• using R version 2.14.2 (2012-02-29)
  • using platform: i386-pc-mingw32 (32-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
  • 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 ... OK
  • checking for unstated dependencies in tests ... OK
  • checking tests ... 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
    ---
    > 1 -0.06051131 0 0 0.41462304 0 0
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    < 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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    ---
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    ---
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    < 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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    < 5 0 0 -0.09049632 0 0 0.2811872
    ---
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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
    < [1,] 1.160197e-07 -2.224887e-07 0.000000e+00 -2.721254e-07 2.376746e-07
    < [2,] 7.617647e-08 -4.569678e-07 0.000000e+00 -1.645990e-07 9.973893e-08
    ---
    > [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
    492,498c492,498
    < [4,] 2.890529e-07 -3.610445e-07 -3.614886e-07 -4.058109e-08 2.629504e-07
    < [5,] 9.883473e-08 -4.587442e-07 -4.591882e-07 2.548923e-07 2.864536e-07
    < [6,] 3.174022e-07 -2.348122e-08 -2.348122e-08 -4.119142e-08 3.945594e-08
    < [7,] -7.450800e-08 -1.791900e-07 -1.791900e-07 -8.898392e-08 -1.504289e-07
    < [8,] -2.191833e-08 -1.315614e-08 0.000000e+00 2.631032e-08 -2.084992e-09
    < [9,] 2.284489e-07 -2.864375e-07 0.000000e+00 -2.010506e-07 3.259187e-07
    < [10,] -6.116706e-07 -5.329071e-09 0.000000e+00 2.456101e-09 -6.560772e-09
    ---
    > [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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    < [2,] 9.103829e-08 5.329071e-08 1.332268e-07 -1.487699e-07 1.008083e-07
    < [3,] -2.047251e-07 -1.332268e-08 1.616485e-07 6.350476e-08 -1.012523e-06
    < [4,] -2.211564e-07 -3.552714e-08 1.731948e-08 -8.881784e-10 -6.066259e-07
    < [5,] -7.505108e-08 2.220446e-09 1.332268e-09 -1.643130e-08 -2.353673e-07
    < [6,] 1.687539e-08 3.608225e-09 6.877832e-08 6.827872e-09 7.605028e-09
    < [7,] 3.064216e-08 3.741452e-08 3.891332e-08 3.658185e-08 2.831069e-08
    < [8,] 7.160939e-09 4.524159e-09 1.790235e-08 3.164136e-09 3.413936e-09
    < [9,] 6.528111e-08 6.283862e-08 7.283063e-08 2.708944e-08 6.639134e-08
    < [10,] -7.993606e-09 0.000000e+00 -8.246737e-07 2.664535e-09 0.000000e+00
    ---
    > [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
    511c511
    < [1,] 7.993606e-09 1.998401e-08 -1.620926e-08 1.842970e-08 2.797762e-08
    ---
    > [1,] 7.993606e-09 1.976197e-08 -1.643130e-08 1.820766e-08 2.775558e-08
    513,520c513,520
    < [3,] -3.330669e-07 -3.108624e-07 3.819167e-08 1.003642e-07 1.123546e-07
    < [4,] -3.987921e-07 -4.409806e-07 3.459455e-07 -8.615331e-08 -5.906386e-08
    < [5,] -3.899103e-07 -2.565059e-06 3.996803e-09 -3.241851e-07 -2.668976e-07
    < [6,] 1.187939e-08 2.775558e-10 7.771561e-10 -7.771561e-10 6.550316e-09
    < [7,] 8.160139e-09 7.882583e-09 -3.608225e-09 3.674838e-08 9.214851e-09
    < [8,] 1.332268e-08 2.775558e-10 -5.551115e-10 -1.804112e-09 2.470246e-09
    < [9,] 5.750955e-08 6.195044e-08 3.552714e-09 5.129230e-08 4.507505e-08
    < [10,] -6.128431e-08 1.332268e-09 -8.881784e-10 0.000000e+00 -2.486900e-08
    ---
    > [3,] -3.330669e-07 -3.108624e-07 3.819167e-08 1.003642e-07 1.127987e-07
    > [4,] -3.996803e-07 -4.409806e-07 3.463896e-07 -8.570922e-08 -5.906386e-08
    > [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] -2.565059e-06 5.626705e-07
    ---
    > [1] -2.565059e-06 5.631261e-07
    525,528c525,528
    < [1,] 0 NaN 6.891585e-10 -1.025907e-10 0 NaN 5.156227e-09
    < [2,] 0 NaN 2.296093e-09 4.410967e-09 0 NaN -1.464314e-10
    < [3,] 0 0 7.427872e-10 1.064857e-10 0 0 5.296636e-10
    < [4,] 0 0 4.974388e-08 8.627653e-09 0 0 2.150820e-10
    ---
    > [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
    530,533c530,533
    < [6,] 0 0 -6.366742e-10 -1.683002e-09 0 0 6.843762e-09
    < [7,] 0 0 -1.446281e-09 -9.317958e-11 0 0 9.599788e-09
    < [8,] 0 NaN 1.043391e-09 -8.397909e-09 0 NaN 7.544368e-09
    < [9,] 0 NaN 9.065837e-11 -5.796459e-10 0 NaN 3.277723e-10
    ---
    > [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
    536c536
    < [1,] 1.906379e-09 0 NaN 4.848442e-09 2.781219e-09 0 NaN
    ---
    > [1,] -1.062516e-09 0 NaN -3.166734e-09 -3.111712e-09 0 NaN
    538,545c538,545
    < [3,] -5.236398e-10 0 0 -5.345974e-10 -4.877059e-10 0 0.000000e+00
    < [4,] 2.837541e-10 0 0 -7.853802e-10 1.943112e-10 0 -7.171662e-10
    < [5,] -3.250540e-10 0 0 2.004394e-09 3.967273e-10 0 0.000000e+00
    < [6,] 1.107348e-08 0 0 1.565557e-08 1.786801e-08 0 0.000000e+00
    < [7,] -1.134859e-09 0 0 -1.664233e-09 -1.471122e-09 0 0.000000e+00
    < [8,] 1.572408e-09 0 NaN 5.467697e-08 1.917404e-07 0 NaN
    < [9,] 6.845990e-10 0 NaN 1.223654e-09 3.648402e-10 0 NaN
    < [10,] -8.893276e-08 0 NaN 8.735801e-05 3.740732e-05 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,] -1.654805e-09 -6.693693e-10 0 NaN -4.772642e-10
    < [2,] 6.492674e-09 3.663093e-09 0 NaN 3.704022e-10
    < [3,] -1.127529e-09 -1.114374e-09 0 0.000000e+00 -3.853798e-09
    < [4,] -6.382649e-09 -1.035605e-11 0 6.323810e-10 7.972859e-09
    < [5,] -7.969272e-10 -1.959845e-09 0 3.018252e-10 -1.180929e-10
    < [6,] 1.783621e-09 2.610036e-09 0 0.000000e+00 -2.332470e-08
    < [7,] -2.619951e-09 3.307185e-09 0 0.000000e+00 1.756852e-09
    < [8,] 1.998476e-09 1.800981e-08 0 NaN -2.279775e-08
    < [9,] 2.429759e-10 1.795338e-09 0 NaN 3.964202e-10
    < [10,] -1.226235e-10 5.093972e-10 0 NaN 3.607425e-08
    ---
    > [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
    558c558
    < [1,] 2.395493e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [1,] 8.320562e-10 0 0 0 0 0 0 0 0 0 0
    561c561
    < [4,] -4.138465e-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
    563,564c563,564
    < [6,] -4.819109e-09 0 0 0 0 0 0 0 0 0 0
    < [7,] -1.413387e-09 0 0 0 0 0 0 0 0 0 0
    ---
    > [6,] -2.469427e-08 0 0 0 0 0 0 0 0 0 0
    > [7,] 9.954260e-13 0 0 0 0 0 0 0 0 0 0
    566c566
    < [9,] -1.354131e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [9,] 2.603782e-10 0 0 0 0 0 0 0 0 0 0
    569c569
    < [1] -2.137830e-07 8.735801e-05
    ---
    > [1] -6.148317e-06 8.735801e-05
    572,575c572,575
    < [1,] 0 0 6.998779e-10 9.088674e-11 0 0 4.720499e-10
    < [2,] 0 0 -1.741916e-10 2.027217e-10 0 0 2.534117e-11
    < [3,] 0 0 1.611646e-10 -5.914924e-11 0 0 -2.990550e-10
    < [4,] 0 0 1.868380e-10 -2.134033e-10 0 0 2.998995e-11
    ---
    > [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
    577,580c577,580
    < [6,] 0 0 -2.612618e-10 6.518927e-10 0 0 4.540591e-10
    < [7,] 0 0 1.335939e-10 1.448403e-11 0 0 -2.552004e-10
    < [8,] 0 0 -4.005082e-10 -2.513998e-10 0 0 9.803569e-10
    < [9,] 0 0 2.639405e-11 2.738526e-10 0 0 4.090012e-11
    ---
    > [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
    583c583
    < [1,] -1.522489e-10 0 0 -4.330473e-10 2.166993e-10 0 0.000000e+00
    ---
    > [1,] 8.485558e-11 0 0 2.828426e-10 -2.424498e-10 0 0.000000e+00
    585,592c585,592
    < [3,] -7.568957e-10 0 0 2.130008e-10 -4.974676e-10 0 0.000000e+00
    < [4,] -2.605535e-10 0 0 -7.126713e-11 -1.161155e-10 0 4.440892e-10
    < [5,] 3.622924e-10 0 0 -1.922867e-10 -4.279713e-11 0 0.000000e+00
    < [6,] -6.934804e-10 0 0 -6.415889e-10 6.911891e-10 0 0.000000e+00
    < [7,] 5.076872e-11 0 0 -2.085906e-10 -3.102874e-10 0 0.000000e+00
    < [8,] -1.593515e-11 0 0 -4.194954e-10 1.147270e-10 0 0.000000e+00
    < [9,] -1.386260e-10 0 0 -1.798285e-10 8.700790e-11 0 0.000000e+00
    < [10,] 6.303726e-10 0 0 -3.358462e-10 3.813992e-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,] -2.142226e-10 7.559156e-11 0 0.000000e+00 2.189355e-10
    < [2,] -8.339336e-10 2.850260e-10 0 0.000000e+00 -1.756437e-10
    < [3,] 1.507573e-10 -3.814471e-10 0 0.000000e+00 3.631355e-10
    < [4,] 4.374528e-10 -4.674205e-12 0 -4.440892e-10 -6.197053e-10
    < [5,] -9.362261e-11 -2.589050e-10 0 -4.440892e-10 -9.658041e-11
    < [6,] 8.166549e-10 -1.128016e-09 0 0.000000e+00 7.674748e-10
    < [7,] 1.116067e-10 -2.370775e-10 0 0.000000e+00 2.259073e-10
    < [8,] 7.015379e-10 -4.930499e-10 0 0.000000e+00 4.372204e-10
    < [9,] 4.277098e-11 -5.128474e-10 0 0.000000e+00 -1.559798e-10
    < [10,] 1.245777e-10 1.372420e-09 0 0.000000e+00 -6.343757e-11
    ---
    > [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
    605c605
    < [1,] 9.586082e-11 0 0 0 0 0 0 0 0 0 0
    ---
    > [1,] 3.329653e-10 0 0 0 0 0 0 0 0 0 0
    608c608
    < [4,] -2.118329e-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
    610,611c610,611
    < [6,] -1.496744e-10 0 0 0 0 0 0 0 0 0 0
    < [7,] -3.058376e-10 0 0 0 0 0 0 0 0 0 0
    ---
    > [6,] -7.669672e-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
    613c613
    < [9,] -8.646284e-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] -1.128016e-09 1.372420e-09
    ---
    > [1] -1.212533e-09 1.196103e-09
    1639,1659c1639,1659
    < 1 -1.531435e-01 0.077935541 -1.944982e-02 2.592926e-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 0.304400468 -4.505573e-01 6.900180e-01 -4.797086e-01
    < 5 6.220480e-05 0.274378118 -8.324586e-03 2.080557e-01 -2.374979e-01
    < 6 -1.075015e-02 0.009675403 -7.673353e-04 -4.701659e-05 -4.797448e-04
    < 7 -4.005841e-01 0.153215835 -6.413458e-03 2.053763e-01 -2.556272e-02
    < 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
  • checking PDF version of manual ... OK