e-03
    < 10 -0.0799546319 5.753295e-03 -0.0001781758 0.103719859 -4.323752e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0006994308 -0.0005218047 0.0023651692 -0.000133226 -5.398493e-05
    < 5 0.0000763970 0.0147804636 0.0096807778 0.111314077 -7.109802e-03
    < 10 -0.0449418669 -0.0037820686 0.0006514742 0.061416394 7.695150e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0012434498 -0.0001665335 -0.002216543 -0.0001776357 -2.428613e-05
    < 5 -0.0001998401 0.0080657703 -0.011246559 0.1730726673 -1.761924e-02
    < 10 0.0503375119 0.0090167457 -0.001132427 0.0730165928 -1.276756e-03
    ---
    > 1 -0.0006155476 -1.187317e-05 -0.0216077206 0.001214449 -1.484263e-03
    > 5 -0.0053392301 -9.264900e-03 -0.0937616617 0.111118014 -3.240410e-03
    > 10 -0.0799546321 5.753295e-03 -0.0001781765 0.103719859 -4.323808e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0008104529 6.661327e-05 0.002367338 0.0001776365 -0.0000296988
    > 5 0.0003650548 1.464724e-02 0.009758493 0.1112391371 -0.0074872775
    > 10 -0.0448086400 -3.769232e-03 0.000507145 0.0614205576 0.0004877342
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0001998401 -0.0001554312 -0.002213507 0.00000000 -1.387779e-05
    > 5 -0.0010436096 0.0082212015 -0.011168844 0.17308099 -1.798561e-02
    > 10 0.0499822406 0.0090049496 -0.001021405 0.07294026 -1.709743e-03
    2173,2183c2173,2183
    < 1 0.0005369705 1.035694e-05 0.0188494236 -0.00105942 0.0012947923
    < 5 -0.0060039258 -1.041831e-02 -0.1054342988 0.12495139 -0.0036438171
    < 10 0.2120349670 -1.525740e-02 0.0004725133 -0.27505895 0.0001146629
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0002775558 -0.0002109424 -0.002381255 -0.0003774758 1.665335e-05
    < 5 0.0005107026 -0.0056898930 0.016120438 -0.1638217340 1.287859e-02
    < 10 -0.3419042827 0.0439107084 -0.003397282 0.4550942956 -3.330669e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0002997698 -0.0008548716 0.001578559 -6.661249e-05 -4.218878e-05
    < 5 -0.0008117815 0.0286304958 -0.016254032 4.515308e-01 -3.809613e-02
    < 10 -0.3083200750 -0.0110953159 0.002938534 3.948810e-02 1.520242e-03
    ---
    > 1 0.0005369704 1.035705e-05 0.0188494236 -0.001059421 0.0012947923
    > 5 -0.0060039258 -1.041831e-02 -0.1054342988 0.124951389 -0.0036438172
    > 10 0.2120349669 -1.525740e-02 0.0004725133 -0.275058947 0.0001146629
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0002442491 0.0002553513 -0.002381862 -0.0003552714 1.595946e-05
    > 5 -0.0002886580 -0.0056732397 0.015698554 -0.1638522651 1.240119e-02
    > 10 -0.3417044425 0.0439155656 -0.002642331 0.4551345412 3.441691e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 8.880835e-05 -0.0001221245 0.001580814 -0.0003774749 -2.900488e-05
    > 5 2.318281e-04 0.0286860069 -0.015343649 0.4516279654 -3.720795e-02
    > 10 -3.079426e-01 -0.0111029487 0.002883023 0.0395283473 1.531344e-03
    2188c2188
    < 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311510e-04 -4.072218e-02
    ---
    > 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311511e-04 -4.072218e-02
    2190c2190
    < 10 -1.993961e-07 7.164831e-05 9.260370e-07 6.388307e-06 4.638101e-05
    ---
    > 10 -1.996181e-07 7.164832e-05 9.262591e-07 6.388307e-06 4.638101e-05
    2192,2198c2192,2198
    < 1 -0.0207611706 0.0428324043 -0.0157237071 -2.886580e-04 -0.2069094895
    < 5 -0.0006661338 -0.0726418925 0.0016653345 -3.884670e-02 0.2603028904
    < 10 0.0003663736 -0.0005197232 -0.0003219647 1.387779e-05 0.0004551914
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0027533531 -0.0486943819 0.0158708116 -5.329071e-04 0.2698979928
    < 5 0.0012212453 0.1262712157 -0.0017985613 4.501677e-02 -0.4311218049
    < 10 -0.0007993606 0.0005221518 0.0002109424 -9.714451e-05 -0.0009880985
    ---
    > 1 -0.021160851 0.0427768931 -1.572180e-02 4.218847e-04 -0.2069115712
    > 5 -0.001021405 -0.0725530747 2.209344e-03 -3.879674e-02 0.2602251747
    > 10 0.000721645 -0.0005058454 -3.330669e-05 2.775558e-06 0.0004884981
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -1.854072e-03 -0.0475619544 0.0158729800 -1.110223e-04 0.2699132584
    > 5 6.661338e-05 0.1261157845 -0.0019984014 4.480027e-02 -0.4313882584
    > 10 -8.881784e-04 0.0005356826 0.0002553513 -2.775558e-05 -0.0006550316
    2203,2205c2203,2205
    < 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258286e-04 5.445139e-02
    < 5 2.809908e-05 -7.345513e-02 3.396604e-04 -1.533200e-02 2.539040e-01
    < 10 -2.567946e-07 -2.787156e-05 -1.707745e-06 -9.407752e-07 5.954681e-05
    ---
    > 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258285e-04 5.445139e-02
    > 5 2.809908e-05 -7.345513e-02 3.396605e-04 -1.533200e-02 2.539040e-01
    > 10 -2.570166e-07 -2.787156e-05 -1.707745e-06 -9.407752e-07 5.954681e-05
    2207,2209c2207,2209
    < 1 0.0000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.0000000000
    < 5 -0.0008881784 -0.07259193 0.002031708 -0.03881617 0.2603362 0.0009103829
    < 10 0.0000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.0000000000
    ---
    > 1 0.000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00
    > 5 -0.001199041 -0.07262524 0.002620126 -0.03883283 0.2604028 6.661338e-05
    > 10 0.000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00
    2211,2213c2211,2213
    < 1 0.0000000 0.000000000 0.0000000 0.0000000
    < 5 0.1260825 -0.002209344 0.0450584 -0.4313661
    < 10 0.0000000 0.000000000 0.0000000 0.0000000
    ---
    > 1 0.0000000 0.000000000 0.00000000 0.0000000
    > 5 0.1259548 -0.002509104 0.04482248 -0.4318879
    > 10 0.0000000 0.000000000 0.00000000 0.0000000
    2218,2228c2218,2228
    < 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053551e-04 -4.984727e-02
    < 5 7.178742e-04 5.747480e-03 1.129392e-02 -1.283546e-02 -4.429300e-02
    < 10 9.436896e-08 -3.387472e-05 -4.382050e-07 -3.020403e-06 -2.192879e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -3.479743e-02 0.0208703370 -0.014934194 1.163445e-04 -1.581203e-01
    < 5 -5.270125e-04 -0.0334482476 -0.001592127 5.989833e-03 1.082760e-01
    < 10 4.435186e-05 0.0001440353 0.000707909 -1.777911e-06 -2.014061e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -2.686740e-03 -0.0580535620 0.0194274284 0.0004884981 0.3303905760
    < 5 1.265654e-03 -0.0699718061 0.0008104628 -0.0245775622 0.2406852495
    < 10 6.661338e-05 -0.0002494532 0.0010547119 0.0001179612 0.0004107825
    ---
    > 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053549e-04 -4.984727e-02
    > 5 7.178744e-04 5.747480e-03 1.129392e-02 -1.283546e-02 -4.429300e-02
    > 10 9.392487e-08 -3.387472e-05 -4.378720e-07 -3.020417e-06 -2.192901e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0354857727 0.0209702570 -0.0149315923 -3.055403e-04 -0.1581335314
    > 5 -0.0005936259 -0.0333039186 -0.0012812647 6.028691e-03 0.1084203399
    > 10 0.0003219077 0.0001412597 0.0004636598 -6.284018e-05 -0.0001089583
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0021538327 -0.0578537218 0.0194230916 0.0009325873 0.3304044538
    > 5 0.0003774758 -0.0701438907 0.0008992806 -0.0247080134 0.2404298982
    > 10 -0.0003996803 -0.0002615963 0.0014099832 0.0001346145 0.0005218048
    2233,2243c2233,2243
    < 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536104e-04 4.348411e-02
    < 5 8.072453e-04 6.462999e-03 1.269993e-02 -1.443338e-02 -4.980715e-02
    < 10 -2.498002e-07 8.983374e-05 1.162181e-06 8.009801e-06 5.815393e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0223487895 -0.0450306459 0.0167862252 0.0001776357 0.2209205041
    < 5 -0.0005329071 0.0450084414 -0.0027644553 0.0239391840 -0.1637578961
    < 10 -0.0006883383 -0.0006678685 -0.0009547918 -0.0002248202 -0.0008326673
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0071639834 0.0226133869 -0.0126323898 4.494114e-04 -0.1930139633
    < 5 0.0019154786 -0.1519034931 0.0034260808 -4.299321e-02 0.5258308907
    < 10 0.0001442715 0.0006013084 0.0003637395 9.120323e-05 0.0001352904
    ---
    > 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536108e-04 4.348411e-02
    > 5 8.072450e-04 6.462999e-03 1.269993e-02 -1.443338e-02 -4.980715e-02
    > 10 -2.496892e-07 8.983374e-05 1.161959e-06 8.009801e-06 5.815393e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0225153229 -0.0453082016 0.016787873 4.440892e-05 0.220927443
    > 5 -0.0002442491 0.0449085213 -0.002509104 2.395306e-02 -0.163613567
    > 10 -0.0007327472 -0.0006727258 -0.001432188 -2.539635e-04 -0.001221245
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0072639035 0.0224468535 -0.0126278795 0.0003827979 -0.1930042488
    > 5 0.0006942333 -0.1520755777 0.0023935732 -0.0431597399 0.5252202680
    > 10 0.0007104851 0.0006089412 0.0006746021 0.0002230422 0.0009679576
    2248,2258c2248,2258
    < 1 -0.02466725 -0.03881773 0.0002818689 -0.0004455043 0.0055523561
    < 5 -0.06354754 -0.02869930 0.0035964781 0.0454795475 -0.0030955769
    < 10 -1.18232018 -0.03474126 -0.0005452517 0.1935395359 -0.0005428672
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.070365935 -0.0499378316 -0.0018158218 0.001065814 0.0107087950
    < 5 0.002176037 0.0007827072 0.0007105427 -0.013083978 0.0004329870
    < 10 1.371125435 0.1646686260 0.0009658940 -0.239916420 0.0009325873
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.2421951528 3.037459e-01 0.0029896224 -0.0001332268 -0.0331720762
    < 5 0.0003552714 2.775558e-05 0.0002220446 -0.0061256555 0.0003330669
    < 10 0.9956813152 -3.752831e-02 0.0002553513 0.0359698382 -0.0003663736
    ---
    > 1 -0.02466725 -0.03881773 0.0002818689 -0.0004455039 0.0055523561
    > 5 -0.06354754 -0.02869930 0.0035964780 0.0454795474 -0.0030955770
    > 10 -1.18232018 -0.03474126 -0.0005452517 0.1935395359 -0.0005428668
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.070432549 -0.0501487740 -0.0018135667 0.001110223 0.0107067133
    > 5 0.001887379 0.0006883383 0.0007993606 -0.013056223 0.0006439294
    > 10 1.371225355 0.1646707076 0.0008659740 -0.239881726 0.0013766766
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.2419398015 0.3037459173 0.0029897092 0.0001776357 -3.315681e-02
    > 5 0.0005329071 0.0001776357 -0.0003330669 -0.0062588823 -5.551115e-05
    > 10 0.9960476888 -0.0375255382 0.0002775558 0.0359462460 -8.215650e-04
    2263,2273c2263,2273
    < 1 -0.6264994448 4.100418e-03 0.005971634 -0.00137778 -2.316509e-03
    < 5 -0.0204809042 7.100277e-03 -0.017621237 0.05184110 -1.386693e-03
    < 10 -0.0003509969 -9.323615e-06 -0.000438004 0.02437201 -2.752165e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.9782730181 0.0628497254 -1.508758e-02 -0.0004884981 -9.826168e-03
    < 5 -0.0004440892 -0.0003996803 5.551115e-05 -0.0072802875 -6.883383e-04
    < 10 0.0026312286 0.0001026956 3.297362e-03 -0.0936278832 -1.110223e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.3402723376 -1.363909e-01 0.0305775370 0.001265654 0.0302209646
    < 5 0.0007993606 2.220446e-05 0.0007882583 -0.001301736 0.0006661338
    < 10 -0.0027644553 -8.361367e-05 -0.0028754776 0.052668980 -0.0008326673
    ---
    > 1 -0.6264994450 4.100418e-03 0.0059716341 -0.00137778 -2.316509e-03
    > 5 -0.0204809040 7.100277e-03 -0.0176212369 0.05184110 -1.386693e-03
    > 10 -0.0003509967 -9.323611e-06 -0.0004380036 0.02437201 -2.752165e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.9778733379 6.297185e-02 -0.0150873238 -0.0005329071 -9.869883e-03
    > 5 0.0003774758 -4.440892e-05 0.0003996803 -0.0072247763 -2.109424e-04
    > 10 0.0027866598 9.714451e-05 0.0037414516 -0.0935918010 -4.440892e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.3408163468 -1.364464e-01 0.0305797054 0.001332268 0.0302570469
    > 5 0.0004440892 -1.665335e-04 0.0001887379 -0.001409983 0.0002442491
    > 10 -0.0023980817 -6.349088e-05 -0.0026645353 0.052753635 -0.0004773959
    2278,2288c2278,2288
    < 1 0.0007378603 -0.0001109124 -0.0086395551 0.0007646156 -0.0003863348
    < 5 -0.0470257370 0.0487535610 0.0198264971 -0.0330590411 -0.0022706464
    < 10 -0.9267771056 0.0248761580 0.0001745566 -0.1488665938 -0.0001705670
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 9.992007e-05 0.0001554312 0.003208198 4.440892e-05 1.873501e-05
    < 5 2.109424e-03 -0.0227207142 -0.000677236 4.246603e-04 6.661338e-05
    < 10 9.470646e-01 -0.0395190825 -0.001598721 5.560330e-01 2.309264e-03
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.110223e-05 6.661338e-05 -0.0033591185 -6.661338e-05 3.608225e-05
    < 5 2.886580e-04 -8.520962e-03 0.0003441691 -3.330669e-05 -6.106227e-04
    < 10 6.985523e-01 4.287681e-02 0.0006106227 -1.368350e-03 -7.327472e-04
    ---
    > 1 0.0007378604 -0.0001109126 -0.0086395551 0.0007646159 -0.0003863348
    > 5 -0.0470257371 0.0487535608 0.0198264970 -0.0330590412 -0.0022706467
    > 10 -0.9267771055 0.0248761580 0.0001745566 -0.1488665938 -0.0001705668
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0001221245 -0.0001998401 0.0032091517 -0.0003330669 5.551115e-06
    > 5 0.0022426505 -0.0227207142 -0.0002109424 0.0004579670 4.329870e-04
    > 10 0.9468759110 -0.0395319194 -0.0018429702 0.5559788741 1.587619e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 5.551115e-04 0.0004884981 -3.358251e-03 5.329071e-04 2.567391e-05
    > 5 2.220446e-05 -0.0086042284 -8.881784e-05 -8.604228e-05 -5.551115e-04
    > 10 6.982193e-01 0.0428782010 7.549517e-04 -1.423861e-03 -1.543210e-03
    2293,2303c2293,2303
    < 1 -3.524204e-01 -0.0036737539 -5.345182e-03 -6.740859e-04 -2.293194e-02
    < 5 -1.545181e-03 0.0172112924 8.605977e-04 7.059142e-03 -1.421068e-03
    < 10 5.140333e-08 0.0001321922 -1.171285e-06 5.837816e-06 6.546985e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.7352340958 0.0627498054 6.853025e-03 -1.443290e-03 -0.0356763230
    < 5 0.0003774758 -0.0047462034 -1.110223e-05 -1.768030e-03 0.0003219647
    < 10 0.0001998401 -0.0008566065 -7.216450e-04 9.714451e-06 0.0002775558
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.7289058246 -0.2371880470 -0.0064373853 -1.998401e-04 0.1443276054
    < 5 -0.0007105427 -0.0005273559 0.0007660539 -1.304512e-04 -0.0003996803
    < 10 0.0003885781 0.0006949302 0.0002220446 -8.881784e-05 0.0004329870
    ---
    > 1 -3.524204e-01 -0.0036737542 -5.345182e-03 -6.740863e-04 -2.293194e-02
    > 5 -1.545181e-03 0.0172112923 8.605977e-04 7.059142e-03 -1.421068e-03
    > 10 5.140333e-08 0.0001321922 -1.171396e-06 5.837802e-06 6.548095e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.7359002296 0.0638045172 0.006854413 -3.996803e-04 -0.0356506491
    > 5 -0.0003330669 -0.0049182880 -0.000432987 -1.892930e-03 -0.0002220446
    > 10 0.0001887379 -0.0008611167 -0.001199041 -1.665335e-05 -0.0001887379
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.7291278692 -0.2368327756 -0.006436952 8.881784e-05 1.443234e-01
    > 5 0.0005773160 -0.0003941292 0.001376677 5.273559e-05 4.440892e-05
    > 10 0.0007882583 0.0007140122 0.001076916 -1.665335e-05 9.436896e-04
    2308,2318c2308,2318
    < 1 0.1216288719 1.010428e-01 0.0129129544 9.811751e-05 9.684509e-03
    < 5 0.0104474158 -1.010648e-01 -0.1919944500 1.673755e-01 -1.325398e-02
    < 10 0.0004057652 -8.664632e-06 -0.0003809031 1.375035e-02 9.132761e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0608735284 -2.936651e-01 -0.007352972 -0.000577316 0.0414564216
    < 5 0.0005107026 4.890532e-03 0.015476509 -0.126304522 0.0023092639
    < 10 -0.0023869795 9.402201e-05 0.003064216 -0.041618098 -0.0004662937
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.5237033029 0.365907304 0.007810159 0.001287859 -5.667966e-02
    < 5 -0.0005329071 -0.003363976 -0.009126033 0.081457063 -1.243450e-03
    < 10 0.0003441691 -0.000106859 -0.003386180 0.038902215 -8.881784e-05
    ---
    > 1 0.1216288720 1.010428e-01 0.0129129544 9.811785e-05 0.0096845095
    > 5 0.0104474158 -1.010648e-01 -0.1919944500 1.673755e-01 -0.0132539841
    > 10 0.0004057653 -8.664642e-06 -0.0003809031 1.375035e-02 0.0000913275
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0603517236 -0.2937317056 -0.007352365 -0.000577316 0.041457116
    > 5 -0.0004218847 0.0048183679 0.014765966 -0.126468280 0.001798561
    > 10 -0.0027422509 0.0000947159 0.003097522 -0.041652792 -0.001132427
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.5243028234 0.3660405312 0.007810506 0.001620926 -0.0566824365
    > 5 0.0000000000 -0.0035804693 -0.009081624 0.081445961 -0.0010436096
    > 10 0.0007882583 -0.0000915934 -0.003108624 0.038918868 -0.0001665335
    2323,2333c2323,2333
    < 1 -0.0004187247 0.0002454352 -0.0005131758 0.0002677683 -0.0010347530
    < 5 0.0281674575 0.2706950978 0.0549985041 -0.1399743117 -0.1044487199
    < 10 0.8782746195 -0.0933159674 0.0005677634 -0.5438053339 0.0004404503
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -6.661338e-05 -0.0003108624 1.682682e-05 -0.0008437695 -4.857226e-06
    < 5 -6.661338e-04 0.1103450664 1.698641e-03 0.1708300168 -9.926504e-02
    < 10 -1.059486e+00 0.2127464871 -1.987299e-03 0.6460956770 -4.773959e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0006106227 2.220446e-05 -2.454634e-05 -0.0002664535 -2.775558e-06
    < 5 -0.0023536728 -2.459311e-01 -3.008704e-03 -0.0885652662 1.578959e-01
    < 10 -0.8254952277 -1.579792e-01 -7.105427e-04 -0.1718458709 -6.439294e-04
    ---
    > 1 -0.0004187246 0.0002454353 -0.0005131758 0.0002677683 -0.0010347530
    > 5 0.0281674578 0.2706950980 0.0549985044 -0.1399743114 -0.1044487195
    > 10 0.8782746196 -0.0933159674 0.0005677636 -0.5438053339 0.0004404499
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -2.220446e-05 -0.0002775558 1.708703e-05 -0.0003996803 -7.632783e-06
    > 5 -1.110223e-04 0.1102951064 2.109424e-03 0.1708577724 -9.884316e-02
    > 10 -1.059053e+00 0.2127523852 -2.264855e-03 0.6461386981 -5.884182e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0001554312 0.0002997602 -2.237793e-05 0.0003552714 2.567391e-05
    > 5 -0.0015765167 -0.2457700710 -2.553513e-03 -0.0884847751 1.585510e-01
    > 10 -0.8247735828 -0.1579583686 -3.330669e-04 -0.1717792575 -1.443290e-04
    2338,2348c2338,2348
    < 1 7.726916e-02 2.462559e-01 1.444145e-02 -1.702297e-04 -0.001143536
    < 5 -1.669579e-03 2.395467e-02 -3.079980e-02 3.115252e-02 0.186571572
    < 10 -4.757306e-07 -9.647352e-07 5.882295e-06 2.540028e-05 0.000243745
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0917377285 -3.097522e-01 -0.0075232355 0.0004440892 -0.0525066102
    < 5 0.0012878587 2.529921e-01 0.0041522341 -0.0432931468 0.2180811087
    < 10 0.0001998401 1.249001e-05 -0.0002442491 -0.0003358425 0.0002109424
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.3143485472 3.837708e-01 0.008048423 0.0005551115 0.0673634759
    < 5 -0.0023092639 -4.369505e-01 -0.004829470 0.0371980224 -0.3165800955
    < 10 -0.0003774758 -1.214306e-05 -0.001387779 0.0003219647 -0.0004773959
    ---
    > 1 7.726916e-02 2.462559e-01 1.444145e-02 -1.702297e-04 -0.0011435364
    > 5 -1.669579e-03 2.395467e-02 -3.079980e-02 3.115252e-02 0.1865715716
    > 10 -4.753975e-07 -9.647352e-07 5.882517e-06 2.540022e-05 0.0002437452
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.091981978 -3.098410e-01 -0.007521241 0.0004440892 -0.052521182
    > 5 0.001065814 2.530143e-01 0.004174439 -0.0433819647 0.217981189
    > 10 0.001287859 3.469447e-05 0.001176836 -0.0001679212 0.001054712
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.3145705918 3.837486e-01 0.0080528466 -0.0004884981 0.0673676392
    > 5 -0.0026201263 -4.370670e-01 -0.0054956040 0.0371730424 -0.3167244245
    > 10 -0.0009325873 -8.326673e-06 -0.0005107026 0.0002609024 -0.0004551914
    2353,2363c2353,2363
    < 1 -0.003537292 3.440837e-05 0.0002428329 0.0072136684 -0.0046351080
    < 5 0.010450845 -7.184590e-02 -0.4796558329 -0.4060867920 -0.0302073599
    < 10 0.001176697 -5.155400e-05 -0.0023774817 -0.0002928755 0.0001158896
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0002664535 0.0004773959 -8.673617e-08 -0.0004440892 4.093947e-05
    < 5 -0.0028643754 0.0304478665 1.617484e-01 0.0308475467 2.291500e-02
    < 10 -0.0088484775 0.0005544176 1.855183e-02 0.0028879676 2.453593e-03
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0004440892 -0.0005329071 -1.387779e-06 8.881784e-05 -4.857226e-06
    < 5 0.0021982416 -0.0250965915 -1.186828e-01 -2.531308e-02 -2.087219e-02
    < 10 0.0055067062 -0.0004531098 -1.534328e-02 -2.146894e-03 -1.088019e-03
    ---
    > 1 -0.003537293 3.440803e-05 0.0002428329 0.0072136680 -0.0046351080
    > 5 0.010450845 -7.184590e-02 -0.4796558331 -0.4060867921 -0.0302073598
    > 10 0.001176697 -5.155399e-05 -0.0023774812 -0.0002928755 0.0001158896
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0002997602 0.0005662137 -1.214306e-06 -0.0004218847 6.383782e-05
    > 5 -0.0031308289 0.0307975867 1.624256e-01 0.0309252624 2.355893e-02
    > 10 -0.0086153307 0.0005530298 1.820766e-02 0.0028338443 1.709743e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0005218048 -0.0009547918 7.806256e-07 0.0007105427 9.020562e-06
    > 5 0.0019539925 -0.0252076138 -1.190603e-01 -0.0254157806 -2.139400e-02
    > 10 0.0053623772 -0.0004319461 -1.452172e-02 -0.0020719537 -7.771561e-05
    2368,2378c2368,2378
    < 1 1.647730e-01 1.403681e-02 1.852824e-01 -3.873933e-03 -1.597542e-01
    < 5 -2.170971e-04 -6.116294e-04 -1.486475e-02 5.543505e-02 -1.588004e-02
    < 10 4.794831e-06 2.071954e-08 5.887957e-06 7.576301e-07 5.888623e-06
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.3570810314 5.973000e-03 -1.078168e-01 0.0001110223 -0.4961246691
    < 5 -0.0016875390 2.275957e-04 5.551115e-05 -0.0599909011 -0.0001332268
    < 10 -0.0005329071 -7.979728e-06 -8.215650e-04 -0.0001429412 -0.0008659740
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.2921995979 3.548273e-02 0.1061114738 0.0001998401 0.6975607592
    < 5 0.0018873791 -4.440892e-05 0.0008437695 0.0629718500 0.0006439294
    < 10 -0.0001221245 2.393918e-05 0.0002553513 0.0001054712 0.0005440093
    ---
    > 1 1.647730e-01 1.403681e-02 1.852824e-01 -3.873932e-03 -1.597542e-01
    > 5 -2.170970e-04 -6.116294e-04 -1.486475e-02 5.543505e-02 -1.588004e-02
    > 10 4.794276e-06 2.072301e-08 5.887957e-06 7.576301e-07 5.888623e-06
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.356625840 6.306067e-03 -1.078121e-01 0.0011990409 -0.4960955258
    > 5 -0.002287059 -2.220446e-05 -5.551115e-05 -0.0599270633 -0.0004551914
    > 10 -0.001054712 -1.491862e-05 -1.065814e-03 -0.0001956768 -0.0012101431
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.2923661313 3.578249e-02 0.1061112136 -2.220446e-05 0.6975545142
    > 5 0.0023314684 -4.996004e-05 0.0005218048 6.294687e-02 0.0007105427
    > 10 0.0003108624 2.012279e-05 0.0003330669 -1.387779e-06 0.0004218847
    2383,2393c2383,2393
    < 1 -2.102100e-03 -1.014496e-04 -3.360329e-02 4.544331e-03 9.415917e-05
    < 5 -4.594576e-04 -6.481625e-02 -1.034060e-02 -3.817983e-02 2.805260e-01
    < 10 -5.136891e-06 7.264794e-05 -3.152034e-06 -3.943165e-06 1.647000e-04
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0003774758 0.0014654944 0.003121548 -1.554312e-04 1.457168e-05
    < 5 0.0012212453 -0.0648425758 0.005073719 1.901229e-01 3.198664e-01
    < 10 0.0004440892 -0.0006668277 0.000000000 8.465451e-05 5.551115e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -1.110223e-05 -0.0003774758 -0.002397995 -8.881784e-05 -1.595946e-05
    < 5 -4.440892e-05 0.1231237334 -0.003297362 -2.745804e-01 -5.325740e-01
    < 10 -1.254552e-03 0.0007355228 -0.001243450 -2.164935e-04 -1.898481e-03
    ---
    > 1 -2.102100e-03 -1.014494e-04 -3.360329e-02 4.544332e-03 9.415917e-05
    > 5 -4.594578e-04 -6.481625e-02 -1.034060e-02 -3.817983e-02 2.805260e-01
    > 10 -5.136336e-06 7.264794e-05 -3.151590e-06 -3.943137e-06 1.647004e-04
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0002109424 0.0017874591 0.0031186859 -3.330669e-04 1.040834e-05
    > 5 0.0006439294 -0.0650257626 0.0056288307 1.901118e-01 3.198886e-01
    > 10 -0.0001110223 -0.0006918077 -0.0007993606 1.804112e-05 -1.665335e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0002442491 -0.0005551115 -0.0023992960 -4.662937e-04 -1.804112e-05
    > 5 0.0003108624 0.1232181024 -0.0034638958 -2.745498e-01 -5.325851e-01
    > 10 -0.0002997602 0.0007757683 -0.0006217249 -7.077672e-05 -5.440093e-04
    2397,2411c2397,2411
    < d_y1_d_x1 -1.563915e-01 0.0916347384 -0.1914359596 1.669985e-01 0.0304158301
    < d_y2_d_x1 4.175921e-04 -0.0361629797 0.0005111669 -4.459151e-04 0.0702945168
    < d_y3_d_x1 -3.407720e-03 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964603
    < d_y4_d_x1 -9.140932e-05 -0.0001078717 -0.0001118927 9.760914e-05 -0.0001342123
    < d_y5_d_x1 1.258768e-03 0.0001281769 0.0015408346 -1.344142e-03 0.0028022778
    < d_y1_d_x2 1.790235e-01 0.0000000000 0.4673285688 -1.917577e-01 -0.0023536728
    < d_y2_d_x2 3.689271e-02 0.0000000000 0.0082502333 -3.975709e-02 -0.1624589352
    < d_y3_d_x2 8.787675e-03 0.0000000000 0.0081991345 -9.386675e-03 -0.0027710473
    < d_y4_d_x2 -4.662937e-04 0.0000000000 0.0007828983 3.996803e-04 -0.0003996803
    < d_y5_d_x2 -3.046174e-04 0.0000000000 -0.0015288833 3.844147e-04 0.0299690828
    < d_y1_d_x3 4.708012e-01 0.0000000000 0.5777822665 -2.549048e-01 -0.1580957587
    < d_y2_d_x3 -9.120482e-02 0.0000000000 -0.1109112802 6.170747e-02 0.2021716128
    < d_y3_d_x3 -1.212650e-02 0.0000000000 -0.0148311918 1.038289e-02 0.0030177250
    < d_y4_d_x3 -7.549517e-04 0.0000000000 -0.0005329071 6.718763e-04 -0.0017985613
    < d_y5_d_x3 -3.167605e-03 0.0000000000 -0.0038268000 2.251426e-03 -0.0392956501
    ---
    > d_y1_d_x1 -0.1563914767 0.0916347381 -0.1914359595 1.669985e-01 0.0304158301
    > d_y2_d_x1 0.0004175918 -0.0361629801 0.0005111674 -4.459150e-04 0.0702945167
    > d_y3_d_x1 -0.0034077201 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964603
    > d_y4_d_x1 -0.0000914101 -0.0001078725 -0.0001118924 9.760925e-05 -0.0001342124
    > d_y5_d_x1 0.0012587677 0.0001281769 0.0015408346 -1.344142e-03 0.0028022777
    > d_y1_d_x2 0.1785016579 0.0000000000 0.4676505335 -1.918132e-01 -0.0017874591
    > d_y2_d_x2 0.0368594044 0.0000000000 0.0082391312 -3.943512e-02 -0.1621813794
    > d_y3_d_x2 0.0087862877 0.0000000000 0.0082012162 -9.385721e-03 -0.0027707871
    > d_y4_d_x2 -0.0010214052 0.0000000000 0.0006496715 -1.110223e-04 -0.0001776357
    > d_y5_d_x2 -0.0003004541 0.0000000000 -0.0015143116 3.989864e-04 0.0299947567
    > d_y1_d_x3 0.4700240197 0.0000000000 0.5775824263 -2.544274e-01 -0.1587951992
    > d_y2_d_x3 -0.0920929999 0.0000000000 -0.1112443471 6.219597e-02 0.2018163414
    > d_y3_d_x3 -0.0121292733 0.0000000000 -0.0148305847 1.038419e-02 0.0030158168
    > d_y4_d_x3 -0.0014210855 0.0000000000 -0.0019761970 6.496718e-04 -0.0011546319
    > d_y5_d_x3 -0.0031502578 0.0000000000 -0.0038392900 2.245875e-03 -0.0393067523
    2413,2414c2413,2414
    < d_y1_d_x1 -0.0282392828 0.0372314634 -0.0324787444 0.0595716564 -0.0353916252
    < d_y2_d_x1 0.1850031566 0.0860462382 -0.0750621517 0.0134187922 0.0505661198
    ---
    > d_y1_d_x1 -0.0282392827 0.0372314635 -0.0324787444 0.0595716566 -0.0353916250
    > d_y2_d_x1 0.1850031566 0.0860462380 -0.0750621514 0.0134187921 0.0505661196
    2416,2427c2416,2427
    < d_y4_d_x1 -0.0001283528 -0.0001642870 0.0001433150 -0.0007605947 -0.0007680381
    < d_y5_d_x1 -0.0079661264 0.0034302172 -0.0029923386 -0.0128805560 0.0156551650
    < d_y1_d_x2 0.0000000000 -0.0612974433 0.0021760371 -0.0641930953 0.0000000000
    < d_y2_d_x2 0.0000000000 -0.0843543483 0.1735167565 -0.0461519711 0.0000000000
    < d_y3_d_x2 0.0000000000 -0.0028918126 0.0029608260 -0.0561400752 0.0000000000
    < d_y4_d_x2 0.0000000000 -0.0009045232 0.0001776357 -0.0002886580 0.0000000000
    < d_y5_d_x2 0.0000000000 0.0259688757 -0.0320542204 -0.0573388559 0.0000000000
    < d_y1_d_x3 0.0000000000 -0.1917688230 0.1089552571 -0.1858402321 0.0000000000
    < d_y2_d_x3 0.0000000000 0.2495337270 -0.1028617664 0.0719313498 0.0000000000
    < d_y3_d_x3 0.0000000000 0.0037048489 -0.0027296160 0.0576060033 0.0000000000
    < d_y4_d_x3 0.0000000000 0.0015987212 -0.0002161852 -0.0001554312 0.0000000000
    < d_y5_d_x3 0.0000000000 -0.0480761264 0.0311279433 0.0766706143 0.0000000000
    ---
    > d_y4_d_x1 -0.0001283527 -0.0001642868 0.0001433151 -0.0007605947 -0.0007680381
    > d_y5_d_x1 -0.0079661264 0.0034302172 -0.0029923386 -0.0128805561 0.0156551650
    > d_y1_d_x2 0.0000000000 -0.0610087855 0.0013655743 -0.0649813536 0.0000000000
    > d_y2_d_x2 0.0000000000 -0.0840989970 0.1729172361 -0.0467403893 0.0000000000
    > d_y3_d_x2 0.0000000000 -0.0028929402 0.0029592648 -0.0561438916 0.0000000000
    > d_y4_d_x2 0.0000000000 -0.0002161851 -0.0014210855 -0.0005995204 0.0000000000
    > d_y5_d_x2 0.0000000000 0.0259910802 -0.0320757310 -0.0573589787 0.0000000000
    > d_y1_d_x3 0.0000000000 -0.1923905479 0.1096546977 -0.1853406317 0.0000000000
    > d_y2_d_x3 0.0000000000 0.2493227846 -0.1023288592 0.0720867810 0.0000000000
    > d_y3_d_x3 0.0000000000 0.0037018999 -0.0027282282 0.0576060033 0.0000000000
    > d_y4_d_x3 0.0000000000 0.0015099033 0.0012049003 -0.0002664535 0.0000000000
    > d_y5_d_x3 0.0000000000 -0.0481024942 0.0311550050 0.0766837982 0.0000000000
    2429,2443c2429,2443
    < d_y1_d_x1 0.0729205801 -0.0636120271 -5.028649e-04 -5.028744e-04 -6.155473e-04
    < d_y2_d_x1 0.0164256995 -0.0143289041 -9.699352e-06 -9.699463e-06 -1.187306e-05
    < d_y3_d_x1 0.0884750813 -0.0771809445 -1.765219e-02 -1.800810e-02 -2.160772e-02
    < d_y4_d_x1 -0.0009310300 0.0008121811 9.921300e-04 9.921309e-04 1.214449e-03
    < d_y5_d_x1 -0.0157668542 0.0137541631 -1.212553e-03 -1.213108e-03 -1.484263e-03
    < d_y1_d_x2 -0.1738557296 0.0689226454 0.000000e+00 0.000000e+00 6.994308e-04
    < d_y2_d_x2 -0.0194185357 0.0503042052 -8.881784e-05 0.000000e+00 -5.218047e-04
    < d_y3_d_x2 -0.0540133664 0.0599476198 2.223222e-03 0.000000e+00 2.365169e-03
    < d_y4_d_x2 -0.0003405105 0.0011324275 1.110223e-04 0.000000e+00 -1.332260e-04
    < d_y5_d_x2 -0.0417143347 0.0612981887 -2.151057e-05 0.000000e+00 -5.398493e-05
    < d_y1_d_x3 -0.2270184041 0.1028451549 2.775558e-04 0.000000e+00 -1.243450e-03
    < d_y2_d_x3 0.0888733531 -0.0420559826 9.658940e-04 0.000000e+00 -1.665335e-04
    < d_y3_d_x3 0.0705139072 -0.0468132232 -1.807929e-03 0.000000e+00 -2.216543e-03
    < d_y4_d_x3 -0.0001332268 -0.0009622351 4.884981e-04 0.000000e+00 -1.776357e-04
    < d_y5_d_x3 0.0938915612 -0.0533085325 3.885781e-05 0.000000e+00 -2.428613e-05
    ---
    > d_y1_d_x1 7.292058e-02 -0.0636120274 -5.028642e-04 -5.028739e-04 -6.155476e-04
    > d_y2_d_x1 1.642570e-02 -0.0143289044 -9.699463e-06 -9.699463e-06 -1.187317e-05
    > d_y3_d_x1 8.847508e-02 -0.0771809445 -1.765219e-02 -1.800810e-02 -2.160772e-02
    > d_y4_d_x1 -9.310297e-04 0.0008121808 9.921306e-04 9.921313e-04 1.214449e-03
    > d_y5_d_x1 -1.576685e-02 0.0137541631 -1.212553e-03 -1.213108e-03 -1.484263e-03
    > d_y1_d_x2 -1.731785e-01 0.0688005208 4.440892e-05 0.000000e+00 8.104529e-04
    > d_y2_d_x2 -1.908547e-02 0.0499600361 -1.221245e-04 0.000000e+00 6.661327e-05
    > d_y3_d_x2 -5.401285e-02 0.0599465790 2.225390e-03 0.000000e+00 2.367338e-03
    > d_y4_d_x2 3.256235e-04 0.0004440892 5.107026e-04 0.000000e+00 1.776365e-04
    > d_y5_d_x2 -4.171295e-02 0.0612773721 -5.551115e-06 0.000000e+00 -2.969880e-05
    > d_y1_d_x3 -2.276179e-01 0.1034446753 1.110223e-05 0.000000e+00 -1.998401e-04
    > d_y2_d_x3 8.837375e-02 -0.0412677243 2.220446e-05 0.000000e+00 -1.554312e-04
    > d_y3_d_x3 7.051330e-02 -0.0468096670 -1.810271e-03 0.000000e+00 -2.213507e-03
    > d_y4_d_x3 8.881784e-05 0.0010583706 1.332268e-04 0.000000e+00 0.000000e+00
    > d_y5_d_x3 9.386866e-02 -0.0533015936 6.938894e-06 0.000000e+00 -1.387779e-05
    2445,2459c2445,2459
    < d_y1_d_x1 5.369705e-04 0.0081975018 -0.0012646434 0.0100344134 -0.0087534874
    < d_y2_d_x1 1.035694e-05 -0.0220481802 -0.0517929111 -0.0269887754 0.0235435690
    < d_y3_d_x1 1.884942e-02 0.0225814660 0.0268916000 0.0276415616 -0.0241130247
    < d_y4_d_x1 -1.059420e-03 -0.0003311510 -0.0003258286 -0.0004053551 0.0003536104
    < d_y5_d_x1 1.294792e-03 -0.0407221763 0.0544513899 -0.0498472747 0.0434841051
    < d_y1_d_x2 2.775558e-04 -0.0207611706 0.0000000000 -0.0347974344 0.0223487895
    < d_y2_d_x2 -2.109424e-04 0.0428324043 0.0000000000 0.0208703370 -0.0450306459
    < d_y3_d_x2 -2.381255e-03 -0.0157237071 0.0000000000 -0.0149341944 0.0167862252
    < d_y4_d_x2 -3.774758e-04 -0.0002886580 0.0000000000 0.0001163445 0.0001776357
    < d_y5_d_x2 1.665335e-05 -0.2069094895 0.0000000000 -0.1581203475 0.2209205041
    < d_y1_d_x3 -2.997698e-04 -0.0027533531 0.0000000000 -0.0026867397 -0.0071639834
    < d_y2_d_x3 -8.548716e-04 -0.0486943819 0.0000000000 -0.0580535620 0.0226133869
    < d_y3_d_x3 1.578559e-03 0.0158708116 0.0000000000 0.0194274284 -0.0126323898
    < d_y4_d_x3 -6.661249e-05 -0.0005329071 0.0000000000 0.0004884981 0.0004494114
    < d_y5_d_x3 -4.218878e-05 0.2698979928 0.0000000000 0.3303905760 -0.1930139633
    ---
    > d_y1_d_x1 5.369704e-04 0.0081975018 -0.0012646431 0.0100344131 -8.753487e-03
    > d_y2_d_x1 1.035705e-05 -0.0220481803 -0.0517929113 -0.0269887754 2.354357e-02
    > d_y3_d_x1 1.884942e-02 0.0225814660 0.0268916000 0.0276415615 -2.411302e-02
    > d_y4_d_x1 -1.059421e-03 -0.0003311511 -0.0003258285 -0.0004053549 3.536108e-04
    > d_y5_d_x1 1.294792e-03 -0.0407221763 0.0544513899 -0.0498472747 4.348411e-02
    > d_y1_d_x2 2.442491e-04 -0.0211608508 0.0000000000 -0.0354857727 2.251532e-02
    > d_y2_d_x2 2.553513e-04 0.0427768931 0.0000000000 0.0209702570 -4.530820e-02
    > d_y3_d_x2 -2.381862e-03 -0.0157217989 0.0000000000 -0.0149315923 1.678787e-02
    > d_y4_d_x2 -3.552714e-04 0.0004218847 0.0000000000 -0.0003055403 4.440892e-05
    > d_y5_d_x2 1.595946e-05 -0.2069115712 0.0000000000 -0.1581335314 2.209274e-01
    > d_y1_d_x3 8.880835e-05 -0.0018540725 0.0000000000 -0.0021538327 -7.263903e-03
    > d_y2_d_x3 -1.221245e-04 -0.0475619544 0.0000000000 -0.0578537218 2.244685e-02
    > d_y3_d_x3 1.580814e-03 0.0158729800 0.0000000000 0.0194230916 -1.262788e-02
    > d_y4_d_x3 -3.774749e-04 -0.0001110223 0.0000000000 0.0009325873 3.827979e-04
    > d_y5_d_x3 -2.900488e-05 0.2699132584 0.0000000000 0.3304044538 -1.930042e-01
    2461,2475c2461,2475
    < d_y1_d_x1 -0.0246672514 -0.6264994448 7.378603e-04 -0.3524203664 1.216289e-01
    < d_y2_d_x1 -0.0388177325 0.0041004183 -1.109124e-04 -0.0036737539 1.010428e-01
    < d_y3_d_x1 0.0002818689 0.0059716341 -8.639555e-03 -0.0053451821 1.291295e-02
    < d_y4_d_x1 -0.0004455043 -0.0013777802 7.646156e-04 -0.0006740859 9.811751e-05
    < d_y5_d_x1 0.0055523561 -0.0023165090 -3.863348e-04 -0.0229319393 9.684509e-03
    < d_y1_d_x2 -0.0703659353 0.9782730181 9.992007e-05 0.7352340958 -6.087353e-02
    < d_y2_d_x2 -0.0499378316 0.0628497254 1.554312e-04 0.0627498054 -2.936651e-01
    < d_y3_d_x2 -0.0018158218 -0.0150875840 3.208198e-03 0.0068530251 -7.352972e-03
    < d_y4_d_x2 0.0010658141 -0.0004884981 4.440892e-05 -0.0014432899 -5.773160e-04
    < d_y5_d_x2 0.0107087950 -0.0098261677 1.873501e-05 -0.0356763230 4.145642e-02
    < d_y1_d_x3 0.2421951528 1.3402723376 1.110223e-05 0.7289058246 -5.237033e-01
    < d_y2_d_x3 0.3037459173 -0.1363908986 6.661338e-05 -0.2371880470 3.659073e-01
    < d_y3_d_x3 0.0029896224 0.0305775370 -3.359119e-03 -0.0064373853 7.810159e-03
    < d_y4_d_x3 -0.0001332268 0.0012656542 -6.661338e-05 -0.0001998401 1.287859e-03
    < d_y5_d_x3 -0.0331720762 0.0302209646 3.608225e-05 0.1443276054 -5.667966e-02
    ---
    > d_y1_d_x1 -0.0246672512 -0.6264994450 7.378604e-04 -3.524204e-01 1.216289e-01
    > d_y2_d_x1 -0.0388177324 0.0041004180 -1.109126e-04 -3.673754e-03 1.010428e-01
    > d_y3_d_x1 0.0002818689 0.0059716341 -8.639555e-03 -5.345182e-03 1.291295e-02
    > d_y4_d_x1 -0.0004455039 -0.0013777802 7.646159e-04 -6.740863e-04 9.811785e-05
    > d_y5_d_x1 0.0055523561 -0.0023165090 -3.863348e-04 -2.293194e-02 9.684509e-03
    > d_y1_d_x2 -0.0704325487 0.9778733379 -1.221245e-04 7.359002e-01 -6.035172e-02
    > d_y2_d_x2 -0.0501487740 0.0629718500 -1.998401e-04 6.380452e-02 -2.937317e-01
    > d_y3_d_x2 -0.0018135667 -0.0150873238 3.209152e-03 6.854413e-03 -7.352365e-03
    > d_y4_d_x2 0.0011102230 -0.0005329071 -3.330669e-04 -3.996803e-04 -5.773160e-04
    > d_y5_d_x2 0.0107067133 -0.0098698827 5.551115e-06 -3.565065e-02 4.145712e-02
    > d_y1_d_x3 0.2419398015 1.3408163468 5.551115e-04 7.291279e-01 -5.243028e-01
    > d_y2_d_x3 0.3037459173 -0.1364464097 4.884981e-04 -2.368328e-01 3.660405e-01
    > d_y3_d_x3 0.0029897092 0.0305797054 -3.358251e-03 -6.436952e-03 7.810506e-03
    > d_y4_d_x3 0.0001776357 0.0013322676 5.329071e-04 8.881784e-05 1.620926e-03
    > d_y5_d_x3 -0.0331568106 0.0302570469 2.567391e-05 1.443234e-01 -5.668244e-02
    2477,2491c2477,2491
    < d_y1_d_x1 -4.187247e-04 0.0772691642 -3.537292e-03 0.1647729929 -2.102100e-03
    < d_y2_d_x1 2.454352e-04 0.2462559052 3.440837e-05 0.0140368148 -1.014496e-04
    < d_y3_d_x1 -5.131758e-04 0.0144414535 2.428329e-04 0.1852824234 -3.360329e-02
    < d_y4_d_x1 2.677683e-04 -0.0001702297 7.213668e-03 -0.0038739327 4.544331e-03
    < d_y5_d_x1 -1.034753e-03 -0.0011435364 -4.635108e-03 -0.1597542283 9.415917e-05
    < d_y1_d_x2 -6.661338e-05 -0.0917377285 -2.664535e-04 -0.3570810314 -3.774758e-04
    < d_y2_d_x2 -3.108624e-04 -0.3097522239 4.773959e-04 0.0059729999 1.465494e-03
    < d_y3_d_x2 1.682682e-05 -0.0075232355 -8.673617e-08 -0.1078167937 3.121548e-03
    < d_y4_d_x2 -8.437695e-04 0.0004440892 -4.440892e-04 0.0001110223 -1.554312e-04
    < d_y5_d_x2 -4.857226e-06 -0.0525066102 4.093947e-05 -0.4961246691 1.457168e-05
    < d_y1_d_x3 -6.106227e-04 -0.3143485472 4.440892e-04 -0.2921995979 -1.110223e-05
    < d_y2_d_x3 2.220446e-05 0.3837707929 -5.329071e-04 0.0354827279 -3.774758e-04
    < d_y3_d_x3 -2.454634e-05 0.0080484230 -1.387779e-06 0.1061114738 -2.397995e-03
    < d_y4_d_x3 -2.664535e-04 0.0005551115 8.881784e-05 0.0001998401 -8.881784e-05
    < d_y5_d_x3 -2.775558e-06 0.0673634759 -4.857226e-06 0.6975607592 -1.595946e-05
    ---
    > d_y1_d_x1 -4.187246e-04 0.0772691643 -3.537293e-03 1.647730e-01 -2.102100e-03
    > d_y2_d_x1 2.454353e-04 0.2462559053 3.440803e-05 1.403681e-02 -1.014494e-04
    > d_y3_d_x1 -5.131758e-04 0.0144414535 2.428329e-04 1.852824e-01 -3.360329e-02
    > d_y4_d_x1 2.677683e-04 -0.0001702297 7.213668e-03 -3.873932e-03 4.544332e-03
    > d_y5_d_x1 -1.034753e-03 -0.0011435364 -4.635108e-03 -1.597542e-01 9.415917e-05
    > d_y1_d_x2 -2.220446e-05 -0.0919819776 -2.997602e-04 -3.566258e-01 -2.109424e-04
    > d_y2_d_x2 -2.775558e-04 -0.3098410417 5.662137e-04 6.306067e-03 1.787459e-03
    > d_y3_d_x2 1.708703e-05 -0.0075212406 -1.214306e-06 -1.078121e-01 3.118686e-03
    > d_y4_d_x2 -3.996803e-04 0.0004440892 -4.218847e-04 1.199041e-03 -3.330669e-04
    > d_y5_d_x2 -7.632783e-06 -0.0525211818 6.383782e-05 -4.960955e-01 1.040834e-05
    > d_y1_d_x3 -1.554312e-04 -0.3145705918 5.218048e-04 -2.923661e-01 -2.442491e-04
    > d_y2_d_x3 2.997602e-04 0.3837485885 -9.547918e-04 3.578249e-02 -5.551115e-04
    > d_y3_d_x3 -2.237793e-05 0.0080528466 7.806256e-07 1.061112e-01 -2.399296e-03
    > d_y4_d_x3 3.552714e-04 -0.0004884981 7.105427e-04 -2.220446e-05 -4.662937e-04
    > d_y5_d_x3 2.567391e-05 0.0673676392 9.020562e-06 6.975545e-01 -1.804112e-05
    2502c2502
    < 1: d_y4_d_x2 2.593e-05 2.953e-03 0.009 0.993
    ---
    > 1: d_y4_d_x2 2.593e-05 3.022e-03 0.009 0.993
    2505c2505
    < 1: d_y2_d_x3 -8.944e-02 7.803e-01 -0.115 0.909
    ---
    > 1: d_y2_d_x3 -8.944e-02 7.800e-01 -0.115 0.909
    2507c2507
    < 1: d_y4_d_x3 1.592e-05 3.587e-03 0.004 0.996
    ---
    > 1: d_y4_d_x3 1.592e-05 4.429e-03 0.004 0.997
    2514,2519c2514,2519
    < 2: d_y1_d_x2 6.220e-05 6.145e-03 0.010 0.992
    < 2: d_y2_d_x2 2.744e-01 4.858e-01 0.565 0.572
    < 2: d_y3_d_x2 -8.325e-03 1.789e-01 -0.047 0.963
    < 2: d_y4_d_x2 2.081e-01 5.661e-01 0.367 0.713
    < 2: d_y5_d_x2 -2.375e-01 5.922e-01 -0.401 0.688
    < 2: d_y1_d_x3 -1.089e-04 6.653e-03 -0.016 0.987
    ---
    > 2: d_y1_d_x2 6.220e-05 6.198e-03 0.010 0.992
    > 2: d_y2_d_x2 2.744e-01 4.860e-01 0.565 0.572
    > 2: d_y3_d_x2 -8.325e-03 1.794e-01 -0.046 0.963
    > 2: d_y4_d_x2 2.081e-01 5.662e-01 0.367 0.713
    > 2: d_y5_d_x2 -2.375e-01 5.920e-01 -0.401 0.688
    > 2: d_y1_d_x3 -1.089e-04 7.327e-03 -0.015 0.988
    2521,2522c2521,2522
    < 2: d_y3_d_x3 6.280e-03 1.336e-01 0.047 0.963
    < 2: d_y4_d_x3 -2.654e-01 7.647e-01 -0.347 0.728
    ---
    > 2: d_y3_d_x3 6.280e-03 1.340e-01 0.047 0.963
    > 2: d_y4_d_x3 -2.654e-01 7.646e-01 -0.347 0.728
    2531c2531
    < 3: d_y3_d_x2 -8.285e-04 2.105e-02 -0.039 0.969
    ---
    > 3: d_y3_d_x2 -8.285e-04 2.084e-02 -0.040 0.968
    2533c2533
    < 3: d_y5_d_x2 -2.282e-04 4.175e-03 -0.055 0.956
    ---
    > 3: d_y5_d_x2 -2.282e-04 4.517e-03 -0.051 0.960
    2536c2536
    < 3: d_y3_d_x3 3.932e-04 1.767e-02 0.022 0.982
    ---
    > 3: d_y3_d_x3 3.932e-04 1.682e-02 0.023 0.981
    2538c2538
    < 3: d_y5_d_x3 -6.966e-05 4.451e-03 -0.016 0.988
    ---
    > 3: d_y5_d_x3 -6.966e-05 4.765e-03 -0.015 0.988
    2559,2567c2559,2567
    < 2 0.305151591 -0.8072288593 0.50211307 -0.477711823 -0.147263126 -0.374513309
    < 3 0.222294024 -0.7165728459 0.44307519 -0.295276270 -0.378400142 -0.326479320
    < 4 0.236440301 -0.6882505139 0.47040241 -0.599430290 -0.027083595 -0.415869352
    < 5 0.177253207 -0.2179098190 0.13565753 -0.339571429 -0.002495559 -0.321244284
    < 6 0.030011973 -0.0282737934 0.16990098 -0.013512968 -0.226915097 -0.031253663
    < 7 0.034526629 -0.2797232527 0.07204689 -0.189716052 -0.204170445 -0.041758224
    < 8 0.043465496 -0.0039813280 0.09720844 -0.007732508 -0.229714046 -0.071289981
    < 9 0.141375416 -0.2360392808 0.22050272 -0.336321419 -0.312178069 -0.136455241
    < 10 0.006340279 0.0001769022 0.07806165 -0.002740801 -0.339740704 -0.004736787
    ---
    > 2 0.305151591 -0.8072288592 0.50211307 -0.477711823 -0.147263126 -0.374513309
    > 3 0.222294024 -0.7165728460 0.44307519 -0.295276270 -0.378400142 -0.326479319
    > 4 0.236440301 -0.6882505142 0.47040241 -0.599430290 -0.027083595 -0.415869352
    > 5 0.177253207 -0.2179098194 0.13565753 -0.339571429 -0.002495559 -0.321244284
    > 6 0.030011972 -0.0282737934 0.16990098 -0.013512968 -0.226915096 -0.031253662
    > 7 0.034526629 -0.2797232532 0.07204689 -0.189716053 -0.204170445 -0.041758224
    > 8 0.043465496 -0.0039813285 0.09720844 -0.007732508 -0.229714046 -0.071289981
    > 9 0.141375416 -0.2360392807 0.22050272 -0.336321419 -0.312178069 -0.136455242
    > 10 0.006340279 0.0001769017 0.07806165 -0.002740801 -0.339740704 -0.004736787
    2570,2573c2570,2573
    < 2 0.6998115008 -0.42115012 0.616908811
    < 3 0.5898997979 -0.34928550 0.356894349
    < 4 0.5314965857 -0.51916055 0.775034275
    < 5 0.1453066488 -0.19712872 0.511189076
    ---
    > 2 0.6998115010 -0.42115012 0.616908811
    > 3 0.5898997982 -0.34928550 0.356894349
    > 4 0.5314965859 -0.51916055 0.775034274
    > 5 0.1453066494 -0.19712872 0.511189076
    2575,2576c2575,2576
    < 7 0.2078920653 -0.05152273 0.272450182
    < 8 0.0029102998 -0.11236499 0.011243764
    ---
    > 7 0.2078920658 -0.05152273 0.272450182
    > 8 0.0029103000 -0.11236499 0.011243763
    2578c2578
    < 10 -0.0002166245 -0.07032604 0.004095378
    ---
    > 10 -0.0002166239 -0.07032604 0.004095378
    2592,2594c2592,2594
    < 1 0.30295427 -0.017218365 -0.0068724139 -0.0007987825 -0.016039859 -0.13843079
    < 5 0.09454287 -0.049296237 -0.0580552884 -0.0343232967 -0.007904557 -0.02144587
    < 10 0.62644588 0.004432102 -0.0003387514 0.0276848048 0.002067240 -0.68977082
    ---
    > 1 0.30295427 -0.017218365 -0.0068724138 -0.0007987828 -0.016039859 -0.13861137
    > 5 0.09454287 -0.049296237 -0.0580552882 -0.0343232969 -0.007904557 -0.02152522
    > 10 0.62644588 0.004432102 -0.0003387511 0.0276848048 0.002067240 -0.68974055
    2596,2598c2596,2598
    < 1 -0.05309826 -0.017280681 -0.077143745 0.017773182 0.04499962 0.06391347
    < 5 0.02954112 0.059213831 0.006036484 -0.025133275 -0.01718167 -0.05089540
    < 10 -0.01036328 0.001799458 0.009030160 0.001444094 -0.32553348 0.01393256
    ---
    > 1 -0.05352857 -0.017287743 -0.077463779 0.017755896 0.04493873 0.06372503
    > 5 0.02951478 0.059006945 0.006034385 -0.025143743 -0.01708604 -0.05086909
    > 10 -0.01036328 0.001268045 0.009016088 0.001010435 -0.32552103 0.01393215
    2600,2602c2600,2602
    < 1 0.0321848342 0.06792361 0.0401556304
    < 5 -0.0155963134 -0.01134441 0.0323869291
    < 10 0.0002603317 0.07242435 -0.0001418207
    ---
    > 1 0.0322048225 0.06786429 0.040164460
    > 5 -0.0152675121 -0.01136241 0.032338461
    > 10 -0.0002829929 0.07240787 -0.000211752
    2608,2609c2608,2609
    < 5 -0.049296237 0.2929895651 3.153824e-01 -0.201184137 -4.192393e-02
    < 10 0.004432102 0.0005037651 7.202319e-06 0.000641001 2.136184e-05
    ---
    > 5 -0.049296237 0.2929895650 3.153824e-01 -0.201184137 -4.192393e-02
    > 10 0.004432102 0.0005037651 7.202316e-06 0.000641001 2.136184e-05
    2611,2617c2611,2617
    < 1 0.038966327 -0.09435796 -2.942858e-02 -0.0062443174 1.657715e-02
    < 5 0.009248085 -0.06819992 -1.952902e-01 0.0880802785 6.751377e-02
    < 10 -0.009246977 -0.00151109 2.380945e-05 -0.0001315819 5.535117e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.046823676 0.082729383 3.571624e-02 -0.004819824 -1.806442e-02
    < 5 0.005370045 0.136148519 9.503767e-02 -0.081276818 -9.622020e-02
    < 10 -0.004928043 0.001376736 -4.822547e-06 0.001038757 -2.459353e-05
    ---
    > 1 0.038857208 -0.094400097 -2.942319e-02 -0.0063543095 0.0165336330
    > 5 0.009249418 -0.068181151 -1.950387e-01 0.0880736080 0.0673953794
    > 10 -0.009244504 -0.001511118 2.824234e-05 -0.0001315426 0.0000445859
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.046887462 0.082624678 3.571344e-02 -0.004860131 -1.803348e-02
    > 5 0.005778696 0.136186509 9.488304e-02 -0.081270807 -9.614347e-02
    > 10 -0.004931153 0.001376746 -3.618484e-05 0.001038626 -2.480987e-05
    2622,2632c2622,2632
    < 1 -0.0068724139 6.227196e-02 3.451190e-01 -2.529480e-01 2.723144e-02
    < 5 -0.0580552884 3.153824e-01 1.139623e+00 -7.595576e-01 -1.068731e-01
    < 10 -0.0003387514 7.202319e-06 9.808411e-07 -1.692138e-06 -1.967878e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0152698191 -3.115464e-02 -1.383211e-01 6.433553e-02 -2.980671e-02
    < 5 0.0211495637 -1.528202e-01 -7.156409e-01 2.431005e-01 1.539238e-01
    < 10 0.0004252043 -2.559797e-05 -2.606871e-06 -2.370334e-05 -4.806677e-06
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0196737969 2.701638e-02 1.391938e-01 -2.809736e-02 3.706557e-02
    < 5 0.0093826220 1.866810e-01 3.870611e-01 -2.915865e-01 -1.086438e-01
    < 10 0.0001785316 1.698237e-05 6.926191e-07 -3.560971e-05 8.962457e-06
    ---
    > 1 -0.0068724138 6.227196e-02 3.451190e-01 -2.529480e-01 2.723144e-02
    > 5 -0.0580552882 3.153824e-01 1.139623e+00 -7.595576e-01 -1.068731e-01
    > 10 -0.0003387511 7.202316e-06 9.808412e-07 -1.692167e-06 -1.967879e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0153280427 -3.091568e-02 -1.383181e-01 6.436849e-02 -2.976886e-02
    > 5 0.0218174229 -1.527560e-01 -7.148051e-01 2.431613e-01 1.537527e-01
    > 10 0.0004251727 -2.559827e-05 -1.995998e-06 -2.370779e-05 -4.914330e-06
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0198072872 2.701209e-02 1.392003e-01 -2.800403e-02 3.700592e-02
    > 5 0.0092095144 1.867800e-01 3.869382e-01 -2.915511e-01 -1.088114e-01
    > 10 0.0001785236 1.698283e-05 -1.249156e-08 -3.557477e-05 9.322443e-06
    2637,2647c2637,2647
    < 1 -0.0007987825 0.040139738 -2.529480e-01 0.70425495 -0.039872968
    < 5 -0.0343232967 -0.201184137 -7.595576e-01 0.84867619 0.128251461
    < 10 0.0276848048 0.000641001 -1.692138e-06 0.03302969 0.000348983
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0259167945 -0.01832183 5.560512e-02 -0.21566217 0.0309632779
    < 5 -0.0008077962 0.09621393 4.062194e-01 -0.23188272 -0.1001251432
    < 10 -0.0987322856 -0.00178386 4.827771e-05 -0.03199579 0.0003355216
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.023635283 0.011727307 -0.0483137337 0.07341573 -0.031396056
    < 5 0.002710106 -0.113659813 -0.2472673546 0.31593960 0.095486543
    < 10 -0.037104600 0.001745456 -0.0001119177 0.02670793 -0.000237938
    ---
    > 1 -0.0007987828 0.040139738 -2.529480e-01 0.70425495 -0.039872968
    > 5 -0.0343232969 -0.201184137 -7.595576e-01 0.84867619 0.128251461
    > 10 0.0276848048 0.000641001 -1.692167e-06 0.03302969 0.000348983
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.025834333 -0.018554457 5.560032e-02 -0.21567935 0.0309267772
    > 5 -0.001308162 0.096229131 4.058140e-01 -0.23189515 -0.0999043314
    > 10 -0.098731990 -0.001783813 5.963541e-05 -0.03199371 0.0002902911
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.023572103 0.011652576 -4.832578e-02 0.07324458 -3.130000e-02
    > 5 0.002810562 -0.113738960 -2.475329e-01 0.31592859 9.559923e-02
    > 10 -0.037085369 0.001745332 5.264608e-05 0.02670972 -7.857276e-05
    2654c2654
    < 10 0.002067240 2.136184e-05 -1.967878e-05 0.000348983 0.003461298
    ---
    > 10 0.002067240 2.136184e-05 -1.967879e-05 0.000348983 0.003461298
    2656,2662c2656,2662
    < 1 -0.038941132 -5.643225e-03 2.550780e-03 0.0183749634 0.016851147
    < 5 0.002364340 -3.539958e-02 9.701205e-02 -0.0419397262 0.027854450
    < 10 -0.003346784 -5.722118e-05 9.678444e-05 -0.0001556485 0.001161733
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.053106108 1.008009e-02 -0.0069422824 -0.0098382071 -0.166599823
    < 5 0.003230974 8.704727e-02 -0.0299806572 0.0186970969 -0.073994110
    < 10 -0.001288268 6.651605e-05 -0.0001069035 0.0003765304 -0.001974683
    ---
    > 1 -0.038997769 -5.743523e-03 0.0025475931 0.0183796255 0.016845827
    > 5 0.002113014 -3.542558e-02 0.0967072245 -0.0418929613 0.027979933
    > 10 -0.003343491 -5.721849e-05 0.0001007032 -0.0001547646 0.001177401
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.053208623 1.018885e-02 -0.0069451741 -0.0096895083 -0.166602820
    > 5 0.002745458 8.697296e-02 -0.0303160211 0.0187162157 -0.073823069
    > 10 -0.001296140 6.648918e-05 -0.0001200648 0.0003747931 -0.001998159
    2667,2669c2667,2669
    < 1 -0.13843079 0.038966327 0.0152698191 0.0259167945 -0.038941132 0.291061389
    < 5 -0.02144587 0.009248085 0.0211495637 -0.0008077962 0.002364340 0.005594228
    < 10 -0.68977082 -0.009246977 0.0004252043 -0.0987322856 -0.003346784 1.574710118
    ---
    > 1 -0.13861137 0.038857208 0.0153280427 0.025834333 -0.038997769 0.29142269
    > 5 -0.02152522 0.009249418 0.0218174229 -0.001308162 0.002113014 0.00561713
    > 10 -0.68974055 -0.009244504 0.0004251727 -0.098731990 -0.003343491 1.57454448
    2671,2673c2671,2673
    < 1 0.005663607 -0.014492141 0.005147258 0.014732987 -0.056414331 -0.04982951
    < 5 -0.010279661 -0.021644608 0.001348180 0.005580092 0.004261796 0.01597796
    < 10 0.022478758 -0.003296262 0.008201126 -0.002642152 0.666394260 -0.02771636
    ---
    > 1 0.00645832 -0.014486182 0.005676343 0.014726896 -0.056390926 -0.04971224
    > 5 -0.01026033 -0.022180867 0.001459373 0.005621947 0.004230689 0.01567129
    > 10 0.02247126 -0.002642466 0.008207656 -0.001797275 0.666350357 -0.02770722
    2675,2677c2675,2677
    < 1 0.0041119777 -0.047802945 0.0871454938
    < 5 0.0081751744 -0.001608821 -0.0061317528
    < 10 -0.0009824054 -0.167973177 0.0005313087
    ---
    > 1 0.0041122928 -0.048281415 0.0871429010
    > 5 0.0085990684 -0.001801476 -0.0062843942
    > 10 -0.0006486254 -0.167939247 0.0001700394
    2681,2692c2681,2692
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
    < 1 -0.05309826 -0.09435796 -3.115464e-02 -0.01832183 -5.643225e-03 0.005663607
    < 5 0.02954112 -0.06819992 -1.528202e-01 0.09621393 -3.539958e-02 -0.010279661
    < 10 -0.01036328 -0.00151109 -2.559797e-05 -0.00178386 -5.722118e-05 0.022478758
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 0.111051278 2.765490e-02 0.0196805890 -0.0261170142 0.007228109
    < 5 0.180764831 1.603096e-01 -0.0346021886 -0.1064681005 -0.007214199
    < 10 0.004642791 -6.054123e-05 0.0006697601 -0.0001584334 0.012967748
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.114373990 -0.0354611432 -0.010551922 3.389792e-02
    < 5 -0.284611541 -0.0829591946 0.028675800 1.345363e-01
    < 10 -0.004066306 0.0000278161 -0.002663973 8.235931e-05
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
    > 1 -0.05352857 -0.094400097 -3.091568e-02 -0.018554457 -5.743523e-03
    > 5 0.02951478 -0.068181151 -1.527560e-01 0.096229131 -3.542558e-02
    > 10 -0.01036328 -0.001511118 -2.559827e-05 -0.001783813 -5.721849e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.00645832 0.11099715 2.756364e-02 0.0198493668 -0.0258877336
    > 5 -0.01026033 0.18081311 1.603623e-01 -0.0346414842 -0.1064820452
    > 10 0.02247126 0.00464296 -7.992828e-05 0.0006695315 -0.0001309747
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.007305875 -0.114276988 -0.0354418753 -0.01052557 3.427148e-02
    > 5 -0.007207260 -0.284634848 -0.0829247410 0.02867430 1.343494e-01
    > 10 0.012978031 -0.004066436 0.0001229433 -0.00266390 8.272483e-05
    2697,2707c2697,2707
    < 1 -0.017280681 -2.942858e-02 -1.383211e-01 5.560512e-02 2.550780e-03
    < 5 0.059213831 -1.952902e-01 -7.156409e-01 4.062194e-01 9.701205e-02
    < 10 0.001799458 2.380945e-05 -2.606871e-06 4.827771e-05 9.678444e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.014492141 2.765490e-02 0.0938365473 -0.0098129787 2.219033e-02
    < 5 -0.021644608 1.603096e-01 0.7957684633 -0.1863135207 1.306548e-02
    < 10 -0.003296262 -6.054123e-05 0.0000199744 0.0001595079 3.615821e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.015680400 -2.465296e-02 -9.458607e-02 0.0064999721 -0.041743607
    < 5 -0.009550067 -1.932997e-01 -4.452970e-01 0.1903383072 -0.057358350
    < 10 -0.001269149 7.141387e-05 -8.497226e-06 0.0002304659 -0.000061862
    ---
    > 1 -0.017287743 -2.942319e-02 -1.383181e-01 5.560032e-02 0.0025475931
    > 5 0.059006945 -1.950387e-01 -7.148051e-01 4.058140e-01 0.0967072245
    > 10 0.001268045 2.824234e-05 -1.995998e-06 5.963541e-05 0.0001007032
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.014486182 2.756364e-02 9.383421e-02 -0.0097900046 2.215898e-02
    > 5 -0.022180867 1.603623e-01 7.956085e-01 -0.1862739267 1.375938e-02
    > 10 -0.002642466 -7.992828e-05 1.686312e-05 0.0000730175 3.373514e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.015776669 -2.465967e-02 -9.458599e-02 0.0064888269 -4.168636e-02
    > 5 -0.009314976 -1.936855e-01 -4.456234e-01 0.1901035007 -5.725428e-02
    > 10 -0.001036574 8.433739e-05 -1.047238e-05 0.0001702743 -6.314344e-05
    2712,2722c2712,2722
    < 1 -0.077143745 -0.0062443174 6.433553e-02 -0.21566217 0.0183749634
    < 5 0.006036484 0.0880802785 2.431005e-01 -0.23188272 -0.0419397262
    < 10 0.009030160 -0.0001315819 -2.370334e-05 -0.03199579 -0.0001556485
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.005147258 0.0196805890 -0.0098129787 0.1387038 -0.0218672237
    < 5 0.001348180 -0.0346021886 -0.1863135207 0.1676944 -0.0123487104
    < 10 0.008201126 0.0006697601 0.0001595079 0.0472980 -0.0002907891
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.237701e-03 -0.0168545755 0.0045307565 -0.06991615 0.0060934817
    < 5 -8.884121e-05 0.0459436521 0.1176091434 -0.20152428 0.0157244908
    < 10 1.515647e-05 -0.0001756928 0.0001845294 -0.01833988 0.0002269682
    ---
    > 1 -0.077463779 -0.0063543095 6.436849e-02 -0.21567935 0.0183796255
    > 5 0.006034385 0.0880736080 2.431613e-01 -0.23189515 -0.0418929613
    > 10 0.009016088 -0.0001315426 -2.370779e-05 -0.03199371 -0.0001547646
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.005676343 0.0198493668 -0.0097900046 0.13863777 -0.021925681
    > 5 0.001459373 -0.0346414842 -0.1862739267 0.16776840 -0.012090000
    > 10 0.008207656 0.0006695315 0.0000730175 0.04729278 -0.000251663
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.348371e-03 -0.0170289293 4.450320e-03 -0.06986015 5.933270e-03
    > 5 -1.498301e-04 0.0459480651 1.176118e-01 -0.20160233 1.566837e-02
    > 10 1.743981e-05 -0.0001754057 3.780718e-05 -0.01834393 4.358289e-05
    2727,2737c2727,2737
    < 1 0.017773182 1.657715e-02 -2.980671e-02 0.0309632779 0.016851147
    < 5 -0.025133275 6.751377e-02 1.539238e-01 -0.1001251432 0.027854450
    < 10 0.001444094 5.535117e-05 -4.806677e-06 0.0003355216 0.001161733
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.014732987 -0.0261170142 2.219033e-02 -0.0218672237 0.1000672188
    < 5 0.005580092 -0.1064681005 1.306548e-02 -0.0123487104 0.4069715139
    < 10 -0.002642152 -0.0001584334 3.615821e-05 -0.0002907891 0.0005214706
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.021187647 0.0239145585 -1.924975e-02 0.0131153225 -0.0264015057
    < 5 0.005942081 0.1719003943 -5.418182e-02 0.0284245931 -0.5094277016
    < 10 -0.001098737 0.0001590484 -3.392982e-05 0.0002982012 -0.0007914188
    ---
    > 1 0.017755896 0.0165336330 -2.976886e-02 0.0309267772 0.016845827
    > 5 -0.025143743 0.0673953794 1.537527e-01 -0.0999043314 0.027979933
    > 10 0.001010435 0.0000445859 -4.914330e-06 0.0002902911 0.001177401
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.014726896 -0.0258877336 2.215898e-02 -0.021925681 0.099985204
    > 5 0.005621947 -0.1064820452 1.375938e-02 -0.012090000 0.406244805
    > 10 -0.001797275 -0.0001309747 3.373514e-05 -0.000251663 0.000522792
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0211510430 0.023822695 -1.922230e-02 0.0131754912 -0.0263270099
    > 5 0.0057386372 0.171920806 -5.479074e-02 0.0280992358 -0.5078625252
    > 10 -0.0006727572 0.000128403 -5.147695e-05 0.0002026528 -0.0008001017
    2742,2752c2742,2752
    < 1 0.04499962 -0.046823676 -0.0196737969 -0.023635283 0.053106108
    < 5 -0.01718167 0.005370045 0.0093826220 0.002710106 0.003230974
    < 10 -0.32553348 -0.004928043 0.0001785316 -0.037104600 -0.001288268
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.056414331 0.007228109 0.015680400 1.237701e-03 -0.021187647
    < 5 0.004261796 -0.007214199 -0.009550067 -8.884121e-05 0.005942081
    < 10 0.666394260 0.012967748 -0.001269149 1.515647e-05 -0.001098737
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.260361058 -0.003501848 -0.0269423872 -0.0143803096 -0.1122989715
    < 5 0.003677562 0.011937404 0.0025994513 -0.0002540874 -0.0088906166
    < 10 0.346304558 -0.014656460 -0.0003905888 -0.0783277478 0.0001573227
    ---
    > 1 0.04493873 -0.046887462 -0.0198072872 -0.023572103 0.053208623
    > 5 -0.01708604 0.005778696 0.0092095144 0.002810562 0.002745458
    > 10 -0.32552103 -0.004931153 0.0001785236 -0.037085369 -0.001296140
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.056390926 0.007305875 0.015776669 1.348371e-03 -0.0211510430
    > 5 0.004230689 -0.007207260 -0.009314976 -1.498301e-04 0.0057386372
    > 10 0.666350357 0.012978031 -0.001036574 1.743981e-05 -0.0006727572
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.260104019 -0.003631698 -2.703901e-02 -0.0147234227 -0.1122852346
    > 5 0.003594185 0.012105417 2.323057e-03 0.0001082379 -0.0084072591
    > 10 0.346309699 -0.014664090 -6.986208e-05 -0.0782974576 0.0001302206
    2757,2759c2757,2759
    < 1 0.06391347 0.082729383 2.701638e-02 0.011727307 1.008009e-02 -0.04982951
    < 5 -0.05089540 0.136148519 1.866810e-01 -0.113659813 8.704727e-02 0.01597796
    < 10 0.01393256 0.001376736 1.698237e-05 0.001745456 6.651605e-05 -0.02771636
    ---
    > 1 0.06372503 0.082624678 2.701209e-02 0.011652576 1.018885e-02 -0.04971224
    > 5 -0.05086909 0.136186509 1.867800e-01 -0.113738960 8.697296e-02 0.01567129
    > 10 0.01393215 0.001376746 1.698283e-05 0.001745332 6.648918e-05 -0.02770722
    2761,2763c2761,2763
    < 1 -0.114373990 -2.465296e-02 -0.0168545755 0.0239145585 -0.003501848
    < 5 -0.284611541 -1.932997e-01 0.0459436521 0.1719003943 0.011937404
    < 10 -0.004066306 7.141387e-05 -0.0001756928 0.0001590484 -0.014656460
    ---
    > 1 -0.114276988 -2.465967e-02 -0.0170289293 0.023822695 -0.003631698
    > 5 -0.284634848 -1.936855e-01 0.0459480651 0.171920806 0.012105417
    > 10 -0.004066436 8.433739e-05 -0.0001754057 0.000128403 -0.014664090
    2765,2767c2765,2767
    < 1 0.146750468 3.916807e-02 0.012912150 -4.726085e-02
    < 5 0.689804529 1.163724e-01 -0.025292188 -3.692760e-01
    < 10 0.003821864 -6.478792e-06 0.003089557 -6.937769e-05
    ---
    > 1 0.146460422 3.927633e-02 0.012923231 -4.737794e-02
    > 5 0.689742088 1.161851e-01 -0.025223562 -3.685764e-01
    > 10 0.003821908 -9.786501e-05 0.003088707 -7.157427e-05
    2772,2782c2772,2782
    < 1 0.0321848342 3.571624e-02 1.391938e-01 -0.0483137337 -0.0069422824
    < 5 -0.0155963134 9.503767e-02 3.870611e-01 -0.2472673546 -0.0299806572
    < 10 0.0002603317 -4.822547e-06 6.926191e-07 -0.0001119177 -0.0001069035
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0041119777 -0.0354611432 -9.458607e-02 0.0045307565 -1.924975e-02
    < 5 0.0081751744 -0.0829591946 -4.452970e-01 0.1176091434 -5.418182e-02
    < 10 -0.0009824054 0.0000278161 -8.497226e-06 0.0001845294 -3.392982e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0269423872 3.916807e-02 1.139627e-01 -0.0042006371 5.516461e-02
    < 5 0.0025994513 1.163724e-01 3.222515e-01 -0.1401604351 1.117020e-01
    < 10 -0.0003905888 -6.478792e-06 2.383823e-05 -0.0000482586 7.916895e-05
    ---
    > 1 0.0322048225 3.571344e-02 1.392003e-01 -4.832578e-02 -0.0069451741
    > 5 -0.0152675121 9.488304e-02 3.869382e-01 -2.475329e-01 -0.0303160211
    > 10 -0.0002829929 -3.618484e-05 -1.249156e-08 5.264608e-05 -0.0001200648
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0041122928 -0.0354418753 -9.458599e-02 4.450320e-03 -1.922230e-02
    > 5 0.0085990684 -0.0829247410 -4.456234e-01 1.176118e-01 -5.479074e-02
    > 10 -0.0006486254 0.0001229433 -1.047238e-05 3.780718e-05 -5.147695e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -2.703901e-02 3.927633e-02 1.139667e-01 -4.080492e-03 5.512820e-02
    > 5 2.323057e-03 1.161851e-01 3.226823e-01 -1.400659e-01 1.125329e-01
    > 10 -6.986208e-05 -9.786501e-05 2.976308e-05 8.433088e-06 9.974756e-05
    2787,2797c2787,2797
    < 1 0.06792361 -0.004819824 -2.809736e-02 0.07341573 -0.0098382071 -0.047802945
    < 5 -0.01134441 -0.081276818 -2.915865e-01 0.31593960 0.0186970969 -0.001608821
    < 10 0.07242435 0.001038757 -3.560971e-05 0.02670793 0.0003765304 -0.167973177
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 -0.010551922 0.0064999721 -0.06991615 0.0131153225 -0.0143803096
    < 5 0.028675800 0.1903383072 -0.20152428 0.0284245931 -0.0002540874
    < 10 -0.002663973 0.0002304659 -0.01833988 0.0002982012 -0.0783277478
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.012912150 -0.0042006371 0.07322962 -0.0041671168
    < 5 -0.025292188 -0.1401604351 0.35751003 -0.0617736914
    < 10 0.003089557 -0.0000482586 0.03371628 -0.0001528257
    ---
    > 1 0.06786429 -0.004860131 -2.800403e-02 0.07324458 -0.0096895083 -0.048281415
    > 5 -0.01136241 -0.081270807 -2.915511e-01 0.31592859 0.0187162157 -0.001801476
    > 10 0.07240787 0.001038626 -3.557477e-05 0.02670972 0.0003747931 -0.167939247
    > d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3
    > 1 -0.01052557 0.0064888269 -0.06986015 0.0131754912 -0.0147234227 0.012923231
    > 5 0.02867430 0.1901035007 -0.20160233 0.0280992358 0.0001082379 -0.025223562
    > 10 -0.00266390 0.0001702743 -0.01834393 0.0002026528 -0.0782974576 0.003088707
    > d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -4.080492e-03 0.07334693 -4.272089e-03
    > 5 -1.400659e-01 0.35753616 -6.182832e-02
    > 10 8.433088e-06 0.03371085 -1.482161e-05
    2802,2812c2802,2812
    < 1 0.0401556304 -1.806442e-02 3.706557e-02 -0.031396056 -0.166599823
    < 5 0.0323869291 -9.622020e-02 -1.086438e-01 0.095486543 -0.073994110
    < 10 -0.0001418207 -2.459353e-05 8.962457e-06 -0.000237938 -0.001974683
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0871454938 3.389792e-02 -0.041743607 0.0060934817 -0.0264015057
    < 5 -0.0061317528 1.345363e-01 -0.057358350 0.0157244908 -0.5094277016
    < 10 0.0005313087 8.235931e-05 -0.000061862 0.0002269682 -0.0007914188
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.1122989715 -4.726085e-02 5.516461e-02 -0.0041671168 0.472268387
    < 5 -0.0088906166 -3.692760e-01 1.117020e-01 -0.0617736914 1.018360016
    < 10 0.0001573227 -6.937769e-05 7.916895e-05 -0.0001528257 0.001316599
    ---
    > 1 0.040164460 -1.803348e-02 3.700592e-02 -3.130000e-02 -0.166602820
    > 5 0.032338461 -9.614347e-02 -1.088114e-01 9.559923e-02 -0.073823069
    > 10 -0.000211752 -2.480987e-05 9.322443e-06 -7.857276e-05 -0.001998159
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0871429010 3.427148e-02 -4.168636e-02 5.933270e-03 -0.0263270099
    > 5 -0.0062843942 1.343494e-01 -5.725428e-02 1.566837e-02 -0.5078625252
    > 10 0.0001700394 8.272483e-05 -6.314344e-05 4.358289e-05 -0.0008001017
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.1122852346 -4.737794e-02 5.512820e-02 -4.272089e-03 0.472211684
    > 5 -0.0084072591 -3.685764e-01 1.125329e-01 -6.182832e-02 1.015712071
    > 10 0.0001302206 -7.157427e-05 9.974756e-05 -1.482161e-05 0.001337384
    2816,2862c2816,2862
    < d_y1_d_x1 0.3029542700 -0.017218365 -0.006872414 -0.0007987825 -0.016039859
    < d_y2_d_x1 -0.0172183651 0.195025575 0.062271955 0.0401397381 -0.010996137
    < d_y3_d_x1 -0.0068724139 0.062271955 0.345119008 -0.2529480003 0.027231435
    < d_y4_d_x1 -0.0007987825 0.040139738 -0.252948000 0.7042549523 -0.039872968
    < d_y5_d_x1 -0.0160398589 -0.010996137 0.027231435 -0.0398729678 0.126154409
    < d_y1_d_x2 -0.1384307932 0.038966327 0.015269819 0.0259167945 -0.038941132
    < d_y2_d_x2 -0.0530982598 -0.094357955 -0.031154638 -0.0183218300 -0.005643225
    < d_y3_d_x2 -0.0172806813 -0.029428580 -0.138321057 0.0556051159 0.002550780
    < d_y4_d_x2 -0.0771437445 -0.006244317 0.064335535 -0.2156621735 0.018374963
    < d_y5_d_x2 0.0177731816 0.016577145 -0.029806709 0.0309632779 0.016851147
    < d_y1_d_x3 0.0449996189 -0.046823676 -0.019673797 -0.0236352825 0.053106108
    < d_y2_d_x3 0.0639134734 0.082729383 0.027016375 0.0117273072 0.010080087
    < d_y3_d_x3 0.0321848342 0.035716241 0.139193756 -0.0483137337 -0.006942282
    < d_y4_d_x3 0.0679236131 -0.004819824 -0.028097357 0.0734157296 -0.009838207
    < d_y5_d_x3 0.0401556304 -0.018064416 0.037065575 -0.0313960558 -0.166599823
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < d_y1_d_x1 -0.138430793 -0.053098260 -0.017280681 -0.077143745 0.01777318
    < d_y2_d_x1 0.038966327 -0.094357955 -0.029428580 -0.006244317 0.01657715
    < d_y3_d_x1 0.015269819 -0.031154638 -0.138321057 0.064335535 -0.02980671
    < d_y4_d_x1 0.025916794 -0.018321830 0.055605116 -0.215662174 0.03096328
    < d_y5_d_x1 -0.038941132 -0.005643225 0.002550780 0.018374963 0.01685115
    < d_y1_d_x2 0.291061389 0.005663607 -0.014492141 0.005147258 0.01473299
    < d_y2_d_x2 0.005663607 0.111051278 0.027654903 0.019680589 -0.02611701
    < d_y3_d_x2 -0.014492141 0.027654903 0.093836547 -0.009812979 0.02219033
    < d_y4_d_x2 0.005147258 0.019680589 -0.009812979 0.138703774 -0.02186722
    < d_y5_d_x2 0.014732987 -0.026117014 0.022190330 -0.021867224 0.10006722
    < d_y1_d_x3 -0.056414331 0.007228109 0.015680400 0.001237701 -0.02118765
    < d_y2_d_x3 -0.049829513 -0.114373990 -0.024652957 -0.016854575 0.02391456
    < d_y3_d_x3 0.004111978 -0.035461143 -0.094586074 0.004530756 -0.01924975
    < d_y4_d_x3 -0.047802945 -0.010551922 0.006499972 -0.069916148 0.01311532
    < d_y5_d_x3 0.087145494 0.033897924 -0.041743607 0.006093482 -0.02640151
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < d_y1_d_x1 0.044999619 0.063913473 0.032184834 0.067923613 0.040155630
    < d_y2_d_x1 -0.046823676 0.082729383 0.035716241 -0.004819824 -0.018064416
    < d_y3_d_x1 -0.019673797 0.027016375 0.139193756 -0.028097357 0.037065575
    < d_y4_d_x1 -0.023635283 0.011727307 -0.048313734 0.073415730 -0.031396056
    < d_y5_d_x1 0.053106108 0.010080087 -0.006942282 -0.009838207 -0.166599823
    < d_y1_d_x2 -0.056414331 -0.049829513 0.004111978 -0.047802945 0.087145494
    < d_y2_d_x2 0.007228109 -0.114373990 -0.035461143 -0.010551922 0.033897924
    < d_y3_d_x2 0.015680400 -0.024652957 -0.094586074 0.006499972 -0.041743607
    < d_y4_d_x2 0.001237701 -0.016854575 0.004530756 -0.069916148 0.006093482
    < d_y5_d_x2 -0.021187647 0.023914559 -0.019249746 0.013115323 -0.026401506
    < d_y1_d_x3 0.260361058 -0.003501848 -0.026942387 -0.014380310 -0.112298971
    < d_y2_d_x3 -0.003501848 0.146750468 0.039168067 0.012912150 -0.047260849
    < d_y3_d_x3 -0.026942387 0.039168067 0.113962664 -0.004200637 0.055164609
    < d_y4_d_x3 -0.014380310 0.012912150 -0.004200637 0.073229621 -0.004167117
    < d_y5_d_x3 -0.112298971 -0.047260849 0.055164609 -0.004167117 0.472268387
    ---
    > d_y1_d_x1 0.3029542699 -0.017218365 -0.006872414 -0.0007987828 -0.016039859
    > d_y2_d_x1 -0.0172183652 0.195025575 0.062271955 0.0401397379 -0.010996137
    > d_y3_d_x1 -0.0068724138 0.062271955 0.345119008 -0.2529480002 0.027231435
    > d_y4_d_x1 -0.0007987828 0.040139738 -0.252948000 0.7042549520 -0.039872968
    > d_y5_d_x1 -0.0160398590 -0.010996137 0.027231435 -0.0398729677 0.126154409
    > d_y1_d_x2 -0.1386113747 0.038857208 0.015328043 0.0258343328 -0.038997769
    > d_y2_d_x2 -0.0535285664 -0.094400097 -0.030915675 -0.0185544571 -0.005743523
    > d_y3_d_x2 -0.0172877430 -0.029423192 -0.138318077 0.0556003204 0.002547593
    > d_y4_d_x2 -0.0774637790 -0.006354309 0.064368492 -0.2156793527 0.018379626
    > d_y5_d_x2 0.0177558959 0.016533633 -0.029768864 0.0309267772 0.016845827
    > d_y1_d_x3 0.0449387301 -0.046887462 -0.019807287 -0.0235721031 0.053208623
    > d_y2_d_x3 0.0637250250 0.082624678 0.027012089 0.0116525757 0.010188850
    > d_y3_d_x3 0.0322048225 0.035713438 0.139200296 -0.0483257794 -0.006945174
    > d_y4_d_x3 0.0678642931 -0.004860131 -0.028004035 0.0732445811 -0.009689508
    > d_y5_d_x3 0.0401644605 -0.018033481 0.037005924 -0.0312999965 -0.166602820
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > d_y1_d_x1 -0.138611375 -0.053528566 -0.017287743 -0.077463779 0.01775590
    > d_y2_d_x1 0.038857208 -0.094400097 -0.029423192 -0.006354309 0.01653363
    > d_y3_d_x1 0.015328043 -0.030915675 -0.138318077 0.064368492 -0.02976886
    > d_y4_d_x1 0.025834333 -0.018554457 0.055600320 -0.215679353 0.03092678
    > d_y5_d_x1 -0.038997769 -0.005743523 0.002547593 0.018379626 0.01684583
    > d_y1_d_x2 0.291422688 0.006458320 -0.014486182 0.005676343 0.01472690
    > d_y2_d_x2 0.006458320 0.110997148 0.027563642 0.019849367 -0.02588773
    > d_y3_d_x2 -0.014486182 0.027563642 0.093834214 -0.009790005 0.02215898
    > d_y4_d_x2 0.005676343 0.019849367 -0.009790005 0.138637769 -0.02192568
    > d_y5_d_x2 0.014726896 -0.025887734 0.022158979 -0.021925681 0.09998520
    > d_y1_d_x3 -0.056390926 0.007305875 0.015776669 0.001348371 -0.02115104
    > d_y2_d_x3 -0.049712244 -0.114276988 -0.024659675 -0.017028929 0.02382270
    > d_y3_d_x3 0.004112293 -0.035441875 -0.094585986 0.004450320 -0.01922230
    > d_y4_d_x3 -0.048281415 -0.010525566 0.006488827 -0.069860149 0.01317549
    > d_y5_d_x3 0.087142901 0.034271480 -0.041686361 0.005933270 -0.02632701
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > d_y1_d_x1 0.044938730 0.063725025 0.032204823 0.067864293 0.040164460
    > d_y2_d_x1 -0.046887462 0.082624678 0.035713438 -0.004860131 -0.018033481
    > d_y3_d_x1 -0.019807287 0.027012089 0.139200296 -0.028004035 0.037005924
    > d_y4_d_x1 -0.023572103 0.011652576 -0.048325779 0.073244581 -0.031299996
    > d_y5_d_x1 0.053208623 0.010188850 -0.006945174 -0.009689508 -0.166602820
    > d_y1_d_x2 -0.056390926 -0.049712244 0.004112293 -0.048281415 0.087142901
    > d_y2_d_x2 0.007305875 -0.114276988 -0.035441875 -0.010525566 0.034271480
    > d_y3_d_x2 0.015776669 -0.024659675 -0.094585986 0.006488827 -0.041686361
    > d_y4_d_x2 0.001348371 -0.017028929 0.004450320 -0.069860149 0.005933270
    > d_y5_d_x2 -0.021151043 0.023822695 -0.019222304 0.013175491 -0.026327010
    > d_y1_d_x3 0.260104019 -0.003631698 -0.027039012 -0.014723423 -0.112285235
    > d_y2_d_x3 -0.003631698 0.146460422 0.039276335 0.012923231 -0.047377939
    > d_y3_d_x3 -0.027039012 0.039276335 0.113966702 -0.004080492 0.055128200
    > d_y4_d_x3 -0.014723423 0.012923231 -0.004080492 0.073346928 -0.004272089
    > d_y5_d_x3 -0.112285235 -0.047377939 0.055128200 -0.004272089 0.472211684
    2867,2869c2867,2869
    < 1 -0.23164907 -0.033140140 -4.011498e-03 -0.06214431 0.0018383031 -0.01681988
    < 5 -0.07060852 0.062713027 2.905693e-02 0.01693774 -0.0089005304 0.01625367
    < 10 0.04304699 0.002235532 6.043832e-06 0.01477834 0.0003810584 -0.36425307
    ---
    > 1 -0.23164907 -0.033140140 -4.011498e-03 -0.06214431 0.0018383031 -0.01669775
    > 5 -0.07060852 0.062713027 2.905693e-02 0.01693774 -0.0089005310 0.01616485
    > 10 0.04304699 0.002235532 6.044498e-06 0.01477834 0.0003810586 -0.36409209
    2871,2873c2871,2873
    < 1 0.055411231 0.0271734024 0.063060668 -8.634760e-03 0.06260548
    < 5 -0.031977199 -0.0150990331 -0.001844358 2.953193e-03 0.01061373
    < 10 -0.006878482 -0.0004218847 0.001226796 -8.881784e-05 -0.30967728
    ---
    > 1 0.055933036 0.0271886680 0.063182792 -8.484879e-03 0.06238343
    > 5 -0.031905034 -0.0150213175 -0.001852685 2.908784e-03 0.01036948
    > 10 -0.006879653 0.0002442491 0.001245531 3.330669e-05 -0.30969671
    2875,2877c2875,2877
    < 1 -0.057975846 -0.043331658 -0.037148062 0.007596701
    < 5 -0.001310063 -0.004540812 -0.000420497 0.002320366
    < 10 0.006962703 0.001110223 0.039365733 0.001243450
    ---
    > 1 -0.058664185 -0.043379883 -0.0374811293 0.007821521
    > 5 -0.001396105 -0.004829470 -0.0004107825 0.001487699
    > 10 0.006962183 0.001332268 0.0393553246 0.000721645
    2883,2884c2883,2884
    < 5 0.003769362 -9.991672e-03 -3.235336e-03 -0.000354810 0.0006657360 0.01639799
    < 10 0.373667957 -2.496226e-05 -3.619705e-05 -0.001967969 0.0004485678 0.00000000
    ---
    > 5 0.003769362 -9.991672e-03 -3.235336e-03 -0.000354810 0.0006657360 0.01616485
    > 10 0.373667957 -2.496226e-05 -3.619638e-05 -0.001967969 0.0004485681 0.00000000
    2886,2888c2886,2888
    < 1 0.0000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
    < 5 -0.0319772 -0.01481038 -0.001844358 0.002953193 0.01052491 -0.001310063
    < 10 0.0000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
    ---
    > 1 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
    > 5 -0.03190503 -0.01502132 -0.001852685 0.002908784 0.01036948 -0.001396105
    > 10 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
    2890,2892c2890,2892
    < 1 0.000000000 0.000000000 0.000000000
    < 5 -0.004718448 -0.000420497 0.002320366
    < 10 0.000000000 0.000000000 0.000000000
    ---
    > 1 0.00000000 0.0000000000 0.000000000
    > 5 -0.00482947 -0.0004107825 0.001487699
    > 10 0.00000000 0.0000000000 0.000000000
    2896,2907c2896,2907
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
    < 1 -0.28355741 -0.04056624 -4.910402e-03 -0.076069725 0.0022502335 0.41255701
    < 5 0.03924712 -0.03485848 -1.615104e-02 -0.009414693 0.0049472811 -0.00315843
    < 10 -0.02035225 -0.00105694 -2.857936e-06 -0.006987072 -0.0001801613 0.50266390
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 0.0405459325 0.019128767 0.0374292682 -0.0067453128 0.076283424
    < 5 0.0079356537 0.007156352 0.0006957386 -0.0012993587 -0.008415491
    < 10 0.0009902693 -0.001285691 -0.0173916263 -0.0004653979 0.146221923
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0726418925 -5.309746e-02 -0.046485038 0.0097921671
    < 5 0.0005107026 -4.440892e-05 0.000119349 -0.0009769963
    < 10 -0.0032917245 -5.773160e-04 -0.018567092 0.0015210055
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
    > 1 -0.28355741 -0.04056624 -4.910402e-03 -0.076069725 0.0022502335
    > 5 0.03924712 -0.03485848 -1.615104e-02 -0.009414693 0.0049472810
    > 10 -0.02035225 -0.00105694 -2.857936e-06 -0.006987072 -0.0001801612
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.413145431 0.0420669382 0.019133625 0.0386727179 -0.0068091506
    > 5 -0.003524803 0.0079217759 0.007067534 0.0007193308 -0.0008108608
    > 10 0.502677777 0.0009904211 -0.001063646 -0.0173791363 0.0003450649
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.076294526 -0.0719757587 -0.0531050898 -0.047284399 0.0097810648
    > 5 -0.009492407 0.0004496403 -0.0007549517 0.000106859 -0.0006439294
    > 10 0.146282986 -0.0032909873 -0.0005995204 -0.018578195 0.0007660539
    2912,2914c2912,2914
    < 1 0.24736037 0.035387828 4.283573e-03 0.06635917 -0.0019629838 0.01827427
    < 5 0.04413310 -0.039198105 -1.816172e-02 -0.01058675 0.0055631810 -0.01070255
    < 10 0.05397296 0.002802943 7.579715e-06 0.01852930 0.0004777779 -0.45665693
    ---
    > 1 0.24736037 0.035387828 4.283573e-03 0.06635917 -0.0019629838 0.01807443
    > 5 0.04413310 -0.039198105 -1.816172e-02 -0.01058675 0.0055631807 -0.01156852
    > 10 0.05397296 0.002802943 7.579715e-06 0.01852930 0.0004777782 -0.45662640
    2916,2918c2916,2918
    < 1 -0.058542060 -0.0290299035 -0.066491257 0.0089900309 0.366815824
    < 5 0.019795277 0.0089261931 0.001196265 -0.0011213253 -0.002381273
    < 10 -0.008626736 0.0008881784 0.001623701 0.0003330669 -0.057660110
    ---
    > 1 -0.058630878 -0.029030597 -0.066402439 0.0090233376 0.36647166
    > 5 0.019698132 0.008215650 0.001280920 -0.0009103829 -0.00261442
    > 10 -0.008624785 0.000865974 0.001632028 0.0006106227 -0.05780444
    2920,2922c2920,2922
    < 1 0.034195457 3.220130e-02 0.0030567629 -0.0049300982
    < 5 -0.009075738 5.092432e-05 -0.0001966032 -0.0002002379
    < 10 0.006471605 5.350752e-04 0.0326808199 0.0011333233
    ---
    > 1 0.033984514 0.0322134397 0.0019354377 -4.852382e-03
    > 5 -0.009039656 -0.0004597785 -0.0002132566 7.731771e-05
    > 10 0.006469654 0.0005128707 0.0326641666 1.277652e-03
    2927,2937c2927,2937
    < 1 0.005905710 0.151126660 0.0381485427 0.0133838793 -0.008059541
    < 5 0.036254647 -0.127722908 -0.0631217321 0.0025958805 -0.022629047
    < 10 0.008505339 -0.005666701 -0.0002005769 -0.0005325707 -0.000053893
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.074784623 -0.15326629 -0.0261499156 -1.020295e-02 0.0297067926
    < 5 -0.008393286 0.22601643 0.0761057883 3.747003e-05 -0.0639155395
    < 10 -0.010144663 0.02070241 -0.0003330669 1.199735e-03 -0.0004662937
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.085043084 0.12609913 0.027963395 0.005651035 -0.029717895
    < 5 -0.008160139 -0.39315773 -0.042110759 -0.003874678 0.096589403
    < 10 0.026861846 -0.01589642 0.000577316 -0.001934564 0.001398881
    ---
    > 1 0.005905710 0.151126660 0.0381485427 0.0133838793 -8.059541e-03
    > 5 0.036254647 -0.127722908 -0.0631217321 0.0025958805 -2.262905e-02
    > 10 0.008505339 -0.005666701 -0.0002005764 -0.0005325707 -5.389278e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.074540374 -0.15319968 -0.026152344 -9.847678e-03 0.0295180547
    > 5 -0.008504308 0.22603031 0.076116891 -3.053113e-05 -0.0640598685
    > 10 -0.010219603 0.02070232 -0.000577316 1.198347e-03 -0.0003219647
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.084987573 0.12613244 0.027959232 0.005506706 -0.029412583
    > 5 -0.008093526 -0.39311054 -0.042077453 -0.003926026 0.096234132
    > 10 0.026917357 -0.01589779 0.001620926 -0.001922074 0.001498801
    2942c2942
    < 1 -0.0538017414 2.238657e-01 4.695843e-02 1.641607e-02 -1.900505e-02
    ---
    > 1 -0.0538017415 2.238657e-01 4.695843e-02 1.641607e-02 -1.900505e-02
    2944c2944
    < 10 -0.0008749483 4.567328e-05 7.288614e-06 4.313022e-06 4.380274e-06
    ---
    > 10 -0.0008749482 4.567328e-05 7.288836e-06 4.313022e-06 4.380274e-06
    2946,2948c2946,2948
    < 1 0.000000000 0.0000000 0.00000000 0.00000e+00 0.00000000 0.000000000
    < 5 -0.008260059 0.2259998 0.07610579 4.57967e-05 -0.06378231 -0.008426593
    < 10 0.000000000 0.0000000 0.00000000 0.00000e+00 0.00000000 0.000000000
    ---
    > 1 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
    > 5 -0.008504308 0.225997 0.07611689 -3.053113e-05 -0.06405987 -0.008093526
    > 10 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
    2951c2951
    < 5 -0.3931244 -0.04211076 -0.003891332 0.09632295
    ---
    > 5 -0.3930439 -0.04207745 -0.003926026 0.09623413
    2959c2959
    < 10 -0.004021252 0.002679168 9.483125e-05 0.0002517949 2.548017e-05
    ---
    > 10 -0.004021252 0.002679168 9.483148e-05 0.0002517949 2.548028e-05
    2961,2967c2961,2967
    < 1 0.031130996 -0.115144014 -0.0232596024 -9.757575e-03 0.0252061238
    < 5 0.004030881 0.099438679 -0.0079143855 1.071928e-02 -0.0581350679
    < 10 -0.004542490 -0.004073743 -0.0002584277 -3.210553e-05 0.0002581133
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.104072306 0.15365487 0.0342847278 0.0067945649 -0.0360905750
    < 5 0.002653433 0.21826152 0.0220379270 0.0021954660 -0.0543010081
    < 10 -0.012417845 0.00751441 0.0004662937 0.0009929557 0.0004884981
    ---
    > 1 0.031253120 -0.11525504 -0.023259602 -9.724268e-03 0.0251783683
    > 5 0.003775530 0.09951639 -0.008147532 1.068320e-02 -0.0585680546
    > 10 -0.004489755 -0.00407461 -0.001235424 -8.900447e-05 -0.0005967585
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.104294351 0.153832502 0.0343010342 0.0067168493 -0.0360822483
    > 5 0.002808864 0.218255969 0.0219380070 0.0022315483 -0.0540567591
    > 10 -0.012467805 0.007513196 0.0007993606 0.0009950374 0.0005995204
    2972,2982c2972,2982
    < 1 -0.006306257 -0.161376630 -0.0407359182 -0.0142916237 8.606169e-03
    < 5 -0.022660579 0.079831833 0.0394535604 -0.0016225272 1.414404e-02
    < 10 0.010664121 -0.007104995 -0.0002514871 -0.0006677451 -6.757239e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.07819301 0.1656120 0.0279845591 0.0127564626 -0.0318939319
    < 5 0.00617284 -0.1410705 -0.0466293670 -0.0000194289 0.0385025345
    < 10 -0.01288969 0.0259553 0.0005329071 0.0015071278 0.0006661338
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0297765240 -0.06370738 -2.103083e-02 -0.005083536 0.020848498
    < 5 0.0005780873 0.47021709 5.794404e-02 0.012966099 -0.156534134
    < 10 0.0243177574 -0.01421331 3.023004e-05 -0.001966669 -0.000585656
    ---
    > 1 -0.006306257 -0.161376630 -0.0407359181 -0.0142916236 0.0086061686
    > 5 -0.022660579 0.079831833 0.0394535604 -0.0016225270 0.0141440424
    > 10 0.010664121 -0.007104995 -0.0002514871 -0.0006677451 -0.0000675725
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.078226314 0.16501245 0.0279751916 1.277867e-02 -0.0320299343
    > 5 0.005151435 -0.14119261 -0.0477062834 -7.632783e-05 0.0385691479
    > 10 -0.012878587 0.02595552 0.0006217249 1.489781e-03 0.0003663736
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.030020773 -0.06293022 -0.0210117477 -0.004872594 2.082074e-02
    > 5 0.001410755 0.47026427 0.0583437247 0.012938343 -1.559568e-01
    > 10 0.024292777 -0.01421424 -0.0003916547 -0.001944465 -3.054451e-05
    2989c2989
    < 10 6.477041e-07 -2.319379e-06 -8.134382e-06 0.003468366 7.279732e-07
    ---
    > 10 6.477041e-07 -2.319380e-06 -8.134604e-06 0.003468366 7.278622e-07
    2991,2997c2991,2997
    < 1 0.0269895217 -3.236300e-02 -0.1684281187 0.01090239 -0.029143354
    < 5 -0.0043964832 3.837763e-02 0.3610556298 -0.05945244 0.092237329
    < 10 -0.0002164935 2.409097e-05 0.0005107026 -0.01383338 0.000144329
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0280664381 3.068656e-02 0.166020322 -0.007449596 0.0321465077
    < 5 -0.0023092639 -3.815281e-02 -0.239119835 0.053998472 -0.0929589739
    < 10 0.0001221245 -1.916869e-05 -0.001021405 0.010388218 -0.0004996004
    ---
    > 1 2.711165e-02 -3.268497e-02 -0.1684166695 0.01051381 -2.902956e-02
    > 5 -4.696243e-03 3.850253e-02 0.3615441280 -0.05947881 9.168222e-02
    > 10 5.551115e-06 2.320193e-05 0.0007993606 -0.01380632 2.220446e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -2.812195e-02 3.155254e-02 0.1660383636 -0.007083223 3.205214e-02
    > 5 -1.731948e-03 -3.806677e-02 -0.2394751064 0.053967941 -9.214851e-02
    > 10 2.775558e-05 -1.884343e-05 -0.0001554312 0.010393769 2.220446e-05
    3003c3003
    < 5 -0.0005183526 1.163298e-02 0.1595899 -1.645152e-02 0.03637096 -0.004396483
    ---
    > 5 -0.0005183526 1.163298e-02 0.1595899 -1.645152e-02 0.03637096 -0.004696243
    3007c3007
    < 5 0.03837763 0.3610556 -0.05948853 0.09194867 -0.002309264 -0.03815281
    ---
    > 5 0.03850253 0.3615441 -0.05949685 0.09197088 -0.001731948 -0.03806677
    3011c3011
    < 5 -0.2391198 0.05402068 -0.09278134
    ---
    > 5 -0.2394751 0.05397904 -0.09232615
    3017c3017
    < 1 -2.594355e-03 4.897328e-02 2.785572e-01 -0.096053990 1.881991e-02
    ---
    > 1 -2.594354e-03 4.897328e-02 2.785572e-01 -0.096053990 1.881991e-02
    3019c3019
    < 10 -3.063105e-07 1.096582e-06 3.845368e-06 -0.001639813 -3.443912e-07
    ---
    > 10 -3.063105e-07 1.096582e-06 3.845368e-06 -0.001639813 -3.445022e-07
    3021,3027c3021,3027
    < 1 2.019636e-02 -2.884818e-02 -0.1353094178 0.008654803 -0.0255837109
    < 5 3.978051e-03 -9.497345e-03 -0.0401614032 0.016687246 -0.0141886005
    < 10 -8.974377e-06 -8.435904e-06 0.0006076546 0.003112992 0.0006654058
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -3.538281e-02 3.828049e-02 0.2032065488 -0.008126833 0.0389327459
    < 5 1.088019e-03 2.114420e-02 0.1335709321 -0.029871938 0.0507149878
    < 10 7.771561e-05 1.138412e-05 0.0002664535 -0.004914819 -0.0005329071
    ---
    > 1 2.055163e-02 -2.840409e-02 -1.352966e-01 0.008921257 -0.0256614265
    > 5 4.211197e-03 -9.464038e-03 -3.967290e-02 0.016694185 -0.0147770187
    > 10 1.600564e-05 -9.997156e-06 7.474765e-05 0.003065808 0.0004100547
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -3.563816e-02 3.824718e-02 0.2032009977 -0.007882583 0.039018788
    > 5 6.328271e-04 2.109146e-02 0.1328825938 -0.029887204 0.051059157
    > 10 -1.665335e-05 1.049508e-05 0.0008881784 -0.004873185 -0.000432987
    3034c3034
    < 10 8.121281e-07 -2.908073e-06 -1.019873e-05 0.004348689 9.127143e-07
    ---
    > 10 8.121281e-07 -2.908073e-06 -1.019873e-05 0.004348689 9.126033e-07
    3036,3042c3036,3042
    < 1 -2.918776e-02 3.486100e-02 0.1798377419 -0.009992007 0.0310557136
    < 5 2.864375e-03 -2.393363e-02 -0.2252198428 0.037329861 -0.0561217739
    < 10 -5.551115e-05 3.374037e-05 0.0004218847 -0.017320173 0.0006217249
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0176539476 -2.177606e-02 -0.1063752711 0.003558880 -0.0242486677
    < 5 0.0024459429 3.540007e-02 0.3101583698 -0.050302224 0.0936917708
    < 10 -0.0002032634 -2.153307e-05 0.0002301787 0.009588368 0.0009540639
    ---
    > 1 -2.897682e-02 3.426148e-02 0.1798498850 -0.01003642 0.0310251824
    > 5 3.885781e-03 -2.389200e-02 -0.2249089803 0.03728684 -0.0557220936
    > 10 4.718448e-05 3.209238e-05 -0.0001554312 -0.01734168 -0.0002442491
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.782048e-02 -2.105442e-02 -0.10637631 0.003880845 -0.024104339
    > 5 2.223898e-03 3.536954e-02 0.30994743 -0.050289734 0.093136659
    > 10 2.155687e-05 -2.034044e-05 0.00162906 0.009634165 0.001986571
    3047,3057c3047,3057
    < 1 0.002705363 0.006003173 -0.0928605226 0.3455462 -0.0147164138
    < 5 0.017815978 -0.009672862 0.1713656538 -0.2834611 0.0682036566
    < 10 -0.033477785 -0.001288154 -0.0000360838 -0.1063726 -0.0009760986
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0641264819 -0.008126833 0.0136203548 -0.1878719 0.0118738352
    < 5 -0.0009769963 0.007224776 -0.0552891066 0.1856029 -0.0435096403
    < 10 0.1671357497 0.004014345 0.0004440892 0.1293493 -0.0004884981
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0460964600 0.005984102 -0.0098782094 0.07669421 -0.009159340
    < 5 -0.0007993606 -0.008573697 0.0490274488 -0.26025432 0.048872018
    < 10 0.1248362524 -0.003886930 0.0009547918 -0.12748691 0.001598721
    ---
    > 1 0.002705363 0.006003173 -9.286052e-02 0.3455462 -0.0147164138
    > 5 0.017815978 -0.009672862 1.713657e-01 -0.2834611 0.0682036568
    > 10 -0.033477785 -0.001288154 -3.608358e-05 -0.1063726 -0.0009760988
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0640043574 -0.008382184 0.0136151507 -0.1880496 0.0119598775
    > 5 -0.0008548717 0.007191470 -0.0554001289 0.1857209 -0.0428101998
    > 10 0.1671329741 0.004014714 0.0004440892 0.1293451 -0.0001776357
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.046340709 0.005206946 -0.0099236591 0.07631673 -0.009148238
    > 5 -0.001021405 -0.008637535 0.0486277685 -0.26028207 0.048483439
    > 10 0.124786292 -0.003885520 0.0009547918 -0.12747858 0.000721645
    3063,3064c3063,3064
    < 5 -0.0002497855 5.357864e-03 -1.470440e-02 0.188768730 -0.015629906
    < 10 -0.1731406072 1.444835e-05 5.217604e-06 0.006389641 -0.001192027
    ---
    > 5 -0.0002497857 5.357864e-03 -1.470440e-02 0.188768730 -0.015629906
    > 10 -0.1731406073 1.444835e-05 5.217382e-06 0.006389641 -0.001192028
    3066,3068c3066,3068
    < 1 0.0000000000 0.000000000 0.00000000 0.000000 0.00000000 0.000000000
    < 5 -0.0007105427 0.007230327 -0.05551115 0.185596 -0.04308776 -0.001221245
    < 10 0.0000000000 0.000000000 0.00000000 0.000000 0.00000000 0.000000000
    ---
    > 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    > 5 -0.0005551115 0.007263634 -0.05528911 0.1856876 -0.04209966 -0.001521006
    > 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    3070,3072c3070,3072
    < 1 0.00000000 0.00000000 0.0000000 0.00000000
    < 5 -0.00853484 0.04855005 -0.2602016 0.04933831
    < 10 0.00000000 0.00000000 0.0000000 0.00000000
    ---
    > 1 0.000000000 0.00000000 0.0000000 0.00000000
    > 5 -0.008593126 0.04809486 -0.2602529 0.04946044
    > 10 0.000000000 0.00000000 0.0000000 0.00000000
    3077,3087c3077,3087
    < 1 0.003311586 0.0073483749 -1.136689e-01 0.42297682 -0.018014094
    < 5 -0.009902853 0.0053765747 -9.525208e-02 0.15755932 -0.037910399
    < 10 0.015828009 0.0006090281 1.706013e-05 0.05029204 0.000461492
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0041467218 -0.0083385271 0.0138374365 -0.12901364 0.0101039173
    < 5 -0.0008937155 0.0011445672 0.0148719433 0.08565677 0.0087505918
    < 10 -0.2185830255 -0.0005962911 0.0001523238 0.05163333 -0.0003491556
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0562216940 0.007704948 -0.0121461868 0.09335865 -0.0114269705
    < 5 0.0005551115 0.004762857 -0.0271782596 0.14467039 -0.0275335310
    < 10 -0.0590166804 0.001836812 -0.0001776357 0.06024140 -0.0001221245
    ---
    > 1 0.003311586 0.0073483750 -1.136689e-01 0.42297682 -0.0180140940
    > 5 -0.009902853 0.0053765748 -9.525208e-02 0.15755932 -0.0379103990
    > 10 0.015828009 0.0006090281 1.705991e-05 0.05029204 0.0004614916
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.004379869 -0.008116483 0.0138284160 -0.12890261 0.0101177950
    > 5 -0.001293396 0.001188976 0.0149052500 0.08560958 0.0088394096
    > 10 -0.218652414 -0.000596161 -0.0001363342 0.05164443 -0.0001160088
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.056399330 0.007904788 -0.0121579830 0.09340306 -1.136591e-02
    > 5 0.001154632 0.004671263 -0.0270894418 0.14459545 -2.736700e-02
    > 10 -0.058797411 0.001837246 0.0009992007 0.06023931 8.881784e-05
    3093c3093
    < 5 -0.011135686 0.006045919 -0.1071102630 0.1771743 -0.042629964
    ---
    > 5 -0.011135686 0.006045919 -0.1071102627 0.1771743 -0.042629964
    3095,3102c3095,3102
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0672906175 0.010325074 -1.453351e-02 0.2021827 -0.012856383
    < 5 -0.0001887379 -0.004513057 3.507195e-02 -0.1161168 0.026390001
    < 10 0.2095906781 0.005031045 2.220446e-05 0.1620877 -0.001820766
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0232757868 -0.003853226 0.0076951276 0.01990058 0.0055936362
    < 5 -0.0008271021 0.010523176 -0.0464789812 0.35147191 -0.0462498565
    < 10 0.0166093955 -0.003566506 0.0002855506 -0.04700860 0.0007055564
    ---
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    > 1 -6.725731e-02 0.010313972 -0.014536289 0.2018608 -0.012681522 -0.023686569
    > 5 1.110223e-05 -0.004496403 0.034849901 -0.1160974 0.026578739 -0.000394115
    > 10 2.096018e-01 0.005030503 -0.000288658 0.1620780 -0.001787459 0.016573313
    > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.004164089 0.0076781274 0.02007821 0.0054215516
    > 5 0.010531503 -0.0466233102 0.35146914 -0.0466051280
    > 10 -0.003566897 -0.0006026278 -0.04703635 0.0002947739
    3107,3117c3107,3117
    < 1 -0.0025039082 -9.035001e-03 1.449096e-02 -0.01287877 -0.10197888
    < 5 -0.0090320218 3.104443e-02 -9.301464e-02 0.06369820 0.01935906
    < 10 0.0003714917 5.685610e-06 -1.623146e-07 0.00009479 0.01178191
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0167088565 2.369216e-02 -0.0242812714 0.010191847 -0.195488070
    < 5 0.0007216450 -4.311551e-02 0.0799249555 -0.025203450 0.295297120
    < 10 0.0001748601 -3.816392e-05 0.0002664535 -0.000395517 0.008359979
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0201283434 -2.325917e-02 0.0262217331 -0.0080269125 0.28516078
    < 5 0.0024535929 8.526235e-02 -0.0516586773 0.0271449530 -0.43581805
    < 10 -0.0005495604 4.013716e-05 -0.0004218847 0.0005197232 -0.01334488
    ---
    > 1 -0.0025039077 -9.035000e-03 1.449096e-02 -1.287877e-02 -0.10197888
    > 5 -0.0090320215 3.104443e-02 -9.301464e-02 6.369820e-02 0.01935906
    > 10 0.0003714917 5.685610e-06 -1.620926e-07 9.479001e-05 0.01178191
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0169309011 2.344791e-02 -0.0242725978 0.0100697228 -0.195388150
    > 5 -0.0002109424 -4.310441e-02 0.0803024314 -0.0252478594 0.294675395
    > 10 0.0003136380 -3.807718e-05 0.0005329071 -0.0003788636 0.008359979
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0203170814 -2.279288e-02 0.026214794 -0.007338574 0.28507197
    > 5 0.0032085445 8.519019e-02 -0.051947335 0.027225444 -0.43464121
    > 10 -0.0006161738 3.892286e-05 -0.001287859 0.000514172 -0.01312284
    3122,3124c3122,3124
    < 1 0.0070058629 -1.687957e-02 2.207828e-02 -0.0163091128 0.19275787
    < 5 0.0006537719 -6.386076e-02 3.770130e-02 -0.0187116198 0.32365526
    < 10 0.0005010929 -1.346143e-07 2.908784e-08 -0.0000227013 0.01549796
    ---
    > 1 0.0070058628 -1.687957e-02 2.207828e-02 -0.0163091128 0.19275787
    > 5 0.0006537723 -6.386076e-02 3.770130e-02 -0.0187116198 0.32365526
    > 10 0.0005010927 -1.346143e-07 2.908784e-08 -0.0000227013 0.01549796
    3126,3128c3126,3128
    < 1 0.0000000000 0.00000000 0.00000000 0.00000000 0.000000 0.000000000
    < 5 0.0006106227 -0.04311551 0.08010259 -0.02536721 0.295286 0.003541611
    < 10 0.0000000000 0.00000000 0.00000000 0.00000000 0.000000 0.000000000
    ---
    > 1 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.000000000
    > 5 0.0005995204 -0.04312939 0.0801248 -0.02531725 0.2951195 0.002431388
    > 10 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.000000000
    3131c3131
    < 5 0.08534562 -0.05035972 0.02726153 -0.4354406
    ---
    > 5 0.08528456 -0.05111467 0.02727957 -0.4349854
    3137,3147c3137,3147
    < 1 -0.0030649879 -1.105958e-02 1.773812e-02 -1.576467e-02 -0.124830494
    < 5 0.0050203692 -1.725577e-02 5.170136e-02 -3.540608e-02 -0.010760563
    < 10 -0.0001756379 -2.688107e-06 7.727152e-08 -4.481589e-05 -0.005570384
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -1.142904e-02 2.075477e-02 -0.022102826 9.403834e-03 0.055361567
    < 5 1.175577e-03 -3.989382e-02 -0.007284938 -4.485500e-03 0.159786344
    < 10 -3.693235e-05 1.170048e-05 -0.001576326 -1.895901e-05 -0.001779551
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0264122058 -2.684519e-02 0.032070874 -0.0072053474 0.348635010
    < 5 -0.0035194070 -4.737044e-02 0.027855496 -0.0152253210 0.240973907
    < 10 0.0001637579 -1.860491e-05 0.001931788 -0.0001700029 0.007183143
    ---
    > 1 -0.0030649880 -1.105958e-02 1.773812e-02 -1.576467e-02 -0.124830494
    > 5 0.0050203691 -1.725577e-02 5.170136e-02 -3.540608e-02 -0.010760562
    > 10 -0.0001756381 -2.688107e-06 7.727152e-08 -4.481589e-05 -0.005570383
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -1.127360e-02 0.0210212246 -0.022101438 9.159585e-03 0.055231116
    > 5 8.203053e-04 -0.0398910407 -0.007196120 -4.564603e-03 0.160130513
    > 10 -2.583012e-05 0.0000116788 -0.001087827 -8.550660e-06 -0.001812858
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0260014232 -2.674527e-02 0.032096201 -0.0071498363 0.348793217
    > 5 -0.0038746784 -4.733991e-02 0.027711167 -0.0152863833 0.240929499
    > 10 0.0001609823 -1.840975e-05 0.001820766 -0.0001741662 0.007649437
    3152,3162c3152,3162
    < 1 0.0026737323 9.647788e-03 -1.547379e-02 0.0137522546 0.10889547
    < 5 0.0056453683 -1.940399e-02 5.813780e-02 -0.0398138756 -0.01210017
    < 10 0.0004657824 7.128703e-06 -2.025047e-07 0.0001188491 0.01477233
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0186184401 -2.532419e-02 0.0259053196 -0.0105471187 0.20854707
    < 5 -0.0003663736 2.702283e-02 -0.0504485342 0.0157776570 -0.18470780
    < 10 0.0001665335 -4.714111e-05 -0.0003552714 -0.0004933554 0.01073586
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0129833478 1.692450e-02 -0.020452410 0.003708390 -0.00951154
    < 5 -0.0007340067 -1.171237e-01 0.070153118 -0.035584234 0.59473842
    < 10 -0.0007308218 3.902238e-05 0.001665525 0.000532683 -0.01184927
    ---
    > 1 0.0026737325 9.647788e-03 -1.547379e-02 0.0137522548 0.10889547
    > 5 0.0056453686 -1.940399e-02 5.813780e-02 -0.0398138755 -0.01210017
    > 10 0.0004657821 7.128703e-06 -2.022826e-07 0.0001188491 0.01477233
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 1.829648e-02 -2.491340e-02 0.0259122585 -0.0109134923 0.20852209
    > 5 -1.021405e-03 2.699785e-02 -0.0506261699 0.0158664748 -0.18479662
    > 10 6.383782e-05 -4.690259e-05 -0.0003552714 -0.0004801715 0.01105782
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0123394185 1.751292e-02 -0.0204572674 0.0047520000 -0.009472682
    > 5 0.0005205454 -1.170710e-01 0.0715075897 -0.0356786032 0.594738418
    > 10 -0.0006725351 4.101731e-05 -0.0001552404 0.0004861924 -0.012437692
    3167,3169c3167,3169
    < 1 0.072752928 0.012780185 -6.363313e-03 -2.325631e-02 0.0086575822
    < 5 -0.200118912 -0.048724575 3.905902e-02 4.726706e-02 -0.0099666410
    < 10 0.008506281 0.009480499 7.370393e-05 -4.108085e-05 -0.0001720251
    ---
    > 1 0.072752928 0.012780185 -6.363313e-03 -2.325631e-02 0.0086575823
    > 5 -0.200118911 -0.048724575 3.905902e-02 4.726706e-02 -0.0099666410
    > 10 0.008506281 0.009480499 7.370371e-05 -4.108084e-05 -0.0001720248
    3171,3173c3171,3173
    < 1 -0.15468737 -0.16512347 -0.0042923998 -0.0032751579 0.0328875815 0.09531265
    < 5 0.05412337 0.00928424 -0.0334288153 -0.0068486883 0.0037525538 0.04554135
    < 10 -0.02144118 -0.02295412 -0.0003330669 0.0009992007 0.0004773959 0.02127742
    ---
    > 1 -0.15465407 -0.164868119 -0.004296910 -0.003541611 0.0327238237 0.09490186
    > 5 0.05395684 0.009295342 -0.033395509 -0.006848688 0.0041078252 0.04458656
    > 10 -0.02137179 -0.022954490 0.000288658 0.001050549 0.0009103829 0.02127742
    3175,3177c3175,3177
    < 1 0.28267388 0.0199874839 8.160139e-03 -0.0574179593
    < 5 0.00129341 -0.0109912079 -2.182976e-03 0.0001776357
    < 10 0.03040736 0.0009103829 5.412337e-05 0.0006550316
    ---
    > 1 0.282052159 0.0199791572 8.082424e-03 -5.731249e-02
    > 5 0.001226796 -0.0116018306 -2.083056e-03 4.440892e-04
    > 10 0.030407296 0.0004218847 4.163336e-06 2.220446e-05
    3182c3182
    < 1 -2.721458e-02 3.437053e-02 1.080548e-02 -6.350999e-03 -7.693303e-04
    ---
    > 1 -2.721458e-02 3.437053e-02 1.080548e-02 -6.351000e-03 -7.693303e-04
    3186,3192c3186,3192
    < 1 3.614886e-02 -3.759215e-02 -0.0409498824 0.0016542323 -0.0106858966
    < 5 1.912914e-02 -8.051892e-03 0.0168198788 -0.0023134272 0.0051625371
    < 10 8.326673e-05 -2.803747e-05 -0.0004884981 0.0001304512 -0.0006217249
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -4.974909e-02 5.653256e-02 0.1200872735 -3.308465e-03 2.298439e-02
    < 5 7.671641e-03 4.510281e-03 0.0081379348 -5.134781e-05 -2.220446e-05
    < 10 -8.326673e-06 2.946862e-05 0.0004884981 -4.274359e-04 7.549517e-04
    ---
    > 1 3.600453e-02 -3.775869e-02 -4.094156e-02 0.001287859 -1.059153e-02
    > 5 1.928457e-02 -8.062995e-03 1.680878e-02 -0.002467471 4.829470e-03
    > 10 3.885781e-05 -2.896988e-05 -2.220446e-05 0.000150574 8.881784e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -4.966028e-02 5.750955e-02 1.200623e-01 -0.0026201263 0.0228012054
    > 5 8.393286e-03 4.610201e-03 8.626433e-03 -0.0001151856 0.0001443290
    > 10 2.775558e-05 2.909999e-05 -2.220446e-05 -0.0004315992 -0.0002553513
    3197,3207c3197,3207
    < 1 0.18666014 -0.05398321 -0.0339310292 0.016983142 0.004752179 -1.816214e-01
    < 5 0.01839569 -0.04659071 0.0034018417 -0.009291787 0.011298146 3.330669e-05
    < 10 0.66937490 0.00645053 -0.0004796656 0.026582846 0.002513712 -9.275664e-01
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 -0.008182344 0.017634505 -1.634248e-01 0.010785817 0.0443867165
    < 5 0.002145506 0.002797762 -6.661338e-05 0.001609823 0.0006106227
    < 10 -0.015175079 0.002642331 2.819411e-02 0.002042810 -0.4504147055
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0124678046 -0.018666665 0.2229216811 -0.0176775261
    < 5 0.0003358425 0.001809664 0.0001262879 -0.0002109424
    < 10 0.0201975372 0.000288658 0.0917051157 -0.0003330669
    ---
    > 1 0.18666014 -0.05398321 -0.0339310293 0.016983142 0.004752178 -0.181510362
    > 5 0.01839569 -0.04659071 0.0034018418 -0.009291787 0.011298146 -0.000432987
    > 10 0.66937490 0.00645053 -0.0004796656 0.026582846 0.002513712 -0.927530275
    > d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3
    > 1 -0.008093526 0.017625831 -1.633138e-01 0.0107802656 0.044542148 0.012712054
    > 5 0.002040035 0.002908784 -8.881784e-05 0.0007438494 0.001099121 0.000432987
    > 10 -0.015175209 0.001798561 2.816983e-02 0.0013877788 -0.450395277 0.020197212
    > d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0186520938 0.2230771123 -0.0175442993
    > 5 0.0025424107 0.0001332268 0.0004884981
    > 10 -0.0006439294 0.0916815235 -0.0005107026
    3212,3222c3212,3222
    < 1 0.111753476 1.527047e-03 -0.0005739351 1.456956e-03 -0.19812832
    < 5 0.141830219 -6.928993e-02 -0.0757715437 -3.266092e-02 -0.02436118
    < 10 0.004603912 -2.557238e-06 0.0003578295 3.572719e-05 -0.02125865
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.17111867 -5.662137e-04 -0.0214588763 -0.0282551760 0.048641646
    < 5 -0.02519096 2.180200e-02 0.0272892819 0.0033917313 0.007049916
    < 10 0.00164313 1.179612e-05 -0.0008881784 -0.0001512679 -0.001054712
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.25417446 -1.232348e-02 0.0381750187 0.0224709140 0.505234743
    < 5 -0.02704503 9.489631e-03 0.0115352172 0.0014321877 0.004019007
    < 10 -0.00594802 -2.257309e-05 -0.0001332268 0.0003289036 0.007727152
    ---
    > 1 0.111753476 1.527046e-03 -0.0005739351 1.456956e-03 -0.19812832
    > 5 0.141830219 -6.928993e-02 -0.0757715440 -3.266092e-02 -0.02436118
    > 10 0.004603912 -2.557238e-06 0.0003578298 3.572718e-05 -0.02125865
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.171185288 2.331468e-04 -0.021444999 -0.0282662782 0.048672177
    > 5 -0.025546232 2.173817e-02 0.026478819 0.0032543412 0.006794565
    > 10 0.001654232 1.157928e-05 -0.001487699 -0.0002185752 -0.001876277
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.254141153 -1.308953e-02 0.0381764065 0.0217714735 0.505179232
    > 5 -0.026567637 9.645063e-03 0.0130118138 0.0014863111 0.003785861
    > 10 -0.005959122 -2.331035e-05 0.0003108624 0.0003934353 0.008826273
    3228,3229c3228,3229
    < 5 6.374342e-02 -1.848781e-01 -3.998136e-01 0.1949841442 -2.578791e-02
    < 10 -1.054712e-07 -4.180326e-06 5.335510e-06 -0.0002805039 -9.769963e-09
    ---
    > 5 6.374342e-02 -1.848781e-01 -3.998136e-01 0.1949841443 -2.578791e-02
    > 10 -1.054712e-07 -4.180325e-06 5.335732e-06 -0.0002805039 -9.325873e-09
    3231,3237c3231,3237
    < 1 -5.939693e-03 6.052936e-02 -0.0665668909 -0.004607426 -0.0113131726
    < 5 -1.976197e-02 1.099953e-01 0.4367617379 -0.076220974 0.0299094083
    < 10 5.551115e-06 4.527628e-05 0.0001998401 0.001240674 0.0001998401
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0023536728 -6.276091e-02 0.0671438599 0.002742251 0.012309598
    < 5 -0.0063282712 -1.036060e-01 -0.1511901715 0.056733784 -0.019173552
    < 10 -0.0001665335 -3.523657e-05 -0.0003774758 -0.001325329 -0.000677236
    ---
    > 1 -5.939693e-03 6.092904e-02 -6.657938e-02 -0.004185541 -1.109390e-02
    > 5 -1.919576e-02 1.100620e-01 4.370948e-01 -0.076259832 3.039791e-02
    > 10 -8.326673e-06 4.577502e-05 8.881784e-05 0.001260797 -1.110223e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 2.520206e-03 -6.278311e-02 0.067146289 0.002819966 0.012226331
    > 5 -7.005507e-03 -1.036837e-01 -0.151467727 0.056722682 -0.018451907
    > 10 -4.163336e-05 -3.580036e-05 -0.000865974 -0.001348227 -0.000288658
    3242,3252c3242,3252
    < 1 -0.07200764 0.15336728 -0.0170856543 0.1021475980 -1.523444e-02
    < 5 0.02094032 0.27824374 0.2698132208 -0.3692319396 1.351237e-02
    < 10 0.01288559 -0.01624475 -0.0003849974 0.0008654111 5.082834e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0611510842 -0.008071321 0.0004714978 -0.007849277 0.001076916
    < 5 -0.0008770762 -0.103386744 -0.0918043419 0.186367588 0.001076916
    < 10 -0.0070915496 0.051011951 -0.0006217249 -0.004054396 -0.002098322
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0558109114 0.003652634 -0.0003216177 0.003463896 -0.0001915135
    < 5 -0.0005329071 0.163899450 0.0688782364 -0.187809490 -0.0207611706
    < 10 0.0390326660 -0.042961685 0.0009769963 0.003502060 0.0016431301
    ---
    > 1 -0.07200764 0.15336728 -0.0170856543 0.1021475979 -1.523444e-02
    > 5 0.02094032 0.27824374 0.2698132210 -0.3692319396 1.351237e-02
    > 10 0.01288559 -0.01624475 -0.0003849974 0.0008654111 5.082867e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.060718097 -0.00821565 0.0004871104 -0.008115730 0.001054712
    > 5 -0.001321165 -0.10344225 -0.0920818977 0.186402282 0.001432188
    > 10 -0.007135958 0.05101345 -0.0008881784 -0.004032885 -0.001509903
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0554334356 0.003519407 -0.0003358425 0.003552714 -0.0002664535
    > 5 -0.0004440892 0.163910552 0.0689004409 -0.187833082 -0.0207389661
    > 10 0.0391991994 -0.042962313 0.0022870594 0.003456263 0.0010769163
    3257,3267c3257,3267
    < 1 -0.0015259605 -8.967699e-03 0.0005990771 -1.411246e-03 0.010539759
    < 5 -0.0860783138 2.303902e-01 0.0139491146 8.402178e-02 0.095145988
    < 10 0.0001942743 -3.972950e-09 -0.0005442937 4.714826e-06 -0.000240287
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0402011757 2.872147e-02 0.001432188 1.842970e-03 -0.0222183383
    < 5 0.0142330592 -8.487100e-02 0.009414691 -1.647155e-02 0.2202127369
    < 10 0.0001026956 9.757820e-07 0.001554312 4.718448e-05 0.0006328271
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.048594462 -3.110845e-02 -0.001836725 -2.575717e-03 0.0221656027
    < 5 0.016175949 1.800088e-01 -0.020006219 5.735690e-03 -0.2024491685
    < 10 -0.000238698 -5.204170e-07 -0.001199041 -7.979728e-05 -0.0001221245
    ---
    > 1 -0.0015259608 -8.967699e-03 0.0005990771 -1.411246e-03 0.0105397590
    > 5 -0.0860783139 2.303902e-01 0.0139491144 8.402178e-02 0.0951459878
    > 10 0.0001942745 -3.972950e-09 -0.0005442937 4.714840e-06 -0.0002402869
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0400235400 2.905454e-02 0.0014377388 2.298162e-03 -0.0222266650
    > 5 0.0146438417 -8.480994e-02 0.0102584607 -1.647987e-02 0.2202349414
    > 10 0.0001720846 2.168404e-07 0.0009992007 3.191891e-05 0.0004996004
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0487831997 -3.096412e-02 -0.0018301333 -2.131628e-03 0.022110092
    > 5 0.0162980740 1.800227e-01 -0.0207833750 5.773160e-03 -0.201794137
    > 10 -0.0003053113 -1.734723e-07 -0.0001554312 -7.285839e-05 0.000144329
    3273,3274c3273,3274
    < 5 5.630895e-03 1.895038e-02 1.195886e-01 -9.118602e-02 1.710484e-01
    < 10 4.985234e-06 -1.461771e-05 -5.701195e-05 -2.991087e-06 4.132028e-06
    ---
    > 5 5.630896e-03 1.895038e-02 1.195886e-01 -9.118602e-02 1.710484e-01
    > 10 4.985234e-06 -1.461771e-05 -5.701195e-05 -2.991087e-06 4.132361e-06
    3276,3282c3276,3282
    < 1 -2.542411e-03 -0.0136113343 -0.0000520417 -1.210143e-03 0.0001054712
    < 5 3.697043e-03 0.0012961854 0.0036304293 3.205769e-04 -0.0040634163
    < 10 9.436896e-05 0.0001514414 -0.0003330669 -6.938894e-06 -0.0009658940
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.003119727 0.0135669254 3.885781e-05 1.221245e-04 0.0001831868
    < 5 -0.001787459 -0.0006716849 -2.586820e-03 -2.886580e-04 0.0022204460
    < 10 0.000119349 -0.0001255289 -1.554312e-03 -7.632783e-05 -0.0003108624
    ---
    > 1 -0.0025313085 -0.0135891298 -6.036838e-05 -1.054712e-03 -5.273559e-05
    > 5 0.0035416114 0.0014016566 3.630429e-03 2.997602e-04 -4.318768e-03
    > 10 0.0001054712 0.0001524605 -1.332268e-04 -8.326673e-06 -1.076916e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0033195668 0.0133892897 3.400058e-05 6.661338e-05 0.0002053913
    > 5 -0.0017874591 -0.0006716849 -2.142730e-03 -2.386980e-04 0.0030420111
    > 10 0.0001360023 -0.0001247700 -1.265654e-03 -7.424616e-05 -0.0002775558
    3289c3289
    < 10 2.193801e-07 -3.040537e-09 3.419043e-06 2.991080e-06 3.415157e-06
    ---
    > 10 2.193801e-07 -3.040537e-09 3.419265e-06 2.991080e-06 3.415268e-06
    3291,3297c3291,3297
    < 1 -0.0002997602 1.640910e-02 0.040006887 6.217249e-03 0.0300343084
    < 5 0.0110911280 -7.275569e-02 -0.487210272 9.231088e-02 0.2441158387
    < 10 -0.0001776357 -1.886512e-06 -0.000577316 -6.869505e-05 -0.0005884182
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0011102230 -1.694200e-02 -0.0454140198 -5.928591e-03 -0.0334537953
    < 5 0.0031863401 6.774026e-02 0.1895372748 -7.505524e-02 -0.2241984376
    < 10 0.0001637579 1.301043e-06 0.0006883383 5.273559e-05 0.0008437695
    ---
    > 1 -0.0002220446 1.687539e-02 0.040010009 5.928591e-03 0.0300010017
    > 5 0.0117239551 -7.261414e-02 -0.486144458 9.233170e-02 0.2437272606
    > 10 -0.0001831868 -2.059984e-06 -0.001176836 -6.800116e-05 -0.0008992806
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.001154632 -1.687539e-02 -0.045395632 -5.417888e-03 -0.033401060
    > 5 0.003153033 6.788181e-02 0.189426252 -7.500528e-02 -0.223832064
    > 10 0.000194289 1.582935e-06 0.001354472 4.996004e-05 0.001387779
    3302,3312c3302,3312
    < 1 -0.0013927410 -7.163088e-03 0.0163621657 -0.0420913450 0.08778203
    < 5 -0.0301855867 -7.148279e-02 -0.3023276980 0.5864299889 0.24697414
    < 10 -0.0009567662 1.318907e-05 -0.0002274354 -0.0003593979 0.04868274
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0571209746 -0.0029420910 -0.005009534 0.086497476 -0.06692702
    < 5 0.0039745984 0.0250049981 0.080624396 -0.134774136 -0.16113777
    < 10 -0.0004413137 -0.0000803177 0.001332268 0.001625089 0.01776357
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0635713704 5.950795e-03 0.004306625 -0.06308287 0.04440615
    < 5 0.0004662937 -4.180822e-02 -0.060029759 0.14494239 0.22928326
    < 10 0.0016847634 8.573871e-05 -0.002442491 -0.00218020 -0.02948752
    ---
    > 1 -0.0013927409 -7.163088e-03 0.0163621658 -0.0420913450 0.08778203
    > 5 -0.0301855868 -7.148279e-02 -0.3023276978 0.5864299890 0.24697414
    > 10 -0.0009567664 1.318907e-05 -0.0002274356 -0.0003593979 0.04868274
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0574096326 -2.897682e-03 -0.005009881 0.086342045 -0.06700196
    > 5 0.0032196468 2.498002e-02 0.079902751 -0.134707523 -0.16082691
    > 10 -0.0003719247 -8.046949e-05 0.001176836 0.001607742 0.01766365
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0637490061 5.351275e-03 0.004302808 -0.063504757 0.04441447
    > 5 0.0003552714 -4.183875e-02 -0.060129679 0.144950718 0.22896129
    > 10 0.0015126789 8.463282e-05 -0.001754152 -0.002171874 -0.02933209
    3319c3319
    < d_y4_d_x1 -0.062144315 -0.100909653 -0.076069725 0.066359173 0.013383879
    ---
    > d_y4_d_x1 -0.062144315 -0.100909653 -0.076069725 0.066359172 0.013383879
    3321,3330c3321,3330
    < d_y1_d_x2 -0.016819879 0.000000000 0.412557013 0.018274271 0.074784623
    < d_y2_d_x2 0.055411231 0.000000000 0.040545933 -0.058542060 -0.153266289
    < d_y3_d_x2 0.027173402 0.000000000 0.019128767 -0.029029903 -0.026149916
    < d_y4_d_x2 0.063060668 0.000000000 0.037429268 -0.066491257 -0.010202950
    < d_y5_d_x2 -0.008634760 0.000000000 -0.006745313 0.008990031 0.029706793
    < d_y1_d_x3 0.062605476 0.000000000 0.076283424 0.366815824 -0.085043084
    < d_y2_d_x3 -0.057975846 0.000000000 -0.072641893 0.034195457 0.126099131
    < d_y3_d_x3 -0.043331658 0.000000000 -0.053097457 0.032201297 0.027963395
    < d_y4_d_x3 -0.037148062 0.000000000 -0.046485038 0.003056763 0.005651035
    < d_y5_d_x3 0.007596701 0.000000000 0.009792167 -0.004930098 -0.029717895
    ---
    > d_y1_d_x2 -0.016697754 0.000000000 0.413145431 0.018074431 0.074540374
    > d_y2_d_x2 0.055933036 0.000000000 0.042066938 -0.058630878 -0.153199675
    > d_y3_d_x2 0.027188668 0.000000000 0.019133625 -0.029030597 -0.026152344
    > d_y4_d_x2 0.063182792 0.000000000 0.038672718 -0.066402439 -0.009847678
    > d_y5_d_x2 -0.008484879 0.000000000 -0.006809151 0.009023338 0.029518055
    > d_y1_d_x3 0.062383432 0.000000000 0.076294526 0.366471655 -0.084987573
    > d_y2_d_x3 -0.058664185 0.000000000 -0.071975759 0.033984514 0.126132438
    > d_y3_d_x3 -0.043379883 0.000000000 -0.053105090 0.032213440 0.027959232
    > d_y4_d_x3 -0.037481129 0.000000000 -0.047284399 0.001935438 0.005506706
    > d_y5_d_x3 0.007821521 0.000000000 0.009781065 -0.004852382 -0.029412583
    3337,3346c3337,3346
    < d_y1_d_x2 0.00000000 0.031130996 -0.078193008 0.026989522 0.00000000
    < d_y2_d_x2 0.00000000 -0.115144014 0.165611969 -0.032363001 0.00000000
    < d_y3_d_x2 0.00000000 -0.023259602 0.027984559 -0.168428119 0.00000000
    < d_y4_d_x2 0.00000000 -0.009757575 0.012756463 0.010902390 0.00000000
    < d_y5_d_x2 0.00000000 0.025206124 -0.031893932 -0.029143354 0.00000000
    < d_y1_d_x3 0.00000000 -0.104072306 0.029776524 -0.028066438 0.00000000
    < d_y2_d_x3 0.00000000 0.153654867 -0.063707381 0.030686564 0.00000000
    < d_y3_d_x3 0.00000000 0.034284728 -0.021030830 0.166020322 0.00000000
    < d_y4_d_x3 0.00000000 0.006794565 -0.005083536 -0.007449596 0.00000000
    < d_y5_d_x3 0.00000000 -0.036090575 0.020848498 0.032146508 0.00000000
    ---
    > d_y1_d_x2 0.00000000 0.031253120 -0.078226314 0.027111646 0.00000000
    > d_y2_d_x2 0.00000000 -0.115255036 0.165012448 -0.032684966 0.00000000
    > d_y3_d_x2 0.00000000 -0.023259602 0.027975192 -0.168416669 0.00000000
    > d_y4_d_x2 0.00000000 -0.009724268 0.012778667 0.010513812 0.00000000
    > d_y5_d_x2 0.00000000 0.025178368 -0.032029934 -0.029029557 0.00000000
    > d_y1_d_x3 0.00000000 -0.104294351 0.030020773 -0.028121949 0.00000000
    > d_y2_d_x3 0.00000000 0.153832502 -0.062930225 0.031552538 0.00000000
    > d_y3_d_x3 0.00000000 0.034301034 -0.021011748 0.166038364 0.00000000
    > d_y4_d_x3 0.00000000 0.006716849 -0.004872594 -0.007083223 0.00000000
    > d_y5_d_x3 0.00000000 -0.036082248 0.020820743 0.032052139 0.00000000
    3348c3348
    < d_y1_d_x1 -0.002594355 0.002263176 0.002705363 -0.070486050 0.003311586
    ---
    > d_y1_d_x1 -0.002594354 0.002263176 0.002705363 -0.070486050 0.003311586
    3353,3362c3353,3362
    < d_y1_d_x2 0.020196358 -0.029187763 0.064126482 0.000000000 0.004146722
    < d_y2_d_x2 -0.028848181 0.034861003 -0.008126833 0.000000000 -0.008338527
    < d_y3_d_x2 -0.135309418 0.179837742 0.013620355 0.000000000 0.013837437
    < d_y4_d_x2 0.008654803 -0.009992007 -0.187871940 0.000000000 -0.129013637
    < d_y5_d_x2 -0.025583711 0.031055714 0.011873835 0.000000000 0.010103917
    < d_y1_d_x3 -0.035382808 0.017653948 -0.046096460 0.000000000 -0.056221694
    < d_y2_d_x3 0.038280490 -0.021776061 0.005984102 0.000000000 0.007704948
    < d_y3_d_x3 0.203206549 -0.106375271 -0.009878209 0.000000000 -0.012146187
    < d_y4_d_x3 -0.008126833 0.003558880 0.076694207 0.000000000 0.093358654
    < d_y5_d_x3 0.038932746 -0.024248668 -0.009159340 0.000000000 -0.011426970
    ---
    > d_y1_d_x2 0.020551630 -0.028976821 0.064004357 0.000000000 0.004379869
    > d_y2_d_x2 -0.028404092 0.034261483 -0.008382184 0.000000000 -0.008116483
    > d_y3_d_x2 -0.135296581 0.179849885 0.013615151 0.000000000 0.013828416
    > d_y4_d_x2 0.008921257 -0.010036416 -0.188049576 0.000000000 -0.128902615
    > d_y5_d_x2 -0.025661427 0.031025182 0.011959878 0.000000000 0.010117795
    > d_y1_d_x3 -0.035638159 0.017820481 -0.046340709 0.000000000 -0.056399330
    > d_y2_d_x3 0.038247183 -0.021054415 0.005206946 0.000000000 0.007904788
    > d_y3_d_x3 0.203200998 -0.106376312 -0.009923659 0.000000000 -0.012157983
    > d_y4_d_x3 -0.007882583 0.003880845 0.076316731 0.000000000 0.093403063
    > d_y5_d_x3 0.039018788 -0.024104339 -0.009148238 0.000000000 -0.011365908
    3365c3365
    < d_y2_d_x1 -0.006410331 -0.009035001 -0.016879575 -0.011059580 0.009647788
    ---
    > d_y2_d_x1 -0.006410331 -0.009035000 -0.016879575 -0.011059580 0.009647788
    3369,3378c3369,3378
    < d_y1_d_x2 -0.067290618 -0.016708857 0.000000000 -0.011429036 0.018618440
    < d_y2_d_x2 0.010325074 0.023692159 0.000000000 0.020754771 -0.025324187
    < d_y3_d_x2 -0.014533513 -0.024281271 0.000000000 -0.022102826 0.025905320
    < d_y4_d_x2 0.202182715 0.010191847 0.000000000 0.009403834 -0.010547119
    < d_y5_d_x2 -0.012856383 -0.195488070 0.000000000 0.055361567 0.208547069
    < d_y1_d_x3 -0.023275787 0.020128343 0.000000000 0.026412206 -0.012983348
    < d_y2_d_x3 -0.003853226 -0.023259172 0.000000000 -0.026845193 0.016924502
    < d_y3_d_x3 0.007695128 0.026221733 0.000000000 0.032070874 -0.020452410
    < d_y4_d_x3 0.019900578 -0.008026912 0.000000000 -0.007205347 0.003708390
    < d_y5_d_x3 0.005593636 0.285160784 0.000000000 0.348635010 -0.009511540
    ---
    > d_y1_d_x2 -0.067257311 -0.016930901 0.000000000 -0.011273604 0.018296475
    > d_y2_d_x2 0.010313972 0.023447910 0.000000000 0.021021225 -0.024913405
    > d_y3_d_x2 -0.014536289 -0.024272598 0.000000000 -0.022101438 0.025912258
    > d_y4_d_x2 0.201860750 0.010069723 0.000000000 0.009159585 -0.010913492
    > d_y5_d_x2 -0.012681522 -0.195388150 0.000000000 0.055231116 0.208522088
    > d_y1_d_x3 -0.023686569 0.020317081 0.000000000 0.026001423 -0.012339418
    > d_y2_d_x3 -0.004164089 -0.022792879 0.000000000 -0.026745273 0.017512920
    > d_y3_d_x3 0.007678127 0.026214794 0.000000000 0.032096201 -0.020457267
    > d_y4_d_x3 0.020078213 -0.007338574 0.000000000 -0.007149836 0.004752000
    > d_y5_d_x3 0.005421552 0.285071966 0.000000000 0.348793217 -0.009472682
    3380,3381c3380,3381
    < d_y1_d_x1 0.072752928 -0.0272145777 0.186660139 0.1117534759 0.011811865
    < d_y2_d_x1 0.012780185 0.0343705288 -0.053983212 0.0015270468 -0.129013157
    ---
    > d_y1_d_x1 0.072752928 -0.0272145783 0.186660139 0.1117534759 0.011811864
    > d_y2_d_x1 0.012780185 0.0343705286 -0.053983212 0.0015270459 -0.129013157
    3383,3394c3383,3394
    < d_y4_d_x1 -0.023256311 -0.0063509993 0.016983142 0.0014569560 -0.037962702
    < d_y5_d_x1 0.008657582 -0.0007693303 0.004752179 -0.1981283229 0.011535410
    < d_y1_d_x2 -0.154687374 0.0361488617 -0.181621385 0.1711186748 -0.005939693
    < d_y2_d_x2 -0.165123470 -0.0375921516 -0.008182344 -0.0005662137 0.060529359
    < d_y3_d_x2 -0.004292400 -0.0409498824 0.017634505 -0.0214588763 -0.066566891
    < d_y4_d_x2 -0.003275158 0.0016542323 -0.163424829 -0.0282551760 -0.004607426
    < d_y5_d_x2 0.032887582 -0.0106858966 0.010785817 0.0486416463 -0.011313173
    < d_y1_d_x3 0.095312647 -0.0497490937 0.044386717 -0.2541744593 0.002353673
    < d_y2_d_x3 0.282673884 0.0565325564 0.012467805 -0.0123234756 -0.062760908
    < d_y3_d_x3 0.019987484 0.1200872735 -0.018666665 0.0381750187 0.067143860
    < d_y4_d_x3 0.008160139 -0.0033084646 0.222921681 0.0224709140 0.002742251
    < d_y5_d_x3 -0.057417959 0.0229843922 -0.017677526 0.5052347429 0.012309598
    ---
    > d_y4_d_x1 -0.023256311 -0.0063509998 0.016983142 0.0014569559 -0.037962702
    > d_y5_d_x1 0.008657582 -0.0007693303 0.004752178 -0.1981283229 0.011535410
    > d_y1_d_x2 -0.154654067 0.0360045327 -0.181510362 0.1711852882 -0.005939693
    > d_y2_d_x2 -0.164868119 -0.0377586851 -0.008093526 0.0002331468 0.060929040
    > d_y3_d_x2 -0.004296910 -0.0409415557 0.017625831 -0.0214449986 -0.066579381
    > d_y4_d_x2 -0.003541611 0.0012878587 -0.163313807 -0.0282662782 -0.004185541
    > d_y5_d_x2 0.032723824 -0.0105915277 0.010780266 0.0486721774 -0.011093904
    > d_y1_d_x3 0.094901864 -0.0496602759 0.044542148 -0.2541411526 0.002520206
    > d_y2_d_x3 0.282052159 0.0575095527 0.012712054 -0.0130895295 -0.062783112
    > d_y3_d_x3 0.019979157 0.1200622934 -0.018652094 0.0381764065 0.067146289
    > d_y4_d_x3 0.008082424 -0.0026201263 0.223077112 0.0217714735 0.002819966
    > d_y5_d_x3 -0.057312488 0.0228012054 -0.017544299 0.5051792318 0.012226331
    3396,3397c3396,3397
    < d_y1_d_x1 -0.0720076366 -0.0015259605 3.554540e-03 -0.0049876459 -0.001392741
    < d_y2_d_x1 0.1533672812 -0.0089676989 1.880437e-02 -0.0032895109 -0.007163088
    ---
    > d_y1_d_x1 -0.0720076370 -0.0015259608 3.554540e-03 -0.0049876460 -0.001392741
    > d_y2_d_x1 0.1533672810 -0.0089676991 1.880437e-02 -0.0032895114 -0.007163088
    3399,3410c3399,3410
    < d_y4_d_x1 0.1021475980 -0.0014112458 -2.344463e-02 0.0042708610 -0.042091345
    < d_y5_d_x1 -0.0152344371 0.0105397590 3.942352e-03 -0.0174903268 0.087782032
    < d_y1_d_x2 0.0611510842 -0.0402011757 -2.542411e-03 -0.0002997602 -0.057120975
    < d_y2_d_x2 -0.0080713214 0.0287214696 -1.361133e-02 0.0164090963 -0.002942091
    < d_y3_d_x2 0.0004714978 0.0014321877 -5.204170e-05 0.0400068867 -0.005009534
    < d_y4_d_x2 -0.0078492768 0.0018429702 -1.210143e-03 0.0062172489 0.086497476
    < d_y5_d_x2 0.0010769163 -0.0222183383 1.054712e-04 0.0300343084 -0.066927019
    < d_y1_d_x3 -0.0558109114 0.0485944618 3.119727e-03 0.0011102230 0.063571370
    < d_y2_d_x3 0.0036526338 -0.0311084491 1.356693e-02 -0.0169420034 0.005950795
    < d_y3_d_x3 -0.0003216177 -0.0018367252 3.885781e-05 -0.0454140198 0.004306625
    < d_y4_d_x3 0.0034638958 -0.0025757174 1.221245e-04 -0.0059285910 -0.063082872
    < d_y5_d_x3 -0.0001915135 0.0221656027 1.831868e-04 -0.0334537953 0.044406145
    ---
    > d_y4_d_x1 0.1021475979 -0.0014112460 -2.344463e-02 0.0042708608 -0.042091345
    > d_y5_d_x1 -0.0152344370 0.0105397590 3.942352e-03 -0.0174903269 0.087782032
    > d_y1_d_x2 0.0607180972 -0.0400235400 -2.531308e-03 -0.0002220446 -0.057409633
    > d_y2_d_x2 -0.0082156504 0.0290545366 -1.358913e-02 0.0168753900 -0.002897682
    > d_y3_d_x2 0.0004871104 0.0014377388 -6.036838e-05 0.0400100092 -0.005009881
    > d_y4_d_x2 -0.0081157303 0.0022981617 -1.054712e-03 0.0059285910 0.086342045
    > d_y5_d_x2 0.0010547119 -0.0222266650 -5.273559e-05 0.0300010017 -0.067001960
    > d_y1_d_x3 -0.0554334356 0.0487831997 3.319567e-03 0.0011546319 0.063749006
    > d_y2_d_x3 0.0035194070 -0.0309641202 1.338929e-02 -0.0168753900 0.005351275
    > d_y3_d_x3 -0.0003358425 -0.0018301333 3.400058e-05 -0.0453956317 0.004302808
    > d_y4_d_x3 0.0035527137 -0.0021316282 6.661338e-05 -0.0054178884 -0.063504757
    > d_y5_d_x3 -0.0002664535 0.0221100915 2.053913e-04 -0.0334010597 0.044414472
    3418c3418
    < 1: d_y1_d_x2 -4.947e-01 5.395e-01 -0.917 0.359
    ---
    > 1: d_y1_d_x2 -4.947e-01 5.398e-01 -0.916 0.359
    3421,3424c3421,3424
    < 1: d_y4_d_x2 9.748e-02 3.724e-01 0.262 0.794
    < 1: d_y5_d_x2 -2.317e-01 3.163e-01 -0.733 0.464
    < 1: d_y1_d_x3 -4.766e-01 5.103e-01 -0.934 0.350
    < 1: d_y2_d_x3 -5.028e-02 3.831e-01 -0.131 0.896
    ---
    > 1: d_y4_d_x2 9.748e-02 3.723e-01 0.262 0.793
    > 1: d_y5_d_x2 -2.317e-01 3.162e-01 -0.733 0.464
    > 1: d_y1_d_x3 -4.766e-01 5.100e-01 -0.935 0.350
    > 1: d_y2_d_x3 -5.028e-02 3.827e-01 -0.131 0.895
    3426c3426
    < 1: d_y4_d_x3 -3.653e-02 2.706e-01 -0.135 0.893
    ---
    > 1: d_y4_d_x3 -3.653e-02 2.708e-01 -0.135 0.893
    3433c3433
    < 2: d_y1_d_x2 -4.817e-03 7.479e-02 -0.064 0.949
    ---
    > 2: d_y1_d_x2 -4.817e-03 7.495e-02 -0.064 0.949
    3435,3438c3435,3438
    < 2: d_y3_d_x2 -2.179e-01 8.921e-01 -0.244 0.807
    < 2: d_y4_d_x2 1.357e-01 4.095e-01 0.331 0.740
    < 2: d_y5_d_x2 -3.396e-01 6.379e-01 -0.532 0.595
    < 2: d_y1_d_x3 -2.496e-03 6.064e-02 -0.041 0.967
    ---
    > 2: d_y3_d_x2 -2.179e-01 8.920e-01 -0.244 0.807
    > 2: d_y4_d_x2 1.357e-01 4.096e-01 0.331 0.740
    > 2: d_y5_d_x2 -3.396e-01 6.374e-01 -0.533 0.594
    > 2: d_y1_d_x3 -2.496e-03 5.995e-02 -0.042 0.967
    3440c3440
    < 2: d_y3_d_x3 1.453e-01 5.677e-01 0.256 0.798
    ---
    > 2: d_y3_d_x3 1.453e-01 5.681e-01 0.256 0.798
    3442c3442
    < 2: d_y5_d_x3 5.112e-01 1.009e+00 0.507 0.612
    ---
    > 2: d_y5_d_x3 5.112e-01 1.008e+00 0.507 0.612
    3450c3450
    < 3: d_y3_d_x2 1.769e-04 4.469e-03 0.040 0.968
    ---
    > 3: d_y3_d_x2 1.769e-04 4.106e-03 0.043 0.966
    3452c3452
    < 3: d_y5_d_x2 -2.741e-03 2.284e-02 -0.120 0.904
    ---
    > 3: d_y5_d_x2 -2.741e-03 2.286e-02 -0.120 0.905
    3455c3455
    < 3: d_y3_d_x3 -2.166e-04 4.882e-03 -0.044 0.965
    ---
    > 3: d_y3_d_x3 -2.166e-04 5.456e-03 -0.040 0.968
    3457c3457
    < 3: d_y5_d_x3 4.095e-03 3.628e-02 0.113 0.910
    ---
    > 3: d_y5_d_x3 4.095e-03 3.657e-02 0.112 0.911
    Running 'pmvnormWrapTest.R'
    Comparing 'pmvnormWrapTest.Rout' to 'pmvnormWrapTest.Rout.save' ... OK
    ** running tests for arch 'x64' OK
    Running 'mvProbitEst.R'
    Comparing 'mvProbitEst.Rout' to 'mvProbitEst.Rout.save' ...133,137c133,137
    < [1] "Component 1: Mean relative difference: 1.835846e-08"
    < [2] "Component 2: Mean relative difference: 1.179581e-07"
    < [3] "Component 3: Mean relative difference: 1.254592e-06"
    < [4] "Component 4: Mean relative difference: 4.702758e-07"
    < [5] "Component 11: Mean relative difference: 4.498875e-07"
    ---
    > [1] "Component 1: Mean relative difference: 1.825892e-08"
    > [2] "Component 2: Mean relative difference: 1.179601e-07"
    > [3] "Component 3: Mean relative difference: 1.25489e-06"
    > [4] "Component 4: Mean relative difference: 4.704361e-07"
    > [5] "Component 11: Mean relative difference: 4.501242e-07"
    238,241c238,241
    < [1] "Component 2: Mean relative difference: 2.633371e-07"
    < [2] "Component 3: Mean relative difference: 8.516787e-07"
    < [3] "Component 4: Mean relative difference: 4.317991e-07"
    < [4] "Component 12: Mean relative difference: 2.455163e-07"
    ---
    > [1] "Component 2: Mean relative difference: 2.633406e-07"
    > [2] "Component 3: Mean relative difference: 8.516113e-07"
    > [3] "Component 4: Mean relative difference: 4.317256e-07"
    > [4] "Component 12: Mean relative difference: 2.450236e-07"
    438,440c438,440
    < [1] "Component 1: Mean relative difference: 7.343932e-06"
    < [2] "Component 2: Mean relative difference: 2.683045e-05"
    < [3] "Component 3: Mean relative difference: 0.0001800715"
    ---
    > [1] "Component 1: Mean relative difference: 7.343934e-06"
    > [2] "Component 2: Mean relative difference: 2.683038e-05"
    > [3] "Component 3: Mean relative difference: 0.0001800699"
    495c495
    < [1] "Component 1: Mean relative difference: 0.0001294771"
    ---
    > [1] "Component 1: Mean relative difference: 0.000129477"
    497c497
    < [3] "Component 3: Mean relative difference: 0.01734211"
    ---
    > [3] "Component 3: Mean relative difference: 0.01734212"
    499c499
    < [5] "Component 12: Mean relative difference: 0.00685237"
    ---
    > [5] "Component 12: Mean relative difference: 0.006852369"
    504c504
    < [3] "Component 3: Mean relative difference: 0.01738212"
    ---
    > [3] "Component 3: Mean relative difference: 0.01738213"
    506c506
    < [5] "Component 12: Mean relative difference: 0.006838736"
    ---
    > [5] "Component 12: Mean relative difference: 0.006838735"
    604,609c604,609
    < 1 0.3229491570 0.3836676992 -0.316955571 -0.441979916 -0.4386127077
    < 2 0.2429445847 0.3993797590 -0.330144619 -0.387614512 -0.5794260400
    < 3 0.2388601819 0.3982789455 -0.329783586 -0.099223749 -0.5013923966
    < 4 0.4010839952 0.0557836102 -0.084205830 -0.451571736 -0.1886322555
    < 5 0.1883227203 0.3691077222 -0.316570405 -0.067411731 -0.3961556789
    < 6 0.3702088341 0.0348830182 -0.061413065 -0.455364197 -0.1278614687
    ---
    > 1 0.3229491571 0.3836676992 -0.316955571 -0.441979915 -0.4386127078
    > 2 0.2429445848 0.3993797590 -0.330144619 -0.387614512 -0.5794260400
    > 3 0.2388601819 0.3982789455 -0.329783586 -0.099223749 -0.5013923968
    > 4 0.4010839953 0.0557836102 -0.084205830 -0.451571736 -0.1886322555
    > 5 0.1883227203 0.3691077222 -0.316570405 -0.067411731 -0.3961556791
    > 6 0.3702088341 0.0348830182 -0.061413065 -0.455364197 -0.1278614688
    611,615c611,615
    < 8 0.4007100991 0.2907940042 -0.259618855 -0.451711635 -0.2456774132
    < 9 0.2866645193 0.3996281228 -0.327737008 -0.421511448 -0.5108161193
    < 10 0.3126554267 0.3897239251 -0.320854424 -0.436950407 -0.4603049277
    < 11 0.3559814758 0.3554683195 -0.299468024 -0.205103323 -0.6288130110
    < 12 0.1219655175 0.2849034003 -0.270662367 -0.034586201 -0.2369272200
    ---
    > 8 0.4007100991 0.2907940043 -0.259618855 -0.451711635 -0.2456774131
    > 9 0.2866645193 0.3996281228 -0.327737008 -0.421511449 -0.5108161192
    > 10 0.3126554267 0.3897239251 -0.320854424 -0.436950408 -0.4603049277
    > 11 0.3559814758 0.3554683196 -0.299468024 -0.205103323 -0.6288130110
    > 12 0.1219655175 0.2849034003 -0.270662367 -0.034586201 -0.2369272202
    617,619c617,619
    < 14 0.0425053789 0.1103217794 -0.148796997 -0.007619505 -0.0545819828
    < 15 0.0374442582 0.0966390781 -0.136761212 -0.096792632 -0.2915498519
    < 16 0.3364458707 0.3738145586 -0.310770786 -0.183076397 -0.6237777822
    ---
    > 14 0.0425053789 0.1103217794 -0.148796997 -0.007619505 -0.0545819827
    > 15 0.0374442582 0.0966390781 -0.136761212 -0.096792632 -0.2915498517
    > 16 0.3364458707 0.3738145586 -0.310770786 -0.183076398 -0.6237777822
    621,622c621,622
    < 18 0.2663398659 0.4021325788 -0.330275056 -0.406929888 -0.5455404371
    < 19 0.4376429542 0.1696359686 -0.178946449 -0.370373203 -0.4388108528
    ---
    > 18 0.2663398659 0.4021325788 -0.330275056 -0.406929888 -0.5455404372
    > 19 0.4376429542 0.1696359686 -0.178946449 -0.370373203 -0.4388108527
    624,627c624,627
    < 21 0.1243685669 0.2889115851 -0.273009380 -0.249665699 -0.5965848233
    < 22 0.0007459368 0.0006997555 -0.005794037 -0.002963512 -0.0038764262
    < 23 0.4382229462 0.1426446470 -0.158983664 -0.377686061 -0.0793317558
    < 24 0.0830536061 0.2095390165 -0.223402595 -0.184151430 -0.5029618389
    ---
    > 21 0.1243685670 0.2889115851 -0.273009380 -0.249665699 -0.5965848232
    > 22 0.0007459368 0.0006997555 -0.005794037 -0.002963512 -0.0038764260
    > 23 0.4382229462 0.1426446471 -0.158983664 -0.377686061 -0.0793317558
    > 24 0.0830536061 0.2095390165 -0.223402595 -0.184151430 -0.5029618391
    629,632c629,632
    < 26 0.4378382911 0.1365702837 -0.154340785 -0.372385737 -0.0744061888
    < 27 0.1729600304 0.3543882323 -0.309111596 -0.058957089 -0.3607121359
    < 28 0.0257893979 0.0644472362 -0.105597216 -0.003833087 -0.0256483435
    < 29 0.3029664390 0.3943070184 -0.323906809 -0.431637730 -0.4798749185
    ---
    > 26 0.4378382911 0.1365702837 -0.154340785 -0.372385737 -0.0744061887
    > 27 0.1729600304 0.3543882323 -0.309111596 -0.058957089 -0.3607121360
    > 28 0.0257893979 0.0644472362 -0.105597216 -0.003833087 -0.0256483436
    > 29 0.3029664390 0.3943070185 -0.323906809 -0.431637730 -0.4798749185
    635,637c635,637
    < 32 0.3573773964 0.3539600682 -0.298544079 -0.453545721 -0.3597566942
    < 33 0.1516902826 0.3293284563 -0.295806452 -0.048116319 -0.3098804129
    < 34 0.4109693775 0.2693770277 -0.246106417 -0.287100465 -0.5780744978
    ---
    > 32 0.3573773964 0.3539600683 -0.298544079 -0.453545721 -0.3597566944
    > 33 0.1516902826 0.3293284563 -0.295806452 -0.048116319 -0.3098804128
    > 34 0.4109693775 0.2693770277 -0.246106417 -0.287100465 -0.5780744977
    639,640c639,640
    < 36 0.3438409908 0.3674584553 -0.306835661 -0.191130998 -0.6266939810
    < 37 0.4348121020 0.1159357570 -0.138075145 -0.412808406 -0.3345517684
    ---
    > 36 0.3438409908 0.3674584553 -0.306835661 -0.191130998 -0.6266939812
    > 37 0.4348121020 0.1159357570 -0.138075145 -0.412808406 -0.3345517685
    644,645c644,645
    < 41 0.4383602628 0.1464601355 -0.161869641 -0.380895849 -0.0824913411
    < 42 0.3938189786 0.3033933329 -0.267470489 -0.453789429 -0.2652455675
    ---
    > 41 0.4383602628 0.1464601355 -0.161869641 -0.380895849 -0.0824913410
    > 42 0.3938189786 0.3033933329 -0.267470489 -0.453789429 -0.2652455676
    653c653
    < 50 0.0417272238 0.1082331002 -0.146997339 -0.105894032 -0.3177684700
    ---
    > 50 0.0417272238 0.1082331002 -0.146997339 -0.105894032 -0.3177684702
    692c692
    < 38 0.318287911
    ---
    > 38 0.318287912
    703c703
    < 49 0.381188132
    ---
    > 49 0.381188131
    709,713c709,713
    < 1 0.03877687 -0.016279760 -0.006506543 -0.0085402733 -0.01954586 0.005452564
    < 2 0.04152043 -0.040327021 -0.019207150 0.0004182944 0.00769586 0.012654096
    < 3 0.04198335 -0.041152336 -0.019563310 -0.0163540740 0.02869329 0.004461779
    < 4 0.07492160 -0.005167856 0.014058108 -0.0451283882 0.01000945 -0.020397082
    < 5 0.04747089 -0.045578202 -0.021184702 -0.0228789994 0.01683493 -0.004198683
    ---
    > 1 0.03877687 -0.016279760 -0.006506543 -0.0085524411 -0.019547037 0.005454279
    > 2 0.04152043 -0.040327021 -0.019207150 0.0004315898 0.007676233 0.012659633
    > 3 0.04198335 -0.041152336 -0.019563310 -0.0163880273 0.028694027 0.004474309
    > 4 0.07492160 -0.005167857 0.014058108 -0.0450526067 0.010011396 -0.020390007
    > 5 0.04747089 -0.045578202 -0.021184702 -0.0229278566 0.016834638 -0.004204519
    718,722c718,722
    < 1 -0.016279760 0.06838234 0.032611453 -0.030801387 0.036196643 -0.0175017419
    < 2 -0.040327021 0.09950789 0.038272789 -0.009167973 -0.007973106 -0.0359550506
    < 3 -0.041152336 0.10008456 0.037883511 0.029086068 -0.029061801 -0.0145327634
    < 4 -0.005167856 0.01254829 -0.003709549 0.016823581 -0.027222313 0.0053818819
    < 5 -0.045578202 0.09564278 0.028093463 0.025771090 -0.009548094 0.0006714195
    ---
    > 1 -0.016279760 0.06838234 0.032611453 -0.030785596 0.036198536 -0.0175058405
    > 2 -0.040327021 0.09950789 0.038272789 -0.009186342 -0.007934649 -0.0359693510
    > 3 -0.041152336 0.10008456 0.037883511 0.029127127 -0.029041689 -0.0145595674
    > 4 -0.005167857 0.01254829 -0.003709549 0.016806180 -0.027225552 0.0053803236
    > 5 -0.045578202 0.09564278 0.028093463 0.025822338 -0.009540776 0.0006788095
    727,731c727,731
    < 1 -0.006506543 0.032611453 0.08668897 -0.031969852 0.0071240828 0.006515933
    < 2 -0.019207150 0.038272789 0.09482705 -0.012363394 -0.0219696362 -0.020620364
    < 3 -0.019563310 0.037883511 0.09443552 0.021017801 -0.0158492357 -0.006760426
    < 4 0.014058108 -0.003709549 0.01349634 -0.003792891 0.0074837698 -0.017366864
    < 5 -0.021184702 0.028093463 0.08326911 0.017083350 -0.0006125844 0.011663737
    ---
    > 1 -0.006506543 0.032611453 0.08668897 -0.031957080 0.0071226706 0.006486255
    > 2 -0.019207150 0.038272789 0.09482705 -0.012376408 -0.0219579805 -0.020635830
    > 3 -0.019563310 0.037883511 0.09443552 0.021043220 -0.0158342307 -0.006807902
    > 4 0.014058108 -0.003709549 0.01349634 -0.003779655 0.0074845084 -0.017363703
    > 5 -0.021184702 0.028093463 0.08326911 0.017113366 -0.0006060267 0.011689134
    736,740c736,740
    < 1 -0.0085402733 -0.030801387 -0.031969852 0.10522900 -0.014260299 0.003872839
    < 2 0.0004182944 -0.009167973 -0.012363394 0.04267192 0.010031134 0.004311241
    < 3 -0.0163540740 0.029086068 0.021017801 0.03134553 -0.018728444 0.008687257
    < 4 -0.0451283882 0.016823581 -0.003792891 0.14036148 -0.034612349 0.009515910
    < 5 -0.0228789994 0.025771090 0.017083350 0.02533614 -0.007762122 0.010190906
    ---
    > 1 -0.0085524411 -0.030785596 -0.031957080 0.10518470 -0.014246799 0.003877102
    > 2 0.0004315898 -0.009186342 -0.012376408 0.04271272 0.010036546 0.004318761
    > 3 -0.0163880273 0.029127127 0.021043220 0.03140680 -0.018753031 0.008672458
    > 4 -0.0450526067 0.016806180 -0.003779655 0.14013492 -0.034582161 0.009486614
    > 5 -0.0229278566 0.025822338 0.017113366 0.02541768 -0.007777457 0.010209240
    745,749c745,749
    < 1 -0.01954586 0.036196643 0.0071240828 -0.014260299 0.04658403 -0.013948866
    < 2 0.00769586 -0.007973106 -0.0219696362 0.010031134 0.03455752 -0.005988810
    < 3 0.02869329 -0.029061801 -0.0158492357 -0.018728444 0.07254368 -0.010837602
    < 4 0.01000945 -0.027222313 0.0074837698 -0.034612349 0.05968750 -0.010807055
    < 5 0.01683493 -0.009548094 -0.0006125844 -0.007762122 0.04531773 -0.007452532
    ---
    > 1 -0.019547037 0.036198536 0.0071226706 -0.014246799 0.04659230 -0.013947597
    > 2 0.007676233 -0.007934649 -0.0219579805 0.010036546 0.03455302 -0.006000680
    > 3 0.028694027 -0.029041689 -0.0158342307 -0.018753031 0.07259357 -0.010834949
    > 4 0.010011396 -0.027225552 0.0074845084 -0.034582161 0.05970141 -0.010805226
    > 5 0.016834638 -0.009540776 -0.0006060267 -0.007777457 0.04534636 -0.007453327
    754,758c754,758
    < 1 0.005452564 -0.0175017419 0.006515933 0.003872839 -0.013948866 0.02723409
    < 2 0.012654096 -0.0359550506 -0.020620364 0.004311241 -0.005988810 0.05597946
    < 3 0.004461779 -0.0145327634 -0.006760426 0.008687257 -0.010837602 0.04244723
    < 4 -0.020397082 0.0053818819 -0.017366864 0.009515910 -0.010807055 0.02392538
    < 5 -0.004198683 0.0006714195 0.011663737 0.010190906 -0.007452532 0.02699283
    ---
    > 1 0.005454279 -0.0175058405 0.006486255 0.003877102 -0.013947597 0.02721375
    > 2 0.012659633 -0.0359693510 -0.020635830 0.004318761 -0.006000680 0.05602195
    > 3 0.004474309 -0.0145595674 -0.006807902 0.008672458 -0.010834949 0.04244698
    > 4 -0.020390007 0.0053803236 -0.017363703 0.009486614 -0.010805226 0.02391138
    > 5 -0.004204519 0.0006788095 0.011689134 0.010209240 -0.007453327 0.02699698
    762,767c762,767
    < d_y1_d_x1 0.020288104 -0.002813578 -0.001572159 -0.031757991 0.014231750
    < d_y2_d_x1 -0.002813578 0.011445332 -0.006468166 0.005125804 -0.020302996
    < d_y3_d_x1 -0.001572159 -0.006468166 0.021217346 0.002632895 0.008923884
    < d_y1_d_x2 -0.031757991 0.005125804 0.002632895 0.050215500 -0.024181283
    < d_y2_d_x2 0.014231750 -0.020302996 0.008923884 -0.024181283 0.046879898
    < d_y3_d_x2 0.002396771 0.003781461 -0.015841659 -0.003701215 -0.004815880
    ---
    > d_y1_d_x1 0.020288104 -0.002813578 -0.001572159 -0.031743940 0.014206862
    > d_y2_d_x1 -0.002813578 0.011445332 -0.006468166 0.005122685 -0.020284870
    > d_y3_d_x1 -0.001572159 -0.006468166 0.021217346 0.002631792 0.008918785
    > d_y1_d_x2 -0.031743940 0.005122685 0.002631792 0.050169955 -0.024127042
    > d_y2_d_x2 0.014206862 -0.020284870 0.008918785 -0.024127042 0.046770483
    > d_y3_d_x2 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
    769,774c769,774
    < d_y1_d_x1 0.002396771
    < d_y2_d_x1 0.003781461
    < d_y3_d_x1 -0.015841659
    < d_y1_d_x2 -0.003701215
    < d_y2_d_x2 -0.004815880
    < d_y3_d_x2 0.019249970
    ---
    > d_y1_d_x1 0.002395896
    > d_y2_d_x1 0.003782239
    > d_y3_d_x1 -0.015842908
    > d_y1_d_x2 -0.003698285
    > d_y2_d_x2 -0.004816119
    > d_y3_d_x2 0.019248488
    779c779
    < 1 -0.2388744 0 0 0.10892235 0 0
    ---
    > 1 -0.2388744 0 0 0.10904915 0 0
    781,783c781,783
    < 3 -0.2493160 0 0 0.17321063 0 0
    < 4 0.1599499 0 0 0.06035744 0 0
    < 5 -0.2320732 0 0 0.13161979 0 0
    ---
    > 3 -0.2493160 0 0 0.17333744 0 0
    > 4 0.1599499 0 0 0.06061104 0 0
    > 5 -0.2320732 0 0 0.13187340 0 0
    791,792c791,792
    < 4 0.39537857 0 0 0.06035744 0 0
    < 5 0.05902308 0 0 0.13174660 0 0
    ---
    > 4 0.39537857 0 0 0.06061104 0 0
    > 5 0.05902308 0 0 0.13187340 0 0
    798,799c798,799
    < 2 0.00713664 0 0 0.33304006 0 0
    < 3 0.01068829 0 0 0.07952196 0 0
    ---
    > 2 0.00713664 0 0 0.33316686 0 0
    > 3 0.01068829 0 0 0.07939516 0 0
    806,810c806,810
    < 1 0 0.11228991 0 0 -0.3723077 0
    < 2 0 -0.04471821 0 0 -0.2343220 0
    < 3 0 -0.05278442 0 0 0.3370456 0
    < 4 0 0.10632658 0 0 -0.2926837 0
    < 5 0 -0.14586693 0 0 0.3807951 0
    ---
    > 1 0 0.11228991 0 0 -0.3723514 0
    > 2 0 -0.04471821 0 0 -0.2344970 0
    > 3 0 -0.05278442 0 0 0.3373956 0
    > 4 0 0.10632658 0 0 -0.2927056 0
    > 5 0 -0.14586693 0 0 0.3809701 0
    817,819c817,819
    < 3 0 0.3180941 0 0 0.3372206 0
    < 4 0 0.1196723 0 0 -0.2927165 0
    < 5 0 0.2513296 0 0 0.3807951 0
    ---
    > 3 0 0.3180941 0 0 0.3375706 0
    > 4 0 0.1196723 0 0 -0.2927275 0
    > 5 0 0.2513296 0 0 0.3809701 0
    824c824
    < 1 0 0.028445114 0 0 0.1839415 0
    ---
    > 1 0 0.028445114 0 0 0.1839853 0
    827c827
    < 4 0 0.145518796 0 0 -0.2809193 0
    ---
    > 4 0 0.145518796 0 0 -0.2809522 0
    833c833
    < 1 0 0 0.08932894 0 0 -0.2806628
    ---
    > 1 0 0 0.08932894 0 0 -0.2803831
    835,837c835,837
    < 3 0 0 -0.02279842 0 0 0.2220690
    < 4 0 0 0.13528012 0 0 -0.2840190
    < 5 0 0 -0.09049632 0 0 0.2812221
    ---
    > 3 0 0 -0.02279842 0 0 0.2218592
    > 4 0 0 0.13528012 0 0 -0.2837393
    > 5 0 0 -0.09049632 0 0 0.2811522
    844,846c844,846
    < 3 0 0 0.3519786 0 0 0.2220690
    < 4 0 0 0.1764384 0 0 -0.2840190
    < 5 0 0 0.3054330 0 0 0.2811172
    ---
    > 3 0 0 0.3519786 0 0 0.2217893
    > 4 0 0 0.1764384 0 0 -0.2838791
    > 5 0 0 0.3054330 0 0 0.2811872
    852c852
    < 2 0 0 0.0004915801 0 0 0.3772282
    ---
    > 2 0 0 0.0004915802 0 0 0.3773680
    855c855
    < 5 0 0 0.0204314439 0 0 0.2419798
    ---
    > 5 0 0 0.0204314438 0 0 0.2419798
    886,891c886,891
    < d_y1_d_x1 -0.08621442 0.00650226 0.08849228 0.0000000 0.00000000 0.0000000
    < d_y2_d_x1 0.00000000 0.00000000 0.00000000 -0.1679077 0.03369144 0.1723439
    < d_y3_d_x1 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    < d_y1_d_x2 0.18094552 0.00000000 -0.09292049 0.0000000 0.00000000 0.0000000
    < d_y2_d_x2 0.00000000 0.00000000 0.00000000 0.3715202 0.00000000 -0.1795459
    < d_y3_d_x2 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    ---
    > d_y1_d_x1 -0.08621442 0.006502259 0.08849228 0.0000000 0.00000000 0.0000000
    > d_y2_d_x1 0.00000000 0.000000000 0.00000000 -0.1679077 0.03369144 0.1723439
    > d_y3_d_x1 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000
    > d_y1_d_x2 0.18081872 0.000000000 -0.09292049 0.0000000 0.00000000 0.0000000
    > d_y2_d_x2 0.00000000 0.000000000 0.00000000 0.3711702 0.00000000 -0.1795459
    > d_y3_d_x2 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000
    898c898
    < d_y3_d_x2 0.3005902 0.00000000 -0.03893892 0 0 0
    ---
    > d_y3_d_x2 0.3005902 0.00000000 -0.03897388 0 0 0
    904,906c904,906
    < 1: d_y1_d_x2 -0.4419799 0.3243902 -1.362 0.17304
    < 1: d_y2_d_x2 -0.4386127 0.2158333 -2.032 0.04214 *
    < 1: d_y3_d_x2 0.3859215 0.1650275 2.339 0.01936 *
    ---
    > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
    > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
    > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
    910,912c910,912
    < 2: d_y1_d_x2 -0.3876145 0.2065718 -1.876 0.06060 .
    < 2: d_y2_d_x2 -0.5794260 0.1858965 -3.117 0.00183 **
    < 2: d_y3_d_x2 0.4689856 0.2365998 1.982 0.04746 *
    ---
    > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
    > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
    > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
    916,918c916,918
    < 3: d_y1_d_x2 -0.0992237 0.1770467 -0.560 0.57518
    < 3: d_y2_d_x2 -0.5013924 0.2693393 -1.862 0.06266 .
    < 3: d_y3_d_x2 0.4433467 0.2060273 2.152 0.03141 *
    ---
    > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
    > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
    > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
    922,924c922,924
    < 4: d_y1_d_x2 -0.4515717 0.3746485 -1.205 0.22808
    < 4: d_y2_d_x2 -0.1886323 0.2443103 -0.772 0.44005
    < 4: d_y3_d_x2 0.2222390 0.1546783 1.437 0.15078
    ---
    > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
    > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
    > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
    928,930c928,930
    < 5: d_y1_d_x2 -0.0674117 0.1591733 -0.424 0.67192
    < 5: d_y2_d_x2 -0.3961557 0.2128796 -1.861 0.06275 .
    < 5: d_y3_d_x2 0.3847186 0.1642950 2.342 0.01920 *
    ---
    > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
    > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
    > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
    934,936c934,936
    < 6: d_y1_d_x2 -0.4553642 0.3715438 -1.226 0.22035
    < 6: d_y2_d_x2 -0.1278615 0.2191638 -0.583 0.55962
    < 6: d_y3_d_x2 0.1721719 0.1589760 1.083 0.27881
    ---
    > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
    > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
    > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
    941,942c941,942
    < 7: d_y2_d_x2 -0.0060669 0.0202845 -0.299 0.76487
    < 7: d_y3_d_x2 0.0283926 0.0809092 0.351 0.72565
    ---
    > 7: d_y2_d_x2 -0.0060669 0.0202419 -0.300 0.76439
    > 7: d_y3_d_x2 0.0283926 0.0809208 0.351 0.72569
    946,948c946,948
    < 8: d_y1_d_x2 -0.4517116 0.3779356 -1.195 0.23201
    < 8: d_y2_d_x2 -0.2456774 0.2896346 -0.848 0.39631
    < 8: d_y3_d_x2 0.2612208 0.1388854 1.881 0.05999 .
    ---
    > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
    > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
    > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
    952,954c952,954
    < 9: d_y1_d_x2 -0.4215114 0.2734159 -1.542 0.12316
    < 9: d_y2_d_x2 -0.5108161 0.1768722 -2.888 0.00388 **
    < 9: d_y3_d_x2 0.4287282 0.1973726 2.172 0.02984 *
    ---
    > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
    > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
    > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
    958,960c958,960
    < 10: d_y1_d_x2 -0.4369504 0.3108845 -1.406 0.15987
    < 10: d_y2_d_x2 -0.4603049 0.2026358 -2.272 0.02311 *
    < 10: d_y3_d_x2 0.3989088 0.1737348 2.296 0.02167 *
    ---
    > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
    > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
    > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
    964,965c964,965
    < 11: d_y1_d_x2 -0.2051033 0.1687856 -1.215 0.22430
    < 11: d_y2_d_x2 -0.6288130 0.2933111 -2.144 0.03205 *
    ---
    > 11: d_y1_d_x2 -0.2051033 0.1686940 -1.216 0.22405
    > 11: d_y2_d_x2 -0.6288130 0.2929760 -2.146 0.03185 *
    970,972c970,972
    < 12: d_y1_d_x2 -0.0345862 0.1171653 -0.295 0.76785
    < 12: d_y2_d_x2 -0.2369272 0.1551927 -1.527 0.12684
    < 12: d_y3_d_x2 0.2806895 0.1495095 1.877 0.06046 .
    ---
    > 12: d_y1_d_x2 -0.0345862 0.1169745 -0.296 0.76748
    > 12: d_y2_d_x2 -0.2369272 0.1553557 -1.525 0.12724
    > 12: d_y3_d_x2 0.2806895 0.1495365 1.877 0.06051 .
    977,978c977,978
    < 13: d_y2_d_x2 -0.3318477 0.1849233 -1.795 0.07273 .
    < 13: d_y3_d_x2 0.3453127 0.1505090 2.294 0.02177 *
    ---
    > 13: d_y2_d_x2 -0.3318477 0.1847243 -1.796 0.07242 .
    > 13: d_y3_d_x2 0.3453127 0.1505415 2.294 0.02180 *
    982,984c982,984
    < 14: d_y1_d_x2 -0.0076195 0.0440910 -0.173 0.86280
    < 14: d_y2_d_x2 -0.0545820 0.0867763 -0.629 0.52935
    < 14: d_y3_d_x2 0.1126242 0.1559778 0.722 0.47026
    ---
    > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
    > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
    > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
    988,990c988,990
    < 15: d_y1_d_x2 -0.0967926 0.2197781 -0.440 0.65964
    < 15: d_y2_d_x2 -0.2915499 0.2033819 -1.434 0.15171
    < 15: d_y3_d_x2 0.3222879 0.1370785 2.351 0.01872 *
    ---
    > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
    > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
    > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
    994c994
    < 16: d_y1_d_x2 -0.1830764 0.1738322 -1.053 0.29226
    ---
    > 16: d_y1_d_x2 -0.1830764 0.1737741 -1.054 0.29210
    1000c1000
    < 17: d_y1_d_x2 -0.2257431 0.1653520 -1.365 0.17218
    ---
    > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
    1002c1002
    < 17: d_y3_d_x2 0.4990113 0.2682226 1.860 0.06282 .
    ---
    > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
    1006,1008c1006,1008
    < 18: d_y1_d_x2 -0.4069299 0.2421340 -1.681 0.09284 .
    < 18: d_y2_d_x2 -0.5455404 0.1716277 -3.179 0.00148 **
    < 18: d_y3_d_x2 0.4490482 0.2162778 2.076 0.03787 *
    ---
    > 18: d_y1_d_x2 -0.4069299 0.2423963 -1.679 0.09320 .
    > 18: d_y2_d_x2 -0.5455404 0.1716217 -3.179 0.00148 **
    > 18: d_y3_d_x2 0.4490482 0.2163669 2.075 0.03795 *
    1013,1014c1013,1014
    < 19: d_y2_d_x2 -0.4388109 0.1792214 -2.448 0.01435 *
    < 19: d_y3_d_x2 0.3891081 0.1720502 2.262 0.02372 *
    ---
    > 19: d_y2_d_x2 -0.4388109 0.1792273 -2.448 0.01435 *
    > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
    1018,1020c1018,1020
    < 20: d_y1_d_x2 -0.0893004 0.1579512 -0.565 0.57182
    < 20: d_y2_d_x2 -0.0007183 0.0053674 -0.134 0.89353
    < 20: d_y3_d_x2 0.0057560 0.0253309 0.227 0.82024
    ---
    > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
    > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
    > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
    1024,1026c1024,1026
    < 21: d_y1_d_x2 -0.2496657 0.1727688 -1.445 0.14843
    < 21: d_y2_d_x2 -0.5965848 0.3367888 -1.771 0.07650 .
    < 21: d_y3_d_x2 0.4914407 0.2550038 1.927 0.05396 .
    ---
    > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
    > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
    > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
    1030,1032c1030,1032
    < 22: d_y1_d_x2 -0.0029635 0.0244227 -0.121 0.90342
    < 22: d_y2_d_x2 -0.0038764 0.0136779 -0.283 0.77686
    < 22: d_y3_d_x2 0.0220188 0.0686872 0.321 0.74854
    ---
    > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
    > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
    > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
    1036,1038c1036,1038
    < 23: d_y1_d_x2 -0.3776861 0.2688946 -1.405 0.16014
    < 23: d_y2_d_x2 -0.0793318 0.1962429 -0.404 0.68603
    < 23: d_y3_d_x2 0.1237074 0.1476669 0.838 0.40217
    ---
    > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
    > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
    > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
    1043,1044c1043,1044
    < 24: d_y2_d_x2 -0.5029618 0.3121701 -1.611 0.10714
    < 24: d_y3_d_x2 0.4465735 0.2030341 2.200 0.02784 *
    ---
    > 24: d_y2_d_x2 -0.5029618 0.3122748 -1.611 0.10726
    > 24: d_y3_d_x2 0.4465735 0.2031295 2.198 0.02792 *
    1049,1050c1049,1050
    < 25: d_y2_d_x2 -0.5140301 0.3173340 -1.620 0.10527
    < 25: d_y3_d_x2 0.4522409 0.2089410 2.164 0.03043 *
    ---
    > 25: d_y2_d_x2 -0.5140301 0.3173040 -1.620 0.10523
    > 25: d_y3_d_x2 0.4522409 0.2089671 2.164 0.03045 *
    1054,1055c1054,1055
    < 26: d_y1_d_x2 -0.3723857 0.2611658 -1.426 0.15391
    < 26: d_y2_d_x2 -0.0744062 0.1894331 -0.393 0.69448
    ---
    > 26: d_y1_d_x2 -0.3723857 0.2610610 -1.426 0.15374
    > 26: d_y2_d_x2 -0.0744062 0.1894584 -0.393 0.69452
    1060,1062c1060,1062
    < 27: d_y1_d_x2 -0.0589571 0.1514786 -0.389 0.69712
    < 27: d_y2_d_x2 -0.3607121 0.1965385 -1.835 0.06646 .
    < 27: d_y3_d_x2 0.3633744 0.1554090 2.338 0.01938 *
    ---
    > 27: d_y1_d_x2 -0.0589571 0.1511973 -0.390 0.69658
    > 27: d_y2_d_x2 -0.3607121 0.1966482 -1.834 0.06661 .
    > 27: d_y3_d_x2 0.3633744 0.1553877 2.339 0.01936 *
    1066,1068c1066,1068
    < 28: d_y1_d_x2 -0.0038331 0.0262155 -0.146 0.88375
    < 28: d_y2_d_x2 -0.0256483 0.0556466 -0.461 0.64486
    < 28: d_y3_d_x2 0.0701960 0.1320780 0.531 0.59509
    ---
    > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
    > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
    > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
    1073,1074c1073,1074
    < 29: d_y2_d_x2 -0.4798749 0.1913586 -2.508 0.01215 *
    < 29: d_y3_d_x2 0.4105213 0.1822838 2.252 0.02432 *
    ---
    > 29: d_y2_d_x2 -0.4798749 0.1912621 -2.509 0.01211 *
    > 29: d_y3_d_x2 0.4105213 0.1822638 2.252 0.02430 *
    1080c1080
    < 30: d_y3_d_x2 0.4142648 0.1823351 2.272 0.02309 *
    ---
    > 30: d_y3_d_x2 0.4142648 0.1822614 2.273 0.02303 *
    1084,1085c1084,1085
    < 31: d_y1_d_x2 -0.1091608 0.1796551 -0.608 0.54344
    < 31: d_y2_d_x2 -0.5263905 0.2832873 -1.858 0.06315 .
    ---
    > 31: d_y1_d_x2 -0.1091608 0.1794793 -0.608 0.54305
    > 31: d_y2_d_x2 -0.5263905 0.2833821 -1.858 0.06324 .
    1090,1092c1090,1092
    < 32: d_y1_d_x2 -0.4535457 0.3611636 -1.256 0.20919
    < 32: d_y2_d_x2 -0.3597567 0.2602254 -1.382 0.16682
    < 32: d_y3_d_x2 0.3373256 0.1428554 2.361 0.01821 *
    ---
    > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
    > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
    > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
    1096,1098c1096,1098
    < 33: d_y1_d_x2 -0.0481163 0.1385520 -0.347 0.72838
    < 33: d_y2_d_x2 -0.3098804 0.1767024 -1.754 0.07948 .
    < 33: d_y3_d_x2 0.3311181 0.1482967 2.233 0.02556 *
    ---
    > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
    > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
    > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
    1102,1104c1102,1104
    < 34: d_y1_d_x2 -0.2871005 0.1750356 -1.640 0.10096
    < 34: d_y2_d_x2 -0.5780745 0.1937750 -2.983 0.00285 **
    < 34: d_y3_d_x2 0.4700927 0.2377506 1.977 0.04801 *
    ---
    > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
    > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
    > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
    1109,1110c1109,1110
    < 35: d_y2_d_x2 -0.3993267 0.2143439 -1.863 0.06246 .
    < 35: d_y3_d_x2 0.3865862 0.1652919 2.339 0.01935 *
    ---
    > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
    > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
    1114,1116c1114,1116
    < 36: d_y1_d_x2 -0.1911310 0.1716830 -1.113 0.26559
    < 36: d_y2_d_x2 -0.6266940 0.3039526 -2.062 0.03923 *
    < 36: d_y3_d_x2 0.5022961 0.2709748 1.854 0.06379 .
    ---
    > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
    > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
    > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
    1120,1122c1120,1122
    < 37: d_y1_d_x2 -0.4128084 0.3172499 -1.301 0.19319
    < 37: d_y2_d_x2 -0.3345518 0.2260346 -1.480 0.13885
    < 37: d_y3_d_x2 0.3245445 0.1492062 2.175 0.02962 *
    ---
    > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
    > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
    > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
    1126,1128c1126,1128
    < 38: d_y1_d_x2 -0.4552948 0.3701153 -1.230 0.21864
    < 38: d_y2_d_x2 -0.3300386 0.2729325 -1.209 0.22657
    < 38: d_y3_d_x2 0.3182879 0.1388773 2.292 0.02191 *
    ---
    > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
    > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
    > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
    1132,1133c1132,1133
    < 39: d_y1_d_x2 -0.3016233 0.1439206 -2.096 0.03610 *
    < 39: d_y2_d_x2 -0.6275330 0.3060228 -2.051 0.04031 *
    ---
    > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
    > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
    1138,1140c1138,1140
    < 40: d_y1_d_x2 -0.3371781 0.2125076 -1.587 0.11259
    < 40: d_y2_d_x2 -0.0488786 0.1471128 -0.332 0.73970
    < 40: d_y3_d_x2 0.0900131 0.1364140 0.660 0.50935
    ---
    > 40: d_y1_d_x2 -0.3371781 0.2125041 -1.587 0.11258
    > 40: d_y2_d_x2 -0.0488786 0.1471075 -0.332 0.73969
    > 40: d_y3_d_x2 0.0900131 0.1364710 0.660 0.50953
    1144,1146c1144,1146
    < 41: d_y1_d_x2 -0.3808958 0.2737255 -1.392 0.16407
    < 41: d_y2_d_x2 -0.0824913 0.2005016 -0.411 0.68076
    < 41: d_y3_d_x2 0.1269258 0.1482328 0.856 0.39185
    ---
    > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
    > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
    > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
    1150,1152c1150,1152
    < 42: d_y1_d_x2 -0.4537894 0.3786515 -1.198 0.23075
    < 42: d_y2_d_x2 -0.2652456 0.2886306 -0.919 0.35811
    < 42: d_y3_d_x2 0.2749274 0.1376581 1.997 0.04581 *
    ---
    > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
    > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
    > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
    1156,1158c1156,1158
    < 43: d_y1_d_x2 -0.4401057 0.3191515 -1.379 0.16790
    < 43: d_y2_d_x2 -0.4471386 0.2106246 -2.123 0.03376 *
    < 43: d_y3_d_x2 0.3910420 0.1682400 2.324 0.02011 *
    ---
    > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
    > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
    > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
    1162c1162
    < 44: d_y1_d_x2 -0.0247164 0.0965276 -0.256 0.79791
    ---
    > 44: d_y1_d_x2 -0.0247164 0.0967978 -0.255 0.79846
    1164c1164
    < 44: d_y3_d_x2 0.2336972 0.1571964 1.487 0.13711
    ---
    > 44: d_y3_d_x2 0.2336972 0.1572143 1.486 0.13715
    1168,1170c1168,1170
    < 45: d_y1_d_x2 -0.4510042 0.3738209 -1.206 0.22764
    < 45: d_y2_d_x2 -0.1923211 0.2450674 -0.785 0.43259
    < 45: d_y3_d_x2 0.2250886 0.1542462 1.459 0.14449
    ---
    > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
    > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
    > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
    1174,1176c1174,1176
    < 46: d_y1_d_x2 -0.2160482 0.1969100 -1.097 0.27256
    < 46: d_y2_d_x2 -0.5558719 0.3325529 -1.672 0.09462 .
    < 46: d_y3_d_x2 0.4728836 0.2319700 2.039 0.04149 *
    ---
    > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
    > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
    > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
    1180,1182c1180,1182
    < 47: d_y1_d_x2 -0.0664679 0.1464373 -0.454 0.64990
    < 47: d_y2_d_x2 -0.0003165 0.0026316 -0.120 0.90428
    < 47: d_y3_d_x2 0.0033819 0.0167962 0.201 0.84042
    ---
    > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
    > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
    > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
    1186,1187c1186,1187
    < 48: d_y1_d_x2 -0.2179729 0.1421700 -1.533 0.12523
    < 48: d_y2_d_x2 -0.0103702 0.0485404 -0.214 0.83083
    ---
    > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
    > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
    1192c1192
    < 49: d_y1_d_x2 -0.0659294 0.1581360 -0.417 0.67674
    ---
    > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
    1194c1194
    < 49: d_y3_d_x2 0.3811881 0.1626010 2.344 0.01906 *
    ---
    > 49: d_y3_d_x2 0.3811881 0.1625644 2.345 0.01904 *
    1198,1200c1198,1200
    < 50: d_y1_d_x2 -0.1058940 0.2240882 -0.473 0.63653
    < 50: d_y2_d_x2 -0.3177685 0.2165177 -1.468 0.14220
    < 50: d_y3_d_x2 0.3395679 0.1387443 2.447 0.01439 *
    ---
    > 50: d_y1_d_x2 -0.1058940 0.2239865 -0.473 0.63638
    > 50: d_y2_d_x2 -0.3177685 0.2162648 -1.469 0.14174
    > 50: d_y3_d_x2 0.3395679 0.1387389 2.448 0.01438 *
    1213,1248c1213,1248
    < 1: d_y1_d_x1 0.4492866 0.3540678 1.269 0.20447
    < 1: d_y2_d_x1 0.2935576 0.1311409 2.238 0.02519 *
    < 1: d_y3_d_x1 -0.2616568 0.1796815 -1.456 0.14533
    < 1: d_y1_d_x2 -0.4419799 0.3243902 -1.362 0.17304
    < 1: d_y2_d_x2 -0.4386127 0.2158333 -2.032 0.04214 *
    < 1: d_y3_d_x2 0.3859215 0.1650275 2.339 0.01936 *
    < 2: d_y1_d_x1 0.3940224 0.3132629 1.258 0.20846
    < 2: d_y2_d_x1 0.3878021 0.2307105 1.681 0.09278 .
    < 2: d_y3_d_x1 -0.3179747 0.2736008 -1.162 0.24516
    < 2: d_y1_d_x2 -0.3876145 0.2065718 -1.876 0.06060 .
    < 2: d_y2_d_x2 -0.5794260 0.1858965 -3.117 0.00183 **
    < 2: d_y3_d_x2 0.4689856 0.2365998 1.982 0.04746 *
    < 3: d_y1_d_x1 0.1008641 0.1920788 0.525 0.59950
    < 3: d_y2_d_x1 0.3355752 0.2466123 1.361 0.17360
    < 3: d_y3_d_x1 -0.3005914 0.2315234 -1.298 0.19418
    < 3: d_y1_d_x2 -0.0992237 0.1770467 -0.560 0.57518
    < 3: d_y2_d_x2 -0.5013924 0.2693393 -1.862 0.06266 .
    < 3: d_y3_d_x2 0.4433467 0.2060273 2.152 0.03141 *
    < 4: d_y1_d_x1 0.4590369 0.3463807 1.325 0.18509
    < 4: d_y2_d_x1 0.1262490 0.1951119 0.647 0.51759
    < 4: d_y3_d_x1 -0.1506792 0.2145418 -0.702 0.48247
    < 4: d_y1_d_x2 -0.4515717 0.3746485 -1.205 0.22808
    < 4: d_y2_d_x2 -0.1886323 0.2443103 -0.772 0.44005
    < 4: d_y3_d_x2 0.2222390 0.1546783 1.437 0.15078
    < 5: d_y1_d_x1 0.0685262 0.1716249 0.399 0.68969
    < 5: d_y2_d_x1 0.2651417 0.1706492 1.554 0.12025
    < 5: d_y3_d_x1 -0.2608412 0.1682806 -1.550 0.12113
    < 5: d_y1_d_x2 -0.0674117 0.1591733 -0.424 0.67192
    < 5: d_y2_d_x2 -0.3961557 0.2128796 -1.861 0.06275 .
    < 5: d_y3_d_x2 0.3847186 0.1642950 2.342 0.01920 *
    < 6: d_y1_d_x1 0.4628921 0.3679124 1.258 0.20833
    < 6: d_y2_d_x1 0.0855760 0.1633669 0.524 0.60040
    < 6: d_y3_d_x1 -0.1167335 0.1854246 -0.630 0.52899
    < 6: d_y1_d_x2 -0.4553642 0.3715438 -1.226 0.22035
    < 6: d_y2_d_x2 -0.1278615 0.2191638 -0.583 0.55962
    < 6: d_y3_d_x2 0.1721719 0.1589760 1.083 0.27881
    ---
    > 1: d_y1_d_x1 0.4492866 0.3540597 1.269 0.20446
    > 1: d_y2_d_x1 0.2935576 0.1311406 2.238 0.02519 *
    > 1: d_y3_d_x1 -0.2616568 0.1797334 -1.456 0.14545
    > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
    > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
    > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
    > 2: d_y1_d_x1 0.3940224 0.3132860 1.258 0.20850
    > 2: d_y2_d_x1 0.3878021 0.2306484 1.681 0.09269 .
    > 2: d_y3_d_x1 -0.3179747 0.2736354 -1.162 0.24522
    > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
    > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
    > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
    > 3: d_y1_d_x1 0.1008641 0.1922854 0.525 0.59989
    > 3: d_y2_d_x1 0.3355752 0.2466029 1.361 0.17358
    > 3: d_y3_d_x1 -0.3005914 0.2316189 -1.298 0.19436
    > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
    > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
    > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
    > 4: d_y1_d_x1 0.4590369 0.3460873 1.326 0.18472
    > 4: d_y2_d_x1 0.1262490 0.1951262 0.647 0.51762
    > 4: d_y3_d_x1 -0.1506792 0.2145244 -0.702 0.48244
    > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
    > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
    > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
    > 5: d_y1_d_x1 0.0685262 0.1718947 0.399 0.69015
    > 5: d_y2_d_x1 0.2651417 0.1706556 1.554 0.12026
    > 5: d_y3_d_x1 -0.2608412 0.1682214 -1.551 0.12100
    > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
    > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
    > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
    > 6: d_y1_d_x1 0.4628921 0.3679524 1.258 0.20838
    > 6: d_y2_d_x1 0.0855760 0.1633725 0.524 0.60041
    > 6: d_y3_d_x1 -0.1167335 0.1854189 -0.630 0.52898
    > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
    > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
    > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
    1250,1251c1250,1251
    < 7: d_y2_d_x1 0.0040605 0.0128025 0.317 0.75112
    < 7: d_y3_d_x1 -0.0192503 0.0522274 -0.369 0.71244
    ---
    > 7: d_y2_d_x1 0.0040605 0.0127622 0.318 0.75036
    > 7: d_y3_d_x1 -0.0192503 0.0522359 -0.369 0.71248
    1253,1274c1253,1274
    < 7: d_y2_d_x2 -0.0060669 0.0202845 -0.299 0.76487
    < 7: d_y3_d_x2 0.0283926 0.0809092 0.351 0.72565
    < 8: d_y1_d_x1 0.4591792 0.3548306 1.294 0.19564
    < 8: d_y2_d_x1 0.1644286 0.1607775 1.023 0.30645
    < 8: d_y3_d_x1 -0.1771091 0.1040702 -1.702 0.08879 .
    < 8: d_y1_d_x2 -0.4517116 0.3779356 -1.195 0.23201
    < 8: d_y2_d_x2 -0.2456774 0.2896346 -0.848 0.39631
    < 8: d_y3_d_x2 0.2612208 0.1388854 1.881 0.05999 .
    < 9: d_y1_d_x1 0.4284797 0.3354646 1.277 0.20151
    < 9: d_y2_d_x1 0.3418824 0.1592568 2.147 0.03181 *
    < 9: d_y3_d_x1 -0.2906800 0.2235080 -1.301 0.19342
    < 9: d_y1_d_x2 -0.4215114 0.2734159 -1.542 0.12316
    < 9: d_y2_d_x2 -0.5108161 0.1768722 -2.888 0.00388 **
    < 9: d_y3_d_x2 0.4287282 0.1973726 2.172 0.02984 *
    < 10: d_y1_d_x1 0.4441739 0.3492204 1.272 0.20341
    < 10: d_y2_d_x1 0.3080759 0.1350357 2.281 0.02252 *
    < 10: d_y3_d_x1 -0.2704623 0.1920675 -1.408 0.15908
    < 10: d_y1_d_x2 -0.4369504 0.3108845 -1.406 0.15987
    < 10: d_y2_d_x2 -0.4603049 0.2026358 -2.272 0.02311 *
    < 10: d_y3_d_x2 0.3989088 0.1737348 2.296 0.02167 *
    < 11: d_y1_d_x1 0.2084940 0.1735014 1.202 0.22949
    < 11: d_y2_d_x1 0.4208561 0.3527171 1.193 0.23280
    ---
    > 7: d_y2_d_x2 -0.0060669 0.0202419 -0.300 0.76439
    > 7: d_y3_d_x2 0.0283926 0.0809208 0.351 0.72569
    > 8: d_y1_d_x1 0.4591792 0.3547693 1.294 0.19556
    > 8: d_y2_d_x1 0.1644286 0.1607414 1.023 0.30634
    > 8: d_y3_d_x1 -0.1771091 0.1040865 -1.702 0.08884 .
    > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
    > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
    > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
    > 9: d_y1_d_x1 0.4284797 0.3354146 1.277 0.20144
    > 9: d_y2_d_x1 0.3418824 0.1591856 2.148 0.03174 *
    > 9: d_y3_d_x1 -0.2906800 0.2235404 -1.300 0.19348
    > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
    > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
    > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
    > 10: d_y1_d_x1 0.4441739 0.3492171 1.272 0.20340
    > 10: d_y2_d_x1 0.3080759 0.1350329 2.281 0.02252 *
    > 10: d_y3_d_x1 -0.2704623 0.1920952 -1.408 0.15914
    > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
    > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
    > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
    > 11: d_y1_d_x1 0.2084940 0.1733247 1.203 0.22901
    > 11: d_y2_d_x1 0.4208561 0.3524522 1.194 0.23245
    1276,1277c1276,1277
    < 11: d_y1_d_x2 -0.2051033 0.1687856 -1.215 0.22430
    < 11: d_y2_d_x2 -0.6288130 0.2933111 -2.144 0.03205 *
    ---
    > 11: d_y1_d_x2 -0.2051033 0.1686940 -1.216 0.22405
    > 11: d_y2_d_x2 -0.6288130 0.2929760 -2.146 0.03185 *
    1279,1284c1279,1284
    < 12: d_y1_d_x1 0.0351580 0.1249864 0.281 0.77848
    < 12: d_y2_d_x1 0.1585722 0.0917898 1.728 0.08407 .
    < 12: d_y3_d_x1 -0.1903089 0.1047184 -1.817 0.06916 .
    < 12: d_y1_d_x2 -0.0345862 0.1171653 -0.295 0.76785
    < 12: d_y2_d_x2 -0.2369272 0.1551927 -1.527 0.12684
    < 12: d_y3_d_x2 0.2806895 0.1495095 1.877 0.06046 .
    ---
    > 12: d_y1_d_x1 0.0351580 0.1247792 0.282 0.77813
    > 12: d_y2_d_x1 0.1585722 0.0918439 1.727 0.08425 .
    > 12: d_y3_d_x1 -0.1903089 0.1047009 -1.818 0.06912 .
    > 12: d_y1_d_x2 -0.0345862 0.1169745 -0.296 0.76748
    > 12: d_y2_d_x2 -0.2369272 0.1553557 -1.525 0.12724
    > 12: d_y3_d_x2 0.2806895 0.1495365 1.877 0.06051 .
    1286,1287c1286,1287
    < 13: d_y2_d_x1 0.2221012 0.1322864 1.679 0.09316 .
    < 13: d_y3_d_x1 -0.2341238 0.1365662 -1.714 0.08646 .
    ---
    > 13: d_y2_d_x1 0.2221012 0.1321527 1.681 0.09283 .
    > 13: d_y3_d_x1 -0.2341238 0.1364993 -1.715 0.08631 .
    1289,1303c1289,1303
    < 13: d_y2_d_x2 -0.3318477 0.1849233 -1.795 0.07273 .
    < 13: d_y3_d_x2 0.3453127 0.1505090 2.294 0.02177 *
    < 14: d_y1_d_x1 0.0077455 0.0463291 0.167 0.86723
    < 14: d_y2_d_x1 0.0365310 0.0507344 0.720 0.47150
    < 14: d_y3_d_x1 -0.0763598 0.0949518 -0.804 0.42128
    < 14: d_y1_d_x2 -0.0076195 0.0440910 -0.173 0.86280
    < 14: d_y2_d_x2 -0.0545820 0.0867763 -0.629 0.52935
    < 14: d_y3_d_x2 0.1126242 0.1559778 0.722 0.47026
    < 15: d_y1_d_x1 0.0983928 0.2667012 0.369 0.71218
    < 15: d_y2_d_x1 0.1951304 0.2395884 0.814 0.41539
    < 15: d_y3_d_x1 -0.2185129 0.2611405 -0.837 0.40273
    < 15: d_y1_d_x2 -0.0967926 0.2197781 -0.440 0.65964
    < 15: d_y2_d_x2 -0.2915499 0.2033819 -1.434 0.15171
    < 15: d_y3_d_x2 0.3222879 0.1370785 2.351 0.01872 *
    < 16: d_y1_d_x1 0.1861029 0.1839949 1.011 0.31180
    ---
    > 13: d_y2_d_x2 -0.3318477 0.1847243 -1.796 0.07242 .
    > 13: d_y3_d_x2 0.3453127 0.1505415 2.294 0.02180 *
    > 14: d_y1_d_x1 0.0077455 0.0462115 0.168 0.86689
    > 14: d_y2_d_x1 0.0365310 0.0506660 0.721 0.47090
    > 14: d_y3_d_x1 -0.0763598 0.0949354 -0.804 0.42120
    > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
    > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
    > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
    > 15: d_y1_d_x1 0.0983928 0.2668037 0.369 0.71229
    > 15: d_y2_d_x1 0.1951304 0.2397581 0.814 0.41572
    > 15: d_y3_d_x1 -0.2185129 0.2611210 -0.837 0.40269
    > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
    > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
    > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
    > 16: d_y1_d_x1 0.1861029 0.1838931 1.012 0.31153
    1306c1306
    < 16: d_y1_d_x2 -0.1830764 0.1738322 -1.053 0.29226
    ---
    > 16: d_y1_d_x2 -0.1830764 0.1737741 -1.054 0.29210
    1309c1309
    < 17: d_y1_d_x1 0.2294750 0.1626875 1.411 0.15838
    ---
    > 17: d_y1_d_x1 0.2294750 0.1626257 1.411 0.15823
    1311,1312c1311,1312
    < 17: d_y3_d_x1 -0.3383323 0.3484537 -0.971 0.33157
    < 17: d_y1_d_x2 -0.2257431 0.1653520 -1.365 0.17218
    ---
    > 17: d_y3_d_x1 -0.3383323 0.3486058 -0.971 0.33178
    > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
    1314,1320c1314,1320
    < 17: d_y3_d_x2 0.4990113 0.2682226 1.860 0.06282 .
    < 18: d_y1_d_x1 0.4136571 0.3244729 1.275 0.20236
    < 18: d_y2_d_x1 0.3651229 0.1893238 1.929 0.05379 .
    < 18: d_y3_d_x1 -0.3044570 0.2474678 -1.230 0.21859
    < 18: d_y1_d_x2 -0.4069299 0.2421340 -1.681 0.09284 .
    < 18: d_y2_d_x2 -0.5455404 0.1716277 -3.179 0.00148 **
    < 18: d_y3_d_x2 0.4490482 0.2162778 2.076 0.03787 *
    ---
    > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
    > 18: d_y1_d_x1 0.4136571 0.3245288 1.275 0.20244
    > 18: d_y2_d_x1 0.3651229 0.1892800 1.929 0.05373 .
    > 18: d_y3_d_x1 -0.3044570 0.2474695 -1.230 0.21859
    > 18: d_y1_d_x2 -0.4069299 0.2423963 -1.679 0.09320 .
    > 18: d_y2_d_x2 -0.5455404 0.1716217 -3.179 0.00148 **
    > 18: d_y3_d_x2 0.4490482 0.2163669 2.075 0.03795 *
    1322,1323c1322,1323
    < 19: d_y2_d_x1 0.2936902 0.2677135 1.097 0.27263
    < 19: d_y3_d_x1 -0.2638173 0.3075795 -0.858 0.39105
    ---
    > 19: d_y2_d_x1 0.2936902 0.2677201 1.097 0.27264
    > 19: d_y3_d_x1 -0.2638173 0.3075951 -0.858 0.39107
    1325,1350c1325,1350
    < 19: d_y2_d_x2 -0.4388109 0.1792214 -2.448 0.01435 *
    < 19: d_y3_d_x2 0.3891081 0.1720502 2.262 0.02372 *
    < 20: d_y1_d_x1 0.0907767 0.1780305 0.510 0.61013
    < 20: d_y2_d_x1 0.0004808 0.0035022 0.137 0.89081
    < 20: d_y3_d_x1 -0.0039026 0.0167883 -0.232 0.81618
    < 20: d_y1_d_x2 -0.0893004 0.1579512 -0.565 0.57182
    < 20: d_y2_d_x2 -0.0007183 0.0053674 -0.134 0.89353
    < 20: d_y3_d_x2 0.0057560 0.0253309 0.227 0.82024
    < 21: d_y1_d_x1 0.2537931 0.3084522 0.823 0.41062
    < 21: d_y2_d_x1 0.3992862 0.3937521 1.014 0.31056
    < 21: d_y3_d_x1 -0.3331994 0.3472491 -0.960 0.33729
    < 21: d_y1_d_x2 -0.2496657 0.1727688 -1.445 0.14843
    < 21: d_y2_d_x2 -0.5965848 0.3367888 -1.771 0.07650 .
    < 21: d_y3_d_x2 0.4914407 0.2550038 1.927 0.05396 .
    < 22: d_y1_d_x1 0.0030125 0.0259221 0.116 0.90748
    < 22: d_y2_d_x1 0.0025944 0.0096183 0.270 0.78736
    < 22: d_y3_d_x1 -0.0149288 0.0516058 -0.289 0.77236
    < 22: d_y1_d_x2 -0.0029635 0.0244227 -0.121 0.90342
    < 22: d_y2_d_x2 -0.0038764 0.0136779 -0.283 0.77686
    < 22: d_y3_d_x2 0.0220188 0.0686872 0.321 0.74854
    < 23: d_y1_d_x1 0.3839298 0.2322367 1.653 0.09829 .
    < 23: d_y2_d_x1 0.0530957 0.1200921 0.442 0.65840
    < 23: d_y3_d_x1 -0.0838742 0.0921645 -0.910 0.36280
    < 23: d_y1_d_x2 -0.3776861 0.2688946 -1.405 0.16014
    < 23: d_y2_d_x2 -0.0793318 0.1962429 -0.404 0.68603
    < 23: d_y3_d_x2 0.1237074 0.1476669 0.838 0.40217
    ---
    > 19: d_y2_d_x2 -0.4388109 0.1792273 -2.448 0.01435 *
    > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
    > 20: d_y1_d_x1 0.0907767 0.1780308 0.510 0.61013
    > 20: d_y2_d_x1 0.0004808 0.0035019 0.137 0.89080
    > 20: d_y3_d_x1 -0.0039026 0.0168379 -0.232 0.81671
    > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
    > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
    > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
    > 21: d_y1_d_x1 0.2537931 0.3084248 0.823 0.41058
    > 21: d_y2_d_x1 0.3992862 0.3938352 1.014 0.31066
    > 21: d_y3_d_x1 -0.3331994 0.3472876 -0.959 0.33734
    > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
    > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
    > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
    > 22: d_y1_d_x1 0.0030125 0.0260178 0.116 0.90782
    > 22: d_y2_d_x1 0.0025944 0.0095680 0.271 0.78627
    > 22: d_y3_d_x1 -0.0149288 0.0516028 -0.289 0.77235
    > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
    > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
    > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
    > 23: d_y1_d_x1 0.3839298 0.2322611 1.653 0.09833 .
    > 23: d_y2_d_x1 0.0530957 0.1200950 0.442 0.65841
    > 23: d_y3_d_x1 -0.0838742 0.0922399 -0.909 0.36319
    > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
    > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
    > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
    1352,1353c1352,1353
    < 24: d_y2_d_x1 0.3366256 0.3679739 0.915 0.36029
    < 24: d_y3_d_x1 -0.3027792 0.3293422 -0.919 0.35792
    ---
    > 24: d_y2_d_x1 0.3366256 0.3680215 0.915 0.36035
    > 24: d_y3_d_x1 -0.3027792 0.3293934 -0.919 0.35799
    1355,1356c1355,1356
    < 24: d_y2_d_x2 -0.5029618 0.3121701 -1.611 0.10714
    < 24: d_y3_d_x2 0.4465735 0.2030341 2.200 0.02784 *
    ---
    > 24: d_y2_d_x2 -0.5029618 0.3122748 -1.611 0.10726
    > 24: d_y3_d_x2 0.4465735 0.2031295 2.198 0.02792 *
    1358,1359c1358,1359
    < 25: d_y2_d_x1 0.3440335 0.3732120 0.922 0.35662
    < 25: d_y3_d_x1 -0.3066217 0.3322979 -0.923 0.35615
    ---
    > 25: d_y2_d_x1 0.3440335 0.3731768 0.922 0.35658
    > 25: d_y3_d_x1 -0.3066217 0.3323178 -0.923 0.35618
    1361,1364c1361,1364
    < 25: d_y2_d_x2 -0.5140301 0.3173340 -1.620 0.10527
    < 25: d_y3_d_x2 0.4522409 0.2089410 2.164 0.03043 *
    < 26: d_y1_d_x1 0.3785419 0.2252751 1.680 0.09289 .
    < 26: d_y2_d_x1 0.0497991 0.1162444 0.428 0.66836
    ---
    > 25: d_y2_d_x2 -0.5140301 0.3173040 -1.620 0.10523
    > 25: d_y3_d_x2 0.4522409 0.2089671 2.164 0.03045 *
    > 26: d_y1_d_x1 0.3785419 0.2252087 1.681 0.09279 .
    > 26: d_y2_d_x1 0.0497991 0.1162620 0.428 0.66841
    1366,1367c1366,1367
    < 26: d_y1_d_x2 -0.3723857 0.2611658 -1.426 0.15391
    < 26: d_y2_d_x2 -0.0744062 0.1894331 -0.393 0.69448
    ---
    > 26: d_y1_d_x2 -0.3723857 0.2610610 -1.426 0.15374
    > 26: d_y2_d_x2 -0.0744062 0.1894584 -0.393 0.69452
    1369,1380c1369,1380
    < 27: d_y1_d_x1 0.0599317 0.1629371 0.368 0.71301
    < 27: d_y2_d_x1 0.2414198 0.1484563 1.626 0.10391
    < 27: d_y3_d_x1 -0.2463698 0.1499420 -1.643 0.10036
    < 27: d_y1_d_x2 -0.0589571 0.1514786 -0.389 0.69712
    < 27: d_y2_d_x2 -0.3607121 0.1965385 -1.835 0.06646 .
    < 27: d_y3_d_x2 0.3633744 0.1554090 2.338 0.01938 *
    < 28: d_y1_d_x1 0.0038965 0.0274373 0.142 0.88707
    < 28: d_y2_d_x1 0.0171661 0.0338073 0.508 0.61162
    < 28: d_y3_d_x1 -0.0475933 0.0826935 -0.576 0.56493
    < 28: d_y1_d_x2 -0.0038331 0.0262155 -0.146 0.88375
    < 28: d_y2_d_x2 -0.0256483 0.0556466 -0.461 0.64486
    < 28: d_y3_d_x2 0.0701960 0.1320780 0.531 0.59509
    ---
    > 27: d_y1_d_x1 0.0599317 0.1626478 0.368 0.71252
    > 27: d_y2_d_x1 0.2414198 0.1485489 1.625 0.10412
    > 27: d_y3_d_x1 -0.2463698 0.1499776 -1.643 0.10044
    > 27: d_y1_d_x2 -0.0589571 0.1511973 -0.390 0.69658
    > 27: d_y2_d_x2 -0.3607121 0.1966482 -1.834 0.06661 .
    > 27: d_y3_d_x2 0.3633744 0.1553877 2.339 0.01936 *
    > 28: d_y1_d_x1 0.0038965 0.0277859 0.140 0.88848
    > 28: d_y2_d_x1 0.0171661 0.0338585 0.507 0.61216
    > 28: d_y3_d_x1 -0.0475933 0.0827103 -0.575 0.56501
    > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
    > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
    > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
    1382,1383c1382,1383
    < 29: d_y2_d_x1 0.3211739 0.1417393 2.266 0.02345 *
    < 29: d_y3_d_x1 -0.2783356 0.2037939 -1.366 0.17201
    ---
    > 29: d_y2_d_x1 0.3211739 0.1417537 2.266 0.02347 *
    > 29: d_y3_d_x1 -0.2783356 0.2038223 -1.366 0.17207
    1385,1386c1385,1386
    < 29: d_y2_d_x2 -0.4798749 0.1913586 -2.508 0.01215 *
    < 29: d_y3_d_x2 0.4105213 0.1822838 2.252 0.02432 *
    ---
    > 29: d_y2_d_x2 -0.4798749 0.1912621 -2.509 0.01211 *
    > 29: d_y3_d_x2 0.4105213 0.1822638 2.252 0.02430 *
    1389c1389
    < 30: d_y3_d_x1 -0.2808737 0.1977070 -1.421 0.15542
    ---
    > 30: d_y3_d_x1 -0.2808737 0.1977175 -1.421 0.15544
    1392,1394c1392,1394
    < 30: d_y3_d_x2 0.4142648 0.1823351 2.272 0.02309 *
    < 31: d_y1_d_x1 0.1109654 0.1951061 0.569 0.56953
    < 31: d_y2_d_x1 0.3523061 0.2664481 1.322 0.18609
    ---
    > 30: d_y3_d_x2 0.4142648 0.1822614 2.273 0.02303 *
    > 31: d_y1_d_x1 0.1109654 0.1949650 0.569 0.56925
    > 31: d_y2_d_x1 0.3523061 0.2665386 1.322 0.18624
    1396,1397c1396,1397
    < 31: d_y1_d_x2 -0.1091608 0.1796551 -0.608 0.54344
    < 31: d_y2_d_x2 -0.5263905 0.2832873 -1.858 0.06315 .
    ---
    > 31: d_y1_d_x2 -0.1091608 0.1794793 -0.608 0.54305
    > 31: d_y2_d_x2 -0.5263905 0.2833821 -1.858 0.06324 .
    1399,1416c1399,1416
    < 32: d_y1_d_x1 0.4610436 0.3649544 1.263 0.20648
    < 32: d_y2_d_x1 0.2407803 0.1384867 1.739 0.08210 .
    < 32: d_y3_d_x1 -0.2287085 0.1405709 -1.627 0.10374
    < 32: d_y1_d_x2 -0.4535457 0.3611636 -1.256 0.20919
    < 32: d_y2_d_x2 -0.3597567 0.2602254 -1.382 0.16682
    < 32: d_y3_d_x2 0.3373256 0.1428554 2.361 0.01821 *
    < 33: d_y1_d_x1 0.0489118 0.1485280 0.329 0.74192
    < 33: d_y2_d_x1 0.2073988 0.1209356 1.715 0.08635 .
    < 33: d_y3_d_x1 -0.2244998 0.1272588 -1.764 0.07771 .
    < 33: d_y1_d_x2 -0.0481163 0.1385520 -0.347 0.72838
    < 33: d_y2_d_x2 -0.3098804 0.1767024 -1.754 0.07948 .
    < 33: d_y3_d_x2 0.3311181 0.1482967 2.233 0.02556 *
    < 34: d_y1_d_x1 0.2918467 0.1403631 2.079 0.03760 *
    < 34: d_y2_d_x1 0.3868975 0.3239901 1.194 0.23241
    < 34: d_y3_d_x1 -0.3187254 0.3474763 -0.917 0.35901
    < 34: d_y1_d_x2 -0.2871005 0.1750356 -1.640 0.10096
    < 34: d_y2_d_x2 -0.5780745 0.1937750 -2.983 0.00285 **
    < 34: d_y3_d_x2 0.4700927 0.2377506 1.977 0.04801 *
    ---
    > 32: d_y1_d_x1 0.4610436 0.3649767 1.263 0.20651
    > 32: d_y2_d_x1 0.2407803 0.1384474 1.739 0.08201 .
    > 32: d_y3_d_x1 -0.2287085 0.1405512 -1.627 0.10369
    > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
    > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
    > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
    > 33: d_y1_d_x1 0.0489118 0.1487038 0.329 0.74222
    > 33: d_y2_d_x1 0.2073988 0.1208362 1.716 0.08610 .
    > 33: d_y3_d_x1 -0.2244998 0.1272792 -1.764 0.07776 .
    > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
    > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
    > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
    > 34: d_y1_d_x1 0.2918467 0.1402138 2.081 0.03739 *
    > 34: d_y2_d_x1 0.3868975 0.3240208 1.194 0.23246
    > 34: d_y3_d_x1 -0.3187254 0.3475035 -0.917 0.35905
    > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
    > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
    > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
    1418,1419c1418,1419
    < 35: d_y2_d_x1 0.2672640 0.1726828 1.548 0.12169
    < 35: d_y3_d_x1 -0.2621075 0.1699755 -1.542 0.12307
    ---
    > 35: d_y2_d_x1 0.2672640 0.1725973 1.548 0.12151
    > 35: d_y3_d_x1 -0.2621075 0.1699692 -1.542 0.12305
    1421,1442c1421,1442
    < 35: d_y2_d_x2 -0.3993267 0.2143439 -1.863 0.06246 .
    < 35: d_y3_d_x2 0.3865862 0.1652919 2.339 0.01935 *
    < 36: d_y1_d_x1 0.1942907 0.1800849 1.079 0.28064
    < 36: d_y2_d_x1 0.4194379 0.3502758 1.197 0.23113
    < 36: d_y3_d_x1 -0.3405594 0.3351689 -1.016 0.30959
    < 36: d_y1_d_x2 -0.1911310 0.1716830 -1.113 0.26559
    < 36: d_y2_d_x2 -0.6266940 0.3039526 -2.062 0.03923 *
    < 36: d_y3_d_x2 0.5022961 0.2709748 1.854 0.06379 .
    < 37: d_y1_d_x1 0.4196328 0.2611133 1.607 0.10803
    < 37: d_y2_d_x1 0.2239110 0.2400574 0.933 0.35095
    < 37: d_y3_d_x1 -0.2200429 0.2714530 -0.811 0.41759
    < 37: d_y1_d_x2 -0.4128084 0.3172499 -1.301 0.19319
    < 37: d_y2_d_x2 -0.3345518 0.2260346 -1.480 0.13885
    < 37: d_y3_d_x2 0.3245445 0.1492062 2.175 0.02962 *
    < 38: d_y1_d_x1 0.4628216 0.3657933 1.265 0.20578
    < 38: d_y2_d_x1 0.2208904 0.1452715 1.521 0.12838
    < 38: d_y3_d_x1 -0.2158009 0.1284540 -1.680 0.09296 .
    < 38: d_y1_d_x2 -0.4552948 0.3701153 -1.230 0.21864
    < 38: d_y2_d_x2 -0.3300386 0.2729325 -1.209 0.22657
    < 38: d_y3_d_x2 0.3182879 0.1388773 2.292 0.02191 *
    < 39: d_y1_d_x1 0.3066097 0.3010065 1.019 0.30839
    < 39: d_y2_d_x1 0.4199995 0.3658953 1.148 0.25102
    ---
    > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
    > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
    > 36: d_y1_d_x1 0.1942907 0.1801413 1.079 0.28079
    > 36: d_y2_d_x1 0.4194379 0.3501349 1.198 0.23094
    > 36: d_y3_d_x1 -0.3405594 0.3351504 -1.016 0.30956
    > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
    > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
    > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
    > 37: d_y1_d_x1 0.4196328 0.2610018 1.608 0.10788
    > 37: d_y2_d_x1 0.2239110 0.2400895 0.933 0.35102
    > 37: d_y3_d_x1 -0.2200429 0.2714789 -0.811 0.41763
    > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
    > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
    > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
    > 38: d_y1_d_x1 0.4628216 0.3657665 1.265 0.20575
    > 38: d_y2_d_x1 0.2208904 0.1452555 1.521 0.12833
    > 38: d_y3_d_x1 -0.2158009 0.1284410 -1.680 0.09293 .
    > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
    > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
    > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
    > 39: d_y1_d_x1 0.3066097 0.3008442 1.019 0.30812
    > 39: d_y2_d_x1 0.4199995 0.3659529 1.148 0.25110
    1444,1445c1444,1445
    < 39: d_y1_d_x2 -0.3016233 0.1439206 -2.096 0.03610 *
    < 39: d_y2_d_x2 -0.6275330 0.3060228 -2.051 0.04031 *
    ---
    > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
    > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
    1447,1471c1447,1471
    < 40: d_y1_d_x1 0.3427522 0.1856806 1.846 0.06490 .
    < 40: d_y2_d_x1 0.0327138 0.0916152 0.357 0.72103
    < 40: d_y3_d_x1 -0.0610294 0.0860192 -0.709 0.47802
    < 40: d_y1_d_x2 -0.3371781 0.2125076 -1.587 0.11259
    < 40: d_y2_d_x2 -0.0488786 0.1471128 -0.332 0.73970
    < 40: d_y3_d_x2 0.0900131 0.1364140 0.660 0.50935
    < 41: d_y1_d_x1 0.3871927 0.2366250 1.636 0.10177
    < 41: d_y2_d_x1 0.0552104 0.1224819 0.451 0.65216
    < 41: d_y3_d_x1 -0.0860563 0.0925055 -0.930 0.35222
    < 41: d_y1_d_x2 -0.3808958 0.2737255 -1.392 0.16407
    < 41: d_y2_d_x2 -0.0824913 0.2005016 -0.411 0.68076
    < 41: d_y3_d_x2 0.1269258 0.1482328 0.856 0.39185
    < 42: d_y1_d_x1 0.4612913 0.3593962 1.284 0.19931
    < 42: d_y2_d_x1 0.1775253 0.1583236 1.121 0.26217
    < 42: d_y3_d_x1 -0.1864022 0.1083157 -1.721 0.08527 .
    < 42: d_y1_d_x2 -0.4537894 0.3786515 -1.198 0.23075
    < 42: d_y2_d_x2 -0.2652456 0.2886306 -0.919 0.35811
    < 42: d_y3_d_x2 0.2749274 0.1376581 1.997 0.04581 *
    < 43: d_y1_d_x1 0.4473813 0.3522044 1.270 0.20400
    < 43: d_y2_d_x1 0.2992639 0.1322638 2.263 0.02366 *
    < 43: d_y3_d_x1 -0.2651285 0.1845178 -1.437 0.15075
    < 43: d_y1_d_x2 -0.4401057 0.3191515 -1.379 0.16790
    < 43: d_y2_d_x2 -0.4471386 0.2106246 -2.123 0.03376 *
    < 43: d_y3_d_x2 0.3910420 0.1682400 2.324 0.02011 *
    < 44: d_y1_d_x1 0.0251250 0.1025406 0.245 0.80644
    ---
    > 40: d_y1_d_x1 0.3427522 0.1856809 1.846 0.06490 .
    > 40: d_y2_d_x1 0.0327138 0.0916114 0.357 0.72102
    > 40: d_y3_d_x1 -0.0610294 0.0860418 -0.709 0.47814
    > 40: d_y1_d_x2 -0.3371781 0.2125041 -1.587 0.11258
    > 40: d_y2_d_x2 -0.0488786 0.1471075 -0.332 0.73969
    > 40: d_y3_d_x2 0.0900131 0.1364710 0.660 0.50953
    > 41: d_y1_d_x1 0.3871927 0.2366496 1.636 0.10181
    > 41: d_y2_d_x1 0.0552104 0.1224868 0.451 0.65217
    > 41: d_y3_d_x1 -0.0860563 0.0924706 -0.931 0.35204
    > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
    > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
    > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
    > 42: d_y1_d_x1 0.4612913 0.3593365 1.284 0.19924
    > 42: d_y2_d_x1 0.1775253 0.1583049 1.121 0.26211
    > 42: d_y3_d_x1 -0.1864022 0.1083052 -1.721 0.08524 .
    > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
    > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
    > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
    > 43: d_y1_d_x1 0.4473813 0.3521982 1.270 0.20399
    > 43: d_y2_d_x1 0.2992639 0.1322582 2.263 0.02365 *
    > 43: d_y3_d_x1 -0.2651285 0.1845443 -1.437 0.15081
    > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
    > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
    > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
    > 44: d_y1_d_x1 0.0251250 0.1028008 0.244 0.80692
    1473,1474c1473,1474
    < 44: d_y3_d_x1 -0.1584480 0.0970367 -1.633 0.10250
    < 44: d_y1_d_x2 -0.0247164 0.0965276 -0.256 0.79791
    ---
    > 44: d_y3_d_x1 -0.1584480 0.0970460 -1.633 0.10253
    > 44: d_y1_d_x2 -0.0247164 0.0967978 -0.255 0.79846
    1476,1496c1476,1496
    < 44: d_y3_d_x2 0.2336972 0.1571964 1.487 0.13711
    < 45: d_y1_d_x1 0.4584600 0.3444385 1.331 0.18318
    < 45: d_y2_d_x1 0.1287179 0.1966795 0.654 0.51282
    < 45: d_y3_d_x1 -0.1526113 0.2161094 -0.706 0.48008
    < 45: d_y1_d_x2 -0.4510042 0.3738209 -1.206 0.22764
    < 45: d_y2_d_x2 -0.1923211 0.2450674 -0.785 0.43259
    < 45: d_y3_d_x2 0.2250886 0.1542462 1.459 0.14449
    < 46: d_y1_d_x1 0.2196198 0.3122747 0.703 0.48187
    < 46: d_y2_d_x1 0.3720376 0.3888614 0.957 0.33870
    < 46: d_y3_d_x1 -0.3206175 0.3419218 -0.938 0.34840
    < 46: d_y1_d_x2 -0.2160482 0.1969100 -1.097 0.27256
    < 46: d_y2_d_x2 -0.5558719 0.3325529 -1.672 0.09462 .
    < 46: d_y3_d_x2 0.4728836 0.2319700 2.039 0.04149 *
    < 47: d_y1_d_x1 0.0675667 0.1625185 0.416 0.67759
    < 47: d_y2_d_x1 0.0002118 0.0017222 0.123 0.90212
    < 47: d_y3_d_x1 -0.0022930 0.0111671 -0.205 0.83731
    < 47: d_y1_d_x2 -0.0664679 0.1464373 -0.454 0.64990
    < 47: d_y2_d_x2 -0.0003165 0.0026316 -0.120 0.90428
    < 47: d_y3_d_x2 0.0033819 0.0167962 0.201 0.84042
    < 48: d_y1_d_x1 0.2215763 0.1639827 1.351 0.17663
    < 48: d_y2_d_x1 0.0069406 0.0311004 0.223 0.82340
    ---
    > 44: d_y3_d_x2 0.2336972 0.1572143 1.486 0.13715
    > 45: d_y1_d_x1 0.4584600 0.3445850 1.330 0.18336
    > 45: d_y2_d_x1 0.1287179 0.1966903 0.654 0.51284
    > 45: d_y3_d_x1 -0.1526113 0.2160522 -0.706 0.47996
    > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
    > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
    > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
    > 46: d_y1_d_x1 0.2196198 0.3120953 0.704 0.48162
    > 46: d_y2_d_x1 0.3720376 0.3890813 0.956 0.33897
    > 46: d_y3_d_x1 -0.3206175 0.3418885 -0.938 0.34836
    > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
    > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
    > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
    > 47: d_y1_d_x1 0.0675667 0.1625237 0.416 0.67760
    > 47: d_y2_d_x1 0.0002118 0.0017223 0.123 0.90213
    > 47: d_y3_d_x1 -0.0022930 0.0111918 -0.205 0.83767
    > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
    > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
    > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
    > 48: d_y1_d_x1 0.2215763 0.1639738 1.351 0.17660
    > 48: d_y2_d_x1 0.0069406 0.0311010 0.223 0.82341
    1498,1499c1498,1499
    < 48: d_y1_d_x2 -0.2179729 0.1421700 -1.533 0.12523
    < 48: d_y2_d_x2 -0.0103702 0.0485404 -0.214 0.83083
    ---
    > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
    > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
    1501c1501
    < 49: d_y1_d_x1 0.0670193 0.1704267 0.393 0.69414
    ---
    > 49: d_y1_d_x1 0.0670193 0.1703452 0.393 0.69400
    1503,1504c1503,1504
    < 49: d_y3_d_x1 -0.2584476 0.1649950 -1.566 0.11726
    < 49: d_y1_d_x2 -0.0659294 0.1581360 -0.417 0.67674
    ---
    > 49: d_y3_d_x1 -0.2584476 0.1650362 -1.566 0.11735
    > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
    1506,1512c1506,1512
    < 49: d_y3_d_x2 0.3811881 0.1626010 2.344 0.01906 *
    < 50: d_y1_d_x1 0.1076446 0.2757446 0.390 0.69626
    < 50: d_y2_d_x1 0.2126782 0.2572278 0.827 0.40835
    < 50: d_y3_d_x1 -0.2302289 0.2704473 -0.851 0.39461
    < 50: d_y1_d_x2 -0.1058940 0.2240882 -0.473 0.63653
    < 50: d_y2_d_x2 -0.3177685 0.2165177 -1.468 0.14220
    < 50: d_y3_d_x2 0.3395679 0.1387443 2.447 0.01439 *
    ---
    > 49: d_y3_d_x2 0.3811881 0.1625644 2.345 0.01904 *
    > 50: d_y1_d_x1 0.1076446 0.2756419 0.391 0.69615
    > 50: d_y2_d_x1 0.2126782 0.2570757 0.827 0.40807
    > 50: d_y3_d_x1 -0.2302289 0.2704463 -0.851 0.39461
    > 50: d_y1_d_x2 -0.1058940 0.2239865 -0.473 0.63638
    > 50: d_y2_d_x2 -0.3177685 0.2162648 -1.469 0.14174
    > 50: d_y3_d_x2 0.3395679 0.1387389 2.448 0.01438 *
    1841,1842c1841,1842
    < 50 0.02028810 -0.002813578 -0.001572159 -0.031757991 0.0142317500 0.002396771
    < mean 0.02205528 -0.007930409 -0.001681515 0.002256074 0.0008255892 0.002958194
    ---
    > 50 0.02028810 -0.002813578 -0.001572159 -0.031743940 0.0142068618 0.002395896
    > mean 0.02205528 -0.007930409 -0.001681515 0.002256626 0.0008256098 0.002957937
    1846,1848c1846,1851
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
    < 50 -0.002813578 0.01144533 -0.006468166 0.005125804 -0.02030300 0.003781461
    < mean -0.007930409 0.02591722 0.006303994 -0.001478894 0.00258479 -0.005399608
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
    > 50 -0.002813578 0.01144533 -0.006468166 0.005122685 -0.020284870
    > mean -0.007930409 0.02591722 0.006303994 -0.001479403 0.002586458
    > d_y3_d_x2
    > 50 0.003782239
    > mean -0.005399069
    1853,1854c1856,1857
    < 50 -0.001572159 -0.006468166 0.02121735 0.002632895 0.008923884
    < mean -0.001681515 0.006303994 0.03729586 -0.001273300 -0.002646587
    ---
    > 50 -0.001572159 -0.006468166 0.02121735 0.002631792 0.008918785
    > mean -0.001681515 0.006303994 0.03729586 -0.001273756 -0.002646520
    1856,1857c1859,1860
    < 50 -0.015841659
    < mean 0.002036527
    ---
    > 50 -0.015842908
    > mean 0.002036567
    1862,1863c1865,1866
    < 50 -0.031757991 0.005125804 0.002632895 0.050215500 -0.0241812828
    < mean 0.002256074 -0.001478894 -0.001273300 0.005157501 0.0005431144
    ---
    > 50 -0.031743940 0.005122685 0.002631792 0.050169955 -0.0241270415
    > mean 0.002256626 -0.001479403 -0.001273756 0.005158698 0.0005432138
    1865,1866c1868,1869
    < 50 -0.003701215
    < mean 0.001211294
    ---
    > 50 -0.003698285
    > mean 0.001211321
    1871,1872c1874,1875
    < 50 0.0142317500 -0.02030300 0.008923884 -0.0241812828 0.046879898
    < mean 0.0008255892 0.00258479 -0.002646587 0.0005431144 0.001988422
    ---
    > 50 0.0142068618 -0.020284870 0.008918785 -0.0241270415 0.046770483
    > mean 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.001989406
    1874,1875c1877,1878
    < 50 -0.00481588
    < mean -0.00109297
    ---
    > 50 -0.004816119
    > mean -0.001093343
    1879,1881c1882,1887
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
    < 50 0.002396771 0.003781461 -0.015841659 -0.003701215 -0.00481588 0.019249970
    < mean 0.002958194 -0.005399608 0.002036527 0.001211294 -0.00109297 0.005236038
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
    > 50 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
    > mean 0.002957937 -0.005399069 0.002036567 0.001211321 -0.001093343
    > d_y3_d_x2
    > 50 0.019248488
    > mean 0.005235179
    1885,1890c1891,1896
    < d_y1_d_x1 0.0220552769 -0.007930409 -0.001681515 0.0022560736 0.0008255892
    < d_y2_d_x1 -0.0079304092 0.025917223 0.006303994 -0.0014788937 0.0025847902
    < d_y3_d_x1 -0.0016815147 0.006303994 0.037295860 -0.0012733004 -0.0026465872
    < d_y1_d_x2 0.0022560736 -0.001478894 -0.001273300 0.0051575010 0.0005431144
    < d_y2_d_x2 0.0008255892 0.002584790 -0.002646587 0.0005431144 0.0019884216
    < d_y3_d_x2 0.0029581944 -0.005399608 0.002036527 0.0012112936 -0.0010929704
    ---
    > d_y1_d_x1 0.0220552769 -0.007930409 -0.001681515 0.0022566258 0.0008256098
    > d_y2_d_x1 -0.0079304093 0.025917223 0.006303994 -0.0014794032 0.0025864581
    > d_y3_d_x1 -0.0016815147 0.006303994 0.037295860 -0.0012737564 -0.0026465199
    > d_y1_d_x2 0.0022566258 -0.001479403 -0.001273756 0.0051586985 0.0005432138
    > d_y2_d_x2 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.0019894058
    > d_y3_d_x2 0.0029579367 -0.005399069 0.002036567 0.0012113215 -0.0010933427
    1892,1897c1898,1903
    < d_y1_d_x1 0.002958194
    < d_y2_d_x1 -0.005399608
    < d_y3_d_x1 0.002036527
    < d_y1_d_x2 0.001211294
    < d_y2_d_x2 -0.001092970
    < d_y3_d_x2 0.005236038
    ---
    > d_y1_d_x1 0.002957937
    > d_y2_d_x1 -0.005399069
    > d_y3_d_x1 0.002036567
    > d_y1_d_x2 0.001211321
    > d_y2_d_x2 -0.001093343
    > d_y3_d_x2 0.005235179
    1904,1905c1910,1911
    < 50 -0.08621442 0 0 0.18094552 0 0
    < mean -0.11555729 0 0 0.08870784 0 0
    ---
    > 50 -0.08621442 0 0 0.18081872 0 0
    > mean -0.11555729 0 0 0.08871062 0 0
    1910,1911c1916,1917
    < 50 0.00650226 0 0 0.00000000 0 0
    < mean 0.15476204 0 0 0.06485635 0 0
    ---
    > 50 0.006502259 0 0 0.00000000 0 0
    > mean 0.154762044 0 0 0.06486142 0 0
    1917c1923
    < mean 0.05335740 0 0 0.16350292 0 0
    ---
    > mean 0.05335740 0 0 0.16351750 0 0
    1922,1923c1928,1929
    < 50 0 -0.167907668 0 0 0.371520183 0
    < mean 0 0.003481499 0 0 -0.001758468 0
    ---
    > 50 0 -0.167907668 0 0 0.371170187 0
    > mean 0 0.003481499 0 0 -0.001743184 0
    1928,1929c1934,1935
    < 50 0 0.03369144 0 0 0.0000000 0
    < mean 0 0.22633598 0 0 0.0474537 0
    ---
    > 50 0 0.03369144 0 0 0.00000000 0
    > mean 0 0.22633598 0 0 0.04748192 0
    1935c1941
    < mean 0 0.0907140 0 0 0.08274885 0
    ---
    > mean 0 0.0907140 0 0 0.08276367 0
    1941c1947
    < mean 0 0 0.01121233 0 0 -0.01301998
    ---
    > mean 0 0 0.01121233 0 0 -0.01301531
    1947c1953
    < mean 0 0 0.26243481 0 0 0.03619004
    ---
    > mean 0 0 0.26243481 0 0 0.03619013
    1952,1953c1958,1959
    < 50 0 0 0.18649349 0 0 -0.03893892
    < mean 0 0 0.08964001 0 0 0.12387526
    ---
    > 50 0 0 0.18649349 0 0 -0.03897388
    > mean 0 0 0.08964001 0 0 0.12386551
    1975,1980c1981,1986
    < d_y1_d_x1 -0.11555729 0.15476204 0.0533574 0.000000000 0.0000000 0.00000000
    < d_y2_d_x1 0.00000000 0.00000000 0.0000000 0.003481499 0.2263360 0.09071400
    < d_y3_d_x1 0.00000000 0.00000000 0.0000000 0.000000000 0.0000000 0.00000000
    < d_y1_d_x2 0.08870784 0.06485635 0.1635029 0.000000000 0.0000000 0.00000000
    < d_y2_d_x2 0.00000000 0.00000000 0.0000000 -0.001758468 0.0474537 0.08274885
    < d_y3_d_x2 0.00000000 0.00000000 0.0000000 0.000000000 0.0000000 0.00000000
    ---
    > d_y1_d_x1 -0.11555729 0.15476204 0.0533574 0.000000000 0.00000000 0.00000000
    > d_y2_d_x1 0.00000000 0.00000000 0.0000000 0.003481499 0.22633598 0.09071400
    > d_y3_d_x1 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
    > d_y1_d_x2 0.08871062 0.06486142 0.1635175 0.000000000 0.00000000 0.00000000
    > d_y2_d_x2 0.00000000 0.00000000 0.0000000 -0.001743184 0.04748192 0.08276367
    > d_y3_d_x2 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
    1987c1993
    < d_y3_d_x2 -0.01301998 0.03619004 0.12387526 0 0 0
    ---
    > d_y3_d_x2 -0.01301531 0.03619013 0.12386551 0 0 0
    1996,1998c2002,2004
    < 50: d_y1_d_x2 -0.105894 0.224088 -0.4726 0.6365305
    < 50: d_y2_d_x2 -0.317768 0.216518 -1.4676 0.1422039
    < 50: d_y3_d_x2 0.339568 0.138744 2.4474 0.0143876 *
    ---
    > 50: d_y1_d_x2 -0.105894 0.223987 -0.4728 0.6363775
    > 50: d_y2_d_x2 -0.317768 0.216265 -1.4693 0.1417382
    > 50: d_y3_d_x2 0.339568 0.138739 2.4475 0.0143838 *
    2002,2004c2008,2010
    < mean: d_y1_d_x2 -0.238531 0.071816 -3.3214 0.0008956 ***
    < mean: d_y2_d_x2 -0.337946 0.044592 -7.5787 3.491e-14 ***
    < mean: d_y3_d_x2 0.314311 0.072360 4.3437 1.401e-05 ***
    ---
    > mean: d_y1_d_x2 -0.238531 0.071824 -3.3210 0.0008968 ***
    > mean: d_y2_d_x2 -0.337946 0.044603 -7.5768 3.542e-14 ***
    > mean: d_y3_d_x2 0.314311 0.072355 4.3440 1.399e-05 ***
    2015,2017c2021,2023
    < d_y1_d_x2 -0.2967 0.1257 -2.360 0.0183 *
    < d_y2_d_x2 -0.6194 0.2475 -2.503 0.0123 *
    < d_y3_d_x2 0.4942 0.2615 1.890 0.0588 .
    ---
    > d_y1_d_x2 -0.2967 0.1257 -2.361 0.0183 *
    > d_y2_d_x2 -0.6194 0.2474 -2.504 0.0123 *
    > d_y3_d_x2 0.4942 0.2616 1.890 0.0588 .
    2030,2032c2036,2038
    < 1 0.3232361962 0.3432683006 -0.355048446 -0.459509098 -0.4313201488
    < 2 0.1153483935 0.3596761868 -0.361870523 -0.229189942 -0.5342318456
    < 3 0.2375484576 0.3307600421 -0.361244529 -0.089536451 -0.4547362675
    ---
    > 1 0.3232361962 0.3432683006 -0.355048446 -0.459509098 -0.4313201492
    > 2 0.1153483935 0.3596761868 -0.361870523 -0.229189942 -0.5342318452
    > 3 0.2375484576 0.3307600421 -0.361244529 -0.089536451 -0.4547362676
    2034,2047c2040,2053
    < 5 0.1847060251 0.3084425402 -0.343223755 -0.060445210 -0.3646545055
    < 6 0.3787985991 0.0477528061 -0.033663433 -0.474756965 -0.1554861558
    < 7 0.0100311239 0.0209668055 -0.053506160 -0.001106247 -0.0060166000
    < 8 0.4110128568 0.1322373738 -0.403457904 -0.470548414 -0.1341642415
    < 9 0.1474786224 0.3575139395 -0.360949264 -0.264433849 -0.4844316875
    < 10 0.3116938786 0.3484655127 -0.361307997 -0.453660745 -0.4473769720
    < 11 0.2058976401 0.3200081427 -0.328883694 -0.079864894 -0.5893156409
    < 12 0.1177334095 0.2436538298 -0.287657466 -0.031148919 -0.2231415098
    < 13 0.1471332486 0.3159154131 -0.349075440 -0.039228802 -0.3336039180
    < 14 0.0406336000 0.0999068773 -0.152735168 -0.007155820 -0.0531209316
    < 15 0.0358197254 0.0880153046 -0.139996990 -0.091958139 -0.2591680622
    < 16 0.1882725183 0.3350175752 -0.342159788 -0.067926448 -0.5870797946
    < 17 0.3833567161 0.2924153584 -0.314583141 -0.212937646 -0.5602548013
    < 18 0.3979220186 0.2666187493 -0.404805015 -0.513151557 -0.3701386057
    ---
    > 5 0.1847060251 0.3084425402 -0.343223755 -0.060445211 -0.3646545059
    > 6 0.3787985991 0.0477528062 -0.033663433 -0.474756965 -0.1554861558
    > 7 0.0100311239 0.0209668055 -0.053506160 -0.001106247 -0.0060166004
    > 8 0.4110128568 0.1322373739 -0.403457904 -0.470548414 -0.1341642415
    > 9 0.1474786224 0.3575139395 -0.360949264 -0.264433849 -0.4844316876
    > 10 0.3116938786 0.3484655128 -0.361307997 -0.453660745 -0.4473769719
    > 11 0.2058976401 0.3200081428 -0.328883694 -0.079864895 -0.5893156417
    > 12 0.1177334095 0.2436538298 -0.287657466 -0.031148920 -0.2231415107
    > 13 0.1471332486 0.3159154131 -0.349075440 -0.039228803 -0.3336039182
    > 14 0.0406336000 0.0999068773 -0.152735168 -0.007155819 -0.0531209314
    > 15 0.0358197254 0.0880153046 -0.139996990 -0.091958139 -0.2591680623
    > 16 0.1882725183 0.3350175752 -0.342159788 -0.067926448 -0.5870797947
    > 17 0.3833567161 0.2924153584 -0.314583141 -0.212937647 -0.5602548018
    > 18 0.3979220186 0.2666187493 -0.404805015 -0.513151557 -0.3701386058
    2050,2065c2056,2071
    < 21 0.1201169117 0.2467991134 -0.290399333 -0.244509996 -0.5058124546
    < 22 0.0007497926 0.0006978391 -0.005797477 -0.002951779 -0.0038207797
    < 23 0.4535483129 0.0631045466 -0.259933151 -0.387912217 -0.0460271704
    < 24 0.0233590201 0.2044569486 -0.233822492 -0.072712002 -0.4720414681
    < 25 0.1747911246 0.1895312592 -0.261808609 -0.302155599 -0.4395843932
    < 26 0.4530947664 0.0604711728 -0.252242094 -0.382153939 -0.0433433667
    < 27 0.1689887911 0.2972946593 -0.333810139 -0.052838667 -0.3336920587
    < 28 0.0247529328 0.0595893814 -0.107382268 -0.003670897 -0.0251760067
    < 29 0.3008617678 0.2048889670 -0.428116555 -0.447474248 -0.2665140729
    < 30 0.2090453560 0.3214423437 -0.354022707 -0.073180136 -0.4091058935
    < 31 0.2455445912 0.3606360268 -0.379506727 -0.091829433 -0.5089267100
    < 32 0.2072019348 0.3187872119 -0.327786882 -0.311947695 -0.3715008228
    < 33 0.1474382857 0.2781589528 -0.317490037 -0.043152940 -0.2887484011
    < 34 0.4881154711 0.2484746725 -0.250623067 -0.449373107 -0.5284208165
    < 35 0.1861474779 0.3093531933 -0.343988258 -0.061166505 -0.3674094304
    < 36 0.4662923136 0.3127833842 -0.339277170 -0.321772793 -0.5593117660
    ---
    > 21 0.1201169118 0.2467991134 -0.290399333 -0.244509996 -0.5058124538
    > 22 0.0007497926 0.0006978391 -0.005797477 -0.002951779 -0.0038207794
    > 23 0.4535483129 0.0631045466 -0.259933151 -0.387912218 -0.0460271705
    > 24 0.0233590201 0.2044569486 -0.233822492 -0.072712001 -0.4720414686
    > 25 0.1747911246 0.1895312592 -0.261808609 -0.302155599 -0.4395843931
    > 26 0.4530947663 0.0604711728 -0.252242094 -0.382153939 -0.0433433667
    > 27 0.1689887911 0.2972946593 -0.333810139 -0.052838666 -0.3336920584
    > 28 0.0247529328 0.0595893814 -0.107382268 -0.003670897 -0.0251760065
    > 29 0.3008617678 0.2048889670 -0.428116555 -0.447474248 -0.2665140730
    > 30 0.2090453560 0.3214423437 -0.354022707 -0.073180136 -0.4091058932
    > 31 0.2455445912 0.3606360268 -0.379506727 -0.091829433 -0.5089267097
    > 32 0.2072019349 0.3187872119 -0.327786882 -0.311947694 -0.3715008229
    > 33 0.1474382857 0.2781589528 -0.317490037 -0.043152940 -0.2887484021
    > 34 0.4881154711 0.2484746725 -0.250623067 -0.449373107 -0.5284208167
    > 35 0.1861474779 0.3093531933 -0.343988258 -0.061166505 -0.3674094305
    > 36 0.4662923136 0.3127833842 -0.339277170 -0.321772793 -0.5593117663
    2067,2075c2073,2081
    < 38 0.3756418193 0.3074074008 -0.313706240 -0.474844440 -0.3482839439
    < 39 0.0638654116 0.3176168542 -0.326350396 -0.154807067 -0.5696465230
    < 40 0.4453405495 0.0456337186 -0.205495492 -0.344289600 -0.0292378379
    < 41 0.4537160101 0.1514742551 -0.139238355 -0.391407408 -0.1245240634
    < 42 0.4031850053 0.1389606133 -0.411561969 -0.472975837 -0.1445333296
    < 43 0.3187527097 0.1953852746 -0.433867721 -0.457330982 -0.2461844887
    < 44 0.0933321287 0.2073153800 -0.255570394 -0.022420512 -0.1675168919
    < 45 0.4138250511 0.0262438003 -0.134437144 -0.471512839 -0.0877855065
    < 46 0.0320414287 0.2395251689 -0.262837614 -0.092981737 -0.5147062192
    ---
    > 38 0.3756418193 0.3074074008 -0.313706240 -0.474844440 -0.3482839442
    > 39 0.0638654116 0.3176168542 -0.326350396 -0.154807067 -0.5696465233
    > 40 0.4453405495 0.0456337187 -0.205495492 -0.344289600 -0.0292378379
    > 41 0.4537160101 0.1514742551 -0.139238355 -0.391407408 -0.1245240635
    > 42 0.4031850053 0.1389606133 -0.411561969 -0.472975838 -0.1445333297
    > 43 0.3187527097 0.1953852747 -0.433867721 -0.457330982 -0.2461844889
    > 44 0.0933321287 0.2073153800 -0.255570394 -0.022420511 -0.1675168917
    > 45 0.4138250511 0.0262438003 -0.134437144 -0.471512840 -0.0877855065
    > 46 0.0320414287 0.2395251689 -0.262837614 -0.092981737 -0.5147062188
    2078,2079c2084,2085
    < 49 0.1820121476 0.3066912948 -0.341751326 -0.059108011 -0.3594666859
    < 50 0.1059631810 0.0980984696 -0.167108498 -0.194204529 -0.2810062296
    ---
    > 49 0.1820121476 0.3066912948 -0.341751326 -0.059108011 -0.3594666853
    > 50 0.1059631810 0.0980984696 -0.167108498 -0.194204529 -0.2810062303
    2081,2083c2087,2089
    < 1 0.360815948
    < 2 0.497693369
    < 3 0.453818048
    ---
    > 1 0.360815947
    > 2 0.497693370
    > 3 0.453818047
    2086c2092
    < 6 0.120618005
    ---
    > 6 0.120618004
    2100c2106
    < 20 0.006078858
    ---
    > 20 0.006078859
    2112c2118
    < 32 0.328691010
    ---
    > 32 0.328691011
    2116,2120c2122,2126
    < 36 0.542851699
    < 37 0.512469884
    < 38 0.267731304
    < 39 0.541591921
    < 40 0.117148028
    ---
    > 36 0.542851700
    > 37 0.512469883
    > 38 0.267731303
    > 39 0.541591920
    > 40 0.117148027
    2123c2129
    < 43 0.554039711
    ---
    > 43 0.554039712
    2125c2131
    < 45 0.362288295
    ---
    > 45 0.362288294
    2145c2151
    < 1 0.02917825 -0.01501905 -0.02193211 -0.01395642 0.008102776 0.01921387
    ---
    > 1 0.02917825 -0.01501905 -0.02193211 -0.01396746 0.008000066 0.01931686
    2150c2156
    < 1 -0.01501905 0.05320172 0.0319124 0.01189238 -0.02423779 -0.03081045
    ---
    > 1 -0.01501905 0.05320172 0.0319124 0.01182735 -0.0241312 -0.03099196
    2155c2161
    < 1 -0.02193211 0.0319124 0.1246049 0.03379898 -0.02209949 -0.07904531
    ---
    > 1 -0.02193211 0.0319124 0.1246049 0.0336234 -0.02175698 -0.07938726
    2160c2166
    < 1 -0.01395642 0.01189238 0.03379898 0.02902423 -0.007627455 -0.02724637
    ---
    > 1 -0.01396746 0.01182735 0.0336234 0.02911258 -0.007133504 -0.02753816
    2165c2171
    < 1 0.008102776 -0.02423779 -0.02209949 -0.007627455 0.06183583 -0.01318688
    ---
    > 1 0.008000066 -0.0241312 -0.02175698 -0.007133504 0.06178181 -0.01312535
    2170c2176
    < 1 0.01921387 -0.03081045 -0.07904531 -0.02724637 -0.01318688 0.1127279
    ---
    > 1 0.01931686 -0.03099196 -0.07938726 -0.02753816 -0.01312535 0.1127387
    2174,2179c2180,2185
    < d_y1_d_x1 0.029178251 -0.01501905 -0.02193211 -0.013956422 0.008102776
    < d_y2_d_x1 -0.015019052 0.05320172 0.03191240 0.011892377 -0.024237794
    < d_y3_d_x1 -0.021932109 0.03191240 0.12460488 0.033798977 -0.022099486
    < d_y1_d_x2 -0.013956422 0.01189238 0.03379898 0.029024226 -0.007627455
    < d_y2_d_x2 0.008102776 -0.02423779 -0.02209949 -0.007627455 0.061835828
    < d_y3_d_x2 0.019213868 -0.03081045 -0.07904531 -0.027246372 -0.013186875
    ---
    > d_y1_d_x1 0.029178251 -0.01501905 -0.02193211 -0.013967456 0.008000066
    > d_y2_d_x1 -0.015019052 0.05320172 0.03191240 0.011827349 -0.024131203
    > d_y3_d_x1 -0.021932109 0.03191240 0.12460488 0.033623397 -0.021756978
    > d_y1_d_x2 -0.013967456 0.01182735 0.03362340 0.029112578 -0.007133504
    > d_y2_d_x2 0.008000066 -0.02413120 -0.02175698 -0.007133504 0.061781812
    > d_y3_d_x2 0.019316858 -0.03099196 -0.07938726 -0.027538160 -0.013125355
    2181,2186c2187,2192
    < d_y1_d_x1 0.01921387
    < d_y2_d_x1 -0.03081045
    < d_y3_d_x1 -0.07904531
    < d_y1_d_x2 -0.02724637
    < d_y2_d_x2 -0.01318688
    < d_y3_d_x2 0.11272792
    ---
    > d_y1_d_x1 0.01931686
    > d_y2_d_x1 -0.03099196
    > d_y3_d_x1 -0.07938726
    > d_y1_d_x2 -0.02753816
    > d_y2_d_x2 -0.01312535
    > d_y3_d_x2 0.11273869
    2191c2197
    < 1 -0.2756386 0.0364304 0.0215077 0.3052384 -0.03901347 -0.01322511
    ---
    > 1 -0.2756386 0.0364304 0.0215077 0.3042895 -0.03868758 -0.0142573
    2196c2202
    < 1 0.1088669 -0.01679467 -0.04018058 0.1459617 -0.01882919 -0.00690095
    ---
    > 1 0.1088669 -0.01679466 -0.04018058 0.1456903 -0.01858427 -0.006984302
    2201c2207
    < 1 -0.04035577 0.005333712 0.003148906 0.3002051 -0.04554324 -0.06497322
    ---
    > 1 -0.04035577 0.005333712 0.003148906 0.2999736 -0.04553434 -0.06522682
    2206c2212
    < 1 0.02941159 0.02467612 0.002072237 -0.02238515 -0.06552366 -0.008180535
    ---
    > 1 0.02941159 0.02467612 0.002072237 -0.02415646 -0.06594595 -0.009121088
    2211c2217
    < 1 -0.02144958 0.3747664 0.01507689 -0.01041281 -0.03150722 -0.003447548
    ---
    > 1 -0.02144958 0.3747664 0.01507689 -0.0111527 -0.03157062 -0.004266047
    2216c2222
    < 1 0.004306099 0.003612788 0.0003033922 -0.04616772 0.3921144 0.01529612
    ---
    > 1 0.0043061 0.003612788 0.0003033925 -0.04436203 0.3924182 0.01701016
    2221c2227
    < 1 0.03799907 -0.001971137 0.1107795 -0.03646394 -0.0001574728 -0.1783177
    ---
    > 1 0.03799907 -0.001971137 0.1107795 -0.03651136 -0.0007867617 -0.1786325
    2226c2232
    < 1 -0.02673914 0.01016274 0.3997707 -0.0171123 -0.0004024555 -0.08477084
    ---
    > 1 -0.02673914 0.01016274 0.3997707 -0.01807419 -0.0004326831 -0.08606061
    2231c2237
    < 1 0.005563379 -0.0002885906 0.01621904 -0.05912531 0.01361205 0.3615996
    ---
    > 1 0.005563378 -0.0002885908 0.01621904 -0.06032818 0.013186 0.36048
    2236c2242
    < 1 0.05911053 -0.1147012 9.086992e-05 0.001593264 0.1109649 -0.03216853
    ---
    > 1 0.05911053 -0.1147012 9.086992e-05 0.002458758 0.1113038 -0.03156968
    2241c2247
    < 1 -0.04741947 -0.002969002 -0.1719091 -0.02082762 0.01891143 0.1874815
    ---
    > 1 -0.04741947 -0.002969002 -0.1719091 -0.02077546 0.01841092 0.1872539
    2246c2252
    < 1 -0.001938165 0.2156583 -0.2744872 0.002129001 -0.3543742 0.4669418
    ---
    > 1 -0.001938164 0.2156583 -0.2744872 0.00173081 -0.3540987 0.4665918
    2250,2255c2256,2261
    < d_y1_d_x1 -0.27563860 0.10886693 -0.040355770 0.029411588 -0.021449584
    < d_y2_d_x1 0.03643040 -0.01679467 0.005333712 0.024676118 0.374766355
    < d_y3_d_x1 0.02150770 -0.04018058 0.003148906 0.002072237 0.015076895
    < d_y1_d_x2 0.30523836 0.14596169 0.300205088 -0.022385151 -0.010412807
    < d_y2_d_x2 -0.03901347 -0.01882919 -0.045543236 -0.065523659 -0.031507219
    < d_y3_d_x2 -0.01322511 -0.00690095 -0.064973219 -0.008180535 -0.003447548
    ---
    > d_y1_d_x1 -0.27563860 0.108866929 -0.040355771 0.029411588 -0.021449583
    > d_y2_d_x1 0.03643040 -0.016794665 0.005333712 0.024676118 0.374766354
    > d_y3_d_x1 0.02150770 -0.040180579 0.003148906 0.002072237 0.015076895
    > d_y1_d_x2 0.30428951 0.145690299 0.299973601 -0.024156463 -0.011152701
    > d_y2_d_x2 -0.03868758 -0.018584272 -0.045534342 -0.065945950 -0.031570619
    > d_y3_d_x2 -0.01425730 -0.006984302 -0.065226821 -0.009121088 -0.004266047
    2257,2262c2263,2268
    < d_y1_d_x1 0.0043060993 0.0379990750 -0.0267391387 0.0055633792 5.911053e-02
    < d_y2_d_x1 0.0036127877 -0.0019711372 0.0101627381 -0.0002885906 -1.147012e-01
    < d_y3_d_x1 0.0003033922 0.1107795419 0.3997706696 0.0162190409 9.086992e-05
    < d_y1_d_x2 -0.0461677190 -0.0364639410 -0.0171123023 -0.0591253112 1.593264e-03
    < d_y2_d_x2 0.3921144222 -0.0001574728 -0.0004024555 0.0136120455 1.109649e-01
    < d_y3_d_x2 0.0152961248 -0.1783177076 -0.0847708395 0.3615995627 -3.216853e-02
    ---
    > d_y1_d_x1 0.0043060996 0.0379990740 -0.0267391390 0.0055633784 5.911053e-02
    > d_y2_d_x1 0.0036127877 -0.0019711371 0.0101627380 -0.0002885908 -1.147012e-01
    > d_y3_d_x1 0.0003033925 0.1107795413 0.3997706693 0.0162190406 9.086992e-05
    > d_y1_d_x2 -0.0443620333 -0.0365113561 -0.0180741893 -0.0603281798 2.458758e-03
    > d_y2_d_x2 0.3924182043 -0.0007867617 -0.0004326831 0.0131859993 1.113038e-01
    > d_y3_d_x2 0.0170101648 -0.1786325472 -0.0860606068 0.3604800463 -3.156968e-02
    2264c2270
    < d_y1_d_x1 -0.047419474 -0.001938165
    ---
    > d_y1_d_x1 -0.047419474 -0.001938164
    2267,2269c2273,2275
    < d_y1_d_x2 -0.020827624 0.002129001
    < d_y2_d_x2 0.018911427 -0.354374230
    < d_y3_d_x2 0.187481470 0.466941813
    ---
    > d_y1_d_x2 -0.020775461 0.001730810
    > d_y2_d_x2 0.018410922 -0.354098693
    > d_y3_d_x2 0.187253948 0.466591818
    2275,2277c2281,2283
    < d_y1_d_x2 -0.2927 0.1704 -1.718 0.0858 .
    < d_y2_d_x2 -0.5708 0.2487 -2.295 0.0217 *
    < d_y3_d_x2 0.5331 0.3357 1.588 0.1123
    ---
    > d_y1_d_x2 -0.2927 0.1706 -1.716 0.0862 .
    > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
    > d_y3_d_x2 0.5331 0.3358 1.588 0.1123
    2294,2299c2300,2305
    < d_y1_d_x1 0.2979 0.1878 1.586 0.1127
    < d_y2_d_x1 0.3661 0.2559 1.430 0.1526
    < d_y3_d_x1 -0.3861 0.4031 -0.958 0.3382
    < d_y1_d_x2 -0.2927 0.1704 -1.718 0.0858 .
    < d_y2_d_x2 -0.5708 0.2487 -2.295 0.0217 *
    < d_y3_d_x2 0.5331 0.3357 1.588 0.1123
    ---
    > d_y1_d_x1 0.2979 0.1878 1.586 0.1128
    > d_y2_d_x1 0.3661 0.2556 1.432 0.1521
    > d_y3_d_x1 -0.3861 0.4035 -0.957 0.3387
    > d_y1_d_x2 -0.2927 0.1706 -1.716 0.0862 .
    > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
    > d_y3_d_x2 0.5331 0.3358 1.588 0.1123
    2325c2331
    < 2 1.153484e-01 0.3596761868 -0.361870523 -2.291899e-01 -0.534231846
    ---
    > 2 1.153484e-01 0.3596761868 -0.361870523 -2.291899e-01 -0.534231845
    2329,2330c2335,2336
    < 6 3.656145e-01 0.0477528061 -0.049586181 -2.816339e-01 -0.155486156
    < 7 8.025561e-04 0.0243038218 -0.053506160 -1.527052e-05 -0.007237107
    ---
    > 6 3.656145e-01 0.0477528062 -0.049586181 -2.816339e-01 -0.155486156
    > 7 8.025561e-04 0.0243038218 -0.053506160 -1.527073e-05 -0.007237107
    2332,2334c2338,2340
    < 9 1.474786e-01 0.3575139395 -0.360949264 -2.644338e-01 -0.484431687
    < 10 1.681334e-01 0.3484655127 -0.353640857 -2.833560e-01 -0.447376972
    < 11 2.058976e-01 0.3200081427 -0.328883694 -7.986489e-02 -0.589315641
    ---
    > 9 1.474786e-01 0.3575139395 -0.360949264 -2.644338e-01 -0.484431688
    > 10 1.681334e-01 0.3484655128 -0.353640857 -2.833560e-01 -0.447376972
    > 11 2.058976e-01 0.3200081428 -0.328883694 -7.986489e-02 -0.589315642
    2337c2343
    < 14 8.252791e-03 0.1126141858 -0.152735168 -4.572391e-04 -0.059829478
    ---
    > 14 8.252791e-03 0.1126141858 -0.152735168 -4.572389e-04 -0.059829478
    2342c2348
    < 19 3.158634e-01 0.1708741211 -0.182528222 -1.857743e-01 -0.425124122
    ---
    > 19 3.158634e-01 0.1708741212 -0.182528222 -1.857743e-01 -0.425124122
    2345,2347c2351,2353
    < 22 7.527641e-06 0.0008764661 -0.005797477 -5.392648e-05 -0.004697059
    < 23 3.279646e-01 0.1482405271 -0.158642179 -3.376436e-01 -0.120972355
    < 24 2.335902e-02 0.2044569486 -0.233822492 -7.271200e-02 -0.472041468
    ---
    > 22 7.527641e-06 0.0008764661 -0.005797477 -5.392636e-05 -0.004697058
    > 23 3.279646e-01 0.1482405272 -0.158642179 -3.376436e-01 -0.120972355
    > 24 2.335902e-02 0.2044569486 -0.233822492 -7.271200e-02 -0.472041469
    2351,2352c2357,2358
    < 28 3.697711e-03 0.0677386518 -0.107382268 -1.382749e-04 -0.028962153
    < 29 1.602838e-01 0.3525152587 -0.356977215 -2.764906e-01 -0.461795156
    ---
    > 28 3.697711e-03 0.0677386518 -0.107382268 -1.382736e-04 -0.028962152
    > 29 1.602838e-01 0.3525152587 -0.356977215 -2.764906e-01 -0.461795157
    2356c2362
    < 33 5.764014e-02 0.3067479621 -0.317490037 -9.343950e-03 -0.312912587
    ---
    > 33 5.764014e-02 0.3067479621 -0.317490037 -9.343950e-03 -0.312912586
    2358c2364
    < 35 8.016769e-02 0.3390172205 -0.343988258 -1.594768e-02 -0.396128891
    ---
    > 35 8.016769e-02 0.3390172205 -0.343988258 -1.594768e-02 -0.396128892
    2367c2373
    < 44 2.964178e-02 0.2306743304 -0.255570394 -3.255864e-03 -0.183536972
    ---
    > 44 2.964178e-02 0.2306743304 -0.255570394 -3.255863e-03 -0.183536972
    2373c2379
    < 50 8.014647e-03 0.1106081689 -0.150825136 -3.042539e-02 -0.312672068
    ---
    > 50 8.014647e-03 0.1106081689 -0.150825136 -3.042539e-02 -0.312672067
    2375,2378c2381,2384
    < 1 0.3901083250
    < 2 0.4976933693
    < 3 0.4538180475
    < 4 0.2097690586
    ---
    > 1 0.3901083245
    > 2 0.4976933698
    > 3 0.4538180474
    > 4 0.2097690590
    2380c2386
    < 6 0.1540883668
    ---
    > 6 0.1540883658
    2382,2385c2388,2391
    < 8 0.2361440547
    < 9 0.4453484744
    < 10 0.4068752261
    < 11 0.5244770681
    ---
    > 8 0.2361440541
    > 9 0.4453484740
    > 10 0.4068752259
    > 11 0.5244770677
    2387c2393
    < 13 0.3491159971
    ---
    > 13 0.3491159968
    2389,2401c2395,2407
    < 15 0.3345042189
    < 16 0.5221262891
    < 17 0.5221842934
    < 18 0.4717298383
    < 19 0.4018382479
    < 20 0.0012165805
    < 21 0.5283221759
    < 22 0.0220435518
    < 23 0.0875151199
    < 24 0.4749678436
    < 25 0.4816140285
    < 26 0.0826818560
    < 27 0.3680158265
    ---
    > 15 0.3345042190
    > 16 0.5221262890
    > 17 0.5221842932
    > 18 0.4717298386
    > 19 0.4018382483
    > 20 0.0012165800
    > 21 0.5283221758
    > 22 0.0220435519
    > 23 0.0875151197
    > 24 0.4749678438
    > 25 0.4816140290
    > 26 0.0826818553
    > 27 0.3680158264
    2403,2404c2409,2410
    < 29 0.4218168736
    < 30 0.4221148380
    ---
    > 29 0.4218168732
    > 30 0.4221148377
    2406,2407c2412,2413
    < 32 0.3286910104
    < 33 0.3343496419
    ---
    > 32 0.3286910106
    > 33 0.3343496420
    2409,2417c2415,2423
    < 35 0.3925162505
    < 36 0.5235976286
    < 37 0.3272971785
    < 38 0.3050670496
    < 39 0.5415919209
    < 40 0.0569044617
    < 41 0.0905951795
    < 42 0.2524085677
    < 43 0.3967870891
    ---
    > 35 0.3925162504
    > 36 0.5235976288
    > 37 0.3272971776
    > 38 0.3050670491
    > 39 0.5415919200
    > 40 0.0569044620
    > 41 0.0905951790
    > 42 0.2524085679
    > 43 0.3967870889
    2419,2423c2425,2429
    < 45 0.2129895982
    < 46 0.5060433878
    < 47 0.0005616487
    < 48 0.0141168587
    < 49 0.3867950468
    ---
    > 45 0.2129895987
    > 46 0.5060433880
    > 47 0.0005616506
    > 48 0.0141168576
    > 49 0.3867950466
    2438c2444
    < 1 0.7075564 -0.04370243 -0.2055559 -0.7499736 0.00180982 0.2022511
    ---
    > 1 0.7075564 -0.04370243 -0.2055559 -0.7499063 0.0007832827 0.2023201
    2443c2449
    < 1 -0.04370243 0.05320172 0.03726478 0.04089974 -0.02423779 -0.03728815
    ---
    > 1 -0.04370243 0.05320172 0.03726478 0.04091681 -0.0241312 -0.03729361
    2448c2454
    < 1 -0.2055559 0.03726478 0.1611677 0.2186468 -0.02839695 -0.1082049
    ---
    > 1 -0.2055559 0.03726478 0.1611677 0.2190094 -0.02792443 -0.1079185
    2453c2459
    < 1 -0.7499736 0.04089974 0.2186468 0.8053363 -0.001024212 -0.212269
    ---
    > 1 -0.7499063 0.04091681 0.2190094 0.8052599 2.871672e-05 -0.2123891
    2458c2464
    < 1 0.00180982 -0.02423779 -0.02839695 -0.001024212 0.06183583 -0.003814004
    ---
    > 1 0.0007832827 -0.0241312 -0.02792443 2.871672e-05 0.06178181 -0.004283597
    2463c2469
    < 1 0.2022511 -0.03728815 -0.1082049 -0.212269 -0.003814004 0.1320668
    ---
    > 1 0.2023201 -0.03729361 -0.1079185 -0.2123891 -0.004283597 0.1320079
    2467,2472c2473,2478
    < d_y1_d_x1 0.70755635 -0.04370243 -0.20555591 -0.749973616 0.001809820
    < d_y2_d_x1 -0.04370243 0.05320172 0.03726478 0.040899736 -0.024237794
    < d_y3_d_x1 -0.20555591 0.03726478 0.16116766 0.218646820 -0.028396953
    < d_y1_d_x2 -0.74997362 0.04089974 0.21864682 0.805336319 -0.001024212
    < d_y2_d_x2 0.00180982 -0.02423779 -0.02839695 -0.001024212 0.061835828
    < d_y3_d_x2 0.20225111 -0.03728815 -0.10820486 -0.212269006 -0.003814004
    ---
    > d_y1_d_x1 0.7075563550 -0.04370243 -0.20555591 -7.499063e-01 7.832827e-04
    > d_y2_d_x1 -0.0437024348 0.05320172 0.03726478 4.091681e-02 -2.413120e-02
    > d_y3_d_x1 -0.2055559118 0.03726478 0.16116766 2.190094e-01 -2.792443e-02
    > d_y1_d_x2 -0.7499062842 0.04091681 0.21900944 8.052599e-01 2.871672e-05
    > d_y2_d_x2 0.0007832827 -0.02413120 -0.02792443 2.871672e-05 6.178181e-02
    > d_y3_d_x2 0.2023200623 -0.03729361 -0.10791847 -2.123891e-01 -4.283597e-03
    2474,2479c2480,2485
    < d_y1_d_x1 0.202251108
    < d_y2_d_x1 -0.037288150
    < d_y3_d_x1 -0.108204864
    < d_y1_d_x2 -0.212269006
    < d_y2_d_x2 -0.003814004
    < d_y3_d_x2 0.132066849
    ---
    > d_y1_d_x1 0.202320062
    > d_y2_d_x1 -0.037293615
    > d_y3_d_x1 -0.107918471
    > d_y1_d_x2 -0.212389056
    > d_y2_d_x2 -0.004283597
    > d_y3_d_x2 0.132007915
    2486,2487c2492,2493
    < d_y2_d_x2 -0.5708 0.2487 -2.295 0.0217 *
    < d_y3_d_x2 0.5247 0.3634 1.444 0.1488
    ---
    > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
    > d_y3_d_x2 0.5247 0.3633 1.444 0.1487
    Running 'mvProbitTest.R'
    Comparing 'mvProbitTest.Rout' to 'mvProbitTest.Rout.save' ...351,354c351,354
    < [2,] -0.620181812 0.00000000 -0.62018181 0.135184077 0.182997967
    < [3,] -0.208837065 -0.20883706 -0.20883706 0.214267757 -0.186935416
    < [4,] 1.493926468 1.49392647 1.49392647 -1.088909900 1.311866859
    < [5,] 0.917269941 0.91726994 0.00000000 -0.573329733 0.753611631
    ---
    > [2,] -0.620181812 0.00000000 -0.62018181 0.135184078 0.182997967
    > [3,] -0.208837065 -0.20883706 -0.20883706 0.214267758 -0.186935416
    > [4,] 1.493926467 1.49392647 1.49392647 -1.088909899 1.311866859
    > [5,] 0.917269941 0.91726994 0.00000000 -0.573329732 0.753611630
    356c356
    < [7,] 0.071223816 0.07122382 0.07122382 0.059670390 0.039452129
    ---
    > [7,] 0.071223816 0.07122382 0.07122382 0.059670391 0.039452129
    372,381c372,381
    < [1,] 0.00000000 -0.31393241 0.33522447 -0.13388094 -0.0089522201 0.031648334
    < [2,] 0.00000000 -0.24068300 0.05246286 0.07101869 -0.2109161679 0.242606606
    < [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604013 0.118484255
    < [4,] -0.79100711 -0.79100711 0.57655814 -0.69460983 0.5931737070 -0.947273870
    < [5,] -1.24501533 0.00000000 0.77818347 -1.02288104 -0.6958962371 -0.901556092
    < [6,] -0.07038947 -0.07038947 0.11872545 -0.04847302 -0.0020805972 0.015112572
    < [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688749 0.055215326
    < [8,] 0.00000000 0.00000000 0.06001806 -0.02422733 -0.0620710171 0.159552938
    < [9,] 0.00000000 -0.06658594 0.07578392 0.02037281 -0.0038911043 0.024566263
    < [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026085 0.003157443
    ---
    > [1,] 0.00000000 -0.31393241 0.33522447 -0.13388094 -0.0089522200 0.031648334
    > [2,] 0.00000000 -0.24068300 0.05246286 0.07101869 -0.2109161681 0.242606606
    > [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604016 0.118484255
    > [4,] -0.79100711 -0.79100711 0.57655815 -0.69460983 0.5931737070 -0.947273870
    > [5,] -1.24501533 0.00000000 0.77818347 -1.02288104 -0.6958962371 -0.901556093
    > [6,] -0.07038947 -0.07038947 0.11872545 -0.04847302 -0.0020805973 0.015112572
    > [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688745 0.055215327
    > [8,] 0.00000000 0.00000000 0.06001806 -0.02422733 -0.0620710172 0.159552938
    > [9,] 0.00000000 -0.06658594 0.07578392 0.02037281 -0.0038911046 0.024566263
    > [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026088 0.003157443
    386c386
    < [4,] -0.319508442
    ---
    > [4,] -0.319508443
    410,411c410,411
    < [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935271
    < [4,] 1.493926912 1.49392691 1.49392691 -1.088910224 1.311867250
    ---
    > [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935272
    > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
    414c414
    < [7,] 0.071223890 0.07122389 0.07122389 0.059670453 0.039452170
    ---
    > [7,] 0.071223890 0.07122389 0.07122389 0.059670452 0.039452170
    426c426
    < [8,] -0.41846117 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
    ---
    > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
    431,433c431,433
    < [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161817 0.242606594
    < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604438 0.118484204
    < [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.947273091
    ---
    > [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.242606594
    > [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604439 0.118484204
    > [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.947273090
    435,436c435,436
    < [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805999 0.015112555
    < [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688918 0.055215307
    ---
    > [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805997 0.015112555
    > [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688919 0.055215307
    439c439
    < [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026085 0.003157441
    ---
    > [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026087 0.003157441
    441c441
    < [1,] -0.161540031
    ---
    > [1,] -0.161540032
    447c447
    < [7,] -0.129101447
    ---
    > [7,] -0.129101448
    466c466
    < [2,] -0.620181508 0.00000000 -0.62018151 0.135184011 0.182997877
    ---
    > [2,] -0.620181508 0.00000000 -0.62018151 0.135184012 0.182997877
    468c468
    < [4,] 1.493926912 1.49392691 1.49392691 -1.088910224 1.311867250
    ---
    > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
    471c471
    < [7,] 0.071223890 0.07122389 0.07122389 0.059670452 0.039452170
    ---
    > [7,] 0.071223890 0.07122389 0.07122389 0.059670453 0.039452170
    481c481
    < [6,] 0.06467576 0.06467576 0.06467576 -0.10908818 0.04453833 -0.07038940
    ---
    > [6,] 0.06467576 0.06467576 0.06467576 -0.10908818 0.04453834 -0.07038940
    483c483
    < [8,] -0.41846117 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
    ---
    > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
    488,490c488,490
    < [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161817 0.242606594
    < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604438 0.118484204
    < [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.947273091
    ---
    > [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.242606594
    > [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604439 0.118484204
    > [4,] -0.7910068 -0.79100675 0.57655789 -0.69460952 0.5931740810 -0.947273090
    492,493c492,493
    < [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805999 0.015112555
    < [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688918 0.055215307
    ---
    > [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805997 0.015112555
    > [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688919 0.055215307
    496c496
    < [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026085 0.003157441
    ---
    > [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026087 0.003157441
    498c498
    < [1,] -0.161540031
    ---
    > [1,] -0.161540032
    504c504
    < [7,] -0.129101447
    ---
    > [7,] -0.129101448
    510,519c510,519
    < [1,] 1.172539e-06 NaN 1.172539e-06 1.181710e-06 1.170315e-06
    < [2,] 4.897873e-07 NaN 4.897873e-07 4.911986e-07 4.892079e-07
    < [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719547e-07 7.711369e-07
    < [4,] -2.975603e-07 -2.975603e-07 -2.975603e-07 -2.976685e-07 -2.977415e-07
    < [5,] -4.197512e-07 -4.197512e-07 NaN -4.198659e-07 -4.199933e-07
    < [6,] 1.031653e-06 1.031653e-06 1.031653e-06 1.032718e-06 1.035716e-06
    < [7,] -1.042044e-06 -1.042044e-06 -1.042044e-06 -1.040062e-06 -1.040227e-06
    < [8,] -7.585615e-07 NaN NaN -7.634856e-07 -7.635966e-07
    < [9,] 8.724623e-07 NaN 8.724623e-07 8.730429e-07 8.713498e-07
    < [10,] -1.594374e-06 NaN NaN -1.571777e-06 -1.688243e-06
    ---
    > [1,] 1.169727e-06 NaN 1.169727e-06 1.181532e-06 1.167503e-06
    > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
    > [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719682e-07 7.722624e-07
    > [4,] -2.984521e-07 -2.984521e-07 -2.984521e-07 -2.982630e-07 -2.983360e-07
    > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
    > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
    > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
    > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
    > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
    > [10,] -1.623363e-06 NaN NaN -1.600836e-06 -1.740423e-06
    521,530c521,530
    < [1,] -5.386585e-07 NaN -5.386585e-07 -5.389699e-07 -5.417569e-07
    < [2,] -5.535818e-07 NaN -5.535818e-07 -5.531841e-07 -5.526840e-07
    < [3,] -5.878059e-07 -5.878059e-07 -5.878059e-07 -5.885737e-07 -5.886354e-07
    < [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.254369e-07
    < [5,] 3.892690e-07 3.892690e-07 NaN 3.894043e-07 3.889638e-07
    < [6,] -9.982019e-07 -9.982019e-07 -9.982019e-07 -9.991444e-07 -9.971267e-07
    < [7,] 6.218852e-07 6.218852e-07 6.218852e-07 6.219296e-07 6.215289e-07
    < [8,] 5.603366e-07 NaN NaN 5.626911e-07 5.500184e-07
    < [9,] -9.667911e-07 NaN -9.667911e-07 -9.659973e-07 -9.578363e-07
    < [10,] 8.278502e-07 NaN NaN 8.258985e-07 8.268165e-07
    ---
    > [1,] -5.396519e-07 NaN -5.396519e-07 -5.394351e-07 -5.394276e-07
    > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
    > [3,] -5.893031e-07 -5.893031e-07 -5.893031e-07 -5.888807e-07 -5.895688e-07
    > [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.269256e-07
    > [5,] 3.897700e-07 3.897700e-07 NaN 3.899053e-07 3.900746e-07
    > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
    > [7,] 6.222324e-07 6.222324e-07 6.222324e-07 6.209271e-07 6.213553e-07
    > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
    > [9,] -9.653143e-07 NaN -9.653143e-07 -9.645375e-07 -9.626632e-07
    > [10,] 8.286660e-07 NaN NaN 8.285449e-07 8.251560e-07
    532,541c532,541
    < [1,] 6.344491e-07 NaN 6.344491e-07 6.347396e-07 6.330639e-07
    < [2,] 7.477358e-07 NaN 7.477358e-07 7.429443e-07 7.472152e-07
    < [3,] 6.758559e-07 6.758559e-07 6.758559e-07 6.760121e-07 6.770351e-07
    < [4,] 4.496996e-07 4.496996e-07 4.496996e-07 4.498713e-07 4.499190e-07
    < [5,] 3.374324e-07 3.374324e-07 NaN 3.370737e-07 3.369725e-07
    < [6,] 9.966304e-07 9.966304e-07 9.966304e-07 9.962999e-07 1.000857e-06
    < [7,] -6.145786e-07 -6.145786e-07 -6.145786e-07 -6.145651e-07 -6.149950e-07
    < [8,] -5.974969e-07 NaN NaN -5.994757e-07 -6.149497e-07
    < [9,] 1.027925e-06 NaN 1.027925e-06 1.026799e-06 1.028447e-06
    < [10,] -8.015593e-07 NaN NaN -8.031124e-07 -8.027310e-07
    ---
    > [1,] 6.348028e-07 NaN 6.348028e-07 6.354245e-07 6.342468e-07
    > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
    > [3,] 6.754708e-07 6.754708e-07 6.754708e-07 6.748861e-07 6.770351e-07
    > [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.496625e-07 4.498411e-07
    > [5,] 3.381458e-07 3.381458e-07 NaN 3.372164e-07 3.381200e-07
    > [6,] 1.001559e-06 1.001559e-06 1.001559e-06 9.975476e-07 1.001632e-06
    > [7,] -6.152245e-07 -6.152245e-07 -6.152245e-07 -6.154662e-07 -6.161925e-07
    > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
    > [9,] 1.026049e-06 NaN 1.026049e-06 1.025151e-06 1.029128e-06
    > [10,] -8.031951e-07 NaN NaN -8.032986e-07 -8.019783e-07
    543,552c543,552
    < [1,] -1.537802e-06 3.402760e-07 -1.869386e-07
    < [2,] -6.579764e-08 4.805039e-08 -2.672256e-07
    < [3,] -8.684877e-07 4.254080e-07 -2.999057e-07
    < [4,] -6.303767e-07 8.227581e-07 1.042435e-07
    < [5,] 4.715963e-07 7.290201e-07 -5.933169e-07
    < [6,] -1.280657e-06 1.112974e-06 -1.565810e-06
    < [7,] -1.386765e-06 3.468485e-07 -2.889471e-07
    < [8,] -7.226074e-07 2.908585e-07 -1.594500e-07
    < [9,] -2.453775e-06 9.343661e-07 -1.432711e-06
    < [10,] 0.000000e+00 7.208235e-07 -9.101042e-07
    ---
    > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
    > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
    > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
    > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
    > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
    > [6,] -1.107235e-06 1.105627e-06 -1.567929e-06
    > [7,] -1.432382e-06 3.538860e-07 -2.906671e-07
    > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
    > [9,] -2.389577e-06 9.292818e-07 -1.400272e-06
    > [10,] 3.668841e-07 6.856613e-07 -9.048976e-07
    554c554
    < [1] -2.453775e-06 1.181710e-06
    ---
    > [1] -2.389577e-06 1.181532e-06
    557,566c557,566
    < [1,] -4.629630e-08 0.000000e+00 -4.629630e-08 4.982294e-08 -1.970626e-08
    < [2,] -3.037570e-07 0.000000e+00 -3.037570e-07 6.640219e-08 8.952400e-08
    < [3,] -1.610934e-07 -1.610934e-07 -1.610934e-07 1.654049e-07 -1.441527e-07
    < [4,] -4.445333e-07 -4.445333e-07 -4.445333e-07 3.241343e-07 -3.905973e-07
    < [5,] -3.850253e-07 -3.850253e-07 0.000000e+00 2.407217e-07 -3.165120e-07
    < [6,] -6.285250e-08 -6.285250e-08 -6.285250e-08 1.061224e-07 -4.345321e-08
    < [7,] -7.421841e-08 -7.421841e-08 -7.421841e-08 -6.206098e-08 -4.103923e-08
    < [8,] -1.705303e-07 0.000000e+00 0.000000e+00 -2.632454e-08 1.062790e-08
    < [9,] -1.061790e-07 0.000000e+00 -1.061790e-07 1.209266e-07 3.244537e-08
    < [10,] -7.632783e-09 0.000000e+00 0.000000e+00 -9.434460e-09 3.075029e-09
    ---
    > [1,] -4.618528e-08 0.000000e+00 -4.618528e-08 4.981541e-08 -1.965892e-08
    > [2,] -3.042011e-07 0.000000e+00 -3.042011e-07 6.594388e-08 8.965504e-08
    > [3,] -1.610934e-07 -1.610934e-07 -1.610934e-07 1.654078e-07 -1.443631e-07
    > [4,] -4.458656e-07 -4.458656e-07 -4.458656e-07 3.247817e-07 -3.913773e-07
    > [5,] -3.854694e-07 -3.854694e-07 0.000000e+00 2.409993e-07 -3.164328e-07
    > [6,] -6.321332e-08 -6.321332e-08 -6.321332e-08 1.064345e-07 -4.340476e-08
    > [7,] -7.377432e-08 -7.377432e-08 -7.377432e-08 -6.209700e-08 -4.102726e-08
    > [8,] -1.705303e-07 0.000000e+00 0.000000e+00 -2.619649e-08 1.039898e-08
    > [9,] -1.062900e-07 0.000000e+00 -1.062900e-07 1.209281e-07 3.235444e-08
    > [10,] -7.771561e-09 0.000000e+00 0.000000e+00 -9.608886e-09 3.170071e-09
    568,577c568,577
    < [1,] -2.408074e-07 0.000000e+00 -2.408074e-07 2.572885e-07 -1.032864e-07
    < [2,] -2.426948e-07 0.000000e+00 -2.426948e-07 5.286336e-08 7.149616e-08
    < [3,] -2.179368e-07 -2.179368e-07 -2.179368e-07 2.238962e-07 -1.953561e-07
    < [4,] -2.122746e-07 -2.122746e-07 -2.122746e-07 1.548738e-07 -1.865725e-07
    < [5,] -3.450573e-07 -3.450573e-07 0.000000e+00 2.157493e-07 -2.832703e-07
    < [6,] -6.455947e-08 -6.455947e-08 -6.455947e-08 1.089948e-07 -4.441036e-08
    < [7,] -1.988409e-07 -1.988409e-07 -1.988409e-07 -1.665983e-07 -1.100784e-07
    < [8,] -2.344791e-07 0.000000e+00 0.000000e+00 -3.611390e-08 1.424968e-08
    < [9,] -7.267797e-08 0.000000e+00 -7.267797e-08 8.264957e-08 2.203078e-08
    < [10,] -1.126599e-07 0.000000e+00 0.000000e+00 -1.409216e-07 4.281030e-08
    ---
    > [1,] -2.412515e-07 0.000000e+00 -2.412515e-07 2.575105e-07 -1.028424e-07
    > [2,] -2.428058e-07 0.000000e+00 -2.428058e-07 5.277654e-08 7.163994e-08
    > [3,] -2.184919e-07 -2.184919e-07 -2.184919e-07 2.240130e-07 -1.956659e-07
    > [4,] -2.122746e-07 -2.122746e-07 -2.122746e-07 1.548738e-07 -1.870166e-07
    > [5,] -3.455014e-07 -3.455014e-07 0.000000e+00 2.160269e-07 -2.840792e-07
    > [6,] -6.454559e-08 -6.454559e-08 -6.454559e-08 1.089714e-07 -4.451183e-08
    > [7,] -1.989520e-07 -1.989520e-07 -1.989520e-07 -1.663297e-07 -1.100477e-07
    > [8,] -2.344791e-07 0.000000e+00 0.000000e+00 -3.598585e-08 1.435383e-08
    > [9,] -7.256695e-08 0.000000e+00 -7.256695e-08 8.252467e-08 2.214180e-08
    > [10,] -1.127709e-07 0.000000e+00 0.000000e+00 -1.413732e-07 4.272432e-08
    579,588c579,588
    < [1,] -1.991740e-07 0.000000e+00 -1.991740e-07 2.127801e-07 -8.475514e-08
    < [2,] -1.799672e-07 0.000000e+00 -1.799672e-07 3.897695e-08 5.306621e-08
    < [3,] -1.948441e-07 -1.948441e-07 -1.948441e-07 1.999572e-07 -1.747143e-07
    < [4,] -3.557155e-07 -3.557155e-07 -3.557155e-07 2.593768e-07 -3.125180e-07
    < [5,] -4.201084e-07 -4.201084e-07 0.000000e+00 2.623051e-07 -3.446826e-07
    < [6,] -7.015222e-08 -7.015222e-08 -7.015222e-08 1.182860e-07 -4.851452e-08
    < [7,] -2.112754e-07 -2.112754e-07 -2.112754e-07 -1.769999e-07 -1.171085e-07
    < [8,] -2.338130e-07 0.000000e+00 0.000000e+00 -3.597939e-08 1.489860e-08
    < [9,] -6.844525e-08 0.000000e+00 -6.844525e-08 7.781475e-08 2.095234e-08
    < [10,] -1.224021e-07 0.000000e+00 0.000000e+00 -1.537669e-07 4.663853e-08
    ---
    > [1,] -1.992850e-07 0.000000e+00 -1.992850e-07 2.130097e-07 -8.491351e-08
    > [2,] -1.801892e-07 0.000000e+00 -1.801892e-07 3.897695e-08 5.295519e-08
    > [3,] -1.947331e-07 -1.947331e-07 -1.947331e-07 1.996241e-07 -1.747143e-07
    > [4,] -3.566036e-07 -3.566036e-07 -3.566036e-07 2.592565e-07 -3.124639e-07
    > [5,] -4.209966e-07 -4.209966e-07 0.000000e+00 2.624161e-07 -3.458564e-07
    > [6,] -7.049916e-08 -7.049916e-08 -7.049916e-08 1.184342e-07 -4.855208e-08
    > [7,] -2.114975e-07 -2.114975e-07 -2.114975e-07 -1.772595e-07 -1.173365e-07
    > [8,] -2.342571e-07 0.000000e+00 0.000000e+00 -3.582545e-08 1.459302e-08
    > [9,] -6.832035e-08 0.000000e+00 -6.832035e-08 7.768985e-08 2.096622e-08
    > [10,] -1.226519e-07 0.000000e+00 0.000000e+00 -1.538026e-07 4.659479e-08
    590,599c590,599
    < [1,] 1.376677e-08 1.076916e-08 3.019807e-08
    < [2,] 1.387779e-08 1.165734e-08 3.541611e-08
    < [3,] 4.252154e-08 5.040413e-08 3.874678e-08
    < [4,] -3.739231e-07 -7.793766e-07 -3.330669e-08
    < [5,] -3.281819e-07 -6.572520e-07 -6.030731e-07
    < [6,] 2.664535e-09 1.681988e-08 1.025569e-08
    < [7,] 1.687539e-08 1.915135e-08 3.730349e-08
    < [8,] 4.485301e-08 4.640732e-08 3.064216e-08
    < [9,] 9.547918e-09 2.295386e-08 1.103284e-08
    < [10,] 0.000000e+00 2.275957e-09 2.425837e-08
    ---
    > [1,] 1.387779e-08 1.121325e-08 3.030909e-08
    > [2,] 1.332268e-08 1.143530e-08 3.552714e-08
    > [3,] 4.229950e-08 5.040413e-08 3.863576e-08
    > [4,] -3.739231e-07 -7.802647e-07 -3.375078e-08
    > [5,] -3.281819e-07 -6.576961e-07 -6.030731e-07
    > [6,] 2.303713e-09 1.670886e-08 1.026956e-08
    > [7,] 1.743050e-08 1.953993e-08 3.752554e-08
    > [8,] 4.474199e-08 4.629630e-08 3.086420e-08
    > [9,] 9.298118e-09 2.282896e-08 1.078304e-08
    > [10,] -1.110223e-10 2.164935e-09 2.411960e-08
    601c601
    < [1] -7.793766e-07 3.241343e-07
    ---
    > [1] -7.802647e-07 3.247817e-07
    604,613c604,613
    < [1,] 1.172539e-06 NaN 1.172539e-06 1.181710e-06 1.170315e-06
    < [2,] 4.897873e-07 NaN 4.897873e-07 4.911986e-07 4.892079e-07
    < [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719547e-07 7.711369e-07
    < [4,] -2.975603e-07 -2.975603e-07 -2.975603e-07 -2.976685e-07 -2.977415e-07
    < [5,] -4.197512e-07 -4.197512e-07 NaN -4.198659e-07 -4.199933e-07
    < [6,] 1.031653e-06 1.031653e-06 1.031653e-06 1.032718e-06 1.035716e-06
    < [7,] -1.042044e-06 -1.042044e-06 -1.042044e-06 -1.040062e-06 -1.040227e-06
    < [8,] -7.585615e-07 NaN NaN -7.634856e-07 -7.635966e-07
    < [9,] 8.724623e-07 NaN 8.724623e-07 8.730429e-07 8.713498e-07
    < [10,] -1.594374e-06 NaN NaN -1.571777e-06 -1.688243e-06
    ---
    > [1,] 1.169727e-06 NaN 1.169727e-06 1.181532e-06 1.167503e-06
    > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
    > [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719682e-07 7.722624e-07
    > [4,] -2.984521e-07 -2.984521e-07 -2.984521e-07 -2.982630e-07 -2.983360e-07
    > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
    > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
    > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
    > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
    > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
    > [10,] -1.623363e-06 NaN NaN -1.600836e-06 -1.740423e-06
    615,624c615,624
    < [1,] -5.386585e-07 NaN -5.386585e-07 -5.389699e-07 -5.417569e-07
    < [2,] -5.535818e-07 NaN -5.535818e-07 -5.531841e-07 -5.526840e-07
    < [3,] -5.878059e-07 -5.878059e-07 -5.878059e-07 -5.885737e-07 -5.886354e-07
    < [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.254369e-07
    < [5,] 3.892690e-07 3.892690e-07 NaN 3.894043e-07 3.889638e-07
    < [6,] -9.982019e-07 -9.982019e-07 -9.982019e-07 -9.991444e-07 -9.971267e-07
    < [7,] 6.218852e-07 6.218852e-07 6.218852e-07 6.219296e-07 6.215289e-07
    < [8,] 5.603366e-07 NaN NaN 5.626911e-07 5.500184e-07
    < [9,] -9.667911e-07 NaN -9.667911e-07 -9.659973e-07 -9.578363e-07
    < [10,] 8.278502e-07 NaN NaN 8.258985e-07 8.268165e-07
    ---
    > [1,] -5.396519e-07 NaN -5.396519e-07 -5.394351e-07 -5.394276e-07
    > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
    > [3,] -5.893031e-07 -5.893031e-07 -5.893031e-07 -5.888807e-07 -5.895688e-07
    > [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.269256e-07
    > [5,] 3.897700e-07 3.897700e-07 NaN 3.899053e-07 3.900746e-07
    > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
    > [7,] 6.222324e-07 6.222324e-07 6.222324e-07 6.209271e-07 6.213553e-07
    > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
    > [9,] -9.653143e-07 NaN -9.653143e-07 -9.645375e-07 -9.626632e-07
    > [10,] 8.286660e-07 NaN NaN 8.285449e-07 8.251560e-07
    626,635c626,635
    < [1,] 6.344491e-07 NaN 6.344491e-07 6.347396e-07 6.330639e-07
    < [2,] 7.477358e-07 NaN 7.477358e-07 7.429443e-07 7.472152e-07
    < [3,] 6.758559e-07 6.758559e-07 6.758559e-07 6.760121e-07 6.770351e-07
    < [4,] 4.496996e-07 4.496996e-07 4.496996e-07 4.498713e-07 4.499190e-07
    < [5,] 3.374324e-07 3.374324e-07 NaN 3.370737e-07 3.369725e-07
    < [6,] 9.966304e-07 9.966304e-07 9.966304e-07 9.962999e-07 1.000857e-06
    < [7,] -6.145786e-07 -6.145786e-07 -6.145786e-07 -6.145651e-07 -6.149950e-07
    < [8,] -5.974969e-07 NaN NaN -5.994757e-07 -6.149497e-07
    < [9,] 1.027925e-06 NaN 1.027925e-06 1.026799e-06 1.028447e-06
    < [10,] -8.015593e-07 NaN NaN -8.031124e-07 -8.027310e-07
    ---
    > [1,] 6.348028e-07 NaN 6.348028e-07 6.354245e-07 6.342468e-07
    > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
    > [3,] 6.754708e-07 6.754708e-07 6.754708e-07 6.748861e-07 6.770351e-07
    > [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.496625e-07 4.498411e-07
    > [5,] 3.381458e-07 3.381458e-07 NaN 3.372164e-07 3.381200e-07
    > [6,] 1.001559e-06 1.001559e-06 1.001559e-06 9.975476e-07 1.001632e-06
    > [7,] -6.152245e-07 -6.152245e-07 -6.152245e-07 -6.154662e-07 -6.161925e-07
    > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
    > [9,] 1.026049e-06 NaN 1.026049e-06 1.025151e-06 1.029128e-06
    > [10,] -8.031951e-07 NaN NaN -8.032986e-07 -8.019783e-07
    637,646c637,646
    < [1,] -1.537802e-06 3.402760e-07 -1.869386e-07
    < [2,] -6.579764e-08 4.805039e-08 -2.672256e-07
    < [3,] -8.684877e-07 4.254080e-07 -2.999057e-07
    < [4,] -6.303767e-07 8.227581e-07 1.042435e-07
    < [5,] 4.715963e-07 7.290201e-07 -5.933169e-07
    < [6,] -1.280657e-06 1.112974e-06 -1.565810e-06
    < [7,] -1.386765e-06 3.468485e-07 -2.889471e-07
    < [8,] -7.226074e-07 2.908585e-07 -1.594500e-07
    < [9,] -2.453775e-06 9.343661e-07 -1.432711e-06
    < [10,] 0.000000e+00 7.208235e-07 -9.101042e-07
    ---
    > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
    > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
    > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
    > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
    > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
    > [6,] -1.107235e-06 1.105627e-06 -1.567929e-06
    > [7,] -1.432382e-06 3.538860e-07 -2.906671e-07
    > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
    > [9,] -2.389577e-06 9.292818e-07 -1.400272e-06
    > [10,] 3.668841e-07 6.856613e-07 -9.048976e-07
    648c648
    < [1] -9.386900e-08 2.259713e-08
    ---
    > [1] -1.170599e-07 2.252657e-08
    651,660c651,660
    < [1,] 0 0 0 3.866577e-10 3.745312e-11 0 0 0
    < [2,] 0 0 0 1.907821e-10 -1.060298e-10 0 0 0
    < [3,] 0 0 0 1.223789e-10 4.611900e-11 0 0 0
    < [4,] 0 0 0 1.178655e-10 -2.377472e-10 0 0 0
    < [5,] 0 0 0 6.575163e-11 -1.824645e-10 0 0 0
    < [6,] 0 0 0 1.094737e-10 -1.704445e-10 0 0 0
    < [7,] 0 0 0 1.182429e-10 7.165793e-11 0 0 0
    < [8,] 0 0 0 -1.697814e-10 7.008022e-11 0 0 0
    < [9,] 0 0 0 8.041684e-11 -4.142313e-11 0 0 0
    < [10,] 0 0 0 1.356374e-10 1.709765e-10 0 0 0
    ---
    > [1,] 0 0 0 4.976800e-10 3.745312e-11 0 0 0
    > [2,] 0 0 0 -3.643294e-10 -1.060298e-10 0 0 0
    > [3,] 0 0 0 1.252659e-10 -1.642822e-10 0 0 0
    > [4,] 0 0 0 -2.058271e-10 1.522227e-10 0 0 0
    > [5,] 0 0 0 6.575140e-11 2.616248e-10 0 0 0
    > [6,] 0 0 0 -1.869624e-10 1.264781e-10 0 0 0
    > [7,] 0 0 0 -2.898278e-10 -1.623588e-10 0 0 0
    > [8,] 0 0 0 -4.173131e-11 -1.588380e-10 0 0 0
    > [9,] 0 0 0 -4.448322e-11 -1.663232e-10 0 0 0
    > [10,] 0 0 0 1.352138e-10 2.132173e-10 0 0 0
    662,671c662,671
    < [1,] 1.486793e-10 -5.907174e-10 0 0 0 9.739193e-11 1.854486e-10
    < [2,] -3.800472e-11 -1.161413e-10 0 0 0 -2.513731e-10 -3.696585e-11
    < [3,] 2.920912e-10 -2.752966e-10 0 0 0 4.620376e-11 -3.043096e-10
    < [4,] 1.486723e-10 -1.670018e-10 0 0 0 9.897294e-11 -1.523540e-10
    < [5,] 7.493595e-11 2.222942e-10 0 0 0 -2.791867e-10 4.704919e-10
    < [6,] 1.028245e-10 4.788751e-11 0 0 0 -3.923527e-11 -2.048743e-10
    < [7,] -1.190298e-11 6.309231e-11 0 0 0 3.886502e-12 -7.929002e-11
    < [8,] -1.511131e-10 -2.673207e-10 0 0 0 -1.187615e-10 4.228351e-10
    < [9,] -6.792164e-11 -2.059669e-10 0 0 0 -8.531933e-11 1.064933e-11
    < [10,] 3.330139e-10 -5.351829e-11 0 0 0 -2.973679e-10 6.808094e-11
    ---
    > [1,] -1.034852e-10 4.275993e-11 0 0 0 2.084143e-10 7.442630e-11
    > [2,] -1.490270e-10 -5.118989e-12 0 0 0 -2.997732e-10 -2.135072e-10
    > [3,] -1.606591e-10 -8.818213e-11 0 0 0 -1.729538e-10 -4.036885e-10
    > [4,] 1.486723e-10 -6.110910e-10 0 0 0 -6.688090e-10 6.817048e-10
    > [5,] 7.493617e-11 -2.217951e-10 0 0 0 -7.232756e-10 2.640244e-11
    > [6,] 1.028245e-10 -6.313480e-11 0 0 0 -4.762960e-10 -3.519740e-12
    > [7,] 3.496612e-10 1.553381e-10 0 0 0 -6.963397e-11 -1.843262e-10
    > [8,] -2.306301e-11 -1.631720e-10 0 0 0 1.032831e-10 8.976823e-11
    > [9,] -6.646317e-11 -6.097595e-11 0 0 0 -6.806601e-11 6.274188e-11
    > [10,] 2.065775e-11 -1.817360e-10 0 0 0 -1.981207e-11 -7.069692e-11
    684c684
    < [1] -5.907174e-10 4.704919e-10
    ---
    > [1] -7.232756e-10 6.817048e-10
    720,726c720,726
    < 1 0.2564698 0 0 -0.08661131 0 0 0.09743039
    < 2 0.1008447 0 0 -0.05986199 0 0 -0.02843850
    < 3 0.1674119 0 0 -0.09902071 0 0 0.26025246
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0 0 -0.05780532 0 0
    < 2 0 0 0.03660826 0 0
    < 3 0 0 -0.13728324 0 0
    ---
    > 1 0.2564698 0 0 -0.08661131 0 0 0.09745006
    > 2 0.1008447 0 0 -0.05986199 0 0 -0.02843561
    > 3 0.1674119 0 0 -0.09902071 0 0 0.26025301
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0 0 -0.05781656 0 0
    > 2 0 0 0.03660661 0 0
    > 3 0 0 -0.13728355 0 0
    735,737c735,737
    < 1 -0.097801103 0 0 -0.26755261 0
    < 2 -0.109438030 0 0 -0.14562511 0
    < 3 0.002346862 0 0 -0.06316801 0
    ---
    > 1 -0.097864360 0 0 -0.26763695 0
    > 2 -0.109431756 0 0 -0.14561675 0
    > 3 0.002384426 0 0 -0.06311792 0
    746,748c746,748
    < 1 0 -0.079158382 0 0 -0.14677670
    < 2 0 -0.067116460 0 0 -0.07088185
    < 3 0 -0.006515311 0 0 -0.06808212
    ---
    > 1 0 -0.079174593 0 0 -0.14679438
    > 2 0 -0.067129404 0 0 -0.07089597
    > 3 0 -0.006504764 0 0 -0.06807061
    753,759c753,759
    < 1 -0.08661131 0 0 0.08031764 0 0 -0.04381692
    < 2 -0.05986199 0 0 0.15517620 0 0 0.06216022
    < 3 -0.09902071 0 0 0.17981312 0 0 -0.13346812
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0 0 0.02672620 0 0
    < 2 0 0 -0.04832780 0 0
    < 3 0 0 0.06428241 0 0
    ---
    > 1 -0.08661131 0 0 0.08031764 0 0 -0.04382571
    > 2 -0.05986199 0 0 0.15517620 0 0 0.06215841
    > 3 -0.09902071 0 0 0.17981312 0 0 -0.13348402
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0 0 0.02673122 0 0
    > 2 0 0 -0.04832676 0 0
    > 3 0 0 0.06429149 0 0
    768,770c768,770
    < 1 0.066791094 0 0 0.04863166 0
    < 2 0.060255068 0 0 0.08046264 0
    < 3 0.002278392 0 0 -0.06336149 0
    ---
    > 1 0.066772450 0 0 0.04860680 0
    > 2 0.060257699 0 0 0.08046615 0
    > 3 0.002315954 0 0 -0.06331141 0
    779,781c779,781
    < 1 0 0.03466714 0 0 -0.01413605
    < 2 0 0.05013561 0 0 0.05646223
    < 3 0 -0.01225009 0 0 -0.07878877
    ---
    > 1 0 0.03465320 0 0 -0.01415125
    > 2 0 0.05013794 0 0 0.05646477
    > 3 0 -0.01224124 0 0 -0.07877912
    786,792c786,792
    < 1 0.09743039 0 0 -0.04381692 0 0 0.05517381
    < 2 -0.02843850 0 0 0.06216022 0 0 0.16854587
    < 3 0.26025246 0 0 -0.13346812 0 0 0.43541851
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0 0 -0.03140734 0 0
    < 2 0 0 -0.03514956 0 0
    < 3 0 0 -0.20370618 0 0
    ---
    > 1 0.09745006 0 0 -0.04382571 0 0 0.05519428
    > 2 -0.02843561 0 0 0.06215841 0 0 0.16853922
    > 3 0.26025301 0 0 -0.13348402 0 0 0.43540458
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0 0 -0.03141844 0 0
    > 2 0 0 -0.03511586 0 0
    > 3 0 0 -0.20370677 0 0
    797,803c797,803
    < 1 0 -0.097801103 0 0 0.066791094 0 0
    < 2 0 -0.109438030 0 0 0.060255068 0 0
    < 3 0 0.002346862 0 0 0.002278392 0 0
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.1313755 0 0 0.1746719 0
    < 2 0.2110680 0 0 0.1571977 0
    < 3 0.2938075 0 0 0.4621366 0
    ---
    > 1 0 -0.097864360 0 0 0.066772450 0 0
    > 2 0 -0.109431756 0 0 0.060257699 0 0
    > 3 0 0.002384426 0 0 0.002315954 0 0
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.1313341 0 0 0.1747352 0
    > 2 0.2111337 0 0 0.1572311 0
    > 3 0.2939648 0 0 0.4622561 0
    808,814c808,814
    < 1 0 0 -0.079158382 0 0 0.03466714 0
    < 2 0 0 -0.067116460 0 0 0.05013561 0
    < 3 0 0 -0.006515311 0 0 -0.01225009 0
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0 0.1485937 0 0 0.1937855
    < 2 0 0.1903930 0 0 0.1110189
    < 3 0 0.2574540 0 0 0.3424057
    ---
    > 1 0 0 -0.079174593 0 0 0.03465320 0
    > 2 0 0 -0.067129404 0 0 0.05013794 0
    > 3 0 0 -0.006504764 0 0 -0.01224124 0
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0 0.1485878 0 0 0.1938073
    > 2 0 0.1904044 0 0 0.1110330
    > 3 0 0.2576453 0 0 0.3426052
    819,825c819,825
    < 1 -0.05780532 0 0 0.02672620 0 0 -0.03140734
    < 2 0.03660826 0 0 -0.04832780 0 0 -0.03514956
    < 3 -0.13728324 0 0 0.06428241 0 0 -0.20370618
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0 0 0.0212204 0 0
    < 2 0 0 0.1815106 0 0
    < 3 0 0 0.1465636 0 0
    ---
    > 1 -0.05781656 0 0 0.02673122 0 0 -0.03141844
    > 2 0.03660661 0 0 -0.04832676 0 0 -0.03511586
    > 3 -0.13728355 0 0 0.06429149 0 0 -0.20370677
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0 0 0.02122641 0 0
    > 2 0 0 0.18147422 0 0
    > 3 0 0 0.14656887 0 0
    830,836c830,836
    < 1 0 -0.26755261 0 0 0.04863166 0 0
    < 2 0 -0.14562511 0 0 0.08046264 0 0
    < 3 0 -0.06316801 0 0 -0.06336149 0 0
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.1746719 0 0 0.5410290 0
    < 2 0.1571977 0 0 0.3020335 0
    < 3 0.4621366 0 0 0.9435256 0
    ---
    > 1 0 -0.26763695 0 0 0.04860680 0 0
    > 2 0 -0.14561675 0 0 0.08046615 0 0
    > 3 0 -0.06311792 0 0 -0.06331141 0 0
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.1747352 0 0 0.5412714 0
    > 2 0.1572311 0 0 0.3020058 0
    > 3 0.4622561 0 0 0.9435647 0
    841,847c841,847
    < 1 0 0 -0.14677670 0 0 -0.01413605 0
    < 2 0 0 -0.07088185 0 0 0.05646223 0
    < 3 0 0 -0.06808212 0 0 -0.07878877 0
    < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0 0.1937855 0 0 0.4115219
    < 2 0 0.1110189 0 0 0.2012421
    < 3 0 0.3424057 0 0 0.6086354
    ---
    > 1 0 0 -0.14679438 0 0 -0.01415125 0
    > 2 0 0 -0.07089597 0 0 0.05646477 0
    > 3 0 0 -0.06807061 0 0 -0.07877912 0
    > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0 0.1938073 0 0 0.4115764
    > 2 0 0.1110330 0 0 0.2012592
    > 3 0 0.3426052 0 0 0.6088430
    858,859c858,859
    < d_y2_d_x3 0.0000000000 -0.10506166 0.00000000 0.000000000 -0.06458309
    < d_y3_d_x3 0.0000000000 0.00000000 -0.06059759 0.000000000 0.00000000
    ---
    > d_y2_d_x3 0.0000000000 -0.10504549 0.00000000 0.000000000 -0.06457314
    > d_y3_d_x3 0.0000000000 0.00000000 -0.06060813 0.000000000 0.00000000
    861,862c861,862
    < d_y2_d_x4 0.0000000000 -0.19958499 0.00000000 0.000000000 -0.12268809
    < d_y3_d_x4 0.0000000000 0.00000000 -0.10144935 0.000000000 0.00000000
    ---
    > d_y2_d_x4 0.0000000000 -0.19956343 0.00000000 0.000000000 -0.12267484
    > d_y3_d_x4 0.0000000000 0.00000000 -0.10146086 0.000000000 0.00000000
    865,866c865,866
    < d_y2_d_x1 0.00000000 0.0000000000 -0.10506166 0.00000000 0.0000000000
    < d_y3_d_x1 0.06144675 0.0000000000 0.00000000 -0.06059759 0.0000000000
    ---
    > d_y2_d_x1 0.00000000 0.0000000000 -0.10504549 0.00000000 0.0000000000
    > d_y3_d_x1 0.06144675 0.0000000000 0.00000000 -0.06060813 0.0000000000
    868,869c868,869
    < d_y2_d_x2 0.00000000 0.0000000000 -0.06458309 0.00000000 0.0000000000
    < d_y3_d_x2 0.16593068 0.0000000000 0.00000000 -0.07052900 0.0000000000
    ---
    > d_y2_d_x2 0.00000000 0.0000000000 -0.06457314 0.00000000 0.0000000000
    > d_y3_d_x2 0.16593068 0.0000000000 0.00000000 -0.07054128 0.0000000000
    871,872c871,872
    < d_y2_d_x3 0.00000000 0.0000000000 0.08926007 0.00000000 0.0000000000
    < d_y3_d_x3 -0.07052900 0.0000000000 0.00000000 0.07841036 0.0000000000
    ---
    > d_y2_d_x3 0.00000000 0.0000000000 0.08920869 0.00000000 0.0000000000
    > d_y3_d_x3 -0.07054128 0.0000000000 0.00000000 0.07844472 0.0000000000
    874,875c874,875
    < d_y2_d_x4 0.00000000 0.0000000000 0.15893909 0.00000000 0.0000000000
    < d_y3_d_x4 -0.11807602 0.0000000000 0.00000000 0.12013414 0.0000000000
    ---
    > d_y2_d_x4 0.00000000 0.0000000000 0.15887999 0.00000000 0.0000000000
    > d_y3_d_x4 -0.11808941 0.0000000000 0.00000000 0.12015391 0.0000000000
    878,879c878,879
    < d_y2_d_x1 -0.1995850 0.0000000
    < d_y3_d_x1 0.0000000 -0.1014494
    ---
    > d_y2_d_x1 -0.1995634 0.0000000
    > d_y3_d_x1 0.0000000 -0.1014609
    881,882c881,882
    < d_y2_d_x2 -0.1226881 0.0000000
    < d_y3_d_x2 0.0000000 -0.1180760
    ---
    > d_y2_d_x2 -0.1226748 0.0000000
    > d_y3_d_x2 0.0000000 -0.1180894
    884,885c884,885
    < d_y2_d_x3 0.1589391 0.0000000
    < d_y3_d_x3 0.0000000 0.1201341
    ---
    > d_y2_d_x3 0.1588800 0.0000000
    > d_y3_d_x3 0.0000000 0.1201539
    887,888c887,888
    < d_y2_d_x4 0.3123363 0.0000000
    < d_y3_d_x4 0.0000000 0.2148557
    ---
    > d_y2_d_x4 0.3122700 0.0000000
    > d_y3_d_x4 0.0000000 0.2148580
    891,1010c891,1010
    < 1: d_y1_d_x1 0.180673 0.506428 0.357 0.7213
    < 1: d_y2_d_x1 0.219666 0.420176 0.523 0.6011
    < 1: d_y3_d_x1 -0.122356 0.286500 -0.427 0.6693
    < 1: d_y1_d_x2 -0.129203 0.283404 -0.456 0.6485
    < 1: d_y2_d_x2 0.225810 0.348047 0.649 0.5165
    < 1: d_y3_d_x2 -0.241208 0.329144 -0.733 0.4637
    < 1: d_y1_d_x3 0.070273 0.234891 0.299 0.7648
    < 1: d_y2_d_x3 -0.400098 0.362458 -1.104 0.2697
    < 1: d_y3_d_x3 0.302437 0.385478 0.785 0.4327
    < 1: d_y1_d_x4 -0.040156 0.145672 -0.276 0.7828
    < 1: d_y2_d_x4 -0.533464 0.735547 -0.725 0.4683
    < 1: d_y3_d_x4 0.329931 0.641500 0.514 0.6070
    < 2: d_y1_d_x1 0.430122 0.317561 1.354 0.1756
    < 2: d_y2_d_x1 0.190084 0.327883 0.580 0.5621
    < 2: d_y3_d_x1 -0.131959 0.254364 -0.519 0.6039
    < 2: d_y1_d_x2 -0.373654 0.393924 -0.949 0.3429
    < 2: d_y2_d_x2 0.215256 0.319713 0.673 0.5008
    < 2: d_y3_d_x2 -0.248972 0.312271 -0.797 0.4253
    < 2: d_y1_d_x3 0.538657 0.410543 1.312 0.1895
    < 2: d_y2_d_x3 -0.365765 0.459421 -0.796 0.4259
    < 2: d_y3_d_x3 0.320224 0.436340 0.734 0.4630
    < 2: d_y1_d_x4 -0.307804 0.426041 -0.722 0.4700
    < 2: d_y2_d_x4 -0.487687 0.549576 -0.887 0.3749
    < 2: d_y3_d_x4 0.349336 0.448600 0.779 0.4361
    < 3: d_y1_d_x1 0.115233 0.409160 0.282 0.7782
    < 3: d_y2_d_x1 0.367505 0.351286 1.046 0.2955
    < 3: d_y3_d_x1 -0.203146 0.350334 -0.580 0.5620
    < 3: d_y1_d_x2 -0.314837 0.424044 -0.742 0.4578
    < 3: d_y2_d_x2 0.208986 0.351459 0.595 0.5521
    < 3: d_y3_d_x2 -0.242199 0.360140 -0.673 0.5013
    < 3: d_y1_d_x3 0.287480 0.659862 0.436 0.6631
    < 3: d_y2_d_x3 -0.347907 0.542040 -0.642 0.5210
    < 3: d_y3_d_x3 0.304625 0.507399 0.600 0.5483
    < 3: d_y1_d_x4 -0.164274 0.382836 -0.429 0.6679
    < 3: d_y2_d_x4 -0.463876 0.971352 -0.478 0.6330
    < 3: d_y3_d_x4 0.332318 0.780151 0.426 0.6701
    < 4: d_y1_d_x1 0.207611 0.540019 0.384 0.7006
    < 4: d_y2_d_x1 0.382763 0.357810 1.070 0.2847
    < 4: d_y3_d_x1 -0.228889 0.357614 -0.640 0.5221
    < 4: d_y1_d_x2 -0.374273 0.337358 -1.109 0.2672
    < 4: d_y2_d_x2 0.232552 0.363994 0.639 0.5229
    < 4: d_y3_d_x2 -0.268560 0.355628 -0.755 0.4501
    < 4: d_y1_d_x3 0.430074 0.609132 0.706 0.4802
    < 4: d_y2_d_x3 -0.428740 0.443667 -0.966 0.3339
    < 4: d_y3_d_x3 0.377649 0.445647 0.847 0.3968
    < 4: d_y1_d_x4 -0.245757 0.366506 -0.671 0.5025
    < 4: d_y2_d_x4 -0.571653 0.778475 -0.734 0.4628
    < 4: d_y3_d_x4 0.411980 0.688013 0.599 0.5493
    < 5: d_y1_d_x1 0.448007 0.365489 1.226 0.2203
    < 5: d_y2_d_x1 0.312561 0.479915 0.651 0.5149
    < 5: d_y3_d_x1 -0.209051 0.417286 -0.501 0.6164
    < 5: d_y1_d_x2 -0.382741 0.346813 -1.104 0.2698
    < 5: d_y2_d_x2 0.233731 0.366815 0.637 0.5240
    < 5: d_y3_d_x2 -0.270658 0.358474 -0.755 0.4502
    < 5: d_y1_d_x3 0.500660 0.633149 0.791 0.4291
    < 5: d_y2_d_x3 -0.472298 0.460163 -1.026 0.3047
    < 5: d_y3_d_x3 0.430288 0.465925 0.924 0.3557
    < 5: d_y1_d_x4 -0.286091 0.511348 -0.559 0.5758
    < 5: d_y2_d_x4 -0.629731 0.347755 -1.811 0.0702 .
    < 5: d_y3_d_x4 0.469405 0.346199 1.356 0.1751
    < 6: d_y1_d_x1 0.026992 0.154501 0.175 0.8613
    < 6: d_y2_d_x1 0.150920 0.460658 0.328 0.7432
    < 6: d_y3_d_x1 -0.075837 0.270198 -0.281 0.7790
    < 6: d_y1_d_x2 -0.152890 0.463512 -0.330 0.7415
    < 6: d_y2_d_x2 0.065760 0.246988 0.266 0.7900
    < 6: d_y3_d_x2 -0.095750 0.322528 -0.297 0.7666
    < 6: d_y1_d_x3 0.089736 0.391254 0.229 0.8186
    < 6: d_y2_d_x3 -0.075467 0.325988 -0.232 0.8169
    < 6: d_y3_d_x3 0.082394 0.333238 0.247 0.8047
    < 6: d_y1_d_x4 -0.051278 0.237088 -0.216 0.8288
    < 6: d_y2_d_x4 -0.100623 0.507245 -0.198 0.8428
    < 6: d_y3_d_x4 0.089885 0.439736 0.204 0.8380
    < 7: d_y1_d_x1 0.256301 0.455234 0.563 0.5734
    < 7: d_y2_d_x1 0.157029 0.440389 0.357 0.7214
    < 7: d_y3_d_x1 -0.133023 0.380718 -0.349 0.7268
    < 7: d_y1_d_x2 -0.038667 0.164698 -0.235 0.8144
    < 7: d_y2_d_x2 0.118400 0.358181 0.331 0.7410
    < 7: d_y3_d_x2 -0.147251 0.404268 -0.364 0.7157
    < 7: d_y1_d_x3 0.125116 0.403976 0.310 0.7568
    < 7: d_y2_d_x3 -0.321710 0.522218 -0.616 0.5379
    < 7: d_y3_d_x3 0.322151 0.467820 0.689 0.4911
    < 7: d_y1_d_x4 -0.071495 0.285471 -0.250 0.8022
    < 7: d_y2_d_x4 -0.428947 0.737887 -0.581 0.5610
    < 7: d_y3_d_x4 0.351437 0.549872 0.639 0.5227
    < 8: d_y1_d_x1 0.131828 0.200736 0.657 0.5114
    < 8: d_y2_d_x1 0.376948 0.385153 0.979 0.3277
    < 8: d_y3_d_x1 -0.226111 0.404274 -0.559 0.5760
    < 8: d_y1_d_x2 -0.330778 0.434486 -0.761 0.4465
    < 8: d_y2_d_x2 0.219460 0.406098 0.540 0.5889
    < 8: d_y3_d_x2 -0.265927 0.401733 -0.662 0.5080
    < 8: d_y1_d_x3 0.317023 0.380622 0.833 0.4049
    < 8: d_y2_d_x3 -0.378620 0.378829 -0.999 0.3176
    < 8: d_y3_d_x3 0.367771 0.372295 0.988 0.3232
    < 8: d_y1_d_x4 -0.181156 0.289976 -0.625 0.5321
    < 8: d_y2_d_x4 -0.504827 0.485713 -1.039 0.2986
    < 8: d_y3_d_x4 0.401205 0.424522 0.945 0.3446
    < 9: d_y1_d_x1 0.302950 0.601313 0.504 0.6144
    < 9: d_y2_d_x1 0.029627 0.119098 0.249 0.8035
    < 9: d_y3_d_x1 -0.026668 0.103269 -0.258 0.7962
    < 9: d_y1_d_x2 -0.230896 0.364964 -0.633 0.5270
    < 9: d_y2_d_x2 0.072908 0.184501 0.395 0.6927
    < 9: d_y3_d_x2 -0.097100 0.225089 -0.431 0.6662
    < 9: d_y1_d_x3 0.168372 0.416487 0.404 0.6860
    < 9: d_y2_d_x3 -0.085632 0.254656 -0.336 0.7367
    < 9: d_y3_d_x3 0.083894 0.241357 0.348 0.7281
    < 9: d_y1_d_x4 -0.096212 0.317272 -0.303 0.7617
    < 9: d_y2_d_x4 -0.114176 0.384669 -0.297 0.7666
    < 9: d_y3_d_x4 0.091521 0.303278 0.302 0.7628
    < 10: d_y1_d_x1 0.002096 0.010845 0.193 0.8468
    < 10: d_y2_d_x1 0.242659 0.508848 0.477 0.6334
    < 10: d_y3_d_x1 -0.127937 0.365636 -0.350 0.7264
    < 10: d_y1_d_x2 -0.029343 0.127161 -0.231 0.8175
    < 10: d_y2_d_x2 0.117824 0.349490 0.337 0.7360
    < 10: d_y3_d_x2 -0.157532 0.407346 -0.387 0.6990
    < 10: d_y1_d_x3 0.009359 0.039280 0.238 0.8117
    < 10: d_y2_d_x3 -0.156396 0.298764 -0.523 0.6006
    < 10: d_y3_d_x3 0.159523 0.280018 0.570 0.5689
    < 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.8275
    < 10: d_y2_d_x4 -0.208528 0.558871 -0.373 0.7091
    < 10: d_y3_d_x4 0.174025 0.463525 0.375 0.7073
    ---
    > 1: d_y1_d_x1 0.180673 0.506428 0.357 0.721
    > 1: d_y2_d_x1 0.219666 0.420176 0.523 0.601
    > 1: d_y3_d_x1 -0.122356 0.286500 -0.427 0.669
    > 1: d_y1_d_x2 -0.129203 0.283404 -0.456 0.648
    > 1: d_y2_d_x2 0.225810 0.348047 0.649 0.516
    > 1: d_y3_d_x2 -0.241208 0.329144 -0.733 0.464
    > 1: d_y1_d_x3 0.070273 0.234935 0.299 0.765
    > 1: d_y2_d_x3 -0.400098 0.362400 -1.104 0.270
    > 1: d_y3_d_x3 0.302437 0.385471 0.785 0.433
    > 1: d_y1_d_x4 -0.040156 0.145693 -0.276 0.783
    > 1: d_y2_d_x4 -0.533464 0.735711 -0.725 0.468
    > 1: d_y3_d_x4 0.329931 0.641542 0.514 0.607
    > 2: d_y1_d_x1 0.430122 0.317561 1.354 0.176
    > 2: d_y2_d_x1 0.190084 0.327883 0.580 0.562
    > 2: d_y3_d_x1 -0.131959 0.254364 -0.519 0.604
    > 2: d_y1_d_x2 -0.373654 0.393924 -0.949 0.343
    > 2: d_y2_d_x2 0.215256 0.319713 0.673 0.501
    > 2: d_y3_d_x2 -0.248972 0.312271 -0.797 0.425
    > 2: d_y1_d_x3 0.538657 0.410535 1.312 0.189
    > 2: d_y2_d_x3 -0.365765 0.459493 -0.796 0.426
    > 2: d_y3_d_x3 0.320224 0.436354 0.734 0.463
    > 2: d_y1_d_x4 -0.307804 0.425998 -0.723 0.470
    > 2: d_y2_d_x4 -0.487687 0.549551 -0.887 0.375
    > 2: d_y3_d_x4 0.349336 0.448619 0.779 0.436
    > 3: d_y1_d_x1 0.115233 0.409160 0.282 0.778
    > 3: d_y2_d_x1 0.367505 0.351286 1.046 0.295
    > 3: d_y3_d_x1 -0.203146 0.350334 -0.580 0.562
    > 3: d_y1_d_x2 -0.314837 0.424044 -0.742 0.458
    > 3: d_y2_d_x2 0.208986 0.351459 0.595 0.552
    > 3: d_y3_d_x2 -0.242199 0.360140 -0.673 0.501
    > 3: d_y1_d_x3 0.287480 0.659852 0.436 0.663
    > 3: d_y2_d_x3 -0.347907 0.542185 -0.642 0.521
    > 3: d_y3_d_x3 0.304625 0.507588 0.600 0.548
    > 3: d_y1_d_x4 -0.164274 0.382843 -0.429 0.668
    > 3: d_y2_d_x4 -0.463876 0.971373 -0.478 0.633
    > 3: d_y3_d_x4 0.332318 0.780284 0.426 0.670
    > 4: d_y1_d_x1 0.207611 0.540019 0.384 0.701
    > 4: d_y2_d_x1 0.382763 0.357810 1.070 0.285
    > 4: d_y3_d_x1 -0.228889 0.357614 -0.640 0.522
    > 4: d_y1_d_x2 -0.374273 0.337358 -1.109 0.267
    > 4: d_y2_d_x2 0.232552 0.363994 0.639 0.523
    > 4: d_y3_d_x2 -0.268560 0.355628 -0.755 0.450
    > 4: d_y1_d_x3 0.430074 0.609174 0.706 0.480
    > 4: d_y2_d_x3 -0.428740 0.443926 -0.966 0.334
    > 4: d_y3_d_x3 0.377649 0.445672 0.847 0.397
    > 4: d_y1_d_x4 -0.245757 0.366500 -0.671 0.503
    > 4: d_y2_d_x4 -0.571653 0.778465 -0.734 0.463
    > 4: d_y3_d_x4 0.411980 0.688066 0.599 0.549
    > 5: d_y1_d_x1 0.448007 0.365489 1.226 0.220
    > 5: d_y2_d_x1 0.312561 0.479915 0.651 0.515
    > 5: d_y3_d_x1 -0.209051 0.417286 -0.501 0.616
    > 5: d_y1_d_x2 -0.382741 0.346813 -1.104 0.270
    > 5: d_y2_d_x2 0.233731 0.366815 0.637 0.524
    > 5: d_y3_d_x2 -0.270658 0.358474 -0.755 0.450
    > 5: d_y1_d_x3 0.500660 0.632862 0.791 0.429
    > 5: d_y2_d_x3 -0.472298 0.460031 -1.027 0.305
    > 5: d_y3_d_x3 0.430288 0.466127 0.923 0.356
    > 5: d_y1_d_x4 -0.286091 0.511232 -0.560 0.576
    > 5: d_y2_d_x4 -0.629731 0.347579 -1.812 0.070 .
    > 5: d_y3_d_x4 0.469405 0.346208 1.356 0.175
    > 6: d_y1_d_x1 0.026992 0.154501 0.175 0.861
    > 6: d_y2_d_x1 0.150920 0.460658 0.328 0.743
    > 6: d_y3_d_x1 -0.075837 0.270198 -0.281 0.779
    > 6: d_y1_d_x2 -0.152890 0.463512 -0.330 0.742
    > 6: d_y2_d_x2 0.065760 0.246988 0.266 0.790
    > 6: d_y3_d_x2 -0.095750 0.322528 -0.297 0.767
    > 6: d_y1_d_x3 0.089736 0.391283 0.229 0.819
    > 6: d_y2_d_x3 -0.075467 0.325632 -0.232 0.817
    > 6: d_y3_d_x3 0.082394 0.333304 0.247 0.805
    > 6: d_y1_d_x4 -0.051278 0.237104 -0.216 0.829
    > 6: d_y2_d_x4 -0.100623 0.506839 -0.199 0.843
    > 6: d_y3_d_x4 0.089885 0.439802 0.204 0.838
    > 7: d_y1_d_x1 0.256301 0.455234 0.563 0.573
    > 7: d_y2_d_x1 0.157029 0.440389 0.357 0.721
    > 7: d_y3_d_x1 -0.133023 0.380718 -0.349 0.727
    > 7: d_y1_d_x2 -0.038667 0.164698 -0.235 0.814
    > 7: d_y2_d_x2 0.118400 0.358181 0.331 0.741
    > 7: d_y3_d_x2 -0.147251 0.404268 -0.364 0.716
    > 7: d_y1_d_x3 0.125116 0.404070 0.310 0.757
    > 7: d_y2_d_x3 -0.321710 0.522570 -0.616 0.538
    > 7: d_y3_d_x3 0.322151 0.467820 0.689 0.491
    > 7: d_y1_d_x4 -0.071495 0.285526 -0.250 0.802
    > 7: d_y2_d_x4 -0.428947 0.738264 -0.581 0.561
    > 7: d_y3_d_x4 0.351437 0.549872 0.639 0.523
    > 8: d_y1_d_x1 0.131828 0.200736 0.657 0.511
    > 8: d_y2_d_x1 0.376948 0.385153 0.979 0.328
    > 8: d_y3_d_x1 -0.226111 0.404274 -0.559 0.576
    > 8: d_y1_d_x2 -0.330778 0.434486 -0.761 0.446
    > 8: d_y2_d_x2 0.219460 0.406098 0.540 0.589
    > 8: d_y3_d_x2 -0.265927 0.401733 -0.662 0.508
    > 8: d_y1_d_x3 0.317023 0.380555 0.833 0.405
    > 8: d_y2_d_x3 -0.378620 0.378870 -0.999 0.318
    > 8: d_y3_d_x3 0.367771 0.372121 0.988 0.323
    > 8: d_y1_d_x4 -0.181156 0.289907 -0.625 0.532
    > 8: d_y2_d_x4 -0.504827 0.485617 -1.040 0.299
    > 8: d_y3_d_x4 0.401205 0.424349 0.945 0.344
    > 9: d_y1_d_x1 0.302950 0.601313 0.504 0.614
    > 9: d_y2_d_x1 0.029627 0.119098 0.249 0.804
    > 9: d_y3_d_x1 -0.026668 0.103269 -0.258 0.796
    > 9: d_y1_d_x2 -0.230896 0.364964 -0.633 0.527
    > 9: d_y2_d_x2 0.072908 0.184501 0.395 0.693
    > 9: d_y3_d_x2 -0.097100 0.225089 -0.431 0.666
    > 9: d_y1_d_x3 0.168372 0.416529 0.404 0.686
    > 9: d_y2_d_x3 -0.085632 0.254682 -0.336 0.737
    > 9: d_y3_d_x3 0.083894 0.241358 0.348 0.728
    > 9: d_y1_d_x4 -0.096212 0.317277 -0.303 0.762
    > 9: d_y2_d_x4 -0.114176 0.384666 -0.297 0.767
    > 9: d_y3_d_x4 0.091521 0.303290 0.302 0.763
    > 10: d_y1_d_x1 0.002096 0.010845 0.193 0.847
    > 10: d_y2_d_x1 0.242659 0.508848 0.477 0.633
    > 10: d_y3_d_x1 -0.127937 0.365636 -0.350 0.726
    > 10: d_y1_d_x2 -0.029343 0.127161 -0.231 0.818
    > 10: d_y2_d_x2 0.117824 0.349490 0.337 0.736
    > 10: d_y3_d_x2 -0.157532 0.407346 -0.387 0.699
    > 10: d_y1_d_x3 0.009359 0.039280 0.238 0.812
    > 10: d_y2_d_x3 -0.156396 0.298678 -0.524 0.601
    > 10: d_y3_d_x3 0.159523 0.280080 0.570 0.569
    > 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.827
    > 10: d_y2_d_x4 -0.208528 0.558811 -0.373 0.709
    > 10: d_y3_d_x4 0.174025 0.463528 0.375 0.707
    1029,1148c1029,1148
    < 1: d_y1_d_x1 0.060234 0.229069 0.263 0.7926
    < 1: d_y2_d_x1 0.333415 0.493550 0.676 0.4993
    < 1: d_y3_d_x1 -0.164966 0.377997 -0.436 0.6625
    < 1: d_y1_d_x2 -0.050195 0.164169 -0.306 0.7598
    < 1: d_y2_d_x2 0.200049 0.280941 0.712 0.4764
    < 1: d_y3_d_x2 -0.192460 0.275439 -0.699 0.4847
    < 1: d_y1_d_x3 0.070273 0.234891 0.299 0.7648
    < 1: d_y2_d_x3 -0.400098 0.362458 -1.104 0.2697
    < 1: d_y3_d_x3 0.302437 0.385478 0.785 0.4327
    < 1: d_y1_d_x4 -0.040156 0.145672 -0.276 0.7828
    < 1: d_y2_d_x4 -0.533464 0.735547 -0.725 0.4683
    < 1: d_y3_d_x4 0.329931 0.641500 0.514 0.6070
    < 2: d_y1_d_x1 0.461706 0.425426 1.085 0.2778
    < 2: d_y2_d_x1 0.304804 0.446903 0.682 0.4952
    < 2: d_y3_d_x1 -0.174668 0.354644 -0.493 0.6224
    < 2: d_y1_d_x2 -0.384755 0.302081 -1.274 0.2028
    < 2: d_y2_d_x2 0.182883 0.222563 0.822 0.4112
    < 2: d_y3_d_x2 -0.203779 0.215441 -0.946 0.3442
    < 2: d_y1_d_x3 0.538657 0.410543 1.312 0.1895
    < 2: d_y2_d_x3 -0.365765 0.459421 -0.796 0.4259
    < 2: d_y3_d_x3 0.320224 0.436340 0.734 0.4630
    < 2: d_y1_d_x4 -0.307804 0.426041 -0.722 0.4700
    < 2: d_y2_d_x4 -0.487687 0.549576 -0.887 0.3749
    < 2: d_y3_d_x4 0.349336 0.448600 0.779 0.4361
    < 3: d_y1_d_x1 0.246411 0.741814 0.332 0.7398
    < 3: d_y2_d_x1 0.289922 0.458628 0.632 0.5273
    < 3: d_y3_d_x1 -0.166159 0.309653 -0.537 0.5915
    < 3: d_y1_d_x2 -0.205343 0.465663 -0.441 0.6592
    < 3: d_y2_d_x2 0.173953 0.311849 0.558 0.5770
    < 3: d_y3_d_x2 -0.193852 0.343657 -0.564 0.5727
    < 3: d_y1_d_x3 0.287480 0.659862 0.436 0.6631
    < 3: d_y2_d_x3 -0.347907 0.542040 -0.642 0.5210
    < 3: d_y3_d_x3 0.304625 0.507399 0.600 0.5483
    < 3: d_y1_d_x4 -0.164274 0.382836 -0.429 0.6679
    < 3: d_y2_d_x4 -0.463876 0.971352 -0.478 0.6330
    < 3: d_y3_d_x4 0.332318 0.780151 0.426 0.6701
    < 4: d_y1_d_x1 0.368635 0.750782 0.491 0.6234
    < 4: d_y2_d_x1 0.357283 0.359035 0.995 0.3197
    < 4: d_y3_d_x1 -0.205990 0.308517 -0.668 0.5043
    < 4: d_y1_d_x2 -0.307196 0.412472 -0.745 0.4564
    < 4: d_y2_d_x2 0.214370 0.315233 0.680 0.4965
    < 4: d_y3_d_x2 -0.240322 0.319479 -0.752 0.4519
    < 4: d_y1_d_x3 0.430074 0.609132 0.706 0.4802
    < 4: d_y2_d_x3 -0.428740 0.443667 -0.966 0.3339
    < 4: d_y3_d_x3 0.377649 0.445647 0.847 0.3968
    < 4: d_y1_d_x4 -0.245757 0.366506 -0.671 0.5025
    < 4: d_y2_d_x4 -0.571653 0.778475 -0.734 0.4628
    < 4: d_y3_d_x4 0.411980 0.688013 0.599 0.5493
    < 5: d_y1_d_x1 0.429137 0.328361 1.307 0.1912
    < 5: d_y2_d_x1 0.393582 0.467800 0.841 0.4002
    < 5: d_y3_d_x1 -0.234703 0.442813 -0.530 0.5961
    < 5: d_y1_d_x2 -0.357614 0.462320 -0.774 0.4392
    < 5: d_y2_d_x2 0.236149 0.399435 0.591 0.5544
    < 5: d_y3_d_x2 -0.273820 0.402558 -0.680 0.4964
    < 5: d_y1_d_x3 0.500660 0.633149 0.791 0.4291
    < 5: d_y2_d_x3 -0.472298 0.460163 -1.026 0.3047
    < 5: d_y3_d_x3 0.430288 0.465925 0.924 0.3557
    < 5: d_y1_d_x4 -0.286091 0.511348 -0.559 0.5758
    < 5: d_y2_d_x4 -0.629731 0.347755 -1.811 0.0702 .
    < 5: d_y3_d_x4 0.469405 0.346199 1.356 0.1751
    < 6: d_y1_d_x1 0.076917 0.399589 0.192 0.8474
    < 6: d_y2_d_x1 0.062889 0.284869 0.221 0.8253
    < 6: d_y3_d_x1 -0.044942 0.189725 -0.237 0.8127
    < 6: d_y1_d_x2 -0.064097 0.288673 -0.222 0.8243
    < 6: d_y2_d_x2 0.037734 0.167608 0.225 0.8219
    < 6: d_y3_d_x2 -0.052433 0.222176 -0.236 0.8134
    < 6: d_y1_d_x3 0.089736 0.391254 0.229 0.8186
    < 6: d_y2_d_x3 -0.075467 0.325988 -0.232 0.8169
    < 6: d_y3_d_x3 0.082394 0.333238 0.247 0.8047
    < 6: d_y1_d_x4 -0.051278 0.237088 -0.216 0.8288
    < 6: d_y2_d_x4 -0.100623 0.507245 -0.198 0.8428
    < 6: d_y3_d_x4 0.089885 0.439736 0.204 0.8380
    < 7: d_y1_d_x1 0.107242 0.335695 0.319 0.7494
    < 7: d_y2_d_x1 0.268092 0.654960 0.409 0.6823
    < 7: d_y3_d_x1 -0.175718 0.493248 -0.356 0.7217
    < 7: d_y1_d_x2 -0.089369 0.362408 -0.247 0.8052
    < 7: d_y2_d_x2 0.160855 0.480808 0.335 0.7380
    < 7: d_y3_d_x2 -0.205005 0.533324 -0.384 0.7007
    < 7: d_y1_d_x3 0.125116 0.403976 0.310 0.7568
    < 7: d_y2_d_x3 -0.321710 0.522218 -0.616 0.5379
    < 7: d_y3_d_x3 0.322151 0.467820 0.689 0.4911
    < 7: d_y1_d_x4 -0.071495 0.285471 -0.250 0.8022
    < 7: d_y2_d_x4 -0.428947 0.737887 -0.581 0.5610
    < 7: d_y3_d_x4 0.351437 0.549872 0.639 0.5227
    < 8: d_y1_d_x1 0.271734 0.370560 0.733 0.4634
    < 8: d_y2_d_x1 0.315517 0.384084 0.821 0.4114
    < 8: d_y3_d_x1 -0.200603 0.355554 -0.564 0.5726
    < 8: d_y1_d_x2 -0.226445 0.333205 -0.680 0.4968
    < 8: d_y2_d_x2 0.189310 0.341789 0.554 0.5797
    < 8: d_y3_d_x2 -0.234036 0.362911 -0.645 0.5190
    < 8: d_y1_d_x3 0.317023 0.380622 0.833 0.4049
    < 8: d_y2_d_x3 -0.378620 0.378829 -0.999 0.3176
    < 8: d_y3_d_x3 0.367771 0.372295 0.988 0.3232
    < 8: d_y1_d_x4 -0.181156 0.289976 -0.625 0.5321
    < 8: d_y2_d_x4 -0.504827 0.485713 -1.039 0.2986
    < 8: d_y3_d_x4 0.401205 0.424522 0.945 0.3446
    < 9: d_y1_d_x1 0.144319 0.428640 0.337 0.7364
    < 9: d_y2_d_x1 0.071360 0.253986 0.281 0.7787
    < 9: d_y3_d_x1 -0.045760 0.171173 -0.267 0.7892
    < 9: d_y1_d_x2 -0.120266 0.295341 -0.407 0.6839
    < 9: d_y2_d_x2 0.042816 0.123046 0.348 0.7279
    < 9: d_y3_d_x2 -0.053387 0.151548 -0.352 0.7246
    < 9: d_y1_d_x3 0.168372 0.416487 0.404 0.6860
    < 9: d_y2_d_x3 -0.085632 0.254656 -0.336 0.7367
    < 9: d_y3_d_x3 0.083894 0.241357 0.348 0.7281
    < 9: d_y1_d_x4 -0.096212 0.317272 -0.303 0.7617
    < 9: d_y2_d_x4 -0.114176 0.384669 -0.297 0.7666
    < 9: d_y3_d_x4 0.091521 0.303278 0.302 0.7628
    < 10: d_y1_d_x1 0.008022 0.038409 0.209 0.8346
    < 10: d_y2_d_x1 0.130330 0.346800 0.376 0.7071
    < 10: d_y3_d_x1 -0.087012 0.250314 -0.348 0.7281
    < 10: d_y1_d_x2 -0.006685 0.032220 -0.207 0.8356
    < 10: d_y2_d_x2 0.078198 0.232741 0.336 0.7369
    < 10: d_y3_d_x2 -0.101515 0.278728 -0.364 0.7157
    < 10: d_y1_d_x3 0.009359 0.039280 0.238 0.8117
    < 10: d_y2_d_x3 -0.156396 0.298764 -0.523 0.6006
    < 10: d_y3_d_x3 0.159523 0.280018 0.570 0.5689
    < 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.8275
    < 10: d_y2_d_x4 -0.208528 0.558871 -0.373 0.7091
    < 10: d_y3_d_x4 0.174025 0.463525 0.375 0.7073
    ---
    > 1: d_y1_d_x1 0.060234 0.229108 0.263 0.793
    > 1: d_y2_d_x1 0.333415 0.493646 0.675 0.499
    > 1: d_y3_d_x1 -0.164966 0.378021 -0.436 0.663
    > 1: d_y1_d_x2 -0.050195 0.164201 -0.306 0.760
    > 1: d_y2_d_x2 0.200049 0.281001 0.712 0.477
    > 1: d_y3_d_x2 -0.192460 0.275484 -0.699 0.485
    > 1: d_y1_d_x3 0.070273 0.234935 0.299 0.765
    > 1: d_y2_d_x3 -0.400098 0.362400 -1.104 0.270
    > 1: d_y3_d_x3 0.302437 0.385471 0.785 0.433
    > 1: d_y1_d_x4 -0.040156 0.145693 -0.276 0.783
    > 1: d_y2_d_x4 -0.533464 0.735711 -0.725 0.468
    > 1: d_y3_d_x4 0.329931 0.641542 0.514 0.607
    > 2: d_y1_d_x1 0.461706 0.425420 1.085 0.278
    > 2: d_y2_d_x1 0.304804 0.446891 0.682 0.495
    > 2: d_y3_d_x1 -0.174668 0.354664 -0.492 0.622
    > 2: d_y1_d_x2 -0.384755 0.302075 -1.274 0.203
    > 2: d_y2_d_x2 0.182883 0.222555 0.822 0.411
    > 2: d_y3_d_x2 -0.203779 0.215459 -0.946 0.344
    > 2: d_y1_d_x3 0.538657 0.410535 1.312 0.189
    > 2: d_y2_d_x3 -0.365765 0.459493 -0.796 0.426
    > 2: d_y3_d_x3 0.320224 0.436354 0.734 0.463
    > 2: d_y1_d_x4 -0.307804 0.425998 -0.723 0.470
    > 2: d_y2_d_x4 -0.487687 0.549551 -0.887 0.375
    > 2: d_y3_d_x4 0.349336 0.448619 0.779 0.436
    > 3: d_y1_d_x1 0.246411 0.741815 0.332 0.740
    > 3: d_y2_d_x1 0.289922 0.458618 0.632 0.527
    > 3: d_y3_d_x1 -0.166159 0.309677 -0.537 0.592
    > 3: d_y1_d_x2 -0.205343 0.465676 -0.441 0.659
    > 3: d_y2_d_x2 0.173953 0.311819 0.558 0.577
    > 3: d_y3_d_x2 -0.193852 0.343697 -0.564 0.573
    > 3: d_y1_d_x3 0.287480 0.659852 0.436 0.663
    > 3: d_y2_d_x3 -0.347907 0.542185 -0.642 0.521
    > 3: d_y3_d_x3 0.304625 0.507588 0.600 0.548
    > 3: d_y1_d_x4 -0.164274 0.382843 -0.429 0.668
    > 3: d_y2_d_x4 -0.463876 0.971373 -0.478 0.633
    > 3: d_y3_d_x4 0.332318 0.780284 0.426 0.670
    > 4: d_y1_d_x1 0.368635 0.750796 0.491 0.623
    > 4: d_y2_d_x1 0.357283 0.359055 0.995 0.320
    > 4: d_y3_d_x1 -0.205990 0.308528 -0.668 0.504
    > 4: d_y1_d_x2 -0.307196 0.412510 -0.745 0.456
    > 4: d_y2_d_x2 0.214370 0.315135 0.680 0.496
    > 4: d_y3_d_x2 -0.240322 0.319493 -0.752 0.452
    > 4: d_y1_d_x3 0.430074 0.609174 0.706 0.480
    > 4: d_y2_d_x3 -0.428740 0.443926 -0.966 0.334
    > 4: d_y3_d_x3 0.377649 0.445672 0.847 0.397
    > 4: d_y1_d_x4 -0.245757 0.366500 -0.671 0.503
    > 4: d_y2_d_x4 -0.571653 0.778465 -0.734 0.463
    > 4: d_y3_d_x4 0.411980 0.688066 0.599 0.549
    > 5: d_y1_d_x1 0.429137 0.328389 1.307 0.191
    > 5: d_y2_d_x1 0.393582 0.467655 0.842 0.400
    > 5: d_y3_d_x1 -0.234703 0.442903 -0.530 0.596
    > 5: d_y1_d_x2 -0.357614 0.462119 -0.774 0.439
    > 5: d_y2_d_x2 0.236149 0.399413 0.591 0.554
    > 5: d_y3_d_x2 -0.273820 0.402605 -0.680 0.496
    > 5: d_y1_d_x3 0.500660 0.632862 0.791 0.429
    > 5: d_y2_d_x3 -0.472298 0.460031 -1.027 0.305
    > 5: d_y3_d_x3 0.430288 0.466127 0.923 0.356
    > 5: d_y1_d_x4 -0.286091 0.511232 -0.560 0.576
    > 5: d_y2_d_x4 -0.629731 0.347579 -1.812 0.070 .
    > 5: d_y3_d_x4 0.469405 0.346208 1.356 0.175
    > 6: d_y1_d_x1 0.076917 0.399613 0.192 0.847
    > 6: d_y2_d_x1 0.062889 0.284635 0.221 0.825
    > 6: d_y3_d_x1 -0.044942 0.189754 -0.237 0.813
    > 6: d_y1_d_x2 -0.064097 0.288689 -0.222 0.824
    > 6: d_y2_d_x2 0.037734 0.167485 0.225 0.822
    > 6: d_y3_d_x2 -0.052433 0.222212 -0.236 0.813
    > 6: d_y1_d_x3 0.089736 0.391283 0.229 0.819
    > 6: d_y2_d_x3 -0.075467 0.325632 -0.232 0.817
    > 6: d_y3_d_x3 0.082394 0.333304 0.247 0.805
    > 6: d_y1_d_x4 -0.051278 0.237104 -0.216 0.829
    > 6: d_y2_d_x4 -0.100623 0.506839 -0.199 0.843
    > 6: d_y3_d_x4 0.089885 0.439802 0.204 0.838
    > 7: d_y1_d_x1 0.107242 0.335747 0.319 0.749
    > 7: d_y2_d_x1 0.268092 0.655234 0.409 0.682
    > 7: d_y3_d_x1 -0.175718 0.493248 -0.356 0.722
    > 7: d_y1_d_x2 -0.089369 0.362442 -0.247 0.805
    > 7: d_y2_d_x2 0.160855 0.480950 0.334 0.738
    > 7: d_y3_d_x2 -0.205005 0.533324 -0.384 0.701
    > 7: d_y1_d_x3 0.125116 0.404070 0.310 0.757
    > 7: d_y2_d_x3 -0.321710 0.522570 -0.616 0.538
    > 7: d_y3_d_x3 0.322151 0.467820 0.689 0.491
    > 7: d_y1_d_x4 -0.071495 0.285526 -0.250 0.802
    > 7: d_y2_d_x4 -0.428947 0.738264 -0.581 0.561
    > 7: d_y3_d_x4 0.351437 0.549872 0.639 0.523
    > 8: d_y1_d_x1 0.271734 0.370440 0.734 0.463
    > 8: d_y2_d_x1 0.315517 0.384094 0.821 0.411
    > 8: d_y3_d_x1 -0.200603 0.355534 -0.564 0.573
    > 8: d_y1_d_x2 -0.226445 0.333112 -0.680 0.497
    > 8: d_y2_d_x2 0.189310 0.341793 0.554 0.580
    > 8: d_y3_d_x2 -0.234036 0.362884 -0.645 0.519
    > 8: d_y1_d_x3 0.317023 0.380555 0.833 0.405
    > 8: d_y2_d_x3 -0.378620 0.378870 -0.999 0.318
    > 8: d_y3_d_x3 0.367771 0.372121 0.988 0.323
    > 8: d_y1_d_x4 -0.181156 0.289907 -0.625 0.532
    > 8: d_y2_d_x4 -0.504827 0.485617 -1.040 0.299
    > 8: d_y3_d_x4 0.401205 0.424349 0.945 0.344
    > 9: d_y1_d_x1 0.144319 0.428654 0.337 0.736
    > 9: d_y2_d_x1 0.071360 0.254004 0.281 0.779
    > 9: d_y3_d_x1 -0.045760 0.171176 -0.267 0.789
    > 9: d_y1_d_x2 -0.120266 0.295330 -0.407 0.684
    > 9: d_y2_d_x2 0.042816 0.123059 0.348 0.728
    > 9: d_y3_d_x2 -0.053387 0.151551 -0.352 0.725
    > 9: d_y1_d_x3 0.168372 0.416529 0.404 0.686
    > 9: d_y2_d_x3 -0.085632 0.254682 -0.336 0.737
    > 9: d_y3_d_x3 0.083894 0.241358 0.348 0.728
    > 9: d_y1_d_x4 -0.096212 0.317277 -0.303 0.762
    > 9: d_y2_d_x4 -0.114176 0.384666 -0.297 0.767
    > 9: d_y3_d_x4 0.091521 0.303290 0.302 0.763
    > 10: d_y1_d_x1 0.008022 0.038409 0.209 0.835
    > 10: d_y2_d_x1 0.130330 0.346766 0.376 0.707
    > 10: d_y3_d_x1 -0.087012 0.250335 -0.348 0.728
    > 10: d_y1_d_x2 -0.006685 0.032220 -0.207 0.836
    > 10: d_y2_d_x2 0.078198 0.232723 0.336 0.737
    > 10: d_y3_d_x2 -0.101515 0.278753 -0.364 0.716
    > 10: d_y1_d_x3 0.009359 0.039280 0.238 0.812
    > 10: d_y2_d_x3 -0.156396 0.298678 -0.524 0.601
    > 10: d_y3_d_x3 0.159523 0.280080 0.570 0.569
    > 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.827
    > 10: d_y2_d_x4 -0.208528 0.558811 -0.373 0.709
    > 10: d_y3_d_x4 0.174025 0.463528 0.375 0.707
    1303c1303
    < mean 0.0131762240 0 0 -0.0135166876 0 0
    ---
    > mean 0.0131837139 0 0 -0.0135209675 0 0
    1311,1312c1311,1312
    < 10 -0.105061662 0 0 -0.19958499 0
    < mean 0.008750508 0 0 -0.02749563 0
    ---
    > 10 -0.105045489 0 0 -0.19956343 0
    > mean 0.008748776 0 0 -0.02749794 0
    1320,1321c1320,1321
    < 10 0 -0.060597587 0 0 -0.10144935
    < mean 0 0.007402118 0 0 -0.01736106
    ---
    > 10 0 -0.060608134 0 0 -0.10146086
    > mean 0 0.007401025 0 0 -0.01736225
    1330c1330
    < mean 0.022070205 0 0 -0.007582236 0 0
    ---
    > mean 0.022071548 0 0 -0.007583003 0 0
    1338,1339c1338,1339
    < 10 -0.06458309 0 0 -0.12268809 0
    < mean 0.03244511 0 0 0.01069094 0
    ---
    > 10 -0.06457314 0 0 -0.12267484 0
    > mean 0.03244536 0 0 0.01069128 0
    1347,1348c1347,1348
    < 10 0 -0.07052900 0 0 -0.118076017
    < mean 0 0.03368832 0 0 0.001945654
    ---
    > 10 0 -0.07054128 0 0 -0.118089409
    > mean 0 0.03369255 0 0 0.001950265
    1354c1354
    < mean 0.0131762240 0 0 0.022070205 0 0
    ---
    > mean 0.0131837139 0 0 0.022071548 0 0
    1357c1357
    < mean 0.019902103 0 0 -0.0014505656 0 0
    ---
    > mean 0.019914554 0 0 -0.0014542480 0 0
    1362,1363c1362,1363
    < 10 0 -0.105061662 0 0 -0.06458309 0 0
    < mean 0 0.008750508 0 0 0.03244511 0 0
    ---
    > 10 0 -0.105045489 0 0 -0.06457314 0 0
    > mean 0 0.008748776 0 0 0.03244536 0 0
    1365,1366c1365,1366
    < 10 0.08926007 0 0 0.15893909 0
    < mean 0.02100814 0 0 0.00970332 0
    ---
    > 10 0.08920869 0 0 0.158879989 0
    > mean 0.02100430 0 0 0.009676448 0
    1371,1372c1371,1372
    < 10 0 0 -0.060597587 0 0 -0.07052900 0
    < mean 0 0 0.007402118 0 0 0.03368832 0
    ---
    > 10 0 0 -0.060608134 0 0 -0.07054128 0
    > mean 0 0 0.007401025 0 0 0.03369255 0
    1374,1375c1374,1375
    < 10 0 0.07841036 0 0 0.12013414
    < mean 0 0.02265446 0 0 0.01162585
    ---
    > 10 0 0.07844472 0 0 0.12015391
    > mean 0 0.02265176 0 0 0.01161896
    1381c1381
    < mean -0.0135166876 0 0 -0.007582236 0 0
    ---
    > mean -0.0135209675 0 0 -0.007583003 0 0
    1384c1384
    < mean -0.0014505656 0 0 0.0387119634 0 0
    ---
    > mean -0.0014542480 0 0 0.0387121063 0 0
    1389,1390c1389,1390
    < 10 0 -0.19958499 0 0 -0.12268809 0 0
    < mean 0 -0.02749563 0 0 0.01069094 0 0
    ---
    > 10 0 -0.19956343 0 0 -0.12267484 0 0
    > mean 0 -0.02749794 0 0 0.01069128 0 0
    1392,1393c1392,1393
    < 10 0.15893909 0 0 0.3123363 0
    < mean 0.00970332 0 0 0.1659365 0
    ---
    > 10 0.158879989 0 0 0.3122700 0
    > mean 0.009676448 0 0 0.1658717 0
    1398,1399c1398,1399
    < 10 0 0 -0.10144935 0 0 -0.118076017 0
    < mean 0 0 -0.01736106 0 0 0.001945654 0
    ---
    > 10 0 0 -0.10146086 0 0 -0.118089409 0
    > mean 0 0 -0.01736225 0 0 0.001950265 0
    1401,1402c1401,1402
    < 10 0 0.12013414 0 0 0.2148557
    < mean 0 0.01162585 0 0 0.1353801
    ---
    > 10 0 0.12015391 0 0 0.2148580
    > mean 0 0.01161896 0 0 0.1353683
    1412,1443c1412,1443
    < d_y1_d_x3 0.01317622 0.000000000 0.000000000 0.022070205 0.000000000
    < d_y2_d_x3 0.00000000 0.008750508 0.000000000 0.000000000 0.032445111
    < d_y3_d_x3 0.00000000 0.000000000 0.007402118 0.000000000 0.000000000
    < d_y1_d_x4 -0.01351669 0.000000000 0.000000000 -0.007582236 0.000000000
    < d_y2_d_x4 0.00000000 -0.027495628 0.000000000 0.000000000 0.010690943
    < d_y3_d_x4 0.00000000 0.000000000 -0.017361059 0.000000000 0.000000000
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 0.000000000 0.013176224 0.000000000 0.000000000 -0.013516688
    < d_y2_d_x1 0.000000000 0.000000000 0.008750508 0.000000000 0.000000000
    < d_y3_d_x1 -0.007405409 0.000000000 0.000000000 0.007402118 0.000000000
    < d_y1_d_x2 0.000000000 0.022070205 0.000000000 0.000000000 -0.007582236
    < d_y2_d_x2 0.000000000 0.000000000 0.032445111 0.000000000 0.000000000
    < d_y3_d_x2 0.085384250 0.000000000 0.000000000 0.033688322 0.000000000
    < d_y1_d_x3 0.000000000 0.019902103 0.000000000 0.000000000 -0.001450566
    < d_y2_d_x3 0.000000000 0.000000000 0.021008142 0.000000000 0.000000000
    < d_y3_d_x3 0.033688322 0.000000000 0.000000000 0.022654460 0.000000000
    < d_y1_d_x4 0.000000000 -0.001450566 0.000000000 0.000000000 0.038711963
    < d_y2_d_x4 0.000000000 0.000000000 0.009703320 0.000000000 0.000000000
    < d_y3_d_x4 0.001945654 0.000000000 0.000000000 0.011625846 0.000000000
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 0.00000000 0.000000000
    < d_y2_d_x1 -0.02749563 0.000000000
    < d_y3_d_x1 0.00000000 -0.017361059
    < d_y1_d_x2 0.00000000 0.000000000
    < d_y2_d_x2 0.01069094 0.000000000
    < d_y3_d_x2 0.00000000 0.001945654
    < d_y1_d_x3 0.00000000 0.000000000
    < d_y2_d_x3 0.00970332 0.000000000
    < d_y3_d_x3 0.00000000 0.011625846
    < d_y1_d_x4 0.00000000 0.000000000
    < d_y2_d_x4 0.16593652 0.000000000
    < d_y3_d_x4 0.00000000 0.135380119
    ---
    > d_y1_d_x3 0.01318371 0.000000000 0.000000000 0.022071548 0.000000000
    > d_y2_d_x3 0.00000000 0.008748776 0.000000000 0.000000000 0.032445362
    > d_y3_d_x3 0.00000000 0.000000000 0.007401025 0.000000000 0.000000000
    > d_y1_d_x4 -0.01352097 0.000000000 0.000000000 -0.007583003 0.000000000
    > d_y2_d_x4 0.00000000 -0.027497938 0.000000000 0.000000000 0.010691278
    > d_y3_d_x4 0.00000000 0.000000000 -0.017362251 0.000000000 0.000000000
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 0.000000000 0.013183714 0.000000000 0.000000000 -0.013520967
    > d_y2_d_x1 0.000000000 0.000000000 0.008748776 0.000000000 0.000000000
    > d_y3_d_x1 -0.007405409 0.000000000 0.000000000 0.007401025 0.000000000
    > d_y1_d_x2 0.000000000 0.022071548 0.000000000 0.000000000 -0.007583003
    > d_y2_d_x2 0.000000000 0.000000000 0.032445362 0.000000000 0.000000000
    > d_y3_d_x2 0.085384250 0.000000000 0.000000000 0.033692549 0.000000000
    > d_y1_d_x3 0.000000000 0.019914554 0.000000000 0.000000000 -0.001454248
    > d_y2_d_x3 0.000000000 0.000000000 0.021004297 0.000000000 0.000000000
    > d_y3_d_x3 0.033692549 0.000000000 0.000000000 0.022651757 0.000000000
    > d_y1_d_x4 0.000000000 -0.001454248 0.000000000 0.000000000 0.038712106
    > d_y2_d_x4 0.000000000 0.000000000 0.009676448 0.000000000 0.000000000
    > d_y3_d_x4 0.001950265 0.000000000 0.000000000 0.011618959 0.000000000
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 0.000000000 0.000000000
    > d_y2_d_x1 -0.027497938 0.000000000
    > d_y3_d_x1 0.000000000 -0.017362251
    > d_y1_d_x2 0.000000000 0.000000000
    > d_y2_d_x2 0.010691278 0.000000000
    > d_y3_d_x2 0.000000000 0.001950265
    > d_y1_d_x3 0.000000000 0.000000000
    > d_y2_d_x3 0.009676448 0.000000000
    > d_y3_d_x3 0.000000000 0.011618959
    > d_y1_d_x4 0.000000000 0.000000000
    > d_y2_d_x4 0.165871700 0.000000000
    > d_y3_d_x4 0.000000000 0.135368309
    1456,1457c1456,1457
    < 10: d_y2_d_x3 -0.1563963 0.2987642 -0.5235 0.60064
    < 10: d_y3_d_x3 0.1595228 0.2800185 0.5697 0.56889
    ---
    > 10: d_y2_d_x3 -0.1563963 0.2986782 -0.5236 0.60054
    > 10: d_y3_d_x3 0.1595228 0.2800799 0.5696 0.56897
    1459,1460c1459,1460
    < 10: d_y2_d_x4 -0.2085284 0.5588705 -0.3731 0.70906
    < 10: d_y3_d_x4 0.1740249 0.4635253 0.3754 0.70733
    ---
    > 10: d_y2_d_x4 -0.2085284 0.5588112 -0.3732 0.70903
    > 10: d_y3_d_x4 0.1740249 0.4635277 0.3754 0.70734
    1467,1472c1467,1472
    < mean: d_y1_d_x3 0.2536749 0.1410748 1.7982 0.07215 .
    < mean: d_y2_d_x3 -0.3032635 0.1449419 -2.0923 0.03641 *
    < mean: d_y3_d_x3 0.2750956 0.1505140 1.8277 0.06759 .
    < mean: d_y1_d_x4 -0.1449571 0.1967536 -0.7367 0.46128
    < mean: d_y2_d_x4 -0.4043513 0.4073531 -0.9926 0.32089
    < mean: d_y3_d_x4 0.3001043 0.3679404 0.8156 0.41471
    ---
    > mean: d_y1_d_x3 0.2536749 0.1411189 1.7976 0.07224 .
    > mean: d_y2_d_x3 -0.3032635 0.1449286 -2.0925 0.03639 *
    > mean: d_y3_d_x3 0.2750956 0.1505050 1.8278 0.06758 .
    > mean: d_y1_d_x4 -0.1449571 0.1967539 -0.7367 0.46128
    > mean: d_y2_d_x4 -0.4043513 0.4072735 -0.9928 0.32080
    > mean: d_y3_d_x4 0.3001043 0.3679243 0.8157 0.41469
    1498,1505c1498,1505
    < 1 0.176511553 -0.35179286 0.2229842 -0.1468374651 -0.32872178 0.6037347
    < 2 0.470625850 -0.39065433 0.2417527 -0.4007656056 -0.40480342 0.4969012
    < 3 0.440547549 -0.33694170 0.2350549 -0.3803063475 -0.32464544 0.5721855
    < 4 0.520056790 -0.45146105 0.2436830 -0.4144341592 -0.44879952 0.5673865
    < 5 0.329853049 -0.50531263 0.2791236 -0.2238687968 -0.56755035 0.4883268
    < 6 0.253508476 -0.05245314 0.1581382 -0.2782416393 -0.04810410 0.3860385
    < 7 0.036015810 -0.30982533 0.2977379 -0.0217475808 -0.39933261 0.3574982
    < 8 0.147285010 -0.38617280 0.2839412 -0.0911087350 -0.46686982 0.4072656
    ---
    > 1 0.176511552 -0.35179286 0.2229842 -0.1468374650 -0.32872178 0.6037347
    > 2 0.470625849 -0.39065433 0.2417527 -0.4007656059 -0.40480342 0.4969012
    > 3 0.440547549 -0.33694170 0.2350549 -0.3803063472 -0.32464544 0.5721855
    > 4 0.520056790 -0.45146105 0.2436830 -0.4144341596 -0.44879952 0.5673865
    > 5 0.329853048 -0.50531263 0.2791236 -0.2238687970 -0.56755035 0.4883268
    > 6 0.253508476 -0.05245314 0.1581382 -0.2782416392 -0.04810410 0.3860385
    > 7 0.036015809 -0.30982533 0.2977379 -0.0217475812 -0.39933261 0.3574982
    > 8 0.147285010 -0.38617280 0.2839412 -0.0911087353 -0.46686982 0.4072656
    1525,1543c1525,1543
    < 1 0.1884635652 0.17102712 -0.42316725 -0.125801131 0.18806309 -0.12892375
    < 2 0.5099557823 0.22543984 -0.32620929 -0.335328823 0.20402620 -0.14650352
    < 3 0.4821673456 0.17270950 -0.39225087 -0.314821101 0.17871508 -0.13835668
    < 4 0.5392597432 0.24342496 -0.38415941 -0.368805082 0.23826960 -0.14572352
    < 5 0.3084532159 0.32945682 -0.30363340 -0.231071359 0.26068085 -0.17458867
    < 6 0.3290263251 0.02481757 -0.26612804 -0.186121049 0.02795717 -0.09105967
    < 7 0.0313559801 0.24700912 -0.18717169 -0.025031082 0.15490110 -0.19216058
    < 8 0.1301219439 0.28075214 -0.23379151 -0.102554771 0.19614099 -0.18116028
    < 9 0.4656624778 0.03483961 -0.22862972 -0.264787711 0.03761668 -0.08212529
    < 10 0.0009338786 0.12485332 -0.09718526 -0.000786224 0.07414565 -0.12046481
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.176511553 -0.35179286 0.2229842 -0.1468374651 -0.32872178 0.6037347
    < 2 0.470625850 -0.39065433 0.2417527 -0.4007656056 -0.40480342 0.4969012
    < 3 0.440547549 -0.33694170 0.2350549 -0.3803063475 -0.32464544 0.5721855
    < 4 0.520056790 -0.45146105 0.2436830 -0.4144341592 -0.44879952 0.5673865
    < 5 0.329853049 -0.50531263 0.2791236 -0.2238687968 -0.56755035 0.4883268
    < 6 0.253508476 -0.05245314 0.1581382 -0.2782416393 -0.04810410 0.3860385
    < 7 0.036015810 -0.30982533 0.2977379 -0.0217475808 -0.39933261 0.3574982
    < 8 0.147285010 -0.38617280 0.2839412 -0.0911087350 -0.46686982 0.4072656
    ---
    > 1 0.1884635650 0.17102712 -0.42316725 -0.1258011311 0.18806310 -0.12892375
    > 2 0.5099557824 0.22543984 -0.32620929 -0.3353288225 0.20402620 -0.14650352
    > 3 0.4821673453 0.17270950 -0.39225087 -0.3148211010 0.17871508 -0.13835668
    > 4 0.5392597435 0.24342496 -0.38415941 -0.3688050820 0.23826960 -0.14572352
    > 5 0.3084532159 0.32945682 -0.30363340 -0.2310713585 0.26068085 -0.17458867
    > 6 0.3290263250 0.02481757 -0.26612804 -0.1861210493 0.02795716 -0.09105967
    > 7 0.0313559802 0.24700912 -0.18717169 -0.0250310818 0.15490110 -0.19216058
    > 8 0.1301219440 0.28075214 -0.23379151 -0.1025547712 0.19614099 -0.18116028
    > 9 0.4656624777 0.03483961 -0.22862972 -0.2647877107 0.03761669 -0.08212529
    > 10 0.0009338784 0.12485332 -0.09718526 -0.0007862237 0.07414565 -0.12046481
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.176511552 -0.35179286 0.2229842 -0.1468374650 -0.32872178 0.6037347
    > 2 0.470625849 -0.39065433 0.2417527 -0.4007656059 -0.40480342 0.4969012
    > 3 0.440547549 -0.33694170 0.2350549 -0.3803063472 -0.32464544 0.5721855
    > 4 0.520056790 -0.45146105 0.2436830 -0.4144341596 -0.44879952 0.5673865
    > 5 0.329853048 -0.50531263 0.2791236 -0.2238687970 -0.56755035 0.4883268
    > 6 0.253508476 -0.05245314 0.1581382 -0.2782416392 -0.04810410 0.3860385
    > 7 0.036015809 -0.30982533 0.2977379 -0.0217475812 -0.39933261 0.3574982
    > 8 0.147285010 -0.38617280 0.2839412 -0.0911087353 -0.46686982 0.4072656
    1590,1599c1590,1599
    < 1 0.17654673 -0.35173836 0.2230884 -0.1468532996 -0.32870549 0.6038590
    < 2 0.47050847 -0.39074154 0.2416959 -0.4008818186 -0.40494388 0.4968085
    < 3 0.44064334 -0.33692357 0.2351269 -0.3803577019 -0.32467070 0.5722886
    < 4 0.52019140 -0.45148369 0.2437674 -0.4144878626 -0.44884522 0.5675156
    < 5 0.32993069 -0.50525720 0.2791793 -0.2238869512 -0.56754997 0.4882992
    < 6 0.25354621 -0.05240629 0.1581628 -0.2782961086 -0.04819657 0.3860753
    < 7 0.03601456 -0.30982678 0.2977379 -0.0217517271 -0.39933488 0.3574964
    < 8 0.14729740 -0.38616972 0.2839504 -0.0911171901 -0.46687210 0.4072593
    < 9 0.36130356 -0.07095789 0.1415239 -0.3929209854 -0.06636947 0.3342959
    < 10 0.00107701 -0.14918942 0.1852891 -0.0006898552 -0.19920415 0.1993821
    ---
    > 1 0.176546731 -0.35173837 0.2230884 -0.1468532997 -0.32870549 0.6038590
    > 2 0.470508468 -0.39074154 0.2416959 -0.4008818185 -0.40494388 0.4968085
    > 3 0.440643343 -0.33692357 0.2351269 -0.3803577016 -0.32467070 0.5722886
    > 4 0.520191404 -0.45148369 0.2437674 -0.4144878625 -0.44884522 0.5675156
    > 5 0.329930691 -0.50525720 0.2791793 -0.2238869512 -0.56754997 0.4882992
    > 6 0.253546211 -0.05240629 0.1581628 -0.2782961085 -0.04819657 0.3860753
    > 7 0.036014555 -0.30982678 0.2977379 -0.0217517288 -0.39933488 0.3574964
    > 8 0.147297395 -0.38616972 0.2839504 -0.0911171908 -0.46687210 0.4072593
    > 9 0.361303561 -0.07095789 0.1415239 -0.3929209851 -0.06636947 0.3342959
    > 10 0.001077011 -0.14918942 0.1852891 -0.0006898554 -0.19920415 0.1993821
    1607,1612c1607,1612
    < [7] "Component 7: Mean relative difference: 0.0002101608"
    < [8] "Component 8: Mean relative difference: 0.0001300595"
    < [9] "Component 9: Mean relative difference: 0.0002044696"
    < [10] "Component 10: Mean relative difference: 0.0001675271"
    < [11] "Component 11: Mean relative difference: 0.0001336317"
    < [12] "Component 12: Mean relative difference: 0.0001409381"
    ---
    > [7] "Component 7: Mean relative difference: 0.0002101602"
    > [8] "Component 8: Mean relative difference: 0.0001300577"
    > [9] "Component 9: Mean relative difference: 0.0002044689"
    > [10] "Component 10: Mean relative difference: 0.0001675276"
    > [11] "Component 11: Mean relative difference: 0.000133631"
    > [12] "Component 12: Mean relative difference: 0.0001409384"
    1629,1637c1629,1637
    < 1 0.1763299122 -0.35336690 0.2233966 -0.146608979 -0.33322866 0.6039101
    < 2 0.4709427044 -0.39474822 0.2424568 -0.401220332 -0.41533126 0.4972206
    < 3 0.4403126684 -0.33958467 0.2354779 -0.380063995 -0.33216144 0.5723273
    < 4 0.5203984320 -0.45373955 0.2448886 -0.414046786 -0.45507118 0.5682299
    < 5 0.3330012384 -0.50703990 0.2835796 -0.224241439 -0.57213943 0.4910794
    < 6 0.2532455358 -0.05821538 0.1579588 -0.279259652 -0.06532845 0.3858571
    < 7 0.0390976701 -0.31144596 0.3059117 -0.022992330 -0.40247246 0.3630267
    < 8 0.1510299759 -0.38761701 0.2909536 -0.092205017 -0.47013102 0.4115833
    < 9 0.3606962493 -0.07810203 0.1413356 -0.395142891 -0.08668239 0.3341350
    ---
    > 1 0.1763299123 -0.35336690 0.2233966 -0.146608979 -0.33322866 0.6039101
    > 2 0.4709427047 -0.39474822 0.2424568 -0.401220332 -0.41533126 0.4972206
    > 3 0.4403126688 -0.33958467 0.2354779 -0.380063995 -0.33216144 0.5723273
    > 4 0.5203984318 -0.45373955 0.2448886 -0.414046787 -0.45507118 0.5682299
    > 5 0.3330012383 -0.50703990 0.2835796 -0.224241440 -0.57213943 0.4910794
    > 6 0.2532455357 -0.05821538 0.1579588 -0.279259652 -0.06532845 0.3858571
    > 7 0.0390976689 -0.31144596 0.3059117 -0.022992332 -0.40247246 0.3630267
    > 8 0.1510299748 -0.38761701 0.2909536 -0.092205017 -0.47013102 0.4115833
    > 9 0.3606962490 -0.07810203 0.1413356 -0.395142892 -0.08668239 0.3341350
    1648,1649c1648,1649
    < [9] "Component 9: Mean relative difference: 0.01291233"
    < [10] "Component 10: Mean relative difference: 0.00370665"
    ---
    > [9] "Component 9: Mean relative difference: 0.01291234"
    > [10] "Component 10: Mean relative difference: 0.003706651"
    1660,1661c1660,1661
    < [8] "Component 8: Mean relative difference: 0.0097754"
    < [9] "Component 9: Mean relative difference: 0.01282563"
    ---
    > [8] "Component 8: Mean relative difference: 0.009775402"
    > [9] "Component 9: Mean relative difference: 0.01282564"
    1682,1691c1682,1691
    < 1 0.16817105 -0.34301441 0.2182270 -0.13517345 -0.296424706 0.6083034
    < 2 0.43073787 -0.37331845 0.2244791 -0.29583700 -0.345586212 0.4849186
    < 3 0.41205924 -0.32545153 0.2246944 -0.32971272 -0.279847269 0.5686308
    < 4 0.48497682 -0.43971853 0.2322381 -0.35294054 -0.406603074 0.5674606
    < 5 0.30018498 -0.48736224 0.2677792 -0.16964584 -0.530957962 0.4937718
    < 6 0.23046155 -0.03469405 0.1472323 -0.23448731 0.018303022 0.3692521
    < 7 0.02676862 -0.28930258 0.2928207 -0.02104248 -0.371619725 0.3545769
    < 8 0.12347183 -0.36592513 0.2741515 -0.06717796 -0.435908311 0.4095904
    < 9 0.32456657 -0.05199358 0.1296053 -0.31719931 0.008670741 0.3163796
    < 10 -0.02408396 -0.13771422 0.1783179 -0.04203884 -0.184218486 0.1853459
    ---
    > 1 0.16817105 -0.34301440 0.2182270 -0.13517345 -0.29642470 0.6083034
    > 2 0.43073787 -0.37331845 0.2244791 -0.29583700 -0.34558621 0.4849186
    > 3 0.41205924 -0.32545153 0.2246944 -0.32971272 -0.27984727 0.5686308
    > 4 0.48497682 -0.43971853 0.2322381 -0.35294054 -0.40660307 0.5674606
    > 5 0.30018498 -0.48736224 0.2677792 -0.16964583 -0.53095796 0.4937718
    > 6 0.23046155 -0.03469405 0.1472323 -0.23448731 0.01830302 0.3692521
    > 7 0.02676862 -0.28930258 0.2928207 -0.02104248 -0.37161973 0.3545769
    > 8 0.12347183 -0.36592513 0.2741515 -0.06717796 -0.43590831 0.4095904
    > 9 0.32456657 -0.05199359 0.1296053 -0.31719931 0.00867074 0.3163796
    > 10 -0.02408396 -0.13771422 0.1783179 -0.04203884 -0.18421849 0.1853459
    1713c1713
    < [8] "Component 8: Mean relative difference: 0.06116274"
    ---
    > [8] "Component 8: Mean relative difference: 0.06116275"
    1726,1736c1726,1736
    < 1 9.750971e-01 -0.0030037424 -4.490045e-01 -0.2274334727 0.0068307497
    < 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927902 -0.0755630123
    < 10 7.727995e-06 0.0001515647 5.378415e-05 -0.0001392449 0.0001042601
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.1589283487 3.934286e-01 -0.0545844515 -0.2432581367 -4.944853e-01
    < 5 0.0074691017 5.540639e-02 0.0922668020 -0.0213238363 -2.595350e-01
    < 10 0.0002038302 3.910299e-05 -0.0001169125 -0.0002194712 -2.332565e-05
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0198229985 0.269608565
    < 5 -0.0399537906 0.081566935
    < 10 -0.0001923054 -0.000239452
    ---
    > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
    > 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927901 -0.0755630122
    > 10 7.727996e-06 0.0001515647 5.378418e-05 -0.0001392449 0.0001042601
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.1589283485 3.934913e-01 -0.0551360998 -0.2431539207 -4.943851e-01
    > 5 0.0074691017 5.559145e-02 0.0922666787 -0.0209438968 -2.593822e-01
    > 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002206918 -2.316957e-05
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0188374345 0.270328853
    > 5 -0.0399301204 0.081681433
    > 10 -0.0001923111 -0.000241325
    1741c1741
    < 1 -0.0030037424 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    ---
    > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    1745,1747c1745,1747
    < 1 -0.044425020 -0.36633542 0.03799573 -0.0186951558 -0.65413500 -0.05527524
    < 5 0.111725783 -0.09090843 0.03549096 -0.1448381970 -0.08484975 0.05410384
    < 10 0.001119961 -0.10893447 -0.03755846 -0.0004868155 -0.20179176 -0.04416140
    ---
    > 1 -0.044427031 -0.3667550 0.03806791 -0.0186986576 -0.65426181 -0.05504100
    > 5 0.111593955 -0.0907331 0.03541485 -0.1448499710 -0.08451449 0.05376516
    > 10 0.001031063 -0.1089146 -0.03738140 -0.0002466476 -0.20173639 -0.04389582
    1754,1762c1754,1758
    < 10 5.378415e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 -0.0589534852 -0.077033570 0.47425474 0.1896566521 -0.147082517
    < 5 0.2077087857 -0.049667231 -0.08374910 -0.0711749077 -0.028633123
    < 10 0.0001153093 -0.005509167 -0.04793679 -0.0002881854 -0.009574259
    < d_y3_d_x4
    < 1 -0.37529645
    < 5 -0.06049581
    < 10 -0.09158989
    ---
    > 10 5.378418e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0589949274 -0.077701852 0.47423595 0.189627098 -0.146882467 -0.37513506
    > 5 0.2076679660 -0.049802098 -0.08350722 -0.071267404 -0.028543080 -0.06042803
    > 10 0.0002019259 -0.005508186 -0.04781628 -0.000167342 -0.009577636 -0.09148118
    1767,1768c1763,1764
    < 1 -0.2274334727 0.089143004 0.066369491 0.243352635 -0.051781028
    < 5 0.0274927902 -0.032248624 -0.104236832 0.380620095 -0.066218734
    ---
    > 1 -0.2274334729 0.089143004 0.066369491 0.243352635 -0.051781028
    > 5 0.0274927901 -0.032248624 -0.104236832 0.380620095 -0.066218734
    1771,1777c1767,1773
    < 1 -0.110923427 -0.1634907455 -0.065895948 0.034895237 0.1447586659
    < 5 -0.072756702 -0.3655508281 0.064808166 0.005143587 0.1635483990
    < 10 -0.006398513 -0.0007031102 0.002480571 0.004946782 0.0004110672
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.178230527 -0.03089988
    < 5 0.005741983 0.02351164
    < 10 0.004025100 0.00582476
    ---
    > 1 -0.110923427 -0.1634860393 -0.065417875 0.034736249 0.1447065273
    > 5 -0.072756702 -0.3656135275 0.064841504 0.004927934 0.1635478254
    > 10 -0.006398513 -0.0007135702 0.002481104 0.004964602 0.0004091202
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.178619507 -0.031123121
    > 5 0.005572462 0.023442576
    > 10 0.004025707 0.005855566
    1782,1783c1778,1779
    < 1 0.0068307497 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    < 5 -0.0755630123 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    ---
    > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    > 5 -0.0755630122 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    1786,1792c1782,1788
    < 1 0.0067652152 0.02482717 -0.007132244 -0.0016813137 -0.004858253
    < 5 -0.0056740947 -0.05095621 -0.002507805 0.0881209679 0.003676665
    < 10 0.0007496257 -0.06786146 -0.029800305 -0.0003243721 -0.124388072
    < d_y3_d_x4
    < 1 -0.007073870
    < 5 -0.003166506
    < 10 -0.034035059
    ---
    > 1 0.0067421558 0.02461029 -0.007100758 -0.001683054 -0.004915436
    > 5 -0.0055783709 -0.05095735 -0.002522731 0.088168991 0.003655392
    > 10 0.0006847522 -0.06785055 -0.029702141 -0.000182194 -0.124354974
    > d_y3_d_x4
    > 1 -0.006969484
    > 5 -0.003065135
    > 10 -0.033881256
    1797c1793
    < 1 0.1589283487 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    ---
    > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    1801,1803c1797,1799
    < 1 0.0122755018 0.03624679 -0.25929664 -0.0683931619 0.10609847 0.14925101
    < 5 -0.0689660516 0.01311081 -0.14267792 -0.0175189865 0.06322171 0.01111095
    < 10 0.0009141576 -0.01953567 -0.09175208 -0.0007818626 -0.02874143 -0.14045609
    ---
    > 1 0.012307140 0.03663825 -0.25915624 -0.0683888638 0.10552589 0.14901568
    > 5 -0.068977037 0.01307835 -0.14270346 -0.0175648413 0.06314878 0.01104703
    > 10 0.000936581 -0.01954074 -0.09169794 -0.0006430461 -0.02874204 -0.14039647
    1808,1818c1804,1814
    < 1 3.934286e-01 -0.044425020 -0.0589534852 -0.1634907455 0.0067652152
    < 5 5.540639e-02 0.111725783 0.2077087857 -0.3655508281 -0.0056740947
    < 10 3.910299e-05 0.001119961 0.0001153093 -0.0007031102 0.0007496257
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0122755018 0.3041483610 -0.0146727944 -0.08688044 -0.2673697861
    < 5 -0.0689660516 0.8884786267 -0.1309429600 -0.08480726 -0.4882227548
    < 10 0.0009141576 0.0002010184 -0.0008269078 -0.00117105 -0.0001169866
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.088302701 0.0500342788
    < 5 -0.040929466 -0.0141029862
    < 10 -0.001410629 -0.0009810036
    ---
    > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
    > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
    > 10 3.956835e-05 0.001031063 0.0002019259 -0.0007135702 0.0006847522
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.012307140 0.3041791387 -0.0153415475 -0.086915250 -0.2673497162
    > 5 -0.068977037 0.8888133639 -0.1312317856 -0.084254369 -0.4883874931
    > 10 0.000936581 0.0002049371 -0.0007564279 -0.001119009 -0.0001167076
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.089085500 0.050521158
    > 5 -0.040612577 -0.013889723
    > 10 -0.001380156 -0.001070066
    1823,1829c1819,1825
    < 1 -0.0545844515 -0.36633542 -0.077033570 -0.065895948 0.02482717 0.03624679
    < 5 0.0922668020 -0.09090843 -0.049667231 0.064808166 -0.05095621 0.01311081
    < 10 -0.0001169125 -0.10893447 -0.005509167 0.002480571 -0.06786146 -0.01953567
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0146727944 0.53412794 0.02804618 0.0499321586 0.78776994 0.08222368
    < 5 -0.1309429600 0.36791631 0.02667885 -0.0433949192 0.04116895 -0.03045622
    < 10 -0.0008269078 0.08991047 0.02951772 0.0004160018 0.15675641 0.03385855
    ---
    > 1 -0.0551360998 -0.3667550 -0.077701852 -0.065417875 0.02461029 0.03663825
    > 5 0.0922666787 -0.0907331 -0.049802098 0.064841504 -0.05095735 0.01307835
    > 10 -0.0001169437 -0.1089146 -0.005508186 0.002481104 -0.06785055 -0.01954074
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0153415475 0.53571025 0.02858950 0.0502931362 0.78867418 0.08319167
    > 5 -0.1312317856 0.36770203 0.02688757 -0.0435083937 0.04107823 -0.03027008
    > 10 -0.0007564279 0.08985383 0.02939425 0.0002325527 0.15666266 0.03361876
    1834,1840c1830,1836
    < 1 -0.2432581367 0.03799573 0.47425474 0.034895237 -0.007132244 -0.25929664
    < 5 -0.0213238363 0.03549096 -0.08374910 0.005143587 -0.002507805 -0.14267792
    < 10 -0.0002194712 -0.03755846 -0.04793679 0.004946782 -0.029800305 -0.09175208
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.08688044 0.02804618 0.5420574 0.1174787233 -0.07872452 -0.18479475
    < 5 -0.08480726 0.02667885 0.4428440 0.0923533969 -0.09298806 0.03846137
    < 10 -0.00117105 0.02951772 0.1344002 0.0007734578 0.03941158 0.16918625
    ---
    > 1 -0.2431539207 0.03806791 0.47423595 0.034736249 -0.007100758 -0.25915624
    > 5 -0.0209438968 0.03541485 -0.08350722 0.004927934 -0.002522731 -0.14270346
    > 10 -0.0002206918 -0.03738140 -0.04781628 0.004964602 -0.029702141 -0.09169794
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.086915250 0.02858950 0.5430830 0.1173791359 -0.07875333 -0.18429040
    > 5 -0.084254369 0.02688757 0.4427421 0.0917414656 -0.09290091 0.03875653
    > 10 -0.001119009 0.02939425 0.1344230 0.0006774422 0.03900411 0.16897835
    1845,1855c1841,1851
    < 1 -4.944853e-01 -0.0186951558 0.1896566521 0.1447586659 -0.0016813137
    < 5 -2.595350e-01 -0.1448381970 -0.0711749077 0.1635483990 0.0881209679
    < 10 -2.332565e-05 -0.0004868155 -0.0002881854 0.0004110672 -0.0003243721
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.0683931619 -0.2673697861 0.0499321586 0.1174787233 3.486025e-01
    < 5 -0.0175189865 -0.4882227548 -0.0433949192 0.0923533969 6.542542e-01
    < 10 -0.0007818626 -0.0001169866 0.0004160018 0.0007734578 7.361778e-05
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0244780006 -0.186198829
    < 5 0.0435973898 -0.142957210
    < 10 0.0006209189 0.001044309
    ---
    > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
    > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
    > 10 -2.316957e-05 -0.0002466476 -0.000167342 0.0004091202 -0.000182194
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.0683888638 -0.2673497162 0.0502931362 0.1173791359 3.484787e-01
    > 5 -0.0175648413 -0.4883874931 -0.0435083937 0.0917414656 6.538214e-01
    > 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006774422 7.263175e-05
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.0237422937 -0.1867641107
    > 5 0.0431861770 -0.1430103473
    > 10 0.0002043577 0.0007809695
    1860,1866c1856,1862
    < 1 -0.0198229985 -0.65413500 -0.147082517 -0.178230527 -0.004858253 0.10609847
    < 5 -0.0399537906 -0.08484975 -0.028633123 0.005741983 0.003676665 0.06322171
    < 10 -0.0001923054 -0.20179176 -0.009574259 0.004025100 -0.124388072 -0.02874143
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.088302701 0.78776994 -0.07872452 0.0244780006 1.4551324 0.13386282
    < 5 -0.040929466 0.04116895 -0.09298806 0.0435973898 0.2496839 -0.04520915
    < 10 -0.001410629 0.15675641 0.03941158 0.0006209189 0.3033983 0.05138708
    ---
    > 1 -0.0188374345 -0.65426181 -0.146882467 -0.178619507 -0.004915436 0.10552589
    > 5 -0.0399301204 -0.08451449 -0.028543080 0.005572462 0.003655392 0.06314878
    > 10 -0.0001923111 -0.20173639 -0.009577636 0.004025707 -0.124354974 -0.02874204
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.089085500 0.78867418 -0.07875333 0.0237422937 1.4556119 0.13436032
    > 5 -0.040612577 0.04107823 -0.09290091 0.0431861770 0.2495913 -0.04532905
    > 10 -0.001380156 0.15666266 0.03900411 0.0002043577 0.3032282 0.05086440
    1871,1877c1867,1873
    < 1 0.269608565 -0.05527524 -0.37529645 -0.03089988 -0.007073870 0.14925101
    < 5 0.081566935 0.05410384 -0.06049581 0.02351164 -0.003166506 0.01111095
    < 10 -0.000239452 -0.04416140 -0.09158989 0.00582476 -0.034035059 -0.14045609
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.0500342788 0.08222368 -0.18479475 -0.186198829 0.13386282 0.4416161
    < 5 -0.0141029862 -0.03045622 0.03846137 -0.142957210 -0.04520915 0.2294765
    < 10 -0.0009810036 0.03385855 0.16918625 0.001044309 0.05138708 0.2861057
    ---
    > 1 0.270328853 -0.05504100 -0.37513506 -0.031123121 -0.006969484 0.14901568
    > 5 0.081681433 0.05376516 -0.06042803 0.023442576 -0.003065135 0.01104703
    > 10 -0.000241325 -0.04389582 -0.09148118 0.005855566 -0.033881256 -0.14039647
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.050521158 0.08319167 -0.18429040 -0.1867641107 0.13436032 0.4426038
    > 5 -0.013889723 -0.03027008 0.03875653 -0.1430103473 -0.04532905 0.2294027
    > 10 -0.001070066 0.03361876 0.16897835 0.0007809695 0.05086440 0.2857090
    1881c1877
    < d_y1_d_x1 0.975097137 -0.003003742 -0.449004490 -0.22743347 0.006830750
    ---
    > d_y1_d_x1 0.975097136 -0.003003742 -0.449004490 -0.22743347 0.006830749
    1883c1879
    < d_y3_d_x1 -0.449004490 0.080929573 0.765216774 0.06636949 -0.008445285
    ---
    > d_y3_d_x1 -0.449004490 0.080929573 0.765216773 0.06636949 -0.008445285
    1885,1918c1881,1914
    < d_y2_d_x2 0.006830750 -0.005045259 -0.008445285 -0.05178103 0.120677689
    < d_y3_d_x2 0.158928349 -0.051814040 -0.389413931 -0.11092343 0.042316339
    < d_y1_d_x3 0.393428581 -0.044425020 -0.058953485 -0.16349075 0.006765215
    < d_y2_d_x3 -0.054584452 -0.366335424 -0.077033570 -0.06589595 0.024827168
    < d_y3_d_x3 -0.243258137 0.037995730 0.474254737 0.03489524 -0.007132244
    < d_y1_d_x4 -0.494485275 -0.018695156 0.189656652 0.14475867 -0.001681314
    < d_y2_d_x4 -0.019822998 -0.654135004 -0.147082517 -0.17823053 -0.004858253
    < d_y3_d_x4 0.269608565 -0.055275242 -0.375296447 -0.03089988 -0.007073870
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 0.15892835 0.393428581 -0.05458445 -0.243258137 -0.494485275
    < d_y2_d_x1 -0.05181404 -0.044425020 -0.36633542 0.037995730 -0.018695156
    < d_y3_d_x1 -0.38941393 -0.058953485 -0.07703357 0.474254737 0.189656652
    < d_y1_d_x2 -0.11092343 -0.163490745 -0.06589595 0.034895237 0.144758666
    < d_y2_d_x2 0.04231634 0.006765215 0.02482717 -0.007132244 -0.001681314
    < d_y3_d_x2 0.38993460 0.012275502 0.03624679 -0.259296642 -0.068393162
    < d_y1_d_x3 0.01227550 0.304148361 -0.01467279 -0.086880437 -0.267369786
    < d_y2_d_x3 0.03624679 -0.014672794 0.53412794 0.028046176 0.049932159
    < d_y3_d_x3 -0.25929664 -0.086880437 0.02804618 0.542057387 0.117478723
    < d_y1_d_x4 -0.06839316 -0.267369786 0.04993216 0.117478723 0.348602453
    < d_y2_d_x4 0.10609847 0.088302701 0.78776994 -0.078724520 0.024478001
    < d_y3_d_x4 0.14925101 0.050034279 0.08222368 -0.184794749 -0.186198829
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.019822998 0.26960856
    < d_y2_d_x1 -0.654135004 -0.05527524
    < d_y3_d_x1 -0.147082517 -0.37529645
    < d_y1_d_x2 -0.178230527 -0.03089988
    < d_y2_d_x2 -0.004858253 -0.00707387
    < d_y3_d_x2 0.106098465 0.14925101
    < d_y1_d_x3 0.088302701 0.05003428
    < d_y2_d_x3 0.787769943 0.08222368
    < d_y3_d_x3 -0.078724520 -0.18479475
    < d_y1_d_x4 0.024478001 -0.18619883
    < d_y2_d_x4 1.455132426 0.13386282
    < d_y3_d_x4 0.133862819 0.44161612
    ---
    > d_y2_d_x2 0.006830749 -0.005045259 -0.008445285 -0.05178103 0.120677689
    > d_y3_d_x2 0.158928348 -0.051814040 -0.389413930 -0.11092343 0.042316339
    > d_y1_d_x3 0.393491346 -0.044427031 -0.058994927 -0.16348604 0.006742156
    > d_y2_d_x3 -0.055136100 -0.366754971 -0.077701852 -0.06541787 0.024610287
    > d_y3_d_x3 -0.243153921 0.038067907 0.474235951 0.03473625 -0.007100758
    > d_y1_d_x4 -0.494385125 -0.018698658 0.189627098 0.14470653 -0.001683054
    > d_y2_d_x4 -0.018837435 -0.654261807 -0.146882467 -0.17861951 -0.004915436
    > d_y3_d_x4 0.270328853 -0.055040997 -0.375135057 -0.03112312 -0.006969484
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 0.15892835 0.393491346 -0.05513610 -0.243153921 -0.494385125
    > d_y2_d_x1 -0.05181404 -0.044427031 -0.36675497 0.038067907 -0.018698658
    > d_y3_d_x1 -0.38941393 -0.058994927 -0.07770185 0.474235951 0.189627098
    > d_y1_d_x2 -0.11092343 -0.163486039 -0.06541787 0.034736249 0.144706527
    > d_y2_d_x2 0.04231634 0.006742156 0.02461029 -0.007100758 -0.001683054
    > d_y3_d_x2 0.38993460 0.012307140 0.03663825 -0.259156241 -0.068388864
    > d_y1_d_x3 0.01230714 0.304179139 -0.01534155 -0.086915250 -0.267349716
    > d_y2_d_x3 0.03663825 -0.015341548 0.53571025 0.028589501 0.050293136
    > d_y3_d_x3 -0.25915624 -0.086915250 0.02858950 0.543083030 0.117379136
    > d_y1_d_x4 -0.06838886 -0.267349716 0.05029314 0.117379136 0.348478747
    > d_y2_d_x4 0.10552589 0.089085500 0.78867418 -0.078753327 0.023742294
    > d_y3_d_x4 0.14901568 0.050521158 0.08319167 -0.184290399 -0.186764111
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.018837435 0.270328853
    > d_y2_d_x1 -0.654261807 -0.055040997
    > d_y3_d_x1 -0.146882467 -0.375135057
    > d_y1_d_x2 -0.178619507 -0.031123121
    > d_y2_d_x2 -0.004915436 -0.006969484
    > d_y3_d_x2 0.105525894 0.149015681
    > d_y1_d_x3 0.089085500 0.050521158
    > d_y2_d_x3 0.788674183 0.083191666
    > d_y3_d_x3 -0.078753327 -0.184290399
    > d_y1_d_x4 0.023742294 -0.186764111
    > d_y2_d_x4 1.455611865 0.134360316
    > d_y3_d_x4 0.134360316 0.442603753
    1923,1925c1919,1921
    < 1 0.2844103080 0.0365935254 0.0780064050 -0.22745182 0.019380781
    < 5 -0.1562244503 -0.0003601466 -0.0126554974 0.17568006 -0.017225469
    < 10 -0.0008151565 0.0002331714 0.0007906751 0.01741561 -0.004668669
    ---
    > 1 0.2844103081 0.0365935258 0.0780064050 -0.22745182 0.019380780
    > 5 -0.1562244504 -0.0003601467 -0.0126554978 0.17568006 -0.017225469
    > 10 -0.0008151563 0.0002331714 0.0007906753 0.01741561 -0.004668669
    1927,1933c1923,1929
    < 1 -0.02311634 0.278668755 -0.067612582 0.013977708 -0.233313369 -6.972201e-02
    < 5 -0.04385058 -0.365596442 0.050176530 0.087863050 0.241850984 -1.494360e-02
    < 10 -0.01341462 -0.004374279 0.001376677 0.004041212 0.001687539 -8.881784e-05
    < d_y3_d_x4
    < 1 -0.004485301
    < 5 -0.015187851
    < 10 -0.001243450
    ---
    > 1 -0.02311634 0.278693735 -0.067768013 0.013911094 -0.23325786 -6.892265e-02
    > 5 -0.04385058 -0.365474317 0.050365268 0.088007379 0.24198421 -1.525446e-02
    > 10 -0.01341462 -0.004107825 0.001389167 0.004463097 0.00204281 -3.885781e-05
    > d_y3_d_x4
    > 1 -0.0040412118
    > 5 -0.0153210777
    > 10 -0.0009769963
    1942,1944c1938,1940
    < 1 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000
    < 5 -0.3659073 0.05033196 0.08801848 0.2420286 -0.01503242 -0.01527667
    < 10 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000
    ---
    > 1 0.0000000 0.00000000 0.00000000 0.000000 0.00000000 0.00000000
    > 5 -0.3656297 0.05028755 0.08800738 0.242073 -0.01521006 -0.01532108
    > 10 0.0000000 0.00000000 0.00000000 0.000000 0.00000000 0.00000000
    1949c1945
    < 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2786688
    ---
    > 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2787715
    1953c1949
    < 1 -0.06761258 0.01397771 -0.2333134 -0.06972201 -0.004485301
    ---
    > 1 -0.06776801 0.01375566 -0.2333023 -0.06892265 -0.003952394
    1960,1970c1956,1966
    < 1 -0.303700069 -0.0390754340 -0.0832970882 0.24287844 -0.020695256
    < 5 0.097646416 0.0002251058 0.0079101827 -0.10980693 0.010766595
    < 10 -0.001022055 0.0002923537 0.0009913603 0.02183595 -0.005853647
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.02468417 -0.149770765 0.016177012 -0.172827926 0.249206211
    < 5 0.02740834 0.484626391 -0.074524474 -0.138962472 -0.151922919
    < 10 -0.01681944 -0.004709519 0.001474481 0.004407083 0.003108624
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0741184891 0.004574119
    < 5 0.0092814645 0.008926193
    < 10 -0.0000721645 -0.001154632
    ---
    > 1 -0.303700069 -0.0390754343 -0.0832970886 0.24287844 -0.020695256
    > 5 0.097646416 0.0002251057 0.0079101828 -0.10980693 0.010766595
    > 10 -0.001022055 0.0002923537 0.0009913604 0.02183595 -0.005853647
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
    > 5 0.02740834 0.484715209 -0.074546679 -0.138729325 -0.151567647
    > 10 -0.01681944 -0.004587394 0.001521665 0.004795661 0.003241851
    > d_y2_d_x4 d_y3_d_x4
    > 1 7.305268e-02 0.0038191672
    > 5 9.370282e-03 0.0091482377
    > 10 -1.665335e-05 -0.0006661338
    1975,1985c1971,1981
    < 1 0.1212908204 0.0156058291 0.033266941 -0.097000062 0.008265210
    < 5 -0.1283510527 -0.0002958895 -0.010397517 0.144335412 -0.014152119
    < 10 0.0003101437 -0.0000887149 -0.000300829 -0.006626134 0.001776293
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.009858291 0.118906274 -0.0281663581 0.006017409 0.0483027366
    < 5 -0.036026810 -0.299982261 0.0414279722 0.073407946 0.4558161031
    < 10 0.005103872 0.001165734 -0.0005440093 -0.002586820 -0.0002020132
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0855305198 -0.159671783
    < 5 -0.0553731270 -0.095541649
    < 10 -0.0002394261 -0.001210645
    ---
    > 1 0.1212908204 1.560583e-02 0.0332669405 -0.097000062 0.008265210
    > 5 -0.1283510529 -2.958896e-04 -0.0103975173 0.144335412 -0.014152120
    > 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626135 0.001776293
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
    > 5 -0.036026809 -0.30095926 0.0412836432 0.072242212 4.554608e-01
    > 10 0.005103872 0.00184297 -0.0005273559 -0.001398881 2.003137e-05
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0845979325 -1.595830e-01
    > 5 -0.0554175360 -9.558606e-02
    > 10 -0.0002172217 -1.160433e-05
    1990c1986
    < 1 -0.0090414670 -0.1533759 -0.019587546 0.038823785 -0.14266410 -0.011727560
    ---
    > 1 -0.0090414667 -0.1533759 -0.019587546 0.038823785 -0.14266410 -0.011727560
    1992,1996c1988,1996
    < 10 0.0001596093 0.2197046 0.006612413 -0.003257077 0.13273560 0.012840269
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.042663095 0.35057512 0.030753178 0.0128896893 0.32795988 0.02922107
    < 5 0.046695980 -0.08004708 -0.002331468 -0.0523137089 -0.08233414 0.00985878
    < 10 0.001099121 -0.22647717 -0.018174351 -0.0009325873 -0.30221381 -0.01869616
    ---
    > 10 0.0001596092 0.2197046 0.006612413 -0.003257078 0.13273560 0.012840268
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 -0.0426436664 0.35113024 0.030886405 0.0128785871 0.32804870
    > 5 0.0463296068 -0.07983059 -0.002808864 -0.0527133892 -0.08200107
    > 10 0.0007993606 -0.22631341 -0.018218760 -0.0007105427 -0.30195846
    > d_y3_d_x4
    > 1 0.029398706
    > 5 0.009015011
    > 10 -0.018163249
    2005,2007c2005,2007
    < 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
    < 5 0.04669598 -0.08004708 -0.002331468 -0.05231371 -0.08233414 0.00985878
    < 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
    ---
    > 1 0.0000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    > 5 0.0462963 -0.07984724 -0.002808864 -0.05249134 -0.08189005 0.009015011
    > 10 0.0000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
    2016,2018c2016,2018
    < 1 -0.0426631 0.3505751 0.03075318 0.01288969 0.3279599 0.02922107
    < 5 0.0000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
    < 10 0.0000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
    ---
    > 1 -0.04264367 0.3511302 0.0308864 0.01287859 0.3280487 0.02939871
    > 5 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
    > 10 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
    2023,2029c2023,2029
    < 1 0.0096546928 0.1637784 0.020916046 -0.041456958 0.15234011 0.012522967
    < 5 -0.0205975704 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
    < 10 0.0002001206 0.2754689 0.008290742 -0.004083773 0.16642588 0.016099320
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.029432752 -0.1174858 -0.006570394 -0.0137057032 -0.34994230 -0.03175238
    < 5 -0.070775066 0.4503837 0.038498185 0.0317079696 0.05060397 -0.00657252
    < 10 0.001904794 -0.1565463 -0.006716215 -0.0002664535 -0.37869152 -0.02273737
    ---
    > 1 0.0096546928 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
    > 5 -0.0205975703 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
    > 10 0.0002001207 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.029296749 -0.1191511 -0.006581496 -0.0137168055 -0.35020875 -0.031086245
    > 5 -0.071041520 0.4504392 0.038775741 0.0317079696 0.05082601 -0.006528111
    > 10 0.001849283 -0.1565991 -0.006183308 0.0002220446 -0.37872483 -0.022382096
    2034c2034
    < 1 -3.855862e-03 -0.06540932 -0.008353387 0.016556956 -0.06084113 -0.005001385
    ---
    > 1 -3.855862e-03 -0.06540932 -0.008353388 0.016556955 -0.06084113 -0.005001385
    2036c2036
    < 10 -6.072653e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205 -0.004885350
    ---
    > 10 -6.072676e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205 -0.004885350
    2038,2040c2038,2040
    < 1 -0.0182187598 0.14950263 0.012789769 -0.0107614851 0.3959702 0.03858238
    < 5 0.0387800903 -0.06571410 -0.002375877 -0.0844308097 0.3327944 0.04475984
    < 10 -0.0001665335 0.08608947 0.007838175 0.0002394596 0.2421167 0.02348185
    ---
    > 1 -0.0182381887 0.14911405 0.012800871 -0.0107503829 0.3958369 0.03862679
    > 5 0.0387800903 -0.06539214 -0.002231548 -0.0844308096 0.3331941 0.04462662
    > 10 -0.0006883383 0.08605894 0.006772360 -0.0004266743 0.2420390 0.02241604
    2045,2046c2045,2046
    < 1 -0.1036330470 -0.01581883 -0.1692854 0.058505811 -0.008350353 0.03177489
    < 5 0.0092022348 0.01949003 0.1833577 -0.062146477 0.007141051 0.02361125
    ---
    > 1 -0.1036330469 -0.01581883 -0.1692854 0.058505811 -0.008350353 0.03177489
    > 5 0.0092022346 0.01949003 0.1833577 -0.062146477 0.007141051 0.02361125
    2049,2051c2049,2051
    < 1 -0.07976397 0.03259615 -0.01486589 0.0833777491 0.02131628 -0.03352874
    < 5 0.11701751 -0.02671752 -0.10144108 -0.0392574862 -0.02000622 -0.14108714
    < 10 0.00104361 -0.01007527 -0.23103741 -0.0004440892 -0.01214584 -0.24735769
    ---
    > 1 -0.079640461 0.03338441 -0.01467715 0.0833833003 0.02056133 -0.0338396
    > 5 0.117450494 -0.02679523 -0.10076384 -0.0389466237 -0.01978417 -0.1405098
    > 10 0.001176836 -0.01007111 -0.23079316 -0.0002664535 -0.01217360 -0.2470912
    2057,2058c2057,2058
    < 5 -7.098635e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.02361125
    < 10 -5.949685e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.00000000
    ---
    > 5 -7.098636e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.02361125
    > 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.00000000
    2060,2062c2060,2062
    < 1 0.0000000 0.00000000 0.0000000 0.00000000 0.0000000 0.0000000
    < 5 0.1174283 -0.02651213 -0.1011857 -0.03903544 -0.0198952 -0.1407763
    < 10 0.0000000 0.00000000 0.0000000 0.00000000 0.0000000 0.0000000
    ---
    > 1 0.0000000 0.00000000 0.000000 0.00000000 0.00000000 0.0000000
    > 5 0.1173284 -0.02685629 -0.100886 -0.03907985 -0.01985079 -0.1406431
    > 10 0.0000000 0.00000000 0.000000 0.00000000 0.00000000 0.0000000
    2071,2073c2071,2073
    < 1 -0.0797834 0.03228529 -0.01517675 0.08338885 0.02149392 -0.0333511
    < 5 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
    < 10 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
    ---
    > 1 -0.07964046 0.03338441 -0.01467715 0.0833833 0.02056133 -0.0338396
    > 5 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    > 10 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
    2078,2084c2078,2084
    < 1 0.1106618243 0.01689172 0.1807669 -0.062473892 0.008916705 -0.03392998
    < 5 -0.0057517580 -0.01218203 -0.1146057 0.038843988 -0.004463437 -0.01475796
    < 10 0.0002241388 0.01437723 0.1554218 -0.005842267 0.012104684 0.18917056
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 3.954792e-02 -0.006006638 0.4478559 -0.089112051 -0.02251532 0.03570477
    < 5 -1.429732e-01 0.050155070 0.4643641 0.025046631 0.01265654 0.08801848
    < 10 -7.079115e-06 -0.009170551 -0.1033937 -0.001421085 -0.01528222 -0.31032954
    ---
    > 1 0.1106618239 0.01689172 0.1807669 -0.062473892 0.008916705 -0.03392998
    > 5 -0.0057517577 -0.01218203 -0.1146057 0.038843988 -0.004463437 -0.01475796
    > 10 0.0002241385 0.01437723 0.1554218 -0.005842267 0.012104684 0.18917056
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.0396520083 -0.005284993 0.4483888 -0.0890953977 -0.02282619 0.03606004
    > 5 -0.1431397494 0.050005190 0.4643419 0.0254463117 0.01276756 0.08828493
    > 10 0.0003926011 -0.009184429 -0.1029607 -0.0008881784 -0.01529332 -0.31001868
    2089,2095c2089,2095
    < 1 -0.0441957868 -0.006746165 -0.07219415 0.02495064 -0.003561127 0.01355085
    < 5 0.0075603817 0.016012636 0.15064319 -0.05105837 0.005866952 0.01939856
    < 10 -0.0000680147 -0.004362780 -0.04716287 0.00177284 -0.003673175 -0.05740394
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -3.386874e-02 0.013999912 -0.005995204 -0.0097445896 0.038924088 0.4181463
    < 5 9.545698e-02 -0.022631896 -0.083544283 -0.1048259525 0.015527214 0.2840417
    < 10 -7.771561e-05 0.003891332 0.088484775 0.0005702369 0.008150316 0.2818537
    ---
    > 1 -4.419579e-02 -0.006746165 -0.07219415 0.02495064 -0.003561127 0.01355085
    > 5 7.560382e-03 0.016012636 0.15064319 -0.05105837 0.005866952 0.01939856
    > 10 -6.801493e-05 -0.004362780 -0.04716287 0.00177284 -0.003673175 -0.05740394
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0338507000 0.015776269 -0.005373479 -0.009716834 0.041055716 0.4192121
    > 5 0.0949684775 -0.022731816 -0.083633100 -0.105358860 0.015305170 0.2836864
    > 10 -0.0002109424 0.003856637 0.088229424 0.000392601 0.008144765 0.2815428
    2104,2106c2104,2106
    < 1 0.18781782 0.457367477 -0.036348702 -0.002126077 9.629630e-01 0.019095836
    < 5 -0.13626877 -0.301680902 -0.032607250 0.512923037 1.147082e-01 -0.070032868
    < 10 -0.01115774 -0.001038059 0.008604228 0.007238654 6.661338e-05 -0.003241851
    ---
    > 1 0.18776647 0.457101024 -0.036581849 -0.002109424 9.633183e-01 0.018873791
    > 5 -0.13611334 -0.301597636 -0.033173464 0.512834220 1.146860e-01 -0.070166095
    > 10 -0.01127987 -0.001033895 0.009137135 0.007105427 3.885781e-05 -0.002531308
    2111,2113c2111,2113
    < 1 0.6779988895 -0.0439634710 -0.7518035116 -0.15287721 0.012866382
    < 5 0.1100880667 -0.0272114691 -0.1341660787 0.25360526 0.002158135
    < 10 -0.0008353512 0.0001322236 -0.0007461054 0.02054856 -0.003285345
    ---
    > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
    > 5 0.1100880665 -0.0272114692 -0.1341660789 0.25360526 0.002158135
    > 10 -0.0008353512 0.0001322236 -0.0007461053 0.02054856 -0.003285345
    2115,2117c2115,2117
    < 1 0.39436273 0.215595597 0.011479706 -0.516686693 -0.389105415 0.0892619312
    < 5 0.25411486 -0.444344561 0.016325830 -0.312128101 -0.034061642 0.0418554080
    < 10 0.01486094 -0.004285461 0.000928424 -0.003697043 0.001687539 0.0002498002
    ---
    > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903 0.0893507490
    > 5 0.25411486 -0.444211334 0.0164201985 -0.312128101 -0.033884007 0.0416999768
    > 10 0.01486094 -0.004884981 0.0008895662 -0.004019007 0.001776357 0.0002720046
    2119c2119
    < 1 0.451771953
    ---
    > 1 0.451949589
    2121c2121
    < 10 0.001554312
    ---
    > 10 0.001687539
    2126,2132c2126,2132
    < 1 -0.0295668557 -0.0324746 -0.083808061 0.09014664 -0.03836515 -0.1240072
    < 5 0.0509223601 0.1790779 0.041843223 -0.03551199 0.05245643 -0.1427688
    < 10 0.0004814613 0.1066395 -0.004474384 -0.01049811 0.08873839 0.1265591
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.10115103 0.17411628 0.2007838 0.036198822 0.005462297 0.1703970
    < 5 0.11025625 -0.19973467 0.2440270 -0.117461596 -0.321098703 0.2318146
    < 10 0.00308642 -0.08058137 -0.2488676 -0.001509903 -0.097927222 -0.2184919
    ---
    > 1 -0.0295668558 -0.0324746 -0.083808061 0.09014664 -0.03836515 -0.1240072
    > 5 0.0509223599 0.1790779 0.041843222 -0.03551199 0.05245643 -0.1427688
    > 10 0.0004814612 0.1066395 -0.004474384 -0.01049811 0.08873839 0.1265591
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.101010866 0.17555957 0.2012612 0.036270986 0.005906386 0.1701750
    > 5 0.110778053 -0.19941826 0.2445377 -0.116795462 -0.320721227 0.2324363
    > 10 0.002531308 -0.08062023 -0.2494227 -0.001598721 -0.097905017 -0.2189360
    2137,2138c2137,2138
    < d_y2_d_x1 0.036593525 -0.01904979 0.036593525 -0.039075434 0.015605829
    < d_y3_d_x1 0.078006405 -0.08015547 0.078006405 -0.083297088 0.033266941
    ---
    > d_y2_d_x1 0.036593526 -0.01904979 0.036593526 -0.039075434 0.015605829
    > d_y3_d_x1 0.078006405 -0.08015547 0.078006405 -0.083297089 0.033266940
    2140c2140
    < d_y2_d_x2 0.019380781 0.00000000 -0.055643316 -0.020695256 0.008265210
    ---
    > d_y2_d_x2 0.019380780 0.00000000 -0.055643316 -0.020695256 0.008265210
    2142,2147c2142,2147
    < d_y1_d_x3 0.278668755 0.00000000 0.278668755 -0.149770765 0.118906274
    < d_y2_d_x3 -0.067612582 0.00000000 -0.067612582 0.016177012 -0.028166358
    < d_y3_d_x3 0.013977708 0.00000000 0.013977708 -0.172827926 0.006017409
    < d_y1_d_x4 -0.233313369 0.00000000 -0.233313369 0.249206211 0.048302737
    < d_y2_d_x4 -0.069722006 0.00000000 -0.069722006 0.074118489 -0.085530520
    < d_y3_d_x4 -0.004485301 0.00000000 -0.004485301 0.004574119 -0.159671783
    ---
    > d_y1_d_x3 0.278693735 0.00000000 0.278771450 -0.149844318 0.118992316
    > d_y2_d_x3 -0.067768013 0.00000000 -0.067768013 0.016887554 -0.028643754
    > d_y3_d_x3 0.013911094 0.00000000 0.013755663 -0.173727207 0.006039613
    > d_y1_d_x4 -0.233257857 0.00000000 -0.233302266 0.249089638 0.048380452
    > d_y2_d_x4 -0.068922645 0.00000000 -0.068922645 0.073052675 -0.084597932
    > d_y3_d_x4 -0.004041212 0.00000000 -0.003952394 0.003819167 -0.159582965
    2151,2152c2151,2152
    < d_y3_d_x1 -0.019587546 0.006560333 -0.019587546 0.020916046 -0.008353387
    < d_y1_d_x2 0.038823785 0.000000000 -0.016223782 -0.041456958 0.016556956
    ---
    > d_y3_d_x1 -0.019587546 0.006560333 -0.019587546 0.020916046 -0.008353388
    > d_y1_d_x2 0.038823785 0.000000000 -0.016223782 -0.041456959 0.016556955
    2155,2160c2155,2160
    < d_y1_d_x3 -0.042663095 0.000000000 -0.042663095 0.029432752 -0.018218760
    < d_y2_d_x3 0.350575124 0.000000000 0.350575124 -0.117485790 0.149502632
    < d_y3_d_x3 0.030753178 0.000000000 0.030753178 -0.006570394 0.012789769
    < d_y1_d_x4 0.012889689 0.000000000 0.012889689 -0.013705703 -0.010761485
    < d_y2_d_x4 0.327959881 0.000000000 0.327959881 -0.349942297 0.395970154
    < d_y3_d_x4 0.029221070 0.000000000 0.029221070 -0.031752379 0.038582376
    ---
    > d_y1_d_x3 -0.042643666 0.000000000 -0.042643666 0.029296749 -0.018238189
    > d_y2_d_x3 0.351130236 0.000000000 0.351130236 -0.119151125 0.149114054
    > d_y3_d_x3 0.030886405 0.000000000 0.030886405 -0.006581496 0.012800871
    > d_y1_d_x4 0.012878587 0.000000000 0.012878587 -0.013716805 -0.010750383
    > d_y2_d_x4 0.328048699 0.000000000 0.328048699 -0.350208751 0.395836928
    > d_y3_d_x4 0.029398706 0.000000000 0.029398706 -0.031086245 0.038626785
    2163c2163
    < d_y2_d_x1 -0.015818829 0.0143567 -0.01581883 0.016891721 -0.006746165
    ---
    > d_y2_d_x1 -0.015818829 0.0143567 -0.01581883 0.016891720 -0.006746165
    2167,2173c2167,2173
    < d_y3_d_x2 0.031774889 0.0000000 0.43253479 -0.033929980 0.013550853
    < d_y1_d_x3 -0.079763973 0.0000000 -0.07978340 0.039547925 -0.033868741
    < d_y2_d_x3 0.032596148 0.0000000 0.03228529 -0.006006638 0.013999912
    < d_y3_d_x3 -0.014865886 0.0000000 -0.01517675 0.447855873 -0.005995204
    < d_y1_d_x4 0.083377749 0.0000000 0.08338885 -0.089112051 -0.009744590
    < d_y2_d_x4 0.021316282 0.0000000 0.02149392 -0.022515323 0.038924088
    < d_y3_d_x4 -0.033528735 0.0000000 -0.03335110 0.035704772 0.418146304
    ---
    > d_y3_d_x2 0.031774889 0.0000000 0.43253479 -0.033929980 0.013550854
    > d_y1_d_x3 -0.079640461 0.0000000 -0.07964046 0.039652008 -0.033850700
    > d_y2_d_x3 0.033384406 0.0000000 0.03338441 -0.005284993 0.015776269
    > d_y3_d_x3 -0.014677148 0.0000000 -0.01467715 0.448388779 -0.005373479
    > d_y1_d_x4 0.083383300 0.0000000 0.08338330 -0.089095398 -0.009716834
    > d_y2_d_x4 0.020561330 0.0000000 0.02056133 -0.022826185 0.041055716
    > d_y3_d_x4 -0.033839598 0.0000000 -0.03383960 0.036060044 0.419212118
    2179c2179
    < d_y2_d_x2 0.035356899 0.01286638 -0.038365154
    ---
    > d_y2_d_x2 0.035356899 0.01286638 -0.038365155
    2181,2186c2181,2186
    < d_y1_d_x3 0.187817817 0.21559560 -0.101151032
    < d_y2_d_x3 0.457367477 0.01147971 0.174116277
    < d_y3_d_x3 -0.036348702 -0.51668669 0.200783834
    < d_y1_d_x4 -0.002126077 -0.38910541 0.036198822
    < d_y2_d_x4 0.962963043 0.08926193 0.005462297
    < d_y3_d_x4 0.019095836 0.45177195 0.170397030
    ---
    > d_y1_d_x3 0.187766469 0.21562058 -0.101010866
    > d_y2_d_x3 0.457101024 0.01159073 0.175559567
    > d_y3_d_x3 -0.036581849 -0.51673110 0.201261230
    > d_y1_d_x4 -0.002109424 -0.38904990 0.036270986
    > d_y2_d_x4 0.963318314 0.08935075 0.005906386
    > d_y3_d_x4 0.018873791 0.45194959 0.170174985
    2192c2192
    < 1: d_y1_d_x2 -0.2293360 0.4933078 -0.465 0.642
    ---
    > 1: d_y1_d_x2 -0.2293360 0.4933079 -0.465 0.642
    2195,2200c2195,2200
    < 1: d_y1_d_x3 0.1765116 0.5514965 0.320 0.749
    < 1: d_y2_d_x3 -0.3517929 0.7308406 -0.481 0.630
    < 1: d_y3_d_x3 0.2229842 0.7362455 0.303 0.762
    < 1: d_y1_d_x4 -0.1468375 0.5904257 -0.249 0.804
    < 1: d_y2_d_x4 -0.3287218 1.2062887 -0.273 0.785
    < 1: d_y3_d_x4 0.6037347 0.6645420 0.908 0.364
    ---
    > 1: d_y1_d_x3 0.1765116 0.5515244 0.320 0.749
    > 1: d_y2_d_x3 -0.3517929 0.7319223 -0.481 0.631
    > 1: d_y3_d_x3 0.2229842 0.7369417 0.303 0.762
    > 1: d_y1_d_x4 -0.1468375 0.5903209 -0.249 0.804
    > 1: d_y2_d_x4 -0.3287218 1.2064874 -0.272 0.785
    > 1: d_y3_d_x4 0.6037347 0.6652847 0.907 0.364
    2207,2212c2207,2212
    < 2: d_y1_d_x3 0.3298530 0.9425914 0.350 0.726
    < 2: d_y2_d_x3 -0.5053126 0.6065611 -0.833 0.405
    < 2: d_y3_d_x3 0.2791236 0.6654652 0.419 0.675
    < 2: d_y1_d_x4 -0.2238688 0.8088598 -0.277 0.782
    < 2: d_y2_d_x4 -0.5675504 0.4996838 -1.136 0.256
    < 2: d_y3_d_x4 0.4883268 0.4790371 1.019 0.308
    ---
    > 2: d_y1_d_x3 0.3298530 0.9427690 0.350 0.726
    > 2: d_y2_d_x3 -0.5053126 0.6063844 -0.833 0.405
    > 2: d_y3_d_x3 0.2791236 0.6653886 0.419 0.675
    > 2: d_y1_d_x4 -0.2238688 0.8085922 -0.277 0.782
    > 2: d_y2_d_x4 -0.5675504 0.4995911 -1.136 0.256
    > 2: d_y3_d_x4 0.4883268 0.4789600 1.020 0.308
    2219,2224c2219,2224
    < 3: d_y1_d_x3 0.0011362 0.0141781 0.080 0.936
    < 3: d_y2_d_x3 -0.1491872 0.2998508 -0.498 0.619
    < 3: d_y3_d_x3 0.1853440 0.3666063 0.506 0.613
    < 3: d_y1_d_x4 -0.0006208 0.0085801 -0.072 0.942
    < 3: d_y2_d_x4 -0.1992018 0.5508161 -0.362 0.718
    < 3: d_y3_d_x4 0.1994459 0.5348884 0.373 0.709
    ---
    > 3: d_y1_d_x3 0.0011362 0.0143156 0.079 0.937
    > 3: d_y2_d_x3 -0.1491872 0.2997563 -0.498 0.619
    > 3: d_y3_d_x3 0.1853440 0.3666375 0.506 0.613
    > 3: d_y1_d_x4 -0.0006208 0.0085224 -0.073 0.942
    > 3: d_y2_d_x4 -0.1992018 0.5506616 -0.362 0.718
    > 3: d_y3_d_x4 0.1994459 0.5345175 0.373 0.709
    2250,2251c2250,2251
    < 1 0.176511553 -0.3517929 0.2229842 -0.1468374651 -0.3287218 0.6037347
    < 2 0.329853049 -0.5053126 0.2791236 -0.2238687968 -0.5675504 0.4883268
    ---
    > 1 0.176511552 -0.3517929 0.2229842 -0.1468374650 -0.3287218 0.6037347
    > 2 0.329853048 -0.5053126 0.2791236 -0.2238687970 -0.5675504 0.4883268
    2261,2263c2261,2263
    < 1 9.750971e-01 -0.0030037424 -4.490045e-01 -0.2274334727 0.0068307497
    < 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927902 -0.0755630123
    < 10 7.727995e-06 0.0001515647 5.378415e-05 -0.0001392449 0.0001042601
    ---
    > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
    > 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927901 -0.0755630122
    > 10 7.727996e-06 0.0001515647 5.378418e-05 -0.0001392449 0.0001042601
    2266,2274c2266,2274
    < 1 0.1589283487 3.934286e-01 -0.0545844515 -0.2432581367 -4.944853e-01
    < 5 0.0074691017 5.540639e-02 0.0922668020 -0.0213238363 -2.595350e-01
    < 10 0.0002038302 3.910299e-05 -0.0001169125 -0.0002194712 -2.332565e-05
    < mean 0.0252988980 -5.398643e-02 -0.0001407298 -0.0383490510 -5.105689e-02
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0198229985 0.269608565
    < 5 -0.0399537906 0.081566935
    < 10 -0.0001923054 -0.000239452
    < mean -0.0380279444 0.058379517
    ---
    > 1 0.1589283485 3.934913e-01 -0.0551360998 -0.2431539207 -4.943851e-01
    > 5 0.0074691017 5.559145e-02 0.0922666787 -0.0209438968 -2.593822e-01
    > 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002206918 -2.316957e-05
    > mean 0.0252988980 -5.399636e-02 -0.0001482806 -0.0383790235 -5.100716e-02
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0188374345 0.270328853
    > 5 -0.0399301204 0.081681433
    > 10 -0.0001923111 -0.000241325
    > mean -0.0379985139 0.058420857
    2279c2279
    < 1 -0.0030037424 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    ---
    > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
    2284,2292c2284,2292
    < 1 -0.044425020 -0.36633542 0.03799573 -0.0186951558 -0.65413500
    < 5 0.111725783 -0.09090843 0.03549096 -0.1448381970 -0.08484975
    < 10 0.001119961 -0.10893447 -0.03755846 -0.0004868155 -0.20179176
    < mean 0.005496937 -0.02052404 0.01835492 -0.0417439997 -0.13147660
    < d_y3_d_x4
    < 1 -0.0552752423
    < 5 0.0541038449
    < 10 -0.0441614036
    < mean 0.0000317336
    ---
    > 1 -0.044427031 -0.36675497 0.03806791 -0.0186986576 -0.65426181
    > 5 0.111593955 -0.09073310 0.03541485 -0.1448499710 -0.08451449
    > 10 0.001031063 -0.10891460 -0.03738140 -0.0002466476 -0.20173639
    > mean 0.005435604 -0.02050368 0.01837385 -0.0417118839 -0.13140706
    > d_y3_d_x4
    > 1 -5.504100e-02
    > 5 5.376516e-02
    > 10 -4.389582e-02
    > mean -2.400034e-05
    2299c2299
    < 10 5.378415e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    ---
    > 10 5.378418e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
    2302,2310c2302,2310
    < 1 -0.0589534852 -0.077033570 0.47425474 0.1896566521 -0.147082517
    < 5 0.2077087857 -0.049667231 -0.08374910 -0.0711749077 -0.028633123
    < 10 0.0001153093 -0.005509167 -0.04793679 -0.0002881854 -0.009574259
    < mean 0.0408532581 -0.007330939 0.08701954 0.0277307543 -0.021156231
    < d_y3_d_x4
    < 1 -0.37529645
    < 5 -0.06049581
    < 10 -0.09158989
    < mean -0.08593253
    ---
    > 1 -0.0589949274 -0.077701852 0.47423595 0.189627098 -0.146882467
    > 5 0.2076679660 -0.049802098 -0.08350722 -0.071267404 -0.028543080
    > 10 0.0002019259 -0.005508186 -0.04781628 -0.000167342 -0.009577636
    > mean 0.0408929985 -0.007395746 0.08712130 0.027720262 -0.021115011
    > d_y3_d_x4
    > 1 -0.37513506
    > 5 -0.06042803
    > 10 -0.09148118
    > mean -0.08589753
    2315,2316c2315,2316
    < 1 -0.2274334727 0.089143004 0.066369491 0.243352635 -0.051781028
    < 5 0.0274927902 -0.032248624 -0.104236832 0.380620095 -0.066218734
    ---
    > 1 -0.2274334729 0.089143004 0.066369491 0.243352635 -0.051781028
    > 5 0.0274927901 -0.032248624 -0.104236832 0.380620095 -0.066218734
    2320,2328c2320,2328
    < 1 -0.110923427 -0.1634907455 -0.065895948 0.034895237 0.1447586659
    < 5 -0.072756702 -0.3655508281 0.064808166 0.005143587 0.1635483990
    < 10 -0.006398513 -0.0007031102 0.002480571 0.004946782 0.0004110672
    < mean -0.039419377 0.0138913782 -0.012338688 -0.013060512 -0.0272746901
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.178230527 -0.030899876
    < 5 0.005741983 0.023511638
    < 10 0.004025100 0.005824760
    < mean -0.031316182 0.009377012
    ---
    > 1 -0.110923427 -0.1634860393 -0.065417875 0.034736249 0.1447065273
    > 5 -0.072756702 -0.3656135275 0.064841504 0.004927934 0.1635478254
    > 10 -0.006398513 -0.0007135702 0.002481104 0.004964602 0.0004091202
    > mean -0.039419377 0.0138966627 -0.012348059 -0.013100110 -0.0272599289
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.178619507 -0.031123121
    > 5 0.005572462 0.023442576
    > 10 0.004025707 0.005855566
    > mean -0.031269333 0.009408115
    2333,2334c2333,2334
    < 1 0.0068307497 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    < 5 -0.0755630123 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    ---
    > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
    > 5 -0.0755630122 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
    2338,2346c2338,2346
    < 1 0.0067652152 0.02482717 -0.007132244 -0.0016813137 -0.004858253
    < 5 -0.0056740947 -0.05095621 -0.002507805 0.0881209679 0.003676665
    < 10 0.0007496257 -0.06786146 -0.029800305 -0.0003243721 -0.124388072
    < mean -0.0096692845 0.04219827 0.004176153 0.0194314210 0.015364291
    < d_y3_d_x4
    < 1 -0.007073870
    < 5 -0.003166506
    < 10 -0.034035059
    < mean -0.001174398
    ---
    > 1 0.0067421558 0.02461029 -0.007100758 -0.001683054 -0.004915436
    > 5 -0.0055783709 -0.05095735 -0.002522731 0.088168991 0.003655392
    > 10 0.0006847522 -0.06785055 -0.029702141 -0.000182194 -0.124354974
    > mean -0.0096692049 0.04220950 0.004248509 0.019465517 0.015358627
    > d_y3_d_x4
    > 1 -0.006969484
    > 5 -0.003065135
    > 10 -0.033881256
    > mean -0.001091776
    2351c2351
    < 1 0.1589283487 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    ---
    > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
    2355,2364c2355,2359
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 0.0122755018 0.03624679 -0.25929664 -0.0683931619 0.10609847
    < 5 -0.0689660516 0.01311081 -0.14267792 -0.0175189865 0.06322171
    < 10 0.0009141576 -0.01953567 -0.09175208 -0.0007818626 -0.02874143
    < mean -0.0334476019 0.01523310 -0.06549887 -0.0097769890 0.02944344
    < d_y3_d_x4
    < 1 0.14925101
    < 5 0.01111095
    < 10 -0.14045609
    < mean 0.02454733
    ---
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.012307140 0.03663825 -0.25915624 -0.0683888638 0.10552589 0.14901568
    > 5 -0.068977037 0.01307835 -0.14270346 -0.0175648413 0.06314878 0.01104703
    > 10 0.000936581 -0.01954074 -0.09169794 -0.0006430461 -0.02874204 -0.14039647
    > mean -0.033447591 0.01539275 -0.06542044 -0.0097387319 0.02924573 0.02451390
    2369,2382c2364,2377
    < 1 3.934286e-01 -0.044425020 -0.0589534852 -0.1634907455 0.0067652152
    < 5 5.540639e-02 0.111725783 0.2077087857 -0.3655508281 -0.0056740947
    < 10 3.910299e-05 0.001119961 0.0001153093 -0.0007031102 0.0007496257
    < mean -5.398643e-02 0.005496937 0.0408532581 0.0138913782 -0.0096692845
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0122755018 0.3041483610 -0.0146727944 -0.086880437 -0.2673697861
    < 5 -0.0689660516 0.8884786267 -0.1309429600 -0.084807263 -0.4882227548
    < 10 0.0009141576 0.0002010184 -0.0008269078 -0.001171050 -0.0001169866
    < mean -0.0334476019 0.0510479210 -0.0100354163 -0.007668509 -0.0121701363
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.088302701 0.0500342788
    < 5 -0.040929466 -0.0141029862
    < 10 -0.001410629 -0.0009810036
    < mean 0.009443088 -0.0040337275
    ---
    > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
    > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
    > 10 3.956835e-05 0.001031063 0.0002019259 -0.0007135702 0.0006847522
    > mean -5.399636e-02 0.005435604 0.0408929985 0.0138966627 -0.0096692049
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.012307140 0.3041791387 -0.0153415475 -0.086915250 -0.2673497162
    > 5 -0.068977037 0.8888133639 -0.1312317856 -0.084254369 -0.4883874931
    > 10 0.000936581 0.0002049371 -0.0007564279 -0.001119009 -0.0001167076
    > mean -0.033447591 0.0510464313 -0.0100229728 -0.007649437 -0.0121552766
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.089085500 0.050521158
    > 5 -0.040612577 -0.013889723
    > 10 -0.001380156 -0.001070066
    > mean 0.009411025 -0.004199630
    2387,2390c2382,2385
    < 1 -0.0545844515 -0.36633542 -0.077033570 -0.065895948 0.02482717
    < 5 0.0922668020 -0.09090843 -0.049667231 0.064808166 -0.05095621
    < 10 -0.0001169125 -0.10893447 -0.005509167 0.002480571 -0.06786146
    < mean -0.0001407298 -0.02052404 -0.007330939 -0.012338688 0.04219827
    ---
    > 1 -0.0551360998 -0.36675497 -0.077701852 -0.065417875 0.02461029
    > 5 0.0922666787 -0.09073310 -0.049802098 0.064841504 -0.05095735
    > 10 -0.0001169437 -0.10891460 -0.005508186 0.002481104 -0.06785055
    > mean -0.0001482806 -0.02050368 -0.007395746 -0.012348059 0.04220950
    2392,2400c2387,2395
    < 1 0.03624679 -0.0146727944 0.53412794 0.028046176 0.0499321586 0.78776994
    < 5 0.01311081 -0.1309429600 0.36791631 0.026678850 -0.0433949192 0.04116895
    < 10 -0.01953567 -0.0008269078 0.08991047 0.029517722 0.0004160018 0.15675641
    < mean 0.01523310 -0.0100354163 0.02677747 0.001899146 0.0112226982 0.04196367
    < d_y3_d_x4
    < 1 0.0822236830
    < 5 -0.0304562181
    < 10 0.0338585491
    < mean -0.0003278372
    ---
    > 1 0.03663825 -0.0153415475 0.53571025 0.028589501 0.0502931362 0.78867418
    > 5 0.01307835 -0.1312317856 0.36770203 0.026887572 -0.0435083937 0.04107823
    > 10 -0.01954074 -0.0007564279 0.08985383 0.029394250 0.0002325527 0.15666266
    > mean 0.01539275 -0.0100229728 0.02671574 0.001916145 0.0111372431 0.04201681
    > d_y3_d_x4
    > 1 8.319167e-02
    > 5 -3.027008e-02
    > 10 3.361876e-02
    > mean -9.363888e-05
    2405,2408c2400,2403
    < 1 -0.2432581367 0.03799573 0.47425474 0.034895237 -0.007132244
    < 5 -0.0213238363 0.03549096 -0.08374910 0.005143587 -0.002507805
    < 10 -0.0002194712 -0.03755846 -0.04793679 0.004946782 -0.029800305
    < mean -0.0383490510 0.01835492 0.08701954 -0.013060512 0.004176153
    ---
    > 1 -0.2431539207 0.03806791 0.47423595 0.034736249 -0.007100758
    > 5 -0.0209438968 0.03541485 -0.08350722 0.004927934 -0.002522731
    > 10 -0.0002206918 -0.03738140 -0.04781628 0.004964602 -0.029702141
    > mean -0.0383790235 0.01837385 0.08712130 -0.013100110 0.004248509
    2410,2418c2405,2413
    < 1 -0.25929664 -0.086880437 0.028046176 0.5420574 0.1174787233 -0.07872452
    < 5 -0.14267792 -0.084807263 0.026678850 0.4428440 0.0923533969 -0.09298806
    < 10 -0.09175208 -0.001171050 0.029517722 0.1344002 0.0007734578 0.03941158
    < mean -0.06549887 -0.007668509 0.001899146 0.1824442 0.0293194432 -0.03419992
    < d_y3_d_x4
    < 1 -0.18479475
    < 5 0.03846137
    < 10 0.16918625
    < mean -0.05560452
    ---
    > 1 -0.25915624 -0.086915250 0.028589501 0.5430830 0.1173791359 -0.07875333
    > 5 -0.14270346 -0.084254369 0.026887572 0.4427421 0.0917414656 -0.09290091
    > 10 -0.09169794 -0.001119009 0.029394250 0.1344230 0.0006774422 0.03900411
    > mean -0.06542044 -0.007649437 0.001916145 0.1826420 0.0293832680 -0.03434150
    > d_y3_d_x4
    > 1 -0.18429040
    > 5 0.03875653
    > 10 0.16897835
    > mean -0.05563589
    2423,2436c2418,2431
    < 1 -4.944853e-01 -0.0186951558 0.1896566521 0.1447586659 -0.0016813137
    < 5 -2.595350e-01 -0.1448381970 -0.0711749077 0.1635483990 0.0881209679
    < 10 -2.332565e-05 -0.0004868155 -0.0002881854 0.0004110672 -0.0003243721
    < mean -5.105689e-02 -0.0417439997 0.0277307543 -0.0272746901 0.0194314210
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.0683931619 -0.2673697861 0.0499321586 0.1174787233 3.486025e-01
    < 5 -0.0175189865 -0.4882227548 -0.0433949192 0.0923533969 6.542542e-01
    < 10 -0.0007818626 -0.0001169866 0.0004160018 0.0007734578 7.361778e-05
    < mean -0.0097769890 -0.0121701363 0.0112226982 0.0293194432 9.683524e-02
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0244780006 -0.186198829
    < 5 0.0435973898 -0.142957210
    < 10 0.0006209189 0.001044309
    < mean 0.0432648258 -0.062997985
    ---
    > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
    > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
    > 10 -2.316957e-05 -0.0002466476 -0.000167342 0.0004091202 -0.000182194
    > mean -5.100716e-02 -0.0417118839 0.027720262 -0.0272599289 0.019465517
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.0683888638 -0.2673497162 0.0502931362 0.1173791359 3.484787e-01
    > 5 -0.0175648413 -0.4883874931 -0.0435083937 0.0917414656 6.538214e-01
    > 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006774422 7.263175e-05
    > mean -0.0097387319 -0.0121552766 0.0111372431 0.0293832680 9.680299e-02
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.0237422937 -0.1867641107
    > 5 0.0431861770 -0.1430103473
    > 10 0.0002043577 0.0007809695
    > mean 0.0430877156 -0.0630216808
    2441,2444c2436,2439
    < 1 -0.0198229985 -0.65413500 -0.147082517 -0.178230527 -0.004858253
    < 5 -0.0399537906 -0.08484975 -0.028633123 0.005741983 0.003676665
    < 10 -0.0001923054 -0.20179176 -0.009574259 0.004025100 -0.124388072
    < mean -0.0380279444 -0.13147660 -0.021156231 -0.031316182 0.015364291
    ---
    > 1 -0.0188374345 -0.65426181 -0.146882467 -0.178619507 -0.004915436
    > 5 -0.0399301204 -0.08451449 -0.028543080 0.005572462 0.003655392
    > 10 -0.0001923111 -0.20173639 -0.009577636 0.004025707 -0.124354974
    > mean -0.0379985139 -0.13140706 -0.021115011 -0.031269333 0.015358627
    2446,2454c2441,2449
    < 1 0.10609847 0.088302701 0.78776994 -0.07872452 0.0244780006 1.4551324
    < 5 0.06322171 -0.040929466 0.04116895 -0.09298806 0.0435973898 0.2496839
    < 10 -0.02874143 -0.001410629 0.15675641 0.03941158 0.0006209189 0.3033983
    < mean 0.02944344 0.009443088 0.04196367 -0.03419992 0.0432648258 0.3238163
    < d_y3_d_x4
    < 1 0.13386282
    < 5 -0.04520915
    < 10 0.05138708
    < mean 0.02371622
    ---
    > 1 0.10552589 0.089085500 0.78867418 -0.07875333 0.0237422937 1.4556119
    > 5 0.06314878 -0.040612577 0.04107823 -0.09290091 0.0431861770 0.2495913
    > 10 -0.02874204 -0.001380156 0.15666266 0.03900411 0.0002043577 0.3032282
    > mean 0.02924573 0.009411025 0.04201681 -0.03434150 0.0430877156 0.3238106
    > d_y3_d_x4
    > 1 0.13436032
    > 5 -0.04532905
    > 10 0.05086440
    > mean 0.02377482
    2459,2472c2454,2467
    < 1 0.269608565 -0.0552752423 -0.37529645 -0.030899876 -0.007073870
    < 5 0.081566935 0.0541038449 -0.06049581 0.023511638 -0.003166506
    < 10 -0.000239452 -0.0441614036 -0.09158989 0.005824760 -0.034035059
    < mean 0.058379517 0.0000317336 -0.08593253 0.009377012 -0.001174398
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.14925101 0.0500342788 0.0822236830 -0.18479475 -0.186198829
    < 5 0.01111095 -0.0141029862 -0.0304562181 0.03846137 -0.142957210
    < 10 -0.14045609 -0.0009810036 0.0338585491 0.16918625 0.001044309
    < mean 0.02454733 -0.0040337275 -0.0003278372 -0.05560452 -0.062997985
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.13386282 0.4416161
    < 5 -0.04520915 0.2294765
    < 10 0.05138708 0.2861057
    < mean 0.02371622 0.1908066
    ---
    > 1 0.270328853 -5.504100e-02 -0.37513506 -0.031123121 -0.006969484
    > 5 0.081681433 5.376516e-02 -0.06042803 0.023442576 -0.003065135
    > 10 -0.000241325 -4.389582e-02 -0.09148118 0.005855566 -0.033881256
    > mean 0.058420857 -2.400034e-05 -0.08589753 0.009408115 -0.001091776
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.14901568 0.050521158 8.319167e-02 -0.18429040 -0.1867641107
    > 5 0.01104703 -0.013889723 -3.027008e-02 0.03875653 -0.1430103473
    > 10 -0.14039647 -0.001070066 3.361876e-02 0.16897835 0.0007809695
    > mean 0.02451390 -0.004199630 -9.363888e-05 -0.05563589 -0.0630216808
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.13436032 0.4426038
    > 5 -0.04532905 0.2294027
    > 10 0.05086440 0.2857090
    > mean 0.02377482 0.1907257
    2476,2513c2471,2508
    < d_y1_d_x1 0.1626490561 0.0104253263 -0.105871709 0.052385189 -0.016219245
    < d_y2_d_x1 0.0104253263 0.1517178036 0.023939392 0.014984015 -0.020431173
    < d_y3_d_x1 -0.1058717094 0.0239393920 0.209509037 -0.015516234 -0.004223757
    < d_y1_d_x2 0.0523851888 0.0149840150 -0.015516234 0.058997209 -0.024817479
    < d_y2_d_x2 -0.0162192448 -0.0204311730 -0.004223757 -0.024817479 0.110703946
    < d_y3_d_x2 0.0252988980 -0.0170868753 -0.081037045 -0.039419377 0.026558814
    < d_y1_d_x3 -0.0539864310 0.0054969371 0.040853258 0.013891378 -0.009669284
    < d_y2_d_x3 -0.0001407298 -0.0205240410 -0.007330939 -0.012338688 0.042198267
    < d_y3_d_x3 -0.0383490510 0.0183549215 0.087019539 -0.013060512 0.004176153
    < d_y1_d_x4 -0.0510568912 -0.0417439997 0.027730754 -0.027274690 0.019431421
    < d_y2_d_x4 -0.0380279444 -0.1314765982 -0.021156231 -0.031316182 0.015364291
    < d_y3_d_x4 0.0583795170 0.0000317336 -0.085932530 0.009377012 -0.001174398
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 0.025298898 -0.053986431 -0.0001407298 -0.038349051 -0.051056891
    < d_y2_d_x1 -0.017086875 0.005496937 -0.0205240410 0.018354921 -0.041744000
    < d_y3_d_x1 -0.081037045 0.040853258 -0.0073309387 0.087019539 0.027730754
    < d_y1_d_x2 -0.039419377 0.013891378 -0.0123386882 -0.013060512 -0.027274690
    < d_y2_d_x2 0.026558814 -0.009669284 0.0421982671 0.004176153 0.019431421
    < d_y3_d_x2 0.229423945 -0.033447602 0.0152330975 -0.065498874 -0.009776989
    < d_y1_d_x3 -0.033447602 0.051047921 -0.0100354163 -0.007668509 -0.012170136
    < d_y2_d_x3 0.015233097 -0.010035416 0.0267774715 0.001899146 0.011222698
    < d_y3_d_x3 -0.065498874 -0.007668509 0.0018991463 0.182444151 0.029319443
    < d_y1_d_x4 -0.009776989 -0.012170136 0.0112226982 0.029319443 0.096835243
    < d_y2_d_x4 0.029443439 0.009443088 0.0419636683 -0.034199922 0.043264826
    < d_y3_d_x4 0.024547332 -0.004033727 -0.0003278372 -0.055604523 -0.062997985
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.038027944 0.0583795170
    < d_y2_d_x1 -0.131476598 0.0000317336
    < d_y3_d_x1 -0.021156231 -0.0859325299
    < d_y1_d_x2 -0.031316182 0.0093770123
    < d_y2_d_x2 0.015364291 -0.0011743977
    < d_y3_d_x2 0.029443439 0.0245473325
    < d_y1_d_x3 0.009443088 -0.0040337275
    < d_y2_d_x3 0.041963668 -0.0003278372
    < d_y3_d_x3 -0.034199922 -0.0556045235
    < d_y1_d_x4 0.043264826 -0.0629979848
    < d_y2_d_x4 0.323816275 0.0237162220
    < d_y3_d_x4 0.023716222 0.1908065893
    ---
    > d_y1_d_x1 0.1626490560 1.042533e-02 -0.105871709 0.052385189 -0.016219245
    > d_y2_d_x1 0.0104253263 1.517178e-01 0.023939392 0.014984015 -0.020431173
    > d_y3_d_x1 -0.1058717093 2.393939e-02 0.209509037 -0.015516234 -0.004223757
    > d_y1_d_x2 0.0523851888 1.498401e-02 -0.015516234 0.058997209 -0.024817479
    > d_y2_d_x2 -0.0162192448 -2.043117e-02 -0.004223757 -0.024817479 0.110703946
    > d_y3_d_x2 0.0252988980 -1.708688e-02 -0.081037045 -0.039419377 0.026558814
    > d_y1_d_x3 -0.0539963555 5.435604e-03 0.040892998 0.013896663 -0.009669205
    > d_y2_d_x3 -0.0001482806 -2.050368e-02 -0.007395746 -0.012348059 0.042209499
    > d_y3_d_x3 -0.0383790235 1.837385e-02 0.087121303 -0.013100110 0.004248509
    > d_y1_d_x4 -0.0510071578 -4.171188e-02 0.027720262 -0.027259929 0.019465517
    > d_y2_d_x4 -0.0379985139 -1.314071e-01 -0.021115011 -0.031269333 0.015358627
    > d_y3_d_x4 0.0584208567 -2.400034e-05 -0.085897525 0.009408115 -0.001091776
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 0.025298898 -0.053996355 -1.482806e-04 -0.038379023 -0.051007158
    > d_y2_d_x1 -0.017086875 0.005435604 -2.050368e-02 0.018373848 -0.041711884
    > d_y3_d_x1 -0.081037045 0.040892998 -7.395746e-03 0.087121303 0.027720262
    > d_y1_d_x2 -0.039419377 0.013896663 -1.234806e-02 -0.013100110 -0.027259929
    > d_y2_d_x2 0.026558814 -0.009669205 4.220950e-02 0.004248509 0.019465517
    > d_y3_d_x2 0.229423945 -0.033447591 1.539275e-02 -0.065420443 -0.009738732
    > d_y1_d_x3 -0.033447591 0.051046431 -1.002297e-02 -0.007649437 -0.012155277
    > d_y2_d_x3 0.015392751 -0.010022973 2.671574e-02 0.001916145 0.011137243
    > d_y3_d_x3 -0.065420443 -0.007649437 1.916145e-03 0.182641990 0.029383268
    > d_y1_d_x4 -0.009738732 -0.012155277 1.113724e-02 0.029383268 0.096802988
    > d_y2_d_x4 0.029245729 0.009411025 4.201681e-02 -0.034341495 0.043087716
    > d_y3_d_x4 0.024513901 -0.004199630 -9.363888e-05 -0.055635892 -0.063021681
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.037998514 5.842086e-02
    > d_y2_d_x1 -0.131407058 -2.400034e-05
    > d_y3_d_x1 -0.021115011 -8.589753e-02
    > d_y1_d_x2 -0.031269333 9.408115e-03
    > d_y2_d_x2 0.015358627 -1.091776e-03
    > d_y3_d_x2 0.029245729 2.451390e-02
    > d_y1_d_x3 0.009411025 -4.199630e-03
    > d_y2_d_x3 0.042016814 -9.363888e-05
    > d_y3_d_x3 -0.034341495 -5.563589e-02
    > d_y1_d_x4 0.043087716 -6.302168e-02
    > d_y2_d_x4 0.323810632 2.377482e-02
    > d_y3_d_x4 0.023774823 1.907257e-01
    2521,2534c2516,2529
    < 1 0.2844103080 0.0365935254 0.0780064050 -0.22745182 0.0193807806
    < 5 -0.1562244503 -0.0003601466 -0.0126554974 0.17568006 -0.0172254690
    < 10 -0.0008151565 0.0002331714 0.0007906751 0.01741561 -0.0046686689
    < mean 0.0424569004 0.0121555167 0.0220471942 -0.01145205 -0.0008377857
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.02311634 0.278668755 -0.067612582 0.013977708 -0.233313369
    < 5 -0.04385058 -0.365596442 0.050176530 0.087863050 0.241850984
    < 10 -0.01341462 -0.004374279 0.001376677 0.004041212 0.001687539
    < mean -0.02679385 -0.030433989 -0.005353125 0.035293990 0.003408385
    < d_y2_d_x4 d_y3_d_x4
    < 1 -6.972201e-02 -0.004485301
    < 5 -1.494360e-02 -0.015187851
    < 10 -8.881784e-05 -0.001243450
    < mean -2.825148e-02 -0.006972201
    ---
    > 1 0.2844103081 0.0365935258 0.0780064050 -0.22745182 0.019380780
    > 5 -0.1562244504 -0.0003601467 -0.0126554978 0.17568006 -0.017225469
    > 10 -0.0008151563 0.0002331714 0.0007906753 0.01741561 -0.004668669
    > mean 0.0424569005 0.0121555168 0.0220471942 -0.01145205 -0.000837786
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.02311634 0.278693735 -0.067768013 0.013911094 -0.233257857
    > 5 -0.04385058 -0.365474317 0.050365268 0.088007379 0.241984210
    > 10 -0.01341462 -0.004107825 0.001389167 0.004463097 0.002042810
    > mean -0.02679385 -0.030296136 -0.005337860 0.035460523 0.003589721
    > d_y2_d_x4 d_y3_d_x4
    > 1 -6.892265e-02 -0.0040412118
    > 5 -1.525446e-02 -0.0153210777
    > 10 -3.885781e-05 -0.0009769963
    > mean -2.807199e-02 -0.0067797619
    2545c2540
    < 5 -0.04385058 -0.3659073 0.05033196 0.08801848 0.24202862 -0.015032420
    ---
    > 5 -0.04385058 -0.3656297 0.05028755 0.08800738 0.24207303 -0.015210055
    2547c2542
    < mean -0.01461686 -0.1219691 0.01677732 0.02933949 0.08067621 -0.005010807
    ---
    > mean -0.01461686 -0.1218766 0.01676252 0.02933579 0.08069101 -0.005070018
    2550c2545
    < 5 -0.015276669
    ---
    > 5 -0.015321078
    2552c2547
    < mean -0.005092223
    ---
    > mean -0.005107026
    2560c2555
    < mean 0.09480344 0.01219784 0.02600214 0.199251 -0.040290313 -0.09995937
    ---
    > mean 0.09480344 0.01219784 0.02600214 0.199251 -0.040290314 -0.09995937
    2562c2557
    < 1 0.27866875 -0.06761258 0.013977708 -0.23331337 -0.06972201 -0.004485301
    ---
    > 1 0.27877145 -0.06776801 0.013755663 -0.23330227 -0.06892265 -0.003952394
    2565c2560
    < mean 0.09288958 -0.02253753 0.004659236 -0.07777112 -0.02324067 -0.001495100
    ---
    > mean 0.09292382 -0.02258934 0.004585221 -0.07776742 -0.02297422 -0.001317465
    2570,2583c2565,2578
    < 1 -0.303700069 -0.0390754340 -0.0832970882 0.24287844 -0.020695256
    < 5 0.097646416 0.0002251058 0.0079101827 -0.10980693 0.010766595
    < 10 -0.001022055 0.0002923537 0.0009913603 0.02183595 -0.005853647
    < mean -0.069025236 -0.0128526582 -0.0247985150 0.05163582 -0.005260769
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.02468417 -0.149770765 0.016177012 -0.172827926 0.249206211
    < 5 0.02740834 0.484626391 -0.074524474 -0.138962472 -0.151922919
    < 10 -0.01681944 -0.004709519 0.001474481 0.004407083 0.003108624
    < mean 0.01175769 0.110048702 -0.018957661 -0.102461105 0.033463972
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0741184891 0.004574119
    < 5 0.0092814645 0.008926193
    < 10 -0.0000721645 -0.001154632
    < mean 0.0277759297 0.004115227
    ---
    > 1 -0.303700069 -0.0390754343 -0.0832970886 0.24287844 -0.020695256
    > 5 0.097646416 0.0002251057 0.0079101828 -0.10980693 0.010766595
    > 10 -0.001022055 0.0002923537 0.0009913604 0.02183595 -0.005853647
    > mean -0.069025236 -0.0128526583 -0.0247985151 0.05163582 -0.005260770
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
    > 5 0.02740834 0.484715209 -0.074546679 -0.138729325 -0.151567647
    > 10 -0.01681944 -0.004587394 0.001521665 0.004795661 0.003241851
    > mean 0.01175769 0.110094499 -0.018712486 -0.102553623 0.033587947
    > d_y2_d_x4 d_y3_d_x4
    > 1 7.305268e-02 0.0038191672
    > 5 9.370282e-03 0.0091482377
    > 10 -1.665335e-05 -0.0006661338
    > mean 2.746877e-02 0.0041004237
    2588,2601c2583,2596
    < 1 0.1212908204 0.0156058291 0.033266941 -0.097000062 0.008265210
    < 5 -0.1283510527 -0.0002958895 -0.010397517 0.144335412 -0.014152119
    < 10 0.0003101437 -0.0000887149 -0.000300829 -0.006626134 0.001776293
    < mean -0.0022500295 0.0050737415 0.007522865 0.013569738 -0.001370206
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.009858291 0.118906274 -0.0281663581 0.006017409 0.0483027366
    < 5 -0.036026810 -0.299982261 0.0414279722 0.073407946 0.4558161031
    < 10 0.005103872 0.001165734 -0.0005440093 -0.002586820 -0.0002020132
    < mean -0.013593743 -0.059970084 0.0042392016 0.025612845 0.1679722755
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0855305198 -0.159671783
    < 5 -0.0553731270 -0.095541649
    < 10 -0.0002394261 -0.001210645
    < mean -0.0470476910 -0.085474693
    ---
    > 1 0.1212908204 1.560583e-02 0.0332669405 -0.097000062 0.008265210
    > 5 -0.1283510529 -2.958896e-04 -0.0103975173 0.144335412 -0.014152120
    > 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626135 0.001776293
    > mean -0.0022500296 5.073742e-03 0.0075228648 0.013569738 -0.001370206
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
    > 5 -0.036026809 -0.30095926 0.0412836432 0.072242212 4.554608e-01
    > 10 0.005103872 0.00184297 -0.0005273559 -0.001398881 2.003137e-05
    > mean -0.013593743 -0.06004132 0.0040375111 0.025627648 1.679538e-01
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0845979325 -1.595830e-01
    > 5 -0.0554175360 -9.558606e-02
    > 10 -0.0002172217 -1.160433e-05
    > mean -0.0467442301 -8.506021e-02
    2606c2601
    < 1 -0.0090414670 -0.15337587 -0.019587546 0.038823785 -0.14266410
    ---
    > 1 -0.0090414667 -0.15337587 -0.019587546 0.038823785 -0.14266410
    2608,2609c2603,2604
    < 10 0.0001596093 0.21970457 0.006612413 -0.003257077 0.13273560
    < mean 0.0080240614 0.06916869 -0.001320640 0.006892933 -0.01930617
    ---
    > 10 0.0001596092 0.21970457 0.006612413 -0.003257078 0.13273560
    > mean 0.0080240615 0.06916869 -0.001320640 0.006892933 -0.01930617
    2611,2619c2606,2614
    < 1 -0.011727560 -0.042663095 0.35057512 0.030753178 0.0128896893
    < 5 -0.004653031 0.046695980 -0.08004708 -0.002331468 -0.0523137089
    < 10 0.012840269 0.001099121 -0.22647717 -0.018174351 -0.0009325873
    < mean -0.001180107 0.001710669 0.01468362 0.003415786 -0.0134522023
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.32795988 0.029221070
    < 5 -0.08233414 0.009858780
    < 10 -0.30221381 -0.018696156
    < mean -0.01886269 0.006794565
    ---
    > 1 -0.011727560 -0.0426436664 0.35113024 0.030886405 0.0128785871
    > 5 -0.004653031 0.0463296068 -0.07983059 -0.002808864 -0.0527133892
    > 10 0.012840268 0.0007993606 -0.22631341 -0.018218760 -0.0007105427
    > mean -0.001180108 0.0014951003 0.01499541 0.003286260 -0.0135151150
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.32804870 0.029398706
    > 5 -0.08200107 0.009015011
    > 10 -0.30195846 -0.018163249
    > mean -0.01863694 0.006750156
    2629,2632c2624,2627
    < 1 0.00000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.00000000
    < 5 0.04669598 -0.08004708 -0.0023314684 -0.05231371 -0.08233414 0.00985878
    < 10 0.00000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.00000000
    < mean 0.01556533 -0.02668236 -0.0007771561 -0.01743790 -0.02744471 0.00328626
    ---
    > 1 0.0000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
    > 5 0.0462963 -0.07984724 -0.0028088643 -0.05249134 -0.08189005 0.009015011
    > 10 0.0000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
    > mean 0.0154321 -0.02661575 -0.0009362881 -0.01749711 -0.02729668 0.003005004
    2642c2637
    < 1 -0.04266310 0.3505751 0.03075318 0.012889689 0.3279599 0.029221070
    ---
    > 1 -0.04264367 0.3511302 0.03088640 0.012878587 0.3280487 0.029398706
    2645c2640
    < mean -0.01422103 0.1168584 0.01025106 0.004296563 0.1093200 0.009740357
    ---
    > mean -0.01421456 0.1170434 0.01029547 0.004292862 0.1093496 0.009799569
    2650,2652c2645,2647
    < 1 0.0096546928 0.1637784 0.020916046 -0.041456958 0.15234011 0.012522967
    < 5 -0.0205975704 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
    < 10 0.0002001206 0.2754689 0.008290742 -0.004083773 0.16642588 0.016099320
    ---
    > 1 0.0096546928 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
    > 5 -0.0205975703 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
    > 10 0.0002001207 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
    2655,2663c2650,2658
    < 1 0.029432752 -0.11748579 -0.006570394 -0.0137057032 -0.34994230
    < 5 -0.070775066 0.45038366 0.038498185 0.0317079696 0.05060397
    < 10 0.001904794 -0.15654633 -0.006716215 -0.0002664535 -0.37869152
    < mean -0.013145840 0.05878385 0.008403858 0.0059119376 -0.22600995
    < d_y3_d_x4
    < 1 -0.03175238
    < 5 -0.00657252
    < 10 -0.02273737
    < mean -0.02035409
    ---
    > 1 0.029296749 -0.11915112 -0.006581496 -0.0137168055 -0.35020875
    > 5 -0.071041520 0.45043917 0.038775741 0.0317079696 0.05082601
    > 10 0.001849283 -0.15659907 -0.006183308 0.0002220446 -0.37872483
    > mean -0.013298496 0.05822966 0.008670312 0.0060710696 -0.22603586
    > d_y3_d_x4
    > 1 -0.031086245
    > 5 -0.006528111
    > 10 -0.022382096
    > mean -0.019998817
    2668c2663
    < 1 -3.855862e-03 -0.06540932 -0.008353387 0.016556956 -0.06084113
    ---
    > 1 -3.855862e-03 -0.06540932 -0.008353388 0.016556955 -0.06084113
    2670,2671c2665,2666
    < 10 -6.072653e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205
    < mean 7.719276e-03 -0.01100396 -0.001154711 0.001854852 -0.05025696
    ---
    > 10 -6.072676e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205
    > mean 7.719276e-03 -0.01100396 -0.001154711 0.001854851 -0.05025696
    2673,2681c2668,2676
    < 1 -0.005001385 -0.0182187598 0.14950263 0.012789769 -0.0107614851
    < 5 -0.003822842 0.0387800903 -0.06571410 -0.002375877 -0.0844308097
    < 10 -0.004885350 -0.0001665335 0.08608947 0.007838175 0.0002394596
    < mean -0.004569859 0.0067982657 0.05662600 0.006084022 -0.0316509451
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.3959702 0.03858238
    < 5 0.3327944 0.04475984
    < 10 0.2421167 0.02348185
    < mean 0.3236271 0.03560802
    ---
    > 1 -0.005001385 -0.0182381887 0.14911405 0.012800871 -0.0107503829
    > 5 -0.003822842 0.0387800903 -0.06539214 -0.002231548 -0.0844308096
    > 10 -0.004885350 -0.0006883383 0.08605894 0.006772360 -0.0004266743
    > mean -0.004569859 0.0066178544 0.05659362 0.005780561 -0.0318692889
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.3958369 0.03862679
    > 5 0.3331941 0.04462662
    > 10 0.2420390 0.02241604
    > mean 0.3236900 0.03522315
    2686,2687c2681,2682
    < 1 -0.1036330470 -0.015818829 -0.16928537 0.058505811 -0.008350353
    < 5 0.0092022348 0.019490025 0.18335766 -0.062146477 0.007141051
    ---
    > 1 -0.1036330469 -0.015818829 -0.16928537 0.058505811 -0.008350353
    > 5 0.0092022346 0.019490025 0.18335766 -0.062146477 0.007141051
    2690,2699c2685,2694
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 0.03177489 -0.07976397 0.032596148 -0.01486589 0.0833777491 0.021316282
    < 5 0.02361125 0.11701751 -0.026717517 -0.10144108 -0.0392574862 -0.020006219
    < 10 0.15087598 0.00104361 -0.010075274 -0.23103741 -0.0004440892 -0.012145840
    < mean 0.06875404 0.01276571 -0.001398881 -0.11578146 0.0145587246 -0.003611926
    < d_y3_d_x4
    < 1 -0.03352874
    < 5 -0.14108714
    < 10 -0.24735769
    < mean -0.14065786
    ---
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.03177489 -0.079640461 0.033384406 -0.01467715 0.0833833003
    > 5 0.02361125 0.117450494 -0.026795233 -0.10076384 -0.0389466237
    > 10 0.15087598 0.001176836 -0.010071111 -0.23079316 -0.0002664535
    > mean 0.06875404 0.012995623 -0.001160646 -0.11541138 0.0147234077
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.020561330 -0.0338396
    > 5 -0.019784174 -0.1405098
    > 10 -0.012173595 -0.2470912
    > mean -0.003798813 -0.1404802
    2705,2706c2700,2701
    < 5 -7.098635e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.023611252
    < 10 -5.949685e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.000000000
    ---
    > 5 -7.098636e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.023611252
    > 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.000000000
    2710c2705
    < 5 0.11742829 -0.026512126 -0.10118573 -0.03903544 -0.019895197 -0.14077628
    ---
    > 5 0.11732837 -0.026856295 -0.10088597 -0.03907985 -0.019850788 -0.14064305
    2712c2707
    < mean 0.03914276 -0.008837375 -0.03372858 -0.01301181 -0.006631732 -0.04692543
    ---
    > mean 0.03910946 -0.008952098 -0.03362866 -0.01302662 -0.006616929 -0.04688102
    2722c2717
    < 1 -0.07978340 0.03228529 -0.015176749 0.08338885 0.021493918 -0.03335110
    ---
    > 1 -0.07964046 0.03338441 -0.014677148 0.08338330 0.020561330 -0.03383960
    2725c2720
    < mean -0.02659447 0.01076176 -0.005058916 0.02779628 0.007164639 -0.01111703
    ---
    > mean -0.02654682 0.01112814 -0.004892383 0.02779443 0.006853777 -0.01127987
    2730,2743c2725,2738
    < 1 0.1106618243 0.016891721 0.18076693 -0.062473892 0.008916705
    < 5 -0.0057517580 -0.012182031 -0.11460574 0.038843988 -0.004463437
    < 10 0.0002241388 0.014377230 0.15542185 -0.005842267 0.012104684
    < mean 0.0350447351 0.006362307 0.07386101 -0.009824057 0.005519317
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.03392998 3.954792e-02 -0.006006638 0.4478559 -0.089112051
    < 5 -0.01475796 -1.429732e-01 0.050155070 0.4643641 0.025046631
    < 10 0.18917056 -7.079115e-06 -0.009170551 -0.1033937 -0.001421085
    < mean 0.04682754 -3.447746e-02 0.011659294 0.2696088 -0.021828835
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.022515323 0.03570477
    < 5 0.012656542 0.08801848
    < 10 -0.015282220 -0.31032954
    < mean -0.008380333 -0.06220210
    ---
    > 1 0.1106618239 0.016891720 0.18076693 -0.062473892 0.008916705
    > 5 -0.0057517577 -0.012182031 -0.11460574 0.038843988 -0.004463437
    > 10 0.0002241385 0.014377230 0.15542185 -0.005842267 0.012104684
    > mean 0.0350447349 0.006362306 0.07386101 -0.009824057 0.005519317
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.03392998 0.0396520083 -0.005284993 0.4483888 -0.0890953977
    > 5 -0.01475796 -0.1431397494 0.050005190 0.4643419 0.0254463117
    > 10 0.18917056 0.0003926011 -0.009184429 -0.1029607 -0.0008881784
    > mean 0.04682754 -0.0343650467 0.011845256 0.2699233 -0.0215124215
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.022826185 0.03606004
    > 5 0.012767565 0.08828493
    > 10 -0.015293322 -0.31001868
    > mean -0.008450648 -0.06189123
    2748,2761c2743,2756
    < 1 -0.0441957868 -0.006746165 -0.07219415 0.024950635 -0.0035611267
    < 5 0.0075603817 0.016012636 0.15064319 -0.051058369 0.0058669523
    < 10 -0.0000680147 -0.004362780 -0.04716287 0.001772840 -0.0036731748
    < mean -0.0122344733 0.001634564 0.01042872 -0.008111631 -0.0004557831
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.013550853 -3.386874e-02 0.013999912 -0.0059952043 -0.0097445896
    < 5 0.019398558 9.545698e-02 -0.022631896 -0.0835442826 -0.1048259525
    < 10 -0.057403936 -7.771561e-05 0.003891332 0.0884847751 0.0005702369
    < mean -0.008151508 2.050351e-02 -0.001580217 -0.0003515706 -0.0380001017
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.038924088 0.4181463
    < 5 0.015527214 0.2840417
    < 10 0.008150316 0.2818537
    < mean 0.020867206 0.3280139
    ---
    > 1 -4.419579e-02 -0.006746165 -0.07219415 0.024950635 -0.0035611268
    > 5 7.560382e-03 0.016012636 0.15064319 -0.051058369 0.0058669520
    > 10 -6.801493e-05 -0.004362780 -0.04716287 0.001772840 -0.0036731747
    > mean -1.223447e-02 0.001634564 0.01042872 -0.008111631 -0.0004557832
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.013550854 -0.0338507000 0.015776269 -0.005373479 -0.009716834
    > 5 0.019398558 0.0949684775 -0.022731816 -0.083633100 -0.105358860
    > 10 -0.057403936 -0.0002109424 0.003856637 0.088229424 0.000392601
    > mean -0.008151508 0.0203022784 -0.001032970 -0.000259052 -0.038227698
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.041055716 0.4192121
    > 5 0.015305170 0.2836864
    > 10 0.008144765 0.2815428
    > mean 0.021501883 0.3281471
    2771,2779c2766,2774
    < 1 0.04842374 0.18781782 0.457367477 -0.036348702 -0.002126077
    < 5 0.03805750 -0.13626877 -0.301680902 -0.032607250 0.512923037
    < 10 -0.02126043 -0.01115774 -0.001038059 0.008604228 0.007238654
    < mean 0.02174027 0.01346377 0.051549505 -0.020117241 0.172678538
    < d_y2_d_x4 d_y3_d_x4
    < 1 9.629630e-01 0.019095836
    < 5 1.147082e-01 -0.070032868
    < 10 6.661338e-05 -0.003241851
    < mean 3.592460e-01 -0.018059628
    ---
    > 1 0.04842374 0.18776647 0.457101024 -0.036581849 -0.002109424
    > 5 0.03805750 -0.13611334 -0.301597636 -0.033173464 0.512834220
    > 10 -0.02126043 -0.01127987 -0.001033895 0.009137135 0.007105427
    > mean 0.02174027 0.01345775 0.051489831 -0.020206059 0.172610074
    > d_y2_d_x4 d_y3_d_x4
    > 1 9.633183e-01 0.018873791
    > 5 1.146860e-01 -0.070166095
    > 10 3.885781e-05 -0.002531308
    > mean 3.593477e-01 -0.017941204
    2784,2797c2779,2792
    < 1 0.6779988895 -0.0439634710 -0.7518035116 -0.15287721 0.012866382
    < 5 0.1100880667 -0.0272114691 -0.1341660787 0.25360526 0.002158135
    < 10 -0.0008353512 0.0001322236 -0.0007461054 0.02054856 -0.003285345
    < mean 0.2624172017 -0.0236809055 -0.2955718985 0.04042553 0.003913057
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 0.39436273 0.215595597 0.011479706 -0.516686693 -0.389105415 0.0892619312
    < 5 0.25411486 -0.444344561 0.016325830 -0.312128101 -0.034061642 0.0418554080
    < 10 0.01486094 -0.004285461 0.000928424 -0.003697043 0.001687539 0.0002498002
    < mean 0.22111284 -0.077678142 0.009577987 -0.277503946 -0.140493173 0.0437890465
    < d_y3_d_x4
    < 1 0.451771953
    < 5 0.175415238
    < 10 0.001554312
    < mean 0.209580501
    ---
    > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
    > 5 0.1100880665 -0.0272114692 -0.1341660789 0.25360526 0.002158135
    > 10 -0.0008353512 0.0001322236 -0.0007461053 0.02054856 -0.003285345
    > mean 0.2624172016 -0.0236809056 -0.2955718985 0.04042553 0.003913057
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903
    > 5 0.25411486 -0.444211334 0.0164201985 -0.312128101 -0.033884007
    > 10 0.01486094 -0.004884981 0.0008895662 -0.004019007 0.001776357
    > mean 0.22111284 -0.077825246 0.0096334977 -0.277626070 -0.140385851
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.0893507490 0.451949589
    > 5 0.0416999768 0.175415238
    > 10 0.0002720046 0.001687539
    > mean 0.0437742435 0.209684122
    2802,2810c2797,2805
    < 1 -0.0295668557 -0.03247460 -0.083808061 0.09014664 -0.03836515 -0.12400722
    < 5 0.0509223601 0.17907793 0.041843223 -0.03551199 0.05245643 -0.14276885
    < 10 0.0004814613 0.10663947 -0.004474384 -0.01049811 0.08873839 0.12655913
    < mean 0.0072789886 0.08441427 -0.015479741 0.01471218 0.03427656 -0.04673898
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.101151032 0.17411628 0.20078383 0.036198822 0.005462297 0.1703970
    < 5 0.110256249 -0.19973467 0.24402702 -0.117461596 -0.321098703 0.2318146
    < 10 0.003086420 -0.08058137 -0.24886759 -0.001509903 -0.097927222 -0.2184919
    < mean 0.004063879 -0.03539992 0.06531442 -0.027590893 -0.137854543 0.0612399
    ---
    > 1 -0.0295668558 -0.03247460 -0.083808061 0.09014664 -0.03836515 -0.12400722
    > 5 0.0509223599 0.17907793 0.041843222 -0.03551199 0.05245643 -0.14276885
    > 10 0.0004814612 0.10663947 -0.004474384 -0.01049811 0.08873839 0.12655913
    > mean 0.0072789884 0.08441427 -0.015479741 0.01471218 0.03427656 -0.04673898
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.101010866 0.17555957 0.20126123 0.036270986 0.005906386 0.1701750
    > 5 0.110778053 -0.19941826 0.24453772 -0.116795462 -0.320721227 0.2324363
    > 10 0.002531308 -0.08062023 -0.24942270 -0.001598721 -0.097905017 -0.2189360
    > mean 0.004099499 -0.03482631 0.06545875 -0.027374399 -0.137573286 0.0612251
    2814,2825c2809,2820
    < d_y1_d_x1 0.0424569004 0.229417496 0.094803436 -0.069025236 -0.002250030
    < d_y2_d_x1 0.0121555167 -0.020716702 0.012197842 -0.012852658 0.005073742
    < d_y3_d_x1 0.0220471942 -0.054605274 0.026002135 -0.024798515 0.007522865
    < d_y1_d_x2 -0.0114520499 0.058560019 0.199251002 0.051635820 0.013569738
    < d_y2_d_x2 -0.0008377857 -0.005741823 -0.040290313 -0.005260769 -0.001370206
    < d_y3_d_x2 -0.0267938455 -0.014616861 -0.099959367 0.011757688 -0.013593743
    < d_y1_d_x3 -0.0304339887 -0.121969101 0.092889585 0.110048702 -0.059970084
    < d_y2_d_x3 -0.0053531254 0.016777320 -0.022537527 -0.018957661 0.004239202
    < d_y3_d_x3 0.0352939900 0.029339494 0.004659236 -0.102461105 0.025612845
    < d_y1_d_x4 0.0034083847 0.080676206 -0.077771123 0.033463972 0.167972275
    < d_y2_d_x4 -0.0282514752 -0.005010807 -0.023240669 0.027775930 -0.047047691
    < d_y3_d_x4 -0.0069722006 -0.005092223 -0.001495100 0.004115227 -0.085474693
    ---
    > d_y1_d_x1 0.042456900 0.229417496 0.094803436 -0.069025236 -0.002250030
    > d_y2_d_x1 0.012155517 -0.020716702 0.012197842 -0.012852658 0.005073742
    > d_y3_d_x1 0.022047194 -0.054605274 0.026002135 -0.024798515 0.007522865
    > d_y1_d_x2 -0.011452050 0.058560019 0.199251001 0.051635820 0.013569738
    > d_y2_d_x2 -0.000837786 -0.005741823 -0.040290314 -0.005260770 -0.001370206
    > d_y3_d_x2 -0.026793845 -0.014616861 -0.099959367 0.011757689 -0.013593743
    > d_y1_d_x3 -0.030296136 -0.121876583 0.092923817 0.110094499 -0.060041324
    > d_y2_d_x3 -0.005337860 0.016762517 -0.022589338 -0.018712486 0.004037511
    > d_y3_d_x3 0.035460523 0.029335793 0.004585221 -0.102553623 0.025627648
    > d_y1_d_x4 0.003589721 0.080691009 -0.077767422 0.033587947 0.167953772
    > d_y2_d_x4 -0.028071989 -0.005070018 -0.022974215 0.027468768 -0.046744230
    > d_y3_d_x4 -0.006779762 -0.005107026 -0.001317465 0.004100424 -0.085060209
    2827,2838c2822,2833
    < d_y1_d_x1 0.008024061 -0.0221918694 -0.003013822 -0.003580919 0.007719276
    < d_y2_d_x1 0.069168691 0.2834124318 -0.051125291 0.117001952 -0.011003959
    < d_y3_d_x1 -0.001320640 0.0221051352 -0.006529182 0.007857725 -0.001154711
    < d_y1_d_x2 0.006892933 -0.0049626362 -0.025279579 -0.012078401 0.001854852
    < d_y2_d_x2 -0.019306168 -0.0159966694 0.289551399 0.116253877 -0.050256955
    < d_y3_d_x2 -0.001180107 -0.0015510103 0.029159259 0.010510205 -0.004569859
    < d_y1_d_x3 0.001710669 0.0155653268 -0.014221032 -0.013145840 0.006798266
    < d_y2_d_x3 0.014683625 -0.0266823600 0.116858375 0.058783847 0.056626000
    < d_y3_d_x3 0.003415786 -0.0007771561 0.010251059 0.008403858 0.006084022
    < d_y1_d_x4 -0.013452202 -0.0174379030 0.004296563 0.005911938 -0.031650945
    < d_y2_d_x4 -0.018862689 -0.0274447132 0.109319960 -0.226009951 0.323627087
    < d_y3_d_x4 0.006794565 0.0032862602 0.009740357 -0.020354089 0.035608023
    ---
    > d_y1_d_x1 0.008024061 -0.0221918693 -0.003013822 -0.003580919 0.007719276
    > d_y2_d_x1 0.069168691 0.2834124319 -0.051125291 0.117001952 -0.011003959
    > d_y3_d_x1 -0.001320640 0.0221051354 -0.006529182 0.007857725 -0.001154711
    > d_y1_d_x2 0.006892933 -0.0049626362 -0.025279579 -0.012078401 0.001854851
    > d_y2_d_x2 -0.019306168 -0.0159966696 0.289551399 0.116253877 -0.050256955
    > d_y3_d_x2 -0.001180108 -0.0015510103 0.029159259 0.010510205 -0.004569859
    > d_y1_d_x3 0.001495100 0.0154321000 -0.014214555 -0.013298496 0.006617854
    > d_y2_d_x3 0.014995412 -0.0266157466 0.117043412 0.058229661 0.056593619
    > d_y3_d_x3 0.003286260 -0.0009362881 0.010295468 0.008670312 0.005780561
    > d_y1_d_x4 -0.013515115 -0.0174971149 0.004292862 0.006071070 -0.031869289
    > d_y2_d_x4 -0.018636944 -0.0272966834 0.109349566 -0.226035857 0.323689999
    > d_y3_d_x4 0.006750156 0.0030050037 0.009799569 -0.019998817 0.035223146
    2841,2851c2836,2846
    < d_y2_d_x1 0.005045995 0.020659976 -0.005272943 0.006362307 0.0016345635
    < d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861012 0.0104287229
    < d_y1_d_x2 -0.002766753 -0.020715492 -0.061132915 -0.009824057 -0.0081116314
    < d_y2_d_x2 0.002814993 0.002380350 0.027709100 0.005519317 -0.0004557831
    < d_y3_d_x2 0.068754041 0.007870417 0.398240728 0.046827540 -0.0081515082
    < d_y1_d_x3 0.012765714 0.039142763 -0.026594467 -0.034477457 0.0205035063
    < d_y2_d_x3 -0.001398881 -0.008837375 0.010761762 0.011659294 -0.0015802174
    < d_y3_d_x3 -0.115781458 -0.033728575 -0.005058916 0.269608760 -0.0003515706
    < d_y1_d_x4 0.014558725 -0.013011814 0.027796284 -0.021828835 -0.0380001017
    < d_y2_d_x4 -0.003611926 -0.006631732 0.007164639 -0.008380333 0.0208672060
    < d_y3_d_x4 -0.140657856 -0.046925427 -0.011117033 -0.062202095 0.3280138925
    ---
    > d_y2_d_x1 0.005045995 0.020659975 -0.005272943 0.006362306 0.0016345637
    > d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861011 0.0104287230
    > d_y1_d_x2 -0.002766753 -0.020715492 -0.061132915 -0.009824057 -0.0081116315
    > d_y2_d_x2 0.002814993 0.002380350 0.027709100 0.005519317 -0.0004557832
    > d_y3_d_x2 0.068754042 0.007870417 0.398240728 0.046827540 -0.0081515083
    > d_y1_d_x3 0.012995623 0.039109456 -0.026546820 -0.034365047 0.0203022784
    > d_y2_d_x3 -0.001160646 -0.008952098 0.011128135 0.011845256 -0.0010329700
    > d_y3_d_x3 -0.115411384 -0.033628655 -0.004892383 0.269923323 -0.0002590520
    > d_y1_d_x4 0.014723408 -0.013026617 0.027794433 -0.021512421 -0.0382276976
    > d_y2_d_x4 -0.003798813 -0.006616929 0.006853777 -0.008450648 0.0215018835
    > d_y3_d_x4 -0.140480220 -0.046881018 -0.011279866 -0.061891233 0.3281471193
    2853,2855c2848,2850
    < d_y1_d_x1 -0.126350552 0.262417202 0.007278989
    < d_y2_d_x1 -0.202632884 -0.023680905 0.084414267
    < d_y3_d_x1 -0.004951992 -0.295571899 -0.015479741
    ---
    > d_y1_d_x1 -0.126350552 0.262417202 0.007278988
    > d_y2_d_x1 -0.202632884 -0.023680906 0.084414267
    > d_y3_d_x1 -0.004951992 -0.295571898 -0.015479741
    2858,2864c2853,2859
    < d_y3_d_x2 0.021740272 0.221112842 -0.046738981
    < d_y1_d_x3 0.013463767 -0.077678142 0.004063879
    < d_y2_d_x3 0.051549505 0.009577987 -0.035399924
    < d_y3_d_x3 -0.020117241 -0.277503946 0.065314421
    < d_y1_d_x4 0.172678538 -0.140493173 -0.027590893
    < d_y2_d_x4 0.359245966 0.043789046 -0.137854543
    < d_y3_d_x4 -0.018059628 0.209580501 0.061239902
    ---
    > d_y3_d_x2 0.021740271 0.221112842 -0.046738981
    > d_y1_d_x3 0.013457753 -0.077825246 0.004099499
    > d_y2_d_x3 0.051489831 0.009633498 -0.034826309
    > d_y3_d_x3 -0.020206059 -0.277626070 0.065458750
    > d_y1_d_x4 0.172610074 -0.140385851 -0.027374399
    > d_y2_d_x4 0.359347737 0.043774243 -0.137573286
    > d_y3_d_x4 -0.017941204 0.209684122 0.061225099
    2871c2866
    < 3: d_y2_d_x1 0.2319695899 0.513273327 0.45194164 0.65131103
    ---
    > 3: d_y2_d_x1 0.2319695899 0.513273328 0.45194164 0.65131103
    2876,2881c2871,2876
    < 3: d_y1_d_x3 0.0011362273 0.014178097 0.08013962 0.93612621
    < 3: d_y2_d_x3 -0.1491871869 0.299850754 -0.49753814 0.61880961
    < 3: d_y3_d_x3 0.1853439877 0.366606299 0.50556684 0.61316077
    < 3: d_y1_d_x4 -0.0006208183 0.008580080 -0.07235577 0.94231879
    < 3: d_y2_d_x4 -0.1992018262 0.550816062 -0.36164854 0.71761468
    < 3: d_y3_d_x4 0.1994459164 0.534888447 0.37287385 0.70924233
    ---
    > 3: d_y1_d_x3 0.0011362268 0.014315624 0.07936970 0.93673857
    > 3: d_y2_d_x3 -0.1491871870 0.299756283 -0.49769495 0.61869907
    > 3: d_y3_d_x3 0.1853439871 0.366637489 0.50552383 0.61319097
    > 3: d_y1_d_x4 -0.0006208183 0.008522426 -0.07284525 0.94192926
    > 3: d_y2_d_x4 -0.1992018262 0.550661621 -0.36174997 0.71753888
    > 3: d_y3_d_x4 0.1994459163 0.534517512 0.37313261 0.70904975
    2883c2878
    < mean: d_y2_d_x1 0.2067837152 0.389509696 0.53088207 0.59550050
    ---
    > mean: d_y2_d_x1 0.2067837152 0.389509697 0.53088207 0.59550050
    2888,2893c2883,2888
    < mean: d_y1_d_x3 0.1691669428 0.225937870 0.74873213 0.45401867
    < mean: d_y2_d_x3 -0.3354308933 0.163638234 -2.04983203 0.04038082
    < mean: d_y3_d_x3 0.2291505775 0.427134816 0.53648302 0.59162477
    < mean: d_y1_d_x4 -0.1237756934 0.311183616 -0.39775774 0.69080877
    < mean: d_y2_d_x4 -0.3651579862 0.569048570 -0.64169915 0.52106854
    < mean: d_y3_d_x4 0.4305024661 0.436814136 0.98555067 0.32435365
    ---
    > mean: d_y1_d_x3 0.1691669425 0.225934573 0.74874306 0.45401209
    > mean: d_y2_d_x3 -0.3354308937 0.163449508 -2.05219886 0.04015034
    > mean: d_y3_d_x3 0.2291505770 0.427366342 0.53619238 0.59182560
    > mean: d_y1_d_x4 -0.1237756934 0.311131786 -0.39782401 0.69075992
    > mean: d_y2_d_x4 -0.3651579862 0.569043611 -0.64170475 0.52106491
    > mean: d_y3_d_x4 0.4305024659 0.436721569 0.98575957 0.32425111
    2923,2924c2918,2919
    < 7 0.086147908 -0.30982533 0.25313942 -0.065574382 -0.39933261 0.33260130
    < 8 0.252190243 -0.38617280 0.23690022 -0.184985860 -0.46686982 0.37848422
    ---
    > 7 0.086147908 -0.30982533 0.25313942 -0.065574383 -0.39933261 0.33260130
    > 8 0.252190242 -0.38617280 0.23690022 -0.184985860 -0.46686982 0.37848422
    2954,2956c2949,2951
    < 6 0.077898816 -0.07584486 0.06505061 -0.052733734 -0.0983536 0.08502351
    < 7 0.086045011 -0.30982678 0.25307025 -0.065460222 -0.3993349 0.33273176
    < 8 0.252171647 -0.38616972 0.23688608 -0.184932694 -0.4668721 0.37861102
    ---
    > 6 0.077898816 -0.07584485 0.06505061 -0.052733734 -0.0983536 0.08502351
    > 7 0.086045011 -0.30982678 0.25307025 -0.065460223 -0.3993349 0.33273176
    > 8 0.252171647 -0.38616972 0.23688608 -0.184932693 -0.4668721 0.37861102
    2966,2971c2961,2966
    < [7] "Component 7: Mean relative difference: 0.0001634689"
    < [8] "Component 8: Mean relative difference: 0.000165961"
    < [9] "Component 9: Mean relative difference: 0.0002713411"
    < [10] "Component 10: Mean relative difference: 0.0001883149"
    < [11] "Component 11: Mean relative difference: 9.769877e-05"
    < [12] "Component 12: Mean relative difference: 0.000233469"
    ---
    > [7] "Component 7: Mean relative difference: 0.0001634685"
    > [8] "Component 8: Mean relative difference: 0.0001659605"
    > [9] "Component 9: Mean relative difference: 0.0002713412"
    > [10] "Component 10: Mean relative difference: 0.0001883161"
    > [11] "Component 11: Mean relative difference: 9.769861e-05"
    > [12] "Component 12: Mean relative difference: 0.0002334697"
    2990c2985
    < 2 0.518101830 -0.42562594 0.13175546 -0.342035095 -0.46653179 0.27157938
    ---
    > 2 0.518101830 -0.42562594 0.13175546 -0.342035095 -0.46653180 0.27157938
    2995,2996c2990,2991
    < 7 0.085831917 -0.31144596 0.25442557 -0.069814274 -0.40247246 0.33165943
    < 8 0.252832311 -0.38761701 0.23844919 -0.188497673 -0.47013102 0.37789393
    ---
    > 7 0.085831917 -0.31144596 0.25442557 -0.069814275 -0.40247246 0.33165943
    > 8 0.252832312 -0.38761701 0.23844919 -0.188497672 -0.47013102 0.37789393
    3008,3009c3003,3004
    < [9] "Component 9: Mean relative difference: 0.005537837"
    < [10] "Component 10: Mean relative difference: 0.00899678"
    ---
    > [9] "Component 9: Mean relative difference: 0.005537836"
    > [10] "Component 10: Mean relative difference: 0.008996781"
    3011c3006
    < [12] "Component 12: Mean relative difference: 0.007158028"
    ---
    > [12] "Component 12: Mean relative difference: 0.007158029"
    3020,3022c3015,3017
    < [8] "Component 8: Mean relative difference: 0.002203596"
    < [9] "Component 9: Mean relative difference: 0.00552548"
    < [10] "Component 10: Mean relative difference: 0.009180787"
    ---
    > [8] "Component 8: Mean relative difference: 0.002203597"
    > [9] "Component 9: Mean relative difference: 0.005525479"
    > [10] "Component 10: Mean relative difference: 0.009180788"
    3024c3019
    < [12] "Component 12: Mean relative difference: 0.007245038"
    ---
    > [12] "Component 12: Mean relative difference: 0.007245039"
    3035,3045c3030,3040
    < 1 2.671114e-01 -0.0018976595 0.0012381527 -0.0898724971 0.0111026043
    < 5 4.804800e-01 0.0669899034 -0.1865386542 -0.2400866050 0.0134390760
    < 10 7.279534e-05 0.0001048119 0.0002842755 -0.0007541722 0.0001431042
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0232684661 0.0871290977 -0.0177399676 -0.0452749762 -0.0615096107
    < 5 -0.1876624140 -0.1074145476 0.1085141114 0.3282948982 0.0447948558
    < 10 0.0005193529 0.0002662252 -0.0001022926 -0.0004098147 -0.0001890735
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0068204289 -0.0250869153
    < 5 -0.2422418545 0.1374495372
    < 10 -0.0001533034 -0.0005859012
    ---
    > 1 2.671114e-01 -0.001897659 0.0012381527 -0.0898724972 0.0111026042
    > 5 4.804800e-01 0.066989903 -0.1865386538 -0.2400866050 0.0134390757
    > 10 7.279534e-05 0.000104812 0.0002842754 -0.0007541722 0.0001431043
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.0232684661 0.0871270271 -0.0173514905 -0.0453053466 -0.0615087519
    > 5 -0.1876624140 -0.1072915448 0.1086954968 0.3284277562 0.0449074842
    > 10 0.0005193529 0.0002695627 -0.0001024627 -0.0004071313 -0.0001952407
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0069782753 -0.0251646531
    > 5 -0.2420002118 0.1382809232
    > 10 -0.0001539053 -0.0005932655
    3050,3056c3045,3051
    < 1 -0.0018976595 0.1706676 0.003222529 -0.007611474 -0.01922027 -0.015126608
    < 5 0.0669899034 0.3353120 -0.024244383 -0.023043764 -0.06623061 -0.137910505
    < 10 0.0001048119 0.2634495 0.006039631 -0.002325959 0.08898879 0.002116951
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.007305049 -0.11858593 0.008326058 -0.0014498166 -0.2776559 0.002860497
    < 5 -0.091437246 0.08283591 0.178884983 -0.0370297126 -0.1484980 0.087180477
    < 10 0.000340086 -0.10893447 -0.001590868 -0.0001548611 -0.2017918 -0.005231592
    ---
    > 1 -0.001897659 0.1706676 0.003222529 -0.007611475 -0.01922027 -0.015126608
    > 5 0.066989903 0.3353120 -0.024244383 -0.023043764 -0.06623061 -0.137910505
    > 10 0.000104812 0.2634495 0.006039631 -0.002325959 0.08898879 0.002116951
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.007315706 -0.1185118 0.008347515 -1.435210e-03 -0.2778544 0.003016481
    > 5 -0.091084366 0.0828829 0.178618168 -3.680357e-02 -0.1481576 0.087378268
    > 10 0.000493143 -0.1089146 -0.001379843 5.835166e-05 -0.2017364 -0.005051618
    3062,3063c3057,3058
    < 5 -0.1865386542 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
    < 10 0.0002842755 0.006039631 0.1376916 -0.003939484 -0.003951327 0.06569682
    ---
    > 5 -0.1865386538 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
    > 10 0.0002842754 0.006039631 0.1376916 -0.003939484 -0.003951327 0.06569682
    3065,3067c3060,3062
    < 1 0.018163058 0.009363576 -0.11258162 -0.0056644662 0.003016901 -0.2102409
    < 5 0.029859665 0.026161887 -0.30233907 -0.0222752809 0.180537117 -0.2773999
    < 10 0.001123715 0.002298188 -0.06430114 -0.0005787055 -0.001452292 -0.1052176
    ---
    > 1 0.018159097 0.009080067 -0.11249454 -0.00567175 0.002926144 -0.2101706
    > 5 0.030100238 0.026173001 -0.30172442 -0.02254217 0.180444020 -0.2772860
    > 10 0.001191273 0.002304536 -0.06426513 -0.00043647 -0.001457520 -0.1051227
    3072,3073c3067,3068
    < 1 -0.0898724971 -0.007611474 -0.024097591 0.10986178 -0.02228280 -0.02627183
    < 5 -0.2400866050 -0.023043764 0.095206563 0.23267476 -0.05216925 0.06279417
    ---
    > 1 -0.0898724972 -0.007611475 -0.024097591 0.10986178 -0.02228280 -0.02627183
    > 5 -0.2400866050 -0.023043764 0.095206563 0.23267476 -0.05216925 0.06279416
    3076,3078c3071,3073
    < 1 -0.058179549 0.013134169 0.019147256 0.030291362 0.017179928 0.044862936
    < 5 -0.011435953 -0.018460870 -0.216260543 -0.156719353 0.111488447 -0.041148114
    < 10 -0.002788209 0.002000751 0.005142881 0.001911291 0.003357581 0.007928101
    ---
    > 1 -0.058175429 0.013057235 0.019150077 0.030288171 0.01725109 0.044888881
    > 5 -0.011462620 -0.018698589 -0.216184097 -0.156831775 0.11131507 -0.041557175
    > 10 -0.002824503 0.002001756 0.005117699 0.001971316 0.00336347 0.008002528
    3083,3085c3078,3080
    < 1 0.0111026043 -0.01922027 -0.014252445 -0.02228280 0.1473312 -0.0080961714
    < 5 0.0134390760 -0.06623061 -0.060415748 -0.05216925 0.1886225 -0.0004257872
    < 10 0.0001431042 0.08898879 -0.003951327 -0.00361963 0.1238768 0.0082323869
    ---
    > 1 0.0111026042 -0.01922027 -0.014252445 -0.02228280 0.1473312 -0.0080961714
    > 5 0.0134390757 -0.06623061 -0.060415748 -0.05216925 0.1886225 -0.0004257871
    > 10 0.0001431043 0.08898879 -0.003951327 -0.00361963 0.1238768 0.0082323867
    3087,3093c3082,3088
    < 1 0.0058140628 0.02949830 0.0422260636 -0.003319491 0.0009543671
    < 5 0.0273894161 -0.08514916 0.0836840454 0.041852955 -0.1131972606
    < 10 0.0004953686 -0.06786146 -0.0002171497 -0.000286752 -0.1243880723
    < d_y3_d_x4
    < 1 0.04408361
    < 5 0.10280358
    < 10 -0.00270248
    ---
    > 1 0.0058099279 0.02936803 4.221189e-02 -0.0033222126 0.0008094348
    > 5 0.0272786323 -0.08515210 8.360613e-02 0.0417908511 -0.1134354294
    > 10 0.0005950015 -0.06785055 -8.549624e-05 -0.0001680563 -0.1243549737
    > d_y3_d_x4
    > 1 0.044052368
    > 5 0.102497491
    > 10 -0.002606281
    3099,3100c3094,3095
    < 5 -0.1876624140 -0.137910505 0.12725063 0.06279417 -0.0004257872 0.4303697
    < 10 0.0005193529 0.002116951 0.06569682 -0.01075533 0.0082323869 0.1622181
    ---
    > 5 -0.1876624140 -0.137910505 0.12725063 0.06279416 -0.0004257871 0.4303697
    > 10 0.0005193529 0.002116951 0.06569682 -0.01075533 0.0082323867 0.1622181
    3102,3104c3097,3099
    < 1 0.001137298 0.043253472 -0.04572322 -0.004974583 0.040296388 -0.08971663
    < 5 0.024501812 -0.016294090 -0.34011612 -0.099403325 0.252717663 -0.15379709
    < 10 0.001860797 -0.001625838 -0.07126846 -0.001334867 -0.006207211 -0.11693769
    ---
    > 1 0.001140717 0.043384486 -0.04574026 -0.004963502 0.040292742 -0.08977236
    > 5 0.024521697 -0.016429303 -0.33968675 -0.099438861 0.252703411 -0.15394458
    > 10 0.001952299 -0.001624032 -0.07120353 -0.001192549 -0.006214361 -0.11685097
    3109,3111c3104,3106
    < 1 0.0871290977 0.007305049 0.018163058 -0.058179549 0.0058140628 0.001137298
    < 5 -0.1074145476 -0.091437246 0.029859665 -0.011435953 0.0273894161 0.024501812
    < 10 0.0002662252 0.000340086 0.001123715 -0.002788209 0.0004953686 0.001860797
    ---
    > 1 0.0871270271 0.007315706 0.018159097 -0.058175429 0.0058099279 0.001140717
    > 5 -0.1072915448 -0.091084366 0.030100238 -0.011462620 0.0272786323 0.024521697
    > 10 0.0002695627 0.000493143 0.001191273 -0.002824503 0.0005950015 0.001952299
    3113,3119c3108,3114
    < 1 0.0521894026 -0.0153685109 -0.025643191 -0.0294383921 -0.0148235754
    < 5 0.3513500142 -0.1657620870 -0.117523028 0.2398832879 0.1158357073
    < 10 0.0009906673 -0.0004001085 -0.001639983 -0.0006803364 -0.0005226474
    < d_y3_d_x4
    < 1 -0.033753890
    < 5 -0.100643314
    < 10 -0.002313793
    ---
    > 1 0.052186445 -0.0151297513 -0.025646749 -0.029437198 -0.0148938303
    > 5 0.351382199 -0.1650663379 -0.117904178 0.239711594 0.1159836760
    > 10 0.001018486 -0.0004678488 -0.001726268 -0.000711753 -0.0006902437
    > d_y3_d_x4
    > 1 -0.033773829
    > 5 -0.101137100
    > 10 -0.002552456
    3124,3130c3119,3125
    < 1 -0.0177399676 -0.11858593 0.009363576 0.013134169 0.02949830 0.043253472
    < 5 0.1085141114 0.08283591 0.026161887 -0.018460870 -0.08514916 -0.016294090
    < 10 -0.0001022926 -0.10893447 0.002298188 0.002000751 -0.06786146 -0.001625838
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0153685109 0.18708466 -0.033064407 0.006300698 0.240449474 -0.039634609
    < 5 -0.1657620870 0.33833702 0.037222067 -0.101515022 0.008338695 -0.076109180
    < 10 -0.0004001085 0.08991047 0.001544213 0.000161025 0.156756405 0.004055025
    ---
    > 1 -0.0173514905 -0.1185118 0.009080067 0.013057235 0.02936803 0.043384486
    > 5 0.1086954968 0.0828829 0.026173001 -0.018698589 -0.08515210 -0.016429303
    > 10 -0.0001024627 -0.1089146 0.002304536 0.002001756 -0.06785055 -0.001624032
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0151297513 0.18665206 -0.032581347 6.162623e-03 0.240208643 -0.039119566
    > 5 -0.1650663379 0.33797782 0.037191700 -1.011780e-01 0.008438294 -0.075392389
    > 10 -0.0004678488 0.08985383 0.001419168 -6.380649e-07 0.156662659 0.003899246
    3135,3137c3130,3132
    < 1 -0.0452749762 0.008326058 -0.11258162 0.019147256 0.0422260636
    < 5 0.3282948982 0.178884983 -0.30233907 -0.216260543 0.0836840454
    < 10 -0.0004098147 -0.001590868 -0.06430114 0.005142881 -0.0002171497
    ---
    > 1 -0.0453053466 0.008347515 -0.11249454 0.019150077 4.221189e-02
    > 5 0.3284277562 0.178618168 -0.30172442 -0.216184097 8.360613e-02
    > 10 -0.0004071313 -0.001379843 -0.06426513 0.005117699 -8.549624e-05
    3139,3145c3134,3140
    < 1 -0.04572322 -0.025643191 -0.033064407 0.22244068 0.0145491010 -0.033554080
    < 5 -0.34011612 -0.117523028 0.037222067 0.70570062 0.1423288295 -0.391848569
    < 10 -0.07126846 -0.001639983 0.001544213 0.07757025 0.0009269843 0.005326792
    < d_y3_d_x4
    < 1 0.2726033
    < 5 0.3434701
    < 10 0.1181769
    ---
    > 1 -0.04574026 -0.025646749 -0.032581347 0.22216933 0.0145684749 -0.03324667
    > 5 -0.33968675 -0.117904178 0.037191700 0.70442886 0.1420128834 -0.39168643
    > 10 -0.07120353 -0.001726268 0.001419168 0.07750353 0.0007830003 0.00510837
    > d_y3_d_x4
    > 1 0.2724130
    > 5 0.3431578
    > 10 0.1180128
    3150,3160c3145,3155
    < 1 -0.0615096107 -0.0014498166 -0.0056644662 0.030291362 -0.003319491
    < 5 0.0447948558 -0.0370297126 -0.0222752809 -0.156719353 0.041852955
    < 10 -0.0001890735 -0.0001548611 -0.0005787055 0.001911291 -0.000286752
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.004974583 -0.0294383921 0.006300698 0.0145491010 0.0216791318
    < 5 -0.099403325 0.2398832879 -0.101515022 0.1423288295 0.5351355080
    < 10 -0.001334867 -0.0006803364 0.000161025 0.0009269843 0.0005311534
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0022469401 0.009029162
    < 5 -0.0095536318 -0.143675446
    < 10 0.0002302148 0.001021854
    ---
    > 1 -0.0615087519 -1.435210e-03 -0.00567175 0.030288171 -0.0033222126
    > 5 0.0449074842 -3.680357e-02 -0.02254217 -0.156831775 0.0417908511
    > 10 -0.0001952407 5.835166e-05 -0.00043647 0.001971316 -0.0001680563
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.004963502 -0.029437198 6.162623e-03 0.0145684749 0.0216792771
    > 5 -0.099438861 0.239711594 -1.011780e-01 0.1420128834 0.5353957063
    > 10 -0.001192549 -0.000711753 -6.380649e-07 0.0007830003 0.0005646205
    > d_y2_d_x4 d_y3_d_x4
    > 1 2.274581e-03 0.0090677567
    > 5 -9.154354e-03 -0.1430645150
    > 10 -6.782968e-05 0.0008214205
    3165,3171c3160,3166
    < 1 -0.0068204289 -0.2776559 0.003016901 0.017179928 0.0009543671 0.040296388
    < 5 -0.2422418545 -0.1484980 0.180537117 0.111488447 -0.1131972606 0.252717663
    < 10 -0.0001533034 -0.2017918 -0.001452292 0.003357581 -0.1243880723 -0.006207211
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0148235754 0.240449474 -0.033554080 0.0022469401 0.6044272 -0.02044526
    < 5 0.1158357073 0.008338695 -0.391848569 -0.0095536318 0.5642249 -0.26202679
    < 10 -0.0005226474 0.156756405 0.005326792 0.0002302148 0.3033983 0.01131299
    ---
    > 1 -0.0069782753 -0.2778544 0.002926144 0.01725109 0.0008094348 0.040292742
    > 5 -0.2420002118 -0.1481576 0.180444020 0.11131507 -0.1134354294 0.252703411
    > 10 -0.0001539053 -0.2017364 -0.001457520 0.00336347 -0.1243549737 -0.006214361
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0148938303 0.240208643 -0.03324667 2.274581e-03 0.6053376 -0.02029626
    > 5 0.1159836760 0.008438294 -0.39168643 -9.154354e-03 0.5647923 -0.26212238
    > 10 -0.0006902437 0.156662659 0.00510837 -6.782968e-05 0.3032282 0.01105439
    3176,3182c3171,3177
    < 1 -0.0250869153 0.002860497 -0.2102409 0.044862936 0.04408361 -0.08971663
    < 5 0.1374495372 0.087180477 -0.2773999 -0.041148114 0.10280358 -0.15379709
    < 10 -0.0005859012 -0.005231592 -0.1052176 0.007928101 -0.00270248 -0.11693769
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.033753890 -0.039634609 0.2726033 0.009029162 -0.02044526 0.5220365
    < 5 -0.100643314 -0.076109180 0.3434701 -0.143675446 -0.26202679 0.4793612
    < 10 -0.002313793 0.004055025 0.1181769 0.001021854 0.01131299 0.2114558
    ---
    > 1 -0.0251646531 0.003016481 -0.2101706 0.044888881 0.044052368 -0.08977236
    > 5 0.1382809232 0.087378268 -0.2772860 -0.041557175 0.102497491 -0.15394458
    > 10 -0.0005932655 -0.005051618 -0.1051227 0.008002528 -0.002606281 -0.11685097
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.033773829 -0.039119566 0.2724130 0.0090677567 -0.02029626 0.5218449
    > 5 -0.101137100 -0.075392389 0.3431578 -0.1430645150 -0.26212238 0.4782605
    > 10 -0.002552456 0.003899246 0.1180128 0.0008214205 0.01105439 0.2112263
    3186,3187c3181,3182
    < d_y1_d_x1 0.267111405 -0.001897659 0.001238153 -0.089872497 0.0111026043
    < d_y2_d_x1 -0.001897659 0.170667630 0.003222529 -0.007611474 -0.0192202676
    ---
    > d_y1_d_x1 0.267111405 -0.001897659 0.001238153 -0.089872497 0.0111026042
    > d_y2_d_x1 -0.001897659 0.170667630 0.003222529 -0.007611475 -0.0192202679
    3189c3184
    < d_y1_d_x2 -0.089872497 -0.007611474 -0.024097591 0.109861780 -0.0222828045
    ---
    > d_y1_d_x2 -0.089872497 -0.007611475 -0.024097591 0.109861780 -0.0222828044
    3192,3223c3187,3218
    < d_y1_d_x3 0.087129098 0.007305049 0.018163058 -0.058179549 0.0058140628
    < d_y2_d_x3 -0.017739968 -0.118585928 0.009363576 0.013134169 0.0294983027
    < d_y3_d_x3 -0.045274976 0.008326058 -0.112581620 0.019147256 0.0422260636
    < d_y1_d_x4 -0.061509611 -0.001449817 -0.005664466 0.030291362 -0.0033194912
    < d_y2_d_x4 -0.006820429 -0.277655856 0.003016901 0.017179928 0.0009543671
    < d_y3_d_x4 -0.025086915 0.002860497 -0.210240939 0.044862936 0.0440836116
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 0.023268466 0.087129098 -0.017739968 -0.045274976 -0.061509611
    < d_y2_d_x1 -0.015126608 0.007305049 -0.118585928 0.008326058 -0.001449817
    < d_y3_d_x1 0.022811267 0.018163058 0.009363576 -0.112581620 -0.005664466
    < d_y1_d_x2 -0.026271829 -0.058179549 0.013134169 0.019147256 0.030291362
    < d_y2_d_x2 -0.008096171 0.005814063 0.029498303 0.042226064 -0.003319491
    < d_y3_d_x2 0.170605098 0.001137298 0.043253472 -0.045723221 -0.004974583
    < d_y1_d_x3 0.001137298 0.052189403 -0.015368511 -0.025643191 -0.029438392
    < d_y2_d_x3 0.043253472 -0.015368511 0.187084657 -0.033064407 0.006300698
    < d_y3_d_x3 -0.045723221 -0.025643191 -0.033064407 0.222440678 0.014549101
    < d_y1_d_x4 -0.004974583 -0.029438392 0.006300698 0.014549101 0.021679132
    < d_y2_d_x4 0.040296388 -0.014823575 0.240449474 -0.033554080 0.002246940
    < d_y3_d_x4 -0.089716631 -0.033753890 -0.039634609 0.272603322 0.009029162
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.0068204289 -0.025086915
    < d_y2_d_x1 -0.2776558560 0.002860497
    < d_y3_d_x1 0.0030169012 -0.210240939
    < d_y1_d_x2 0.0171799282 0.044862936
    < d_y2_d_x2 0.0009543671 0.044083612
    < d_y3_d_x2 0.0402963879 -0.089716631
    < d_y1_d_x3 -0.0148235754 -0.033753890
    < d_y2_d_x3 0.2404494741 -0.039634609
    < d_y3_d_x3 -0.0335540805 0.272603322
    < d_y1_d_x4 0.0022469401 0.009029162
    < d_y2_d_x4 0.6044272427 -0.020445263
    < d_y3_d_x4 -0.0204452633 0.522036472
    ---
    > d_y1_d_x3 0.087127027 0.007315706 0.018159097 -0.058175429 0.0058099279
    > d_y2_d_x3 -0.017351490 -0.118511805 0.009080067 0.013057235 0.0293680342
    > d_y3_d_x3 -0.045305347 0.008347515 -0.112494538 0.019150077 0.0422118898
    > d_y1_d_x4 -0.061508752 -0.001435210 -0.005671750 0.030288171 -0.0033222126
    > d_y2_d_x4 -0.006978275 -0.277854366 0.002926144 0.017251086 0.0008094348
    > d_y3_d_x4 -0.025164653 0.003016481 -0.210170649 0.044888881 0.0440523685
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 0.023268466 0.087127027 -0.017351490 -0.045305347 -0.061508752
    > d_y2_d_x1 -0.015126608 0.007315706 -0.118511805 0.008347515 -0.001435210
    > d_y3_d_x1 0.022811267 0.018159097 0.009080067 -0.112494538 -0.005671750
    > d_y1_d_x2 -0.026271829 -0.058175429 0.013057235 0.019150077 0.030288171
    > d_y2_d_x2 -0.008096171 0.005809928 0.029368034 0.042211890 -0.003322213
    > d_y3_d_x2 0.170605098 0.001140717 0.043384486 -0.045740261 -0.004963502
    > d_y1_d_x3 0.001140717 0.052186445 -0.015129751 -0.025646749 -0.029437198
    > d_y2_d_x3 0.043384486 -0.015129751 0.186652060 -0.032581347 0.006162623
    > d_y3_d_x3 -0.045740261 -0.025646749 -0.032581347 0.222169334 0.014568475
    > d_y1_d_x4 -0.004963502 -0.029437198 0.006162623 0.014568475 0.021679277
    > d_y2_d_x4 0.040292742 -0.014893830 0.240208643 -0.033246673 0.002274581
    > d_y3_d_x4 -0.089772356 -0.033773829 -0.039119566 0.272412971 0.009067757
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.0069782753 -0.025164653
    > d_y2_d_x1 -0.2778543662 0.003016481
    > d_y3_d_x1 0.0029261437 -0.210170649
    > d_y1_d_x2 0.0172510865 0.044888881
    > d_y2_d_x2 0.0008094348 0.044052368
    > d_y3_d_x2 0.0402927423 -0.089772356
    > d_y1_d_x3 -0.0148938303 -0.033773829
    > d_y2_d_x3 0.2402086433 -0.039119566
    > d_y3_d_x3 -0.0332466734 0.272412971
    > d_y1_d_x4 0.0022745814 0.009067757
    > d_y2_d_x4 0.6053376120 -0.020296258
    > d_y3_d_x4 -0.0202962576 0.521844880
    3228c3223
    < 1 0.237119196 -0.0042905707 -0.004537520 -0.16362764 0.021246739 0.05309042
    ---
    > 1 0.237119196 -0.0042905705 -0.004537520 -0.16362764 0.021246739 0.05309042
    3231,3234c3226,3233
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.11546354 -0.017597035 -0.04924117 -0.08098938 4.929390e-03 0.003941292
    < 5 0.04649614 0.020150548 0.09161560 -0.02611245 -4.054534e-02 0.032862602
    < 10 -0.01887379 0.001376677 0.00885958 0.01438849 -8.881784e-05 -0.001154632
    ---
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.11544880 -0.016286972 -0.049332760 -0.08098175 4.840572e-03
    > 5 0.04682366 0.021016522 0.092581498 -0.02604583 -4.027889e-02
    > 10 -0.01938449 0.001389167 0.008526513 0.01518785 -3.885781e-05
    > d_y3_d_x4
    > 1 0.0037525538
    > 5 0.0331734640
    > 10 -0.0007105427
    3241c3240
    < 10 3.416534e-05 -6.254719e-06 -8.454515e-05 0.0000000 0.000000000 0.00000000
    ---
    > 10 3.416556e-05 -6.254719e-06 -8.454504e-05 0.0000000 0.000000000 0.00000000
    3243,3245c3242,3244
    < 1 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000
    < 5 0.04634071 0.02061684 0.09177104 -0.02602363 -0.0408118 0.03277378
    < 10 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000
    ---
    > 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > 5 0.04666822 0.02086109 0.09242607 -0.02595701 -0.04019007 0.03326228
    > 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    3250,3256c3249,3255
    < 1 0.2371192 -0.004290571 -0.00453752 0.03892668 -0.004881742 -0.01711139
    < 5 0.0000000 0.000000000 0.00000000 0.24661116 -0.058139940 -0.14174766
    < 10 0.0000000 0.000000000 0.00000000 0.05122359 -0.004908095 -0.02281777
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.1154635 -0.01759703 -0.04924117 -0.08098938 0.00492939 0.003941292
    < 5 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
    < 10 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
    ---
    > 1 0.2371192 -0.00429057 -0.00453752 0.03892668 -0.004881742 -0.01711139
    > 5 0.0000000 0.00000000 0.00000000 0.24661116 -0.058139940 -0.14174766
    > 10 0.0000000 0.00000000 0.00000000 0.05122359 -0.004908095 -0.02281777
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.1154731 -0.01628697 -0.04937162 -0.08099563 0.004840572 0.003774758
    > 5 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
    > 10 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
    3261,3262c3260,3261
    < 1 -0.253201499 0.0045815732 0.004845272 0.1747255 -0.022687772 -0.05669121
    < 5 -0.174546122 -0.0081876610 0.026660415 0.1146775 -0.004182000 0.03151152
    ---
    > 1 -0.253201499 0.0045815729 0.004845272 0.1747255 -0.022687772 -0.05669121
    > 5 -0.174546122 -0.0081876608 0.026660414 0.1146775 -0.004182000 0.03151152
    3265,3267c3264,3266
    < 1 -0.08438371 0.013525756 0.035596448 0.08650580 -0.0041744386 -0.004107825
    < 5 0.40110687 -0.078708507 -0.150118695 0.01643130 0.0254907206 -0.020561330
    < 10 -0.01925572 0.001474481 0.009000073 0.01718625 -0.0000721645 -0.002131628
    ---
    > 1 -0.08437642 0.014336219 0.035596448 0.08650164 -3.774758e-03 -0.004019007
    > 5 0.40105691 -0.078108987 -0.149774526 0.01605382 2.540190e-02 -0.020961011
    > 10 -0.01912249 0.001521665 0.008955663 0.01736389 -1.665335e-05 -0.001598721
    3272,3274c3271,3273
    < 1 0.101122853 -0.0018297751 -0.0019350901 -0.06978133 0.009060974 0.02264117
    < 5 0.229431652 0.0107622472 -0.0350437056 -0.15073756 0.005497018 -0.04142023
    < 10 0.001805885 -0.0000887149 -0.0007676429 -0.01767021 0.001776293 0.00788169
    ---
    > 1 0.101122853 -1.829775e-03 -0.0019350901 -0.06978133 0.009060974 0.02264117
    > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018 -0.04142023
    > 10 0.001805885 -8.871495e-05 -0.0007676428 -0.01767021 0.001776293 0.00788169
    3276,3282c3275,3281
    < 1 0.049251575 -0.0072386541 -0.021177504 0.004379314 -0.0029277490
    < 5 0.038008485 0.0178967952 0.077160500 0.408389935 -0.0980485920
    < 10 0.006650236 -0.0005440093 -0.004063416 -0.000592868 -0.0002394261
    < d_y3_d_x4
    < 1 -0.015490465
    < 5 -0.064775851
    < 10 -0.001658069
    ---
    > 1 0.049267708 -0.0072386541 -0.021049829 0.0043827839 -0.0029277489
    > 5 0.037997383 0.0179078974 0.077016171 0.4085231613 -0.0980041830
    > 10 0.006949996 -0.0005273559 -0.003608225 -0.0008149126 -0.0002172217
    > d_y3_d_x4
    > 1 -0.015335034
    > 5 -0.063576810
    > 10 -0.001968931
    3288,3289c3287,3288
    < 5 -0.0468176067 0.0601708 0.02411970 0.01982570 -0.11310591 0.01951730
    < 10 0.0001492365 0.2197046 0.01077585 -0.00348749 0.13273560 0.01049971
    ---
    > 5 -0.0468176067 0.0601708 0.02411969 0.01982570 -0.11310591 0.01951730
    > 10 0.0001492367 0.2197046 0.01077585 -0.00348749 0.13273560 0.01049971
    3291,3293c3290,3292
    < 1 -0.013787756 0.24437119 0.02653155 0.0034687531 0.31739056 0.02636780
    < 5 0.020222712 0.05337952 -0.03731460 0.0320410365 0.06252776 -0.03699263
    < 10 0.001032507 -0.22647717 -0.01032507 -0.0001332268 -0.30221381 -0.01216804
    ---
    > 1 -0.0138023273 0.24398261 0.02654821 0.0034493242 0.31725733 0.02616796
    > 5 0.0206390460 0.05356826 -0.03760325 0.0322852856 0.06363798 -0.03708145
    > 10 0.0008881784 -0.22631341 -0.01020295 0.0003552714 -0.30195846 -0.01167955
    3300c3299
    < 10 -2.590372e-06 0.3469243 0.014366785 0.0000000 0.0000000 0.0000000
    ---
    > 10 -2.590150e-06 0.3469243 0.014366785 0.0000000 0.0000000 0.0000000
    3302,3304c3301,3303
    < 1 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.00000000
    < 5 0.02008949 0.05351275 -0.0373146 0.0318634 0.0627054 -0.03699263
    < 10 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.00000000
    ---
    > 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > 5 0.02082223 0.05372369 -0.03748113 0.03248513 0.06354917 -0.03694822
    > 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    3313,3315c3312,3314
    < 1 -0.01378776 0.2443712 0.02653155 0.003468753 0.3173906 0.0263678
    < 5 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.0000000
    < 10 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.0000000
    ---
    > 1 -0.01380233 0.2439826 0.02654821 0.003449324 0.3172573 0.02616796
    > 5 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.00000000
    > 10 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.00000000
    3321c3320
    < 5 0.0292628427 -0.03760911 -0.01507576 -0.012391838 0.07069564 -0.01219908
    ---
    > 5 0.0292628426 -0.03760911 -0.01507576 -0.012391838 0.07069564 -0.01219908
    3324,3326c3323,3325
    < 1 0.011232542 0.06788194 -0.01381498 -0.0037039816 -0.33892888 -0.02806644
    < 5 -0.074705254 0.37237153 0.05801460 -0.0198951966 -0.03885781 0.02273737
    < 10 0.000192342 -0.15654633 -0.01002040 -0.0003996803 -0.37869152 -0.01536549
    ---
    > 1 0.0112602974 0.06748226 -0.013584606 -3.665124e-03 -0.33981706 -0.02776668
    > 5 -0.0745276181 0.37223831 0.057614917 -1.989520e-02 -0.03903544 0.02291500
    > 10 0.0008473737 -0.15659907 -0.009309854 8.881784e-05 -0.37872483 -0.01501022
    3333c3332
    < 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326888 -0.05050205 -0.003994835
    ---
    > 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326889 -0.05050205 -0.003994835
    3335,3337c3334,3336
    < 1 -0.0058985802 0.10461632 0.011260437 -2.030807e-03 0.4643204 0.025697861
    < 5 0.0168975944 0.04392042 -0.030864200 -3.549218e-02 0.4571371 0.003658077
    < 10 -0.0002997602 0.08608947 0.003674838 7.021744e-05 0.2421167 0.008342692
    ---
    > 1 -5.891121e-03 0.10417223 0.011429746 -0.0020287253 0.4646756 0.025842189
    > 5 1.678657e-02 0.04400924 -0.031175063 -0.0350480873 0.4574923 0.003835713
    > 10 -2.220446e-05 0.08605894 0.004107825 0.0001146264 0.2420390 0.008298283
    3342,3343c3341,3342
    < 1 -0.0232567723 -0.011015572 -0.1591526 0.04568840 -0.015580858 -0.12588268
    < 5 -0.0739470341 -0.007314459 0.2213006 0.06229383 -0.013690362 0.05968877
    ---
    > 1 -0.0232567722 -0.011015572 -0.1591526 0.04568840 -0.015580858 -0.12588268
    > 5 -0.0739470342 -0.007314459 0.2213006 0.06229383 -0.013690362 0.05968877
    3346,3348c3345,3347
    < 1 -0.028626927 0.024968916 0.2426337 0.011713547 0.02455813 0.2856604
    < 5 -0.035238479 0.003963496 -0.1477818 -0.033484326 0.03184120 -0.2557510
    < 10 0.003963496 -0.010075274 -0.2164158 -0.001909584 -0.01214584 -0.2393197
    ---
    > 1 -0.028605590 0.025801583 0.2423811 0.01173783 0.02504663 0.2854494
    > 5 -0.035038639 0.003830269 -0.1468270 -0.03392842 0.03166356 -0.2554845
    > 10 0.004118927 -0.010071111 -0.2165268 -0.00164313 -0.01217360 -0.2394085
    3353c3352
    < 1 -3.172708e-02 0.003760222 0.1006422 0.00000000 0.00000000 0.00000000
    ---
    > 1 -3.172708e-02 0.003760221 0.1006422 0.00000000 0.00000000 0.00000000
    3355c3354
    < 10 -4.433121e-06 0.014931963 0.2725413 0.00000000 0.00000000 0.00000000
    ---
    > 10 -4.433343e-06 0.014931963 0.2725413 0.00000000 0.00000000 0.00000000
    3357,3359c3356,3358
    < 1 0.00000000 0.000000000 0.0000000 0.00000000 0.0000000 0.0000000
    < 5 -0.03529954 0.003963496 -0.1479372 -0.03355094 0.0318412 -0.2556622
    < 10 0.00000000 0.000000000 0.0000000 0.00000000 0.0000000 0.0000000
    ---
    > 1 0.00000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
    > 5 -0.03503864 0.003830269 -0.146827 -0.03392842 0.03166356 -0.2554845
    > 10 0.00000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
    3366c3365
    < 10 0.00000000 0.00000000 0.0000000 -0.011769192 0.01311946 0.2955153
    ---
    > 10 0.00000000 0.00000000 0.0000000 -0.011769193 0.01311946 0.2955153
    3368,3370c3367,3369
    < 1 -0.0286238 0.02465805 0.2426337 0.01170383 0.02473577 0.2856604
    < 5 0.0000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
    < 10 0.0000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
    ---
    > 1 -0.02860559 0.02580158 0.2423811 0.01173783 0.02504663 0.2854494
    > 5 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
    > 10 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
    3376,3377c3375,3376
    < 5 0.046219800 0.004571824 -0.1383216 -0.03893609 0.008557014 -0.03730783
    < 10 0.001026688 0.014377230 0.1644973 -0.01372414 0.012104684 0.19330245
    ---
    > 5 0.046219800 0.004571824 -0.1383216 -0.03893609 0.008557013 -0.03730783
    > 10 0.001026687 0.014377230 0.1644973 -0.01372414 0.012104684 0.19330245
    3379,3381c3378,3380
    < 1 0.022102636 -0.011192323 0.0008547584 -0.012528173 -0.02571277 -0.3048783
    < 5 -0.102096384 0.045943934 0.4573611985 0.020783375 -0.02042810 0.1603606
    < 10 0.003062496 -0.009170551 -0.1310937438 -0.002220446 -0.01528222 -0.3003375
    ---
    > 1 0.022109401 -0.011103506 0.0008464317 -0.012528867 -0.02535749 -0.3048228
    > 5 -0.102906847 0.045699685 0.4576054475 0.020916602 -0.02069456 0.1606271
    > 10 0.003317847 -0.009184429 -0.1307384724 -0.001909584 -0.01529332 -0.2999823
    3386,3392c3385,3391
    < 1 -0.0099181812 -0.004697747 -0.06787290 0.019484466 -0.006644679 -0.05368446
    < 5 -0.0607534844 -0.006009421 0.18181638 0.051179428 -0.011247743 0.04903917
    < 10 -0.0003115489 -0.004362780 -0.04991682 0.004164601 -0.003673175 -0.05865776
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.012222515 0.010225154 0.10332291 -0.0034812393 0.024767800 0.3814975
    < 5 -0.029271030 0.003164136 -0.12057022 -0.1524338957 0.075076186 0.1556137
    < 10 -0.001598721 0.003891332 0.08185674 -0.0004680132 0.008150316 0.2321601
    ---
    > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
    > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
    > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
    > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
    > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
    3397,3407c3396,3406
    < 1 0.0119593147 -0.0174661634 2.470719e-03 -0.1075036372 0.060236172
    < 5 -0.2627469942 -0.3102622052 5.436432e-02 0.0008249928 0.141162941
    < 10 0.0002986814 -0.0001412116 5.869194e-06 -0.0079378153 0.006272141
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.057426766 0.044672946 -0.029198866 -3.142764e-02 -2.457756e-03
    < 5 0.165725303 0.360367292 -0.354105634 -2.029044e-01 3.655298e-01
    < 10 0.005869357 0.002053913 -0.001038059 4.440892e-05 4.440892e-05
    < d_y2_d_x4 d_y3_d_x4
    < 1 7.194245e-03 -0.0081157303
    < 5 2.863931e-01 -0.1056932319
    < 10 6.661338e-05 -0.0005329071
    ---
    > 1 0.0119593147 -0.0174661633 2.470719e-03 -0.1075036372 0.060236172
    > 5 -0.2627469940 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
    > 10 0.0002986817 -0.0001412116 5.869527e-06 -0.0079378150 0.006272141
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.057426766 0.044659935 -0.029354297 -0.031555314 -0.0024487357 7.283063e-03
    > 5 0.165725303 0.360245167 -0.353705953 -0.202970973 0.3657518732 2.865708e-01
    > 10 0.005869358 0.001720846 -0.001033895 -0.000577316 0.0004884981 3.885781e-05
    > d_y3_d_x4
    > 1 -0.0082711615
    > 5 -0.1066702282
    > 10 -0.0001776357
    3413c3412
    < 5 -0.13515076 -0.1522331797 -0.008299913 0.21839363 -0.004554075 0.33427476
    ---
    > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
    3416,3418c3415,3417
    < 1 -0.10554734 0.011690648 -0.08223422 0.023809427 0.0023536728 0.030420111
    < 5 -0.17428281 -0.033362202 -0.40429882 -0.447553106 0.1727951116 0.091660013
    < 10 -0.01364464 0.000928424 -0.01226796 0.004396483 0.0002498002 0.004574119
    ---
    > 1 -0.10554595 0.0111022302 -0.08223699 0.023814978 0.0021316282 0.030409009
    > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937 0.091260333
    > 10 -0.01385558 0.0008895662 -0.01219025 0.004973799 0.0002720046 0.005240253
    3423,3429c3422,3428
    < 1 -4.065697e-04 0.1000440 -0.1147518 0.0134169502 0.14424394 -0.20173175
    < 5 1.095618e-01 0.1914696 -0.2351233 -0.0474577989 0.19609338 -0.26047393
    < 10 -5.019285e-05 0.1066395 -0.1269163 0.0005696239 0.08873839 -0.08386716
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0050591475 -0.22088997 0.27925162 -0.0002026157 -0.26432190 0.34091618
    < 5 -0.0634270414 -0.23671065 0.42570392 -0.0565325564 -0.46083137 0.51869620
    < 10 -0.0004551914 -0.08058137 0.07938095 0.0003108624 -0.09792722 0.09796608
    ---
    > 1 -4.065696e-04 0.1000440 -0.1147518 0.0134169502 0.14424394 -0.20173175
    > 5 1.095618e-01 0.1914696 -0.2351233 -0.0474577987 0.19609338 -0.26047393
    > 10 -5.019252e-05 0.1066395 -0.1269163 0.0005696241 0.08873839 -0.08386716
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0050676477 -0.22102320 0.27909619 -0.0002144118 -0.26449953 0.34100500
    > 5 -0.0632993657 -0.23672175 0.42520432 -0.0563771252 -0.46087578 0.51776361
    > 10 -0.0002664535 -0.08062023 0.07956968 0.0000000000 -0.09790502 0.09765522
    3434c3433
    < d_y2_d_x1 -0.004290571 -0.009172312 -0.004290571 0.004581573 -0.001829775
    ---
    > d_y2_d_x1 -0.004290570 -0.009172312 -0.004290570 0.004581573 -0.001829775
    3439,3444c3438,3443
    < d_y1_d_x3 0.115463542 0.000000000 0.115463542 -0.084383710 0.049251575
    < d_y2_d_x3 -0.017597035 0.000000000 -0.017597035 0.013525756 -0.007238654
    < d_y3_d_x3 -0.049241167 0.000000000 -0.049241167 0.035596448 -0.021177504
    < d_y1_d_x4 -0.080989382 0.000000000 -0.080989382 0.086505803 0.004379314
    < d_y2_d_x4 0.004929390 0.000000000 0.004929390 -0.004174439 -0.002927749
    < d_y3_d_x4 0.003941292 0.000000000 0.003941292 -0.004107825 -0.015490465
    ---
    > d_y1_d_x3 0.115448796 0.000000000 0.115473082 -0.084376424 0.049267708
    > d_y2_d_x3 -0.016286972 0.000000000 -0.016286972 0.014336219 -0.007238654
    > d_y3_d_x3 -0.049332760 0.000000000 -0.049371618 0.035596448 -0.021049829
    > d_y1_d_x4 -0.080981749 0.000000000 -0.080995627 0.086501639 0.004382784
    > d_y2_d_x4 0.004840572 0.000000000 0.004840572 -0.003774758 -0.002927749
    > d_y3_d_x4 0.003752554 0.000000000 0.003774758 -0.004019007 -0.015335034
    3446,3447c3445,3446
    < d_y1_d_x1 -0.006704915 -0.010199134 -0.006704915 0.007159667 -0.002859406
    < d_y2_d_x1 -0.209306902 0.119344221 -0.209306902 0.223502872 -0.089261906
    ---
    > d_y1_d_x1 -0.006704915 -0.010199135 -0.006704915 0.007159667 -0.002859406
    > d_y2_d_x1 -0.209306903 0.119344221 -0.209306903 0.223502872 -0.089261905
    3451,3457c3450,3456
    < d_y3_d_x2 -0.019690254 0.000000000 0.014673346 0.021025719 -0.008397188
    < d_y1_d_x3 -0.013787756 0.000000000 -0.013787756 0.011232542 -0.005898580
    < d_y2_d_x3 0.244371190 0.000000000 0.244371190 0.067881939 0.104616316
    < d_y3_d_x3 0.026531555 0.000000000 0.026531555 -0.013814977 0.011260437
    < d_y1_d_x4 0.003468753 0.000000000 0.003468753 -0.003703982 -0.002030807
    < d_y2_d_x4 0.317390558 0.000000000 0.317390558 -0.338928885 0.464320377
    < d_y3_d_x4 0.026367797 0.000000000 0.026367797 -0.028066438 0.025697861
    ---
    > d_y3_d_x2 -0.019690253 0.000000000 0.014673346 0.021025719 -0.008397188
    > d_y1_d_x3 -0.013802327 0.000000000 -0.013802327 0.011260297 -0.005891121
    > d_y2_d_x3 0.243982612 0.000000000 0.243982612 0.067482259 0.104172226
    > d_y3_d_x3 0.026548208 0.000000000 0.026548208 -0.013584606 0.011429746
    > d_y1_d_x4 0.003449324 0.000000000 0.003449324 -0.003665124 -0.002028725
    > d_y2_d_x4 0.317257332 0.000000000 0.317257332 -0.339817063 0.464675648
    > d_y3_d_x4 0.026167957 0.000000000 0.026167957 -0.027766678 0.025842189
    3459,3461c3458,3460
    < d_y1_d_x1 -0.02325677 -0.031727076 -0.023256772 0.0248341328 -0.009918181
    < d_y2_d_x1 -0.01101557 0.003760222 -0.011015572 0.0117626886 -0.004697747
    < d_y3_d_x1 -0.15915262 0.100642233 -0.159152617 0.1699469373 -0.067872897
    ---
    > d_y1_d_x1 -0.02325677 -0.031727076 -0.023256772 0.0248341329 -0.009918181
    > d_y2_d_x1 -0.01101557 0.003760221 -0.011015572 0.0117626887 -0.004697747
    > d_y3_d_x1 -0.15915262 0.100642233 -0.159152617 0.1699469374 -0.067872897
    3463,3470c3462,3469
    < d_y2_d_x2 -0.01558086 0.000000000 0.014775793 0.0166376097 -0.006644679
    < d_y3_d_x2 -0.12588268 0.000000000 0.259794850 0.1344205125 -0.053684460
    < d_y1_d_x3 -0.02862693 0.000000000 -0.028623805 0.0221026360 -0.012222515
    < d_y2_d_x3 0.02496892 0.000000000 0.024658053 -0.0111923235 0.010225154
    < d_y3_d_x3 0.24263369 0.000000000 0.242633691 0.0008547584 0.103322906
    < d_y1_d_x4 0.01171355 0.000000000 0.011703832 -0.0125281729 -0.003481239
    < d_y2_d_x4 0.02455813 0.000000000 0.024735769 -0.0257127653 0.024767800
    < d_y3_d_x4 0.28566038 0.000000000 0.285660384 -0.3048783448 0.381497498
    ---
    > d_y2_d_x2 -0.01558086 0.000000000 0.014775793 0.0166376095 -0.006644679
    > d_y3_d_x2 -0.12588268 0.000000000 0.259794850 0.1344205127 -0.053684460
    > d_y1_d_x3 -0.02860559 0.000000000 -0.028605590 0.0221094014 -0.012217484
    > d_y2_d_x3 0.02580158 0.000000000 0.025801583 -0.0111035056 0.010580425
    > d_y3_d_x3 0.24238112 0.000000000 0.242381115 0.0008464317 0.103497766
    > d_y1_d_x4 0.01173783 0.000000000 0.011737833 -0.0125288668 -0.003483321
    > d_y2_d_x4 0.02504663 0.000000000 0.025046631 -0.0253574939 0.025478343
    > d_y3_d_x4 0.28544944 0.000000000 0.285449442 -0.3048228336 0.381575213
    3472,3473c3471,3472
    < d_y1_d_x1 0.011959315 -0.030367660 -0.0004065697
    < d_y2_d_x1 -0.017466163 -0.002862858 0.1000439962
    ---
    > d_y1_d_x1 0.011959315 -0.030367660 -0.0004065696
    > d_y2_d_x1 -0.017466163 -0.002862858 0.1000439964
    3476c3475
    < d_y2_d_x2 0.060236172 -0.014779641 0.1442439397
    ---
    > d_y2_d_x2 0.060236172 -0.014779641 0.1442439395
    3478,3483c3477,3482
    < d_y1_d_x3 0.044672946 -0.105547342 -0.0050591475
    < d_y2_d_x3 -0.029198866 0.011690648 -0.2208899730
    < d_y3_d_x3 -0.031427638 -0.082234219 0.2792516218
    < d_y1_d_x4 -0.002457756 0.023809427 -0.0002026157
    < d_y2_d_x4 0.007194245 0.002353673 -0.2643218977
    < d_y3_d_x4 -0.008115730 0.030420111 0.3409161842
    ---
    > d_y1_d_x3 0.044659935 -0.105545954 -0.0050676477
    > d_y2_d_x3 -0.029354297 0.011102230 -0.2210231997
    > d_y3_d_x3 -0.031555314 -0.082236995 0.2790961906
    > d_y1_d_x4 -0.002448736 0.023814978 -0.0002144118
    > d_y2_d_x4 0.007283063 0.002131628 -0.2644995334
    > d_y3_d_x4 -0.008271162 0.030409009 0.3410050020
    3492,3497c3491,3496
    < 1: d_y1_d_x3 0.049373 0.228450 0.216 0.829
    < 1: d_y2_d_x3 -0.384962 0.432533 -0.890 0.373
    < 1: d_y3_d_x3 0.244210 0.471636 0.518 0.605
    < 1: d_y1_d_x4 -0.035715 0.147238 -0.243 0.808
    < 1: d_y2_d_x4 -0.504205 0.777449 -0.649 0.517
    < 1: d_y3_d_x4 0.301966 0.722521 0.418 0.676
    ---
    > 1: d_y1_d_x3 0.049373 0.228444 0.216 0.829
    > 1: d_y2_d_x3 -0.384962 0.432032 -0.891 0.373
    > 1: d_y3_d_x3 0.244210 0.471348 0.518 0.604
    > 1: d_y1_d_x4 -0.035715 0.147239 -0.243 0.808
    > 1: d_y2_d_x4 -0.504205 0.778034 -0.648 0.517
    > 1: d_y3_d_x4 0.301966 0.722388 0.418 0.676
    3504,3509c3503,3508
    < 2: d_y1_d_x3 0.538961 0.592748 0.909 0.363
    < 2: d_y2_d_x3 -0.523912 0.581667 -0.901 0.368
    < 2: d_y3_d_x3 0.231992 0.840060 0.276 0.782
    < 2: d_y1_d_x4 -0.395069 0.731530 -0.540 0.589
    < 2: d_y2_d_x4 -0.538713 0.751149 -0.717 0.473
    < 2: d_y3_d_x4 0.455530 0.692359 0.658 0.511
    ---
    > 2: d_y1_d_x3 0.538961 0.592775 0.909 0.363
    > 2: d_y2_d_x3 -0.523912 0.581359 -0.901 0.367
    > 2: d_y3_d_x3 0.231992 0.839303 0.276 0.782
    > 2: d_y1_d_x4 -0.395069 0.731707 -0.540 0.589
    > 2: d_y2_d_x4 -0.538713 0.751527 -0.717 0.473
    > 2: d_y3_d_x4 0.455530 0.691564 0.659 0.510
    3516,3521c3515,3520
    < 3: d_y1_d_x3 0.005969 0.031475 0.190 0.850
    < 3: d_y2_d_x3 -0.149187 0.299851 -0.498 0.619
    < 3: d_y3_d_x3 0.148226 0.278514 0.532 0.595
    < 3: d_y1_d_x4 -0.004570 0.023047 -0.198 0.843
    < 3: d_y2_d_x4 -0.199202 0.550816 -0.362 0.718
    < 3: d_y3_d_x4 0.165549 0.459843 0.360 0.719
    ---
    > 3: d_y1_d_x3 0.005969 0.031914 0.187 0.852
    > 3: d_y2_d_x3 -0.149187 0.299756 -0.498 0.619
    > 3: d_y3_d_x3 0.148226 0.278395 0.532 0.594
    > 3: d_y1_d_x4 -0.004570 0.023762 -0.192 0.848
    > 3: d_y2_d_x4 -0.199202 0.550662 -0.362 0.718
    > 3: d_y3_d_x4 0.165549 0.459594 0.360 0.719
    3562,3575c3561,3574
    < 1 2.671114e-01 -0.0018976595 0.0012381527 -0.0898724971 0.0111026043
    < 5 4.804800e-01 0.0669899034 -0.1865386542 -0.2400866050 0.0134390760
    < 10 7.279534e-05 0.0001048119 0.0002842755 -0.0007541722 0.0001431042
    < mean 1.415407e-01 0.0064609911 -0.0348547378 -0.0573521650 0.0054981910
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.0232684661 0.0871290977 -0.0177399676 -0.0452749762 -0.0615096107
    < 5 -0.1876624140 -0.1074145476 0.1085141114 0.3282948982 0.0447948558
    < 10 0.0005193529 0.0002662252 -0.0001022926 -0.0004098147 -0.0001890735
    < mean -0.0317096952 -0.0021706952 0.0081606323 0.0471611132 -0.0012513516
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0068204289 -0.0250869153
    < 5 -0.2422418545 0.1374495372
    < 10 -0.0001533034 -0.0005859012
    < mean -0.0433591742 0.0118519205
    ---
    > 1 2.671114e-01 -0.001897659 0.0012381527 -0.0898724972 0.0111026042
    > 5 4.804800e-01 0.066989903 -0.1865386538 -0.2400866050 0.0134390757
    > 10 7.279534e-05 0.000104812 0.0002842754 -0.0007541722 0.0001431043
    > mean 1.415407e-01 0.006460991 -0.0348547378 -0.0573521650 0.0054981909
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.0232684661 0.0871270271 -0.0173514905 -0.0453053466 -0.0615087519
    > 5 -0.1876624140 -0.1072915448 0.1086954968 0.3284277562 0.0449074842
    > 10 0.0005193529 0.0002695627 -0.0001024627 -0.0004071313 -0.0001952407
    > mean -0.0317096952 -0.0021453299 0.0082663373 0.0472242051 -0.0012198391
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0069782753 -0.0251646531
    > 5 -0.2420002118 0.1382809232
    > 10 -0.0001539053 -0.0005932655
    > mean -0.0433438979 0.0119531378
    3579,3593c3578,3592
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
    < 1 -0.0018976595 0.1706676 0.003222529 -0.007611474 -0.019220268
    < 5 0.0669899034 0.3353120 -0.024244383 -0.023043764 -0.066230609
    < 10 0.0001048119 0.2634495 0.006039631 -0.002325959 0.088988794
    < mean 0.0064609911 0.1487773 -0.009259879 -0.003117154 -0.001428115
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.015126608 0.007305049 -0.118585928 0.008326058 -0.0014498166
    < 5 -0.137910505 -0.091437246 0.082835907 0.178884983 -0.0370297126
    < 10 0.002116951 0.000340086 -0.108934473 -0.001590868 -0.0001548611
    < mean -0.038992651 -0.014576494 0.001856717 0.048496965 -0.0053821720
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.2776559 0.002860497
    < 5 -0.1484980 0.087180477
    < 10 -0.2017918 -0.005231592
    < mean -0.1055868 0.033170120
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
    > 1 -0.001897659 0.1706676 0.003222529 -0.007611475 -0.019220268 -0.015126608
    > 5 0.066989903 0.3353120 -0.024244383 -0.023043764 -0.066230609 -0.137910505
    > 10 0.000104812 0.2634495 0.006039631 -0.002325959 0.088988794 0.002116951
    > mean 0.006460991 0.1487773 -0.009259879 -0.003117154 -0.001428115 -0.038992651
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.007315706 -0.118511805 0.008347515 -1.435210e-03 -0.2778544
    > 5 -0.091084366 0.082882900 0.178618168 -3.680357e-02 -0.1481576
    > 10 0.000493143 -0.108914604 -0.001379843 5.835166e-05 -0.2017364
    > mean -0.014430630 0.001858887 0.048502770 -5.339526e-03 -0.1055772
    > d_y3_d_x4
    > 1 0.003016481
    > 5 0.087378268
    > 10 -0.005051618
    > mean 0.033193948
    3599,3600c3598,3599
    < 5 -0.1865386542 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
    < 10 0.0002842755 0.006039631 0.1376916 -0.003939484 -0.003951327 0.06569682
    ---
    > 5 -0.1865386538 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
    > 10 0.0002842754 0.006039631 0.1376916 -0.003939484 -0.003951327 0.06569682
    3603,3606c3602,3605
    < 1 0.018163058 0.009363576 -0.11258162 -0.0056644662 0.003016901 -0.21024094
    < 5 0.029859665 0.026161887 -0.30233907 -0.0222752809 0.180537117 -0.27739988
    < 10 0.001123715 0.002298188 -0.06430114 -0.0005787055 -0.001452292 -0.10521758
    < mean 0.001897524 0.027447843 -0.05359818 0.0032611251 0.048827871 -0.08763667
    ---
    > 1 0.018159097 0.009080067 -0.11249454 -0.005671750 0.002926144 -0.21017065
    > 5 0.030100238 0.026173001 -0.30172442 -0.022542174 0.180444020 -0.27728605
    > 10 0.001191273 0.002304536 -0.06426513 -0.000436470 -0.001457520 -0.10512274
    > mean 0.001896839 0.027442481 -0.05347400 0.003245395 0.048833017 -0.08756019
    3611c3610
    < 1 -0.0898724971 -0.007611474 -0.024097591 0.10986178 -0.02228280
    ---
    > 1 -0.0898724972 -0.007611475 -0.024097591 0.10986178 -0.02228280
    3616,3624c3615,3623
    < 1 -0.026271829 -0.058179549 0.0131341691 0.019147256 0.030291362
    < 5 0.062794165 -0.011435953 -0.0184608698 -0.216260543 -0.156719353
    < 10 -0.010755334 -0.002788209 0.0020007513 0.005142881 0.001911291
    < mean 0.003498611 -0.010901932 0.0003400778 -0.042729429 -0.031756058
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.017179928 0.044862936
    < 5 0.111488447 -0.041148114
    < 10 0.003357581 0.007928101
    < mean 0.021286450 0.007982487
    ---
    > 1 -0.026271829 -0.058175429 0.0130572355 0.019150077 0.030288171
    > 5 0.062794165 -0.011462620 -0.0186985886 -0.216184097 -0.156831775
    > 10 -0.010755334 -0.002824503 0.0020017559 0.005117699 0.001971316
    > mean 0.003498611 -0.010899192 0.0003151392 -0.042704521 -0.031776232
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.01725109 0.044888881
    > 5 0.11131507 -0.041557175
    > 10 0.00336347 0.008002528
    > mean 0.02127647 0.007948404
    3629,3632c3628,3631
    < 1 0.0111026043 -0.019220268 -0.014252445 -0.02228280 0.1473312 -0.0080961714
    < 5 0.0134390760 -0.066230609 -0.060415748 -0.05216925 0.1886225 -0.0004257872
    < 10 0.0001431042 0.088988794 -0.003951327 -0.00361963 0.1238768 0.0082323869
    < mean 0.0054981910 -0.001428115 -0.025381502 -0.01923728 0.1293292 -0.0040483855
    ---
    > 1 0.0111026042 -0.019220268 -0.014252445 -0.02228280 0.1473312 -0.0080961714
    > 5 0.0134390757 -0.066230609 -0.060415748 -0.05216925 0.1886225 -0.0004257871
    > 10 0.0001431043 0.088988794 -0.003951327 -0.00361963 0.1238768 0.0082323867
    > mean 0.0054981909 -0.001428115 -0.025381502 -0.01923728 0.1293292 -0.0040483856
    3634,3642c3633,3641
    < 1 0.0058140628 0.029498303 0.0422260636 -0.003319491 0.0009543671
    < 5 0.0273894161 -0.085149156 0.0836840454 0.041852955 -0.1131972606
    < 10 0.0004953686 -0.067861457 -0.0002171497 -0.000286752 -0.1243880723
    < mean 0.0011529587 -0.005641265 0.0423905553 0.007599964 -0.0532275002
    < d_y3_d_x4
    < 1 0.04408361
    < 5 0.10280358
    < 10 -0.00270248
    < mean 0.04361764
    ---
    > 1 0.0058099279 0.029368034 4.221189e-02 -0.0033222126 0.0008094348
    > 5 0.0272786323 -0.085152095 8.360613e-02 0.0417908511 -0.1134354294
    > 10 0.0005950015 -0.067850555 -8.549624e-05 -0.0001680563 -0.1243549737
    > mean 0.0011689709 -0.005699656 4.236526e-02 0.0076070322 -0.0533113765
    > d_y3_d_x4
    > 1 0.044052368
    > 5 0.102497491
    > 10 -0.002606281
    > mean 0.043551983
    3648,3650c3647,3649
    < 5 -0.1876624140 -0.137910505 0.12725063 0.062794165 -0.0004257872 0.4303697
    < 10 0.0005193529 0.002116951 0.06569682 -0.010755334 0.0082323869 0.1622181
    < mean -0.0317096952 -0.038992651 0.02335124 0.003498611 -0.0040483855 0.1882394
    ---
    > 5 -0.1876624140 -0.137910505 0.12725063 0.062794165 -0.0004257871 0.4303697
    > 10 0.0005193529 0.002116951 0.06569682 -0.010755334 0.0082323867 0.1622181
    > mean -0.0317096952 -0.038992651 0.02335124 0.003498611 -0.0040483856 0.1882394
    3652,3660c3651,3659
    < 1 0.001137298 0.043253472 -0.04572322 -0.004974583 0.040296388
    < 5 0.024501812 -0.016294090 -0.34011612 -0.099403325 0.252717663
    < 10 0.001860797 -0.001625838 -0.07126846 -0.001334867 -0.006207211
    < mean -0.012351322 0.029173732 -0.04504173 -0.007046198 0.069471898
    < d_y3_d_x4
    < 1 -0.08971663
    < 5 -0.15379709
    < 10 -0.11693769
    < mean -0.04654424
    ---
    > 1 0.001140717 0.043384486 -0.04574026 -0.004963502 0.040292742
    > 5 0.024521697 -0.016429303 -0.33968675 -0.099438861 0.252703411
    > 10 0.001952299 -0.001624032 -0.07120353 -0.001192549 -0.006214361
    > mean -0.012397157 0.029202646 -0.04498710 -0.006966362 0.069504315
    > d_y3_d_x4
    > 1 -0.08977236
    > 5 -0.15394458
    > 10 -0.11685097
    > mean -0.04648243
    3665,3678c3664,3677
    < 1 0.0871290977 0.007305049 0.018163058 -0.058179549 0.0058140628
    < 5 -0.1074145476 -0.091437246 0.029859665 -0.011435953 0.0273894161
    < 10 0.0002662252 0.000340086 0.001123715 -0.002788209 0.0004953686
    < mean -0.0021706952 -0.014576494 0.001897524 -0.010901932 0.0011529587
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.001137298 0.0521894026 -0.0153685109 -0.025643191 -0.0294383921
    < 5 0.024501812 0.3513500142 -0.1657620870 -0.117523028 0.2398832879
    < 10 0.001860797 0.0009906673 -0.0004001085 -0.001639983 -0.0006803364
    < mean -0.012351322 0.0453402460 -0.0170756833 -0.005519772 0.0373238243
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0148235754 -0.033753890
    < 5 0.1158357073 -0.100643314
    < 10 -0.0005226474 -0.002313793
    < mean 0.0187299540 -0.015935991
    ---
    > 1 0.0871270271 0.007315706 0.018159097 -0.058175429 0.0058099279
    > 5 -0.1072915448 -0.091084366 0.030100238 -0.011462620 0.0272786323
    > 10 0.0002695627 0.000493143 0.001191273 -0.002824503 0.0005950015
    > mean -0.0021453299 -0.014430630 0.001896839 -0.010899192 0.0011689709
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.001140717 0.052186445 -0.0151297513 -0.025646749 -0.029437198
    > 5 0.024521697 0.351382199 -0.1650663379 -0.117904178 0.239711594
    > 10 0.001952299 0.001018486 -0.0004678488 -0.001726268 -0.000711753
    > mean -0.012397157 0.045309355 -0.0168889836 -0.005554718 0.037343626
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0148938303 -0.033773829
    > 5 0.1159836760 -0.101137100
    > 10 -0.0006902437 -0.002552456
    > mean 0.0186870720 -0.015933106
    3683,3696c3682,3695
    < 1 -0.0177399676 -0.118585928 0.009363576 0.0131341691 0.029498303
    < 5 0.1085141114 0.082835907 0.026161887 -0.0184608698 -0.085149156
    < 10 -0.0001022926 -0.108934473 0.002298188 0.0020007513 -0.067861457
    < mean 0.0081606323 0.001856717 0.027447843 0.0003400778 -0.005641265
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.043253472 -0.0153685109 0.18708466 -0.033064407 0.006300698
    < 5 -0.016294090 -0.1657620870 0.33833702 0.037222067 -0.101515022
    < 10 -0.001625838 -0.0004001085 0.08991047 0.001544213 0.000161025
    < mean 0.029173732 -0.0170756833 0.07198143 -0.032220456 -0.012979622
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.240449474 -0.039634609
    < 5 0.008338695 -0.076109180
    < 10 0.156756405 0.004055025
    < mean 0.052191852 -0.051399822
    ---
    > 1 -0.0173514905 -0.118511805 0.009080067 0.0130572355 0.029368034
    > 5 0.1086954968 0.082882900 0.026173001 -0.0186985886 -0.085152095
    > 10 -0.0001024627 -0.108914604 0.002304536 0.0020017559 -0.067850555
    > mean 0.0082663373 0.001858887 0.027442481 0.0003151392 -0.005699656
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.043384486 -0.0151297513 0.18665206 -0.032581347 6.162623e-03
    > 5 -0.016429303 -0.1650663379 0.33797782 0.037191700 -1.011780e-01
    > 10 -0.001624032 -0.0004678488 0.08985383 0.001419168 -6.380649e-07
    > mean 0.029202646 -0.0168889836 0.07190068 -0.032081138 -1.291427e-02
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.240208643 -0.039119566
    > 5 0.008438294 -0.075392389
    > 10 0.156662659 0.003899246
    > mean 0.052186706 -0.051216532
    3701,3704c3700,3703
    < 1 -0.0452749762 0.008326058 -0.11258162 0.019147256 0.0422260636
    < 5 0.3282948982 0.178884983 -0.30233907 -0.216260543 0.0836840454
    < 10 -0.0004098147 -0.001590868 -0.06430114 0.005142881 -0.0002171497
    < mean 0.0471611132 0.048496965 -0.05359818 -0.042729429 0.0423905553
    ---
    > 1 -0.0453053466 0.008347515 -0.11249454 0.019150077 4.221189e-02
    > 5 0.3284277562 0.178618168 -0.30172442 -0.216184097 8.360613e-02
    > 10 -0.0004071313 -0.001379843 -0.06426513 0.005117699 -8.549624e-05
    > mean 0.0472242051 0.048502770 -0.05347400 -0.042704521 4.236526e-02
    3706,3714c3705,3713
    < 1 -0.04572322 -0.025643191 -0.033064407 0.22244068 0.0145491010 -0.033554080
    < 5 -0.34011612 -0.117523028 0.037222067 0.70570062 0.1423288295 -0.391848569
    < 10 -0.07126846 -0.001639983 0.001544213 0.07757025 0.0009269843 0.005326792
    < mean -0.04504173 -0.005519772 -0.032220456 0.12854004 0.0095444796 -0.096925332
    < d_y3_d_x4
    < 1 0.27260332
    < 5 0.34347006
    < 10 0.11817688
    < mean 0.08399054
    ---
    > 1 -0.04574026 -0.025646749 -0.032581347 0.22216933 0.0145684749 -0.03324667
    > 5 -0.33968675 -0.117904178 0.037191700 0.70442886 0.1420128834 -0.39168643
    > 10 -0.07120353 -0.001726268 0.001419168 0.07750353 0.0007830003 0.00510837
    > mean -0.04498710 -0.005554718 -0.032081138 0.12840930 0.0094411092 -0.09690955
    > d_y3_d_x4
    > 1 0.27241297
    > 5 0.34315784
    > 10 0.11801276
    > mean 0.08382957
    3719,3732c3718,3731
    < 1 -0.0615096107 -0.0014498166 -0.0056644662 0.030291362 -0.003319491
    < 5 0.0447948558 -0.0370297126 -0.0222752809 -0.156719353 0.041852955
    < 10 -0.0001890735 -0.0001548611 -0.0005787055 0.001911291 -0.000286752
    < mean -0.0012513516 -0.0053821720 0.0032611251 -0.031756058 0.007599964
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 -0.004974583 -0.0294383921 0.006300698 0.0145491010 0.0216791318
    < 5 -0.099403325 0.2398832879 -0.101515022 0.1423288295 0.5351355080
    < 10 -0.001334867 -0.0006803364 0.000161025 0.0009269843 0.0005311534
    < mean -0.007046198 0.0373238243 -0.012979622 0.0095444796 0.0601792879
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.0022469401 0.009029162
    < 5 -0.0095536318 -0.143675446
    < 10 0.0002302148 0.001021854
    < mean 0.0006292537 -0.033226750
    ---
    > 1 -0.0615087519 -1.435210e-03 -0.005671750 0.030288171 -0.0033222126
    > 5 0.0449074842 -3.680357e-02 -0.022542174 -0.156831775 0.0417908511
    > 10 -0.0001952407 5.835166e-05 -0.000436470 0.001971316 -0.0001680563
    > mean -0.0012198391 -5.339526e-03 0.003245395 -0.031776232 0.0076070322
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 -0.004963502 -0.029437198 6.162623e-03 0.0145684749 0.0216792771
    > 5 -0.099438861 0.239711594 -1.011780e-01 0.1420128834 0.5353957063
    > 10 -0.001192549 -0.000711753 -6.380649e-07 0.0007830003 0.0005646205
    > mean -0.006966362 0.037343626 -1.291427e-02 0.0094411092 0.0601547586
    > d_y2_d_x4 d_y3_d_x4
    > 1 2.274581e-03 0.0090677567
    > 5 -9.154354e-03 -0.1430645150
    > 10 -6.782968e-05 0.0008214205
    > mean 7.278704e-04 -0.0332495963
    3737,3750c3736,3749
    < 1 -0.0068204289 -0.2776559 0.003016901 0.017179928 0.0009543671
    < 5 -0.2422418545 -0.1484980 0.180537117 0.111488447 -0.1131972606
    < 10 -0.0001533034 -0.2017918 -0.001452292 0.003357581 -0.1243880723
    < mean -0.0433591742 -0.1055868 0.048827871 0.021286450 -0.0532275002
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.040296388 -0.0148235754 0.240449474 -0.033554080 0.0022469401
    < 5 0.252717663 0.1158357073 0.008338695 -0.391848569 -0.0095536318
    < 10 -0.006207211 -0.0005226474 0.156756405 0.005326792 0.0002302148
    < mean 0.069471898 0.0187299540 0.052191852 -0.096925332 0.0006292537
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.6044272 -0.02044526
    < 5 0.5642249 -0.26202679
    < 10 0.3033983 0.01131299
    < mean 0.3182233 -0.07005962
    ---
    > 1 -0.0069782753 -0.2778544 0.002926144 0.01725109 0.0008094348
    > 5 -0.2420002118 -0.1481576 0.180444020 0.11131507 -0.1134354294
    > 10 -0.0001539053 -0.2017364 -0.001457520 0.00336347 -0.1243549737
    > mean -0.0433438979 -0.1055772 0.048833017 0.02127647 -0.0533113765
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 0.040292742 -0.0148938303 0.240208643 -0.03324667 2.274581e-03 0.6053376
    > 5 0.252703411 0.1159836760 0.008438294 -0.39168643 -9.154354e-03 0.5647923
    > 10 -0.006214361 -0.0006902437 0.156662659 0.00510837 -6.782968e-05 0.3032282
    > mean 0.069504315 0.0186870720 0.052186706 -0.09690955 7.278704e-04 0.3186433
    > d_y3_d_x4
    > 1 -0.02029626
    > 5 -0.26212238
    > 10 0.01105439
    > mean -0.07001765
    3755,3758c3754,3757
    < 1 -0.0250869153 0.002860497 -0.21024094 0.044862936 0.04408361
    < 5 0.1374495372 0.087180477 -0.27739988 -0.041148114 0.10280358
    < 10 -0.0005859012 -0.005231592 -0.10521758 0.007928101 -0.00270248
    < mean 0.0118519205 0.033170120 -0.08763667 0.007982487 0.04361764
    ---
    > 1 -0.0251646531 0.003016481 -0.21017065 0.044888881 0.044052368
    > 5 0.1382809232 0.087378268 -0.27728605 -0.041557175 0.102497491
    > 10 -0.0005932655 -0.005051618 -0.10512274 0.008002528 -0.002606281
    > mean 0.0119531378 0.033193948 -0.08756019 0.007948404 0.043551983
    3760,3768c3759,3767
    < 1 -0.08971663 -0.033753890 -0.039634609 0.27260332 0.009029162 -0.02044526
    < 5 -0.15379709 -0.100643314 -0.076109180 0.34347006 -0.143675446 -0.26202679
    < 10 -0.11693769 -0.002313793 0.004055025 0.11817688 0.001021854 0.01131299
    < mean -0.04654424 -0.015935991 -0.051399822 0.08399054 -0.033226750 -0.07005962
    < d_y3_d_x4
    < 1 0.5220365
    < 5 0.4793612
    < 10 0.2114558
    < mean 0.2156430
    ---
    > 1 -0.08977236 -0.033773829 -0.039119566 0.27241297 0.0090677567 -0.02029626
    > 5 -0.15394458 -0.101137100 -0.075392389 0.34315784 -0.1430645150 -0.26212238
    > 10 -0.11685097 -0.002552456 0.003899246 0.11801276 0.0008214205 0.01105439
    > mean -0.04648243 -0.015933106 -0.051216532 0.08382957 -0.0332495963 -0.07001765
    > d_y3_d_x4
    > 1 0.5218449
    > 5 0.4782605
    > 10 0.2112263
    > mean 0.2153100
    3773,3774c3772,3773
    < d_y2_d_x1 0.006460991 0.148777309 -0.009259879 -0.0031171537 -0.001428115
    < d_y3_d_x1 -0.034854738 -0.009259879 0.100579205 0.0115321322 -0.025381502
    ---
    > d_y2_d_x1 0.006460991 0.148777309 -0.009259879 -0.0031171538 -0.001428115
    > d_y3_d_x1 -0.034854738 -0.009259879 0.100579205 0.0115321321 -0.025381502
    3778,3809c3777,3808
    < d_y1_d_x3 -0.002170695 -0.014576494 0.001897524 -0.0109019325 0.001152959
    < d_y2_d_x3 0.008160632 0.001856717 0.027447843 0.0003400778 -0.005641265
    < d_y3_d_x3 0.047161113 0.048496965 -0.053598184 -0.0427294288 0.042390555
    < d_y1_d_x4 -0.001251352 -0.005382172 0.003261125 -0.0317560582 0.007599964
    < d_y2_d_x4 -0.043359174 -0.105586755 0.048827871 0.0212864498 -0.053227500
    < d_y3_d_x4 0.011851921 0.033170120 -0.087636672 0.0079824870 0.043617635
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < d_y1_d_x1 -0.031709695 -0.002170695 0.0081606323 0.047161113 -0.0012513516
    < d_y2_d_x1 -0.038992651 -0.014576494 0.0018567171 0.048496965 -0.0053821720
    < d_y3_d_x1 0.023351239 0.001897524 0.0274478427 -0.053598184 0.0032611251
    < d_y1_d_x2 0.003498611 -0.010901932 0.0003400778 -0.042729429 -0.0317560582
    < d_y2_d_x2 -0.004048386 0.001152959 -0.0056412648 0.042390555 0.0075999641
    < d_y3_d_x2 0.188239422 -0.012351322 0.0291737323 -0.045041732 -0.0070461984
    < d_y1_d_x3 -0.012351322 0.045340246 -0.0170756833 -0.005519772 0.0373238243
    < d_y2_d_x3 0.029173732 -0.017075683 0.0719814311 -0.032220456 -0.0129796222
    < d_y3_d_x3 -0.045041732 -0.005519772 -0.0322204565 0.128540042 0.0095444796
    < d_y1_d_x4 -0.007046198 0.037323824 -0.0129796222 0.009544480 0.0601792879
    < d_y2_d_x4 0.069471898 0.018729954 0.0521918515 -0.096925332 0.0006292537
    < d_y3_d_x4 -0.046544236 -0.015935991 -0.0513998220 0.083990543 -0.0332267504
    < d_y2_d_x4 d_y3_d_x4
    < d_y1_d_x1 -0.0433591742 0.011851921
    < d_y2_d_x1 -0.1055867547 0.033170120
    < d_y3_d_x1 0.0488278708 -0.087636672
    < d_y1_d_x2 0.0212864498 0.007982487
    < d_y2_d_x2 -0.0532275002 0.043617635
    < d_y3_d_x2 0.0694718982 -0.046544236
    < d_y1_d_x3 0.0187299540 -0.015935991
    < d_y2_d_x3 0.0521918515 -0.051399822
    < d_y3_d_x3 -0.0969253321 0.083990543
    < d_y1_d_x4 0.0006292537 -0.033226750
    < d_y2_d_x4 0.3182233313 -0.070059615
    < d_y3_d_x4 -0.0700596152 0.215643019
    ---
    > d_y1_d_x3 -0.002145330 -0.014430630 0.001896839 -0.0108991920 0.001168971
    > d_y2_d_x3 0.008266337 0.001858887 0.027442481 0.0003151392 -0.005699656
    > d_y3_d_x3 0.047224205 0.048502770 -0.053474002 -0.0427045208 0.042365258
    > d_y1_d_x4 -0.001219839 -0.005339526 0.003245395 -0.0317762324 0.007607032
    > d_y2_d_x4 -0.043343898 -0.105577209 0.048833017 0.0212764688 -0.053311376
    > d_y3_d_x4 0.011953138 0.033193948 -0.087560193 0.0079484035 0.043551983
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > d_y1_d_x1 -0.031709695 -0.002145330 0.0082663373 0.047224205 -0.0012198391
    > d_y2_d_x1 -0.038992651 -0.014430630 0.0018588875 0.048502770 -0.0053395257
    > d_y3_d_x1 0.023351239 0.001896839 0.0274424813 -0.053474002 0.0032453946
    > d_y1_d_x2 0.003498611 -0.010899192 0.0003151392 -0.042704521 -0.0317762324
    > d_y2_d_x2 -0.004048386 0.001168971 -0.0056996564 0.042365258 0.0076070322
    > d_y3_d_x2 0.188239422 -0.012397157 0.0292026461 -0.044987100 -0.0069663622
    > d_y1_d_x3 -0.012397157 0.045309355 -0.0168889836 -0.005554718 0.0373436258
    > d_y2_d_x3 0.029202646 -0.016888984 0.0719006837 -0.032081138 -0.0129142719
    > d_y3_d_x3 -0.044987100 -0.005554718 -0.0320811379 0.128409299 0.0094411092
    > d_y1_d_x4 -0.006966362 0.037343626 -0.0129142719 0.009441109 0.0601547586
    > d_y2_d_x4 0.069504315 0.018687072 0.0521867055 -0.096909554 0.0007278704
    > d_y3_d_x4 -0.046482427 -0.015933106 -0.0512165316 0.083829573 -0.0332495963
    > d_y2_d_x4 d_y3_d_x4
    > d_y1_d_x1 -0.0433438979 0.011953138
    > d_y2_d_x1 -0.1055772087 0.033193948
    > d_y3_d_x1 0.0488330170 -0.087560193
    > d_y1_d_x2 0.0212764688 0.007948404
    > d_y2_d_x2 -0.0533113765 0.043551983
    > d_y3_d_x2 0.0695043150 -0.046482427
    > d_y1_d_x3 0.0186870720 -0.015933106
    > d_y2_d_x3 0.0521867055 -0.051216532
    > d_y3_d_x3 -0.0969095539 0.083829573
    > d_y1_d_x4 0.0007278704 -0.033249596
    > d_y2_d_x4 0.3186432682 -0.070017645
    > d_y3_d_x4 -0.0700176450 0.215309973
    3817c3816
    < 1 0.237119196 -0.0042905707 -0.004537520 -0.16362764 0.021246739
    ---
    > 1 0.237119196 -0.0042905705 -0.004537520 -0.16362764 0.021246739
    3820c3819
    < mean 0.170543000 0.0030140116 -0.015057964 -0.10021907 0.007756283
    ---
    > mean 0.170543000 0.0030140117 -0.015057964 -0.10021907 0.007756283
    3822,3830c3821,3829
    < 1 0.053090421 0.11546354 -0.017597035 -0.04924117 -0.08098938
    < 5 -0.050415270 0.04649614 0.020150548 0.09161560 -0.02611245
    < 10 -0.020715613 -0.01887379 0.001376677 0.00885958 0.01438849
    < mean -0.006013487 0.04769530 0.001310063 0.01707801 -0.03090445
    < d_y2_d_x4 d_y3_d_x4
    < 1 4.929390e-03 0.003941292
    < 5 -4.054534e-02 0.032862602
    < 10 -8.881784e-05 -0.001154632
    < mean -1.190159e-02 0.011883087
    ---
    > 1 0.053090421 0.11544880 -0.016286972 -0.049332760 -0.08098175
    > 5 -0.050415270 0.04682366 0.021016522 0.092581498 -0.02604583
    > 10 -0.020715613 -0.01938449 0.001389167 0.008526513 0.01518785
    > mean -0.006013487 0.04762932 0.002039572 0.017258417 -0.03061324
    > d_y2_d_x4 d_y3_d_x4
    > 1 4.840572e-03 0.0037525538
    > 5 -4.027889e-02 0.0331734640
    > 10 -3.885781e-05 -0.0007105427
    > mean -1.182573e-02 0.0120718250
    3837c3836
    < 10 3.416534e-05 -6.254719e-06 -8.454515e-05 0.00000000 0.000000000
    ---
    > 10 3.416556e-05 -6.254719e-06 -8.454504e-05 0.00000000 0.000000000
    3841c3840
    < 5 -0.05041527 0.04634071 0.020616842 0.09177104 -0.026023628 -0.04081180
    ---
    > 5 -0.05041527 0.04666822 0.020861091 0.09242607 -0.025957014 -0.04019007
    3843c3842
    < mean -0.01680509 0.01544690 0.006872281 0.03059035 -0.008674543 -0.01360393
    ---
    > mean -0.01680509 0.01555607 0.006953697 0.03080869 -0.008652338 -0.01339669
    3846c3845
    < 5 0.03277378
    ---
    > 5 0.03326228
    3848c3847
    < mean 0.01092459
    ---
    > mean 0.01108743
    3853,3861c3852,3860
    < 1 0.23711920 -0.004290571 -0.004537520 0.03892668 -0.004881742 -0.01711139
    < 5 0.00000000 0.000000000 0.000000000 0.24661116 -0.058139940 -0.14174766
    < 10 0.00000000 0.000000000 0.000000000 0.05122359 -0.004908095 -0.02281777
    < mean 0.07903973 -0.001430190 -0.001512507 0.11225381 -0.022643259 -0.06055894
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 0.11546354 -0.017597035 -0.04924117 -0.08098938 0.00492939 0.003941292
    < 5 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000
    < 10 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000
    < mean 0.03848785 -0.005865678 -0.01641372 -0.02699646 0.00164313 0.001313764
    ---
    > 1 0.23711920 -0.00429057 -0.004537520 0.03892668 -0.004881742 -0.01711139
    > 5 0.00000000 0.00000000 0.000000000 0.24661116 -0.058139940 -0.14174766
    > 10 0.00000000 0.00000000 0.000000000 0.05122359 -0.004908095 -0.02281777
    > mean 0.07903973 -0.00143019 -0.001512507 0.11225381 -0.022643259 -0.06055894
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 0.11547308 -0.016286972 -0.04937162 -0.08099563 0.004840572 0.003774758
    > 5 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.000000000
    > 10 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.000000000
    > mean 0.03849103 -0.005428991 -0.01645721 -0.02699854 0.001613524 0.001258253
    3866,3867c3865,3866
    < 1 -0.253201499 0.0045815732 0.004845272 0.1747255 -0.022687772 -0.05669121
    < 5 -0.174546122 -0.0081876610 0.026660415 0.1146775 -0.004182000 0.03151152
    ---
    > 1 -0.253201499 0.0045815729 0.004845272 0.1747255 -0.022687772 -0.05669121
    > 5 -0.174546122 -0.0081876608 0.026660414 0.1146775 -0.004182000 0.03151152
    3869c3868
    < mean -0.144566262 -0.0011045780 0.011345133 0.1158780 -0.010907806 -0.01705108
    ---
    > mean -0.144566262 -0.0011045781 0.011345133 0.1158780 -0.010907806 -0.01705108
    3871,3879c3870,3878
    < 1 -0.08438371 0.013525756 0.035596448 0.08650580 -0.0041744386
    < 5 0.40110687 -0.078708507 -0.150118695 0.01643130 0.0254907206
    < 10 -0.01925572 0.001474481 0.009000073 0.01718625 -0.0000721645
    < mean 0.09915581 -0.021236090 -0.035174058 0.04004112 0.0070813725
    < d_y3_d_x4
    < 1 -0.004107825
    < 5 -0.020561330
    < 10 -0.002131628
    < mean -0.008933595
    ---
    > 1 -0.08437642 0.014336219 0.035596448 0.08650164 -3.774758e-03
    > 5 0.40105691 -0.078108987 -0.149774526 0.01605382 2.540190e-02
    > 10 -0.01912249 0.001521665 0.008955663 0.01736389 -1.665335e-05
    > mean 0.09918600 -0.020750368 -0.035074138 0.03997312 7.203497e-03
    > d_y3_d_x4
    > 1 -0.004019007
    > 5 -0.020961011
    > 10 -0.001598721
    > mean -0.008859580
    3884,3897c3883,3896
    < 1 0.101122853 -0.0018297751 -0.0019350901 -0.06978133 0.009060974
    < 5 0.229431652 0.0107622472 -0.0350437056 -0.15073756 0.005497018
    < 10 0.001805885 -0.0000887149 -0.0007676429 -0.01767021 0.001776293
    < mean 0.110786797 0.0029479191 -0.0125821462 -0.07939637 0.005444762
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.022641165 0.049251575 -0.0072386541 -0.021177504 0.004379314
    < 5 -0.041420233 0.038008485 0.0178967952 0.077160500 0.408389935
    < 10 0.007881690 0.006650236 -0.0005440093 -0.004063416 -0.000592868
    < mean -0.003632459 0.031303432 0.0033713773 0.017306527 0.137392127
    < d_y2_d_x4 d_y3_d_x4
    < 1 -0.0029277490 -0.015490465
    < 5 -0.0980485920 -0.064775851
    < 10 -0.0002394261 -0.001658069
    < mean -0.0337385891 -0.027308128
    ---
    > 1 0.101122853 -1.829775e-03 -0.0019350901 -0.06978133 0.009060974
    > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018
    > 10 0.001805885 -8.871495e-05 -0.0007676428 -0.01767021 0.001776293
    > mean 0.110786797 2.947919e-03 -0.0125821461 -0.07939637 0.005444762
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.022641165 0.049267708 -0.0072386541 -0.021049829 0.0043827839
    > 5 -0.041420232 0.037997383 0.0179078974 0.077016171 0.4085231613
    > 10 0.007881690 0.006949996 -0.0005273559 -0.003608225 -0.0008149126
    > mean -0.003632459 0.031405029 0.0033806291 0.017452706 0.1373636775
    > d_y2_d_x4 d_y3_d_x4
    > 1 -0.0029277489 -0.015335034
    > 5 -0.0980041830 -0.063576810
    > 10 -0.0002172217 -0.001968931
    > mean -0.0337163845 -0.026960258
    3904,3905c3903,3904
    < 10 0.0001492365 0.21970457 0.010775848 -0.00348749 0.13273560
    < mean -0.0177910950 0.02352282 0.007929838 0.01331229 -0.01821674
    ---
    > 10 0.0001492367 0.21970457 0.010775848 -0.00348749 0.13273560
    > mean -0.0177910949 0.02352282 0.007929838 0.01331229 -0.01821674
    3907,3915c3906,3914
    < 1 -0.019690254 -0.013787756 0.24437119 0.026531555 0.0034687531
    < 5 0.019517303 0.020222712 0.05337952 -0.037314596 0.0320410365
    < 10 0.010499709 0.001032507 -0.22647717 -0.010325074 -0.0001332268
    < mean 0.003442253 0.002489155 0.02375785 -0.007036038 0.0117921876
    < d_y2_d_x4 d_y3_d_x4
    < 1 0.31739056 0.026367797
    < 5 0.06252776 -0.036992631
    < 10 -0.30221381 -0.012168044
    < mean 0.02590150 -0.007597626
    ---
    > 1 -0.019690253 -0.0138023273 0.24398261 0.026548208 0.0034493242
    > 5 0.019517303 0.0206390460 0.05356826 -0.037603254 0.0322852856
    > 10 0.010499709 0.0008881784 -0.22631341 -0.010202950 0.0003552714
    > mean 0.003442253 0.0025749657 0.02374582 -0.007085998 0.0120299604
    > d_y2_d_x4 d_y3_d_x4
    > 1 0.31725733 0.026167957
    > 5 0.06363798 -0.037081449
    > 10 -0.30195846 -0.011679546
    > mean 0.02631229 -0.007531013
    3922c3921
    < 10 -2.590372e-06 0.3469243 0.014366785 0.000000000 0.00000000 0.000000000
    ---
    > 10 -2.590150e-06 0.3469243 0.014366785 0.000000000 0.00000000 0.000000000
    3925,3928c3924,3927
    < 1 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.00000000
    < 5 0.020089486 0.05351275 -0.0373146 0.03186340 0.0627054 -0.03699263
    < 10 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.00000000
    < mean 0.006696495 0.01783758 -0.0124382 0.01062113 0.0209018 -0.01233088
    ---
    > 1 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > 5 0.020822233 0.05372369 -0.03748113 0.03248513 0.06354917 -0.03694822
    > 10 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
    > mean 0.006940744 0.01790790 -0.01249371 0.01082838 0.02118306 -0.01231607
    3938c3937
    < 1 -0.013787756 0.24437119 0.026531555 0.003468753 0.3173906 0.026367797
    ---
    > 1 -0.013802327 0.24398261 0.026548208 0.003449324 0.3172573 0.026167957
    3941c3940
    < mean -0.004595919 0.08145706 0.008843852 0.001156251 0.1057969 0.008789266
    ---
    > mean -0.004600776 0.08132754 0.008849403 0.001149775 0.1057524 0.008722652
    3947c3946
    < 5 0.0292628427 -0.03760911 -0.015075756 -0.012391838 0.07069564 -0.012199081
    ---
    > 5 0.0292628426 -0.03760911 -0.015075756 -0.012391838 0.07069564 -0.012199081
    3949c3948
    < mean 0.0122032083 0.15378754 0.003431482 -0.013987911 0.10547979 0.007330443
    ---
    > mean 0.0122032083 0.15378754 0.003431481 -0.013987911 0.10547979 0.007330444
    3951,3959c3950,3958
    < 1 0.011232542 0.06788194 -0.01381498 -0.0037039816 -0.33892888
    < 5 -0.074705254 0.37237153 0.05801460 -0.0198951966 -0.03885781
    < 10 0.000192342 -0.15654633 -0.01002040 -0.0003996803 -0.37869152
    < mean -0.021093457 0.09456905 0.01139307 -0.0079996195 -0.25215940
    < d_y3_d_x4
    < 1 -0.028066438
    < 5 0.022737368
    < 10 -0.015365487
    < mean -0.006898186
    ---
    > 1 0.0112602974 0.06748226 -0.013584606 -3.665124e-03 -0.33981706
    > 5 -0.0745276181 0.37223831 0.057614917 -1.989520e-02 -0.03903544
    > 10 0.0008473737 -0.15659907 -0.009309854 8.881784e-05 -0.37872483
    > mean -0.0208066490 0.09437383 0.011573486 -7.823834e-03 -0.25252578
    > d_y3_d_x4
    > 1 -0.02776668
    > 5 0.02291500
    > 10 -0.01501022
    > mean -0.00662063
    3966c3965
    < 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326888 -0.05050205
    ---
    > 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326889 -0.05050205
    3969,3977c3968,3976
    < 1 -0.008397188 -0.0058985802 0.10461632 0.011260437 -2.030807e-03 0.4643204
    < 5 0.016035047 0.0168975944 0.04392042 -0.030864200 -3.549218e-02 0.4571371
    < 10 -0.003994835 -0.0002997602 0.08608947 0.003674838 7.021744e-05 0.2421167
    < mean 0.001214341 0.0035664180 0.07820874 -0.005309642 -1.248426e-02 0.3878581
    < d_y3_d_x4
    < 1 0.025697861
    < 5 0.003658077
    < 10 0.008342692
    < mean 0.012566210
    ---
    > 1 -0.008397188 -5.891121e-03 0.10417223 0.011429746 -0.0020287253 0.4646756
    > 5 0.016035047 1.678657e-02 0.04400924 -0.031175063 -0.0350480873 0.4574923
    > 10 -0.003994835 -2.220446e-05 0.08605894 0.004107825 0.0001146264 0.2420390
    > mean 0.001214341 3.624416e-03 0.07808013 -0.005212497 -0.0123207287 0.3880690
    > d_y3_d_x4
    > 1 0.025842189
    > 5 0.003835713
    > 10 0.008298283
    > mean 0.012658728
    3982,3983c3981,3982
    < 1 -0.0232567723 -0.011015572 -0.15915262 0.04568840 -0.015580858
    < 5 -0.0739470341 -0.007314459 0.22130059 0.06229383 -0.013690362
    ---
    > 1 -0.0232567722 -0.011015572 -0.15915262 0.04568840 -0.015580858
    > 5 -0.0739470342 -0.007314459 0.22130059 0.06229383 -0.013690362
    3985c3984
    < mean -0.0321283183 -0.002287747 0.06444847 0.03234544 -0.006538979
    ---
    > mean -0.0321283184 -0.002287747 0.06444847 0.03234544 -0.006538979
    3987,3995c3986,3994
    < 1 -0.12588268 -0.028626927 0.024968916 0.24263369 0.011713547 0.02455813
    < 5 0.05968877 -0.035238479 0.003963496 -0.14778179 -0.033484326 0.03184120
    < 10 0.15417144 0.003963496 -0.010075274 -0.21641577 -0.001909584 -0.01214584
    < mean 0.02932584 -0.019967303 0.006285713 -0.04052129 -0.007893454 0.01475116
    < d_y3_d_x4
    < 1 0.28566038
    < 5 -0.25575098
    < 10 -0.23931968
    < mean -0.06980342
    ---
    > 1 -0.12588268 -0.028605590 0.025801583 0.24238112 0.011737833 0.02504663
    > 5 0.05968877 -0.035038639 0.003830269 -0.14682700 -0.033928416 0.03166356
    > 10 0.15417144 0.004118927 -0.010071111 -0.21652680 -0.001643130 -0.01217360
    > mean 0.02932584 -0.019841767 0.006520247 -0.04032423 -0.007944571 0.01484553
    > d_y3_d_x4
    > 1 0.28544944
    > 5 -0.25548452
    > 10 -0.23940849
    > mean -0.06981452
    4000c3999
    < 1 -3.172708e-02 0.003760222 0.1006422 0.00000000 0.000000000 0.00000000
    ---
    > 1 -3.172708e-02 0.003760221 0.1006422 0.00000000 0.000000000 0.00000000
    4002c4001
    < 10 -4.433121e-06 0.014931963 0.2725413 0.00000000 0.000000000 0.00000000
    ---
    > 10 -4.433343e-06 0.014931963 0.2725413 0.00000000 0.000000000 0.00000000
    4006c4005
    < 5 -0.03529954 0.003963496 -0.14793722 -0.03355094 0.03184120 -0.25566216
    ---
    > 5 -0.03503864 0.003830269 -0.14682700 -0.03392842 0.03166356 -0.25548452
    4008c4007
    < mean -0.01176651 0.001321165 -0.04931241 -0.01118365 0.01061373 -0.08522072
    ---
    > mean -0.01167955 0.001276756 -0.04894233 -0.01130947 0.01055452 -0.08516151
    4015c4014
    < 10 0.000000000 0.000000000 0.00000000 -0.011769192 0.01311946 0.2955153
    ---
    > 10 0.000000000 0.000000000 0.00000000 -0.011769193 0.01311946 0.2955153
    4018,4021c4017,4020
    < 1 -0.028623805 0.024658053 0.2426337 0.011703832 0.024735769 0.28566038
    < 5 0.000000000 0.000000000 0.0000000 0.000000000 0.000000000 0.00000000
    < 10 0.000000000 0.000000000 0.0000000 0.000000000 0.000000000 0.00000000
    < mean -0.009541268 0.008219351 0.0808779 0.003901277 0.008245256 0.09522013
    ---
    > 1 -0.028605590 0.025801583 0.24238112 0.011737833 0.025046631 0.28544944
    > 5 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
    > 10 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
    > mean -0.009535197 0.008600528 0.08079371 0.003912611 0.008348877 0.09514981
    4027,4028c4026,4027
    < 5 0.046219800 0.004571824 -0.13832156 -0.03893609 0.008557014 -0.03730783
    < 10 0.001026688 0.014377230 0.16449729 -0.01372414 0.012104684 0.19330245
    ---
    > 5 0.046219800 0.004571824 -0.13832156 -0.03893609 0.008557013 -0.03730783
    > 10 0.001026687 0.014377230 0.16449729 -0.01372414 0.012104684 0.19330245
    4031,4039c4030,4038
    < 1 0.022102636 -0.011192323 0.0008547584 -0.012528173 -0.02571277
    < 5 -0.102096384 0.045943934 0.4573611985 0.020783375 -0.02042810
    < 10 0.003062496 -0.009170551 -0.1310937438 -0.002220446 -0.01528222
    < mean -0.025643751 0.008527020 0.1090407377 0.002011585 -0.02047436
    < d_y3_d_x4
    < 1 -0.3048783
    < 5 0.1603606
    < 10 -0.3003375
    < mean -0.1482851
    ---
    > 1 0.022109401 -0.011103506 0.0008464317 -0.012528867 -0.02535749
    > 5 -0.102906847 0.045699685 0.4576054475 0.020916602 -0.02069456
    > 10 0.003317847 -0.009184429 -0.1307384724 -0.001909584 -0.01529332
    > mean -0.025826533 0.008470583 0.1092378023 0.002159384 -0.02044846
    > d_y3_d_x4
    > 1 -0.3048228
    > 5 0.1606271
    > 10 -0.2999823
    > mean -0.1480593
    4043,4057c4042,4051
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
    < 1 -0.0099181812 -0.004697747 -0.06787290 0.019484466 -0.006644679
    < 5 -0.0607534844 -0.006009421 0.18181638 0.051179428 -0.011247743
    < 10 -0.0003115489 -0.004362780 -0.04991682 0.004164601 -0.003673175
    < mean -0.0236610715 -0.005023316 0.02134222 0.024942832 -0.007188532
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    < 1 -0.05368446 -0.012222515 0.010225154 0.10332291 -0.0034812393 0.024767800
    < 5 0.04903917 -0.029271030 0.003164136 -0.12057022 -0.1524338957 0.075076186
    < 10 -0.05865776 -0.001598721 0.003891332 0.08185674 -0.0004680132 0.008150316
    < mean -0.02110102 -0.014364089 0.005760207 0.02153648 -0.0521277161 0.035998101
    < d_y3_d_x4
    < 1 0.3814975
    < 5 0.1556137
    < 10 0.2321601
    < mean 0.2564238
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
    > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
    > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
    > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
    > mean -0.0236610716 -0.005023316 0.02134222 0.02494283 -0.007188532 -0.02110102
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
    > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
    > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
    > mean -0.014443828 0.005966986 0.02158366 -0.052158016 0.036159083 0.2564053
    4062,4075c4056,4069
    < 1 0.0119593147 -0.0174661634 2.470719e-03 -0.1075036372 0.060236172
    < 5 -0.2627469942 -0.3102622052 5.436432e-02 0.0008249928 0.141162941
    < 10 0.0002986814 -0.0001412116 5.869194e-06 -0.0079378153 0.006272141
    < mean -0.0834963327 -0.1092898601 1.894697e-02 -0.0382054866 0.069223751
    < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    < 1 0.057426766 0.044672946 -0.029198866 -3.142764e-02 -2.457756e-03
    < 5 0.165725303 0.360367292 -0.354105634 -2.029044e-01 3.655298e-01
    < 10 0.005869357 0.002053913 -0.001038059 4.440892e-05 4.440892e-05
    < mean 0.076340475 0.135698050 -0.128114186 -7.809586e-02 1.210388e-01
    < d_y2_d_x4 d_y3_d_x4
    < 1 7.194245e-03 -0.0081157303
    < 5 2.863931e-01 -0.1056932319
    < 10 6.661338e-05 -0.0005329071
    < mean 9.788466e-02 -0.0381139564
    ---
    > 1 0.0119593147 -0.0174661633 2.470719e-03 -0.1075036372 0.060236172
    > 5 -0.2627469940 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
    > 10 0.0002986817 -0.0001412116 5.869527e-06 -0.0079378150 0.006272141
    > mean -0.0834963325 -0.1092898600 1.894697e-02 -0.0382054865 0.069223751
    > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
    > 1 0.057426766 0.044659935 -0.029354297 -0.031555314 -0.0024487357
    > 5 0.165725303 0.360245167 -0.353705953 -0.202970973 0.3657518732
    > 10 0.005869358 0.001720846 -0.001033895 -0.000577316 0.0004884981
    > mean 0.076340476 0.135541983 -0.128031382 -0.078367868 0.1212638786
    > d_y2_d_x4 d_y3_d_x4
    > 1 7.283063e-03 -0.0082711615
    > 5 2.865708e-01 -0.1066702282
    > 10 3.885781e-05 -0.0001776357
    > mean 9.796423e-02 -0.0383730085
    4081c4075
    < 5 -0.13515076 -0.1522331797 -0.008299913 0.21839363 -0.004554075 0.33427476
    ---
    > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
    4083,4088c4077,4087
    < mean -0.05620635 -0.0516546047 -0.019072980 0.14245227 -0.007539687 0.16223518
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.10554734 0.011690648 -0.08223422 0.023809427 0.0023536728 0.030420111
    < 5 -0.17428281 -0.033362202 -0.40429882 -0.447553106 0.1727951116 0.091660013
    < 10 -0.01364464 0.000928424 -0.01226796 0.004396483 0.0002498002 0.004574119
    < mean -0.09782493 -0.006914376 -0.16626700 -0.139782399 0.0584661948 0.042218081
    ---
    > mean -0.05620635 -0.0516546046 -0.019072980 0.14245227 -0.007539687 0.16223518
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
    > 1 -0.10554595 0.0111022302 -0.08223699 0.023814978 0.0021316282
    > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937
    > 10 -0.01385558 0.0008895662 -0.01219025 0.004973799 0.0002720046
    > mean -0.09787443 -0.0073085057 -0.16597927 -0.139565905 0.0583699755
    > d_y3_d_x4
    > 1 0.030409009
    > 5 0.091260333
    > 10 0.005240253
    > mean 0.042303198
    4093,4101c4092,4100
    < 1 -4.065697e-04 0.1000440 -0.1147518 0.0134169502 0.14424394 -0.20173175
    < 5 1.095618e-01 0.1914696 -0.2351233 -0.0474577989 0.19609338 -0.26047393
    < 10 -5.019285e-05 0.1066395 -0.1269163 0.0005696239 0.08873839 -0.08386716
    < mean 3.636834e-02 0.1327177 -0.1589305 -0.0111570749 0.14302524 -0.18202428
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    < 1 -0.0050591475 -0.22088997 0.27925162 -0.0002026157 -0.26432190 0.34091618
    < 5 -0.0634270414 -0.23671065 0.42570392 -0.0565325564 -0.46083137 0.51869620
    < 10 -0.0004551914 -0.08058137 0.07938095 0.0003108624 -0.09792722 0.09796608
    < mean -0.0229804601 -0.17939400 0.26144549 -0.0188081032 -0.27436016 0.31919282
    ---
    > 1 -4.065696e-04 0.1000440 -0.1147518 0.0134169502 0.14424394 -0.20173175
    > 5 1.095618e-01 0.1914696 -0.2351233 -0.0474577987 0.19609338 -0.26047393
    > 10 -5.019252e-05 0.1066395 -0.1269163 0.0005696241 0.08873839 -0.08386716
    > mean 3.636834e-02 0.1327177 -0.1589305 -0.0111570748 0.14302524 -0.18202428
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
    > 1 -0.0050676477 -0.22102320 0.27909619 -0.0002144118 -0.26449953 0.34100500
    > 5 -0.0632993657 -0.23672175 0.42520432 -0.0563771252 -0.46087578 0.51776361
    > 10 -0.0002664535 -0.08062023 0.07956968 0.0000000000 -0.09790502 0.09765522
    > mean -0.0228778223 -0.17945506 0.26129006 -0.0188638457 -0.27442678 0.31880794
    4108c4107
    < d_y1_d_x2 -0.100219066 -0.061157512 0.112253808 0.115877971 -0.079396368
    ---
    > d_y1_d_x2 -0.100219066 -0.061157512 0.112253808 0.115877971 -0.079396369
    4111,4116c4110,4115
    < d_y1_d_x3 0.047695297 0.015446903 0.038487847 0.099155815 0.031303432
    < d_y2_d_x3 0.001310063 0.006872281 -0.005865678 -0.021236090 0.003371377
    < d_y3_d_x3 0.017078006 0.030590345 -0.016413722 -0.035174058 0.017306527
    < d_y1_d_x4 -0.030904446 -0.008674543 -0.026996461 0.040041119 0.137392127
    < d_y2_d_x4 -0.011901591 -0.013603933 0.001643130 0.007081373 -0.033738589
    < d_y3_d_x4 0.011883087 0.010924595 0.001313764 -0.008933595 -0.027308128
    ---
    > d_y1_d_x3 0.047629319 0.015556075 0.038491027 0.099185999 0.031405029
    > d_y2_d_x3 0.002039572 0.006953697 -0.005428991 -0.020750368 0.003380629
    > d_y3_d_x3 0.017258417 0.030808689 -0.016457206 -0.035074138 0.017452706
    > d_y1_d_x4 -0.030613243 -0.008652338 -0.026998542 0.039973117 0.137363678
    > d_y2_d_x4 -0.011825726 -0.013396691 0.001613524 0.007203497 -0.033716385
    > d_y3_d_x4 0.012071825 0.011087427 0.001258253 -0.008859580 -0.026960258
    4119,4120c4118,4119
    < d_y2_d_x1 0.023522821 0.290689624 -0.069768967 0.153787542 -0.041139311
    < d_y3_d_x1 0.007929838 0.017559475 -0.003702010 0.003431482 0.003660021
    ---
    > d_y2_d_x1 0.023522821 0.290689624 -0.069768968 0.153787542 -0.041139311
    > d_y3_d_x1 0.007929838 0.017559475 -0.003702010 0.003431481 0.003660021
    4122,4129c4121,4128
    < d_y2_d_x2 -0.018216739 -0.037701971 0.293766966 0.105479788 -0.058368483
    < d_y3_d_x2 0.003442253 0.006505768 0.027675206 0.007330443 0.001214341
    < d_y1_d_x3 0.002489155 0.006696495 -0.004595919 -0.021093457 0.003566418
    < d_y2_d_x3 0.023757848 0.017837583 0.081457063 0.094569047 0.078208736
    < d_y3_d_x3 -0.007036038 -0.012438199 0.008843852 0.011393074 -0.005309642
    < d_y1_d_x4 0.011792188 0.010621134 0.001156251 -0.007999619 -0.012484255
    < d_y2_d_x4 0.025901503 0.020901799 0.105796853 -0.252159404 0.387858051
    < d_y3_d_x4 -0.007597626 -0.012330877 0.008789266 -0.006898186 0.012566210
    ---
    > d_y2_d_x2 -0.018216738 -0.037701971 0.293766966 0.105479788 -0.058368483
    > d_y3_d_x2 0.003442253 0.006505768 0.027675206 0.007330444 0.001214341
    > d_y1_d_x3 0.002574966 0.006940744 -0.004600776 -0.020806649 0.003624416
    > d_y2_d_x3 0.023745820 0.017907897 0.081327537 0.094373833 0.078080135
    > d_y3_d_x3 -0.007085998 -0.012493710 0.008849403 0.011573486 -0.005212497
    > d_y1_d_x4 0.012029960 0.010828375 0.001149775 -0.007823834 -0.012320729
    > d_y2_d_x4 0.026312286 0.021183055 0.105752444 -0.252525778 0.388068994
    > d_y3_d_x4 -0.007531013 -0.012316074 0.008722652 -0.006620630 0.012658728
    4131c4130
    < d_y1_d_x1 -0.032128318 -0.052084799 -0.007752257 0.024026873 -0.023661071
    ---
    > d_y1_d_x1 -0.032128318 -0.052084800 -0.007752257 0.024026873 -0.023661072
    4137,4142c4136,4141
    < d_y1_d_x3 -0.019967303 -0.011766514 -0.009541268 -0.025643751 -0.014364089
    < d_y2_d_x3 0.006285713 0.001321165 0.008219351 0.008527020 0.005760207
    < d_y3_d_x3 -0.040521290 -0.049312406 0.080877897 0.109040738 0.021536476
    < d_y1_d_x4 -0.007893454 -0.011183647 0.003901277 0.002011585 -0.052127716
    < d_y2_d_x4 0.014751163 0.010613732 0.008245256 -0.020474363 0.035998101
    < d_y3_d_x4 -0.069803422 -0.085220719 0.095220128 -0.148285088 0.256423770
    ---
    > d_y1_d_x3 -0.019841767 -0.011679546 -0.009535197 -0.025826533 -0.014443828
    > d_y2_d_x3 0.006520247 0.001276756 0.008600528 0.008470583 0.005966986
    > d_y3_d_x3 -0.040324225 -0.048942332 0.080793705 0.109237802 0.021583661
    > d_y1_d_x4 -0.007944571 -0.011309472 0.003912611 0.002159384 -0.052158016
    > d_y2_d_x4 0.014845532 0.010554520 0.008348877 -0.020448458 0.036159083
    > d_y3_d_x4 -0.069814525 -0.085161507 0.095149814 -0.148059343 0.256405266
    4150,4155c4149,4154
    < d_y1_d_x3 0.13569805 -0.097824931 -0.02298046
    < d_y2_d_x3 -0.12811419 -0.006914376 -0.17939400
    < d_y3_d_x3 -0.07809586 -0.166267000 0.26144549
    < d_y1_d_x4 0.12103883 -0.139782399 -0.01880810
    < d_y2_d_x4 0.09788466 0.058466195 -0.27436016
    < d_y3_d_x4 -0.03811396 0.042218081 0.31919282
    ---
    > d_y1_d_x3 0.13554198 -0.097874428 -0.02287782
    > d_y2_d_x3 -0.12803138 -0.007308506 -0.17945506
    > d_y3_d_x3 -0.07836787 -0.165979267 0.26129006
    > d_y1_d_x4 0.12126388 -0.139565905 -0.01886385
    > d_y2_d_x4 0.09796423 0.058369976 -0.27442678
    > d_y3_d_x4 -0.03837301 0.042303198 0.31880794
    4161,4162c4160,4161
    < 3: d_y1_d_x1 0.001391671 0.008532019 0.1631116 0.8704305
    < 3: d_y2_d_x1 0.231969590 0.513273327 0.4519416 0.6513110
    ---
    > 3: d_y1_d_x1 0.001391671 0.008532018 0.1631116 0.8704305
    > 3: d_y2_d_x1 0.231969590 0.513273328 0.4519416 0.6513110
    4167,4172c4166,4171
    < 3: d_y1_d_x3 0.005969436 0.031474867 0.1896572 0.8495777
    < 3: d_y2_d_x3 -0.149187187 0.299850754 -0.4975381 0.6188096
    < 3: d_y3_d_x3 0.148226127 0.278514358 0.5322028 0.5945855
    < 3: d_y1_d_x4 -0.004569508 0.023046766 -0.1982711 0.8428330
    < 3: d_y2_d_x4 -0.199201826 0.550816062 -0.3616485 0.7176147
    < 3: d_y3_d_x4 0.165548888 0.459843246 0.3600116 0.7188385
    ---
    > 3: d_y1_d_x3 0.005969436 0.031913720 0.1870492 0.8516221
    > 3: d_y2_d_x3 -0.149187187 0.299756283 -0.4976949 0.6186991
    > 3: d_y3_d_x3 0.148226127 0.278394567 0.5324318 0.5944269
    > 3: d_y1_d_x4 -0.004569508 0.023761745 -0.1923052 0.8475031
    > 3: d_y2_d_x4 -0.199201826 0.550661621 -0.3617500 0.7175389
    > 3: d_y3_d_x4 0.165548888 0.459593604 0.3602071 0.7186923
    4179,4184c4178,4183
    < mean: d_y1_d_x3 0.198101158 0.212932492 0.9303472 0.3521913
    < mean: d_y2_d_x3 -0.352687253 0.268293554 -1.3145573 0.1886587
    < mean: d_y3_d_x3 0.208142914 0.358524813 0.5805537 0.5615413
    < mean: d_y1_d_x4 -0.145117866 0.245314671 -0.5915580 0.5541466
    < mean: d_y2_d_x4 -0.414040020 0.564112871 -0.7339666 0.4629691
    < mean: d_y3_d_x4 0.307681615 0.464373792 0.6625732 0.5076040
    ---
    > mean: d_y1_d_x3 0.198101158 0.212859941 0.9306643 0.3520272
    > mean: d_y2_d_x3 -0.352687254 0.268143028 -1.3152953 0.1884107
    > mean: d_y3_d_x3 0.208142914 0.358342432 0.5808492 0.5613421
    > mean: d_y1_d_x4 -0.145117866 0.245264670 -0.5916786 0.5540658
    > mean: d_y2_d_x4 -0.414040021 0.564484958 -0.7334828 0.4632640
    > mean: d_y3_d_x4 0.307681615 0.464015057 0.6630854 0.5072759
    Running 'mvProbitTest5.R'
    Comparing 'mvProbitTest5.Rout' to 'mvProbitTest5.Rout.save' ...161c161
    < [1,] 0.829645430 0.000000000 1.015553869 -0.885915058 0.07479024
    ---
    > [1,] 0.829645431 0.000000000 1.015553870 -0.885915058 0.07479024
    164,166c164,166
    < [4,] 0.033934780 0.033934780 0.003755994 -0.024734763 1.25977164
    < [5,] 0.003771511 0.003771511 -0.002096361 -0.002357342 1.78318473
    < [6,] 0.229643929 0.229643929 0.410353754 -0.387338879 0.03712902
    ---
    > [4,] 0.033934780 0.033934780 0.003755994 -0.024734764 1.25977164
    > [5,] 0.003771511 0.003771511 -0.002096361 -0.002357343 1.78318473
    > [6,] 0.229643929 0.229643929 0.410353753 -0.387338879 0.03712902
    169c169
    < [9,] 0.415106227 0.000000000 0.291137202 -0.472447730 0.17791536
    ---
    > [9,] 0.415106227 0.000000000 0.291137202 -0.472447729 0.17791536
    172c172
    < [1,] 0.00000000 0.091549368 -0.079862789 -7.296645e-02 0.00000000
    ---
    > [1,] 0.00000000 0.091549369 -0.079862789 -7.296645e-02 0.00000000
    175c175
    < [4,] 1.25977164 0.139434946 -0.918236498 8.198403e-01 0.81984027
    ---
    > [4,] 1.25977164 0.139434946 -0.918236497 8.198403e-01 0.81984027
    177,178c177,178
    < [6,] 0.03712902 0.066346341 -0.062625277 -2.293428e-02 -0.02293428
    < [7,] -0.05339755 -0.026583998 -0.044735779 2.517569e-01 0.25175691
    ---
    > [6,] 0.03712902 0.066346340 -0.062625276 -2.293428e-02 -0.02293428
    > [7,] -0.05339755 -0.026583998 -0.044735780 2.517569e-01 0.25175691
    181c181
    < [10,] 0.00000000 0.002672837 -0.007088205 8.132162e-06 0.00000000
    ---
    > [10,] 0.00000000 0.002672837 -0.007088205 8.131718e-06 0.00000000
    188c188
    < [6,] -4.098156e-02 3.868309e-02 0.25623136 0.25623136 0.45786317
    ---
    > [6,] -4.098156e-02 3.868309e-02 0.25623135 0.25623135 0.45786317
    190c190
    < [8,] -7.672239e-03 5.983449e-04 -0.17849777 0.00000000 0.35103677
    ---
    > [8,] -7.672239e-03 5.983448e-04 -0.17849777 0.00000000 0.35103677
    192c192
    < [10,] -3.844816e-06 1.019623e-05 2.14880542 0.00000000 -1.01593674
    ---
    > [10,] -3.844606e-06 1.019567e-05 2.14880542 0.00000000 -1.01593674
    196,200c196,200
    < [3,] 0.34229743 -0.235116586 -0.23511659 -0.094228015 0.241230663
    < [4,] 0.45134995 -0.702249682 -0.70224968 -0.077726902 0.511863634
    < [5,] 0.13210494 -1.471345605 -1.47134560 0.817834411 0.919648780
    < [6,] -0.43218371 -0.018413871 -0.01841387 -0.032903989 0.031058554
    < [7,] -0.07168565 0.258283049 0.25828305 0.128586340 0.216386193
    ---
    > [3,] 0.34229743 -0.235116587 -0.23511659 -0.094228015 0.241230664
    > [4,] 0.45134995 -0.702249681 -0.70224968 -0.077726902 0.511863633
    > [5,] 0.13210494 -1.471345604 -1.47134560 0.817834410 0.919648779
    > [6,] -0.43218371 -0.018413872 -0.01841387 -0.032903989 0.031058554
    > [7,] -0.07168565 0.258283049 0.25828305 0.128586339 0.216386192
    205,214c205,214
    < [1,] 0.1253095627 -2.974296e-02 1.686612e-01 -0.317886103 -2.087116e-02
    < [2,] 0.2373436221 2.127181e-01 1.696971e-01 0.246140189 2.225287e-01
    < [3,] -0.4565641536 -3.776616e-01 -6.772429e-02 -0.159090089 1.095589e+00
    < [4,] 0.0932491173 5.409154e-02 -2.715220e-03 -0.032249332 8.408140e-01
    < [5,] 0.0140944274 3.817986e-03 -7.985301e-05 -0.007061590 2.433483e-01
    < [6,] 0.0296043002 -2.598987e-03 1.382853e-01 -0.004564782 -3.868982e-03
    < [7,] 0.0380970112 -1.682981e-02 4.928165e-02 -0.048184360 -3.666963e-02
    < [8,] -0.0008799583 2.860695e-03 -4.381226e-03 0.001581942 -1.288588e-03
    < [9,] 0.1742684002 -4.091158e-02 2.153006e-01 -0.249286492 -8.288659e-02
    < [10,] 0.0098217501 -2.046363e-06 -6.627940e-01 -0.001926264 -5.333511e-06
    ---
    > [1,] 0.1253095627 -2.974296e-02 1.686612e-01 -0.317886104 -0.0208711564
    > [2,] 0.2373436221 2.127181e-01 1.696971e-01 0.246140189 0.2225286910
    > [3,] -0.4565641536 -3.776616e-01 -6.772429e-02 -0.159090089 1.0955888663
    > [4,] 0.0932491169 5.409154e-02 -2.715220e-03 -0.032249332 0.8408139847
    > [5,] 0.0140944278 3.817987e-03 -7.985301e-05 -0.007061590 0.2433483024
    > [6,] 0.0296042997 -2.598987e-03 1.382853e-01 -0.004564782 -0.0038689822
    > [7,] 0.0380970110 -1.682981e-02 4.928165e-02 -0.048184360 -0.0366696286
    > [8,] -0.0008799584 2.860694e-03 -4.381225e-03 0.001581942 -0.0012885881
    > [9,] 0.1742684002 -4.091158e-02 2.153006e-01 -0.249286491 -0.0828865914
    > [10,] 0.0098217501 -2.046363e-06 -6.627940e-01 -0.001926264 -0.0000053344
    216,225c216,225
    < [1,] 0.0003426337 -5.483524e-03 -1.848012e-03 1.008907e-02 -0.032388214
    < [2,] 0.1630178850 8.015298e-01 6.566876e-01 7.021440e-01 0.624207084
    < [3,] 0.4824577493 4.457555e-01 7.163385e-01 1.268289e-01 0.151695655
    < [4,] -0.7549204977 -7.071321e-01 -1.072649e-01 -7.800970e-01 0.559948980
    < [5,] -0.3932874635 -2.331606e+00 -1.072565e-03 -3.269655e-01 0.343980675
    < [6,] 0.0037047387 9.094647e-05 7.130644e-04 -1.813092e-04 -0.003323427
    < [7,] 0.0034465643 -3.419330e-03 -1.683591e-03 2.825673e-02 -0.018517039
    < [8,] 0.0079515950 3.547434e-04 -1.092084e-03 1.220149e-03 -0.002013190
    < [9,] 0.0243839282 -4.164471e-02 -2.133552e-03 6.008647e-02 -0.113067605
    < [10,] -0.0164988196 2.513079e-04 5.699752e-05 -3.418155e-06 0.008852965
    ---
    > [1,] 0.0003426339 -5.483524e-03 -1.848011e-03 1.008907e-02 -0.032388214
    > [2,] 0.1630178854 8.015298e-01 6.566876e-01 7.021440e-01 0.624207085
    > [3,] 0.4824577493 4.457555e-01 7.163385e-01 1.268289e-01 0.151695654
    > [4,] -0.7549204981 -7.071321e-01 -1.072649e-01 -7.800970e-01 0.559948980
    > [5,] -0.3932874630 -2.331606e+00 -1.072564e-03 -3.269655e-01 0.343980675
    > [6,] 0.0037047386 9.094581e-05 7.130642e-04 -1.813092e-04 -0.003323427
    > [7,] 0.0034465639 -3.419331e-03 -1.683592e-03 2.825673e-02 -0.018517040
    > [8,] 0.0079515947 3.547434e-04 -1.092084e-03 1.220149e-03 -0.002013191
    > [9,] 0.0243839280 -4.164471e-02 -2.133552e-03 6.008647e-02 -0.113067605
    > [10,] -0.0164988196 2.513079e-04 5.699752e-05 -3.418155e-06 0.008852964
    246,249c246,249
    < [6,] 0.229644108 0.229644108 0.410354074 -0.387339182 0.03712907
    < [7,] -0.185538931 -0.185538931 -0.092370645 -0.155442113 -0.05339749
    < [8,] 0.195184154 0.000000000 -0.383852506 0.029936002 -0.06607566
    < [9,] 0.415106502 0.000000000 0.291137395 -0.472448042 0.17791552
    ---
    > [6,] 0.229644108 0.229644108 0.410354074 -0.387339181 0.03712907
    > [7,] -0.185538931 -0.185538931 -0.092370646 -0.155442113 -0.05339749
    > [8,] 0.195184154 0.000000000 -0.383852505 0.029936002 -0.06607566
    > [9,] 0.415106501 0.000000000 0.291137394 -0.472448042 0.17791553
    254c254
    < [3,] -1.40881560 -0.564613073 1.445451077 -9.941630e-01 -0.99416299
    ---
    > [3,] -1.40881560 -0.564613073 1.445451077 -9.941630e-01 -0.99416298
    257c257
    < [6,] 0.03712907 0.066346421 -0.062625352 -2.293425e-02 -0.02293425
    ---
    > [6,] 0.03712907 0.066346422 -0.062625353 -2.293425e-02 -0.02293425
    259,260c259,260
    < [8,] 0.00000000 0.129945530 -0.010134230 3.901243e-03 0.00000000
    < [9,] 0.00000000 0.124782103 -0.202492231 -2.095374e-01 0.00000000
    ---
    > [8,] 0.00000000 0.129945531 -0.010134230 3.901242e-03 0.00000000
    > [9,] 0.00000000 0.124782104 -0.202492231 -2.095374e-01 0.00000000
    270c270
    < [8,] -7.672251e-03 5.983458e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
    ---
    > [8,] -7.672250e-03 5.983457e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
    274c274
    < [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096391
    ---
    > [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096387
    276,278c276,278
    < [3,] -0.235116392 -0.23511639 -0.094227938 0.241230464 -0.4565639498
    < [4,] -0.702249320 -0.70224932 -0.077726862 0.511863370 0.0932493380
    < [5,] -1.471345146 -1.47134515 0.817834155 0.919648493 0.0140945038
    ---
    > [3,] -0.235116392 -0.23511639 -0.094227938 0.241230464 -0.4565639489
    > [4,] -0.702249319 -0.70224932 -0.077726862 0.511863369 0.0932493380
    > [5,] -1.471345146 -1.47134515 0.817834155 0.919648493 0.0140945029
    280,283c280,283
    < [7,] 0.258283228 0.25828323 0.128586429 0.216386343 0.0380969798
    < [8,] 0.009751885 0.00000000 -0.019178223 0.001495677 -0.0008799655
    < [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683347
    < [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217585
    ---
    > [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969803
    > [8,] 0.009751885 0.00000000 -0.019178224 0.001495677 -0.0008799655
    > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
    > [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217581
    285,294c285,294
    < [1,] -2.974299e-02 1.686612e-01 -0.317886056 -2.087118e-02 0.0003426261
    < [2,] 2.127180e-01 1.696969e-01 0.246140337 2.225286e-01 0.1630177775
    < [3,] -3.776616e-01 -6.772445e-02 -0.159090153 1.095590e+00 0.4824580828
    < [4,] 5.409158e-02 -2.715237e-03 -0.032249331 8.408146e-01 -0.7549200989
    < [5,] 3.817985e-03 -7.985346e-05 -0.007061574 2.433485e-01 -0.3932870736
    < [6,] -2.598991e-03 1.382852e-01 -0.004564789 -3.868990e-03 0.0037047267
    < [7,] -1.682984e-02 4.928161e-02 -0.048184397 -3.666966e-02 0.0034465550
    < [8,] 2.860690e-03 -4.381243e-03 0.001581939 -1.288592e-03 0.0079515816
    < [9,] -4.091164e-02 2.153005e-01 -0.249286519 -8.288666e-02 0.0243838703
    < [10,] -2.046363e-06 -6.627932e-01 -0.001926266 -5.334844e-06 -0.0164987584
    ---
    > [1,] -2.974299e-02 0.1686612452 -0.317886056 -0.0208711775 0.0003426259
    > [2,] 2.127180e-01 0.1696969316 0.246140337 0.2225285902 0.1630177779
    > [3,] -3.776616e-01 -0.0677244549 -0.159090152 1.0955898788 0.4824580824
    > [4,] 5.409158e-02 -0.0027152378 -0.032249331 0.8408145913 -0.7549200984
    > [5,] 3.817985e-03 -0.0000798539 -0.007061574 0.2433485378 -0.3932870731
    > [6,] -2.598991e-03 0.1382851830 -0.004564789 -0.0038689896 0.0037047264
    > [7,] -1.682984e-02 0.0492816124 -0.048184397 -0.0366696570 0.0034465556
    > [8,] 2.860690e-03 -0.0043812432 0.001581939 -0.0012885915 0.0079515814
    > [9,] -4.091164e-02 0.2153004817 -0.249286519 -0.0828866578 0.0243838705
    > [10,] -2.046363e-06 -0.6627932096 -0.001926267 -0.0000053344 -0.0164987584
    296,305c296,305
    < [1,] -5.483544e-03 -1.847995e-03 1.008905e-02 -0.032388243
    < [2,] 8.015302e-01 6.566873e-01 7.021445e-01 0.624207469
    < [3,] 4.457558e-01 7.163384e-01 1.268288e-01 0.151695541
    < [4,] -7.071316e-01 -1.072652e-01 -7.800969e-01 0.559949039
    < [5,] -2.331604e+00 -1.072568e-03 -3.269652e-01 0.343980942
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    < [7,] -3.419338e-03 -1.683588e-03 2.825669e-02 -0.018517049
    < [8,] 3.547430e-04 -1.092084e-03 1.220151e-03 -0.002013193
    < [9,] -4.164477e-02 -2.133556e-03 6.008642e-02 -0.113067650
    < [10,] 2.513070e-04 5.699885e-05 -3.418155e-06 0.008852989
    ---
    > [1,] -0.0054835436 -1.847995e-03 1.008905e-02 -0.032388242
    > [2,] 0.8015301858 6.566873e-01 7.021445e-01 0.624207469
    > [3,] 0.4457558145 7.163384e-01 1.268288e-01 0.151695541
    > [4,] -0.7071316235 -1.072652e-01 -7.800969e-01 0.559949039
    > [5,] -2.3316036613 -1.072568e-03 -3.269652e-01 0.343980942
    > [6,] 0.0000909457 7.130633e-04 -1.813082e-04 -0.003323434
    > [7,] -0.0034193386 -1.683588e-03 2.825669e-02 -0.018517049
    > [8,] 0.0003547430 -1.092084e-03 1.220151e-03 -0.002013193
    > [9,] -0.0416447714 -2.133556e-03 6.008642e-02 -0.113067650
    > [10,] 0.0002513065 5.699841e-05 -3.418599e-06 0.008852989
    321c321
    < [2,] -0.210843382 0.000000000 -0.075864364 0.045958569 -0.48096627
    ---
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    323c323
    < [4,] 0.033934831 0.033934831 0.003756000 -0.024734801 1.25977208
    ---
    > [4,] 0.033934831 0.033934831 0.003756000 -0.024734800 1.25977208
    325c325
    < [6,] 0.229644108 0.229644108 0.410354075 -0.387339182 0.03712907
    ---
    > [6,] 0.229644108 0.229644108 0.410354074 -0.387339182 0.03712907
    327,328c327,328
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    < [9,] 0.415106502 0.000000000 0.291137395 -0.472448042 0.17791552
    ---
    > [8,] 0.195184154 0.000000000 -0.383852505 0.029936002 -0.06607566
    > [9,] 0.415106501 0.000000000 0.291137394 -0.472448042 0.17791553
    331c331
    < [1,] 0.00000000 0.091549475 -0.079862881 -7.296638e-02 0.00000000
    ---
    > [1,] 0.00000000 0.091549474 -0.079862881 -7.296638e-02 0.00000000
    333c333
    < [3,] -1.40881560 -0.564613074 1.445451077 -9.941630e-01 -0.99416299
    ---
    > [3,] -1.40881560 -0.564613074 1.445451078 -9.941630e-01 -0.99416298
    335c335
    < [5,] 1.78318521 -0.991167689 -1.114560777 1.725899e-01 0.17258986
    ---
    > [5,] 1.78318521 -0.991167690 -1.114560777 1.725899e-01 0.17258986
    338c338
    < [8,] 0.00000000 0.129945530 -0.010134230 3.901243e-03 0.00000000
    ---
    > [8,] 0.00000000 0.129945530 -0.010134230 3.901242e-03 0.00000000
    349c349
    < [8,] -7.672250e-03 5.983459e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
    ---
    > [8,] -7.672250e-03 5.983456e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
    351c351
    < [10,] -3.844480e-06 1.019629e-05 2.1488059 0.0000000 -1.01593697 2.69420491
    ---
    > [10,] -3.844480e-06 1.019629e-05 2.1488059 0.0000000 -1.01593697 2.69420490
    353,357c353,357
    < [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096391
    < [2,] -1.317896170 0.00000000 -0.474197265 0.287268306 0.2373435311
    < [3,] -0.235116392 -0.23511639 -0.094227938 0.241230464 -0.4565639498
    < [4,] -0.702249320 -0.70224932 -0.077726862 0.511863370 0.0932493380
    < [5,] -1.471345146 -1.47134515 0.817834155 0.919648493 0.0140945038
    ---
    > [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096387
    > [2,] -1.317896170 0.00000000 -0.474197265 0.287268305 0.2373435311
    > [3,] -0.235116392 -0.23511639 -0.094227938 0.241230464 -0.4565639489
    > [4,] -0.702249319 -0.70224932 -0.077726861 0.511863370 0.0932493380
    > [5,] -1.471345146 -1.47134514 0.817834156 0.919648493 0.0140945029
    359,362c359,362
    < [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969798
    < [8,] 0.009751885 0.00000000 -0.019178225 0.001495677 -0.0008799655
    < [9,] -0.561014446 0.00000000 -0.393470792 0.638511262 0.1742683347
    < [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217585
    ---
    > [7,] 0.258283228 0.25828323 0.128586428 0.216386342 0.0380969803
    > [8,] 0.009751885 0.00000000 -0.019178224 0.001495677 -0.0008799655
    > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
    > [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217581
    364,373c364,373
    < [1,] -2.974299e-02 1.686612e-01 -0.317886056 -2.087118e-02 0.0003426261
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    < [3,] -3.776616e-01 -6.772445e-02 -0.159090153 1.095590e+00 0.4824580828
    < [4,] 5.409158e-02 -2.715237e-03 -0.032249331 8.408146e-01 -0.7549200989
    < [5,] 3.817985e-03 -7.985346e-05 -0.007061574 2.433485e-01 -0.3932870736
    < [6,] -2.598991e-03 1.382852e-01 -0.004564789 -3.868990e-03 0.0037047267
    < [7,] -1.682984e-02 4.928161e-02 -0.048184397 -3.666966e-02 0.0034465550
    < [8,] 2.860690e-03 -4.381243e-03 0.001581939 -1.288592e-03 0.0079515816
    < [9,] -4.091164e-02 2.153005e-01 -0.249286519 -8.288666e-02 0.0243838703
    < [10,] -2.046363e-06 -6.627932e-01 -0.001926266 -5.334844e-06 -0.0164987584
    ---
    > [1,] -2.974299e-02 0.1686612452 -0.317886056 -0.0208711775 0.0003426259
    > [2,] 2.127180e-01 0.1696969316 0.246140337 0.2225285902 0.1630177779
    > [3,] -3.776616e-01 -0.0677244549 -0.159090152 1.0955898788 0.4824580824
    > [4,] 5.409158e-02 -0.0027152378 -0.032249331 0.8408145913 -0.7549200984
    > [5,] 3.817985e-03 -0.0000798539 -0.007061574 0.2433485378 -0.3932870731
    > [6,] -2.598991e-03 0.1382851830 -0.004564789 -0.0038689896 0.0037047264
    > [7,] -1.682984e-02 0.0492816124 -0.048184397 -0.0366696570 0.0034465556
    > [8,] 2.860690e-03 -0.0043812432 0.001581939 -0.0012885915 0.0079515814
    > [9,] -4.091164e-02 0.2153004817 -0.249286519 -0.0828866578 0.0243838705
    > [10,] -2.046363e-06 -0.6627932096 -0.001926267 -0.0000053344 -0.0164987584
    375,384c375,384
    < [1,] -5.483544e-03 -1.847995e-03 1.008905e-02 -0.032388243
    < [2,] 8.015302e-01 6.566873e-01 7.021445e-01 0.624207469
    < [3,] 4.457558e-01 7.163384e-01 1.268288e-01 0.151695541
    < [4,] -7.071316e-01 -1.072652e-01 -7.800969e-01 0.559949039
    < [5,] -2.331604e+00 -1.072568e-03 -3.269652e-01 0.343980942
    < [6,] 9.094564e-05 7.130632e-04 -1.813083e-04 -0.003323433
    < [7,] -3.419338e-03 -1.683588e-03 2.825669e-02 -0.018517049
    < [8,] 3.547430e-04 -1.092084e-03 1.220151e-03 -0.002013193
    < [9,] -4.164477e-02 -2.133556e-03 6.008642e-02 -0.113067650
    < [10,] 2.513070e-04 5.699885e-05 -3.418155e-06 0.008852989
    ---
    > [1,] -0.0054835436 -1.847995e-03 1.008905e-02 -0.032388242
    > [2,] 0.8015301858 6.566873e-01 7.021445e-01 0.624207469
    > [3,] 0.4457558145 7.163384e-01 1.268288e-01 0.151695541
    > [4,] -0.7071316235 -1.072652e-01 -7.800969e-01 0.559949039
    > [5,] -2.3316036613 -1.072568e-03 -3.269652e-01 0.343980942
    > [6,] 0.0000909457 7.130633e-04 -1.813082e-04 -0.003323434
    > [7,] -0.0034193386 -1.683588e-03 2.825669e-02 -0.018517049
    > [8,] 0.0003547430 -1.092084e-03 1.220151e-03 -0.002013193
    > [9,] -0.0416447714 -2.133556e-03 6.008642e-02 -0.113067650
    > [10,] 0.0002513065 5.699841e-05 -3.418599e-06 0.008852989
    387,396c387,396
    < [1,] -4.308969e-07 NaN -4.299891e-07 -4.304982e-07 -1.151931e-06
    < [2,] 9.457070e-07 NaN 9.458968e-07 9.383489e-07 6.592556e-07
    < [3,] -6.586844e-07 -6.586844e-07 -6.599883e-07 -6.577784e-07 3.653419e-07
    < [4,] -1.504951e-06 -1.504951e-06 -1.573442e-06 -1.514277e-06 -3.528680e-07
    < [5,] -2.001718e-06 -2.001718e-06 -2.165153e-06 -2.097753e-06 -2.697132e-07
    < [6,] -7.805361e-07 -7.805361e-07 -7.815786e-07 -7.813592e-07 -1.212515e-06
    < [7,] 8.290519e-07 8.290519e-07 8.270098e-07 8.281191e-07 1.185125e-06
    < [8,] -7.688862e-07 NaN -7.661315e-07 -7.573188e-07 1.011078e-06
    < [9,] -6.616836e-07 NaN -6.615136e-07 -6.615985e-07 -9.297852e-07
    < [10,] 6.601018e-07 NaN 6.593872e-07 6.592141e-07 1.728187e-06
    ---
    > [1,] -4.300940e-07 NaN -4.296235e-07 -4.296953e-07 -1.154900e-06
    > [2,] 9.414945e-07 NaN 9.379368e-07 9.459054e-07 6.583323e-07
    > [3,] -6.586844e-07 -6.586844e-07 -6.599883e-07 -6.585779e-07 3.653419e-07
    > [4,] -1.491865e-06 -1.491865e-06 -1.560355e-06 -1.483237e-06 -3.532206e-07
    > [5,] -1.766222e-06 -1.766222e-06 -1.835567e-06 -1.980005e-06 -2.692151e-07
    > [6,] -7.812612e-07 -7.812612e-07 -7.822173e-07 -7.836694e-07 -1.230456e-06
    > [7,] 8.269576e-07 8.269576e-07 8.255113e-07 8.268644e-07 1.194481e-06
    > [8,] -7.683174e-07 NaN -7.665630e-07 -7.760043e-07 1.011078e-06
    > [9,] -6.611487e-07 NaN -6.602954e-07 -6.612584e-07 -9.322813e-07
    > [10,] 6.601018e-07 NaN 6.593872e-07 6.583717e-07 1.728187e-06
    398,407c398,407
    < [1,] NaN -1.160532e-06 -1.158931e-06 1.068131e-06 NaN
    < [2,] NaN 6.565430e-07 6.544258e-07 6.760819e-07 NaN
    < [3,] 3.653419e-07 3.647698e-07 3.648103e-07 5.521170e-07 5.521170e-07
    < [4,] -3.528680e-07 -3.526530e-07 -3.525843e-07 -6.039703e-07 -6.039703e-07
    < [5,] -2.697132e-07 -2.690138e-07 -2.689923e-07 -8.980083e-07 -8.980083e-07
    < [6,] -1.212515e-06 -1.212968e-06 -1.207753e-06 1.270735e-06 1.270735e-06
    < [7,] 1.185125e-06 1.187421e-06 1.185432e-06 -7.293971e-07 -7.293971e-07
    < [8,] NaN 1.014002e-06 1.008030e-06 -1.522513e-06 NaN
    < [9,] NaN -9.307055e-07 -9.303487e-07 8.509306e-07 NaN
    < [10,] NaN 1.790046e-06 1.639254e-06 0.000000e+00 NaN
    ---
    > [1,] NaN -1.152713e-06 -1.155963e-06 1.065088e-06 NaN
    > [2,] NaN 6.581858e-07 6.577384e-07 6.754717e-07 NaN
    > [3,] 3.653419e-07 3.647698e-07 3.645031e-07 5.530104e-07 5.530104e-07
    > [4,] -3.532206e-07 -3.533580e-07 -3.532893e-07 -6.034286e-07 -6.034286e-07
    > [5,] -2.692151e-07 -2.692128e-07 -2.695402e-07 -8.980083e-07 -8.980083e-07
    > [6,] -1.230456e-06 -1.223612e-06 -1.219382e-06 1.285258e-06 1.285258e-06
    > [7,] 1.194481e-06 1.193658e-06 1.189188e-06 -7.322635e-07 -7.322635e-07
    > [8,] NaN 1.017590e-06 9.968565e-07 -1.522513e-06 NaN
    > [9,] NaN -9.319535e-07 -9.326933e-07 8.509306e-07 NaN
    > [10,] NaN 1.790046e-06 1.701907e-06 -5.460900e-05 NaN
    409,418c409,418
    < [1,] 1.067450e-06 1.065019e-06 -1.024595e-06 NaN -1.024534e-06
    < [2,] 6.763115e-07 6.753675e-07 9.790726e-07 NaN 9.808638e-07
    < [3,] 5.515824e-07 5.516293e-07 1.001000e-06 1.001000e-06 9.978823e-07
    < [4,] -6.091080e-07 -6.032343e-07 6.411466e-07 6.411466e-07 6.347639e-07
    < [5,] -8.960039e-07 -8.976116e-07 7.501135e-07 7.501135e-07 7.476376e-07
    < [6,] 1.285525e-06 1.291559e-06 -7.350747e-07 -7.350747e-07 -7.339411e-07
    < [7,] -7.272996e-07 -7.309963e-07 1.032821e-06 1.032821e-06 1.029552e-06
    < [8,] -1.407061e-06 -1.751957e-06 7.832308e-07 NaN 7.840696e-07
    < [9,] 8.506433e-07 8.512955e-07 -7.997627e-07 NaN -8.038119e-07
    < [10,] 8.735801e-05 -6.148317e-06 -2.275414e-07 NaN -2.263526e-07
    ---
    > [1,] 1.061921e-06 1.061976e-06 -1.026694e-06 NaN -1.028349e-06
    > [2,] 6.763115e-07 6.781668e-07 9.753405e-07 NaN 9.783756e-07
    > [3,] 5.520291e-07 5.520760e-07 1.001000e-06 1.001000e-06 1.001204e-06
    > [4,] -6.042140e-07 -6.032343e-07 6.411466e-07 6.404294e-07 6.347639e-07
    > [5,] -9.006331e-07 -9.017283e-07 7.480124e-07 7.480124e-07 7.493166e-07
    > [6,] 1.296850e-06 1.298821e-06 -7.363746e-07 -7.363746e-07 -7.348772e-07
    > [7,] -7.299474e-07 -7.316221e-07 1.034119e-06 1.034119e-06 1.035408e-06
    > [8,] -1.503409e-06 -1.366346e-06 7.826088e-07 NaN 7.846073e-07
    > [9,] 8.521543e-07 8.512955e-07 -8.024168e-07 NaN -8.025505e-07
    > [10,] 3.274424e-05 -6.075698e-05 -2.273347e-07 NaN -2.272269e-07
    420,429c420,429
    < [1,] -1.025264e-06 5.930994e-07 NaN 5.932147e-07 5.922668e-07
    < [2,] 9.757843e-07 3.467404e-07 NaN 3.471108e-07 3.456519e-07
    < [3,] 1.001217e-06 8.254081e-07 8.254081e-07 8.215543e-07 8.260299e-07
    < [4,] 6.411362e-07 5.153906e-07 5.160230e-07 5.170176e-07 5.152120e-07
    < [5,] 7.502549e-07 3.120874e-07 3.123892e-07 3.125123e-07 3.117835e-07
    < [6,] -7.338853e-07 1.266149e-06 1.266149e-06 1.229798e-06 1.241455e-06
    < [7,] 1.032382e-06 -6.935583e-07 -6.929136e-07 -6.926723e-07 -6.917131e-07
    < [8,] 7.946165e-07 -1.303548e-06 NaN -1.362286e-06 -1.288476e-06
    < [9,] -7.981821e-07 5.101749e-07 NaN 5.109671e-07 5.107830e-07
    < [10,] -2.275265e-07 -1.432755e-06 NaN -1.649215e-06 -1.406831e-06
    ---
    > [1,] -1.029330e-06 5.930994e-07 NaN 5.936987e-07 5.939315e-07
    > [2,] 9.732962e-07 3.464034e-07 NaN 3.467738e-07 3.468608e-07
    > [3,] 1.001217e-06 8.272969e-07 8.272969e-07 8.234431e-07 8.279187e-07
    > [4,] 6.411362e-07 5.153906e-07 5.153906e-07 5.220987e-07 5.137120e-07
    > [5,] 7.481537e-07 3.117855e-07 3.123892e-07 3.116675e-07 3.114816e-07
    > [6,] -7.347998e-07 1.284237e-06 1.284237e-06 1.247886e-06 1.259543e-06
    > [7,] 1.037426e-06 -6.937733e-07 -6.937733e-07 -6.913716e-07 -6.937723e-07
    > [8,] 7.904802e-07 -1.349087e-06 NaN -1.371885e-06 -1.394012e-06
    > [9,] -7.997367e-07 5.101749e-07 NaN 5.109671e-07 5.104353e-07
    > [10,] -2.270320e-07 -1.432755e-06 NaN -1.649215e-06 -1.406831e-06
    431,440c431,440
    < [1,] -6.095568e-07 -9.182495e-07 -4.673619e-07 1.501783e-07 -1.000049e-06
    < [2,] 3.835718e-07 2.505228e-07 7.824695e-07 -6.044108e-07 4.530126e-07
    < [3,] 4.464587e-07 3.762854e-08 -2.373741e-06 -4.019661e-07 -9.245864e-07
    < [4,] -2.366905e-06 -6.650061e-07 -6.378624e-06 2.754099e-08 -7.214740e-07
    < [5,] -5.419371e-06 4.652603e-07 -5.561302e-06 2.263973e-06 -9.672024e-07
    < [6,] 5.869080e-07 -1.580546e-06 4.973658e-07 -1.617377e-06 -2.109114e-06
    < [7,] 8.232621e-07 -2.282476e-06 7.963697e-07 -7.730300e-07 -7.690191e-07
    < [8,] -8.169291e-06 1.630004e-06 -4.060793e-06 2.087889e-06 -2.800131e-06
    < [9,] 3.758753e-07 -1.546814e-06 3.372430e-07 -1.068865e-07 -8.143839e-07
    < [10,] -8.590819e-07 0.000000e+00 1.244240e-06 -1.383264e-06 -2.497295e-04
    ---
    > [1,] -6.060129e-07 -9.107841e-07 -4.660454e-07 1.508768e-07 -1.010687e-06
    > [2,] 3.835718e-07 2.505228e-07 7.877034e-07 -6.044108e-07 4.530126e-07
    > [3,] 4.484041e-07 3.645265e-08 -2.386855e-06 -3.991747e-07 -9.241810e-07
    > [4,] -2.371668e-06 -6.567961e-07 -6.542178e-06 2.754099e-08 -7.214740e-07
    > [5,] -5.324847e-06 5.815754e-07 -1.112254e-05 2.263973e-06 -9.672024e-07
    > [6,] 5.700320e-07 -1.452394e-06 4.969643e-07 -1.532252e-06 -1.922593e-06
    > [7,] 8.043198e-07 -2.242896e-06 7.963697e-07 -7.695738e-07 -7.765881e-07
    > [8,] -7.980041e-06 1.630004e-06 -4.054458e-06 2.000163e-06 -2.649355e-06
    > [9,] 3.746011e-07 -1.535959e-06 3.382743e-07 -1.095586e-07 -8.009894e-07
    > [10,] -8.138671e-07 0.000000e+00 1.244910e-06 -1.383264e-06 0.000000e+00
    442,451c442,451
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    < [2,] 6.592507e-07 -4.432414e-07 5.538543e-07 -8.247480e-07 -6.161113e-07
    < [3,] -6.912746e-07 -6.983791e-07 5.393507e-08 7.913359e-07 7.465134e-07
    < [4,] 5.282574e-07 6.255029e-07 -3.225141e-06 1.098700e-07 -1.054808e-07
    < [5,] 9.914140e-07 1.099936e-06 -3.312343e-06 9.914973e-07 -7.771992e-07
    < [6,] 3.251500e-06 9.155659e-06 1.712675e-06 4.898719e-06 -1.970948e-06
    < [7,] 2.689747e-06 -2.289061e-06 1.813456e-06 1.328023e-06 -5.156285e-07
    < [8,] 1.696418e-06 1.173620e-06 7.370423e-07 -1.569588e-06 -1.171882e-06
    < [9,] 2.376720e-06 -1.487592e-06 -1.769233e-06 8.536423e-07 -3.986556e-07
    < [10,] 3.714480e-06 3.534237e-06 -2.337359e-05 0.000000e+00 -2.809107e-06
    ---
    > [1,] 2.333042e-05 -3.603868e-06 8.891421e-06 1.804694e-06 -8.569646e-07
    > [2,] 6.592507e-07 -4.421333e-07 5.552068e-07 -8.241156e-07 -6.153998e-07
    > [3,] -6.903541e-07 -6.973828e-07 5.331512e-08 7.913359e-07 7.435859e-07
    > [4,] 5.294339e-07 6.236188e-07 -3.229282e-06 1.098700e-07 -1.054808e-07
    > [5,] 9.914140e-07 1.100127e-06 -3.312344e-06 9.914973e-07 -7.759081e-07
    > [6,] 3.296452e-06 1.220754e-06 1.323430e-06 5.204891e-06 -1.920839e-06
    > [7,] 2.415940e-06 -2.353998e-06 1.945344e-06 1.306413e-06 -4.976415e-07
    > [8,] 1.675475e-06 1.173620e-06 4.066439e-07 -1.478598e-06 -1.158095e-06
    > [9,] 2.358508e-06 -1.476929e-06 -1.769233e-06 8.573377e-07 -3.986556e-07
    > [10,] 3.714480e-06 5.301365e-06 -1.558251e-05 -1.299039e-04 -2.859270e-06
    453c453
    < [1] -2.497295e-04 8.735801e-05
    ---
    > [1] -1.299039e-04 3.274424e-05
    456,465c456,465
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    < [7,] -1.538214e-07 -1.538214e-07 -7.639143e-08 -1.287246e-07 -6.328271e-08
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    < [9,] -2.746692e-07 0.000000e+00 -1.925913e-07 3.125709e-07 -1.654232e-07
    < [10,] -2.775558e-07 0.000000e+00 1.310839e-07 -3.475355e-07 -9.769963e-09
    ---
    > [1,] -3.568257e-07 0.000000e+00 -4.363060e-07 3.806737e-07 -8.637535e-08
    > [2,] -1.985079e-07 0.000000e+00 -7.115598e-08 4.347246e-08 -3.166356e-07
    > [3,] -3.566036e-07 -3.566036e-07 -1.431995e-07 3.658178e-07 -5.146994e-07
    > [4,] -5.062617e-08 -5.062617e-08 -5.860693e-09 3.668757e-08 -4.449774e-07
    > [5,] -6.661338e-09 -6.661338e-09 3.848019e-09 4.667559e-09 -4.800604e-07
    > [6,] -1.794120e-07 -1.794120e-07 -3.209860e-07 3.035459e-07 -4.568568e-08
    > [7,] -1.534328e-07 -1.534328e-07 -7.625301e-08 -1.285295e-07 -6.378231e-08
    > [8,] -1.499634e-07 0.000000e+00 2.942471e-07 -2.323047e-08 -6.680767e-08
    > [9,] -2.744471e-07 0.000000e+00 -1.922367e-07 3.124102e-07 -1.658673e-07
    > [10,] -2.775558e-07 0.000000e+00 1.310839e-07 -3.470914e-07 -9.769963e-09
    467,476c467,476
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    < [3,] -5.146994e-07 -2.059538e-07 5.273154e-07 -5.488943e-07 -5.488943e-07
    < [4,] -4.445333e-07 -4.917216e-08 3.237559e-07 -4.951595e-07 -4.951595e-07
    < [5,] -4.809486e-07 2.666378e-07 2.998083e-07 -1.549871e-07 -1.549871e-07
    < [6,] -4.501954e-08 -8.047609e-08 7.563593e-08 -2.914335e-08 -2.914335e-08
    < [7,] -6.328271e-08 -3.156636e-08 -5.303118e-08 -1.836309e-07 -1.836309e-07
    < [8,] 0.000000e+00 1.317650e-07 -1.021561e-08 -5.939693e-09 0.000000e+00
    < [9,] 0.000000e+00 -1.161354e-07 1.883884e-07 -1.783018e-07 0.000000e+00
    < [10,] 0.000000e+00 4.784493e-09 -1.161935e-08 0.000000e+00 0.000000e+00
    ---
    > [1,] 0.000000e+00 -1.055302e-07 9.231850e-08 -7.771561e-08 0.000000e+00
    > [2,] 0.000000e+00 -1.139045e-07 6.895637e-08 -4.916068e-07 0.000000e+00
    > [3,] -5.146994e-07 -2.059538e-07 5.268713e-07 -5.497824e-07 -5.497824e-07
    > [4,] -4.449774e-07 -4.927047e-08 3.244033e-07 -4.947154e-07 -4.947154e-07
    > [5,] -4.800604e-07 2.668350e-07 3.004189e-07 -1.549871e-07 -1.549871e-07
    > [6,] -4.568568e-08 -8.118228e-08 7.636425e-08 -2.947642e-08 -2.947642e-08
    > [7,] -6.378231e-08 -3.173218e-08 -5.319920e-08 -1.843525e-07 -1.843525e-07
    > [8,] 0.000000e+00 1.322313e-07 -1.010237e-08 -5.939693e-09 0.000000e+00
    > [9,] 0.000000e+00 -1.162911e-07 1.888631e-07 -1.783018e-07 0.000000e+00
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    478,487c478,487
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    < [5,] 8.595594e-08 9.683025e-08 -1.585398e-07 -1.585398e-07 8.783210e-08
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    < [7,] -9.115783e-08 -1.541809e-07 -8.837375e-08 -8.837375e-08 -4.385767e-08
    < [8,] 1.079532e-08 -1.048276e-09 -1.398048e-07 0.000000e+00 2.752371e-07
    < [9,] -1.250108e-07 2.030189e-07 -2.007283e-07 0.000000e+00 -1.414948e-07
    < [10,] -3.358462e-10 -6.269002e-11 -4.889422e-07 0.000000e+00 2.299600e-07
    ---
    > [1,] -9.484742e-08 8.274412e-08 -1.085798e-07 0.000000e+00 -1.331248e-07
    > [2,] -1.771068e-07 1.075855e-07 -3.481659e-07 0.000000e+00 -1.256648e-07
    > [3,] -2.199461e-07 5.631261e-07 -3.339551e-07 -3.339551e-07 -1.338669e-07
    > [4,] -5.482771e-08 3.604776e-07 -3.970158e-07 -3.965717e-07 -4.350533e-08
    > [5,] 8.640003e-08 9.727434e-08 -1.580958e-07 -1.580958e-07 8.802935e-08
    > [6,] -5.314686e-08 5.024234e-08 -1.886824e-07 -1.886824e-07 -3.364735e-07
    > [7,] -9.148970e-08 -1.543129e-07 -8.848478e-08 -8.848478e-08 -4.410711e-08
    > [8,] 1.153453e-08 -8.175470e-10 -1.396938e-07 0.000000e+00 2.754258e-07
    > [9,] -1.252329e-07 2.030189e-07 -2.013945e-07 0.000000e+00 -1.412727e-07
    > [10,] -1.258846e-10 -6.194957e-10 -4.884981e-07 0.000000e+00 2.308482e-07
    489,498c489,498
    < [1,] 1.157826e-07 -2.222666e-07 0.000000e+00 -2.721254e-07 2.370084e-07
    < [2,] 7.592598e-08 -4.569678e-07 0.000000e+00 -1.645990e-07 9.929484e-08
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    < [6,] 3.171735e-07 -2.331468e-08 -2.331468e-08 -4.046521e-08 3.855775e-08
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    < [9,] 2.280048e-07 -2.862155e-07 0.000000e+00 -2.010506e-07 3.261407e-07
    < [10,] -6.130029e-07 -5.329071e-09 0.000000e+00 2.900190e-09 -6.560772e-09
    ---
    > [1,] 1.162417e-07 -2.222666e-07 0.000000e+00 -2.723475e-07 2.376746e-07
    > [2,] 7.573238e-08 -4.565237e-07 0.000000e+00 -1.644392e-07 9.964213e-08
    > [3,] 3.427136e-07 -1.945111e-07 -1.945111e-07 -7.759135e-08 1.997192e-07
    > [4,] 2.893766e-07 -3.619327e-07 -3.619327e-07 -4.058109e-08 2.629504e-07
    > [5,] 9.883473e-08 -4.587442e-07 -4.596323e-07 2.548923e-07 2.864536e-07
    > [6,] 3.175688e-07 -2.364775e-08 -2.364775e-08 -4.106037e-08 3.911954e-08
    > [7,] -7.436848e-08 -1.791900e-07 -1.791900e-07 -8.890101e-08 -1.501228e-07
    > [8,] -2.164077e-08 -1.315614e-08 0.000000e+00 2.631032e-08 -2.084992e-09
    > [9,] 2.284489e-07 -2.862155e-07 0.000000e+00 -2.010506e-07 3.259187e-07
    > [10,] -6.116706e-07 -5.329071e-09 0.000000e+00 2.900190e-09 -6.560772e-09
    500,509c500,509
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    < [3,] -2.038369e-07 -1.421085e-08 1.607603e-07 6.394885e-08 -1.012967e-06
    < [4,] -2.207123e-07 -3.597123e-08 1.731948e-08 -8.881784e-10 -6.066259e-07
    < [5,] -7.638334e-08 1.776357e-09 4.440892e-10 -1.598721e-08 -2.353673e-07
    < [6,] 1.737499e-08 4.107825e-09 6.877832e-08 7.382983e-09 8.160139e-09
    < [7,] 3.136380e-08 3.841372e-08 3.924638e-08 3.724798e-08 2.819966e-08
    < [8,] 7.188694e-09 4.662937e-09 1.779132e-08 3.302913e-09 3.608225e-09
    < [9,] 6.550316e-08 6.328271e-08 7.260859e-08 2.664535e-08 6.750156e-08
    < [10,] -8.437695e-09 0.000000e+00 -8.246737e-07 2.664535e-09 1.332268e-09
    ---
    > [1,] -7.593925e-08 2.708944e-08 -7.860379e-08 -4.796163e-08 2.109424e-08
    > [2,] 9.103829e-08 5.329071e-08 1.336709e-07 -1.487699e-07 1.008083e-07
    > [3,] -2.047251e-07 -1.376677e-08 1.616485e-07 6.350476e-08 -1.012523e-06
    > [4,] -2.211564e-07 -3.552714e-08 1.776357e-08 -8.881784e-10 -6.066259e-07
    > [5,] -7.505108e-08 2.220446e-09 8.881784e-10 -1.598721e-08 -2.353673e-07
    > [6,] 1.687539e-08 3.774758e-09 6.872281e-08 6.994405e-09 7.438494e-09
    > [7,] 3.064216e-08 3.774758e-08 3.924638e-08 3.708145e-08 2.847722e-08
    > [8,] 7.022161e-09 4.662937e-09 1.776357e-08 3.164136e-09 3.413936e-09
    > [9,] 6.528111e-08 6.283862e-08 7.283063e-08 2.731149e-08 6.639134e-08
    > [10,] -7.993606e-09 0.000000e+00 -8.251178e-07 2.664535e-09 0.000000e+00
    511,520c511,520
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    < [7,] 9.270362e-09 7.827072e-09 -3.053113e-09 3.752554e-08 9.547918e-09
    < [8,] 1.348921e-08 4.163336e-10 -8.049117e-10 -1.915135e-09 2.359224e-09
    < [9,] 5.795364e-08 6.195044e-08 3.774758e-09 5.129230e-08 4.507505e-08
    < [10,] -6.128431e-08 8.881784e-10 -1.332268e-09 0.000000e+00 -2.486900e-08
    ---
    > [1,] 7.993606e-09 1.976197e-08 -1.643130e-08 1.820766e-08 2.775558e-08
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    > [5,] -3.899103e-07 -2.565059e-06 3.552714e-09 -3.241851e-07 -2.668976e-07
    > [6,] 1.221245e-08 1.110223e-10 9.436896e-10 -9.436896e-10 6.383782e-09
    > [7,] 8.326673e-09 8.049117e-09 -3.275158e-09 3.691492e-08 9.214851e-09
    > [8,] 1.332268e-08 4.163336e-10 -4.440892e-10 -1.804112e-09 2.331468e-09
    > [9,] 5.750955e-08 6.150636e-08 3.774758e-09 5.151435e-08 4.507505e-08
    > [10,] -6.128431e-08 1.332268e-09 -8.881784e-10 4.440892e-10 -2.531308e-08
    522c522
    < [1] -2.564615e-06 5.626705e-07
    ---
    > [1] -2.565059e-06 5.631261e-07
    525,534c525,534
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    < [2,] 0 NaN 1.898410e-10 -7.358101e-09 0 NaN -2.712556e-09
    < [3,] 0 0 -1.303964e-09 9.059751e-10 0 0 -5.720954e-10
    < [4,] 0 0 -6.849076e-08 -9.326371e-09 0 0 2.150822e-10
    < [5,] 0 0 -1.634348e-07 -9.603490e-08 0 0 6.994256e-10
    < [6,] 0 0 -1.042503e-09 -8.231177e-10 0 0 -4.533809e-10
    < [7,] 0 0 -2.042075e-09 -9.328164e-10 0 0 2.295772e-09
    < [8,] 0 NaN 2.754643e-09 1.156739e-08 0 NaN 2.923735e-09
    < [9,] 0 NaN 1.700289e-10 8.510925e-11 0 NaN -9.202614e-10
    < [10,] 0 NaN -7.146121e-10 -8.877534e-10 0 NaN 6.185886e-08
    ---
    > [1,] 0 NaN 4.705147e-10 3.986864e-10 0 NaN 2.187332e-09
    > [2,] 0 NaN -3.557633e-09 4.410967e-09 0 NaN -1.464314e-10
    > [3,] 0 0 -1.303964e-09 1.064857e-10 0 0 -5.720951e-10
    > [4,] 0 0 -6.849076e-08 8.627653e-09 0 0 -1.374334e-10
    > [5,] 0 0 -6.934523e-08 -2.137830e-07 0 0 2.336353e-12
    > [6,] 0 0 -9.560260e-10 -2.408183e-09 0 0 6.843762e-09
    > [7,] 0 0 -1.446281e-09 -9.317958e-11 0 0 -8.229785e-10
    > [8,] 0 NaN 1.754401e-09 -7.686899e-09 0 NaN 6.512050e-09
    > [9,] 0 NaN 8.533383e-10 -1.096585e-10 0 NaN 3.277723e-10
    > [10,] 0 NaN -7.146121e-10 -1.730113e-09 0 NaN 6.185886e-08
    536,545c536,545
    < [1,] -7.000306e-09 0 NaN -6.807009e-10 -3.111713e-09 0 NaN
    < [2,] -4.829741e-09 0 NaN 2.296505e-10 -7.143577e-10 0 NaN
    < [3,] -5.316291e-10 0 0 -5.345975e-10 -4.877057e-10 0 0
    < [4,] 2.837541e-10 0 0 -5.137668e-09 7.359886e-10 0 0
    < [5,] 7.208749e-10 0 0 2.004394e-09 3.967269e-10 0 0
    < [6,] 4.762163e-09 0 0 1.478967e-08 2.082428e-08 0 0
    < [7,] 3.072951e-10 0 0 2.097508e-09 -1.599200e-09 0 0
    < [8,] -3.048224e-09 0 NaN 1.154525e-07 -2.294441e-07 0 NaN
    < [9,] -5.634351e-10 0 NaN -2.872614e-10 3.648399e-10 0 NaN
    < [10,] -8.893276e-08 0 NaN 8.735801e-05 -6.148317e-06 0 NaN
    ---
    > [1,] -1.062516e-09 0 NaN -3.166734e-09 -3.111712e-09 0 NaN
    > [2,] -5.938087e-10 0 NaN 8.398329e-10 2.695147e-09 0 NaN
    > [3,] -8.388614e-10 0 0 -9.812940e-10 -9.344024e-10 0 0.000000e+00
    > [4,] -6.876144e-11 0 0 -7.853802e-10 1.943112e-10 0 -7.171662e-10
    > [5,] -3.250540e-10 0 0 -2.624787e-09 -3.719958e-09 0 0.000000e+00
    > [6,] 1.107348e-08 0 0 1.159195e-08 1.356294e-08 0 0.000000e+00
    > [7,] -5.293193e-09 0 0 2.316099e-09 6.414085e-10 0 0.000000e+00
    > [8,] -1.422185e-08 0 NaN 1.910423e-08 1.561677e-07 0 NaN
    > [9,] -4.119597e-10 0 NaN 1.223654e-09 3.648402e-10 0 NaN
    > [10,] -2.628080e-08 0 NaN 8.735801e-05 -6.148317e-06 0 NaN
    547,556c547,556
    < [1,] 6.042256e-11 -6.693697e-10 0 NaN 1.152425e-10
    < [2,] 1.791116e-09 -3.288303e-09 0 NaN 3.704022e-10
    < [3,] -3.117799e-09 2.167431e-10 0 0.000000e+00 -3.853798e-09
    < [4,] -6.382649e-09 -1.035605e-11 0 6.323810e-10 1.627019e-09
    < [5,] -2.475911e-09 1.413130e-10 0 3.018252e-10 4.249134e-10
    < [6,] 1.133687e-09 1.189443e-09 0 0.000000e+00 -3.635135e-08
    < [7,] -3.268708e-09 -4.390515e-10 0 6.447707e-10 8.860219e-10
    < [8,] 8.388583e-10 1.138567e-08 0 NaN -5.873729e-08
    < [9,] -4.049219e-09 1.580585e-09 0 NaN 7.922116e-10
    < [10,] 1.188745e-09 1.490319e-11 0 NaN -2.164604e-07
    ---
    > [1,] -1.654805e-09 -2.635592e-09 0 NaN 5.992846e-10
    > [2,] 3.035173e-09 -2.044246e-09 0 NaN 3.704022e-10
    > [3,] 2.035883e-10 2.167428e-10 0 0.000000e+00 -3.853798e-09
    > [4,] -6.382649e-09 -1.035605e-11 0 0.000000e+00 6.708096e-09
    > [5,] 1.304231e-09 1.413134e-10 0 6.036507e-10 -1.180929e-10
    > [6,] 1.497406e-09 1.574773e-09 0 0.000000e+00 -3.635135e-08
    > [7,] 1.289397e-09 3.307185e-09 0 0.000000e+00 2.401622e-09
    > [8,] 1.998476e-09 7.871433e-09 0 NaN -2.279775e-08
    > [9,] -1.337348e-10 2.680031e-09 0 NaN 7.922116e-10
    > [10,] 1.078315e-10 3.027292e-10 0 NaN -2.164604e-07
    558,559c558,559
    < [1,] -8.325640e-10 0 0 0 0 0 0 0 0 0 0
    < [2,] -1.088457e-09 0 0 0 0 0 0 0 0 0 0
    ---
    > [1,] 8.320562e-10 0 0 0 0 0 0 0 0 0 0
    > [2,] 4.574461e-10 0 0 0 0 0 0 0 0 0 0
    561,562c561,562
    < [4,] -1.786344e-10 0 0 0 0 0 0 0 0 0 0
    < [5,] -3.039010e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [4,] -1.678609e-09 0 0 0 0 0 0 0 0 0 0
    > [5,] -3.039007e-10 0 0 0 0 0 0 0 0 0 0
    564,566c564,566
    < [7,] 1.845225e-09 0 0 0 0 0 0 0 0 0 0
    < [8,] 1.507290e-08 0 0 0 0 0 0 0 0 0 0
    < [9,] 6.081315e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [7,] 9.954260e-13 0 0 0 0 0 0 0 0 0 0
    > [8,] -4.492502e-08 0 0 0 0 0 0 0 0 0 0
    > [9,] 2.603782e-10 0 0 0 0 0 0 0 0 0 0
    572,581c572,581
    < [1,] 0 0 9.219225e-10 -3.532022e-10 0 0 -7.874416e-10
    < [2,] 0 0 -1.440217e-11 -3.381678e-10 0 0 4.694304e-10
    < [3,] 0 0 -2.829247e-10 -5.032386e-10 0 0 3.230125e-10
    < [4,] 0 0 -2.572512e-10 2.306859e-10 0 0 2.998998e-11
    < [5,] 0 0 3.426191e-10 2.263876e-10 0 0 -6.932480e-10
    < [6,] 0 0 -4.277953e-10 3.188257e-10 0 0 -3.008020e-11
    < [7,] 0 0 1.886278e-10 1.449990e-10 0 0 -6.103072e-11
    < [8,] 0 0 -1.057376e-09 3.462813e-10 0 0 3.799263e-10
    < [9,] 0 0 4.950174e-11 -4.020967e-11 0 0 -1.148322e-10
    < [10,] 0 0 -1.420624e-10 4.680207e-10 0 0 1.653383e-10
    ---
    > [1,] 0 0 4.778333e-10 -3.532025e-10 0 0 2.002491e-10
    > [2,] 0 0 2.698976e-10 2.027217e-10 0 0 2.534117e-11
    > [3,] 0 0 -2.829246e-10 -5.914924e-11 0 0 3.230124e-10
    > [4,] 0 0 -2.572512e-10 -2.134033e-10 0 0 -1.916303e-11
    > [5,] 0 0 1.453729e-10 5.039608e-10 0 0 -2.315703e-12
    > [6,] 0 0 -3.923092e-10 9.327835e-10 0 0 4.540591e-10
    > [7,] 0 0 1.335939e-10 1.448403e-11 0 0 2.187803e-11
    > [8,] 0 0 -6.734311e-10 -2.301150e-10 0 0 8.462118e-10
    > [9,] 0 0 2.484387e-10 5.180795e-11 0 0 4.090012e-11
    > [10,] 0 0 -1.420624e-10 9.121099e-10 0 0 1.653383e-10
    583,592c583,592
    < [1,] 5.590646e-10 0 0 6.079803e-11 -2.424498e-10 0 0
    < [2,] -5.063432e-10 0 0 -6.013895e-11 -1.133269e-10 0 0
    < [3,] -7.684438e-10 0 0 2.130008e-10 -4.974674e-10 0 0
    < [4,] -2.605535e-10 0 0 -4.662033e-10 -4.398082e-10 0 0
    < [5,] -8.034589e-10 0 0 -1.922867e-10 -4.279709e-11 0 0
    < [6,] -2.982321e-10 0 0 -6.061028e-10 8.055465e-10 0 0
    < [7,] -1.374707e-11 0 0 2.628961e-10 -3.373013e-10 0 0
    < [8,] 3.089140e-11 0 0 -8.857808e-10 -1.372870e-10 0 0
    < [9,] 1.140912e-10 0 0 4.221604e-11 8.700787e-11 0 0
    < [10,] 6.303726e-10 0 0 -3.358462e-10 -6.269002e-11 0 0
    ---
    > [1,] 8.485558e-11 0 0 2.828426e-10 -2.424498e-10 0 0.000000e+00
    > [2,] -6.225406e-11 0 0 -2.199285e-10 4.275626e-10 0 0.000000e+00
    > [3,] -1.212533e-09 0 0 3.909791e-10 -9.531052e-10 0 0.000000e+00
    > [4,] 6.313927e-11 0 0 -7.126713e-11 -1.161155e-10 0 4.440892e-10
    > [5,] 3.622924e-10 0 0 2.518026e-10 4.012921e-10 0 0.000000e+00
    > [6,] -6.934804e-10 0 0 -4.750554e-10 5.246557e-10 0 0.000000e+00
    > [7,] 2.367948e-10 0 0 2.902938e-10 1.352851e-10 0 0.000000e+00
    > [8,] 1.441275e-10 0 0 -1.465724e-10 9.344224e-11 0 0.000000e+00
    > [9,] 8.341863e-11 0 0 -1.798285e-10 8.700790e-11 0 0.000000e+00
    > [10,] 1.862833e-10 0 0 -3.358462e-10 -6.269002e-11 0 0.000000e+00
    594,603c594,603
    < [1,] 7.821993e-12 7.559159e-11 0 0.000000e+00 -5.286521e-11
    < [2,] -2.300549e-10 -2.558635e-10 0 0.000000e+00 -1.756437e-10
    < [3,] 4.168683e-10 7.419049e-11 0 0.000000e+00 3.631355e-10
    < [4,] 4.374527e-10 -4.674205e-12 0 -4.440892e-10 -1.264631e-10
    < [5,] -2.908688e-10 1.866812e-11 0 -4.440892e-10 3.475088e-10
    < [6,] 5.190740e-10 -5.140581e-10 0 0.000000e+00 1.196103e-09
    < [7,] 1.392430e-10 3.147366e-11 0 1.665335e-10 1.139304e-10
    < [8,] 2.944699e-10 -3.117024e-10 0 0.000000e+00 1.126477e-09
    < [9,] -7.127828e-10 -4.515023e-10 0 0.000000e+00 -3.117122e-10
    < [10,] -1.207690e-09 4.015233e-11 0 0.000000e+00 3.806516e-10
    ---
    > [1,] -2.142226e-10 2.976362e-10 0 0.000000e+00 -2.749099e-10
    > [2,] -3.898444e-10 -1.590632e-10 0 0.000000e+00 -1.756437e-10
    > [3,] -2.722095e-11 7.419043e-11 0 0.000000e+00 3.631355e-10
    > [4,] 4.374528e-10 -4.674205e-12 0 0.000000e+00 -5.213993e-10
    > [5,] 1.532205e-10 1.866818e-11 0 -8.881784e-10 -9.658041e-11
    > [6,] 6.856075e-10 -6.805916e-10 0 0.000000e+00 1.196103e-09
    > [7,] -5.492674e-11 -2.370775e-10 0 0.000000e+00 3.088161e-10
    > [8,] 7.015379e-10 -2.154942e-10 0 0.000000e+00 4.372204e-10
    > [9,] -2.354131e-11 -7.655646e-10 0 0.000000e+00 -3.117121e-10
    > [10,] -1.095499e-10 8.156147e-10 0 0.000000e+00 3.806516e-10
    605,606c605,606
    < [1,] -3.331685e-10 0 0 0 0 0 0 0 0 0 0
    < [2,] -3.126793e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [1,] 3.329653e-10 0 0 0 0 0 0 0 0 0 0
    > [2,] 1.314098e-10 0 0 0 0 0 0 0 0 0 0
    608,609c608,609
    < [4,] -9.143641e-11 0 0 0 0 0 0 0 0 0 0
    < [5,] -2.794821e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [4,] -8.592184e-10 0 0 0 0 0 0 0 0 0 0
    > [5,] -2.794818e-10 0 0 0 0 0 0 0 0 0 0
    611,613c611,613
    < [7,] 3.992815e-10 0 0 0 0 0 0 0 0 0 0
    < [8,] 2.254418e-11 0 0 0 0 0 0 0 0 0 0
    < [9,] 3.882988e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [7,] 2.154110e-13 0 0 0 0 0 0 0 0 0 0
    > [8,] -6.719332e-11 0 0 0 0 0 0 0 0 0 0
    > [9,] 1.662543e-10 0 0 0 0 0 0 0 0 0 0
    616c616
    < [1] -1.207690e-09 1.196103e-09
    ---
    > [1] -1.212533e-09 1.196103e-09
    640c640
    < 5 0.18950852 -0.188545546 0.11158058 -0.266847391 -0.1045012 -0.37901705
    ---
    > 5 0.18950852 -0.188545546 0.11158058 -0.266847392 -0.1045012 -0.37901705
    661,667c661,667
    < 1 0.12309248 0 0 0 0 -0.023001698 0
    < 2 0.14156547 0 0 0 0 -0.001011907 0
    < 3 0.09488643 0 0 0 0 -0.064415884 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 0 0 0.052620108 0 0 0
    < 2 0 0 0 -0.005591264 0 0 0
    < 3 0 0 0 -0.048698819 0 0 0
    ---
    > 1 0.12309248 0 0 0 0 -0.023003237 0
    > 2 0.14156547 0 0 0 0 -0.001012744 0
    > 3 0.09488643 0 0 0 0 -0.064428636 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 0 0 0.052617953 0 0 0
    > 2 0 0 0 -0.005592435 0 0 0
    > 3 0 0 0 -0.048716671 0 0 0
    676,677c676,677
    < 1 0 0.1176381 0 0 0 0 -0.03166304
    < 2 0 0.1133502 0 0 0 0 -0.01189510
    ---
    > 1 0 0.1176381 0 0 0 0 -0.03168021
    > 2 0 0.1133502 0 0 0 0 -0.01189367
    680,681c680,681
    < 1 0 0 0 0 0.08674356 0 0
    < 2 0 0 0 0 0.01042345 0 0
    ---
    > 1 0 0 0 0 0.08677789 0 0
    > 2 0 0 0 0 0.01042058 0 0
    695,697c695,697
    < 1 -0.051221283 0 0 0 0 0.02971560 0
    < 2 0.002146052 0 0 0 0 -0.00136582 0
    < 3 -0.029193314 0 0 0 0 -0.03223668 0
    ---
    > 1 -0.051221283 0 0 0 0 0.029715601 0
    > 2 0.002142288 0 0 0 0 -0.001363504 0
    > 3 -0.029217098 0 0 0 0 -0.032222045 0
    710,712c710,712
    < 1 0 -0.03471512 0 0 0 0 0.089992095
    < 2 0 -0.01870062 0 0 0 0 0.009505899
    < 3 0 0.04125406 0 0 0 0 -0.077249440
    ---
    > 1 0 -0.03470616 0 0 0 0 0.089977753
    > 2 0 -0.01871366 0 0 0 0 0.009526769
    > 3 0 0.04125105 0 0 0 0 -0.077244616
    725,731c725,731
    < 1 0 0 0.03511561 0 0 0 0
    < 2 0 0 0.02524119 0 0 0 0
    < 3 0 0 -0.02163920 0 0 0 0
    < d_y5_d_x3
    < 1 -0.08880189
    < 2 -0.03036920
    < 3 0.04571114
    ---
    > 1 0 0 0.03510358 0 0 0 0
    > 2 0 0 0.02524265 0 0 0 0
    > 3 0 0 -0.02164000 0 0 0 0
    > d_y5_d_x3
    > 1 -0.08878299
    > 2 -0.03037149
    > 3 0.04571239
    736,742c736,742
    < 1 -0.023001698 0 0 0 0 0.1165155 0
    < 2 -0.001011907 0 0 0 0 0.1185829 0
    < 3 -0.064415884 0 0 0 0 0.1776519 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 0 0 0.000251195 0 0 0
    < 2 0 0 0 0.027219103 0 0 0
    < 3 0 0 0 0.174198673 0 0 0
    ---
    > 1 -0.023003237 0 0 0 0 0.1165573 0
    > 2 -0.001012744 0 0 0 0 0.1185200 0
    > 3 -0.064428636 0 0 0 0 0.1777924 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 0 0 0.000235136 0 0 0
    > 2 0 0 0 0.027206982 0 0 0
    > 3 0 0 0 0.174373293 0 0 0
    751,752c751,752
    < 1 0 -0.03166304 0 0 0 0 0.03314371
    < 2 0 -0.01189510 0 0 0 0 0.16606413
    ---
    > 1 0 -0.03168021 0 0 0 0 0.03316105
    > 2 0 -0.01189367 0 0 0 0 0.16608926
    755,756c755,756
    < 1 0 0 0 0 -0.04853247 0 0
    < 2 0 0 0 0 -0.01279938 0 0
    ---
    > 1 0 0 0 0 -0.04858668 0 0
    > 2 0 0 0 0 -0.01282327 0 0
    767,768c767,768
    < 2 0 0 0.002146052 0 0 0 0
    < 3 0 0 -0.029193314 0 0 0 0
    ---
    > 2 0 0 0.002142288 0 0 0 0
    > 3 0 0 -0.029217098 0 0 0 0
    771,772c771,772
    < 2 0.12926836 0 0 0 0 0.007376133 0
    < 3 0.14993689 0 0 0 0 0.026118370 0
    ---
    > 2 0.12912357 0 0 0 0 0.007404663 0
    > 3 0.15000018 0 0 0 0 0.026096966 0
    781,787c781,787
    < 1 0 0 0 -0.03471512 0 0 0
    < 2 0 0 0 -0.01870062 0 0 0
    < 3 0 0 0 0.04125406 0 0 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 0.03307393 0 0 0 0 -0.008776580
    < 2 0 0.15572993 0 0 0 0 0.003204856
    < 3 0 0.17293882 0 0 0 0 -0.048976820
    ---
    > 1 0 0 0 -0.03470616 0 0 0
    > 2 0 0 0 -0.01871366 0 0 0
    > 3 0 0 0 0.04125105 0 0 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 0.03304046 0 0 0 0 -0.008752194
    > 2 0 0.15568374 0 0 0 0 0.003243387
    > 3 0 0.17291328 0 0 0 0 -0.048942347
    796,806c796,806
    < 1 0 0 0 0 0.03511561 0 0
    < 2 0 0 0 0 0.02524119 0 0
    < 3 0 0 0 0 -0.02163920 0 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 0 0.06437586 0 0 0 0
    < 2 0 0 0.15865241 0 0 0 0
    < 3 0 0 0.13038105 0 0 0 0
    < d_y5_d_x3
    < 1 -0.01561634
    < 2 -0.08122932
    < 3 -0.05637112
    ---
    > 1 0 0 0 0 0.03510358 0 0
    > 2 0 0 0 0 0.02524265 0 0
    > 3 0 0 0 0 -0.02164000 0 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 0 0.0643694 0 0 0 0
    > 2 0 0 0.1586576 0 0 0 0
    > 3 0 0 0.1303914 0 0 0 0
    > d_y5_d_x3
    > 1 -0.01558895
    > 2 -0.08126162
    > 3 -0.05639616
    811,817c811,817
    < 1 0.052620108 0 0 0 0 0.000251195 0
    < 2 -0.005591264 0 0 0 0 0.027219103 0
    < 3 -0.048698819 0 0 0 0 0.174198673 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 0 0 0.2356416 0 0 0
    < 2 0 0 0 0.2269162 0 0 0
    < 3 0 0 0 0.1995391 0 0 0
    ---
    > 1 0.052617953 0 0 0 0 0.000235136 0
    > 2 -0.005592435 0 0 0 0 0.027206982 0
    > 3 -0.048716671 0 0 0 0 0.174373293 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 0 0 0.2355145 0 0 0
    > 2 0 0 0 0.2270055 0 0 0
    > 3 0 0 0 0.1997526 0 0 0
    826,827c826,827
    < 1 0 0.08674356 0 0 0 0 -0.04853247
    < 2 0 0.01042345 0 0 0 0 -0.01279938
    ---
    > 1 0 0.08677789 0 0 0 0 -0.04858668
    > 2 0 0.01042058 0 0 0 0 -0.01282327
    830,831c830,831
    < 1 0 0 0 0 0.1687576 0 0
    < 2 0 0 0 0 0.1708552 0 0
    ---
    > 1 0 0 0 0 0.1689051 0 0
    > 2 0 0 0 0 0.1708503 0 0
    841,843c841,843
    < 1 0 0 0.02971560 0 0 0 0
    < 2 0 0 -0.00136582 0 0 0 0
    < 3 0 0 -0.03223668 0 0 0 0
    ---
    > 1 0 0 0.029715601 0 0 0 0
    > 2 0 0 -0.001363504 0 0 0 0
    > 3 0 0 -0.032222045 0 0 0 0
    846,847c846,847
    < 2 0.007376133 0 0 0 0 0.13715528 0
    < 3 0.026118370 0 0 0 0 0.12613172 0
    ---
    > 2 0.007404663 0 0 0 0 0.13717500 0
    > 3 0.026096966 0 0 0 0 0.12613410 0
    856,862c856,862
    < 1 0 0 0 0.089992095 0 0 0
    < 2 0 0 0 0.009505899 0 0 0
    < 3 0 0 0 -0.077249440 0 0 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 -0.008776580 0 0 0 0 0.08880051
    < 2 0 0.003204856 0 0 0 0 0.15600012
    < 3 0 -0.048976820 0 0 0 0 0.23821820
    ---
    > 1 0 0 0 0.089977753 0 0 0
    > 2 0 0 0 0.009526769 0 0 0
    > 3 0 0 0 -0.077244616 0 0 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 -0.008752194 0 0 0 0 0.08880815
    > 2 0 0.003243387 0 0 0 0 0.15599507
    > 3 0 -0.048942347 0 0 0 0 0.23817327
    871,881c871,881
    < 1 0 0 0 0 -0.08880189 0 0
    < 2 0 0 0 0 -0.03036920 0 0
    < 3 0 0 0 0 0.04571114 0 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 0 -0.01561634 0 0 0 0
    < 2 0 0 -0.08122932 0 0 0 0
    < 3 0 0 -0.05637112 0 0 0 0
    < d_y5_d_x3
    < 1 0.1666979
    < 2 0.1978334
    < 3 0.1421071
    ---
    > 1 0 0 0 0 -0.08878299 0 0
    > 2 0 0 0 0 -0.03037149 0 0
    > 3 0 0 0 0 0.04571239 0 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 0 -0.01558895 0 0 0 0
    > 2 0 0 -0.08126162 0 0 0 0
    > 3 0 0 -0.05639616 0 0 0 0
    > d_y5_d_x3
    > 1 0.1666277
    > 2 0.1979221
    > 3 0.1421602
    890,891c890,891
    < d_y1_d_x2 -0.08695401 0.000000000 0.000000000 0.00000000 0.0000000000
    < d_y2_d_x2 0.00000000 -0.001373333 0.000000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x2 -0.08694042 0.000000000 0.000000000 0.00000000 0.0000000000
    > d_y2_d_x2 0.00000000 -0.001373386 0.000000000 0.00000000 0.0000000000
    893c893
    < d_y4_d_x2 0.00000000 0.000000000 0.000000000 -0.02173605 0.0000000000
    ---
    > d_y4_d_x2 0.00000000 0.000000000 0.000000000 -0.02173259 0.0000000000
    895,896c895,896
    < d_y1_d_x3 -0.08955986 0.000000000 0.000000000 0.00000000 0.0000000000
    < d_y2_d_x3 0.00000000 0.002626861 0.000000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x3 -0.08954085 0.000000000 0.000000000 0.00000000 0.0000000000
    > d_y2_d_x3 0.00000000 0.002626966 0.000000000 0.00000000 0.0000000000
    898c898
    < d_y4_d_x3 0.00000000 0.000000000 0.000000000 0.02834020 0.0000000000
    ---
    > d_y4_d_x3 0.00000000 0.000000000 0.000000000 0.02833467 0.0000000000
    901,902c901,902
    < d_y1_d_x1 -0.08695401 0.000000000 0.00000000 0.00000000 0.0000000000
    < d_y2_d_x1 0.00000000 -0.001373333 0.00000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x1 -0.08694042 0.000000000 0.00000000 0.00000000 0.0000000000
    > d_y2_d_x1 0.00000000 -0.001373386 0.00000000 0.00000000 0.0000000000
    904c904
    < d_y4_d_x1 0.00000000 0.000000000 0.00000000 -0.02173605 0.0000000000
    ---
    > d_y4_d_x1 0.00000000 0.000000000 0.00000000 -0.02173259 0.0000000000
    906,907c906,907
    < d_y1_d_x2 0.09858856 0.000000000 0.00000000 0.00000000 0.0000000000
    < d_y2_d_x2 0.00000000 0.002857716 0.00000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x2 0.09856437 0.000000000 0.00000000 0.00000000 0.0000000000
    > d_y2_d_x2 0.00000000 0.002857491 0.00000000 0.00000000 0.0000000000
    909c909
    < d_y4_d_x2 0.00000000 0.000000000 0.00000000 0.02870117 0.0000000000
    ---
    > d_y4_d_x2 0.00000000 0.000000000 0.00000000 0.02869167 0.0000000000
    911,912c911,912
    < d_y1_d_x3 0.09464338 0.000000000 0.00000000 0.00000000 0.0000000000
    < d_y2_d_x3 0.00000000 -0.004419614 0.00000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x3 0.09461058 0.000000000 0.00000000 0.00000000 0.0000000000
    > d_y2_d_x3 0.00000000 -0.004419619 0.00000000 0.00000000 0.0000000000
    914c914
    < d_y4_d_x3 0.00000000 0.000000000 0.00000000 -0.01641606 0.0000000000
    ---
    > d_y4_d_x3 0.00000000 0.000000000 0.00000000 -0.01640737 0.0000000000
    917,918c917,918
    < d_y1_d_x1 -0.08955986 0.000000000 0.00000000 0.00000000 0.0000000000
    < d_y2_d_x1 0.00000000 0.002626861 0.00000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x1 -0.08954085 0.000000000 0.00000000 0.00000000 0.0000000000
    > d_y2_d_x1 0.00000000 0.002626966 0.00000000 0.00000000 0.0000000000
    920c920
    < d_y4_d_x1 0.00000000 0.000000000 0.00000000 0.02834020 0.0000000000
    ---
    > d_y4_d_x1 0.00000000 0.000000000 0.00000000 0.02833467 0.0000000000
    922,923c922,923
    < d_y1_d_x2 0.09464338 0.000000000 0.00000000 0.00000000 0.0000000000
    < d_y2_d_x2 0.00000000 -0.004419614 0.00000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x2 0.09461058 0.000000000 0.00000000 0.00000000 0.0000000000
    > d_y2_d_x2 0.00000000 -0.004419619 0.00000000 0.00000000 0.0000000000
    925c925
    < d_y4_d_x2 0.00000000 0.000000000 0.00000000 -0.01641606 0.0000000000
    ---
    > d_y4_d_x2 0.00000000 0.000000000 0.00000000 -0.01640737 0.0000000000
    927,928c927,928
    < d_y1_d_x3 0.09954171 0.000000000 0.00000000 0.00000000 0.0000000000
    < d_y2_d_x3 0.00000000 0.008900257 0.00000000 0.00000000 0.0000000000
    ---
    > d_y1_d_x3 0.09949731 0.000000000 0.00000000 0.00000000 0.0000000000
    > d_y2_d_x3 0.00000000 0.008901177 0.00000000 0.00000000 0.0000000000
    930c930
    < d_y4_d_x3 0.00000000 0.000000000 0.00000000 0.03202713 0.0000000000
    ---
    > d_y4_d_x3 0.00000000 0.000000000 0.00000000 0.03202365 0.0000000000
    936c936
    < 1 -0.07707910 0 0 0 0 -0.05095924 0
    ---
    > 1 -0.07707910 0 0 0 0 -0.05112577 0
    938c938
    < 3 -0.18361795 0 0 0 0 0.20428104 0
    ---
    > 3 -0.18361795 0 0 0 0 0.20439206 0
    940c940
    < 1 0 0 0 -0.07134293 0 0 0
    ---
    > 1 0 0 0 -0.07157608 0 0 0
    942c942
    < 3 0 0 0 0.28599345 0 0 0
    ---
    > 3 0 0 0 0.28614888 0 0 0
    951,953c951,953
    < 1 0.3185510 0 0 0 0 0.000000 0
    < 2 0.3758473 0 0 0 0 0.000000 0
    < 3 0.1423506 0 0 0 0 0.204281 0
    ---
    > 1 0.3185510 0 0 0 0 0.0000000 0
    > 2 0.3758473 0 0 0 0 0.0000000 0
    > 3 0.1423506 0 0 0 0 0.2043921 0
    957c957
    < 3 0 0 0 0.2859935 0 0 0
    ---
    > 3 0 0 0 0.2861489 0 0 0
    966,972c966,972
    < 1 -0.094351126 0 0 0 0 0.3330690 0
    < 2 0.005784985 0 0 0 0 0.3009833 0
    < 3 -0.073588833 0 0 0 0 0.2241741 0
    < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    < 1 0 0 0 -0.08758549 0 0 0
    < 2 0 0 0 -0.08230083 0 0 0
    < 3 0 0 0 0.11455281 0 0 0
    ---
    > 1 -0.094351126 0 0 0 0 0.3331245 0
    > 2 0.005784985 0 0 0 0 0.3008723 0
    > 3 -0.073588833 0 0 0 0 0.2242851 0
    > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
    > 1 0 0 0 -0.08750778 0 0 0
    > 2 0 0 0 -0.08245626 0 0 0
    > 3 0 0 0 0.11470824 0 0 0
    981,982c981,982
    < 1 0.082306893 0 0 0 0 0.05462297 0
    < 2 -0.003504539 0 0 0 0 0.03558265 0
    ---
    > 1 0.082306893 0 0 0 0 0.05451195 0
    > 2 -0.003504539 0 0 0 0 0.03563816 0
    985,986c985,986
    < 1 0 0 0 0.4721022 0 0 0
    < 2 0 0 0 0.4095853 0 0 0
    ---
    > 1 0 0 0 0.4719468 0 0 0
    > 2 0 0 0 0.4096631 0 0 0
    996,997c996,997
    < 1 0 0.11586074 0 0 0 0 -0.12436718
    < 2 0 -0.06729360 0 0 0 0 0.02914335
    ---
    > 1 0 0.11586074 0 0 0 0 -0.12443380
    > 2 0 -0.06729360 0 0 0 0 0.02911005
    1000,1002c1000,1002
    < 1 0 0 0 0 0.24873437 0 0
    < 2 0 0 0 0 -0.05828671 0 0
    < 3 0 0 0 0 0.16573409 0 0
    ---
    > 1 0 0 0 0 0.2488676 0 0
    > 2 0 0 0 0 -0.0582201 0 0
    > 3 0 0 0 0 0.1657341 0 0
    1026,1027c1026,1027
    < 1 0 0.14182302 0 0 0 0 -0.005785779
    < 2 0 -0.02421317 0 0 0 0 0.406416441
    ---
    > 1 0 0.14182302 0 0 0 0 -0.005852393
    > 2 0 -0.02421317 0 0 0 0 0.406449748
    1030,1031c1030,1031
    < 1 0 0 0 0 0.30442315 0 0
    < 2 0 0 0 0 -0.02091660 0 0
    ---
    > 1 0 0 0 0 0.30455638 0 0
    > 2 0 0 0 0 -0.02098322 0 0
    1061c1061
    < 2 -0.16742163 0 0 0 0 0.10302870 0
    ---
    > 2 -0.16727730 0 0 0 0 0.10293988 0
    1077c1077
    < 3 -0.07266965 0 0 0 0 0.04471978 0
    ---
    > 3 -0.07274181 0 0 0 0 0.04476419 0
    1091,1092c1091,1092
    < 2 0.31607751 0 0 0 0 0.03703704 0
    < 3 0.36572458 0 0 0 0 0.01798561 0
    ---
    > 2 0.31593318 0 0 0 0 0.03712586 0
    > 3 0.36579674 0 0 0 0 0.01794120 0
    1106c1106
    < 2 0.03651524 0 0 0 0 0.35379179 0
    ---
    > 2 0.03644307 0 0 0 0 0.35383620 0
    1120,1122c1120,1122
    < 1 0 -0.11785017 0 0 0 0 0.1885603
    < 2 0 -0.01088019 0 0 0 0 0.0174083
    < 3 0 0.05351275 0 0 0 0 -0.0856204
    ---
    > 1 0 -0.11779466 0 0 0 0 0.18847146
    > 2 0 -0.01076916 0 0 0 0 0.01723066
    > 3 0 0.05351275 0 0 0 0 -0.08562040
    1150,1152c1150,1152
    < 1 0 0.05786716 0 0 0 0 0.230748753
    < 2 0 0.39446908 0 0 0 0 0.006217249
    < 3 0 0.40521660 0 0 0 0 -0.034372505
    ---
    > 1 0 0.05781165 0 0 0 0 0.230837571
    > 2 0 0.39441357 0 0 0 0 0.006306067
    > 3 0 0.40518884 0 0 0 0 -0.034328096
    1165c1165
    < 1 0 0.12584378 0 0 0 0 0.0007350854
    ---
    > 1 0 0.12578827 0 0 0 0 0.0008239033
    1167c1167
    < 3 0 -0.05490053 0 0 0 0 0.4715746285
    ---
    > 3 0 -0.05487277 0 0 0 0 0.4715302195
    1180c1180
    < 1 0 0 -0.1643297 0 0 0 0
    ---
    > 1 0 0 -0.1642908 0 0 0 0
    1182c1182
    < 3 0 0 -0.1628336 0 0 0 0
    ---
    > 3 0 0 -0.1628725 0 0 0 0
    1184c1184
    < 1 0.2582323
    ---
    > 1 0.2581713
    1186c1186
    < 3 0.2558814
    ---
    > 3 0.2559425
    1197c1197
    < 3 0 0 -0.1628531 0 0 0 0
    ---
    > 3 0 0 -0.1628725 0 0 0 0
    1199,1201c1199,1201
    < 1 0.000000
    < 2 0.000000
    < 3 0.255912
    ---
    > 1 0.0000000
    > 2 0.0000000
    > 3 0.2559425
    1210c1210
    < 1 0 0 0.08114532 0 0 0 0
    ---
    > 1 0 0 0.08118418 0 0 0 0
    1212c1212
    < 3 0 0 0.22230621 0 0 0 0
    ---
    > 3 0 0 0.22228679 0 0 0 0
    1214c1214
    < 1 0.31618042
    ---
    > 1 0.31611935
    1216c1216
    < 3 0.10255408
    ---
    > 3 0.10258461
    1226c1226
    < 2 0 0 -0.03341771 0 0 0 0
    ---
    > 2 0 0 -0.03349543 0 0 0 0
    1230c1230
    < 2 0.362935120
    ---
    > 2 0.363057244
    1390c1390
    < d_y1_d_x2 -0.1630224 0.0000000 0.17390177 -0.2043782 0.00000000 0.000000000
    ---
    > d_y1_d_x2 -0.1629669 0.0000000 0.17390871 -0.2043574 0.00000000 0.000000000
    1395c1395
    < d_y1_d_x3 -0.2282313 0.0000000 0.10784984 -0.1892633 0.00000000 0.000000000
    ---
    > d_y1_d_x3 -0.2281536 0.0000000 0.10785955 -0.1892341 0.00000000 0.000000000
    1407c1407
    < d_y2_d_x2 0.007437446 0.04138356 0.00000000 0.000000000 0.00000000
    ---
    > d_y2_d_x2 0.007428078 0.04138252 0.00000000 0.000000000 0.00000000
    1412c1412
    < d_y2_d_x3 0.031191716 -0.05973382 0.00000000 0.000000000 0.00000000
    ---
    > d_y2_d_x3 0.031210451 -0.05973174 0.00000000 0.000000000 0.00000000
    1425c1425
    < d_y4_d_x2 0.00000000 0.09390405 0.00000000 0.07759313 0.11773915 0.00000000
    ---
    > d_y4_d_x2 0.00000000 0.09390405 0.00000000 0.07757925 0.11770793 0.00000000
    1430c1430
    < d_y4_d_x3 0.00000000 -0.15024648 0.00000000 0.07102097 -0.06640141 0.00000000
    ---
    > d_y4_d_x3 0.00000000 -0.15024648 0.00000000 0.07104317 -0.06635145 0.00000000
    1471,1472c1471,1472
    < 1: d_y1_d_x2 -0.395630 0.341344 -1.159 0.246
    < 1: d_y2_d_x2 0.087855 0.182054 0.483 0.629
    ---
    > 1: d_y1_d_x2 -0.395630 0.341405 -1.159 0.247
    > 1: d_y2_d_x2 0.087855 0.182102 0.482 0.629
    1474,1477c1474,1477
    < 1: d_y4_d_x2 0.101043 0.181862 0.556 0.578
    < 1: d_y5_d_x2 -0.197646 0.253724 -0.779 0.436
    < 1: d_y1_d_x3 -0.553882 0.485429 -1.141 0.254
    < 1: d_y2_d_x3 -0.175711 0.410801 -0.428 0.669
    ---
    > 1: d_y4_d_x2 0.101043 0.181770 0.556 0.578
    > 1: d_y5_d_x2 -0.197646 0.253711 -0.779 0.436
    > 1: d_y1_d_x3 -0.553882 0.485298 -1.141 0.254
    > 1: d_y2_d_x3 -0.175711 0.410981 -0.428 0.669
    1479,1480c1479,1480
    < 1: d_y4_d_x3 -0.161668 0.297994 -0.543 0.587
    < 1: d_y5_d_x3 0.310586 0.408287 0.761 0.447
    ---
    > 1: d_y4_d_x3 -0.161668 0.298007 -0.542 0.587
    > 1: d_y5_d_x3 0.310586 0.408201 0.761 0.447
    1486,1495c1486,1495
    < 2: d_y1_d_x2 -0.359770 0.344359 -1.045 0.296
    < 2: d_y2_d_x2 0.237575 0.407510 0.583 0.560
    < 2: d_y3_d_x2 -0.489142 0.359539 -1.360 0.174
    < 2: d_y4_d_x2 0.199177 0.394626 0.505 0.614
    < 2: d_y5_d_x2 -0.217295 0.398312 -0.546 0.585
    < 2: d_y1_d_x3 -0.503677 0.476357 -1.057 0.290
    < 2: d_y2_d_x3 -0.475150 0.413346 -1.150 0.250
    < 2: d_y3_d_x3 0.301010 0.370345 0.813 0.416
    < 2: d_y4_d_x3 -0.318684 0.394968 -0.807 0.420
    < 2: d_y5_d_x3 0.341464 0.444785 0.768 0.443
    ---
    > 2: d_y1_d_x2 -0.359770 0.344267 -1.045 0.296
    > 2: d_y2_d_x2 0.237575 0.407541 0.583 0.560
    > 2: d_y3_d_x2 -0.489142 0.359338 -1.361 0.173
    > 2: d_y4_d_x2 0.199177 0.394568 0.505 0.614
    > 2: d_y5_d_x2 -0.217295 0.398318 -0.546 0.585
    > 2: d_y1_d_x3 -0.503677 0.476451 -1.057 0.290
    > 2: d_y2_d_x3 -0.475150 0.413340 -1.150 0.250
    > 2: d_y3_d_x3 0.301010 0.370371 0.813 0.416
    > 2: d_y4_d_x3 -0.318684 0.394962 -0.807 0.420
    > 2: d_y5_d_x3 0.341464 0.444884 0.768 0.443
    1501c1501
    < 3: d_y1_d_x2 -0.142351 0.421488 -0.338 0.736
    ---
    > 3: d_y1_d_x2 -0.142351 0.421654 -0.338 0.736
    1503,1506c1503,1506
    < 3: d_y3_d_x2 -0.513437 0.387217 -1.326 0.185
    < 3: d_y4_d_x2 0.191867 0.415859 0.461 0.645
    < 3: d_y5_d_x2 -0.201298 0.361083 -0.557 0.577
    < 3: d_y1_d_x3 -0.199291 0.446698 -0.446 0.655
    ---
    > 3: d_y3_d_x2 -0.513437 0.387299 -1.326 0.185
    > 3: d_y4_d_x2 0.191867 0.415828 0.461 0.645
    > 3: d_y5_d_x2 -0.201298 0.361097 -0.557 0.577
    > 3: d_y1_d_x3 -0.199291 0.446937 -0.446 0.656
    1508,1510c1508,1510
    < 3: d_y3_d_x3 0.315961 0.355150 0.890 0.374
    < 3: d_y4_d_x3 -0.306987 0.488076 -0.629 0.529
    < 3: d_y5_d_x3 0.316325 0.376971 0.839 0.401
    ---
    > 3: d_y3_d_x3 0.315961 0.355154 0.890 0.374
    > 3: d_y4_d_x3 -0.306987 0.488030 -0.629 0.529
    > 3: d_y5_d_x3 0.316325 0.377041 0.839 0.401
    1516,1525c1516,1525
    < 4: d_y1_d_x2 -0.169199 0.402258 -0.421 0.674
    < 4: d_y2_d_x2 0.236362 0.402580 0.587 0.557
    < 4: d_y3_d_x2 -0.463737 0.516748 -0.897 0.369
    < 4: d_y4_d_x2 0.160268 0.372618 0.430 0.667
    < 4: d_y5_d_x2 -0.268580 0.393960 -0.682 0.495
    < 4: d_y1_d_x3 -0.236878 0.443836 -0.534 0.594
    < 4: d_y2_d_x3 -0.472723 0.461244 -1.025 0.305
    < 4: d_y3_d_x3 0.285376 0.493804 0.578 0.563
    < 4: d_y4_d_x3 -0.256429 0.505126 -0.508 0.612
    < 4: d_y5_d_x3 0.422054 0.341507 1.236 0.217
    ---
    > 4: d_y1_d_x2 -0.169199 0.402302 -0.421 0.674
    > 4: d_y2_d_x2 0.236362 0.402577 0.587 0.557
    > 4: d_y3_d_x2 -0.463737 0.516687 -0.898 0.369
    > 4: d_y4_d_x2 0.160268 0.372650 0.430 0.667
    > 4: d_y5_d_x2 -0.268580 0.393918 -0.682 0.495
    > 4: d_y1_d_x3 -0.236878 0.443856 -0.534 0.594
    > 4: d_y2_d_x3 -0.472723 0.461233 -1.025 0.305
    > 4: d_y3_d_x3 0.285376 0.493780 0.578 0.563
    > 4: d_y4_d_x3 -0.256429 0.505186 -0.508 0.612
    > 4: d_y5_d_x3 0.422054 0.341563 1.236 0.217
    1531,1534c1531,1534
    < 5: d_y1_d_x2 -0.074644 0.211345 -0.353 0.724
    < 5: d_y2_d_x2 0.189509 0.315711 0.600 0.548
    < 5: d_y3_d_x2 -0.188546 0.414723 -0.455 0.649
    < 5: d_y4_d_x2 0.111581 0.242966 0.459 0.646
    ---
    > 5: d_y1_d_x2 -0.074644 0.211300 -0.353 0.724
    > 5: d_y2_d_x2 0.189509 0.315556 0.601 0.548
    > 5: d_y3_d_x2 -0.188546 0.414815 -0.455 0.649
    > 5: d_y4_d_x2 0.111581 0.242940 0.459 0.646
    1536,1539c1536,1539
    < 5: d_y1_d_x3 -0.104501 0.294250 -0.355 0.722
    < 5: d_y2_d_x3 -0.379017 0.619369 -0.612 0.541
    < 5: d_y3_d_x3 0.116028 0.352835 0.329 0.742
    < 5: d_y4_d_x3 -0.178529 0.451115 -0.396 0.692
    ---
    > 5: d_y1_d_x3 -0.104501 0.294226 -0.355 0.722
    > 5: d_y2_d_x3 -0.379017 0.619104 -0.612 0.540
    > 5: d_y3_d_x3 0.116028 0.352853 0.329 0.742
    > 5: d_y4_d_x3 -0.178529 0.451102 -0.396 0.692
    1546,1555c1546,1555
    < 6: d_y1_d_x2 -0.248150 0.863747 -0.287 0.774
    < 6: d_y2_d_x2 0.032643 0.156261 0.209 0.835
    < 6: d_y3_d_x2 -0.024409 0.159912 -0.153 0.879
    < 6: d_y4_d_x2 0.127897 0.268445 0.476 0.634
    < 6: d_y5_d_x2 -0.012081 0.076149 -0.159 0.874
    < 6: d_y1_d_x3 -0.347410 0.836314 -0.415 0.678
    < 6: d_y2_d_x3 -0.065286 0.339928 -0.192 0.848
    < 6: d_y3_d_x3 0.015021 0.095311 0.158 0.875
    < 6: d_y4_d_x3 -0.204635 0.444976 -0.460 0.646
    < 6: d_y5_d_x3 0.018984 0.125392 0.151 0.880
    ---
    > 6: d_y1_d_x2 -0.248150 0.863787 -0.287 0.774
    > 6: d_y2_d_x2 0.032643 0.156207 0.209 0.834
    > 6: d_y3_d_x2 -0.024409 0.159927 -0.153 0.879
    > 6: d_y4_d_x2 0.127897 0.268528 0.476 0.634
    > 6: d_y5_d_x2 -0.012081 0.076150 -0.159 0.874
    > 6: d_y1_d_x3 -0.347410 0.836443 -0.415 0.678
    > 6: d_y2_d_x3 -0.065286 0.339785 -0.192 0.848
    > 6: d_y3_d_x3 0.015021 0.095323 0.158 0.875
    > 6: d_y4_d_x3 -0.204635 0.445135 -0.460 0.646
    > 6: d_y5_d_x3 0.018984 0.125393 0.151 0.880
    1561,1564c1561,1564
    < 7: d_y1_d_x2 -0.177934 0.377416 -0.471 0.637
    < 7: d_y2_d_x2 0.046807 0.183743 0.255 0.799
    < 7: d_y3_d_x2 -0.245498 0.598351 -0.410 0.682
    < 7: d_y4_d_x2 0.045342 0.182296 0.249 0.804
    ---
    > 7: d_y1_d_x2 -0.177934 0.377351 -0.472 0.637
    > 7: d_y2_d_x2 0.046807 0.183720 0.255 0.799
    > 7: d_y3_d_x2 -0.245498 0.598363 -0.410 0.682
    > 7: d_y4_d_x2 0.045342 0.182317 0.249 0.804
    1566,1569c1566,1569
    < 7: d_y1_d_x3 -0.249107 0.482640 -0.516 0.606
    < 7: d_y2_d_x3 -0.093614 0.261519 -0.358 0.720
    < 7: d_y3_d_x3 0.151075 0.279077 0.541 0.588
    < 7: d_y4_d_x3 -0.072547 0.187714 -0.386 0.699
    ---
    > 7: d_y1_d_x3 -0.249107 0.482547 -0.516 0.606
    > 7: d_y2_d_x3 -0.093614 0.261485 -0.358 0.720
    > 7: d_y3_d_x3 0.151075 0.279146 0.541 0.588
    > 7: d_y4_d_x3 -0.072547 0.187751 -0.386 0.699
    1576,1577c1576,1577
    < 8: d_y1_d_x2 -0.159973 0.344031 -0.465 0.642
    < 8: d_y2_d_x2 0.034789 0.103035 0.338 0.736
    ---
    > 8: d_y1_d_x2 -0.159973 0.343860 -0.465 0.642
    > 8: d_y2_d_x2 0.034789 0.103021 0.338 0.736
    1579c1579
    < 8: d_y4_d_x2 0.074235 0.119898 0.619 0.536
    ---
    > 8: d_y4_d_x2 0.074235 0.119894 0.619 0.536
    1581,1582c1581,1582
    < 8: d_y1_d_x3 -0.223963 0.699386 -0.320 0.749
    < 8: d_y2_d_x3 -0.069578 0.303767 -0.229 0.819
    ---
    > 8: d_y1_d_x3 -0.223963 0.699122 -0.320 0.749
    > 8: d_y2_d_x3 -0.069578 0.303754 -0.229 0.819
    1584c1584
    < 8: d_y4_d_x3 -0.118777 0.388395 -0.306 0.760
    ---
    > 8: d_y4_d_x3 -0.118777 0.388385 -0.306 0.760
    1591,1600c1591,1600
    < 9: d_y1_d_x2 -0.353459 0.543587 -0.650 0.516
    < 9: d_y2_d_x2 0.118393 0.234756 0.504 0.614
    < 9: d_y3_d_x2 -0.162800 0.378591 -0.430 0.667
    < 9: d_y4_d_x2 0.125679 0.247484 0.508 0.612
    < 9: d_y5_d_x2 -0.240994 0.321018 -0.751 0.453
    < 9: d_y1_d_x3 -0.494842 0.307003 -1.612 0.107
    < 9: d_y2_d_x3 -0.236786 0.364438 -0.650 0.516
    < 9: d_y3_d_x3 0.100185 0.192467 0.521 0.603
    < 9: d_y4_d_x3 -0.201086 0.238264 -0.844 0.399
    < 9: d_y5_d_x3 0.378705 0.274212 1.381 0.167
    ---
    > 9: d_y1_d_x2 -0.353459 0.543521 -0.650 0.515
    > 9: d_y2_d_x2 0.118393 0.234615 0.505 0.614
    > 9: d_y3_d_x2 -0.162800 0.378572 -0.430 0.667
    > 9: d_y4_d_x2 0.125679 0.247525 0.508 0.612
    > 9: d_y5_d_x2 -0.240994 0.321004 -0.751 0.453
    > 9: d_y1_d_x3 -0.494842 0.307202 -1.611 0.107
    > 9: d_y2_d_x3 -0.236786 0.364435 -0.650 0.516
    > 9: d_y3_d_x3 0.100185 0.192420 0.521 0.603
    > 9: d_y4_d_x3 -0.201086 0.238129 -0.844 0.398
    > 9: d_y5_d_x3 0.378705 0.274290 1.381 0.167
    1606,1607c1606,1607
    < 10: d_y1_d_x2 -0.096866 0.313988 -0.309 0.758
    < 10: d_y2_d_x2 0.013820 0.053458 0.259 0.796
    ---
    > 10: d_y1_d_x2 -0.096866 0.313950 -0.309 0.758
    > 10: d_y2_d_x2 0.013820 0.053456 0.259 0.796
    1609c1609
    < 10: d_y4_d_x2 0.060991 0.169414 0.360 0.719
    ---
    > 10: d_y4_d_x2 0.060991 0.169386 0.360 0.719
    1611,1612c1611,1612
    < 10: d_y1_d_x3 -0.135613 0.315502 -0.430 0.667
    < 10: d_y2_d_x3 -0.027640 0.094341 -0.293 0.770
    ---
    > 10: d_y1_d_x3 -0.135613 0.315432 -0.430 0.667
    > 10: d_y2_d_x3 -0.027640 0.094346 -0.293 0.770
    1614c1614
    < 10: d_y4_d_x3 -0.097585 0.178961 -0.545 0.586
    ---
    > 10: d_y4_d_x3 -0.097585 0.178952 -0.545 0.586
    1639,1659c1639,1659
    < 1 -1.531435e-01 0.077935542 -1.944982e-02 2.593001e-05 -1.090487e-01
    < 2 -4.137112e-01 0.359684280 -6.716675e-01 2.251131e-01 -4.229616e-01
    < 3 -1.746198e-02 0.193425397 -9.476729e-01 4.743547e-01 -4.218207e-01
    < 4 -9.915757e-03 0.304400469 -4.505573e-01 6.900180e-01 -4.797086e-01
    < 5 6.220497e-05 0.274378118 -8.324586e-03 2.080557e-01 -2.374979e-01
    < 6 -1.075015e-02 0.009675402 -7.673353e-04 -4.701646e-05 -4.797448e-04
    < 7 -4.005841e-01 0.153215835 -6.413458e-03 2.053763e-01 -2.556272e-02
    < 8 -2.743934e-05 0.029831622 -4.701151e-06 6.862575e-02 -6.524545e-05
    < 9 -8.560854e-02 0.120954712 -9.343223e-02 8.113101e-05 -2.409296e-01
    < 10 -5.543774e-01 0.066425617 -8.285254e-04 2.539360e-01 -2.282133e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -3.632295e-01 -0.08943891 0.0197709275 1.591549e-05 1.420249e-01
    < 2 -3.768491e-01 -0.31931165 0.6044471221 -1.631424e-01 5.241591e-01
    < 3 -1.135030e-02 -0.41175299 0.7904932500 -4.635800e-01 5.500869e-01
    < 4 -3.314625e-03 -0.58210715 0.3636302271 -7.025071e-01 7.061239e-01
    < 5 -1.089363e-04 -0.51893323 0.0062798673 -2.654331e-01 3.940516e-01
    < 6 -3.301153e-02 -0.01901206 0.0006541076 -6.812468e-05 5.968163e-04
    < 7 -1.334499e-01 -0.13121740 0.0047171420 -1.176622e-01 3.699710e-02
    < 8 9.799939e-07 -0.05810581 0.0000087228 -1.066800e-01 1.091348e-04
    < 9 -1.744345e-01 -0.17772451 0.0852122843 8.664254e-05 3.140598e-01
    < 10 -1.859217e-01 -0.04826082 0.0003932129 -1.184161e-01 -6.966058e-05
    ---
    > 1 -1.531435e-01 0.077935542 -1.944982e-02 2.592913e-05 -0.1090486631
    > 2 -4.137112e-01 0.359684280 -6.716675e-01 2.251131e-01 -0.4229615792
    > 3 -1.746198e-02 0.193425397 -9.476729e-01 4.743547e-01 -0.4218206775
    > 4 -9.915757e-03 0.304400469 -4.505573e-01 6.900180e-01 -0.4797086108
    > 5 6.220466e-05 0.274378118 -8.324586e-03 2.080557e-01 -0.2374978839
    > 6 -1.075014e-02 0.009675403 -7.673353e-04 -4.701639e-05 -0.0004797448
    > 7 -4.005841e-01 0.153215835 -6.413458e-03 2.053763e-01 -0.0255627164
    > 8 -2.743912e-05 0.029831622 -4.700973e-06 6.862575e-02 -0.0000652451
    > 9 -8.560854e-02 0.120954713 -9.343223e-02 8.113135e-05 -0.2409295695
    > 10 -5.543774e-01 0.066425617 -8.285249e-04 2.539360e-01 -0.0002282124
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -3.632295e-01 -0.08943891 1.977093e-02 1.591529e-05 1.420249e-01
    > 2 -3.768491e-01 -0.31931165 6.044471e-01 -1.631424e-01 5.241591e-01
    > 3 -1.135030e-02 -0.41175299 7.904933e-01 -4.635800e-01 5.500869e-01
    > 4 -3.314625e-03 -0.58210715 3.636302e-01 -7.025071e-01 7.061239e-01
    > 5 -1.089357e-04 -0.51893323 6.279867e-03 -2.654331e-01 3.940516e-01
    > 6 -3.301153e-02 -0.01901206 6.541076e-04 -6.812517e-05 5.968163e-04
    > 7 -1.334499e-01 -0.13121740 4.717143e-03 -1.176622e-01 3.699710e-02
    > 8 9.803047e-07 -0.05810581 8.723178e-06 -1.066800e-01 1.091348e-04
    > 9 -1.744345e-01 -0.17772451 8.521228e-02 8.664152e-05 3.140598e-01
    > 10 -1.859217e-01 -0.04826082 3.932133e-04 -1.184161e-01 -6.966002e-05
    1673,1683c1673,1683
    < 1 0.681209657 0.032844570 0.046417164 0.0003190126 -0.020617448
    < 5 0.009424934 0.001570433 -0.006289361 -0.0120181765 -0.004297131
    < 10 3.544598354 -0.117497119 0.001242509 -0.7858824681 0.001406433
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -1.1178883483 -0.154087703 -0.028493871 -0.0009450214 -0.074572066
    < 5 -0.0002233085 0.005868063 0.001883167 0.0071532693 -0.004542404
    < 10 -4.2030431881 0.175532609 -0.002259086 0.6974615676 -0.002836556
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -1.5147675411 0.31928173 0.020879077 0.000222096 0.0639323516
    < 5 -0.0002264411 -0.01587714 -0.001395352 -0.007376896 0.0095845622
    < 10 -3.0998808145 -0.20031677 -0.001398460 -0.194515637 0.0006132629
    ---
    > 1 0.681209658 0.032844571 0.046417164 0.000319013 -0.020617448
    > 5 0.009424934 0.001570433 -0.006289361 -0.012018177 -0.004297131
    > 10 3.544598352 -0.117497119 0.001242507 -0.785882468 0.001406431
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -1.1169015671 -0.153338794 -0.0284885140 0.0006198739 -0.074524063
    > 5 -0.0002997922 0.005847894 0.0017699012 0.0071335723 -0.004616638
    > 10 -4.2035764600 0.175564067 -0.0009123462 0.6975300569 -0.003387241
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -1.515514e+00 0.31855628 0.0208738743 -9.676582e-05 0.063874324
    > 5 -9.746379e-05 -0.01584764 -0.0013130029 -7.346336e-03 0.009786269
    > 10 -3.097683e+00 -0.20027033 -0.0009304087 -1.941095e-01 0.003315277
    1688,1698c1688,1698
    < 1 0.032844570 0.13376346 1.441998e-02 -0.000159383 -1.836871e-03
    < 5 0.001570433 0.24735075 1.133995e-01 -0.042254836 -8.146955e-02
    < 10 -0.117497119 0.02083594 -3.859285e-05 0.060698214 -4.583745e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -3.775616e-02 -0.13979825 -6.134223e-03 -0.0001791958 0.0024029004
    < 5 -2.020171e-05 0.09603681 -1.657626e-02 0.0668422941 -0.0884966265
    < 10 1.544426e-01 -0.05362480 8.735891e-05 -0.0715864723 0.0001569731
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.184182121 0.16965012 6.442514e-03 0.0001575693 -0.0037921843
    < 5 -0.000418075 -0.15273851 1.265321e-02 -0.0459521738 0.1387131399
    < 10 0.117276664 0.03112504 -6.930444e-05 0.0133541106 -0.0001032048
    ---
    > 1 0.032844571 0.13376346 1.441998e-02 -0.0001593828 -1.836871e-03
    > 5 0.001570433 0.24735075 1.133995e-01 -0.0422548363 -8.146955e-02
    > 10 -0.117497119 0.02083594 -3.859274e-05 0.0606982137 -4.583743e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -3.754151e-02 -0.13973248 -6.134243e-03 9.045735e-05 0.0024164612
    > 5 -5.288428e-05 0.09608458 -1.627438e-02 6.687077e-02 -0.0883013200
    > 10 1.544938e-01 -0.05362981 -1.354113e-06 -7.159093e-02 0.0001490507
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.184241048 0.1698549 0.0064438973 -3.305815e-05 -0.0037879221
    > 5 0.000110006 -0.1527111 0.0126377901 -4.588116e-02 0.1386856608
    > 10 0.117197378 0.0311304 0.0001222085 1.335595e-02 -0.0001311109
    1705c1705
    < 10 0.001242509 -3.859285e-05 7.615532e-06 -0.0007212932 3.307958e-07
    ---
    > 10 0.001242507 -3.859274e-05 7.615531e-06 -0.0007212926 3.307953e-07
    1707,1713c1707,1713
    < 1 -0.097157039 -1.557417e-02 -3.535007e-02 9.983374e-05 -1.185232e-01
    < 5 0.001274303 -2.458109e-02 -1.084588e-01 1.404510e-01 -3.582966e-02
    < 10 -0.001548831 5.009356e-05 -5.495547e-05 1.071937e-03 -3.138655e-06
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.1102575112 3.376977e-02 3.571476e-02 -0.0004945083 1.661878e-01
    < 5 -0.0007833522 4.930771e-02 8.192979e-02 -0.2028228710 5.091311e-02
    < 10 -0.0011852008 -6.643616e-05 4.436648e-05 -0.0002333833 3.884367e-06
    ---
    > 1 -0.097225921 -1.565141e-02 -3.534945e-02 0.0001712073 -1.185206e-01
    > 5 0.001204782 -2.453862e-02 -1.078506e-01 0.1404522502 -3.539889e-02
    > 10 -0.001550243 5.006915e-05 -5.506783e-05 0.0010717282 -4.851751e-06
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.1098751936 3.410170e-02 3.571570e-02 -4.726227e-05 1.661989e-01
    > 5 -0.0009524318 4.912317e-02 8.154297e-02 -2.028733e-01 5.072993e-02
    > 10 -0.0011853488 -6.641933e-05 4.272653e-05 -2.333415e-04 2.984698e-06
    1718,1728c1718,1728
    < 1 0.0003190126 -0.000159383 -0.0012667456 9.883137e-05 0.0006512071
    < 5 -0.0120181765 -0.042254836 -0.0071332395 4.199896e-01 0.0019320786
    < 10 -0.7858824681 0.060698214 -0.0007212932 5.208348e-01 -0.0004198404
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0002058006 -2.569525e-06 0.0006169391 -5.017332e-06 0.002298467
    < 5 0.0011179216 -1.096764e-02 -0.0519661549 -9.791711e-02 0.001540331
    < 10 1.0214661607 -1.333779e-01 0.0036999278 -7.372239e-01 0.001230014
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0009332591 -0.0001244396 -0.0006330891 7.695588e-06 -0.0033052910
    < 5 -0.0003870528 0.0141468606 0.0368608510 1.494390e-01 -0.0173719240
    < 10 0.7714145074 0.0967016135 -0.0019623390 1.281644e-01 -0.0009512649
    ---
    > 1 0.000319013 -0.0001593828 -0.0012667456 9.883137e-05 0.0006512071
    > 5 -0.012018177 -0.0422548363 -0.0071332395 4.199896e-01 0.0019320785
    > 10 -0.785882468 0.0606982137 -0.0007212926 5.208348e-01 -0.0004198399
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0002041637 1.116733e-05 0.0006169258 -7.709117e-06 0.0022984766
    > 5 0.0014097311 -1.104164e-02 -0.0522346362 -9.793466e-02 0.0011544358
    > 10 1.0211451060 -1.334073e-01 0.0027967372 -7.373045e-01 0.0004213342
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0009371763 -0.0001439648 -0.0006331272 3.662629e-06 -0.0033054727
    > 5 -0.0002727514 0.0142905810 0.0369909200 1.494160e-01 -0.0172465989
    > 10 0.7708771208 0.0967034450 -0.0011722083 1.281425e-01 -0.0007989053
    1734,1735c1734,1735
    < 5 -0.004297131 -8.146955e-02 1.875787e-02 0.0019320786 2.114720e-01
    < 10 0.001406433 -4.583745e-05 3.307958e-07 -0.0004198404 7.352709e-07
    ---
    > 5 -0.004297131 -8.146955e-02 1.875787e-02 0.0019320785 2.114720e-01
    > 10 0.001406431 -4.583743e-05 3.307953e-07 -0.0004198399 7.352687e-07
    1737,1743c1737,1743
    < 1 0.0460321434 -9.679173e-03 2.154246e-02 -0.0001362051 1.090354e-01
    < 5 0.0002351045 -2.697849e-02 -4.160330e-03 0.0190410097 2.393355e-01
    < 10 -0.0017021267 6.445792e-05 1.019775e-06 0.0004838708 -5.492092e-07
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0313872151 9.262457e-03 -2.146666e-02 3.753371e-04 -1.550560e-01
    < 5 0.0005524273 8.698010e-02 3.464635e-03 -4.917148e-02 -4.237882e-01
    < 10 -0.0012565312 -7.923501e-05 -2.752287e-06 -9.594659e-05 -1.869047e-07
    ---
    > 1 0.0460698877 -9.702575e-03 2.154187e-02 -0.0001684079 1.090350e-01
    > 5 0.0002824631 -2.709406e-02 -4.243048e-03 0.0190275575 2.392568e-01
    > 10 -0.0017023111 6.447466e-05 1.432985e-06 0.0004838769 -8.068193e-07
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.031160190 9.090536e-03 -2.146734e-02 -4.994463e-06 -1.550631e-01
    > 5 -0.000687166 8.671953e-02 2.602261e-03 -4.935279e-02 -4.245459e-01
    > 10 -0.001255453 -7.920541e-05 -2.369264e-06 -9.581532e-05 8.653899e-07
    1748,1758c1748,1758
    < 1 -1.1178883483 -3.775616e-02 -0.097157039 -0.0002058006 0.0460321434
    < 5 -0.0002233085 -2.020171e-05 0.001274303 0.0011179216 0.0002351045
    < 10 -4.2030431881 1.544426e-01 -0.001548831 1.0214661607 -0.0017021267
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 1.977430e+00 0.1886580673 0.0557325899 0.0015445339 0.1701127796
    < 5 2.446576e-05 -0.0001483773 -0.0004319218 0.0004130066 0.0001324515
    < 10 5.238521e+00 -0.2748070757 0.0029734582 -1.0994421986 0.0029261558
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 2.470359e+00 -0.5168698268 -0.045888322 -0.0002040048 -0.1595659895
    < 5 -5.993519e-06 -0.0005019873 0.000322695 -0.0005750791 -0.0002592091
    < 10 3.766267e+00 0.2504558971 0.001608784 0.2143498292 -0.0004495316
    ---
    > 1 -1.1169015671 -3.754151e-02 -0.097225921 -0.0002041637 0.0460698877
    > 5 -0.0002997922 -5.288428e-05 0.001204782 0.0014097311 0.0002824631
    > 10 -4.2035764600 1.544938e-01 -0.001550243 1.0211451060 -0.0017023111
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 1.974272e+00 0.1868057844 0.0557594426 -1.156332e-03 1.702182e-01
    > 5 3.841992e-05 -0.0001288171 -0.0004347567 5.644131e-05 -3.730395e-05
    > 10 5.239858e+00 -0.2750002811 0.0012735115 -1.098837e+00 3.583338e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 2.469028e+00 -0.5146228431 -0.0459112140 -2.784437e-05 -0.159840294
    > 5 -1.929414e-05 0.0002852799 0.0003084255 -1.574826e-04 -0.000260798
    > 10 3.764316e+00 0.2504556141 0.0018073845 2.137223e-01 -0.003163122
    1763,1773c1763,1773
    < 1 -0.154087703 -0.13979825 -1.557417e-02 -2.569525e-06 -9.679173e-03
    < 5 0.005868063 0.09603681 -2.458109e-02 -1.096764e-02 -2.697849e-02
    < 10 0.175532609 -0.05362480 5.009356e-05 -1.333779e-01 6.445792e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.1886580673 0.2685696 1.024523e-02 0.0001857115 -0.0305949068
    < 5 -0.0001483773 0.2359320 8.091046e-03 0.0044396116 -0.0672364831
    < 10 -0.2748070757 0.1493717 -9.759835e-05 0.1748072586 -0.0002261489
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.4809615706 -0.35487763 -0.0097112868 -0.0005040688 0.0475907985
    < 5 -0.0001059908 -0.29895556 -0.0056096755 0.0081262479 0.0937296891
    < 10 -0.2009853033 -0.07732207 0.0002027805 -0.0251148669 0.0002333807
    ---
    > 1 -0.153338794 -0.13973248 -1.565141e-02 1.116733e-05 -9.702575e-03
    > 5 0.005847894 0.09608458 -2.453862e-02 -1.104164e-02 -2.709406e-02
    > 10 0.175564067 -0.05362981 5.006915e-05 -1.334073e-01 6.447466e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.1868057844 0.2684995 1.026219e-02 -0.0002490298 -0.0307401253
    > 5 -0.0001288171 0.2361919 8.223101e-03 0.0044956963 -0.0672869196
    > 10 -0.2750002811 0.1493929 8.584094e-05 0.1748555181 -0.0002050709
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.4798411614 -0.35467002 -0.0097276934 -9.552450e-06 0.0477033508
    > 5 -0.0002765534 -0.29912745 -0.0061185443 8.018592e-03 0.0934479358
    > 10 -0.2008905358 -0.07734526 -0.0004173537 -2.514560e-02 0.0001184889
    1778,1788c1778,1788
    < 1 -0.028493871 -6.134223e-03 -3.535007e-02 0.0006169391 2.154246e-02
    < 5 0.001883167 -1.657626e-02 -1.084588e-01 -0.0519661549 -4.160330e-03
    < 10 -0.002259086 8.735891e-05 -5.495547e-05 0.0036999278 1.019775e-06
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0557325899 1.024523e-02 0.0227211250 -6.342788e-05 7.166202e-02
    < 5 -0.0004319218 8.091046e-03 0.0323914096 -2.482545e-02 8.820130e-03
    < 10 0.0029734582 -9.759835e-05 0.0004300124 -6.085841e-03 3.303845e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0637862386 -0.0225065305 -0.0230529858 0.0003411636 -9.942315e-02
    < 5 0.0002758713 -0.0124293397 -0.0240768448 0.0345572378 -1.158896e-02
    < 10 0.0024670904 0.0001529827 -0.0003421744 0.0015892628 -2.987438e-05
    ---
    > 1 -0.0284885140 -6.134243e-03 -3.534945e-02 0.0006169258 2.154187e-02
    > 5 0.0017699012 -1.627438e-02 -1.078506e-01 -0.0522346362 -4.243048e-03
    > 10 -0.0009123462 -1.354113e-06 -5.506783e-05 0.0027967372 1.432985e-06
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0557594426 1.026219e-02 0.0227206625 -8.911402e-05 7.165823e-02
    > 5 -0.0004347567 8.223101e-03 0.0321679011 -2.421288e-02 8.431925e-03
    > 10 0.0012735115 8.584094e-05 0.0004341852 -4.835943e-03 3.819636e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0634876756 -2.274560e-02 -0.02305357 1.125424e-05 -9.942958e-02
    > 5 0.0002800357 -1.169504e-02 -0.02395206 3.391614e-02 -1.140720e-02
    > 10 0.0013424380 -6.201132e-06 -0.00033604 1.276604e-03 -1.893333e-05
    1793,1803c1793,1803
    < 1 -0.0009450214 -0.0001791958 9.983374e-05 -5.017332e-06 -0.0001362051
    < 5 0.0071532693 0.0668422941 1.404510e-01 -9.791711e-02 0.0190410097
    < 10 0.6974615676 -0.0715864723 1.071937e-03 -7.372239e-01 0.0004838708
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0015445339 0.0001857115 -6.342788e-05 1.077997e-05 -0.0004086513
    < 5 0.0004130066 0.0044396116 -2.482545e-02 3.205727e-01 -0.0025188783
    < 10 -1.0994421986 0.1748072586 -6.085841e-03 1.251005e+00 -0.0010239044
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0027475275 -0.0001587146 6.869972e-05 -6.469797e-06 0.0006507906
    < 5 -0.0007517452 -0.0080006146 1.893049e-02 -3.577384e-01 0.0035472898
    < 10 -0.7895219107 -0.1075800106 3.656782e-03 -1.506665e-01 0.0010185124
    ---
    > 1 0.0006198739 9.045735e-05 0.0001712073 -7.709117e-06 -0.0001684079
    > 5 0.0071335723 6.687077e-02 0.1404522502 -9.793466e-02 0.0190275575
    > 10 0.6975300569 -7.159093e-02 0.0010717282 -7.373045e-01 0.0004838769
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -1.156332e-03 -0.0002490298 -8.911402e-05 9.134152e-06 -0.0005579779
    > 5 5.644131e-05 0.0044956963 -2.421288e-02 3.205547e-01 -0.0021255545
    > 10 -1.098837e+00 0.1748555181 -4.835943e-03 1.251214e+00 0.0002253370
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0010053706 0.0005433265 8.792193e-05 -3.383598e-06 0.0007272656
    > 5 0.0002159737 -0.0077237630 1.971415e-02 -3.576507e-01 0.0042441115
    > 10 -0.7890623250 -0.1075936295 2.153961e-03 -1.506817e-01 0.0003322047
    1808,1818c1808,1818
    < 1 -0.074572066 0.0024029004 -1.185232e-01 0.002298467 1.090354e-01
    < 5 -0.004542404 -0.0884966265 -3.582966e-02 0.001540331 2.393355e-01
    < 10 -0.002836556 0.0001569731 -3.138655e-06 0.001230014 -5.492092e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.1701127796 -0.0305949068 7.166202e-02 -0.0004086513 3.800966e-01
    < 5 0.0001324515 -0.0672364831 8.820130e-03 -0.0025188783 3.510542e-01
    < 10 0.0029261558 -0.0002261489 3.303845e-05 -0.0010239044 2.685567e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.1152329916 0.020421986 -7.073603e-02 0.0011942882 -5.234582e-01
    < 5 0.0008340232 0.118654357 -6.172653e-03 -0.0250415334 -5.641714e-01
    < 10 0.0022558656 0.000313378 -1.069879e-05 0.0005355636 -1.824455e-06
    ---
    > 1 -0.074524063 0.0024164612 -1.185206e-01 0.0022984766 1.090350e-01
    > 5 -0.004616638 -0.0883013200 -3.539889e-02 0.0011544358 2.392568e-01
    > 10 -0.003387241 0.0001490507 -4.851751e-06 0.0004213342 -8.068193e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 1.702182e-01 -0.0307401253 7.165823e-02 -0.0005579779 3.800901e-01
    > 5 -3.730395e-05 -0.0672869196 8.431925e-03 -0.0021255545 3.505131e-01
    > 10 3.583338e-03 -0.0002050709 3.819636e-05 0.0002253370 2.040649e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.114375625 0.0199462756 -7.073578e-02 9.563474e-05 -5.234779e-01
    > 5 -0.000653592 0.1187059126 -7.171637e-03 -2.575759e-02 -5.648879e-01
    > 10 0.002634761 0.0002860459 -2.438624e-05 3.174106e-04 -9.347271e-06
    1823,1833c1823,1833
    < 1 -1.5147675411 -0.184182121 -0.1102575112 -0.0009332591 0.0313872151
    < 5 -0.0002264411 -0.000418075 -0.0007833522 -0.0003870528 0.0005524273
    < 10 -3.0998808145 0.117276664 -0.0011852008 0.7714145074 -0.0012565312
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 2.470359e+00 0.4809615706 0.0637862386 0.0027475275 0.1152329916
    < 5 -5.993519e-06 -0.0001059908 0.0002758713 -0.0007517452 0.0008340232
    < 10 3.766267e+00 -0.2009853033 0.0024670904 -0.7895219107 0.0022558656
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 3.633789e+00 -0.8577475480 -0.0508896221 -0.0013345648 -0.0853090341
    < 5 2.716924e-05 0.0001910747 -0.0001894415 0.0002625954 -0.0005482701
    < 10 2.831864e+00 0.1850882819 0.0008190421 0.1435389298 -0.0004594805
    ---
    > 1 -1.515514e+00 -0.184241048 -0.1098751936 -0.0009371763 0.031160190
    > 5 -9.746379e-05 0.000110006 -0.0009524318 -0.0002727514 -0.000687166
    > 10 -3.097683e+00 0.117197378 -0.0011853488 0.7708771208 -0.001255453
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 2.469028e+00 0.4798411614 0.0634876756 -0.0010053706 0.114375625
    > 5 -1.929414e-05 -0.0002765534 0.0002800357 0.0002159737 -0.000653592
    > 10 3.764316e+00 -0.2008905358 0.0013424380 -0.7890623250 0.002634761
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 3.637712e+00 -0.8575304993 -0.0505683577 -0.0006105466 -0.083896801
    > 5 5.368318e-05 -0.0001933717 -0.0001669076 -0.0007801894 0.001480701
    > 10 2.828161e+00 0.1848896656 0.0008764212 0.1429236557 -0.002409316
    1838,1848c1838,1848
    < 1 0.31928173 0.16965012 3.376977e-02 -0.0001244396 9.262457e-03
    < 5 -0.01587714 -0.15273851 4.930771e-02 0.0141468606 8.698010e-02
    < 10 -0.20031677 0.03112504 -6.643616e-05 0.0967016135 -7.923501e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.5168698268 -0.35487763 -0.0225065305 -0.0001587146 0.020421986
    < 5 -0.0005019873 -0.29895556 -0.0124293397 -0.0080006146 0.118654357
    < 10 0.2504558971 -0.07732207 0.0001529827 -0.1075800106 0.000313378
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.8577475480 0.60823088 2.310128e-02 0.0007369363 -0.0618199866
    < 5 0.0001910747 0.88514440 8.777749e-03 0.0064913585 -0.3549448261
    < 10 0.1850882819 0.04940581 -1.502881e-05 0.0270360319 -0.0001147958
    ---
    > 1 0.31855628 0.1698549 3.410170e-02 -0.0001439648 9.090536e-03
    > 5 -0.01584764 -0.1527111 4.912317e-02 0.0142905810 8.671953e-02
    > 10 -0.20027033 0.0311304 -6.641933e-05 0.0967034450 -7.920541e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.5146228431 -0.35467002 -2.274560e-02 0.0005433265 0.0199462756
    > 5 0.0002852799 -0.29912745 -1.169504e-02 -0.0077237630 0.1187059126
    > 10 0.2504556141 -0.07734526 -6.201132e-06 -0.1075936295 0.0002860459
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.8575304993 0.60840974 0.0233833110 0.0005723414 -0.0608347682
    > 5 -0.0001933717 0.88527485 0.0087367501 0.0062146832 -0.3544836234
    > 10 0.1848896656 0.04941825 0.0002036233 0.0270341961 -0.0002253552
    1853,1863c1853,1863
    < 1 0.020879077 6.442514e-03 3.571476e-02 -0.0006330891 -2.146666e-02
    < 5 -0.001395352 1.265321e-02 8.192979e-02 0.0368608510 3.464635e-03
    < 10 -0.001398460 -6.930444e-05 4.436648e-05 -0.0019623390 -2.752287e-06
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.045888322 -0.0097112868 -0.0230529858 6.869972e-05 -7.073603e-02
    < 5 0.000322695 -0.0056096755 -0.0240768448 1.893049e-02 -6.172653e-03
    < 10 0.001608784 0.0002027805 -0.0003421744 3.656782e-03 -1.069879e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0508896221 2.310128e-02 0.0241721996 -0.0003202898 0.1004067782
    < 5 -0.0001894415 8.777749e-03 0.0179947225 -0.0289422371 0.0090346784
    < 10 0.0008190421 -1.502881e-05 0.0003110783 -0.0008122901 0.0000421347
    ---
    > 1 0.0208738743 0.0064438973 3.571570e-02 -0.0006331272 -2.146734e-02
    > 5 -0.0013130029 0.0126377901 8.154297e-02 0.0369909200 2.602261e-03
    > 10 -0.0009304087 0.0001222085 4.272653e-05 -0.0011722083 -2.369264e-06
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0459112140 -0.0097276934 -0.02305357 8.792193e-05 -7.073578e-02
    > 5 0.0003084255 -0.0061185443 -0.02395206 1.971415e-02 -7.171637e-03
    > 10 0.0018073845 -0.0004173537 -0.00033604 2.153961e-03 -2.438624e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0505683577 0.0233833110 0.0241741765 5.055428e-05 1.004226e-01
    > 5 -0.0001669076 0.0087367501 0.0179439486 -2.996608e-02 1.010963e-02
    > 10 0.0008764212 0.0002036233 0.0002829794 -7.388569e-04 2.544273e-05
    1868,1878c1868,1878
    < 1 0.000222096 0.0001575693 -0.0004945083 7.695588e-06 3.753371e-04
    < 5 -0.007376896 -0.0459521738 -0.2028228710 1.494390e-01 -4.917148e-02
    < 10 -0.194515637 0.0133541106 -0.0002333833 1.281644e-01 -9.594659e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0002040048 -0.0005040688 0.0003411636 -6.469797e-06 0.0011942882
    < 5 -0.0005750791 0.0081262479 0.0345572378 -3.577384e-01 -0.0250415334
    < 10 0.2143498292 -0.0251148669 0.0015892628 -1.506665e-01 0.0005355636
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0013345648 0.0007369363 -0.0003202898 2.001609e-05 -0.0018177126
    < 5 0.0002625954 0.0064913585 -0.0289422371 5.848370e-01 0.0143992769
    < 10 0.1435389298 0.0270360319 -0.0008122901 7.394231e-02 -0.0002192539
    ---
    > 1 -9.676582e-05 -3.305815e-05 -4.726227e-05 3.662629e-06 -4.994463e-06
    > 5 -7.346336e-03 -4.588116e-02 -2.028733e-01 1.494160e-01 -4.935279e-02
    > 10 -1.941095e-01 1.335595e-02 -2.333415e-04 1.281425e-01 -9.581532e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -2.784437e-05 -9.552450e-06 1.125424e-05 -3.383598e-06 9.563474e-05
    > 5 -1.574826e-04 8.018592e-03 3.391614e-02 -3.576507e-01 -2.575759e-02
    > 10 2.137223e-01 -2.514560e-02 1.276604e-03 -1.506817e-01 3.174106e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0006105466 0.0005723414 5.055428e-05 1.961294e-05 0.0000666040
    > 5 -0.0007801894 0.0062146832 -2.996608e-02 5.845936e-01 0.0138759957
    > 10 0.1429236557 0.0270341961 -7.388569e-04 7.396294e-02 -0.0003993135
    1883,1893c1883,1893
    < 1 0.0639323516 -0.0037921843 1.661878e-01 -0.0033052910 -1.550560e-01
    < 5 0.0095845622 0.1387131399 5.091311e-02 -0.0173719240 -4.237882e-01
    < 10 0.0006132629 -0.0001032048 3.884367e-06 -0.0009512649 -1.869047e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.1595659895 0.0475907985 -9.942315e-02 0.0006507906 -5.234582e-01
    < 5 -0.0002592091 0.0937296891 -1.158896e-02 0.0035472898 -5.641714e-01
    < 10 -0.0004495316 0.0002333807 -2.987438e-05 0.0010185124 -1.824455e-06
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0853090341 -0.0618199866 0.1004067782 -0.0018177126 0.7587645984
    < 5 -0.0005482701 -0.3549448261 0.0090346784 0.0143992769 1.1772043072
    < 10 -0.0004594805 -0.0001147958 0.0000421347 -0.0002192539 0.0000252894
    ---
    > 1 0.063874324 -0.0037879221 1.661989e-01 -0.0033054727 -1.550631e-01
    > 5 0.009786269 0.1386856608 5.072993e-02 -0.0172465989 -4.245459e-01
    > 10 0.003315277 -0.0001311109 2.984698e-06 -0.0007989053 8.653899e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.159840294 0.0477033508 -9.942958e-02 0.0007272656 -5.234779e-01
    > 5 -0.000260798 0.0934479358 -1.140720e-02 0.0042441115 -5.648879e-01
    > 10 -0.003163122 0.0001184889 -1.893333e-05 0.0003322047 -9.347271e-06
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.083896801 -0.0608347682 1.004226e-01 0.0000666040 7.588406e-01
    > 5 0.001480701 -0.3544836234 1.010963e-02 0.0138759957 1.179896e+00
    > 10 -0.002409316 -0.0002253552 2.544273e-05 -0.0003993135 2.270258e-05
    1897,1943c1897,1943
    < d_y1_d_x1 0.6812096572 0.0328445699 4.641716e-02 3.190126e-04 -0.0206174478
    < d_y2_d_x1 0.0328445699 0.1337634568 1.441998e-02 -1.593830e-04 -0.0018368715
    < d_y3_d_x1 0.0464171645 0.0144199770 6.675280e-02 -1.266746e-03 -0.0331997504
    < d_y4_d_x1 0.0003190126 -0.0001593830 -1.266746e-03 9.883137e-05 0.0006512071
    < d_y5_d_x1 -0.0206174478 -0.0018368715 -3.319975e-02 6.512071e-04 0.0361535596
    < d_y1_d_x2 -1.1178883483 -0.0377561600 -9.715704e-02 -2.058006e-04 0.0460321434
    < d_y2_d_x2 -0.1540877029 -0.1397982493 -1.557417e-02 -2.569525e-06 -0.0096791728
    < d_y3_d_x2 -0.0284938709 -0.0061342233 -3.535007e-02 6.169391e-04 0.0215424585
    < d_y4_d_x2 -0.0009450214 -0.0001791958 9.983374e-05 -5.017332e-06 -0.0001362051
    < d_y5_d_x2 -0.0745720655 0.0024029004 -1.185232e-01 2.298467e-03 0.1090354347
    < d_y1_d_x3 -1.5147675411 -0.1841821208 -1.102575e-01 -9.332591e-04 0.0313872151
    < d_y2_d_x3 0.3192817271 0.1696501179 3.376977e-02 -1.244396e-04 0.0092624573
    < d_y3_d_x3 0.0208790774 0.0064425141 3.571476e-02 -6.330891e-04 -0.0214666613
    < d_y4_d_x3 0.0002220960 0.0001575693 -4.945083e-04 7.695588e-06 0.0003753371
    < d_y5_d_x3 0.0639323516 -0.0037921843 1.661878e-01 -3.305291e-03 -0.1550560242
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < d_y1_d_x1 -1.1178883483 -1.540877e-01 -2.849387e-02 -9.450214e-04 -0.0745720655
    < d_y2_d_x1 -0.0377561600 -1.397982e-01 -6.134223e-03 -1.791958e-04 0.0024029004
    < d_y3_d_x1 -0.0971570392 -1.557417e-02 -3.535007e-02 9.983374e-05 -0.1185232296
    < d_y4_d_x1 -0.0002058006 -2.569525e-06 6.169391e-04 -5.017332e-06 0.0022984671
    < d_y5_d_x1 0.0460321434 -9.679173e-03 2.154246e-02 -1.362051e-04 0.1090354347
    < d_y1_d_x2 1.9774303619 1.886581e-01 5.573259e-02 1.544534e-03 0.1701127796
    < d_y2_d_x2 0.1886580673 2.685696e-01 1.024523e-02 1.857115e-04 -0.0305949068
    < d_y3_d_x2 0.0557325899 1.024523e-02 2.272113e-02 -6.342788e-05 0.0716620202
    < d_y4_d_x2 0.0015445339 1.857115e-04 -6.342788e-05 1.077997e-05 -0.0004086513
    < d_y5_d_x2 0.1701127796 -3.059491e-02 7.166202e-02 -4.086513e-04 0.3800966492
    < d_y1_d_x3 2.4703588241 4.809616e-01 6.378624e-02 2.747528e-03 0.1152329916
    < d_y2_d_x3 -0.5168698268 -3.548776e-01 -2.250653e-02 -1.587146e-04 0.0204219858
    < d_y3_d_x3 -0.0458883218 -9.711287e-03 -2.305299e-02 6.869972e-05 -0.0707360305
    < d_y4_d_x3 -0.0002040048 -5.040688e-04 3.411636e-04 -6.469797e-06 0.0011942882
    < d_y5_d_x3 -0.1595659895 4.759080e-02 -9.942315e-02 6.507906e-04 -0.5234582239
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < d_y1_d_x1 -1.5147675411 0.3192817271 2.087908e-02 2.220960e-04 0.0639323516
    < d_y2_d_x1 -0.1841821208 0.1696501179 6.442514e-03 1.575693e-04 -0.0037921843
    < d_y3_d_x1 -0.1102575112 0.0337697690 3.571476e-02 -4.945083e-04 0.1661877917
    < d_y4_d_x1 -0.0009332591 -0.0001244396 -6.330891e-04 7.695588e-06 -0.0033052910
    < d_y5_d_x1 0.0313872151 0.0092624573 -2.146666e-02 3.753371e-04 -0.1550560242
    < d_y1_d_x2 2.4703588241 -0.5168698268 -4.588832e-02 -2.040048e-04 -0.1595659895
    < d_y2_d_x2 0.4809615706 -0.3548776273 -9.711287e-03 -5.040688e-04 0.0475907985
    < d_y3_d_x2 0.0637862386 -0.0225065305 -2.305299e-02 3.411636e-04 -0.0994231496
    < d_y4_d_x2 0.0027475275 -0.0001587146 6.869972e-05 -6.469797e-06 0.0006507906
    < d_y5_d_x2 0.1152329916 0.0204219858 -7.073603e-02 1.194288e-03 -0.5234582239
    < d_y1_d_x3 3.6337885937 -0.8577475480 -5.088962e-02 -1.334565e-03 -0.0853090341
    < d_y2_d_x3 -0.8577475480 0.6082308809 2.310128e-02 7.369363e-04 -0.0618199866
    < d_y3_d_x3 -0.0508896221 0.0231012776 2.417220e-02 -3.202898e-04 0.1004067782
    < d_y4_d_x3 -0.0013345648 0.0007369363 -3.202898e-04 2.001609e-05 -0.0018177126
    < d_y5_d_x3 -0.0853090341 -0.0618199866 1.004068e-01 -1.817713e-03 0.7587645984
    ---
    > d_y1_d_x1 6.812097e-01 3.284457e-02 4.641716e-02 3.190130e-04 -2.061745e-02
    > d_y2_d_x1 3.284457e-02 1.337635e-01 1.441998e-02 -1.593828e-04 -1.836871e-03
    > d_y3_d_x1 4.641716e-02 1.441998e-02 6.675280e-02 -1.266746e-03 -3.319975e-02
    > d_y4_d_x1 3.190130e-04 -1.593828e-04 -1.266746e-03 9.883137e-05 6.512071e-04
    > d_y5_d_x1 -2.061745e-02 -1.836871e-03 -3.319975e-02 6.512071e-04 3.615356e-02
    > d_y1_d_x2 -1.116902e+00 -3.754151e-02 -9.722592e-02 -2.041637e-04 4.606989e-02
    > d_y2_d_x2 -1.533388e-01 -1.397325e-01 -1.565141e-02 1.116733e-05 -9.702575e-03
    > d_y3_d_x2 -2.848851e-02 -6.134243e-03 -3.534945e-02 6.169258e-04 2.154187e-02
    > d_y4_d_x2 6.198739e-04 9.045735e-05 1.712073e-04 -7.709117e-06 -1.684079e-04
    > d_y5_d_x2 -7.452406e-02 2.416461e-03 -1.185206e-01 2.298477e-03 1.090350e-01
    > d_y1_d_x3 -1.515514e+00 -1.842410e-01 -1.098752e-01 -9.371763e-04 3.116019e-02
    > d_y2_d_x3 3.185563e-01 1.698549e-01 3.410170e-02 -1.439648e-04 9.090536e-03
    > d_y3_d_x3 2.087387e-02 6.443897e-03 3.571570e-02 -6.331272e-04 -2.146734e-02
    > d_y4_d_x3 -9.676582e-05 -3.305815e-05 -4.726227e-05 3.662629e-06 -4.994463e-06
    > d_y5_d_x3 6.387432e-02 -3.787922e-03 1.661989e-01 -3.305473e-03 -1.550631e-01
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > d_y1_d_x1 -1.116902e+00 -1.533388e-01 -2.848851e-02 6.198739e-04 -7.452406e-02
    > d_y2_d_x1 -3.754151e-02 -1.397325e-01 -6.134243e-03 9.045735e-05 2.416461e-03
    > d_y3_d_x1 -9.722592e-02 -1.565141e-02 -3.534945e-02 1.712073e-04 -1.185206e-01
    > d_y4_d_x1 -2.041637e-04 1.116733e-05 6.169258e-04 -7.709117e-06 2.298477e-03
    > d_y5_d_x1 4.606989e-02 -9.702575e-03 2.154187e-02 -1.684079e-04 1.090350e-01
    > d_y1_d_x2 1.974272e+00 1.868058e-01 5.575944e-02 -1.156332e-03 1.702182e-01
    > d_y2_d_x2 1.868058e-01 2.684995e-01 1.026219e-02 -2.490298e-04 -3.074013e-02
    > d_y3_d_x2 5.575944e-02 1.026219e-02 2.272066e-02 -8.911402e-05 7.165823e-02
    > d_y4_d_x2 -1.156332e-03 -2.490298e-04 -8.911402e-05 9.134152e-06 -5.579779e-04
    > d_y5_d_x2 1.702182e-01 -3.074013e-02 7.165823e-02 -5.579779e-04 3.800901e-01
    > d_y1_d_x3 2.469028e+00 4.798412e-01 6.348768e-02 -1.005371e-03 1.143756e-01
    > d_y2_d_x3 -5.146228e-01 -3.546700e-01 -2.274560e-02 5.433265e-04 1.994628e-02
    > d_y3_d_x3 -4.591121e-02 -9.727693e-03 -2.305357e-02 8.792193e-05 -7.073578e-02
    > d_y4_d_x3 -2.784437e-05 -9.552450e-06 1.125424e-05 -3.383598e-06 9.563474e-05
    > d_y5_d_x3 -1.598403e-01 4.770335e-02 -9.942958e-02 7.272656e-04 -5.234779e-01
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > d_y1_d_x1 -1.5155136496 0.3185562850 2.087387e-02 -9.676582e-05 0.0638743236
    > d_y2_d_x1 -0.1842410475 0.1698548807 6.443897e-03 -3.305815e-05 -0.0037879221
    > d_y3_d_x1 -0.1098751936 0.0341016987 3.571570e-02 -4.726227e-05 0.1661989341
    > d_y4_d_x1 -0.0009371763 -0.0001439648 -6.331272e-04 3.662629e-06 -0.0033054727
    > d_y5_d_x1 0.0311601898 0.0090905358 -2.146734e-02 -4.994463e-06 -0.1550631458
    > d_y1_d_x2 2.4690277129 -0.5146228431 -4.591121e-02 -2.784437e-05 -0.1598402938
    > d_y2_d_x2 0.4798411614 -0.3546700224 -9.727693e-03 -9.552450e-06 0.0477033508
    > d_y3_d_x2 0.0634876756 -0.0227456009 -2.305357e-02 1.125424e-05 -0.0994295843
    > d_y4_d_x2 -0.0010053706 0.0005433265 8.792193e-05 -3.383598e-06 0.0007272656
    > d_y5_d_x2 0.1143756253 0.0199462756 -7.073578e-02 9.563474e-05 -0.5234779044
    > d_y1_d_x3 3.6377118200 -0.8575304993 -5.056836e-02 -6.105466e-04 -0.0838968013
    > d_y2_d_x3 -0.8575304993 0.6084097418 2.338331e-02 5.723414e-04 -0.0608347682
    > d_y3_d_x3 -0.0505683577 0.0233833110 2.417418e-02 5.055428e-05 0.1004225515
    > d_y4_d_x3 -0.0006105466 0.0005723414 5.055428e-05 1.961294e-05 0.0000666040
    > d_y5_d_x3 -0.0838968013 -0.0608347682 1.004226e-01 6.660400e-05 0.7588406335
    1948,1958c1948,1958
    < 1 -0.15639148 0.0004175927 -0.0034077201 -9.140888e-05 0.0012587677
    < 5 -0.02800207 0.0440645951 0.0050068900 2.316666e-02 -0.0016630710
    < 10 -0.36206441 0.0233549044 -0.0001174282 9.265316e-02 -0.0001571011
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.1794675519 0.037003733 8.788543e-03 -0.0005551115 -0.0002720046
    < 5 0.0006661338 -0.008448797 3.330669e-05 -0.0049737992 0.0007549517
    < 10 0.6128653141 -0.072165884 -4.884981e-04 -0.1904906788 -0.0009214851
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.4714451052 -0.090594199 -0.0121246763 -0.0003996803 -0.0031558089
    < 5 0.0002220446 -0.002309264 0.0002331468 -0.0018707258 0.0002775558
    < 10 0.2127409360 0.035824121 -0.0015210055 0.0271616063 -0.0020095037
    ---
    > 1 -0.15639148 0.0004175918 -0.0034077201 -0.0000914101 0.0012587677
    > 5 -0.02800207 0.0440645951 0.0050068900 0.0231666586 -0.0016630708
    > 10 -0.36206441 0.0233549044 -0.0001174276 0.0926531552 -0.0001571004
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.178501658 0.036859404 0.0087862877 -0.001021405 -3.004541e-04
    > 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 9.992007e-05
    > 10 0.612898621 -0.072196069 -0.0008548717 -0.190615579 -7.882583e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.470024020 -0.092093000 -0.0121292733 -0.001421085 -0.003150258
    > 5 0.002020606 -0.001920686 0.0019872992 -0.001568190 0.001176836
    > 10 0.213329354 0.035809203 -0.0006328271 0.027169933 -0.001298961
    1963,1973c1963,1973
    < 1 9.163474e-02 -0.0361629797 -5.966820e-03 -0.0001078717 1.281769e-04
    < 5 6.949863e-05 -0.0016266396 -2.210232e-06 -0.0010432505 9.689360e-06
    < 10 8.615991e-03 -0.0007684082 2.152944e-06 -0.0022078730 2.259082e-06
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0000000000 0.000000000 0.000000e+00 0.000000000 0.0000000000
    < 5 0.0006661338 -0.008448797 3.330669e-05 -0.004973799 0.0007549517
    < 10 0.0000000000 0.000000000 0.000000e+00 0.000000000 0.0000000000
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
    < 5 0.0002220446 -0.002309264 0.0002331468 -0.001870726 0.0002775558
    < 10 0.0000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
    ---
    > 1 9.163474e-02 -0.0361629801 -5.966820e-03 -0.0001078725 1.281769e-04
    > 5 6.949863e-05 -0.0016266396 -2.210121e-06 -0.0010432505 9.689471e-06
    > 10 8.615991e-03 -0.0007684082 2.153167e-06 -0.0022078730 2.259304e-06
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    > 1 0.000000000 0.000000000 0.0000000000 0.000000000 0.000000e+00 0.000000000
    > 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 9.992007e-05 0.002020606
    > 10 0.000000000 0.000000000 0.0000000000 0.000000000 0.000000e+00 0.000000000
    > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.000000000 0.000000000 0.00000000 0.000000000
    > 5 -0.001920686 0.001987299 -0.00156819 0.001176836
    > 10 0.000000000 0.000000000 0.00000000 0.000000000
    1978,1988c1978,1988
    < 1 -0.1914360 0.0005111669 -4.171328e-03 -0.0001118933 1.540835e-03
    < 5 0.0155647 -0.0244929147 -2.783035e-03 -0.0128769818 9.244027e-04
    < 10 0.1711809 -0.0110419981 5.551848e-05 -0.0438056157 7.427559e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.4678725783 0.008561096 8.197920e-03 0.001604463 -0.0015129239
    < 5 -0.0003523857 0.002725435 1.999473e-05 0.001538018 -0.0003899902
    < 10 0.0813895917 0.010001821 6.968969e-04 -0.004709531 0.0003703023
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.5774491996 -0.110822462 -0.0148316255 -0.0011102230 -0.0038295755
    < 5 -0.0007105427 0.001515454 -0.0009436896 0.0008326673 -0.0007438494
    < 10 -0.1015965090 -0.016959698 0.0006883383 -0.0130326305 0.0007993606
    ---
    > 1 -0.1914360 0.0005111674 -4.171328e-03 -0.0001118924 1.540835e-03
    > 5 0.0155647 -0.0244929149 -2.783036e-03 -0.0128769820 9.244024e-04
    > 10 0.1711809 -0.0110419981 5.551892e-05 -0.0438056157 7.427525e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.467650534 0.008239131 0.0082012162 0.0006496715 -0.0015143116
    > 5 0.001024291 0.002769844 0.0004862883 0.0017600628 0.0004537792
    > 10 0.081267467 0.010009800 0.0007079992 -0.0045693652 0.0003925066
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.577582426 -0.111244347 -0.0148305847 -0.0019761970 -0.0038392900
    > 5 -0.001554312 0.001570966 -0.0008992806 0.0008631984 -0.0003330669
    > 10 -0.101241238 -0.016943044 0.0011657342 -0.0129646294 0.0010103030
    1993,2003c1993,2003
    < 1 0.16699853 -0.0004459151 0.0036388443 0.0000976087 -0.001344142
    < 5 0.01750239 -0.0275421022 -0.0031295030 -0.0144800714 0.001039485
    < 10 -0.45396177 0.0292827276 -0.0001472336 0.1161699085 -0.000196976
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.191580085 -0.04010126 -0.0093905786 -4.440892e-05 0.0003559653
    < 5 -0.001265654 0.00487943 -0.0007438494 2.894907e-03 -0.0008548717
    < 10 0.767630404 -0.09054008 -0.0011435297 -2.389949e-01 -0.0013211654
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -2.559484e-01 0.0621182546 0.0103815034 5.742407e-06 2.213956e-03
    < 5 -8.593237e-05 -0.0004664564 -0.0004574013 2.890172e-04 -1.412370e-06
    < 10 6.399095e-01 0.0208115765 0.0008856348 -6.038860e-02 9.476183e-04
    ---
    > 1 0.16699853 -0.000445915 0.0036388443 9.760925e-05 -0.0013441420
    > 5 0.01750239 -0.027542102 -0.0031295035 -1.448007e-02 0.0010394844
    > 10 -0.45396177 0.029282728 -0.0001472331 1.161699e-01 -0.0001969759
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.1918132320 -0.039435122 -0.0093857214 -0.0001110223 0.0003989864
    > 5 -0.0004218847 0.005107026 -0.0006661338 0.0029864999 -0.0006772360
    > 10 0.7681744130 -0.090524463 -0.0009992007 -0.2389158316 -0.0008881784
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.2544274195 0.0621959703 0.0103841922 0.0006496718 0.0022458750
    > 5 -0.0002635679 -0.0002610651 -0.0003352767 0.0003445284 0.0003538591
    > 10 0.6393543773 0.0208032498 0.0012631107 -0.0606023212 0.0009587209
    2009,2018c2009,2018
    < 5 0.01172468 -0.07512963 -5.929005e-02 0.0215556738 -3.493162e-02
    < 10 0.15812579 -0.05460630 -7.488421e-05 -0.0448684340 3.857692e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0026423308 -0.1627920 -0.002771828 -0.0004218847 0.0299732461
    < 5 -0.0001332268 0.1761646 0.007749357 -0.0126204602 -0.0743960449
    < 10 -0.2603028904 0.1509914 0.001243450 0.0803093703 -0.0004996004
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.1563416063 0.2026934 0.003022409 -0.0005551115 -0.039307446
    < 5 0.0001554312 -0.3261835 -0.003996803 0.0067196249 0.122535315
    < 10 -0.1015298956 -0.1050156 -0.002520206 -0.0073330231 -0.001665335
    ---
    > 5 0.01172468 -0.07512963 -5.929005e-02 0.0215556739 -3.493162e-02
    > 10 0.15812578 -0.05460630 -7.488488e-05 -0.0448684340 3.857703e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    > 1 -0.001787459 -0.1621814 -0.002770787 -0.0001776357 0.029994757 -0.158795199
    > 5 -0.001443290 0.1760148 0.006783463 -0.0127287070 -0.075184303 0.002553513
    > 10 -0.260724775 0.1509983 0.001720846 0.0802621858 -0.001132427 -0.099975583
    > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.2018163 0.003015817 -0.001154632 -3.930675e-02
    > 5 -0.3259060 -0.002886580 0.006966649 1.228684e-01
    > 10 -0.1050032 -0.001998401 -0.007199796 -5.551115e-05
    2023,2025c2023,2025
    < 1 -2.823928e-02 0.185003157 4.796552e-03 -0.0001283527 -7.966126e-03
    < 5 -9.302825e-05 0.354249378 9.457133e-04 0.0032874300 -8.314710e-02
    < 10 -3.894220e-03 0.005142545 5.685896e-06 0.0015816660 -1.827227e-05
    ---
    > 1 -0.0282392827 0.185003157 4.796552e-03 -0.0001283527 -7.966126e-03
    > 5 -0.0000930287 0.354249378 9.457130e-04 0.0032874300 -8.314710e-02
    > 10 -0.0038942199 0.005142545 5.685452e-06 0.0015816660 -1.827227e-05
    2027,2029c2027,2029
    < 1 0.0000000000 0.000000 0.000000000 0.00000000 0.00000000 0.0000000000
    < 5 -0.0002664535 0.176098 0.007682743 -0.01262046 -0.07452927 0.0004218847
    < 10 0.0000000000 0.000000 0.000000000 0.00000000 0.00000000 0.0000000000
    ---
    > 1 0.000000000 0.0000000 0.000000000 0.00000000 0.0000000 0.000000000
    > 5 -0.001310063 0.1759815 0.006783463 -0.01271205 -0.0751843 0.002287059
    > 10 0.000000000 0.0000000 0.000000000 0.00000000 0.0000000 0.000000000
    2031,2033c2031,2033
    < 1 0.0000000 0.000000000 0.000000000 0.0000000
    < 5 -0.3260503 -0.003863576 0.006719625 0.1228018
    < 10 0.0000000 0.000000000 0.000000000 0.0000000
    ---
    > 1 0.0000000 0.00000000 0.000000000 0.0000000
    > 5 -0.3258394 -0.00288658 0.006933343 0.1228684
    > 10 0.0000000 0.00000000 0.000000000 0.0000000
    2038,2048c2038,2048
    < 1 0.037231464 0.08604624 5.259219e-03 -0.0001642869 0.0034302172
    < 5 -0.006517056 0.04176014 3.295585e-02 -0.0119815299 0.0194164304
    < 10 -0.074760513 0.02581739 3.540424e-05 0.0212134101 -0.0000182393
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0621190087 -0.08540906 -0.0028956290 -0.0009489323 0.0258752006
    < 5 -0.0005371178 0.25628330 -0.0035617923 0.0102152216 -0.0425906540
    < 10 -0.0389073739 -0.01159305 -0.0002302923 0.0083930425 0.0004538535
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.1915467784 0.24932278 0.0037039816 0.0008437695 -0.0480677997
    < 5 0.0001998401 0.18147706 0.0033195668 -0.0034916514 -0.0663025190
    < 10 0.0471400696 0.04955376 -0.0007993606 0.0033195668 -0.0002220446
    ---
    > 1 0.037231463 0.08604624 5.259219e-03 -0.0001642868 3.430217e-03
    > 5 -0.006517056 0.04176014 3.295585e-02 -0.0119815304 1.941643e-02
    > 10 -0.074760513 0.02581739 3.540501e-05 0.0212134101 -1.823874e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0610087855 -0.08409900 -0.0028929402 -0.0002161851 0.0259910802
    > 5 0.0002844472 0.25653865 -0.0024182628 0.0103428973 -0.0417912936
    > 10 -0.0392182364 -0.01163607 -0.0006188705 0.0083375314 0.0004427512
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.19239055 0.24932278 0.003701900 0.001509903 -0.048102494
    > 5 -0.00104361 0.18117174 0.001765255 -0.003824718 -0.067645889
    > 10 0.04675149 0.04959089 -0.001532108 0.003269607 -0.001865175
    2053,2054c2053,2054
    < 1 -0.032478744 -0.07506215 -4.587862e-03 0.0001433155 -2.992339e-03
    < 5 -0.007328382 0.04695897 3.705861e-02 -0.0134731425 2.183363e-02
    ---
    > 1 -0.032478744 -0.07506215 -4.587862e-03 0.0001433151 -2.992339e-03
    > 5 -0.007328382 0.04695897 3.705861e-02 -0.0134731424 2.183363e-02
    2057,2063c2057,2063
    < 1 0.0021538327 0.1729950 0.002963081 0.0003108624 -0.0320569959
    < 5 -0.0009769963 -0.1101674 -0.005484502 0.0076300077 0.0460964600
    < 10 -0.3256395154 0.1892878 0.000721645 0.1006777994 -0.0003219647
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.1085222702 -0.10245098 -0.0027290955 -0.0011931814 0.0311702706
    < 5 0.0002844475 0.55823065 0.0049314140 -0.0007260262 -0.1591973783
    < 10 -0.2869978106 -0.07179663 0.0005801708 0.0375530503 0.0007869205
    ---
    > 1 0.0013655743 0.1729172 0.0029592648 -0.001421085 -0.032075731
    > 5 -0.0002442491 -0.1100675 -0.0047517545 0.007757683 0.046274096
    > 10 -0.3263500581 0.1892979 0.0005218048 0.100618125 -0.001021405
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.1096546977 -0.10232886 -0.002728228 0.0012049003 0.0311550050
    > 5 0.0003954697 0.55816959 0.004431813 -0.0007482306 -0.1594527296
    > 10 -0.2875418200 -0.07185491 -0.001040755 0.0374572936 0.0004760582
    2068,2078c2068,2078
    < 1 0.0595716571 1.341879e-02 0.0722787329 -0.0007605944 -1.288056e-02
    < 5 0.0027118471 -5.705155e-02 -0.3158272829 0.1826448264 -2.498794e-02
    < 10 0.0001804166 -9.407860e-06 -0.0004331208 0.0111149258 2.334599e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -6.444845e-02 -0.046396220 -0.056137994 -4.440892e-05 -0.057334693
    < 5 2.220446e-05 0.007538414 0.039213077 -1.459693e-01 0.006772360
    < 10 -1.354472e-03 0.000125594 0.004118927 -3.810702e-02 -0.001165734
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -1.861844e-01 0.071320727 0.057602968 -0.001088019 0.076667839
    < 5 6.217249e-04 -0.006283862 -0.028643754 0.127420297 -0.004884981
    < 10 -2.220446e-05 -0.000113104 -0.004540812 0.031925851 -0.001809664
    ---
    > 1 0.0595716566 1.341879e-02 0.0722787329 -0.0007605947 -1.288056e-02
    > 5 0.0027118469 -5.705155e-02 -0.3158272829 0.1826448262 -2.498794e-02
    > 10 0.0001804168 -9.407846e-06 -0.0004331201 0.0111149258 2.334699e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.064981354 -0.0467403893 -0.056143892 -0.0005995204 -0.057358979
    > 5 0.001088019 0.0072719608 0.038791192 -0.1459082855 0.006072920
    > 10 -0.001254552 0.0001110223 0.003552714 -0.0381125687 -0.000144329
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -1.853406e-01 0.072086781 0.057606003 -0.0002664535 0.076683798
    > 5 -6.661338e-05 -0.005961898 -0.028421709 0.1275035633 -0.004829470
    > 10 8.437695e-04 -0.000075287 -0.002675637 0.0320563021 -0.001099121
    2083,2085c2083,2085
    < 1 -3.539162e-02 5.056612e-02 8.698175e-02 -0.0007680380 1.565517e-02
    < 5 -1.385334e-04 9.823548e-04 5.322138e-03 -0.0506318039 6.196551e-04
    < 10 -7.327472e-09 6.938894e-12 4.440892e-09 -0.0001712277 -1.199041e-08
    ---
    > 1 -3.539162e-02 5.056612e-02 8.698175e-02 -0.0007680381 1.565517e-02
    > 5 -1.385334e-04 9.823548e-04 5.322137e-03 -0.0506318040 6.196549e-04
    > 10 -7.105427e-09 6.938894e-12 4.884981e-09 -0.0001712277 -1.154632e-08
    2087,2089c2087,2089
    < 1 0.000000e+00 0.000000000 0.00000000 0.0000000 0.000000000 0.0000000000
    < 5 2.220446e-05 0.007538414 0.03921308 -0.1459693 0.006628031 0.0006217249
    < 10 0.000000e+00 0.000000000 0.00000000 0.0000000 0.000000000 0.0000000000
    ---
    > 1 0.000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000e+00
    > 5 0.001088019 0.007271961 0.03879119 -0.1459444 0.00607292 -6.661338e-05
    > 10 0.000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000e+00
    2091,2093c2091,2093
    < 1 0.000000000 0.00000000 0.0000000 0.000000000
    < 5 -0.006283862 -0.02864375 0.1274203 -0.004796163
    < 10 0.000000000 0.00000000 0.0000000 0.000000000
    ---
    > 1 0.000000000 0.00000000 0.0000000 0.00000000
    > 5 -0.005961898 -0.02842171 0.1275258 -0.00482947
    > 10 0.000000000 0.00000000 0.0000000 0.00000000
    2098,2108c2098,2108
    < 1 7.292058e-02 1.642570e-02 0.0884750814 -0.0009310296 -1.576685e-02
    < 5 -1.507357e-03 3.171160e-02 0.1755497954 -0.1015215074 1.388932e-02
    < 10 -8.529899e-05 4.447945e-06 0.0002047759 -0.0052550414 -1.103773e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.1735892761 -1.935192e-02 -0.054020826 -0.0003627149 -0.041751111
    < 5 -0.0001607373 -3.003346e-03 -0.016360518 0.0303478637 -0.002577787
    < 10 -0.0007466378 -6.830776e-05 -0.002941953 0.0066397849 -0.001244604
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.2281286271 8.777423e-02 0.070516596 -0.0003774758 0.0938235600
    < 5 0.0004218847 3.580469e-03 0.016686652 -0.0707378600 0.0038857806
    < 10 -0.0008215650 1.908196e-05 0.001121325 -0.0152003410 -0.0001776357
    ---
    > 1 7.292058e-02 1.642570e-02 0.0884750813 -0.0009310297 -1.576685e-02
    > 5 -1.507357e-03 3.171160e-02 0.1755497949 -0.1015215078 1.388932e-02
    > 10 -8.529921e-05 4.447956e-06 0.0002047762 -0.0052550414 -1.103739e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.1731784937 -1.908547e-02 -0.054012846 0.0003256235 -0.041712947
    > 5 -0.0008268712 -3.219839e-03 -0.016160678 0.0303034547 -0.002699912
    > 10 -0.0006800245 -5.408303e-05 -0.002286922 0.0066647650 -0.001044764
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.2276179245 8.837375e-02 0.070513300 8.881784e-05 0.093868663
    > 5 0.0011990409 3.508305e-03 0.016286972 -7.062684e-02 0.003330669
    > 10 0.0002331468 3.018419e-05 0.001298961 -1.517120e-02 0.000965894
    2113,2123c2113,2123
    < 1 -0.0636120275 -0.0143289044 -0.0771809445 0.0008121802 1.375416e-02
    < 5 -0.0016950114 0.0356594578 0.1974044531 -0.1141601885 1.561844e-02
    < 10 0.0002262088 -0.0000117957 -0.0005430529 0.0139360598 2.927147e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0680899781 0.0497157870 0.05994398 0.0001776357 0.061269045
    < 5 0.0010658141 -0.0045130566 -0.02354783 0.0914102127 -0.002897682
    < 10 -0.0008104628 0.0001561251 0.00512923 -0.0479158380 0.001310063
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.1050878051 -0.0406348973 -0.046805157 0.001746709 -0.0532766136
    < 5 -0.0004938046 0.0052289579 0.022686026 -0.130442961 0.0036172573
    < 10 0.0003635856 -0.0001366559 -0.003030771 0.028860899 0.0006205714
    ---
    > 1 -0.0636120274 -1.432890e-02 -0.077180944 0.0008121808 1.375416e-02
    > 5 -0.0016950116 3.565946e-02 0.197404453 -0.1141601887 1.561844e-02
    > 10 0.0002262085 -1.179571e-05 -0.000543053 0.0139360597 2.927147e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0688005208 0.0499600361 0.059946579 0.0004440892 0.0612773721
    > 5 -0.0001998401 -0.0047295501 -0.024680258 0.0912409037 -0.0039301895
    > 10 -0.0011657342 0.0001557782 0.005295764 -0.0478242446 0.0008548717
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.034447e-01 -0.0412677243 -0.046809667 0.001058371 -0.0533015936
    > 5 -1.803868e-03 0.0048403798 0.022241936 -0.130595617 0.0029622258
    > 10 -1.389017e-05 -0.0001404723 -0.004318629 0.028733223 -0.0008116162
    2128,2138c2128,2138
    < 1 -0.0005028644 -9.699241e-06 -0.0176521868 0.0009921307 -1.212553e-03
    < 5 0.0096056769 1.666825e-02 0.1686842803 -0.1999096633 5.829742e-03
    < 10 0.1691118553 -1.216878e-02 0.0003768611 -0.2193776309 9.145196e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0007327472 -0.0007660539 0.002223395 0.0001998401 -1.387779e-05
    < 5 0.0005329071 0.0091981978 -0.024691360 0.2620653694 -2.046141e-02
    < 10 -0.2725930592 0.0350029034 -0.003175238 0.3629110901 -1.254552e-03
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0004107825 -0.0006106227 -0.001816169 -0.001088019 -5.412337e-05
    < 5 -0.0003996803 -0.0138000722 0.018496316 -0.311464743 3.088640e-02
    < 10 -0.1086242207 -0.0190975707 0.001243450 -0.154533331 -7.549517e-04
    ---
    > 1 -0.0005028642 -9.699463e-06 -0.0176521868 0.0009921306 -1.212553e-03
    > 5 0.0096056775 1.666825e-02 0.1686842803 -0.1999096630 5.829742e-03
    > 10 0.1691118553 -1.216878e-02 0.0003768608 -0.2193776310 9.145218e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 4.440892e-05 -0.0001221245 0.002225390 0.0005107026 -5.551115e-06
    > 5 1.110223e-04 0.0091537888 -0.023980817 0.2620736961 -1.967315e-02
    > 10 -2.724043e-01 0.0350469653 -0.001987299 0.3630221124 -8.770762e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.110223e-05 2.220446e-05 -0.001810271 0.0001332268 6.938894e-06
    > 5 1.376677e-03 -1.331713e-02 0.020661250 -0.3111871871 3.226308e-02
    > 10 -1.073697e-01 -1.908092e-02 0.001587619 -0.1544278594 8.659740e-04
    2143,2145c2143,2145
    < 1 -5.028740e-04 -9.699352e-06 -1.800810e-02 0.0009921314 -1.213108e-03
    < 5 5.419287e-05 2.012064e-02 -3.475365e-03 0.2569725626 -1.812321e-02
    < 10 -4.327225e-03 6.223513e-04 -1.527445e-05 0.0136778551 -2.033396e-05
    ---
    > 1 -5.028739e-04 -9.699463e-06 -1.800810e-02 0.0009921313 -1.213108e-03
    > 5 5.419243e-05 2.012064e-02 -3.475365e-03 0.2569725625 -1.812321e-02
    > 10 -4.327224e-03 6.223513e-04 -1.527445e-05 0.0136778551 -2.033396e-05
    2147,2149c2147,2149
    < 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.0000000 0.0000000000
    < 5 0.0002442491 0.009164891 -0.02463585 0.2619932 -0.0204281 -0.0002220446
    < 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.0000000 0.0000000000
    ---
    > 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    > 5 0.0002664535 0.009214851 -0.02399192 0.2620293 -0.02002842 0.001465494
    > 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    2152c2152
    < 5 -0.01373346 0.01879608 -0.3113426 0.03099743
    ---
    > 5 -0.01323386 0.02018385 -0.3111095 0.03221867
    2158,2168c2158,2168
    < 1 -0.0006155474 -1.187306e-05 -0.0216077206 0.001214449 -0.0014842635
    < 5 -0.0053392294 -9.264900e-03 -0.0937616617 0.111118014 -0.0032404096
    < 10 -0.0799546319 5.753295e-03 -0.0001781758 0.103719859 -0.0000432373
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0003774663 4.440903e-05 0.0023684651 0.0003996812 -2.137211e-05
    < 5 0.0007425307 1.497475e-02 0.0106244673 0.1114250995 -6.377054e-03
    < 10 -0.0450417869 -3.760558e-03 0.0009845412 0.0614524766 7.763922e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0009214851 -0.0006994405 -0.002221053 -0.0008437695 -6.869505e-05
    < 5 -0.0007549517 0.0078714812 -0.011679546 0.1730504628 -1.788569e-02
    < 10 0.0504596365 0.0089921126 -0.001221245 0.0728930805 -1.887379e-03
    ---
    > 1 -0.0006155476 -1.187317e-05 -0.0216077206 0.001214449 -1.484263e-03
    > 5 -0.0053392301 -9.264900e-03 -0.0937616617 0.111118014 -3.240410e-03
    > 10 -0.0799546321 5.753295e-03 -0.0001781765 0.103719859 -4.323808e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0008104529 6.661327e-05 0.002367338 0.0001776365 -0.0000296988
    > 5 0.0003650548 1.464724e-02 0.009758493 0.1112391371 -0.0074872775
    > 10 -0.0448086400 -3.769232e-03 0.000507145 0.0614205576 0.0004877342
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0001998401 -0.0001554312 -0.002213507 0.00000000 -1.387779e-05
    > 5 -0.0010436096 0.0082212015 -0.011168844 0.17308099 -1.798561e-02
    > 10 0.0499822406 0.0090049496 -0.001021405 0.07294026 -1.709743e-03
    2173,2183c2173,2183
    < 1 0.0005369707 1.035694e-05 0.0188494236 -0.001059421 0.0012947923
    < 5 -0.0060039257 -1.041831e-02 -0.1054342988 0.124951389 -0.0036438169
    < 10 0.2120349669 -1.525740e-02 0.0004725135 -0.275058947 0.0001146628
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0001332268 0.0002109424 -0.002382122 -0.000577316 -1.387779e-06
    < 5 -0.0002442491 -0.0057620575 0.015420998 -0.163760672 1.203482e-02
    < 10 -0.3423705763 0.0439009940 -0.003730349 0.455063764 -5.662137e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0004773863 0.000188738 0.001585498 0.0006883392 1.193459e-05
    < 5 -0.0002788745 0.028841438 -0.014655311 0.4515446986 -3.679717e-02
    < 10 -0.3085421195 -0.011103296 0.002616569 0.0394076105 1.142766e-03
    ---
    > 1 0.0005369704 1.035705e-05 0.0188494236 -0.001059421 0.0012947923
    > 5 -0.0060039258 -1.041831e-02 -0.1054342988 0.124951389 -0.0036438172
    > 10 0.2120349669 -1.525740e-02 0.0004725133 -0.275058947 0.0001146629
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0002442491 0.0002553513 -0.002381862 -0.0003552714 1.595946e-05
    > 5 -0.0002886580 -0.0056732397 0.015698554 -0.1638522651 1.240119e-02
    > 10 -0.3417044425 0.0439155656 -0.002642331 0.4551345412 3.441691e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 8.880835e-05 -0.0001221245 0.001580814 -0.0003774749 -2.900488e-05
    > 5 2.318281e-04 0.0286860069 -0.015343649 0.4516279654 -3.720795e-02
    > 10 -3.079426e-01 -0.0111029487 0.002883023 0.0395283473 1.531344e-03
    2188,2198c2188,2198
    < 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311508e-04 -4.072218e-02
    < 5 -1.291512e-03 -1.034015e-02 -2.031862e-02 2.309196e-02 7.968644e-02
    < 10 -1.988409e-07 7.164833e-05 9.272583e-07 6.388334e-06 4.638123e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0209721129 0.0418887147 -0.0157263091 -2.220446e-04 -0.2069351634
    < 5 -0.0006661338 -0.0722200078 0.0030531133 -3.874678e-02 0.2607358773
    < 10 0.0005440093 -0.0005061923 0.0008326673 7.771561e-05 0.0009103829
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0018429702 -0.0484723373 0.0158742811 0.0001332268 2.699264e-01
    < 5 0.0011102230 0.1260103133 -0.0018318680 0.0449501547 -4.311107e-01
    < 10 0.0001665335 0.0005440093 0.0008437695 0.0001165734 3.330669e-05
    ---
    > 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311511e-04 -4.072218e-02
    > 5 -1.291511e-03 -1.034015e-02 -2.031862e-02 2.309196e-02 7.968644e-02
    > 10 -1.996181e-07 7.164832e-05 9.262591e-07 6.388307e-06 4.638101e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.021160851 0.0427768931 -1.572180e-02 4.218847e-04 -0.2069115712
    > 5 -0.001021405 -0.0725530747 2.209344e-03 -3.879674e-02 0.2602251747
    > 10 0.000721645 -0.0005058454 -3.330669e-05 2.775558e-06 0.0004884981
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -1.854072e-03 -0.0475619544 0.0158729800 -1.110223e-04 0.2699132584
    > 5 6.661338e-05 0.1261157845 -0.0019984014 4.480027e-02 -0.4313882584
    > 10 -8.881784e-04 0.0005356826 0.0002553513 -2.775558e-05 -0.0006550316
    2203,2205c2203,2205
    < 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258284e-04 5.445139e-02
    < 5 2.809886e-05 -7.345513e-02 3.396605e-04 -1.533200e-02 2.539040e-01
    < 10 -2.565725e-07 -2.787156e-05 -1.707301e-06 -9.407752e-07 5.954681e-05
    ---
    > 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258285e-04 5.445139e-02
    > 5 2.809908e-05 -7.345513e-02 3.396605e-04 -1.533200e-02 2.539040e-01
    > 10 -2.570166e-07 -2.787156e-05 -1.707745e-06 -9.407752e-07 5.954681e-05
    2207,2209c2207,2209
    < 1 0.0000000000 0.0000000 0.00000000 0.00000000 0.0000000 0.0000000000
    < 5 -0.0009992007 -0.0721756 0.00318634 -0.03877176 0.2607026 0.0009769963
    < 10 0.0000000000 0.0000000 0.00000000 0.00000000 0.0000000 0.0000000000
    ---
    > 1 0.000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00
    > 5 -0.001199041 -0.07262524 0.002620126 -0.03883283 0.2604028 6.661338e-05
    > 10 0.000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00
    2211,2213c2211,2213
    < 1 0.000000 0.000000000 0.00000000 0.0000000
    < 5 0.125927 -0.001876277 0.04495571 -0.4312217
    < 10 0.000000 0.000000000 0.00000000 0.0000000
    ---
    > 1 0.0000000 0.000000000 0.00000000 0.0000000
    > 5 0.1259548 -0.002509104 0.04482248 -0.4318879
    > 10 0.0000000 0.000000000 0.00000000 0.0000000
    2218,2228c2218,2228
    < 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053551e-04 -4.984727e-02
    < 5 7.178743e-04 5.747480e-03 1.129392e-02 -1.283546e-02 -4.429300e-02
    < 10 9.403589e-08 -3.387471e-05 -4.377609e-07 -3.020320e-06 -2.192901e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0349084567 0.0207371104 -0.0149353220 0.0002273669 -0.158095367
    < 5 0.0001613258 -0.0331706918 -0.0010037091 0.0061230601 0.108797816
    < 10 -0.0005551686 0.0001148919 -0.0008019945 -0.0001905159 -0.001019341
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0024868996 -0.0576871884 0.019422484 -6.883383e-04 3.303698e-01
    < 5 0.0008437695 -0.0701882996 0.002253753 -2.463585e-02 2.409961e-01
    < 10 -0.0001443290 -0.0002466777 0.001121325 6.106227e-05 -7.771561e-05
    ---
    > 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053549e-04 -4.984727e-02
    > 5 7.178744e-04 5.747480e-03 1.129392e-02 -1.283546e-02 -4.429300e-02
    > 10 9.392487e-08 -3.387472e-05 -4.378720e-07 -3.020417e-06 -2.192901e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0354857727 0.0209702570 -0.0149315923 -3.055403e-04 -0.1581335314
    > 5 -0.0005936259 -0.0333039186 -0.0012812647 6.028691e-03 0.1084203399
    > 10 0.0003219077 0.0001412597 0.0004636598 -6.284018e-05 -0.0001089583
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0021538327 -0.0578537218 0.0194230916 0.0009325873 0.3304044538
    > 5 0.0003774758 -0.0701438907 0.0008992806 -0.0247080134 0.2404298982
    > 10 -0.0003996803 -0.0002615963 0.0014099832 0.0001346145 0.0005218048
    2233,2243c2233,2243
    < 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536106e-04 4.348411e-02
    < 5 8.072448e-04 6.462999e-03 1.269993e-02 -1.443338e-02 -4.980715e-02
    < 10 -2.502443e-07 8.983374e-05 1.161848e-06 8.009773e-06 5.815393e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0227817765 -0.0450861570 0.0167896079 3.552714e-04 0.2209510352
    < 5 -0.0008881784 0.0449584814 -0.0024535929 2.400580e-02 -0.1635358515
    < 10 -0.0006772360 -0.0006623174 -0.0005884182 -5.689893e-05 -0.0003774758
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0083963309 0.0209369502 -0.012639676 -6.608116e-04 -0.1930604538
    < 5 0.0016490252 -0.1519756576 0.003348365 -4.320137e-02 0.5252868815
    < 10 -0.0007328049 0.0005589812 -0.001290493 6.548678e-06 -0.0009971373
    ---
    > 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536108e-04 4.348411e-02
    > 5 8.072450e-04 6.462999e-03 1.269993e-02 -1.443338e-02 -4.980715e-02
    > 10 -2.496892e-07 8.983374e-05 1.161959e-06 8.009801e-06 5.815393e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0225153229 -0.0453082016 0.016787873 4.440892e-05 0.220927443
    > 5 -0.0002442491 0.0449085213 -0.002509104 2.395306e-02 -0.163613567
    > 10 -0.0007327472 -0.0006727258 -0.001432188 -2.539635e-04 -0.001221245
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0072639035 0.0224468535 -0.0126278795 0.0003827979 -0.1930042488
    > 5 0.0006942333 -0.1520755777 0.0023935732 -0.0431597399 0.5252202680
    > 10 0.0007104851 0.0006089412 0.0006746021 0.0002230422 0.0009679576
    2248,2258c2248,2258
    < 1 -0.02466725 -0.03881773 0.0002818689 -0.0004455033 0.0055523561
    < 5 -0.06354754 -0.02869930 0.0035964782 0.0454795475 -0.0030955767
    < 10 -1.18232018 -0.03474126 -0.0005452522 0.1935395358 -0.0005428681
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.070454753 -0.0499378316 -1.814000e-03 0.001731948 0.0107011622
    < 5 0.001665335 0.0005717649 8.881784e-05 -0.013175572 0.0002553513
    < 10 1.371169844 0.1646693198 1.143530e-03 -0.239892828 0.0009880985
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.2423394818 3.037237e-01 0.0029880612 -0.000288658 -0.0331665251
    < 5 0.0002220446 -3.885781e-05 -0.0005107026 -0.006189493 0.0004996004
    < 10 0.9967471293 -3.749223e-02 0.0009436896 0.036119718 0.0003219647
    ---
    > 1 -0.02466725 -0.03881773 0.0002818689 -0.0004455039 0.0055523561
    > 5 -0.06354754 -0.02869930 0.0035964780 0.0454795474 -0.0030955770
    > 10 -1.18232018 -0.03474126 -0.0005452517 0.1935395359 -0.0005428668
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.070432549 -0.0501487740 -0.0018135667 0.001110223 0.0107067133
    > 5 0.001887379 0.0006883383 0.0007993606 -0.013056223 0.0006439294
    > 10 1.371225355 0.1646707076 0.0008659740 -0.239881726 0.0013766766
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.2419398015 0.3037459173 0.0029897092 0.0001776357 -3.315681e-02
    > 5 0.0005329071 0.0001776357 -0.0003330669 -0.0062588823 -5.551115e-05
    > 10 0.9960476888 -0.0375255382 0.0002775558 0.0359462460 -8.215650e-04
    2263,2273c2263,2273
    < 1 -0.6264994451 4.100418e-03 0.0059716341 -0.00137778 -2.316509e-03
    < 5 -0.0204809042 7.100277e-03 -0.0176212369 0.05184110 -1.386693e-03
    < 10 -0.0003509966 -9.323608e-06 -0.0004380035 0.02437201 -2.752143e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.9787393118 0.0636823927 -0.015081859 0.0009992007 -0.0098324127
    < 5 -0.0008437695 -0.0002831069 -0.001065814 -0.0074523721 -0.0016098234
    < 10 0.0032418512 0.0001072059 0.004085621 -0.0935973521 -0.0002775558
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.339195421 -1.381451e-01 0.0305695573 2.220446e-05 0.0301529635
    < 5 0.001110223 6.106227e-05 0.0007993606 -1.229572e-03 0.0012434498
    < 10 -0.001409983 -3.642919e-05 -0.0014432899 5.285911e-02 0.0004107825
    ---
    > 1 -0.6264994450 4.100418e-03 0.0059716341 -0.00137778 -2.316509e-03
    > 5 -0.0204809040 7.100277e-03 -0.0176212369 0.05184110 -1.386693e-03
    > 10 -0.0003509967 -9.323611e-06 -0.0004380036 0.02437201 -2.752165e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.9778733379 6.297185e-02 -0.0150873238 -0.0005329071 -9.869883e-03
    > 5 0.0003774758 -4.440892e-05 0.0003996803 -0.0072247763 -2.109424e-04
    > 10 0.0027866598 9.714451e-05 0.0037414516 -0.0935918010 -4.440892e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.3408163468 -1.364464e-01 0.0305797054 0.001332268 0.0302570469
    > 5 0.0004440892 -1.665335e-04 0.0001887379 -0.001409983 0.0002442491
    > 10 -0.0023980817 -6.349088e-05 -0.0026645353 0.052753635 -0.0004773959
    2278,2288c2278,2288
    < 1 0.0007378603 -0.0001109124 -0.0086395551 0.0007646158 -0.0003863349
    < 5 -0.0470257372 0.0487535607 0.0198264967 -0.0330590413 -0.0022706467
    < 10 -0.9267771053 0.0248761580 0.0001745568 -0.1488665938 -0.0001705667
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0003108624 0.0003996803 0.003209325 0.0007327472 1.526557e-05
    < 5 0.0014210855 -0.0228039809 -0.001332268 0.0002414735 -8.437695e-04
    < 10 0.9464096173 -0.0395392052 -0.001754152 0.5559566696 7.660539e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.001287859 -0.0007882583 -0.003366751 -0.0009325873 -1.526557e-05
    < 5 0.002264855 -0.0080990770 0.001243450 0.0002498002 1.409983e-03
    < 10 0.699096336 0.0428976299 0.002164935 -0.0012503887 4.773959e-04
    ---
    > 1 0.0007378604 -0.0001109126 -0.0086395551 0.0007646159 -0.0003863348
    > 5 -0.0470257371 0.0487535608 0.0198264970 -0.0330590412 -0.0022706467
    > 10 -0.9267771055 0.0248761580 0.0001745566 -0.1488665938 -0.0001705668
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0001221245 -0.0001998401 0.0032091517 -0.0003330669 5.551115e-06
    > 5 0.0022426505 -0.0227207142 -0.0002109424 0.0004579670 4.329870e-04
    > 10 0.9468759110 -0.0395319194 -0.0018429702 0.5559788741 1.587619e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 5.551115e-04 0.0004884981 -3.358251e-03 5.329071e-04 2.567391e-05
    > 5 2.220446e-05 -0.0086042284 -8.881784e-05 -8.604228e-05 -5.551115e-04
    > 10 6.982193e-01 0.0428782010 7.549517e-04 -1.423861e-03 -1.543210e-03
    2293,2303c2293,2303
    < 1 -3.524204e-01 -0.0036737534 -5.345182e-03 -6.740855e-04 -2.293194e-02
    < 5 -1.545181e-03 0.0172112925 8.605979e-04 7.059142e-03 -1.421068e-03
    < 10 5.195844e-08 0.0001321922 -1.170619e-06 5.837886e-06 6.555867e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.7364331367 0.064259709 0.0068575354 3.108624e-04 -0.0356291385
    < 5 0.0005551115 -0.004696243 0.0002220446 -1.815215e-03 0.0002886580
    < 10 0.0002442491 -0.000859729 -0.0009769963 4.024558e-05 -0.0001332268
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.7281397707 -0.2377764652 -0.0064399874 -5.995204e-04 1.442874e-01
    < 5 0.0007771561 -0.0006050715 0.0013877788 1.026956e-04 1.110223e-05
    < 10 0.0001998401 0.0007056855 0.0001998401 -3.747003e-05 5.218048e-04
    ---
    > 1 -3.524204e-01 -0.0036737542 -5.345182e-03 -6.740863e-04 -2.293194e-02
    > 5 -1.545181e-03 0.0172112923 8.605977e-04 7.059142e-03 -1.421068e-03
    > 10 5.140333e-08 0.0001321922 -1.171396e-06 5.837802e-06 6.548095e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.7359002296 0.0638045172 0.006854413 -3.996803e-04 -0.0356506491
    > 5 -0.0003330669 -0.0049182880 -0.000432987 -1.892930e-03 -0.0002220446
    > 10 0.0001887379 -0.0008611167 -0.001199041 -1.665335e-05 -0.0001887379
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.7291278692 -0.2368327756 -0.006436952 8.881784e-05 1.443234e-01
    > 5 0.0005773160 -0.0003941292 0.001376677 5.273559e-05 4.440892e-05
    > 10 0.0007882583 0.0007140122 0.001076916 -1.665335e-05 9.436896e-04
    2308,2318c2308,2318
    < 1 0.1216288715 1.010428e-01 0.0129129544 9.811807e-05 0.0096845095
    < 5 0.0104474157 -1.010648e-01 -0.1919944500 1.673755e-01 -0.0132539839
    < 10 0.0004057651 -8.664638e-06 -0.0003809031 1.375035e-02 0.0000913275
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.060762506 -2.929545e-01 -0.007349937 2.220446e-05 0.041484871
    < 5 0.000865974 5.123679e-03 0.016153745 -1.263489e-01 0.002697842
    < 10 -0.002653433 8.673617e-05 0.002797762 -4.166667e-02 -0.001165734
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.5231814981 3.658185e-01 0.007811460 0.00184297 -5.670325e-02
    < 5 -0.0011990409 -3.758105e-03 -0.010191847 0.08143763 -1.909584e-03
    < 10 0.0007105427 -9.089951e-05 -0.003652634 0.03889666 5.551115e-05
    ---
    > 1 0.1216288720 1.010428e-01 0.0129129544 9.811785e-05 0.0096845095
    > 5 0.0104474158 -1.010648e-01 -0.1919944500 1.673755e-01 -0.0132539841
    > 10 0.0004057653 -8.664642e-06 -0.0003809031 1.375035e-02 0.0000913275
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0603517236 -0.2937317056 -0.007352365 -0.000577316 0.041457116
    > 5 -0.0004218847 0.0048183679 0.014765966 -0.126468280 0.001798561
    > 10 -0.0027422509 0.0000947159 0.003097522 -0.041652792 -0.001132427
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.5243028234 0.3660405312 0.007810506 0.001620926 -0.0566824365
    > 5 0.0000000000 -0.0035804693 -0.009081624 0.081445961 -0.0010436096
    > 10 0.0007882583 -0.0000915934 -0.003108624 0.038918868 -0.0001665335
    2323,2333c2323,2333
    < 1 -0.0004187254 0.000245435 -0.0005131758 0.000267768 -0.0010347530
    < 5 0.0281674577 0.270695098 0.0549985039 -0.139974312 -0.1044487197
    < 10 0.8782746199 -0.093315967 0.0005677642 -0.543805334 0.0004404503
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0001332268 0.0003774758 2.411266e-05 6.661338e-05 4.371503e-05
    < 5 -0.0004440892 0.1103450664 1.243450e-03 1.707717e-01 -9.943157e-02
    < 10 -1.0593637079 0.2127329563 -2.642331e-03 6.460846e-01 -1.576517e-03
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 9.992007e-05 -0.0001776357 -2.654127e-05 -0.0004884981 -1.040834e-05
    < 5 -2.375877e-03 -0.2460143200 -2.342571e-03 -0.0886318796 1.578515e-01
    < 10 -8.246737e-01 -0.1579441439 9.547918e-04 -0.1716529696 9.436896e-04
    ---
    > 1 -0.0004187246 0.0002454353 -0.0005131758 0.0002677683 -0.0010347530
    > 5 0.0281674578 0.2706950980 0.0549985044 -0.1399743114 -0.1044487195
    > 10 0.8782746196 -0.0933159674 0.0005677636 -0.5438053339 0.0004404499
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -2.220446e-05 -0.0002775558 1.708703e-05 -0.0003996803 -7.632783e-06
    > 5 -1.110223e-04 0.1102951064 2.109424e-03 0.1708577724 -9.884316e-02
    > 10 -1.059053e+00 0.2127523852 -2.264855e-03 0.6461386981 -5.884182e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0001554312 0.0002997602 -2.237793e-05 0.0003552714 2.567391e-05
    > 5 -0.0015765167 -0.2457700710 -2.553513e-03 -0.0884847751 1.585510e-01
    > 10 -0.8247735828 -0.1579583686 -3.330669e-04 -0.1717792575 -1.443290e-04
    2338,2348c2338,2348
    < 1 7.726916e-02 2.462559e-01 1.444145e-02 -1.702302e-04 -0.0011435364
    < 5 -1.669579e-03 2.395467e-02 -3.079980e-02 3.115252e-02 0.1865715714
    < 10 -4.757306e-07 -9.647318e-07 5.882406e-06 2.540028e-05 0.0002437452
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0918043419 -0.3098965529 -0.007520720 2.220446e-05 -0.052535754
    < 5 0.0004218847 0.2527700271 0.003863576 -4.347078e-02 0.217614815
    < 10 0.0022870594 0.0000520417 0.001998401 4.163336e-06 0.002509104
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.3157585304 3.829825e-01 0.008045561 -0.0003774758 0.067361394
    < 5 0.0007105427 -4.362011e-01 -0.002853273 0.0376088050 -0.314659410
    < 10 -0.0011324275 -3.226586e-05 -0.001065814 0.0004135581 -0.001065814
    ---
    > 1 7.726916e-02 2.462559e-01 1.444145e-02 -1.702297e-04 -0.0011435364
    > 5 -1.669579e-03 2.395467e-02 -3.079980e-02 3.115252e-02 0.1865715716
    > 10 -4.753975e-07 -9.647352e-07 5.882517e-06 2.540022e-05 0.0002437452
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.091981978 -3.098410e-01 -0.007521241 0.0004440892 -0.052521182
    > 5 0.001065814 2.530143e-01 0.004174439 -0.0433819647 0.217981189
    > 10 0.001287859 3.469447e-05 0.001176836 -0.0001679212 0.001054712
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.3145705918 3.837486e-01 0.0080528466 -0.0004884981 0.0673676392
    > 5 -0.0026201263 -4.370670e-01 -0.0054956040 0.0371730424 -0.3167244245
    > 10 -0.0009325873 -8.326673e-06 -0.0005107026 0.0002609024 -0.0004551914
    2353,2363c2353,2363
    < 1 -0.003537293 3.440870e-05 0.0002428329 0.0072136683 -0.0046351080
    < 5 0.010450845 -7.184590e-02 -0.4796558328 -0.4060867921 -0.0302073596
    < 10 0.001176698 -5.155399e-05 -0.0023774810 -0.0002928755 0.0001158902
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.000288658 -5.551115e-05 -6.071532e-07 8.881784e-05 7.285839e-05
    < 5 -0.002575717 3.069212e-02 1.625589e-01 3.091138e-02 2.347011e-02
    < 10 -0.009614531 5.235395e-04 1.744160e-02 2.714495e-03 6.217249e-04
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0003441691 0.0003885781 2.255141e-06 0.0001332268 2.081668e-06
    < 5 0.0014654944 -0.0252631249 -1.195488e-01 -0.0255045984 -2.150502e-02
    < 10 0.0047073456 -0.0004336809 -1.513234e-02 -0.0021246893 -1.032507e-03
    ---
    > 1 -0.003537293 3.440803e-05 0.0002428329 0.0072136680 -0.0046351080
    > 5 0.010450845 -7.184590e-02 -0.4796558331 -0.4060867921 -0.0302073598
    > 10 0.001176697 -5.155399e-05 -0.0023774812 -0.0002928755 0.0001158896
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0002997602 0.0005662137 -1.214306e-06 -0.0004218847 6.383782e-05
    > 5 -0.0031308289 0.0307975867 1.624256e-01 0.0309252624 2.355893e-02
    > 10 -0.0086153307 0.0005530298 1.820766e-02 0.0028338443 1.709743e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0005218048 -0.0009547918 7.806256e-07 0.0007105427 9.020562e-06
    > 5 0.0019539925 -0.0252076138 -1.190603e-01 -0.0254157806 -2.139400e-02
    > 10 0.0053623772 -0.0004319461 -1.452172e-02 -0.0020719537 -7.771561e-05
    2368,2378c2368,2378
    < 1 1.647730e-01 1.403681e-02 1.852824e-01 -3.873933e-03 -1.597542e-01
    < 5 -2.170963e-04 -6.116294e-04 -1.486475e-02 5.543505e-02 -1.588004e-02
    < 10 4.794942e-06 2.072995e-08 5.888179e-06 7.576717e-07 5.888845e-06
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.356781271 6.461498e-03 -0.1078134977 0.0009547918 -4.961018e-01
    < 5 -0.001199041 2.609024e-04 -0.0001887379 -0.0599631456 -1.110223e-05
    < 10 -0.001454392 -2.046974e-05 -0.0013100632 -0.0002109424 -1.498801e-03
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.293332025 0.0348165941 0.1061049686 -0.0018429702 0.6975177380
    < 5 0.001332268 -0.0002886580 0.0001554312 0.0629690744 0.0002331468
    < 10 0.001354472 0.0000357353 0.0010991208 0.0001387779 0.0008992806
    ---
    > 1 1.647730e-01 1.403681e-02 1.852824e-01 -3.873932e-03 -1.597542e-01
    > 5 -2.170970e-04 -6.116294e-04 -1.486475e-02 5.543505e-02 -1.588004e-02
    > 10 4.794276e-06 2.072301e-08 5.887957e-06 7.576301e-07 5.888623e-06
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.356625840 6.306067e-03 -1.078121e-01 0.0011990409 -0.4960955258
    > 5 -0.002287059 -2.220446e-05 -5.551115e-05 -0.0599270633 -0.0004551914
    > 10 -0.001054712 -1.491862e-05 -1.065814e-03 -0.0001956768 -0.0012101431
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.2923661313 3.578249e-02 0.1061112136 -2.220446e-05 0.6975545142
    > 5 0.0023314684 -4.996004e-05 0.0005218048 6.294687e-02 0.0007105427
    > 10 0.0003108624 2.012279e-05 0.0003330669 -1.387779e-06 0.0004218847
    2383,2393c2383,2393
    < 1 -2.102101e-03 -1.014505e-04 -3.360329e-02 4.544331e-03 9.415917e-05
    < 5 -4.594582e-04 -6.481625e-02 -1.034060e-02 -3.817983e-02 2.805260e-01
    < 10 -5.136447e-06 7.264794e-05 -3.151146e-06 -3.943110e-06 1.647006e-04
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0009992007 6.661338e-05 0.003119987 -4.884981e-04 -1.387779e-05
    < 5 0.0010658141 -6.480927e-02 0.005651035 1.901840e-01 3.202549e-01
    < 10 -0.0001887379 -7.018691e-04 -0.000721645 -1.110223e-05 -4.440892e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0008881784 0.0004773959 -0.002395740 0.0000000000 -2.081668e-06
    < 5 0.0001998401 0.1233180225 -0.003108624 -0.2745526029 -5.324408e-01
    < 10 -0.0009769963 0.0007691764 -0.001521006 -0.0001804112 -1.210143e-03
    ---
    > 1 -2.102100e-03 -1.014494e-04 -3.360329e-02 4.544332e-03 9.415917e-05
    > 5 -4.594578e-04 -6.481625e-02 -1.034060e-02 -3.817983e-02 2.805260e-01
    > 10 -5.136336e-06 7.264794e-05 -3.151590e-06 -3.943137e-06 1.647004e-04
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0002109424 0.0017874591 0.0031186859 -3.330669e-04 1.040834e-05
    > 5 0.0006439294 -0.0650257626 0.0056288307 1.901118e-01 3.198886e-01
    > 10 -0.0001110223 -0.0006918077 -0.0007993606 1.804112e-05 -1.665335e-04
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0002442491 -0.0005551115 -0.0023992960 -4.662937e-04 -1.804112e-05
    > 5 0.0003108624 0.1232181024 -0.0034638958 -2.745498e-01 -5.325851e-01
    > 10 -0.0002997602 0.0007757683 -0.0006217249 -7.077672e-05 -5.440093e-04
    2397,2411c2397,2411
    < d_y1_d_x1 -1.563915e-01 0.0916347386 -0.1914359599 1.669985e-01 0.0304158300
    < d_y2_d_x1 4.175927e-04 -0.0361629797 0.0005111669 -4.459151e-04 0.0702945169
    < d_y3_d_x1 -3.407720e-03 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964602
    < d_y4_d_x1 -9.140888e-05 -0.0001078717 -0.0001118933 9.760870e-05 -0.0001342124
    < d_y5_d_x1 1.258768e-03 0.0001281769 0.0015408346 -1.344142e-03 0.0028022777
    < d_y1_d_x2 1.794676e-01 0.0000000000 0.4678725783 -1.915801e-01 -0.0026423308
    < d_y2_d_x2 3.700373e-02 0.0000000000 0.0085610959 -4.010126e-02 -0.1627920021
    < d_y3_d_x2 8.788543e-03 0.0000000000 0.0081979202 -9.390579e-03 -0.0027718279
    < d_y4_d_x2 -5.551115e-04 0.0000000000 0.0016044635 -4.440892e-05 -0.0004218847
    < d_y5_d_x2 -2.720046e-04 0.0000000000 -0.0015129239 3.559653e-04 0.0299732461
    < d_y1_d_x3 4.714451e-01 0.0000000000 0.5774491996 -2.559484e-01 -0.1563416063
    < d_y2_d_x3 -9.059420e-02 0.0000000000 -0.1108224623 6.211825e-02 0.2026934176
    < d_y3_d_x3 -1.212468e-02 0.0000000000 -0.0148316255 1.038150e-02 0.0030224087
    < d_y4_d_x3 -3.996803e-04 0.0000000000 -0.0011102230 5.742407e-06 -0.0005551115
    < d_y5_d_x3 -3.155809e-03 0.0000000000 -0.0038295755 2.213956e-03 -0.0393074462
    ---
    > d_y1_d_x1 -0.1563914767 0.0916347381 -0.1914359595 1.669985e-01 0.0304158301
    > d_y2_d_x1 0.0004175918 -0.0361629801 0.0005111674 -4.459150e-04 0.0702945167
    > d_y3_d_x1 -0.0034077201 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964603
    > d_y4_d_x1 -0.0000914101 -0.0001078725 -0.0001118924 9.760925e-05 -0.0001342124
    > d_y5_d_x1 0.0012587677 0.0001281769 0.0015408346 -1.344142e-03 0.0028022777
    > d_y1_d_x2 0.1785016579 0.0000000000 0.4676505335 -1.918132e-01 -0.0017874591
    > d_y2_d_x2 0.0368594044 0.0000000000 0.0082391312 -3.943512e-02 -0.1621813794
    > d_y3_d_x2 0.0087862877 0.0000000000 0.0082012162 -9.385721e-03 -0.0027707871
    > d_y4_d_x2 -0.0010214052 0.0000000000 0.0006496715 -1.110223e-04 -0.0001776357
    > d_y5_d_x2 -0.0003004541 0.0000000000 -0.0015143116 3.989864e-04 0.0299947567
    > d_y1_d_x3 0.4700240197 0.0000000000 0.5775824263 -2.544274e-01 -0.1587951992
    > d_y2_d_x3 -0.0920929999 0.0000000000 -0.1112443471 6.219597e-02 0.2018163414
    > d_y3_d_x3 -0.0121292733 0.0000000000 -0.0148305847 1.038419e-02 0.0030158168
    > d_y4_d_x3 -0.0014210855 0.0000000000 -0.0019761970 6.496718e-04 -0.0011546319
    > d_y5_d_x3 -0.0031502578 0.0000000000 -0.0038392900 2.245875e-03 -0.0393067523
    2413,2427c2413,2427
    < d_y1_d_x1 -0.0282392830 0.0372314637 -0.0324787444 5.957166e-02 -0.035391625
    < d_y2_d_x1 0.1850031566 0.0860462385 -0.0750621513 1.341879e-02 0.050566120
    < d_y3_d_x1 0.0047965524 0.0052592188 -0.0045878621 7.227873e-02 0.086981753
    < d_y4_d_x1 -0.0001283527 -0.0001642869 0.0001433155 -7.605944e-04 -0.000768038
    < d_y5_d_x1 -0.0079661264 0.0034302172 -0.0029923386 -1.288056e-02 0.015655165
    < d_y1_d_x2 0.0000000000 -0.0621190087 0.0021538327 -6.444845e-02 0.000000000
    < d_y2_d_x2 0.0000000000 -0.0854090604 0.1729949517 -4.639622e-02 0.000000000
    < d_y3_d_x2 0.0000000000 -0.0028956290 0.0029630812 -5.613799e-02 0.000000000
    < d_y4_d_x2 0.0000000000 -0.0009489323 0.0003108624 -4.440892e-05 0.000000000
    < d_y5_d_x2 0.0000000000 0.0258752006 -0.0320569959 -5.733469e-02 0.000000000
    < d_y1_d_x3 0.0000000000 -0.1915467784 0.1085222702 -1.861844e-01 0.000000000
    < d_y2_d_x3 0.0000000000 0.2493227846 -0.1024509838 7.132073e-02 0.000000000
    < d_y3_d_x3 0.0000000000 0.0037039816 -0.0027290955 5.760297e-02 0.000000000
    < d_y4_d_x3 0.0000000000 0.0008437695 -0.0011931814 -1.088019e-03 0.000000000
    < d_y5_d_x3 0.0000000000 -0.0480677997 0.0311702706 7.666784e-02 0.000000000
    ---
    > d_y1_d_x1 -0.0282392827 0.0372314635 -0.0324787444 0.0595716566 -0.0353916250
    > d_y2_d_x1 0.1850031566 0.0860462380 -0.0750621514 0.0134187921 0.0505661196
    > d_y3_d_x1 0.0047965525 0.0052592188 -0.0045878621 0.0722787329 0.0869817532
    > d_y4_d_x1 -0.0001283527 -0.0001642868 0.0001433151 -0.0007605947 -0.0007680381
    > d_y5_d_x1 -0.0079661264 0.0034302172 -0.0029923386 -0.0128805561 0.0156551650
    > d_y1_d_x2 0.0000000000 -0.0610087855 0.0013655743 -0.0649813536 0.0000000000
    > d_y2_d_x2 0.0000000000 -0.0840989970 0.1729172361 -0.0467403893 0.0000000000
    > d_y3_d_x2 0.0000000000 -0.0028929402 0.0029592648 -0.0561438916 0.0000000000
    > d_y4_d_x2 0.0000000000 -0.0002161851 -0.0014210855 -0.0005995204 0.0000000000
    > d_y5_d_x2 0.0000000000 0.0259910802 -0.0320757310 -0.0573589787 0.0000000000
    > d_y1_d_x3 0.0000000000 -0.1923905479 0.1096546977 -0.1853406317 0.0000000000
    > d_y2_d_x3 0.0000000000 0.2493227846 -0.1023288592 0.0720867810 0.0000000000
    > d_y3_d_x3 0.0000000000 0.0037018999 -0.0027282282 0.0576060033 0.0000000000
    > d_y4_d_x3 0.0000000000 0.0015099033 0.0012049003 -0.0002664535 0.0000000000
    > d_y5_d_x3 0.0000000000 -0.0481024942 0.0311550050 0.0766837982 0.0000000000
    2429,2443c2429,2443
    < d_y1_d_x1 0.0729205810 -0.0636120275 -5.028644e-04 -5.028740e-04 -6.155474e-04
    < d_y2_d_x1 0.0164256996 -0.0143289044 -9.699241e-06 -9.699352e-06 -1.187306e-05
    < d_y3_d_x1 0.0884750814 -0.0771809445 -1.765219e-02 -1.800810e-02 -2.160772e-02
    < d_y4_d_x1 -0.0009310296 0.0008121802 9.921307e-04 9.921314e-04 1.214449e-03
    < d_y5_d_x1 -0.0157668542 0.0137541631 -1.212553e-03 -1.213108e-03 -1.484263e-03
    < d_y1_d_x2 -0.1735892761 0.0680899781 -7.327472e-04 0.000000e+00 3.774663e-04
    < d_y2_d_x2 -0.0193519223 0.0497157870 -7.660539e-04 0.000000e+00 4.440903e-05
    < d_y3_d_x2 -0.0540208258 0.0599439769 2.223395e-03 0.000000e+00 2.368465e-03
    < d_y4_d_x2 -0.0003627149 0.0001776357 1.998401e-04 0.000000e+00 3.996812e-04
    < d_y5_d_x2 -0.0417511109 0.0612690454 -1.387779e-05 0.000000e+00 -2.137211e-05
    < d_y1_d_x3 -0.2281286271 0.1050878051 -4.107825e-04 0.000000e+00 -9.214851e-04
    < d_y2_d_x3 0.0877742323 -0.0406348973 -6.106227e-04 0.000000e+00 -6.994405e-04
    < d_y3_d_x3 0.0705165960 -0.0468051567 -1.816169e-03 0.000000e+00 -2.221053e-03
    < d_y4_d_x3 -0.0003774758 0.0017467086 -1.088019e-03 0.000000e+00 -8.437695e-04
    < d_y5_d_x3 0.0938235600 -0.0532766136 -5.412337e-05 0.000000e+00 -6.869505e-05
    ---
    > d_y1_d_x1 7.292058e-02 -0.0636120274 -5.028642e-04 -5.028739e-04 -6.155476e-04
    > d_y2_d_x1 1.642570e-02 -0.0143289044 -9.699463e-06 -9.699463e-06 -1.187317e-05
    > d_y3_d_x1 8.847508e-02 -0.0771809445 -1.765219e-02 -1.800810e-02 -2.160772e-02
    > d_y4_d_x1 -9.310297e-04 0.0008121808 9.921306e-04 9.921313e-04 1.214449e-03
    > d_y5_d_x1 -1.576685e-02 0.0137541631 -1.212553e-03 -1.213108e-03 -1.484263e-03
    > d_y1_d_x2 -1.731785e-01 0.0688005208 4.440892e-05 0.000000e+00 8.104529e-04
    > d_y2_d_x2 -1.908547e-02 0.0499600361 -1.221245e-04 0.000000e+00 6.661327e-05
    > d_y3_d_x2 -5.401285e-02 0.0599465790 2.225390e-03 0.000000e+00 2.367338e-03
    > d_y4_d_x2 3.256235e-04 0.0004440892 5.107026e-04 0.000000e+00 1.776365e-04
    > d_y5_d_x2 -4.171295e-02 0.0612773721 -5.551115e-06 0.000000e+00 -2.969880e-05
    > d_y1_d_x3 -2.276179e-01 0.1034446753 1.110223e-05 0.000000e+00 -1.998401e-04
    > d_y2_d_x3 8.837375e-02 -0.0412677243 2.220446e-05 0.000000e+00 -1.554312e-04
    > d_y3_d_x3 7.051330e-02 -0.0468096670 -1.810271e-03 0.000000e+00 -2.213507e-03
    > d_y4_d_x3 8.881784e-05 0.0010583706 1.332268e-04 0.000000e+00 0.000000e+00
    > d_y5_d_x3 9.386866e-02 -0.0533015936 6.938894e-06 0.000000e+00 -1.387779e-05
    2445,2459c2445,2459
    < d_y1_d_x1 5.369707e-04 0.0081975019 -0.0012646431 0.0100344134 -0.0087534868
    < d_y2_d_x1 1.035694e-05 -0.0220481802 -0.0517929112 -0.0269887757 0.0235435695
    < d_y3_d_x1 1.884942e-02 0.0225814660 0.0268916000 0.0276415615 -0.0241130247
    < d_y4_d_x1 -1.059421e-03 -0.0003311508 -0.0003258284 -0.0004053551 0.0003536106
    < d_y5_d_x1 1.294792e-03 -0.0407221762 0.0544513899 -0.0498472747 0.0434841051
    < d_y1_d_x2 1.332268e-04 -0.0209721129 0.0000000000 -0.0349084567 0.0227817765
    < d_y2_d_x2 2.109424e-04 0.0418887147 0.0000000000 0.0207371104 -0.0450861570
    < d_y3_d_x2 -2.382122e-03 -0.0157263091 0.0000000000 -0.0149353220 0.0167896079
    < d_y4_d_x2 -5.773160e-04 -0.0002220446 0.0000000000 0.0002273669 0.0003552714
    < d_y5_d_x2 -1.387779e-06 -0.2069351634 0.0000000000 -0.1580953675 0.2209510352
    < d_y1_d_x3 4.773863e-04 -0.0018429702 0.0000000000 -0.0024868996 -0.0083963309
    < d_y2_d_x3 1.887380e-04 -0.0484723373 0.0000000000 -0.0576871884 0.0209369502
    < d_y3_d_x3 1.585498e-03 0.0158742811 0.0000000000 0.0194224845 -0.0126396756
    < d_y4_d_x3 6.883392e-04 0.0001332268 0.0000000000 -0.0006883383 -0.0006608116
    < d_y5_d_x3 1.193459e-05 0.2699264423 0.0000000000 0.3303697593 -0.1930604538
    ---
    > d_y1_d_x1 5.369704e-04 0.0081975018 -0.0012646431 0.0100344131 -8.753487e-03
    > d_y2_d_x1 1.035705e-05 -0.0220481803 -0.0517929113 -0.0269887754 2.354357e-02
    > d_y3_d_x1 1.884942e-02 0.0225814660 0.0268916000 0.0276415615 -2.411302e-02
    > d_y4_d_x1 -1.059421e-03 -0.0003311511 -0.0003258285 -0.0004053549 3.536108e-04
    > d_y5_d_x1 1.294792e-03 -0.0407221763 0.0544513899 -0.0498472747 4.348411e-02
    > d_y1_d_x2 2.442491e-04 -0.0211608508 0.0000000000 -0.0354857727 2.251532e-02
    > d_y2_d_x2 2.553513e-04 0.0427768931 0.0000000000 0.0209702570 -4.530820e-02
    > d_y3_d_x2 -2.381862e-03 -0.0157217989 0.0000000000 -0.0149315923 1.678787e-02
    > d_y4_d_x2 -3.552714e-04 0.0004218847 0.0000000000 -0.0003055403 4.440892e-05
    > d_y5_d_x2 1.595946e-05 -0.2069115712 0.0000000000 -0.1581335314 2.209274e-01
    > d_y1_d_x3 8.880835e-05 -0.0018540725 0.0000000000 -0.0021538327 -7.263903e-03
    > d_y2_d_x3 -1.221245e-04 -0.0475619544 0.0000000000 -0.0578537218 2.244685e-02
    > d_y3_d_x3 1.580814e-03 0.0158729800 0.0000000000 0.0194230916 -1.262788e-02
    > d_y4_d_x3 -3.774749e-04 -0.0001110223 0.0000000000 0.0009325873 3.827979e-04
    > d_y5_d_x3 -2.900488e-05 0.2699132584 0.0000000000 0.3304044538 -1.930042e-01
    2461,2475c2461,2475
    < d_y1_d_x1 -0.0246672506 -6.264994e-01 7.378603e-04 -0.3524203658 1.216289e-01
    < d_y2_d_x1 -0.0388177317 4.100418e-03 -1.109124e-04 -0.0036737534 1.010428e-01
    < d_y3_d_x1 0.0002818689 5.971634e-03 -8.639555e-03 -0.0053451821 1.291295e-02
    < d_y4_d_x1 -0.0004455033 -1.377780e-03 7.646158e-04 -0.0006740855 9.811807e-05
    < d_y5_d_x1 0.0055523561 -2.316509e-03 -3.863349e-04 -0.0229319393 9.684509e-03
    < d_y1_d_x2 -0.0704547531 9.787393e-01 3.108624e-04 0.7364331367 -6.076251e-02
    < d_y2_d_x2 -0.0499378316 6.368239e-02 3.996803e-04 0.0642597087 -2.929545e-01
    < d_y3_d_x2 -0.0018140003 -1.508186e-02 3.209325e-03 0.0068575354 -7.349937e-03
    < d_y4_d_x2 0.0017319479 9.992007e-04 7.327472e-04 0.0003108624 2.220446e-05
    < d_y5_d_x2 0.0107011622 -9.832413e-03 1.526557e-05 -0.0356291385 4.148487e-02
    < d_y1_d_x3 0.2423394818 1.339195e+00 -1.287859e-03 0.7281397707 -5.231815e-01
    < d_y2_d_x3 0.3037237128 -1.381451e-01 -7.882583e-04 -0.2377764652 3.658185e-01
    < d_y3_d_x3 0.0029880612 3.056956e-02 -3.366751e-03 -0.0064399874 7.811460e-03
    < d_y4_d_x3 -0.0002886580 2.220446e-05 -9.325873e-04 -0.0005995204 1.842970e-03
    < d_y5_d_x3 -0.0331665251 3.015296e-02 -1.526557e-05 0.1442873598 -5.670325e-02
    ---
    > d_y1_d_x1 -0.0246672512 -0.6264994450 7.378604e-04 -3.524204e-01 1.216289e-01
    > d_y2_d_x1 -0.0388177324 0.0041004180 -1.109126e-04 -3.673754e-03 1.010428e-01
    > d_y3_d_x1 0.0002818689 0.0059716341 -8.639555e-03 -5.345182e-03 1.291295e-02
    > d_y4_d_x1 -0.0004455039 -0.0013777802 7.646159e-04 -6.740863e-04 9.811785e-05
    > d_y5_d_x1 0.0055523561 -0.0023165090 -3.863348e-04 -2.293194e-02 9.684509e-03
    > d_y1_d_x2 -0.0704325487 0.9778733379 -1.221245e-04 7.359002e-01 -6.035172e-02
    > d_y2_d_x2 -0.0501487740 0.0629718500 -1.998401e-04 6.380452e-02 -2.937317e-01
    > d_y3_d_x2 -0.0018135667 -0.0150873238 3.209152e-03 6.854413e-03 -7.352365e-03
    > d_y4_d_x2 0.0011102230 -0.0005329071 -3.330669e-04 -3.996803e-04 -5.773160e-04
    > d_y5_d_x2 0.0107067133 -0.0098698827 5.551115e-06 -3.565065e-02 4.145712e-02
    > d_y1_d_x3 0.2419398015 1.3408163468 5.551115e-04 7.291279e-01 -5.243028e-01
    > d_y2_d_x3 0.3037459173 -0.1364464097 4.884981e-04 -2.368328e-01 3.660405e-01
    > d_y3_d_x3 0.0029897092 0.0305797054 -3.358251e-03 -6.436952e-03 7.810506e-03
    > d_y4_d_x3 0.0001776357 0.0013322676 5.329071e-04 8.881784e-05 1.620926e-03
    > d_y5_d_x3 -0.0331568106 0.0302570469 2.567391e-05 1.443234e-01 -5.668244e-02
    2477,2491c2477,2491
    < d_y1_d_x1 -4.187254e-04 7.726916e-02 -3.537293e-03 0.1647729926 -2.102101e-03
    < d_y2_d_x1 2.454350e-04 2.462559e-01 3.440870e-05 0.0140368146 -1.014505e-04
    < d_y3_d_x1 -5.131758e-04 1.444145e-02 2.428329e-04 0.1852824234 -3.360329e-02
    < d_y4_d_x1 2.677680e-04 -1.702302e-04 7.213668e-03 -0.0038739325 4.544331e-03
    < d_y5_d_x1 -1.034753e-03 -1.143536e-03 -4.635108e-03 -0.1597542283 9.415917e-05
    < d_y1_d_x2 1.332268e-04 -9.180434e-02 2.886580e-04 -0.3567812712 -9.992007e-04
    < d_y2_d_x2 3.774758e-04 -3.098966e-01 -5.551115e-05 0.0064614980 6.661338e-05
    < d_y3_d_x2 2.411266e-05 -7.520720e-03 -6.071532e-07 -0.1078134977 3.119987e-03
    < d_y4_d_x2 6.661338e-05 2.220446e-05 8.881784e-05 0.0009547918 -4.884981e-04
    < d_y5_d_x2 4.371503e-05 -5.253575e-02 7.285839e-05 -0.4961017708 -1.387779e-05
    < d_y1_d_x3 9.992007e-05 -3.157585e-01 -3.441691e-04 -0.2933320253 8.881784e-04
    < d_y2_d_x3 -1.776357e-04 3.829825e-01 3.885781e-04 0.0348165941 4.773959e-04
    < d_y3_d_x3 -2.654127e-05 8.045561e-03 2.255141e-06 0.1061049686 -2.395740e-03
    < d_y4_d_x3 -4.884981e-04 -3.774758e-04 1.332268e-04 -0.0018429702 0.000000e+00
    < d_y5_d_x3 -1.040834e-05 6.736139e-02 2.081668e-06 0.6975177380 -2.081668e-06
    ---
    > d_y1_d_x1 -4.187246e-04 0.0772691643 -3.537293e-03 1.647730e-01 -2.102100e-03
    > d_y2_d_x1 2.454353e-04 0.2462559053 3.440803e-05 1.403681e-02 -1.014494e-04
    > d_y3_d_x1 -5.131758e-04 0.0144414535 2.428329e-04 1.852824e-01 -3.360329e-02
    > d_y4_d_x1 2.677683e-04 -0.0001702297 7.213668e-03 -3.873932e-03 4.544332e-03
    > d_y5_d_x1 -1.034753e-03 -0.0011435364 -4.635108e-03 -1.597542e-01 9.415917e-05
    > d_y1_d_x2 -2.220446e-05 -0.0919819776 -2.997602e-04 -3.566258e-01 -2.109424e-04
    > d_y2_d_x2 -2.775558e-04 -0.3098410417 5.662137e-04 6.306067e-03 1.787459e-03
    > d_y3_d_x2 1.708703e-05 -0.0075212406 -1.214306e-06 -1.078121e-01 3.118686e-03
    > d_y4_d_x2 -3.996803e-04 0.0004440892 -4.218847e-04 1.199041e-03 -3.330669e-04
    > d_y5_d_x2 -7.632783e-06 -0.0525211818 6.383782e-05 -4.960955e-01 1.040834e-05
    > d_y1_d_x3 -1.554312e-04 -0.3145705918 5.218048e-04 -2.923661e-01 -2.442491e-04
    > d_y2_d_x3 2.997602e-04 0.3837485885 -9.547918e-04 3.578249e-02 -5.551115e-04
    > d_y3_d_x3 -2.237793e-05 0.0080528466 7.806256e-07 1.061112e-01 -2.399296e-03
    > d_y4_d_x3 3.552714e-04 -0.0004884981 7.105427e-04 -2.220446e-05 -4.662937e-04
    > d_y5_d_x3 2.567391e-05 0.0673676392 9.020562e-06 6.975545e-01 -1.804112e-05
    2499c2499
    < 1: d_y1_d_x2 -1.531e-01 1.406e+00 -0.109 0.913
    ---
    > 1: d_y1_d_x2 -1.531e-01 1.405e+00 -0.109 0.913
    2502c2502
    < 1: d_y4_d_x2 2.593e-05 3.283e-03 0.008 0.994
    ---
    > 1: d_y4_d_x2 2.593e-05 3.022e-03 0.009 0.993
    2504,2505c2504,2505
    < 1: d_y1_d_x3 -3.632e-01 1.906e+00 -0.191 0.849
    < 1: d_y2_d_x3 -8.944e-02 7.799e-01 -0.115 0.909
    ---
    > 1: d_y1_d_x3 -3.632e-01 1.907e+00 -0.190 0.849
    > 1: d_y2_d_x3 -8.944e-02 7.800e-01 -0.115 0.909
    2507c2507
    < 1: d_y4_d_x3 1.592e-05 4.474e-03 0.004 0.997
    ---
    > 1: d_y4_d_x3 1.592e-05 4.429e-03 0.004 0.997
    2514,2516c2514,2516
    < 2: d_y1_d_x2 6.220e-05 4.946e-03 0.013 0.990
    < 2: d_y2_d_x2 2.744e-01 4.857e-01 0.565 0.572
    < 2: d_y3_d_x2 -8.325e-03 1.800e-01 -0.046 0.963
    ---
    > 2: d_y1_d_x2 6.220e-05 6.198e-03 0.010 0.992
    > 2: d_y2_d_x2 2.744e-01 4.860e-01 0.565 0.572
    > 2: d_y3_d_x2 -8.325e-03 1.794e-01 -0.046 0.963
    2518,2523c2518,2523
    < 2: d_y5_d_x2 -2.375e-01 5.925e-01 -0.401 0.689
    < 2: d_y1_d_x3 -1.089e-04 5.212e-03 -0.021 0.983
    < 2: d_y2_d_x3 -5.189e-01 9.408e-01 -0.552 0.581
    < 2: d_y3_d_x3 6.280e-03 1.341e-01 0.047 0.963
    < 2: d_y4_d_x3 -2.654e-01 7.647e-01 -0.347 0.729
    < 2: d_y5_d_x3 3.941e-01 1.085e+00 0.363 0.716
    ---
    > 2: d_y5_d_x2 -2.375e-01 5.920e-01 -0.401 0.688
    > 2: d_y1_d_x3 -1.089e-04 7.327e-03 -0.015 0.988
    > 2: d_y2_d_x3 -5.189e-01 9.409e-01 -0.552 0.581
    > 2: d_y3_d_x3 6.280e-03 1.340e-01 0.047 0.963
    > 2: d_y4_d_x3 -2.654e-01 7.646e-01 -0.347 0.728
    > 2: d_y5_d_x3 3.941e-01 1.086e+00 0.363 0.717
    2531,2534c2531,2534
    < 3: d_y3_d_x2 -8.285e-04 2.074e-02 -0.040 0.968
    < 3: d_y4_d_x2 2.539e-01 1.118e+00 0.227 0.820
    < 3: d_y5_d_x2 -2.282e-04 5.182e-03 -0.044 0.965
    < 3: d_y1_d_x3 -1.859e-01 1.683e+00 -0.110 0.912
    ---
    > 3: d_y3_d_x2 -8.285e-04 2.084e-02 -0.040 0.968
    > 3: d_y4_d_x2 2.539e-01 1.119e+00 0.227 0.820
    > 3: d_y5_d_x2 -2.282e-04 4.517e-03 -0.051 0.960
    > 3: d_y1_d_x3 -1.859e-01 1.682e+00 -0.111 0.912
    2536,2538c2536,2538
    < 3: d_y3_d_x3 3.932e-04 1.764e-02 0.022 0.982
    < 3: d_y4_d_x3 -1.184e-01 2.719e-01 -0.435 0.663
    < 3: d_y5_d_x3 -6.966e-05 5.029e-03 -0.014 0.989
    ---
    > 3: d_y3_d_x3 3.932e-04 1.682e-02 0.023 0.981
    > 3: d_y4_d_x3 -1.184e-01 2.720e-01 -0.435 0.663
    > 3: d_y5_d_x3 -6.966e-05 4.765e-03 -0.015 0.988
    2551c2551
    < 5 0.02351233 -0.103909568 2.577994e-01 -0.38625024 -0.038057072 -0.004816663
    ---
    > 5 0.02351233 -0.103909568 2.577994e-01 -0.38625024 -0.038057072 -0.004816664
    2558,2563c2558,2563
    < 1 0.064752685 -0.0794618801 0.09748031 -0.231719997 -0.476619673 -0.050278489
    < 2 0.305151591 -0.8072288593 0.50211307 -0.477711822 -0.147263126 -0.374513309
    < 3 0.222294024 -0.7165728464 0.44307519 -0.295276270 -0.378400142 -0.326479320
    < 4 0.236440301 -0.6882505144 0.47040241 -0.599430290 -0.027083595 -0.415869352
    < 5 0.177253207 -0.2179098188 0.13565753 -0.339571429 -0.002495559 -0.321244284
    < 6 0.030011972 -0.0282737934 0.16990098 -0.013512968 -0.226915097 -0.031253663
    ---
    > 1 0.064752685 -0.0794618802 0.09748031 -0.231719997 -0.476619672 -0.050278489
    > 2 0.305151591 -0.8072288592 0.50211307 -0.477711823 -0.147263126 -0.374513309
    > 3 0.222294024 -0.7165728460 0.44307519 -0.295276270 -0.378400142 -0.326479319
    > 4 0.236440301 -0.6882505142 0.47040241 -0.599430290 -0.027083595 -0.415869352
    > 5 0.177253207 -0.2179098194 0.13565753 -0.339571429 -0.002495559 -0.321244284
    > 6 0.030011972 -0.0282737934 0.16990098 -0.013512968 -0.226915096 -0.031253662
    2565,2567c2565,2567
    < 8 0.043465496 -0.0039813283 0.09720844 -0.007732508 -0.229714047 -0.071289981
    < 9 0.141375415 -0.2360392807 0.22050272 -0.336321419 -0.312178069 -0.136455241
    < 10 0.006340279 0.0001769028 0.07806165 -0.002740800 -0.339740704 -0.004736787
    ---
    > 8 0.043465496 -0.0039813285 0.09720844 -0.007732508 -0.229714046 -0.071289981
    > 9 0.141375416 -0.2360392807 0.22050272 -0.336321419 -0.312178069 -0.136455242
    > 10 0.006340279 0.0001769017 0.07806165 -0.002740801 -0.339740704 -0.004736787
    2570,2573c2570,2573
    < 2 0.6998115010 -0.42115012 0.616908810
    < 3 0.5898997984 -0.34928550 0.356894349
    < 4 0.5314965862 -0.51916055 0.775034274
    < 5 0.1453066496 -0.19712872 0.511189076
    ---
    > 2 0.6998115010 -0.42115012 0.616908811
    > 3 0.5898997982 -0.34928550 0.356894349
    > 4 0.5314965859 -0.51916055 0.775034274
    > 5 0.1453066494 -0.19712872 0.511189076
    2575,2578c2575,2578
    < 7 0.2078920664 -0.05152273 0.272450183
    < 8 0.0029102990 -0.11236499 0.011243762
    < 9 0.1997825314 -0.12718212 0.473423880
    < 10 -0.0002166254 -0.07032604 0.004095377
    ---
    > 7 0.2078920658 -0.05152273 0.272450182
    > 8 0.0029103000 -0.11236499 0.011243763
    > 9 0.1997825314 -0.12718212 0.473423879
    > 10 -0.0002166239 -0.07032604 0.004095378
    2592,2594c2592,2594
    < 1 0.30295427 -0.017218365 -0.0068724138 -0.0007987829 -0.016039859 -0.13866892
    < 5 0.09454287 -0.049296237 -0.0580552881 -0.0343232969 -0.007904557 -0.02151663
    < 10 0.62644588 0.004432102 -0.0003387514 0.0276848047 0.002067240 -0.68967249
    ---
    > 1 0.30295427 -0.017218365 -0.0068724138 -0.0007987828 -0.016039859 -0.13861137
    > 5 0.09454287 -0.049296237 -0.0580552882 -0.0343232969 -0.007904557 -0.02152522
    > 10 0.62644588 0.004432102 -0.0003387511 0.0276848048 0.002067240 -0.68974055
    2596,2598c2596,2598
    < 1 -0.05350889 -0.017279909 -0.077753987 0.01768141 0.04527970 0.06418401
    < 5 0.02949231 0.059030853 0.005971449 -0.02533939 -0.01711956 -0.05087117
    < 10 -0.01036357 0.001001946 0.009008428 0.00105734 -0.32560004 0.01393103
    ---
    > 1 -0.05352857 -0.017287743 -0.077463779 0.017755896 0.04493873 0.06372503
    > 5 0.02951478 0.059006945 0.006034385 -0.025143743 -0.01708604 -0.05086909
    > 10 -0.01036328 0.001268045 0.009016088 0.001010435 -0.32552103 0.01393215
    2600,2602c2600,2602
    < 1 0.0322300480 0.06896628 0.0401654942
    < 5 -0.0153337243 -0.01131870 0.0322133098
    < 10 -0.0004885665 0.07240667 -0.0006223222
    ---
    > 1 0.0322048225 0.06786429 0.040164460
    > 5 -0.0152675121 -0.01136241 0.032338461
    > 10 -0.0002829929 0.07240787 -0.000211752
    2607,2617c2607,2617
    < 1 -0.017218365 0.1950255752 6.227196e-02 0.040139738 -1.099614e-02
    < 5 -0.049296237 0.2929895650 3.153824e-01 -0.201184136 -4.192393e-02
    < 10 0.004432102 0.0005037651 7.202314e-06 0.000641001 2.136183e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.038996147 -0.094119943 -2.941694e-02 -0.0062141369 1.649026e-02
    < 5 0.009981711 -0.068186622 -1.951592e-01 0.0880420884 6.714680e-02
    < 10 -0.009244866 -0.001511086 2.993584e-06 -0.0001321516 4.461157e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.046942653 0.082544727 3.571064e-02 -0.004945735 -1.805534e-02
    < 5 0.005906418 0.136290445 9.597790e-02 -0.081244256 -9.555733e-02
    < 10 -0.004931735 0.001376718 2.457927e-05 0.001040864 8.038304e-06
    ---
    > 1 -0.017218365 0.1950255753 6.227196e-02 0.040139738 -1.099614e-02
    > 5 -0.049296237 0.2929895650 3.153824e-01 -0.201184137 -4.192393e-02
    > 10 0.004432102 0.0005037651 7.202316e-06 0.000641001 2.136184e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.038857208 -0.094400097 -2.942319e-02 -0.0063543095 0.0165336330
    > 5 0.009249418 -0.068181151 -1.950387e-01 0.0880736080 0.0673953794
    > 10 -0.009244504 -0.001511118 2.824234e-05 -0.0001315426 0.0000445859
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.046887462 0.082624678 3.571344e-02 -0.004860131 -1.803348e-02
    > 5 0.005778696 0.136186509 9.488304e-02 -0.081270807 -9.614347e-02
    > 10 -0.004931153 0.001376746 -3.618484e-05 0.001038626 -2.480987e-05
    2623,2624c2623,2624
    < 5 -0.0580552881 3.153824e-01 1.139623e+00 -7.595576e-01 -1.068731e-01
    < 10 -0.0003387514 7.202314e-06 9.808407e-07 -1.692127e-06 -1.967874e-05
    ---
    > 5 -0.0580552882 3.153824e-01 1.139623e+00 -7.595576e-01 -1.068731e-01
    > 10 -0.0003387511 7.202316e-06 9.808412e-07 -1.692167e-06 -1.967879e-05
    2626,2632c2626,2632
    < 1 0.0149449872 -3.090654e-02 -1.383249e-01 6.488209e-02 -2.974634e-02
    < 5 0.0225858612 -1.527678e-01 -7.149526e-01 2.430183e-01 1.528368e-01
    < 10 0.0004251677 -2.559471e-05 -2.748740e-06 -2.372718e-05 -4.823397e-06
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0197325602 2.654650e-02 1.392236e-01 -2.882774e-02 0.0371450652
    < 5 0.0081225145 1.866088e-01 3.862819e-01 -2.914371e-01 -0.1070986150
    < 10 0.0001785057 1.698332e-05 3.114033e-06 -3.549501e-05 0.0000110807
    ---
    > 1 0.0153280427 -3.091568e-02 -1.383181e-01 6.436849e-02 -2.976886e-02
    > 5 0.0218174229 -1.527560e-01 -7.148051e-01 2.431613e-01 1.537527e-01
    > 10 0.0004251727 -2.559827e-05 -1.995998e-06 -2.370779e-05 -4.914330e-06
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0198072872 2.701209e-02 1.392003e-01 -2.800403e-02 3.700592e-02
    > 5 0.0092095144 1.867800e-01 3.869382e-01 -2.915511e-01 -1.088114e-01
    > 10 0.0001785236 1.698283e-05 -1.249156e-08 -3.557477e-05 9.322443e-06
    2637,2647c2637,2647
    < 1 -0.0007987829 0.040139738 -2.529480e-01 0.70425495 -0.039872968
    < 5 -0.0343232969 -0.201184136 -7.595576e-01 0.84867619 0.128251461
    < 10 0.0276848047 0.000641001 -1.692127e-06 0.03302969 0.000348983
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.026364760 -0.018068814 0.0556185256 -0.21575853 0.0308768338
    < 5 -0.001484706 0.096327081 0.4064094022 -0.23178902 -0.0991939809
    < 10 -0.098705004 -0.001783839 0.0001264346 -0.03199458 0.0003444878
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.023654689 0.011598156 -4.834098e-02 0.07330607 -0.0313132670
    < 5 0.003320926 -0.113636895 -2.471851e-01 0.31586796 0.0937780924
    < 10 -0.037117684 0.001745325 -1.023992e-05 0.02671203 -0.0001588507
    ---
    > 1 -0.0007987828 0.040139738 -2.529480e-01 0.70425495 -0.039872968
    > 5 -0.0343232969 -0.201184137 -7.595576e-01 0.84867619 0.128251461
    > 10 0.0276848048 0.000641001 -1.692167e-06 0.03302969 0.000348983
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.025834333 -0.018554457 5.560032e-02 -0.21567935 0.0309267772
    > 5 -0.001308162 0.096229131 4.058140e-01 -0.23189515 -0.0999043314
    > 10 -0.098731990 -0.001783813 5.963541e-05 -0.03199371 0.0002902911
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.023572103 0.011652576 -4.832578e-02 0.07324458 -3.130000e-02
    > 5 0.002810562 -0.113738960 -2.475329e-01 0.31592859 9.559923e-02
    > 10 -0.037085369 0.001745332 5.264608e-05 0.02670972 -7.857276e-05
    2653,2662c2653,2662
    < 5 -0.007904557 -4.192393e-02 -1.068731e-01 0.128251461 0.278130638
    < 10 0.002067240 2.136183e-05 -1.967874e-05 0.000348983 0.003461298
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 -0.039104556 -5.732972e-03 0.002556058 0.0186519890 0.01684946 0.053178265
    < 5 0.002271106 -3.538883e-02 0.097057500 -0.0418895534 0.02797284 0.003450424
    < 10 -0.003353611 -5.738075e-05 0.000137853 -0.0001546823 0.00116967 -0.001299848
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 9.844606e-03 -0.0069526281 -0.0102059955 -0.166658339
    < 5 8.706212e-02 -0.0303033794 0.0187231930 -0.073561167
    < 10 6.641432e-05 -0.0001566448 0.0003757556 -0.001987536
    ---
    > 5 -0.007904557 -4.192393e-02 -1.068731e-01 0.128251461 0.278130639
    > 10 0.002067240 2.136184e-05 -1.967879e-05 0.000348983 0.003461298
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.038997769 -5.743523e-03 0.0025475931 0.0183796255 0.016845827
    > 5 0.002113014 -3.542558e-02 0.0967072245 -0.0418929613 0.027979933
    > 10 -0.003343491 -5.721849e-05 0.0001007032 -0.0001547646 0.001177401
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.053208623 1.018885e-02 -0.0069451741 -0.0096895083 -0.166602820
    > 5 0.002745458 8.697296e-02 -0.0303160211 0.0187162157 -0.073823069
    > 10 -0.001296140 6.648918e-05 -0.0001200648 0.0003747931 -0.001998159
    2667,2669c2667,2669
    < 1 -0.13866892 0.038996147 0.0149449872 0.026364760 -0.039104556 0.291467183
    < 5 -0.02151663 0.009981711 0.0225858612 -0.001484706 0.002271106 0.005606924
    < 10 -0.68967249 -0.009244866 0.0004251677 -0.098705004 -0.003353611 1.574361240
    ---
    > 1 -0.13861137 0.038857208 0.0153280427 0.025834333 -0.038997769 0.29142269
    > 5 -0.02152522 0.009249418 0.0218174229 -0.001308162 0.002113014 0.00561713
    > 10 -0.68974055 -0.009244504 0.0004251727 -0.098731990 -0.003343491 1.57454448
    2671,2673c2671,2673
    < 1 0.005847673 -0.01431393 0.005454284 0.014623379 -0.056673784 -0.04943911
    < 5 -0.010505621 -0.02360695 0.001994906 0.005739744 0.004220657 0.01561874
    < 10 0.022472349 -0.00273145 0.008172473 -0.002717033 0.666673857 -0.02770895
    ---
    > 1 0.00645832 -0.014486182 0.005676343 0.014726896 -0.056390926 -0.04971224
    > 5 -0.01026033 -0.022180867 0.001459373 0.005621947 0.004230689 0.01567129
    > 10 0.02247126 -0.002642466 0.008207656 -0.001797275 0.666350357 -0.02770722
    2675,2677c2675,2677
    < 1 0.003921103 -0.048659801 0.087296712
    < 5 0.008984028 -0.001858229 -0.006360237
    < 10 0.001089868 -0.167884692 0.001995285
    ---
    > 1 0.0041122928 -0.048281415 0.0871429010
    > 5 0.0085990684 -0.001801476 -0.0062843942
    > 10 -0.0006486254 -0.167939247 0.0001700394
    2682,2692c2682,2692
    < 1 -0.05350889 -0.094119943 -3.090654e-02 -0.018068814 -5.732972e-03
    < 5 0.02949231 -0.068186622 -1.527678e-01 0.096327081 -3.538883e-02
    < 10 -0.01036357 -0.001511086 -2.559471e-05 -0.001783839 -5.738075e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.005847673 0.110545181 2.751980e-02 0.0197418701 -0.0261697446
    < 5 -0.010505621 0.180769367 1.598217e-01 -0.0345782857 -0.1061457938
    < 10 0.022472349 0.004642743 -9.122364e-07 0.0006718519 -0.0001382097
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.007718543 -0.113802920 -0.0353577813 -0.010876065 0.0339719269
    < 5 -0.006840812 -0.284675790 -0.0825006162 0.028509157 0.1339686512
    < 10 0.012978939 -0.004066283 -0.0000763135 -0.002671092 -0.0000286765
    ---
    > 1 -0.05352857 -0.094400097 -3.091568e-02 -0.018554457 -5.743523e-03
    > 5 0.02951478 -0.068181151 -1.527560e-01 0.096229131 -3.542558e-02
    > 10 -0.01036328 -0.001511118 -2.559827e-05 -0.001783813 -5.721849e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.00645832 0.11099715 2.756364e-02 0.0198493668 -0.0258877336
    > 5 -0.01026033 0.18081311 1.603623e-01 -0.0346414842 -0.1064820452
    > 10 0.02247126 0.00464296 -7.992828e-05 0.0006695315 -0.0001309747
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.007305875 -0.114276988 -0.0354418753 -0.01052557 3.427148e-02
    > 5 -0.007207260 -0.284634848 -0.0829247410 0.02867430 1.343494e-01
    > 10 0.012978031 -0.004066436 0.0001229433 -0.00266390 8.272483e-05
    2697,2707c2697,2707
    < 1 -0.017279909 -2.941694e-02 -1.383249e-01 0.0556185256 0.002556058
    < 5 0.059030853 -1.951592e-01 -7.149526e-01 0.4064094022 0.097057500
    < 10 0.001001946 2.993584e-06 -2.748740e-06 0.0001264346 0.000137853
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.01431393 2.751980e-02 9.384099e-02 -1.004122e-02 2.218403e-02
    < 5 -0.02360695 1.598217e-01 7.932722e-01 -1.861843e-01 1.393780e-02
    < 10 -0.00273145 -9.122364e-07 2.733702e-05 3.143815e-05 4.582341e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0157456194 -0.0243653708 -9.461405e-02 0.0069097818 -4.182893e-02
    < 5 -0.0077171158 -0.1933462407 -4.439519e-01 0.1904183050 -5.760149e-02
    < 10 -0.0008429148 0.0000114844 -1.558103e-05 0.0001753324 -9.022542e-05
    ---
    > 1 -0.017287743 -2.942319e-02 -1.383181e-01 5.560032e-02 0.0025475931
    > 5 0.059006945 -1.950387e-01 -7.148051e-01 4.058140e-01 0.0967072245
    > 10 0.001268045 2.824234e-05 -1.995998e-06 5.963541e-05 0.0001007032
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.014486182 2.756364e-02 9.383421e-02 -0.0097900046 2.215898e-02
    > 5 -0.022180867 1.603623e-01 7.956085e-01 -0.1862739267 1.375938e-02
    > 10 -0.002642466 -7.992828e-05 1.686312e-05 0.0000730175 3.373514e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.015776669 -2.465967e-02 -9.458599e-02 0.0064888269 -4.168636e-02
    > 5 -0.009314976 -1.936855e-01 -4.456234e-01 0.1901035007 -5.725428e-02
    > 10 -0.001036574 8.433739e-05 -1.047238e-05 0.0001702743 -6.314344e-05
    2712,2722c2712,2722
    < 1 -0.077753987 -0.0062141369 6.488209e-02 -0.21575853 0.0186519890
    < 5 0.005971449 0.0880420884 2.430183e-01 -0.23178902 -0.0418895534
    < 10 0.009008428 -0.0001321516 -2.372718e-05 -0.03199458 -0.0001546823
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.005454284 0.0197418701 -1.004122e-02 0.1389776 -0.0220530070
    < 5 0.001994906 -0.0345782857 -1.861843e-01 0.1676356 -0.0127006703
    < 10 0.008172473 0.0006718519 3.143815e-05 0.0472977 -0.0002947087
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.515057e-03 -0.0170537316 4.745578e-03 -0.07052050 5.387256e-03
    < 5 -4.399825e-04 0.0458749327 1.174942e-01 -0.20157630 1.574550e-02
    < 10 -7.744182e-07 -0.0001769766 6.456067e-06 -0.01834769 -3.797238e-05
    ---
    > 1 -0.077463779 -0.0063543095 6.436849e-02 -0.21567935 0.0183796255
    > 5 0.006034385 0.0880736080 2.431613e-01 -0.23189515 -0.0418929613
    > 10 0.009016088 -0.0001315426 -2.370779e-05 -0.03199371 -0.0001547646
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.005676343 0.0198493668 -0.0097900046 0.13863777 -0.021925681
    > 5 0.001459373 -0.0346414842 -0.1862739267 0.16776840 -0.012090000
    > 10 0.008207656 0.0006695315 0.0000730175 0.04729278 -0.000251663
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.348371e-03 -0.0170289293 4.450320e-03 -0.06986015 5.933270e-03
    > 5 -1.498301e-04 0.0459480651 1.176118e-01 -0.20160233 1.566837e-02
    > 10 1.743981e-05 -0.0001754057 3.780718e-05 -0.01834393 4.358289e-05
    2726,2737c2726,2737
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
    < 1 0.01768141 1.649026e-02 -2.974634e-02 0.0308768338 0.01684946 0.014623379
    < 5 -0.02533939 6.714680e-02 1.528368e-01 -0.0991939809 0.02797284 0.005739744
    < 10 0.00105734 4.461157e-05 -4.823397e-06 0.0003444878 0.00116967 -0.002717033
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 -0.0261697446 2.218403e-02 -0.0220530070 0.0998644968 -0.020868871
    < 5 -0.1061457938 1.393780e-02 -0.0127006703 0.4064174588 0.006523963
    < 10 -0.0001382097 4.582341e-05 -0.0002947087 0.0005178811 -0.001268025
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0244330936 -1.926962e-02 0.0136293800 -0.0263588927
    < 5 0.1709216619 -5.538551e-02 0.0287865853 -0.5073429505
    < 10 0.0001272665 -4.632879e-05 0.0002883238 -0.0007871341
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
    > 1 0.017755896 0.0165336330 -2.976886e-02 0.0309267772 0.016845827
    > 5 -0.025143743 0.0673953794 1.537527e-01 -0.0999043314 0.027979933
    > 10 0.001010435 0.0000445859 -4.914330e-06 0.0002902911 0.001177401
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.014726896 -0.0258877336 2.215898e-02 -0.021925681 0.099985204
    > 5 0.005621947 -0.1064820452 1.375938e-02 -0.012090000 0.406244805
    > 10 -0.001797275 -0.0001309747 3.373514e-05 -0.000251663 0.000522792
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0211510430 0.023822695 -1.922230e-02 0.0131754912 -0.0263270099
    > 5 0.0057386372 0.171920806 -5.479074e-02 0.0280992358 -0.5078625252
    > 10 -0.0006727572 0.000128403 -5.147695e-05 0.0002026528 -0.0008001017
    2742,2752c2742,2752
    < 1 0.04527970 -0.046942653 -0.0197325602 -0.023654689 0.053178265
    < 5 -0.01711956 0.005906418 0.0081225145 0.003320926 0.003450424
    < 10 -0.32560004 -0.004931735 0.0001785057 -0.037117684 -0.001299848
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.056673784 0.007718543 0.0157456194 1.515057e-03 -0.020868871
    < 5 0.004220657 -0.006840812 -0.0077171158 -4.399825e-04 0.006523963
    < 10 0.666673857 0.012978939 -0.0008429148 -7.744182e-07 -0.001268025
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.260293574 -0.00393902 -0.0270080898 -0.0145852823 -0.1121484858
    < 5 0.003650498 0.01205573 0.0014891557 -0.0002018401 -0.0097031918
    < 10 0.346552542 -0.01466502 0.0003377466 -0.0783237810 0.0007683922
    ---
    > 1 0.04493873 -0.046887462 -0.0198072872 -0.023572103 0.053208623
    > 5 -0.01708604 0.005778696 0.0092095144 0.002810562 0.002745458
    > 10 -0.32552103 -0.004931153 0.0001785236 -0.037085369 -0.001296140
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.056390926 0.007305875 0.015776669 1.348371e-03 -0.0211510430
    > 5 0.004230689 -0.007207260 -0.009314976 -1.498301e-04 0.0057386372
    > 10 0.666350357 0.012978031 -0.001036574 1.743981e-05 -0.0006727572
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.260104019 -0.003631698 -2.703901e-02 -0.0147234227 -0.1122852346
    > 5 0.003594185 0.012105417 2.323057e-03 0.0001082379 -0.0084072591
    > 10 0.346309699 -0.014664090 -6.986208e-05 -0.0782974576 0.0001302206
    2757,2759c2757,2759
    < 1 0.06418401 0.082544727 2.654650e-02 0.011598156 9.844606e-03 -0.04943911
    < 5 -0.05087117 0.136290445 1.866088e-01 -0.113636895 8.706212e-02 0.01561874
    < 10 0.01393103 0.001376718 1.698332e-05 0.001745325 6.641432e-05 -0.02770895
    ---
    > 1 0.06372503 0.082624678 2.701209e-02 0.011652576 1.018885e-02 -0.04971224
    > 5 -0.05086909 0.136186509 1.867800e-01 -0.113738960 8.697296e-02 0.01567129
    > 10 0.01393215 0.001376746 1.698283e-05 0.001745332 6.648918e-05 -0.02770722
    2761,2763c2761,2763
    < 1 -0.113802920 -0.0243653708 -0.0170537316 0.0244330936 -0.00393902
    < 5 -0.284675790 -0.1933462407 0.0458749327 0.1709216619 0.01205573
    < 10 -0.004066283 0.0000114844 -0.0001769766 0.0001272665 -0.01466502
    ---
    > 1 -0.114276988 -2.465967e-02 -0.0170289293 0.023822695 -0.003631698
    > 5 -0.284634848 -1.936855e-01 0.0459480651 0.171920806 0.012105417
    > 10 -0.004066436 8.433739e-05 -0.0001754057 0.000128403 -0.014664090
    2765,2767c2765,2767
    < 1 0.146027202 3.893101e-02 0.013208525 -4.657277e-02
    < 5 0.689980684 1.165303e-01 -0.024867860 -3.673431e-01
    < 10 0.003821747 5.999145e-05 0.003094312 1.024106e-05
    ---
    > 1 0.146460422 3.927633e-02 0.012923231 -4.737794e-02
    > 5 0.689742088 1.161851e-01 -0.025223562 -3.685764e-01
    > 10 0.003821908 -9.786501e-05 0.003088707 -7.157427e-05
    2772,2782c2772,2782
    < 1 0.0322300480 3.571064e-02 1.392236e-01 -4.834098e-02 -0.0069526281
    < 5 -0.0153337243 9.597790e-02 3.862819e-01 -2.471851e-01 -0.0303033794
    < 10 -0.0004885665 2.457927e-05 3.114033e-06 -1.023992e-05 -0.0001566448
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.003921103 -0.0353577813 -9.461405e-02 4.745578e-03 -1.926962e-02
    < 5 0.008984028 -0.0825006162 -4.439519e-01 1.174942e-01 -5.538551e-02
    < 10 0.001089868 -0.0000763135 -1.558103e-05 6.456067e-06 -4.632879e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0270080898 3.893101e-02 1.140100e-01 -4.441407e-03 0.0553084532
    < 5 0.0014891557 1.165303e-01 3.210901e-01 -1.398212e-01 0.1122232740
    < 10 0.0003377466 5.999145e-05 2.804146e-05 -2.276542e-05 0.0001037158
    ---
    > 1 0.0322048225 3.571344e-02 1.392003e-01 -4.832578e-02 -0.0069451741
    > 5 -0.0152675121 9.488304e-02 3.869382e-01 -2.475329e-01 -0.0303160211
    > 10 -0.0002829929 -3.618484e-05 -1.249156e-08 5.264608e-05 -0.0001200648
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0041122928 -0.0354418753 -9.458599e-02 4.450320e-03 -1.922230e-02
    > 5 0.0085990684 -0.0829247410 -4.456234e-01 1.176118e-01 -5.479074e-02
    > 10 -0.0006486254 0.0001229433 -1.047238e-05 3.780718e-05 -5.147695e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -2.703901e-02 3.927633e-02 1.139667e-01 -4.080492e-03 5.512820e-02
    > 5 2.323057e-03 1.161851e-01 3.226823e-01 -1.400659e-01 1.125329e-01
    > 10 -6.986208e-05 -9.786501e-05 2.976308e-05 8.433088e-06 9.974756e-05
    2787,2797c2787,2797
    < 1 0.06896628 -0.004945735 -2.882774e-02 0.07330607 -0.0102059955 -0.048659801
    < 5 -0.01131870 -0.081244256 -2.914371e-01 0.31586796 0.0187231930 -0.001858229
    < 10 0.07240667 0.001040864 -3.549501e-05 0.02671203 0.0003757556 -0.167884692
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 -0.010876065 0.0069097818 -0.07052050 0.0136293800 -0.0145852823
    < 5 0.028509157 0.1904183050 -0.20157630 0.0287865853 -0.0002018401
    < 10 -0.002671092 0.0001753324 -0.01834769 0.0002883238 -0.0783237810
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.013208525 -4.441407e-03 0.07413706 -0.003283015
    < 5 -0.024867860 -1.398212e-01 0.35779475 -0.062003347
    < 10 0.003094312 -2.276542e-05 0.03371237 -0.000181145
    ---
    > 1 0.06786429 -0.004860131 -2.800403e-02 0.07324458 -0.0096895083 -0.048281415
    > 5 -0.01136241 -0.081270807 -2.915511e-01 0.31592859 0.0187162157 -0.001801476
    > 10 0.07240787 0.001038626 -3.557477e-05 0.02670972 0.0003747931 -0.167939247
    > d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3
    > 1 -0.01052557 0.0064888269 -0.06986015 0.0131754912 -0.0147234227 0.012923231
    > 5 0.02867430 0.1901035007 -0.20160233 0.0280992358 0.0001082379 -0.025223562
    > 10 -0.00266390 0.0001702743 -0.01834393 0.0002026528 -0.0782974576 0.003088707
    > d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -4.080492e-03 0.07334693 -4.272089e-03
    > 5 -1.400659e-01 0.35753616 -6.182832e-02
    > 10 8.433088e-06 0.03371085 -1.482161e-05
    2802,2812c2802,2812
    < 1 0.0401654942 -1.805534e-02 0.0371450652 -0.0313132670 -0.166658339
    < 5 0.0322133098 -9.555733e-02 -0.1070986150 0.0937780924 -0.073561167
    < 10 -0.0006223222 8.038304e-06 0.0000110807 -0.0001588507 -0.001987536
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.087296712 0.0339719269 -4.182893e-02 5.387256e-03 -0.0263588927
    < 5 -0.006360237 0.1339686512 -5.760149e-02 1.574550e-02 -0.5073429505
    < 10 0.001995285 -0.0000286765 -9.022542e-05 -3.797238e-05 -0.0007871341
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.1121484858 -4.657277e-02 0.0553084532 -0.003283015 0.472665500
    < 5 -0.0097031918 -3.673431e-01 0.1122232740 -0.062003347 1.013753332
    < 10 0.0007683922 1.024106e-05 0.0001037158 -0.000181145 0.001321978
    ---
    > 1 0.040164460 -1.803348e-02 3.700592e-02 -3.130000e-02 -0.166602820
    > 5 0.032338461 -9.614347e-02 -1.088114e-01 9.559923e-02 -0.073823069
    > 10 -0.000211752 -2.480987e-05 9.322443e-06 -7.857276e-05 -0.001998159
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.0871429010 3.427148e-02 -4.168636e-02 5.933270e-03 -0.0263270099
    > 5 -0.0062843942 1.343494e-01 -5.725428e-02 1.566837e-02 -0.5078625252
    > 10 0.0001700394 8.272483e-05 -6.314344e-05 4.358289e-05 -0.0008001017
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.1122852346 -4.737794e-02 5.512820e-02 -4.272089e-03 0.472211684
    > 5 -0.0084072591 -3.685764e-01 1.125329e-01 -6.182832e-02 1.015712071
    > 10 0.0001302206 -7.157427e-05 9.974756e-05 -1.482161e-05 0.001337384
    2816,2862c2816,2862
    < d_y1_d_x1 0.3029542697 -0.017218365 -0.006872414 -0.0007987829 -0.016039859
    < d_y2_d_x1 -0.0172183652 0.195025575 0.062271955 0.0401397377 -0.010996137
    < d_y3_d_x1 -0.0068724138 0.062271955 0.345119008 -0.2529480005 0.027231436
    < d_y4_d_x1 -0.0007987829 0.040139738 -0.252948001 0.7042549525 -0.039872968
    < d_y5_d_x1 -0.0160398589 -0.010996137 0.027231436 -0.0398729678 0.126154409
    < d_y1_d_x2 -0.1386689211 0.038996147 0.014944987 0.0263647598 -0.039104556
    < d_y2_d_x2 -0.0535088913 -0.094119943 -0.030906536 -0.0180688141 -0.005732972
    < d_y3_d_x2 -0.0172799090 -0.029416941 -0.138324934 0.0556185256 0.002556058
    < d_y4_d_x2 -0.0777539867 -0.006214137 0.064882086 -0.2157585278 0.018651989
    < d_y5_d_x2 0.0176814058 0.016490257 -0.029746337 0.0308768338 0.016849465
    < d_y1_d_x3 0.0452797000 -0.046942653 -0.019732560 -0.0236546890 0.053178265
    < d_y2_d_x3 0.0641840143 0.082544727 0.026546503 0.0115981560 0.009844606
    < d_y3_d_x3 0.0322300480 0.035710642 0.139223574 -0.0483409800 -0.006952628
    < d_y4_d_x3 0.0689662751 -0.004945735 -0.028827735 0.0733060748 -0.010205995
    < d_y5_d_x3 0.0401654942 -0.018055338 0.037145065 -0.0313132670 -0.166658339
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < d_y1_d_x1 -0.138668921 -0.053508891 -0.017279909 -0.077753987 0.01768141
    < d_y2_d_x1 0.038996147 -0.094119943 -0.029416941 -0.006214137 0.01649026
    < d_y3_d_x1 0.014944987 -0.030906536 -0.138324934 0.064882086 -0.02974634
    < d_y4_d_x1 0.026364760 -0.018068814 0.055618526 -0.215758528 0.03087683
    < d_y5_d_x1 -0.039104556 -0.005732972 0.002556058 0.018651989 0.01684946
    < d_y1_d_x2 0.291467183 0.005847673 -0.014313930 0.005454284 0.01462338
    < d_y2_d_x2 0.005847673 0.110545181 0.027519798 0.019741870 -0.02616974
    < d_y3_d_x2 -0.014313930 0.027519798 0.093840989 -0.010041217 0.02218403
    < d_y4_d_x2 0.005454284 0.019741870 -0.010041217 0.138977641 -0.02205301
    < d_y5_d_x2 0.014623379 -0.026169745 0.022184026 -0.022053007 0.09986450
    < d_y1_d_x3 -0.056673784 0.007718543 0.015745619 0.001515057 -0.02086887
    < d_y2_d_x3 -0.049439115 -0.113802920 -0.024365371 -0.017053732 0.02443309
    < d_y3_d_x3 0.003921103 -0.035357781 -0.094614048 0.004745578 -0.01926962
    < d_y4_d_x3 -0.048659801 -0.010876065 0.006909782 -0.070520498 0.01362938
    < d_y5_d_x3 0.087296712 0.033971927 -0.041828929 0.005387256 -0.02635889
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < d_y1_d_x1 0.045279700 0.064184014 0.032230048 0.068966275 0.040165494
    < d_y2_d_x1 -0.046942653 0.082544727 0.035710642 -0.004945735 -0.018055338
    < d_y3_d_x1 -0.019732560 0.026546503 0.139223574 -0.028827735 0.037145065
    < d_y4_d_x1 -0.023654689 0.011598156 -0.048340980 0.073306075 -0.031313267
    < d_y5_d_x1 0.053178265 0.009844606 -0.006952628 -0.010205995 -0.166658339
    < d_y1_d_x2 -0.056673784 -0.049439115 0.003921103 -0.048659801 0.087296712
    < d_y2_d_x2 0.007718543 -0.113802920 -0.035357781 -0.010876065 0.033971927
    < d_y3_d_x2 0.015745619 -0.024365371 -0.094614048 0.006909782 -0.041828929
    < d_y4_d_x2 0.001515057 -0.017053732 0.004745578 -0.070520498 0.005387256
    < d_y5_d_x2 -0.020868871 0.024433094 -0.019269620 0.013629380 -0.026358893
    < d_y1_d_x3 0.260293574 -0.003939020 -0.027008090 -0.014585282 -0.112148486
    < d_y2_d_x3 -0.003939020 0.146027202 0.038931012 0.013208525 -0.046572767
    < d_y3_d_x3 -0.027008090 0.038931012 0.114010032 -0.004441407 0.055308453
    < d_y4_d_x3 -0.014585282 0.013208525 -0.004441407 0.074137060 -0.003283015
    < d_y5_d_x3 -0.112148486 -0.046572767 0.055308453 -0.003283015 0.472665500
    ---
    > d_y1_d_x1 0.3029542699 -0.017218365 -0.006872414 -0.0007987828 -0.016039859
    > d_y2_d_x1 -0.0172183652 0.195025575 0.062271955 0.0401397379 -0.010996137
    > d_y3_d_x1 -0.0068724138 0.062271955 0.345119008 -0.2529480002 0.027231435
    > d_y4_d_x1 -0.0007987828 0.040139738 -0.252948000 0.7042549520 -0.039872968
    > d_y5_d_x1 -0.0160398590 -0.010996137 0.027231435 -0.0398729677 0.126154409
    > d_y1_d_x2 -0.1386113747 0.038857208 0.015328043 0.0258343328 -0.038997769
    > d_y2_d_x2 -0.0535285664 -0.094400097 -0.030915675 -0.0185544571 -0.005743523
    > d_y3_d_x2 -0.0172877430 -0.029423192 -0.138318077 0.0556003204 0.002547593
    > d_y4_d_x2 -0.0774637790 -0.006354309 0.064368492 -0.2156793527 0.018379626
    > d_y5_d_x2 0.0177558959 0.016533633 -0.029768864 0.0309267772 0.016845827
    > d_y1_d_x3 0.0449387301 -0.046887462 -0.019807287 -0.0235721031 0.053208623
    > d_y2_d_x3 0.0637250250 0.082624678 0.027012089 0.0116525757 0.010188850
    > d_y3_d_x3 0.0322048225 0.035713438 0.139200296 -0.0483257794 -0.006945174
    > d_y4_d_x3 0.0678642931 -0.004860131 -0.028004035 0.0732445811 -0.009689508
    > d_y5_d_x3 0.0401644605 -0.018033481 0.037005924 -0.0312999965 -0.166602820
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > d_y1_d_x1 -0.138611375 -0.053528566 -0.017287743 -0.077463779 0.01775590
    > d_y2_d_x1 0.038857208 -0.094400097 -0.029423192 -0.006354309 0.01653363
    > d_y3_d_x1 0.015328043 -0.030915675 -0.138318077 0.064368492 -0.02976886
    > d_y4_d_x1 0.025834333 -0.018554457 0.055600320 -0.215679353 0.03092678
    > d_y5_d_x1 -0.038997769 -0.005743523 0.002547593 0.018379626 0.01684583
    > d_y1_d_x2 0.291422688 0.006458320 -0.014486182 0.005676343 0.01472690
    > d_y2_d_x2 0.006458320 0.110997148 0.027563642 0.019849367 -0.02588773
    > d_y3_d_x2 -0.014486182 0.027563642 0.093834214 -0.009790005 0.02215898
    > d_y4_d_x2 0.005676343 0.019849367 -0.009790005 0.138637769 -0.02192568
    > d_y5_d_x2 0.014726896 -0.025887734 0.022158979 -0.021925681 0.09998520
    > d_y1_d_x3 -0.056390926 0.007305875 0.015776669 0.001348371 -0.02115104
    > d_y2_d_x3 -0.049712244 -0.114276988 -0.024659675 -0.017028929 0.02382270
    > d_y3_d_x3 0.004112293 -0.035441875 -0.094585986 0.004450320 -0.01922230
    > d_y4_d_x3 -0.048281415 -0.010525566 0.006488827 -0.069860149 0.01317549
    > d_y5_d_x3 0.087142901 0.034271480 -0.041686361 0.005933270 -0.02632701
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > d_y1_d_x1 0.044938730 0.063725025 0.032204823 0.067864293 0.040164460
    > d_y2_d_x1 -0.046887462 0.082624678 0.035713438 -0.004860131 -0.018033481
    > d_y3_d_x1 -0.019807287 0.027012089 0.139200296 -0.028004035 0.037005924
    > d_y4_d_x1 -0.023572103 0.011652576 -0.048325779 0.073244581 -0.031299996
    > d_y5_d_x1 0.053208623 0.010188850 -0.006945174 -0.009689508 -0.166602820
    > d_y1_d_x2 -0.056390926 -0.049712244 0.004112293 -0.048281415 0.087142901
    > d_y2_d_x2 0.007305875 -0.114276988 -0.035441875 -0.010525566 0.034271480
    > d_y3_d_x2 0.015776669 -0.024659675 -0.094585986 0.006488827 -0.041686361
    > d_y4_d_x2 0.001348371 -0.017028929 0.004450320 -0.069860149 0.005933270
    > d_y5_d_x2 -0.021151043 0.023822695 -0.019222304 0.013175491 -0.026327010
    > d_y1_d_x3 0.260104019 -0.003631698 -0.027039012 -0.014723423 -0.112285235
    > d_y2_d_x3 -0.003631698 0.146460422 0.039276335 0.012923231 -0.047377939
    > d_y3_d_x3 -0.027039012 0.039276335 0.113966702 -0.004080492 0.055128200
    > d_y4_d_x3 -0.014723423 0.012923231 -0.004080492 0.073346928 -0.004272089
    > d_y5_d_x3 -0.112285235 -0.047377939 0.055128200 -0.004272089 0.472211684
    2867,2877c2867,2877
    < 1 -0.23164907 -0.033140141 -4.011498e-03 -0.06214431 0.0018383031 -0.01660894
    < 5 -0.07060852 0.062713027 2.905693e-02 0.01693774 -0.0089005305 0.01558753
    < 10 0.04304699 0.002235532 6.044276e-06 0.01477834 0.0003810586 -0.36430303
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3
    < 1 0.05573320 2.714252e-02 0.063027361 -0.008348877 0.06292744 -0.057398530
    < 5 -0.03207157 -1.530998e-02 -0.001865175 0.002897682 0.01095790 -0.001318390
    < 10 -0.00687948 -4.440892e-05 0.001288553 0.001321165 -0.30973002 0.006965956
    < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0434405983 -0.0375477427 0.0075855988
    < 5 -0.0044853010 -0.0005065393 0.0007327472
    < 10 -0.0005329071 0.0393199362 -0.0006772360
    ---
    > 1 -0.23164907 -0.033140140 -4.011498e-03 -0.06214431 0.0018383031 -0.01669775
    > 5 -0.07060852 0.062713027 2.905693e-02 0.01693774 -0.0089005310 0.01616485
    > 10 0.04304699 0.002235532 6.044498e-06 0.01477834 0.0003810586 -0.36409209
    > d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    > 1 0.055933036 0.0271886680 0.063182792 -8.484879e-03 0.06238343
    > 5 -0.031905034 -0.0150213175 -0.001852685 2.908784e-03 0.01036948
    > 10 -0.006879653 0.0002442491 0.001245531 3.330669e-05 -0.30969671
    > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.058664185 -0.043379883 -0.0374811293 0.007821521
    > 5 -0.001396105 -0.004829470 -0.0004107825 0.001487699
    > 10 0.006962183 0.001332268 0.0393553246 0.000721645
    2882,2884c2882,2884
    < 1 0.201546991 -6.112827e-02 -0.0181665231 -0.100909653 0.0054097379 0.00000000
    < 5 0.003769362 -9.991672e-03 -0.0032353362 -0.000354810 0.0006657358 0.01558753
    < 10 0.373667957 -2.496226e-05 -0.0000361966 -0.001967969 0.0004485682 0.00000000
    ---
    > 1 0.201546991 -6.112827e-02 -1.816652e-02 -0.100909653 0.0054097379 0.00000000
    > 5 0.003769362 -9.991672e-03 -3.235336e-03 -0.000354810 0.0006657360 0.01616485
    > 10 0.373667957 -2.496226e-05 -3.619638e-05 -0.001967969 0.0004485681 0.00000000
    2886,2888c2886,2888
    < 1 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000 0.000000000
    < 5 -0.03205214 -0.01530998 -0.001865175 0.002897682 0.0109579 -0.001348921
    < 10 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000 0.000000000
    ---
    > 1 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
    > 5 -0.03190503 -0.01502132 -0.001852685 0.002908784 0.01036948 -0.001396105
    > 10 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
    2890,2892c2890,2892
    < 1 0.000000000 0.0000000000 0.0000000000
    < 5 -0.004485301 -0.0005065393 0.0007327472
    < 10 0.000000000 0.0000000000 0.0000000000
    ---
    > 1 0.00000000 0.0000000000 0.000000000
    > 5 -0.00482947 -0.0004107825 0.001487699
    > 10 0.00000000 0.0000000000 0.000000000
    2898,2899c2898,2899
    < 5 0.03924712 -0.03485848 -1.615104e-02 -0.009414693 0.0049472805
    < 10 -0.02035225 -0.00105694 -2.857492e-06 -0.006987072 -0.0001801612
    ---
    > 5 0.03924712 -0.03485848 -1.615104e-02 -0.009414693 0.0049472810
    > 10 -0.02035225 -0.00105694 -2.857936e-06 -0.006987072 -0.0001801612
    2901,2907c2901,2907
    < 1 0.412923387 0.0410788397 0.019148543 0.0383063442 -0.0067314350
    < 5 -0.003380474 0.0078773671 0.006978716 0.0006457785 -0.0005777139
    < 10 0.502786024 0.0009922643 -0.001974029 -0.0174124429 -0.0010094072
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.075706108 -0.0724309501 -0.053142560 -0.0482502927 0.0098920871
    < 5 -0.007382983 0.0006633583 0.001276756 0.0001901257 0.0002664535
    < 10 0.146657686 -0.0032923100 0.000288658 -0.0185428062 0.0013877788
    ---
    > 1 0.413145431 0.0420669382 0.019133625 0.0386727179 -0.0068091506
    > 5 -0.003524803 0.0079217759 0.007067534 0.0007193308 -0.0008108608
    > 10 0.502677777 0.0009904211 -0.001063646 -0.0173791363 0.0003450649
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.076294526 -0.0719757587 -0.0531050898 -0.047284399 0.0097810648
    > 5 -0.009492407 0.0004496403 -0.0007549517 0.000106859 -0.0006439294
    > 10 0.146282986 -0.0032909873 -0.0005995204 -0.018578195 0.0007660539
    2912,2914c2912,2914
    < 1 0.24736037 0.035387827 4.283573e-03 0.06635917 -0.0019629837 0.01803002
    < 5 0.04413310 -0.039198105 -1.816172e-02 -0.01058675 0.0055631816 -0.01132427
    < 10 0.05397296 0.002802943 7.579493e-06 0.01852930 0.0004777777 -0.45642656
    ---
    > 1 0.24736037 0.035387828 4.283573e-03 0.06635917 -0.0019629838 0.01807443
    > 5 0.04413310 -0.039198105 -1.816172e-02 -0.01058675 0.0055631807 -0.01156852
    > 10 0.05397296 0.002802943 7.579715e-06 0.01852930 0.0004777782 -0.45662640
    2916,2918c2916,2918
    < 1 -0.058730798 -0.0290122093 -0.066635586 9.020562e-03 0.367126687
    < 5 0.019673152 0.0078936857 0.001196265 -1.798561e-03 -0.001837264
    < 10 -0.008625544 0.0007549517 0.001627865 6.661338e-05 -0.057624028
    ---
    > 1 -0.058630878 -0.029030597 -0.066402439 0.0090233376 0.36647166
    > 5 0.019698132 0.008215650 0.001280920 -0.0009103829 -0.00261442
    > 10 -0.008624785 0.000865974 0.001632028 0.0006106227 -0.05780444
    2920,2922c2920,2922
    < 1 0.035194657 0.0322026844 0.0032788075 -0.0048329536
    < 5 -0.009075739 0.0004728091 -0.0000564376 -0.0009773943
    < 10 0.006469632 -0.0006861703 0.0326364110 0.0001785316
    ---
    > 1 0.033984514 0.0322134397 0.0019354377 -4.852382e-03
    > 5 -0.009039656 -0.0004597785 -0.0002132566 7.731771e-05
    > 10 0.006469654 0.0005128707 0.0326641666 1.277652e-03
    2927,2937c2927,2937
    < 1 0.005905711 0.151126660 0.0381485427 0.0133838796 -8.059541e-03
    < 5 0.036254647 -0.127722908 -0.0631217321 0.0025958804 -2.262905e-02
    < 10 0.008505339 -0.005666701 -0.0002005769 -0.0005325707 -5.389289e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.074795725 -0.15299984 -0.0261252825 -1.006972e-02 0.029634628
    < 5 -0.007804868 0.22605529 0.0759170504 1.387779e-06 -0.063238303
    < 10 -0.010250134 0.02070171 0.0001110223 1.186551e-03 -0.001310063
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.085975671 0.12526646 0.0278960882 0.005051515 -0.0295957703
    < 5 -0.007094325 -0.39297732 -0.0409228207 -0.004070355 0.0958566559
    < 10 0.026847968 -0.01589523 -0.0002442491 -0.001987993 0.0001332268
    ---
    > 1 0.005905710 0.151126660 0.0381485427 0.0133838793 -8.059541e-03
    > 5 0.036254647 -0.127722908 -0.0631217321 0.0025958805 -2.262905e-02
    > 10 0.008505339 -0.005666701 -0.0002005764 -0.0005325707 -5.389278e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.074540374 -0.15319968 -0.026152344 -9.847678e-03 0.0295180547
    > 5 -0.008504308 0.22603031 0.076116891 -3.053113e-05 -0.0640598685
    > 10 -0.010219603 0.02070232 -0.000577316 1.198347e-03 -0.0003219647
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.084987573 0.12613244 0.027959232 0.005506706 -0.029412583
    > 5 -0.008093526 -0.39311054 -0.042077453 -0.003926026 0.096234132
    > 10 0.026917357 -0.01589779 0.001620926 -0.001922074 0.001498801
    2942,2944c2942,2944
    < 1 -0.0538017414 2.238657e-01 4.695843e-02 1.641607e-02 -1.900505e-02
    < 5 -0.0018977103 2.250049e-01 3.344142e-02 1.072206e-02 -9.541636e-02
    < 10 -0.0008749481 4.567328e-05 7.288836e-06 4.313015e-06 4.380274e-06
    ---
    > 1 -0.0538017415 2.238657e-01 4.695843e-02 1.641607e-02 -1.900505e-02
    > 5 -0.0018977104 2.250049e-01 3.344142e-02 1.072206e-02 -9.541636e-02
    > 10 -0.0008749482 4.567328e-05 7.288836e-06 4.313022e-06 4.380274e-06
    2946,2948c2946,2948
    < 1 0.000000000 0.0000000 0.00000000 0.000000e+00 0.00000000 0.000000000
    < 5 -0.007871481 0.2260053 0.07585044 9.714451e-06 -0.06330492 -0.006961098
    < 10 0.000000000 0.0000000 0.00000000 0.000000e+00 0.00000000 0.000000000
    ---
    > 1 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
    > 5 -0.008504308 0.225997 0.07611689 -3.053113e-05 -0.06405987 -0.008093526
    > 10 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
    2951c2951
    < 5 -0.3928774 -0.04078959 -0.004087009 0.09598988
    ---
    > 5 -0.3930439 -0.04207745 -0.003926026 0.09623413
    2957,2967c2957,2967
    < 1 0.007229072 0.184991393 4.669694e-02 0.0163829633 -9.865537e-03
    < 5 -0.020151823 0.070993646 3.508566e-02 -0.0014428972 1.257816e-02
    < 10 -0.004021252 0.002679168 9.483148e-05 0.0002517949 2.548062e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.030997769 -0.115554796 -0.0232314998 -1.067906e-02 0.025247757
    < 5 0.002887351 0.099377616 -0.0086693374 1.068459e-02 -0.059156473
    < 10 -0.004731228 -0.004072897 -0.0009023571 -3.141164e-05 -0.001085257
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.103617115 0.154776192 0.034301381 0.0072830630 -0.036329273
    < 5 0.002853273 0.218322582 0.022537527 0.0022412627 -0.053745897
    < 10 -0.012506662 0.007511353 0.001865175 0.0009679757 0.001587619
    ---
    > 1 0.007229072 0.184991393 4.669694e-02 0.0163829637 -9.865537e-03
    > 5 -0.020151823 0.070993646 3.508566e-02 -0.0014428970 1.257816e-02
    > 10 -0.004021252 0.002679168 9.483148e-05 0.0002517949 2.548028e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.031253120 -0.11525504 -0.023259602 -9.724268e-03 0.0251783683
    > 5 0.003775530 0.09951639 -0.008147532 1.068320e-02 -0.0585680546
    > 10 -0.004489755 -0.00407461 -0.001235424 -8.900447e-05 -0.0005967585
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.104294351 0.153832502 0.0343010342 0.0067168493 -0.0360822483
    > 5 0.002808864 0.218255969 0.0219380070 0.0022315483 -0.0540567591
    > 10 -0.012467805 0.007513196 0.0007993606 0.0009950374 0.0005995204
    2972,2982c2972,2982
    < 1 -0.006306257 -0.161376630 -0.0407359182 -0.0142916234 8.606169e-03
    < 5 -0.022660578 0.079831833 0.0394535618 -0.0016225269 1.414404e-02
    < 10 0.010664121 -0.007104995 -0.0002514871 -0.0006677451 -6.757217e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 -0.07869261 0.16472379 2.796721e-02 1.205702e-02 -0.0317301740 0.030176204
    < 5 0.00547340 -0.14127588 -4.792833e-02 4.024558e-05 0.0378586051 0.002409955
    < 10 -0.01292577 0.02595203 8.881784e-05 1.514067e-03 0.0002553513 0.024498169
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.06297463 -0.0210447074 -0.004839287 0.0208373962
    < 5 0.47059734 0.0598092189 0.013020222 -0.1541693593
    < 10 -0.01421396 -0.0009245619 -0.002011772 -0.0008743141
    ---
    > 1 -0.006306257 -0.161376630 -0.0407359181 -0.0142916236 0.0086061686
    > 5 -0.022660579 0.079831833 0.0394535604 -0.0016225270 0.0141440424
    > 10 0.010664121 -0.007104995 -0.0002514871 -0.0006677451 -0.0000675725
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.078226314 0.16501245 0.0279751916 1.277867e-02 -0.0320299343
    > 5 0.005151435 -0.14119261 -0.0477062834 -7.632783e-05 0.0385691479
    > 10 -0.012878587 0.02595552 0.0006217249 1.489781e-03 0.0003663736
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.030020773 -0.06293022 -0.0210117477 -0.004872594 2.082074e-02
    > 5 0.001410755 0.47026427 0.0583437247 0.012938343 -1.559568e-01
    > 10 0.024292777 -0.01421424 -0.0003916547 -0.001944465 -3.054451e-05
    2989c2989
    < 10 6.478151e-07 -2.319379e-06 -8.134382e-06 0.003468366 7.279732e-07
    ---
    > 10 6.477041e-07 -2.319380e-06 -8.134604e-06 0.003468366 7.278622e-07
    2991,2997c2991,2997
    < 1 2.717826e-02 -3.268497e-02 -1.684434e-01 0.01060263 -0.0290573121
    < 5 -5.895284e-03 3.814726e-02 3.601563e-01 -0.05955098 0.0920929999
    < 10 -1.110223e-05 2.415602e-05 8.881784e-05 -0.01381742 0.0003552714
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.029054537 2.996492e-02 0.1660508536 -0.007827072 0.0322131211
    < 5 -0.001054712 -3.786693e-02 -0.2386424391 0.053905491 -0.0920374887
    < 10 -0.000119349 -1.988427e-05 -0.0002442491 0.010406259 0.0005440093
    ---
    > 1 2.711165e-02 -3.268497e-02 -0.1684166695 0.01051381 -2.902956e-02
    > 5 -4.696243e-03 3.850253e-02 0.3615441280 -0.05947881 9.168222e-02
    > 10 5.551115e-06 2.320193e-05 0.0007993606 -0.01380632 2.220446e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -2.812195e-02 3.155254e-02 0.1660383636 -0.007083223 3.205214e-02
    > 5 -1.731948e-03 -3.806677e-02 -0.2394751064 0.053967941 -9.214851e-02
    > 10 2.775558e-05 -1.884343e-05 -0.0001554312 0.010393769 2.220446e-05
    3002,3004c3002,3004
    < 1 -0.0156294415 5.042858e-02 0.2984392 -8.143947e-02 0.02536810 0.000000000
    < 5 -0.0005183528 1.163298e-02 0.1595899 -1.645152e-02 0.03637096 -0.005750955
    < 10 0.0000000000 2.385245e-12 0.0000000 -1.614253e-05 0.00000000 0.000000000
    ---
    > 1 -0.0156294413 5.042858e-02 0.2984392 -8.143947e-02 0.02536810 0.000000000
    > 5 -0.0005183526 1.163298e-02 0.1595899 -1.645152e-02 0.03637096 -0.004696243
    > 10 0.0000000000 2.385245e-12 0.0000000 -1.614254e-05 0.00000000 0.000000000
    3006,3008c3006,3008
    < 1 0.00000000 0.000000 0.00000000 0.00000000 0.00000000 0.00000000
    < 5 0.03818335 0.360445 -0.05955098 0.09194867 -0.00114353 -0.03788914
    < 10 0.00000000 0.000000 0.00000000 0.00000000 0.00000000 0.00000000
    ---
    > 1 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
    > 5 0.03850253 0.3615441 -0.05949685 0.09197088 -0.001731948 -0.03806677
    > 10 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
    3011c3011
    < 5 -0.2388201 0.05390549 -0.09194867
    ---
    > 5 -0.2394751 0.05397904 -0.09232615
    3017,3027c3017,3027
    < 1 -2.594355e-03 4.897328e-02 2.785572e-01 -0.096053990 1.881991e-02
    < 5 -7.922010e-03 2.757286e-02 1.843892e-01 -0.085039916 4.078372e-02
    < 10 -3.063105e-07 1.096583e-06 3.845368e-06 -0.001639813 -3.447242e-07
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 2.005203e-02 -2.748261e-02 -0.1353343978 0.010386751 -2.557261e-02
    < 5 3.578370e-03 -9.616694e-03 -0.0403612433 0.016692797 -1.483253e-02
    < 10 -4.505668e-05 -1.229566e-05 -0.0002361149 0.003063726 6.588541e-05
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0352939900 3.689271e-02 0.2032429780 -0.009892087 0.0393157729
    < 5 0.0004218847 2.131073e-02 0.1328603894 -0.029796998 0.0513922238
    < 10 0.0001831868 9.779504e-06 0.0003330669 -0.004900941 -0.0001887379
    ---
    > 1 -2.594354e-03 4.897328e-02 2.785572e-01 -0.096053990 1.881991e-02
    > 5 -7.922011e-03 2.757286e-02 1.843892e-01 -0.085039916 4.078372e-02
    > 10 -3.063105e-07 1.096582e-06 3.845368e-06 -0.001639813 -3.445022e-07
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 2.055163e-02 -2.840409e-02 -1.352966e-01 0.008921257 -0.0256614265
    > 5 4.211197e-03 -9.464038e-03 -3.967290e-02 0.016694185 -0.0147770187
    > 10 1.600564e-05 -9.997156e-06 7.474765e-05 0.003065808 0.0004100547
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -3.563816e-02 3.824718e-02 0.2032009977 -0.007882583 0.039018788
    > 5 6.328271e-04 2.109146e-02 0.1328825938 -0.029887204 0.051059157
    > 10 -1.665335e-05 1.049508e-05 0.0008881784 -0.004873185 -0.000432987
    3034c3034
    < 10 8.120171e-07 -2.908072e-06 -1.019851e-05 0.004348689 9.124923e-07
    ---
    > 10 8.121281e-07 -2.908073e-06 -1.019873e-05 0.004348689 9.126033e-07
    3036,3042c3036,3042
    < 1 -0.0283106871 3.503864e-02 0.1798176191 -0.009914292 0.031066816
    < 5 0.0028088643 -2.394196e-02 -0.2251310249 0.037092551 -0.057465144
    < 10 -0.0001498801 3.330669e-05 0.0009769963 -0.017295887 0.001088019
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 1.712104e-02 -2.182047e-02 -0.106376312 0.004502570 -0.024179279
    < 5 2.068467e-03 3.530293e-02 0.309359010 -0.049962218 0.095279390
    < 10 5.486345e-05 -2.263895e-05 0.001717878 0.009641104 0.002364047
    ---
    > 1 -2.897682e-02 3.426148e-02 0.1798498850 -0.01003642 0.0310251824
    > 5 3.885781e-03 -2.389200e-02 -0.2249089803 0.03728684 -0.0557220936
    > 10 4.718448e-05 3.209238e-05 -0.0001554312 -0.01734168 -0.0002442491
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 1.782048e-02 -2.105442e-02 -0.10637631 0.003880845 -0.024104339
    > 5 2.223898e-03 3.536954e-02 0.30994743 -0.050289734 0.093136659
    > 10 2.155687e-05 -2.034044e-05 0.00162906 0.009634165 0.001986571
    3048,3049c3048,3049
    < 5 0.017815978 -0.009672862 1.713657e-01 -0.2834611 0.0682036576
    < 10 -0.033477785 -0.001288154 -3.608425e-05 -0.1063726 -0.0009760988
    ---
    > 5 0.017815978 -0.009672862 1.713657e-01 -0.2834611 0.0682036568
    > 10 -0.033477785 -0.001288154 -3.608358e-05 -0.1063726 -0.0009760988
    3051,3057c3051,3057
    < 1 6.395995e-02 -0.008559820 0.0136692740 -0.1880607 0.0118405286
    < 5 -4.440892e-05 0.007333023 -0.0555666624 0.1856876 -0.0428546088
    < 10 1.670913e-01 0.004013673 0.0006217249 0.1293472 -0.0001332268
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0468292072 0.004740652 -0.0099486391 0.07522871 -0.009284240
    < 5 -0.0005884182 -0.008607004 0.0490940621 -0.26059849 0.048516746
    < 10 0.1247391079 -0.003883504 -0.0002664535 -0.12750079 0.000677236
    ---
    > 1 0.0640043574 -0.008382184 0.0136151507 -0.1880496 0.0119598775
    > 5 -0.0008548717 0.007191470 -0.0554001289 0.1857209 -0.0428101998
    > 10 0.1671329741 0.004014714 0.0004440892 0.1293451 -0.0001776357
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.046340709 0.005206946 -0.0099236591 0.07631673 -0.009148238
    > 5 -0.001021405 -0.008637535 0.0486277685 -0.26028207 0.048483439
    > 10 0.124786292 -0.003885520 0.0009547918 -0.12747858 0.000721645
    3062,3064c3062,3064
    < 1 -0.0704860507 8.356094e-03 -9.576907e-02 0.446815027 -0.019264665
    < 5 -0.0002497854 5.357864e-03 -1.470440e-02 0.188768730 -0.015629906
    < 10 -0.1731406073 1.444835e-05 5.217604e-06 0.006389641 -0.001192027
    ---
    > 1 -0.0704860504 8.356094e-03 -9.576907e-02 0.446815027 -0.019264665
    > 5 -0.0002497857 5.357864e-03 -1.470440e-02 0.188768730 -0.015629906
    > 10 -0.1731406073 1.444835e-05 5.217382e-06 0.006389641 -0.001192028
    3066,3068c3066,3068
    < 1 0.000000e+00 0.000000000 0.00000000 0.0000000 0.0000000 0.0000000000
    < 5 -5.551115e-05 0.007369105 -0.05528911 0.1855668 -0.0433209 -0.0006328271
    < 10 0.000000e+00 0.000000000 0.00000000 0.0000000 0.0000000 0.0000000000
    ---
    > 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    > 5 -0.0005551115 0.007263634 -0.05528911 0.1856876 -0.04209966 -0.001521006
    > 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
    3070,3072c3070,3072
    < 1 0.000000000 0.000000 0.0000 0.0000000
    < 5 -0.008670842 0.048761 -0.2605 0.0487832
    < 10 0.000000000 0.000000 0.0000 0.0000000
    ---
    > 1 0.000000000 0.00000000 0.0000000 0.00000000
    > 5 -0.008593126 0.04809486 -0.2602529 0.04946044
    > 10 0.000000000 0.00000000 0.0000000 0.00000000
    3077,3087c3077,3087
    < 1 0.003311586 0.0073483751 -1.136689e-01 0.42297682 -0.018014094
    < 5 -0.009902853 0.0053765747 -9.525208e-02 0.15755932 -0.037910398
    < 10 0.015828009 0.0006090281 1.706013e-05 0.05029204 0.000461492
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0042244375 -0.0085383671 0.0138287629 -0.12971308 0.0101733063
    < 5 -0.0001609681 0.0011556694 0.0158822465 0.08562207 0.0085951607
    < 10 -0.2185719233 -0.0005927783 0.0004187772 0.05165554 -0.0001271108
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0557109914 0.008681944 -0.0121402888 0.09363621 -0.0113353771
    < 5 -0.0008881784 0.004743428 -0.0279998247 0.14475504 -0.0285882429
    < 10 -0.0591027227 0.001837246 0.0007327472 0.06023723 -0.0006661338
    ---
    > 1 0.003311586 0.0073483750 -1.136689e-01 0.42297682 -0.0180140940
    > 5 -0.009902853 0.0053765748 -9.525208e-02 0.15755932 -0.0379103990
    > 10 0.015828009 0.0006090281 1.705991e-05 0.05029204 0.0004614916
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.004379869 -0.008116483 0.0138284160 -0.12890261 0.0101177950
    > 5 -0.001293396 0.001188976 0.0149052500 0.08560958 0.0088394096
    > 10 -0.218652414 -0.000596161 -0.0001363342 0.05164443 -0.0001160088
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.056399330 0.007904788 -0.0121579830 0.09340306 -1.136591e-02
    > 5 0.001154632 0.004671263 -0.0270894418 0.14459545 -2.736700e-02
    > 10 -0.058797411 0.001837246 0.0009992007 0.06023931 8.881784e-05
    3091,3102c3091,3102
    < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
    < 1 -0.002888851 -0.006410331 9.915867e-02 -0.3689824 0.015714535 -0.068611783
    < 5 -0.011135685 0.006045919 -1.071103e-01 0.1771743 -0.042629964 0.001032507
    < 10 -0.041974946 -0.001615107 -4.524248e-05 -0.1333715 -0.001223848 0.209474105
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3
    < 1 0.008670842 -0.0145203294 0.2009393 -0.012678747 -0.022820596 -0.002953946
    < 5 -0.004427014 0.0354938301 -0.1161238 0.026001423 -0.000349706 0.010698036
    < 10 0.005032693 -0.0007771561 0.1620919 -0.002031708 0.016712091 -0.003568480
    < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0077149035 0.02045569 0.0052577938
    < 5 -0.0451578157 0.35147608 -0.0451507359
    < 10 0.0003299595 -0.04704468 0.0002614673
    ---
    > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
    > 1 -0.002888851 -0.006410331 0.0991586674 -0.3689824 0.015714535
    > 5 -0.011135686 0.006045919 -0.1071102627 0.1771743 -0.042629964
    > 10 -0.041974947 -0.001615107 -0.0000452427 -0.1333715 -0.001223848
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    > 1 -6.725731e-02 0.010313972 -0.014536289 0.2018608 -0.012681522 -0.023686569
    > 5 1.110223e-05 -0.004496403 0.034849901 -0.1160974 0.026578739 -0.000394115
    > 10 2.096018e-01 0.005030503 -0.000288658 0.1620780 -0.001787459 0.016573313
    > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.004164089 0.0076781274 0.02007821 0.0054215516
    > 5 0.010531503 -0.0466233102 0.35146914 -0.0466051280
    > 10 -0.003566897 -0.0006026278 -0.04703635 0.0002947739
    3107,3117c3107,3117
    < 1 -0.0025039077 -9.035001e-03 1.449096e-02 -1.287877e-02 -0.10197888
    < 5 -0.0090320217 3.104443e-02 -9.301464e-02 6.369820e-02 0.01935906
    < 10 0.0003714918 5.685611e-06 -1.618705e-07 9.479002e-05 0.01178191
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0166533454 0.0237476705 -0.0243079862 0.0099587005 -0.195235494
    < 5 0.0006994405 -0.0431710223 0.0803690448 -0.0253921884 0.295152791
    < 10 0.0001915135 -0.0000391397 0.0009992007 -0.0003427814 0.008926193
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0201283434 -2.345901e-02 2.630847e-02 -0.0076605389 0.28498315
    < 5 0.0031863401 8.522627e-02 -5.229150e-02 0.0274294476 -0.43395287
    < 10 -0.0006994405 3.779529e-05 -4.440892e-05 0.0004933554 -0.01363354
    ---
    > 1 -0.0025039077 -9.035000e-03 1.449096e-02 -1.287877e-02 -0.10197888
    > 5 -0.0090320215 3.104443e-02 -9.301464e-02 6.369820e-02 0.01935906
    > 10 0.0003714917 5.685610e-06 -1.620926e-07 9.479001e-05 0.01178191
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0169309011 2.344791e-02 -0.0242725978 0.0100697228 -0.195388150
    > 5 -0.0002109424 -4.310441e-02 0.0803024314 -0.0252478594 0.294675395
    > 10 0.0003136380 -3.807718e-05 0.0005329071 -0.0003788636 0.008359979
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0203170814 -2.279288e-02 0.026214794 -0.007338574 0.28507197
    > 5 0.0032085445 8.519019e-02 -0.051947335 0.027225444 -0.43464121
    > 10 -0.0006161738 3.892286e-05 -0.001287859 0.000514172 -0.01312284
    3122c3122
    < 1 0.0070058628 -1.687957e-02 2.207828e-02 -0.0163091127 0.19275787
    ---
    > 1 0.0070058628 -1.687957e-02 2.207828e-02 -0.0163091128 0.19275787
    3124c3124
    < 10 0.0005010929 -1.346143e-07 2.908784e-08 -0.0000227013 0.01549796
    ---
    > 10 0.0005010927 -1.346143e-07 2.908784e-08 -0.0000227013 0.01549796
    3126,3128c3126,3128
    < 1 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.00000000
    < 5 0.0005329071 -0.04324319 0.0801581 -0.02537137 0.2948641 0.00328626
    < 10 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.00000000
    ---
    > 1 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.000000000
    > 5 0.0005995204 -0.04312939 0.0801248 -0.02531725 0.2951195 0.002431388
    > 10 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.000000000
    3131c3131
    < 5 0.08534007 -0.05201395 0.02741418 -0.4337752
    ---
    > 5 0.08528456 -0.05111467 0.02727957 -0.4349854
    3137,3147c3137,3147
    < 1 -0.0030649878 -1.105958e-02 1.773812e-02 -1.576467e-02 -0.124830494
    < 5 0.0050203693 -1.725577e-02 5.170136e-02 -3.540608e-02 -0.010760561
    < 10 -0.0001756384 -2.688108e-06 7.749357e-08 -4.481591e-05 -0.005570383
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0110293553 2.126547e-02 -0.022129194 8.948643e-03 0.055325485
    < 5 0.0010312478 -3.973838e-02 -0.007096200 -4.503541e-03 0.159564299
    < 10 -0.0002867326 1.100659e-05 -0.002375686 -1.271401e-05 -0.001735142
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0262234678 -2.668976e-02 0.032148589 -0.0070943251 0.349015261
    < 5 -0.0034305891 -4.747591e-02 0.026956215 -0.0151392787 0.240962805
    < 10 0.0004135581 -1.901691e-05 0.001820766 -0.0001658396 0.007338574
    ---
    > 1 -0.0030649880 -1.105958e-02 1.773812e-02 -1.576467e-02 -0.124830494
    > 5 0.0050203691 -1.725577e-02 5.170136e-02 -3.540608e-02 -0.010760562
    > 10 -0.0001756381 -2.688107e-06 7.727152e-08 -4.481589e-05 -0.005570383
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -1.127360e-02 0.0210212246 -0.022101438 9.159585e-03 0.055231116
    > 5 8.203053e-04 -0.0398910407 -0.007196120 -4.564603e-03 0.160130513
    > 10 -2.583012e-05 0.0000116788 -0.001087827 -8.550660e-06 -0.001812858
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0260014232 -2.674527e-02 0.032096201 -0.0071498363 0.348793217
    > 5 -0.0038746784 -4.733991e-02 0.027711167 -0.0152863833 0.240929499
    > 10 0.0001609823 -1.840975e-05 0.001820766 -0.0001741662 0.007649437
    3152,3162c3152,3162
    < 1 0.002673732 9.647788e-03 -1.547379e-02 0.0137522541 0.10889547
    < 5 0.005645368 -1.940399e-02 5.813780e-02 -0.0398138756 -0.01210017
    < 10 0.000465782 7.128703e-06 -2.025047e-07 0.0001188492 0.01477233
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 1.794120e-02 -2.621237e-02 0.0259122585 -0.0112021503 0.20839996
    < 5 -1.043610e-03 2.692846e-02 -0.0510480547 0.0158054125 -0.18499646
    < 10 1.110223e-05 -4.672911e-05 -0.0002220446 -0.0004947431 0.01055822
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.0116843868 1.898952e-02 -0.0204579613 0.0054625426 -0.009431049
    < 5 -0.0009671537 -1.172236e-01 0.0700976066 -0.0357757478 0.595582188
    < 10 -0.0003755505 4.058363e-05 0.0009549824 0.0005090908 -0.012149035
    ---
    > 1 0.0026737325 9.647788e-03 -1.547379e-02 0.0137522548 0.10889547
    > 5 0.0056453686 -1.940399e-02 5.813780e-02 -0.0398138755 -0.01210017
    > 10 0.0004657821 7.128703e-06 -2.022826e-07 0.0001188491 0.01477233
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 1.829648e-02 -2.491340e-02 0.0259122585 -0.0109134923 0.20852209
    > 5 -1.021405e-03 2.699785e-02 -0.0506261699 0.0158664748 -0.18479662
    > 10 6.383782e-05 -4.690259e-05 -0.0003552714 -0.0004801715 0.01105782
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0123394185 1.751292e-02 -0.0204572674 0.0047520000 -0.009472682
    > 5 0.0005205454 -1.170710e-01 0.0715075897 -0.0356786032 0.594738418
    > 10 -0.0006725351 4.101731e-05 -0.0001552404 0.0004861924 -0.012437692
    3168,3169c3168,3169
    < 5 -0.200118911 -0.048724575 3.905903e-02 4.726706e-02 -0.0099666414
    < 10 0.008506281 0.009480499 7.370393e-05 -4.108083e-05 -0.0001720251
    ---
    > 5 -0.200118911 -0.048724575 3.905902e-02 4.726706e-02 -0.0099666410
    > 10 0.008506281 0.009480499 7.370371e-05 -4.108084e-05 -0.0001720248
    3171,3173c3171,3173
    < 1 -0.15418777 -0.163535852 -4.302461e-03 -0.002964295 0.0327404770 0.09463541
    < 5 0.05331291 0.009278689 -3.378409e-02 -0.006739054 0.0053179683 0.04574119
    < 10 -0.02138567 -0.022954490 -4.440892e-05 0.001017936 0.0001998401 0.02136069
    ---
    > 1 -0.15465407 -0.164868119 -0.004296910 -0.003541611 0.0327238237 0.09490186
    > 5 0.05395684 0.009295342 -0.033395509 -0.006848688 0.0041078252 0.04458656
    > 10 -0.02137179 -0.022954490 0.000288658 0.001050549 0.0009103829 0.02127742
    3175,3177c3175,3177
    < 1 0.281130674 1.998887e-02 7.638334e-03 -5.737077e-02
    < 5 0.001260103 -1.106892e-02 -2.194078e-03 7.771561e-05
    < 10 0.030407231 -4.440892e-05 4.024558e-05 -1.443290e-04
    ---
    > 1 0.282052159 0.0199791572 8.082424e-03 -5.731249e-02
    > 5 0.001226796 -0.0116018306 -2.083056e-03 4.440892e-04
    > 10 0.030407296 0.0004218847 4.163336e-06 2.220446e-05
    3182c3182
    < 1 -2.721458e-02 3.437053e-02 1.080548e-02 -6.351000e-03 -7.693304e-04
    ---
    > 1 -2.721458e-02 3.437053e-02 1.080548e-02 -6.351000e-03 -7.693303e-04
    3184c3184
    < 10 -1.532774e-06 2.668837e-06 2.047029e-06 -7.298017e-05 -1.972644e-06
    ---
    > 10 -1.532774e-06 2.668837e-06 2.046807e-06 -7.298017e-05 -1.972755e-06
    3186,3192c3186,3192
    < 1 0.0356048524 -3.927969e-02 -0.0409856177 0.0006439294 -0.0107636122
    < 5 0.0187627691 -8.001932e-03 0.0166422431 -0.0022259972 0.0037525538
    < 10 0.0001665335 -2.578233e-05 0.0003552714 0.0001713907 0.0003996803
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -4.969358e-02 5.822010e-02 1.200672e-01 -0.0019095836 0.0230732100
    < 5 7.471801e-03 4.424239e-03 7.560619e-03 -0.0001137979 0.0017541524
    < 10 -7.771561e-05 2.634611e-05 4.440892e-05 -0.0004662937 -0.0003885781
    ---
    > 1 3.600453e-02 -3.775869e-02 -4.094156e-02 0.001287859 -1.059153e-02
    > 5 1.928457e-02 -8.062995e-03 1.680878e-02 -0.002467471 4.829470e-03
    > 10 3.885781e-05 -2.896988e-05 -2.220446e-05 0.000150574 8.881784e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -4.966028e-02 5.750955e-02 1.200623e-01 -0.0026201263 0.0228012054
    > 5 8.393286e-03 4.610201e-03 8.626433e-03 -0.0001151856 0.0001443290
    > 10 2.775558e-05 2.909999e-05 -2.220446e-05 -0.0004315992 -0.0002553513
    3197,3207c3197,3207
    < 1 0.18666014 -0.05398321 -0.0339310293 0.016983141 0.004752178 -0.1820765760
    < 5 0.01839569 -0.04659071 0.0034018423 -0.009291787 0.011298147 0.0002997602
    < 10 0.66937490 0.00645053 -0.0004796659 0.026582846 0.002513712 -0.9274414570
    < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
    < 1 -0.009259260 0.017602586 -1.645128e-01 0.0107774900 0.0452970994
    < 5 0.002214895 0.003308465 -2.914335e-05 0.0008437695 -0.0008548717
    < 10 -0.015175469 0.001354472 2.815595e-02 0.0013877788 -0.4505035234
    < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0131672451 -0.0186097665 2.240874e-01 -1.770528e-02
    < 5 0.0001304512 0.0008659740 -3.747003e-05 -5.551115e-05
    < 10 0.0201951953 -0.0005995204 9.168638e-02 -8.437695e-04
    ---
    > 1 0.18666014 -0.05398321 -0.0339310293 0.016983142 0.004752178 -0.181510362
    > 5 0.01839569 -0.04659071 0.0034018418 -0.009291787 0.011298146 -0.000432987
    > 10 0.66937490 0.00645053 -0.0004796656 0.026582846 0.002513712 -0.927530275
    > d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3
    > 1 -0.008093526 0.017625831 -1.633138e-01 0.0107802656 0.044542148 0.012712054
    > 5 0.002040035 0.002908784 -8.881784e-05 0.0007438494 0.001099121 0.000432987
    > 10 -0.015175209 0.001798561 2.816983e-02 0.0013877788 -0.450395277 0.020197212
    > d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0186520938 0.2230771123 -0.0175442993
    > 5 0.0025424107 0.0001332268 0.0004884981
    > 10 -0.0006439294 0.0916815235 -0.0005107026
    3212,3222c3212,3222
    < 1 0.111753476 1.527046e-03 -0.0005739352 1.456956e-03 -0.19812832
    < 5 0.141830219 -6.928993e-02 -0.0757715437 -3.266092e-02 -0.02436118
    < 10 0.004603912 -2.557237e-06 0.0003578295 3.572719e-05 -0.02125865
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.170985448 -7.105427e-04 -0.021460958 -0.0293209901 0.048427928
    < 5 -0.026056934 2.166878e-02 0.026589841 0.0031447067 0.007249756
    < 10 0.001670886 1.268517e-05 -0.002664535 -0.0002539635 -0.002564615
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.25377478 -1.089129e-02 0.0381403242 0.0242250664 0.505434583
    < 5 -0.02584599 9.692247e-03 0.0133226763 0.0016861512 0.003375078
    < 10 -0.00599798 -2.014448e-05 0.0009547918 0.0004163336 0.009248158
    ---
    > 1 0.111753476 1.527046e-03 -0.0005739351 1.456956e-03 -0.19812832
    > 5 0.141830219 -6.928993e-02 -0.0757715440 -3.266092e-02 -0.02436118
    > 10 0.004603912 -2.557238e-06 0.0003578298 3.572718e-05 -0.02125865
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.171185288 2.331468e-04 -0.021444999 -0.0282662782 0.048672177
    > 5 -0.025546232 2.173817e-02 0.026478819 0.0032543412 0.006794565
    > 10 0.001654232 1.157928e-05 -0.001487699 -0.0002185752 -0.001876277
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.254141153 -1.308953e-02 0.0381764065 0.0217714735 0.505179232
    > 5 -0.026567637 9.645063e-03 0.0130118138 0.0014863111 0.003785861
    > 10 -0.005959122 -2.331035e-05 0.0003108624 0.0003934353 0.008826273
    3227,3237c3227,3237
    < 1 1.181186e-02 -1.290132e-01 1.198739e-01 -0.0379627013 1.153541e-02
    < 5 6.374342e-02 -1.848781e-01 -3.998136e-01 0.1949841442 -2.578791e-02
    < 10 -1.055822e-07 -4.180325e-06 5.336176e-06 -0.0002805039 -9.325873e-09
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -6.350476e-03 6.102896e-02 -0.0665585642 -0.003297362 -0.011057821
    < 5 -2.136069e-02 1.098066e-01 0.4353295502 -0.076147422 0.029332092
    < 10 -5.273559e-05 4.505944e-05 -0.0004662937 0.001183081 -0.001010303
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0028865799 -6.306067e-02 0.0671764727 0.002153833 0.0123762112
    < 5 -0.0062394534 -1.035838e-01 -0.1510014336 0.056765703 -0.0188182803
    < 10 0.0001082467 -3.564857e-05 0.0008437695 -0.001271899 0.0005440093
    ---
    > 1 1.181186e-02 -1.290132e-01 1.198739e-01 -0.0379627015 1.153541e-02
    > 5 6.374342e-02 -1.848781e-01 -3.998136e-01 0.1949841443 -2.578791e-02
    > 10 -1.054712e-07 -4.180325e-06 5.335732e-06 -0.0002805039 -9.325873e-09
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -5.939693e-03 6.092904e-02 -6.657938e-02 -0.004185541 -1.109390e-02
    > 5 -1.919576e-02 1.100620e-01 4.370948e-01 -0.076259832 3.039791e-02
    > 10 -8.326673e-06 4.577502e-05 8.881784e-05 0.001260797 -1.110223e-05
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 2.520206e-03 -6.278311e-02 0.067146289 0.002819966 0.012226331
    > 5 -7.005507e-03 -1.036837e-01 -0.151467727 0.056722682 -0.018451907
    > 10 -4.163336e-05 -3.580036e-05 -0.000865974 -0.001348227 -0.000288658
    3242,3252c3242,3252
    < 1 -0.07200764 0.15336728 -0.0170856543 0.1021475976 -1.523444e-02
    < 5 0.02094031 0.27824374 0.2698132204 -0.3692319397 1.351237e-02
    < 10 0.01288559 -0.01624475 -0.0003849971 0.0008654111 5.082879e-05
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 0.0609068351 -0.006838974 0.0004714978 -0.006761258 1.007527e-03
    < 5 -0.0005107026 -0.103528297 -0.0924482713 0.186271831 5.551115e-05
    < 10 -0.0070776718 0.051013165 0.0003996803 -0.004010681 -1.421085e-03
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 -0.055067062 0.002642331 -0.0003191891 0.002708944 -9.714451e-05
    < 5 -0.000721645 0.164004921 0.0699995617 -0.187731775 -2.021716e-02
    < 10 0.039149239 -0.042962140 -0.0011768364 0.003379935 -6.106227e-04
    ---
    > 1 -0.07200764 0.15336728 -0.0170856543 0.1021475979 -1.523444e-02
    > 5 0.02094032 0.27824374 0.2698132210 -0.3692319396 1.351237e-02
    > 10 0.01288559 -0.01624475 -0.0003849974 0.0008654111 5.082867e-05
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 0.060718097 -0.00821565 0.0004871104 -0.008115730 0.001054712
    > 5 -0.001321165 -0.10344225 -0.0920818977 0.186402282 0.001432188
    > 10 -0.007135958 0.05101345 -0.0008881784 -0.004032885 -0.001509903
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 -0.0554334356 0.003519407 -0.0003358425 0.003552714 -0.0002664535
    > 5 -0.0004440892 0.163910552 0.0689004409 -0.187833082 -0.0207389661
    > 10 0.0391991994 -0.042962313 0.0022870594 0.003456263 0.0010769163
    3257,3267c3257,3267
    < 1 -0.0015259601 -8.967698e-03 0.0005990771 -1.411246e-03 0.0105397591
    < 5 -0.0860783146 2.303902e-01 0.0139491139 8.402178e-02 0.0951459878
    < 10 0.0001942743 -3.973384e-09 -0.0005442935 4.714854e-06 -0.0002402867
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0404121181 2.873257e-02 0.001444331 1.543210e-03 -0.0219962937
    < 5 0.0150768287 -8.475443e-02 0.009547918 -1.641465e-02 0.2211231198
    < 10 0.0001720846 -1.778092e-06 0.001154632 4.718448e-05 0.0003330669
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0491717778 -3.046452e-02 -0.001838460 -0.0010547119 0.0218852714
    < 5 0.0183519866 1.803141e-01 -0.017730262 0.0057565064 -0.2020383860
    < 10 -0.0001887379 1.019150e-06 -0.001665335 -0.0001158795 -0.0005551115
    ---
    > 1 -0.0015259608 -8.967699e-03 0.0005990771 -1.411246e-03 0.0105397590
    > 5 -0.0860783139 2.303902e-01 0.0139491144 8.402178e-02 0.0951459878
    > 10 0.0001942745 -3.972950e-09 -0.0005442937 4.714840e-06 -0.0002402869
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0400235400 2.905454e-02 0.0014377388 2.298162e-03 -0.0222266650
    > 5 0.0146438417 -8.480994e-02 0.0102584607 -1.647987e-02 0.2202349414
    > 10 0.0001720846 2.168404e-07 0.0009992007 3.191891e-05 0.0004996004
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0487831997 -3.096412e-02 -0.0018301333 -2.131628e-03 0.022110092
    > 5 0.0162980740 1.800227e-01 -0.0207833750 5.773160e-03 -0.201794137
    > 10 -0.0003053113 -1.734723e-07 -0.0001554312 -7.285839e-05 0.000144329
    3273c3273
    < 5 5.630895e-03 1.895038e-02 1.195886e-01 -9.118602e-02 1.710484e-01
    ---
    > 5 5.630896e-03 1.895038e-02 1.195886e-01 -9.118602e-02 1.710484e-01
    3276,3282c3276,3282
    < 1 -2.131628e-03 -0.0142219569 -4.544976e-05 -8.215650e-04 0.0001887379
    < 5 3.796963e-03 0.0013045121 3.907985e-03 3.747003e-04 -0.0045852211
    < 10 2.775558e-05 0.0001508559 -2.442491e-04 -2.498002e-05 -0.0020317081
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 0.0027089442 0.0151212376 5.169476e-05 1.176836e-03 2.053913e-04
    < 5 -0.0010658141 -0.0005467848 -1.698641e-03 -3.316791e-04 4.340972e-03
    < 10 0.0000721645 -0.0001227100 -5.995204e-04 -1.873501e-05 -2.220446e-05
    ---
    > 1 -0.0025313085 -0.0135891298 -6.036838e-05 -1.054712e-03 -5.273559e-05
    > 5 0.0035416114 0.0014016566 3.630429e-03 2.997602e-04 -4.318768e-03
    > 10 0.0001054712 0.0001524605 -1.332268e-04 -8.326673e-06 -1.076916e-03
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0033195668 0.0133892897 3.400058e-05 6.661338e-05 0.0002053913
    > 5 -0.0017874591 -0.0006716849 -2.142730e-03 -2.386980e-04 0.0030420111
    > 10 0.0001360023 -0.0001247700 -1.265654e-03 -7.424616e-05 -0.0002775558
    3287c3287
    < 1 -4.987646e-03 -3.289512e-03 -1.386093e-02 4.270861e-03 -1.749033e-02
    ---
    > 1 -4.987646e-03 -3.289511e-03 -1.386093e-02 4.270861e-03 -1.749033e-02
    3289c3289
    < 10 2.193801e-07 -3.040970e-09 3.419265e-06 2.991093e-06 3.415268e-06
    ---
    > 10 2.193801e-07 -3.040537e-09 3.419265e-06 2.991080e-06 3.415268e-06
    3291,3297c3291,3297
    < 1 -1.088019e-03 1.588729e-02 0.040016948 5.406786e-03 0.0301786374
    < 5 1.189049e-02 -7.269185e-02 -0.486644058 9.225676e-02 0.2432165580
    < 10 -8.049117e-05 8.673617e-07 -0.001021405 -3.469447e-05 -0.0006328271
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 8.881784e-04 -1.725287e-02 -0.0454570409 -0.0061173289 -0.0335370620
    < 5 1.820766e-03 6.766809e-02 0.1885935852 -0.0748387463 -0.2235545082
    < 10 6.383782e-05 -2.385245e-07 0.0003996803 -0.0000194289 0.0003663736
    ---
    > 1 -0.0002220446 1.687539e-02 0.040010009 5.928591e-03 0.0300010017
    > 5 0.0117239551 -7.261414e-02 -0.486144458 9.233170e-02 0.2437272606
    > 10 -0.0001831868 -2.059984e-06 -0.001176836 -6.800116e-05 -0.0008992806
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.001154632 -1.687539e-02 -0.045395632 -5.417888e-03 -0.033401060
    > 5 0.003153033 6.788181e-02 0.189426252 -7.500528e-02 -0.223832064
    > 10 0.000194289 1.582935e-06 0.001354472 4.996004e-05 0.001387779
    3302,3312c3302,3312
    < 1 -0.001392740 -7.163088e-03 0.0163621658 -0.0420913445 0.08778203
    < 5 -0.030185587 -7.148279e-02 -0.3023276981 0.5864299888 0.24697414
    < 10 -0.000956766 1.318907e-05 -0.0002274347 -0.0003593979 0.04868274
    < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    < 1 -0.0575761661 -2.420286e-03 -0.005013698 0.086730623 -0.06709910
    < 5 0.0038191672 2.519929e-02 0.080846441 -0.134682543 -0.16051604
    < 10 -0.0005662137 -8.317999e-05 0.001132427 0.001589701 0.01720846
    < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    < 1 6.329381e-02 3.941292e-03 0.004285461 -0.064859229 0.04440892
    < 5 8.881784e-05 -4.184708e-02 -0.060407235 0.144945167 0.22717384
    < 10 1.390554e-03 8.489303e-05 -0.002842171 -0.002143424 -0.02888800
    ---
    > 1 -0.0013927409 -7.163088e-03 0.0163621658 -0.0420913450 0.08778203
    > 5 -0.0301855868 -7.148279e-02 -0.3023276978 0.5864299890 0.24697414
    > 10 -0.0009567664 1.318907e-05 -0.0002274356 -0.0003593979 0.04868274
    > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
    > 1 -0.0574096326 -2.897682e-03 -0.005009881 0.086342045 -0.06700196
    > 5 0.0032196468 2.498002e-02 0.079902751 -0.134707523 -0.16082691
    > 10 -0.0003719247 -8.046949e-05 0.001176836 0.001607742 0.01766365
    > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
    > 1 0.0637490061 5.351275e-03 0.004302808 -0.063504757 0.04441447
    > 5 0.0003552714 -4.183875e-02 -0.060129679 0.144950718 0.22896129
    > 10 0.0015126789 8.463282e-05 -0.001754152 -0.002171874 -0.02933209
    3316,3317c3316,3317
    < d_y1_d_x1 -0.231649069 0.201546991 -0.283557408 0.247360367 0.005905711
    < d_y2_d_x1 -0.033140141 -0.061128275 -0.040566243 0.035387827 0.151126660
    ---
    > d_y1_d_x1 -0.231649068 0.201546991 -0.283557408 0.247360367 0.005905710
    > d_y2_d_x1 -0.033140140 -0.061128275 -0.040566243 0.035387828 0.151126660
    3319,3330c3319,3330
    < d_y4_d_x1 -0.062144315 -0.100909653 -0.076069725 0.066359173 0.013383880
    < d_y5_d_x1 0.001838303 0.005409738 0.002250234 -0.001962984 -0.008059541
    < d_y1_d_x2 -0.016608936 0.000000000 0.412923387 0.018030022 0.074795725
    < d_y2_d_x2 0.055733196 0.000000000 0.041078840 -0.058730798 -0.152999835
    < d_y3_d_x2 0.027142524 0.000000000 0.019148543 -0.029012209 -0.026125282
    < d_y4_d_x2 0.063027361 0.000000000 0.038306344 -0.066635586 -0.010069723
    < d_y5_d_x2 -0.008348877 0.000000000 -0.006731435 0.009020562 0.029634628
    < d_y1_d_x3 0.062927441 0.000000000 0.075706108 0.367126687 -0.085975671
    < d_y2_d_x3 -0.057398530 0.000000000 -0.072430950 0.035194657 0.125266464
    < d_y3_d_x3 -0.043440598 0.000000000 -0.053142560 0.032202684 0.027896088
    < d_y4_d_x3 -0.037547743 0.000000000 -0.048250293 0.003278807 0.005051515
    < d_y5_d_x3 0.007585599 0.000000000 0.009892087 -0.004832954 -0.029595770
    ---
    > d_y4_d_x1 -0.062144315 -0.100909653 -0.076069725 0.066359172 0.013383879
    > d_y5_d_x1 0.001838303 0.005409738 0.002250233 -0.001962984 -0.008059541
    > d_y1_d_x2 -0.016697754 0.000000000 0.413145431 0.018074431 0.074540374
    > d_y2_d_x2 0.055933036 0.000000000 0.042066938 -0.058630878 -0.153199675
    > d_y3_d_x2 0.027188668 0.000000000 0.019133625 -0.029030597 -0.026152344
    > d_y4_d_x2 0.063182792 0.000000000 0.038672718 -0.066402439 -0.009847678
    > d_y5_d_x2 -0.008484879 0.000000000 -0.006809151 0.009023338 0.029518055
    > d_y1_d_x3 0.062383432 0.000000000 0.076294526 0.366471655 -0.084987573
    > d_y2_d_x3 -0.058664185 0.000000000 -0.071975759 0.033984514 0.126132438
    > d_y3_d_x3 -0.043379883 0.000000000 -0.053105090 0.032213440 0.027959232
    > d_y4_d_x3 -0.037481129 0.000000000 -0.047284399 0.001935438 0.005506706
    > d_y5_d_x3 0.007821521 0.000000000 0.009781065 -0.004852382 -0.029412583
    3335c3335
    < d_y4_d_x1 0.01641607 0.016382963 -0.014291623 -0.078470237 -0.08143947
    ---
    > d_y4_d_x1 0.01641607 0.016382964 -0.014291624 -0.078470237 -0.08143947
    3337,3346c3337,3346
    < d_y1_d_x2 0.00000000 0.030997769 -0.078692608 0.027178260 0.00000000
    < d_y2_d_x2 0.00000000 -0.115554796 0.164723790 -0.032684966 0.00000000
    < d_y3_d_x2 0.00000000 -0.023231500 0.027967212 -0.168443384 0.00000000
    < d_y4_d_x2 0.00000000 -0.010679060 0.012057022 0.010602630 0.00000000
    < d_y5_d_x2 0.00000000 0.025247757 -0.031730174 -0.029057312 0.00000000
    < d_y1_d_x3 0.00000000 -0.103617115 0.030176204 -0.029054537 0.00000000
    < d_y2_d_x3 0.00000000 0.154776192 -0.062974634 0.029964919 0.00000000
    < d_y3_d_x3 0.00000000 0.034301381 -0.021044707 0.166050854 0.00000000
    < d_y4_d_x3 0.00000000 0.007283063 -0.004839287 -0.007827072 0.00000000
    < d_y5_d_x3 0.00000000 -0.036329273 0.020837396 0.032213121 0.00000000
    ---
    > d_y1_d_x2 0.00000000 0.031253120 -0.078226314 0.027111646 0.00000000
    > d_y2_d_x2 0.00000000 -0.115255036 0.165012448 -0.032684966 0.00000000
    > d_y3_d_x2 0.00000000 -0.023259602 0.027975192 -0.168416669 0.00000000
    > d_y4_d_x2 0.00000000 -0.009724268 0.012778667 0.010513812 0.00000000
    > d_y5_d_x2 0.00000000 0.025178368 -0.032029934 -0.029029557 0.00000000
    > d_y1_d_x3 0.00000000 -0.104294351 0.030020773 -0.028121949 0.00000000
    > d_y2_d_x3 0.00000000 0.153832502 -0.062930225 0.031552538 0.00000000
    > d_y3_d_x3 0.00000000 0.034301034 -0.021011748 0.166038364 0.00000000
    > d_y4_d_x3 0.00000000 0.006716849 -0.004872594 -0.007083223 0.00000000
    > d_y5_d_x3 0.00000000 -0.036082248 0.020820743 0.032052139 0.00000000
    3348,3349c3348,3349
    < d_y1_d_x1 -0.002594355 0.002263176 0.002705363 -0.070486051 0.003311586
    < d_y2_d_x1 0.048973277 -0.042721677 0.006003173 0.008356094 0.007348375
    ---
    > d_y1_d_x1 -0.002594354 0.002263176 0.002705363 -0.070486050 0.003311586
    > d_y2_d_x1 0.048973277 -0.042721676 0.006003173 0.008356094 0.007348375
    3353,3362c3353,3362
    < d_y1_d_x2 0.020052029 -0.028310687 0.063959948 0.000000000 0.004224438
    < d_y2_d_x2 -0.027482607 0.035038639 -0.008559820 0.000000000 -0.008538367
    < d_y3_d_x2 -0.135334398 0.179817619 0.013669274 0.000000000 0.013828763
    < d_y4_d_x2 0.010386751 -0.009914292 -0.188060678 0.000000000 -0.129713077
    < d_y5_d_x2 -0.025572609 0.031066816 0.011840529 0.000000000 0.010173306
    < d_y1_d_x3 -0.035293990 0.017121040 -0.046829207 0.000000000 -0.055710991
    < d_y2_d_x3 0.036892711 -0.021820469 0.004740652 0.000000000 0.008681944
    < d_y3_d_x3 0.203242978 -0.106376312 -0.009948639 0.000000000 -0.012140289
    < d_y4_d_x3 -0.009892087 0.004502570 0.075228712 0.000000000 0.093636210
    < d_y5_d_x3 0.039315773 -0.024179279 -0.009284240 0.000000000 -0.011335377
    ---
    > d_y1_d_x2 0.020551630 -0.028976821 0.064004357 0.000000000 0.004379869
    > d_y2_d_x2 -0.028404092 0.034261483 -0.008382184 0.000000000 -0.008116483
    > d_y3_d_x2 -0.135296581 0.179849885 0.013615151 0.000000000 0.013828416
    > d_y4_d_x2 0.008921257 -0.010036416 -0.188049576 0.000000000 -0.128902615
    > d_y5_d_x2 -0.025661427 0.031025182 0.011959878 0.000000000 0.010117795
    > d_y1_d_x3 -0.035638159 0.017820481 -0.046340709 0.000000000 -0.056399330
    > d_y2_d_x3 0.038247183 -0.021054415 0.005206946 0.000000000 0.007904788
    > d_y3_d_x3 0.203200998 -0.106376312 -0.009923659 0.000000000 -0.012157983
    > d_y4_d_x3 -0.007882583 0.003880845 0.076316731 0.000000000 0.093403063
    > d_y5_d_x3 0.039018788 -0.024104339 -0.009148238 0.000000000 -0.011365908
    3365c3365
    < d_y2_d_x1 -0.006410331 -0.009035001 -0.016879575 -0.011059580 0.009647788
    ---
    > d_y2_d_x1 -0.006410331 -0.009035000 -0.016879575 -0.011059580 0.009647788
    3367,3378c3367,3378
    < d_y4_d_x1 -0.368982428 -0.012878769 -0.016309113 -0.015764666 0.013752254
    < d_y5_d_x1 0.015714535 -0.101978883 0.192757871 -0.124830494 0.108895468
    < d_y1_d_x2 -0.068611783 -0.016653345 0.000000000 -0.011029355 0.017941204
    < d_y2_d_x2 0.008670842 0.023747670 0.000000000 0.021265474 -0.026212366
    < d_y3_d_x2 -0.014520329 -0.024307986 0.000000000 -0.022129194 0.025912258
    < d_y4_d_x2 0.200939265 0.009958701 0.000000000 0.008948643 -0.011202150
    < d_y5_d_x2 -0.012678747 -0.195235494 0.000000000 0.055325485 0.208399964
    < d_y1_d_x3 -0.022820596 0.020128343 0.000000000 0.026223468 -0.011684387
    < d_y2_d_x3 -0.002953946 -0.023459013 0.000000000 -0.026689762 0.018989516
    < d_y3_d_x3 0.007714903 0.026308469 0.000000000 0.032148589 -0.020457961
    < d_y4_d_x3 0.020455689 -0.007660539 0.000000000 -0.007094325 0.005462543
    < d_y5_d_x3 0.005257794 0.284983148 0.000000000 0.349015261 -0.009431049
    ---
    > d_y4_d_x1 -0.368982428 -0.012878769 -0.016309113 -0.015764666 0.013752255
    > d_y5_d_x1 0.015714535 -0.101978882 0.192757871 -0.124830494 0.108895468
    > d_y1_d_x2 -0.067257311 -0.016930901 0.000000000 -0.011273604 0.018296475
    > d_y2_d_x2 0.010313972 0.023447910 0.000000000 0.021021225 -0.024913405
    > d_y3_d_x2 -0.014536289 -0.024272598 0.000000000 -0.022101438 0.025912258
    > d_y4_d_x2 0.201860750 0.010069723 0.000000000 0.009159585 -0.010913492
    > d_y5_d_x2 -0.012681522 -0.195388150 0.000000000 0.055231116 0.208522088
    > d_y1_d_x3 -0.023686569 0.020317081 0.000000000 0.026001423 -0.012339418
    > d_y2_d_x3 -0.004164089 -0.022792879 0.000000000 -0.026745273 0.017512920
    > d_y3_d_x3 0.007678127 0.026214794 0.000000000 0.032096201 -0.020457267
    > d_y4_d_x3 0.020078213 -0.007338574 0.000000000 -0.007149836 0.004752000
    > d_y5_d_x3 0.005421552 0.285071966 0.000000000 0.348793217 -0.009472682
    3380,3394c3380,3394
    < d_y1_d_x1 0.072752928 -0.0272145781 0.186660139 0.1117534757 0.011811864
    < d_y2_d_x1 0.012780185 0.0343705292 -0.053983213 0.0015270459 -0.129013157
    < d_y3_d_x1 -0.006363313 0.0108054844 -0.033931029 -0.0005739352 0.119873943
    < d_y4_d_x1 -0.023256312 -0.0063509997 0.016983141 0.0014569558 -0.037962701
    < d_y5_d_x1 0.008657582 -0.0007693304 0.004752178 -0.1981283229 0.011535410
    < d_y1_d_x2 -0.154187774 0.0356048524 -0.182076576 0.1709854480 -0.006350476
    < d_y2_d_x2 -0.163535852 -0.0392796906 -0.009259260 -0.0007105427 0.061028960
    < d_y3_d_x2 -0.004302461 -0.0409856177 0.017602586 -0.0214609580 -0.066558564
    < d_y4_d_x2 -0.002964295 0.0006439294 -0.164512848 -0.0293209901 -0.003297362
    < d_y5_d_x2 0.032740477 -0.0107636122 0.010777490 0.0484279283 -0.011057821
    < d_y1_d_x3 0.094635411 -0.0496935826 0.045297099 -0.2537747790 0.002886580
    < d_y2_d_x3 0.281130674 0.0582200954 0.013167245 -0.0108912879 -0.063060668
    < d_y3_d_x3 0.019988872 0.1200671507 -0.018609767 0.0381403242 0.067176473
    < d_y4_d_x3 0.007638334 -0.0019095836 0.224087415 0.0242250664 0.002153833
    < d_y5_d_x3 -0.057370775 0.0230732100 -0.017705282 0.5054345831 0.012376211
    ---
    > d_y1_d_x1 0.072752928 -0.0272145783 0.186660139 0.1117534759 0.011811864
    > d_y2_d_x1 0.012780185 0.0343705286 -0.053983212 0.0015270459 -0.129013157
    > d_y3_d_x1 -0.006363313 0.0108054843 -0.033931029 -0.0005739351 0.119873943
    > d_y4_d_x1 -0.023256311 -0.0063509998 0.016983142 0.0014569559 -0.037962702
    > d_y5_d_x1 0.008657582 -0.0007693303 0.004752178 -0.1981283229 0.011535410
    > d_y1_d_x2 -0.154654067 0.0360045327 -0.181510362 0.1711852882 -0.005939693
    > d_y2_d_x2 -0.164868119 -0.0377586851 -0.008093526 0.0002331468 0.060929040
    > d_y3_d_x2 -0.004296910 -0.0409415557 0.017625831 -0.0214449986 -0.066579381
    > d_y4_d_x2 -0.003541611 0.0012878587 -0.163313807 -0.0282662782 -0.004185541
    > d_y5_d_x2 0.032723824 -0.0105915277 0.010780266 0.0486721774 -0.011093904
    > d_y1_d_x3 0.094901864 -0.0496602759 0.044542148 -0.2541411526 0.002520206
    > d_y2_d_x3 0.282052159 0.0575095527 0.012712054 -0.0130895295 -0.062783112
    > d_y3_d_x3 0.019979157 0.1200622934 -0.018652094 0.0381764065 0.067146289
    > d_y4_d_x3 0.008082424 -0.0026201263 0.223077112 0.0217714735 0.002819966
    > d_y5_d_x3 -0.057312488 0.0228012054 -0.017544299 0.5051792318 0.012226331
    3396,3410c3396,3410
    < d_y1_d_x1 -7.200764e-02 -0.0015259601 3.554540e-03 -0.0049876464 -0.001392740
    < d_y2_d_x1 1.533673e-01 -0.0089676985 1.880437e-02 -0.0032895116 -0.007163088
    < d_y3_d_x1 -1.708565e-02 0.0005990771 3.880844e-02 -0.0138609341 0.016362166
    < d_y4_d_x1 1.021476e-01 -0.0014112459 -2.344463e-02 0.0042708610 -0.042091345
    < d_y5_d_x1 -1.523444e-02 0.0105397591 3.942352e-03 -0.0174903269 0.087782032
    < d_y1_d_x2 6.090684e-02 -0.0404121181 -2.131628e-03 -0.0010880186 -0.057576166
    < d_y2_d_x2 -6.838974e-03 0.0287325719 -1.422196e-02 0.0158872915 -0.002420286
    < d_y3_d_x2 4.714978e-04 0.0014443308 -4.544976e-05 0.0400169481 -0.005013698
    < d_y4_d_x2 -6.761258e-03 0.0015432100 -8.215650e-04 0.0054067861 0.086730623
    < d_y5_d_x2 1.007527e-03 -0.0219962937 1.887379e-04 0.0301786374 -0.067099104
    < d_y1_d_x3 -5.506706e-02 0.0491717778 2.708944e-03 0.0008881784 0.063293815
    < d_y2_d_x3 2.642331e-03 -0.0304645198 1.512124e-02 -0.0172528658 0.003941292
    < d_y3_d_x3 -3.191891e-04 -0.0018384599 5.169476e-05 -0.0454570409 0.004285461
    < d_y4_d_x3 2.708944e-03 -0.0010547119 1.176836e-03 -0.0061173289 -0.064859229
    < d_y5_d_x3 -9.714451e-05 0.0218852714 2.053913e-04 -0.0335370620 0.044408921
    ---
    > d_y1_d_x1 -0.0720076370 -0.0015259608 3.554540e-03 -0.0049876460 -0.001392741
    > d_y2_d_x1 0.1533672810 -0.0089676991 1.880437e-02 -0.0032895114 -0.007163088
    > d_y3_d_x1 -0.0170856543 0.0005990771 3.880844e-02 -0.0138609342 0.016362166
    > d_y4_d_x1 0.1021475979 -0.0014112460 -2.344463e-02 0.0042708608 -0.042091345
    > d_y5_d_x1 -0.0152344370 0.0105397590 3.942352e-03 -0.0174903269 0.087782032
    > d_y1_d_x2 0.0607180972 -0.0400235400 -2.531308e-03 -0.0002220446 -0.057409633
    > d_y2_d_x2 -0.0082156504 0.0290545366 -1.358913e-02 0.0168753900 -0.002897682
    > d_y3_d_x2 0.0004871104 0.0014377388 -6.036838e-05 0.0400100092 -0.005009881
    > d_y4_d_x2 -0.0081157303 0.0022981617 -1.054712e-03 0.0059285910 0.086342045
    > d_y5_d_x2 0.0010547119 -0.0222266650 -5.273559e-05 0.0300010017 -0.067001960
    > d_y1_d_x3 -0.0554334356 0.0487831997 3.319567e-03 0.0011546319 0.063749006
    > d_y2_d_x3 0.0035194070 -0.0309641202 1.338929e-02 -0.0168753900 0.005351275
    > d_y3_d_x3 -0.0003358425 -0.0018301333 3.400058e-05 -0.0453956317 0.004302808
    > d_y4_d_x3 0.0035527137 -0.0021316282 6.661338e-05 -0.0054178884 -0.063504757
    > d_y5_d_x3 -0.0002664535 0.0221100915 2.053913e-04 -0.0334010597 0.044414472
    3418,3419c3418,3419
    < 1: d_y1_d_x2 -4.947e-01 5.399e-01 -0.916 0.359
    < 1: d_y2_d_x2 6.475e-02 3.325e-01 0.195 0.846
    ---
    > 1: d_y1_d_x2 -4.947e-01 5.398e-01 -0.916 0.359
    > 1: d_y2_d_x2 6.475e-02 3.332e-01 0.194 0.846
    3421,3427c3421,3427
    < 1: d_y4_d_x2 9.748e-02 3.728e-01 0.261 0.794
    < 1: d_y5_d_x2 -2.317e-01 3.160e-01 -0.733 0.463
    < 1: d_y1_d_x3 -4.766e-01 5.102e-01 -0.934 0.350
    < 1: d_y2_d_x3 -5.028e-02 3.821e-01 -0.132 0.895
    < 1: d_y3_d_x3 7.662e-02 3.377e-01 0.227 0.820
    < 1: d_y4_d_x3 -3.653e-02 2.723e-01 -0.134 0.893
    < 1: d_y5_d_x3 3.440e-01 6.875e-01 0.500 0.617
    ---
    > 1: d_y4_d_x2 9.748e-02 3.723e-01 0.262 0.793
    > 1: d_y5_d_x2 -2.317e-01 3.162e-01 -0.733 0.464
    > 1: d_y1_d_x3 -4.766e-01 5.100e-01 -0.935 0.350
    > 1: d_y2_d_x3 -5.028e-02 3.827e-01 -0.131 0.895
    > 1: d_y3_d_x3 7.662e-02 3.376e-01 0.227 0.820
    > 1: d_y4_d_x3 -3.653e-02 2.708e-01 -0.135 0.893
    > 1: d_y5_d_x3 3.440e-01 6.872e-01 0.501 0.617
    3433c3433
    < 2: d_y1_d_x2 -4.817e-03 7.488e-02 -0.064 0.949
    ---
    > 2: d_y1_d_x2 -4.817e-03 7.495e-02 -0.064 0.949
    3435,3442c3435,3442
    < 2: d_y3_d_x2 -2.179e-01 8.907e-01 -0.245 0.807
    < 2: d_y4_d_x2 1.357e-01 4.094e-01 0.331 0.740
    < 2: d_y5_d_x2 -3.396e-01 6.375e-01 -0.533 0.594
    < 2: d_y1_d_x3 -2.496e-03 6.042e-02 -0.041 0.967
    < 2: d_y2_d_x3 -3.212e-01 8.307e-01 -0.387 0.699
    < 2: d_y3_d_x3 1.453e-01 5.666e-01 0.256 0.798
    < 2: d_y4_d_x3 -1.971e-01 5.982e-01 -0.330 0.742
    < 2: d_y5_d_x3 5.112e-01 1.007e+00 0.508 0.612
    ---
    > 2: d_y3_d_x2 -2.179e-01 8.920e-01 -0.244 0.807
    > 2: d_y4_d_x2 1.357e-01 4.096e-01 0.331 0.740
    > 2: d_y5_d_x2 -3.396e-01 6.374e-01 -0.533 0.594
    > 2: d_y1_d_x3 -2.496e-03 5.995e-02 -0.042 0.967
    > 2: d_y2_d_x3 -3.212e-01 8.305e-01 -0.387 0.699
    > 2: d_y3_d_x3 1.453e-01 5.681e-01 0.256 0.798
    > 2: d_y4_d_x3 -1.971e-01 5.979e-01 -0.330 0.742
    > 2: d_y5_d_x3 5.112e-01 1.008e+00 0.507 0.612
    3450c3450
    < 3: d_y3_d_x2 1.769e-04 5.228e-03 0.034 0.973
    ---
    > 3: d_y3_d_x2 1.769e-04 4.106e-03 0.043 0.966
    3452,3453c3452,3453
    < 3: d_y5_d_x2 -2.741e-03 2.276e-02 -0.120 0.904
    < 3: d_y1_d_x3 -3.397e-01 5.887e-01 -0.577 0.564
    ---
    > 3: d_y5_d_x2 -2.741e-03 2.286e-02 -0.120 0.905
    > 3: d_y1_d_x3 -3.397e-01 5.885e-01 -0.577 0.564
    3455c3455
    < 3: d_y3_d_x3 -2.166e-04 5.295e-03 -0.041 0.967
    ---
    > 3: d_y3_d_x3 -2.166e-04 5.456e-03 -0.040 0.968
    3457c3457
    < 3: d_y5_d_x3 4.095e-03 3.636e-02 0.113 0.910
    ---
    > 3: d_y5_d_x3 4.095e-03 3.657e-02 0.112 0.911
    Running 'pmvnormWrapTest.R'
    Comparing 'pmvnormWrapTest.Rout' to 'pmvnormWrapTest.Rout.save' ...116c116
    < [1] "Mean relative difference: 9.988719e-10"
    ---
    > [1] "Mean relative difference: 9.988721e-10"
  • checking PDF version of manual ... OK