• using R version 2.15.3 (2013-03-01)
• using platform: i386-w64-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 for left-over files ... OK
• checking index information ... OK
• checking package subdirectories ... OK
• checking R files for non-ASCII characters ... OK
• checking R files for syntax errors ... OK
• loading checks for arch 'i386'
  ** checking whether the package can be loaded ... OK
  ** checking whether the package can be loaded with stated dependencies ... OK
  ** checking whether the package can be unloaded cleanly ... OK
  ** checking whether the namespace can be loaded with stated dependencies ... OK
  ** checking whether the namespace can be unloaded cleanly ... OK
  ** checking loading without being on the library search path ... OK
• loading checks for arch 'x64'
  ** checking whether the package can be loaded ... OK
  ** checking whether the package can be loaded with stated dependencies ... OK
  ** checking whether the package can be unloaded cleanly ... OK
  ** checking whether the namespace can be loaded with stated dependencies ... OK
  ** checking whether the namespace can be unloaded cleanly ... OK
  ** checking loading without being on the library search path ... OK
• checking for unstated dependencies in R code ... OK
• checking S3 generic/method consistency ... OK
• checking replacement functions ... OK
• checking foreign function calls ... OK
• checking R code for possible problems ... OK
• checking Rd files ... OK
• checking Rd metadata ... OK
• checking Rd cross-references ... OK
• checking for missing documentation entries ... OK
• checking for code/documentation mismatches ... OK
• checking Rd \usage sections ... OK
• checking Rd contents ... OK
• checking for unstated dependencies in examples ... OK
• checking examples ...
  ** running examples for arch 'i386' ... OK
  ** running examples for arch 'x64' ... OK
• checking for unstated dependencies in tests ... OK
• checking tests ...
  ** running tests for arch 'i386' OK
  Running 'mvProbitEst.R'
  Comparing 'mvProbitEst.Rout' to 'mvProbitEst.Rout.save' ...43c43
  < 1.28324 1.86926 -1.24423 -0.73195 1.09894 -1.56771 0.76996 -0.81486
  ---
  > 1.02508 1.30536 -1.02809 -0.78248 1.14318 -1.66938 0.58229 -0.69667
  45c45
  < 1.38354 0.84809 -0.01054 -0.10623
  ---
  > 1.23283 0.86322 0.36022 -0.08406
  56,67c56,67
  < b_1_0 1.28324 1.85726 0.691 0.4896
  < b_1_1 1.86926 3.89127 0.480 0.6310
  < b_1_2 -1.24423 1.67595 -0.742 0.4578
  < b_2_0 -0.73195 0.94983 -0.771 0.4409
  < b_2_1 1.09894 1.04063 1.056 0.2910
  < b_2_2 -1.56771 0.68509 -2.288 0.0221 *
  < b_3_0 0.76996 1.30619 0.589 0.5555
  < b_3_1 -0.81486 1.31052 -0.622 0.5341
  < b_3_2 1.38354 0.95034 1.456 0.1454
  < R_1_2 0.84809 115.27619 0.007 0.9941
  < R_1_3 -0.01054 5.14630 -0.002 0.9984
  < R_2_3 -0.10623 0.38673 -0.275 0.7836
  ---
  > b_1_0 1.02508 0.44548 2.301 0.0214 *
  > b_1_1 1.30536 0.73511 1.776 0.0758 .
  > b_1_2 -1.02809 0.68851 -1.493 0.1354
  > b_2_0 -0.78248 0.38798 -2.017 0.0437 *
  > b_2_1 1.14318 0.53026 2.156 0.0311 *
  > b_2_2 -1.66938 0.81308 -2.053 0.0401 *
  > b_3_0 0.58229 0.64107 0.908 0.3637
  > b_3_1 -0.69667 0.89818 -0.776 0.4380
  > b_3_2 1.23283 0.62452 1.974 0.0484 *
  > R_1_2 0.86322 18.60071 0.046 0.9630
  > R_1_3 0.36022 0.64712 0.557 0.5778
  > R_2_3 -0.08406 0.34909 -0.241 0.8097
  71c71
  < BHHH maximisation, 2 iterations
  ---
  > BHHH maximisation, 1 iterations
  73c73
  < Log-likelihood: -47.82034 on 12 Df
  ---
  > Log-likelihood: -56.90544 on 12 Df
  76c76
  < 'log Lik.' -47.82034 (df=12)
  ---
  > 'log Lik.' -56.90544 (df=12)
  98c98
  < 1.28324 1.86926 -1.24423 -0.73195 1.09894 -1.56771 0.76996 -0.81486
  ---
  > 1.02508 1.30536 -1.02809 -0.78248 1.14318 -1.66938 0.58229 -0.69667
  100c100
  < 1.38354 0.84809 -0.01054 -0.10623
  ---
  > 1.23283 0.86322 0.36022 -0.08406
  111,122c111,122
  < b_1_0 1.28324 1.85726 0.691 0.4896
  < b_1_1 1.86926 3.89132 0.480 0.6310
  < b_1_2 -1.24423 1.67595 -0.742 0.4578
  < b_2_0 -0.73195 0.94983 -0.771 0.4409
  < b_2_1 1.09894 1.04063 1.056 0.2910
  < b_2_2 -1.56771 0.68509 -2.288 0.0221 *
  < b_3_0 0.76996 1.30620 0.589 0.5555
  < b_3_1 -0.81486 1.31053 -0.622 0.5341
  < b_3_2 1.38354 0.95034 1.456 0.1454
  < R_1_2 0.84809 115.28105 0.007 0.9941
  < R_1_3 -0.01054 5.14629 -0.002 0.9984
  < R_2_3 -0.10623 0.38673 -0.275 0.7836
  ---
  > b_1_0 1.02508 0.44548 2.301 0.0214 *
  > b_1_1 1.30536 0.73511 1.776 0.0758 .
  > b_1_2 -1.02809 0.68851 -1.493 0.1354
  > b_2_0 -0.78248 0.38797 -2.017 0.0437 *
  > b_2_1 1.14318 0.53026 2.156 0.0311 *
  > b_2_2 -1.66938 0.81307 -2.053 0.0401 *
  > b_3_0 0.58229 0.64106 0.908 0.3637
  > b_3_1 -0.69667 0.89817 -0.776 0.4380
  > b_3_2 1.23283 0.62452 1.974 0.0484 *
  > R_1_2 0.86322 18.60041 0.046 0.9630
  > R_1_3 0.36022 0.64712 0.557 0.5778
  > R_2_3 -0.08406 0.34909 -0.241 0.8097
  126c126
  < BHHH maximisation, 2 iterations
  ---
  > BHHH maximisation, 1 iterations
  128c128
  < Log-likelihood: -47.82034 on 12 Df
  ---
  > Log-likelihood: -56.90544 on 12 Df
  131c131
  < 'log Lik.' -47.82034 (df=12)
  ---
  > 'log Lik.' -56.90544 (df=12)
  133,137c133,138
  < [1] "Component 2: Mean relative difference: 2.599651e-07"
  < [2] "Component 3: Mean relative difference: 2.341414e-06"
  < [3] "Component 4: Mean relative difference: 1.020999e-06"
  < [4] "Component 11: Mean relative difference: 5.513508e-07"
  < [5] "Component 12: target, current do not match when deparsed"
  ---
  > [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"
  > [6] "Component 12: target, current do not match when deparsed"
  152,155c153,156
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7680 1.2922 -0.8671 -0.8066 0.9229 -1.5913 0.4310 -0.5988 1.4376 0.2979
  < R_1_3 R_2_3
  < 0.3681 -0.1267
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53607 1.16101 -1.14212 -0.44952 1.05496 -1.57624 0.40751 -0.85400
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25958 0.29483 0.32822 -0.02382
  166,177c167,178
  < b_1_0 0.7680 1.0680 0.719 0.4720
  < b_1_1 1.2922 1.5950 0.810 0.4178
  < b_1_2 -0.8671 0.9762 -0.888 0.3744
  < b_2_0 -0.8066 0.6347 -1.271 0.2038
  < b_2_1 0.9229 0.7496 1.231 0.2182
  < b_2_2 -1.5913 0.6974 -2.282 0.0225 *
  < b_3_0 0.4310 0.8747 0.493 0.6222
  < b_3_1 -0.5988 0.9036 -0.663 0.5076
  < b_3_2 1.4376 0.8829 1.628 0.1035
  < R_1_2 0.2979 1.8910 0.158 0.8748
  < R_1_3 0.3681 1.4233 0.259 0.7959
  < R_2_3 -0.1267 0.4153 -0.305 0.7602
  ---
  > b_1_0 0.53607 0.82709 0.648 0.5169
  > b_1_1 1.16101 0.91515 1.269 0.2046
  > b_1_2 -1.14212 0.93847 -1.217 0.2236
  > b_2_0 -0.44952 0.79215 -0.567 0.5704
  > b_2_1 1.05496 0.88398 1.193 0.2327
  > b_2_2 -1.57624 0.73187 -2.154 0.0313 *
  > b_3_0 0.40751 0.48897 0.833 0.4046
  > b_3_1 -0.85400 0.84871 -1.006 0.3143
  > b_3_2 1.25958 0.68040 1.851 0.0641 .
  > R_1_2 0.29483 1.85817 0.159 0.8739
  > R_1_3 0.32822 0.70923 0.463 0.6435
  > R_2_3 -0.02382 0.34466 -0.069 0.9449
  183c184
  < Log-likelihood: -46.91322 on 12 Df
  ---
  > Log-likelihood: -52.94456 on 12 Df
  186c187
  < 'log Lik.' -46.91322 (df=12)
  ---
  > 'log Lik.' -52.94456 (df=12)
  201,204c202,205
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7680 1.2922 -0.8671 -0.8066 0.9229 -1.5913 0.4310 -0.5988 1.4376 0.2979
  < R_1_3 R_2_3
  < 0.3681 -0.1267
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53607 1.16101 -1.14213 -0.44952 1.05496 -1.57624 0.40751 -0.85400
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25958 0.29483 0.32822 -0.02382
  215,226c216,227
  < b_1_0 0.7680 1.0680 0.719 0.4720
  < b_1_1 1.2922 1.5950 0.810 0.4178
  < b_1_2 -0.8671 0.9762 -0.888 0.3744
  < b_2_0 -0.8066 0.6347 -1.271 0.2038
  < b_2_1 0.9229 0.7496 1.231 0.2182
  < b_2_2 -1.5913 0.6974 -2.282 0.0225 *
  < b_3_0 0.4310 0.8747 0.493 0.6222
  < b_3_1 -0.5988 0.9036 -0.663 0.5076
  < b_3_2 1.4376 0.8829 1.628 0.1035
  < R_1_2 0.2979 1.8910 0.158 0.8748
  < R_1_3 0.3681 1.4233 0.259 0.7959
  < R_2_3 -0.1267 0.4153 -0.305 0.7602
  ---
  > b_1_0 0.53607 0.82709 0.648 0.5169
  > b_1_1 1.16101 0.91515 1.269 0.2046
  > b_1_2 -1.14213 0.93847 -1.217 0.2236
  > b_2_0 -0.44952 0.79215 -0.567 0.5704
  > b_2_1 1.05496 0.88398 1.193 0.2327
  > b_2_2 -1.57624 0.73187 -2.154 0.0313 *
  > b_3_0 0.40751 0.48897 0.833 0.4046
  > b_3_1 -0.85400 0.84871 -1.006 0.3143
  > b_3_2 1.25958 0.68040 1.851 0.0641 .
  > R_1_2 0.29483 1.85817 0.159 0.8739
  > R_1_3 0.32822 0.70923 0.463 0.6435
  > R_2_3 -0.02382 0.34466 -0.069 0.9449
  232c233
  < Log-likelihood: -46.91322 on 12 Df
  ---
  > Log-likelihood: -52.94456 on 12 Df
  235c236
  < 'log Lik.' -46.91322 (df=12)
  ---
  > 'log Lik.' -52.94456 (df=12)
  237,240c238,241
  < [1] "Component 2: Mean relative difference: 2.202967e-07"
  < [2] "Component 3: Mean relative difference: 9.769063e-07"
  < [3] "Component 4: Mean relative difference: 5.205572e-07"
  < [4] "Component 12: Mean relative difference: 2.46626e-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"
  247,248d247
  < Warning message:
  < glm.fit: fitted probabilities numerically 0 or 1 occurred
  258c257
  < 0.63486 6.33665 -1.02183 -1.03442 1.26699 -1.75137 0.40209 -0.38566
  ---
  > 0.79353 1.88367 -1.74922 -0.40036 0.91577 -1.52106 0.97790 -1.69433
  260c259
  < 2.92075 0.66163 -0.04717 -0.30511
  ---
  > 1.57625 0.75270 0.23721 -0.03453
  271,282c270,283
  < b_1_0 0.63486 Inf 0 1
  < b_1_1 6.33665 Inf 0 1
  < b_1_2 -1.02183 Inf 0 1
  < b_2_0 -1.03442 Inf 0 1
  < b_2_1 1.26699 Inf 0 1
  < b_2_2 -1.75137 Inf 0 1
  < b_3_0 0.40209 Inf 0 1
  < b_3_1 -0.38566 Inf 0 1
  < b_3_2 2.92075 Inf 0 1
  < R_1_2 0.66163 Inf 0 1
  < R_1_3 -0.04717 Inf 0 1
  < R_2_3 -0.30511 Inf 0 1
  ---
  > b_1_0 0.79353 0.90412 0.878 0.3801
  > b_1_1 1.88367 0.90668 2.078 0.0378 *
  > b_1_2 -1.74922 0.97400 -1.796 0.0725 .
  > b_2_0 -0.40036 0.69056 -0.580 0.5621
  > b_2_1 0.91577 0.97998 0.934 0.3501
  > b_2_2 -1.52106 0.72006 -2.112 0.0347 *
  > b_3_0 0.97790 0.64497 1.516 0.1295
  > b_3_1 -1.69433 0.94788 -1.787 0.0739 .
  > b_3_2 1.57625 0.73399 2.148 0.0318 *
  > R_1_2 0.75270 4.32729 0.174 0.8619
  > R_1_3 0.23721 0.90535 0.262 0.7933
  > R_2_3 -0.03453 0.35889 -0.096 0.9234
  > ---
  > Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
  286c287
  < Log-likelihood: -41.60614 on 12 Df
  ---
  > Log-likelihood: -49.36404 on 12 Df
  289c290
  < 'log Lik.' -41.60614 (df=12)
  ---
  > 'log Lik.' -49.36404 (df=12)
  295,296d295
  < Warning message:
  < glm.fit: fitted probabilities numerically 0 or 1 occurred
  306c305
  < 0.6298 6.3366 -1.0519 -1.0442 1.2679 -1.7561 0.2701 -0.3906 2.9237 0.6858
  ---
  > 0.8110 1.9060 -1.7627 -0.3770 0.9441 -1.5332 0.9372 -1.7498 1.6024 0.6817
  308c307
  < 0.3067 -0.2714
  ---
  > 0.4044 0.1663
  319,330c318,331
  < b_1_0 0.6298 Inf 0 1
  < b_1_1 6.3366 Inf 0 1
  < b_1_2 -1.0519 Inf 0 1
  < b_2_0 -1.0442 Inf 0 1
  < b_2_1 1.2679 Inf 0 1
  < b_2_2 -1.7561 Inf 0 1
  < b_3_0 0.2701 Inf 0 1
  < b_3_1 -0.3906 Inf 0 1
  < b_3_2 2.9237 Inf 0 1
  < R_1_2 0.6858 Inf 0 1
  < R_1_3 0.3067 Inf 0 1
  < R_2_3 -0.2714 Inf 0 1
  ---
  > b_1_0 0.8110 0.9297 0.872 0.3830
  > b_1_1 1.9060 0.9160 2.081 0.0375 *
  > b_1_2 -1.7627 1.0131 -1.740 0.0819 .
  > b_2_0 -0.3770 0.7049 -0.535 0.5928
  > b_2_1 0.9441 1.0345 0.913 0.3615
  > b_2_2 -1.5332 0.7517 -2.040 0.0414 *
  > b_3_0 0.9372 0.6291 1.490 0.1363
  > b_3_1 -1.7498 0.9996 -1.751 0.0800 .
  > b_3_2 1.6024 0.7848 2.042 0.0412 *
  > R_1_2 0.6817 3.4094 0.200 0.8415
  > R_1_3 0.4044 0.8024 0.504 0.6143
  > R_2_3 0.1663 0.3389 0.491 0.6235
  > ---
  > Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
  334c335
  < Log-likelihood: -41.69106 on 12 Df
  ---
  > Log-likelihood: -49.57444 on 12 Df
  337c338
  < 'log Lik.' -41.69106 (df=12)
  ---
  > 'log Lik.' -49.57444 (df=12)
  352c353
  < 0.77685 1.29789 -0.83095 -0.80206 0.92413 -1.59399 0.45314 -0.58169
  ---
  > 0.55814 1.14958 -1.12747 -0.44426 1.07325 -1.57226 0.37255 -0.85470
  354c355
  < 1.44406 0.25677 -0.02347 -0.09887
  ---
  > 1.23011 0.34981 -0.01177 0.09435
  365,376c366,377
  < b_1_0 0.77685 1.13080 0.687 0.4921
  < b_1_1 1.29789 1.68761 0.769 0.4419
  < b_1_2 -0.83095 0.99540 -0.835 0.4038
  < b_2_0 -0.80206 0.64154 -1.250 0.2112
  < b_2_1 0.92413 0.75283 1.228 0.2196
  < b_2_2 -1.59399 0.69673 -2.288 0.0221 *
  < b_3_0 0.45314 0.92763 0.488 0.6252
  < b_3_1 -0.58169 0.95090 -0.612 0.5407
  < b_3_2 1.44406 0.95394 1.514 0.1301
  < R_1_2 0.25677 2.28017 0.113 0.9103
  < R_1_3 -0.02347 2.15002 -0.011 0.9913
  < R_2_3 -0.09887 0.40753 -0.243 0.8083
  ---
  > b_1_0 0.55814 0.86615 0.644 0.5193
  > b_1_1 1.14958 0.90607 1.269 0.2045
  > b_1_2 -1.12747 0.94191 -1.197 0.2313
  > b_2_0 -0.44426 0.85526 -0.519 0.6035
  > b_2_1 1.07325 0.99314 1.081 0.2798
  > b_2_2 -1.57226 0.78557 -2.001 0.0453 *
  > b_3_0 0.37255 0.56172 0.663 0.5072
  > b_3_1 -0.85470 0.95214 -0.898 0.3694
  > b_3_2 1.23011 0.71506 1.720 0.0854 .
  > R_1_2 0.34981 2.02289 0.173 0.8627
  > R_1_3 -0.01177 0.70776 -0.017 0.9867
  > R_2_3 0.09435 0.33920 0.278 0.7809
  382c383
  < Log-likelihood: -46.88256 on 12 Df
  ---
  > Log-likelihood: -52.78274 on 12 Df
  385c386
  < 'log Lik.' -46.88256 (df=12)
  ---
  > 'log Lik.' -52.78274 (df=12)
  391a393
  > There were 13 warnings (use warnings() to see them)
  400,403c402,405
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7680 1.2922 -0.8671 -0.8066 0.9229 -1.5913 0.4310 -0.5988 1.4376 0.2980
  < R_1_3 R_2_3
  < 0.3681 -0.1268
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53609 1.16102 -1.14213 -0.44952 1.05496 -1.57624 0.40753 -0.85400
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25960 0.29491 0.32819 -0.02386
  414,425c416,427
  < b_1_0 0.7680 1.0681 0.719 0.4721
  < b_1_1 1.2922 1.5950 0.810 0.4178
  < b_1_2 -0.8671 0.9760 -0.888 0.3743
  < b_2_0 -0.8066 0.6347 -1.271 0.2037
  < b_2_1 0.9229 0.7496 1.231 0.2182
  < b_2_2 -1.5913 0.6974 -2.282 0.0225 *
  < b_3_0 0.4310 0.8746 0.493 0.6221
  < b_3_1 -0.5988 0.9040 -0.662 0.5077
  < b_3_2 1.4376 0.8829 1.628 0.1035
  < R_1_2 0.2980 1.8908 0.158 0.8748
  < R_1_3 0.3681 1.4238 0.259 0.7960
  < R_2_3 -0.1268 0.4152 -0.305 0.7600
  ---
  > b_1_0 0.53609 0.82702 0.648 0.5168
  > b_1_1 1.16102 0.91511 1.269 0.2045
  > b_1_2 -1.14213 0.93837 -1.217 0.2235
  > b_2_0 -0.44952 0.79215 -0.567 0.5704
  > b_2_1 1.05496 0.88386 1.194 0.2326
  > b_2_2 -1.57624 0.73173 -2.154 0.0312 *
  > b_3_0 0.40753 0.48894 0.834 0.4046
  > b_3_1 -0.85400 0.84860 -1.006 0.3142
  > b_3_2 1.25960 0.68024 1.852 0.0641 .
  > R_1_2 0.29491 1.85789 0.159 0.8739
  > R_1_3 0.32819 0.70903 0.463 0.6435
  > R_2_3 -0.02386 0.34468 -0.069 0.9448
  431c433
  < Log-likelihood: -46.90901 on 12 Df
  ---
  > Log-likelihood: -52.94417 on 12 Df
  434c436
  < 'log Lik.' -46.90901 (df=12)
  ---
  > 'log Lik.' -52.94417 (df=12)
  436,440c438,442
  < [1] "Component 1: Mean relative difference: 8.958709e-05"
  < [2] "Component 2: Mean relative difference: 3.318315e-05"
  < [3] "Component 3: Mean relative difference: 0.002103889"
  < [4] "Component 4: Mean relative difference: 0.0003712333"
  < [5] "Component 12: Mean relative difference: 0.0002835789"
  ---
  > [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"
  > [4] "Component 4: Mean relative difference: 0.0001779414"
  > [5] "Component 12: Mean relative difference: 0.000115282"
  457,460c459,462
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7682 1.2924 -0.8667 -0.8091 0.9213 -1.5907 0.4270 -0.6014 1.4382 0.2955
  < R_1_3 R_2_3
  < 0.3671 -0.1238
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53597 1.16071 -1.14239 -0.45176 1.05313 -1.57570 0.40385 -0.85710
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25977 0.29530 0.32495 -0.02085
  471,482c473,484
  < b_1_0 0.7682 1.0721 0.717 0.4737
  < b_1_1 1.2924 1.5984 0.809 0.4188
  < b_1_2 -0.8667 0.9796 -0.885 0.3763
  < b_2_0 -0.8091 0.6341 -1.276 0.2020
  < b_2_1 0.9213 0.7493 1.230 0.2189
  < b_2_2 -1.5907 0.7010 -2.269 0.0233 *
  < b_3_0 0.4270 0.8842 0.483 0.6291
  < b_3_1 -0.6014 0.9036 -0.666 0.5057
  < b_3_2 1.4382 0.8777 1.639 0.1013
  < R_1_2 0.2955 1.8735 0.158 0.8747
  < R_1_3 0.3671 1.4139 0.260 0.7952
  < R_2_3 -0.1238 0.4210 -0.294 0.7688
  ---
  > b_1_0 0.53597 0.82729 0.648 0.5171
  > b_1_1 1.16071 0.91440 1.269 0.2043
  > b_1_2 -1.14239 0.93839 -1.217 0.2235
  > b_2_0 -0.45176 0.80664 -0.560 0.5754
  > b_2_1 1.05313 0.86861 1.212 0.2253
  > b_2_2 -1.57570 0.70696 -2.229 0.0258 *
  > b_3_0 0.40385 0.48737 0.829 0.4073
  > b_3_1 -0.85710 0.84821 -1.010 0.3123
  > b_3_2 1.25977 0.67819 1.858 0.0632 .
  > R_1_2 0.29530 1.85491 0.159 0.8735
  > R_1_3 0.32495 0.70449 0.461 0.6446
  > R_2_3 -0.02085 0.34616 -0.060 0.9520
  488c490
  < Log-likelihood: -46.91439 on 12 Df
  ---
  > Log-likelihood: -52.93771 on 12 Df
  491c493
  < 'log Lik.' -46.91439 (df=12)
  ---
  > 'log Lik.' -52.93771 (df=12)
  493,497c495,499
  < [1] "Component 1: Mean relative difference: 2.502295e-05"
  < [2] "Component 2: Mean relative difference: 0.002009583"
  < [3] "Component 3: Mean relative difference: 0.01595177"
  < [4] "Component 4: Mean relative difference: 0.01626711"
  < [5] "Component 12: Mean relative difference: 0.008265827"
  ---
  > [1] "Component 1: Mean relative difference: 0.000129477"
  > [2] "Component 2: Mean relative difference: 0.00208213"
  > [3] "Component 3: Mean relative difference: 0.01734212"
  > [4] "Component 4: Mean relative difference: 0.01316397"
  > [5] "Component 12: Mean relative difference: 0.006852369"
  500,504c502,506
  < [1] "Component 1: Mean relative difference: 0.0001146203"
  < [2] "Component 2: Mean relative difference: 0.002039374"
  < [3] "Component 3: Mean relative difference: 0.01490118"
  < [4] "Component 4: Mean relative difference: 0.0162733"
  < [5] "Component 12: Mean relative difference: 0.008245328"
  ---
  > [1] "Component 1: Mean relative difference: 0.000122134"
  > [2] "Component 2: Mean relative difference: 0.002077232"
  > [3] "Component 3: Mean relative difference: 0.01738213"
  > [4] "Component 4: Mean relative difference: 0.01309901"
  > [5] "Component 12: Mean relative difference: 0.006838735"
  521c523
  < 0.80 1.20 -0.80 -0.60 1.00 -1.60 0.50 -0.60 1.36 0.20 0.40 -0.10
  ---
  > 0.80 1.20 -0.80 -0.44 1.00 -1.60 0.50 -0.60 1.20 0.20 0.40 -0.10
  532,543c534,545
  < b_1_0 0.8000 1.1545 0.693 0.4883
  < b_1_1 1.2000 1.6297 0.736 0.4615
  < b_1_2 -0.8000 0.9730 -0.822 0.4110
  < b_2_0 -0.6000 0.5911 -1.015 0.3101
  < b_2_1 1.0000 0.6943 1.440 0.1498
  < b_2_2 -1.6000 0.6923 -2.311 0.0208 *
  < b_3_0 0.5000 0.9002 0.555 0.5786
  < b_3_1 -0.6000 0.8996 -0.667 0.5048
  < b_3_2 1.3600 0.8588 1.584 0.1133
  < R_1_2 0.2000 1.6393 0.122 0.9029
  < R_1_3 0.4000 1.4058 0.285 0.7760
  < R_2_3 -0.1000 0.4035 -0.248 0.8043
  ---
  > b_1_0 0.8000 1.0541 0.759 0.4479
  > b_1_1 1.2000 0.7460 1.609 0.1077
  > b_1_2 -0.8000 0.9185 -0.871 0.3838
  > b_2_0 -0.4400 0.7968 -0.552 0.5808
  > b_2_1 1.0000 0.8707 1.149 0.2507
  > b_2_2 -1.6000 0.6578 -2.432 0.0150 *
  > b_3_0 0.5000 0.5151 0.971 0.3317
  > b_3_1 -0.6000 0.7708 -0.778 0.4363
  > b_3_2 1.2000 0.6109 1.964 0.0495 *
  > R_1_2 0.2000 2.4163 0.083 0.9340
  > R_1_3 0.4000 0.7321 0.546 0.5848
  > R_2_3 -0.1000 0.3416 -0.293 0.7697
  549c551
  < Log-likelihood: -48.51181 on 12 Df
  ---
  > Log-likelihood: -56.94782 on 12 Df
  552c554
  < 'log Lik.' -48.51181 (df=12)
  ---
  > 'log Lik.' -56.94782 (df=12)
  562c564
  < 'log Lik.' 0.000770049 (df=12)
  ---
  > 'log Lik.' -0.004270927 (df=12)
  570c572
  < 'log Lik.' 0.009170254 (df=12)
  ---
  > 'log Lik.' 0.01228506 (df=12)
  578c580
  < 'log Lik.' -0.00334602 (df=12)
  ---
  > 'log Lik.' -0.001091556 (df=12)
  586c588
  < 'log Lik.' -0.04206608 (df=12)
  ---
  > 'log Lik.' -0.1316356 (df=12)
  594c596
  < 'log Lik.' -0.006127337 (df=12)
  ---
  > 'log Lik.' -0.006403428 (df=12)
  602,651c604,653
  < 1 0.258872436 0.2739467762 -0.208895073 -0.297614247 -3.054124e-01
  < 2 0.195417286 0.3409786470 -0.234422670 -0.252626223 -4.751749e-01
  < 3 0.192373000 0.3430715024 -0.234799085 -0.038342606 -6.241304e-01
  < 4 0.471086247 0.0182040297 -0.027722853 -0.236175311 -7.581867e-02
  < 5 0.155540831 0.3555071875 -0.231144664 -0.027149710 -5.669601e-01
  < 6 0.479735537 0.0101714191 -0.017582799 -0.262004101 -4.540198e-02
  < 7 0.017057813 0.0437354563 -0.027964612 -0.001057149 -2.271095e-02
  < 8 0.336824035 0.1666264281 -0.148796793 -0.334309741 -1.404598e-01
  < 9 0.229002476 0.3100549298 -0.224656960 -0.278088468 -3.836269e-01
  < 10 0.250155094 0.2850722466 -0.214066152 -0.292218204 -3.276179e-01
  < 11 0.288661811 0.2336846380 -0.188377881 -0.077310586 -5.636374e-01
  < 12 0.108093068 0.3229793513 -0.198721014 -0.015358299 -4.174412e-01
  < 13 0.135861080 0.3499146703 -0.221971492 -0.021908447 -5.151003e-01
  < 14 0.047726296 0.1665696808 -0.099405508 -0.004546265 -1.403899e-01
  < 15 0.043419629 0.1501025934 -0.089782866 -0.081915598 -4.238270e-01
  < 16 0.270668234 0.2583367707 -0.201254970 -0.068814518 -5.935719e-01
  < 17 0.304893340 0.2110071227 -0.175726234 -0.085540004 -5.312482e-01
  < 18 0.213134902 0.3262818875 -0.230476867 -0.266525088 -4.268698e-01
  < 19 0.408887595 0.0768231204 -0.083947975 -0.156273715 -2.547730e-01
  < 20 0.454937659 0.0008038804 -0.002358345 -0.207808093 -1.612296e-04
  < 21 0.109821803 0.3253946092 -0.200552787 -0.169627319 -6.346478e-01
  < 22 0.002776706 0.0019901082 -0.001691024 -0.007456803 -1.038715e-02
  < 23 0.424042403 0.0608459778 -0.070345275 -0.344039786 -3.503567e-02
  < 24 0.079605534 0.2671588178 -0.160538050 -0.132938866 -6.027849e-01
  < 25 0.082248936 0.2736706154 -0.164734597 -0.136337299 -6.090189e-01
  < 26 0.427438051 0.0574266112 -0.067313106 -0.343374291 -3.245646e-02
  < 27 0.144542771 0.3536141779 -0.226709764 -0.024158698 -5.398146e-01
  < 28 0.032981896 0.1082366191 -0.065512697 -0.002672614 -7.623839e-02
  < 29 0.242138476 0.2949157584 -0.218425404 -0.287035683 -3.485325e-01
  < 30 0.172543271 0.3529994693 -0.234829709 -0.032087723 -5.997339e-01
  < 31 0.202794120 0.3353566851 -0.233133014 -0.041851138 -6.312155e-01
  < 32 0.289997837 0.2318277204 -0.187370278 -0.314819204 -2.317307e-01
  < 33 0.129367275 0.3457667959 -0.217672229 -0.020288602 -4.947488e-01
  < 34 0.350491026 0.1481781349 -0.136720494 -0.112038609 -4.199626e-01
  < 35 0.156547965 0.3555348174 -0.231467209 -0.027431519 -5.692121e-01
  < 36 0.277336919 0.2492937918 -0.196641687 -0.071890072 -5.832764e-01
  < 37 0.438932012 0.0462905286 -0.057083045 -0.186972624 -1.684083e-01
  < 38 0.301812775 0.2153237399 -0.178192135 -0.320486214 -2.063727e-01
  < 39 0.137144942 0.3505916785 -0.222743785 -0.199187935 -6.090681e-01
  < 40 0.446570930 0.0392561225 -0.050293091 -0.337026772 -1.973568e-02
  < 41 0.421906917 0.0630266801 -0.072255050 -0.344400171 -3.670972e-02
  < 42 0.328426233 0.1781713962 -0.156083069 -0.331416057 -1.549907e-01
  < 43 0.255462967 0.2783452247 -0.210968441 -0.295533552 -3.140256e-01
  < 44 0.090084033 0.2913294479 -0.176376026 -0.011634410 -3.407606e-01
  < 45 0.470435333 0.0187548421 -0.028374537 -0.234751830 -7.781585e-02
  < 46 0.093857564 0.2989732354 -0.181561402 -0.150815776 -6.278794e-01
  < 47 0.435470146 0.0003744474 -0.001282157 -0.182984455 -6.473367e-05
  < 48 0.480273895 0.0095150434 -0.016685822 -0.295568990 -3.276315e-03
  < 49 0.153658158 0.3553919845 -0.230504901 -0.026626489 -5.626451e-01
  < 50 0.047071212 0.1641021118 -0.097959552 -0.087504177 -4.510703e-01
  ---
  > 1 0.3229491571 0.3836676992 -0.316955571 -0.441979915 -0.4386127078
  > 2 0.2429445848 0.3993797590 -0.330144619 -0.387614512 -0.5794260400
  > 3 0.2388601819 0.3982789455 -0.329783586 -0.099223749 -0.5013923968
  > 4 0.4010839953 0.0557836102 -0.084205830 -0.451571736 -0.1886322555
  > 5 0.1883227203 0.3691077222 -0.316570405 -0.067411731 -0.3961556791
  > 6 0.3702088341 0.0348830182 -0.061413065 -0.455364197 -0.1278614688
  > 7 0.0103207595 0.0220458595 -0.053123552 -0.001122225 -0.0060669426
  > 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
  > 15 0.0374442582 0.0966390781 -0.136761212 -0.096792632 -0.2915498517
  > 16 0.3364458707 0.3738145586 -0.310770786 -0.183076398 -0.6237777822
  > 17 0.3723866025 0.3359155655 -0.287500211 -0.225743149 -0.6256260658
  > 18 0.2663398659 0.4021325788 -0.330275056 -0.406929888 -0.5455404372
  > 19 0.4376429542 0.1696359686 -0.178946449 -0.370373203 -0.4388108527
  > 20 0.2241585805 0.0042036728 -0.014953502 -0.089300446 -0.0007183302
  > 21 0.1243685670 0.2889115851 -0.273009380 -0.249665699 -0.5965848232
  > 22 0.0007459368 0.0006997555 -0.005794037 -0.002963512 -0.0038764260
  > 23 0.4382229462 0.1426446471 -0.158983664 -0.377686061 -0.0793317558
  > 24 0.0830536061 0.2095390165 -0.223402595 -0.184151430 -0.5029618391
  > 25 0.0865903765 0.2172089609 -0.228508578 -0.190194230 -0.5140300922
  > 26 0.4378382911 0.1365702837 -0.154340785 -0.372385737 -0.0744061887
  > 27 0.1729600304 0.3543882323 -0.309111596 -0.058957089 -0.3607121360
  > 28 0.0257893979 0.0644472362 -0.105597216 -0.003833087 -0.0256483436
  > 29 0.3029664390 0.3943070185 -0.323906809 -0.431637730 -0.4798749185
  > 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
  > 33 0.1516902826 0.3293284563 -0.295806452 -0.048116319 -0.3098804128
  > 34 0.4109693775 0.2693770277 -0.246106417 -0.287100465 -0.5780744977
  > 35 0.1897254894 0.3703130155 -0.317166727 -0.068210588 -0.3993266523
  > 36 0.3438409908 0.3674584553 -0.306835661 -0.191130998 -0.6266939812
  > 37 0.4348121020 0.1159357570 -0.138075145 -0.412808406 -0.3345517685
  > 38 0.3693685444 0.3398244946 -0.289893267 -0.455294843 -0.3300385705
  > 39 0.1625954940 0.3428642991 -0.303078714 -0.301623340 -0.6275330281
  > 40 0.4310083028 0.1021309737 -0.126696301 -0.337178116 -0.0488785748
  > 41 0.4383602628 0.1464601355 -0.161869641 -0.380895849 -0.0824913410
  > 42 0.3938189786 0.3033933329 -0.267470489 -0.453789429 -0.2652455676
  > 43 0.3189542362 0.3861651946 -0.318550501 -0.440105656 -0.4471386008
  > 44 0.0971786805 0.2391890488 -0.242745143 -0.024716381 -0.1761938531
  > 45 0.4025240934 0.0571278504 -0.085567351 -0.451004212 -0.1923211012
  > 46 0.1023270344 0.2493442534 -0.249136290 -0.216048167 -0.5558718553
  > 47 0.1866549090 0.0021906375 -0.009700155 -0.066467854 -0.0003164631
  > 48 0.3664195841 0.0330393066 -0.059215375 -0.217972882 -0.0103701668
  > 49 0.1856983820 0.3667908424 -0.315417388 -0.065929410 -0.3901921733
  > 50 0.0417272238 0.1082331002 -0.146997339 -0.105894032 -0.3177684702
  653,702c655,704
  < 1 0.4180576497
  < 2 0.5315147771
  < 3 0.5586141020
  < 4 0.1135593116
  < 5 0.5080479928
  < 6 0.0757296451
  < 7 0.0326436775
  < 8 0.2555703276
  < 9 0.4764168603
  < 10 0.4356774080
  < 11 0.5339664181
  < 12 0.3859912893
  < 13 0.4652662164
  < 14 0.1514097032
  < 15 0.3098176348
  < 16 0.5531917513
  < 17 0.5119435557
  < 18 0.5042843488
  < 19 0.2933087075
  < 20 0.0019075455
  < 21 0.5522447234
  < 22 0.0088447550
  < 23 0.0985460084
  < 24 0.4823145368
  < 25 0.4908122095
  < 26 0.0933734063
  < 27 0.4855195106
  < 28 0.0903332693
  < 29 0.4515030921
  < 30 0.5360708795
  < 31 0.5662600122
  < 32 0.3531091806
  < 33 0.4486922694
  < 34 0.4301176956
  < 35 0.5099369882
  < 36 0.5467389282
  < 37 0.2125360412
  < 38 0.3281768607
  < 39 0.5731034362
  < 40 0.0655859752
  < 41 0.1018375518
  < 42 0.2726907778
  < 43 0.4249935135
  < 44 0.3233911542
  < 45 0.1159115779
  < 46 0.5224349671
  < 47 0.0009606262
  < 48 0.0178525049
  < 49 0.5044387516
  < 50 0.3323667100
  ---
  > 1 0.385921457
  > 2 0.468985619
  > 3 0.443346687
  > 4 0.222238974
  > 5 0.384718603
  > 6 0.172171936
  > 7 0.028392575
  > 8 0.261220788
  > 9 0.428728212
  > 10 0.398908844
  > 11 0.502249044
  > 12 0.280689477
  > 13 0.345312727
  > 14 0.112624216
  > 15 0.322287902
  > 16 0.501467723
  > 17 0.499011308
  > 18 0.449048188
  > 19 0.389108071
  > 20 0.005756040
  > 21 0.491440700
  > 22 0.022018756
  > 23 0.123707351
  > 24 0.446573484
  > 25 0.452240875
  > 26 0.118602809
  > 27 0.363374398
  > 28 0.070196017
  > 29 0.410521296
  > 30 0.414264757
  > 31 0.456293194
  > 32 0.337325583
  > 33 0.331118108
  > 34 0.470092740
  > 35 0.386586180
  > 36 0.502296099
  > 37 0.324544502
  > 38 0.318287912
  > 39 0.502499069
  > 40 0.090013131
  > 41 0.126925752
  > 42 0.274927429
  > 43 0.391041960
  > 44 0.233697242
  > 45 0.225088604
  > 46 0.472883551
  > 47 0.003381937
  > 48 0.032673430
  > 49 0.381188131
  > 50 0.339567947
  707,711c709,713
  < 1 0.06664716 0.008244374 0.04488189 0.015094199 0.002144036 0.055981485
  < 2 0.07328418 0.006640480 0.06507966 0.002031860 -0.008368833 0.048222630
  < 3 0.07357358 0.006466104 0.06578741 -0.008824737 -0.010085394 0.008726767
  < 4 0.21745216 0.003594170 -0.01035947 0.069792035 -0.010514983 0.027747669
  < 5 0.07518988 0.003438467 0.07128026 -0.012554467 -0.006075175 0.008722308
  ---
  > 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
  716,720c718,722
  < 1 0.008244374 0.033089139 0.0014718674 -0.007941368 0.026387101 0.001380318
  < 2 0.006640480 0.059497713 0.0117484033 -0.009254612 0.028229333 -0.006357230
  < 3 0.006466104 0.060790429 0.0121423272 0.004438131 -0.017151001 -0.016280139
  < 4 0.003594170 0.001904172 -0.0007712737 0.001091965 -0.005634870 0.001799710
  < 5 0.003438467 0.072586268 0.0147973999 0.003779580 -0.007017753 -0.012369924
  ---
  > 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
  725,729c727,731
  < 1 0.04488189 0.0014718674 0.07809425 0.020250739 0.005778395 0.07773571
  < 2 0.06507966 0.0117484033 0.11313618 -0.003293690 -0.006328747 0.06486322
  < 3 0.06578741 0.0121423272 0.11453948 -0.014350396 -0.024362848 0.01498377
  < 4 -0.01035947 -0.0007712737 0.00666279 0.004165971 0.002428571 -0.01650296
  < 5 0.07128026 0.0147973999 0.12596119 -0.014450467 -0.017799081 0.01767471
  ---
  > 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
  734,738c736,740
  < 1 0.015094199 -0.007941368 0.020250739 0.06027836 -0.014261482 0.036102163
  < 2 0.002031860 -0.009254612 -0.003293690 0.02226372 -0.008828705 0.012975983
  < 3 -0.008824737 0.004438131 -0.014350396 0.01865085 0.007096656 -0.013540889
  < 4 0.069792035 0.001091965 0.004165971 0.15345782 -0.004086536 -0.003949932
  < 5 -0.012554467 0.003779580 -0.014450467 0.01246146 0.005630864 -0.009071228
  ---
  > 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
  743,747c745,749
  < 1 0.002144036 0.026387101 0.005778395 -0.014261482 0.04514225 0.007029311
  < 2 -0.008368833 0.028229333 -0.006328747 -0.008828705 0.05435473 0.002579747
  < 3 -0.010085394 -0.017151001 -0.024362848 0.007096656 0.07511617 -0.004341041
  < 4 -0.010514983 -0.005634870 0.002428571 -0.004086536 0.01675676 -0.005724579
  < 5 -0.006075175 -0.007017753 -0.017799081 0.005630864 0.05227083 -0.013140382
  ---
  > 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
  752,756c754,758
  < 1 0.055981485 0.001380318 0.07773571 0.036102163 0.007029311 0.11721813
  < 2 0.048222630 -0.006357230 0.06486322 0.012975983 0.002579747 0.14211512
  < 3 0.008726767 -0.016280139 0.01498377 -0.013540889 -0.004341041 0.12396086
  < 4 0.027747669 0.001799710 -0.01650296 -0.003949932 -0.005724579 0.04338188
  < 5 0.008722308 -0.012369924 0.01767471 -0.009071228 -0.013140382 0.08863718
  ---
  > 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
  760,765c762,767
  < d_y1_d_x1 0.035759317 -0.0065300210 0.0320538830 -0.036752485 0.005529765
  < d_y2_d_x1 -0.006530021 0.0313482556 -0.0002233093 0.005900779 -0.032241470
  < d_y3_d_x1 0.032053883 -0.0002233093 0.0553451940 -0.034424056 -0.004883880
  < d_y1_d_x2 -0.036752485 0.0059007792 -0.0344240563 0.038445595 -0.004292549
  < d_y2_d_x2 0.005529765 -0.0322414700 -0.0048838803 -0.004292549 0.045899581
  < d_y3_d_x2 -0.046033715 -0.0017764968 -0.0731366301 0.049925295 0.007199874
  ---
  > 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
  767,772c769,774
  < d_y1_d_x1 -0.046033715
  < d_y2_d_x1 -0.001776497
  < d_y3_d_x1 -0.073136630
  < d_y1_d_x2 0.049925295
  < d_y2_d_x2 0.007199874
  < d_y3_d_x2 0.103959930
  ---
  > 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
  777,781c779,783
  < 1 -0.26992321 0 0 0.16316504 0 0
  < 2 -0.24597572 0 0 0.20032239 0 0
  < 3 -0.24426238 0 0 0.08037924 0 0
  < 4 -0.09308628 0 0 0.20638693 0 0
  < 5 -0.21941621 0 0 0.06122299 0 0
  ---
  > 1 -0.2388744 0 0 0.10904915 0 0
  > 2 -0.2499983 0 0 0.22038073 0 0
  > 3 -0.2493160 0 0 0.17333744 0 0
  > 4 0.1599499 0 0 0.06061104 0 0
  > 5 -0.2320732 0 0 0.13187340 0 0
  786,790c788,792
  < 1 0.07332362 0 0 0.00000000 0 0
  < 2 0.04538516 0 0 0.00000000 0 0
  < 3 0.04422160 0 0 0.08037924 0 0
  < 4 0.27238758 0 0 0.20638693 0 0
  < 5 0.03131252 0 0 0.06122299 0 0
  ---
  > 1 0.14810593 0 0 0.00000000 0 0
  > 2 0.08938182 0 0 0.00000000 0 0
  > 3 0.08687644 0 0 0.17333744 0 0
  > 4 0.39537857 0 0 0.06061104 0 0
  > 5 0.05902308 0 0 0.13187340 0 0
  795,799c797,801
  < 1 -0.068376545 0 0 0.38463973 0 0
  < 2 0.007021809 0 0 0.28568139 0 0
  < 3 0.010471640 0 0 0.04085241 0 0
  < 4 -0.127398099 0 0 0.55482194 0 0
  < 5 0.049537813 0 0 0.01745071 0 0
  ---
  > 1 -0.06051131 0 0 0.41462304 0 0
  > 2 0.00713664 0 0 0.33316686 0 0
  > 3 0.01068829 0 0 0.07939516 0 0
  > 4 0.21890784 0 0 0.47817985 0 0
  > 5 0.05239540 0 0 0.02922476 0 0
  804,808c806,810
  < 1 0 0.190946724 0 0 -0.3694682 0
  < 2 0 0.095155281 0 0 -0.3616062 0
  < 3 0 0.088457124 0 0 0.1151910 0
  < 4 0 0.043002797 0 0 -0.1562676 0
  < 5 0 -0.004677173 0 0 0.2694269 0
  ---
  > 1 0 0.11228991 0 0 -0.3723514 0
  > 2 0 -0.04471821 0 0 -0.2344970 0
  > 3 0 -0.05278442 0 0 0.3373956 0
  > 4 0 0.10632658 0 0 -0.2927056 0
  > 5 0 -0.14586693 0 0 0.3809701 0
  813,817c815,819
  < 1 0 0.38286918 0 0 0.0000000 0
  < 2 0 0.39375722 0 0 0.0000000 0
  < 3 0 0.39220621 0 0 0.1151910 0
  < 4 0 0.04764478 0 0 -0.1562676 0
  < 5 0 0.35628015 0 0 0.2694269 0
  ---
  > 1 0 0.3905552 0 0 0.0000000 0
  > 2 0 0.3228821 0 0 0.0000000 0
  > 3 0 0.3180941 0 0 0.3375706 0
  > 4 0 0.1196723 0 0 -0.2927275 0
  > 5 0 0.2513296 0 0 0.3809701 0
  822,826c824,828
  < 1 0 0.048370340 0 0 0.09832973 0
  < 2 0 -0.002716375 0 0 0.30893733 0
  < 3 0 -0.003792197 0 0 0.38725936 0
  < 4 0 0.058853726 0 0 -0.16631220 0
  < 5 0 0.001055970 0 0 0.29532783 0
  ---
  > 1 0 0.028445114 0 0 0.1839853 0
  > 2 0 0.001276560 0 0 0.3743377 0
  > 3 0 0.002262892 0 0 0.3035692 0
  > 4 0 0.145518796 0 0 -0.2809522 0
  > 5 0 0.032932520 0 0 0.1654057 0
  831,835c833,837
  < 1 0 0 0.10051369 0 0 -0.3326112
  < 2 0 0 0.02060789 0 0 -0.2073234
  < 3 0 0 0.01594887 0 0 0.1281606
  < 4 0 0 0.05651722 0 0 -0.2042909
  < 5 0 0 -0.04328079 0 0 0.2501766
  ---
  > 1 0 0 0.08932894 0 0 -0.2803831
  > 2 0 0 -0.01722018 0 0 -0.1742430
  > 3 0 0 -0.02279842 0 0 0.2218592
  > 4 0 0 0.13528012 0 0 -0.2837393
  > 5 0 0 -0.09049632 0 0 0.2811522
  840,844c842,846
  < 1 0 0 0.39132229 0 0 0.0000000
  < 2 0 0 0.39033936 0 0 0.0000000
  < 3 0 0 0.38858226 0 0 0.1281606
  < 4 0 0 0.07899395 0 0 -0.2042909
  < 5 0 0 0.35340754 0 0 0.2500968
  ---
  > 1 0 0 0.3957169 0 0 0.0000000
  > 2 0 0 0.3551135 0 0 0.0000000
  > 3 0 0 0.3519786 0 0 0.2217893
  > 4 0 0 0.1764384 0 0 -0.2838791
  > 5 0 0 0.3054330 0 0 0.2811872
  849,853c851,855
  < 1 0 0 0.0254619790 0 0 0.2065386
  < 2 0 0 -0.0005882883 0 0 0.3756368
  < 3 0 0 -0.0006837355 0 0 0.3830760
  < 4 0 0 0.0773495951 0 0 -0.2006293
  < 5 0 0 0.0097715476 0 0 0.2969881
  ---
  > 1 0 0 0.0226286748 0 0 0.2353483
  > 2 0 0 0.0004915802 0 0 0.3773680
  > 3 0 0 0.0009773785 0 0 0.3424694
  > 4 0 0 0.1851446874 0 0 -0.2120425
  > 5 0 0 0.0204314438 0 0 0.2419798
  884,889c886,891
  < d_y1_d_x1 -0.09578174 0.005139274 0.09831238 0.0000000 0.00000000 0.00000000
  < d_y2_d_x1 0.00000000 0.000000000 0.00000000 -0.1971324 0.08632207 0.20234082
  < d_y3_d_x1 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000
  < d_y1_d_x2 0.14497142 0.000000000 -0.04790091 0.0000000 0.00000000 0.00000000
  < d_y2_d_x2 0.00000000 0.000000000 0.00000000 0.3726041 0.00000000 -0.09939672
  < d_y3_d_x2 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000
  ---
  > 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
  891,896c893,898
  < d_y1_d_x1 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y2_d_x1 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y3_d_x1 -0.1278046 0.1033959 0.1311813 0 0 0
  < d_y1_d_x2 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y2_d_x2 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y3_d_x2 0.3470951 0.0000000 -0.1251915 0 0 0
  ---
  > d_y1_d_x1 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y2_d_x1 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y3_d_x1 -0.1816930 0.08789435 0.18649349 0 0 0
  > d_y1_d_x2 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y2_d_x2 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y3_d_x2 0.3005902 0.00000000 -0.03897388 0 0 0
  899,1198c901,1200
  < 1: d_y1_d_x1 2.589e-01 2.582e-01 1.003 0.31598
  < 1: d_y2_d_x1 2.739e-01 1.819e-01 1.506 0.13207
  < 1: d_y3_d_x1 -2.089e-01 2.795e-01 -0.748 0.45475
  < 1: d_y1_d_x2 -2.976e-01 2.455e-01 -1.212 0.22544
  < 1: d_y2_d_x2 -3.054e-01 2.125e-01 -1.437 0.15059
  < 1: d_y3_d_x2 4.181e-01 3.424e-01 1.221 0.22206
  < 2: d_y1_d_x1 1.954e-01 2.707e-01 0.722 0.47038
  < 2: d_y2_d_x1 3.410e-01 2.439e-01 1.398 0.16214
  < 2: d_y3_d_x1 -2.344e-01 3.364e-01 -0.697 0.48584
  < 2: d_y1_d_x2 -2.526e-01 1.492e-01 -1.693 0.09044 .
  < 2: d_y2_d_x2 -4.752e-01 2.331e-01 -2.038 0.04154 *
  < 2: d_y3_d_x2 5.315e-01 3.770e-01 1.410 0.15856
  < 3: d_y1_d_x1 1.924e-01 2.712e-01 0.709 0.47819
  < 3: d_y2_d_x1 3.431e-01 2.466e-01 1.391 0.16409
  < 3: d_y3_d_x1 -2.348e-01 3.384e-01 -0.694 0.48782
  < 3: d_y1_d_x2 -3.834e-02 1.366e-01 -0.281 0.77890
  < 3: d_y2_d_x2 -6.241e-01 2.741e-01 -2.277 0.02277 *
  < 3: d_y3_d_x2 5.586e-01 3.521e-01 1.587 0.11260
  < 4: d_y1_d_x1 4.711e-01 4.663e-01 1.010 0.31239
  < 4: d_y2_d_x1 1.820e-02 4.364e-02 0.417 0.67655
  < 4: d_y3_d_x1 -2.772e-02 8.163e-02 -0.340 0.73413
  < 4: d_y1_d_x2 -2.362e-01 3.917e-01 -0.603 0.54658
  < 4: d_y2_d_x2 -7.582e-02 1.294e-01 -0.586 0.55807
  < 4: d_y3_d_x2 1.136e-01 2.083e-01 0.545 0.58560
  < 5: d_y1_d_x1 1.555e-01 2.742e-01 0.567 0.57055
  < 5: d_y2_d_x1 3.555e-01 2.694e-01 1.320 0.18699
  < 5: d_y3_d_x1 -2.311e-01 3.549e-01 -0.651 0.51487
  < 5: d_y1_d_x2 -2.715e-02 1.116e-01 -0.243 0.80784
  < 5: d_y2_d_x2 -5.670e-01 2.286e-01 -2.480 0.01314 *
  < 5: d_y3_d_x2 5.080e-01 2.977e-01 1.706 0.08792 .
  < 6: d_y1_d_x1 4.797e-01 4.971e-01 0.965 0.33455
  < 6: d_y2_d_x1 1.017e-02 2.925e-02 0.348 0.72802
  < 6: d_y3_d_x1 -1.758e-02 6.097e-02 -0.288 0.77305
  < 6: d_y1_d_x2 -2.620e-01 4.208e-01 -0.623 0.53352
  < 6: d_y2_d_x2 -4.540e-02 9.832e-02 -0.462 0.64424
  < 6: d_y3_d_x2 7.573e-02 1.793e-01 0.422 0.67273
  < 7: d_y1_d_x1 1.706e-02 1.033e-01 0.165 0.86884
  < 7: d_y2_d_x1 4.374e-02 8.684e-02 0.504 0.61453
  < 7: d_y3_d_x1 -2.796e-02 1.050e-01 -0.266 0.79007
  < 7: d_y1_d_x2 -1.057e-03 1.037e-02 -0.102 0.91880
  < 7: d_y2_d_x2 -2.271e-02 5.658e-02 -0.401 0.68811
  < 7: d_y3_d_x2 3.264e-02 8.534e-02 0.383 0.70208
  < 8: d_y1_d_x1 3.368e-01 2.715e-01 1.240 0.21482
  < 8: d_y2_d_x1 1.666e-01 1.301e-01 1.281 0.20034
  < 8: d_y3_d_x1 -1.488e-01 2.060e-01 -0.722 0.47013
  < 8: d_y1_d_x2 -3.343e-01 3.504e-01 -0.954 0.34010
  < 8: d_y2_d_x2 -1.405e-01 1.753e-01 -0.801 0.42297
  < 8: d_y3_d_x2 2.556e-01 2.843e-01 0.899 0.36876
  < 9: d_y1_d_x1 2.290e-01 2.637e-01 0.869 0.38509
  < 9: d_y2_d_x1 3.101e-01 2.113e-01 1.467 0.14230
  < 9: d_y3_d_x1 -2.247e-01 3.086e-01 -0.728 0.46656
  < 9: d_y1_d_x2 -2.781e-01 1.981e-01 -1.404 0.16028
  < 9: d_y2_d_x2 -3.836e-01 2.194e-01 -1.749 0.08031 .
  < 9: d_y3_d_x2 4.764e-01 3.628e-01 1.313 0.18915
  < 10: d_y1_d_x1 2.502e-01 2.595e-01 0.964 0.33501
  < 10: d_y2_d_x1 2.851e-01 1.902e-01 1.499 0.13387
  < 10: d_y3_d_x1 -2.141e-01 2.881e-01 -0.743 0.45754
  < 10: d_y1_d_x2 -2.922e-01 2.316e-01 -1.262 0.20709
  < 10: d_y2_d_x2 -3.276e-01 2.143e-01 -1.528 0.12641
  < 10: d_y3_d_x2 4.357e-01 3.487e-01 1.249 0.21150
  < 11: d_y1_d_x1 2.887e-01 2.569e-01 1.124 0.26116
  < 11: d_y2_d_x1 2.337e-01 1.572e-01 1.487 0.13708
  < 11: d_y3_d_x1 -1.884e-01 2.498e-01 -0.754 0.45079
  < 11: d_y1_d_x2 -7.731e-02 1.996e-01 -0.387 0.69849
  < 11: d_y2_d_x2 -5.636e-01 1.967e-01 -2.865 0.00417 **
  < 11: d_y3_d_x2 5.340e-01 2.546e-01 2.097 0.03600 *
  < 12: d_y1_d_x1 1.081e-01 2.613e-01 0.414 0.67915
  < 12: d_y2_d_x1 3.230e-01 2.607e-01 1.239 0.21530
  < 12: d_y3_d_x1 -1.987e-01 3.426e-01 -0.580 0.56188
  < 12: d_y1_d_x2 -1.536e-02 7.808e-02 -0.197 0.84406
  < 12: d_y2_d_x2 -4.174e-01 1.434e-01 -2.910 0.00361 **
  < 12: d_y3_d_x2 3.860e-01 1.701e-01 2.269 0.02324 *
  < 13: d_y1_d_x1 1.359e-01 2.718e-01 0.500 0.61721
  < 13: d_y2_d_x1 3.499e-01 2.720e-01 1.287 0.19826
  < 13: d_y3_d_x1 -2.220e-01 3.553e-01 -0.625 0.53212
  < 13: d_y1_d_x2 -2.191e-02 9.813e-02 -0.223 0.82333
  < 13: d_y2_d_x2 -5.151e-01 1.909e-01 -2.698 0.00697 **
  < 13: d_y3_d_x2 4.653e-01 2.486e-01 1.872 0.06126 .
  < 14: d_y1_d_x1 4.773e-02 1.904e-01 0.251 0.80211
  < 14: d_y2_d_x1 1.666e-01 1.784e-01 0.934 0.35037
  < 14: d_y3_d_x1 -9.941e-02 2.373e-01 -0.419 0.67525
  < 14: d_y1_d_x2 -4.546e-03 3.308e-02 -0.137 0.89068
  < 14: d_y2_d_x2 -1.404e-01 1.386e-01 -1.013 0.31121
  < 14: d_y3_d_x2 1.514e-01 1.419e-01 1.067 0.28583
  < 15: d_y1_d_x1 4.342e-02 1.814e-01 0.239 0.81079
  < 15: d_y2_d_x1 1.501e-01 1.695e-01 0.886 0.37574
  < 15: d_y3_d_x1 -8.978e-02 2.235e-01 -0.402 0.68791
  < 15: d_y1_d_x2 -8.192e-02 1.958e-01 -0.418 0.67564
  < 15: d_y2_d_x2 -4.238e-01 2.160e-01 -1.963 0.04970 *
  < 15: d_y3_d_x2 3.098e-01 3.288e-01 0.942 0.34606
  < 16: d_y1_d_x1 2.707e-01 2.570e-01 1.053 0.29220
  < 16: d_y2_d_x1 2.583e-01 1.714e-01 1.507 0.13173
  < 16: d_y3_d_x1 -2.013e-01 2.676e-01 -0.752 0.45206
  < 16: d_y1_d_x2 -6.881e-02 1.877e-01 -0.367 0.71386
  < 16: d_y2_d_x2 -5.936e-01 2.253e-01 -2.635 0.00842 **
  < 16: d_y3_d_x2 5.532e-01 2.928e-01 1.889 0.05887 .
  < 17: d_y1_d_x1 3.049e-01 2.591e-01 1.177 0.23936
  < 17: d_y2_d_x1 2.110e-01 1.464e-01 1.441 0.14954
  < 17: d_y3_d_x1 -1.757e-01 2.343e-01 -0.750 0.45321
  < 17: d_y1_d_x2 -8.554e-02 2.104e-01 -0.407 0.68436
  < 17: d_y2_d_x2 -5.312e-01 1.713e-01 -3.101 0.00193 **
  < 17: d_y3_d_x2 5.119e-01 2.171e-01 2.358 0.01839 *
  < 18: d_y1_d_x1 2.131e-01 2.671e-01 0.798 0.42496
  < 18: d_y2_d_x1 3.263e-01 2.273e-01 1.436 0.15111
  < 18: d_y3_d_x1 -2.305e-01 3.227e-01 -0.714 0.47503
  < 18: d_y1_d_x2 -2.665e-01 1.738e-01 -1.533 0.12516
  < 18: d_y2_d_x2 -4.269e-01 2.245e-01 -1.901 0.05730 .
  < 18: d_y3_d_x2 5.043e-01 3.713e-01 1.358 0.17444
  < 19: d_y1_d_x1 4.089e-01 3.450e-01 1.185 0.23592
  < 19: d_y2_d_x1 7.682e-02 9.728e-02 0.790 0.42969
  < 19: d_y3_d_x1 -8.395e-02 1.499e-01 -0.560 0.57553
  < 19: d_y1_d_x2 -1.563e-01 2.950e-01 -0.530 0.59635
  < 19: d_y2_d_x2 -2.548e-01 1.649e-01 -1.545 0.12229
  < 19: d_y3_d_x2 2.933e-01 1.768e-01 1.659 0.09718 .
  < 20: d_y1_d_x1 4.549e-01 5.627e-01 0.808 0.41884
  < 20: d_y2_d_x1 8.039e-04 4.022e-03 0.200 0.84157
  < 20: d_y3_d_x1 -2.358e-03 1.383e-02 -0.171 0.86458
  < 20: d_y1_d_x2 -2.078e-01 1.186e-01 -1.752 0.07969 .
  < 20: d_y2_d_x2 -1.612e-04 1.119e-03 -0.144 0.88544
  < 20: d_y3_d_x2 1.908e-03 1.188e-02 0.161 0.87243
  < 21: d_y1_d_x1 1.098e-01 2.623e-01 0.419 0.67542
  < 21: d_y2_d_x1 3.254e-01 2.619e-01 1.242 0.21407
  < 21: d_y3_d_x1 -2.006e-01 3.439e-01 -0.583 0.55978
  < 21: d_y1_d_x2 -1.696e-01 1.452e-01 -1.169 0.24256
  < 21: d_y2_d_x2 -6.346e-01 2.792e-01 -2.273 0.02300 *
  < 21: d_y3_d_x2 5.522e-01 3.047e-01 1.813 0.06989 .
  < 22: d_y1_d_x1 2.777e-03 2.724e-02 0.102 0.91880
  < 22: d_y2_d_x1 1.990e-03 8.957e-03 0.222 0.82417
  < 22: d_y3_d_x1 -1.691e-03 1.198e-02 -0.141 0.88778
  < 22: d_y1_d_x2 -7.457e-03 5.816e-02 -0.128 0.89798
  < 22: d_y2_d_x2 -1.039e-02 3.880e-02 -0.268 0.78893
  < 22: d_y3_d_x2 8.845e-03 5.160e-02 0.171 0.86390
  < 23: d_y1_d_x1 4.240e-01 3.686e-01 1.150 0.24999
  < 23: d_y2_d_x1 6.085e-02 8.758e-02 0.695 0.48724
  < 23: d_y3_d_x1 -7.035e-02 1.372e-01 -0.513 0.60817
  < 23: d_y1_d_x2 -3.440e-01 3.851e-01 -0.893 0.37169
  < 23: d_y2_d_x2 -3.504e-02 8.308e-02 -0.422 0.67323
  < 23: d_y3_d_x2 9.855e-02 1.926e-01 0.512 0.60898
  < 24: d_y1_d_x1 7.961e-02 2.384e-01 0.334 0.73844
  < 24: d_y2_d_x1 2.672e-01 2.305e-01 1.159 0.24653
  < 24: d_y3_d_x1 -1.605e-01 3.093e-01 -0.519 0.60369
  < 24: d_y1_d_x2 -1.329e-01 1.777e-01 -0.748 0.45436
  < 24: d_y2_d_x2 -6.028e-01 2.494e-01 -2.417 0.01567 *
  < 24: d_y3_d_x2 4.823e-01 2.758e-01 1.749 0.08031 .
  < 25: d_y1_d_x1 8.225e-02 2.412e-01 0.341 0.73308
  < 25: d_y2_d_x1 2.737e-01 2.340e-01 1.169 0.24227
  < 25: d_y3_d_x1 -1.647e-01 3.134e-01 -0.526 0.59913
  < 25: d_y1_d_x2 -1.363e-01 1.753e-01 -0.778 0.43665
  < 25: d_y2_d_x2 -6.090e-01 2.534e-01 -2.404 0.01622 *
  < 25: d_y3_d_x2 4.908e-01 2.758e-01 1.780 0.07512 .
  < 26: d_y1_d_x1 4.274e-01 3.743e-01 1.142 0.25348
  < 26: d_y2_d_x1 5.743e-02 8.518e-02 0.674 0.50022
  < 26: d_y3_d_x1 -6.731e-02 1.342e-01 -0.502 0.61590
  < 26: d_y1_d_x2 -3.434e-01 3.834e-01 -0.896 0.37042
  < 26: d_y2_d_x2 -3.246e-02 7.905e-02 -0.411 0.68138
  < 26: d_y3_d_x2 9.337e-02 1.875e-01 0.498 0.61843
  < 27: d_y1_d_x1 1.445e-01 2.733e-01 0.529 0.59690
  < 27: d_y2_d_x1 3.536e-01 2.719e-01 1.301 0.19334
  < 27: d_y3_d_x1 -2.267e-01 3.560e-01 -0.637 0.52421
  < 27: d_y1_d_x2 -2.416e-02 1.039e-01 -0.232 0.81618
  < 27: d_y2_d_x2 -5.398e-01 2.081e-01 -2.593 0.00950 **
  < 27: d_y3_d_x2 4.855e-01 2.716e-01 1.788 0.07384 .
  < 28: d_y1_d_x1 3.298e-02 1.558e-01 0.212 0.83236
  < 28: d_y2_d_x1 1.082e-01 1.441e-01 0.751 0.45270
  < 28: d_y3_d_x1 -6.551e-02 1.845e-01 -0.355 0.72259
  < 28: d_y1_d_x2 -2.673e-03 2.219e-02 -0.120 0.90414
  < 28: d_y2_d_x2 -7.624e-02 1.129e-01 -0.675 0.49957
  < 28: d_y3_d_x2 9.033e-02 1.336e-01 0.676 0.49905
  < 29: d_y1_d_x1 2.421e-01 2.609e-01 0.928 0.35343
  < 29: d_y2_d_x1 2.949e-01 1.981e-01 1.489 0.13648
  < 29: d_y3_d_x1 -2.184e-01 2.960e-01 -0.738 0.46061
  < 29: d_y1_d_x2 -2.870e-01 2.189e-01 -1.311 0.18983
  < 29: d_y2_d_x2 -3.485e-01 2.162e-01 -1.612 0.10689
  < 29: d_y3_d_x2 4.515e-01 3.542e-01 1.275 0.20236
  < 30: d_y1_d_x1 1.725e-01 2.738e-01 0.630 0.52857
  < 30: d_y2_d_x1 3.530e-01 2.613e-01 1.351 0.17669
  < 30: d_y3_d_x1 -2.348e-01 3.495e-01 -0.672 0.50166
  < 30: d_y1_d_x2 -3.209e-02 1.235e-01 -0.260 0.79495
  < 30: d_y2_d_x2 -5.997e-01 2.550e-01 -2.352 0.01869 *
  < 30: d_y3_d_x2 5.361e-01 3.297e-01 1.626 0.10391
  < 31: d_y1_d_x1 2.028e-01 2.693e-01 0.753 0.45143
  < 31: d_y2_d_x1 3.354e-01 2.372e-01 1.414 0.15746
  < 31: d_y3_d_x1 -2.331e-01 3.310e-01 -0.704 0.48118
  < 31: d_y1_d_x2 -4.185e-02 1.437e-01 -0.291 0.77079
  < 31: d_y2_d_x2 -6.312e-01 2.785e-01 -2.267 0.02341 *
  < 31: d_y3_d_x2 5.663e-01 3.573e-01 1.585 0.11298
  < 32: d_y1_d_x1 2.900e-01 2.570e-01 1.128 0.25913
  < 32: d_y2_d_x1 2.318e-01 1.562e-01 1.484 0.13781
  < 32: d_y3_d_x1 -1.874e-01 2.485e-01 -0.754 0.45085
  < 32: d_y1_d_x2 -3.148e-01 2.922e-01 -1.077 0.28132
  < 32: d_y2_d_x2 -2.317e-01 2.032e-01 -1.140 0.25415
  < 32: d_y3_d_x2 3.531e-01 3.192e-01 1.106 0.26860
  < 33: d_y1_d_x1 1.294e-01 2.702e-01 0.479 0.63210
  < 33: d_y2_d_x1 3.458e-01 2.710e-01 1.276 0.20194
  < 33: d_y3_d_x1 -2.177e-01 3.538e-01 -0.615 0.53841
  < 33: d_y1_d_x2 -2.029e-02 9.340e-02 -0.217 0.82803
  < 33: d_y2_d_x2 -4.947e-01 1.781e-01 -2.779 0.00546 **
  < 33: d_y3_d_x2 4.487e-01 2.302e-01 1.949 0.05132 .
  < 34: d_y1_d_x1 3.505e-01 2.805e-01 1.249 0.21150
  < 34: d_y2_d_x1 1.482e-01 1.244e-01 1.191 0.23346
  < 34: d_y3_d_x1 -1.367e-01 1.949e-01 -0.702 0.48295
  < 34: d_y1_d_x2 -1.120e-01 2.429e-01 -0.461 0.64466
  < 34: d_y2_d_x2 -4.200e-01 1.336e-01 -3.144 0.00166 **
  < 34: d_y3_d_x2 4.301e-01 1.310e-01 3.283 0.00103 **
  < 35: d_y1_d_x1 1.565e-01 2.742e-01 0.571 0.56811
  < 35: d_y2_d_x1 3.555e-01 2.691e-01 1.321 0.18640
  < 35: d_y3_d_x1 -2.315e-01 3.547e-01 -0.653 0.51405
  < 35: d_y1_d_x2 -2.743e-02 1.125e-01 -0.244 0.80731
  < 35: d_y2_d_x2 -5.692e-01 2.306e-01 -2.468 0.01357 *
  < 35: d_y3_d_x2 5.099e-01 2.999e-01 1.701 0.08902 .
  < 36: d_y1_d_x1 2.773e-01 2.567e-01 1.081 0.27991
  < 36: d_y2_d_x1 2.493e-01 1.658e-01 1.503 0.13280
  < 36: d_y3_d_x1 -1.966e-01 2.610e-01 -0.753 0.45116
  < 36: d_y1_d_x2 -7.189e-02 1.919e-01 -0.375 0.70800
  < 36: d_y2_d_x2 -5.833e-01 2.149e-01 -2.714 0.00664 **
  < 36: d_y3_d_x2 5.467e-01 2.793e-01 1.957 0.05029 .
  < 37: d_y1_d_x1 4.389e-01 3.948e-01 1.112 0.26621
  < 37: d_y2_d_x1 4.629e-02 7.636e-02 0.606 0.54436
  < 37: d_y3_d_x1 -5.708e-02 1.232e-01 -0.463 0.64319
  < 37: d_y1_d_x2 -1.870e-01 3.321e-01 -0.563 0.57342
  < 37: d_y2_d_x2 -1.684e-01 1.684e-01 -1.000 0.31733
  < 37: d_y3_d_x2 2.125e-01 2.150e-01 0.988 0.32298
  < 38: d_y1_d_x1 3.018e-01 2.585e-01 1.167 0.24302
  < 38: d_y2_d_x1 2.153e-01 1.483e-01 1.452 0.14655
  < 38: d_y3_d_x1 -1.782e-01 2.372e-01 -0.751 0.45246
  < 38: d_y1_d_x2 -3.205e-01 3.086e-01 -1.039 0.29902
  < 38: d_y2_d_x2 -2.064e-01 1.979e-01 -1.043 0.29709
  < 38: d_y3_d_x2 3.282e-01 3.105e-01 1.057 0.29055
  < 39: d_y1_d_x1 1.371e-01 2.721e-01 0.504 0.61424
  < 39: d_y2_d_x1 3.506e-01 2.721e-01 1.289 0.19753
  < 39: d_y3_d_x1 -2.227e-01 3.555e-01 -0.627 0.53092
  < 39: d_y1_d_x2 -1.992e-01 1.224e-01 -1.628 0.10355
  < 39: d_y2_d_x2 -6.091e-01 2.750e-01 -2.215 0.02678 *
  < 39: d_y3_d_x2 5.731e-01 3.465e-01 1.654 0.09810 .
  < 40: d_y1_d_x1 4.466e-01 4.095e-01 1.091 0.27549
  < 40: d_y2_d_x1 3.926e-02 6.983e-02 0.562 0.57399
  < 40: d_y3_d_x1 -5.029e-02 1.152e-01 -0.437 0.66239
  < 40: d_y1_d_x2 -3.370e-01 3.655e-01 -0.922 0.35651
  < 40: d_y2_d_x2 -1.974e-02 5.624e-02 -0.351 0.72566
  < 40: d_y3_d_x2 6.559e-02 1.553e-01 0.422 0.67271
  < 41: d_y1_d_x1 4.219e-01 3.651e-01 1.156 0.24786
  < 41: d_y2_d_x1 6.303e-02 8.905e-02 0.708 0.47909
  < 41: d_y3_d_x1 -7.226e-02 1.391e-01 -0.520 0.60339
  < 41: d_y1_d_x2 -3.444e-01 3.861e-01 -0.892 0.37235
  < 41: d_y2_d_x2 -3.671e-02 8.563e-02 -0.429 0.66814
  < 41: d_y3_d_x2 1.018e-01 1.958e-01 0.520 0.60294
  < 42: d_y1_d_x1 3.284e-01 2.672e-01 1.229 0.21894
  < 42: d_y2_d_x1 1.782e-01 1.339e-01 1.331 0.18335
  < 42: d_y3_d_x1 -1.561e-01 2.131e-01 -0.732 0.46396
  < 42: d_y1_d_x2 -3.314e-01 3.414e-01 -0.971 0.33173
  < 42: d_y2_d_x2 -1.550e-01 1.817e-01 -0.853 0.39363
  < 42: d_y3_d_x2 2.727e-01 2.909e-01 0.937 0.34863
  < 43: d_y1_d_x1 2.555e-01 2.586e-01 0.988 0.32329
  < 43: d_y2_d_x1 2.783e-01 1.851e-01 1.504 0.13263
  < 43: d_y3_d_x1 -2.110e-01 2.829e-01 -0.746 0.45577
  < 43: d_y1_d_x2 -2.955e-01 2.400e-01 -1.231 0.21823
  < 43: d_y2_d_x2 -3.140e-01 2.133e-01 -1.472 0.14090
  < 43: d_y3_d_x2 4.250e-01 3.449e-01 1.232 0.21782
  < 44: d_y1_d_x1 9.008e-02 2.486e-01 0.362 0.71705
  < 44: d_y2_d_x1 2.913e-01 2.436e-01 1.196 0.23175
  < 44: d_y3_d_x1 -1.764e-01 3.243e-01 -0.544 0.58652
  < 44: d_y1_d_x2 -1.163e-02 6.449e-02 -0.180 0.85684
  < 44: d_y2_d_x2 -3.408e-01 1.334e-01 -2.555 0.01063 *
  < 44: d_y3_d_x2 3.234e-01 1.327e-01 2.438 0.01477 *
  < 45: d_y1_d_x1 4.704e-01 4.645e-01 1.013 0.31114
  < 45: d_y2_d_x1 1.875e-02 4.450e-02 0.421 0.67343
  < 45: d_y3_d_x1 -2.837e-02 8.280e-02 -0.343 0.73183
  < 45: d_y1_d_x2 -2.348e-01 3.900e-01 -0.602 0.54727
  < 45: d_y2_d_x2 -7.782e-02 1.310e-01 -0.594 0.55257
  < 45: d_y3_d_x2 1.159e-01 2.095e-01 0.553 0.58012
  < 46: d_y1_d_x1 9.386e-02 2.517e-01 0.373 0.70924
  < 46: d_y2_d_x1 2.990e-01 2.478e-01 1.207 0.22758
  < 46: d_y3_d_x1 -1.816e-01 3.289e-01 -0.552 0.58090
  < 46: d_y1_d_x2 -1.508e-01 1.628e-01 -0.926 0.35431
  < 46: d_y2_d_x2 -6.279e-01 2.681e-01 -2.342 0.01917 *
  < 46: d_y3_d_x2 5.224e-01 2.829e-01 1.847 0.06475 .
  < 47: d_y1_d_x1 4.355e-01 5.748e-01 0.758 0.44867
  < 47: d_y2_d_x1 3.745e-04 2.116e-03 0.177 0.85952
  < 47: d_y3_d_x1 -1.282e-03 8.465e-03 -0.151 0.87961
  < 47: d_y1_d_x2 -1.830e-01 1.260e-01 -1.452 0.14647
  < 47: d_y2_d_x2 -6.473e-05 5.000e-04 -0.129 0.89699
  < 47: d_y3_d_x2 9.606e-04 6.664e-03 0.144 0.88537
  < 48: d_y1_d_x1 4.803e-01 5.001e-01 0.960 0.33688
  < 48: d_y2_d_x1 9.515e-03 2.789e-02 0.341 0.73295
  < 48: d_y3_d_x1 -1.669e-02 5.888e-02 -0.283 0.77687
  < 48: d_y1_d_x2 -2.956e-01 2.530e-01 -1.168 0.24269
  < 48: d_y2_d_x2 -3.276e-03 1.431e-02 -0.229 0.81889
  < 48: d_y3_d_x2 1.785e-02 6.691e-02 0.267 0.78961
  < 49: d_y1_d_x1 1.537e-01 2.741e-01 0.561 0.57511
  < 49: d_y2_d_x1 3.554e-01 2.700e-01 1.316 0.18809
  < 49: d_y3_d_x1 -2.305e-01 3.552e-01 -0.649 0.51642
  < 49: d_y1_d_x2 -2.663e-02 1.101e-01 -0.242 0.80892
  < 49: d_y2_d_x2 -5.626e-01 2.253e-01 -2.497 0.01252 *
  < 49: d_y3_d_x2 5.044e-01 2.935e-01 1.719 0.08563 .
  < 50: d_y1_d_x1 4.707e-02 1.891e-01 0.249 0.80342
  < 50: d_y2_d_x1 1.641e-01 1.771e-01 0.927 0.35401
  < 50: d_y3_d_x1 -9.796e-02 2.353e-01 -0.416 0.67712
  < 50: d_y1_d_x2 -8.750e-02 1.961e-01 -0.446 0.65540
  < 50: d_y2_d_x2 -4.511e-01 2.142e-01 -2.105 0.03525 *
  < 50: d_y3_d_x2 3.324e-01 3.224e-01 1.031 0.30262
  ---
  > 1: d_y1_d_x1 0.3229492 0.1969184 1.640 0.10100
  > 1: d_y2_d_x1 0.3836677 0.2615002 1.467 0.14233
  > 1: d_y3_d_x1 -0.3169556 0.2944299 -1.077 0.28170
  > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
  > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
  > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
  > 2: d_y1_d_x1 0.2429446 0.2037656 1.192 0.23315
  > 2: d_y2_d_x1 0.3993798 0.3154487 1.266 0.20549
  > 2: d_y3_d_x1 -0.3301446 0.3079400 -1.072 0.28367
  > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
  > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
  > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
  > 3: d_y1_d_x1 0.2388602 0.2048984 1.166 0.24372
  > 3: d_y2_d_x1 0.3982789 0.3163614 1.259 0.20805
  > 3: d_y3_d_x1 -0.3297836 0.3073036 -1.073 0.28320
  > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
  > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
  > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
  > 4: d_y1_d_x1 0.4010840 0.2737181 1.465 0.14283
  > 4: d_y2_d_x1 0.0557836 0.1120191 0.498 0.61850
  > 4: d_y3_d_x1 -0.0842058 0.1161738 -0.725 0.46856
  > 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 0.1883227 0.2178782 0.864 0.38740
  > 5: d_y2_d_x1 0.3691077 0.3092617 1.194 0.23267
  > 5: d_y3_d_x1 -0.3165704 0.2885639 -1.097 0.27262
  > 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 0.3702088 0.2479950 1.493 0.13549
  > 6: d_y2_d_x1 0.0348830 0.0858155 0.406 0.68438
  > 6: d_y3_d_x1 -0.0614131 0.1004444 -0.611 0.54093
  > 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 0.0103208 0.0578293 0.178 0.85835
  > 7: d_y2_d_x1 0.0220459 0.0389256 0.566 0.57115
  > 7: d_y3_d_x1 -0.0531236 0.0945413 -0.562 0.57418
  > 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 0.4007101 0.2513387 1.594 0.11087
  > 8: d_y2_d_x1 0.2907940 0.1839648 1.581 0.11395
  > 8: d_y3_d_x1 -0.2596189 0.2327124 -1.116 0.26458
  > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
  > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
  > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
  > 9: d_y1_d_x1 0.2866645 0.1948097 1.472 0.14115
  > 9: d_y2_d_x1 0.3996281 0.2934836 1.362 0.17330
  > 9: d_y3_d_x1 -0.3277370 0.3066371 -1.069 0.28516
  > 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 0.3126554 0.1950652 1.603 0.10897
  > 10: d_y2_d_x1 0.3897239 0.2715355 1.435 0.15121
  > 10: d_y3_d_x1 -0.3208544 0.2989128 -1.073 0.28309
  > 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 0.3559815 0.2109879 1.687 0.09156 .
  > 11: d_y2_d_x1 0.3554683 0.2265475 1.569 0.11663
  > 11: d_y3_d_x1 -0.2994680 0.2745089 -1.091 0.27531
  > 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 0.1219655 0.2167209 0.563 0.57359
  > 12: d_y2_d_x1 0.2849034 0.2455108 1.160 0.24586
  > 12: d_y3_d_x1 -0.2706624 0.2345246 -1.154 0.24846
  > 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 0.1607955 0.2212149 0.727 0.46730
  > 13: d_y2_d_x1 0.3407304 0.2902802 1.174 0.24048
  > 13: d_y3_d_x1 -0.3019451 0.2699648 -1.118 0.26337
  > 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 *
  > 14: d_y1_d_x1 0.0425054 0.1438735 0.295 0.76766
  > 14: d_y2_d_x1 0.1103218 0.1084386 1.017 0.30898
  > 14: d_y3_d_x1 -0.1487970 0.1464968 -1.016 0.30977
  > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
  > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
  > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
  > 15: d_y1_d_x1 0.0374443 0.1341184 0.279 0.78010
  > 15: d_y2_d_x1 0.0966391 0.0989303 0.977 0.32865
  > 15: d_y3_d_x1 -0.1367612 0.1410156 -0.970 0.33213
  > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
  > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
  > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
  > 16: d_y1_d_x1 0.3364459 0.2011069 1.673 0.09433 .
  > 16: d_y2_d_x1 0.3738146 0.2475442 1.510 0.13102
  > 16: d_y3_d_x1 -0.3107708 0.2873205 -1.082 0.27942
  > 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 0.3723866 0.2229194 1.670 0.09482 .
  > 17: d_y2_d_x1 0.3359156 0.2092497 1.605 0.10842
  > 17: d_y3_d_x1 -0.2875002 0.2613449 -1.100 0.27130
  > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
  > 17: d_y2_d_x2 -0.6256261 0.2720114 -2.300 0.02145 *
  > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
  > 18: d_y1_d_x1 0.2663399 0.1979782 1.345 0.17853
  > 18: d_y2_d_x1 0.4021326 0.3063279 1.313 0.18927
  > 18: d_y3_d_x1 -0.3302751 0.3090795 -1.069 0.28526
  > 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 0.4376430 0.3057075 1.432 0.15227
  > 19: d_y2_d_x1 0.1696360 0.1652745 1.026 0.30471
  > 19: d_y3_d_x1 -0.1789464 0.1684535 -1.062 0.28810
  > 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 *
  > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
  > 20: d_y1_d_x1 0.2241586 0.2203192 1.017 0.30895
  > 20: d_y2_d_x1 0.0042037 0.0189008 0.222 0.82400
  > 20: d_y3_d_x1 -0.0149535 0.0440352 -0.340 0.73417
  > 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 0.1243686 0.2174053 0.572 0.56728
  > 21: d_y2_d_x1 0.2889116 0.2488541 1.161 0.24565
  > 21: d_y3_d_x1 -0.2730094 0.2369908 -1.152 0.24933
  > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
  > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
  > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
  > 22: d_y1_d_x1 0.0007459 0.0072977 0.102 0.91859
  > 22: d_y2_d_x1 0.0006998 0.0029467 0.237 0.81229
  > 22: d_y3_d_x1 -0.0057940 0.0229384 -0.253 0.80058
  > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
  > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
  > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
  > 23: d_y1_d_x1 0.4382229 0.3090674 1.418 0.15622
  > 23: d_y2_d_x1 0.1426446 0.1604881 0.889 0.37410
  > 23: d_y3_d_x1 -0.1589837 0.1565509 -1.016 0.30985
  > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
  > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
  > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
  > 24: d_y1_d_x1 0.0830536 0.1955292 0.425 0.67101
  > 24: d_y2_d_x1 0.2095390 0.1829217 1.146 0.25200
  > 24: d_y3_d_x1 -0.2234026 0.1914376 -1.167 0.24322
  > 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 0.0865904 0.1983706 0.437 0.66247
  > 25: d_y2_d_x1 0.2172090 0.1891481 1.148 0.25082
  > 25: d_y3_d_x1 -0.2285086 0.1954931 -1.169 0.24245
  > 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 0.4378383 0.3091474 1.416 0.15669
  > 26: d_y2_d_x1 0.1365703 0.1589866 0.859 0.39034
  > 26: d_y3_d_x1 -0.1543408 0.1539501 -1.003 0.31608
  > 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 0.1729600 0.2202574 0.785 0.43230
  > 27: d_y2_d_x1 0.3543882 0.3000078 1.181 0.23750
  > 27: d_y3_d_x1 -0.3091116 0.2788965 -1.108 0.26772
  > 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 0.0257894 0.1073759 0.240 0.81019
  > 28: d_y2_d_x1 0.0644472 0.0761722 0.846 0.39751
  > 28: d_y3_d_x1 -0.1055972 0.1270193 -0.831 0.40578
  > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
  > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
  > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
  > 29: d_y1_d_x1 0.3029664 0.1942862 1.559 0.11891
  > 29: d_y2_d_x1 0.3943070 0.2803474 1.406 0.15958
  > 29: d_y3_d_x1 -0.3239068 0.3023941 -1.071 0.28411
  > 29: d_y1_d_x2 -0.4316377 0.2971846 -1.452 0.14638
  > 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 0.2118732 0.2124133 0.997 0.31854
  > 30: d_y2_d_x1 0.3863182 0.3169271 1.219 0.22286
  > 30: d_y3_d_x1 -0.3247953 0.2998024 -1.083 0.27865
  > 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 0.2527667 0.2011528 1.257 0.20890
  > 31: d_y2_d_x1 0.4012708 0.3124087 1.284 0.19899
  > 31: d_y3_d_x1 -0.3305991 0.3089367 -1.070 0.28457
  > 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 .
  > 31: d_y3_d_x2 0.4562932 0.2183185 2.090 0.03661 *
  > 32: d_y1_d_x1 0.3573774 0.2118731 1.687 0.09165 .
  > 32: d_y2_d_x1 0.3539601 0.2250456 1.573 0.11576
  > 32: d_y3_d_x1 -0.2985441 0.2734764 -1.092 0.27498
  > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
  > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
  > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
  > 33: d_y1_d_x1 0.1516903 0.2212870 0.685 0.49303
  > 33: d_y2_d_x1 0.3293285 0.2816236 1.169 0.24225
  > 33: d_y3_d_x1 -0.2958065 0.2625654 -1.127 0.25991
  > 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 0.4109694 0.2640717 1.556 0.11964
  > 34: d_y2_d_x1 0.2693770 0.1773855 1.519 0.12886
  > 34: d_y3_d_x1 -0.2461064 0.2199809 -1.119 0.26324
  > 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 0.1897255 0.2176062 0.872 0.38328
  > 35: d_y2_d_x1 0.3703130 0.3099381 1.195 0.23217
  > 35: d_y3_d_x1 -0.3171667 0.2893553 -1.096 0.27303
  > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
  > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
  > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
  > 36: d_y1_d_x1 0.3438410 0.2043023 1.683 0.09237 .
  > 36: d_y2_d_x1 0.3674585 0.2396459 1.533 0.12519
  > 36: d_y3_d_x1 -0.3068357 0.2828260 -1.085 0.27797
  > 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 0.4348121 0.3071966 1.415 0.15695
  > 37: d_y2_d_x1 0.1159358 0.1523350 0.761 0.44662
  > 37: d_y3_d_x1 -0.1380751 0.1452016 -0.951 0.34164
  > 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 0.3693685 0.2204735 1.675 0.09387 .
  > 38: d_y2_d_x1 0.3398245 0.2123516 1.600 0.10953
  > 38: d_y3_d_x1 -0.2898933 0.2639391 -1.098 0.27206
  > 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 0.1625955 0.2211322 0.735 0.46217
  > 39: d_y2_d_x1 0.3428643 0.2918528 1.175 0.24008
  > 39: d_y3_d_x1 -0.3030787 0.2713560 -1.117 0.26404
  > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
  > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
  > 39: d_y3_d_x2 0.5024991 0.2713680 1.852 0.06407 .
  > 40: d_y1_d_x1 0.4310083 0.3036672 1.419 0.15580
  > 40: d_y2_d_x1 0.1021310 0.1462658 0.698 0.48502
  > 40: d_y3_d_x1 -0.1266963 0.1392940 -0.910 0.36305
  > 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 0.4383603 0.3088804 1.419 0.15584
  > 41: d_y2_d_x1 0.1464601 0.1613405 0.908 0.36400
  > 41: d_y3_d_x1 -0.1618696 0.1581962 -1.023 0.30620
  > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
  > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
  > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
  > 42: d_y1_d_x1 0.3938190 0.2435193 1.617 0.10584
  > 42: d_y2_d_x1 0.3033933 0.1892822 1.603 0.10897
  > 42: d_y3_d_x1 -0.2674705 0.2404638 -1.112 0.26600
  > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
  > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
  > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
  > 43: d_y1_d_x1 0.3189542 0.1960673 1.627 0.10379
  > 43: d_y2_d_x1 0.3861652 0.2654683 1.455 0.14576
  > 43: d_y3_d_x1 -0.3185505 0.2962658 -1.075 0.28228
  > 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 0.0971787 0.2056705 0.472 0.63657
  > 44: d_y2_d_x1 0.2391890 0.2072537 1.154 0.24846
  > 44: d_y3_d_x1 -0.2427451 0.2075624 -1.170 0.24220
  > 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
  > 45: d_y1_d_x1 0.4025241 0.2750818 1.463 0.14339
  > 45: d_y2_d_x1 0.0571279 0.1134119 0.504 0.61446
  > 45: d_y3_d_x1 -0.0855674 0.1170016 -0.731 0.46457
  > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
  > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
  > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
  > 46: d_y1_d_x1 0.1023270 0.2086179 0.490 0.62378
  > 46: d_y2_d_x1 0.2493443 0.2157179 1.156 0.24773
  > 46: d_y3_d_x1 -0.2491363 0.2133487 -1.168 0.24291
  > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
  > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
  > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
  > 47: d_y1_d_x1 0.1866549 0.2239000 0.834 0.40448
  > 47: d_y2_d_x1 0.0021906 0.0112184 0.195 0.84518
  > 47: d_y3_d_x1 -0.0097002 0.0326790 -0.297 0.76660
  > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
  > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
  > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
  > 48: d_y1_d_x1 0.3664196 0.2453495 1.493 0.13532
  > 48: d_y2_d_x1 0.0330393 0.0830093 0.398 0.69062
  > 48: d_y3_d_x1 -0.0592154 0.0986854 -0.600 0.54848
  > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
  > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
  > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
  > 49: d_y1_d_x1 0.1856984 0.2183644 0.850 0.39510
  > 49: d_y2_d_x1 0.3667908 0.3079205 1.191 0.23358
  > 49: d_y3_d_x1 -0.3154174 0.2870419 -1.099 0.27183
  > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
  > 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 0.0417272 0.1424363 0.293 0.76956
  > 50: d_y2_d_x1 0.1082331 0.1069829 1.012 0.31169
  > 50: d_y3_d_x1 -0.1469973 0.1456618 -1.009 0.31289
  > 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 *
  1211,1510c1213,1512
  < 1: d_y1_d_x1 4.436e-01 5.798e-01 0.765 0.44427
  < 1: d_y2_d_x1 1.771e-01 8.113e-02 2.183 0.02901 *
  < 1: d_y3_d_x1 -1.741e-01 1.679e-01 -1.037 0.29977
  < 1: d_y1_d_x2 -2.976e-01 2.455e-01 -1.212 0.22544
  < 1: d_y2_d_x2 -3.054e-01 2.125e-01 -1.437 0.15059
  < 1: d_y3_d_x2 4.181e-01 3.424e-01 1.221 0.22206
  < 2: d_y1_d_x1 3.765e-01 5.390e-01 0.699 0.48483
  < 2: d_y2_d_x1 2.756e-01 1.235e-01 2.232 0.02560 *
  < 2: d_y3_d_x1 -2.214e-01 2.670e-01 -0.829 0.40699
  < 2: d_y1_d_x2 -2.526e-01 1.492e-01 -1.693 0.09044 .
  < 2: d_y2_d_x2 -4.752e-01 2.331e-01 -2.038 0.04154 *
  < 2: d_y3_d_x2 5.315e-01 3.770e-01 1.410 0.15856
  < 3: d_y1_d_x1 5.714e-02 1.881e-01 0.304 0.76134
  < 3: d_y2_d_x1 3.620e-01 2.814e-01 1.286 0.19829
  < 3: d_y3_d_x1 -2.327e-01 3.461e-01 -0.672 0.50138
  < 3: d_y1_d_x2 -3.834e-02 1.366e-01 -0.281 0.77890
  < 3: d_y2_d_x2 -6.241e-01 2.741e-01 -2.277 0.02277 *
  < 3: d_y3_d_x2 5.586e-01 3.521e-01 1.587 0.11260
  < 4: d_y1_d_x1 3.520e-01 2.009e-01 1.752 0.07984 .
  < 4: d_y2_d_x1 4.397e-02 9.396e-02 0.468 0.63977
  < 4: d_y3_d_x1 -4.730e-02 1.440e-01 -0.328 0.74256
  < 4: d_y1_d_x2 -2.362e-01 3.917e-01 -0.603 0.54658
  < 4: d_y2_d_x2 -7.582e-02 1.294e-01 -0.586 0.55807
  < 4: d_y3_d_x2 1.136e-01 2.083e-01 0.545 0.58560
  < 5: d_y1_d_x1 4.046e-02 1.594e-01 0.254 0.79956
  < 5: d_y2_d_x1 3.288e-01 2.330e-01 1.411 0.15825
  < 5: d_y3_d_x1 -2.116e-01 3.124e-01 -0.677 0.49817
  < 5: d_y1_d_x2 -2.715e-02 1.116e-01 -0.243 0.80784
  < 5: d_y2_d_x2 -5.670e-01 2.286e-01 -2.480 0.01314 *
  < 5: d_y3_d_x2 5.080e-01 2.977e-01 1.706 0.08792 .
  < 6: d_y1_d_x1 3.905e-01 2.426e-01 1.610 0.10746
  < 6: d_y2_d_x1 2.633e-02 6.734e-02 0.391 0.69578
  < 6: d_y3_d_x1 -3.154e-02 1.110e-01 -0.284 0.77620
  < 6: d_y1_d_x2 -2.620e-01 4.208e-01 -0.623 0.53352
  < 6: d_y2_d_x2 -4.540e-02 9.832e-02 -0.462 0.64424
  < 6: d_y3_d_x2 7.573e-02 1.793e-01 0.422 0.67273
  < 7: d_y1_d_x1 1.576e-03 1.581e-02 0.100 0.92063
  < 7: d_y2_d_x1 1.317e-02 3.391e-02 0.388 0.69767
  < 7: d_y3_d_x1 -1.360e-02 4.823e-02 -0.282 0.77801
  < 7: d_y1_d_x2 -1.057e-03 1.037e-02 -0.102 0.91880
  < 7: d_y2_d_x2 -2.271e-02 5.658e-02 -0.401 0.68811
  < 7: d_y3_d_x2 3.264e-02 8.534e-02 0.383 0.70208
  < 8: d_y1_d_x1 4.982e-01 6.296e-01 0.791 0.42872
  < 8: d_y2_d_x1 8.146e-02 8.427e-02 0.967 0.33368
  < 8: d_y3_d_x1 -1.065e-01 1.101e-01 -0.967 0.33377
  < 8: d_y1_d_x2 -3.343e-01 3.504e-01 -0.954 0.34010
  < 8: d_y2_d_x2 -1.405e-01 1.753e-01 -0.801 0.42297
  < 8: d_y3_d_x2 2.556e-01 2.843e-01 0.899 0.36876
  < 9: d_y1_d_x1 4.145e-01 5.591e-01 0.741 0.45852
  < 9: d_y2_d_x1 2.225e-01 8.734e-02 2.547 0.01085 *
  < 9: d_y3_d_x1 -1.984e-01 2.100e-01 -0.945 0.34479
  < 9: d_y1_d_x2 -2.781e-01 1.981e-01 -1.404 0.16028
  < 9: d_y2_d_x2 -3.836e-01 2.194e-01 -1.749 0.08031 .
  < 9: d_y3_d_x2 4.764e-01 3.628e-01 1.313 0.18915
  < 10: d_y1_d_x1 4.355e-01 5.736e-01 0.759 0.44770
  < 10: d_y2_d_x1 1.900e-01 8.112e-02 2.342 0.01916 *
  < 10: d_y3_d_x1 -1.815e-01 1.792e-01 -1.013 0.31110
  < 10: d_y1_d_x2 -2.922e-01 2.316e-01 -1.262 0.20709
  < 10: d_y2_d_x2 -3.276e-01 2.143e-01 -1.528 0.12641
  < 10: d_y3_d_x2 4.357e-01 3.487e-01 1.249 0.21150
  < 11: d_y1_d_x1 1.152e-01 2.337e-01 0.493 0.62193
  < 11: d_y2_d_x1 3.269e-01 2.882e-01 1.134 0.25665
  < 11: d_y3_d_x1 -2.224e-01 3.501e-01 -0.635 0.52524
  < 11: d_y1_d_x2 -7.731e-02 1.996e-01 -0.387 0.69849
  < 11: d_y2_d_x2 -5.636e-01 1.967e-01 -2.865 0.00417 **
  < 11: d_y3_d_x2 5.340e-01 2.546e-01 2.097 0.03600 *
  < 12: d_y1_d_x1 2.289e-02 1.151e-01 0.199 0.84233
  < 12: d_y2_d_x1 2.421e-01 1.507e-01 1.607 0.10810
  < 12: d_y3_d_x1 -1.608e-01 2.439e-01 -0.659 0.50980
  < 12: d_y1_d_x2 -1.536e-02 7.808e-02 -0.197 0.84406
  < 12: d_y2_d_x2 -4.174e-01 1.434e-01 -2.910 0.00361 **
  < 12: d_y3_d_x2 3.860e-01 1.701e-01 2.269 0.02324 *
  < 13: d_y1_d_x1 3.265e-02 1.422e-01 0.230 0.81835
  < 13: d_y2_d_x1 2.987e-01 1.991e-01 1.501 0.13342
  < 13: d_y3_d_x1 -1.938e-01 2.869e-01 -0.675 0.49940
  < 13: d_y1_d_x2 -2.191e-02 9.813e-02 -0.223 0.82333
  < 13: d_y2_d_x2 -5.151e-01 1.909e-01 -2.698 0.00697 **
  < 13: d_y3_d_x2 4.653e-01 2.486e-01 1.872 0.06126 .
  < 14: d_y1_d_x1 6.776e-03 5.000e-02 0.136 0.89221
  < 14: d_y2_d_x1 8.142e-02 9.062e-02 0.898 0.36892
  < 14: d_y3_d_x1 -6.307e-02 1.302e-01 -0.484 0.62821
  < 14: d_y1_d_x2 -4.546e-03 3.308e-02 -0.137 0.89068
  < 14: d_y2_d_x2 -1.404e-01 1.386e-01 -1.013 0.31121
  < 14: d_y3_d_x2 1.514e-01 1.419e-01 1.067 0.28583
  < 15: d_y1_d_x1 1.221e-01 4.168e-01 0.293 0.76958
  < 15: d_y2_d_x1 2.458e-01 3.017e-01 0.815 0.41516
  < 15: d_y3_d_x1 -1.290e-01 3.474e-01 -0.371 0.71028
  < 15: d_y1_d_x2 -8.192e-02 1.958e-01 -0.418 0.67564
  < 15: d_y2_d_x2 -4.238e-01 2.160e-01 -1.963 0.04970 *
  < 15: d_y3_d_x2 3.098e-01 3.288e-01 0.942 0.34606
  < 16: d_y1_d_x1 1.026e-01 2.290e-01 0.448 0.65432
  < 16: d_y2_d_x1 3.443e-01 2.976e-01 1.157 0.24740
  < 16: d_y3_d_x1 -2.304e-01 3.571e-01 -0.645 0.51873
  < 16: d_y1_d_x2 -6.881e-02 1.877e-01 -0.367 0.71386
  < 16: d_y2_d_x2 -5.936e-01 2.253e-01 -2.635 0.00842 **
  < 16: d_y3_d_x2 5.532e-01 2.928e-01 1.889 0.05887 .
  < 17: d_y1_d_x1 1.275e-01 2.362e-01 0.540 0.58933
  < 17: d_y2_d_x1 3.081e-01 2.772e-01 1.112 0.26626
  < 17: d_y3_d_x1 -2.132e-01 3.415e-01 -0.624 0.53239
  < 17: d_y1_d_x2 -8.554e-02 2.104e-01 -0.407 0.68436
  < 17: d_y2_d_x2 -5.312e-01 1.713e-01 -3.101 0.00193 **
  < 17: d_y3_d_x2 5.119e-01 2.171e-01 2.358 0.01839 *
  < 18: d_y1_d_x1 3.972e-01 5.489e-01 0.724 0.46929
  < 18: d_y2_d_x1 2.476e-01 1.002e-01 2.470 0.01349 *
  < 18: d_y3_d_x1 -2.100e-01 2.360e-01 -0.890 0.37348
  < 18: d_y1_d_x2 -2.665e-01 1.738e-01 -1.533 0.12516
  < 18: d_y2_d_x2 -4.269e-01 2.245e-01 -1.901 0.05730 .
  < 18: d_y3_d_x2 5.043e-01 3.713e-01 1.358 0.17444
  < 19: d_y1_d_x1 2.329e-01 2.054e-01 1.134 0.25692
  < 19: d_y2_d_x1 1.478e-01 1.838e-01 0.804 0.42133
  < 19: d_y3_d_x1 -1.222e-01 2.492e-01 -0.490 0.62401
  < 19: d_y1_d_x2 -1.563e-01 2.950e-01 -0.530 0.59635
  < 19: d_y2_d_x2 -2.548e-01 1.649e-01 -1.545 0.12229
  < 19: d_y3_d_x2 2.933e-01 1.768e-01 1.659 0.09718 .
  < 20: d_y1_d_x1 3.097e-01 4.172e-01 0.742 0.45790
  < 20: d_y2_d_x1 9.351e-05 6.448e-04 0.145 0.88469
  < 20: d_y3_d_x1 -7.945e-04 5.149e-03 -0.154 0.87736
  < 20: d_y1_d_x2 -2.078e-01 1.186e-01 -1.752 0.07969 .
  < 20: d_y2_d_x2 -1.612e-04 1.119e-03 -0.144 0.88544
  < 20: d_y3_d_x2 1.908e-03 1.188e-02 0.161 0.87243
  < 21: d_y1_d_x1 2.528e-01 5.037e-01 0.502 0.61575
  < 21: d_y2_d_x1 3.681e-01 2.949e-01 1.248 0.21201
  < 21: d_y3_d_x1 -2.300e-01 4.011e-01 -0.573 0.56632
  < 21: d_y1_d_x2 -1.696e-01 1.452e-01 -1.169 0.24256
  < 21: d_y2_d_x2 -6.346e-01 2.792e-01 -2.273 0.02300 *
  < 21: d_y3_d_x2 5.522e-01 3.047e-01 1.813 0.06989 .
  < 22: d_y1_d_x1 1.111e-02 9.650e-02 0.115 0.90832
  < 22: d_y2_d_x1 6.024e-03 2.527e-02 0.238 0.81155
  < 22: d_y3_d_x1 -3.684e-03 2.647e-02 -0.139 0.88930
  < 22: d_y1_d_x2 -7.457e-03 5.816e-02 -0.128 0.89798
  < 22: d_y2_d_x2 -1.039e-02 3.880e-02 -0.268 0.78893
  < 22: d_y3_d_x2 8.845e-03 5.160e-02 0.171 0.86390
  < 23: d_y1_d_x1 5.127e-01 6.232e-01 0.823 0.41066
  < 23: d_y2_d_x1 2.032e-02 4.526e-02 0.449 0.65345
  < 23: d_y3_d_x1 -4.105e-02 7.907e-02 -0.519 0.60367
  < 23: d_y1_d_x2 -3.440e-01 3.851e-01 -0.893 0.37169
  < 23: d_y2_d_x2 -3.504e-02 8.308e-02 -0.422 0.67323
  < 23: d_y3_d_x2 9.855e-02 1.926e-01 0.512 0.60898
  < 24: d_y1_d_x1 1.981e-01 4.829e-01 0.410 0.68158
  < 24: d_y2_d_x1 3.496e-01 3.308e-01 1.057 0.29063
  < 24: d_y3_d_x1 -2.009e-01 4.110e-01 -0.489 0.62497
  < 24: d_y1_d_x2 -1.329e-01 1.777e-01 -0.748 0.45436
  < 24: d_y2_d_x2 -6.028e-01 2.494e-01 -2.417 0.01567 *
  < 24: d_y3_d_x2 4.823e-01 2.758e-01 1.749 0.08031 .
  < 25: d_y1_d_x1 2.032e-01 4.857e-01 0.418 0.67571
  < 25: d_y2_d_x1 3.532e-01 3.293e-01 1.073 0.28347
  < 25: d_y3_d_x1 -2.044e-01 4.118e-01 -0.496 0.61958
  < 25: d_y1_d_x2 -1.363e-01 1.753e-01 -0.778 0.43665
  < 25: d_y2_d_x2 -6.090e-01 2.534e-01 -2.404 0.01622 *
  < 25: d_y3_d_x2 4.908e-01 2.758e-01 1.780 0.07512 .
  < 26: d_y1_d_x1 5.118e-01 6.202e-01 0.825 0.40930
  < 26: d_y2_d_x1 1.882e-02 4.319e-02 0.436 0.66294
  < 26: d_y3_d_x1 -3.889e-02 7.717e-02 -0.504 0.61427
  < 26: d_y1_d_x2 -3.434e-01 3.834e-01 -0.896 0.37042
  < 26: d_y2_d_x2 -3.246e-02 7.905e-02 -0.411 0.68138
  < 26: d_y3_d_x2 9.337e-02 1.875e-01 0.498 0.61843
  < 27: d_y1_d_x1 3.601e-02 1.497e-01 0.241 0.80993
  < 27: d_y2_d_x1 3.131e-01 2.145e-01 1.460 0.14437
  < 27: d_y3_d_x1 -2.022e-01 2.987e-01 -0.677 0.49844
  < 27: d_y1_d_x2 -2.416e-02 1.039e-01 -0.232 0.81618
  < 27: d_y2_d_x2 -5.398e-01 2.081e-01 -2.593 0.00950 **
  < 27: d_y3_d_x2 4.855e-01 2.716e-01 1.788 0.07384 .
  < 28: d_y1_d_x1 3.983e-03 3.367e-02 0.118 0.90583
  < 28: d_y2_d_x1 4.422e-02 6.988e-02 0.633 0.52691
  < 28: d_y3_d_x1 -3.763e-02 9.481e-02 -0.397 0.69148
  < 28: d_y1_d_x2 -2.673e-03 2.219e-02 -0.120 0.90414
  < 28: d_y2_d_x2 -7.624e-02 1.129e-01 -0.675 0.49957
  < 28: d_y3_d_x2 9.033e-02 1.336e-01 0.676 0.49905
  < 29: d_y1_d_x1 4.278e-01 5.680e-01 0.753 0.45133
  < 29: d_y2_d_x1 2.021e-01 8.223e-02 2.458 0.01396 *
  < 29: d_y3_d_x1 -1.881e-01 1.903e-01 -0.988 0.32310
  < 29: d_y1_d_x2 -2.870e-01 2.189e-01 -1.311 0.18983
  < 29: d_y2_d_x2 -3.485e-01 2.162e-01 -1.612 0.10689
  < 29: d_y3_d_x2 4.515e-01 3.542e-01 1.275 0.20236
  < 30: d_y1_d_x1 4.782e-02 1.737e-01 0.275 0.78308
  < 30: d_y2_d_x1 3.478e-01 2.584e-01 1.346 0.17831
  < 30: d_y3_d_x1 -2.233e-01 3.303e-01 -0.676 0.49899
  < 30: d_y1_d_x2 -3.209e-02 1.235e-01 -0.260 0.79495
  < 30: d_y2_d_x2 -5.997e-01 2.550e-01 -2.352 0.01869 *
  < 30: d_y3_d_x2 5.361e-01 3.297e-01 1.626 0.10391
  < 31: d_y1_d_x1 6.237e-02 1.955e-01 0.319 0.74975
  < 31: d_y2_d_x1 3.661e-01 2.903e-01 1.261 0.20721
  < 31: d_y3_d_x1 -2.359e-01 3.521e-01 -0.670 0.50299
  < 31: d_y1_d_x2 -4.185e-02 1.437e-01 -0.291 0.77079
  < 31: d_y2_d_x2 -6.312e-01 2.785e-01 -2.267 0.02341 *
  < 31: d_y3_d_x2 5.663e-01 3.573e-01 1.585 0.11298
  < 32: d_y1_d_x1 4.692e-01 6.019e-01 0.779 0.43571
  < 32: d_y2_d_x1 1.344e-01 8.520e-02 1.577 0.11468
  < 32: d_y3_d_x1 -1.471e-01 1.361e-01 -1.081 0.27989
  < 32: d_y1_d_x2 -3.148e-01 2.922e-01 -1.077 0.28132
  < 32: d_y2_d_x2 -2.317e-01 2.032e-01 -1.140 0.25415
  < 32: d_y3_d_x2 3.531e-01 3.192e-01 1.106 0.26860
  < 33: d_y1_d_x1 3.024e-02 1.359e-01 0.223 0.82390
  < 33: d_y2_d_x1 2.869e-01 1.874e-01 1.531 0.12565
  < 33: d_y3_d_x1 -1.869e-01 2.775e-01 -0.673 0.50069
  < 33: d_y1_d_x2 -2.029e-02 9.340e-02 -0.217 0.82803
  < 33: d_y2_d_x2 -4.947e-01 1.781e-01 -2.779 0.00546 **
  < 33: d_y3_d_x2 4.487e-01 2.302e-01 1.949 0.05132 .
  < 34: d_y1_d_x1 1.670e-01 2.326e-01 0.718 0.47290
  < 34: d_y2_d_x1 2.436e-01 2.392e-01 1.018 0.30858
  < 34: d_y3_d_x1 -1.792e-01 3.082e-01 -0.581 0.56105
  < 34: d_y1_d_x2 -1.120e-01 2.429e-01 -0.461 0.64466
  < 34: d_y2_d_x2 -4.200e-01 1.336e-01 -3.144 0.00166 **
  < 34: d_y3_d_x2 4.301e-01 1.310e-01 3.283 0.00103 **
  < 35: d_y1_d_x1 4.088e-02 1.604e-01 0.255 0.79886
  < 35: d_y2_d_x1 3.301e-01 2.347e-01 1.407 0.15950
  < 35: d_y3_d_x1 -2.124e-01 3.135e-01 -0.677 0.49815
  < 35: d_y1_d_x2 -2.743e-02 1.125e-01 -0.244 0.80731
  < 35: d_y2_d_x2 -5.692e-01 2.306e-01 -2.468 0.01357 *
  < 35: d_y3_d_x2 5.099e-01 2.999e-01 1.701 0.08902 .
  < 36: d_y1_d_x1 1.071e-01 2.307e-01 0.464 0.64241
  < 36: d_y2_d_x1 3.383e-01 2.945e-01 1.149 0.25070
  < 36: d_y3_d_x1 -2.277e-01 3.548e-01 -0.642 0.52103
  < 36: d_y1_d_x2 -7.189e-02 1.919e-01 -0.375 0.70800
  < 36: d_y2_d_x2 -5.833e-01 2.149e-01 -2.714 0.00664 **
  < 36: d_y3_d_x2 5.467e-01 2.793e-01 1.957 0.05029 .
  < 37: d_y1_d_x1 2.787e-01 1.868e-01 1.492 0.13576
  < 37: d_y2_d_x1 9.767e-02 1.487e-01 0.657 0.51129
  < 37: d_y3_d_x1 -8.853e-02 2.087e-01 -0.424 0.67141
  < 37: d_y1_d_x2 -1.870e-01 3.321e-01 -0.563 0.57342
  < 37: d_y2_d_x2 -1.684e-01 1.684e-01 -1.000 0.31733
  < 37: d_y3_d_x2 2.125e-01 2.150e-01 0.988 0.32298
  < 38: d_y1_d_x1 4.776e-01 6.099e-01 0.783 0.43351
  < 38: d_y2_d_x1 1.197e-01 8.634e-02 1.386 0.16565
  < 38: d_y3_d_x1 -1.367e-01 1.274e-01 -1.073 0.28327
  < 38: d_y1_d_x2 -3.205e-01 3.086e-01 -1.039 0.29902
  < 38: d_y2_d_x2 -2.064e-01 1.979e-01 -1.043 0.29709
  < 38: d_y3_d_x2 3.282e-01 3.105e-01 1.057 0.29055
  < 39: d_y1_d_x1 2.969e-01 5.145e-01 0.577 0.56394
  < 39: d_y2_d_x1 3.532e-01 2.403e-01 1.470 0.14163
  < 39: d_y3_d_x1 -2.387e-01 3.676e-01 -0.649 0.51609
  < 39: d_y1_d_x2 -1.992e-01 1.224e-01 -1.628 0.10355
  < 39: d_y2_d_x2 -6.091e-01 2.750e-01 -2.215 0.02678 *
  < 39: d_y3_d_x2 5.731e-01 3.465e-01 1.654 0.09810 .
  < 40: d_y1_d_x1 5.023e-01 5.964e-01 0.842 0.39968
  < 40: d_y2_d_x1 1.145e-02 3.119e-02 0.367 0.71362
  < 40: d_y3_d_x1 -2.732e-02 6.499e-02 -0.420 0.67426
  < 40: d_y1_d_x2 -3.370e-01 3.655e-01 -0.922 0.35651
  < 40: d_y2_d_x2 -1.974e-02 5.624e-02 -0.351 0.72566
  < 40: d_y3_d_x2 6.559e-02 1.553e-01 0.422 0.67271
  < 41: d_y1_d_x1 5.133e-01 6.250e-01 0.821 0.41148
  < 41: d_y2_d_x1 2.129e-02 4.656e-02 0.457 0.64748
  < 41: d_y3_d_x1 -4.242e-02 8.014e-02 -0.529 0.59659
  < 41: d_y1_d_x2 -3.444e-01 3.861e-01 -0.892 0.37235
  < 41: d_y2_d_x2 -3.671e-02 8.563e-02 -0.429 0.66814
  < 41: d_y3_d_x2 1.018e-01 1.958e-01 0.520 0.60294
  < 42: d_y1_d_x1 4.939e-01 6.255e-01 0.790 0.42972
  < 42: d_y2_d_x1 8.989e-02 8.560e-02 1.050 0.29364
  < 42: d_y3_d_x1 -1.136e-01 1.133e-01 -1.002 0.31632
  < 42: d_y1_d_x2 -3.314e-01 3.414e-01 -0.971 0.33173
  < 42: d_y2_d_x2 -1.550e-01 1.817e-01 -0.853 0.39363
  < 42: d_y3_d_x2 2.727e-01 2.909e-01 0.937 0.34863
  < 43: d_y1_d_x1 4.405e-01 5.774e-01 0.763 0.44558
  < 43: d_y2_d_x1 1.821e-01 8.101e-02 2.248 0.02456 *
  < 43: d_y3_d_x1 -1.770e-01 1.722e-01 -1.028 0.30394
  < 43: d_y1_d_x2 -2.955e-01 2.400e-01 -1.231 0.21823
  < 43: d_y2_d_x2 -3.140e-01 2.133e-01 -1.472 0.14090
  < 43: d_y3_d_x2 4.250e-01 3.449e-01 1.232 0.21782
  < 44: d_y1_d_x1 1.734e-02 9.593e-02 0.181 0.85656
  < 44: d_y2_d_x1 1.976e-01 1.260e-01 1.569 0.11661
  < 44: d_y3_d_x1 -1.347e-01 2.127e-01 -0.633 0.52658
  < 44: d_y1_d_x2 -1.163e-02 6.449e-02 -0.180 0.85684
  < 44: d_y2_d_x2 -3.408e-01 1.334e-01 -2.555 0.01063 *
  < 44: d_y3_d_x2 3.234e-01 1.327e-01 2.438 0.01477 *
  < 45: d_y1_d_x1 3.499e-01 1.993e-01 1.755 0.07925 .
  < 45: d_y2_d_x1 4.513e-02 9.548e-02 0.473 0.63642
  < 45: d_y3_d_x1 -4.828e-02 1.458e-01 -0.331 0.74061
  < 45: d_y1_d_x2 -2.348e-01 3.900e-01 -0.602 0.54727
  < 45: d_y2_d_x2 -7.782e-02 1.310e-01 -0.594 0.55257
  < 45: d_y3_d_x2 1.159e-01 2.095e-01 0.553 0.58012
  < 46: d_y1_d_x1 2.248e-01 4.949e-01 0.454 0.64971
  < 46: d_y2_d_x1 3.642e-01 3.185e-01 1.143 0.25289
  < 46: d_y3_d_x1 -2.176e-01 4.111e-01 -0.529 0.59655
  < 46: d_y1_d_x2 -1.508e-01 1.628e-01 -0.926 0.35431
  < 46: d_y2_d_x2 -6.279e-01 2.681e-01 -2.342 0.01917 *
  < 46: d_y3_d_x2 5.224e-01 2.829e-01 1.847 0.06475 .
  < 47: d_y1_d_x1 2.727e-01 4.168e-01 0.654 0.51295
  < 47: d_y2_d_x1 3.754e-05 2.886e-04 0.130 0.89649
  < 47: d_y3_d_x1 -4.001e-04 2.894e-03 -0.138 0.89004
  < 47: d_y1_d_x2 -1.830e-01 1.260e-01 -1.452 0.14647
  < 47: d_y2_d_x2 -6.473e-05 5.000e-04 -0.129 0.89699
  < 47: d_y3_d_x2 9.606e-04 6.664e-03 0.144 0.88537
  < 48: d_y1_d_x1 4.405e-01 4.923e-01 0.895 0.37091
  < 48: d_y2_d_x1 1.900e-03 8.139e-03 0.233 0.81539
  < 48: d_y3_d_x1 -7.436e-03 2.875e-02 -0.259 0.79591
  < 48: d_y1_d_x2 -2.956e-01 2.530e-01 -1.168 0.24269
  < 48: d_y2_d_x2 -3.276e-03 1.431e-02 -0.229 0.81889
  < 48: d_y3_d_x2 1.785e-02 6.691e-02 0.267 0.78961
  < 49: d_y1_d_x1 3.968e-02 1.574e-01 0.252 0.80098
  < 49: d_y2_d_x1 3.263e-01 2.300e-01 1.419 0.15588
  < 49: d_y3_d_x1 -2.101e-01 3.102e-01 -0.677 0.49813
  < 49: d_y1_d_x2 -2.663e-02 1.101e-01 -0.242 0.80892
  < 49: d_y2_d_x2 -5.626e-01 2.253e-01 -2.497 0.01252 *
  < 49: d_y3_d_x2 5.044e-01 2.935e-01 1.719 0.08563 .
  < 50: d_y1_d_x1 1.304e-01 4.269e-01 0.305 0.76001
  < 50: d_y2_d_x1 2.616e-01 3.097e-01 0.845 0.39832
  < 50: d_y3_d_x1 -1.384e-01 3.597e-01 -0.385 0.70034
  < 50: d_y1_d_x2 -8.750e-02 1.961e-01 -0.446 0.65540
  < 50: d_y2_d_x2 -4.511e-01 2.142e-01 -2.105 0.03525 *
  < 50: d_y3_d_x2 3.324e-01 3.224e-01 1.031 0.30262
  ---
  > 1: d_y1_d_x1 0.4492866 0.3540597 1.269 0.20446
  > 1: d_y2_d_x1 0.2935576 0.1311406 2.238 0.02519 *
  > 1: d_y3_d_x1 -0.2616568 0.1797334 -1.456 0.14545
  > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
  > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
  > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
  > 2: d_y1_d_x1 0.3940224 0.3132860 1.258 0.20850
  > 2: d_y2_d_x1 0.3878021 0.2306484 1.681 0.09269 .
  > 2: d_y3_d_x1 -0.3179747 0.2736354 -1.162 0.24522
  > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
  > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
  > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
  > 3: d_y1_d_x1 0.1008641 0.1922854 0.525 0.59989
  > 3: d_y2_d_x1 0.3355752 0.2466029 1.361 0.17358
  > 3: d_y3_d_x1 -0.3005914 0.2316189 -1.298 0.19436
  > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
  > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
  > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
  > 4: d_y1_d_x1 0.4590369 0.3460873 1.326 0.18472
  > 4: d_y2_d_x1 0.1262490 0.1951262 0.647 0.51762
  > 4: d_y3_d_x1 -0.1506792 0.2145244 -0.702 0.48244
  > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
  > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
  > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
  > 5: d_y1_d_x1 0.0685262 0.1718947 0.399 0.69015
  > 5: d_y2_d_x1 0.2651417 0.1706556 1.554 0.12026
  > 5: d_y3_d_x1 -0.2608412 0.1682214 -1.551 0.12100
  > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
  > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
  > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
  > 6: d_y1_d_x1 0.4628921 0.3679524 1.258 0.20838
  > 6: d_y2_d_x1 0.0855760 0.1633725 0.524 0.60041
  > 6: d_y3_d_x1 -0.1167335 0.1854189 -0.630 0.52898
  > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
  > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
  > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
  > 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
  > 8: d_y3_d_x1 -0.1771091 0.1040865 -1.702 0.08884 .
  > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
  > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
  > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
  > 9: d_y1_d_x1 0.4284797 0.3354146 1.277 0.20144
  > 9: d_y2_d_x1 0.3418824 0.1591856 2.148 0.03174 *
  > 9: d_y3_d_x1 -0.2906800 0.2235404 -1.300 0.19348
  > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
  > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
  > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
  > 10: d_y1_d_x1 0.4441739 0.3492171 1.272 0.20340
  > 10: d_y2_d_x1 0.3080759 0.1350329 2.281 0.02252 *
  > 10: d_y3_d_x1 -0.2704623 0.1920952 -1.408 0.15914
  > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
  > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
  > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
  > 11: d_y1_d_x1 0.2084940 0.1733247 1.203 0.22901
  > 11: d_y2_d_x1 0.4208561 0.3524522 1.194 0.23245
  > 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 *
  > 14: d_y1_d_x1 0.0077455 0.0462115 0.168 0.86689
  > 14: d_y2_d_x1 0.0365310 0.0506660 0.721 0.47090
  > 14: d_y3_d_x1 -0.0763598 0.0949354 -0.804 0.42120
  > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
  > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
  > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
  > 15: d_y1_d_x1 0.0983928 0.2668037 0.369 0.71229
  > 15: d_y2_d_x1 0.1951304 0.2397581 0.814 0.41572
  > 15: d_y3_d_x1 -0.2185129 0.2611210 -0.837 0.40269
  > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
  > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
  > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
  > 16: d_y1_d_x1 0.1861029 0.1838931 1.012 0.31153
  > 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
  > 17: d_y2_d_x1 0.4187232 0.3512515 1.192 0.23323
  > 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
  > 17: d_y2_d_x2 -0.6256261 0.2720114 -2.300 0.02145 *
  > 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
  > 19: d_y3_d_x1 -0.2638173 0.3075951 -0.858 0.39107
  > 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 *
  > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
  > 20: d_y1_d_x1 0.0907767 0.1780308 0.510 0.61013
  > 20: d_y2_d_x1 0.0004808 0.0035019 0.137 0.89080
  > 20: d_y3_d_x1 -0.0039026 0.0168379 -0.232 0.81671
  > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
  > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
  > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
  > 21: d_y1_d_x1 0.2537931 0.3084248 0.823 0.41058
  > 21: d_y2_d_x1 0.3992862 0.3938352 1.014 0.31066
  > 21: d_y3_d_x1 -0.3331994 0.3472876 -0.959 0.33734
  > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
  > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
  > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
  > 22: d_y1_d_x1 0.0030125 0.0260178 0.116 0.90782
  > 22: d_y2_d_x1 0.0025944 0.0095680 0.271 0.78627
  > 22: d_y3_d_x1 -0.0149288 0.0516028 -0.289 0.77235
  > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
  > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
  > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
  > 23: d_y1_d_x1 0.3839298 0.2322611 1.653 0.09833 .
  > 23: d_y2_d_x1 0.0530957 0.1200950 0.442 0.65841
  > 23: d_y3_d_x1 -0.0838742 0.0922399 -0.909 0.36319
  > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
  > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
  > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
  > 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
  > 28: d_y2_d_x1 0.0171661 0.0338585 0.507 0.61216
  > 28: d_y3_d_x1 -0.0475933 0.0827103 -0.575 0.56501
  > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
  > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
  > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
  > 29: d_y1_d_x1 0.4387734 0.3441602 1.275 0.20234
  > 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
  > 29: d_y1_d_x2 -0.4316377 0.2971846 -1.452 0.14638
  > 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
  > 31: d_y3_d_x1 -0.3093692 0.2484722 -1.245 0.21310
  > 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 .
  > 31: d_y3_d_x2 0.4562932 0.2183185 2.090 0.03661 *
  > 32: d_y1_d_x1 0.4610436 0.3649767 1.263 0.20651
  > 32: d_y2_d_x1 0.2407803 0.1384474 1.739 0.08201 .
  > 32: d_y3_d_x1 -0.2287085 0.1405512 -1.627 0.10369
  > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
  > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
  > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
  > 33: d_y1_d_x1 0.0489118 0.1487038 0.329 0.74222
  > 33: d_y2_d_x1 0.2073988 0.1208362 1.716 0.08610 .
  > 33: d_y3_d_x1 -0.2244998 0.1272792 -1.764 0.07776 .
  > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
  > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
  > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
  > 34: d_y1_d_x1 0.2918467 0.1402138 2.081 0.03739 *
  > 34: d_y2_d_x1 0.3868975 0.3240208 1.194 0.23246
  > 34: d_y3_d_x1 -0.3187254 0.3475035 -0.917 0.35905
  > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
  > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
  > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
  > 35: d_y1_d_x1 0.0693382 0.1724062 0.402 0.68755
  > 35: d_y2_d_x1 0.2672640 0.1725973 1.548 0.12151
  > 35: d_y3_d_x1 -0.2621075 0.1699692 -1.542 0.12305
  > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
  > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
  > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
  > 36: d_y1_d_x1 0.1942907 0.1801413 1.079 0.28079
  > 36: d_y2_d_x1 0.4194379 0.3501349 1.198 0.23094
  > 36: d_y3_d_x1 -0.3405594 0.3351504 -1.016 0.30956
  > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
  > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
  > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
  > 37: d_y1_d_x1 0.4196328 0.2610018 1.608 0.10788
  > 37: d_y2_d_x1 0.2239110 0.2400895 0.933 0.35102
  > 37: d_y3_d_x1 -0.2200429 0.2714789 -0.811 0.41763
  > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
  > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
  > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
  > 38: d_y1_d_x1 0.4628216 0.3657665 1.265 0.20575
  > 38: d_y2_d_x1 0.2208904 0.1452555 1.521 0.12833
  > 38: d_y3_d_x1 -0.2158009 0.1284410 -1.680 0.09293 .
  > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
  > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
  > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
  > 39: d_y1_d_x1 0.3066097 0.3008442 1.019 0.30812
  > 39: d_y2_d_x1 0.4199995 0.3659529 1.148 0.25110
  > 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 *
  > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
  > 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
  > 41: d_y3_d_x1 -0.0860563 0.0924706 -0.931 0.35204
  > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
  > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
  > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
  > 42: d_y1_d_x1 0.4612913 0.3593365 1.284 0.19924
  > 42: d_y2_d_x1 0.1775253 0.1583049 1.121 0.26211
  > 42: d_y3_d_x1 -0.1864022 0.1083052 -1.721 0.08524 .
  > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
  > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
  > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
  > 43: d_y1_d_x1 0.4473813 0.3521982 1.270 0.20399
  > 43: d_y2_d_x1 0.2992639 0.1322582 2.263 0.02365 *
  > 43: d_y3_d_x1 -0.2651285 0.1845443 -1.437 0.15081
  > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
  > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
  > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
  > 44: d_y1_d_x1 0.0251250 0.1028008 0.244 0.80692
  > 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
  > 45: d_y1_d_x1 0.4584600 0.3445850 1.330 0.18336
  > 45: d_y2_d_x1 0.1287179 0.1966903 0.654 0.51284
  > 45: d_y3_d_x1 -0.1526113 0.2160522 -0.706 0.47996
  > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
  > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
  > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
  > 46: d_y1_d_x1 0.2196198 0.3120953 0.704 0.48162
  > 46: d_y2_d_x1 0.3720376 0.3890813 0.956 0.33897
  > 46: d_y3_d_x1 -0.3206175 0.3418885 -0.938 0.34836
  > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
  > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
  > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
  > 47: d_y1_d_x1 0.0675667 0.1625237 0.416 0.67760
  > 47: d_y2_d_x1 0.0002118 0.0017223 0.123 0.90213
  > 47: d_y3_d_x1 -0.0022930 0.0111918 -0.205 0.83767
  > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
  > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
  > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
  > 48: d_y1_d_x1 0.2215763 0.1639738 1.351 0.17660
  > 48: d_y2_d_x1 0.0069406 0.0311010 0.223 0.82341
  > 48: d_y3_d_x1 -0.0221528 0.0544918 -0.407 0.68435
  > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
  > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
  > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
  > 49: d_y1_d_x1 0.0670193 0.1703452 0.393 0.69400
  > 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
  > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
  > 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 *
  1518,1817c1520,1819
  < 1: d_y1_d_x1 0.2588724 0.2581611 1.003 0.315979
  < 1: d_y2_d_x1 0.2739468 0.1819042 1.506 0.132069
  < 1: d_y3_d_x1 -0.2088951 0.2794535 -0.748 0.454754
  < 1: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 1: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 1: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 2: d_y1_d_x1 0.1954173 0.2707105 0.722 0.470376
  < 2: d_y2_d_x1 0.3409786 0.2439215 1.398 0.162142
  < 2: d_y3_d_x1 -0.2344227 0.3363572 -0.697 0.485837
  < 2: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 2: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 2: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 3: d_y1_d_x1 0.1923730 0.2712445 0.709 0.478186
  < 3: d_y2_d_x1 0.3430715 0.2465572 1.391 0.164090
  < 3: d_y3_d_x1 -0.2347991 0.3384368 -0.694 0.487823
  < 3: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 3: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 3: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 4: d_y1_d_x1 0.4710862 0.4663177 1.010 0.312387
  < 4: d_y2_d_x1 0.0182040 0.0436368 0.417 0.676553
  < 4: d_y3_d_x1 -0.0277229 0.0816259 -0.340 0.734133
  < 4: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 4: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 4: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 5: d_y1_d_x1 0.1555408 0.2742077 0.567 0.570553
  < 5: d_y2_d_x1 0.3555072 0.2694184 1.320 0.186990
  < 5: d_y3_d_x1 -0.2311447 0.3549101 -0.651 0.514868
  < 5: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 5: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 5: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 6: d_y1_d_x1 0.4797355 0.4971429 0.965 0.334552
  < 6: d_y2_d_x1 0.0101714 0.0292487 0.348 0.728024
  < 6: d_y3_d_x1 -0.0175828 0.0609701 -0.288 0.773053
  < 6: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 6: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 6: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 7: d_y1_d_x1 0.0170578 0.1032958 0.165 0.868837
  < 7: d_y2_d_x1 0.0437355 0.0868416 0.504 0.614526
  < 7: d_y3_d_x1 -0.0279646 0.1050418 -0.266 0.790067
  < 7: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 7: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 7: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 8: d_y1_d_x1 0.3368240 0.2715419 1.240 0.214823
  < 8: d_y2_d_x1 0.1666264 0.1301171 1.281 0.200338
  < 8: d_y3_d_x1 -0.1487968 0.2060125 -0.722 0.470128
  < 8: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 8: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 8: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 9: d_y1_d_x1 0.2290025 0.2636581 0.869 0.385089
  < 9: d_y2_d_x1 0.3100549 0.2113119 1.467 0.142298
  < 9: d_y3_d_x1 -0.2246570 0.3085604 -0.728 0.466564
  < 9: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 9: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 9: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 10: d_y1_d_x1 0.2501551 0.2594787 0.964 0.335012
  < 10: d_y2_d_x1 0.2850722 0.1901729 1.499 0.133869
  < 10: d_y3_d_x1 -0.2140662 0.2881454 -0.743 0.457536
  < 10: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 10: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 10: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 11: d_y1_d_x1 0.2886618 0.2568939 1.124 0.261157
  < 11: d_y2_d_x1 0.2336846 0.1571785 1.487 0.137082
  < 11: d_y3_d_x1 -0.1883779 0.2498059 -0.754 0.450791
  < 11: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 11: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 11: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 12: d_y1_d_x1 0.1080931 0.2613293 0.414 0.679147
  < 12: d_y2_d_x1 0.3229794 0.2606516 1.239 0.215300
  < 12: d_y3_d_x1 -0.1987210 0.3425925 -0.580 0.561880
  < 12: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 12: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 12: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 13: d_y1_d_x1 0.1358611 0.2718261 0.500 0.617210
  < 13: d_y2_d_x1 0.3499147 0.2719826 1.287 0.198257
  < 13: d_y3_d_x1 -0.2219715 0.3552834 -0.625 0.532120
  < 13: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 13: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 13: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 14: d_y1_d_x1 0.0477263 0.1904317 0.251 0.802107
  < 14: d_y2_d_x1 0.1665697 0.1783658 0.934 0.350373
  < 14: d_y3_d_x1 -0.0994055 0.2372710 -0.419 0.675250
  < 14: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 14: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 14: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 15: d_y1_d_x1 0.0434196 0.1813627 0.239 0.810789
  < 15: d_y2_d_x1 0.1501026 0.1694605 0.886 0.375743
  < 15: d_y3_d_x1 -0.0897829 0.2235125 -0.402 0.687912
  < 15: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 15: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 15: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 16: d_y1_d_x1 0.2706682 0.2569696 1.053 0.292200
  < 16: d_y2_d_x1 0.2583368 0.1713889 1.507 0.131730
  < 16: d_y3_d_x1 -0.2012550 0.2676316 -0.752 0.452060
  < 16: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 16: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 16: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 17: d_y1_d_x1 0.3048933 0.2591314 1.177 0.239356
  < 17: d_y2_d_x1 0.2110071 0.1464159 1.441 0.149543
  < 17: d_y3_d_x1 -0.1757262 0.2342768 -0.750 0.453207
  < 17: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 17: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 17: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 18: d_y1_d_x1 0.2131349 0.2671395 0.798 0.424963
  < 18: d_y2_d_x1 0.3262819 0.2272738 1.436 0.151107
  < 18: d_y3_d_x1 -0.2304769 0.3226520 -0.714 0.475029
  < 18: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 18: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 18: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 19: d_y1_d_x1 0.4088876 0.3449842 1.185 0.235924
  < 19: d_y2_d_x1 0.0768231 0.0972783 0.790 0.429688
  < 19: d_y3_d_x1 -0.0839480 0.1499274 -0.560 0.575531
  < 19: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 19: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 19: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 20: d_y1_d_x1 0.4549377 0.5627351 0.808 0.418837
  < 20: d_y2_d_x1 0.0008039 0.0040218 0.200 0.841574
  < 20: d_y3_d_x1 -0.0023583 0.0138283 -0.171 0.864581
  < 20: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 20: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 20: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 21: d_y1_d_x1 0.1098218 0.2622797 0.419 0.675421
  < 21: d_y2_d_x1 0.3253946 0.2618948 1.242 0.214066
  < 21: d_y3_d_x1 -0.2005528 0.3438992 -0.583 0.559777
  < 21: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 21: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 21: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 22: d_y1_d_x1 0.0027767 0.0272370 0.102 0.918799
  < 22: d_y2_d_x1 0.0019901 0.0089568 0.222 0.824167
  < 22: d_y3_d_x1 -0.0016910 0.0119838 -0.141 0.887784
  < 22: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 22: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 22: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 23: d_y1_d_x1 0.4240424 0.3686129 1.150 0.249990
  < 23: d_y2_d_x1 0.0608460 0.0875846 0.695 0.487237
  < 23: d_y3_d_x1 -0.0703453 0.1372106 -0.513 0.608174
  < 23: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 23: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 23: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 24: d_y1_d_x1 0.0796055 0.2383980 0.334 0.738441
  < 24: d_y2_d_x1 0.2671588 0.2305436 1.159 0.246529
  < 24: d_y3_d_x1 -0.1605380 0.3092634 -0.519 0.603692
  < 24: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 24: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 24: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 25: d_y1_d_x1 0.0822489 0.2411799 0.341 0.733083
  < 25: d_y2_d_x1 0.2736706 0.2340401 1.169 0.242270
  < 25: d_y3_d_x1 -0.1647346 0.3133890 -0.526 0.599128
  < 25: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 25: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 25: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 26: d_y1_d_x1 0.4274381 0.3743117 1.142 0.253483
  < 26: d_y2_d_x1 0.0574266 0.0851840 0.674 0.500217
  < 26: d_y3_d_x1 -0.0673131 0.1341786 -0.502 0.615901
  < 26: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 26: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 26: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 27: d_y1_d_x1 0.1445428 0.2733116 0.529 0.596905
  < 27: d_y2_d_x1 0.3536142 0.2718544 1.301 0.193345
  < 27: d_y3_d_x1 -0.2267098 0.3559721 -0.637 0.524206
  < 27: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 27: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 27: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 28: d_y1_d_x1 0.0329819 0.1558159 0.212 0.832363
  < 28: d_y2_d_x1 0.1082366 0.1441385 0.751 0.452700
  < 28: d_y3_d_x1 -0.0655127 0.1845424 -0.355 0.722589
  < 28: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 28: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 28: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 29: d_y1_d_x1 0.2421385 0.2609365 0.928 0.353429
  < 29: d_y2_d_x1 0.2949158 0.1980580 1.489 0.136477
  < 29: d_y3_d_x1 -0.2184254 0.2960321 -0.738 0.460609
  < 29: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 29: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 29: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 30: d_y1_d_x1 0.1725433 0.2737929 0.630 0.528566
  < 30: d_y2_d_x1 0.3529995 0.2612821 1.351 0.176686
  < 30: d_y3_d_x1 -0.2348297 0.3495127 -0.672 0.501662
  < 30: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 30: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 30: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 31: d_y1_d_x1 0.2027941 0.2693041 0.753 0.451432
  < 31: d_y2_d_x1 0.3353567 0.2372262 1.414 0.157462
  < 31: d_y3_d_x1 -0.2331330 0.3309622 -0.704 0.481178
  < 31: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 31: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 31: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 32: d_y1_d_x1 0.2899978 0.2569883 1.128 0.259131
  < 32: d_y2_d_x1 0.2318277 0.1562188 1.484 0.137811
  < 32: d_y3_d_x1 -0.1873703 0.2485037 -0.754 0.450853
  < 32: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 32: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 32: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 33: d_y1_d_x1 0.1293673 0.2702081 0.479 0.632103
  < 33: d_y2_d_x1 0.3457668 0.2709695 1.276 0.201943
  < 33: d_y3_d_x1 -0.2176722 0.3538119 -0.615 0.538409
  < 33: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 33: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 33: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 34: d_y1_d_x1 0.3504910 0.2805162 1.249 0.211500
  < 34: d_y2_d_x1 0.1481781 0.1243628 1.191 0.233458
  < 34: d_y3_d_x1 -0.1367205 0.1948788 -0.702 0.482949
  < 34: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 34: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 34: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 35: d_y1_d_x1 0.1565480 0.2742401 0.571 0.568106
  < 35: d_y2_d_x1 0.3555348 0.2690768 1.321 0.186397
  < 35: d_y3_d_x1 -0.2314672 0.3547120 -0.653 0.514047
  < 35: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 35: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 35: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 36: d_y1_d_x1 0.2773369 0.2566676 1.081 0.279907
  < 36: d_y2_d_x1 0.2492938 0.1658484 1.503 0.132802
  < 36: d_y3_d_x1 -0.1966417 0.2609750 -0.753 0.451156
  < 36: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 36: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 36: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 37: d_y1_d_x1 0.4389320 0.3947837 1.112 0.266212
  < 37: d_y2_d_x1 0.0462905 0.0763579 0.606 0.544361
  < 37: d_y3_d_x1 -0.0570830 0.1232246 -0.463 0.643190
  < 37: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 37: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 37: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 38: d_y1_d_x1 0.3018128 0.2585160 1.167 0.243016
  < 38: d_y2_d_x1 0.2153237 0.1483111 1.452 0.146547
  < 38: d_y3_d_x1 -0.1781921 0.2371710 -0.751 0.452458
  < 38: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 38: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 38: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 39: d_y1_d_x1 0.1371449 0.2720930 0.504 0.614235
  < 39: d_y2_d_x1 0.3505917 0.2720688 1.289 0.197532
  < 39: d_y3_d_x1 -0.2227438 0.3554752 -0.627 0.530916
  < 39: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 39: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 39: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 40: d_y1_d_x1 0.4465709 0.4095064 1.091 0.275488
  < 40: d_y2_d_x1 0.0392561 0.0698285 0.562 0.573994
  < 40: d_y3_d_x1 -0.0502931 0.1151867 -0.437 0.662385
  < 40: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 40: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 40: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 41: d_y1_d_x1 0.4219069 0.3651066 1.156 0.247856
  < 41: d_y2_d_x1 0.0630267 0.0890493 0.708 0.479086
  < 41: d_y3_d_x1 -0.0722550 0.1390779 -0.520 0.603392
  < 41: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 41: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 41: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 42: d_y1_d_x1 0.3284262 0.2671513 1.229 0.218935
  < 42: d_y2_d_x1 0.1781714 0.1339130 1.331 0.183353
  < 42: d_y3_d_x1 -0.1560831 0.2131300 -0.732 0.463963
  < 42: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 42: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 42: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 43: d_y1_d_x1 0.2554630 0.2586381 0.988 0.323288
  < 43: d_y2_d_x1 0.2783452 0.1850939 1.504 0.132631
  < 43: d_y3_d_x1 -0.2109684 0.2828626 -0.746 0.455768
  < 43: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 43: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 43: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 44: d_y1_d_x1 0.0900840 0.2485732 0.362 0.717050
  < 44: d_y2_d_x1 0.2913294 0.2436143 1.196 0.231750
  < 44: d_y3_d_x1 -0.1763760 0.3242905 -0.544 0.586522
  < 44: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 44: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 44: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 45: d_y1_d_x1 0.4704353 0.4644735 1.013 0.311139
  < 45: d_y2_d_x1 0.0187548 0.0445010 0.421 0.673428
  < 45: d_y3_d_x1 -0.0283745 0.0827987 -0.343 0.731830
  < 45: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 45: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 45: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 46: d_y1_d_x1 0.0938576 0.2517092 0.373 0.709237
  < 46: d_y2_d_x1 0.2989732 0.2477794 1.207 0.227582
  < 46: d_y3_d_x1 -0.1815614 0.3288723 -0.552 0.580899
  < 46: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 46: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 46: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 47: d_y1_d_x1 0.4354701 0.5747818 0.758 0.448674
  < 47: d_y2_d_x1 0.0003744 0.0021157 0.177 0.859520
  < 47: d_y3_d_x1 -0.0012822 0.0084651 -0.151 0.879610
  < 47: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 47: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 47: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 48: d_y1_d_x1 0.4802739 0.5000999 0.960 0.336876
  < 48: d_y2_d_x1 0.0095150 0.0278864 0.341 0.732948
  < 48: d_y3_d_x1 -0.0166858 0.0588771 -0.283 0.776869
  < 48: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 48: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 48: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 49: d_y1_d_x1 0.1536582 0.2741259 0.561 0.575112
  < 49: d_y2_d_x1 0.3553920 0.2700055 1.316 0.188094
  < 49: d_y3_d_x1 -0.2305049 0.3552365 -0.649 0.516418
  < 49: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 49: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 49: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 50: d_y1_d_x1 0.0470712 0.1891013 0.249 0.803422
  < 50: d_y2_d_x1 0.1641021 0.1770544 0.927 0.354007
  < 50: d_y3_d_x1 -0.0979596 0.2352556 -0.416 0.677120
  < 50: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 50: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 50: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  ---
  > 1: d_y1_d_x1 0.3229492 0.1969184 1.640 0.10100
  > 1: d_y2_d_x1 0.3836677 0.2615002 1.467 0.14233
  > 1: d_y3_d_x1 -0.3169556 0.2944299 -1.077 0.28170
  > 1: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 1: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 1: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 2: d_y1_d_x1 0.2429446 0.2037656 1.192 0.23315
  > 2: d_y2_d_x1 0.3993798 0.3154487 1.266 0.20549
  > 2: d_y3_d_x1 -0.3301446 0.3079400 -1.072 0.28367
  > 2: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 2: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 2: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 3: d_y1_d_x1 0.2388602 0.2048984 1.166 0.24372
  > 3: d_y2_d_x1 0.3982789 0.3163614 1.259 0.20805
  > 3: d_y3_d_x1 -0.3297836 0.3073036 -1.073 0.28320
  > 3: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 3: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 3: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 4: d_y1_d_x1 0.4010840 0.2737181 1.465 0.14283
  > 4: d_y2_d_x1 0.0557836 0.1120191 0.498 0.61850
  > 4: d_y3_d_x1 -0.0842058 0.1161738 -0.725 0.46856
  > 4: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 4: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 4: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 5: d_y1_d_x1 0.1883227 0.2178782 0.864 0.38740
  > 5: d_y2_d_x1 0.3691077 0.3092617 1.194 0.23267
  > 5: d_y3_d_x1 -0.3165704 0.2885639 -1.097 0.27262
  > 5: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 5: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 5: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 6: d_y1_d_x1 0.3702088 0.2479950 1.493 0.13549
  > 6: d_y2_d_x1 0.0348830 0.0858155 0.406 0.68438
  > 6: d_y3_d_x1 -0.0614131 0.1004444 -0.611 0.54093
  > 6: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 6: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 6: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 7: d_y1_d_x1 0.0103208 0.0578293 0.178 0.85835
  > 7: d_y2_d_x1 0.0220459 0.0389256 0.566 0.57115
  > 7: d_y3_d_x1 -0.0531236 0.0945413 -0.562 0.57418
  > 7: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 7: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 7: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 8: d_y1_d_x1 0.4007101 0.2513387 1.594 0.11087
  > 8: d_y2_d_x1 0.2907940 0.1839648 1.581 0.11395
  > 8: d_y3_d_x1 -0.2596189 0.2327124 -1.116 0.26458
  > 8: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 8: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 8: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 9: d_y1_d_x1 0.2866645 0.1948097 1.472 0.14115
  > 9: d_y2_d_x1 0.3996281 0.2934836 1.362 0.17330
  > 9: d_y3_d_x1 -0.3277370 0.3066371 -1.069 0.28516
  > 9: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 9: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 9: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 10: d_y1_d_x1 0.3126554 0.1950652 1.603 0.10897
  > 10: d_y2_d_x1 0.3897239 0.2715355 1.435 0.15121
  > 10: d_y3_d_x1 -0.3208544 0.2989128 -1.073 0.28309
  > 10: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 10: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 10: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 11: d_y1_d_x1 0.3559815 0.2109879 1.687 0.09156 .
  > 11: d_y2_d_x1 0.3554683 0.2265475 1.569 0.11663
  > 11: d_y3_d_x1 -0.2994680 0.2745089 -1.091 0.27531
  > 11: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 11: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 11: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 12: d_y1_d_x1 0.1219655 0.2167209 0.563 0.57359
  > 12: d_y2_d_x1 0.2849034 0.2455108 1.160 0.24586
  > 12: d_y3_d_x1 -0.2706624 0.2345246 -1.154 0.24846
  > 12: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 12: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 12: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 13: d_y1_d_x1 0.1607955 0.2212149 0.727 0.46730
  > 13: d_y2_d_x1 0.3407304 0.2902802 1.174 0.24048
  > 13: d_y3_d_x1 -0.3019451 0.2699648 -1.118 0.26337
  > 13: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 13: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 13: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 14: d_y1_d_x1 0.0425054 0.1438735 0.295 0.76766
  > 14: d_y2_d_x1 0.1103218 0.1084386 1.017 0.30898
  > 14: d_y3_d_x1 -0.1487970 0.1464968 -1.016 0.30977
  > 14: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 14: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 14: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 15: d_y1_d_x1 0.0374443 0.1341184 0.279 0.78010
  > 15: d_y2_d_x1 0.0966391 0.0989303 0.977 0.32865
  > 15: d_y3_d_x1 -0.1367612 0.1410156 -0.970 0.33213
  > 15: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 15: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 15: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 16: d_y1_d_x1 0.3364459 0.2011069 1.673 0.09433 .
  > 16: d_y2_d_x1 0.3738146 0.2475442 1.510 0.13102
  > 16: d_y3_d_x1 -0.3107708 0.2873205 -1.082 0.27942
  > 16: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 16: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 16: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 17: d_y1_d_x1 0.3723866 0.2229194 1.670 0.09482 .
  > 17: d_y2_d_x1 0.3359156 0.2092497 1.605 0.10842
  > 17: d_y3_d_x1 -0.2875002 0.2613449 -1.100 0.27130
  > 17: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 17: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 17: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 18: d_y1_d_x1 0.2663399 0.1979782 1.345 0.17853
  > 18: d_y2_d_x1 0.4021326 0.3063279 1.313 0.18927
  > 18: d_y3_d_x1 -0.3302751 0.3090795 -1.069 0.28526
  > 18: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 18: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 18: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 19: d_y1_d_x1 0.4376430 0.3057075 1.432 0.15227
  > 19: d_y2_d_x1 0.1696360 0.1652745 1.026 0.30471
  > 19: d_y3_d_x1 -0.1789464 0.1684535 -1.062 0.28810
  > 19: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 19: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 19: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 20: d_y1_d_x1 0.2241586 0.2203192 1.017 0.30895
  > 20: d_y2_d_x1 0.0042037 0.0189008 0.222 0.82400
  > 20: d_y3_d_x1 -0.0149535 0.0440352 -0.340 0.73417
  > 20: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 20: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 20: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 21: d_y1_d_x1 0.1243686 0.2174053 0.572 0.56728
  > 21: d_y2_d_x1 0.2889116 0.2488541 1.161 0.24565
  > 21: d_y3_d_x1 -0.2730094 0.2369908 -1.152 0.24933
  > 21: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 21: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 21: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 22: d_y1_d_x1 0.0007459 0.0072977 0.102 0.91859
  > 22: d_y2_d_x1 0.0006998 0.0029467 0.237 0.81229
  > 22: d_y3_d_x1 -0.0057940 0.0229384 -0.253 0.80058
  > 22: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 22: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 22: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 23: d_y1_d_x1 0.4382229 0.3090674 1.418 0.15622
  > 23: d_y2_d_x1 0.1426446 0.1604881 0.889 0.37410
  > 23: d_y3_d_x1 -0.1589837 0.1565509 -1.016 0.30985
  > 23: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 23: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 23: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 24: d_y1_d_x1 0.0830536 0.1955292 0.425 0.67101
  > 24: d_y2_d_x1 0.2095390 0.1829217 1.146 0.25200
  > 24: d_y3_d_x1 -0.2234026 0.1914376 -1.167 0.24322
  > 24: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 24: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 24: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 25: d_y1_d_x1 0.0865904 0.1983706 0.437 0.66247
  > 25: d_y2_d_x1 0.2172090 0.1891481 1.148 0.25082
  > 25: d_y3_d_x1 -0.2285086 0.1954931 -1.169 0.24245
  > 25: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 25: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 25: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 26: d_y1_d_x1 0.4378383 0.3091474 1.416 0.15669
  > 26: d_y2_d_x1 0.1365703 0.1589866 0.859 0.39034
  > 26: d_y3_d_x1 -0.1543408 0.1539501 -1.003 0.31608
  > 26: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 26: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 26: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 27: d_y1_d_x1 0.1729600 0.2202574 0.785 0.43230
  > 27: d_y2_d_x1 0.3543882 0.3000078 1.181 0.23750
  > 27: d_y3_d_x1 -0.3091116 0.2788965 -1.108 0.26772
  > 27: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 27: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 27: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 28: d_y1_d_x1 0.0257894 0.1073759 0.240 0.81019
  > 28: d_y2_d_x1 0.0644472 0.0761722 0.846 0.39751
  > 28: d_y3_d_x1 -0.1055972 0.1270193 -0.831 0.40578
  > 28: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 28: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 28: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 29: d_y1_d_x1 0.3029664 0.1942862 1.559 0.11891
  > 29: d_y2_d_x1 0.3943070 0.2803474 1.406 0.15958
  > 29: d_y3_d_x1 -0.3239068 0.3023941 -1.071 0.28411
  > 29: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 29: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 29: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 30: d_y1_d_x1 0.2118732 0.2124133 0.997 0.31854
  > 30: d_y2_d_x1 0.3863182 0.3169271 1.219 0.22286
  > 30: d_y3_d_x1 -0.3247953 0.2998024 -1.083 0.27865
  > 30: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 30: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 30: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 31: d_y1_d_x1 0.2527667 0.2011528 1.257 0.20890
  > 31: d_y2_d_x1 0.4012708 0.3124087 1.284 0.19899
  > 31: d_y3_d_x1 -0.3305991 0.3089367 -1.070 0.28457
  > 31: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 31: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 31: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 32: d_y1_d_x1 0.3573774 0.2118731 1.687 0.09165 .
  > 32: d_y2_d_x1 0.3539601 0.2250456 1.573 0.11576
  > 32: d_y3_d_x1 -0.2985441 0.2734764 -1.092 0.27498
  > 32: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 32: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 32: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 33: d_y1_d_x1 0.1516903 0.2212870 0.685 0.49303
  > 33: d_y2_d_x1 0.3293285 0.2816236 1.169 0.24225
  > 33: d_y3_d_x1 -0.2958065 0.2625654 -1.127 0.25991
  > 33: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 33: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 33: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 34: d_y1_d_x1 0.4109694 0.2640717 1.556 0.11964
  > 34: d_y2_d_x1 0.2693770 0.1773855 1.519 0.12886
  > 34: d_y3_d_x1 -0.2461064 0.2199809 -1.119 0.26324
  > 34: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 34: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 34: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 35: d_y1_d_x1 0.1897255 0.2176062 0.872 0.38328
  > 35: d_y2_d_x1 0.3703130 0.3099381 1.195 0.23217
  > 35: d_y3_d_x1 -0.3171667 0.2893553 -1.096 0.27303
  > 35: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 35: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 35: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 36: d_y1_d_x1 0.3438410 0.2043023 1.683 0.09237 .
  > 36: d_y2_d_x1 0.3674585 0.2396459 1.533 0.12519
  > 36: d_y3_d_x1 -0.3068357 0.2828260 -1.085 0.27797
  > 36: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 36: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 36: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 37: d_y1_d_x1 0.4348121 0.3071966 1.415 0.15695
  > 37: d_y2_d_x1 0.1159358 0.1523350 0.761 0.44662
  > 37: d_y3_d_x1 -0.1380751 0.1452016 -0.951 0.34164
  > 37: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 37: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 37: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 38: d_y1_d_x1 0.3693685 0.2204735 1.675 0.09387 .
  > 38: d_y2_d_x1 0.3398245 0.2123516 1.600 0.10953
  > 38: d_y3_d_x1 -0.2898933 0.2639391 -1.098 0.27206
  > 38: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 38: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 38: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 39: d_y1_d_x1 0.1625955 0.2211322 0.735 0.46217
  > 39: d_y2_d_x1 0.3428643 0.2918528 1.175 0.24008
  > 39: d_y3_d_x1 -0.3030787 0.2713560 -1.117 0.26404
  > 39: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 39: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 39: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 40: d_y1_d_x1 0.4310083 0.3036672 1.419 0.15580
  > 40: d_y2_d_x1 0.1021310 0.1462658 0.698 0.48502
  > 40: d_y3_d_x1 -0.1266963 0.1392940 -0.910 0.36305
  > 40: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 40: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 40: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 41: d_y1_d_x1 0.4383603 0.3088804 1.419 0.15584
  > 41: d_y2_d_x1 0.1464601 0.1613405 0.908 0.36400
  > 41: d_y3_d_x1 -0.1618696 0.1581962 -1.023 0.30620
  > 41: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 41: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 41: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 42: d_y1_d_x1 0.3938190 0.2435193 1.617 0.10584
  > 42: d_y2_d_x1 0.3033933 0.1892822 1.603 0.10897
  > 42: d_y3_d_x1 -0.2674705 0.2404638 -1.112 0.26600
  > 42: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 42: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 42: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 43: d_y1_d_x1 0.3189542 0.1960673 1.627 0.10379
  > 43: d_y2_d_x1 0.3861652 0.2654683 1.455 0.14576
  > 43: d_y3_d_x1 -0.3185505 0.2962658 -1.075 0.28228
  > 43: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 43: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 43: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 44: d_y1_d_x1 0.0971787 0.2056705 0.472 0.63657
  > 44: d_y2_d_x1 0.2391890 0.2072537 1.154 0.24846
  > 44: d_y3_d_x1 -0.2427451 0.2075624 -1.170 0.24220
  > 44: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 44: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 44: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 45: d_y1_d_x1 0.4025241 0.2750818 1.463 0.14339
  > 45: d_y2_d_x1 0.0571279 0.1134119 0.504 0.61446
  > 45: d_y3_d_x1 -0.0855674 0.1170016 -0.731 0.46457
  > 45: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 45: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 45: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 46: d_y1_d_x1 0.1023270 0.2086179 0.490 0.62378
  > 46: d_y2_d_x1 0.2493443 0.2157179 1.156 0.24773
  > 46: d_y3_d_x1 -0.2491363 0.2133487 -1.168 0.24291
  > 46: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 46: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 46: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 47: d_y1_d_x1 0.1866549 0.2239000 0.834 0.40448
  > 47: d_y2_d_x1 0.0021906 0.0112184 0.195 0.84518
  > 47: d_y3_d_x1 -0.0097002 0.0326790 -0.297 0.76660
  > 47: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 47: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 47: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 48: d_y1_d_x1 0.3664196 0.2453495 1.493 0.13532
  > 48: d_y2_d_x1 0.0330393 0.0830093 0.398 0.69062
  > 48: d_y3_d_x1 -0.0592154 0.0986854 -0.600 0.54848
  > 48: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 48: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 48: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 49: d_y1_d_x1 0.1856984 0.2183644 0.850 0.39510
  > 49: d_y2_d_x1 0.3667908 0.3079205 1.191 0.23358
  > 49: d_y3_d_x1 -0.3154174 0.2870419 -1.099 0.27183
  > 49: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 49: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 49: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 50: d_y1_d_x1 0.0417272 0.1424363 0.293 0.76956
  > 50: d_y2_d_x1 0.1082331 0.1069829 1.012 0.31169
  > 50: d_y3_d_x1 -0.1469973 0.1456618 -1.009 0.31289
  > 50: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 50: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 50: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  1831,1832c1833,1834
  < 50 0.04707121 0.1641021 -0.09795955 -0.08750418 -0.4510703 0.3323667
  < mean 0.24176261 0.2063106 -0.14712190 -0.16157088 -0.3365191 0.3411523
  ---
  > 50 0.04172722 0.1082331 -0.1469973 -0.1058940 -0.3177685 0.3395679
  > mean 0.25305226 0.2459298 -0.2259482 -0.2385306 -0.3379456 0.3143112
  1839,1840c1841,1842
  < 50 0.03575932 -0.006530021 0.03205388 -0.03675249 0.0055297645 -0.046033715
  < mean 0.05181638 0.005544625 0.02686191 0.01209845 -0.0003369232 0.004746487
  ---
  > 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
  1845,1846c1847,1848
  < 50 -0.006530021 0.03134826 -0.0002233093 0.005900779 -0.032241470
  < mean 0.005544625 0.02149469 0.0008032002 -0.001042962 0.004474452
  ---
  > 50 -0.002813578 0.01144533 -0.006468166 0.005122685 -0.020284870
  > mean -0.007930409 0.02591722 0.006303994 -0.001479403 0.002586458
  1848,1849c1850,1851
  < 50 -0.001776497
  < mean -0.001548915
  ---
  > 50 0.003782239
  > mean -0.005399069
  1853,1855c1855,1860
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 0.03205388 -0.0002233093 0.05534519 -0.034424056 -0.004883880 -0.07313663
  < mean 0.02686191 0.0008032002 0.05001475 0.004675532 -0.002445249 0.01524307
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 -0.001572159 -0.006468166 0.02121735 0.002631792 0.008918785
  > mean -0.001681515 0.006303994 0.03729586 -0.001273756 -0.002646520
  > d_y3_d_x2
  > 50 -0.015842908
  > mean 0.002036567
  1859,1861c1864,1869
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 -0.03675249 0.005900779 -0.034424056 0.0384456 -0.0042925489 0.049925295
  < mean 0.01209845 -0.001042962 0.004675532 0.0100440 -0.0004815967 0.002144642
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 -0.031743940 0.005122685 0.002631792 0.050169955 -0.0241270415
  > mean 0.002256626 -0.001479403 -0.001273756 0.005158698 0.0005432138
  > d_y3_d_x2
  > 50 -0.003698285
  > mean 0.001211321
  1866,1867c1874,1875
  < 50 0.0055297645 -0.032241470 -0.004883880 -0.0042925489 0.045899581
  < mean -0.0003369232 0.004474452 -0.002445249 -0.0004815967 0.003800426
  ---
  > 50 0.0142068618 -0.020284870 0.008918785 -0.0241270415 0.046770483
  > mean 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.001989406
  1869,1870c1877,1878
  < 50 0.0071998742
  < mean -0.0002455132
  ---
  > 50 -0.004816119
  > mean -0.001093343
  1874,1876c1882,1887
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 -0.046033715 -0.001776497 -0.07313663 0.049925295 0.0071998742 0.1039599
  < mean 0.004746487 -0.001548915 0.01524307 0.002144642 -0.0002455132 0.0107536
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
  > mean 0.002957937 -0.005399069 0.002036567 0.001211321 -0.001093343
  > d_y3_d_x2
  > 50 0.019248488
  > mean 0.005235179
  1880,1885c1891,1896
  < d_y1_d_x1 0.0518163822 0.0055446252 0.0268619052 0.0120984453 -0.0003369232
  < d_y2_d_x1 0.0055446252 0.0214946851 0.0008032002 -0.0010429624 0.0044744523
  < d_y3_d_x1 0.0268619052 0.0008032002 0.0500147542 0.0046755321 -0.0024452492
  < d_y1_d_x2 0.0120984453 -0.0010429624 0.0046755321 0.0100439988 -0.0004815967
  < d_y2_d_x2 -0.0003369232 0.0044744523 -0.0024452492 -0.0004815967 0.0038004263
  < d_y3_d_x2 0.0047464873 -0.0015489152 0.0152430678 0.0021446419 -0.0002455132
  ---
  > 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
  1887,1892c1898,1903
  < d_y1_d_x1 0.0047464873
  < d_y2_d_x1 -0.0015489152
  < d_y3_d_x1 0.0152430678
  < d_y1_d_x2 0.0021446419
  < d_y2_d_x2 -0.0002455132
  < d_y3_d_x2 0.0107536013
  ---
  > 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
  1899,1900c1910,1911
  < 50 -0.09578174 0 0 0.1449714 0 0
  < mean -0.17841253 0 0 0.0917387 0 0
  ---
  > 50 -0.08621442 0 0 0.18081872 0 0
  > mean -0.11555729 0 0 0.08871062 0 0
  1905,1906c1916,1917
  < 50 0.005139274 0 0 0.00000000 0 0
  < mean 0.098175517 0 0 0.04755756 0 0
  ---
  > 50 0.006502259 0 0 0.00000000 0 0
  > mean 0.154762044 0 0 0.06486142 0 0
  1911,1912c1922,1923
  < 50 0.09831238 0 0 -0.04790091 0 0
  < mean -0.01487335 0 0 0.17761993 0 0
  ---
  > 50 0.08849228 0 0 -0.09292049 0 0
  > mean 0.05335740 0 0 0.16351750 0 0
  1917,1918c1928,1929
  < 50 0 -0.19713241 0 0 0.37260414 0
  < mean 0 0.03725597 0 0 -0.04181945 0
  ---
  > 50 0 -0.167907668 0 0 0.371170187 0
  > mean 0 0.003481499 0 0 -0.001743184 0
  1923,1924c1934,1935
  < 50 0 0.08632207 0 0 0.00000000 0
  < mean 0 0.23614993 0 0 0.01878253 0
  ---
  > 50 0 0.03369144 0 0 0.00000000 0
  > mean 0 0.22633598 0 0 0.04748192 0
  1929,1930c1940,1941
  < 50 0 0.20234082 0 0 -0.09939672 0
  < mean 0 0.06997882 0 0 0.09686793 0
  ---
  > 50 0 0.1723439 0 0 -0.17954595 0
  > mean 0 0.0907140 0 0 0.08276367 0
  1935,1936c1946,1947
  < 50 0 0 -0.12780455 0 0 0.34709511
  < mean 0 0 0.01584529 0 0 -0.03029142
  ---
  > 50 0 0 -0.18169300 0 0 0.30059023
  > mean 0 0 0.01121233 0 0 -0.01301531
  1941,1942c1952,1953
  < 50 0 0 0.1033959 0 0 0.00000000
  < mean 0 0 0.2504338 0 0 0.01919273
  ---
  > 50 0 0 0.08789435 0 0 0.00000000
  > mean 0 0 0.26243481 0 0 0.03619013
  1947,1948c1958,1959
  < 50 0 0 0.13118126 0 0 -0.1251915
  < mean 0 0 0.05550565 0 0 0.1054501
  ---
  > 50 0 0 0.18649349 0 0 -0.03897388
  > mean 0 0 0.08964001 0 0 0.12386551
  1970,1975c1981,1986
  < d_y1_d_x1 -0.1784125 0.09817552 -0.01487335 0.00000000 0.00000000 0.00000000
  < d_y2_d_x1 0.0000000 0.00000000 0.00000000 0.03725597 0.23614993 0.06997882
  < d_y3_d_x1 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
  < d_y1_d_x2 0.0917387 0.04755756 0.17761993 0.00000000 0.00000000 0.00000000
  < d_y2_d_x2 0.0000000 0.00000000 0.00000000 -0.04181945 0.01878253 0.09686793
  < d_y3_d_x2 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
  ---
  > d_y1_d_x1 -0.11555729 0.15476204 0.0533574 0.000000000 0.00000000 0.00000000
  > d_y2_d_x1 0.00000000 0.00000000 0.0000000 0.003481499 0.22633598 0.09071400
  > d_y3_d_x1 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
  > d_y1_d_x2 0.08871062 0.06486142 0.1635175 0.000000000 0.00000000 0.00000000
  > d_y2_d_x2 0.00000000 0.00000000 0.0000000 -0.001743184 0.04748192 0.08276367
  > d_y3_d_x2 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
  1979c1990
  < d_y3_d_x1 0.01584529 0.25043378 0.05550565 0 0 0
  ---
  > d_y3_d_x1 0.01121233 0.26243481 0.08964001 0 0 0
  1982c1993
  < d_y3_d_x2 -0.03029142 0.01919273 0.10545013 0 0 0
  ---
  > d_y3_d_x2 -0.01301531 0.03619013 0.12386551 0 0 0
  1988,1999c1999,2010
  < 50: d_y1_d_x1 0.047071 0.189101 0.2489 0.803422
  < 50: d_y2_d_x1 0.164102 0.177054 0.9268 0.354007
  < 50: d_y3_d_x1 -0.097960 0.235256 -0.4164 0.677120
  < 50: d_y1_d_x2 -0.087504 0.196075 -0.4463 0.655396
  < 50: d_y2_d_x2 -0.451070 0.214242 -2.1054 0.035254 *
  < 50: d_y3_d_x2 0.332367 0.322428 1.0308 0.302623
  < mean: d_y1_d_x1 0.241763 0.227632 1.0621 0.288201
  < mean: d_y2_d_x1 0.206311 0.146611 1.4072 0.159368
  < mean: d_y3_d_x1 -0.147122 0.223640 -0.6579 0.510633
  < mean: d_y1_d_x2 -0.161571 0.100220 -1.6122 0.106926
  < mean: d_y2_d_x2 -0.336519 0.061648 -5.4588 4.795e-08 ***
  < mean: d_y3_d_x2 0.341152 0.103700 3.2898 0.001003 **
  ---
  > 50: d_y1_d_x1 0.041727 0.142436 0.2930 0.7695577
  > 50: d_y2_d_x1 0.108233 0.106983 1.0117 0.3116880
  > 50: d_y3_d_x1 -0.146997 0.145662 -1.0092 0.3128935
  > 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 *
  > mean: d_y1_d_x1 0.253052 0.148510 1.7039 0.0883925 .
  > mean: d_y2_d_x1 0.245930 0.160988 1.5276 0.1266055
  > mean: d_y3_d_x1 -0.225948 0.193121 -1.1700 0.2420090
  > 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 ***
  2007,2012c2018,2023
  < d_y1_d_x1 0.2341 0.2626 0.892 0.37254
  < d_y2_d_x1 0.3043 0.2061 1.476 0.13983
  < d_y3_d_x1 -0.2224 0.3037 -0.732 0.46411
  < d_y1_d_x2 -0.1561 0.1527 -1.023 0.30649
  < d_y2_d_x2 -0.5314 0.1830 -2.903 0.00369 **
  < d_y3_d_x2 0.5387 0.3134 1.719 0.08562 .
  ---
  > d_y1_d_x1 0.2931 0.1944 1.508 0.1315
  > d_y2_d_x1 0.3979 0.2886 1.379 0.1680
  > d_y3_d_x1 -0.3264 0.3052 -1.070 0.2848
  > d_y1_d_x2 -0.2967 0.1257 -2.361 0.0183 *
  > d_y2_d_x2 -0.6194 0.2474 -2.504 0.0123 *
  > d_y3_d_x2 0.4942 0.2616 1.890 0.0588 .
  2025,2074c2036,2085
  < 1 0.237948601 5.209182e-02 -0.385563554 -0.3339732476 -9.919227e-02
  < 2 0.163459528 2.956930e-01 -0.261033470 -0.2710166952 -4.158830e-01
  < 3 0.335770813 2.837540e-01 -0.261474881 -0.0895457870 -5.538163e-01
  < 4 0.477102444 1.930096e-02 -0.021110217 -0.2516150443 -7.911699e-02
  < 5 0.132357415 2.917055e-01 -0.226042621 -0.0197854050 -5.024037e-01
  < 6 0.484424012 1.138052e-02 -0.011739162 -0.2757779615 -4.970241e-02
  < 7 0.015609743 4.052613e-02 -0.027259431 -0.0009687927 -2.217208e-02
  < 8 0.331384783 2.971380e-02 -0.344602337 -0.3739983279 -4.671881e-02
  < 9 0.202556381 2.652770e-01 -0.249852121 -0.3073750682 -3.464924e-01
  < 10 0.227502144 2.430347e-01 -0.237888049 -0.3268870413 -3.038976e-01
  < 11 0.100501787 1.996777e-01 -0.213170946 -0.0141148840 -5.029095e-01
  < 12 0.071326310 3.093958e-01 -0.225118190 -0.0069933040 -4.414619e-01
  < 13 0.029025951 3.203844e-01 -0.213997503 -0.0019419182 -5.148046e-01
  < 14 0.040230739 1.451706e-01 -0.094114140 -0.0036213536 -1.317432e-01
  < 15 0.102360473 1.953716e-01 -0.033443765 -0.1328637154 -5.252904e-01
  < 16 0.252126094 2.202077e-01 -0.222969734 -0.0591185194 -5.310845e-01
  < 17 0.293313272 1.810601e-01 -0.192808800 -0.0790008818 -4.737400e-01
  < 18 0.367726015 2.725465e-01 -0.256514911 -0.4433429786 -4.267679e-01
  < 19 0.413701862 7.124159e-02 -0.083148934 -0.1654366056 -2.377473e-01
  < 20 0.455817325 1.677120e-04 -0.005293063 -0.2080896035 -7.193636e-05
  < 21 0.205214789 2.691854e-01 -0.226964221 -0.2794719346 -5.376242e-01
  < 22 0.002734296 1.933737e-03 -0.001687782 -0.0071993027 -1.002043e-02
  < 23 0.430217379 5.764147e-02 -0.067132653 -0.3660046068 -4.885980e-02
  < 24 0.065827300 2.249876e-01 -0.151196931 -0.1082764439 -5.060823e-01
  < 25 0.068000354 2.300003e-01 -0.155199983 -0.1114470583 -5.112703e-01
  < 26 0.433802720 1.046374e-02 -0.183099496 -0.3643619941 -1.181716e-02
  < 27 0.122132361 2.901549e-01 -0.219878165 -0.0175455174 -4.790363e-01
  < 28 0.028555790 9.663640e-02 -0.062658335 -0.0022540892 -7.280186e-02
  < 29 0.217928774 2.516611e-01 -0.242923102 -0.3199244461 -3.198631e-01
  < 30 0.148553371 2.902754e-01 -0.232923218 -0.0235865448 -5.311578e-01
  < 31 0.056832531 2.897002e-01 -0.237999426 -0.0055981752 -5.832407e-01
  < 32 0.275400905 4.249574e-02 -0.382503443 -0.3550491511 -7.539446e-02
  < 33 0.236105595 2.843638e-01 -0.244274599 -0.0469166516 -4.405031e-01
  < 34 0.136786196 1.300153e-01 -0.169995308 -0.0234969020 -3.776785e-01
  < 35 0.133303657 2.917442e-01 -0.226537913 -0.0199988708 -5.043546e-01
  < 36 0.458747430 2.204993e-01 -0.217557920 -0.1789450774 -5.393061e-01
  < 37 0.445745734 4.498101e-02 -0.052106489 -0.2006892197 -1.630679e-01
  < 38 0.289613261 1.845895e-01 -0.195742387 -0.3612873107 -2.083524e-01
  < 39 0.115366049 2.878609e-01 -0.214925382 -0.1769033160 -5.289248e-01
  < 40 0.453502177 7.276832e-03 -0.138948785 -0.3523105916 -7.384951e-03
  < 41 0.427950075 1.143812e-02 -0.195341973 -0.3669728936 -1.326983e-02
  < 42 0.321442859 1.543479e-01 -0.169330729 -0.3717284647 -1.651663e-01
  < 43 0.233858992 2.372180e-01 -0.234296837 -0.3312623895 -2.934677e-01
  < 44 0.074498258 2.435026e-01 -0.166418824 -0.0085027098 -3.086721e-01
  < 45 0.476513820 1.982993e-02 -0.021744718 -0.2502367209 -8.100277e-02
  < 46 0.077659343 2.493065e-01 -0.171482436 -0.1253690023 -5.279846e-01
  < 47 0.435951664 7.923282e-05 -0.002696707 -0.1831056271 -2.969716e-05
  < 48 0.484807987 1.868755e-03 -0.044845305 -0.2995115372 -1.325704e-03
  < 49 0.130593018 2.915882e-01 -0.225086115 -0.0193901825 -4.986721e-01
  < 50 0.039712638 1.431535e-01 -0.092775365 -0.0692329994 -3.856274e-01
  ---
  > 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
  > 4 0.4122503068 0.0694645017 -0.053904996 -0.472083947 -0.2122800739
  > 5 0.1847060251 0.3084425402 -0.343223755 -0.060445211 -0.3646545059
  > 6 0.3787985991 0.0477528062 -0.033663433 -0.474756965 -0.1554861558
  > 7 0.0100311239 0.0209668055 -0.053506160 -0.001106247 -0.0060166004
  > 8 0.4110128568 0.1322373739 -0.403457904 -0.470548414 -0.1341642415
  > 9 0.1474786224 0.3575139395 -0.360949264 -0.264433849 -0.4844316876
  > 10 0.3116938786 0.3484655128 -0.361307997 -0.453660745 -0.4473769719
  > 11 0.2058976401 0.3200081428 -0.328883694 -0.079864895 -0.5893156417
  > 12 0.1177334095 0.2436538298 -0.287657466 -0.031148920 -0.2231415107
  > 13 0.1471332486 0.3159154131 -0.349075440 -0.039228803 -0.3336039182
  > 14 0.0406336000 0.0999068773 -0.152735168 -0.007155819 -0.0531209314
  > 15 0.0358197254 0.0880153046 -0.139996990 -0.091958139 -0.2591680623
  > 16 0.1882725183 0.3350175752 -0.342159788 -0.067926448 -0.5870797947
  > 17 0.3833567161 0.2924153584 -0.314583141 -0.212937647 -0.5602548018
  > 18 0.3979220186 0.2666187493 -0.404805015 -0.513151557 -0.3701386058
  > 19 0.4437521979 0.1791338917 -0.160502351 -0.532987886 -0.4316406791
  > 20 0.2259756660 0.0022584118 -0.019229939 -0.089444084 -0.0005387236
  > 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
  > 37 0.4496318140 0.0515675468 -0.224907158 -0.429079174 -0.1533983305
  > 38 0.3756418193 0.3074074008 -0.313706240 -0.474844440 -0.3482839442
  > 39 0.0638654116 0.3176168542 -0.326350396 -0.154807067 -0.5696465233
  > 40 0.4453405495 0.0456337187 -0.205495492 -0.344289600 -0.0292378379
  > 41 0.4537160101 0.1514742551 -0.139238355 -0.391407408 -0.1245240635
  > 42 0.4031850053 0.1389606133 -0.411561969 -0.472975838 -0.1445333297
  > 43 0.3187527097 0.1953852747 -0.433867721 -0.457330982 -0.2461844889
  > 44 0.0933321287 0.2073153800 -0.255570394 -0.022420511 -0.1675168917
  > 45 0.4138250511 0.0262438003 -0.134437144 -0.471512840 -0.0877855065
  > 46 0.0320414287 0.2395251689 -0.262837614 -0.092981737 -0.5147062188
  > 47 0.1877038486 0.0012227798 -0.011951812 -0.066531222 -0.0002453633
  > 48 0.3747295025 0.0156619839 -0.089368038 -0.219843609 -0.0068112323
  > 49 0.1820121476 0.3066912948 -0.341751326 -0.059108011 -0.3594666853
  > 50 0.1059631810 0.0980984696 -0.167108498 -0.194204529 -0.2810062303
  2076,2125c2087,2136
  < 1 0.621982377
  < 2 0.504193930
  < 3 0.537158464
  < 4 0.087772555
  < 5 0.460696582
  < 6 0.053269553
  < 7 0.032232221
  < 8 0.419964329
  < 9 0.431957005
  < 10 0.381902272
  < 11 0.513569144
  < 12 0.408692466
  < 13 0.422537012
  < 14 0.144539515
  < 15 0.128709154
  < 16 0.519165598
  < 17 0.478327355
  < 18 0.467637683
  < 19 0.264264707
  < 20 0.002337890
  < 21 0.575125038
  < 22 0.008812482
  < 23 0.046755317
  < 24 0.452619350
  < 25 0.460887669
  < 26 0.152591187
  < 27 0.440473252
  < 28 0.087610658
  < 29 0.401080569
  < 30 0.486618332
  < 31 0.517545456
  < 32 0.552980713
  < 33 0.457886926
  < 34 0.442249008
  < 35 0.462411008
  < 36 0.512614522
  < 37 0.184008480
  < 38 0.258880372
  < 39 0.551777607
  < 40 0.104709232
  < 41 0.167222087
  < 42 0.200311878
  < 43 0.369121118
  < 44 0.298512541
  < 45 0.089982601
  < 46 0.492360419
  < 47 0.001136141
  < 48 0.025623066
  < 49 0.457430313
  < 50 0.312100195
  ---
  > 1 0.360815947
  > 2 0.497693370
  > 3 0.453818047
  > 4 0.175490813
  > 5 0.390535156
  > 6 0.120618004
  > 7 0.028391238
  > 8 0.378315289
  > 9 0.445348474
  > 10 0.379760171
  > 11 0.524477068
  > 12 0.282396164
  > 13 0.371331912
  > 14 0.112653252
  > 15 0.334504219
  > 16 0.522126289
  > 17 0.522184293
  > 18 0.605611100
  > 19 0.385355560
  > 20 0.006078859
  > 21 0.528322176
  > 22 0.022043552
  > 23 0.167180007
  > 24 0.474967844
  > 25 0.512488332
  > 26 0.159487780
  > 27 0.368015826
  > 28 0.070192644
  > 29 0.574533205
  > 30 0.422114838
  > 31 0.493178952
  > 32 0.328691011
  > 33 0.334349642
  > 34 0.495369678
  > 35 0.392516250
  > 36 0.542851700
  > 37 0.512469883
  > 38 0.267731303
  > 39 0.541591920
  > 40 0.117148027
  > 41 0.061954778
  > 42 0.398801119
  > 43 0.554039712
  > 44 0.234531669
  > 45 0.362288294
  > 46 0.506043388
  > 47 0.003514004
  > 48 0.038239307
  > 49 0.386795047
  > 50 0.384142824
  2135c2146
  < 1 0.2084098 0.2600454 -0.247454 -0.1534087 -0.4659631 0.5140027
  ---
  > 1 0.2898572 0.3558136 -0.3706332 -0.2927278 -0.570811 0.5331238
  2140c2151
  < 1 0.02133708 -0.005429203 0.005264673 0.007004138 -0.002626446 -0.01613668
  ---
  > 1 0.02917825 -0.01501905 -0.02193211 -0.01396746 0.008000066 0.01931686
  2145c2156
  < 1 -0.005429203 0.04213257 0.007828535 -0.003748988 -0.001622107 0.01329837
  ---
  > 1 -0.01501905 0.05320172 0.0319124 0.01182735 -0.0241312 -0.03099196
  2150c2161
  < 1 0.005264673 0.007828535 0.05553577 -0.00790842 0.01151003 -0.004458089
  ---
  > 1 -0.02193211 0.0319124 0.1246049 0.0336234 -0.02175698 -0.07938726
  2155c2166
  < 1 0.007004138 -0.003748988 -0.00790842 0.0367378 0.0002264923 -0.04094305
  ---
  > 1 -0.01396746 0.01182735 0.0336234 0.02911258 -0.007133504 -0.02753816
  2160c2171
  < 1 -0.002626446 -0.001622107 0.01151003 0.0002264923 0.07723827 -0.007382317
  ---
  > 1 0.008000066 -0.0241312 -0.02175698 -0.007133504 0.06178181 -0.01312535
  2165c2176
  < 1 -0.01613668 0.01329837 -0.004458089 -0.04094305 -0.007382317 0.1569609
  ---
  > 1 0.01931686 -0.03099196 -0.07938726 -0.02753816 -0.01312535 0.1127387
  2169,2174c2180,2185
  < d_y1_d_x1 0.021337080 -0.005429203 0.005264673 0.0070041384 -0.0026264455
  < d_y2_d_x1 -0.005429203 0.042132570 0.007828535 -0.0037489882 -0.0016221074
  < d_y3_d_x1 0.005264673 0.007828535 0.055535771 -0.0079084201 0.0115100314
  < d_y1_d_x2 0.007004138 -0.003748988 -0.007908420 0.0367378002 0.0002264923
  < d_y2_d_x2 -0.002626446 -0.001622107 0.011510031 0.0002264923 0.0772382718
  < d_y3_d_x2 -0.016136679 0.013298366 -0.004458089 -0.0409430473 -0.0073823169
  ---
  > 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
  2176,2181c2187,2192
  < d_y1_d_x1 -0.016136679
  < d_y2_d_x1 0.013298366
  < d_y3_d_x1 -0.004458089
  < d_y1_d_x2 -0.040943047
  < d_y2_d_x2 -0.007382317
  < d_y3_d_x2 0.156960904
  ---
  > 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
  2186c2197
  < 1 -0.2738331 0.02367391 0.03378244 0.2269015 -0.007914599 -0.0004236277
  ---
  > 1 -0.2756386 0.0364304 0.0215077 0.3042895 -0.03868758 -0.0142573
  2191c2202
  < 1 0.04166222 -0.008028791 -0.026931 0.1087523 -0.003582614 -8.865819e-05
  ---
  > 1 0.1088669 -0.01679466 -0.04018058 0.1456903 -0.01858427 -0.006984302
  2196c2207
  < 1 -0.04009143 0.003466056 0.004946029 0.186367 -0.02285574 -0.05147166
  ---
  > 1 -0.04035577 0.005333712 0.003148906 0.2999736 -0.04553434 -0.06522682
  2201c2212
  < 1 0.02428165 0.1467226 0.01349259 -0.008633486 -0.2989818 -0.0407462
  ---
  > 1 0.02941159 0.02467612 0.002072237 -0.02415646 -0.06594595 -0.009121088
  2206c2217
  < 1 -0.006738843 0.3937124 0.03598476 -0.003787299 -0.1433807 -0.0186253
  ---
  > 1 -0.02144958 0.3747664 0.01507689 -0.0111527 -0.03157062 -0.004266047
  2211c2222
  < 1 0.003555034 0.0214814 0.001975427 -0.02031572 0.2868158 0.02619057
  ---
  > 1 0.0043061 0.003612788 0.0003033925 -0.04436203 0.3924182 0.01701016
  2216c2227
  < 1 0.05009095 0.0129611 0.1200418 -0.03086606 -0.03722654 -0.2678229
  ---
  > 1 0.03799907 -0.001971137 0.1107795 -0.03651136 -0.0007867617 -0.1786325
  2221c2232
  < 1 -0.01137697 0.03349914 0.4004722 -0.01531963 -0.01789991 -0.1290137
  ---
  > 1 -0.02673914 0.01016274 0.3997707 -0.01807419 -0.0004326831 -0.08606061
  2226c2237
  < 1 0.007333729 0.001897612 0.01757511 -0.04075561 0.0227764 0.32167
  ---
  > 1 0.005563378 -0.0002885908 0.01621904 -0.06032818 0.013186 0.36048
  2231c2242
  < 1 0.037724 -0.04742407 -0.01250633 0.004985806 0.01757534 -0.02709682
  ---
  > 1 0.05911053 -0.1147012 9.086992e-05 0.002458758 0.1113038 -0.03156968
  2236c2247
  < 1 -0.1202531 5.015688e-05 -0.1526501 0.01016427 0.0232055 0.102104
  ---
  > 1 -0.04741947 -0.002969002 -0.1719091 -0.02077546 0.01841092 0.1872539
  2241c2252
  < 1 0.002095667 0.1956486 -0.1913161 0.002506294 -0.4276814 0.3834871
  ---
  > 1 -0.001938164 0.2156583 -0.2744872 0.00173081 -0.3540987 0.4665918
  2245,2250c2256,2261
  < d_y1_d_x1 -0.2738330730 4.166222e-02 -0.040091426 0.024281648 -0.006738843
  < d_y2_d_x1 0.0236739108 -8.028791e-03 0.003466056 0.146722605 0.393712365
  < d_y3_d_x1 0.0337824444 -2.693100e-02 0.004946029 0.013492589 0.035984756
  < d_y1_d_x2 0.2269014989 1.087523e-01 0.186367038 -0.008633486 -0.003787299
  < d_y2_d_x2 -0.0079145991 -3.582614e-03 -0.022855736 -0.298981800 -0.143380732
  < d_y3_d_x2 -0.0004236277 -8.865819e-05 -0.051471655 -0.040746196 -0.018625298
  ---
  > 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
  2252,2257c2263,2268
  < d_y1_d_x1 0.003555034 0.05009095 -0.01137697 0.007333729 0.037724002
  < d_y2_d_x1 0.021481402 0.01296110 0.03349914 0.001897612 -0.047424065
  < d_y3_d_x1 0.001975427 0.12004179 0.40047217 0.017575111 -0.012506328
  < d_y1_d_x2 -0.020315723 -0.03086606 -0.01531963 -0.040755611 0.004985806
  < d_y2_d_x2 0.286815787 -0.03722654 -0.01789991 0.022776404 0.017575342
  < d_y3_d_x2 0.026190572 -0.26782289 -0.12901374 0.321669996 -0.027096822
  ---
  > 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
  2259,2264c2270,2275
  < d_y1_d_x1 -1.202531e-01 0.002095667
  < d_y2_d_x1 5.015688e-05 0.195648575
  < d_y3_d_x1 -1.526501e-01 -0.191316054
  < d_y1_d_x2 1.016427e-02 0.002506294
  < d_y2_d_x2 2.320550e-02 -0.427681400
  < d_y3_d_x2 1.021040e-01 0.383487117
  ---
  > d_y1_d_x1 -0.047419474 -0.001938164
  > d_y2_d_x1 -0.002969002 0.215658265
  > d_y3_d_x1 -0.171909133 -0.274487242
  > d_y1_d_x2 -0.020775461 0.001730810
  > d_y2_d_x2 0.018410922 -0.354098693
  > d_y3_d_x2 0.187253948 0.466591818
  2267,2272c2278,2283
  < d_y1_d_x1 0.2084 0.1461 1.427 0.1536
  < d_y2_d_x1 0.2600 0.2053 1.267 0.2052
  < d_y3_d_x1 -0.2475 0.2357 -1.050 0.2937
  < d_y1_d_x2 -0.1534 0.1917 -0.800 0.4235
  < d_y2_d_x2 -0.4660 0.2779 -1.677 0.0936 .
  < d_y3_d_x2 0.5140 0.3962 1.297 0.1945
  ---
  > d_y1_d_x1 0.2899 0.1708 1.697 0.0897 .
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3706 0.3530 -1.050 0.2937
  > 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
  2289,2294c2300,2305
  < d_y1_d_x1 0.2015 0.1646 1.224 0.2209
  < d_y2_d_x1 0.2595 0.2083 1.246 0.2129
  < d_y3_d_x1 -0.2542 0.2535 -1.003 0.3161
  < d_y1_d_x2 -0.1534 0.1917 -0.800 0.4235
  < d_y2_d_x2 -0.4660 0.2779 -1.677 0.0936 .
  < d_y3_d_x2 0.5140 0.3962 1.297 0.1945
  ---
  > 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
  2304,2309c2315,2320
  < d_y1_d_x1 0.2084 0.1461 1.427 0.1536
  < d_y2_d_x1 0.2600 0.2053 1.267 0.2052
  < d_y3_d_x1 -0.2475 0.2357 -1.050 0.2937
  < d_y1_d_x2 -0.2322 0.2438 -0.952 0.3409
  < d_y2_d_x2 -0.3032 0.1621 -1.871 0.0614 .
  < d_y3_d_x2 0.3489 0.1533 2.276 0.0228 *
  ---
  > d_y1_d_x1 0.2899 0.1708 1.697 0.0897 .
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3706 0.3530 -1.050 0.2937
  > d_y1_d_x2 -0.3917 0.2790 -1.404 0.1603
  > d_y2_d_x2 -0.4423 0.1491 -2.967 0.0030 **
  > d_y3_d_x2 0.3928 0.1621 2.423 0.0154 *
  2319,2368c2330,2379
  < 1 8.445590e-02 0.233444267 -0.227319312 -1.330769e-01 -0.2868323853
  < 2 5.347037e-02 0.295693021 -0.237547223 -1.013043e-01 -0.4158830252
  < 3 5.210270e-02 0.298027842 -0.237218291 -4.874218e-03 -0.5816125747
  < 4 2.332293e-01 0.019300955 -0.047082702 -5.524686e-02 -0.0791169866
  < 5 3.653476e-02 0.318033987 -0.226042621 -2.782519e-03 -0.5499990736
  < 6 2.501248e-01 0.011380517 -0.031973122 -6.076987e-02 -0.0497024099
  < 7 5.658354e-04 0.069806340 -0.027259431 -3.685587e-06 -0.0454572901
  < 8 1.283988e-01 0.144984535 -0.180883748 -1.609154e-01 -0.1524839601
  < 9 6.930398e-02 0.265276992 -0.235917191 -1.190084e-01 -0.3464923903
  < 10 7.993476e-02 0.243034715 -0.230452376 -1.291492e-01 -0.3038976414
  < 11 1.005018e-01 0.199677666 -0.213170946 -1.411488e-02 -0.5029095437
  < 12 1.953028e-02 0.309395777 -0.188661651 -1.050591e-03 -0.4414619006
  < 13 2.902595e-02 0.320384445 -0.213997503 -1.941918e-03 -0.5148046369
  < 14 4.391820e-03 0.195152346 -0.094114140 -1.061639e-04 -0.1906645109
  < 15 3.666998e-03 0.180526039 -0.085202887 -1.269275e-02 -0.4433544831
  < 16 9.070026e-02 0.220207700 -0.222327111 -1.193118e-02 -0.5310845420
  < 17 1.096284e-01 0.181060095 -0.203462033 -1.628602e-02 -0.4737400239
  < 18 6.165728e-02 0.280587550 -0.237842585 -1.108721e-01 -0.3791929244
  < 19 1.758008e-01 0.071241590 -0.116855864 -3.558893e-02 -0.2377472992
  < 20 3.041671e-01 0.001137332 -0.005433292 -1.700872e-01 -0.0005317208
  < 21 2.008051e-02 0.310669313 -0.190546581 -5.032921e-02 -0.5563612302
  < 22 9.841767e-06 0.006087276 -0.001687782 -6.163759e-05 -0.0261783062
  < 23 1.872041e-01 0.057641473 -0.101508889 -1.745324e-01 -0.0488597971
  < 24 1.133124e-02 0.274287162 -0.151196931 -3.216076e-02 -0.5536482051
  < 25 1.201904e-02 0.278790163 -0.155199983 -3.370935e-02 -0.5562195923
  < 26 1.898761e-01 0.054693939 -0.097978273 -1.746603e-01 -0.0458589151
  < 27 3.226371e-02 0.320228312 -0.219878165 -2.290308e-03 -0.5319986148
  < 28 2.150645e-03 0.140859027 -0.062658335 -3.493042e-05 -0.1181186732
  < 29 7.584846e-02 0.251661132 -0.232891623 -1.254053e-01 -0.3198630701
  < 30 4.348922e-02 0.310911906 -0.232923218 -3.660514e-03 -0.5698599937
  < 31 5.683253e-02 0.289700248 -0.237999426 -5.598175e-03 -0.5832407350
  < 32 1.012428e-01 0.198145253 -0.212421575 -1.458127e-01 -0.2289255669
  < 33 2.668470e-02 0.319482975 -0.208986331 -1.703698e-03 -0.5001797033
  < 34 1.367862e-01 0.130015313 -0.169995308 -2.349690e-02 -0.3776785430
  < 35 3.693502e-02 0.317731381 -0.226537913 -2.830507e-03 -0.5514409565
  < 36 9.429412e-02 0.212631870 -0.219142516 -1.271385e-02 -0.5212016363
  < 37 1.993427e-01 0.044981010 -0.085739977 -4.358084e-02 -0.1630679203
  < 38 1.078754e-01 0.184589524 -0.205403429 -1.500932e-01 -0.2083523858
  < 39 2.949709e-02 0.320456216 -0.214925382 -6.711386e-02 -0.5250662850
  < 40 2.061025e-01 0.038738104 -0.077312388 -1.747728e-01 -0.0303155721
  < 41 1.855481e-01 0.059513780 -0.103711246 -1.744357e-01 -0.0507854948
  < 42 1.233536e-01 0.154347949 -0.187230054 -1.585988e-01 -0.1651662557
  < 43 8.267808e-02 0.237218039 -0.228602739 -1.315588e-01 -0.2934677278
  < 44 1.414884e-02 0.290539271 -0.166418824 -6.394143e-04 -0.3787858563
  < 45 2.322902e-01 0.019829926 -0.048014662 -5.493022e-02 -0.0810027715
  < 46 1.522173e-02 0.295389226 -0.171482436 -4.062316e-02 -0.5615842074
  < 47 3.167176e-01 0.000570017 -0.003122813 -1.704098e-01 -0.0002473562
  < 48 2.519108e-01 0.010711684 -0.030567242 -1.716443e-01 -0.0067110643
  < 49 3.579058e-02 0.318555780 -0.225086115 -2.694136e-03 -0.5472118016
  < 50 4.277996e-03 0.192992530 -0.092775365 -1.445163e-02 -0.4627278151
  ---
  > 1 1.766878e-01 0.3432683006 -0.349264084 -2.905192e-01 -0.431320149
  > 2 1.153484e-01 0.3596761868 -0.361870523 -2.291899e-01 -0.534231845
  > 3 1.124992e-01 0.3590246655 -0.361244529 -2.793627e-02 -0.487346175
  > 4 3.609633e-01 0.0694645017 -0.073360073 -2.641422e-01 -0.212280074
  > 5 7.929731e-02 0.3381003318 -0.343223755 -1.566558e-02 -0.393227059
  > 6 3.656145e-01 0.0477528062 -0.049586181 -2.816339e-01 -0.155486156
  > 7 8.025561e-04 0.0243038218 -0.053506160 -1.527073e-05 -0.007237107
  > 8 2.521476e-01 0.2683878275 -0.280778222 -3.333443e-01 -0.279546562
  > 9 1.474786e-01 0.3575139395 -0.360949264 -2.644338e-01 -0.484431688
  > 10 1.681334e-01 0.3484655128 -0.353640857 -2.833560e-01 -0.447376972
  > 11 2.058976e-01 0.3200081428 -0.328883694 -7.986489e-02 -0.589315642
  > 12 4.168856e-02 0.2699812896 -0.287657466 -5.571664e-03 -0.243054031
  > 13 6.282471e-02 0.3159154131 -0.324960430 -1.073426e-02 -0.333603918
  > 14 8.252791e-03 0.1126141858 -0.152735168 -4.572389e-04 -0.059829478
  > 15 6.746420e-03 0.0994122211 -0.139996990 -2.632565e-02 -0.288927939
  > 16 1.882725e-01 0.3350175752 -0.342159788 -6.792645e-02 -0.587079795
  > 17 2.216808e-01 0.3042766603 -0.314583141 -9.149649e-02 -0.584884106
  > 18 1.321608e-01 0.3605724669 -0.363116108 -2.485573e-01 -0.509670665
  > 19 3.158634e-01 0.1708741212 -0.182528222 -1.857743e-01 -0.425124122
  > 20 3.485063e-01 0.0089781736 -0.008180068 -2.345984e-01 -0.003748684
  > 21 4.291995e-02 0.2733599693 -0.290399333 -1.159976e-01 -0.546465697
  > 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
  > 26 3.305961e-01 0.1430659182 -0.153133861 -3.367554e-01 -0.115360878
  > 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
  > 30 9.429876e-02 0.3508881318 -0.354022707 -2.082622e-02 -0.439897027
  > 31 1.223036e-01 0.3606360268 -0.362878409 -3.215382e-02 -0.508926710
  > 32 2.072019e-01 0.3187872119 -0.327786882 -3.119477e-01 -0.371500823
  > 33 5.764014e-02 0.3067479621 -0.317490037 -9.343950e-03 -0.312912586
  > 34 2.648576e-01 0.2513939487 -0.264277278 -1.285951e-01 -0.541550064
  > 35 8.016769e-02 0.3390172205 -0.343988258 -1.594768e-02 -0.396128892
  > 36 1.948154e-01 0.3297783990 -0.337571598 -7.222469e-02 -0.588794382
  > 37 3.392636e-01 0.1252130591 -0.134006462 -2.200645e-01 -0.338577089
  > 38 2.186971e-01 0.3074074008 -0.317457008 -3.185751e-01 -0.348283944
  > 39 6.386541e-02 0.3176168542 -0.326350396 -1.548071e-01 -0.569646523
  > 40 3.447918e-01 0.1129864533 -0.120815575 -3.296734e-01 -0.084487730
  > 41 3.262940e-01 0.1514742551 -0.162075820 -3.381530e-01 -0.124524063
  > 42 2.442291e-01 0.2783830069 -0.290342133 -3.304651e-01 -0.295930967
  > 43 1.733393e-01 0.3453955758 -0.351067885 -2.876942e-01 -0.437623959
  > 44 2.964178e-02 0.2306743304 -0.255570394 -3.255863e-03 -0.183536972
  > 45 3.605765e-01 0.0708014583 -0.074824779 -2.630649e-01 -0.215616043
  > 46 3.204143e-02 0.2395251689 -0.262837614 -9.298174e-02 -0.514706219
  > 47 3.372268e-01 0.0053924513 -0.004646657 -2.167553e-01 -0.002057801
  > 48 3.658413e-01 0.0457324170 -0.047379524 -2.956531e-01 -0.026781378
  > 49 7.767693e-02 0.3363308212 -0.341751326 -1.514612e-02 -0.387759683
  > 50 8.014647e-03 0.1106081689 -0.150825136 -3.042539e-02 -0.312672067
  2370,2419c2381,2430
  < 1 0.438209207
  < 2 0.531816294
  < 3 0.509005967
  < 4 0.156313006
  < 5 0.460696582
  < 6 0.112129864
  < 7 0.032232221
  < 8 0.284120702
  < 9 0.488416670
  < 10 0.453711527
  < 11 0.513569144
  < 12 0.353209458
  < 13 0.422537012
  < 14 0.144539515
  < 15 0.291351217
  < 16 0.524406610
  < 17 0.499765187
  < 18 0.511024460
  < 19 0.331829750
  < 20 0.002318250
  < 21 0.523960954
  < 22 0.008812482
  < 23 0.117116285
  < 24 0.452619350
  < 25 0.460887669
  < 26 0.111261004
  < 27 0.440473252
  < 28 0.087610658
  < 29 0.467394333
  < 30 0.486618332
  < 31 0.517545456
  < 32 0.378907577
  < 33 0.407964996
  < 34 0.442249008
  < 35 0.462411008
  < 36 0.520955318
  < 37 0.258264184
  < 38 0.355317056
  < 39 0.551777607
  < 40 0.079324869
  < 41 0.120828471
  < 42 0.301222679
  < 43 0.444343893
  < 44 0.298512541
  < 45 0.158941203
  < 46 0.492360419
  < 47 0.001143376
  < 48 0.022193607
  < 49 0.457430313
  < 50 0.312100195
  ---
  > 1 0.3901083245
  > 2 0.4976933698
  > 3 0.4538180474
  > 4 0.2097690590
  > 5 0.3905351556
  > 6 0.1540883658
  > 7 0.0283912383
  > 8 0.2361440541
  > 9 0.4453484740
  > 10 0.4068752259
  > 11 0.5244770677
  > 12 0.2823961637
  > 13 0.3491159968
  > 14 0.1126532519
  > 15 0.3345042190
  > 16 0.5221262890
  > 17 0.5221842932
  > 18 0.4717298386
  > 19 0.4018382483
  > 20 0.0012165800
  > 21 0.5283221758
  > 22 0.0220435519
  > 23 0.0875151197
  > 24 0.4749678438
  > 25 0.4816140290
  > 26 0.0826818553
  > 27 0.3680158264
  > 28 0.0701926441
  > 29 0.4218168732
  > 30 0.4221148377
  > 31 0.4682078465
  > 32 0.3286910106
  > 33 0.3343496420
  > 34 0.4927044671
  > 35 0.3925162504
  > 36 0.5235976288
  > 37 0.3272971776
  > 38 0.3050670491
  > 39 0.5415919200
  > 40 0.0569044620
  > 41 0.0905951790
  > 42 0.2524085679
  > 43 0.3967870889
  > 44 0.2345316689
  > 45 0.2129895987
  > 46 0.5060433880
  > 47 0.0005616506
  > 48 0.0141168576
  > 49 0.3867950466
  > 50 0.3535086386
  2428c2439
  < 1 0.07183765 0.2600454 -0.2348835 -0.0427382 -0.4659631 0.5262253
  ---
  > 1 0.1524699 0.3558136 -0.3596246 -0.1438174 -0.570811 0.5246618
  2433c2444
  < 1 0.3190261 0.02869872 -0.02037448 -0.243577 0.002580042 0.1553251
  ---
  > 1 0.7075564 -0.04370243 -0.2055559 -0.7499063 0.0007832827 0.2023201
  2438c2449
  < 1 0.02869872 0.04213257 0.01072263 -0.02472017 -0.001622107 0.009235932
  ---
  > 1 -0.04370243 0.05320172 0.03726478 0.04091681 -0.0241312 -0.03729361
  2443c2454
  < 1 -0.02037448 0.01072263 0.05590232 0.01395373 0.007532583 -0.01300224
  ---
  > 1 -0.2055559 0.03726478 0.1611677 0.2190094 -0.02792443 -0.1079185
  2448c2459
  < 1 -0.243577 -0.02472017 0.01395373 0.1943391 -0.004249948 -0.1340561
  ---
  > 1 -0.7499063 0.04091681 0.2190094 0.8052599 2.871672e-05 -0.2123891
  2453c2464
  < 1 0.002580042 -0.001622107 0.007532583 -0.004249948 0.07723827 0.004397521
  ---
  > 1 0.0007832827 -0.0241312 -0.02792443 2.871672e-05 0.06178181 -0.004283597
  2458c2469
  < 1 0.1553251 0.009235932 -0.01300224 -0.1340561 0.004397521 0.1929851
  ---
  > 1 0.2023201 -0.03729361 -0.1079185 -0.2123891 -0.004283597 0.1320079
  2462,2467c2473,2478
  < d_y1_d_x1 0.319026111 0.028698725 -0.020374483 -0.243576995 0.002580042
  < d_y2_d_x1 0.028698725 0.042132570 0.010722628 -0.024720172 -0.001622107
  < d_y3_d_x1 -0.020374483 0.010722628 0.055902316 0.013953732 0.007532583
  < d_y1_d_x2 -0.243576995 -0.024720172 0.013953732 0.194339128 -0.004249948
  < d_y2_d_x2 0.002580042 -0.001622107 0.007532583 -0.004249948 0.077238272
  < d_y3_d_x2 0.155325098 0.009235932 -0.013002238 -0.134056072 0.004397521
  ---
  > 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
  2469,2474c2480,2485
  < d_y1_d_x1 0.155325098
  < d_y2_d_x1 0.009235932
  < d_y3_d_x1 -0.013002238
  < d_y1_d_x2 -0.134056072
  < d_y2_d_x2 0.004397521
  < d_y3_d_x2 0.192985074
  ---
  > 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
  2477,2482c2488,2493
  < d_y1_d_x1 0.07184 0.56482 0.127 0.8988
  < d_y2_d_x1 0.26005 0.20526 1.267 0.2052
  < d_y3_d_x1 -0.23488 0.23644 -0.993 0.3205
  < d_y1_d_x2 -0.04274 0.44084 -0.097 0.9228
  < d_y2_d_x2 -0.46596 0.27792 -1.677 0.0936 .
  < d_y3_d_x2 0.52623 0.43930 1.198 0.2310
  ---
  > d_y1_d_x1 0.1525 0.8412 0.181 0.8562
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3596 0.4015 -0.896 0.3704
  > 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' ...158c158
  < 2 0.36422466 0.85124795 0.31421869
  ---
  > 2 0.36422466 0.74444655 0.11898201
  160,161c160,161
  < 4 0.19744044 0.67487372 0.20559572
  < 5 0.62321758 0.54232735 0.61762471
  ---
  > 4 0.19744044 0.81305670 0.46088740
  > 5 0.46887344 0.54232735 0.70688505
  164c164
  < 8 0.69538906 0.32138019 0.78280394
  ---
  > 8 0.88954588 0.24377749 0.78280394
  201,203c201,203
  < [1] "Component 1: Mean relative difference: 8.379214e-05"
  < [2] "Component 2: Mean relative difference: 6.334469e-05"
  < [3] "Component 3: Mean relative difference: 8.275035e-05"
  ---
  > [1] "Component 1: Mean relative difference: 9.258897e-05"
  > [2] "Component 2: Mean relative difference: 5.029085e-05"
  > [3] "Component 3: Mean relative difference: 0.0001009532"
  209,211c209,211
  < [1] "Component 1: Mean relative difference: 6.030919e-06"
  < [2] "Component 2: Mean relative difference: 4.761234e-06"
  < [3] "Component 3: Mean relative difference: 5.435534e-06"
  ---
  > [1] "Component 1: Mean relative difference: 4.471818e-06"
  > [2] "Component 2: Mean relative difference: 3.954285e-06"
  > [3] "Component 3: Mean relative difference: 4.758699e-06"
  217,219c217,219
  < [1] "Component 1: Mean relative difference: 8.378169e-05"
  < [2] "Component 2: Mean relative difference: 6.334194e-05"
  < [3] "Component 3: Mean relative difference: 8.275603e-05"
  ---
  > [1] "Component 1: Mean relative difference: 9.258463e-05"
  > [2] "Component 2: Mean relative difference: 5.028616e-05"
  > [3] "Component 3: Mean relative difference: 0.0001009503"
  225,227c225,227
  < [1] "Component 1: Mean relative difference: 0.07322259"
  < [2] "Component 2: Mean relative difference: 0.04777342"
  < [3] "Component 3: Mean relative difference: 0.02371844"
  ---
  > [1] "Component 1: Mean relative difference: 0.05130138"
  > [2] "Component 2: Mean relative difference: 0.04744355"
  > [3] "Component 3: Mean relative difference: 0.02586555"
  233,235c233,235
  < [1] "Component 1: Mean relative difference: 0.003270405"
  < [2] "Component 2: Mean relative difference: 0.002604943"
  < [3] "Component 3: Mean relative difference: 0.003648763"
  ---
  > [1] "Component 1: Mean relative difference: 0.002650961"
  > [2] "Component 2: Mean relative difference: 0.002438056"
  > [3] "Component 3: Mean relative difference: 0.00287644"
  241,243c241,243
  < [1] "Component 1: Mean relative difference: 0.02606565"
  < [2] "Component 2: Mean relative difference: 0.01547738"
  < [3] "Component 3: Mean relative difference: 0.02685395"
  ---
  > [1] "Component 1: Mean relative difference: 0.01486969"
  > [2] "Component 2: Mean relative difference: 0.0173985"
  > [3] "Component 3: Mean relative difference: 0.01629308"
  258,267c258,267
  < [1,] 0.0192 0.7362 0.1858
  < [2,] 0.4008 0.7716 0.2157
  < [3,] 0.1251 0.7867 0.1925
  < [4,] 0.2324 0.6851 0.2859
  < [5,] 0.6771 0.4283 0.5806
  < [6,] 0.0295 0.9757 0.0345
  < [7,] 0.9613 0.1816 0.7811
  < [8,] 0.8567 0.2530 0.7277
  < [9,] 0.0560 0.9682 0.0341
  < [10,] 0.9975 0.0670 0.9207
  ---
  > [1,] 0.0192 0.7292 0.1974
  > [2,] 0.4004 0.7599 0.2151
  > [3,] 0.1185 0.7867 0.1978
  > [4,] 0.2374 0.6843 0.2992
  > [5,] 0.6817 0.4368 0.5779
  > [6,] 0.0275 0.9709 0.0356
  > [7,] 0.9580 0.1843 0.7872
  > [8,] 0.8551 0.2551 0.7156
  > [9,] 0.0624 0.9697 0.0332
  > [10,] 0.9984 0.0636 0.9231
  270,279c270,279
  < [1,] -0.0016689243 1.077121e-02 -0.0083102441
  < [2,] 0.0068765951 3.170594e-03 0.0020610027
  < [3,] 0.0005435525 -1.156035e-03 -0.0039267157
  < [4,] -0.0024539159 4.400442e-03 -0.0059390276
  < [5,] -0.0028933343 -6.375618e-03 0.0019840121
  < [6,] 0.0015800371 2.989823e-03 0.0007997717
  < [7,] 0.0031358902 -4.700281e-03 -0.0030444398
  < [8,] 0.0003073384 6.324570e-03 0.0038168288
  < [9,] -0.0047363575 -2.362818e-05 -0.0003476431
  < [10,] -0.0003799086 -3.497231e-04 -0.0018784545
  ---
  > [1,] -0.0016689243 0.003771207 0.0032897559
  > [2,] 0.0064765951 -0.008529406 0.0014610027
  > [3,] -0.0060564475 -0.001156035 0.0013732843
  > [4,] 0.0025460841 0.003600442 0.0073609724
  > [5,] 0.0017066657 0.002124382 -0.0007159879
  > [6,] -0.0004199629 -0.001810177 0.0018997717
  > [7,] -0.0001641098 -0.002000281 0.0030555602
  > [8,] -0.0012926616 0.008424570 -0.0082831712
  > [9,] 0.0016636425 0.001476372 -0.0012476431
  > [10,] 0.0005200914 -0.003749723 0.0005215455
  290,291c290,291
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  310c310
  < [1] "Mean relative difference: 7.702707e-05"
  ---
  > [1] "Mean relative difference: 8.840686e-05"
  316c316
  < [1] "Mean relative difference: 5.070498e-06"
  ---
  > [1] "Mean relative difference: 4.53253e-06"
  322c322
  < [1] "Mean relative difference: 7.70181e-05"
  ---
  > [1] "Mean relative difference: 8.840067e-05"
  328c328
  < [1] "Mean relative difference: 0.05497947"
  ---
  > [1] "Mean relative difference: 0.05527167"
  333c333
  < [1] "Mean relative difference: 0.002444357"
  ---
  > [1] "Mean relative difference: 0.002220837"
  339c339
  < [1] "Mean relative difference: 0.01970199"
  ---
  > [1] "Mean relative difference: 0.01480876"
  346,347c346,347
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  351c351
  < [2,] 1.082645070 0.00000000 1.08264507 -0.235989467 -0.319457687
  ---
  > [2,] -0.620181812 0.00000000 -0.62018181 0.135184078 0.182997967
  353,354c353,354
  < [4,] -0.367399256 -0.36739926 -0.36739926 0.267794095 -0.322625590
  < [5,] 0.656200625 0.65620062 0.00000000 -0.410151158 0.539122019
  ---
  > [4,] 1.493926467 1.49392647 1.49392647 -1.088909899 1.311866859
  > [5,] 0.917269941 0.91726994 0.00000000 -0.573329732 0.753611630
  357c357
  < [8,] 0.543556919 0.00000000 0.00000000 0.083367019 -0.033652539
  ---
  > [8,] 0.224807263 0.00000000 0.00000000 0.034479391 -0.013918202
  362c362
  < [2,] 0.27901320 0.0000000 0.27901320 -0.06081788 -0.08232884 -0.54999962
  ---
  > [2,] 0.43840786 0.0000000 0.43840786 -0.09556192 -0.12936166 -0.24068300
  364,365c364,365
  < [4,] 0.54004579 0.5400458 0.54004579 -0.39363464 0.47423229 -0.37779301
  < [5,] 0.74825688 0.7482569 0.00000000 -0.46768993 0.61475370 -1.04802116
  ---
  > [4,] 0.33970605 0.3397061 0.33970605 -0.24760876 0.29830726 -0.79100711
  > [5,] -0.88642408 -0.8864241 0.00000000 0.55404986 -0.72826926 -1.24501533
  368c368
  < [8,] -0.53763498 0.0000000 0.00000000 -0.08245875 0.03328590 -1.41145183
  ---
  > [8,] -0.41846140 0.0000000 0.00000000 -0.06418073 0.02590766 0.39132057
  371,392c371,392
  < b_3_1 b_3_2 b_3_3 b_3_4 R_1_2
  < [1,] 0.00000000 -0.31393241 0.33522447 -0.13388094 -0.0089522200
  < [2,] 0.00000000 -0.54999962 0.11988612 0.16228920 0.3683881757
  < [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604012
  < [4,] -0.37779301 -0.37779301 0.27537001 -0.33175270 -0.1457180321
  < [5,] -1.04802116 0.00000000 0.65505438 -0.86103436 0.5869342496
  < [6,] -0.07038947 -0.07038947 0.11872545 -0.04847302 -0.0020805973
  < [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688745
  < [8,] 0.00000000 0.00000000 -0.21647877 0.08738540 -0.2214369510
  < [9,] 0.00000000 -0.06658594 0.07578392 0.02037281 -0.0038911046
  < [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026087
  < R_1_3 R_2_3
  < [1,] 0.031648334 -0.161540001
  < [2,] -0.423446760 -0.189573865
  < [3,] 0.118484255 -0.129196504
  < [4,] 0.232939526 -0.239399521
  < [5,] -0.496899606 -0.857752827
  < [6,] 0.015112572 -0.006549753
  < [7,] 0.055215326 -0.129101410
  < [8,] -0.576005736 0.694568052
  < [9,] 0.024566263 -0.007700663
  < [10,] 0.003157443 -0.026654477
  ---
  > b_3_1 b_3_2 b_3_3 b_3_4 R_1_2 R_1_3
  > [1,] 0.00000000 -0.31393241 0.33522447 -0.13388094 -0.0089522200 0.031648334
  > [2,] 0.00000000 -0.24068300 0.05246286 0.07101869 -0.2109161681 0.242606606
  > [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604016 0.118484255
  > [4,] -0.79100711 -0.79100711 0.57655815 -0.69460983 0.5931737070 -0.947273870
  > [5,] -1.24501533 0.00000000 0.77818347 -1.02288104 -0.6958962371 -0.901556093
  > [6,] -0.07038947 -0.07038947 0.11872545 -0.04847302 -0.0020805973 0.015112572
  > [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688745 0.055215327
  > [8,] 0.00000000 0.00000000 0.06001806 -0.02422733 -0.0620710172 0.159552938
  > [9,] 0.00000000 -0.06658594 0.07578392 0.02037281 -0.0038911046 0.024566263
  > [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026088 0.003157443
  > R_2_3
  > [1,] -0.161540001
  > [2,] -0.132532626
  > [3,] -0.129196504
  > [4,] -0.319508443
  > [5,] 1.016442887
  > [6,] -0.006549753
  > [7,] -0.129101410
  > [8,] -0.192174063
  > [9,] -0.007700663
  > [10,] -0.026654477
  404,405c404,405
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  409,412c409,412
  < [2,] 1.082645463 0.00000000 1.08264546 -0.235989552 -0.319457802
  < [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935271
  < [4,] -0.367399024 -0.36739902 -0.36739902 0.267793926 -0.322625386
  < [5,] 0.656200952 0.65620095 0.00000000 -0.410151363 0.539122288
  ---
  > [2,] -0.620181508 0.00000000 -0.62018151 0.135184011 0.182997877
  > [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935272
  > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
  > [5,] 0.917270326 0.91727033 0.00000000 -0.573329973 0.753611947
  414,415c414,415
  < [7,] 0.071223890 0.07122389 0.07122389 0.059670453 0.039452170
  < [8,] 0.543557219 0.00000000 0.00000000 0.083367065 -0.033652557
  ---
  > [7,] 0.071223890 0.07122389 0.07122389 0.059670452 0.039452170
  > [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918213
  420c420
  < [2,] 0.27901339 0.00000000 0.27901339 -0.06081792 -0.08232889 -0.54999933
  ---
  > [2,] 0.43840810 0.00000000 0.43840810 -0.09556197 -0.12936173 -0.24068282
  422,423c422,423
  < [4,] 0.54004606 0.54004606 0.54004606 -0.39363483 0.47423253 -0.37779278
  < [5,] 0.74825720 0.74825720 0.00000000 -0.46769013 0.61475396 -1.04802077
  ---
  > [4,] 0.33970627 0.33970627 0.33970627 -0.24760892 0.29830745 -0.79100675
  > [5,] -0.88642374 -0.88642374 0.00000000 0.55404964 -0.72826897 -1.24501491
  426c426
  < [8,] -0.53763471 0.00000000 0.00000000 -0.08245871 0.03328588 -1.41145140
  ---
  > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
  430,439c430,439
  < [1,] 0.0000000 -0.31393221 0.33522426 -0.13388086 -0.0089522338 0.03164832
  < [2,] 0.0000000 -0.54999933 0.11988606 0.16228912 0.3683883070 -0.42344660
  < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604440 0.11848420
  < [4,] -0.3777928 -0.37779278 0.27536984 -0.33175249 -0.1457180699 0.23293947
  < [5,] -1.0480208 0.00000000 0.65505413 -0.86103404 0.5869343478 -0.49689939
  < [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 -0.21647870 0.08738537 -0.2214369710 -0.57600536
  < [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
  442c442
  < [2,] -0.189573890
  ---
  > [2,] -0.132532661
  444,445c444,445
  < [4,] -0.239399537
  < [5,] -0.857752533
  ---
  > [4,] -0.319508409
  > [5,] 1.016443490
  448c448
  < [8,] 0.694568471
  ---
  > [8,] -0.192174094
  466c466
  < [2,] 1.082645463 0.00000000 1.08264546 -0.235989553 -0.319457802
  ---
  > [2,] -0.620181508 0.00000000 -0.62018151 0.135184012 0.182997877
  468,469c468,469
  < [4,] -0.367399024 -0.36739902 -0.36739902 0.267793926 -0.322625386
  < [5,] 0.656200952 0.65620095 0.00000000 -0.410151363 0.539122288
  ---
  > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
  > [5,] 0.917270326 0.91727033 0.00000000 -0.573329973 0.753611947
  472c472
  < [8,] 0.543557219 0.00000000 0.00000000 0.083367066 -0.033652557
  ---
  > [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918213
  477c477
  < [2,] 0.27901339 0.00000000 0.27901339 -0.06081792 -0.08232889 -0.54999933
  ---
  > [2,] 0.43840810 0.00000000 0.43840810 -0.09556197 -0.12936173 -0.24068282
  479,480c479,480
  < [4,] 0.54004606 0.54004606 0.54004606 -0.39363483 0.47423253 -0.37779278
  < [5,] 0.74825720 0.74825720 0.00000000 -0.46769013 0.61475396 -1.04802077
  ---
  > [4,] 0.33970627 0.33970627 0.33970627 -0.24760892 0.29830745 -0.79100675
  > [5,] -0.88642374 -0.88642374 0.00000000 0.55404964 -0.72826897 -1.24501491
  483c483
  < [8,] -0.53763471 0.00000000 0.00000000 -0.08245871 0.03328588 -1.41145140
  ---
  > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
  487,496c487,496
  < [1,] 0.0000000 -0.31393221 0.33522426 -0.13388086 -0.0089522338 0.03164832
  < [2,] 0.0000000 -0.54999933 0.11988606 0.16228912 0.3683883070 -0.42344660
  < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604440 0.11848420
  < [4,] -0.3777928 -0.37779278 0.27536984 -0.33175249 -0.1457180699 0.23293947
  < [5,] -1.0480208 0.00000000 0.65505413 -0.86103404 0.5869343478 -0.49689939
  < [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 -0.21647870 0.08738537 -0.2214369710 -0.57600536
  < [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
  499c499
  < [2,] -0.189573890
  ---
  > [2,] -0.132532661
  501,502c501,502
  < [4,] -0.239399537
  < [5,] -0.857752533
  ---
  > [4,] -0.319508409
  > [5,] 1.016443490
  505c505
  < [8,] 0.694568471
  ---
  > [8,] -0.192174094
  511,518c511,518
  < [2,] -3.624019e-07 NaN -3.626070e-07 -3.641876e-07 -3.629021e-07
  < [3,] 7.719152e-07 7.719152e-07 7.719152e-07 7.719682e-07 7.722624e-07
  < [4,] 6.318679e-07 6.318679e-07 6.318679e-07 6.326351e-07 6.322244e-07
  < [5,] -4.994474e-07 -4.994474e-07 NaN -4.992015e-07 -4.995042e-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,] -5.514787e-07 NaN NaN -5.549898e-07 -5.502885e-07
  < [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.726348e-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
  > [4,] -2.984521e-07 -2.984521e-07 -2.984521e-07 -2.982630e-07 -2.983360e-07
  > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
  > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
  > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
  > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
  > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
  522c522
  < [2,] -6.716726e-07 NaN -6.716726e-07 -6.687748e-07 -6.740666e-07
  ---
  > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
  524,526c524,526
  < [4,] -4.997633e-07 -4.997633e-07 -4.997633e-07 -4.993616e-07 -5.000363e-07
  < [5,] -4.273186e-07 -4.273186e-07 NaN -4.283653e-07 -4.283193e-07
  < [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.977849e-07 -9.994048e-07
  ---
  > [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.269256e-07
  > [5,] 3.897700e-07 3.897700e-07 NaN 3.899053e-07 3.900746e-07
  > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
  528,530c528,530
  < [8,] 5.067544e-07 NaN NaN 5.051686e-07 4.940358e-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,] 5.357337e-07 NaN 5.357337e-07 5.372772e-07 5.378767e-07
  < [3,] 6.762410e-07 6.762410e-07 6.762410e-07 6.752614e-07 6.761747e-07
  < [4,] 6.183044e-07 6.183044e-07 6.183044e-07 6.184765e-07 6.187119e-07
  < [5,] 3.711970e-07 3.711970e-07 NaN 3.698358e-07 3.715723e-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,] 3.026770e-07 NaN NaN 3.031594e-07 3.012907e-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
  543,547c543,547
  < [1,] -1.550204e-06 3.472920e-07 -1.876259e-07
  < [2,] -3.562229e-07 3.822690e-07 -1.311837e-07
  < [3,] -8.752904e-07 4.235339e-07 -2.990464e-07
  < [4,] -2.598072e-07 2.344943e-07 -6.770797e-08
  < [5,] -1.672141e-07 4.352419e-07 3.437766e-07
  ---
  > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
  > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
  > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
  > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
  > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
  549,552c549,552
  < [7,] -1.418697e-06 3.508699e-07 -2.906671e-07
  < [8,] -9.024696e-08 6.607308e-07 -6.032496e-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
  558,565c558,565
  < [2,] -3.923528e-07 0.000000e+00 -3.925749e-07 8.594447e-08 1.159319e-07
  < [3,] -1.612044e-07 -1.612044e-07 -1.612044e-07 1.654078e-07 -1.443631e-07
  < [4,] -2.321476e-07 -2.321476e-07 -2.321476e-07 1.694158e-07 -2.039716e-07
  < [5,] -3.277378e-07 -3.277378e-07 0.000000e+00 2.047482e-07 -2.692938e-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,] -2.997602e-07 0.000000e+00 0.000000e+00 -4.626787e-08 1.851862e-08
  < [9,] -1.062900e-07 0.000000e+00 -1.062900e-07 1.209281e-07 3.249322e-08
  ---
  > [2,] -3.042011e-07 0.000000e+00 -3.042011e-07 6.594388e-08 8.965504e-08
  > [3,] -1.610934e-07 -1.610934e-07 -1.610934e-07 1.654078e-07 -1.443631e-07
  > [4,] -4.458656e-07 -4.458656e-07 -4.458656e-07 3.247817e-07 -3.913773e-07
  > [5,] -3.854694e-07 -3.854694e-07 0.000000e+00 2.409993e-07 -3.164328e-07
  > [6,] -6.321332e-08 -6.321332e-08 -6.321332e-08 1.064345e-07 -4.340476e-08
  > [7,] -7.377432e-08 -7.377432e-08 -7.377432e-08 -6.209700e-08 -4.102726e-08
  > [8,] -1.705303e-07 0.000000e+00 0.000000e+00 -2.619649e-08 1.039898e-08
  > [9,] -1.062900e-07 0.000000e+00 -1.062900e-07 1.209281e-07 3.235444e-08
  569c569
  < [2,] -1.874056e-07 0.000000e+00 -1.874056e-07 4.067349e-08 5.549515e-08
  ---
  > [2,] -2.428058e-07 0.000000e+00 -2.428058e-07 5.277654e-08 7.163994e-08
  571,573c571,573
  < [4,] -2.698952e-07 -2.698952e-07 -2.698952e-07 1.965661e-07 -2.371335e-07
  < [5,] -3.197442e-07 -3.197442e-07 0.000000e+00 2.003422e-07 -2.633110e-07
  < [6,] -6.454559e-08 -6.454559e-08 -6.454559e-08 1.088465e-07 -4.451183e-08
  ---
  > [4,] -2.122746e-07 -2.122746e-07 -2.122746e-07 1.548738e-07 -1.870166e-07
  > [5,] -3.455014e-07 -3.455014e-07 0.000000e+00 2.160269e-07 -2.840792e-07
  > [6,] -6.454559e-08 -6.454559e-08 -6.454559e-08 1.089714e-07 -4.451183e-08
  575,577c575,577
  < [8,] -2.724487e-07 0.000000e+00 0.000000e+00 -4.165556e-08 1.644442e-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,] -2.946532e-07 0.000000e+00 -2.946532e-07 6.441205e-08 8.729153e-08
  < [3,] -1.949552e-07 -1.949552e-07 -1.949552e-07 1.997351e-07 -1.744923e-07
  < [4,] -2.335909e-07 -2.335909e-07 -2.335909e-07 1.703098e-07 -2.052592e-07
  < [5,] -3.890221e-07 -3.890221e-07 0.000000e+00 2.422625e-07 -3.199364e-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,] -4.272138e-07 0.000000e+00 0.000000e+00 -6.562756e-08 2.632840e-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
  590,594c590,594
  < [1,] 1.387779e-08 1.099121e-08 3.030909e-08
  < [2,] -1.312284e-07 -1.618705e-07 2.486900e-08
  < [3,] 4.285461e-08 5.018208e-08 3.863576e-08
  < [4,] 3.785861e-08 5.462297e-08 1.620926e-08
  < [5,] -9.814372e-08 -2.162714e-07 -2.948752e-07
  ---
  > [1,] 1.387779e-08 1.121325e-08 3.030909e-08
  > [2,] 1.332268e-08 1.143530e-08 3.552714e-08
  > [3,] 4.229950e-08 5.040413e-08 3.863576e-08
  > [4,] -3.739231e-07 -7.802647e-07 -3.375078e-08
  > [5,] -3.281819e-07 -6.576961e-07 -6.030731e-07
  596,599c596,599
  < [7,] 1.726397e-08 1.937339e-08 3.752554e-08
  < [8,] 1.998401e-08 -3.805845e-07 -4.189982e-07
  < [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
  601c601
  < [1] -4.272138e-07 2.575105e-07
  ---
  > [1] -7.802647e-07 3.247817e-07
  605,612c605,612
  < [2,] -3.624019e-07 NaN -3.626070e-07 -3.641876e-07 -3.629021e-07
  < [3,] 7.719152e-07 7.719152e-07 7.719152e-07 7.719682e-07 7.722624e-07
  < [4,] 6.318679e-07 6.318679e-07 6.318679e-07 6.326351e-07 6.322244e-07
  < [5,] -4.994474e-07 -4.994474e-07 NaN -4.992015e-07 -4.995042e-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,] -5.514787e-07 NaN NaN -5.549898e-07 -5.502885e-07
  < [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.726348e-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
  > [4,] -2.984521e-07 -2.984521e-07 -2.984521e-07 -2.982630e-07 -2.983360e-07
  > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
  > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
  > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
  > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
  > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
  616c616
  < [2,] -6.716726e-07 NaN -6.716726e-07 -6.687748e-07 -6.740666e-07
  ---
  > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
  618,620c618,620
  < [4,] -4.997633e-07 -4.997633e-07 -4.997633e-07 -4.993616e-07 -5.000363e-07
  < [5,] -4.273186e-07 -4.273186e-07 NaN -4.283653e-07 -4.283193e-07
  < [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.977849e-07 -9.994048e-07
  ---
  > [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.269256e-07
  > [5,] 3.897700e-07 3.897700e-07 NaN 3.899053e-07 3.900746e-07
  > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
  622,624c622,624
  < [8,] 5.067544e-07 NaN NaN 5.051686e-07 4.940358e-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,] 5.357337e-07 NaN 5.357337e-07 5.372772e-07 5.378767e-07
  < [3,] 6.762410e-07 6.762410e-07 6.762410e-07 6.752614e-07 6.761747e-07
  < [4,] 6.183044e-07 6.183044e-07 6.183044e-07 6.184765e-07 6.187119e-07
  < [5,] 3.711970e-07 3.711970e-07 NaN 3.698358e-07 3.715723e-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,] 3.026770e-07 NaN NaN 3.031594e-07 3.012907e-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
  637,641c637,641
  < [1,] -1.550204e-06 3.472920e-07 -1.876259e-07
  < [2,] -3.562229e-07 3.822690e-07 -1.311837e-07
  < [3,] -8.752904e-07 4.235339e-07 -2.990464e-07
  < [4,] -2.598072e-07 2.344943e-07 -6.770797e-08
  < [5,] -1.672141e-07 4.352419e-07 3.437766e-07
  ---
  > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
  > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
  > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
  > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
  > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
  643,646c643,646
  < [7,] -1.418697e-06 3.508699e-07 -2.906671e-07
  < [8,] -9.024696e-08 6.607308e-07 -6.032496e-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
  651,660c651,660
  < [1,] 0 0 0.000000e+00 4.976800e-10 3.745312e-11 0 0 0
  < [2,] 0 0 -2.220446e-10 4.213974e-10 1.597719e-10 0 0 0
  < [3,] 0 0 0.000000e+00 1.135653e-11 -6.490333e-11 0 0 0
  < [4,] 0 0 0.000000e+00 2.054518e-10 -1.150258e-10 0 0 0
  < [5,] 0 0 0.000000e+00 -1.008295e-10 -3.064127e-11 0 0 0
  < [6,] 0 0 0.000000e+00 -2.260945e-10 4.046687e-11 0 0 0
  < [7,] 0 0 0.000000e+00 -1.038017e-10 -3.936437e-11 0 0 0
  < [8,] 0 0 0.000000e+00 -2.927093e-10 -4.005155e-11 0 0 0
  < [9,] 0 0 0.000000e+00 -4.448322e-11 -2.754534e-11 0 0 0
  < [10,] 0 0 0.000000e+00 1.352138e-10 2.132173e-10 0 0 0
  ---
  > [1,] 0 0 0 4.976800e-10 3.745312e-11 0 0 0
  > [2,] 0 0 0 -3.643294e-10 -1.060298e-10 0 0 0
  > [3,] 0 0 0 1.252659e-10 -1.642822e-10 0 0 0
  > [4,] 0 0 0 -2.058271e-10 1.522227e-10 0 0 0
  > [5,] 0 0 0 6.575140e-11 2.616248e-10 0 0 0
  > [6,] 0 0 0 -1.869624e-10 1.264781e-10 0 0 0
  > [7,] 0 0 0 -2.898278e-10 -1.623588e-10 0 0 0
  > [8,] 0 0 0 -4.173131e-11 -1.588380e-10 0 0 0
  > [9,] 0 0 0 -4.448322e-11 -1.663232e-10 0 0 0
  > [10,] 0 0 0 1.352138e-10 2.132173e-10 0 0 0
  662,671c662,671
  < [1,] -1.034852e-10 4.275993e-11 0 0 0 -1.363026e-11 7.442630e-11
  < [2,] -1.762390e-10 1.970922e-10 0 0 0 1.850419e-10 3.477739e-10
  < [3,] -1.606591e-10 -8.818213e-11 0 0 0 -2.897503e-10 1.711387e-11
  < [4,] -1.581408e-10 -1.294496e-10 0 0 0 4.739614e-11 -1.352132e-10
  < [5,] 4.895125e-10 -6.151764e-10 0 0 0 -8.916419e-10 -3.231769e-10
  < [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,] 1.307559e-10 -4.233485e-10 0 0 0 -1.044453e-10 -1.211414e-10
  < [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
  ---
  > [1,] -1.034852e-10 4.275993e-11 0 0 0 2.084143e-10 7.442630e-11
  > [2,] -1.490270e-10 -5.118989e-12 0 0 0 -2.997732e-10 -2.135072e-10
  > [3,] -1.606591e-10 -8.818213e-11 0 0 0 -1.729538e-10 -4.036885e-10
  > [4,] 1.486723e-10 -6.110910e-10 0 0 0 -6.688090e-10 6.817048e-10
  > [5,] 7.493617e-11 -2.217951e-10 0 0 0 -7.232756e-10 2.640244e-11
  > [6,] 1.028245e-10 -6.313480e-11 0 0 0 -4.762960e-10 -3.519740e-12
  > [7,] 3.496612e-10 1.553381e-10 0 0 0 -6.963397e-11 -1.843262e-10
  > [8,] -2.306301e-11 -1.631720e-10 0 0 0 1.032831e-10 8.976823e-11
  > [9,] -6.646317e-11 -6.097595e-11 0 0 0 -6.806601e-11 6.274188e-11
  > [10,] 2.065775e-11 -1.817360e-10 0 0 0 -1.981207e-11 -7.069692e-11
  684c684
  < [1] -8.916419e-10 4.976800e-10
  ---
  > [1] -7.232756e-10 6.817048e-10
  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
  2907c2902
  < 2 0.453396093 0.11602477 -0.22079623 -0.37122660 0.21900422 -0.17322650
  ---
  > 2 0.453396093 0.18518138 -0.10369269 -0.37122660 0.26642211 -0.08533400
  2909,2910c2904,2905
  < 4 0.182385396 0.35026405 -0.25311884 -0.34901909 0.26348621 -0.12774959
  < 5 0.466050468 0.26512294 -0.26157518 -0.36709336 0.25167248 -0.16300631
  ---
  > 4 0.182385396 0.22260219 -0.35557783 -0.34901909 0.24641930 -0.15625477
  > 5 0.395976600 0.26512294 -0.22405904 -0.32295096 0.25167248 -0.13425075
  2913c2908
  < 8 0.271010145 0.33705003 -0.23759517 -0.36324099 0.26539355 -0.14829929
  ---
  > 8 0.105211089 0.35027624 -0.23759517 -0.28310921 0.23964177 -0.14829929
  2918c2913
  < 2 0.517589266 -0.31905294 0.24175273 -0.342320508 -0.31702652 0.49690122
  ---
  > 2 0.517589266 -0.42553291 0.13198369 -0.342320508 -0.46820299 0.27400615
  2920,2921c2915,2916
  < 4 0.379022298 -0.45614740 0.20731876 -0.263740488 -0.52804104 0.37484889
  < 5 0.525069455 -0.52391216 0.27912356 -0.361027914 -0.53871278 0.48832683
  ---
  > 4 0.379022298 -0.37335148 0.24368295 -0.263740488 -0.35581139 0.56738648
  > 5 0.538960957 -0.52391216 0.23199224 -0.395069134 -0.53871278 0.45553038
  2924,2925c2919,2920
  < 8 0.452950419 -0.45385952 0.23690022 -0.373397955 -0.49823985 0.37848422
  < 9 0.152442974 -0.08913371 0.05744710 -0.100419550 -0.11271553 0.08247915
  ---
  > 8 0.252190242 -0.38617280 0.23690022 -0.184985860 -0.46686982 0.37848422
  > 9 0.152442974 -0.08913371 0.05744710 -0.100419550 -0.11271554 0.08247915
  2939c2934
  < 2 0.453396083 0.11605515 -0.22077984 -0.37117815 0.21900707 -0.17323066
  ---
  > 2 0.453396083 0.18521403 -0.10371605 -0.37117815 0.26642177 -0.08535933
  2941,2942c2936,2937
  < 4 0.182370489 0.35022930 -0.25319728 -0.34891097 0.26350424 -0.12778669
  < 5 0.465884947 0.26491181 -0.26155692 -0.36702728 0.25167518 -0.16290569
  ---
  > 4 0.182370489 0.22262642 -0.35559976 -0.34891097 0.24647789 -0.15614626
  > 5 0.396062172 0.26491181 -0.22410218 -0.32301776 0.25167518 -0.13429372
  2945c2940
  < 8 0.271092831 0.33694192 -0.23771705 -0.36327416 0.26545124 -0.14830372
  ---
  > 8 0.105068348 0.35027704 -0.23771705 -0.28313433 0.23960011 -0.14830372
  2950c2945
  < 2 0.517509460 -0.31912927 0.24169591 -0.342337487 -0.3171014 0.49680849
  ---
  > 2 0.517509460 -0.42554739 0.13203173 -0.342337487 -0.4682704 0.27407828
  2952,2956c2947,2951
  < 4 0.378960324 -0.45621733 0.20738595 -0.263744039 -0.5279864 0.37493772
  < 5 0.525075164 -0.52376449 0.27917933 -0.361093671 -0.5387374 0.48829921
  < 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
  < 8 0.452971431 -0.45400374 0.23688608 -0.373425414 -0.4983585 0.37861102
  ---
  > 4 0.378960324 -0.37343664 0.24376737 -0.263744039 -0.3558907 0.56751561
  > 5 0.538996584 -0.52376449 0.23212450 -0.395145034 -0.5387374 0.45544566
  > 6 0.077898816 -0.07584485 0.06505061 -0.052733734 -0.0983536 0.08502351
  > 7 0.086045011 -0.30982678 0.25307025 -0.065460223 -0.3993349 0.33273176
  > 8 0.252171647 -0.38616972 0.23688608 -0.184932693 -0.4668721 0.37861102
  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
  2960,2971c2955,2966
  < [1] "Component 1: Mean relative difference: 0.0001711166"
  < [2] "Component 2: Mean relative difference: 0.0002370522"
  < [3] "Component 3: Mean relative difference: 0.0002068132"
  < [4] "Component 4: Mean relative difference: 0.0002060243"
  < [5] "Component 5: Mean relative difference: 0.0001658149"
  < [6] "Component 6: Mean relative difference: 0.0002697027"
  < [7] "Component 7: Mean relative difference: 0.0001401285"
  < [8] "Component 8: Mean relative difference: 0.0002238018"
  < [9] "Component 9: Mean relative difference: 0.0002102512"
  < [10] "Component 10: Mean relative difference: 0.0001516188"
  < [11] "Component 11: Mean relative difference: 0.0001235969"
  < [12] "Component 12: Mean relative difference: 0.0002030517"
  ---
  > [1] "Component 1: Mean relative difference: 0.0001814309"
  > [2] "Component 2: Mean relative difference: 0.0001877033"
  > [3] "Component 3: Mean relative difference: 0.0001982085"
  > [4] "Component 4: Mean relative difference: 0.0002147753"
  > [5] "Component 5: Mean relative difference: 0.0001774133"
  > [6] "Component 6: Mean relative difference: 0.0003184793"
  > [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"
  2979c2974
  < 2 0.453157362 0.11646576 -0.22073531 -0.37163716 0.21926311 -0.17456096
  ---
  > 2 0.453157362 0.18439423 -0.10283446 -0.37163716 0.26656087 -0.08523642
  2981,2982c2976,2977
  < 4 0.182458672 0.34917322 -0.24726563 -0.34922234 0.26391358 -0.12774153
  < 5 0.466155939 0.26378595 -0.26247003 -0.36734337 0.25177381 -0.16461253
  ---
  > 4 0.182458672 0.22196631 -0.35611755 -0.34922234 0.24661637 -0.15765146
  > 5 0.393051825 0.26378595 -0.22398993 -0.32020864 0.25177381 -0.13460512
  2985c2980
  < 8 0.263679020 0.33560743 -0.23693885 -0.35748779 0.26509430 -0.14898713
  ---
  > 8 0.108800624 0.35482588 -0.23693885 -0.28378378 0.24033985 -0.14898713
  2990c2985
  < 2 0.518101830 -0.31947549 0.24245684 -0.342035095 -0.31744895 0.49722065
  ---
  > 2 0.518101830 -0.42562594 0.13175546 -0.342035095 -0.46653180 0.27157938
  2992,2993c2987,2988
  < 4 0.379363636 -0.45669306 0.20706470 -0.263632733 -0.52574490 0.37073650
  < 5 0.525443302 -0.52280316 0.28357964 -0.361142376 -0.53736075 0.49107940
  ---
  > 4 0.379363636 -0.37358331 0.24488856 -0.263632733 -0.35576345 0.56822990
  > 5 0.531838528 -0.52280316 0.23325028 -0.392204561 -0.53736075 0.45497010
  2996c2991
  < 8 0.439314522 -0.45257718 0.23844919 -0.369902900 -0.49653017 0.37789393
  ---
  > 8 0.252832312 -0.38761701 0.23844919 -0.188497672 -0.47013102 0.37789393
  3000,3011c2995,3006
  < [1] "Component 1: Mean relative difference: 0.005369977"
  < [2] "Component 2: Mean relative difference: 0.006132044"
  < [3] "Component 3: Mean relative difference: 0.01189084"
  < [4] "Component 4: Mean relative difference: 0.00404854"
  < [5] "Component 5: Mean relative difference: 0.001823183"
  < [6] "Component 6: Mean relative difference: 0.003226717"
  < [7] "Component 7: Mean relative difference: 0.007250644"
  < [8] "Component 8: Mean relative difference: 0.002461311"
  < [9] "Component 9: Mean relative difference: 0.006604925"
  < [10] "Component 10: Mean relative difference: 0.006647741"
  < [11] "Component 11: Mean relative difference: 0.005618321"
  < [12] "Component 12: Mean relative difference: 0.008122439"
  ---
  > [1] "Component 1: Mean relative difference: 0.005543512"
  > [2] "Component 2: Mean relative difference: 0.007674393"
  > [3] "Component 3: Mean relative difference: 0.008961165"
  > [4] "Component 4: Mean relative difference: 0.003050649"
  > [5] "Component 5: Mean relative difference: 0.00184501"
  > [6] "Component 6: Mean relative difference: 0.002549041"
  > [7] "Component 7: Mean relative difference: 0.005124569"
  > [8] "Component 8: Mean relative difference: 0.002339985"
  > [9] "Component 9: Mean relative difference: 0.005537836"
  > [10] "Component 10: Mean relative difference: 0.008996781"
  > [11] "Component 11: Mean relative difference: 0.005854874"
  > [12] "Component 12: Mean relative difference: 0.007158029"
  3013,3024c3008,3019
  < [1] "Component 1: Mean relative difference: 0.005454364"
  < [2] "Component 2: Mean relative difference: 0.005977849"
  < [3] "Component 3: Mean relative difference: 0.01196682"
  < [4] "Component 4: Mean relative difference: 0.00413811"
  < [5] "Component 5: Mean relative difference: 0.001884289"
  < [6] "Component 6: Mean relative difference: 0.003337213"
  < [7] "Component 7: Mean relative difference: 0.007262667"
  < [8] "Component 8: Mean relative difference: 0.002357"
  < [9] "Component 9: Mean relative difference: 0.006716894"
  < [10] "Component 10: Mean relative difference: 0.006720665"
  < [11] "Component 11: Mean relative difference: 0.00565651"
  < [12] "Component 12: Mean relative difference: 0.008324466"
  ---
  > [1] "Component 1: Mean relative difference: 0.005627834"
  > [2] "Component 2: Mean relative difference: 0.007624478"
  > [3] "Component 3: Mean relative difference: 0.009017387"
  > [4] "Component 4: Mean relative difference: 0.003117591"
  > [5] "Component 5: Mean relative difference: 0.001876911"
  > [6] "Component 6: Mean relative difference: 0.002632088"
  > [7] "Component 7: Mean relative difference: 0.00515424"
  > [8] "Component 8: Mean relative difference: 0.002203597"
  > [9] "Component 9: Mean relative difference: 0.005525479"
  > [10] "Component 10: Mean relative difference: 0.009180788"
  > [11] "Component 11: Mean relative difference: 0.005936969"
  > [12] "Component 12: Mean relative difference: 0.007245039"
  3035,3045c3030,3040
  < 1 2.671114e-01 -0.0018976593 0.0012381527 -0.0898724971 0.0111026042
  < 5 2.408126e-01 -0.0722735670 -0.1081276333 -0.0454836923 0.0196948220
  < 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 -0.0070121003 -0.157029426 0.0099066345 0.0596145508 0.1146558599
  < 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 -0.034706477 0.0141576023
  < 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 -0.0722735670 0.3353120 0.064671824 0.074321413 -0.06623061 -0.077840346
  < 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 -0.0873689770 0.08285216 0.097594314 -1.218412e-01 -0.1481450 0.038790682
  < 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 -0.1081276333 0.064671824 0.2587506 0.021843965 -0.008040396 -0.01687398
  ---
  > 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 -0.21016110
  < 5 0.044884832 -0.012178660 -0.08378468 -0.0400683834 0.002967763 -0.06074796
  < 10 0.001175123 0.002303145 -0.06426598 -0.0005889933 -0.001453441 -0.10529779
  ---
  > 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 -0.0454836923 0.074321413 0.021843965 0.20173900 -0.06971806 -0.05297516
  ---
  > 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 0.002231332 0.05624526 -0.058317957 -0.225949907 -0.03022230 0.045852234
  < 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
  3083,3085c3078,3080
  < 1 0.0111026042 -0.01922027 -0.014252445 -0.02228280 0.1473312 -0.008096171
  < 5 0.0196948220 -0.06623061 -0.008040396 -0.06971806 0.1886225 0.007834977
  < 10 0.0001431043 0.08898879 -0.003951327 -0.00361963 0.1238768 0.008232387
  ---
  > 1 0.0111026042 -0.01922027 -0.014252445 -0.02228280 0.1473312 -0.0080961714
  > 5 0.0134390757 -0.06623061 -0.060415748 -0.05216925 0.1886225 -0.0004257871
  > 10 0.0001431043 0.08898879 -0.003951327 -0.00361963 0.1238768 0.0082323867
  3087,3093c3082,3088
  < 1 0.0058106979 0.02945307 0.0422204318 -0.0033230251 0.0009525859
  < 5 0.0150688801 -0.08513252 0.0579613967 0.0867051796 -0.1134768699
  < 10 0.0005576397 -0.06785855 -0.0001269728 -0.0001592843 -0.1243617927
  < d_y3_d_x4
  < 1 0.044056783
  < 5 0.028687263
  < 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
  3098,3104c3093,3099
  < 1 0.0232684661 -0.015126608 0.02281127 -0.02627183 -0.008096171 0.1706051
  < 5 -0.0070121003 -0.077840346 -0.01687398 -0.05297516 0.007834977 0.2915086
  < 10 0.0005193529 0.002116951 0.06569682 -0.01075533 0.008232387 0.1622181
  < 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 0.001139074 0.043320376 -0.04575197 -0.004963450 0.040291752 -0.08976140
  < 5 0.059376219 0.007075121 -0.14267669 -0.137884928 0.129208534 0.01117122
  < 10 0.001905316 -0.001625921 -0.07123554 -0.001349787 -0.006213746 -0.11703934
  ---
  > 1 0.0232684661 -0.015126608 0.02281127 -0.02627183 -0.0080961714 0.1706051
  > 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
  > 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 0.001140717 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 -0.157029426 -0.0873689770 0.044884832 0.002231332 0.0150688801 0.059376219
  < 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 0.428166772 -0.1568595328 -0.202980048 -0.0619119724 0.1473131981
  < 10 0.001017447 -0.0004448312 -0.001707917 -0.0007112627 -0.0006702468
  < d_y3_d_x4
  < 1 -0.033763361
  < 5 -0.013813708
  < 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 0.0099066345 0.08285216 -0.012178660 0.05624526 -0.08513252 0.007075121
  < 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 -0.1568595328 0.33785819 0.014605963 -1.077313e-01 0.008457871 -0.034682779
  < 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 0.0596145508 0.097594314 -0.08378468 -0.058317957 0.0579613967
  < 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 -0.14267669 -0.202980048 0.014605963 0.4427864 0.2532608350 -0.218707891
  < 10 -0.07123554 -0.001707917 0.001466965 0.0775082 0.0009231966 0.005146721
  < d_y3_d_x4
  < 1 0.27239129
  < 5 0.03873331
  < 10 0.11819223
  ---
  > 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 0.1146558599 -1.218412e-01 -0.0400683834 -0.225949907 0.0867051796
  < 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 -0.137884928 -0.0619119724 -1.077313e-01 0.2532608350 0.8759307993
  < 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 -0.0495778633 -0.224777674
  < 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 -0.034706477 -0.1481450 0.002967763 -0.03022230 -0.1134768699 0.129208534
  < 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 0.1473131981 0.008457871 -0.218707891 -0.0495778633 0.5650991 -0.05325190
  < 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 -0.21016110 0.044876415 0.044056783 -0.08976140
  < 5 0.0141576023 0.038790682 -0.06074796 0.045852234 0.028687263 0.01117122
  < 10 -0.0005943693 -0.004995112 -0.10529779 0.008014755 -0.002565605 -0.11703934
  < 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 0.27239129 0.009062048 -0.02023155 0.5217897
  < 5 -0.013813708 -0.034682779 0.03873331 -0.224777674 -0.05325190 0.2298604
  < 10 -0.002515218 0.003864697 0.11819223 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 0.144928910 0.0130994341 -0.012655498 -0.06714164 0.006690779 -0.04385058
  ---
  > 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 0.1154450 -0.016808777 -0.049299453 -0.08098591 4.529710e-03 0.003796963
  < 5 -0.1687983 0.021016522 0.088007379 0.13766766 -4.027889e-02 -0.015321078
  < 10 -0.0193956 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
  3239,3245c3238,3244
  < 1 2.760459e-01 -9.172312e-03 -2.164891e-02 0.00000000 0.000000000 0.00000000
  < 5 4.089560e-01 -6.483072e-02 -8.364006e-02 -0.06714164 0.006690779 -0.04385058
  < 10 3.416534e-05 -6.254719e-06 -8.454526e-05 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 0.00000000 0.0000000 0.00000000 0.0000000
  < 5 -0.1689537 0.02086109 0.08816281 0.1377565 -0.04019007 -0.0154099
  < 10 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
  ---
  > 1 2.760459e-01 -9.172312e-03 -2.164891e-02 0.0000000 0.000000000 0.00000000
  > 5 4.300837e-01 -6.483072e-02 -9.133239e-02 -0.1834725 0.006690779 -0.05041527
  > 10 3.416556e-05 -6.254719e-06 -8.454504e-05 0.0000000 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 0.00000000 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 0.34181432 -0.058139940 -0.12749064
  < 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
  3261,3267c3260,3266
  < 1 -0.253201499 0.0045815731 0.004845272 0.17472547 -0.022687772 -0.05669121
  < 5 -0.090586260 -0.0081876607 0.007910183 0.04196616 -0.004182000 0.02740834
  < 10 -0.005951165 0.0002923537 0.002529713 0.05823090 -0.005853647 -0.02597354
  < 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 -0.08438163 0.013903232 0.035626979 0.08649192 -3.730349e-03 -0.003985701
  < 5 0.51416070 -0.078264418 -0.138862552 -0.08615331 2.549072e-02 0.008970602
  < 10 -0.01912249 0.001535543 0.008955663 0.01736389 -5.551115e-06 -0.001598721
  ---
  > 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
  > 10 -0.005951165 0.0002923537 0.002529713 0.0582309 -0.005853647 -0.02597354
  > 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 -0.08437642 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 0.119070851 1.076225e-02 -0.0103975173 -0.05516230 0.005497018 -0.03602681
  ---
  > 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 -0.13874457 0.0179078974 0.072242212 0.5222431239 -0.0980041830
  < 10 0.00667244 -0.0005467848 -0.003885781 -0.0008593215 -0.0002061194
  < d_y3_d_x4
  < 1 -0.01536834
  < 5 -0.09558606
  < 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 -0.011106030 0.02359868 -0.07427991 -0.019690253
  < 5 -0.012903555 0.0601708 0.009013214 0.02362359 -0.11310591 -0.004653031
  < 10 0.000149237 0.2197046 0.010775848 -0.00348749 0.13273560 0.010499709
  < 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 0.026509350 0.0034514058 0.31770142 0.02619016
  < 5 -0.0012878587 0.05356826 -0.002431388 -0.0506261699 0.06363798 0.00945910
  < 10 0.0009214851 -0.22632729 -0.010325074 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
  3298,3304c3297,3303
  < 1 -1.019913e-02 0.1193442 0.003567316 0.00000000 0.0000000 0.000000000
  < 5 -6.160382e-02 0.4058003 0.037210326 0.02362359 -0.1131059 -0.004653031
  < 10 -2.589928e-06 0.3469243 0.014366786 0.00000000 0.0000000 0.000000000
  < 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 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  < 5 -0.001010303 0.05384582 -0.002553513 -0.05058176 0.06368239 0.009325873
  < 10 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  ---
  > 1 -1.019913e-02 0.1193442 0.003567316 0.0000000 0.0000000 0.0000000
  > 5 -6.151580e-02 0.4058003 0.034744322 0.0198257 -0.1131059 0.0195173
  > 10 -2.590150e-06 0.3469243 0.014366785 0.0000000 0.0000000 0.0000000
  > 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 0.00000000 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
  3310c3309
  < 5 0.000000000 0.0000000 0.00000000 -0.037980236 0.2926944 0.03255729
  ---
  > 5 0.000000000 0.0000000 0.00000000 -0.041690108 0.2926944 0.05426163
  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
  3320,3326c3319,3325
  < 1 0.0071596671 0.22350287 0.011859282 -0.025199228 0.07931785 0.021025719
  < 5 0.0080652285 -0.03760911 -0.005633613 -0.014765668 0.07069564 0.002908327
  < 10 0.0001871153 0.27546887 0.013510919 -0.004372667 0.16642588 0.013164692
  < 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 -0.00368594 -0.3398171 -0.027788882
  < 5 -0.0609043801 0.37226051 0.03864251 0.03193001 -0.0393019 -0.006705747
  < 10 0.0007363513 -0.15661433 -0.00928765 0.00000000 -0.3787415 -0.014921397
  ---
  > 1 0.0071596671 0.22350287 0.01185928 -0.025199228 0.07931785 0.02102572
  > 5 0.0292628426 -0.03760911 -0.01507576 -0.012391838 0.07069564 -0.01219908
  > 10 0.0001871152 0.27546887 0.01351092 -0.004372667 0.16642588 0.01316469
  > 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 0.0112602974 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
  3331,3337c3330,3336
  < 1 -2.859406e-03 -0.08926191 -0.004736324 0.010063992 -0.03167772 -0.008397189
  < 5 -1.060132e-02 0.04943519 0.007405086 0.019408690 -0.09292568 -0.003822843
  < 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326888 -0.05050205 -0.003994835
  < 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 -0.0058904270 0.10428325 0.011438073 -0.0020370519 0.4647645 0.025786678
  < 5 -0.0007216450 0.04414247 -0.001976197 -0.1032149793 0.4576700 0.044937478
  < 10 -0.0002331468 0.08609502 0.004019007 -0.0003738717 0.2420501 0.007943012
  ---
  > 1 -2.859406e-03 -0.08926191 -0.004736324 0.010063992 -0.03167772 -0.008397188
  > 5 -3.846446e-02 0.04943519 0.019816285 0.016288417 -0.09292568 0.016035047
  > 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326889 -0.05050205 -0.003994835
  > 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 -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 -0.0232916710 -0.007314459 0.1833577 0.03430460 -0.013690362 0.02361125
  < 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 0.017486013 0.003708145 -0.1012745 -0.086730623 0.03153033 -0.1411316
  < 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
  3353,3359c3352,3358
  < 1 -3.172708e-02 0.003760221 0.1006422 0.0000000 0.00000000 0.00000000
  < 5 -1.103577e-01 0.048919331 0.4007928 0.0343046 -0.01369036 0.02361125
  < 10 -4.433343e-06 0.014931963 0.2725413 0.0000000 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 0.00000000 0.000000000 0.0000000 0.00000000 0.00000000 0.0000000
  < 5 0.01748601 0.003708145 -0.1012745 -0.08673062 0.03153033 -0.1411316
  < 10 0.00000000 0.000000000 0.0000000 0.00000000 0.00000000 0.0000000
  ---
  > 1 -3.172708e-02 0.003760221 0.1006422 0.00000000 0.00000000 0.00000000
  > 5 -1.245229e-01 0.048919331 0.3650462 0.06229383 -0.01369036 0.05968877
  > 10 -4.433343e-06 0.014931963 0.2725413 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 0.00000000 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
  3365,3366c3364,3365
  < 5 0.00000000 0.00000000 0.0000000 -0.076053111 0.03522897 0.4244040
  < 10 0.00000000 0.00000000 0.0000000 -0.011769192 0.01311946 0.2955153
  ---
  > 5 0.00000000 0.00000000 0.0000000 -0.062229064 0.03522897 0.4247349
  > 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
  3375,3376c3374,3375
  < 1 0.024834133 0.011762688 0.1699469 -0.04878715 0.016637610 0.13442051
  < 5 0.014558209 0.004571824 -0.1146057 -0.02144172 0.008557013 -0.01475796
  ---
  > 1 0.024834133 0.011762689 0.1699469 -0.04878715 0.016637610 0.13442051
  > 5 0.046219800 0.004571824 -0.1383216 -0.03893609 0.008557013 -0.03730783
  3379,3381c3378,3380
  < 1 0.022109401 -0.011125710 0.0008492073 -0.012528867 -0.02509104 -0.30481173
  < 5 -0.122192689 0.045821809 0.4643419200 0.053557159 -0.02056133 0.08828493
  < 10 0.002940371 -0.009201082 -0.1310826416 -0.002353673 -0.01531553 -0.30064840
  ---
  > 1 0.022109401 -0.011103506 0.0008464317 -0.012528867 -0.02535749 -0.3048228
  > 5 -0.102906847 0.045699685 0.4576054475 0.020916602 -0.02069456 0.1606271
  > 10 0.003317847 -0.009184429 -0.1307384724 -0.001909584 -0.01529332 -0.2999823
  3386,3392c3385,3391
  < 1 -0.0099181813 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
  < 5 -0.0191359963 -0.006009421 0.15064319 0.02818401 -0.011247742 0.01939856
  < 10 -0.0003115492 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.012216790 0.010702550 0.10342560 -0.0034860966 0.025611570 0.3815530
  < 5 0.014688251 0.003474998 -0.08366641 -0.1816340297 0.074898550 0.2839085
  < 10 -0.002309264 0.003856637 0.08156809 -0.0008232847 0.008144765 0.2320713
  ---
  > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
  > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
  > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
  > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
  > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
  3396,3407c3395,3406
  < 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 0.0119593147 -0.0174661633 2.470719e-03 -0.107503637 0.060236172 0.057426766
  < 5 0.0094047273 -0.3102622052 6.126323e-03 -0.217573304 0.141162941 0.038057502
  < 10 0.0002986816 -0.0001412115 5.869416e-06 -0.007937815 0.006272141 0.005869358
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 0.044658027 -0.029221070 -0.0314914761 -0.0024508173 7.460699e-03
  < 5 0.254851695 -0.353428398 -0.0331734640 0.4804601161 2.866152e-01
  < 10 0.001887379 -0.001067202 -0.0004107825 0.0004440892 -5.551115e-06
  < d_y3_d_x4
  < 1 -0.0081934459
  < 5 -0.0701660952
  < 10 -0.0002220446
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 1 0.0119593147 -0.0174661633 2.470719e-03 -0.1075036372 0.060236172
  > 5 -0.2627469940 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
  > 10 0.0002986817 -0.0001412116 5.869527e-06 -0.0079378150 0.006272141
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  > 1 0.057426766 0.044659935 -0.029354297 -0.031555314 -0.0024487357 7.283063e-03
  > 5 0.165725303 0.360245167 -0.353705953 -0.202970973 0.3657518732 2.865708e-01
  > 10 0.005869358 0.001720846 -0.001033895 -0.000577316 0.0004884981 3.885781e-05
  > d_y3_d_x4
  > 1 -0.0082711615
  > 5 -0.1066702282
  > 10 -0.0001776357
  3412,3418c3411,3417
  < 1 -0.03036766 -0.0028628583 -0.046038902 0.16796613 -0.014779641 0.11986384
  < 5 0.11202697 -0.1522331796 -0.134166079 0.10109648 -0.004554075 0.25411486
  < 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 0.02271516 -0.0339395179 -0.31202818 -0.502087261 0.1729727472 0.175814918
  < 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 -0.11475185 0.013416950 0.14424394 -0.20173175
  < 5 1.012813e-02 0.1914696 0.04184322 0.031275380 0.19609338 -0.14276885
  < 10 -5.019241e-05 0.1066395 -0.12691634 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 -0.0508038056 -0.23672175 0.24427127 -0.0849098569 -0.46087578 0.2320810
  < 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
  3496,3498c3495,3497
  < 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
  < 2: d_y1_d_x1 0.466050 0.490727 0.950 0.342
  ---
  > 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
  > 2: d_y1_d_x1 0.395977 0.693167 0.571 0.568
  3500,3501c3499,3500
  < 2: d_y3_d_x1 -0.261575 0.508675 -0.514 0.607
  < 2: d_y1_d_x2 -0.367093 0.449154 -0.817 0.414
  ---
  > 2: d_y3_d_x1 -0.224059 0.554291 -0.404 0.686
  > 2: d_y1_d_x2 -0.322951 0.482364 -0.670 0.503
  3503,3509c3502,3508
  < 2: d_y3_d_x2 -0.163006 0.539915 -0.302 0.763
  < 2: d_y1_d_x3 0.525069 0.654345 0.802 0.422
  < 2: d_y2_d_x3 -0.523912 0.581256 -0.901 0.367
  < 2: d_y3_d_x3 0.279124 0.665422 0.419 0.675
  < 2: d_y1_d_x4 -0.361028 0.935912 -0.386 0.700
  < 2: d_y2_d_x4 -0.538713 0.751731 -0.717 0.474
  < 2: d_y3_d_x4 0.488327 0.479438 1.019 0.308
  ---
  > 2: d_y3_d_x2 -0.134251 0.656026 -0.205 0.838
  > 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
  3547c3546
  < 2 0.466050468 0.2651229 -0.2615752 -0.36709336 0.2516725 -0.1630063
  ---
  > 2 0.395976600 0.2651229 -0.2240590 -0.32295096 0.2516725 -0.1342508
  3549c3548
  < mean 0.213146161 0.2341692 -0.1681691 -0.16043953 0.1953264 -0.1585286
  ---
  > mean 0.189788204 0.2341692 -0.1556637 -0.14572540 0.1953264 -0.1489434
  3552c3551
  < 2 0.525069455 -0.5239122 0.2791236 -0.361027914 -0.5387128 0.4883268
  ---
  > 2 0.538960957 -0.5239122 0.2319922 -0.395069134 -0.5387128 0.4555304
  3554c3553
  < mean 0.193470657 -0.3526873 0.2238534 -0.133770793 -0.4140400 0.3186138
  ---
  > mean 0.198101158 -0.3526873 0.2081429 -0.145117866 -0.4140400 0.3076816
  3562,3575c3561,3574
  < 1 2.671114e-01 -0.0018976593 0.0012381527 -0.0898724971 0.0111026042
  < 5 2.408126e-01 -0.0722735670 -0.1081276333 -0.0454836923 0.0196948220
  < 10 7.279534e-05 0.0001048122 0.0002842754 -0.0007541722 0.0001431043
  < mean 9.750102e-02 -0.0135301686 -0.0236175627 -0.0152662194 0.0036925441
  < 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 -0.0070121003 -0.157029426 0.0099066345 0.0596145508 0.1146558599
  < 10 0.0005193529 0.000269181 -0.0001023794 -0.0004080545 -0.0001953799
  < mean -0.0042360605 -0.031675942 0.0015618769 0.0116707155 0.0237914712
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.007218395 -0.0251532372
  < 5 -0.034706477 0.0141576023
  < 10 -0.000153797 -0.0005943693
  < mean -0.011818677 -0.0057461759
  ---
  > 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
  3580,3583c3579,3582
  < 1 -0.0018976593 0.1706676 0.003222529 -0.007611475 -0.019220268 -0.015126608
  < 5 -0.0722735670 0.3353120 0.064671824 0.074321413 -0.066230609 -0.077840346
  < 10 0.0001048122 0.2634495 0.006039631 -0.002325959 0.088988794 0.002116951
  < mean -0.0135301686 0.1487773 0.008120735 0.009650611 -0.001428115 -0.028898252
  ---
  > 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
  3585,3593c3584,3592
  < 1 0.0073154053 -0.118666127 0.008378752 -1.439950e-03 -0.2780174
  < 5 -0.0873689770 0.082852157 0.097594314 -1.218412e-01 -0.1481450
  < 10 0.0004455381 -0.108926907 -0.001433728 5.975208e-05 -0.2017466
  < mean -0.0132442296 0.001839177 0.035300638 -1.615636e-02 -0.1055978
  < d_y3_d_x4
  < 1 0.003001541
  < 5 0.038790682
  < 10 -0.004995112
  < mean 0.021178693
  ---
  > 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
  3597,3611c3596,3605
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  < 1 0.0012381527 0.003222529 0.11052990 -0.024097591 -0.014252445
  < 5 -0.1081276333 0.064671824 0.25875055 0.021843965 -0.008040396
  < 10 0.0002842754 0.006039631 0.13769158 -0.003939484 -0.003951327
  < mean -0.0236175627 0.008120735 0.08742691 -0.001952959 -0.011942149
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.022811267 0.018160916 0.009281503 -0.11249533 -0.0056718294
  < 5 -0.016873981 0.044884832 -0.012178660 -0.08378468 -0.0400683834
  < 10 0.065696821 0.001175123 0.002303145 -0.06426598 -0.0005889933
  < mean -0.005257584 0.005778140 0.013228514 -0.01225637 0.0005312871
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.002932155 -0.21016110
  < 5 0.002967763 -0.06074796
  < 10 -0.001453441 -0.10529779
  < mean 0.015863266 -0.04716382
  ---
  > 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 0.0012381527 0.003222529 0.1105299 -0.024097591 -0.014252445 0.02281127
  > 5 -0.1865386538 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
  > 10 0.0002842754 0.006039631 0.1376916 -0.003939484 -0.003951327 0.06569682
  > mean -0.0348547378 -0.009259879 0.1005792 0.011532132 -0.025381502 0.02335124
  > 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 0.018159097 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
  3615,3629c3609,3623
  < 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 -0.0898724971 -0.007611475 -0.024097591 0.10986178 -0.02228280 -0.02627183
  < 5 -0.0454836923 0.074321413 0.021843965 0.20173900 -0.06971806 -0.05297516
  < 10 -0.0007541722 -0.002325959 -0.003939484 0.01073828 -0.00361963 -0.01075533
  < mean -0.0152662194 0.009650611 -0.001952959 0.06249500 -0.01983927 -0.01504640
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 -0.058175344 0.013137977 0.019139222 0.030287645 0.017409836
  < 5 0.002231332 0.056245257 -0.058317957 -0.225949907 -0.030222297
  < 10 -0.002821536 0.002001340 0.005125691 0.001974059 0.003362020
  < mean 0.008818305 0.006032805 -0.022389143 -0.051974226 0.002631755
  < d_y3_d_x4
  < 1 0.044876415
  < 5 0.045852234
  < 10 0.008014755
  < mean 0.022193876
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 1 -0.0898724972 -0.007611475 -0.024097591 0.10986178 -0.02228280
  > 5 -0.2400866050 -0.023043764 0.095206563 0.23267476 -0.05216925
  > 10 -0.0007541722 -0.002325959 -0.003939484 0.01073828 -0.00361963
  > mean -0.0573521650 -0.003117154 0.011532132 0.07275856 -0.01923728
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 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
  3634,3637c3628,3631
  < 1 0.0111026042 -0.019220268 -0.014252445 -0.02228280 0.1473312 -0.008096171
  < 5 0.0196948220 -0.066230609 -0.008040396 -0.06971806 0.1886225 0.007834977
  < 10 0.0001431043 0.088988794 -0.003951327 -0.00361963 0.1238768 0.008232387
  < mean 0.0036925441 -0.001428115 -0.011942149 -0.01983927 0.1293292 -0.001703862
  ---
  > 1 0.0111026042 -0.019220268 -0.014252445 -0.02228280 0.1473312 -0.0080961714
  > 5 0.0134390757 -0.066230609 -0.060415748 -0.05216925 0.1886225 -0.0004257871
  > 10 0.0001431043 0.088988794 -0.003951327 -0.00361963 0.1238768 0.0082323867
  > mean 0.0054981909 -0.001428115 -0.025381502 -0.01923728 0.1293292 -0.0040483856
  3639,3647c3633,3641
  < 1 0.0058106979 0.029453066 0.0422204318 -0.0033230251 0.0009525859
  < 5 0.0150688801 -0.085132523 0.0579613967 0.0867051796 -0.1134768699
  < 10 0.0005576397 -0.067858547 -0.0001269728 -0.0001592843 -0.1243617927
  < mean -0.0017772505 -0.005665736 0.0352398761 0.0152752785 -0.0532726679
  < d_y3_d_x4
  < 1 0.044056783
  < 5 0.028687263
  < 10 -0.002565605
  < mean 0.026526436
  ---
  > 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
  3652,3655c3646,3649
  < 1 0.0232684661 -0.015126608 0.022811267 -0.02627183 -0.008096171 0.1706051
  < 5 -0.0070121003 -0.077840346 -0.016873981 -0.05297516 0.007834977 0.2915086
  < 10 0.0005193529 0.002116951 0.065696821 -0.01075533 0.008232387 0.1622181
  < mean -0.0042360605 -0.028898252 -0.005257584 -0.01504640 -0.001703862 0.1630564
  ---
  > 1 0.0232684661 -0.015126608 0.02281127 -0.026271829 -0.0080961714 0.1706051
  > 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
  3657,3665c3651,3659
  < 1 0.001139074 0.043320376 -0.04575197 -0.004963450 0.040291752
  < 5 0.059376219 0.007075121 -0.14267669 -0.137884928 0.129208534
  < 10 0.001905316 -0.001625921 -0.07123554 -0.001349787 -0.006213746
  < mean -0.008743620 0.026733672 -0.01034916 -0.007350900 0.047113343
  < d_y3_d_x4
  < 1 -0.08976140
  < 5 0.01117122
  < 10 -0.11703934
  < mean -0.02052227
  ---
  > 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
  3670,3683c3664,3677
  < 1 0.087126100 0.0073154053 0.018160916 -0.058175344 0.0058106979
  < 5 -0.157029426 -0.0873689770 0.044884832 0.002231332 0.0150688801
  < 10 0.000269181 0.0004455381 0.001175123 -0.002821536 0.0005576397
  < mean -0.031675942 -0.0132442296 0.005778140 0.008818305 -0.0017772505
  < 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 0.059376219 0.428166772 -0.1568595328 -0.202980048 -0.0619119724
  < 10 0.001905316 0.001017447 -0.0004448312 -0.001707917 -0.0007112627
  < mean -0.008743620 0.037723539 -0.0154165148 -0.013665954 0.0128462930
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0150524316 -0.033763361
  < 5 0.1473131981 -0.013813708
  < 10 -0.0006702468 -0.002515218
  < mean 0.0193739353 -0.002864138
  ---
  > 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
  3688,3701c3682,3695
  < 1 -0.0175534083 -0.118666127 0.009281503 0.013137977 0.029453066
  < 5 0.0099066345 0.082852157 -0.012178660 0.056245257 -0.085132523
  < 10 -0.0001023794 -0.108926907 0.002303145 0.002001340 -0.067858547
  < mean 0.0015618769 0.001839177 0.013228514 0.006032805 -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 0.007075121 -0.1568595328 0.33785819 0.014605963 -1.077313e-01
  < 10 -0.001625921 -0.0004448312 0.08987412 0.001466965 -5.191827e-06
  < mean 0.026733672 -0.0154165148 0.07191458 -0.027983621 -1.613391e-02
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.240651919 -0.039439081
  < 5 0.008457871 -0.034682779
  < 10 0.156690964 0.003864697
  < mean 0.052257212 -0.035169159
  ---
  > 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
  3706,3709c3700,3703
  < 1 -0.0452971501 0.008378752 -0.11249533 0.019139222 0.0422204318
  < 5 0.0596145508 0.097594314 -0.08378468 -0.058317957 0.0579613967
  < 10 -0.0004080545 -0.001433728 -0.06426598 0.005125691 -0.0001269728
  < mean 0.0116707155 0.035300638 -0.01225637 -0.022389143 0.0352398761
  ---
  > 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
  3711,3719c3705,3713
  < 1 -0.04575197 -0.025637069 -0.032928210 0.22219069 0.0145646165 -0.033231093
  < 5 -0.14267669 -0.202980048 0.014605963 0.44278638 0.2532608350 -0.218707891
  < 10 -0.07123554 -0.001707917 0.001466965 0.07750820 0.0009231966 0.005146721
  < mean -0.01034916 -0.013665954 -0.027983621 0.08380697 0.0181266251 -0.066194028
  < d_y3_d_x4
  < 1 0.27239129
  < 5 0.03873331
  < 10 0.11819223
  < mean 0.03621774
  ---
  > 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
  3724,3737c3718,3731
  < 1 -0.0615084171 -1.439950e-03 -0.0056718294 0.030287645 -0.0033230251
  < 5 0.1146558599 -1.218412e-01 -0.0400683834 -0.225949907 0.0867051796
  < 10 -0.0001953799 5.975208e-05 -0.0005889933 0.001974059 -0.0001592843
  < mean 0.0237914712 -1.615636e-02 0.0005312871 -0.051974226 0.0152752785
  < 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 -0.137884928 -0.0619119724 -1.077313e-01 0.2532608350 0.8759307993
  < 10 -0.001349787 -0.0007112627 -5.191827e-06 0.0009231966 0.0005655482
  < mean -0.007350900 0.0128462930 -1.613391e-02 0.0181266251 0.0926737101
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0023382373 0.009062048
  < 5 -0.0495778633 -0.224777674
  < 10 -0.0001162172 0.001009214
  < mean -0.0125685461 -0.048033889
  ---
  > 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
  3742,3755c3736,3749
  < 1 -0.007218395 -0.2780174 0.002932155 0.017409836 0.0009525859
  < 5 -0.034706477 -0.1481450 0.002967763 -0.030222297 -0.1134768699
  < 10 -0.000153797 -0.2017466 -0.001453441 0.003362020 -0.1243617927
  < mean -0.011818677 -0.1055978 0.015863266 0.002631755 -0.0532726679
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.040291752 -0.0150524316 0.240651919 -0.033231093 0.0023382373
  < 5 0.129208534 0.1473131981 0.008457871 -0.218707891 -0.0495778633
  < 10 -0.006213746 -0.0006702468 0.156690964 0.005146721 -0.0001162172
  < mean 0.047113343 0.0193739353 0.052257212 -0.066194028 -0.0125685461
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.6058312 -0.02023155
  < 5 0.5650991 -0.05325190
  < 10 0.3032570 0.01094240
  < mean 0.3188120 -0.02869828
  ---
  > 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
  3760,3763c3754,3757
  < 1 -0.0251532372 0.003001541 -0.21016110 0.044876415 0.044056783
  < 5 0.0141576023 0.038790682 -0.06074796 0.045852234 0.028687263
  < 10 -0.0005943693 -0.004995112 -0.10529779 0.008014755 -0.002565605
  < mean -0.0057461759 0.021178693 -0.04716382 0.022193876 0.026526436
  ---
  > 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
  3765,3773c3759,3767
  < 1 -0.08976140 -0.033763361 -0.039439081 0.27239129 0.009062048 -0.02023155
  < 5 0.01117122 -0.013813708 -0.034682779 0.03873331 -0.224777674 -0.05325190
  < 10 -0.11703934 -0.002515218 0.003864697 0.11819223 0.001009214 0.01094240
  < mean -0.02052227 -0.002864138 -0.035169159 0.03621774 -0.048033889 -0.02869828
  < d_y3_d_x4
  < 1 0.5217897
  < 5 0.2298604
  < 10 0.2117212
  < mean 0.1897607
  ---
  > 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
  3777,3814c3771,3808
  < d_y1_d_x1 0.097501018 -0.013530169 -0.0236175627 -0.015266219 0.003692544
  < d_y2_d_x1 -0.013530169 0.148777309 0.0081207346 0.009650611 -0.001428115
  < d_y3_d_x1 -0.023617563 0.008120735 0.0874269145 -0.001952959 -0.011942149
  < d_y1_d_x2 -0.015266219 0.009650611 -0.0019529594 0.062495001 -0.019839271
  < d_y2_d_x2 0.003692544 -0.001428115 -0.0119421487 -0.019839271 0.129329235
  < d_y3_d_x2 -0.004236060 -0.028898252 -0.0052575841 -0.015046395 -0.001703862
  < d_y1_d_x3 -0.031675942 -0.013244230 0.0057781402 0.008818305 -0.001777251
  < d_y2_d_x3 0.001561877 0.001839177 0.0132285142 0.006032805 -0.005665736
  < d_y3_d_x3 0.011670715 0.035300638 -0.0122563694 -0.022389143 0.035239876
  < d_y1_d_x4 0.023791471 -0.016156363 0.0005312871 -0.051974226 0.015275279
  < d_y2_d_x4 -0.011818677 -0.105597825 0.0158632661 0.002631755 -0.053272668
  < d_y3_d_x4 -0.005746176 0.021178693 -0.0471638246 0.022193876 0.026526436
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < d_y1_d_x1 -0.004236060 -0.031675942 0.001561877 0.01167072 0.0237914712
  < d_y2_d_x1 -0.028898252 -0.013244230 0.001839177 0.03530064 -0.0161563633
  < d_y3_d_x1 -0.005257584 0.005778140 0.013228514 -0.01225637 0.0005312871
  < d_y1_d_x2 -0.015046395 0.008818305 0.006032805 -0.02238914 -0.0519742255
  < d_y2_d_x2 -0.001703862 -0.001777251 -0.005665736 0.03523988 0.0152752785
  < d_y3_d_x2 0.163056422 -0.008743620 0.026733672 -0.01034916 -0.0073508996
  < d_y1_d_x3 -0.008743620 0.037723539 -0.015416515 -0.01366595 0.0128462930
  < d_y2_d_x3 0.026733672 -0.015416515 0.071914580 -0.02798362 -0.0161339070
  < d_y3_d_x3 -0.010349161 -0.013665954 -0.027983621 0.08380697 0.0181266251
  < d_y1_d_x4 -0.007350900 0.012846293 -0.016133907 0.01812663 0.0926737101
  < d_y2_d_x4 0.047113343 0.019373935 0.052257212 -0.06619403 -0.0125685461
  < d_y3_d_x4 -0.020522269 -0.002864138 -0.035169159 0.03621774 -0.0480338892
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.011818677 -0.005746176
  < d_y2_d_x1 -0.105597825 0.021178693
  < d_y3_d_x1 0.015863266 -0.047163825
  < d_y1_d_x2 0.002631755 0.022193876
  < d_y2_d_x2 -0.053272668 0.026526436
  < d_y3_d_x2 0.047113343 -0.020522269
  < d_y1_d_x3 0.019373935 -0.002864138
  < d_y2_d_x3 0.052257212 -0.035169159
  < d_y3_d_x3 -0.066194028 0.036217736
  < d_y1_d_x4 -0.012568546 -0.048033889
  < d_y2_d_x4 0.318812048 -0.028698279
  < d_y3_d_x4 -0.028698279 0.189760703
  ---
  > d_y1_d_x1 0.141540706 0.006460991 -0.034854738 -0.0573521650 0.005498191
  > 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
  > d_y1_d_x2 -0.057352165 -0.003117154 0.011532132 0.0727585583 -0.019237283
  > d_y2_d_x2 0.005498191 -0.001428115 -0.025381502 -0.0192372835 0.129329235
  > d_y3_d_x2 -0.031709695 -0.038992651 0.023351239 0.0034986111 -0.004048386
  > 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
  3822,3823c3816,3817
  < 1 0.237119196 -0.0042905706 -0.004537520 -0.16362764 0.021246739
  < 5 0.144928910 0.0130994341 -0.012655498 -0.06714164 0.006690779
  ---
  > 1 0.237119196 -0.0042905705 -0.004537520 -0.16362764 0.021246739
  > 5 0.279256250 0.0130994340 -0.042653983 -0.18347254 0.006690779
  3825c3819
  < mean 0.125767220 0.0030140117 -0.005058468 -0.06144210 0.007756283
  ---
  > mean 0.170543000 0.0030140117 -0.015057964 -0.10021907 0.007756283
  3827,3835c3821,3829
  < 1 0.053090421 0.11544498 -0.016808777 -0.049299453 -0.08098591
  < 5 -0.043850583 -0.16879831 0.021016522 0.088007379 0.13766766
  < 10 -0.020715613 -0.01939560 0.001335043 0.008648637 0.01514344
  < mean -0.003825259 -0.02424964 0.001847596 0.015785521 0.02394173
  < d_y2_d_x4 d_y3_d_x4
  < 1 4.529710e-03 0.003796963
  < 5 -4.027889e-02 -0.015321078
  < 10 -3.330669e-05 -0.000577316
  < mean -1.192750e-02 -0.004033810
  ---
  > 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
  3841,3843c3835,3837
  < 5 4.089560e-01 -6.483072e-02 -8.364006e-02 -0.06714164 0.006690779
  < 10 3.416534e-05 -6.254719e-06 -8.454526e-05 0.00000000 0.000000000
  < mean 2.283453e-01 -2.466976e-02 -3.512450e-02 -0.02238055 0.002230260
  ---
  > 5 4.300837e-01 -6.483072e-02 -9.133239e-02 -0.18347254 0.006690779
  > 10 3.416556e-05 -6.254719e-06 -8.454504e-05 0.00000000 0.000000000
  > mean 2.353879e-01 -2.466976e-02 -3.768861e-02 -0.06115751 0.002230260
  3845,3848c3839,3842
  < 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  < 5 -0.04385058 -0.16895374 0.020861091 0.08816281 0.13775647 -0.04019007
  < 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  < mean -0.01461686 -0.05631791 0.006953697 0.02938760 0.04591882 -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
  3850,3853c3844,3847
  < 1 0.000000000
  < 5 -0.015409896
  < 10 0.000000000
  < mean -0.005136632
  ---
  > 1 0.00000000
  > 5 0.03326228
  > 10 0.00000000
  > mean 0.01108743
  3858,3861c3852,3855
  < 1 0.23711920 -0.004290571 -0.004537520 0.03892668 -0.004881742 -0.01711139
  < 5 0.00000000 0.000000000 0.000000000 0.34181432 -0.058139940 -0.12749064
  < 10 0.00000000 0.000000000 0.000000000 0.05122359 -0.004908095 -0.02281777
  < mean 0.07903973 -0.001430190 -0.001512507 0.14398820 -0.022643259 -0.05580660
  ---
  > 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
  3863c3857
  < 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
  3866c3860
  < 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
  3871,3874c3865,3868
  < 1 -0.253201499 0.0045815731 0.004845272 0.17472547 -0.022687772 -0.05669121
  < 5 -0.090586260 -0.0081876607 0.007910183 0.04196616 -0.004182000 0.02740834
  < 10 -0.005951165 0.0002923537 0.002529713 0.05823090 -0.005853647 -0.02597354
  < mean -0.116579641 -0.0011045779 0.005095056 0.09164084 -0.010907806 -0.01841881
  ---
  > 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
  > 10 -0.005951165 0.0002923537 0.002529713 0.0582309 -0.005853647 -0.02597354
  > mean -0.144566262 -0.0011045781 0.011345133 0.1158780 -0.010907806 -0.01705108
  3876,3879c3870,3873
  < 1 -0.08438163 0.013903232 0.035626979 0.086491925 -3.730349e-03
  < 5 0.51416070 -0.078264418 -0.138862552 -0.086153307 2.549072e-02
  < 10 -0.01912249 0.001535543 0.008955663 0.017363888 -5.551115e-06
  < mean 0.13688553 -0.020941881 -0.031426637 0.005900835 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
  3881,3882c3875,3876
  < 1 -0.003985701
  < 5 0.008970602
  ---
  > 1 -0.004019007
  > 5 -0.020961011
  3884c3878
  < mean 0.001128727
  ---
  > mean -0.008859580
  3890c3884
  < 5 0.119070851 1.076225e-02 -0.0103975173 -0.05516230 0.005497018
  ---
  > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018
  3892c3886
  < mean 0.073999863 2.947919e-03 -0.0043667501 -0.04753795 0.005444762
  ---
  > mean 0.110786797 2.947919e-03 -0.0125821461 -0.07939637 0.005444762
  3894,3902c3888,3896
  < 1 0.022641165 0.04926077 -0.0080380147 -0.021080360 0.0043827839
  < 5 -0.036026809 -0.13874457 0.0179078974 0.072242212 0.5222431239
  < 10 0.007881690 0.00667244 -0.0005467848 -0.003885781 -0.0008593215
  < mean -0.001834652 -0.02760379 0.0031076993 0.015758691 0.1752555288
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0036382917 -0.01536834
  < 5 -0.0980041830 -0.09558606
  < 10 -0.0002061194 -0.00201334
  < mean -0.0339495314 -0.03765591
  ---
  > 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
  3906,3920c3900,3914
  < 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 -0.012903555 0.06017080 0.009013214 0.02362359 -0.11310591 -0.004653031
  < 10 0.000149237 0.21970457 0.010775848 -0.00348749 0.13273560 0.010499709
  < mean -0.006486411 0.02352282 0.002894344 0.01457826 -0.01821674 -0.004614525
  < 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 -0.0012878587 0.05356826 -0.002431388 -0.0506261699 0.06363798
  < 10 0.0009214851 -0.22632729 -0.010325074 0.0001332268 -0.30196956
  < mean -0.0047222642 0.02386702 0.004584296 -0.0156805124 0.02645661
  < d_y3_d_x4
  < 1 0.026190161
  < 5 0.009459100
  < 10 -0.011812773
  < mean 0.007945496
  ---
  > 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
  3926,3933c3920,3927
  < 5 -6.160382e-02 0.4058003 0.037210326 0.023623585 -0.11310591 -0.004653031
  < 10 -2.589928e-06 0.3469243 0.014366786 0.000000000 0.00000000 0.000000000
  < mean -2.393518e-02 0.2906896 0.018381476 0.007874528 -0.03770197 -0.001551010
  < 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 0.0000000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  < 5 -0.0010103030 0.05384582 -0.002553513 -0.05058176 0.06368239 0.009325873
  < 10 0.0000000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  < mean -0.0003367677 0.01794861 -0.000851171 -0.01686059 0.02122746 0.003108624
  ---
  > 5 -6.151580e-02 0.4058003 0.034744322 0.019825696 -0.11310591 0.019517303
  > 10 -2.590150e-06 0.3469243 0.014366785 0.000000000 0.00000000 0.000000000
  > mean -2.390584e-02 0.2906896 0.017559475 0.006608565 -0.03770197 0.006505768
  > 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 0.000000000 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
  3939c3933
  < 5 0.000000000 0.00000000 0.00000000 -0.037980236 0.2926944 0.03255729
  ---
  > 5 0.000000000 0.00000000 0.00000000 -0.041690108 0.2926944 0.05426163
  3941c3935
  < mean -0.002234972 -0.06976897 -0.00370201 -0.015037924 0.2937670 0.02044043
  ---
  > mean -0.002234972 -0.06976897 -0.00370201 -0.016274548 0.2937670 0.02767521
  3943,3946c3937,3940
  < 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
  3952,3954c3946,3948
  < 5 0.0080652285 -0.03760911 -0.005633613 -0.014765668 0.07069564 0.002908327
  < 10 0.0001871153 0.27546887 0.013510919 -0.004372667 0.16642588 0.013164692
  < mean 0.0051373370 0.15378754 0.006578863 -0.014779188 0.10547979 0.012366246
  ---
  > 5 0.0292628426 -0.03760911 -0.015075756 -0.012391838 0.07069564 -0.012199081
  > 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
  3956,3964c3950,3958
  < 1 0.0112606443 0.06748226 -0.013545748 -0.003685940 -0.3398171
  < 5 -0.0609043801 0.37226051 0.038642514 0.031930014 -0.0393019
  < 10 0.0007363513 -0.15661433 -0.009287650 0.000000000 -0.3787415
  < mean -0.0163024615 0.09437615 0.005269705 0.009414691 -0.2526201
  < d_y3_d_x4
  < 1 -0.027788882
  < 5 -0.006705747
  < 10 -0.014921397
  < mean -0.016472009
  ---
  > 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
  3969,3972c3963,3966
  < 1 -2.859406e-03 -0.08926191 -0.0047363243 0.010063992 -0.03167772
  < 5 -1.060132e-02 0.04943519 0.0074050863 0.019408690 -0.09292568
  < 10 -5.678036e-05 -0.08359122 -0.0040998980 0.001326888 -0.05050205
  < mean -4.505834e-03 -0.04113931 -0.0004770453 0.010266524 -0.05836848
  ---
  > 1 -2.859406e-03 -0.08926191 -0.004736324 0.010063992 -0.03167772
  > 5 -3.846446e-02 0.04943519 0.019816285 0.016288417 -0.09292568
  > 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326889 -0.05050205
  > mean -1.379355e-02 -0.04113931 0.003660021 0.009226432 -0.05836848
  3974,3982c3968,3976
  < 1 -0.008397189 -0.0058904270 0.10428325 0.011438073 -0.0020370519 0.4647645
  < 5 -0.003822843 -0.0007216450 0.04414247 -0.001976197 -0.1032149793 0.4576700
  < 10 -0.003994835 -0.0002331468 0.08609502 0.004019007 -0.0003738717 0.2420501
  < mean -0.005404955 -0.0022817396 0.07817358 0.004493628 -0.0352086343 0.3881615
  < d_y3_d_x4
  < 1 0.025786678
  < 5 0.044937478
  < 10 0.007943012
  < mean 0.026222389
  ---
  > 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
  3987,3990c3981,3984
  < 1 -0.0232567723 -0.011015572 -0.15915262 0.04568840 -0.015580858
  < 5 -0.0232916710 -0.007314459 0.18335766 0.03430460 -0.013690362
  < 10 0.0008188515 0.011466788 0.13119743 -0.01094591 0.009654283
  < mean -0.0152431973 -0.002287747 0.05180082 0.02301570 -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
  3992,3995c3986,3989
  < 1 -0.12588268 -0.028612529 0.025068836 0.24238112 0.011737833 0.02495781
  < 5 0.02361125 0.017486013 0.003708145 -0.10127454 -0.086730623 0.03153033
  < 10 0.15417144 0.004041212 -0.010072498 -0.21648239 -0.001953993 -0.01213474
  < mean 0.01730000 -0.002361768 0.006234827 -0.02512527 -0.025648927 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
  3998,4000c3992,3994
  < 5 -0.14113155
  < 10 -0.23958613
  < mean -0.03175608
  ---
  > 5 -0.25548452
  > 10 -0.23940849
  > mean -0.06981452
  4005,4013c3999,4007
  < 1 -3.172708e-02 0.003760221 0.1006422 0.00000000 0.000000000 0.000000000
  < 5 -1.103577e-01 0.048919331 0.4007928 0.03430460 -0.013690362 0.023611252
  < 10 -4.433343e-06 0.014931963 0.2725413 0.00000000 0.000000000 0.000000000
  < mean -4.736307e-02 0.022537172 0.2579921 0.01143487 -0.004563454 0.007870417
  < 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 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
  < 5 0.017486013 0.003708145 -0.10127454 -0.08673062 0.03153033 -0.14113155
  < 10 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
  < mean 0.005828671 0.001236048 -0.03375818 -0.02891021 0.01051011 -0.04704385
  ---
  > 1 -3.172708e-02 0.003760221 0.1006422 0.00000000 0.000000000 0.00000000
  > 5 -1.245229e-01 0.048919331 0.3650462 0.06229383 -0.013690362 0.05968877
  > 10 -4.433343e-06 0.014931963 0.2725413 0.00000000 0.000000000 0.00000000
  > mean -5.208480e-02 0.022537172 0.2460766 0.02076461 -0.004563454 0.01989626
  > 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 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
  > 5 -0.03503864 0.003830269 -0.14682700 -0.03392842 0.03166356 -0.25548452
  > 10 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
  > mean -0.01167955 0.001276756 -0.04894233 -0.01130947 0.01055452 -0.08516151
  4019,4026c4013,4020
  < 5 0.000000000 0.000000000 0.00000000 -0.076053111 0.03522897 0.4244040
  < 10 0.000000000 0.000000000 0.00000000 -0.011769192 0.01311946 0.2955153
  < mean -0.007752257 -0.003671857 -0.05305087 -0.032097536 0.02104141 0.3265714
  < 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 -0.02861253 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
  ---
  > 5 0.000000000 0.000000000 0.00000000 -0.062229064 0.03522897 0.4247349
  > 10 0.000000000 0.000000000 0.00000000 -0.011769193 0.01311946 0.2955153
  > mean -0.007752257 -0.003671857 -0.05305087 -0.027489520 0.02104141 0.3266817
  > 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 0.24238112 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
  4031,4034c4025,4028
  < 1 0.024834133 0.011762688 0.1699469 -0.04878715 0.016637610 0.13442051
  < 5 0.014558209 0.004571824 -0.1146057 -0.02144172 0.008557013 -0.01475796
  < 10 0.001026687 0.014377230 0.1644973 -0.01372414 0.012104684 0.19330245
  < mean 0.013473010 0.010237248 0.0732795 -0.02798434 0.012433102 0.10432167
  ---
  > 1 0.024834133 0.011762689 0.16994694 -0.04878715 0.016637610 0.13442051
  > 5 0.046219800 0.004571824 -0.13832156 -0.03893609 0.008557013 -0.03730783
  > 10 0.001026687 0.014377230 0.16449729 -0.01372414 0.012104684 0.19330245
  > mean 0.024026873 0.010237248 0.06537422 -0.03381579 0.012433102 0.09680504
  4036,4044c4030,4038
  < 1 0.022109401 -0.011125710 0.0008492073 -0.012528867 -0.02509104
  < 5 -0.122192689 0.045821809 0.4643419200 0.053557159 -0.02056133
  < 10 0.002940371 -0.009201082 -0.1310826416 -0.002353673 -0.01531553
  < mean -0.032380972 0.008498339 0.1113694952 0.012891540 -0.02032263
  < d_y3_d_x4
  < 1 -0.30481173
  < 5 0.08828493
  < 10 -0.30064840
  < mean -0.17239173
  ---
  > 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
  4049,4057c4043,4051
  < 1 -0.0099181813 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
  < 5 -0.0191359963 -0.006009421 0.15064319 0.02818401 -0.011247742 0.01939856
  < 10 -0.0003115492 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
  < mean -0.0097885756 -0.005023316 0.01095116 0.01727769 -0.007188532 -0.03098122
  < 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 -1.221679e-02 0.010702550 0.10342560 -0.0034860966 0.025611570 0.3815530
  < 5 1.468825e-02 0.003474998 -0.08366641 -0.1816340297 0.074898550 0.2839085
  < 10 -2.309264e-03 0.003856637 0.08156809 -0.0008232847 0.008144765 0.2320713
  < mean 5.406555e-05 0.006011395 0.03377576 -0.0619811370 0.036218295 0.2991776
  ---
  > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
  > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
  > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
  > mean -0.0236610716 -0.005023316 0.02134222 0.02494283 -0.007188532 -0.02110102
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
  > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
  > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
  > mean -0.014443828 0.005966986 0.02158366 -0.052158016 0.036159083 0.2564053
  4062,4075c4056,4069
  < 1 0.0119593147 -0.0174661633 2.470719e-03 -0.107503637 0.060236172
  < 5 0.0094047273 -0.3102622052 6.126323e-03 -0.217573304 0.141162941
  < 10 0.0002986816 -0.0001412115 5.869416e-06 -0.007937815 0.006272141
  < mean 0.0072209079 -0.1092898600 2.867637e-03 -0.111004919 0.069223751
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.057426766 0.044658027 -0.029221070 -0.0314914761 -0.0024508173
  < 5 0.038057502 0.254851695 -0.353428398 -0.0331734640 0.4804601161
  < 10 0.005869358 0.001887379 -0.001067202 -0.0004107825 0.0004440892
  < mean 0.033784542 0.100465701 -0.127905557 -0.0216919075 0.1594844627
  < d_y2_d_x4 d_y3_d_x4
  < 1 7.460699e-03 -0.0081934459
  < 5 2.866152e-01 -0.0701660952
  < 10 -5.551115e-06 -0.0002220446
  < mean 9.802344e-02 -0.0261938619
  ---
  > 1 0.0119593147 -0.0174661633 2.470719e-03 -0.1075036372 0.060236172
  > 5 -0.2627469940 -0.3102622052 5.436432e-02 0.0008249927 0.141162941
  > 10 0.0002986817 -0.0001412116 5.869527e-06 -0.0079378150 0.006272141
  > mean -0.0834963325 -0.1092898600 1.894697e-02 -0.0382054865 0.069223751
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.057426766 0.044659935 -0.029354297 -0.031555314 -0.0024487357
  > 5 0.165725303 0.360245167 -0.353705953 -0.202970973 0.3657518732
  > 10 0.005869358 0.001720846 -0.001033895 -0.000577316 0.0004884981
  > mean 0.076340476 0.135541983 -0.128031382 -0.078367868 0.1212638786
  > d_y2_d_x4 d_y3_d_x4
  > 1 7.283063e-03 -0.0082711615
  > 5 2.865708e-01 -0.1066702282
  > 10 3.885781e-05 -0.0001776357
  > mean 9.796423e-02 -0.0383730085
  4080,4083c4074,4077
  < 1 -0.03036766 -0.0028628583 -0.046038902 0.16796613 -0.014779641 0.11986384
  < 5 0.11202697 -0.1522331796 -0.134166079 0.10109648 -0.004554075 0.25411486
  < 10 -0.00310063 0.0001322237 -0.002880124 0.04099705 -0.003285345 0.03256694
  < mean 0.02618623 -0.0516546047 -0.061028368 0.10335322 -0.007539687 0.13551521
  ---
  > 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
  4085,4093c4079,4087
  < 1 -0.10554595 0.0114908083 -0.08226753 0.023814978 0.0026201263
  < 5 0.02271516 -0.0339395179 -0.31202818 -0.502087261 0.1729727472
  < 10 -0.01397771 0.0008965051 -0.01231237 0.004840572 0.0002109424
  < mean -0.03226950 -0.0071840682 -0.13553603 -0.157810570 0.0586012720
  < d_y3_d_x4
  < 1 0.030375702
  < 5 0.175814918
  < 10 0.005107026
  < mean 0.070432549
  ---
  > 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
  4098,4106c4092,4100
  < 1 -4.065696e-04 0.1000440 -0.11475185 0.013416950 0.14424394 -0.20173175
  < 5 1.012813e-02 0.1914696 0.04184322 0.031275380 0.19609338 -0.14276885
  < 10 -5.019241e-05 0.1066395 -0.12691634 0.000569624 0.08873839 -0.08386716
  < mean 3.223789e-03 0.1327177 -0.06660832 0.015087318 0.14302524 -0.14278925
  < 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 -0.0508038056 -0.23672175 0.24427127 -0.0849098569 -0.46087578 0.2320810
  < 10 -0.0006106227 -0.08063689 0.07922552 0.0003996803 -0.09792722 0.0980549
  < mean -0.0188264335 -0.17946801 0.20089023 -0.0282415295 -0.27434536 0.2236988
  ---
  > 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
  4110c4104
  < d_y1_d_x1 0.125767220 0.228345336 0.079039732 -0.116579641 0.073999863
  ---
  > d_y1_d_x1 0.170543000 0.235387911 0.079039732 -0.144566262 0.110786797
  4112,4113c4106,4107
  < d_y3_d_x1 -0.005058468 -0.035124505 -0.001512507 0.005095056 -0.004366750
  < d_y1_d_x2 -0.061442101 -0.022380547 0.143988198 0.091640845 -0.047537948
  ---
  > d_y3_d_x1 -0.015057964 -0.037688614 -0.001512507 0.011345133 -0.012582146
  > d_y1_d_x2 -0.100219066 -0.061157512 0.112253808 0.115877971 -0.079396369
  4115,4121c4109,4115
  < d_y3_d_x2 -0.003825259 -0.014616861 -0.055806601 -0.018418806 -0.001834652
  < d_y1_d_x3 -0.024249642 -0.056317913 0.038489755 0.136885527 -0.027603787
  < d_y2_d_x3 0.001847596 0.006953697 -0.005602926 -0.020941881 0.003107699
  < d_y3_d_x3 0.015785521 0.029387603 -0.016446104 -0.031426637 0.015758691
  < d_y1_d_x4 0.023941728 0.045918824 -0.026999930 0.005900835 0.175255529
  < d_y2_d_x4 -0.011927496 -0.013396691 0.001509903 0.007251607 -0.033949531
  < d_y3_d_x4 -0.004033810 -0.005136632 0.001273056 0.001128727 -0.037655913
  ---
  > d_y3_d_x2 -0.006013487 -0.016805090 -0.060558939 -0.017051077 -0.003632459
  > 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
  4123,4134c4117,4128
  < d_y1_d_x1 -0.006486411 -0.0239351817 -0.002234972 0.005137337 -0.0045058344
  < d_y2_d_x1 0.023522821 0.2906896241 -0.069768968 0.153787542 -0.0411393112
  < d_y3_d_x1 0.002894344 0.0183814760 -0.003702010 0.006578863 -0.0004770453
  < d_y1_d_x2 0.014578258 0.0078745284 -0.015037924 -0.014779188 0.0102665236
  < d_y2_d_x2 -0.018216738 -0.0377019711 0.293766966 0.105479788 -0.0583684833
  < d_y3_d_x2 -0.004614525 -0.0015510104 0.020440429 0.012366246 -0.0054049554
  < d_y1_d_x3 -0.004722264 -0.0003367677 -0.004600140 -0.016302461 -0.0022817396
  < d_y2_d_x3 0.023867019 0.0179486056 0.081453363 0.094376146 0.0781735787
  < d_y3_d_x3 0.004584296 -0.0008511710 0.008836450 0.005269705 0.0044936277
  < d_y1_d_x4 -0.015680512 -0.0168605870 0.001150469 0.009414691 -0.0352086343
  < d_y2_d_x4 0.026456615 0.0212274642 0.105900474 -0.252620147 0.3881615121
  < d_y3_d_x4 0.007945496 0.0031086245 0.008730054 -0.016472009 0.0262223894
  ---
  > d_y1_d_x1 -0.017791095 -0.023905843 -0.002234972 0.012203208 -0.013793549
  > d_y2_d_x1 0.023522821 0.290689624 -0.069768968 0.153787542 -0.041139311
  > d_y3_d_x1 0.007929838 0.017559475 -0.003702010 0.003431481 0.003660021
  > d_y1_d_x2 0.013312295 0.006608565 -0.016274548 -0.013987911 0.009226432
  > d_y2_d_x2 -0.018216738 -0.037701971 0.293766966 0.105479788 -0.058368483
  > d_y3_d_x2 0.003442253 0.006505768 0.027675206 0.007330444 0.001214341
  > d_y1_d_x3 0.002574966 0.006940744 -0.004600776 -0.020806649 0.003624416
  > d_y2_d_x3 0.023745820 0.017907897 0.081327537 0.094373833 0.078080135
  > d_y3_d_x3 -0.007085998 -0.012493710 0.008849403 0.011573486 -0.005212497
  > d_y1_d_x4 0.012029960 0.010828375 0.001149775 -0.007823834 -0.012320729
  > d_y2_d_x4 0.026312286 0.021183055 0.105752444 -0.252525778 0.388068994
  > d_y3_d_x4 -0.007531013 -0.012316074 0.008722652 -0.006620630 0.012658728
  4136,4147c4130,4141
  < d_y1_d_x1 -0.015243197 -0.047363074 -0.007752257 0.013473010 -9.788576e-03
  < d_y2_d_x1 -0.002287747 0.022537172 -0.003671857 0.010237248 -5.023316e-03
  < d_y3_d_x1 0.051800825 0.257992100 -0.053050872 0.073279497 1.095116e-02
  < d_y1_d_x2 0.023015696 0.011434867 -0.032097536 -0.027984339 1.727769e-02
  < d_y2_d_x2 -0.006538979 -0.004563454 0.021041407 0.012433102 -7.188532e-03
  < d_y3_d_x2 0.017300002 0.007870417 0.326571393 0.104321667 -3.098122e-02
  < d_y1_d_x3 -0.002361768 0.005828671 -0.009537510 -0.032380972 5.406555e-05
  < d_y2_d_x3 0.006234827 0.001236048 0.008356279 0.008498339 6.011395e-03
  < d_y3_d_x3 -0.025125272 -0.033758181 0.080793705 0.111369495 3.377576e-02
  < d_y1_d_x4 -0.025648927 -0.028910208 0.003912611 0.012891540 -6.198114e-02
  < d_y2_d_x4 0.014784470 0.010510111 0.008319271 -0.020322632 3.621829e-02
  < d_y3_d_x4 -0.031756079 -0.047043850 0.095149814 -0.172391731 2.991776e-01
  ---
  > d_y1_d_x1 -0.032128318 -0.052084800 -0.007752257 0.024026873 -0.023661072
  > d_y2_d_x1 -0.002287747 0.022537172 -0.003671857 0.010237248 -0.005023316
  > d_y3_d_x1 0.064448467 0.246076566 -0.053050872 0.065374224 0.021342222
  > d_y1_d_x2 0.032345438 0.020764608 -0.027489520 -0.033815794 0.024942832
  > d_y2_d_x2 -0.006538979 -0.004563454 0.021041407 0.012433102 -0.007188532
  > d_y3_d_x2 0.029325843 0.019896258 0.326681700 0.096805045 -0.021101018
  > 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
  4149,4160c4143,4154
  < d_y1_d_x1 0.007220908 0.026186227 0.003223789
  < d_y2_d_x1 -0.109289860 -0.051654605 0.132717687
  < d_y3_d_x1 0.002867637 -0.061028368 -0.066608321
  < d_y1_d_x2 -0.111004919 0.103353219 0.015087318
  < d_y2_d_x2 0.069223751 -0.007539687 0.143025236
  < d_y3_d_x2 0.033784542 0.135515210 -0.142789254
  < d_y1_d_x3 0.100465701 -0.032269500 -0.018826433
  < d_y2_d_x3 -0.127905557 -0.007184068 -0.179468015
  < d_y3_d_x3 -0.021691908 -0.135536027 0.200890230
  < d_y1_d_x4 0.159484463 -0.157810570 -0.028241529
  < d_y2_d_x4 0.098023441 0.058601272 -0.274345361
  < d_y3_d_x4 -0.026193862 0.070432549 0.223698837
  ---
  > d_y1_d_x1 -0.08349633 -0.056206349 0.03636834
  > d_y2_d_x1 -0.10928986 -0.051654605 0.13271769
  > d_y3_d_x1 0.01894697 -0.019072980 -0.15893051
  > d_y1_d_x2 -0.03820549 0.142452268 -0.01115707
  > d_y2_d_x2 0.06922375 -0.007539687 0.14302524
  > d_y3_d_x2 0.07634048 0.162235178 -0.18202428
  > 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
  4171,4178c4165,4172
  < 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
  < mean: d_y1_d_x1 0.213146161 0.312251530 0.6826105 0.4948530
  ---
  > 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
  > mean: d_y1_d_x1 0.189788204 0.376218960 0.5044621 0.6139367
  4180,4181c4174,4175
  < mean: d_y3_d_x1 -0.168169090 0.295680426 -0.5687529 0.5695239
  < mean: d_y1_d_x2 -0.160439535 0.249990002 -0.6417838 0.5210136
  ---
  > mean: d_y3_d_x1 -0.155663711 0.317142247 -0.4908325 0.6235449
  > mean: d_y1_d_x2 -0.145725401 0.269737944 -0.5402481 0.5890260
  4183,4189c4177,4183
  < mean: d_y3_d_x2 -0.158528562 0.403802454 -0.3925894 0.6946228
  < mean: d_y1_d_x3 0.193470657 0.194225486 0.9961136 0.3191949
  < mean: d_y2_d_x3 -0.352687254 0.268168940 -1.3151682 0.1884534
  < mean: d_y3_d_x3 0.223853352 0.289494326 0.7732564 0.4393706
  < mean: d_y1_d_x4 -0.133770793 0.304423570 -0.4394232 0.6603549
  < mean: d_y2_d_x4 -0.414040021 0.564634437 -0.7332886 0.4633824
  < mean: d_y3_d_x4 0.318613766 0.435615316 0.7314108 0.4645282
  ---
  > mean: d_y3_d_x2 -0.148943376 0.433865673 -0.3432938 0.7313775
  > 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' ...106,109c106,109
  < 2 0.25968794 0.872712752 0.051470493 0.58712540 0.828194097
  < 3 0.99197177 0.891898856 0.473556615 0.29806850 0.496954296
  < 4 0.86895992 0.314897599 0.791620120 0.33544660 0.192586859
  < 5 0.99777184 0.283024324 0.999969708 0.17775386 0.604718655
  ---
  > 2 0.08400213 0.235313145 0.310679153 0.12802299 0.713628125
  > 3 0.73085786 0.731725391 0.452200078 0.12125512 0.106699092
  > 4 0.99020810 0.314897599 0.592735232 0.31911334 0.382726222
  > 5 0.99942843 0.126181454 0.924677272 0.10690591 0.780360195
  113,114c113,114
  < 9 0.39507644 0.679512447 0.109106985 0.75198844 0.132787286
  < 10 0.03366934 0.005277433 0.970812147 0.05247669 0.998407898
  ---
  > 9 0.79438617 0.925987961 0.095247132 0.88299533 0.332071756
  > 10 0.21364352 0.001567529 1.000238282 0.05247669 0.999084535
  144,145c144,145
  < [1] -1.1306223 -3.0323147 -3.2643417 -1.6111544 -2.7150121 -0.3424105
  < [7] -0.4303804 -0.2160646 -3.1278261 -0.1373212
  ---
  > [1] -1.1306223 -2.8835781 -2.4997019 -2.3888511 -3.2388258 -0.3424105
  > [7] -0.4303804 -0.2160646 -1.0259354 -3.0308173
  157,158c157,158
  < [1] -1.1306223 -3.0323147 -3.2643417 -1.6111544 -2.7150121 -0.3424105
  < [7] -0.4303804 -0.2160646 -3.1278261 -0.1373212
  ---
  > [1] -1.1306223 -2.8835781 -2.4997019 -2.3888511 -3.2388258 -0.3424105
  > [7] -0.4303804 -0.2160646 -1.0259354 -3.0308173
  161,165c161,165
  < [1,] 0.829645430 0.000000000 1.015553870 -0.885915058 0.07479024
  < [2,] 1.506956380 0.000000000 0.542223742 -0.328478688 0.30106333
  < [3,] 0.028200821 0.028200821 0.011302084 -0.028934168 0.23870990
  < [4,] 0.278884058 0.278884058 0.030867645 -0.203276144 -0.57866261
  < [5,] 0.008065929 0.008065929 -0.004483375 -0.005041522 -0.49409119
  ---
  > [1,] 0.829645431 0.000000000 1.015553870 -0.885915058 0.07479024
  > [2,] -0.210843581 0.000000000 -0.075864436 0.045958612 -0.48096658
  > [3,] 0.541387385 0.541387385 0.216972608 -0.555465865 -1.40881612
  > [4,] 0.033934780 0.033934780 0.003755994 -0.024734764 1.25977164
  > [5,] 0.003771511 0.003771511 -0.002096361 -0.002357343 1.78318473
  168,170c168,170
  < [8,] 0.195184004 0.000000000 -0.383852211 0.029935979 -0.06607573
  < [9,] -0.786230379 0.000000000 -0.551427316 0.894837835 -1.33563578
  < [10,] -0.083676789 0.000000000 0.039561667 -0.104915206 -0.01635681
  ---
  > [8,] 0.195184004 0.000000000 -0.383852210 0.029935979 -0.06607573
  > [9,] 0.415106227 0.000000000 0.291137202 -0.472447729 0.17791536
  > [10,] -0.420474439 0.000000000 0.198796702 -0.527197125 -0.00565331
  172,181c172,181
  < [1,] 0.00000000 0.091549369 -0.07986279 -0.0729664529 0.0000000000
  < [2,] 0.00000000 0.108326748 -0.06562425 -0.1739281168 0.0000000000
  < [3,] 0.23870990 0.095668112 -0.24491742 -1.0683656142 -1.0683656142
  < [4,] -0.57866261 -0.064047949 0.42178210 0.4510185623 0.4510185623
  < [5,] -0.49409119 0.274636210 0.30882640 0.0005630474 0.0005630474
  < [6,] 0.03712902 0.066346340 -0.06262528 -0.0229342771 -0.0229342771
  < [7,] -0.05339755 -0.026583998 -0.04473578 0.2517569103 0.2517569103
  < [8,] 0.00000000 0.129945662 -0.01013424 0.0039012365 0.0000000000
  < [9,] 0.00000000 -0.936756040 1.52013642 -0.2572863549 0.0000000000
  < [10,] 0.00000000 0.007733357 -0.02050841 0.0698422493 0.0000000000
  ---
  > [1,] 0.00000000 0.091549369 -0.079862789 -7.296645e-02 0.00000000
  > [2,] 0.00000000 -0.173058427 0.104838650 -7.277982e-01 0.00000000
  > [3,] -1.40881612 -0.564613280 1.445451605 -9.941635e-01 -0.99416353
  > [4,] 1.25977164 0.139434946 -0.918236497 8.198403e-01 0.81984027
  > [5,] 1.78318473 -0.991167423 -1.114560477 1.725897e-01 0.17258971
  > [6,] 0.03712902 0.066346340 -0.062625276 -2.293428e-02 -0.02293428
  > [7,] -0.05339755 -0.026583998 -0.044735780 2.517569e-01 0.25175691
  > [8,] 0.00000000 0.129945662 -0.010134241 3.901237e-03 0.00000000
  > [9,] 0.00000000 0.124781987 -0.202492042 -2.095376e-01 0.00000000
  > [10,] 0.00000000 0.002672837 -0.007088205 8.131718e-06 0.00000000
  183,192c183,192
  < [1,] -0.0893169068 0.0779153081 0.10575660 0.00000000 0.12945472
  < [2,] -0.0625817413 0.0379119664 -1.25295393 0.00000000 -0.45083015
  < [3,] -0.4281704370 1.0961478726 1.46951888 1.46951888 0.58894121
  < [4,] 0.0499199594 -0.3287434743 -0.62069563 -0.62069563 -0.06870028
  < [5,] -0.0003129649 -0.0003519267 1.52587918 1.52587918 -0.84814642
  < [6,] -0.0409815611 0.0386830918 0.25623135 0.25623135 0.45786317
  < [7,] 0.1253372982 0.2109186778 -0.08556548 -0.08556548 -0.04259882
  < [8,] -0.0076722386 0.0005983448 -0.17849777 0.00000000 0.35103677
  < [9,] -0.1804493034 0.2928271039 0.48068226 0.00000000 0.33712934
  < [10,] -0.0330208154 0.0875692543 -0.11902151 0.00000000 0.05627235
  ---
  > [1,] -8.931691e-02 7.791531e-02 0.10575660 0.00000000 0.12945472
  > [2,] -2.618719e-01 1.586418e-01 -0.35696897 0.00000000 -0.12844237
  > [3,] -3.984324e-01 1.020016e+00 -0.33362178 -0.33362178 -0.13370608
  > [4,] 9.074215e-02 -5.975744e-01 -0.61922813 -0.61922813 -0.06853785
  > [5,] -9.593246e-02 -1.078753e-01 -0.21135463 -0.21135463 0.11747960
  > [6,] -4.098156e-02 3.868309e-02 0.25623135 0.25623135 0.45786317
  > [7,] 1.253373e-01 2.109187e-01 -0.08556548 -0.08556548 -0.04259882
  > [8,] -7.672239e-03 5.983448e-04 -0.17849777 0.00000000 0.35103677
  > [9,] -1.469604e-01 2.384825e-01 0.25098465 0.00000000 0.17602957
  > [10,] -3.844606e-06 1.019567e-05 2.14880542 0.00000000 -1.01593674
  195,199c195,199
  < [2,] 0.27311253 0.341544286 0.00000000 0.122892357 -0.074448087
  < [3,] -1.50773290 0.924470022 0.92447002 0.370501192 -0.948510355
  < [4,] 0.45241960 -0.378155960 -0.37815596 -0.041855329 0.275634562
  < [5,] -0.95373441 0.661509093 0.66150909 -0.367693965 -0.413469159
  < [6,] -0.43218371 -0.018413872 -0.01841387 -0.032903990 0.031058555
  ---
  > [2,] 0.07781028 -1.317896627 0.00000000 -0.474197429 0.287268405
  > [3,] 0.34229743 -0.235116587 -0.23511659 -0.094228015 0.241230664
  > [4,] 0.45134995 -0.702249681 -0.70224968 -0.077726902 0.511863633
  > [5,] 0.13210494 -1.471345604 -1.47134560 0.817834410 0.919648779
  > [6,] -0.43218371 -0.018413872 -0.01841387 -0.032903989 0.031058554
  202,203c202,203
  < [9,] -0.54708223 -0.273051417 0.00000000 -0.191506223 0.310769904
  < [10,] -0.14923095 0.006044596 0.00000000 -0.002857833 0.007578804
  ---
  > [9,] -0.28565490 -0.561014732 0.00000000 -0.393470993 0.638511588
  > [10,] 2.69420429 0.003719452 0.00000000 -0.001758525 0.004663505
  205,214c205,214
  < [1,] 0.1253095627 -0.0297429634 0.168661166 -0.317886104 -0.0208711564
  < [2,] 0.7025034017 -0.2310527845 -1.467310764 0.460141361 -0.1173459587
  < [3,] 0.0320304983 -0.0245890956 0.077917241 0.019108687 -0.3597735074
  < [4,] -0.0442589070 0.1844708730 -0.063565549 -0.125120456 -0.3829742716
  < [5,] 0.0001027849 0.0000825997 0.024379579 0.004037650 -0.0009016827
  < [6,] 0.0296042997 -0.0025989871 0.138285252 -0.004564782 -0.0038689822
  < [7,] 0.0380970108 -0.0168298058 0.049281651 -0.048184360 -0.0366696287
  < [8,] -0.0008799583 0.0028606945 -0.004381225 0.001581942 -0.0012885881
  < [9,] 1.4236956019 0.3163755182 -0.176222179 0.168016471 0.1964305119
  < [10,] 0.0089228584 -0.0008862496 0.036983181 -0.001222368 -0.0055697392
  ---
  > [1,] 0.1253095627 -2.974296e-02 1.686612e-01 -0.317886104 -0.0208711564
  > [2,] 0.2373436221 2.127181e-01 1.696971e-01 0.246140189 0.2225286910
  > [3,] -0.4565641536 -3.776616e-01 -6.772429e-02 -0.159090089 1.0955888663
  > [4,] 0.0932491169 5.409154e-02 -2.715220e-03 -0.032249332 0.8408139847
  > [5,] 0.0140944278 3.817987e-03 -7.985301e-05 -0.007061590 0.2433483024
  > [6,] 0.0296042997 -2.598987e-03 1.382853e-01 -0.004564782 -0.0038689822
  > [7,] 0.0380970110 -1.682981e-02 4.928165e-02 -0.048184360 -0.0366696286
  > [8,] -0.0008799584 2.860694e-03 -4.381225e-03 0.001581942 -0.0012885881
  > [9,] 0.1742684002 -4.091158e-02 2.153006e-01 -0.249286491 -0.0828865914
  > [10,] 0.0098217501 -2.046363e-06 -6.627940e-01 -0.001926264 -0.0000053344
  216,225c216,225
  < [1,] 0.0003426339 -5.483524e-03 -0.0018480113 0.0100890718 -0.0323882141
  < [2,] -0.4644179041 1.949214e-01 0.4909374391 -0.1428712508 -0.3282253767
  < [3,] 0.3783280493 3.041832e-01 -0.7794965691 -1.3445426172 1.6225290635
  < [4,] 0.3455217708 3.272277e-01 -0.0321739135 -0.2813773226 0.3108199227
  < [5,] -0.7868290082 -2.008823e-01 0.0029556992 0.0000308380 1.0495508369
  < [6,] 0.0037047386 9.094581e-05 0.0007130642 -0.0001813092 -0.0033234271
  < [7,] 0.0034465638 -3.419331e-03 -0.0016835920 0.0282567257 -0.0185170395
  < [8,] 0.0079515947 3.547434e-04 -0.0010920841 0.0012201491 -0.0020131905
  < [9,] -0.7279351633 5.083677e-01 -0.0136150291 0.0340948798 -0.0930338500
  < [10,] 0.0007581671 3.229956e-04 0.0001981400 -0.0002949336 0.0001573233
  ---
  > [1,] 0.0003426339 -5.483524e-03 -1.848011e-03 1.008907e-02 -0.032388214
  > [2,] 0.1630178854 8.015298e-01 6.566876e-01 7.021440e-01 0.624207085
  > [3,] 0.4824577493 4.457555e-01 7.163385e-01 1.268289e-01 0.151695654
  > [4,] -0.7549204981 -7.071321e-01 -1.072649e-01 -7.800970e-01 0.559948980
  > [5,] -0.3932874630 -2.331606e+00 -1.072564e-03 -3.269655e-01 0.343980675
  > [6,] 0.0037047386 9.094581e-05 7.130642e-04 -1.813092e-04 -0.003323427
  > [7,] 0.0034465639 -3.419331e-03 -1.683592e-03 2.825673e-02 -0.018517040
  > [8,] 0.0079515947 3.547434e-04 -1.092084e-03 1.220149e-03 -0.002013191
  > [9,] 0.0243839280 -4.164471e-02 -2.133552e-03 6.008647e-02 -0.113067605
  > [10,] -0.0164988196 2.513079e-04 5.699752e-05 -3.418155e-06 0.008852964
  237,238c237,238
  < [1] -1.1306223 -3.0323147 -3.2643417 -1.6111544 -2.7150121 -0.3424105
  < [7] -0.4303804 -0.2160646 -3.1278261 -0.1373212
  ---
  > [1] -1.1306223 -2.8835781 -2.4997019 -2.3888511 -3.2388258 -0.3424105
  > [7] -0.4303804 -0.2160646 -1.0259354 -3.0308173
  242,246c242,246
  < [2,] 1.506956925 0.000000000 0.542223938 -0.328478807 0.30106359
  < [3,] 0.028200865 0.028200865 0.011302101 -0.028934213 0.23871009
  < [4,] 0.278884282 0.278884282 0.030867670 -0.203276307 -0.57866228
  < [5,] 0.008065943 0.008065943 -0.004483383 -0.005041531 -0.49409092
  < [6,] 0.229644108 0.229644108 0.410354074 -0.387339182 0.03712907
  ---
  > [2,] -0.210843382 0.000000000 -0.075864364 0.045958568 -0.48096627
  > [3,] 0.541387742 0.541387742 0.216972751 -0.555466231 -1.40881560
  > [4,] 0.033934831 0.033934831 0.003755999 -0.024734801 1.25977208
  > [5,] 0.003771518 0.003771518 -0.002096365 -0.002357347 1.78318521
  > [6,] 0.229644108 0.229644108 0.410354074 -0.387339181 0.03712907
  249,250c249,250
  < [9,] -0.786229940 0.000000000 -0.551427008 0.894837335 -1.33563528
  < [10,] -0.083676704 0.000000000 0.039561627 -0.104915100 -0.01635678
  ---
  > [9,] 0.415106501 0.000000000 0.291137394 -0.472448042 0.17791553
  > [10,] -0.420474161 0.000000000 0.198796571 -0.527196777 -0.00565330
  252,261c252,261
  < [1,] 0.00000000 0.091549475 -0.07986288 -0.0729663754 0.0000000000
  < [2,] 0.00000000 0.108326841 -0.06562431 -0.1739278841 0.0000000000
  < [3,] 0.23871009 0.095668190 -0.24491762 -1.0683649441 -1.0683649441
  < [4,] -0.57866228 -0.064047913 0.42178186 0.4510189056 0.4510189056
  < [5,] -0.49409092 0.274636058 0.30882623 0.0005630483 0.0005630483
  < [6,] 0.03712907 0.066346422 -0.06262535 -0.0229342477 -0.0229342477
  < [7,] -0.05339749 -0.026583967 -0.04473573 0.2517570944 0.2517570944
  < [8,] 0.00000000 0.129945531 -0.01013423 0.0039012426 0.0000000000
  < [9,] 0.00000000 -0.936755684 1.52013584 -0.2572861222 0.0000000000
  < [10,] 0.00000000 0.007733346 -0.02050838 0.0698423195 0.0000000000
  ---
  > [1,] 0.00000000 0.091549474 -0.079862881 -7.296638e-02 0.00000000
  > [2,] 0.00000000 -0.173058313 0.104838581 -7.277977e-01 0.00000000
  > [3,] -1.40881560 -0.564613073 1.445451077 -9.941630e-01 -0.99416298
  > [4,] 1.25977208 0.139434996 -0.918236822 8.198408e-01 0.81984076
  > [5,] 1.78318521 -0.991167690 -1.114560777 1.725899e-01 0.17258986
  > [6,] 0.03712907 0.066346422 -0.062625353 -2.293425e-02 -0.02293425
  > [7,] -0.05339749 -0.026583966 -0.044735726 2.517571e-01 0.25175709
  > [8,] 0.00000000 0.129945531 -0.010134230 3.901242e-03 0.00000000
  > [9,] 0.00000000 0.124782104 -0.202492231 -2.095374e-01 0.00000000
  > [10,] 0.00000000 0.002672832 -0.007088193 8.132162e-06 0.00000000
  263,272c263,272
  < [1,] -0.0893168119 0.0779152254 0.1057567 0.0000000 0.12945486 -0.11292952
  < [2,] -0.0625816576 0.0379119157 -1.2529534 0.0000000 -0.45082995 0.27311240
  < [3,] -0.4281701684 1.0961471850 1.4695195 1.4695195 0.58894148 -1.50773358
  < [4,] 0.0499199974 -0.3287437245 -0.6206953 -0.6206953 -0.06870024 0.45241933
  < [5,] -0.0003129654 -0.0003519273 1.5258796 1.5258796 -0.84814664 -0.95373466
  < [6,] -0.0409815084 0.0386830421 0.2562315 0.2562315 0.45786351 -0.43218403
  < [7,] 0.1253373899 0.2109188321 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  < [8,] -0.0076722506 0.0005983457 -0.1784976 0.0000000 0.35103649 -0.02737674
  < [9,] -0.1804491402 0.2928268390 0.4806826 0.0000000 0.33712956 -0.54708259
  < [10,] -0.0330208486 0.0875693423 -0.1190214 0.0000000 0.05627230 -0.14923081
  ---
  > [1,] -8.931681e-02 7.791523e-02 0.1057567 0.0000000 0.12945486 -0.11292952
  > [2,] -2.618717e-01 1.586417e-01 -0.3569686 0.0000000 -0.12844224 0.07781020
  > [3,] -3.984321e-01 1.020016e+00 -0.3336214 -0.3336214 -0.13370595 0.34229709
  > [4,] 9.074220e-02 -5.975747e-01 -0.6192277 -0.6192277 -0.06853781 0.45134966
  > [5,] -9.593255e-02 -1.078754e-01 -0.2113545 -0.2113545 0.11747951 0.13210484
  > [6,] -4.098151e-02 3.868304e-02 0.2562315 0.2562315 0.45786351 -0.43218403
  > [7,] 1.253374e-01 2.109188e-01 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  > [8,] -7.672250e-03 5.983457e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
  > [9,] -1.469603e-01 2.384823e-01 0.2509849 0.0000000 0.17602971 -0.28565513
  > [10,] -3.844816e-06 1.019623e-05 2.1488059 0.0000000 -1.01593697 2.69420491
  274,280c274,280
  < [1,] -0.374754461 0.00000000 -0.458730115 0.400171698 0.1253096387
  < [2,] 0.341544520 0.00000000 0.122892441 -0.074448138 0.7025038951
  < [3,] 0.924470437 0.92447044 0.370501358 -0.948510780 0.0320304854
  < [4,] -0.378155709 -0.37815571 -0.041855301 0.275634379 -0.0442590069
  < [5,] 0.661509406 0.66150941 -0.367694139 -0.413469355 0.0001027836
  < [6,] -0.018413848 -0.01841385 -0.032903948 0.031058515 0.0296042829
  < [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969802
  ---
  > [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096387
  > [2,] -1.317896170 0.00000000 -0.474197265 0.287268305 0.2373435311
  > [3,] -0.235116392 -0.23511639 -0.094227938 0.241230464 -0.4565639489
  > [4,] -0.702249319 -0.70224932 -0.077726862 0.511863369 0.0932493380
  > [5,] -1.471345146 -1.47134515 0.817834155 0.919648493 0.0140945029
  > [6,] -0.018413848 -0.01841385 -0.032903947 0.031058514 0.0296042829
  > [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969803
  282,283c282,283
  < [9,] -0.273051212 0.00000000 -0.191506079 0.310769670 1.4236959451
  < [10,] 0.006044605 0.00000000 -0.002857837 0.007578816 0.0089228475
  ---
  > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
  > [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217581
  285,294c285,294
  < [1,] -0.0297429905 0.168661245 -0.317886056 -0.0208711777 0.0003426259
  < [2,] -0.2310526006 -1.467309031 0.460141663 -0.1173460729 -0.4644176794
  < [3,] -0.0245891156 0.077917437 0.019108678 -0.3597734604 0.3783282811
  < [4,] 0.1844707815 -0.063565664 -0.125120522 -0.3829743065 0.3455217767
  < [5,] 0.0000825997 0.024379671 0.004037647 -0.0009016805 -0.7868284841
  < [6,] -0.0025989907 0.138285183 -0.004564789 -0.0038689898 0.0037047267
  < [7,] -0.0168298432 0.049281613 -0.048184397 -0.0366696570 0.0034465556
  < [8,] 0.0028606900 -0.004381243 0.001581939 -0.0012885915 0.0079515814
  < [9,] 0.3163755178 -0.176222296 0.168016431 0.1964305185 -0.7279347800
  < [10,] -0.0008862533 0.036983148 -0.001222372 -0.0055697473 0.0007581633
  ---
  > [1,] -2.974299e-02 0.1686612452 -0.317886056 -0.0208711775 0.0003426259
  > [2,] 2.127180e-01 0.1696969316 0.246140337 0.2225285902 0.1630177779
  > [3,] -3.776616e-01 -0.0677244549 -0.159090152 1.0955898788 0.4824580824
  > [4,] 5.409158e-02 -0.0027152378 -0.032249331 0.8408145913 -0.7549200984
  > [5,] 3.817985e-03 -0.0000798539 -0.007061574 0.2433485378 -0.3932870731
  > [6,] -2.598991e-03 0.1382851830 -0.004564789 -0.0038689896 0.0037047264
  > [7,] -1.682984e-02 0.0492816124 -0.048184397 -0.0366696570 0.0034465556
  > [8,] 2.860690e-03 -0.0043812432 0.001581939 -0.0012885915 0.0079515814
  > [9,] -4.091164e-02 0.2153004817 -0.249286519 -0.0828866578 0.0243838705
  > [10,] -2.046363e-06 -0.6627932096 -0.001926267 -0.0000053344 -0.0164987584
  296,305c296,305
  < [1,] -5.483544e-03 -0.0018479951 1.008905e-02 -0.0323882421
  < [2,] 1.949213e-01 0.4909379792 -1.428713e-01 -0.3282252683
  < [3,] 3.041832e-01 -0.7794960464 -1.344542e+00 1.6225297244
  < [4,] 3.272276e-01 -0.0321741214 -2.813774e-01 0.3108198792
  < [5,] -2.008824e-01 0.0029557361 3.083844e-05 1.0495514799
  < [6,] 9.094553e-05 0.0007130634 -1.813084e-04 -0.0033234336
  < [7,] -3.419339e-03 -0.0016835884 2.825669e-02 -0.0185170487
  < [8,] 3.547431e-04 -0.0010920835 1.220151e-03 -0.0020131930
  < [9,] 5.083680e-01 -0.0136150642 3.409483e-02 -0.0930339099
  < [10,] 3.229950e-04 0.0001981355 -2.949346e-04 0.0001573203
  ---
  > [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
  321,324c321,324
  < [2,] 1.506956925 0.000000000 0.542223938 -0.328478807 0.30106359
  < [3,] 0.028200865 0.028200865 0.011302101 -0.028934213 0.23871009
  < [4,] 0.278884282 0.278884282 0.030867670 -0.203276307 -0.57866228
  < [5,] 0.008065943 0.008065943 -0.004483383 -0.005041531 -0.49409092
  ---
  > [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
  > [5,] 0.003771518 0.003771518 -0.002096365 -0.002357347 1.78318521
  328,329c328,329
  < [9,] -0.786229940 0.000000000 -0.551427008 0.894837336 -1.33563528
  < [10,] -0.083676704 0.000000000 0.039561626 -0.104915100 -0.01635678
  ---
  > [9,] 0.415106501 0.000000000 0.291137394 -0.472448042 0.17791553
  > [10,] -0.420474161 0.000000000 0.198796571 -0.527196778 -0.00565330
  331,340c331,340
  < [1,] 0.00000000 0.091549474 -0.07986288 -0.0729663754 0.0000000000
  < [2,] 0.00000000 0.108326841 -0.06562431 -0.1739278841 0.0000000000
  < [3,] 0.23871009 0.095668190 -0.24491762 -1.0683649441 -1.0683649441
  < [4,] -0.57866228 -0.064047913 0.42178186 0.4510189056 0.4510189056
  < [5,] -0.49409092 0.274636059 0.30882623 0.0005630483 0.0005630483
  < [6,] 0.03712907 0.066346421 -0.06262535 -0.0229342477 -0.0229342477
  < [7,] -0.05339749 -0.026583966 -0.04473573 0.2517570944 0.2517570944
  < [8,] 0.00000000 0.129945530 -0.01013423 0.0039012426 0.0000000000
  < [9,] 0.00000000 -0.936755685 1.52013584 -0.2572861222 0.0000000000
  < [10,] 0.00000000 0.007733346 -0.02050838 0.0698423195 0.0000000000
  ---
  > [1,] 0.00000000 0.091549474 -0.079862881 -7.296638e-02 0.00000000
  > [2,] 0.00000000 -0.173058313 0.104838581 -7.277977e-01 0.00000000
  > [3,] -1.40881560 -0.564613074 1.445451078 -9.941630e-01 -0.99416298
  > [4,] 1.25977208 0.139434996 -0.918236822 8.198408e-01 0.81984076
  > [5,] 1.78318521 -0.991167690 -1.114560777 1.725899e-01 0.17258986
  > [6,] 0.03712907 0.066346421 -0.062625352 -2.293425e-02 -0.02293425
  > [7,] -0.05339749 -0.026583966 -0.044735726 2.517571e-01 0.25175709
  > [8,] 0.00000000 0.129945530 -0.010134230 3.901242e-03 0.00000000
  > [9,] 0.00000000 0.124782104 -0.202492231 -2.095374e-01 0.00000000
  > [10,] 0.00000000 0.002672832 -0.007088193 8.132162e-06 0.00000000
  342,351c342,351
  < [1,] -0.0893168115 0.0779152252 0.1057567 0.0000000 0.12945486 -0.11292952
  < [2,] -0.0625816581 0.0379119158 -1.2529534 0.0000000 -0.45082995 0.27311240
  < [3,] -0.4281701687 1.0961471850 1.4695195 1.4695195 0.58894148 -1.50773358
  < [4,] 0.0499199979 -0.3287437247 -0.6206953 -0.6206953 -0.06870024 0.45241933
  < [5,] -0.0003129652 -0.0003519274 1.5258796 1.5258796 -0.84814664 -0.95373466
  < [6,] -0.0409815078 0.0386830414 0.2562315 0.2562315 0.45786351 -0.43218403
  < [7,] 0.1253373901 0.2109188324 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  < [8,] -0.0076722502 0.0005983456 -0.1784976 0.0000000 0.35103649 -0.02737674
  < [9,] -0.1804491401 0.2928268392 0.4806826 0.0000000 0.33712956 -0.54708259
  < [10,] -0.0330208484 0.0875693423 -0.1190214 0.0000000 0.05627230 -0.14923081
  ---
  > [1,] -8.931681e-02 7.791523e-02 0.1057567 0.0000000 0.12945486 -0.11292952
  > [2,] -2.618717e-01 1.586417e-01 -0.3569686 0.0000000 -0.12844224 0.07781020
  > [3,] -3.984321e-01 1.020016e+00 -0.3336214 -0.3336214 -0.13370595 0.34229709
  > [4,] 9.074220e-02 -5.975747e-01 -0.6192277 -0.6192277 -0.06853781 0.45134966
  > [5,] -9.593255e-02 -1.078754e-01 -0.2113545 -0.2113545 0.11747951 0.13210484
  > [6,] -4.098151e-02 3.868304e-02 0.2562315 0.2562315 0.45786351 -0.43218403
  > [7,] 1.253374e-01 2.109188e-01 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  > [8,] -7.672250e-03 5.983456e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
  > [9,] -1.469603e-01 2.384823e-01 0.2509849 0.0000000 0.17602971 -0.28565513
  > [10,] -3.844480e-06 1.019629e-05 2.1488059 0.0000000 -1.01593697 2.69420490
  353,357c353,357
  < [1,] -0.374754461 0.00000000 -0.458730115 0.400171698 0.1253096387
  < [2,] 0.341544520 0.00000000 0.122892441 -0.074448138 0.7025038951
  < [3,] 0.924470437 0.92447044 0.370501358 -0.948510781 0.0320304854
  < [4,] -0.378155709 -0.37815571 -0.041855301 0.275634379 -0.0442590069
  < [5,] 0.661509406 0.66150941 -0.367694140 -0.413469355 0.0001027836
  ---
  > [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096387
  > [2,] -1.317896170 0.00000000 -0.474197265 0.287268305 0.2373435311
  > [3,] -0.235116392 -0.23511639 -0.094227938 0.241230464 -0.4565639489
  > [4,] -0.702249319 -0.70224932 -0.077726861 0.511863370 0.0932493380
  > [5,] -1.471345146 -1.47134514 0.817834156 0.919648493 0.0140945029
  359c359
  < [7,] 0.258283228 0.25828323 0.128586428 0.216386343 0.0380969802
  ---
  > [7,] 0.258283228 0.25828323 0.128586428 0.216386342 0.0380969803
  361,362c361,362
  < [9,] -0.273051212 0.00000000 -0.191506079 0.310769671 1.4236959451
  < [10,] 0.006044605 0.00000000 -0.002857837 0.007578816 0.0089228475
  ---
  > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
  > [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217581
  364,373c364,373
  < [1,] -0.0297429905 0.168661245 -0.317886056 -0.0208711777 0.0003426259
  < [2,] -0.2310526006 -1.467309031 0.460141663 -0.1173460729 -0.4644176794
  < [3,] -0.0245891156 0.077917437 0.019108678 -0.3597734604 0.3783282811
  < [4,] 0.1844707815 -0.063565664 -0.125120522 -0.3829743065 0.3455217767
  < [5,] 0.0000825997 0.024379671 0.004037647 -0.0009016805 -0.7868284841
  < [6,] -0.0025989907 0.138285183 -0.004564789 -0.0038689898 0.0037047267
  < [7,] -0.0168298432 0.049281613 -0.048184397 -0.0366696570 0.0034465556
  < [8,] 0.0028606900 -0.004381243 0.001581939 -0.0012885915 0.0079515814
  < [9,] 0.3163755178 -0.176222296 0.168016431 0.1964305185 -0.7279347800
  < [10,] -0.0008862533 0.036983148 -0.001222372 -0.0055697473 0.0007581633
  ---
  > [1,] -2.974299e-02 0.1686612452 -0.317886056 -0.0208711775 0.0003426259
  > [2,] 2.127180e-01 0.1696969316 0.246140337 0.2225285902 0.1630177779
  > [3,] -3.776616e-01 -0.0677244549 -0.159090152 1.0955898788 0.4824580824
  > [4,] 5.409158e-02 -0.0027152378 -0.032249331 0.8408145913 -0.7549200984
  > [5,] 3.817985e-03 -0.0000798539 -0.007061574 0.2433485378 -0.3932870731
  > [6,] -2.598991e-03 0.1382851830 -0.004564789 -0.0038689896 0.0037047264
  > [7,] -1.682984e-02 0.0492816124 -0.048184397 -0.0366696570 0.0034465556
  > [8,] 2.860690e-03 -0.0043812432 0.001581939 -0.0012885915 0.0079515814
  > [9,] -4.091164e-02 0.2153004817 -0.249286519 -0.0828866578 0.0243838705
  > [10,] -2.046363e-06 -0.6627932096 -0.001926267 -0.0000053344 -0.0164987584
  375,384c375,384
  < [1,] -5.483544e-03 -0.0018479951 1.008905e-02 -0.0323882421
  < [2,] 1.949213e-01 0.4909379792 -1.428713e-01 -0.3282252683
  < [3,] 3.041832e-01 -0.7794960464 -1.344542e+00 1.6225297244
  < [4,] 3.272276e-01 -0.0321741214 -2.813774e-01 0.3108198792
  < [5,] -2.008824e-01 0.0029557361 3.083844e-05 1.0495514799
  < [6,] 9.094553e-05 0.0007130634 -1.813084e-04 -0.0033234336
  < [7,] -3.419339e-03 -0.0016835884 2.825669e-02 -0.0185170487
  < [8,] 3.547431e-04 -0.0010920835 1.220151e-03 -0.0020131930
  < [9,] 5.083680e-01 -0.0136150642 3.409483e-02 -0.0930339099
  < [10,] 3.229950e-04 0.0001981355 -2.949346e-04 0.0001573203
  ---
  > [1,] -0.0054835436 -1.847995e-03 1.008905e-02 -0.032388242
  > [2,] 0.8015301858 6.566873e-01 7.021445e-01 0.624207469
  > [3,] 0.4457558145 7.163384e-01 1.268288e-01 0.151695541
  > [4,] -0.7071316235 -1.072652e-01 -7.800969e-01 0.559949039
  > [5,] -2.3316036613 -1.072568e-03 -3.269652e-01 0.343980942
  > [6,] 0.0000909457 7.130633e-04 -1.813082e-04 -0.003323434
  > [7,] -0.0034193386 -1.683588e-03 2.825669e-02 -0.018517049
  > [8,] 0.0003547430 -1.092084e-03 1.220151e-03 -0.002013193
  > [9,] -0.0416447714 -2.133556e-03 6.008642e-02 -0.113067650
  > [10,] 0.0002513065 5.699841e-05 -3.418599e-06 0.008852989
  387,396c387,396
  < [1,] -4.303616e-07 NaN -4.296725e-07 -4.304642e-07 -1.157869e-06
  < [2,] -3.612933e-07 NaN -3.612011e-07 -3.620133e-07 -8.540643e-07
  < [3,] -1.543241e-06 -1.543241e-06 -1.504060e-06 -1.547362e-06 -8.129819e-07
  < [4,] -8.041509e-07 -8.041509e-07 -8.025446e-07 -8.028702e-07 5.648366e-07
  < [5,] -1.706777e-06 -1.706777e-06 -1.679406e-06 -1.775700e-06 5.527624e-07
  < [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,] 5.580558e-07 NaN 5.584608e-07 5.577297e-07 3.793744e-07
  < [10,] 1.014671e-06 NaN 1.017982e-06 1.013432e-06 1.377870e-06
  ---
  > [1,] -4.300940e-07 NaN -4.296235e-07 -4.296953e-07 -1.154900e-06
  > [2,] 9.414945e-07 NaN 9.379368e-07 9.459054e-07 6.583323e-07
  > [3,] -6.586844e-07 -6.586844e-07 -6.599883e-07 -6.585779e-07 3.653419e-07
  > [4,] -1.491865e-06 -1.491865e-06 -1.560355e-06 -1.483237e-06 -3.532206e-07
  > [5,] -1.766222e-06 -1.766222e-06 -1.835567e-06 -1.980005e-06 -2.692151e-07
  > [6,] -7.812612e-07 -7.812612e-07 -7.822173e-07 -7.836694e-07 -1.230456e-06
  > [7,] 8.269576e-07 8.269576e-07 8.255113e-07 8.268644e-07 1.194481e-06
  > [8,] -7.683174e-07 NaN -7.665630e-07 -7.760043e-07 1.011078e-06
  > [9,] -6.611487e-07 NaN -6.602954e-07 -6.612584e-07 -9.322813e-07
  > [10,] 6.601018e-07 NaN 6.593872e-07 6.583717e-07 1.728187e-06
  398,402c398,402
  < [1,] NaN -1.152713e-06 -1.155963e-06 1.062045e-06 NaN
  < [2,] NaN -8.531627e-07 -8.632762e-07 1.337927e-06 NaN
  < [3,] -8.129819e-07 -8.158368e-07 -8.149751e-07 6.272488e-07 6.272488e-07
  < [4,] 5.648366e-07 5.636579e-07 5.657846e-07 -7.611232e-07 -7.611232e-07
  < [5,] 5.527624e-07 5.507724e-07 5.522840e-07 -1.577446e-06 -1.577446e-06
  ---
  > [1,] NaN -1.152713e-06 -1.155963e-06 1.065088e-06 NaN
  > [2,] NaN 6.581858e-07 6.577384e-07 6.754717e-07 NaN
  > [3,] 3.653419e-07 3.647698e-07 3.645031e-07 5.530104e-07 5.530104e-07
  > [4,] -3.532206e-07 -3.533580e-07 -3.532893e-07 -6.034286e-07 -6.034286e-07
  > [5,] -2.692151e-07 -2.692128e-07 -2.695402e-07 -8.980083e-07 -8.980083e-07
  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 3.789749e-07 3.789619e-07 9.044512e-07 NaN
  < [10,] NaN 1.422844e-06 1.393731e-06 -1.005033e-06 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,] 1.330421e-06 1.334324e-06 4.476501e-07 NaN 4.475589e-07
  < [3,] 6.266514e-07 6.272570e-07 -4.478608e-07 -4.481630e-07 -4.475258e-07
  < [4,] -7.712112e-07 -7.616781e-07 5.952715e-07 5.945561e-07 5.917917e-07
  < [5,] -9.939613e-07 -1.846722e-06 -2.657179e-07 -2.660089e-07 -2.657268e-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,] 9.050615e-07 9.038306e-07 -6.577969e-07 NaN -6.584342e-07
  < [10,] -1.000674e-06 -1.004489e-06 9.071409e-07 NaN 9.091049e-07
  ---
  > [9,] 8.521543e-07 8.512955e-07 -8.024168e-07 NaN -8.025505e-07
  > [10,] 3.274424e-05 -6.075698e-05 -2.273347e-07 NaN -2.272269e-07
  420,429c420,429
  < [1,] -1.027364e-06 5.936919e-07 NaN 5.932147e-07 5.939315e-07
  < [2,] 4.475307e-07 -6.852255e-07 NaN -6.830841e-07 -6.883072e-07
  < [3,] -4.478989e-07 -4.481866e-07 -4.477062e-07 -4.472889e-07 -4.484569e-07
  < [4,] 5.947340e-07 6.640980e-07 6.640980e-07 6.556105e-07 6.646466e-07
  < [5,] -2.660144e-07 -4.732856e-07 -4.732856e-07 -4.746367e-07 -4.726216e-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,] -6.583121e-07 7.513946e-07 NaN 7.500472e-07 7.499042e-07
  < [10,] 9.090771e-07 -1.584169e-06 NaN -1.471662e-06 -1.489036e-06
  ---
  > [1,] -1.029330e-06 5.930994e-07 NaN 5.936987e-07 5.939315e-07
  > [2,] 9.732962e-07 3.464034e-07 NaN 3.467738e-07 3.468608e-07
  > [3,] 1.001217e-06 8.272969e-07 8.272969e-07 8.234431e-07 8.279187e-07
  > [4,] 6.411362e-07 5.153906e-07 5.153906e-07 5.220987e-07 5.137120e-07
  > [5,] 7.481537e-07 3.117855e-07 3.123892e-07 3.116675e-07 3.114816e-07
  > [6,] -7.347998e-07 1.284237e-06 1.284237e-06 1.247886e-06 1.259543e-06
  > [7,] 1.037426e-06 -6.937733e-07 -6.937733e-07 -6.913716e-07 -6.937723e-07
  > [8,] 7.904802e-07 -1.349087e-06 NaN -1.371885e-06 -1.394012e-06
  > [9,] -7.997367e-07 5.101749e-07 NaN 5.109671e-07 5.104353e-07
  > [10,] -2.270320e-07 -1.432755e-06 NaN -1.649215e-06 -1.406831e-06
  431,440c431,440
  < [1,] -6.060129e-07 -9.107841e-07 -4.660454e-07 1.508768e-07 -1.021326e-06
  < [2,] -7.023208e-07 7.957190e-07 1.180962e-06 -6.553125e-07 -9.726012e-07
  < [3,] 4.020728e-07 -8.127179e-07 -2.507773e-06 4.648037e-07 1.308419e-07
  < [4,] -2.257621e-06 4.959180e-07 -1.809453e-06 -5.323937e-07 -9.102700e-08
  < [5,] 1.296187e-05 0.000000e+00 -3.770620e-06 8.798971e-07 2.462564e-06
  < [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,] -2.411196e-07 1.403678e-09 -6.652935e-07 2.378817e-07 -3.391193e-08
  < [10,] 1.222473e-06 -4.165278e-06 8.975890e-07 -3.224299e-06 -1.460099e-06
  ---
  > [1,] -6.060129e-07 -9.107841e-07 -4.660454e-07 1.508768e-07 -1.010687e-06
  > [2,] 3.835718e-07 2.505228e-07 7.877034e-07 -6.044108e-07 4.530126e-07
  > [3,] 4.484041e-07 3.645265e-08 -2.386855e-06 -3.991747e-07 -9.241810e-07
  > [4,] -2.371668e-06 -6.567961e-07 -6.542178e-06 2.754099e-08 -7.214740e-07
  > [5,] -5.324847e-06 5.815754e-07 -1.112254e-05 2.263973e-06 -9.672024e-07
  > [6,] 5.700320e-07 -1.452394e-06 4.969643e-07 -1.532252e-06 -1.922593e-06
  > [7,] 8.043198e-07 -2.242896e-06 7.963697e-07 -7.695738e-07 -7.765881e-07
  > [8,] -7.980041e-06 1.630004e-06 -4.054458e-06 2.000163e-06 -2.649355e-06
  > [9,] 3.746011e-07 -1.535959e-06 3.382743e-07 -1.095586e-07 -8.009894e-07
  > [10,] -8.138671e-07 0.000000e+00 1.244910e-06 -1.383264e-06 0.000000e+00
  442,451c442,451
  < [1,] 2.333042e-05 -3.644361e-06 8.771266e-06 1.826703e-06 -8.638203e-07
  < [2,] 4.838514e-07 4.305987e-07 -1.099961e-06 -6.372047e-07 3.301323e-07
  < [3,] -6.127339e-07 -2.306705e-07 6.705525e-07 1.819899e-07 -4.072682e-07
  < [4,] -1.735116e-08 1.180700e-07 -6.459656e-06 -3.140755e-07 1.400192e-07
  < [5,] 6.659968e-07 -1.436950e-07 -1.247047e-05 -1.440051e-05 -6.126819e-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,] 5.264881e-07 -5.590775e-07 -2.576782e-06 1.576040e-06 -6.444107e-07
  < [10,] 5.015429e-06 1.976434e-06 2.297375e-05 -3.387872e-06 1.940699e-05
  ---
  > [1,] 2.333042e-05 -3.603868e-06 8.891421e-06 1.804694e-06 -8.569646e-07
  > [2,] 6.592507e-07 -4.421333e-07 5.552068e-07 -8.241156e-07 -6.153998e-07
  > [3,] -6.903541e-07 -6.973828e-07 5.331512e-08 7.913359e-07 7.435859e-07
  > [4,] 5.294339e-07 6.236188e-07 -3.229282e-06 1.098700e-07 -1.054808e-07
  > [5,] 9.914140e-07 1.100127e-06 -3.312344e-06 9.914973e-07 -7.759081e-07
  > [6,] 3.296452e-06 1.220754e-06 1.323430e-06 5.204891e-06 -1.920839e-06
  > [7,] 2.415940e-06 -2.353998e-06 1.945344e-06 1.306413e-06 -4.976415e-07
  > [8,] 1.675475e-06 1.173620e-06 4.066439e-07 -1.478598e-06 -1.158095e-06
  > [9,] 2.358508e-06 -1.476929e-06 -1.769233e-06 8.573377e-07 -3.986556e-07
  > [10,] 3.714480e-06 5.301365e-06 -1.558251e-05 -1.299039e-04 -2.859270e-06
  453c453
  < [1] -1.440051e-05 2.333042e-05
  ---
  > [1] -1.299039e-04 3.274424e-05
  456,465c456,465
  < [1,] -3.570477e-07 0.000000e+00 -4.363557e-07 3.813549e-07 -8.659740e-08
  < [2,] -5.444534e-07 0.000000e+00 -1.958519e-07 1.189137e-07 -2.571277e-07
  < [3,] -4.352074e-08 -4.352074e-08 -1.699903e-08 4.477170e-08 -1.940670e-07
  < [4,] -2.242651e-07 -2.242651e-07 -2.477268e-08 1.632045e-07 -3.268497e-07
  < [5,] -1.376677e-08 -1.376677e-08 7.529419e-09 8.952247e-09 -2.731149e-07
  < [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,] -4.387601e-07 0.000000e+00 -3.079504e-07 4.990774e-07 -5.067058e-07
  < [10,] -8.490431e-08 0.000000e+00 4.027304e-08 -1.063243e-07 -2.253753e-08
  ---
  > [1,] -3.568257e-07 0.000000e+00 -4.363060e-07 3.806737e-07 -8.637535e-08
  > [2,] -1.985079e-07 0.000000e+00 -7.115598e-08 4.347246e-08 -3.166356e-07
  > [3,] -3.566036e-07 -3.566036e-07 -1.431995e-07 3.658178e-07 -5.146994e-07
  > [4,] -5.062617e-08 -5.062617e-08 -5.860693e-09 3.668757e-08 -4.449774e-07
  > [5,] -6.661338e-09 -6.661338e-09 3.848019e-09 4.667559e-09 -4.800604e-07
  > [6,] -1.794120e-07 -1.794120e-07 -3.209860e-07 3.035459e-07 -4.568568e-08
  > [7,] -1.534328e-07 -1.534328e-07 -7.625301e-08 -1.285295e-07 -6.378231e-08
  > [8,] -1.499634e-07 0.000000e+00 2.942471e-07 -2.323047e-08 -6.680767e-08
  > [9,] -2.744471e-07 0.000000e+00 -1.922367e-07 3.124102e-07 -1.658673e-07
  > [10,] -2.775558e-07 0.000000e+00 1.310839e-07 -3.470914e-07 -9.769963e-09
  467,471c467,471
  < [1,] 0.000000e+00 -1.055302e-07 9.231850e-08 -7.749357e-08 0.000000e+00
  < [2,] 0.000000e+00 -9.242042e-08 5.665190e-08 -2.327027e-07 0.000000e+00
  < [3,] -1.940670e-07 -7.804963e-08 1.996018e-07 -6.701306e-07 -6.701306e-07
  < [4,] -3.268497e-07 -3.610111e-08 2.386377e-07 -3.432810e-07 -3.432810e-07
  < [5,] -2.731149e-07 1.512620e-07 1.705598e-07 -8.881784e-10 -8.881784e-10
  ---
  > [1,] 0.000000e+00 -1.055302e-07 9.231850e-08 -7.771561e-08 0.000000e+00
  > [2,] 0.000000e+00 -1.139045e-07 6.895637e-08 -4.916068e-07 0.000000e+00
  > [3,] -5.146994e-07 -2.059538e-07 5.268713e-07 -5.497824e-07 -5.497824e-07
  > [4,] -4.449774e-07 -4.927047e-08 3.244033e-07 -4.947154e-07 -4.947154e-07
  > [5,] -4.800604e-07 2.668350e-07 3.004189e-07 -1.549871e-07 -1.549871e-07
  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 -3.550069e-07 5.760735e-07 -2.327027e-07 0.000000e+00
  < [10,] 0.000000e+00 1.100335e-08 -2.858317e-08 -7.019385e-08 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,] -8.325998e-08 5.058677e-08 -5.608847e-07 0.000000e+00 -2.017730e-07
  < [3,] -2.683134e-07 6.875660e-07 -6.581402e-07 -6.585843e-07 -2.635665e-07
  < [4,] -3.849886e-08 2.503969e-07 -3.694822e-07 -3.690381e-07 -4.065623e-08
  < [5,] 3.110753e-10 6.499121e-10 -4.054534e-07 -4.058975e-07 2.253753e-07
  < [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,] -1.633176e-07 2.646659e-07 -3.161915e-07 0.000000e+00 -2.219776e-07
  < [10,] 3.304312e-08 -8.796241e-08 -1.079692e-07 0.000000e+00 5.115742e-08
  ---
  > [9,] -1.252329e-07 2.030189e-07 -2.013945e-07 0.000000e+00 -1.412727e-07
  > [10,] -1.258846e-10 -6.194957e-10 -4.884981e-07 0.000000e+00 2.308482e-07
  489,498c489,498
  < [1,] 1.160197e-07 -2.224887e-07 0.000000e+00 -2.721254e-07 2.376746e-07
  < [2,] 1.222262e-07 -2.340350e-07 0.000000e+00 -8.394587e-08 5.124319e-08
  < [3,] 6.753123e-07 -4.143352e-07 -4.138911e-07 -1.657211e-07 4.253662e-07
  < [4,] 2.690692e-07 -2.511324e-07 -2.511324e-07 -2.744078e-08 1.831995e-07
  < [5,] 2.537072e-07 -3.130829e-07 -3.130829e-07 1.745211e-07 1.954145e-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,] 3.601511e-07 -2.051692e-07 0.000000e+00 -1.436386e-07 2.330475e-07
  < [10,] -1.356623e-07 -9.575674e-09 0.000000e+00 4.205770e-09 -1.128513e-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
  > [3,] 3.427136e-07 -1.945111e-07 -1.945111e-07 -7.759135e-08 1.997192e-07
  > [4,] 2.893766e-07 -3.619327e-07 -3.619327e-07 -4.058109e-08 2.629504e-07
  > [5,] 9.883473e-08 -4.587442e-07 -4.596323e-07 2.548923e-07 2.864536e-07
  > [6,] 3.175688e-07 -2.364775e-08 -2.364775e-08 -4.106037e-08 3.911954e-08
  > [7,] -7.436848e-08 -1.791900e-07 -1.791900e-07 -8.890101e-08 -1.501228e-07
  > [8,] -2.164077e-08 -1.315614e-08 0.000000e+00 2.631032e-08 -2.084992e-09
  > [9,] 2.284489e-07 -2.862155e-07 0.000000e+00 -2.010506e-07 3.259187e-07
  > [10,] -6.116706e-07 -5.329071e-09 0.000000e+00 2.900190e-09 -6.560772e-09
  500,509c500,509
  < [1,] -7.593925e-08 2.708944e-08 -7.860379e-08 -4.796163e-08 2.131628e-08
  < [2,] -4.933831e-07 -1.838529e-07 -1.732836e-06 -3.015366e-07 1.141309e-07
  < [3,] 1.287859e-08 1.998401e-08 -1.953993e-07 8.881784e-09 -4.707346e-08
  < [4,] 9.992007e-08 9.148238e-08 1.150191e-07 6.661338e-08 3.486100e-08
  < [5,] 1.332268e-09 0.000000e+00 -9.192647e-08 3.552714e-09 -2.220446e-09
  < [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,] -3.432810e-07 4.440892e-10 1.172396e-07 3.996803e-08 -6.661338e-09
  < [10,] 1.090794e-08 3.691492e-09 3.319567e-08 3.941292e-09 8.132384e-09
  ---
  > [1,] -7.593925e-08 2.708944e-08 -7.860379e-08 -4.796163e-08 2.109424e-08
  > [2,] 9.103829e-08 5.329071e-08 1.336709e-07 -1.487699e-07 1.008083e-07
  > [3,] -2.047251e-07 -1.376677e-08 1.616485e-07 6.350476e-08 -1.012523e-06
  > [4,] -2.211564e-07 -3.552714e-08 1.776357e-08 -8.881784e-10 -6.066259e-07
  > [5,] -7.505108e-08 2.220446e-09 8.881784e-10 -1.598721e-08 -2.353673e-07
  > [6,] 1.687539e-08 3.774758e-09 6.872281e-08 6.994405e-09 7.438494e-09
  > [7,] 3.064216e-08 3.774758e-08 3.924638e-08 3.708145e-08 2.847722e-08
  > [8,] 7.022161e-09 4.662937e-09 1.776357e-08 3.164136e-09 3.413936e-09
  > [9,] 6.528111e-08 6.283862e-08 7.283063e-08 2.731149e-08 6.639134e-08
  > [10,] -7.993606e-09 0.000000e+00 -8.251178e-07 2.664535e-09 0.000000e+00
  511,520c511,520
  < [1,] 7.993606e-09 1.998401e-08 -1.620926e-08 1.842970e-08 2.797762e-08
  < [2,] -2.247091e-07 8.393286e-08 -5.400125e-07 9.103829e-08 -1.083578e-07
  < [3,] -2.318146e-07 -7.016610e-08 -5.226930e-07 -2.446932e-07 -6.608047e-07
  < [4,] -5.995204e-09 3.863576e-08 2.078338e-07 8.837375e-08 4.352074e-08
  < [5,] -5.240253e-07 2.886580e-08 -3.685940e-08 -4.440892e-10 -6.430412e-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,] -3.832490e-07 -2.842171e-07 3.508305e-08 5.373479e-08 5.995204e-08
  < [10,] 3.802514e-09 6.383782e-10 4.551914e-09 9.992007e-10 3.053113e-09
  ---
  > [1,] 7.993606e-09 1.976197e-08 -1.643130e-08 1.820766e-08 2.775558e-08
  > [2,] 1.074696e-07 -3.543832e-07 3.645972e-07 -5.786482e-07 -3.841372e-07
  > [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] -1.732836e-06 6.875660e-07
  ---
  > [1] -2.565059e-06 5.631261e-07
  525,534c525,534
  < [1,] 0 NaN 6.891585e-10 -1.025907e-10 0 NaN 5.156227e-09
  < [2,] 0 NaN 9.219137e-11 -7.200955e-10 0 NaN 9.015311e-10
  < [3,] 0 0 3.918189e-08 -4.120557e-09 0 0 -2.854856e-09
  < [4,] 0 0 1.606342e-09 1.280711e-09 0 0 -1.178777e-09
  < [5,] 0 0 2.737123e-08 -6.892320e-08 0 0 -1.989960e-09
  < [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 4.050471e-10 -3.260090e-10 0 NaN -3.994758e-10
  < [10,] 0 NaN 3.311700e-09 -1.238809e-09 0 NaN 4.497357e-08
  ---
  > [1,] 0 NaN 4.705147e-10 3.986864e-10 0 NaN 2.187332e-09
  > [2,] 0 NaN -3.557633e-09 4.410967e-09 0 NaN -1.464314e-10
  > [3,] 0 0 -1.303964e-09 1.064857e-10 0 0 -5.720951e-10
  > [4,] 0 0 -6.849076e-08 8.627653e-09 0 0 -1.374334e-10
  > [5,] 0 0 -6.934523e-08 -2.137830e-07 0 0 2.336353e-12
  > [6,] 0 0 -9.560260e-10 -2.408183e-09 0 0 6.843762e-09
  > [7,] 0 0 -1.446281e-09 -9.317958e-11 0 0 -8.229785e-10
  > [8,] 0 NaN 1.754401e-09 -7.686899e-09 0 NaN 6.512050e-09
  > [9,] 0 NaN 8.533383e-10 -1.096585e-10 0 NaN 3.277723e-10
  > [10,] 0 NaN -7.146121e-10 -1.730113e-09 0 NaN 6.185886e-08
  536,545c536,545
  < [1,] 1.906379e-09 0 NaN 4.848442e-09 2.781219e-09 0 NaN
  < [2,] -9.211928e-09 0 NaN -7.505177e-09 -3.602787e-09 0 NaN
  < [3,] -1.993174e-09 0 0 -5.973618e-10 8.253176e-12 0 -3.022003e-10
  < [4,] 9.479815e-10 0 0 -1.008801e-08 -5.548990e-10 0 -7.154706e-10
  < [5,] -4.783470e-10 0 0 5.834859e-07 -2.692763e-07 0 -2.910382e-10
  < [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,] -4.124867e-10 0 NaN 6.103325e-10 -6.205836e-10 0 NaN
  < [10,] 1.586090e-08 0 NaN 4.358735e-09 5.445957e-10 0 NaN
  ---
  > [1,] -1.062516e-09 0 NaN -3.166734e-09 -3.111712e-09 0 NaN
  > [2,] -5.938087e-10 0 NaN 8.398329e-10 2.695147e-09 0 NaN
  > [3,] -8.388614e-10 0 0 -9.812940e-10 -9.344024e-10 0 0.000000e+00
  > [4,] -6.876144e-11 0 0 -7.853802e-10 1.943112e-10 0 -7.171662e-10
  > [5,] -3.250540e-10 0 0 -2.624787e-09 -3.719958e-09 0 0.000000e+00
  > [6,] 1.107348e-08 0 0 1.159195e-08 1.356294e-08 0 0.000000e+00
  > [7,] -5.293193e-09 0 0 2.316099e-09 6.414085e-10 0 0.000000e+00
  > [8,] -1.422185e-08 0 NaN 1.910423e-08 1.561677e-07 0 NaN
  > [9,] -4.119597e-10 0 NaN 1.223654e-09 3.648402e-10 0 NaN
  > [10,] -2.628080e-08 0 NaN 8.735801e-05 -6.148317e-06 0 NaN
  547,556c547,556
  < [1,] -1.654805e-09 -6.693693e-10 0 NaN -4.772642e-10
  < [2,] -9.117751e-11 -1.193929e-10 0 NaN 2.141392e-09
  < [3,] 3.350193e-10 -3.813860e-11 0 4.803715e-10 8.977155e-10
  < [4,] -3.479844e-09 -5.375168e-10 0 0.000000e+00 -8.487462e-09
  < [5,] -8.953949e-12 -2.965538e-10 0 0.000000e+00 -1.351053e-09
  < [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,] -6.372491e-10 -5.151649e-10 0 NaN -1.347439e-09
  < [10,] 1.963919e-09 1.936137e-09 0 NaN 1.125067e-07
  ---
  > [1,] -1.654805e-09 -2.635592e-09 0 NaN 5.992846e-10
  > [2,] 3.035173e-09 -2.044246e-09 0 NaN 3.704022e-10
  > [3,] 2.035883e-10 2.167428e-10 0 0.000000e+00 -3.853798e-09
  > [4,] -6.382649e-09 -1.035605e-11 0 0.000000e+00 6.708096e-09
  > [5,] 1.304231e-09 1.413134e-10 0 6.036507e-10 -1.180929e-10
  > [6,] 1.497406e-09 1.574773e-09 0 0.000000e+00 -3.635135e-08
  > [7,] 1.289397e-09 3.307185e-09 0 0.000000e+00 2.401622e-09
  > [8,] 1.998476e-09 7.871433e-09 0 NaN -2.279775e-08
  > [9,] -1.337348e-10 2.680031e-09 0 NaN 7.922116e-10
  > [10,] 1.078315e-10 3.027292e-10 0 NaN -2.164604e-07
  558,564c558,564
  < [1,] 2.395493e-10 0 0 0 0 0 0 0 0 0 0
  < [2,] -3.081664e-09 0 0 0 0 0 0 0 0 0 0
  < [3,] -2.703219e-10 0 0 0 0 0 0 0 0 0 0
  < [4,] 5.486256e-10 0 0 0 0 0 0 0 0 0 0
  < [5,] 6.640546e-10 0 0 0 0 0 0 0 0 0 0
  < [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
  ---
  > [1,] 8.320562e-10 0 0 0 0 0 0 0 0 0 0
  > [2,] 4.574461e-10 0 0 0 0 0 0 0 0 0 0
  > [3,] 6.217880e-10 0 0 0 0 0 0 0 0 0 0
  > [4,] -1.678609e-09 0 0 0 0 0 0 0 0 0 0
  > [5,] -3.039007e-10 0 0 0 0 0 0 0 0 0 0
  > [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
  566,567c566,567
  < [9,] -1.490403e-09 0 0 0 0 0 0 0 0 0 0
  < [10,] 9.513271e-08 0 0 0 0 0 0 0 0 0 0
  ---
  > [9,] 2.603782e-10 0 0 0 0 0 0 0 0 0 0
  > [10,] 2.592378e-08 0 0 0 0 0 0 0 0 0 0
  569c569
  < [1] -2.692763e-07 5.834859e-07
  ---
  > [1] -6.148317e-06 8.735801e-05
  572,581c572,581
  < [1,] 0 0 6.998779e-10 9.088674e-11 0 0 4.720499e-10
  < [2,] 0 0 4.998835e-11 2.365361e-10 0 0 9.766001e-11
  < [3,] 0 0 4.428377e-10 1.192251e-10 0 0 -2.731189e-10
  < [4,] 0 0 4.958404e-11 -2.603381e-10 0 0 7.549818e-11
  < [5,] 0 0 -1.227157e-10 3.474785e-10 0 0 -5.465147e-10
  < [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 -2.233539e-10 -2.917250e-10 0 0 3.742112e-10
  < [10,] 0 0 1.310162e-10 1.299697e-10 0 0 3.477962e-10
  ---
  > [1,] 0 0 4.778333e-10 -3.532025e-10 0 0 2.002491e-10
  > [2,] 0 0 2.698976e-10 2.027217e-10 0 0 2.534117e-11
  > [3,] 0 0 -2.829246e-10 -5.914924e-11 0 0 3.230124e-10
  > [4,] 0 0 -2.572512e-10 -2.134033e-10 0 0 -1.916303e-11
  > [5,] 0 0 1.453729e-10 5.039608e-10 0 0 -2.315703e-12
  > [6,] 0 0 -3.923092e-10 9.327835e-10 0 0 4.540591e-10
  > [7,] 0 0 1.335939e-10 1.448403e-11 0 0 2.187803e-11
  > [8,] 0 0 -6.734311e-10 -2.301150e-10 0 0 8.462118e-10
  > [9,] 0 0 2.484387e-10 5.180795e-11 0 0 4.090012e-11
  > [10,] 0 0 -1.420624e-10 9.121099e-10 0 0 1.653383e-10
  583,592c583,592
  < [1,] -1.522489e-10 0 0 -4.330473e-10 2.166993e-10 0 0.000000e+00
  < [2,] 6.045264e-10 0 0 4.696864e-10 -1.365885e-10 0 0.000000e+00
  < [3,] 4.881635e-10 0 0 2.557725e-10 9.046763e-12 0 -4.440892e-10
  < [4,] 3.998414e-10 0 0 -5.035935e-10 1.824196e-10 0 4.440892e-10
  < [5,] -1.477261e-10 0 0 -1.826108e-10 9.476572e-11 0 -4.440892e-10
  < [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,] -6.270358e-10 0 0 -1.101340e-10 -1.817235e-10 0 0.000000e+00
  < [10,] -3.252813e-10 0 0 -1.439291e-10 4.768988e-11 0 0.000000e+00
  ---
  > [1,] 8.485558e-11 0 0 2.828426e-10 -2.424498e-10 0 0.000000e+00
  > [2,] -6.225406e-11 0 0 -2.199285e-10 4.275626e-10 0 0.000000e+00
  > [3,] -1.212533e-09 0 0 3.909791e-10 -9.531052e-10 0 0.000000e+00
  > [4,] 6.313927e-11 0 0 -7.126713e-11 -1.161155e-10 0 4.440892e-10
  > [5,] 3.622924e-10 0 0 2.518026e-10 4.012921e-10 0 0.000000e+00
  > [6,] -6.934804e-10 0 0 -4.750554e-10 5.246557e-10 0 0.000000e+00
  > [7,] 2.367948e-10 0 0 2.902938e-10 1.352851e-10 0 0.000000e+00
  > [8,] 1.441275e-10 0 0 -1.465724e-10 9.344224e-11 0 0.000000e+00
  > [9,] 8.341863e-11 0 0 -1.798285e-10 8.700790e-11 0 0.000000e+00
  > [10,] 1.862833e-10 0 0 -3.358462e-10 -6.269002e-11 0 0.000000e+00
  594,603c594,603
  < [1,] -2.142226e-10 7.559156e-11 0 0.000000e+00 2.189355e-10
  < [2,] 4.110556e-11 -3.260769e-11 0 0.000000e+00 2.631608e-10
  < [3,] 1.973068e-10 5.750289e-11 0 4.440892e-10 3.326048e-10
  < [4,] 2.390661e-10 -2.431830e-10 0 0.000000e+00 3.552453e-10
  < [5,] 7.594259e-12 2.828336e-10 0 0.000000e+00 4.967743e-10
  < [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,] -2.148355e-10 2.818378e-10 0 0.000000e+00 2.580427e-10
  < [10,] 1.105142e-10 -2.889314e-10 0 0.000000e+00 -3.215259e-10
  ---
  > [1,] -2.142226e-10 2.976362e-10 0 0.000000e+00 -2.749099e-10
  > [2,] -3.898444e-10 -1.590632e-10 0 0.000000e+00 -1.756437e-10
  > [3,] -2.722095e-11 7.419043e-11 0 0.000000e+00 3.631355e-10
  > [4,] 4.374528e-10 -4.674205e-12 0 0.000000e+00 -5.213993e-10
  > [5,] 1.532205e-10 1.866818e-11 0 -8.881784e-10 -9.658041e-11
  > [6,] 6.856075e-10 -6.805916e-10 0 0.000000e+00 1.196103e-09
  > [7,] -5.492674e-11 -2.370775e-10 0 0.000000e+00 3.088161e-10
  > [8,] 7.015379e-10 -2.154942e-10 0 0.000000e+00 4.372204e-10
  > [9,] -2.354131e-11 -7.655646e-10 0 0.000000e+00 -3.117121e-10
  > [10,] -1.095499e-10 8.156147e-10 0 0.000000e+00 3.806516e-10
  605,611c605,611
  < [1,] 9.586082e-11 0 0 0 0 0 0 0 0 0 0
  < [2,] 2.294241e-10 0 0 0 0 0 0 0 0 0 0
  < [3,] 2.564032e-10 0 0 0 0 0 0 0 0 0 0
  < [4,] 1.512201e-10 0 0 0 0 0 0 0 0 0 0
  < [5,] -2.745663e-10 0 0 0 0 0 0 0 0 0 0
  < [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
  ---
  > [1,] 3.329653e-10 0 0 0 0 0 0 0 0 0 0
  > [2,] 1.314098e-10 0 0 0 0 0 0 0 0 0 0
  > [3,] 1.499942e-10 0 0 0 0 0 0 0 0 0 0
  > [4,] -8.592184e-10 0 0 0 0 0 0 0 0 0 0
  > [5,] -2.794818e-10 0 0 0 0 0 0 0 0 0 0
  > [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
  613,614c613,614
  < [9,] -4.631721e-10 0 0 0 0 0 0 0 0 0 0
  < [10,] 7.209933e-10 0 0 0 0 0 0 0 0 0 0
  ---
  > [9,] 1.662543e-10 0 0 0 0 0 0 0 0 0 0
  > [10,] 1.208958e-10 0 0 0 0 0 0 0 0 0 0
  616c616
  < [1] -1.128016e-09 9.803569e-10
  ---
  > [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
  2547,2556c2547,2556
  < 1 0.38665968 -0.086982861 0.1363019059 -0.36712086 -0.106556150 -0.49471006
  < 2 0.44839638 -0.208560366 0.4234321434 -0.56398762 -0.016991795 -0.52202033
  < 3 0.15659068 -0.063738635 0.3795936955 -0.54308917 -0.013727163 -0.03630656
  < 4 0.46121664 -0.140762172 0.5409440280 -0.58816469 0.086348107 -0.25705265
  < 5 0.08720881 -0.164543180 0.0428941532 -0.51473899 -0.148417670 -0.01082743
  < 6 0.30780492 -0.011892250 0.0074017350 -0.12137112 -0.021925728 -0.23789032
  < 7 0.07992447 -0.029707944 0.3315590576 -0.31694874 -0.068375725 -0.17674114
  < 8 0.08155087 -0.020508926 0.0003633985 -0.07978801 -0.012825935 -0.18498843
  < 9 0.48504410 -0.370739798 0.4291210458 -0.64219058 0.017271062 -0.55278864
  < 10 0.15129311 -0.004673156 0.0262322164 -0.05065797 -0.009032351 -0.08825721
  ---
  > 1 0.38665968 -0.086982861 1.363019e-01 -0.36712086 -0.106556150 -0.494710060
  > 2 0.25441122 -0.123346802 4.215393e-01 -0.12791370 -0.070388217 -0.236463141
  > 3 0.53174011 -0.176879617 4.216246e-01 -0.73033353 0.024004318 -0.412603092
  > 4 0.17898502 -0.140762172 4.970210e-01 -0.60399264 0.150538333 -0.036229164
  > 5 0.02351233 -0.103909568 2.577994e-01 -0.38625024 -0.038057072 -0.004816664
  > 6 0.30780492 -0.011892250 7.401735e-03 -0.12137112 -0.021925728 -0.237890323
  > 7 0.07992447 -0.029707944 3.315591e-01 -0.31694874 -0.068375725 -0.176741135
  > 8 0.08155087 -0.020508926 3.633985e-04 -0.07978801 -0.012825935 -0.184988433
  > 9 0.19320556 -0.095048431 3.587516e-01 -0.52664682 -0.095601525 -0.393952135
  > 10 0.52244762 -0.001558889 -8.811116e-05 -0.05065797 -0.004324226 -0.406170426
  2558,2567c2558,2567
  < 1 0.06475268 -0.0794618802 0.09748031 -0.231719997 -0.476619672 -0.05027849
  < 2 0.29764165 -0.2638440495 0.71557329 -0.376634162 -0.293330954 -0.19289558
  < 3 0.10102181 -0.9476729324 0.55297944 -0.729624222 -0.020067962 -0.21988587
  < 4 0.23644030 -0.4620368538 0.41272904 -0.391738294 -0.255294250 -0.41586935
  < 5 0.27437812 -0.0006287476 0.20363074 -0.334757552 -0.006580415 -0.51893323
  < 6 0.03001197 -0.0282737934 0.16990098 -0.013512968 -0.226915097 -0.03125366
  < 7 0.03452663 -0.2797232527 0.07204689 -0.189716052 -0.204170445 -0.04175822
  < 8 0.04346550 -0.0039813280 0.09720844 -0.007732508 -0.229714046 -0.07128998
  < 9 0.46606545 -0.2287772334 0.38768667 -0.279023158 -0.384204279 -0.36721011
  < 10 0.01060048 -0.0862047736 0.07806165 -0.004717987 -0.097325643 -0.01452929
  ---
  > 1 0.064752685 -0.0794618802 0.09748031 -0.231719997 -0.476619672 -0.050278489
  > 2 0.305151591 -0.8072288592 0.50211307 -0.477711823 -0.147263126 -0.374513309
  > 3 0.222294024 -0.7165728460 0.44307519 -0.295276270 -0.378400142 -0.326479319
  > 4 0.236440301 -0.6882505142 0.47040241 -0.599430290 -0.027083595 -0.415869352
  > 5 0.177253207 -0.2179098194 0.13565753 -0.339571429 -0.002495559 -0.321244284
  > 6 0.030011972 -0.0282737934 0.16990098 -0.013512968 -0.226915096 -0.031253662
  > 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
  2569,2578c2569,2578
  < 1 0.076618019 -0.03653098 0.343978345
  < 2 0.233965649 -0.42257054 0.435226098
  < 3 0.790493250 -0.54075623 0.873701998
  < 4 0.403422891 -0.39102832 0.504590682
  < 5 0.001022828 -0.24949901 0.541962486
  < 6 0.020136173 -0.11025144 0.020705656
  < 7 0.207892065 -0.05152273 0.272450182
  < 8 0.002910300 -0.11236499 0.011243764
  < 9 0.237756458 -0.25991537 0.357420124
  < 10 0.057037524 -0.07032604 0.007276667
  ---
  > 1 0.0766180194 -0.03653098 0.343978345
  > 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
  > 6 0.0201361727 -0.11025144 0.020705656
  > 7 0.2078920658 -0.05152273 0.272450182
  > 8 0.0029103000 -0.11236499 0.011243763
  > 9 0.1997825314 -0.12718212 0.473423879
  > 10 -0.0002166239 -0.07032604 0.004095378
  2591,2602c2591,2602
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  < 1 0.3029543 -0.0172183651 -0.0068724139 -0.0007987825 -1.603986e-02
  < 5 0.1281234 -0.0316788202 -0.0132311876 -0.0151197908 1.275610e-02
  < 10 0.1740916 0.0009378468 0.0004647785 0.0059944004 2.177188e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.13843079 -0.0530982598 -0.0172806813 -0.077143745 1.777318e-02
  < 5 -0.03568743 0.0200657227 0.0015022414 0.025879146 -1.000194e-02
  < 10 -0.09475472 -0.0009065487 -0.0002587874 0.005048303 -6.157607e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.04499962 0.063913473 0.0321848342 0.06792361 0.0401556304
  < 5 -0.02238550 -0.051333001 -0.0004181268 -0.03685864 0.0244659522
  < 10 -0.08080996 0.004808756 0.0043398542 0.01805124 0.0002856309
  ---
  > 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 0.30295427 -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
  > 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 -0.05352857 -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
  > d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.0322048225 0.06786429 0.040164460
  > 5 -0.0152675121 -0.01136241 0.032338461
  > 10 -0.0002829929 0.07240787 -0.000211752
  2607,2617c2607,2617
  < 1 -0.0172183651 0.1950255753 0.0622719553 0.0401397381 -1.099614e-02
  < 5 -0.0316788202 0.2473507470 -0.0088770385 0.0847896417 -9.812528e-02
  < 10 0.0009378468 0.0006345412 0.0003527605 0.0002012175 5.187452e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.038966327 -0.09435796 -0.0294285803 -6.244317e-03 1.657715e-02
  < 5 0.002856062 0.09607126 -0.0002623081 -7.412155e-02 -3.858201e-02
  < 10 -0.001274440 -0.00115856 -0.0008906361 -8.046047e-05 1.264932e-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 0.0357162411 -0.0048198244 -1.806442e-02
  < 5 0.003743106 -0.152772812 -0.0008235236 0.1033849314 7.092325e-02
  < 10 -0.001543944 0.001684493 0.0006441206 0.0002908178 7.983142e-06
  ---
  > 1 -0.017218365 0.1950255753 6.227196e-02 0.040139738 -1.099614e-02
  > 5 -0.049296237 0.2929895650 3.153824e-01 -0.201184137 -4.192393e-02
  > 10 0.004432102 0.0005037651 7.202316e-06 0.000641001 2.136184e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.038857208 -0.094400097 -2.942319e-02 -0.0063543095 0.0165336330
  > 5 0.009249418 -0.068181151 -1.950387e-01 0.0880736080 0.0673953794
  > 10 -0.009244504 -0.001511118 2.824234e-05 -0.0001315426 0.0000445859
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.046887462 0.082624678 3.571344e-02 -0.004860131 -1.803348e-02
  > 5 0.005778696 0.136186509 9.488304e-02 -0.081270807 -9.614347e-02
  > 10 -0.004931153 0.001376746 -3.618484e-05 0.001038626 -2.480987e-05
  2622,2632c2622,2632
  < 1 -0.0068724139 0.0622719553 0.34511901 -0.252948000 2.723144e-02
  < 5 -0.0132311876 -0.0088770385 0.15927808 -0.065379945 2.793696e-02
  < 10 0.0004647785 0.0003527605 0.00986425 -0.001545393 2.066051e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0152698191 -0.0311546382 -0.13832106 0.06433553 -0.0298067089
  < 5 0.0028088309 -0.0221485461 -0.01091881 0.07849708 0.0046615708
  < 10 -0.0006366404 -0.0008709147 -0.02606558 0.00317517 -0.0002011704
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.019673797 0.027016375 0.139193756 -0.028097357 0.0370655748
  < 5 0.002161760 0.048515747 0.008444674 -0.119098057 -0.0025885494
  < 10 -0.001820683 0.001070489 0.013943714 -0.002189295 0.0002463807
  ---
  > 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
  2636,2647c2636,2647
  < 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 -0.0007987825 0.0401397381 -0.252948000 0.70425495 -3.987297e-02 0.02591679
  < 5 -0.0151197908 0.0847896417 -0.065379945 0.33863819 -5.843145e-02 -0.01466843
  < 10 0.0059944004 0.0002012175 -0.001545393 0.03302969 -2.290834e-05 -0.01350410
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 -0.0183218300 0.055605116 -0.21566217 0.0309632779 -0.023635283
  < 5 0.0216558723 -0.001428333 -0.10062860 -0.0111518741 -0.009815701
  < 10 -0.0002410605 0.005621302 -0.03199579 0.0001055983 -0.014373003
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0117273072 -0.048313734 0.07341573 -3.139606e-02
  < 5 -0.0376665117 0.001776057 0.17892351 -4.812612e-03
  < 10 0.0007171241 -0.003136755 0.02670793 2.713417e-05
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 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
  2652,2662c2652,2662
  < 1 -1.603986e-02 -1.099614e-02 2.723144e-02 -3.987297e-02 0.126154409
  < 5 1.275610e-02 -9.812528e-02 2.793696e-02 -5.843145e-02 0.325145495
  < 10 2.177188e-07 5.187452e-07 2.066051e-05 -2.290834e-05 0.002171794
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0389411321 -5.643225e-03 2.550780e-03 0.0183749634 0.016851147
  < 5 -0.0024495964 -6.775521e-02 -9.090456e-04 0.1197482040 0.023637364
  < 10 -0.0001195395 -2.303184e-05 -3.779506e-05 -0.0001071579 0.000744488
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0531061085 1.008009e-02 -6.942282e-03 -0.0098382071 -0.166599823
  < 5 -0.0006283886 1.298172e-01 2.906827e-03 -0.1671029696 -0.084628343
  < 10 -0.0002914420 2.268853e-05 1.188715e-05 -0.0001409645 -0.001100733
  ---
  > 1 -0.016039859 -1.099614e-02 2.723144e-02 -0.039872968 0.126154409
  > 5 -0.007904557 -4.192393e-02 -1.068731e-01 0.128251461 0.278130639
  > 10 0.002067240 2.136184e-05 -1.967879e-05 0.000348983 0.003461298
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.038997769 -5.743523e-03 0.0025475931 0.0183796255 0.016845827
  > 5 0.002113014 -3.542558e-02 0.0967072245 -0.0418929613 0.027979933
  > 10 -0.003343491 -5.721849e-05 0.0001007032 -0.0001547646 0.001177401
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.053208623 1.018885e-02 -0.0069451741 -0.0096895083 -0.166602820
  > 5 0.002745458 8.697296e-02 -0.0303160211 0.0187162157 -0.073823069
  > 10 -0.001296140 6.648918e-05 -0.0001200648 0.0003747931 -0.001998159
  2667,2677c2667,2677
  < 1 -0.13843079 0.038966327 0.0152698191 0.02591679 -0.0389411321 0.29106139
  < 5 -0.03568743 0.002856062 0.0028088309 -0.01466843 -0.0024495964 0.01439582
  < 10 -0.09475472 -0.001274440 -0.0006366404 -0.01350410 -0.0001195395 0.09983750
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 0.005663607 -0.0144921414 0.005147258 1.473299e-02 -0.056414331
  < 5 -0.007430663 -0.0002024615 -0.011642317 4.625038e-03 0.009097334
  < 10 0.001006269 -0.0004043109 0.002638055 -4.507487e-05 0.086400511
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.049829513 0.0041119777 -0.04780295 0.0871454938
  < 5 0.010595776 -0.0002094365 0.01344639 -0.0067360259
  < 10 -0.005157017 -0.0041685108 -0.01949279 -0.0002090581
  ---
  > 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
  > 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 0.00645832 -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
  > d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.0041122928 -0.048281415 0.0871429010
  > 5 0.0085990684 -0.001801476 -0.0062843942
  > 10 -0.0006486254 -0.167939247 0.0001700394
  2682,2692c2682,2692
  < 1 -0.0530982598 -0.09435796 -0.0311546382 -0.0183218300 -5.643225e-03
  < 5 0.0200657227 0.09607126 -0.0221485461 0.0216558723 -6.775521e-02
  < 10 -0.0009065487 -0.00115856 -0.0008709147 -0.0002410605 -2.303184e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.005663607 0.111051278 0.027654903 0.0196805890 -2.611701e-02
  < 5 -0.007430663 0.236042515 0.002316959 -0.0184427684 -1.156493e-01
  < 10 0.001006269 0.002522988 0.002403549 0.0002431228 -8.430781e-06
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.007228109 -0.114373990 -0.035461143 -0.0105519224 3.389792e-02
  < 5 -0.002392570 -0.299043040 -0.002456008 0.0404097085 1.760004e-01
  < 10 0.002232898 -0.002941597 -0.001361716 -0.0002225694 -3.700325e-06
  ---
  > 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 -0.0172806813 -0.0294285803 -0.13832106 0.055605116 2.550780e-03
  < 5 0.0015022414 -0.0002623081 -0.01091881 -0.001428333 -9.090456e-04
  < 10 -0.0002587874 -0.0008906361 -0.02606558 0.005621302 -3.779506e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0144921414 0.027654903 0.0938365473 -0.009812979 0.0221903300
  < 5 -0.0002024615 0.002316959 0.0009546069 -0.003984319 -0.0001878037
  < 10 -0.0004043109 0.002403549 0.0738122769 -0.010424962 0.0005325138
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0156803997 -0.024652957 -0.0945860736 0.006499972 -0.0417436068
  < 5 -0.0001629286 -0.003124052 -0.0007402753 0.005808241 -0.0001720219
  < 10 0.0029439689 -0.002630211 -0.0361537253 0.006929969 -0.0005652604
  ---
  > 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
  2711,2722c2711,2722
  < 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 -0.077143745 -6.244317e-03 0.06433553 -0.21566217 0.0183749634 0.005147258
  < 5 0.025879146 -7.412155e-02 0.07849708 -0.10062860 0.1197482040 -0.011642317
  < 10 0.005048303 -8.046047e-05 0.00317517 -0.03199579 -0.0001071579 0.002638055
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 0.0196805890 -0.009812979 0.1387038 -0.0218672237 0.001237701
  < 5 -0.0184427684 -0.003984319 0.3399909 -0.0244102859 -0.003855372
  < 10 0.0002431228 -0.010424962 0.0472980 -0.0001337612 0.010638522
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0168545755 0.004530756 -0.06991615 6.093482e-03
  < 5 0.0495442486 0.004121772 -0.40656691 3.794833e-02
  < 10 -0.0001839311 0.005588453 -0.01833988 -4.356880e-06
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 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 1.777318e-02 1.657715e-02 -0.0298067089 0.0309632779 0.016851147
  < 5 -1.000194e-02 -3.858201e-02 0.0046615708 -0.0111518741 0.023637364
  < 10 -6.157607e-05 1.264932e-05 -0.0002011704 0.0001055983 0.000744488
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 1.473299e-02 -2.611701e-02 0.0221903300 -0.0218672237 0.1000672188
  < 5 4.625038e-03 -1.156493e-01 -0.0001878037 -0.0244102859 0.1937437435
  < 10 -4.507487e-05 -8.430781e-06 0.0005325138 -0.0001337612 0.0004886814
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -2.118765e-02 2.391456e-02 -0.0192497463 1.311532e-02 -0.0264015057
  < 5 8.189099e-04 1.547016e-01 0.0008688604 1.431114e-02 -0.1216538817
  < 10 -1.033816e-05 5.008669e-05 -0.0003277078 7.804533e-05 -0.0006086233
  ---
  > 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 -0.019673797 -0.023635283 0.0531061085
  < 5 -0.02238550 0.003743106 0.002161760 -0.009815701 -0.0006283886
  < 10 -0.08080996 -0.001543944 -0.001820683 -0.014373003 -0.0002914420
  < 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 0.0156803997 0.001237701 -2.118765e-02
  < 5 0.009097334 -0.002392570 -0.0001629286 -0.003855372 8.189099e-04
  < 10 0.086400511 0.002232898 0.0029439689 0.010638522 -1.033816e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.260361058 -0.0035018480 -2.694239e-02 -0.014380310 -0.1122989715
  < 5 0.006090316 0.0002869601 -8.447183e-05 0.006042466 -0.0003998979
  < 10 0.087708763 -0.0051694977 -5.736905e-03 -0.014388488 -0.0001265126
  ---
  > 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
  2756,2767c2756,2767
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  < 1 0.063913473 0.082729383 0.027016375 0.0117273072 1.008009e-02
  < 5 -0.051333001 -0.152772812 0.048515747 -0.0376665117 1.298172e-01
  < 10 0.004808756 0.001684493 0.001070489 0.0007171241 2.268853e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.049829513 -0.114373990 -0.024652957 -0.0168545755 2.391456e-02
  < 5 0.010595776 -0.299043040 -0.003124052 0.0495442486 1.547016e-01
  < 10 -0.005157017 -0.002941597 -0.002630211 -0.0001839311 5.008669e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0035018480 0.146750468 0.039168067 0.012912150 -4.726085e-02
  < 5 0.0002869601 0.885281271 0.003649735 -0.068625770 -4.493636e-01
  < 10 -0.0051694977 0.005009667 0.001990318 0.001099313 8.126313e-05
  ---
  > 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 0.06372503 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
  > d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  > 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
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 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 0.0357162411 0.139193756 -0.048313734 -6.942282e-03
  < 5 -0.0004181268 -0.0008235236 0.008444674 0.001776057 2.906827e-03
  < 10 0.0043398542 0.0006441206 0.013943714 -0.003136755 1.188715e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0041119777 -0.035461143 -0.0945860736 0.004530756 -0.0192497463
  < 5 -0.0002094365 -0.002456008 -0.0007402753 0.004121772 0.0008688604
  < 10 -0.0041685108 -0.001361716 -0.0361537253 0.005588453 -0.0003277078
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -2.694239e-02 0.039168067 0.1139626641 -0.004200637 0.0551646088
  < 5 -8.447183e-05 0.003649735 0.0006346761 -0.005422953 -0.0004947911
  < 10 -5.736905e-03 0.001990318 0.0223542092 -0.003964976 0.0003866889
  ---
  > 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
  2787,2789c2787,2789
  < 1 0.06792361 -0.0048198244 -0.028097357 0.07341573 -0.0098382071 -0.04780295
  < 5 -0.03685864 0.1033849314 -0.119098057 0.17892351 -0.1671029696 0.01344639
  < 10 0.01805124 0.0002908178 -0.002189295 0.02670793 -0.0001409645 -0.01949279
  ---
  > 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
  2791,2793c2791,2793
  < 1 -0.0105519224 0.006499972 -0.06991615 1.311532e-02 -0.014380310 0.012912150
  < 5 0.0404097085 0.005808241 -0.40656691 1.431114e-02 0.006042466 -0.068625770
  < 10 -0.0002225694 0.006929969 -0.01833988 7.804533e-05 -0.014388488 0.001099313
  ---
  > 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
  2795,2797c2795,2797
  < 1 -0.004200637 0.07322962 -4.167117e-03
  < 5 -0.005422953 0.67708373 -6.009472e-02
  < 10 -0.003964976 0.03371628 -4.967472e-05
  ---
  > 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 0.0370655748 -3.139606e-02 -0.166599823
  < 5 0.0244659522 7.092325e-02 -0.0025885494 -4.812612e-03 -0.084628343
  < 10 0.0002856309 7.983142e-06 0.0002463807 2.713417e-05 -0.001100733
  < 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 -0.0417436068 6.093482e-03 -0.0264015057
  < 5 -0.0067360259 1.760004e-01 -0.0001720219 3.794833e-02 -0.1216538817
  < 10 -0.0002090581 -3.700325e-06 -0.0005652604 -4.356880e-06 -0.0006086233
  < 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 0.0551646088 -4.167117e-03 0.4722683869
  < 5 -0.0003998979 -4.493636e-01 -0.0004947911 -6.009472e-02 0.4935262903
  < 10 -0.0001265126 8.126313e-05 0.0003866889 -4.967472e-05 0.0009463663
  ---
  > 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 -0.2316491 -0.033140140 -0.004011498 -0.06214431 0.0018383031 -0.01681988
  < 5 -0.1862993 0.044064595 0.006454222 0.06914671 -0.0114836183 0.03668177
  < 10 0.1892359 0.002212844 0.001461047 0.01477834 0.0001456505 -0.16744939
  ---
  > 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 -0.0086347596 0.06260548
  < 5 -0.008337775 -0.0003330669 -0.041877612 0.0037636561 0.02244871
  < 10 -0.002499823 -0.0013322676 0.001226796 -0.0004773959 -0.19562615
  ---
  > 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 -0.04333166 -0.03714806 0.0075967010
  < 5 -0.001987299 -0.00104361 -0.01464662 0.0015432100
  < 10 0.010455525 0.00865974 0.03936573 -0.0002664535
  ---
  > 1 -0.058664185 -0.043379883 -0.0374811293 0.007821521
  > 5 -0.001396105 -0.004829470 -0.0004107825 0.001487699
  > 10 0.006962183 0.001332268 0.0393553246 0.000721645
  2882,2884c2882,2884
  < 1 0.201546991 -0.0611282749 -0.0181665233 -0.100909653 0.0054097379 0.00000000
  < 5 0.008047971 -0.0016266396 -0.0002528796 -0.014698144 0.0006733222 0.03668177
  < 10 0.269941736 -0.0006627176 -0.0007103860 -0.001967969 0.0001509005 0.00000000
  ---
  > 1 0.201546991 -6.112827e-02 -1.816652e-02 -0.100909653 0.0054097379 0.00000000
  > 5 0.003769362 -9.991672e-03 -3.235336e-03 -0.000354810 0.0006657360 0.01616485
  > 10 0.373667957 -2.496226e-05 -3.619638e-05 -0.001967969 0.0004485681 0.00000000
  2886,2888c2886,2888
  < 1 0.000000000 0.0000000000 0.0000000 0.000000000 0.00000000 0.000000000
  < 5 -0.008337775 -0.0003330669 -0.0419581 0.003763656 0.02244871 -0.001987299
  < 10 0.000000000 0.0000000000 0.0000000 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 0.00000000 0.00000000 0.00000000
  < 5 -0.00104361 -0.01462996 0.00154321
  < 10 0.00000000 0.00000000 0.00000000
  ---
  > 1 0.00000000 0.0000000000 0.000000000
  > 5 -0.00482947 -0.0004107825 0.001487699
  > 10 0.00000000 0.0000000000 0.000000000
  2897,2907c2897,2907
  < 1 -0.28355741 -0.040566243 -0.0049104019 -0.076069725 2.250233e-03
  < 5 0.10355283 -0.024492915 -0.0035875215 -0.038434583 6.383068e-03
  < 10 -0.08946912 -0.001046214 -0.0006907696 -0.006987072 -6.886169e-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 0.41255701 0.040545933 0.019128767 0.037429268 -0.0067453128 0.07628342
  < 5 -0.01287973 0.002753191 -0.001707272 0.008383393 -0.0012140570 -0.01316725
  < 10 0.15988552 -0.001693434 -0.001660730 -0.017391626 -0.0003722256 0.09248852
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.072641893 -0.0530974570 -0.046485038 0.0097921671
  < 5 0.001748601 -0.0005218048 0.007877032 -0.0010658141
  < 10 -0.004941100 -0.0043631765 -0.018567092 0.0002109424
  ---
  > 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 0.2473604 0.035387828 0.004283573 0.06635917 -0.0019629838 0.01827427
  < 5 0.1164444 -0.027542102 -0.004034141 -0.04321941 0.0071777128 -0.02312595
  < 10 0.2372668 0.002774497 0.001831882 0.01852930 0.0001826184 -0.20996954
  ---
  > 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 -0.029029903 -0.066491257 8.990031e-03 0.366815824
  < 5 0.004979350 0.000821565 0.026076363 -1.831868e-03 -0.006951143
  < 10 -0.003143753 -0.001509903 0.001623701 6.661338e-05 -0.164591732
  ---
  > 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 0.032201297 0.003056763 -0.0049300982
  < 5 -0.000211105 -0.001374205 -0.005805258 -0.0005923324
  < 10 0.010218045 0.010696052 0.032680820 0.0013819266
  ---
  > 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 0.15112666 0.038148543 0.0133838793 -0.0080595407
  < 5 0.049460137 -0.07512963 -0.028541702 -0.0039733689 0.0066974775
  < 10 0.001477843 -0.01404540 -0.002545144 -0.0005325707 0.0001883848
  < 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 -0.010202950 0.0297067926
  < 5 -0.007660539 0.17593149 0.0008326673 0.009744983 -0.0583089133
  < 10 0.002046974 0.02890492 0.0073274720 0.001199735 0.0002331468
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0850430837 0.12609913 0.027963395 0.005651035 -2.971789e-02
  < 5 0.0007327472 -0.32591152 -0.001432188 -0.005784262 1.045164e-01
  < 10 0.0176386683 -0.04134809 -0.009126033 -0.001934564 -8.881784e-05
  ---
  > 1 0.005905710 0.151126660 0.0381485427 0.0133838793 -8.059541e-03
  > 5 0.036254647 -0.127722908 -0.0631217321 0.0025958805 -2.262905e-02
  > 10 0.008505339 -0.005666701 -0.0002005764 -0.0005325707 -5.389278e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.074540374 -0.15319968 -0.026152344 -9.847678e-03 0.0295180547
  > 5 -0.008504308 0.22603031 0.076116891 -3.053113e-05 -0.0640598685
  > 10 -0.010219603 0.02070232 -0.000577316 1.198347e-03 -0.0003219647
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.084987573 0.12613244 0.027959232 0.005506706 -0.029412583
  > 5 -0.008093526 -0.39311054 -0.042077453 -0.003926026 0.096234132
  > 10 0.026917357 -0.01589779 0.001620926 -0.001922074 0.001498801
  2942,2944c2942,2944
  < 1 -0.053801741 0.223865689 4.695843e-02 1.641607e-02 -0.0190050539
  < 5 -0.001111762 0.354249378 7.960543e-05 9.213415e-03 -0.0689671863
  < 10 -0.003091967 0.002323759 1.157208e-05 4.313022e-06 -0.0001426121
  ---
  > 1 -0.0538017415 2.238657e-01 4.695843e-02 1.641607e-02 -1.900505e-02
  > 5 -0.0018977104 2.250049e-01 3.344142e-02 1.072206e-02 -9.541636e-02
  > 10 -0.0008749482 4.567328e-05 7.288836e-06 4.313022e-06 4.380274e-06
  2946,2948c2946,2948
  < 1 0.000000000 0.0000000 0.0000000000 0.000000000 0.00000000 0.0000000000
  < 5 -0.007793766 0.1758982 0.0006994405 0.009728329 -0.05830891 0.0009992007
  < 10 0.000000000 0.0000000 0.0000000000 0.000000000 0.00000000 0.0000000000
  ---
  > 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
  2950,2952c2950,2952
  < 1 0.0000000 0.000000000 0.000000000 0.0000000
  < 5 -0.3258449 -0.001165734 -0.005750955 0.1045164
  < 10 0.0000000 0.000000000 0.000000000 0.0000000
  ---
  > 1 0.0000000 0.00000000 0.000000000 0.00000000
  > 5 -0.3930439 -0.04207745 -0.003926026 0.09623413
  > 10 0.0000000 0.00000000 0.000000000 0.00000000
  2957,2967c2957,2967
  < 1 0.0072290721 0.184991393 0.046696937 0.0163829637 -9.865537e-03
  < 5 -0.0274919778 0.041760137 0.015864653 0.0022085618 -3.722733e-03
  < 10 -0.0006987116 0.006640544 0.001203322 0.0002517949 -8.906642e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.031130996 -0.115144014 -0.023259602 -9.757575e-03 0.0252061238
  < 5 0.003340231 0.256394321 0.001434077 3.742791e-03 -0.0369039455
  < 10 -0.005516276 0.002701965 -0.000740646 -3.210553e-05 -0.0001200547
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1040723063 0.15365487 0.034284728 0.0067945649 -0.0360905750
  < 5 -0.0005995204 0.18134383 -0.001187939 0.0030198066 -0.0582756066
  < 10 -0.0083058560 0.01954313 0.004118927 0.0009929557 0.0007771561
  ---
  > 1 0.007229072 0.184991393 4.669694e-02 0.0163829637 -9.865537e-03
  > 5 -0.020151823 0.070993646 3.508566e-02 -0.0014428970 1.257816e-02
  > 10 -0.004021252 0.002679168 9.483148e-05 0.0002517949 2.548028e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.031253120 -0.11525504 -0.023259602 -9.724268e-03 0.0251783683
  > 5 0.003775530 0.09951639 -0.008147532 1.068320e-02 -0.0585680546
  > 10 -0.004489755 -0.00407461 -0.001235424 -8.900447e-05 -0.0005967585
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.104294351 0.153832502 0.0343010342 0.0067168493 -0.0360822483
  > 5 0.002808864 0.218255969 0.0219380070 0.0022315483 -0.0540567591
  > 10 -0.012467805 0.007513196 0.0007993606 0.0009950374 0.0005995204
  2972,2982c2972,2982
  < 1 -0.006306257 -0.16137663 -0.040735918 -0.0142916237 0.0086061686
  < 5 -0.030914528 0.04695897 0.017839684 0.0024835117 -0.0041861868
  < 10 0.001852942 -0.01761033 -0.003191139 -0.0006677451 0.0002362002
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.078193008 0.16561197 0.027984559 0.012756463 -0.0318939319
  < 5 0.002564615 -0.11007306 -0.001998401 -0.006472600 0.0355271368
  < 10 0.002577105 0.03625026 0.009003909 0.001507128 -0.0008437695
  < 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 -0.021030830 -0.005083536 0.020848498
  < 5 0.0007423094 0.55816404 0.001478486 0.012999276 -0.132805010
  < 10 0.0175243213 -0.03546854 -0.007690642 -0.001966669 0.001611893
  ---
  > 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
  2987,2997c2987,2997
  < 1 -0.0021194285 0.040008174 0.22756421 -0.078470237 0.0153747158
  < 5 0.0084265604 -0.057051548 -0.13374135 0.135148228 -0.0231752358
  < 10 0.0007301026 -0.001644378 -0.05889389 0.003468366 -0.0001924686
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 2.698952e-02 -0.032363001 -0.168428119 0.01090239 -0.029143354
  < 5 5.440093e-04 0.007299716 0.004762857 -0.08782974 0.001543210
  < 10 -7.077672e-05 0.004921671 0.168631775 -0.01383338 0.001687539
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0280664381 0.030686564 0.166020322 -0.007449596 0.032146508
  < 5 -0.0008770762 -0.006006307 -0.004196643 0.079342088 -0.001276756
  < 10 0.0082947538 -0.006249948 -0.113686838 0.010388218 -0.001054712
  ---
  > 1 -2.119429e-03 4.000817e-02 2.275642e-01 -0.078470237 1.537472e-02
  > 5 1.425229e-02 -4.960566e-02 -3.317300e-01 0.152993203 -7.337298e-02
  > 10 6.477041e-07 -2.319380e-06 -8.134604e-06 0.003468366 7.278622e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 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
  3001,3015d3000
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  < 1 -1.562944e-02 0.0504285819 0.2984391653 -8.143947e-02 2.536810e-02
  < 5 1.506417e-05 0.0009823548 0.0005630315 -2.660125e-02 1.415730e-04
  < 10 -1.210393e-03 0.0001269101 0.0089098833 -1.614254e-05 -2.442035e-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 0.0000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.0000000000
  < 5 0.0005440093 0.007299716 0.004762857 -0.08782974 0.00154321 -0.0008770762
  < 10 0.0000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.0000000000
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.000000000 0.000000000 0.00000000 0.000000000
  < 5 -0.006006307 -0.004196643 0.07934209 -0.001276756
  < 10 0.000000000 0.000000000 0.00000000 0.000000000
  <
  < , , b_3_2
  <
  3017,3019c3002,3004
  < 1 -0.0025943546 0.048973277 0.27855720 -0.096053990 1.881991e-02 0.0201963581
  < 5 -0.0046838287 0.031711597 0.07433895 -0.075120944 1.288175e-02 0.0009476518
  < 10 -0.0003451862 0.000777448 0.02784452 -0.001639813 9.099743e-05 -0.0019460469
  ---
  > 1 -0.0156294413 5.042858e-02 0.2984392 -8.143947e-02 0.02536810 0.000000000
  > 5 -0.0005183526 1.163298e-02 0.1595899 -1.645152e-02 0.03637096 -0.004696243
  > 10 0.0000000000 2.385245e-12 0.0000000 -1.614254e-05 0.00000000 0.000000000
  3021,3023c3006,3008
  < 1 -0.028848181 -0.135309418 0.008654803 -0.0255837109 -0.035382808 0.038280490
  < 5 -0.003153226 -0.002068197 0.022473379 -0.0006022767 -0.003619327 0.003402834
  < 10 -0.000553241 -0.011710401 0.003112992 -0.0009754814 -0.003903822 0.002941657
  ---
  > 1 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
  > 5 0.03850253 0.3615441 -0.05949685 0.09197088 -0.001731948 -0.03806677
  > 10 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
  3025,3027c3010,3027
  < 1 0.2032065488 -0.008126833 0.0389327459
  < 5 -0.0007549517 -0.044869664 -0.0008881784
  < 10 0.0547006884 -0.004914819 0.0020206059
  ---
  > 1 0.0000000 0.00000000 0.00000000
  > 5 -0.2394751 0.05397904 -0.09232615
  > 10 0.0000000 0.00000000 0.00000000
  >
  > , , b_3_2
  >
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 1 -2.594354e-03 4.897328e-02 2.785572e-01 -0.096053990 1.881991e-02
  > 5 -7.922011e-03 2.757286e-02 1.843892e-01 -0.085039916 4.078372e-02
  > 10 -3.063105e-07 1.096582e-06 3.845368e-06 -0.001639813 -3.445022e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 2.055163e-02 -2.840409e-02 -1.352966e-01 0.008921257 -0.0256614265
  > 5 4.211197e-03 -9.464038e-03 -3.967290e-02 0.016694185 -0.0147770187
  > 10 1.600564e-05 -9.997156e-06 7.474765e-05 0.003065808 0.0004100547
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -3.563816e-02 3.824718e-02 0.2032009977 -0.007882583 0.039018788
  > 5 6.328271e-04 2.109146e-02 0.1328825938 -0.029887204 0.051059157
  > 10 -1.665335e-05 1.049508e-05 0.0008881784 -0.004873185 -0.000432987
  3032,3042c3032,3042
  < 1 0.0022631761 -0.042721676 -0.24299846 0.083792380 -0.0164174858
  < 5 -0.0052669306 0.035659458 0.08359360 -0.084472949 0.0144854327
  < 10 0.0009154136 -0.002061746 -0.07384204 0.004348689 -0.0002413205
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -2.918776e-02 0.034861003 0.179837742 -0.009992007 0.031055714
  < 5 -9.880985e-04 -0.004790612 -0.004918288 0.054464766 -0.001920686
  < 10 -3.538836e-05 0.006156013 0.210464979 -0.017320173 0.001076916
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0176539476 -0.021776061 -0.106375271 0.003558880 -0.024248668
  < 5 -0.0008065009 0.005101282 0.002572535 -0.076125528 0.000574560
  < 10 0.0083908234 -0.006055524 -0.073916197 0.009588368 -0.001874762
  ---
  > 1 2.263176e-03 -4.272168e-02 -2.429985e-01 0.083792380 -1.641749e-02
  > 5 -8.908243e-03 3.100548e-02 2.073443e-01 -0.095626760 4.586099e-02
  > 10 8.121281e-07 -2.908073e-06 -1.019873e-05 0.004348689 9.126033e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 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
  3046,3057c3046,3057
  < 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 0.002705363 0.006003173 -0.092860523 0.3455462 -1.471641e-02 0.06412648
  < 5 0.063242469 0.016668253 0.071275446 -0.1751393 9.014262e-03 -0.01595390
  < 10 0.006751437 -0.000363007 0.003342811 -0.1063726 -8.838708e-05 0.01977099
  < 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 -0.0081268325 0.013620355 -0.1878719 0.011873835 -0.046096460 0.005984102
  < 5 0.0091315844 -0.002675637 0.2276040 -0.008748557 -0.009714451 -0.013350432
  < 10 0.0007026497 -0.014277468 0.1293493 -0.000432987 0.041191356 -0.001366789
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.009878209 0.07669421 -0.0091593400
  < 5 0.001976197 -0.25329183 0.0108468790
  < 10 0.010635937 -0.12748691 0.0003441691
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 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
  3062,3064c3062,3064
  < 1 -0.070486050 8.356094e-03 -0.0957690657 0.446815027 -0.0192646647
  < 5 -0.003630890 2.012064e-02 -0.0002534076 0.271230985 -0.0250018362
  < 10 -0.007886791 4.168080e-06 -0.0000498741 0.006389641 -0.0002307652
  ---
  > 1 -0.0704860504 8.356094e-03 -9.576907e-02 0.446815027 -0.019264665
  > 5 -0.0002497857 5.357864e-03 -1.470440e-02 0.188768730 -0.015629906
  > 10 -0.1731406073 1.444835e-05 5.217382e-06 0.006389641 -0.001192028
  3066,3068c3066,3068
  < 1 0.00000000 0.000000000 0.000000000 0.0000000 0.000000000 0.000000000
  < 5 -0.01604272 0.009170442 -0.002942091 0.2274986 -0.008459899 -0.009958701
  < 10 0.00000000 0.000000000 0.000000000 0.0000000 0.000000000 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 0.000000000 0.0000000 0.00000000
  < 5 -0.01335598 0.002398082 -0.2531586 0.01083578
  < 10 0.00000000 0.000000000 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 -0.113668875 0.42297682 -1.801409e-02
  < 5 -0.035152766 -0.0092649003 -0.039617825 0.09734963 -5.010498e-03
  < 10 -0.003192022 0.0001716266 -0.001580452 0.05029204 4.178879e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.004146722 -8.338527e-03 0.013837437 -0.12901364 0.0101039173
  < 5 0.003452332 1.478046e-02 0.001323108 0.14476826 -0.0203277970
  < 10 -0.023990470 2.751627e-05 0.003357472 0.05163333 0.0006569824
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.056221694 0.0077049478 -0.0121461868 0.09335865 -0.0114269705
  < 5 0.007482903 0.0080657703 -0.0006439294 0.14076240 -0.0058175686
  < 10 -0.019433760 0.0006439294 -0.0037525538 0.06024140 -0.0004551914
  ---
  > 1 0.003311586 0.0073483750 -1.136689e-01 0.42297682 -0.0180140940
  > 5 -0.009902853 0.0053765748 -9.525208e-02 0.15755932 -0.0379103990
  > 10 0.015828009 0.0006090281 1.705991e-05 0.05029204 0.0004614916
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.004379869 -0.008116483 0.0138284160 -0.12890261 0.0101177950
  > 5 -0.001293396 0.001188976 0.0149052500 0.08560958 0.0088394096
  > 10 -0.218652414 -0.000596161 -0.0001363342 0.05164443 -0.0001160088
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.056399330 0.007904788 -0.0121579830 0.09340306 -1.136591e-02
  > 5 0.001154632 0.004671263 -0.0270894418 0.14459545 -2.736700e-02
  > 10 -0.058797411 0.001837246 0.0009992007 0.06023931 8.881784e-05
  3091,3098c3091,3098
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
  < 1 -0.002888851 -0.0064103309 0.099158667 -0.3689824 0.0157145354 -0.06729062
  < 5 -0.039529027 -0.0104183123 -0.044549952 0.1094689 -0.0056342682 0.01021405
  < 10 0.008465053 -0.0004551436 0.004191265 -0.1333715 -0.0001108207 0.02481834
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 0.0103250741 -0.014533513 0.2021827 -0.0128563826 -0.023275787
  < 5 -0.0056898930 0.001731948 -0.1422779 0.0050071058 0.003807604
  < 10 0.0008860968 -0.017696955 0.1620877 -0.0002553513 0.036939957
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 1 -0.002888851 -0.006410331 0.0991586674 -0.3689824 0.015714535
  > 5 -0.011135686 0.006045919 -0.1071102627 0.1771743 -0.042629964
  > 10 -0.041974947 -0.001615107 -0.0000452427 -0.1333715 -0.001223848
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  > 1 -6.725731e-02 0.010313972 -0.014536289 0.2018608 -0.012681522 -0.023686569
  > 5 1.110223e-05 -0.004496403 0.034849901 -0.1160974 0.026578739 -0.000394115
  > 10 2.096018e-01 0.005030503 -0.000288658 0.1620780 -0.001787459 0.016573313
  3100,3102c3100,3102
  < 1 -0.003853226 0.007695128 0.01990058 0.0055936362
  < 5 0.028630496 -0.000342226 0.42977916 -0.0312856981
  < 10 -0.001355145 0.009030711 -0.04700860 -0.0005975697
  ---
  > 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 -2.503908e-03 -9.035001e-03 1.449096e-02 -0.01287877 -0.10197888
  < 5 -9.413399e-03 -1.034015e-02 -1.532401e-02 0.03043189 0.06400556
  < 10 2.785042e-05 1.523494e-05 -2.407141e-05 0.00009479 0.02174656
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.670886e-02 0.0236921593 -0.0242812714 0.010191847 -0.19548807
  < 5 2.964295e-03 -0.0726418925 -0.0001221245 -0.037755910 0.10167422
  < 10 3.330669e-05 -0.0001282828 0.0002997602 -0.000395517 0.01254552
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 2.012834e-02 -0.0232591724 0.026221733 -0.0080269125 0.28516078
  < 5 -3.330669e-05 0.1262712157 0.001920686 0.0404704048 -0.16646684
  < 10 -1.630640e-04 0.0001845746 -0.001076916 0.0005197232 -0.02018385
  ---
  > 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
  3121,3132c3121,3132
  < 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 7.005863e-03 -1.687957e-02 2.207828e-02 -0.0163091128 0.19275787 0.000000000
  < 5 3.962406e-04 -7.345513e-02 1.010652e-04 -0.0188677450 0.40002708 0.003008704
  < 10 4.650344e-05 -1.692349e-05 7.448531e-05 -0.0000227013 0.02778154 0.000000000
  < 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 0.00000000 0.0000000000 0.00000000 0.0000000 0.000000e+00 0.0000000
  < 5 -0.07259193 0.0006994405 -0.03756717 0.1019629 -9.992007e-05 0.1260825
  < 10 0.00000000 0.0000000000 0.00000000 0.0000000 0.000000e+00 0.0000000
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.000000000 0.00000000 0.0000000
  < 5 0.001121325 0.04044265 -0.1666445
  < 10 0.000000000 0.00000000 0.0000000
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 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
  > 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 0.0000000000 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
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.00000000 0.00000000 0.00000000 0.0000000
  > 5 0.08528456 -0.05111467 0.02727957 -0.4349854
  > 10 0.00000000 0.00000000 0.00000000 0.0000000
  3137,3147c3137,3147
  < 1 -3.064988e-03 -1.105958e-02 0.0177381242 -1.576467e-02 -0.12483049
  < 5 5.232354e-03 5.747480e-03 0.0085177179 -1.691529e-02 -0.03557692
  < 10 -1.316736e-05 -7.202953e-06 0.0000113809 -4.481589e-05 -0.01028159
  < 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 -0.0221028261 9.403834e-03 0.0553615669
  < 5 5.960806e-04 -3.344825e-02 0.0002009849 2.143226e-03 0.3436721575
  < 10 -2.644977e-05 2.274556e-05 0.0002539874 -1.895901e-05 0.0003728439
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 2.641221e-02 -2.684519e-02 0.0320708737 -0.0072053474 0.348635010
  < 5 6.661338e-05 -6.997181e-02 0.0012878587 -0.0221656027 0.093736130
  < 10 1.595946e-05 -8.890458e-05 -0.0002553513 -0.0001700029 0.009992007
  ---
  > 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 2.673732e-03 0.0096477881 -1.547379e-02 0.0137522546 0.10889547
  < 5 5.883743e-03 0.0064629989 9.578110e-03 -0.0190211245 -0.04000599
  < 10 3.491926e-05 0.0000191018 -3.018108e-05 0.0001188491 0.02726616
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0186184401 -0.0253241872 0.025905320 -0.0105471187 0.20854707
  < 5 -0.0022648550 0.0450084414 -0.001754152 0.0232397435 -0.06425971
  < 10 0.0000721645 -0.0001648855 0.001210143 -0.0004933554 0.01663114
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0129833478 0.0169245017 -0.0204524102 0.003708390 -0.00951154
  < 5 -0.0005363472 -0.1519034931 0.0008338119 -0.044033726 0.50442135
  < 10 -0.0001797993 0.0002082742 -0.0010893825 0.000532683 -0.01966668
  ---
  > 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
  3167,3177c3167,3177
  < 1 0.072752928 0.012780185 -0.0063633132 -2.325631e-02 0.0086575822
  < 5 0.048493540 -0.028699302 -0.0092032146 -3.693625e-02 0.0095336178
  < 10 0.005519478 0.005407743 -0.0001456905 -4.108085e-05 -0.0003286384
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.154687374 -0.1651234705 -0.004292400 -0.0032751579 0.032887582
  < 5 -0.001287859 0.0007827072 0.002253753 0.0081101792 -0.001099121
  < 10 -0.003193279 -0.0023314684 0.001920686 0.0009992007 0.001620926
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0953126467 2.826739e-01 0.0199874839 8.160139e-03 -0.0574179593
  < 5 0.0002220446 2.775558e-05 0.0013322676 -6.938894e-05 -0.0003219647
  < 10 0.0292585400 3.097782e-02 0.0008770762 5.412337e-05 0.0014210855
  ---
  > 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
  > 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 -0.15465407 -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
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 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
  3182,3192c3182,3192
  < 1 -0.0272145777 0.0343705288 0.0108054843 -6.350999e-03 -0.0007693303
  < 5 -0.0429421192 0.0071002774 -0.0451396762 1.205425e-01 -0.0075880257
  < 10 -0.0008235292 0.0004761164 0.0003259362 -7.298017e-05 0.0024085025
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0361488617 -0.0375921516 -0.040949882 0.0016542323 -0.0106858966
  < 5 -0.0013211654 -0.0003996803 -0.001043610 -0.0304228864 -0.0008437695
  < 10 0.0006973588 -0.0010026702 -0.001454392 0.0001304512 0.0023536728
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.049749094 5.653256e-02 0.120087273 -0.0033084646 0.0229843922
  < 5 0.001232348 2.220446e-05 0.001454392 0.0049821258 0.0007771561
  < 10 -0.006756401 3.254081e-03 0.008171241 -0.0004274359 0.0013877788
  ---
  > 1 -2.721458e-02 3.437053e-02 1.080548e-02 -6.351000e-03 -7.693303e-04
  > 5 -9.055965e-02 2.546342e-02 -6.095967e-02 2.338116e-02 -2.316401e-02
  > 10 -1.532774e-06 2.668837e-06 2.046807e-06 -7.298017e-05 -1.972755e-06
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 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
  3197,3199c3197,3199
  < 1 0.18666014 -0.0539832123 -0.033931029 0.01698314 0.004752179 -0.18162138
  < 5 -0.21889627 0.0487535610 0.033870147 -0.18063904 -0.005167325 0.09836576
  < 10 0.02865142 -0.0002409948 -0.001677683 0.02658285 -0.002167196 0.02247161
  ---
  > 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
  3201,3203c3201,3203
  < 1 -0.008182344 0.017634505 -0.16342483 0.0107858167 0.04438672 0.0124678046
  < 5 -0.022720714 -0.002009504 0.02252087 0.0068833828 0.06724621 -0.0085209617
  < 10 0.001356727 0.003608225 0.02819411 -0.0007327472 0.09248644 -0.0009220923
  ---
  > 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
  3205,3207c3205,3207
  < 1 -0.018666665 0.222921681 -0.0176775261
  < 5 -0.001310063 0.005959122 0.0019761970
  < 10 -0.006394885 0.091705116 0.0002220446
  ---
  > 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 -0.198128323
  < 5 -0.063089836 1.721129e-02 -0.0023207775 5.001046e-02 -0.053072771
  < 10 0.007113414 5.921216e-06 0.0015433299 3.572719e-05 -0.007651713
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.1711186748 -5.662137e-04 -0.0214588763 -0.0282551760 0.0486416463
  < 5 0.0196731520 -4.746203e-03 -0.0027977620 -0.0416056078 0.0104916076
  < 10 0.0001297573 -3.295975e-06 -0.0005662137 -0.0001512679 -0.0004107825
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.254174459 -1.232348e-02 3.817502e-02 0.0224709140 0.505234743
  < 5 0.006117329 -5.273559e-04 1.221245e-04 0.0019706459 0.006272760
  < 10 -0.002980949 -2.055647e-05 -2.220446e-05 0.0003289036 0.002731149
  ---
  > 1 0.111753476 1.527046e-03 -0.0005739351 1.456956e-03 -0.19812832
  > 5 0.141830219 -6.928993e-02 -0.0757715440 -3.266092e-02 -0.02436118
  > 10 0.004603912 -2.557238e-06 0.0003578298 3.572718e-05 -0.02125865
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.171185288 2.331468e-04 -0.021444999 -0.0282662782 0.048672177
  > 5 -0.025546232 2.173817e-02 0.026478819 0.0032543412 0.006794565
  > 10 0.001654232 1.157928e-05 -0.001487699 -0.0002185752 -0.001876277
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.254141153 -1.308953e-02 0.0381764065 0.0217714735 0.505179232
  > 5 -0.026567637 9.645063e-03 0.0130118138 0.0014863111 0.003785861
  > 10 -0.005959122 -2.331035e-05 0.0003108624 0.0003934353 0.008826273
  3227,3237c3227,3237
  < 1 1.181186e-02 -0.129013157 0.119873943 -0.0379627015 0.0115354101
  < 5 5.937503e-03 -0.101064790 0.174963312 -0.1495208181 0.0314384454
  < 10 -4.870546e-05 -0.005021199 0.005014896 -0.0002805039 -0.0009988042
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0059396932 0.060529359 -0.066566891 -0.004607426 -0.0113131726
  < 5 -0.0014765966 0.004890532 -0.008437695 0.086497476 -0.0025091040
  < 10 -0.0002088607 0.016028498 -0.015720758 0.001240674 0.0004218847
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0023536728 -0.062760908 0.067143860 0.002742251 0.012309598
  < 5 0.0008881784 -0.003363976 0.006628031 -0.087119201 0.002164935
  < 10 0.0006689094 -0.018674558 0.016842083 -0.001325329 -0.002142730
  ---
  > 1 1.181186e-02 -1.290132e-01 1.198739e-01 -0.0379627015 1.153541e-02
  > 5 6.374342e-02 -1.848781e-01 -3.998136e-01 0.1949841443 -2.578791e-02
  > 10 -1.054712e-07 -4.180325e-06 5.335732e-06 -0.0002805039 -9.325873e-09
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -5.939693e-03 6.092904e-02 -6.657938e-02 -0.004185541 -1.109390e-02
  > 5 -1.919576e-02 1.100620e-01 4.370948e-01 -0.076259832 3.039791e-02
  > 10 -8.326673e-06 4.577502e-05 8.881784e-05 0.001260797 -1.110223e-05
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 2.520206e-03 -6.278311e-02 0.067146289 0.002819966 0.012226331
  > 5 -7.005507e-03 -1.036837e-01 -0.151467727 0.056722682 -0.018451907
  > 10 -4.163336e-05 -3.580036e-05 -0.000865974 -0.001348227 -0.000288658
  3242,3252c3242,3252
  < 1 -0.07200764 0.1533672812 -0.0170856543 0.1021475980 -0.015234437
  < 5 0.01706428 0.2706950978 -0.1170210612 0.2281052242 -0.069036460
  < 10 -0.00124792 0.0009130557 0.0002325341 0.0008654111 0.001253532
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.061151084 -0.008071321 0.0004714978 -0.007849277 0.0010769163
  < 5 -0.008759660 0.110345066 0.0061395333 -0.240973907 -0.0482391904
  < 10 0.002096934 -0.004262129 -0.0001110223 -0.004054396 -0.0008437695
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.055810911 0.003652634 -0.0003216177 0.003463896 -0.0001915135
  < 5 -0.003397282 -0.245931053 -0.0056954441 0.358363339 0.0934585742
  < 10 -0.006990242 0.003676399 0.0010103030 0.003502060 0.0015432100
  ---
  > 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 0.0105397590
  < 5 0.0175774627 2.395467e-02 0.0058390018 -2.629045e-02 0.0428897486
  < 10 -0.0001510784 -2.604071e-07 -0.0007398903 4.714826e-06 -0.0005445023
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -4.020118e-02 2.872147e-02 1.432188e-03 1.842970e-03 -2.221834e-02
  < 5 -3.408385e-03 2.529921e-01 4.551914e-04 3.924638e-02 -1.928124e-01
  < 10 -2.359224e-05 3.122502e-06 -2.220446e-05 4.718448e-05 4.440892e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0485944618 -3.110845e-02 -0.0018367252 -2.575717e-03 0.0221656027
  < 5 0.0003774758 -4.369505e-01 0.0003219647 -5.010159e-02 0.3472000465
  < 10 -0.0000589806 -4.250073e-06 -0.0009103829 -7.979728e-05 -0.0005995204
  ---
  > 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
  3272,3282c3272,3282
  < 1 3.554540e-03 1.880437e-02 0.0388084382 -2.344463e-02 0.003942352
  < 5 3.026623e-02 -7.184590e-02 -0.2656266704 -1.938076e-01 -0.041997050
  < 10 -1.186673e-05 -4.985485e-06 -0.0004924702 -2.991087e-06 -0.002234392
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0025424107 -1.361133e-02 -0.0000520417 -1.210143e-03 0.0001054712
  < 5 0.0004440892 3.044787e-02 0.0267341704 5.348499e-03 0.0070277117
  < 10 0.0002116363 -5.039372e-05 0.0021205260 -6.938894e-06 -0.0059841021
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0031197267 0.0135669254 3.885781e-05 1.221245e-04 0.0001831868
  < 5 -0.0021649349 -0.0250965915 -2.184919e-02 -4.540812e-03 -0.0061062266
  < 10 0.0001415534 0.0000254137 -5.995204e-04 -7.632783e-05 0.0042188475
  ---
  > 1 3.554540e-03 1.880437e-02 3.880844e-02 -2.344463e-02 3.942352e-03
  > 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
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 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
  3287,3297c3287,3297
  < 1 -0.0049876459 -3.289511e-03 -0.013860934 4.270861e-03 -0.0174903268
  < 5 0.0034557271 -6.116294e-04 -0.013952578 6.473313e-02 -0.0109850992
  < 10 0.0001767612 4.027213e-07 0.000145866 2.991080e-06 0.0001550853
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -2.997602e-04 1.640910e-02 0.0400068867 6.217249e-03 3.003431e-02
  < 5 1.654232e-03 2.275957e-04 0.0010991208 -5.841994e-02 6.439294e-04
  < 10 -7.147061e-05 -7.112366e-06 0.0001776357 -6.869505e-05 8.881784e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 1.110223e-03 -1.694200e-02 -4.541402e-02 -5.928591e-03 -0.0334537953
  < 5 -6.439294e-04 -4.440892e-05 -4.662937e-04 6.053213e-02 -0.0004107825
  < 10 -2.012279e-05 -2.515349e-06 2.220446e-05 5.273559e-05 0.0003552714
  ---
  > 1 -4.987646e-03 -3.289511e-03 -1.386093e-02 4.270861e-03 -1.749033e-02
  > 5 -3.516233e-02 1.322411e-01 7.085097e-01 -3.016666e-01 -2.061469e-01
  > 10 2.193801e-07 -3.040537e-09 3.419265e-06 2.991080e-06 3.415268e-06
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 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 0.016362166 -0.0420913450 0.0877820318
  < 5 0.0131219799 -6.481625e-02 -0.004527682 -0.0542621665 0.3727697584
  < 10 -0.0001958608 -2.886844e-06 -0.001114181 -0.0003593979 -0.0007039133
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -5.712097e-02 -2.942091e-03 -0.0050095345 0.086497476 -0.066927019
  < 5 -7.294165e-03 -6.484258e-02 0.0015765167 0.307698311 -0.031596947
  < 10 -1.110223e-05 1.335737e-05 0.0002997602 0.001625089 -0.001476597
  < 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 0.0043066245 -0.06308287 0.044406145
  < 5 0.0001998401 1.231237e-01 0.0019317881 -0.41853188 0.036193271
  < 10 0.0005051515 -1.708703e-05 -0.0006661338 -0.00218020 0.001010303
  ---
  > 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
  3413,3457c3413,3457
  < 1: d_y1_d_x1 0.3866597 0.5504128 0.702 0.482
  < 1: d_y2_d_x1 -0.0869829 0.4416170 -0.197 0.844
  < 1: d_y3_d_x1 0.1363019 0.5874683 0.232 0.817
  < 1: d_y4_d_x1 -0.3671209 0.8391990 -0.437 0.662
  < 1: d_y5_d_x1 -0.1065561 0.3551822 -0.300 0.764
  < 1: d_y1_d_x2 -0.4947101 0.5395011 -0.917 0.359
  < 1: d_y2_d_x2 0.0647527 0.3332436 0.194 0.846
  < 1: d_y3_d_x2 -0.0794619 0.3063275 -0.259 0.795
  < 1: d_y4_d_x2 0.0974803 0.3724296 0.262 0.794
  < 1: d_y5_d_x2 -0.2317200 0.3163340 -0.733 0.464
  < 1: d_y1_d_x3 -0.4766197 0.5102559 -0.934 0.350
  < 1: d_y2_d_x3 -0.0502785 0.3830802 -0.131 0.896
  < 1: d_y3_d_x3 0.0766180 0.3375836 0.227 0.820
  < 1: d_y4_d_x3 -0.0365310 0.2706097 -0.135 0.893
  < 1: d_y5_d_x3 0.3439783 0.6872179 0.501 0.617
  < 2: d_y1_d_x1 0.0872088 0.3579433 0.244 0.808
  < 2: d_y2_d_x1 -0.1645432 0.4973437 -0.331 0.741
  < 2: d_y3_d_x1 0.0428942 0.3990966 0.107 0.914
  < 2: d_y4_d_x1 -0.5147390 0.5819263 -0.885 0.376
  < 2: d_y5_d_x1 -0.1484177 0.5702153 -0.260 0.795
  < 2: d_y1_d_x2 -0.0108274 0.1199826 -0.090 0.928
  < 2: d_y2_d_x2 0.2743781 0.4858421 0.565 0.572
  < 2: d_y3_d_x2 -0.0006287 0.0308967 -0.020 0.984
  < 2: d_y4_d_x2 0.2036307 0.5830874 0.349 0.727
  < 2: d_y5_d_x2 -0.3347576 0.4401633 -0.761 0.447
  < 2: d_y1_d_x3 -0.0065804 0.0780405 -0.084 0.933
  < 2: d_y2_d_x3 -0.5189332 0.9408939 -0.552 0.581
  < 2: d_y3_d_x3 0.0010228 0.0251928 0.041 0.968
  < 2: d_y4_d_x3 -0.2494990 0.8228510 -0.303 0.762
  < 2: d_y5_d_x3 0.5419625 0.7025143 0.771 0.440
  < 3: d_y1_d_x1 0.1512931 0.4172429 0.363 0.717
  < 3: d_y2_d_x1 -0.0046732 0.0251901 -0.186 0.853
  < 3: d_y3_d_x1 0.0262322 0.0993189 0.264 0.792
  < 3: d_y4_d_x1 -0.0506580 0.1817407 -0.279 0.780
  < 3: d_y5_d_x1 -0.0090324 0.0466025 -0.194 0.846
  < 3: d_y1_d_x2 -0.0882572 0.3159707 -0.279 0.780
  < 3: d_y2_d_x2 0.0106005 0.0502294 0.211 0.833
  < 3: d_y3_d_x2 -0.0862048 0.2716841 -0.317 0.751
  < 3: d_y4_d_x2 0.0780616 0.2174810 0.359 0.720
  < 3: d_y5_d_x2 -0.0047180 0.0221061 -0.213 0.831
  < 3: d_y1_d_x3 -0.0973256 0.2961567 -0.329 0.742
  < 3: d_y2_d_x3 -0.0145293 0.0707790 -0.205 0.837
  < 3: d_y3_d_x3 0.0570375 0.1495132 0.381 0.703
  < 3: d_y4_d_x3 -0.0703260 0.1836199 -0.383 0.702
  < 3: d_y5_d_x3 0.0072767 0.0307631 0.237 0.813
  ---
  > 1: d_y1_d_x1 3.867e-01 5.504e-01 0.702 0.482
  > 1: d_y2_d_x1 -8.698e-02 4.416e-01 -0.197 0.844
  > 1: d_y3_d_x1 1.363e-01 5.875e-01 0.232 0.817
  > 1: d_y4_d_x1 -3.671e-01 8.392e-01 -0.437 0.662
  > 1: d_y5_d_x1 -1.066e-01 3.552e-01 -0.300 0.764
  > 1: d_y1_d_x2 -4.947e-01 5.398e-01 -0.916 0.359
  > 1: d_y2_d_x2 6.475e-02 3.332e-01 0.194 0.846
  > 1: d_y3_d_x2 -7.946e-02 3.063e-01 -0.259 0.795
  > 1: d_y4_d_x2 9.748e-02 3.723e-01 0.262 0.793
  > 1: d_y5_d_x2 -2.317e-01 3.162e-01 -0.733 0.464
  > 1: d_y1_d_x3 -4.766e-01 5.100e-01 -0.935 0.350
  > 1: d_y2_d_x3 -5.028e-02 3.827e-01 -0.131 0.895
  > 1: d_y3_d_x3 7.662e-02 3.376e-01 0.227 0.820
  > 1: d_y4_d_x3 -3.653e-02 2.708e-01 -0.135 0.893
  > 1: d_y5_d_x3 3.440e-01 6.872e-01 0.501 0.617
  > 2: d_y1_d_x1 2.351e-02 3.075e-01 0.076 0.939
  > 2: d_y2_d_x1 -1.039e-01 5.413e-01 -0.192 0.848
  > 2: d_y3_d_x1 2.578e-01 1.068e+00 0.241 0.809
  > 2: d_y4_d_x1 -3.863e-01 9.212e-01 -0.419 0.675
  > 2: d_y5_d_x1 -3.806e-02 5.274e-01 -0.072 0.942
  > 2: d_y1_d_x2 -4.817e-03 7.495e-02 -0.064 0.949
  > 2: d_y2_d_x2 1.773e-01 4.252e-01 0.417 0.677
  > 2: d_y3_d_x2 -2.179e-01 8.920e-01 -0.244 0.807
  > 2: d_y4_d_x2 1.357e-01 4.096e-01 0.331 0.740
  > 2: d_y5_d_x2 -3.396e-01 6.374e-01 -0.533 0.594
  > 2: d_y1_d_x3 -2.496e-03 5.995e-02 -0.042 0.967
  > 2: d_y2_d_x3 -3.212e-01 8.305e-01 -0.387 0.699
  > 2: d_y3_d_x3 1.453e-01 5.681e-01 0.256 0.798
  > 2: d_y4_d_x3 -1.971e-01 5.979e-01 -0.330 0.742
  > 2: d_y5_d_x3 5.112e-01 1.008e+00 0.507 0.612
  > 3: d_y1_d_x1 5.224e-01 7.915e-01 0.660 0.509
  > 3: d_y2_d_x1 -1.559e-03 2.244e-02 -0.069 0.945
  > 3: d_y3_d_x1 -8.811e-05 9.904e-04 -0.089 0.929
  > 3: d_y4_d_x1 -5.066e-02 1.817e-01 -0.279 0.780
  > 3: d_y5_d_x1 -4.324e-03 5.883e-02 -0.074 0.941
  > 3: d_y1_d_x2 -4.062e-01 1.255e+00 -0.324 0.746
  > 3: d_y2_d_x2 6.340e-03 6.814e-02 0.093 0.926
  > 3: d_y3_d_x2 1.769e-04 4.106e-03 0.043 0.966
  > 3: d_y4_d_x2 7.806e-02 2.175e-01 0.359 0.720
  > 3: d_y5_d_x2 -2.741e-03 2.286e-02 -0.120 0.905
  > 3: d_y1_d_x3 -3.397e-01 5.885e-01 -0.577 0.564
  > 3: d_y2_d_x3 -4.737e-03 6.182e-02 -0.077 0.939
  > 3: d_y3_d_x3 -2.166e-04 5.456e-03 -0.040 0.968
  > 3: d_y4_d_x3 -7.033e-02 1.836e-01 -0.383 0.702
  > 3: d_y5_d_x3 4.095e-03 3.657e-02 0.112 0.911
  Running 'pmvnormWrapTest.R'
  Comparing 'pmvnormWrapTest.Rout' to 'pmvnormWrapTest.Rout.save' ... OK
  ** running tests for arch 'x64' OK
  Running 'mvProbitEst.R'
  Comparing 'mvProbitEst.Rout' to 'mvProbitEst.Rout.save' ...43c43
  < 1.28324 1.86926 -1.24423 -0.73195 1.09894 -1.56771 0.76996 -0.81486
  ---
  > 1.02508 1.30536 -1.02809 -0.78248 1.14318 -1.66938 0.58229 -0.69667
  45c45
  < 1.38354 0.84809 -0.01054 -0.10623
  ---
  > 1.23283 0.86322 0.36022 -0.08406
  56,67c56,67
  < b_1_0 1.28324 1.85726 0.691 0.4896
  < b_1_1 1.86926 3.89127 0.480 0.6310
  < b_1_2 -1.24423 1.67595 -0.742 0.4578
  < b_2_0 -0.73195 0.94983 -0.771 0.4409
  < b_2_1 1.09894 1.04063 1.056 0.2910
  < b_2_2 -1.56771 0.68509 -2.288 0.0221 *
  < b_3_0 0.76996 1.30619 0.589 0.5555
  < b_3_1 -0.81486 1.31052 -0.622 0.5341
  < b_3_2 1.38354 0.95034 1.456 0.1454
  < R_1_2 0.84809 115.27618 0.007 0.9941
  < R_1_3 -0.01054 5.14630 -0.002 0.9984
  < R_2_3 -0.10623 0.38673 -0.275 0.7836
  ---
  > b_1_0 1.02508 0.44548 2.301 0.0214 *
  > b_1_1 1.30536 0.73511 1.776 0.0758 .
  > b_1_2 -1.02809 0.68851 -1.493 0.1354
  > b_2_0 -0.78248 0.38798 -2.017 0.0437 *
  > b_2_1 1.14318 0.53026 2.156 0.0311 *
  > b_2_2 -1.66938 0.81308 -2.053 0.0401 *
  > b_3_0 0.58229 0.64107 0.908 0.3637
  > b_3_1 -0.69667 0.89818 -0.776 0.4380
  > b_3_2 1.23283 0.62452 1.974 0.0484 *
  > R_1_2 0.86322 18.60071 0.046 0.9630
  > R_1_3 0.36022 0.64712 0.557 0.5778
  > R_2_3 -0.08406 0.34909 -0.241 0.8097
  71c71
  < BHHH maximisation, 2 iterations
  ---
  > BHHH maximisation, 1 iterations
  73c73
  < Log-likelihood: -47.82034 on 12 Df
  ---
  > Log-likelihood: -56.90544 on 12 Df
  76c76
  < 'log Lik.' -47.82034 (df=12)
  ---
  > 'log Lik.' -56.90544 (df=12)
  98c98
  < 1.28324 1.86926 -1.24423 -0.73195 1.09894 -1.56771 0.76996 -0.81486
  ---
  > 1.02508 1.30536 -1.02809 -0.78248 1.14318 -1.66938 0.58229 -0.69667
  100c100
  < 1.38354 0.84809 -0.01054 -0.10623
  ---
  > 1.23283 0.86322 0.36022 -0.08406
  111,122c111,122
  < b_1_0 1.28324 1.85726 0.691 0.4896
  < b_1_1 1.86926 3.89131 0.480 0.6310
  < b_1_2 -1.24423 1.67595 -0.742 0.4578
  < b_2_0 -0.73195 0.94983 -0.771 0.4409
  < b_2_1 1.09894 1.04063 1.056 0.2910
  < b_2_2 -1.56771 0.68509 -2.288 0.0221 *
  < b_3_0 0.76996 1.30620 0.589 0.5555
  < b_3_1 -0.81486 1.31053 -0.622 0.5341
  < b_3_2 1.38354 0.95034 1.456 0.1454
  < R_1_2 0.84809 115.28100 0.007 0.9941
  < R_1_3 -0.01054 5.14629 -0.002 0.9984
  < R_2_3 -0.10623 0.38673 -0.275 0.7836
  ---
  > b_1_0 1.02508 0.44548 2.301 0.0214 *
  > b_1_1 1.30536 0.73511 1.776 0.0758 .
  > b_1_2 -1.02809 0.68851 -1.493 0.1354
  > b_2_0 -0.78248 0.38797 -2.017 0.0437 *
  > b_2_1 1.14318 0.53026 2.156 0.0311 *
  > b_2_2 -1.66938 0.81307 -2.053 0.0401 *
  > b_3_0 0.58229 0.64106 0.908 0.3637
  > b_3_1 -0.69667 0.89817 -0.776 0.4380
  > b_3_2 1.23283 0.62452 1.974 0.0484 *
  > R_1_2 0.86322 18.60041 0.046 0.9630
  > R_1_3 0.36022 0.64712 0.557 0.5778
  > R_2_3 -0.08406 0.34909 -0.241 0.8097
  126c126
  < BHHH maximisation, 2 iterations
  ---
  > BHHH maximisation, 1 iterations
  128c128
  < Log-likelihood: -47.82034 on 12 Df
  ---
  > Log-likelihood: -56.90544 on 12 Df
  131c131
  < 'log Lik.' -47.82034 (df=12)
  ---
  > 'log Lik.' -56.90544 (df=12)
  133,137c133,138
  < [1] "Component 2: Mean relative difference: 2.583861e-07"
  < [2] "Component 3: Mean relative difference: 2.338303e-06"
  < [3] "Component 4: Mean relative difference: 1.014323e-06"
  < [4] "Component 11: Mean relative difference: 5.502842e-07"
  < [5] "Component 12: target, current do not match when deparsed"
  ---
  > [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"
  > [6] "Component 12: target, current do not match when deparsed"
  152,155c153,156
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7680 1.2922 -0.8671 -0.8066 0.9229 -1.5913 0.4310 -0.5988 1.4376 0.2979
  < R_1_3 R_2_3
  < 0.3681 -0.1267
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53607 1.16101 -1.14212 -0.44952 1.05496 -1.57624 0.40751 -0.85400
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25958 0.29483 0.32822 -0.02382
  166,177c167,178
  < b_1_0 0.7680 1.0680 0.719 0.4720
  < b_1_1 1.2922 1.5950 0.810 0.4178
  < b_1_2 -0.8671 0.9762 -0.888 0.3744
  < b_2_0 -0.8066 0.6347 -1.271 0.2038
  < b_2_1 0.9229 0.7496 1.231 0.2182
  < b_2_2 -1.5913 0.6974 -2.282 0.0225 *
  < b_3_0 0.4310 0.8747 0.493 0.6222
  < b_3_1 -0.5988 0.9036 -0.663 0.5076
  < b_3_2 1.4376 0.8829 1.628 0.1035
  < R_1_2 0.2979 1.8910 0.158 0.8748
  < R_1_3 0.3681 1.4233 0.259 0.7959
  < R_2_3 -0.1267 0.4153 -0.305 0.7602
  ---
  > b_1_0 0.53607 0.82709 0.648 0.5169
  > b_1_1 1.16101 0.91515 1.269 0.2046
  > b_1_2 -1.14212 0.93847 -1.217 0.2236
  > b_2_0 -0.44952 0.79215 -0.567 0.5704
  > b_2_1 1.05496 0.88398 1.193 0.2327
  > b_2_2 -1.57624 0.73187 -2.154 0.0313 *
  > b_3_0 0.40751 0.48897 0.833 0.4046
  > b_3_1 -0.85400 0.84871 -1.006 0.3143
  > b_3_2 1.25958 0.68040 1.851 0.0641 .
  > R_1_2 0.29483 1.85817 0.159 0.8739
  > R_1_3 0.32822 0.70923 0.463 0.6435
  > R_2_3 -0.02382 0.34466 -0.069 0.9449
  183c184
  < Log-likelihood: -46.91322 on 12 Df
  ---
  > Log-likelihood: -52.94456 on 12 Df
  186c187
  < 'log Lik.' -46.91322 (df=12)
  ---
  > 'log Lik.' -52.94456 (df=12)
  201,204c202,205
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7680 1.2922 -0.8671 -0.8066 0.9229 -1.5913 0.4310 -0.5988 1.4376 0.2979
  < R_1_3 R_2_3
  < 0.3681 -0.1267
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53607 1.16101 -1.14213 -0.44952 1.05496 -1.57624 0.40751 -0.85400
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25958 0.29483 0.32822 -0.02382
  215,226c216,227
  < b_1_0 0.7680 1.0680 0.719 0.4720
  < b_1_1 1.2922 1.5950 0.810 0.4178
  < b_1_2 -0.8671 0.9762 -0.888 0.3744
  < b_2_0 -0.8066 0.6347 -1.271 0.2038
  < b_2_1 0.9229 0.7496 1.231 0.2182
  < b_2_2 -1.5913 0.6974 -2.282 0.0225 *
  < b_3_0 0.4310 0.8747 0.493 0.6222
  < b_3_1 -0.5988 0.9036 -0.663 0.5076
  < b_3_2 1.4376 0.8829 1.628 0.1035
  < R_1_2 0.2979 1.8910 0.158 0.8748
  < R_1_3 0.3681 1.4233 0.259 0.7959
  < R_2_3 -0.1267 0.4153 -0.305 0.7602
  ---
  > b_1_0 0.53607 0.82709 0.648 0.5169
  > b_1_1 1.16101 0.91515 1.269 0.2046
  > b_1_2 -1.14213 0.93847 -1.217 0.2236
  > b_2_0 -0.44952 0.79215 -0.567 0.5704
  > b_2_1 1.05496 0.88398 1.193 0.2327
  > b_2_2 -1.57624 0.73187 -2.154 0.0313 *
  > b_3_0 0.40751 0.48897 0.833 0.4046
  > b_3_1 -0.85400 0.84871 -1.006 0.3143
  > b_3_2 1.25958 0.68040 1.851 0.0641 .
  > R_1_2 0.29483 1.85817 0.159 0.8739
  > R_1_3 0.32822 0.70923 0.463 0.6435
  > R_2_3 -0.02382 0.34466 -0.069 0.9449
  232c233
  < Log-likelihood: -46.91322 on 12 Df
  ---
  > Log-likelihood: -52.94456 on 12 Df
  235c236
  < 'log Lik.' -46.91322 (df=12)
  ---
  > 'log Lik.' -52.94456 (df=12)
  237,240c238,241
  < [1] "Component 2: Mean relative difference: 2.202978e-07"
  < [2] "Component 3: Mean relative difference: 9.774405e-07"
  < [3] "Component 4: Mean relative difference: 5.204466e-07"
  < [4] "Component 12: Mean relative difference: 2.467509e-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"
  247,248d247
  < Warning message:
  < glm.fit: fitted probabilities numerically 0 or 1 occurred
  258c257
  < 0.63486 6.33665 -1.02183 -1.03442 1.26699 -1.75137 0.40209 -0.38566
  ---
  > 0.79353 1.88367 -1.74922 -0.40036 0.91577 -1.52106 0.97790 -1.69433
  260c259
  < 2.92075 0.66163 -0.04717 -0.30511
  ---
  > 1.57625 0.75270 0.23721 -0.03453
  271,282c270,283
  < b_1_0 0.63486 Inf 0 1
  < b_1_1 6.33665 Inf 0 1
  < b_1_2 -1.02183 Inf 0 1
  < b_2_0 -1.03442 Inf 0 1
  < b_2_1 1.26699 Inf 0 1
  < b_2_2 -1.75137 Inf 0 1
  < b_3_0 0.40209 Inf 0 1
  < b_3_1 -0.38566 Inf 0 1
  < b_3_2 2.92075 Inf 0 1
  < R_1_2 0.66163 Inf 0 1
  < R_1_3 -0.04717 Inf 0 1
  < R_2_3 -0.30511 Inf 0 1
  ---
  > b_1_0 0.79353 0.90412 0.878 0.3801
  > b_1_1 1.88367 0.90668 2.078 0.0378 *
  > b_1_2 -1.74922 0.97400 -1.796 0.0725 .
  > b_2_0 -0.40036 0.69056 -0.580 0.5621
  > b_2_1 0.91577 0.97998 0.934 0.3501
  > b_2_2 -1.52106 0.72006 -2.112 0.0347 *
  > b_3_0 0.97790 0.64497 1.516 0.1295
  > b_3_1 -1.69433 0.94788 -1.787 0.0739 .
  > b_3_2 1.57625 0.73399 2.148 0.0318 *
  > R_1_2 0.75270 4.32729 0.174 0.8619
  > R_1_3 0.23721 0.90535 0.262 0.7933
  > R_2_3 -0.03453 0.35889 -0.096 0.9234
  > ---
  > Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
  286c287
  < Log-likelihood: -41.60614 on 12 Df
  ---
  > Log-likelihood: -49.36404 on 12 Df
  289c290
  < 'log Lik.' -41.60614 (df=12)
  ---
  > 'log Lik.' -49.36404 (df=12)
  295,296d295
  < Warning message:
  < glm.fit: fitted probabilities numerically 0 or 1 occurred
  306c305
  < 0.6298 6.3366 -1.0519 -1.0442 1.2679 -1.7561 0.2701 -0.3906 2.9237 0.6858
  ---
  > 0.8110 1.9060 -1.7627 -0.3770 0.9441 -1.5332 0.9372 -1.7498 1.6024 0.6817
  308c307
  < 0.3067 -0.2714
  ---
  > 0.4044 0.1663
  319,330c318,331
  < b_1_0 0.6298 Inf 0 1
  < b_1_1 6.3366 Inf 0 1
  < b_1_2 -1.0519 Inf 0 1
  < b_2_0 -1.0442 Inf 0 1
  < b_2_1 1.2679 Inf 0 1
  < b_2_2 -1.7561 Inf 0 1
  < b_3_0 0.2701 Inf 0 1
  < b_3_1 -0.3906 Inf 0 1
  < b_3_2 2.9237 Inf 0 1
  < R_1_2 0.6858 Inf 0 1
  < R_1_3 0.3067 Inf 0 1
  < R_2_3 -0.2714 Inf 0 1
  ---
  > b_1_0 0.8110 0.9297 0.872 0.3830
  > b_1_1 1.9060 0.9160 2.081 0.0375 *
  > b_1_2 -1.7627 1.0131 -1.740 0.0819 .
  > b_2_0 -0.3770 0.7049 -0.535 0.5928
  > b_2_1 0.9441 1.0345 0.913 0.3615
  > b_2_2 -1.5332 0.7517 -2.040 0.0414 *
  > b_3_0 0.9372 0.6291 1.490 0.1363
  > b_3_1 -1.7498 0.9996 -1.751 0.0800 .
  > b_3_2 1.6024 0.7848 2.042 0.0412 *
  > R_1_2 0.6817 3.4094 0.200 0.8415
  > R_1_3 0.4044 0.8024 0.504 0.6143
  > R_2_3 0.1663 0.3389 0.491 0.6235
  > ---
  > Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
  334c335
  < Log-likelihood: -41.69106 on 12 Df
  ---
  > Log-likelihood: -49.57444 on 12 Df
  337c338
  < 'log Lik.' -41.69106 (df=12)
  ---
  > 'log Lik.' -49.57444 (df=12)
  352c353
  < 0.77685 1.29789 -0.83095 -0.80206 0.92413 -1.59399 0.45314 -0.58169
  ---
  > 0.55814 1.14958 -1.12747 -0.44426 1.07325 -1.57226 0.37255 -0.85470
  354c355
  < 1.44406 0.25677 -0.02347 -0.09887
  ---
  > 1.23011 0.34981 -0.01177 0.09435
  365,376c366,377
  < b_1_0 0.77685 1.13080 0.687 0.4921
  < b_1_1 1.29789 1.68761 0.769 0.4419
  < b_1_2 -0.83095 0.99540 -0.835 0.4038
  < b_2_0 -0.80206 0.64154 -1.250 0.2112
  < b_2_1 0.92413 0.75283 1.228 0.2196
  < b_2_2 -1.59399 0.69673 -2.288 0.0221 *
  < b_3_0 0.45314 0.92763 0.488 0.6252
  < b_3_1 -0.58169 0.95090 -0.612 0.5407
  < b_3_2 1.44406 0.95394 1.514 0.1301
  < R_1_2 0.25677 2.28017 0.113 0.9103
  < R_1_3 -0.02347 2.15002 -0.011 0.9913
  < R_2_3 -0.09887 0.40753 -0.243 0.8083
  ---
  > b_1_0 0.55814 0.86615 0.644 0.5193
  > b_1_1 1.14958 0.90607 1.269 0.2045
  > b_1_2 -1.12747 0.94191 -1.197 0.2313
  > b_2_0 -0.44426 0.85526 -0.519 0.6035
  > b_2_1 1.07325 0.99314 1.081 0.2798
  > b_2_2 -1.57226 0.78557 -2.001 0.0453 *
  > b_3_0 0.37255 0.56172 0.663 0.5072
  > b_3_1 -0.85470 0.95214 -0.898 0.3694
  > b_3_2 1.23011 0.71506 1.720 0.0854 .
  > R_1_2 0.34981 2.02289 0.173 0.8627
  > R_1_3 -0.01177 0.70776 -0.017 0.9867
  > R_2_3 0.09435 0.33920 0.278 0.7809
  382c383
  < Log-likelihood: -46.88256 on 12 Df
  ---
  > Log-likelihood: -52.78274 on 12 Df
  385c386
  < 'log Lik.' -46.88256 (df=12)
  ---
  > 'log Lik.' -52.78274 (df=12)
  391a393
  > There were 13 warnings (use warnings() to see them)
  400,403c402,405
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7680 1.2922 -0.8671 -0.8066 0.9229 -1.5913 0.4310 -0.5988 1.4376 0.2980
  < R_1_3 R_2_3
  < 0.3681 -0.1268
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53609 1.16102 -1.14213 -0.44952 1.05496 -1.57624 0.40753 -0.85400
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25960 0.29491 0.32819 -0.02386
  414,425c416,427
  < b_1_0 0.7680 1.0681 0.719 0.4721
  < b_1_1 1.2922 1.5950 0.810 0.4178
  < b_1_2 -0.8671 0.9760 -0.888 0.3743
  < b_2_0 -0.8066 0.6347 -1.271 0.2037
  < b_2_1 0.9229 0.7496 1.231 0.2182
  < b_2_2 -1.5913 0.6974 -2.282 0.0225 *
  < b_3_0 0.4310 0.8746 0.493 0.6221
  < b_3_1 -0.5988 0.9040 -0.662 0.5077
  < b_3_2 1.4376 0.8829 1.628 0.1035
  < R_1_2 0.2980 1.8908 0.158 0.8748
  < R_1_3 0.3681 1.4238 0.259 0.7960
  < R_2_3 -0.1268 0.4152 -0.305 0.7600
  ---
  > b_1_0 0.53609 0.82702 0.648 0.5168
  > b_1_1 1.16102 0.91511 1.269 0.2045
  > b_1_2 -1.14213 0.93837 -1.217 0.2235
  > b_2_0 -0.44952 0.79215 -0.567 0.5704
  > b_2_1 1.05496 0.88386 1.194 0.2326
  > b_2_2 -1.57624 0.73173 -2.154 0.0312 *
  > b_3_0 0.40753 0.48894 0.834 0.4046
  > b_3_1 -0.85400 0.84860 -1.006 0.3142
  > b_3_2 1.25960 0.68024 1.852 0.0641 .
  > R_1_2 0.29491 1.85789 0.159 0.8739
  > R_1_3 0.32819 0.70903 0.463 0.6435
  > R_2_3 -0.02386 0.34468 -0.069 0.9448
  431c433
  < Log-likelihood: -46.90901 on 12 Df
  ---
  > Log-likelihood: -52.94417 on 12 Df
  434c436
  < 'log Lik.' -46.90901 (df=12)
  ---
  > 'log Lik.' -52.94417 (df=12)
  436,440c438,442
  < [1] "Component 1: Mean relative difference: 8.958709e-05"
  < [2] "Component 2: Mean relative difference: 3.318311e-05"
  < [3] "Component 3: Mean relative difference: 0.002103888"
  < [4] "Component 4: Mean relative difference: 0.0003712327"
  < [5] "Component 12: Mean relative difference: 0.0002835788"
  ---
  > [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"
  > [4] "Component 4: Mean relative difference: 0.0001779414"
  > [5] "Component 12: Mean relative difference: 0.000115282"
  457,460c459,462
  < b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1 b_3_2 R_1_2
  < 0.7682 1.2924 -0.8667 -0.8091 0.9213 -1.5907 0.4270 -0.6014 1.4382 0.2955
  < R_1_3 R_2_3
  < 0.3671 -0.1238
  ---
  > b_1_0 b_1_1 b_1_2 b_2_0 b_2_1 b_2_2 b_3_0 b_3_1
  > 0.53597 1.16071 -1.14239 -0.45176 1.05313 -1.57570 0.40385 -0.85710
  > b_3_2 R_1_2 R_1_3 R_2_3
  > 1.25977 0.29530 0.32495 -0.02085
  471,482c473,484
  < b_1_0 0.7682 1.0721 0.717 0.4737
  < b_1_1 1.2924 1.5984 0.809 0.4188
  < b_1_2 -0.8667 0.9796 -0.885 0.3763
  < b_2_0 -0.8091 0.6341 -1.276 0.2020
  < b_2_1 0.9213 0.7493 1.230 0.2189
  < b_2_2 -1.5907 0.7010 -2.269 0.0233 *
  < b_3_0 0.4270 0.8842 0.483 0.6291
  < b_3_1 -0.6014 0.9036 -0.666 0.5057
  < b_3_2 1.4382 0.8777 1.639 0.1013
  < R_1_2 0.2955 1.8735 0.158 0.8747
  < R_1_3 0.3671 1.4139 0.260 0.7952
  < R_2_3 -0.1238 0.4210 -0.294 0.7688
  ---
  > b_1_0 0.53597 0.82729 0.648 0.5171
  > b_1_1 1.16071 0.91440 1.269 0.2043
  > b_1_2 -1.14239 0.93839 -1.217 0.2235
  > b_2_0 -0.45176 0.80664 -0.560 0.5754
  > b_2_1 1.05313 0.86861 1.212 0.2253
  > b_2_2 -1.57570 0.70696 -2.229 0.0258 *
  > b_3_0 0.40385 0.48737 0.829 0.4073
  > b_3_1 -0.85710 0.84821 -1.010 0.3123
  > b_3_2 1.25977 0.67819 1.858 0.0632 .
  > R_1_2 0.29530 1.85491 0.159 0.8735
  > R_1_3 0.32495 0.70449 0.461 0.6446
  > R_2_3 -0.02085 0.34616 -0.060 0.9520
  488c490
  < Log-likelihood: -46.91439 on 12 Df
  ---
  > Log-likelihood: -52.93771 on 12 Df
  491c493
  < 'log Lik.' -46.91439 (df=12)
  ---
  > 'log Lik.' -52.93771 (df=12)
  493,497c495,499
  < [1] "Component 1: Mean relative difference: 2.502295e-05"
  < [2] "Component 2: Mean relative difference: 0.002009583"
  < [3] "Component 3: Mean relative difference: 0.01595176"
  < [4] "Component 4: Mean relative difference: 0.01626711"
  < [5] "Component 12: Mean relative difference: 0.008265827"
  ---
  > [1] "Component 1: Mean relative difference: 0.000129477"
  > [2] "Component 2: Mean relative difference: 0.00208213"
  > [3] "Component 3: Mean relative difference: 0.01734212"
  > [4] "Component 4: Mean relative difference: 0.01316397"
  > [5] "Component 12: Mean relative difference: 0.006852369"
  500,504c502,506
  < [1] "Component 1: Mean relative difference: 0.0001146203"
  < [2] "Component 2: Mean relative difference: 0.002039374"
  < [3] "Component 3: Mean relative difference: 0.01490118"
  < [4] "Component 4: Mean relative difference: 0.0162733"
  < [5] "Component 12: Mean relative difference: 0.008245329"
  ---
  > [1] "Component 1: Mean relative difference: 0.000122134"
  > [2] "Component 2: Mean relative difference: 0.002077232"
  > [3] "Component 3: Mean relative difference: 0.01738213"
  > [4] "Component 4: Mean relative difference: 0.01309901"
  > [5] "Component 12: Mean relative difference: 0.006838735"
  521c523
  < 0.80 1.20 -0.80 -0.60 1.00 -1.60 0.50 -0.60 1.36 0.20 0.40 -0.10
  ---
  > 0.80 1.20 -0.80 -0.44 1.00 -1.60 0.50 -0.60 1.20 0.20 0.40 -0.10
  532,543c534,545
  < b_1_0 0.8000 1.1545 0.693 0.4883
  < b_1_1 1.2000 1.6297 0.736 0.4615
  < b_1_2 -0.8000 0.9730 -0.822 0.4110
  < b_2_0 -0.6000 0.5911 -1.015 0.3101
  < b_2_1 1.0000 0.6943 1.440 0.1498
  < b_2_2 -1.6000 0.6923 -2.311 0.0208 *
  < b_3_0 0.5000 0.9002 0.555 0.5786
  < b_3_1 -0.6000 0.8996 -0.667 0.5048
  < b_3_2 1.3600 0.8588 1.584 0.1133
  < R_1_2 0.2000 1.6393 0.122 0.9029
  < R_1_3 0.4000 1.4058 0.285 0.7760
  < R_2_3 -0.1000 0.4035 -0.248 0.8043
  ---
  > b_1_0 0.8000 1.0541 0.759 0.4479
  > b_1_1 1.2000 0.7460 1.609 0.1077
  > b_1_2 -0.8000 0.9185 -0.871 0.3838
  > b_2_0 -0.4400 0.7968 -0.552 0.5808
  > b_2_1 1.0000 0.8707 1.149 0.2507
  > b_2_2 -1.6000 0.6578 -2.432 0.0150 *
  > b_3_0 0.5000 0.5151 0.971 0.3317
  > b_3_1 -0.6000 0.7708 -0.778 0.4363
  > b_3_2 1.2000 0.6109 1.964 0.0495 *
  > R_1_2 0.2000 2.4163 0.083 0.9340
  > R_1_3 0.4000 0.7321 0.546 0.5848
  > R_2_3 -0.1000 0.3416 -0.293 0.7697
  549c551
  < Log-likelihood: -48.51181 on 12 Df
  ---
  > Log-likelihood: -56.94782 on 12 Df
  552c554
  < 'log Lik.' -48.51181 (df=12)
  ---
  > 'log Lik.' -56.94782 (df=12)
  562c564
  < 'log Lik.' 0.000770049 (df=12)
  ---
  > 'log Lik.' -0.004270927 (df=12)
  570c572
  < 'log Lik.' 0.009170254 (df=12)
  ---
  > 'log Lik.' 0.01228506 (df=12)
  578c580
  < 'log Lik.' -0.003346021 (df=12)
  ---
  > 'log Lik.' -0.001091556 (df=12)
  586c588
  < 'log Lik.' -0.04206608 (df=12)
  ---
  > 'log Lik.' -0.1316356 (df=12)
  594c596
  < 'log Lik.' -0.006127337 (df=12)
  ---
  > 'log Lik.' -0.006403428 (df=12)
  601,651c603,704
  < 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 0.258872436 0.2739467762 -0.208895073 -0.297614247 -3.054124e-01 0.418057650
  < 2 0.195417286 0.3409786470 -0.234422670 -0.252626223 -4.751749e-01 0.531514777
  < 3 0.192373000 0.3430715025 -0.234799085 -0.038342606 -6.241304e-01 0.558614102
  < 4 0.471086247 0.0182040297 -0.027722853 -0.236175311 -7.581867e-02 0.113559312
  < 5 0.155540831 0.3555071875 -0.231144664 -0.027149710 -5.669601e-01 0.508047993
  < 6 0.479735537 0.0101714191 -0.017582799 -0.262004101 -4.540198e-02 0.075729645
  < 7 0.017057813 0.0437354563 -0.027964612 -0.001057149 -2.271095e-02 0.032643677
  < 8 0.336824035 0.1666264281 -0.148796793 -0.334309740 -1.404598e-01 0.255570327
  < 9 0.229002476 0.3100549298 -0.224656960 -0.278088468 -3.836269e-01 0.476416860
  < 10 0.250155094 0.2850722466 -0.214066152 -0.292218204 -3.276179e-01 0.435677408
  < 11 0.288661811 0.2336846380 -0.188377881 -0.077310586 -5.636374e-01 0.533966418
  < 12 0.108093068 0.3229793513 -0.198721014 -0.015358299 -4.174412e-01 0.385991289
  < 13 0.135861080 0.3499146703 -0.221971492 -0.021908447 -5.151003e-01 0.465266216
  < 14 0.047726296 0.1665696808 -0.099405508 -0.004546265 -1.403899e-01 0.151409703
  < 15 0.043419629 0.1501025934 -0.089782866 -0.081915598 -4.238270e-01 0.309817635
  < 16 0.270668235 0.2583367708 -0.201254970 -0.068814518 -5.935719e-01 0.553191751
  < 17 0.304893340 0.2110071227 -0.175726234 -0.085540004 -5.312482e-01 0.511943556
  < 18 0.213134902 0.3262818875 -0.230476867 -0.266525088 -4.268698e-01 0.504284349
  < 19 0.408887595 0.0768231204 -0.083947975 -0.156273715 -2.547730e-01 0.293308707
  < 20 0.454937659 0.0008038804 -0.002358345 -0.207808093 -1.612296e-04 0.001907545
  < 21 0.109821803 0.3253946092 -0.200552787 -0.169627319 -6.346478e-01 0.552244723
  < 22 0.002776706 0.0019901082 -0.001691024 -0.007456803 -1.038715e-02 0.008844755
  < 23 0.424042403 0.0608459778 -0.070345275 -0.344039786 -3.503567e-02 0.098546008
  < 24 0.079605534 0.2671588178 -0.160538050 -0.132938866 -6.027849e-01 0.482314537
  < 25 0.082248936 0.2736706154 -0.164734597 -0.136337299 -6.090189e-01 0.490812210
  < 26 0.427438051 0.0574266112 -0.067313106 -0.343374291 -3.245646e-02 0.093373406
  < 27 0.144542771 0.3536141779 -0.226709764 -0.024158698 -5.398146e-01 0.485519510
  < 28 0.032981896 0.1082366191 -0.065512697 -0.002672614 -7.623839e-02 0.090333269
  < 29 0.242138476 0.2949157585 -0.218425404 -0.287035683 -3.485325e-01 0.451503092
  < 30 0.172543271 0.3529994694 -0.234829709 -0.032087723 -5.997339e-01 0.536070879
  < 31 0.202794120 0.3353566851 -0.233133014 -0.041851138 -6.312155e-01 0.566260012
  < 32 0.289997837 0.2318277204 -0.187370278 -0.314819204 -2.317307e-01 0.353109180
  < 33 0.129367275 0.3457667959 -0.217672229 -0.020288602 -4.947488e-01 0.448692269
  < 34 0.350491026 0.1481781349 -0.136720494 -0.112038609 -4.199626e-01 0.430117696
  < 35 0.156547965 0.3555348174 -0.231467209 -0.027431519 -5.692121e-01 0.509936988
  < 36 0.277336919 0.2492937918 -0.196641686 -0.071890072 -5.832764e-01 0.546738928
  < 37 0.438932012 0.0462905286 -0.057083045 -0.186972624 -1.684083e-01 0.212536041
  < 38 0.301812775 0.2153237399 -0.178192135 -0.320486214 -2.063727e-01 0.328176861
  < 39 0.137144942 0.3505916785 -0.222743785 -0.199187935 -6.090681e-01 0.573103436
  < 40 0.446570930 0.0392561225 -0.050293091 -0.337026772 -1.973568e-02 0.065585975
  < 41 0.421906917 0.0630266801 -0.072255050 -0.344400171 -3.670972e-02 0.101837552
  < 42 0.328426233 0.1781713962 -0.156083069 -0.331416057 -1.549907e-01 0.272690778
  < 43 0.255462967 0.2783452247 -0.210968441 -0.295533553 -3.140256e-01 0.424993513
  < 44 0.090084033 0.2913294479 -0.176376026 -0.011634410 -3.407606e-01 0.323391154
  < 45 0.470435333 0.0187548421 -0.028374537 -0.234751830 -7.781585e-02 0.115911578
  < 46 0.093857564 0.2989732354 -0.181561402 -0.150815776 -6.278794e-01 0.522434967
  < 47 0.435470146 0.0003744474 -0.001282157 -0.182984455 -6.473367e-05 0.000960626
  < 48 0.480273895 0.0095150434 -0.016685822 -0.295568990 -3.276315e-03 0.017852505
  < 49 0.153658158 0.3553919845 -0.230504901 -0.026626489 -5.626451e-01 0.504438752
  < 50 0.047071212 0.1641021118 -0.097959552 -0.087504177 -4.510703e-01 0.332366710
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 1 0.3229491571 0.3836676992 -0.316955571 -0.441979915 -0.4386127078
  > 2 0.2429445848 0.3993797590 -0.330144619 -0.387614512 -0.5794260400
  > 3 0.2388601819 0.3982789455 -0.329783586 -0.099223749 -0.5013923968
  > 4 0.4010839953 0.0557836102 -0.084205830 -0.451571736 -0.1886322555
  > 5 0.1883227203 0.3691077222 -0.316570405 -0.067411731 -0.3961556791
  > 6 0.3702088341 0.0348830182 -0.061413065 -0.455364197 -0.1278614688
  > 7 0.0103207595 0.0220458595 -0.053123552 -0.001122225 -0.0060669426
  > 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
  > 15 0.0374442582 0.0966390781 -0.136761212 -0.096792632 -0.2915498517
  > 16 0.3364458707 0.3738145586 -0.310770786 -0.183076398 -0.6237777822
  > 17 0.3723866025 0.3359155655 -0.287500211 -0.225743149 -0.6256260658
  > 18 0.2663398659 0.4021325788 -0.330275056 -0.406929888 -0.5455404372
  > 19 0.4376429542 0.1696359686 -0.178946449 -0.370373203 -0.4388108527
  > 20 0.2241585805 0.0042036728 -0.014953502 -0.089300446 -0.0007183302
  > 21 0.1243685670 0.2889115851 -0.273009380 -0.249665699 -0.5965848232
  > 22 0.0007459368 0.0006997555 -0.005794037 -0.002963512 -0.0038764260
  > 23 0.4382229462 0.1426446471 -0.158983664 -0.377686061 -0.0793317558
  > 24 0.0830536061 0.2095390165 -0.223402595 -0.184151430 -0.5029618391
  > 25 0.0865903765 0.2172089609 -0.228508578 -0.190194230 -0.5140300922
  > 26 0.4378382911 0.1365702837 -0.154340785 -0.372385737 -0.0744061887
  > 27 0.1729600304 0.3543882323 -0.309111596 -0.058957089 -0.3607121360
  > 28 0.0257893979 0.0644472362 -0.105597216 -0.003833087 -0.0256483436
  > 29 0.3029664390 0.3943070185 -0.323906809 -0.431637730 -0.4798749185
  > 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
  > 33 0.1516902826 0.3293284563 -0.295806452 -0.048116319 -0.3098804128
  > 34 0.4109693775 0.2693770277 -0.246106417 -0.287100465 -0.5780744977
  > 35 0.1897254894 0.3703130155 -0.317166727 -0.068210588 -0.3993266523
  > 36 0.3438409908 0.3674584553 -0.306835661 -0.191130998 -0.6266939812
  > 37 0.4348121020 0.1159357570 -0.138075145 -0.412808406 -0.3345517685
  > 38 0.3693685444 0.3398244946 -0.289893267 -0.455294843 -0.3300385705
  > 39 0.1625954940 0.3428642991 -0.303078714 -0.301623340 -0.6275330281
  > 40 0.4310083028 0.1021309737 -0.126696301 -0.337178116 -0.0488785748
  > 41 0.4383602628 0.1464601355 -0.161869641 -0.380895849 -0.0824913410
  > 42 0.3938189786 0.3033933329 -0.267470489 -0.453789429 -0.2652455676
  > 43 0.3189542362 0.3861651946 -0.318550501 -0.440105656 -0.4471386008
  > 44 0.0971786805 0.2391890488 -0.242745143 -0.024716381 -0.1761938531
  > 45 0.4025240934 0.0571278504 -0.085567351 -0.451004212 -0.1923211012
  > 46 0.1023270344 0.2493442534 -0.249136290 -0.216048167 -0.5558718553
  > 47 0.1866549090 0.0021906375 -0.009700155 -0.066467854 -0.0003164631
  > 48 0.3664195841 0.0330393066 -0.059215375 -0.217972882 -0.0103701668
  > 49 0.1856983820 0.3667908424 -0.315417388 -0.065929410 -0.3901921733
  > 50 0.0417272238 0.1082331002 -0.146997339 -0.105894032 -0.3177684702
  > d_y3_d_x2
  > 1 0.385921457
  > 2 0.468985619
  > 3 0.443346687
  > 4 0.222238974
  > 5 0.384718603
  > 6 0.172171936
  > 7 0.028392575
  > 8 0.261220788
  > 9 0.428728212
  > 10 0.398908844
  > 11 0.502249044
  > 12 0.280689477
  > 13 0.345312727
  > 14 0.112624216
  > 15 0.322287902
  > 16 0.501467723
  > 17 0.499011308
  > 18 0.449048188
  > 19 0.389108071
  > 20 0.005756040
  > 21 0.491440700
  > 22 0.022018756
  > 23 0.123707351
  > 24 0.446573484
  > 25 0.452240875
  > 26 0.118602809
  > 27 0.363374398
  > 28 0.070196017
  > 29 0.410521296
  > 30 0.414264757
  > 31 0.456293194
  > 32 0.337325583
  > 33 0.331118108
  > 34 0.470092740
  > 35 0.386586180
  > 36 0.502296099
  > 37 0.324544502
  > 38 0.318287912
  > 39 0.502499069
  > 40 0.090013131
  > 41 0.126925752
  > 42 0.274927429
  > 43 0.391041960
  > 44 0.233697242
  > 45 0.225088604
  > 46 0.472883551
  > 47 0.003381937
  > 48 0.032673430
  > 49 0.381188131
  > 50 0.339567947
  656,660c709,713
  < 1 0.06664716 0.008244374 0.04488189 0.015058204 0.002145072 0.055927400
  < 2 0.07328418 0.006640480 0.06507966 0.002012335 -0.008363506 0.048222630
  < 3 0.07357358 0.006466104 0.06578741 -0.008824737 -0.010087954 0.008726767
  < 4 0.21745216 0.003594170 -0.01035947 0.069656103 -0.010515028 0.027749410
  < 5 0.07518988 0.003438467 0.07128026 -0.012558617 -0.006063031 0.008737254
  ---
  > 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
  665,669c718,722
  < 1 0.008244374 0.033089139 0.0014718673 -0.007940172 0.026384627 0.001371647
  < 2 0.006640480 0.059497713 0.0117484032 -0.009252363 0.028239689 -0.006357230
  < 3 0.006466104 0.060790429 0.0121423272 0.004438131 -0.017160439 -0.016280139
  < 4 0.003594170 0.001904172 -0.0007712737 0.001088715 -0.005634356 0.001800621
  < 5 0.003438467 0.072586268 0.0147973998 0.003783464 -0.006978900 -0.012366396
  ---
  > 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
  674,678c727,731
  < 1 0.04488189 0.0014718673 0.07809425 0.020217401 0.005780694 0.07767046
  < 2 0.06507966 0.0117484032 0.11313618 -0.003310156 -0.006317565 0.06486322
  < 3 0.06578741 0.0121423272 0.11453948 -0.014350396 -0.024363177 0.01498377
  < 4 -0.01035947 -0.0007712737 0.00666279 0.004174683 0.002428608 -0.01650551
  < 5 0.07128026 0.0147973998 0.12596119 -0.014460303 -0.017786245 0.01769763
  ---
  > 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
  683,687c736,740
  < 1 0.015058204 -0.007940172 0.020217401 0.06020593 -0.014253480 0.036034450
  < 2 0.002012335 -0.009252363 -0.003310156 0.02224545 -0.008823059 0.012956945
  < 3 -0.008824737 0.004438131 -0.014350396 0.01865085 0.007095149 -0.013540889
  < 4 0.069656103 0.001088715 0.004174683 0.15338080 -0.004077488 -0.003965908
  < 5 -0.012558617 0.003783464 -0.014460303 0.01249151 0.005639084 -0.009083214
  ---
  > 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
  692,696c745,749
  < 1 0.002145072 0.026384627 0.005780694 -0.014253480 0.04513431 0.007023629
  < 2 -0.008363506 0.028239689 -0.006317565 -0.008823059 0.05432724 0.002581586
  < 3 -0.010087954 -0.017160439 -0.024363177 0.007095149 0.07511035 -0.004333474
  < 4 -0.010515028 -0.005634356 0.002428608 -0.004077488 0.01675381 -0.005727582
  < 5 -0.006063031 -0.006978900 -0.017786245 0.005639084 0.05225632 -0.013160719
  ---
  > 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
  701,705c754,758
  < 1 0.055927400 0.001371647 0.07767046 0.036034450 0.007023629 0.11705640
  < 2 0.048222630 -0.006357230 0.06486322 0.012956945 0.002581586 0.14211512
  < 3 0.008726767 -0.016280139 0.01498377 -0.013540889 -0.004333474 0.12396086
  < 4 0.027749410 0.001800621 -0.01650551 -0.003965908 -0.005727582 0.04339593
  < 5 0.008737254 -0.012366396 0.01769763 -0.009083214 -0.013160719 0.08863511
  ---
  > 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
  709,714c762,767
  < d_y1_d_x1 0.035759317 -0.0065300210 0.0320538830 -0.036807039 0.005531360
  < d_y2_d_x1 -0.006530021 0.0313482556 -0.0002233093 0.005910051 -0.032254769
  < d_y3_d_x1 0.032053883 -0.0002233093 0.0553451939 -0.034474459 -0.004887441
  < d_y1_d_x2 -0.036807039 0.0059100515 -0.0344744586 0.038559149 -0.004300560
  < d_y2_d_x2 0.005531360 -0.0322547688 -0.0048874411 -0.004300560 0.045945596
  < d_y3_d_x2 -0.046033715 -0.0017764968 -0.0731366300 0.049998091 0.007204748
  ---
  > 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
  716,721c769,774
  < d_y1_d_x1 -0.046033715
  < d_y2_d_x1 -0.001776497
  < d_y3_d_x1 -0.073136630
  < d_y1_d_x2 0.049998091
  < d_y2_d_x2 0.007204748
  < d_y3_d_x2 0.103959930
  ---
  > 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
  726,730c779,783
  < 1 -0.26992321 0 0 0.16326131 0 0
  < 2 -0.24597572 0 0 0.20032239 0 0
  < 3 -0.24426238 0 0 0.08037924 0 0
  < 4 -0.09308628 0 0 0.20619441 0 0
  < 5 -0.21941621 0 0 0.06131925 0 0
  ---
  > 1 -0.2388744 0 0 0.10904915 0 0
  > 2 -0.2499983 0 0 0.22038073 0 0
  > 3 -0.2493160 0 0 0.17333744 0 0
  > 4 0.1599499 0 0 0.06061104 0 0
  > 5 -0.2320732 0 0 0.13187340 0 0
  735,739c788,792
  < 1 0.07332362 0 0 0.00000000 0 0
  < 2 0.04538516 0 0 0.00000000 0 0
  < 3 0.04422160 0 0 0.08037924 0 0
  < 4 0.27238758 0 0 0.20619441 0 0
  < 5 0.03131252 0 0 0.06131925 0 0
  ---
  > 1 0.14810593 0 0 0.00000000 0 0
  > 2 0.08938182 0 0 0.00000000 0 0
  > 3 0.08687644 0 0 0.17333744 0 0
  > 4 0.39537857 0 0 0.06061104 0 0
  > 5 0.05902308 0 0 0.13187340 0 0
  744,748c797,801
  < 1 -0.068376545 0 0 0.38454346 0 0
  < 2 0.007021809 0 0 0.28558513 0 0
  < 3 0.010471640 0 0 0.04085241 0 0
  < 4 -0.127398099 0 0 0.55472568 0 0
  < 5 0.049537813 0 0 0.01754697 0 0
  ---
  > 1 -0.06051131 0 0 0.41462304 0 0
  > 2 0.00713664 0 0 0.33316686 0 0
  > 3 0.01068829 0 0 0.07939516 0 0
  > 4 0.21890784 0 0 0.47817985 0 0
  > 5 0.05239540 0 0 0.02922476 0 0
  753,757c806,810
  < 1 0 0.190946724 0 0 -0.3694240 0
  < 2 0 0.095155281 0 0 -0.3616062 0
  < 3 0 0.088457124 0 0 0.1150144 0
  < 4 0 0.043002797 0 0 -0.1562842 0
  < 5 0 -0.004677173 0 0 0.2699569 0
  ---
  > 1 0 0.11228991 0 0 -0.3723514 0
  > 2 0 -0.04471821 0 0 -0.2344970 0
  > 3 0 -0.05278442 0 0 0.3373956 0
  > 4 0 0.10632658 0 0 -0.2927056 0
  > 5 0 -0.14586693 0 0 0.3809701 0
  762,766c815,819
  < 1 0 0.38286918 0 0 0.0000000 0
  < 2 0 0.39375722 0 0 0.0000000 0
  < 3 0 0.39220621 0 0 0.1150144 0
  < 4 0 0.04764478 0 0 -0.1562842 0
  < 5 0 0.35628015 0 0 0.2699569 0
  ---
  > 1 0 0.3905552 0 0 0.0000000 0
  > 2 0 0.3228821 0 0 0.0000000 0
  > 3 0 0.3180941 0 0 0.3375706 0
  > 4 0 0.1196723 0 0 -0.2927275 0
  > 5 0 0.2513296 0 0 0.3809701 0
  771,775c824,828
  < 1 0 0.048370340 0 0 0.09826348 0
  < 2 0 -0.002716375 0 0 0.30876065 0
  < 3 0 -0.003792197 0 0 0.38725936 0
  < 4 0 0.058853726 0 0 -0.16629012 0
  < 5 0 0.001055970 0 0 0.29515116 0
  ---
  > 1 0 0.028445114 0 0 0.1839853 0
  > 2 0 0.001276560 0 0 0.3743377 0
  > 3 0 0.002262892 0 0 0.3035692 0
  > 4 0 0.145518796 0 0 -0.2809522 0
  > 5 0 0.032932520 0 0 0.1654057 0
  780,784c833,837
  < 1 0 0 0.10051369 0 0 -0.3322920
  < 2 0 0 0.02060789 0 0 -0.2073234
  < 3 0 0 0.01594887 0 0 0.1281606
  < 4 0 0 0.05651722 0 0 -0.2044506
  < 5 0 0 -0.04328079 0 0 0.2500968
  ---
  > 1 0 0 0.08932894 0 0 -0.2803831
  > 2 0 0 -0.01722018 0 0 -0.1742430
  > 3 0 0 -0.02279842 0 0 0.2218592
  > 4 0 0 0.13528012 0 0 -0.2837393
  > 5 0 0 -0.09049632 0 0 0.2811522
  789,793c842,846
  < 1 0 0 0.39132229 0 0 0.0000000
  < 2 0 0 0.39033936 0 0 0.0000000
  < 3 0 0 0.38858226 0 0 0.1281606
  < 4 0 0 0.07899395 0 0 -0.2044506
  < 5 0 0 0.35340754 0 0 0.2500968
  ---
  > 1 0 0 0.3957169 0 0 0.0000000
  > 2 0 0 0.3551135 0 0 0.0000000
  > 3 0 0 0.3519786 0 0 0.2217893
  > 4 0 0 0.1764384 0 0 -0.2838791
  > 5 0 0 0.3054330 0 0 0.2811872
  798,802c851,855
  < 1 0 0 0.0254619790 0 0 0.2065386
  < 2 0 0 -0.0005882883 0 0 0.3756368
  < 3 0 0 -0.0006837356 0 0 0.3830760
  < 4 0 0 0.0773495951 0 0 -0.2006293
  < 5 0 0 0.0097715476 0 0 0.2969881
  ---
  > 1 0 0 0.0226286748 0 0 0.2353483
  > 2 0 0 0.0004915802 0 0 0.3773680
  > 3 0 0 0.0009773785 0 0 0.3424694
  > 4 0 0 0.1851446874 0 0 -0.2120425
  > 5 0 0 0.0204314438 0 0 0.2419798
  833,838c886,891
  < d_y1_d_x1 -0.09578174 0.005139274 0.09831238 0.0000000 0.00000000 0.00000000
  < d_y2_d_x1 0.00000000 0.000000000 0.00000000 -0.1971324 0.08632207 0.20234082
  < d_y3_d_x1 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000
  < d_y1_d_x2 0.14516394 0.000000000 -0.04799717 0.0000000 0.00000000 0.00000000
  < d_y2_d_x2 0.00000000 0.000000000 0.00000000 0.3727808 0.00000000 -0.09939672
  < d_y3_d_x2 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000
  ---
  > 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
  840,845c893,898
  < d_y1_d_x1 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y2_d_x1 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y3_d_x1 -0.1278046 0.1033959 0.1311813 0 0 0
  < d_y1_d_x2 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y2_d_x2 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y3_d_x2 0.3470951 0.0000000 -0.1251915 0 0 0
  ---
  > d_y1_d_x1 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y2_d_x1 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y3_d_x1 -0.1816930 0.08789435 0.18649349 0 0 0
  > d_y1_d_x2 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y2_d_x2 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y3_d_x2 0.3005902 0.00000000 -0.03897388 0 0 0
  848,1147c901,1200
  < 1: d_y1_d_x1 2.589e-01 2.582e-01 1.003 0.31598
  < 1: d_y2_d_x1 2.739e-01 1.819e-01 1.506 0.13207
  < 1: d_y3_d_x1 -2.089e-01 2.795e-01 -0.748 0.45475
  < 1: d_y1_d_x2 -2.976e-01 2.454e-01 -1.213 0.22516
  < 1: d_y2_d_x2 -3.054e-01 2.124e-01 -1.438 0.15055
  < 1: d_y3_d_x2 4.181e-01 3.421e-01 1.222 0.22174
  < 2: d_y1_d_x1 1.954e-01 2.707e-01 0.722 0.47038
  < 2: d_y2_d_x1 3.410e-01 2.439e-01 1.398 0.16214
  < 2: d_y3_d_x1 -2.344e-01 3.364e-01 -0.697 0.48584
  < 2: d_y1_d_x2 -2.526e-01 1.491e-01 -1.694 0.09031 .
  < 2: d_y2_d_x2 -4.752e-01 2.331e-01 -2.039 0.04148 *
  < 2: d_y3_d_x2 5.315e-01 3.770e-01 1.410 0.15856
  < 3: d_y1_d_x1 1.924e-01 2.712e-01 0.709 0.47819
  < 3: d_y2_d_x1 3.431e-01 2.466e-01 1.391 0.16409
  < 3: d_y3_d_x1 -2.348e-01 3.384e-01 -0.694 0.48782
  < 3: d_y1_d_x2 -3.834e-02 1.366e-01 -0.281 0.77890
  < 3: d_y2_d_x2 -6.241e-01 2.741e-01 -2.277 0.02277 *
  < 3: d_y3_d_x2 5.586e-01 3.521e-01 1.587 0.11260
  < 4: d_y1_d_x1 4.711e-01 4.663e-01 1.010 0.31239
  < 4: d_y2_d_x1 1.820e-02 4.364e-02 0.417 0.67655
  < 4: d_y3_d_x1 -2.772e-02 8.163e-02 -0.340 0.73413
  < 4: d_y1_d_x2 -2.362e-01 3.916e-01 -0.603 0.54648
  < 4: d_y2_d_x2 -7.582e-02 1.294e-01 -0.586 0.55804
  < 4: d_y3_d_x2 1.136e-01 2.083e-01 0.545 0.58567
  < 5: d_y1_d_x1 1.555e-01 2.742e-01 0.567 0.57055
  < 5: d_y2_d_x1 3.555e-01 2.694e-01 1.320 0.18699
  < 5: d_y3_d_x1 -2.311e-01 3.549e-01 -0.651 0.51487
  < 5: d_y1_d_x2 -2.715e-02 1.118e-01 -0.243 0.80807
  < 5: d_y2_d_x2 -5.670e-01 2.286e-01 -2.480 0.01313 *
  < 5: d_y3_d_x2 5.080e-01 2.977e-01 1.706 0.08792 .
  < 6: d_y1_d_x1 4.797e-01 4.971e-01 0.965 0.33455
  < 6: d_y2_d_x1 1.017e-02 2.925e-02 0.348 0.72802
  < 6: d_y3_d_x1 -1.758e-02 6.097e-02 -0.288 0.77305
  < 6: d_y1_d_x2 -2.620e-01 4.207e-01 -0.623 0.53338
  < 6: d_y2_d_x2 -4.540e-02 9.832e-02 -0.462 0.64425
  < 6: d_y3_d_x2 7.573e-02 1.793e-01 0.422 0.67268
  < 7: d_y1_d_x1 1.706e-02 1.033e-01 0.165 0.86884
  < 7: d_y2_d_x1 4.374e-02 8.684e-02 0.504 0.61453
  < 7: d_y3_d_x1 -2.796e-02 1.050e-01 -0.266 0.79007
  < 7: d_y1_d_x2 -1.057e-03 1.074e-02 -0.098 0.92159
  < 7: d_y2_d_x2 -2.271e-02 5.665e-02 -0.401 0.68849
  < 7: d_y3_d_x2 3.264e-02 8.534e-02 0.383 0.70207
  < 8: d_y1_d_x1 3.368e-01 2.715e-01 1.240 0.21482
  < 8: d_y2_d_x1 1.666e-01 1.301e-01 1.281 0.20034
  < 8: d_y3_d_x1 -1.488e-01 2.060e-01 -0.722 0.47013
  < 8: d_y1_d_x2 -3.343e-01 3.505e-01 -0.954 0.34023
  < 8: d_y2_d_x2 -1.405e-01 1.753e-01 -0.801 0.42291
  < 8: d_y3_d_x2 2.556e-01 2.843e-01 0.899 0.36875
  < 9: d_y1_d_x1 2.290e-01 2.637e-01 0.869 0.38509
  < 9: d_y2_d_x1 3.101e-01 2.113e-01 1.467 0.14230
  < 9: d_y3_d_x1 -2.247e-01 3.086e-01 -0.728 0.46656
  < 9: d_y1_d_x2 -2.781e-01 1.979e-01 -1.405 0.16002
  < 9: d_y2_d_x2 -3.836e-01 2.193e-01 -1.749 0.08028 .
  < 9: d_y3_d_x2 4.764e-01 3.630e-01 1.312 0.18939
  < 10: d_y1_d_x1 2.502e-01 2.595e-01 0.964 0.33501
  < 10: d_y2_d_x1 2.851e-01 1.902e-01 1.499 0.13387
  < 10: d_y3_d_x1 -2.141e-01 2.881e-01 -0.743 0.45754
  < 10: d_y1_d_x2 -2.922e-01 2.316e-01 -1.262 0.20709
  < 10: d_y2_d_x2 -3.276e-01 2.143e-01 -1.529 0.12635
  < 10: d_y3_d_x2 4.357e-01 3.488e-01 1.249 0.21165
  < 11: d_y1_d_x1 2.887e-01 2.569e-01 1.124 0.26116
  < 11: d_y2_d_x1 2.337e-01 1.572e-01 1.487 0.13708
  < 11: d_y3_d_x1 -1.884e-01 2.498e-01 -0.754 0.45079
  < 11: d_y1_d_x2 -7.731e-02 1.998e-01 -0.387 0.69877
  < 11: d_y2_d_x2 -5.636e-01 1.967e-01 -2.866 0.00416 **
  < 11: d_y3_d_x2 5.340e-01 2.546e-01 2.097 0.03600 *
  < 12: d_y1_d_x1 1.081e-01 2.613e-01 0.414 0.67915
  < 12: d_y2_d_x1 3.230e-01 2.607e-01 1.239 0.21530
  < 12: d_y3_d_x1 -1.987e-01 3.426e-01 -0.580 0.56188
  < 12: d_y1_d_x2 -1.536e-02 7.788e-02 -0.197 0.84367
  < 12: d_y2_d_x2 -4.174e-01 1.433e-01 -2.914 0.00357 **
  < 12: d_y3_d_x2 3.860e-01 1.701e-01 2.269 0.02328 *
  < 13: d_y1_d_x1 1.359e-01 2.718e-01 0.500 0.61721
  < 13: d_y2_d_x1 3.499e-01 2.720e-01 1.287 0.19826
  < 13: d_y3_d_x1 -2.220e-01 3.553e-01 -0.625 0.53212
  < 13: d_y1_d_x2 -2.191e-02 9.800e-02 -0.224 0.82310
  < 13: d_y2_d_x2 -5.151e-01 1.908e-01 -2.700 0.00694 **
  < 13: d_y3_d_x2 4.653e-01 2.486e-01 1.871 0.06128 .
  < 14: d_y1_d_x1 4.773e-02 1.904e-01 0.251 0.80211
  < 14: d_y2_d_x1 1.666e-01 1.784e-01 0.934 0.35037
  < 14: d_y3_d_x1 -9.941e-02 2.373e-01 -0.419 0.67525
  < 14: d_y1_d_x2 -4.546e-03 3.319e-02 -0.137 0.89105
  < 14: d_y2_d_x2 -1.404e-01 1.387e-01 -1.012 0.31134
  < 14: d_y3_d_x2 1.514e-01 1.419e-01 1.067 0.28585
  < 15: d_y1_d_x1 4.342e-02 1.814e-01 0.239 0.81079
  < 15: d_y2_d_x1 1.501e-01 1.695e-01 0.886 0.37574
  < 15: d_y3_d_x1 -8.978e-02 2.235e-01 -0.402 0.68791
  < 15: d_y1_d_x2 -8.192e-02 1.959e-01 -0.418 0.67577
  < 15: d_y2_d_x2 -4.238e-01 2.159e-01 -1.963 0.04959 *
  < 15: d_y3_d_x2 3.098e-01 3.288e-01 0.942 0.34599
  < 16: d_y1_d_x1 2.707e-01 2.570e-01 1.053 0.29220
  < 16: d_y2_d_x1 2.583e-01 1.714e-01 1.507 0.13173
  < 16: d_y3_d_x1 -2.013e-01 2.676e-01 -0.752 0.45206
  < 16: d_y1_d_x2 -6.881e-02 1.880e-01 -0.366 0.71428
  < 16: d_y2_d_x2 -5.936e-01 2.253e-01 -2.634 0.00844 **
  < 16: d_y3_d_x2 5.532e-01 2.927e-01 1.890 0.05875 .
  < 17: d_y1_d_x1 3.049e-01 2.591e-01 1.177 0.23936
  < 17: d_y2_d_x1 2.110e-01 1.464e-01 1.441 0.14954
  < 17: d_y3_d_x1 -1.757e-01 2.343e-01 -0.750 0.45321
  < 17: d_y1_d_x2 -8.554e-02 2.101e-01 -0.407 0.68387
  < 17: d_y2_d_x2 -5.312e-01 1.713e-01 -3.101 0.00193 **
  < 17: d_y3_d_x2 5.119e-01 2.171e-01 2.358 0.01839 *
  < 18: d_y1_d_x1 2.131e-01 2.671e-01 0.798 0.42496
  < 18: d_y2_d_x1 3.263e-01 2.273e-01 1.436 0.15111
  < 18: d_y3_d_x1 -2.305e-01 3.227e-01 -0.714 0.47503
  < 18: d_y1_d_x2 -2.665e-01 1.738e-01 -1.534 0.12508
  < 18: d_y2_d_x2 -4.269e-01 2.245e-01 -1.901 0.05728 .
  < 18: d_y3_d_x2 5.043e-01 3.712e-01 1.358 0.17431
  < 19: d_y1_d_x1 4.089e-01 3.450e-01 1.185 0.23592
  < 19: d_y2_d_x1 7.682e-02 9.728e-02 0.790 0.42969
  < 19: d_y3_d_x1 -8.395e-02 1.499e-01 -0.560 0.57553
  < 19: d_y1_d_x2 -1.563e-01 2.952e-01 -0.529 0.59659
  < 19: d_y2_d_x2 -2.548e-01 1.649e-01 -1.545 0.12224
  < 19: d_y3_d_x2 2.933e-01 1.770e-01 1.658 0.09741 .
  < 20: d_y1_d_x1 4.549e-01 5.627e-01 0.808 0.41884
  < 20: d_y2_d_x1 8.039e-04 4.022e-03 0.200 0.84157
  < 20: d_y3_d_x1 -2.358e-03 1.383e-02 -0.171 0.86458
  < 20: d_y1_d_x2 -2.078e-01 1.185e-01 -1.753 0.07961 .
  < 20: d_y2_d_x2 -1.612e-04 1.119e-03 -0.144 0.88544
  < 20: d_y3_d_x2 1.908e-03 1.188e-02 0.161 0.87243
  < 21: d_y1_d_x1 1.098e-01 2.623e-01 0.419 0.67542
  < 21: d_y2_d_x1 3.254e-01 2.619e-01 1.242 0.21407
  < 21: d_y3_d_x1 -2.006e-01 3.439e-01 -0.583 0.55978
  < 21: d_y1_d_x2 -1.696e-01 1.453e-01 -1.167 0.24319
  < 21: d_y2_d_x2 -6.346e-01 2.792e-01 -2.273 0.02300 *
  < 21: d_y3_d_x2 5.522e-01 3.046e-01 1.813 0.06984 .
  < 22: d_y1_d_x1 2.777e-03 2.724e-02 0.102 0.91880
  < 22: d_y2_d_x1 1.990e-03 8.957e-03 0.222 0.82417
  < 22: d_y3_d_x1 -1.691e-03 1.198e-02 -0.141 0.88778
  < 22: d_y1_d_x2 -7.457e-03 5.816e-02 -0.128 0.89798
  < 22: d_y2_d_x2 -1.039e-02 3.869e-02 -0.268 0.78835
  < 22: d_y3_d_x2 8.845e-03 5.160e-02 0.171 0.86391
  < 23: d_y1_d_x1 4.240e-01 3.686e-01 1.150 0.24999
  < 23: d_y2_d_x1 6.085e-02 8.758e-02 0.695 0.48724
  < 23: d_y3_d_x1 -7.035e-02 1.372e-01 -0.513 0.60817
  < 23: d_y1_d_x2 -3.440e-01 3.852e-01 -0.893 0.37181
  < 23: d_y2_d_x2 -3.504e-02 8.307e-02 -0.422 0.67321
  < 23: d_y3_d_x2 9.855e-02 1.925e-01 0.512 0.60869
  < 24: d_y1_d_x1 7.961e-02 2.384e-01 0.334 0.73844
  < 24: d_y2_d_x1 2.672e-01 2.305e-01 1.159 0.24653
  < 24: d_y3_d_x1 -1.605e-01 3.093e-01 -0.519 0.60369
  < 24: d_y1_d_x2 -1.329e-01 1.778e-01 -0.748 0.45462
  < 24: d_y2_d_x2 -6.028e-01 2.494e-01 -2.417 0.01563 *
  < 24: d_y3_d_x2 4.823e-01 2.757e-01 1.749 0.08024 .
  < 25: d_y1_d_x1 8.225e-02 2.412e-01 0.341 0.73308
  < 25: d_y2_d_x1 2.737e-01 2.340e-01 1.169 0.24227
  < 25: d_y3_d_x1 -1.647e-01 3.134e-01 -0.526 0.59913
  < 25: d_y1_d_x2 -1.363e-01 1.750e-01 -0.779 0.43585
  < 25: d_y2_d_x2 -6.090e-01 2.534e-01 -2.404 0.01624 *
  < 25: d_y3_d_x2 4.908e-01 2.758e-01 1.780 0.07512 .
  < 26: d_y1_d_x1 4.274e-01 3.743e-01 1.142 0.25348
  < 26: d_y2_d_x1 5.743e-02 8.518e-02 0.674 0.50022
  < 26: d_y3_d_x1 -6.731e-02 1.342e-01 -0.502 0.61590
  < 26: d_y1_d_x2 -3.434e-01 3.834e-01 -0.896 0.37042
  < 26: d_y2_d_x2 -3.246e-02 7.903e-02 -0.411 0.68130
  < 26: d_y3_d_x2 9.337e-02 1.875e-01 0.498 0.61843
  < 27: d_y1_d_x1 1.445e-01 2.733e-01 0.529 0.59690
  < 27: d_y2_d_x1 3.536e-01 2.719e-01 1.301 0.19334
  < 27: d_y3_d_x1 -2.267e-01 3.560e-01 -0.637 0.52421
  < 27: d_y1_d_x2 -2.416e-02 1.040e-01 -0.232 0.81631
  < 27: d_y2_d_x2 -5.398e-01 2.080e-01 -2.595 0.00947 **
  < 27: d_y3_d_x2 4.855e-01 2.717e-01 1.787 0.07391 .
  < 28: d_y1_d_x1 3.298e-02 1.558e-01 0.212 0.83236
  < 28: d_y2_d_x1 1.082e-01 1.441e-01 0.751 0.45270
  < 28: d_y3_d_x1 -6.551e-02 1.845e-01 -0.355 0.72259
  < 28: d_y1_d_x2 -2.673e-03 2.219e-02 -0.120 0.90414
  < 28: d_y2_d_x2 -7.624e-02 1.130e-01 -0.675 0.49987
  < 28: d_y3_d_x2 9.033e-02 1.336e-01 0.676 0.49904
  < 29: d_y1_d_x1 2.421e-01 2.609e-01 0.928 0.35343
  < 29: d_y2_d_x1 2.949e-01 1.981e-01 1.489 0.13648
  < 29: d_y3_d_x1 -2.184e-01 2.960e-01 -0.738 0.46061
  < 29: d_y1_d_x2 -2.870e-01 2.190e-01 -1.311 0.18989
  < 29: d_y2_d_x2 -3.485e-01 2.160e-01 -1.614 0.10656
  < 29: d_y3_d_x2 4.515e-01 3.545e-01 1.274 0.20277
  < 30: d_y1_d_x1 1.725e-01 2.738e-01 0.630 0.52857
  < 30: d_y2_d_x1 3.530e-01 2.613e-01 1.351 0.17669
  < 30: d_y3_d_x1 -2.348e-01 3.495e-01 -0.672 0.50166
  < 30: d_y1_d_x2 -3.209e-02 1.233e-01 -0.260 0.79469
  < 30: d_y2_d_x2 -5.997e-01 2.550e-01 -2.352 0.01869 *
  < 30: d_y3_d_x2 5.361e-01 3.297e-01 1.626 0.10392
  < 31: d_y1_d_x1 2.028e-01 2.693e-01 0.753 0.45143
  < 31: d_y2_d_x1 3.354e-01 2.372e-01 1.414 0.15746
  < 31: d_y3_d_x1 -2.331e-01 3.310e-01 -0.704 0.48118
  < 31: d_y1_d_x2 -4.185e-02 1.437e-01 -0.291 0.77087
  < 31: d_y2_d_x2 -6.312e-01 2.786e-01 -2.266 0.02347 *
  < 31: d_y3_d_x2 5.663e-01 3.573e-01 1.585 0.11298
  < 32: d_y1_d_x1 2.900e-01 2.570e-01 1.128 0.25913
  < 32: d_y2_d_x1 2.318e-01 1.562e-01 1.484 0.13781
  < 32: d_y3_d_x1 -1.874e-01 2.485e-01 -0.754 0.45085
  < 32: d_y1_d_x2 -3.148e-01 2.925e-01 -1.076 0.28173
  < 32: d_y2_d_x2 -2.317e-01 2.032e-01 -1.140 0.25415
  < 32: d_y3_d_x2 3.531e-01 3.194e-01 1.106 0.26894
  < 33: d_y1_d_x1 1.294e-01 2.702e-01 0.479 0.63210
  < 33: d_y2_d_x1 3.458e-01 2.710e-01 1.276 0.20194
  < 33: d_y3_d_x1 -2.177e-01 3.538e-01 -0.615 0.53841
  < 33: d_y1_d_x2 -2.029e-02 9.340e-02 -0.217 0.82803
  < 33: d_y2_d_x2 -4.947e-01 1.780e-01 -2.780 0.00544 **
  < 33: d_y3_d_x2 4.487e-01 2.301e-01 1.950 0.05120 .
  < 34: d_y1_d_x1 3.505e-01 2.805e-01 1.249 0.21150
  < 34: d_y2_d_x1 1.482e-01 1.244e-01 1.191 0.23346
  < 34: d_y3_d_x1 -1.367e-01 1.949e-01 -0.702 0.48295
  < 34: d_y1_d_x2 -1.120e-01 2.429e-01 -0.461 0.64467
  < 34: d_y2_d_x2 -4.200e-01 1.335e-01 -3.145 0.00166 **
  < 34: d_y3_d_x2 4.301e-01 1.310e-01 3.284 0.00102 **
  < 35: d_y1_d_x1 1.565e-01 2.742e-01 0.571 0.56811
  < 35: d_y2_d_x1 3.555e-01 2.691e-01 1.321 0.18640
  < 35: d_y3_d_x1 -2.315e-01 3.547e-01 -0.653 0.51405
  < 35: d_y1_d_x2 -2.743e-02 1.125e-01 -0.244 0.80731
  < 35: d_y2_d_x2 -5.692e-01 2.305e-01 -2.470 0.01353 *
  < 35: d_y3_d_x2 5.099e-01 2.999e-01 1.701 0.08903 .
  < 36: d_y1_d_x1 2.773e-01 2.567e-01 1.081 0.27991
  < 36: d_y2_d_x1 2.493e-01 1.658e-01 1.503 0.13280
  < 36: d_y3_d_x1 -1.966e-01 2.610e-01 -0.753 0.45116
  < 36: d_y1_d_x2 -7.189e-02 1.919e-01 -0.375 0.70796
  < 36: d_y2_d_x2 -5.833e-01 2.149e-01 -2.714 0.00665 **
  < 36: d_y3_d_x2 5.467e-01 2.793e-01 1.957 0.05029 .
  < 37: d_y1_d_x1 4.389e-01 3.948e-01 1.112 0.26621
  < 37: d_y2_d_x1 4.629e-02 7.636e-02 0.606 0.54436
  < 37: d_y3_d_x1 -5.708e-02 1.232e-01 -0.463 0.64319
  < 37: d_y1_d_x2 -1.870e-01 3.322e-01 -0.563 0.57358
  < 37: d_y2_d_x2 -1.684e-01 1.684e-01 -1.000 0.31716
  < 37: d_y3_d_x2 2.125e-01 2.150e-01 0.989 0.32279
  < 38: d_y1_d_x1 3.018e-01 2.585e-01 1.167 0.24302
  < 38: d_y2_d_x1 2.153e-01 1.483e-01 1.452 0.14655
  < 38: d_y3_d_x1 -1.782e-01 2.372e-01 -0.751 0.45246
  < 38: d_y1_d_x2 -3.205e-01 3.087e-01 -1.038 0.29917
  < 38: d_y2_d_x2 -2.064e-01 1.980e-01 -1.042 0.29723
  < 38: d_y3_d_x2 3.282e-01 3.103e-01 1.058 0.29018
  < 39: d_y1_d_x1 1.371e-01 2.721e-01 0.504 0.61424
  < 39: d_y2_d_x1 3.506e-01 2.721e-01 1.289 0.19753
  < 39: d_y3_d_x1 -2.227e-01 3.555e-01 -0.627 0.53092
  < 39: d_y1_d_x2 -1.992e-01 1.223e-01 -1.629 0.10326
  < 39: d_y2_d_x2 -6.091e-01 2.750e-01 -2.215 0.02675 *
  < 39: d_y3_d_x2 5.731e-01 3.464e-01 1.654 0.09804 .
  < 40: d_y1_d_x1 4.466e-01 4.095e-01 1.091 0.27549
  < 40: d_y2_d_x1 3.926e-02 6.983e-02 0.562 0.57399
  < 40: d_y3_d_x1 -5.029e-02 1.152e-01 -0.437 0.66239
  < 40: d_y1_d_x2 -3.370e-01 3.655e-01 -0.922 0.35645
  < 40: d_y2_d_x2 -1.974e-02 5.624e-02 -0.351 0.72566
  < 40: d_y3_d_x2 6.559e-02 1.551e-01 0.423 0.67235
  < 41: d_y1_d_x1 4.219e-01 3.651e-01 1.156 0.24786
  < 41: d_y2_d_x1 6.303e-02 8.905e-02 0.708 0.47909
  < 41: d_y3_d_x1 -7.226e-02 1.391e-01 -0.520 0.60339
  < 41: d_y1_d_x2 -3.444e-01 3.861e-01 -0.892 0.37240
  < 41: d_y2_d_x2 -3.671e-02 8.564e-02 -0.429 0.66817
  < 41: d_y3_d_x2 1.018e-01 1.959e-01 0.520 0.60316
  < 42: d_y1_d_x1 3.284e-01 2.672e-01 1.229 0.21894
  < 42: d_y2_d_x1 1.782e-01 1.339e-01 1.331 0.18335
  < 42: d_y3_d_x1 -1.561e-01 2.131e-01 -0.732 0.46396
  < 42: d_y1_d_x2 -3.314e-01 3.416e-01 -0.970 0.33199
  < 42: d_y2_d_x2 -1.550e-01 1.817e-01 -0.853 0.39372
  < 42: d_y3_d_x2 2.727e-01 2.909e-01 0.937 0.34863
  < 43: d_y1_d_x1 2.555e-01 2.586e-01 0.988 0.32329
  < 43: d_y2_d_x1 2.783e-01 1.851e-01 1.504 0.13263
  < 43: d_y3_d_x1 -2.110e-01 2.829e-01 -0.746 0.45577
  < 43: d_y1_d_x2 -2.955e-01 2.400e-01 -1.232 0.21812
  < 43: d_y2_d_x2 -3.140e-01 2.132e-01 -1.473 0.14072
  < 43: d_y3_d_x2 4.250e-01 3.446e-01 1.233 0.21751
  < 44: d_y1_d_x1 9.008e-02 2.486e-01 0.362 0.71705
  < 44: d_y2_d_x1 2.913e-01 2.436e-01 1.196 0.23175
  < 44: d_y3_d_x1 -1.764e-01 3.243e-01 -0.544 0.58652
  < 44: d_y1_d_x2 -1.163e-02 6.495e-02 -0.179 0.85783
  < 44: d_y2_d_x2 -3.408e-01 1.333e-01 -2.557 0.01055 *
  < 44: d_y3_d_x2 3.234e-01 1.326e-01 2.438 0.01476 *
  < 45: d_y1_d_x1 4.704e-01 4.645e-01 1.013 0.31114
  < 45: d_y2_d_x1 1.875e-02 4.450e-02 0.421 0.67343
  < 45: d_y3_d_x1 -2.837e-02 8.280e-02 -0.343 0.73183
  < 45: d_y1_d_x2 -2.348e-01 3.900e-01 -0.602 0.54721
  < 45: d_y2_d_x2 -7.782e-02 1.310e-01 -0.594 0.55261
  < 45: d_y3_d_x2 1.159e-01 2.096e-01 0.553 0.58022
  < 46: d_y1_d_x1 9.386e-02 2.517e-01 0.373 0.70924
  < 46: d_y2_d_x1 2.990e-01 2.478e-01 1.207 0.22758
  < 46: d_y3_d_x1 -1.816e-01 3.289e-01 -0.552 0.58090
  < 46: d_y1_d_x2 -1.508e-01 1.629e-01 -0.926 0.35440
  < 46: d_y2_d_x2 -6.279e-01 2.682e-01 -2.341 0.01923 *
  < 46: d_y3_d_x2 5.224e-01 2.828e-01 1.847 0.06470 .
  < 47: d_y1_d_x1 4.355e-01 5.748e-01 0.758 0.44867
  < 47: d_y2_d_x1 3.745e-04 2.116e-03 0.177 0.85952
  < 47: d_y3_d_x1 -1.282e-03 8.465e-03 -0.151 0.87961
  < 47: d_y1_d_x2 -1.830e-01 1.260e-01 -1.452 0.14643
  < 47: d_y2_d_x2 -6.473e-05 5.000e-04 -0.129 0.89699
  < 47: d_y3_d_x2 9.606e-04 6.787e-03 0.142 0.88744
  < 48: d_y1_d_x1 4.803e-01 5.001e-01 0.960 0.33688
  < 48: d_y2_d_x1 9.515e-03 2.789e-02 0.341 0.73295
  < 48: d_y3_d_x1 -1.669e-02 5.888e-02 -0.283 0.77687
  < 48: d_y1_d_x2 -2.956e-01 2.530e-01 -1.168 0.24269
  < 48: d_y2_d_x2 -3.276e-03 1.431e-02 -0.229 0.81889
  < 48: d_y3_d_x2 1.785e-02 6.702e-02 0.266 0.78995
  < 49: d_y1_d_x1 1.537e-01 2.741e-01 0.561 0.57511
  < 49: d_y2_d_x1 3.554e-01 2.700e-01 1.316 0.18809
  < 49: d_y3_d_x1 -2.305e-01 3.552e-01 -0.649 0.51642
  < 49: d_y1_d_x2 -2.663e-02 1.104e-01 -0.241 0.80948
  < 49: d_y2_d_x2 -5.626e-01 2.253e-01 -2.497 0.01251 *
  < 49: d_y3_d_x2 5.044e-01 2.935e-01 1.719 0.08564 .
  < 50: d_y1_d_x1 4.707e-02 1.891e-01 0.249 0.80342
  < 50: d_y2_d_x1 1.641e-01 1.771e-01 0.927 0.35401
  < 50: d_y3_d_x1 -9.796e-02 2.353e-01 -0.416 0.67712
  < 50: d_y1_d_x2 -8.750e-02 1.964e-01 -0.446 0.65587
  < 50: d_y2_d_x2 -4.511e-01 2.143e-01 -2.104 0.03535 *
  < 50: d_y3_d_x2 3.324e-01 3.224e-01 1.031 0.30262
  ---
  > 1: d_y1_d_x1 0.3229492 0.1969184 1.640 0.10100
  > 1: d_y2_d_x1 0.3836677 0.2615002 1.467 0.14233
  > 1: d_y3_d_x1 -0.3169556 0.2944299 -1.077 0.28170
  > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
  > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
  > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
  > 2: d_y1_d_x1 0.2429446 0.2037656 1.192 0.23315
  > 2: d_y2_d_x1 0.3993798 0.3154487 1.266 0.20549
  > 2: d_y3_d_x1 -0.3301446 0.3079400 -1.072 0.28367
  > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
  > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
  > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
  > 3: d_y1_d_x1 0.2388602 0.2048984 1.166 0.24372
  > 3: d_y2_d_x1 0.3982789 0.3163614 1.259 0.20805
  > 3: d_y3_d_x1 -0.3297836 0.3073036 -1.073 0.28320
  > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
  > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
  > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
  > 4: d_y1_d_x1 0.4010840 0.2737181 1.465 0.14283
  > 4: d_y2_d_x1 0.0557836 0.1120191 0.498 0.61850
  > 4: d_y3_d_x1 -0.0842058 0.1161738 -0.725 0.46856
  > 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 0.1883227 0.2178782 0.864 0.38740
  > 5: d_y2_d_x1 0.3691077 0.3092617 1.194 0.23267
  > 5: d_y3_d_x1 -0.3165704 0.2885639 -1.097 0.27262
  > 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 0.3702088 0.2479950 1.493 0.13549
  > 6: d_y2_d_x1 0.0348830 0.0858155 0.406 0.68438
  > 6: d_y3_d_x1 -0.0614131 0.1004444 -0.611 0.54093
  > 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 0.0103208 0.0578293 0.178 0.85835
  > 7: d_y2_d_x1 0.0220459 0.0389256 0.566 0.57115
  > 7: d_y3_d_x1 -0.0531236 0.0945413 -0.562 0.57418
  > 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 0.4007101 0.2513387 1.594 0.11087
  > 8: d_y2_d_x1 0.2907940 0.1839648 1.581 0.11395
  > 8: d_y3_d_x1 -0.2596189 0.2327124 -1.116 0.26458
  > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
  > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
  > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
  > 9: d_y1_d_x1 0.2866645 0.1948097 1.472 0.14115
  > 9: d_y2_d_x1 0.3996281 0.2934836 1.362 0.17330
  > 9: d_y3_d_x1 -0.3277370 0.3066371 -1.069 0.28516
  > 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 0.3126554 0.1950652 1.603 0.10897
  > 10: d_y2_d_x1 0.3897239 0.2715355 1.435 0.15121
  > 10: d_y3_d_x1 -0.3208544 0.2989128 -1.073 0.28309
  > 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 0.3559815 0.2109879 1.687 0.09156 .
  > 11: d_y2_d_x1 0.3554683 0.2265475 1.569 0.11663
  > 11: d_y3_d_x1 -0.2994680 0.2745089 -1.091 0.27531
  > 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 0.1219655 0.2167209 0.563 0.57359
  > 12: d_y2_d_x1 0.2849034 0.2455108 1.160 0.24586
  > 12: d_y3_d_x1 -0.2706624 0.2345246 -1.154 0.24846
  > 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 0.1607955 0.2212149 0.727 0.46730
  > 13: d_y2_d_x1 0.3407304 0.2902802 1.174 0.24048
  > 13: d_y3_d_x1 -0.3019451 0.2699648 -1.118 0.26337
  > 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 *
  > 14: d_y1_d_x1 0.0425054 0.1438735 0.295 0.76766
  > 14: d_y2_d_x1 0.1103218 0.1084386 1.017 0.30898
  > 14: d_y3_d_x1 -0.1487970 0.1464968 -1.016 0.30977
  > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
  > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
  > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
  > 15: d_y1_d_x1 0.0374443 0.1341184 0.279 0.78010
  > 15: d_y2_d_x1 0.0966391 0.0989303 0.977 0.32865
  > 15: d_y3_d_x1 -0.1367612 0.1410156 -0.970 0.33213
  > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
  > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
  > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
  > 16: d_y1_d_x1 0.3364459 0.2011069 1.673 0.09433 .
  > 16: d_y2_d_x1 0.3738146 0.2475442 1.510 0.13102
  > 16: d_y3_d_x1 -0.3107708 0.2873205 -1.082 0.27942
  > 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 0.3723866 0.2229194 1.670 0.09482 .
  > 17: d_y2_d_x1 0.3359156 0.2092497 1.605 0.10842
  > 17: d_y3_d_x1 -0.2875002 0.2613449 -1.100 0.27130
  > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
  > 17: d_y2_d_x2 -0.6256261 0.2720114 -2.300 0.02145 *
  > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
  > 18: d_y1_d_x1 0.2663399 0.1979782 1.345 0.17853
  > 18: d_y2_d_x1 0.4021326 0.3063279 1.313 0.18927
  > 18: d_y3_d_x1 -0.3302751 0.3090795 -1.069 0.28526
  > 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 0.4376430 0.3057075 1.432 0.15227
  > 19: d_y2_d_x1 0.1696360 0.1652745 1.026 0.30471
  > 19: d_y3_d_x1 -0.1789464 0.1684535 -1.062 0.28810
  > 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 *
  > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
  > 20: d_y1_d_x1 0.2241586 0.2203192 1.017 0.30895
  > 20: d_y2_d_x1 0.0042037 0.0189008 0.222 0.82400
  > 20: d_y3_d_x1 -0.0149535 0.0440352 -0.340 0.73417
  > 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 0.1243686 0.2174053 0.572 0.56728
  > 21: d_y2_d_x1 0.2889116 0.2488541 1.161 0.24565
  > 21: d_y3_d_x1 -0.2730094 0.2369908 -1.152 0.24933
  > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
  > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
  > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
  > 22: d_y1_d_x1 0.0007459 0.0072977 0.102 0.91859
  > 22: d_y2_d_x1 0.0006998 0.0029467 0.237 0.81229
  > 22: d_y3_d_x1 -0.0057940 0.0229384 -0.253 0.80058
  > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
  > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
  > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
  > 23: d_y1_d_x1 0.4382229 0.3090674 1.418 0.15622
  > 23: d_y2_d_x1 0.1426446 0.1604881 0.889 0.37410
  > 23: d_y3_d_x1 -0.1589837 0.1565509 -1.016 0.30985
  > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
  > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
  > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
  > 24: d_y1_d_x1 0.0830536 0.1955292 0.425 0.67101
  > 24: d_y2_d_x1 0.2095390 0.1829217 1.146 0.25200
  > 24: d_y3_d_x1 -0.2234026 0.1914376 -1.167 0.24322
  > 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 0.0865904 0.1983706 0.437 0.66247
  > 25: d_y2_d_x1 0.2172090 0.1891481 1.148 0.25082
  > 25: d_y3_d_x1 -0.2285086 0.1954931 -1.169 0.24245
  > 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 0.4378383 0.3091474 1.416 0.15669
  > 26: d_y2_d_x1 0.1365703 0.1589866 0.859 0.39034
  > 26: d_y3_d_x1 -0.1543408 0.1539501 -1.003 0.31608
  > 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 0.1729600 0.2202574 0.785 0.43230
  > 27: d_y2_d_x1 0.3543882 0.3000078 1.181 0.23750
  > 27: d_y3_d_x1 -0.3091116 0.2788965 -1.108 0.26772
  > 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 0.0257894 0.1073759 0.240 0.81019
  > 28: d_y2_d_x1 0.0644472 0.0761722 0.846 0.39751
  > 28: d_y3_d_x1 -0.1055972 0.1270193 -0.831 0.40578
  > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
  > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
  > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
  > 29: d_y1_d_x1 0.3029664 0.1942862 1.559 0.11891
  > 29: d_y2_d_x1 0.3943070 0.2803474 1.406 0.15958
  > 29: d_y3_d_x1 -0.3239068 0.3023941 -1.071 0.28411
  > 29: d_y1_d_x2 -0.4316377 0.2971846 -1.452 0.14638
  > 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 0.2118732 0.2124133 0.997 0.31854
  > 30: d_y2_d_x1 0.3863182 0.3169271 1.219 0.22286
  > 30: d_y3_d_x1 -0.3247953 0.2998024 -1.083 0.27865
  > 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 0.2527667 0.2011528 1.257 0.20890
  > 31: d_y2_d_x1 0.4012708 0.3124087 1.284 0.19899
  > 31: d_y3_d_x1 -0.3305991 0.3089367 -1.070 0.28457
  > 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 .
  > 31: d_y3_d_x2 0.4562932 0.2183185 2.090 0.03661 *
  > 32: d_y1_d_x1 0.3573774 0.2118731 1.687 0.09165 .
  > 32: d_y2_d_x1 0.3539601 0.2250456 1.573 0.11576
  > 32: d_y3_d_x1 -0.2985441 0.2734764 -1.092 0.27498
  > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
  > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
  > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
  > 33: d_y1_d_x1 0.1516903 0.2212870 0.685 0.49303
  > 33: d_y2_d_x1 0.3293285 0.2816236 1.169 0.24225
  > 33: d_y3_d_x1 -0.2958065 0.2625654 -1.127 0.25991
  > 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 0.4109694 0.2640717 1.556 0.11964
  > 34: d_y2_d_x1 0.2693770 0.1773855 1.519 0.12886
  > 34: d_y3_d_x1 -0.2461064 0.2199809 -1.119 0.26324
  > 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 0.1897255 0.2176062 0.872 0.38328
  > 35: d_y2_d_x1 0.3703130 0.3099381 1.195 0.23217
  > 35: d_y3_d_x1 -0.3171667 0.2893553 -1.096 0.27303
  > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
  > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
  > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
  > 36: d_y1_d_x1 0.3438410 0.2043023 1.683 0.09237 .
  > 36: d_y2_d_x1 0.3674585 0.2396459 1.533 0.12519
  > 36: d_y3_d_x1 -0.3068357 0.2828260 -1.085 0.27797
  > 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 0.4348121 0.3071966 1.415 0.15695
  > 37: d_y2_d_x1 0.1159358 0.1523350 0.761 0.44662
  > 37: d_y3_d_x1 -0.1380751 0.1452016 -0.951 0.34164
  > 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 0.3693685 0.2204735 1.675 0.09387 .
  > 38: d_y2_d_x1 0.3398245 0.2123516 1.600 0.10953
  > 38: d_y3_d_x1 -0.2898933 0.2639391 -1.098 0.27206
  > 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 0.1625955 0.2211322 0.735 0.46217
  > 39: d_y2_d_x1 0.3428643 0.2918528 1.175 0.24008
  > 39: d_y3_d_x1 -0.3030787 0.2713560 -1.117 0.26404
  > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
  > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
  > 39: d_y3_d_x2 0.5024991 0.2713680 1.852 0.06407 .
  > 40: d_y1_d_x1 0.4310083 0.3036672 1.419 0.15580
  > 40: d_y2_d_x1 0.1021310 0.1462658 0.698 0.48502
  > 40: d_y3_d_x1 -0.1266963 0.1392940 -0.910 0.36305
  > 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 0.4383603 0.3088804 1.419 0.15584
  > 41: d_y2_d_x1 0.1464601 0.1613405 0.908 0.36400
  > 41: d_y3_d_x1 -0.1618696 0.1581962 -1.023 0.30620
  > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
  > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
  > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
  > 42: d_y1_d_x1 0.3938190 0.2435193 1.617 0.10584
  > 42: d_y2_d_x1 0.3033933 0.1892822 1.603 0.10897
  > 42: d_y3_d_x1 -0.2674705 0.2404638 -1.112 0.26600
  > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
  > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
  > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
  > 43: d_y1_d_x1 0.3189542 0.1960673 1.627 0.10379
  > 43: d_y2_d_x1 0.3861652 0.2654683 1.455 0.14576
  > 43: d_y3_d_x1 -0.3185505 0.2962658 -1.075 0.28228
  > 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 0.0971787 0.2056705 0.472 0.63657
  > 44: d_y2_d_x1 0.2391890 0.2072537 1.154 0.24846
  > 44: d_y3_d_x1 -0.2427451 0.2075624 -1.170 0.24220
  > 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
  > 45: d_y1_d_x1 0.4025241 0.2750818 1.463 0.14339
  > 45: d_y2_d_x1 0.0571279 0.1134119 0.504 0.61446
  > 45: d_y3_d_x1 -0.0855674 0.1170016 -0.731 0.46457
  > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
  > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
  > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
  > 46: d_y1_d_x1 0.1023270 0.2086179 0.490 0.62378
  > 46: d_y2_d_x1 0.2493443 0.2157179 1.156 0.24773
  > 46: d_y3_d_x1 -0.2491363 0.2133487 -1.168 0.24291
  > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
  > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
  > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
  > 47: d_y1_d_x1 0.1866549 0.2239000 0.834 0.40448
  > 47: d_y2_d_x1 0.0021906 0.0112184 0.195 0.84518
  > 47: d_y3_d_x1 -0.0097002 0.0326790 -0.297 0.76660
  > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
  > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
  > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
  > 48: d_y1_d_x1 0.3664196 0.2453495 1.493 0.13532
  > 48: d_y2_d_x1 0.0330393 0.0830093 0.398 0.69062
  > 48: d_y3_d_x1 -0.0592154 0.0986854 -0.600 0.54848
  > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
  > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
  > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
  > 49: d_y1_d_x1 0.1856984 0.2183644 0.850 0.39510
  > 49: d_y2_d_x1 0.3667908 0.3079205 1.191 0.23358
  > 49: d_y3_d_x1 -0.3154174 0.2870419 -1.099 0.27183
  > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
  > 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 0.0417272 0.1424363 0.293 0.76956
  > 50: d_y2_d_x1 0.1082331 0.1069829 1.012 0.31169
  > 50: d_y3_d_x1 -0.1469973 0.1456618 -1.009 0.31289
  > 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 *
  1160,1459c1213,1512
  < 1: d_y1_d_x1 4.436e-01 5.798e-01 0.765 0.44430
  < 1: d_y2_d_x1 1.771e-01 8.114e-02 2.183 0.02903 *
  < 1: d_y3_d_x1 -1.741e-01 1.680e-01 -1.036 0.30000
  < 1: d_y1_d_x2 -2.976e-01 2.454e-01 -1.213 0.22516
  < 1: d_y2_d_x2 -3.054e-01 2.124e-01 -1.438 0.15055
  < 1: d_y3_d_x2 4.181e-01 3.421e-01 1.222 0.22174
  < 2: d_y1_d_x1 3.765e-01 5.390e-01 0.699 0.48485
  < 2: d_y2_d_x1 2.756e-01 1.234e-01 2.232 0.02558 *
  < 2: d_y3_d_x1 -2.214e-01 2.670e-01 -0.829 0.40699
  < 2: d_y1_d_x2 -2.526e-01 1.491e-01 -1.694 0.09031 .
  < 2: d_y2_d_x2 -4.752e-01 2.331e-01 -2.039 0.04148 *
  < 2: d_y3_d_x2 5.315e-01 3.770e-01 1.410 0.15856
  < 3: d_y1_d_x1 5.714e-02 1.881e-01 0.304 0.76134
  < 3: d_y2_d_x1 3.620e-01 2.814e-01 1.286 0.19832
  < 3: d_y3_d_x1 -2.327e-01 3.461e-01 -0.672 0.50138
  < 3: d_y1_d_x2 -3.834e-02 1.366e-01 -0.281 0.77890
  < 3: d_y2_d_x2 -6.241e-01 2.741e-01 -2.277 0.02277 *
  < 3: d_y3_d_x2 5.586e-01 3.521e-01 1.587 0.11260
  < 4: d_y1_d_x1 3.520e-01 2.010e-01 1.751 0.07987 .
  < 4: d_y2_d_x1 4.397e-02 9.395e-02 0.468 0.63976
  < 4: d_y3_d_x1 -4.730e-02 1.440e-01 -0.328 0.74258
  < 4: d_y1_d_x2 -2.362e-01 3.916e-01 -0.603 0.54648
  < 4: d_y2_d_x2 -7.582e-02 1.294e-01 -0.586 0.55804
  < 4: d_y3_d_x2 1.136e-01 2.083e-01 0.545 0.58567
  < 5: d_y1_d_x1 4.046e-02 1.595e-01 0.254 0.79976
  < 5: d_y2_d_x1 3.288e-01 2.330e-01 1.411 0.15813
  < 5: d_y3_d_x1 -2.116e-01 3.124e-01 -0.677 0.49813
  < 5: d_y1_d_x2 -2.715e-02 1.118e-01 -0.243 0.80807
  < 5: d_y2_d_x2 -5.670e-01 2.286e-01 -2.480 0.01313 *
  < 5: d_y3_d_x2 5.080e-01 2.977e-01 1.706 0.08792 .
  < 6: d_y1_d_x1 3.905e-01 2.424e-01 1.611 0.10717
  < 6: d_y2_d_x1 2.633e-02 6.734e-02 0.391 0.69578
  < 6: d_y3_d_x1 -3.154e-02 1.109e-01 -0.284 0.77618
  < 6: d_y1_d_x2 -2.620e-01 4.207e-01 -0.623 0.53338
  < 6: d_y2_d_x2 -4.540e-02 9.832e-02 -0.462 0.64425
  < 6: d_y3_d_x2 7.573e-02 1.793e-01 0.422 0.67268
  < 7: d_y1_d_x1 1.576e-03 1.634e-02 0.096 0.92317
  < 7: d_y2_d_x1 1.317e-02 3.397e-02 0.388 0.69816
  < 7: d_y3_d_x1 -1.360e-02 4.823e-02 -0.282 0.77800
  < 7: d_y1_d_x2 -1.057e-03 1.074e-02 -0.098 0.92159
  < 7: d_y2_d_x2 -2.271e-02 5.665e-02 -0.401 0.68849
  < 7: d_y3_d_x2 3.264e-02 8.534e-02 0.383 0.70207
  < 8: d_y1_d_x1 4.982e-01 6.296e-01 0.791 0.42875
  < 8: d_y2_d_x1 8.146e-02 8.425e-02 0.967 0.33359
  < 8: d_y3_d_x1 -1.065e-01 1.101e-01 -0.967 0.33357
  < 8: d_y1_d_x2 -3.343e-01 3.505e-01 -0.954 0.34023
  < 8: d_y2_d_x2 -1.405e-01 1.753e-01 -0.801 0.42291
  < 8: d_y3_d_x2 2.556e-01 2.843e-01 0.899 0.36875
  < 9: d_y1_d_x1 4.145e-01 5.592e-01 0.741 0.45858
  < 9: d_y2_d_x1 2.225e-01 8.734e-02 2.548 0.01085 *
  < 9: d_y3_d_x1 -1.984e-01 2.100e-01 -0.945 0.34466
  < 9: d_y1_d_x2 -2.781e-01 1.979e-01 -1.405 0.16002
  < 9: d_y2_d_x2 -3.836e-01 2.193e-01 -1.749 0.08028 .
  < 9: d_y3_d_x2 4.764e-01 3.630e-01 1.312 0.18939
  < 10: d_y1_d_x1 4.355e-01 5.736e-01 0.759 0.44770
  < 10: d_y2_d_x1 1.900e-01 8.110e-02 2.343 0.01913 *
  < 10: d_y3_d_x1 -1.815e-01 1.791e-01 -1.013 0.31098
  < 10: d_y1_d_x2 -2.922e-01 2.316e-01 -1.262 0.20709
  < 10: d_y2_d_x2 -3.276e-01 2.143e-01 -1.529 0.12635
  < 10: d_y3_d_x2 4.357e-01 3.488e-01 1.249 0.21165
  < 11: d_y1_d_x1 1.152e-01 2.340e-01 0.492 0.62251
  < 11: d_y2_d_x1 3.269e-01 2.882e-01 1.134 0.25663
  < 11: d_y3_d_x1 -2.224e-01 3.501e-01 -0.635 0.52525
  < 11: d_y1_d_x2 -7.731e-02 1.998e-01 -0.387 0.69877
  < 11: d_y2_d_x2 -5.636e-01 1.967e-01 -2.866 0.00416 **
  < 11: d_y3_d_x2 5.340e-01 2.546e-01 2.097 0.03600 *
  < 12: d_y1_d_x1 2.289e-02 1.148e-01 0.199 0.84196
  < 12: d_y2_d_x1 2.421e-01 1.507e-01 1.607 0.10814
  < 12: d_y3_d_x1 -1.608e-01 2.439e-01 -0.659 0.50982
  < 12: d_y1_d_x2 -1.536e-02 7.788e-02 -0.197 0.84367
  < 12: d_y2_d_x2 -4.174e-01 1.433e-01 -2.914 0.00357 **
  < 12: d_y3_d_x2 3.860e-01 1.701e-01 2.269 0.02328 *
  < 13: d_y1_d_x1 3.265e-02 1.420e-01 0.230 0.81814
  < 13: d_y2_d_x1 2.987e-01 1.991e-01 1.501 0.13339
  < 13: d_y3_d_x1 -1.938e-01 2.869e-01 -0.675 0.49940
  < 13: d_y1_d_x2 -2.191e-02 9.800e-02 -0.224 0.82310
  < 13: d_y2_d_x2 -5.151e-01 1.908e-01 -2.700 0.00694 **
  < 13: d_y3_d_x2 4.653e-01 2.486e-01 1.871 0.06128 .
  < 14: d_y1_d_x1 6.776e-03 5.014e-02 0.135 0.89252
  < 14: d_y2_d_x1 8.142e-02 9.063e-02 0.898 0.36895
  < 14: d_y3_d_x1 -6.307e-02 1.302e-01 -0.484 0.62821
  < 14: d_y1_d_x2 -4.546e-03 3.319e-02 -0.137 0.89105
  < 14: d_y2_d_x2 -1.404e-01 1.387e-01 -1.012 0.31134
  < 14: d_y3_d_x2 1.514e-01 1.419e-01 1.067 0.28585
  < 15: d_y1_d_x1 1.221e-01 4.169e-01 0.293 0.76964
  < 15: d_y2_d_x1 2.458e-01 3.016e-01 0.815 0.41508
  < 15: d_y3_d_x1 -1.290e-01 3.474e-01 -0.371 0.71027
  < 15: d_y1_d_x2 -8.192e-02 1.959e-01 -0.418 0.67577
  < 15: d_y2_d_x2 -4.238e-01 2.159e-01 -1.963 0.04959 *
  < 15: d_y3_d_x2 3.098e-01 3.288e-01 0.942 0.34599
  < 16: d_y1_d_x1 1.026e-01 2.294e-01 0.447 0.65482
  < 16: d_y2_d_x1 3.443e-01 2.976e-01 1.157 0.24743
  < 16: d_y3_d_x1 -2.304e-01 3.571e-01 -0.645 0.51880
  < 16: d_y1_d_x2 -6.881e-02 1.880e-01 -0.366 0.71428
  < 16: d_y2_d_x2 -5.936e-01 2.253e-01 -2.634 0.00844 **
  < 16: d_y3_d_x2 5.532e-01 2.927e-01 1.890 0.05875 .
  < 17: d_y1_d_x1 1.275e-01 2.355e-01 0.541 0.58827
  < 17: d_y2_d_x1 3.081e-01 2.772e-01 1.112 0.26628
  < 17: d_y3_d_x1 -2.132e-01 3.415e-01 -0.624 0.53233
  < 17: d_y1_d_x2 -8.554e-02 2.101e-01 -0.407 0.68387
  < 17: d_y2_d_x2 -5.312e-01 1.713e-01 -3.101 0.00193 **
  < 17: d_y3_d_x2 5.119e-01 2.171e-01 2.358 0.01839 *
  < 18: d_y1_d_x1 3.972e-01 5.490e-01 0.724 0.46934
  < 18: d_y2_d_x1 2.476e-01 1.002e-01 2.470 0.01349 *
  < 18: d_y3_d_x1 -2.100e-01 2.360e-01 -0.890 0.37350
  < 18: d_y1_d_x2 -2.665e-01 1.738e-01 -1.534 0.12508
  < 18: d_y2_d_x2 -4.269e-01 2.245e-01 -1.901 0.05728 .
  < 18: d_y3_d_x2 5.043e-01 3.712e-01 1.358 0.17431
  < 19: d_y1_d_x1 2.329e-01 2.058e-01 1.131 0.25787
  < 19: d_y2_d_x1 1.478e-01 1.837e-01 0.804 0.42130
  < 19: d_y3_d_x1 -1.222e-01 2.492e-01 -0.490 0.62399
  < 19: d_y1_d_x2 -1.563e-01 2.952e-01 -0.529 0.59659
  < 19: d_y2_d_x2 -2.548e-01 1.649e-01 -1.545 0.12224
  < 19: d_y3_d_x2 2.933e-01 1.770e-01 1.658 0.09741 .
  < 20: d_y1_d_x1 3.097e-01 4.173e-01 0.742 0.45797
  < 20: d_y2_d_x1 9.351e-05 6.448e-04 0.145 0.88468
  < 20: d_y3_d_x1 -7.945e-04 5.149e-03 -0.154 0.87736
  < 20: d_y1_d_x2 -2.078e-01 1.185e-01 -1.753 0.07961 .
  < 20: d_y2_d_x2 -1.612e-04 1.119e-03 -0.144 0.88544
  < 20: d_y3_d_x2 1.908e-03 1.188e-02 0.161 0.87243
  < 21: d_y1_d_x1 2.528e-01 5.040e-01 0.502 0.61593
  < 21: d_y2_d_x1 3.681e-01 2.949e-01 1.248 0.21201
  < 21: d_y3_d_x1 -2.300e-01 4.011e-01 -0.573 0.56632
  < 21: d_y1_d_x2 -1.696e-01 1.453e-01 -1.167 0.24319
  < 21: d_y2_d_x2 -6.346e-01 2.792e-01 -2.273 0.02300 *
  < 21: d_y3_d_x2 5.522e-01 3.046e-01 1.813 0.06984 .
  < 22: d_y1_d_x1 1.111e-02 9.650e-02 0.115 0.90832
  < 22: d_y2_d_x1 6.024e-03 2.520e-02 0.239 0.81106
  < 22: d_y3_d_x1 -3.684e-03 2.647e-02 -0.139 0.88931
  < 22: d_y1_d_x2 -7.457e-03 5.816e-02 -0.128 0.89798
  < 22: d_y2_d_x2 -1.039e-02 3.869e-02 -0.268 0.78835
  < 22: d_y3_d_x2 8.845e-03 5.160e-02 0.171 0.86391
  < 23: d_y1_d_x1 5.127e-01 6.233e-01 0.823 0.41068
  < 23: d_y2_d_x1 2.032e-02 4.525e-02 0.449 0.65342
  < 23: d_y3_d_x1 -4.105e-02 7.896e-02 -0.520 0.60316
  < 23: d_y1_d_x2 -3.440e-01 3.852e-01 -0.893 0.37181
  < 23: d_y2_d_x2 -3.504e-02 8.307e-02 -0.422 0.67321
  < 23: d_y3_d_x2 9.855e-02 1.925e-01 0.512 0.60869
  < 24: d_y1_d_x1 1.981e-01 4.830e-01 0.410 0.68166
  < 24: d_y2_d_x1 3.496e-01 3.308e-01 1.057 0.29055
  < 24: d_y3_d_x1 -2.009e-01 4.110e-01 -0.489 0.62495
  < 24: d_y1_d_x2 -1.329e-01 1.778e-01 -0.748 0.45462
  < 24: d_y2_d_x2 -6.028e-01 2.494e-01 -2.417 0.01563 *
  < 24: d_y3_d_x2 4.823e-01 2.757e-01 1.749 0.08024 .
  < 25: d_y1_d_x1 2.032e-01 4.853e-01 0.419 0.67546
  < 25: d_y2_d_x1 3.532e-01 3.293e-01 1.073 0.28341
  < 25: d_y3_d_x1 -2.044e-01 4.118e-01 -0.496 0.61958
  < 25: d_y1_d_x2 -1.363e-01 1.750e-01 -0.779 0.43585
  < 25: d_y2_d_x2 -6.090e-01 2.534e-01 -2.404 0.01624 *
  < 25: d_y3_d_x2 4.908e-01 2.758e-01 1.780 0.07512 .
  < 26: d_y1_d_x1 5.118e-01 6.202e-01 0.825 0.40930
  < 26: d_y2_d_x1 1.882e-02 4.318e-02 0.436 0.66285
  < 26: d_y3_d_x1 -3.889e-02 7.717e-02 -0.504 0.61427
  < 26: d_y1_d_x2 -3.434e-01 3.834e-01 -0.896 0.37042
  < 26: d_y2_d_x2 -3.246e-02 7.903e-02 -0.411 0.68130
  < 26: d_y3_d_x2 9.337e-02 1.875e-01 0.498 0.61843
  < 27: d_y1_d_x1 3.601e-02 1.497e-01 0.240 0.80998
  < 27: d_y2_d_x1 3.131e-01 2.145e-01 1.460 0.14433
  < 27: d_y3_d_x1 -2.022e-01 2.987e-01 -0.677 0.49843
  < 27: d_y1_d_x2 -2.416e-02 1.040e-01 -0.232 0.81631
  < 27: d_y2_d_x2 -5.398e-01 2.080e-01 -2.595 0.00947 **
  < 27: d_y3_d_x2 4.855e-01 2.717e-01 1.787 0.07391 .
  < 28: d_y1_d_x1 3.983e-03 3.367e-02 0.118 0.90583
  < 28: d_y2_d_x1 4.422e-02 6.994e-02 0.632 0.52726
  < 28: d_y3_d_x1 -3.763e-02 9.482e-02 -0.397 0.69149
  < 28: d_y1_d_x2 -2.673e-03 2.219e-02 -0.120 0.90414
  < 28: d_y2_d_x2 -7.624e-02 1.130e-01 -0.675 0.49987
  < 28: d_y3_d_x2 9.033e-02 1.336e-01 0.676 0.49904
  < 29: d_y1_d_x1 4.278e-01 5.680e-01 0.753 0.45137
  < 29: d_y2_d_x1 2.021e-01 8.222e-02 2.459 0.01395 *
  < 29: d_y3_d_x1 -1.881e-01 1.902e-01 -0.989 0.32276
  < 29: d_y1_d_x2 -2.870e-01 2.190e-01 -1.311 0.18989
  < 29: d_y2_d_x2 -3.485e-01 2.160e-01 -1.614 0.10656
  < 29: d_y3_d_x2 4.515e-01 3.545e-01 1.274 0.20277
  < 30: d_y1_d_x1 4.782e-02 1.734e-01 0.276 0.78266
  < 30: d_y2_d_x1 3.478e-01 2.584e-01 1.346 0.17831
  < 30: d_y3_d_x1 -2.233e-01 3.303e-01 -0.676 0.49903
  < 30: d_y1_d_x2 -3.209e-02 1.233e-01 -0.260 0.79469
  < 30: d_y2_d_x2 -5.997e-01 2.550e-01 -2.352 0.01869 *
  < 30: d_y3_d_x2 5.361e-01 3.297e-01 1.626 0.10392
  < 31: d_y1_d_x1 6.237e-02 1.957e-01 0.319 0.74989
  < 31: d_y2_d_x1 3.661e-01 2.903e-01 1.261 0.20725
  < 31: d_y3_d_x1 -2.359e-01 3.521e-01 -0.670 0.50299
  < 31: d_y1_d_x2 -4.185e-02 1.437e-01 -0.291 0.77087
  < 31: d_y2_d_x2 -6.312e-01 2.786e-01 -2.266 0.02347 *
  < 31: d_y3_d_x2 5.663e-01 3.573e-01 1.585 0.11298
  < 32: d_y1_d_x1 4.692e-01 6.020e-01 0.779 0.43571
  < 32: d_y2_d_x1 1.344e-01 8.518e-02 1.578 0.11461
  < 32: d_y3_d_x1 -1.471e-01 1.361e-01 -1.081 0.27977
  < 32: d_y1_d_x2 -3.148e-01 2.925e-01 -1.076 0.28173
  < 32: d_y2_d_x2 -2.317e-01 2.032e-01 -1.140 0.25415
  < 32: d_y3_d_x2 3.531e-01 3.194e-01 1.106 0.26894
  < 33: d_y1_d_x1 3.024e-02 1.359e-01 0.223 0.82390
  < 33: d_y2_d_x1 2.869e-01 1.874e-01 1.531 0.12570
  < 33: d_y3_d_x1 -1.869e-01 2.775e-01 -0.673 0.50071
  < 33: d_y1_d_x2 -2.029e-02 9.340e-02 -0.217 0.82803
  < 33: d_y2_d_x2 -4.947e-01 1.780e-01 -2.780 0.00544 **
  < 33: d_y3_d_x2 4.487e-01 2.301e-01 1.950 0.05120 .
  < 34: d_y1_d_x1 1.670e-01 2.327e-01 0.718 0.47294
  < 34: d_y2_d_x1 2.436e-01 2.392e-01 1.018 0.30856
  < 34: d_y3_d_x1 -1.792e-01 3.082e-01 -0.581 0.56099
  < 34: d_y1_d_x2 -1.120e-01 2.429e-01 -0.461 0.64467
  < 34: d_y2_d_x2 -4.200e-01 1.335e-01 -3.145 0.00166 **
  < 34: d_y3_d_x2 4.301e-01 1.310e-01 3.284 0.00102 **
  < 35: d_y1_d_x1 4.088e-02 1.604e-01 0.255 0.79886
  < 35: d_y2_d_x1 3.301e-01 2.347e-01 1.407 0.15946
  < 35: d_y3_d_x1 -2.124e-01 3.136e-01 -0.677 0.49818
  < 35: d_y1_d_x2 -2.743e-02 1.125e-01 -0.244 0.80731
  < 35: d_y2_d_x2 -5.692e-01 2.305e-01 -2.470 0.01353 *
  < 35: d_y3_d_x2 5.099e-01 2.999e-01 1.701 0.08903 .
  < 36: d_y1_d_x1 1.071e-01 2.306e-01 0.465 0.64227
  < 36: d_y2_d_x1 3.383e-01 2.945e-01 1.149 0.25072
  < 36: d_y3_d_x1 -2.277e-01 3.549e-01 -0.642 0.52110
  < 36: d_y1_d_x2 -7.189e-02 1.919e-01 -0.375 0.70796
  < 36: d_y2_d_x2 -5.833e-01 2.149e-01 -2.714 0.00665 **
  < 36: d_y3_d_x2 5.467e-01 2.793e-01 1.957 0.05029 .
  < 37: d_y1_d_x1 2.787e-01 1.871e-01 1.489 0.13640
  < 37: d_y2_d_x1 9.767e-02 1.487e-01 0.657 0.51121
  < 37: d_y3_d_x1 -8.853e-02 2.087e-01 -0.424 0.67137
  < 37: d_y1_d_x2 -1.870e-01 3.322e-01 -0.563 0.57358
  < 37: d_y2_d_x2 -1.684e-01 1.684e-01 -1.000 0.31716
  < 37: d_y3_d_x2 2.125e-01 2.150e-01 0.989 0.32279
  < 38: d_y1_d_x1 4.776e-01 6.099e-01 0.783 0.43352
  < 38: d_y2_d_x1 1.197e-01 8.635e-02 1.386 0.16570
  < 38: d_y3_d_x1 -1.367e-01 1.274e-01 -1.073 0.28335
  < 38: d_y1_d_x2 -3.205e-01 3.087e-01 -1.038 0.29917
  < 38: d_y2_d_x2 -2.064e-01 1.980e-01 -1.042 0.29723
  < 38: d_y3_d_x2 3.282e-01 3.103e-01 1.058 0.29018
  < 39: d_y1_d_x1 2.969e-01 5.143e-01 0.577 0.56380
  < 39: d_y2_d_x1 3.532e-01 2.403e-01 1.470 0.14161
  < 39: d_y3_d_x1 -2.387e-01 3.677e-01 -0.649 0.51615
  < 39: d_y1_d_x2 -1.992e-01 1.223e-01 -1.629 0.10326
  < 39: d_y2_d_x2 -6.091e-01 2.750e-01 -2.215 0.02675 *
  < 39: d_y3_d_x2 5.731e-01 3.464e-01 1.654 0.09804 .
  < 40: d_y1_d_x1 5.023e-01 5.964e-01 0.842 0.39967
  < 40: d_y2_d_x1 1.145e-02 3.119e-02 0.367 0.71362
  < 40: d_y3_d_x1 -2.732e-02 6.488e-02 -0.421 0.67373
  < 40: d_y1_d_x2 -3.370e-01 3.655e-01 -0.922 0.35645
  < 40: d_y2_d_x2 -1.974e-02 5.624e-02 -0.351 0.72566
  < 40: d_y3_d_x2 6.559e-02 1.551e-01 0.423 0.67235
  < 41: d_y1_d_x1 5.133e-01 6.250e-01 0.821 0.41149
  < 41: d_y2_d_x1 2.129e-02 4.657e-02 0.457 0.64750
  < 41: d_y3_d_x1 -4.242e-02 8.015e-02 -0.529 0.59663
  < 41: d_y1_d_x2 -3.444e-01 3.861e-01 -0.892 0.37240
  < 41: d_y2_d_x2 -3.671e-02 8.564e-02 -0.429 0.66817
  < 41: d_y3_d_x2 1.018e-01 1.959e-01 0.520 0.60316
  < 42: d_y1_d_x1 4.939e-01 6.256e-01 0.790 0.42977
  < 42: d_y2_d_x1 8.989e-02 8.562e-02 1.050 0.29375
  < 42: d_y3_d_x1 -1.136e-01 1.133e-01 -1.002 0.31632
  < 42: d_y1_d_x2 -3.314e-01 3.416e-01 -0.970 0.33199
  < 42: d_y2_d_x2 -1.550e-01 1.817e-01 -0.853 0.39372
  < 42: d_y3_d_x2 2.727e-01 2.909e-01 0.937 0.34863
  < 43: d_y1_d_x1 4.405e-01 5.774e-01 0.763 0.44561
  < 43: d_y2_d_x1 1.821e-01 8.101e-02 2.248 0.02455 *
  < 43: d_y3_d_x1 -1.770e-01 1.723e-01 -1.028 0.30417
  < 43: d_y1_d_x2 -2.955e-01 2.400e-01 -1.232 0.21812
  < 43: d_y2_d_x2 -3.140e-01 2.132e-01 -1.473 0.14072
  < 43: d_y3_d_x2 4.250e-01 3.446e-01 1.233 0.21751
  < 44: d_y1_d_x1 1.734e-02 9.660e-02 0.180 0.85754
  < 44: d_y2_d_x1 1.976e-01 1.259e-01 1.569 0.11658
  < 44: d_y3_d_x1 -1.347e-01 2.127e-01 -0.633 0.52663
  < 44: d_y1_d_x2 -1.163e-02 6.495e-02 -0.179 0.85783
  < 44: d_y2_d_x2 -3.408e-01 1.333e-01 -2.557 0.01055 *
  < 44: d_y3_d_x2 3.234e-01 1.326e-01 2.438 0.01476 *
  < 45: d_y1_d_x1 3.499e-01 1.993e-01 1.756 0.07913 .
  < 45: d_y2_d_x1 4.513e-02 9.548e-02 0.473 0.63644
  < 45: d_y3_d_x1 -4.828e-02 1.459e-01 -0.331 0.74070
  < 45: d_y1_d_x2 -2.348e-01 3.900e-01 -0.602 0.54721
  < 45: d_y2_d_x2 -7.782e-02 1.310e-01 -0.594 0.55261
  < 45: d_y3_d_x2 1.159e-01 2.096e-01 0.553 0.58022
  < 46: d_y1_d_x1 2.248e-01 4.949e-01 0.454 0.64974
  < 46: d_y2_d_x1 3.642e-01 3.186e-01 1.143 0.25307
  < 46: d_y3_d_x1 -2.176e-01 4.111e-01 -0.529 0.59655
  < 46: d_y1_d_x2 -1.508e-01 1.629e-01 -0.926 0.35440
  < 46: d_y2_d_x2 -6.279e-01 2.682e-01 -2.341 0.01923 *
  < 46: d_y3_d_x2 5.224e-01 2.828e-01 1.847 0.06470 .
  < 47: d_y1_d_x1 2.727e-01 4.168e-01 0.654 0.51294
  < 47: d_y2_d_x1 3.754e-05 2.886e-04 0.130 0.89649
  < 47: d_y3_d_x1 -4.001e-04 2.922e-03 -0.137 0.89107
  < 47: d_y1_d_x2 -1.830e-01 1.260e-01 -1.452 0.14643
  < 47: d_y2_d_x2 -6.473e-05 5.000e-04 -0.129 0.89699
  < 47: d_y3_d_x2 9.606e-04 6.787e-03 0.142 0.88744
  < 48: d_y1_d_x1 4.405e-01 4.923e-01 0.895 0.37091
  < 48: d_y2_d_x1 1.900e-03 8.139e-03 0.233 0.81539
  < 48: d_y3_d_x1 -7.436e-03 2.881e-02 -0.258 0.79630
  < 48: d_y1_d_x2 -2.956e-01 2.530e-01 -1.168 0.24269
  < 48: d_y2_d_x2 -3.276e-03 1.431e-02 -0.229 0.81889
  < 48: d_y3_d_x2 1.785e-02 6.702e-02 0.266 0.78995
  < 49: d_y1_d_x1 3.968e-02 1.579e-01 0.251 0.80152
  < 49: d_y2_d_x1 3.263e-01 2.300e-01 1.419 0.15590
  < 49: d_y3_d_x1 -2.101e-01 3.101e-01 -0.678 0.49805
  < 49: d_y1_d_x2 -2.663e-02 1.104e-01 -0.241 0.80948
  < 49: d_y2_d_x2 -5.626e-01 2.253e-01 -2.497 0.01251 *
  < 49: d_y3_d_x2 5.044e-01 2.935e-01 1.719 0.08564 .
  < 50: d_y1_d_x1 1.304e-01 4.273e-01 0.305 0.76023
  < 50: d_y2_d_x1 2.616e-01 3.098e-01 0.844 0.39840
  < 50: d_y3_d_x1 -1.384e-01 3.597e-01 -0.385 0.70034
  < 50: d_y1_d_x2 -8.750e-02 1.964e-01 -0.446 0.65587
  < 50: d_y2_d_x2 -4.511e-01 2.143e-01 -2.104 0.03535 *
  < 50: d_y3_d_x2 3.324e-01 3.224e-01 1.031 0.30262
  ---
  > 1: d_y1_d_x1 0.4492866 0.3540597 1.269 0.20446
  > 1: d_y2_d_x1 0.2935576 0.1311406 2.238 0.02519 *
  > 1: d_y3_d_x1 -0.2616568 0.1797334 -1.456 0.14545
  > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
  > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
  > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
  > 2: d_y1_d_x1 0.3940224 0.3132860 1.258 0.20850
  > 2: d_y2_d_x1 0.3878021 0.2306484 1.681 0.09269 .
  > 2: d_y3_d_x1 -0.3179747 0.2736354 -1.162 0.24522
  > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
  > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
  > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
  > 3: d_y1_d_x1 0.1008641 0.1922854 0.525 0.59989
  > 3: d_y2_d_x1 0.3355752 0.2466029 1.361 0.17358
  > 3: d_y3_d_x1 -0.3005914 0.2316189 -1.298 0.19436
  > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
  > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
  > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
  > 4: d_y1_d_x1 0.4590369 0.3460873 1.326 0.18472
  > 4: d_y2_d_x1 0.1262490 0.1951262 0.647 0.51762
  > 4: d_y3_d_x1 -0.1506792 0.2145244 -0.702 0.48244
  > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
  > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
  > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
  > 5: d_y1_d_x1 0.0685262 0.1718947 0.399 0.69015
  > 5: d_y2_d_x1 0.2651417 0.1706556 1.554 0.12026
  > 5: d_y3_d_x1 -0.2608412 0.1682214 -1.551 0.12100
  > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
  > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
  > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
  > 6: d_y1_d_x1 0.4628921 0.3679524 1.258 0.20838
  > 6: d_y2_d_x1 0.0855760 0.1633725 0.524 0.60041
  > 6: d_y3_d_x1 -0.1167335 0.1854189 -0.630 0.52898
  > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
  > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
  > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
  > 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
  > 8: d_y3_d_x1 -0.1771091 0.1040865 -1.702 0.08884 .
  > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
  > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
  > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
  > 9: d_y1_d_x1 0.4284797 0.3354146 1.277 0.20144
  > 9: d_y2_d_x1 0.3418824 0.1591856 2.148 0.03174 *
  > 9: d_y3_d_x1 -0.2906800 0.2235404 -1.300 0.19348
  > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
  > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
  > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
  > 10: d_y1_d_x1 0.4441739 0.3492171 1.272 0.20340
  > 10: d_y2_d_x1 0.3080759 0.1350329 2.281 0.02252 *
  > 10: d_y3_d_x1 -0.2704623 0.1920952 -1.408 0.15914
  > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
  > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
  > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
  > 11: d_y1_d_x1 0.2084940 0.1733247 1.203 0.22901
  > 11: d_y2_d_x1 0.4208561 0.3524522 1.194 0.23245
  > 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 *
  > 14: d_y1_d_x1 0.0077455 0.0462115 0.168 0.86689
  > 14: d_y2_d_x1 0.0365310 0.0506660 0.721 0.47090
  > 14: d_y3_d_x1 -0.0763598 0.0949354 -0.804 0.42120
  > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
  > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
  > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
  > 15: d_y1_d_x1 0.0983928 0.2668037 0.369 0.71229
  > 15: d_y2_d_x1 0.1951304 0.2397581 0.814 0.41572
  > 15: d_y3_d_x1 -0.2185129 0.2611210 -0.837 0.40269
  > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
  > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
  > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
  > 16: d_y1_d_x1 0.1861029 0.1838931 1.012 0.31153
  > 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
  > 17: d_y2_d_x1 0.4187232 0.3512515 1.192 0.23323
  > 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
  > 17: d_y2_d_x2 -0.6256261 0.2720114 -2.300 0.02145 *
  > 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
  > 19: d_y3_d_x1 -0.2638173 0.3075951 -0.858 0.39107
  > 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 *
  > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
  > 20: d_y1_d_x1 0.0907767 0.1780308 0.510 0.61013
  > 20: d_y2_d_x1 0.0004808 0.0035019 0.137 0.89080
  > 20: d_y3_d_x1 -0.0039026 0.0168379 -0.232 0.81671
  > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
  > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
  > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
  > 21: d_y1_d_x1 0.2537931 0.3084248 0.823 0.41058
  > 21: d_y2_d_x1 0.3992862 0.3938352 1.014 0.31066
  > 21: d_y3_d_x1 -0.3331994 0.3472876 -0.959 0.33734
  > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
  > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
  > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
  > 22: d_y1_d_x1 0.0030125 0.0260178 0.116 0.90782
  > 22: d_y2_d_x1 0.0025944 0.0095680 0.271 0.78627
  > 22: d_y3_d_x1 -0.0149288 0.0516028 -0.289 0.77235
  > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
  > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
  > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
  > 23: d_y1_d_x1 0.3839298 0.2322611 1.653 0.09833 .
  > 23: d_y2_d_x1 0.0530957 0.1200950 0.442 0.65841
  > 23: d_y3_d_x1 -0.0838742 0.0922399 -0.909 0.36319
  > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
  > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
  > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
  > 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
  > 28: d_y2_d_x1 0.0171661 0.0338585 0.507 0.61216
  > 28: d_y3_d_x1 -0.0475933 0.0827103 -0.575 0.56501
  > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
  > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
  > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
  > 29: d_y1_d_x1 0.4387734 0.3441602 1.275 0.20234
  > 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
  > 29: d_y1_d_x2 -0.4316377 0.2971846 -1.452 0.14638
  > 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
  > 31: d_y3_d_x1 -0.3093692 0.2484722 -1.245 0.21310
  > 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 .
  > 31: d_y3_d_x2 0.4562932 0.2183185 2.090 0.03661 *
  > 32: d_y1_d_x1 0.4610436 0.3649767 1.263 0.20651
  > 32: d_y2_d_x1 0.2407803 0.1384474 1.739 0.08201 .
  > 32: d_y3_d_x1 -0.2287085 0.1405512 -1.627 0.10369
  > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
  > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
  > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
  > 33: d_y1_d_x1 0.0489118 0.1487038 0.329 0.74222
  > 33: d_y2_d_x1 0.2073988 0.1208362 1.716 0.08610 .
  > 33: d_y3_d_x1 -0.2244998 0.1272792 -1.764 0.07776 .
  > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
  > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
  > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
  > 34: d_y1_d_x1 0.2918467 0.1402138 2.081 0.03739 *
  > 34: d_y2_d_x1 0.3868975 0.3240208 1.194 0.23246
  > 34: d_y3_d_x1 -0.3187254 0.3475035 -0.917 0.35905
  > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
  > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
  > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
  > 35: d_y1_d_x1 0.0693382 0.1724062 0.402 0.68755
  > 35: d_y2_d_x1 0.2672640 0.1725973 1.548 0.12151
  > 35: d_y3_d_x1 -0.2621075 0.1699692 -1.542 0.12305
  > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
  > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
  > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
  > 36: d_y1_d_x1 0.1942907 0.1801413 1.079 0.28079
  > 36: d_y2_d_x1 0.4194379 0.3501349 1.198 0.23094
  > 36: d_y3_d_x1 -0.3405594 0.3351504 -1.016 0.30956
  > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
  > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
  > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
  > 37: d_y1_d_x1 0.4196328 0.2610018 1.608 0.10788
  > 37: d_y2_d_x1 0.2239110 0.2400895 0.933 0.35102
  > 37: d_y3_d_x1 -0.2200429 0.2714789 -0.811 0.41763
  > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
  > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
  > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
  > 38: d_y1_d_x1 0.4628216 0.3657665 1.265 0.20575
  > 38: d_y2_d_x1 0.2208904 0.1452555 1.521 0.12833
  > 38: d_y3_d_x1 -0.2158009 0.1284410 -1.680 0.09293 .
  > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
  > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
  > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
  > 39: d_y1_d_x1 0.3066097 0.3008442 1.019 0.30812
  > 39: d_y2_d_x1 0.4199995 0.3659529 1.148 0.25110
  > 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 *
  > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
  > 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
  > 41: d_y3_d_x1 -0.0860563 0.0924706 -0.931 0.35204
  > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
  > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
  > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
  > 42: d_y1_d_x1 0.4612913 0.3593365 1.284 0.19924
  > 42: d_y2_d_x1 0.1775253 0.1583049 1.121 0.26211
  > 42: d_y3_d_x1 -0.1864022 0.1083052 -1.721 0.08524 .
  > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
  > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
  > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
  > 43: d_y1_d_x1 0.4473813 0.3521982 1.270 0.20399
  > 43: d_y2_d_x1 0.2992639 0.1322582 2.263 0.02365 *
  > 43: d_y3_d_x1 -0.2651285 0.1845443 -1.437 0.15081
  > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
  > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
  > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
  > 44: d_y1_d_x1 0.0251250 0.1028008 0.244 0.80692
  > 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
  > 45: d_y1_d_x1 0.4584600 0.3445850 1.330 0.18336
  > 45: d_y2_d_x1 0.1287179 0.1966903 0.654 0.51284
  > 45: d_y3_d_x1 -0.1526113 0.2160522 -0.706 0.47996
  > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
  > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
  > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
  > 46: d_y1_d_x1 0.2196198 0.3120953 0.704 0.48162
  > 46: d_y2_d_x1 0.3720376 0.3890813 0.956 0.33897
  > 46: d_y3_d_x1 -0.3206175 0.3418885 -0.938 0.34836
  > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
  > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
  > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
  > 47: d_y1_d_x1 0.0675667 0.1625237 0.416 0.67760
  > 47: d_y2_d_x1 0.0002118 0.0017223 0.123 0.90213
  > 47: d_y3_d_x1 -0.0022930 0.0111918 -0.205 0.83767
  > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
  > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
  > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
  > 48: d_y1_d_x1 0.2215763 0.1639738 1.351 0.17660
  > 48: d_y2_d_x1 0.0069406 0.0311010 0.223 0.82341
  > 48: d_y3_d_x1 -0.0221528 0.0544918 -0.407 0.68435
  > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
  > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
  > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
  > 49: d_y1_d_x1 0.0670193 0.1703452 0.393 0.69400
  > 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
  > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
  > 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 *
  1467,1766c1520,1819
  < 1: d_y1_d_x1 0.2588724 0.2581611 1.003 0.315979
  < 1: d_y2_d_x1 0.2739468 0.1819042 1.506 0.132069
  < 1: d_y3_d_x1 -0.2088951 0.2794535 -0.748 0.454754
  < 1: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 1: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 1: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 2: d_y1_d_x1 0.1954173 0.2707105 0.722 0.470376
  < 2: d_y2_d_x1 0.3409786 0.2439215 1.398 0.162142
  < 2: d_y3_d_x1 -0.2344227 0.3363572 -0.697 0.485837
  < 2: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 2: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 2: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 3: d_y1_d_x1 0.1923730 0.2712445 0.709 0.478186
  < 3: d_y2_d_x1 0.3430715 0.2465572 1.391 0.164090
  < 3: d_y3_d_x1 -0.2347991 0.3384368 -0.694 0.487823
  < 3: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 3: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 3: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 4: d_y1_d_x1 0.4710862 0.4663177 1.010 0.312387
  < 4: d_y2_d_x1 0.0182040 0.0436368 0.417 0.676553
  < 4: d_y3_d_x1 -0.0277229 0.0816259 -0.340 0.734133
  < 4: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 4: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 4: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 5: d_y1_d_x1 0.1555408 0.2742077 0.567 0.570553
  < 5: d_y2_d_x1 0.3555072 0.2694184 1.320 0.186990
  < 5: d_y3_d_x1 -0.2311447 0.3549101 -0.651 0.514868
  < 5: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 5: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 5: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 6: d_y1_d_x1 0.4797355 0.4971429 0.965 0.334552
  < 6: d_y2_d_x1 0.0101714 0.0292487 0.348 0.728024
  < 6: d_y3_d_x1 -0.0175828 0.0609701 -0.288 0.773053
  < 6: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 6: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 6: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 7: d_y1_d_x1 0.0170578 0.1032958 0.165 0.868837
  < 7: d_y2_d_x1 0.0437355 0.0868416 0.504 0.614526
  < 7: d_y3_d_x1 -0.0279646 0.1050418 -0.266 0.790067
  < 7: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 7: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 7: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 8: d_y1_d_x1 0.3368240 0.2715419 1.240 0.214823
  < 8: d_y2_d_x1 0.1666264 0.1301171 1.281 0.200338
  < 8: d_y3_d_x1 -0.1487968 0.2060125 -0.722 0.470128
  < 8: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 8: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 8: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 9: d_y1_d_x1 0.2290025 0.2636581 0.869 0.385089
  < 9: d_y2_d_x1 0.3100549 0.2113119 1.467 0.142298
  < 9: d_y3_d_x1 -0.2246570 0.3085604 -0.728 0.466564
  < 9: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 9: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 9: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 10: d_y1_d_x1 0.2501551 0.2594787 0.964 0.335012
  < 10: d_y2_d_x1 0.2850722 0.1901729 1.499 0.133869
  < 10: d_y3_d_x1 -0.2140662 0.2881454 -0.743 0.457536
  < 10: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 10: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 10: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 11: d_y1_d_x1 0.2886618 0.2568939 1.124 0.261157
  < 11: d_y2_d_x1 0.2336846 0.1571785 1.487 0.137082
  < 11: d_y3_d_x1 -0.1883779 0.2498059 -0.754 0.450791
  < 11: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 11: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 11: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 12: d_y1_d_x1 0.1080931 0.2613293 0.414 0.679147
  < 12: d_y2_d_x1 0.3229794 0.2606516 1.239 0.215300
  < 12: d_y3_d_x1 -0.1987210 0.3425925 -0.580 0.561880
  < 12: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 12: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 12: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 13: d_y1_d_x1 0.1358611 0.2718261 0.500 0.617210
  < 13: d_y2_d_x1 0.3499147 0.2719826 1.287 0.198257
  < 13: d_y3_d_x1 -0.2219715 0.3552834 -0.625 0.532120
  < 13: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 13: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 13: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 14: d_y1_d_x1 0.0477263 0.1904317 0.251 0.802107
  < 14: d_y2_d_x1 0.1665697 0.1783658 0.934 0.350373
  < 14: d_y3_d_x1 -0.0994055 0.2372710 -0.419 0.675250
  < 14: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 14: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 14: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 15: d_y1_d_x1 0.0434196 0.1813627 0.239 0.810789
  < 15: d_y2_d_x1 0.1501026 0.1694605 0.886 0.375743
  < 15: d_y3_d_x1 -0.0897829 0.2235125 -0.402 0.687912
  < 15: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 15: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 15: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 16: d_y1_d_x1 0.2706682 0.2569696 1.053 0.292200
  < 16: d_y2_d_x1 0.2583368 0.1713889 1.507 0.131730
  < 16: d_y3_d_x1 -0.2012550 0.2676316 -0.752 0.452060
  < 16: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 16: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 16: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 17: d_y1_d_x1 0.3048933 0.2591314 1.177 0.239356
  < 17: d_y2_d_x1 0.2110071 0.1464159 1.441 0.149543
  < 17: d_y3_d_x1 -0.1757262 0.2342768 -0.750 0.453207
  < 17: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 17: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 17: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 18: d_y1_d_x1 0.2131349 0.2671395 0.798 0.424963
  < 18: d_y2_d_x1 0.3262819 0.2272738 1.436 0.151107
  < 18: d_y3_d_x1 -0.2304769 0.3226520 -0.714 0.475029
  < 18: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 18: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 18: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 19: d_y1_d_x1 0.4088876 0.3449842 1.185 0.235924
  < 19: d_y2_d_x1 0.0768231 0.0972783 0.790 0.429688
  < 19: d_y3_d_x1 -0.0839480 0.1499274 -0.560 0.575531
  < 19: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 19: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 19: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 20: d_y1_d_x1 0.4549377 0.5627351 0.808 0.418837
  < 20: d_y2_d_x1 0.0008039 0.0040218 0.200 0.841574
  < 20: d_y3_d_x1 -0.0023583 0.0138283 -0.171 0.864581
  < 20: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 20: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 20: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 21: d_y1_d_x1 0.1098218 0.2622797 0.419 0.675421
  < 21: d_y2_d_x1 0.3253946 0.2618948 1.242 0.214066
  < 21: d_y3_d_x1 -0.2005528 0.3438992 -0.583 0.559777
  < 21: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 21: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 21: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 22: d_y1_d_x1 0.0027767 0.0272370 0.102 0.918799
  < 22: d_y2_d_x1 0.0019901 0.0089568 0.222 0.824167
  < 22: d_y3_d_x1 -0.0016910 0.0119838 -0.141 0.887784
  < 22: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 22: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 22: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 23: d_y1_d_x1 0.4240424 0.3686129 1.150 0.249990
  < 23: d_y2_d_x1 0.0608460 0.0875846 0.695 0.487237
  < 23: d_y3_d_x1 -0.0703453 0.1372106 -0.513 0.608174
  < 23: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 23: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 23: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 24: d_y1_d_x1 0.0796055 0.2383980 0.334 0.738441
  < 24: d_y2_d_x1 0.2671588 0.2305436 1.159 0.246529
  < 24: d_y3_d_x1 -0.1605380 0.3092634 -0.519 0.603692
  < 24: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 24: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 24: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 25: d_y1_d_x1 0.0822489 0.2411799 0.341 0.733083
  < 25: d_y2_d_x1 0.2736706 0.2340401 1.169 0.242270
  < 25: d_y3_d_x1 -0.1647346 0.3133890 -0.526 0.599128
  < 25: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 25: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 25: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 26: d_y1_d_x1 0.4274381 0.3743117 1.142 0.253483
  < 26: d_y2_d_x1 0.0574266 0.0851840 0.674 0.500217
  < 26: d_y3_d_x1 -0.0673131 0.1341786 -0.502 0.615901
  < 26: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 26: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 26: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 27: d_y1_d_x1 0.1445428 0.2733116 0.529 0.596905
  < 27: d_y2_d_x1 0.3536142 0.2718544 1.301 0.193345
  < 27: d_y3_d_x1 -0.2267098 0.3559721 -0.637 0.524206
  < 27: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 27: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 27: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 28: d_y1_d_x1 0.0329819 0.1558159 0.212 0.832363
  < 28: d_y2_d_x1 0.1082366 0.1441385 0.751 0.452700
  < 28: d_y3_d_x1 -0.0655127 0.1845424 -0.355 0.722589
  < 28: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 28: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 28: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 29: d_y1_d_x1 0.2421385 0.2609365 0.928 0.353429
  < 29: d_y2_d_x1 0.2949158 0.1980580 1.489 0.136477
  < 29: d_y3_d_x1 -0.2184254 0.2960321 -0.738 0.460609
  < 29: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 29: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 29: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 30: d_y1_d_x1 0.1725433 0.2737929 0.630 0.528566
  < 30: d_y2_d_x1 0.3529995 0.2612821 1.351 0.176686
  < 30: d_y3_d_x1 -0.2348297 0.3495127 -0.672 0.501662
  < 30: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 30: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 30: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 31: d_y1_d_x1 0.2027941 0.2693041 0.753 0.451432
  < 31: d_y2_d_x1 0.3353567 0.2372262 1.414 0.157462
  < 31: d_y3_d_x1 -0.2331330 0.3309622 -0.704 0.481178
  < 31: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 31: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 31: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 32: d_y1_d_x1 0.2899978 0.2569883 1.128 0.259131
  < 32: d_y2_d_x1 0.2318277 0.1562188 1.484 0.137811
  < 32: d_y3_d_x1 -0.1873703 0.2485037 -0.754 0.450853
  < 32: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 32: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 32: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 33: d_y1_d_x1 0.1293673 0.2702081 0.479 0.632103
  < 33: d_y2_d_x1 0.3457668 0.2709695 1.276 0.201943
  < 33: d_y3_d_x1 -0.2176722 0.3538119 -0.615 0.538409
  < 33: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 33: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 33: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 34: d_y1_d_x1 0.3504910 0.2805162 1.249 0.211500
  < 34: d_y2_d_x1 0.1481781 0.1243628 1.191 0.233458
  < 34: d_y3_d_x1 -0.1367205 0.1948788 -0.702 0.482949
  < 34: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 34: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 34: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 35: d_y1_d_x1 0.1565480 0.2742401 0.571 0.568106
  < 35: d_y2_d_x1 0.3555348 0.2690768 1.321 0.186397
  < 35: d_y3_d_x1 -0.2314672 0.3547120 -0.653 0.514047
  < 35: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 35: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 35: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 36: d_y1_d_x1 0.2773369 0.2566676 1.081 0.279907
  < 36: d_y2_d_x1 0.2492938 0.1658484 1.503 0.132802
  < 36: d_y3_d_x1 -0.1966417 0.2609750 -0.753 0.451156
  < 36: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 36: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 36: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 37: d_y1_d_x1 0.4389320 0.3947837 1.112 0.266212
  < 37: d_y2_d_x1 0.0462905 0.0763579 0.606 0.544361
  < 37: d_y3_d_x1 -0.0570830 0.1232246 -0.463 0.643190
  < 37: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 37: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 37: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 38: d_y1_d_x1 0.3018128 0.2585160 1.167 0.243016
  < 38: d_y2_d_x1 0.2153237 0.1483111 1.452 0.146547
  < 38: d_y3_d_x1 -0.1781921 0.2371710 -0.751 0.452458
  < 38: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 38: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 38: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 39: d_y1_d_x1 0.1371449 0.2720930 0.504 0.614235
  < 39: d_y2_d_x1 0.3505917 0.2720688 1.289 0.197532
  < 39: d_y3_d_x1 -0.2227438 0.3554752 -0.627 0.530916
  < 39: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 39: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 39: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 40: d_y1_d_x1 0.4465709 0.4095064 1.091 0.275488
  < 40: d_y2_d_x1 0.0392561 0.0698285 0.562 0.573994
  < 40: d_y3_d_x1 -0.0502931 0.1151867 -0.437 0.662385
  < 40: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 40: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 40: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 41: d_y1_d_x1 0.4219069 0.3651066 1.156 0.247856
  < 41: d_y2_d_x1 0.0630267 0.0890493 0.708 0.479086
  < 41: d_y3_d_x1 -0.0722550 0.1390779 -0.520 0.603392
  < 41: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 41: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 41: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 42: d_y1_d_x1 0.3284262 0.2671513 1.229 0.218935
  < 42: d_y2_d_x1 0.1781714 0.1339130 1.331 0.183353
  < 42: d_y3_d_x1 -0.1560831 0.2131300 -0.732 0.463963
  < 42: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 42: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 42: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 43: d_y1_d_x1 0.2554630 0.2586381 0.988 0.323288
  < 43: d_y2_d_x1 0.2783452 0.1850939 1.504 0.132631
  < 43: d_y3_d_x1 -0.2109684 0.2828626 -0.746 0.455768
  < 43: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 43: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 43: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 44: d_y1_d_x1 0.0900840 0.2485732 0.362 0.717050
  < 44: d_y2_d_x1 0.2913294 0.2436143 1.196 0.231750
  < 44: d_y3_d_x1 -0.1763760 0.3242905 -0.544 0.586522
  < 44: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 44: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 44: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 45: d_y1_d_x1 0.4704353 0.4644735 1.013 0.311139
  < 45: d_y2_d_x1 0.0187548 0.0445010 0.421 0.673428
  < 45: d_y3_d_x1 -0.0283745 0.0827987 -0.343 0.731830
  < 45: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 45: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 45: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 46: d_y1_d_x1 0.0938576 0.2517092 0.373 0.709237
  < 46: d_y2_d_x1 0.2989732 0.2477794 1.207 0.227582
  < 46: d_y3_d_x1 -0.1815614 0.3288723 -0.552 0.580899
  < 46: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 46: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 46: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 47: d_y1_d_x1 0.4354701 0.5747818 0.758 0.448674
  < 47: d_y2_d_x1 0.0003744 0.0021157 0.177 0.859520
  < 47: d_y3_d_x1 -0.0012822 0.0084651 -0.151 0.879610
  < 47: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 47: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 47: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 48: d_y1_d_x1 0.4802739 0.5000999 0.960 0.336876
  < 48: d_y2_d_x1 0.0095150 0.0278864 0.341 0.732948
  < 48: d_y3_d_x1 -0.0166858 0.0588771 -0.283 0.776869
  < 48: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 48: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 48: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 49: d_y1_d_x1 0.1536582 0.2741259 0.561 0.575112
  < 49: d_y2_d_x1 0.3553920 0.2700055 1.316 0.188094
  < 49: d_y3_d_x1 -0.2305049 0.3552365 -0.649 0.516418
  < 49: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 49: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 49: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 50: d_y1_d_x1 0.0470712 0.1891013 0.249 0.803422
  < 50: d_y2_d_x1 0.1641021 0.1770544 0.927 0.354007
  < 50: d_y3_d_x1 -0.0979596 0.2352556 -0.416 0.677120
  < 50: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 50: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 50: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  ---
  > 1: d_y1_d_x1 0.3229492 0.1969184 1.640 0.10100
  > 1: d_y2_d_x1 0.3836677 0.2615002 1.467 0.14233
  > 1: d_y3_d_x1 -0.3169556 0.2944299 -1.077 0.28170
  > 1: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 1: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 1: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 2: d_y1_d_x1 0.2429446 0.2037656 1.192 0.23315
  > 2: d_y2_d_x1 0.3993798 0.3154487 1.266 0.20549
  > 2: d_y3_d_x1 -0.3301446 0.3079400 -1.072 0.28367
  > 2: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 2: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 2: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 3: d_y1_d_x1 0.2388602 0.2048984 1.166 0.24372
  > 3: d_y2_d_x1 0.3982789 0.3163614 1.259 0.20805
  > 3: d_y3_d_x1 -0.3297836 0.3073036 -1.073 0.28320
  > 3: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 3: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 3: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 4: d_y1_d_x1 0.4010840 0.2737181 1.465 0.14283
  > 4: d_y2_d_x1 0.0557836 0.1120191 0.498 0.61850
  > 4: d_y3_d_x1 -0.0842058 0.1161738 -0.725 0.46856
  > 4: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 4: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 4: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 5: d_y1_d_x1 0.1883227 0.2178782 0.864 0.38740
  > 5: d_y2_d_x1 0.3691077 0.3092617 1.194 0.23267
  > 5: d_y3_d_x1 -0.3165704 0.2885639 -1.097 0.27262
  > 5: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 5: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 5: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 6: d_y1_d_x1 0.3702088 0.2479950 1.493 0.13549
  > 6: d_y2_d_x1 0.0348830 0.0858155 0.406 0.68438
  > 6: d_y3_d_x1 -0.0614131 0.1004444 -0.611 0.54093
  > 6: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 6: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 6: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 7: d_y1_d_x1 0.0103208 0.0578293 0.178 0.85835
  > 7: d_y2_d_x1 0.0220459 0.0389256 0.566 0.57115
  > 7: d_y3_d_x1 -0.0531236 0.0945413 -0.562 0.57418
  > 7: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 7: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 7: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 8: d_y1_d_x1 0.4007101 0.2513387 1.594 0.11087
  > 8: d_y2_d_x1 0.2907940 0.1839648 1.581 0.11395
  > 8: d_y3_d_x1 -0.2596189 0.2327124 -1.116 0.26458
  > 8: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 8: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 8: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 9: d_y1_d_x1 0.2866645 0.1948097 1.472 0.14115
  > 9: d_y2_d_x1 0.3996281 0.2934836 1.362 0.17330
  > 9: d_y3_d_x1 -0.3277370 0.3066371 -1.069 0.28516
  > 9: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 9: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 9: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 10: d_y1_d_x1 0.3126554 0.1950652 1.603 0.10897
  > 10: d_y2_d_x1 0.3897239 0.2715355 1.435 0.15121
  > 10: d_y3_d_x1 -0.3208544 0.2989128 -1.073 0.28309
  > 10: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 10: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 10: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 11: d_y1_d_x1 0.3559815 0.2109879 1.687 0.09156 .
  > 11: d_y2_d_x1 0.3554683 0.2265475 1.569 0.11663
  > 11: d_y3_d_x1 -0.2994680 0.2745089 -1.091 0.27531
  > 11: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 11: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 11: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 12: d_y1_d_x1 0.1219655 0.2167209 0.563 0.57359
  > 12: d_y2_d_x1 0.2849034 0.2455108 1.160 0.24586
  > 12: d_y3_d_x1 -0.2706624 0.2345246 -1.154 0.24846
  > 12: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 12: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 12: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 13: d_y1_d_x1 0.1607955 0.2212149 0.727 0.46730
  > 13: d_y2_d_x1 0.3407304 0.2902802 1.174 0.24048
  > 13: d_y3_d_x1 -0.3019451 0.2699648 -1.118 0.26337
  > 13: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 13: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 13: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 14: d_y1_d_x1 0.0425054 0.1438735 0.295 0.76766
  > 14: d_y2_d_x1 0.1103218 0.1084386 1.017 0.30898
  > 14: d_y3_d_x1 -0.1487970 0.1464968 -1.016 0.30977
  > 14: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 14: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 14: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 15: d_y1_d_x1 0.0374443 0.1341184 0.279 0.78010
  > 15: d_y2_d_x1 0.0966391 0.0989303 0.977 0.32865
  > 15: d_y3_d_x1 -0.1367612 0.1410156 -0.970 0.33213
  > 15: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 15: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 15: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 16: d_y1_d_x1 0.3364459 0.2011069 1.673 0.09433 .
  > 16: d_y2_d_x1 0.3738146 0.2475442 1.510 0.13102
  > 16: d_y3_d_x1 -0.3107708 0.2873205 -1.082 0.27942
  > 16: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 16: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 16: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 17: d_y1_d_x1 0.3723866 0.2229194 1.670 0.09482 .
  > 17: d_y2_d_x1 0.3359156 0.2092497 1.605 0.10842
  > 17: d_y3_d_x1 -0.2875002 0.2613449 -1.100 0.27130
  > 17: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 17: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 17: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 18: d_y1_d_x1 0.2663399 0.1979782 1.345 0.17853
  > 18: d_y2_d_x1 0.4021326 0.3063279 1.313 0.18927
  > 18: d_y3_d_x1 -0.3302751 0.3090795 -1.069 0.28526
  > 18: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 18: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 18: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 19: d_y1_d_x1 0.4376430 0.3057075 1.432 0.15227
  > 19: d_y2_d_x1 0.1696360 0.1652745 1.026 0.30471
  > 19: d_y3_d_x1 -0.1789464 0.1684535 -1.062 0.28810
  > 19: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 19: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 19: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 20: d_y1_d_x1 0.2241586 0.2203192 1.017 0.30895
  > 20: d_y2_d_x1 0.0042037 0.0189008 0.222 0.82400
  > 20: d_y3_d_x1 -0.0149535 0.0440352 -0.340 0.73417
  > 20: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 20: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 20: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 21: d_y1_d_x1 0.1243686 0.2174053 0.572 0.56728
  > 21: d_y2_d_x1 0.2889116 0.2488541 1.161 0.24565
  > 21: d_y3_d_x1 -0.2730094 0.2369908 -1.152 0.24933
  > 21: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 21: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 21: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 22: d_y1_d_x1 0.0007459 0.0072977 0.102 0.91859
  > 22: d_y2_d_x1 0.0006998 0.0029467 0.237 0.81229
  > 22: d_y3_d_x1 -0.0057940 0.0229384 -0.253 0.80058
  > 22: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 22: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 22: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 23: d_y1_d_x1 0.4382229 0.3090674 1.418 0.15622
  > 23: d_y2_d_x1 0.1426446 0.1604881 0.889 0.37410
  > 23: d_y3_d_x1 -0.1589837 0.1565509 -1.016 0.30985
  > 23: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 23: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 23: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 24: d_y1_d_x1 0.0830536 0.1955292 0.425 0.67101
  > 24: d_y2_d_x1 0.2095390 0.1829217 1.146 0.25200
  > 24: d_y3_d_x1 -0.2234026 0.1914376 -1.167 0.24322
  > 24: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 24: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 24: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 25: d_y1_d_x1 0.0865904 0.1983706 0.437 0.66247
  > 25: d_y2_d_x1 0.2172090 0.1891481 1.148 0.25082
  > 25: d_y3_d_x1 -0.2285086 0.1954931 -1.169 0.24245
  > 25: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 25: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 25: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 26: d_y1_d_x1 0.4378383 0.3091474 1.416 0.15669
  > 26: d_y2_d_x1 0.1365703 0.1589866 0.859 0.39034
  > 26: d_y3_d_x1 -0.1543408 0.1539501 -1.003 0.31608
  > 26: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 26: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 26: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 27: d_y1_d_x1 0.1729600 0.2202574 0.785 0.43230
  > 27: d_y2_d_x1 0.3543882 0.3000078 1.181 0.23750
  > 27: d_y3_d_x1 -0.3091116 0.2788965 -1.108 0.26772
  > 27: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 27: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 27: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 28: d_y1_d_x1 0.0257894 0.1073759 0.240 0.81019
  > 28: d_y2_d_x1 0.0644472 0.0761722 0.846 0.39751
  > 28: d_y3_d_x1 -0.1055972 0.1270193 -0.831 0.40578
  > 28: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 28: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 28: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 29: d_y1_d_x1 0.3029664 0.1942862 1.559 0.11891
  > 29: d_y2_d_x1 0.3943070 0.2803474 1.406 0.15958
  > 29: d_y3_d_x1 -0.3239068 0.3023941 -1.071 0.28411
  > 29: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 29: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 29: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 30: d_y1_d_x1 0.2118732 0.2124133 0.997 0.31854
  > 30: d_y2_d_x1 0.3863182 0.3169271 1.219 0.22286
  > 30: d_y3_d_x1 -0.3247953 0.2998024 -1.083 0.27865
  > 30: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 30: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 30: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 31: d_y1_d_x1 0.2527667 0.2011528 1.257 0.20890
  > 31: d_y2_d_x1 0.4012708 0.3124087 1.284 0.19899
  > 31: d_y3_d_x1 -0.3305991 0.3089367 -1.070 0.28457
  > 31: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 31: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 31: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 32: d_y1_d_x1 0.3573774 0.2118731 1.687 0.09165 .
  > 32: d_y2_d_x1 0.3539601 0.2250456 1.573 0.11576
  > 32: d_y3_d_x1 -0.2985441 0.2734764 -1.092 0.27498
  > 32: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 32: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 32: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 33: d_y1_d_x1 0.1516903 0.2212870 0.685 0.49303
  > 33: d_y2_d_x1 0.3293285 0.2816236 1.169 0.24225
  > 33: d_y3_d_x1 -0.2958065 0.2625654 -1.127 0.25991
  > 33: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 33: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 33: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 34: d_y1_d_x1 0.4109694 0.2640717 1.556 0.11964
  > 34: d_y2_d_x1 0.2693770 0.1773855 1.519 0.12886
  > 34: d_y3_d_x1 -0.2461064 0.2199809 -1.119 0.26324
  > 34: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 34: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 34: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 35: d_y1_d_x1 0.1897255 0.2176062 0.872 0.38328
  > 35: d_y2_d_x1 0.3703130 0.3099381 1.195 0.23217
  > 35: d_y3_d_x1 -0.3171667 0.2893553 -1.096 0.27303
  > 35: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 35: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 35: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 36: d_y1_d_x1 0.3438410 0.2043023 1.683 0.09237 .
  > 36: d_y2_d_x1 0.3674585 0.2396459 1.533 0.12519
  > 36: d_y3_d_x1 -0.3068357 0.2828260 -1.085 0.27797
  > 36: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 36: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 36: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 37: d_y1_d_x1 0.4348121 0.3071966 1.415 0.15695
  > 37: d_y2_d_x1 0.1159358 0.1523350 0.761 0.44662
  > 37: d_y3_d_x1 -0.1380751 0.1452016 -0.951 0.34164
  > 37: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 37: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 37: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 38: d_y1_d_x1 0.3693685 0.2204735 1.675 0.09387 .
  > 38: d_y2_d_x1 0.3398245 0.2123516 1.600 0.10953
  > 38: d_y3_d_x1 -0.2898933 0.2639391 -1.098 0.27206
  > 38: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 38: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 38: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 39: d_y1_d_x1 0.1625955 0.2211322 0.735 0.46217
  > 39: d_y2_d_x1 0.3428643 0.2918528 1.175 0.24008
  > 39: d_y3_d_x1 -0.3030787 0.2713560 -1.117 0.26404
  > 39: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 39: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 39: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 40: d_y1_d_x1 0.4310083 0.3036672 1.419 0.15580
  > 40: d_y2_d_x1 0.1021310 0.1462658 0.698 0.48502
  > 40: d_y3_d_x1 -0.1266963 0.1392940 -0.910 0.36305
  > 40: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 40: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 40: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 41: d_y1_d_x1 0.4383603 0.3088804 1.419 0.15584
  > 41: d_y2_d_x1 0.1464601 0.1613405 0.908 0.36400
  > 41: d_y3_d_x1 -0.1618696 0.1581962 -1.023 0.30620
  > 41: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 41: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 41: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 42: d_y1_d_x1 0.3938190 0.2435193 1.617 0.10584
  > 42: d_y2_d_x1 0.3033933 0.1892822 1.603 0.10897
  > 42: d_y3_d_x1 -0.2674705 0.2404638 -1.112 0.26600
  > 42: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 42: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 42: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 43: d_y1_d_x1 0.3189542 0.1960673 1.627 0.10379
  > 43: d_y2_d_x1 0.3861652 0.2654683 1.455 0.14576
  > 43: d_y3_d_x1 -0.3185505 0.2962658 -1.075 0.28228
  > 43: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 43: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 43: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 44: d_y1_d_x1 0.0971787 0.2056705 0.472 0.63657
  > 44: d_y2_d_x1 0.2391890 0.2072537 1.154 0.24846
  > 44: d_y3_d_x1 -0.2427451 0.2075624 -1.170 0.24220
  > 44: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 44: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 44: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 45: d_y1_d_x1 0.4025241 0.2750818 1.463 0.14339
  > 45: d_y2_d_x1 0.0571279 0.1134119 0.504 0.61446
  > 45: d_y3_d_x1 -0.0855674 0.1170016 -0.731 0.46457
  > 45: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 45: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 45: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 46: d_y1_d_x1 0.1023270 0.2086179 0.490 0.62378
  > 46: d_y2_d_x1 0.2493443 0.2157179 1.156 0.24773
  > 46: d_y3_d_x1 -0.2491363 0.2133487 -1.168 0.24291
  > 46: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 46: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 46: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 47: d_y1_d_x1 0.1866549 0.2239000 0.834 0.40448
  > 47: d_y2_d_x1 0.0021906 0.0112184 0.195 0.84518
  > 47: d_y3_d_x1 -0.0097002 0.0326790 -0.297 0.76660
  > 47: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 47: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 47: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 48: d_y1_d_x1 0.3664196 0.2453495 1.493 0.13532
  > 48: d_y2_d_x1 0.0330393 0.0830093 0.398 0.69062
  > 48: d_y3_d_x1 -0.0592154 0.0986854 -0.600 0.54848
  > 48: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 48: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 48: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 49: d_y1_d_x1 0.1856984 0.2183644 0.850 0.39510
  > 49: d_y2_d_x1 0.3667908 0.3079205 1.191 0.23358
  > 49: d_y3_d_x1 -0.3154174 0.2870419 -1.099 0.27183
  > 49: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 49: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 49: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 50: d_y1_d_x1 0.0417272 0.1424363 0.293 0.76956
  > 50: d_y2_d_x1 0.1082331 0.1069829 1.012 0.31169
  > 50: d_y3_d_x1 -0.1469973 0.1456618 -1.009 0.31289
  > 50: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 50: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 50: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  1780,1781c1833,1834
  < 50 0.04707121 0.1641021 -0.09795955 -0.08750418 -0.4510703 0.3323667
  < mean 0.24176261 0.2063106 -0.14712190 -0.16157088 -0.3365191 0.3411523
  ---
  > 50 0.04172722 0.1082331 -0.1469973 -0.1058940 -0.3177685 0.3395679
  > mean 0.25305226 0.2459298 -0.2259482 -0.2385306 -0.3379456 0.3143112
  1788,1789c1841,1842
  < 50 0.03575932 -0.006530021 0.03205388 -0.03680704 0.0055313605 -0.046033715
  < mean 0.05181638 0.005544625 0.02686191 0.01209921 -0.0003373278 0.004747594
  ---
  > 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
  1794,1795c1847,1848
  < 50 -0.006530021 0.03134826 -0.0002233093 0.005910051 -0.032254769
  < mean 0.005544625 0.02149469 0.0008032002 -0.001042066 0.004473247
  ---
  > 50 -0.002813578 0.01144533 -0.006468166 0.005122685 -0.020284870
  > mean -0.007930409 0.02591722 0.006303994 -0.001479403 0.002586458
  1797,1798c1850,1851
  < 50 -0.001776497
  < mean -0.001548843
  ---
  > 50 0.003782239
  > mean -0.005399069
  1802,1804c1855,1860
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 0.03205388 -0.0002233093 0.05534519 -0.034474459 -0.004887441 -0.07313663
  < mean 0.02686191 0.0008032002 0.05001475 0.004671745 -0.002444856 0.01524489
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 -0.001572159 -0.006468166 0.02121735 0.002631792 0.008918785
  > mean -0.001681515 0.006303994 0.03729586 -0.001273756 -0.002646520
  > d_y3_d_x2
  > 50 -0.015842908
  > mean 0.002036567
  1808,1810c1864,1869
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 -0.03680704 0.005910051 -0.034474459 0.03855915 -0.0043005605 0.04999809
  < mean 0.01209921 -0.001042066 0.004671745 0.01004515 -0.0004811395 0.00214320
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 -0.031743940 0.005122685 0.002631792 0.050169955 -0.0241270415
  > mean 0.002256626 -0.001479403 -0.001273756 0.005158698 0.0005432138
  > d_y3_d_x2
  > 50 -0.003698285
  > mean 0.001211321
  1815,1816c1874,1875
  < 50 0.0055313605 -0.032254769 -0.004887441 -0.0043005605 0.045945596
  < mean -0.0003373278 0.004473247 -0.002444856 -0.0004811395 0.003799413
  ---
  > 50 0.0142068618 -0.020284870 0.008918785 -0.0241270415 0.046770483
  > mean 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.001989406
  1818,1819c1877,1878
  < 50 0.0072047476
  < mean -0.0002453021
  ---
  > 50 -0.004816119
  > mean -0.001093343
  1823,1825c1882,1887
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 -0.046033715 -0.001776497 -0.07313663 0.04999809 0.0072047476 0.10395993
  < mean 0.004747594 -0.001548843 0.01524489 0.00214320 -0.0002453021 0.01075508
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
  > mean 0.002957937 -0.005399069 0.002036567 0.001211321 -0.001093343
  > d_y3_d_x2
  > 50 0.019248488
  > mean 0.005235179
  1829,1834c1891,1896
  < d_y1_d_x1 0.0518163822 0.0055446252 0.0268619052 0.0120992120 -0.0003373278
  < d_y2_d_x1 0.0055446252 0.0214946852 0.0008032002 -0.0010420661 0.0044732469
  < d_y3_d_x1 0.0268619052 0.0008032002 0.0500147541 0.0046717449 -0.0024448559
  < d_y1_d_x2 0.0120992120 -0.0010420661 0.0046717449 0.0100451481 -0.0004811395
  < d_y2_d_x2 -0.0003373278 0.0044732469 -0.0024448559 -0.0004811395 0.0037994127
  < d_y3_d_x2 0.0047475939 -0.0015488434 0.0152448871 0.0021432001 -0.0002453021
  ---
  > 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
  1836,1841c1898,1903
  < d_y1_d_x1 0.0047475939
  < d_y2_d_x1 -0.0015488434
  < d_y3_d_x1 0.0152448871
  < d_y1_d_x2 0.0021432001
  < d_y2_d_x2 -0.0002453021
  < d_y3_d_x2 0.0107550826
  ---
  > 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
  1848,1849c1910,1911
  < 50 -0.09578174 0 0 0.14516394 0 0
  < mean -0.17841253 0 0 0.09176614 0 0
  ---
  > 50 -0.08621442 0 0 0.18081872 0 0
  > mean -0.11555729 0 0 0.08871062 0 0
  1854,1855c1916,1917
  < 50 0.005139274 0 0 0.00000000 0 0
  < mean 0.098175517 0 0 0.04757681 0 0
  ---
  > 50 0.006502259 0 0 0.00000000 0 0
  > mean 0.154762044 0 0 0.06486142 0 0
  1860,1861c1922,1923
  < 50 0.09831238 0 0 -0.04799717 0 0
  < mean -0.01487335 0 0 0.17763197 0 0
  ---
  > 50 0.08849228 0 0 -0.09292049 0 0
  > mean 0.05335740 0 0 0.16351750 0 0
  1866,1867c1928,1929
  < 50 0 -0.19713241 0 0 0.37278082 0
  < mean 0 0.03725597 0 0 -0.04183896 0
  ---
  > 50 0 -0.167907668 0 0 0.371170187 0
  > mean 0 0.003481499 0 0 -0.001743184 0
  1872,1873c1934,1935
  < 50 0 0.08632207 0 0 0.00000000 0
  < mean 0 0.23614993 0 0 0.01875714 0
  ---
  > 50 0 0.03369144 0 0 0.00000000 0
  > mean 0 0.22633598 0 0 0.04748192 0
  1878,1879c1940,1941
  < 50 0 0.20234082 0 0 -0.09939672 0
  < mean 0 0.06997882 0 0 0.09685730 0
  ---
  > 50 0 0.1723439 0 0 -0.17954595 0
  > mean 0 0.0907140 0 0 0.08276367 0
  1884,1885c1946,1947
  < 50 0 0 -0.12780455 0 0 0.34709511
  < mean 0 0 0.01584529 0 0 -0.03030096
  ---
  > 50 0 0 -0.18169300 0 0 0.30059023
  > mean 0 0 0.01121233 0 0 -0.01301531
  1890,1891c1952,1953
  < 50 0 0 0.1033959 0 0 0.00000000
  < mean 0 0 0.2504338 0 0 0.01919233
  ---
  > 50 0 0 0.08789435 0 0 0.00000000
  > mean 0 0 0.26243481 0 0 0.03619013
  1896,1897c1958,1959
  < 50 0 0 0.13118126 0 0 -0.1251915
  < mean 0 0 0.05550565 0 0 0.1054551
  ---
  > 50 0 0 0.18649349 0 0 -0.03897388
  > mean 0 0 0.08964001 0 0 0.12386551
  1919,1924c1981,1986
  < d_y1_d_x1 -0.17841253 0.09817552 -0.01487335 0.00000000 0.00000000 0.00000000
  < d_y2_d_x1 0.00000000 0.00000000 0.00000000 0.03725597 0.23614993 0.06997882
  < d_y3_d_x1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
  < d_y1_d_x2 0.09176614 0.04757681 0.17763197 0.00000000 0.00000000 0.00000000
  < d_y2_d_x2 0.00000000 0.00000000 0.00000000 -0.04183896 0.01875714 0.09685730
  < d_y3_d_x2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
  ---
  > d_y1_d_x1 -0.11555729 0.15476204 0.0533574 0.000000000 0.00000000 0.00000000
  > d_y2_d_x1 0.00000000 0.00000000 0.0000000 0.003481499 0.22633598 0.09071400
  > d_y3_d_x1 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
  > d_y1_d_x2 0.08871062 0.06486142 0.1635175 0.000000000 0.00000000 0.00000000
  > d_y2_d_x2 0.00000000 0.00000000 0.0000000 -0.001743184 0.04748192 0.08276367
  > d_y3_d_x2 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
  1928c1990
  < d_y3_d_x1 0.01584529 0.25043378 0.05550565 0 0 0
  ---
  > d_y3_d_x1 0.01121233 0.26243481 0.08964001 0 0 0
  1931c1993
  < d_y3_d_x2 -0.03030096 0.01919233 0.10545506 0 0 0
  ---
  > d_y3_d_x2 -0.01301531 0.03619013 0.12386551 0 0 0
  1937,1948c1999,2010
  < 50: d_y1_d_x1 0.047071 0.189101 0.2489 0.803422
  < 50: d_y2_d_x1 0.164102 0.177054 0.9268 0.354007
  < 50: d_y3_d_x1 -0.097960 0.235256 -0.4164 0.677120
  < 50: d_y1_d_x2 -0.087504 0.196365 -0.4456 0.655871
  < 50: d_y2_d_x2 -0.451070 0.214349 -2.1044 0.035346 *
  < 50: d_y3_d_x2 0.332367 0.322428 1.0308 0.302623
  < mean: d_y1_d_x1 0.241763 0.227632 1.0621 0.288201
  < mean: d_y2_d_x1 0.206311 0.146611 1.4072 0.159368
  < mean: d_y3_d_x1 -0.147122 0.223640 -0.6579 0.510633
  < mean: d_y1_d_x2 -0.161571 0.100225 -1.6121 0.106946
  < mean: d_y2_d_x2 -0.336519 0.061639 -5.4595 4.775e-08 ***
  < mean: d_y3_d_x2 0.341152 0.103707 3.2896 0.001003 **
  ---
  > 50: d_y1_d_x1 0.041727 0.142436 0.2930 0.7695577
  > 50: d_y2_d_x1 0.108233 0.106983 1.0117 0.3116880
  > 50: d_y3_d_x1 -0.146997 0.145662 -1.0092 0.3128935
  > 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 *
  > mean: d_y1_d_x1 0.253052 0.148510 1.7039 0.0883925 .
  > mean: d_y2_d_x1 0.245930 0.160988 1.5276 0.1266055
  > mean: d_y3_d_x1 -0.225948 0.193121 -1.1700 0.2420090
  > 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 ***
  1956,1961c2018,2023
  < d_y1_d_x1 0.2341 0.2626 0.892 0.37254
  < d_y2_d_x1 0.3043 0.2061 1.476 0.13983
  < d_y3_d_x1 -0.2224 0.3037 -0.732 0.46411
  < d_y1_d_x2 -0.1561 0.1527 -1.022 0.30661
  < d_y2_d_x2 -0.5314 0.1830 -2.904 0.00368 **
  < d_y3_d_x2 0.5387 0.3136 1.718 0.08584 .
  ---
  > d_y1_d_x1 0.2931 0.1944 1.508 0.1315
  > d_y2_d_x1 0.3979 0.2886 1.379 0.1680
  > d_y3_d_x1 -0.3264 0.3052 -1.070 0.2848
  > d_y1_d_x2 -0.2967 0.1257 -2.361 0.0183 *
  > d_y2_d_x2 -0.6194 0.2474 -2.504 0.0123 *
  > d_y3_d_x2 0.4942 0.2616 1.890 0.0588 .
  1973,2023c2035,2136
  < 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 0.237948601 5.209182e-02 -0.385563554 -0.333973247 -9.919227e-02 0.621982377
  < 2 0.163459528 2.956930e-01 -0.261033470 -0.271016697 -4.158830e-01 0.504193930
  < 3 0.335770813 2.837540e-01 -0.261474881 -0.089545787 -5.538163e-01 0.537158464
  < 4 0.477102444 1.930096e-02 -0.021110217 -0.251615044 -7.911699e-02 0.087772555
  < 5 0.132357415 2.917055e-01 -0.226042621 -0.019785404 -5.024037e-01 0.460696582
  < 6 0.484424012 1.138052e-02 -0.011739162 -0.275777961 -4.970241e-02 0.053269553
  < 7 0.015609743 4.052613e-02 -0.027259431 -0.000968793 -2.217208e-02 0.032232221
  < 8 0.331384783 2.971380e-02 -0.344602337 -0.373998328 -4.671881e-02 0.419964330
  < 9 0.202556381 2.652770e-01 -0.249852121 -0.307375068 -3.464924e-01 0.431957005
  < 10 0.227502144 2.430347e-01 -0.237888049 -0.326887042 -3.038976e-01 0.381902272
  < 11 0.100501787 1.996777e-01 -0.213170946 -0.014114884 -5.029095e-01 0.513569144
  < 12 0.071326311 3.093958e-01 -0.225118190 -0.006993304 -4.414619e-01 0.408692465
  < 13 0.029025951 3.203844e-01 -0.213997503 -0.001941918 -5.148046e-01 0.422537012
  < 14 0.040230739 1.451706e-01 -0.094114140 -0.003621354 -1.317432e-01 0.144539515
  < 15 0.102360473 1.953716e-01 -0.033443765 -0.132863716 -5.252904e-01 0.128709155
  < 16 0.252126094 2.202077e-01 -0.222969734 -0.059118519 -5.310845e-01 0.519165598
  < 17 0.293313272 1.810601e-01 -0.192808800 -0.079000881 -4.737400e-01 0.478327355
  < 18 0.367726015 2.725465e-01 -0.256514911 -0.443342978 -4.267679e-01 0.467637683
  < 19 0.413701862 7.124159e-02 -0.083148934 -0.165436605 -2.377473e-01 0.264264707
  < 20 0.455817325 1.677120e-04 -0.005293063 -0.208089604 -7.193636e-05 0.002337890
  < 21 0.205214789 2.691854e-01 -0.226964221 -0.279471934 -5.376242e-01 0.575125038
  < 22 0.002734296 1.933737e-03 -0.001687782 -0.007199303 -1.002043e-02 0.008812482
  < 23 0.430217379 5.764147e-02 -0.067132653 -0.366004607 -4.885980e-02 0.046755316
  < 24 0.065827300 2.249876e-01 -0.151196931 -0.108276444 -5.060823e-01 0.452619350
  < 25 0.068000354 2.300003e-01 -0.155199983 -0.111447058 -5.112703e-01 0.460887669
  < 26 0.433802720 1.046374e-02 -0.183099496 -0.364361994 -1.181716e-02 0.152591187
  < 27 0.122132361 2.901549e-01 -0.219878165 -0.017545516 -4.790363e-01 0.440473252
  < 28 0.028555790 9.663640e-02 -0.062658335 -0.002254089 -7.280186e-02 0.087610658
  < 29 0.217928774 2.516611e-01 -0.242923101 -0.319924445 -3.198631e-01 0.401080569
  < 30 0.148553371 2.902754e-01 -0.232923218 -0.023586544 -5.311578e-01 0.486618332
  < 31 0.056832531 2.897002e-01 -0.237999426 -0.005598176 -5.832407e-01 0.517545455
  < 32 0.275400905 4.249574e-02 -0.382503443 -0.355049152 -7.539446e-02 0.552980713
  < 33 0.236105595 2.843638e-01 -0.244274599 -0.046916652 -4.405031e-01 0.457886926
  < 34 0.136786196 1.300153e-01 -0.169995308 -0.023496902 -3.776785e-01 0.442249007
  < 35 0.133303657 2.917442e-01 -0.226537913 -0.019998871 -5.043546e-01 0.462411008
  < 36 0.458747430 2.204993e-01 -0.217557920 -0.178945078 -5.393061e-01 0.512614522
  < 37 0.445745734 4.498101e-02 -0.052106489 -0.200689220 -1.630679e-01 0.184008479
  < 38 0.289613261 1.845895e-01 -0.195742387 -0.361287310 -2.083524e-01 0.258880372
  < 39 0.115366049 2.878609e-01 -0.214925382 -0.176903316 -5.289248e-01 0.551777607
  < 40 0.453502177 7.276832e-03 -0.138948785 -0.352310591 -7.384951e-03 0.104709232
  < 41 0.427950075 1.143812e-02 -0.195341973 -0.366972893 -1.326983e-02 0.167222087
  < 42 0.321442859 1.543479e-01 -0.169330729 -0.371728466 -1.651663e-01 0.200311876
  < 43 0.233858992 2.372180e-01 -0.234296837 -0.331262390 -2.934677e-01 0.369121118
  < 44 0.074498258 2.435026e-01 -0.166418824 -0.008502710 -3.086721e-01 0.298512541
  < 45 0.476513820 1.982993e-02 -0.021744718 -0.250236721 -8.100277e-02 0.089982600
  < 46 0.077659343 2.493065e-01 -0.171482436 -0.125369003 -5.279846e-01 0.492360418
  < 47 0.435951664 7.923282e-05 -0.002696707 -0.183105627 -2.969716e-05 0.001136141
  < 48 0.484807987 1.868755e-03 -0.044845305 -0.299511537 -1.325704e-03 0.025623065
  < 49 0.130593018 2.915882e-01 -0.225086115 -0.019390183 -4.986721e-01 0.457430312
  < 50 0.039712638 1.431535e-01 -0.092775365 -0.069232999 -3.856274e-01 0.312100195
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 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
  > 4 0.4122503068 0.0694645017 -0.053904996 -0.472083947 -0.2122800739
  > 5 0.1847060251 0.3084425402 -0.343223755 -0.060445211 -0.3646545059
  > 6 0.3787985991 0.0477528062 -0.033663433 -0.474756965 -0.1554861558
  > 7 0.0100311239 0.0209668055 -0.053506160 -0.001106247 -0.0060166004
  > 8 0.4110128568 0.1322373739 -0.403457904 -0.470548414 -0.1341642415
  > 9 0.1474786224 0.3575139395 -0.360949264 -0.264433849 -0.4844316876
  > 10 0.3116938786 0.3484655128 -0.361307997 -0.453660745 -0.4473769719
  > 11 0.2058976401 0.3200081428 -0.328883694 -0.079864895 -0.5893156417
  > 12 0.1177334095 0.2436538298 -0.287657466 -0.031148920 -0.2231415107
  > 13 0.1471332486 0.3159154131 -0.349075440 -0.039228803 -0.3336039182
  > 14 0.0406336000 0.0999068773 -0.152735168 -0.007155819 -0.0531209314
  > 15 0.0358197254 0.0880153046 -0.139996990 -0.091958139 -0.2591680623
  > 16 0.1882725183 0.3350175752 -0.342159788 -0.067926448 -0.5870797947
  > 17 0.3833567161 0.2924153584 -0.314583141 -0.212937647 -0.5602548018
  > 18 0.3979220186 0.2666187493 -0.404805015 -0.513151557 -0.3701386058
  > 19 0.4437521979 0.1791338917 -0.160502351 -0.532987886 -0.4316406791
  > 20 0.2259756660 0.0022584118 -0.019229939 -0.089444084 -0.0005387236
  > 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
  > 37 0.4496318140 0.0515675468 -0.224907158 -0.429079174 -0.1533983305
  > 38 0.3756418193 0.3074074008 -0.313706240 -0.474844440 -0.3482839442
  > 39 0.0638654116 0.3176168542 -0.326350396 -0.154807067 -0.5696465233
  > 40 0.4453405495 0.0456337187 -0.205495492 -0.344289600 -0.0292378379
  > 41 0.4537160101 0.1514742551 -0.139238355 -0.391407408 -0.1245240635
  > 42 0.4031850053 0.1389606133 -0.411561969 -0.472975838 -0.1445333297
  > 43 0.3187527097 0.1953852747 -0.433867721 -0.457330982 -0.2461844889
  > 44 0.0933321287 0.2073153800 -0.255570394 -0.022420511 -0.1675168917
  > 45 0.4138250511 0.0262438003 -0.134437144 -0.471512840 -0.0877855065
  > 46 0.0320414287 0.2395251689 -0.262837614 -0.092981737 -0.5147062188
  > 47 0.1877038486 0.0012227798 -0.011951812 -0.066531222 -0.0002453633
  > 48 0.3747295025 0.0156619839 -0.089368038 -0.219843609 -0.0068112323
  > 49 0.1820121476 0.3066912948 -0.341751326 -0.059108011 -0.3594666853
  > 50 0.1059631810 0.0980984696 -0.167108498 -0.194204529 -0.2810062303
  > d_y3_d_x2
  > 1 0.360815947
  > 2 0.497693370
  > 3 0.453818047
  > 4 0.175490813
  > 5 0.390535156
  > 6 0.120618004
  > 7 0.028391238
  > 8 0.378315289
  > 9 0.445348474
  > 10 0.379760171
  > 11 0.524477068
  > 12 0.282396164
  > 13 0.371331912
  > 14 0.112653252
  > 15 0.334504219
  > 16 0.522126289
  > 17 0.522184293
  > 18 0.605611100
  > 19 0.385355560
  > 20 0.006078859
  > 21 0.528322176
  > 22 0.022043552
  > 23 0.167180007
  > 24 0.474967844
  > 25 0.512488332
  > 26 0.159487780
  > 27 0.368015826
  > 28 0.070192644
  > 29 0.574533205
  > 30 0.422114838
  > 31 0.493178952
  > 32 0.328691011
  > 33 0.334349642
  > 34 0.495369678
  > 35 0.392516250
  > 36 0.542851700
  > 37 0.512469883
  > 38 0.267731303
  > 39 0.541591920
  > 40 0.117148027
  > 41 0.061954778
  > 42 0.398801119
  > 43 0.554039712
  > 44 0.234531669
  > 45 0.362288294
  > 46 0.506043388
  > 47 0.003514004
  > 48 0.038239307
  > 49 0.386795047
  > 50 0.384142824
  2033c2146
  < 1 0.2084098 0.2600454 -0.247454 -0.1534087 -0.4659631 0.5140027
  ---
  > 1 0.2898572 0.3558136 -0.3706332 -0.2927278 -0.570811 0.5331238
  2038c2151
  < 1 0.02133708 -0.005429203 0.005264673 0.007125283 -0.002612324 -0.01597824
  ---
  > 1 0.02917825 -0.01501905 -0.02193211 -0.01396746 0.008000066 0.01931686
  2043c2156
  < 1 -0.005429203 0.04213257 0.007828535 -0.003555968 -0.00173234 0.01311724
  ---
  > 1 -0.01501905 0.05320172 0.0319124 0.01182735 -0.0241312 -0.03099196
  2048c2161
  < 1 0.005264673 0.007828535 0.05553577 -0.007830544 0.01140547 -0.00450245
  ---
  > 1 -0.02193211 0.0319124 0.1246049 0.0336234 -0.02175698 -0.07938726
  2053c2166
  < 1 0.007125283 -0.003555968 -0.007830544 0.03665704 0.0001053103 -0.04032423
  ---
  > 1 -0.01396746 0.01182735 0.0336234 0.02911258 -0.007133504 -0.02753816
  2058c2171
  < 1 -0.002612324 -0.00173234 0.01140547 0.0001053103 0.07721936 -0.007743565
  ---
  > 1 0.008000066 -0.0241312 -0.02175698 -0.007133504 0.06178181 -0.01312535
  2063c2176
  < 1 -0.01597824 0.01311724 -0.00450245 -0.04032423 -0.007743565 0.156267
  ---
  > 1 0.01931686 -0.03099196 -0.07938726 -0.02753816 -0.01312535 0.1127387
  2067,2072c2180,2185
  < d_y1_d_x1 0.021337080 -0.005429203 0.005264673 0.0071252831 -0.0026123239
  < d_y2_d_x1 -0.005429203 0.042132570 0.007828535 -0.0035559679 -0.0017323402
  < d_y3_d_x1 0.005264673 0.007828535 0.055535771 -0.0078305442 0.0114054711
  < d_y1_d_x2 0.007125283 -0.003555968 -0.007830544 0.0366570353 0.0001053103
  < d_y2_d_x2 -0.002612324 -0.001732340 0.011405471 0.0001053103 0.0772193553
  < d_y3_d_x2 -0.015978243 0.013117235 -0.004502450 -0.0403242315 -0.0077435648
  ---
  > 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
  2074,2079c2187,2192
  < d_y1_d_x1 -0.015978243
  < d_y2_d_x1 0.013117235
  < d_y3_d_x1 -0.004502450
  < d_y1_d_x2 -0.040324231
  < d_y2_d_x2 -0.007743565
  < d_y3_d_x2 0.156266974
  ---
  > 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
  2084c2197
  < 1 -0.2738331 0.02367391 0.03378244 0.2258939 -0.007587469 -0.0009828455
  ---
  > 1 -0.2756386 0.0364304 0.0215077 0.3042895 -0.03868758 -0.0142573
  2089c2202
  < 1 0.04166222 -0.008028791 -0.026931 0.1095382 -0.003351136 0.0005205534
  ---
  > 1 0.1088669 -0.01679466 -0.04018058 0.1456903 -0.01858427 -0.006984302
  2094c2207
  < 1 -0.04009143 0.003466056 0.004946029 0.1866375 -0.02313721 -0.05169832
  ---
  > 1 -0.04035577 0.005333712 0.003148906 0.2999736 -0.04553434 -0.06522682
  2099c2212
  < 1 0.02428165 0.1467226 0.01349259 -0.009596045 -0.2987735 -0.04080832
  ---
  > 1 0.02941159 0.02467612 0.002072237 -0.02415646 -0.06594595 -0.009121088
  2104c2217
  < 1 -0.006738843 0.3937124 0.03598476 -0.004687737 -0.1438699 -0.01976453
  ---
  > 1 -0.02144958 0.3747664 0.01507689 -0.0111527 -0.03157062 -0.004266047
  2109c2222
  < 1 0.003555033 0.0214814 0.001975426 -0.02143788 0.2865904 0.02503549
  ---
  > 1 0.0043061 0.003612788 0.0003033925 -0.04436203 0.3924182 0.01701016
  2114c2227
  < 1 0.05009095 0.0129611 0.1200418 -0.02950633 -0.0371882 -0.2670212
  ---
  > 1 0.03799907 -0.001971137 0.1107795 -0.03651136 -0.0007867617 -0.1786325
  2119c2232
  < 1 -0.01137697 0.03349914 0.4004722 -0.01440829 -0.01829285 -0.1288212
  ---
  > 1 -0.02673914 0.01016274 0.3997707 -0.01807419 -0.0004326831 -0.08606061
  2124c2237
  < 1 0.007333729 0.001897612 0.01757511 -0.04130392 0.02284953 0.3215554
  ---
  > 1 0.005563378 -0.0002885908 0.01621904 -0.06032818 0.013186 0.36048
  2129c2242
  < 1 0.037724 -0.04742407 -0.01250633 0.004041538 0.01754367 -0.02707975
  ---
  > 1 0.05911053 -0.1147012 9.086992e-05 0.002458758 0.1113038 -0.03156968
  2134c2247
  < 1 -0.1202531 5.015671e-05 -0.1526501 0.00997547 0.02340531 0.1012889
  ---
  > 1 -0.04741947 -0.002969002 -0.1719091 -0.02077546 0.01841092 0.1872539
  2139c2252
  < 1 0.002095667 0.1956486 -0.1913161 0.003502995 -0.4278575 0.3841938
  ---
  > 1 -0.001938164 0.2156583 -0.2744872 0.00173081 -0.3540987 0.4665918
  2143,2148c2256,2261
  < d_y1_d_x1 -0.2738330733 0.0416622163 -0.040091426 0.024281649 -0.006738843
  < d_y2_d_x1 0.0236739109 -0.0080287912 0.003466056 0.146722605 0.393712365
  < d_y3_d_x1 0.0337824442 -0.0269310011 0.004946029 0.013492589 0.035984757
  < d_y1_d_x2 0.2258938912 0.1095382271 0.186637468 -0.009596045 -0.004687737
  < d_y2_d_x2 -0.0075874688 -0.0033511363 -0.023137207 -0.298773457 -0.143869937
  < d_y3_d_x2 -0.0009828455 0.0005205534 -0.051698322 -0.040808316 -0.019764529
  ---
  > 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
  2150,2155c2263,2268
  < d_y1_d_x1 0.003555033 0.05009095 -0.01137697 0.007333729 0.037724002
  < d_y2_d_x1 0.021481402 0.01296110 0.03349914 0.001897612 -0.047424065
  < d_y3_d_x1 0.001975426 0.12004179 0.40047217 0.017575110 -0.012506328
  < d_y1_d_x2 -0.021437884 -0.02950633 -0.01440829 -0.041303922 0.004041538
  < d_y2_d_x2 0.286590372 -0.03718820 -0.01829285 0.022849532 0.017543672
  < d_y3_d_x2 0.025035489 -0.26702116 -0.12882121 0.321555442 -0.027079750
  ---
  > 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
  2157,2162c2270,2275
  < d_y1_d_x1 -1.202531e-01 0.002095667
  < d_y2_d_x1 5.015671e-05 0.195648574
  < d_y3_d_x1 -1.526501e-01 -0.191316054
  < d_y1_d_x2 9.975470e-03 0.003502995
  < d_y2_d_x2 2.340531e-02 -0.427857463
  < d_y3_d_x2 1.012889e-01 0.384193810
  ---
  > d_y1_d_x1 -0.047419474 -0.001938164
  > d_y2_d_x1 -0.002969002 0.215658265
  > d_y3_d_x1 -0.171909133 -0.274487242
  > d_y1_d_x2 -0.020775461 0.001730810
  > d_y2_d_x2 0.018410922 -0.354098693
  > d_y3_d_x2 0.187253948 0.466591818
  2165,2170c2278,2283
  < d_y1_d_x1 0.2084 0.1461 1.427 0.1536
  < d_y2_d_x1 0.2600 0.2053 1.267 0.2052
  < d_y3_d_x1 -0.2475 0.2357 -1.050 0.2937
  < d_y1_d_x2 -0.1534 0.1915 -0.801 0.4230
  < d_y2_d_x2 -0.4660 0.2779 -1.677 0.0936 .
  < d_y3_d_x2 0.5140 0.3953 1.300 0.1935
  ---
  > d_y1_d_x1 0.2899 0.1708 1.697 0.0897 .
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3706 0.3530 -1.050 0.2937
  > 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
  2187,2192c2300,2305
  < d_y1_d_x1 0.2015 0.1647 1.224 0.2210
  < d_y2_d_x1 0.2595 0.2087 1.243 0.2138
  < d_y3_d_x1 -0.2542 0.2537 -1.002 0.3163
  < d_y1_d_x2 -0.1534 0.1915 -0.801 0.4230
  < d_y2_d_x2 -0.4660 0.2779 -1.677 0.0936 .
  < d_y3_d_x2 0.5140 0.3953 1.300 0.1935
  ---
  > 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
  2202,2207c2315,2320
  < d_y1_d_x1 0.2084 0.1461 1.427 0.1536
  < d_y2_d_x1 0.2600 0.2053 1.267 0.2052
  < d_y3_d_x1 -0.2475 0.2357 -1.050 0.2937
  < d_y1_d_x2 -0.2322 0.2438 -0.952 0.3409
  < d_y2_d_x2 -0.3032 0.1621 -1.871 0.0614 .
  < d_y3_d_x2 0.3489 0.1533 2.276 0.0228 *
  ---
  > d_y1_d_x1 0.2899 0.1708 1.697 0.0897 .
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3706 0.3530 -1.050 0.2937
  > d_y1_d_x2 -0.3917 0.2790 -1.404 0.1603
  > d_y2_d_x2 -0.4423 0.1491 -2.967 0.0030 **
  > d_y3_d_x2 0.3928 0.1621 2.423 0.0154 *
  2217,2266c2330,2379
  < 1 8.445590e-02 0.233444267 -0.227319312 -1.330769e-01 -0.2868323854
  < 2 5.347037e-02 0.295693021 -0.237547223 -1.013043e-01 -0.4158830251
  < 3 5.210270e-02 0.298027842 -0.237218291 -4.874218e-03 -0.5816125748
  < 4 2.332293e-01 0.019300955 -0.047082702 -5.524686e-02 -0.0791169866
  < 5 3.653476e-02 0.318033987 -0.226042621 -2.782518e-03 -0.5499990735
  < 6 2.501248e-01 0.011380517 -0.031973122 -6.076987e-02 -0.0497024100
  < 7 5.658354e-04 0.069806340 -0.027259431 -3.685588e-06 -0.0454572899
  < 8 1.283988e-01 0.144984535 -0.180883748 -1.609154e-01 -0.1524839602
  < 9 6.930398e-02 0.265276992 -0.235917191 -1.190084e-01 -0.3464923902
  < 10 7.993476e-02 0.243034715 -0.230452375 -1.291492e-01 -0.3038976412
  < 11 1.005018e-01 0.199677666 -0.213170946 -1.411488e-02 -0.5029095436
  < 12 1.953028e-02 0.309395777 -0.188661651 -1.050589e-03 -0.4414619001
  < 13 2.902595e-02 0.320384445 -0.213997503 -1.941918e-03 -0.5148046374
  < 14 4.391820e-03 0.195152346 -0.094114140 -1.061634e-04 -0.1906645102
  < 15 3.666998e-03 0.180526039 -0.085202887 -1.269275e-02 -0.4433544837
  < 16 9.070026e-02 0.220207700 -0.222327111 -1.193118e-02 -0.5310845423
  < 17 1.096284e-01 0.181060095 -0.203462033 -1.628602e-02 -0.4737400241
  < 18 6.165728e-02 0.280587550 -0.237842585 -1.108721e-01 -0.3791929246
  < 19 1.758008e-01 0.071241590 -0.116855864 -3.558893e-02 -0.2377472994
  < 20 3.041671e-01 0.001137332 -0.005433292 -1.700872e-01 -0.0005317208
  < 21 2.008051e-02 0.310669313 -0.190546581 -5.032921e-02 -0.5563612304
  < 22 9.841767e-06 0.006087276 -0.001687782 -6.163763e-05 -0.0261783059
  < 23 1.872041e-01 0.057641473 -0.101508889 -1.745324e-01 -0.0488597971
  < 24 1.133124e-02 0.274287162 -0.151196931 -3.216076e-02 -0.5536482050
  < 25 1.201904e-02 0.278790163 -0.155199983 -3.370935e-02 -0.5562195928
  < 26 1.898761e-01 0.054693939 -0.097978273 -1.746603e-01 -0.0458589151
  < 27 3.226371e-02 0.320228312 -0.219878165 -2.290309e-03 -0.5319986152
  < 28 2.150645e-03 0.140859027 -0.062658335 -3.493036e-05 -0.1181186728
  < 29 7.584846e-02 0.251661132 -0.232891623 -1.254053e-01 -0.3198630702
  < 30 4.348922e-02 0.310911906 -0.232923218 -3.660514e-03 -0.5698599936
  < 31 5.683253e-02 0.289700248 -0.237999426 -5.598176e-03 -0.5832407352
  < 32 1.012428e-01 0.198145253 -0.212421575 -1.458127e-01 -0.2289255670
  < 33 2.668470e-02 0.319482975 -0.208986331 -1.703699e-03 -0.5001797033
  < 34 1.367862e-01 0.130015313 -0.169995308 -2.349690e-02 -0.3776785430
  < 35 3.693502e-02 0.317731381 -0.226537913 -2.830508e-03 -0.5514409570
  < 36 9.429412e-02 0.212631870 -0.219142516 -1.271385e-02 -0.5212016360
  < 37 1.993427e-01 0.044981010 -0.085739977 -4.358084e-02 -0.1630679204
  < 38 1.078754e-01 0.184589524 -0.205403429 -1.500932e-01 -0.2083523858
  < 39 2.949709e-02 0.320456216 -0.214925382 -6.711386e-02 -0.5250662847
  < 40 2.061025e-01 0.038738104 -0.077312388 -1.747728e-01 -0.0303155721
  < 41 1.855481e-01 0.059513780 -0.103711246 -1.744357e-01 -0.0507854948
  < 42 1.233536e-01 0.154347949 -0.187230054 -1.585988e-01 -0.1651662558
  < 43 8.267808e-02 0.237218039 -0.228602739 -1.315588e-01 -0.2934677278
  < 44 1.414884e-02 0.290539271 -0.166418824 -6.394138e-04 -0.3787858556
  < 45 2.322902e-01 0.019829926 -0.048014662 -5.493022e-02 -0.0810027715
  < 46 1.522173e-02 0.295389226 -0.171482436 -4.062316e-02 -0.5615842081
  < 47 3.167176e-01 0.000570017 -0.003122813 -1.704098e-01 -0.0002473562
  < 48 2.519108e-01 0.010711684 -0.030567242 -1.716443e-01 -0.0067110643
  < 49 3.579058e-02 0.318555780 -0.225086115 -2.694136e-03 -0.5472118011
  < 50 4.277996e-03 0.192992530 -0.092775365 -1.445163e-02 -0.4627278146
  ---
  > 1 1.766878e-01 0.3432683006 -0.349264084 -2.905192e-01 -0.431320149
  > 2 1.153484e-01 0.3596761868 -0.361870523 -2.291899e-01 -0.534231845
  > 3 1.124992e-01 0.3590246655 -0.361244529 -2.793627e-02 -0.487346175
  > 4 3.609633e-01 0.0694645017 -0.073360073 -2.641422e-01 -0.212280074
  > 5 7.929731e-02 0.3381003318 -0.343223755 -1.566558e-02 -0.393227059
  > 6 3.656145e-01 0.0477528062 -0.049586181 -2.816339e-01 -0.155486156
  > 7 8.025561e-04 0.0243038218 -0.053506160 -1.527073e-05 -0.007237107
  > 8 2.521476e-01 0.2683878275 -0.280778222 -3.333443e-01 -0.279546562
  > 9 1.474786e-01 0.3575139395 -0.360949264 -2.644338e-01 -0.484431688
  > 10 1.681334e-01 0.3484655128 -0.353640857 -2.833560e-01 -0.447376972
  > 11 2.058976e-01 0.3200081428 -0.328883694 -7.986489e-02 -0.589315642
  > 12 4.168856e-02 0.2699812896 -0.287657466 -5.571664e-03 -0.243054031
  > 13 6.282471e-02 0.3159154131 -0.324960430 -1.073426e-02 -0.333603918
  > 14 8.252791e-03 0.1126141858 -0.152735168 -4.572389e-04 -0.059829478
  > 15 6.746420e-03 0.0994122211 -0.139996990 -2.632565e-02 -0.288927939
  > 16 1.882725e-01 0.3350175752 -0.342159788 -6.792645e-02 -0.587079795
  > 17 2.216808e-01 0.3042766603 -0.314583141 -9.149649e-02 -0.584884106
  > 18 1.321608e-01 0.3605724669 -0.363116108 -2.485573e-01 -0.509670665
  > 19 3.158634e-01 0.1708741212 -0.182528222 -1.857743e-01 -0.425124122
  > 20 3.485063e-01 0.0089781736 -0.008180068 -2.345984e-01 -0.003748684
  > 21 4.291995e-02 0.2733599693 -0.290399333 -1.159976e-01 -0.546465697
  > 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
  > 26 3.305961e-01 0.1430659182 -0.153133861 -3.367554e-01 -0.115360878
  > 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
  > 30 9.429876e-02 0.3508881318 -0.354022707 -2.082622e-02 -0.439897027
  > 31 1.223036e-01 0.3606360268 -0.362878409 -3.215382e-02 -0.508926710
  > 32 2.072019e-01 0.3187872119 -0.327786882 -3.119477e-01 -0.371500823
  > 33 5.764014e-02 0.3067479621 -0.317490037 -9.343950e-03 -0.312912586
  > 34 2.648576e-01 0.2513939487 -0.264277278 -1.285951e-01 -0.541550064
  > 35 8.016769e-02 0.3390172205 -0.343988258 -1.594768e-02 -0.396128892
  > 36 1.948154e-01 0.3297783990 -0.337571598 -7.222469e-02 -0.588794382
  > 37 3.392636e-01 0.1252130591 -0.134006462 -2.200645e-01 -0.338577089
  > 38 2.186971e-01 0.3074074008 -0.317457008 -3.185751e-01 -0.348283944
  > 39 6.386541e-02 0.3176168542 -0.326350396 -1.548071e-01 -0.569646523
  > 40 3.447918e-01 0.1129864533 -0.120815575 -3.296734e-01 -0.084487730
  > 41 3.262940e-01 0.1514742551 -0.162075820 -3.381530e-01 -0.124524063
  > 42 2.442291e-01 0.2783830069 -0.290342133 -3.304651e-01 -0.295930967
  > 43 1.733393e-01 0.3453955758 -0.351067885 -2.876942e-01 -0.437623959
  > 44 2.964178e-02 0.2306743304 -0.255570394 -3.255863e-03 -0.183536972
  > 45 3.605765e-01 0.0708014583 -0.074824779 -2.630649e-01 -0.215616043
  > 46 3.204143e-02 0.2395251689 -0.262837614 -9.298174e-02 -0.514706219
  > 47 3.372268e-01 0.0053924513 -0.004646657 -2.167553e-01 -0.002057801
  > 48 3.658413e-01 0.0457324170 -0.047379524 -2.956531e-01 -0.026781378
  > 49 7.767693e-02 0.3363308212 -0.341751326 -1.514612e-02 -0.387759683
  > 50 8.014647e-03 0.1106081689 -0.150825136 -3.042539e-02 -0.312672067
  2268,2317c2381,2430
  < 1 0.438209206
  < 2 0.531816293
  < 3 0.509005966
  < 4 0.156313007
  < 5 0.460696582
  < 6 0.112129863
  < 7 0.032232221
  < 8 0.284120701
  < 9 0.488416670
  < 10 0.453711527
  < 11 0.513569144
  < 12 0.353209458
  < 13 0.422537012
  < 14 0.144539515
  < 15 0.291351217
  < 16 0.524406610
  < 17 0.499765187
  < 18 0.511024460
  < 19 0.331829749
  < 20 0.002318249
  < 21 0.523960954
  < 22 0.008812482
  < 23 0.117116285
  < 24 0.452619350
  < 25 0.460887669
  < 26 0.111261004
  < 27 0.440473252
  < 28 0.087610658
  < 29 0.467394332
  < 30 0.486618332
  < 31 0.517545455
  < 32 0.378907577
  < 33 0.407964996
  < 34 0.442249007
  < 35 0.462411008
  < 36 0.520955318
  < 37 0.258264184
  < 38 0.355317056
  < 39 0.551777607
  < 40 0.079324869
  < 41 0.120828471
  < 42 0.301222678
  < 43 0.444343894
  < 44 0.298512541
  < 45 0.158941203
  < 46 0.492360418
  < 47 0.001143376
  < 48 0.022193607
  < 49 0.457430312
  < 50 0.312100195
  ---
  > 1 0.3901083245
  > 2 0.4976933698
  > 3 0.4538180474
  > 4 0.2097690590
  > 5 0.3905351556
  > 6 0.1540883658
  > 7 0.0283912383
  > 8 0.2361440541
  > 9 0.4453484740
  > 10 0.4068752259
  > 11 0.5244770677
  > 12 0.2823961637
  > 13 0.3491159968
  > 14 0.1126532519
  > 15 0.3345042190
  > 16 0.5221262890
  > 17 0.5221842932
  > 18 0.4717298386
  > 19 0.4018382483
  > 20 0.0012165800
  > 21 0.5283221758
  > 22 0.0220435519
  > 23 0.0875151197
  > 24 0.4749678438
  > 25 0.4816140290
  > 26 0.0826818553
  > 27 0.3680158264
  > 28 0.0701926441
  > 29 0.4218168732
  > 30 0.4221148377
  > 31 0.4682078465
  > 32 0.3286910106
  > 33 0.3343496420
  > 34 0.4927044671
  > 35 0.3925162504
  > 36 0.5235976288
  > 37 0.3272971776
  > 38 0.3050670491
  > 39 0.5415919200
  > 40 0.0569044620
  > 41 0.0905951790
  > 42 0.2524085679
  > 43 0.3967870889
  > 44 0.2345316689
  > 45 0.2129895987
  > 46 0.5060433880
  > 47 0.0005616506
  > 48 0.0141168576
  > 49 0.3867950466
  > 50 0.3535086386
  2326c2439
  < 1 0.07183765 0.2600454 -0.2348835 -0.0427382 -0.4659631 0.5262253
  ---
  > 1 0.1524699 0.3558136 -0.3596246 -0.1438174 -0.570811 0.5246618
  2331c2444
  < 1 0.3190261 0.02869872 -0.02037448 -0.2441283 0.002260651 0.1548447
  ---
  > 1 0.7075564 -0.04370243 -0.2055559 -0.7499063 0.0007832827 0.2023201
  2336c2449
  < 1 0.02869872 0.04213257 0.01072263 -0.02487532 -0.00173234 0.008952372
  ---
  > 1 -0.04370243 0.05320172 0.03726478 0.04091681 -0.0241312 -0.03729361
  2341c2454
  < 1 -0.02037448 0.01072263 0.05590232 0.0138782 0.007466454 -0.01316817
  ---
  > 1 -0.2055559 0.03726478 0.1611677 0.2190094 -0.02792443 -0.1079185
  2346c2459
  < 1 -0.2441283 -0.02487532 0.0138782 0.1952203 -0.00383347 -0.133861
  ---
  > 1 -0.7499063 0.04091681 0.2190094 0.8052599 2.871672e-05 -0.2123891
  2351c2464
  < 1 0.002260651 -0.00173234 0.007466454 -0.00383347 0.07721936 0.004240231
  ---
  > 1 0.0007832827 -0.0241312 -0.02792443 2.871672e-05 0.06178181 -0.004283597
  2356c2469
  < 1 0.1548447 0.008952372 -0.01316817 -0.133861 0.004240231 0.192653
  ---
  > 1 0.2023201 -0.03729361 -0.1079185 -0.2123891 -0.004283597 0.1320079
  2360,2365c2473,2478
  < d_y1_d_x1 0.319026112 0.028698724 -0.020374483 -0.24412829 0.002260651
  < d_y2_d_x1 0.028698724 0.042132570 0.010722628 -0.02487532 -0.001732340
  < d_y3_d_x1 -0.020374483 0.010722628 0.055902316 0.01387820 0.007466454
  < d_y1_d_x2 -0.244128291 -0.024875320 0.013878197 0.19522030 -0.003833470
  < d_y2_d_x2 0.002260651 -0.001732340 0.007466454 -0.00383347 0.077219355
  < d_y3_d_x2 0.154844659 0.008952372 -0.013168167 -0.13386101 0.004240231
  ---
  > 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
  2367,2372c2480,2485
  < d_y1_d_x1 0.154844659
  < d_y2_d_x1 0.008952372
  < d_y3_d_x1 -0.013168167
  < d_y1_d_x2 -0.133861015
  < d_y2_d_x2 0.004240231
  < d_y3_d_x2 0.192652991
  ---
  > 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
  2375,2380c2488,2493
  < d_y1_d_x1 0.07184 0.56482 0.127 0.8988
  < d_y2_d_x1 0.26005 0.20526 1.267 0.2052
  < d_y3_d_x1 -0.23488 0.23644 -0.993 0.3205
  < d_y1_d_x2 -0.04274 0.44184 -0.097 0.9229
  < d_y2_d_x2 -0.46596 0.27788 -1.677 0.0936 .
  < d_y3_d_x2 0.52623 0.43892 1.199 0.2306
  ---
  > d_y1_d_x1 0.1525 0.8412 0.181 0.8562
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3596 0.4015 -0.896 0.3704
  > 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' ...158c158
  < 2 0.36422466 0.85124795 0.31421869
  ---
  > 2 0.36422466 0.74444655 0.11898201
  160,161c160,161
  < 4 0.19744044 0.67487372 0.20559572
  < 5 0.62321758 0.54232735 0.61762471
  ---
  > 4 0.19744044 0.81305670 0.46088740
  > 5 0.46887344 0.54232735 0.70688505
  164c164
  < 8 0.69538906 0.32138019 0.78280394
  ---
  > 8 0.88954588 0.24377749 0.78280394
  201,203c201,203
  < [1] "Component 1: Mean relative difference: 8.379214e-05"
  < [2] "Component 2: Mean relative difference: 6.334469e-05"
  < [3] "Component 3: Mean relative difference: 8.275035e-05"
  ---
  > [1] "Component 1: Mean relative difference: 9.258897e-05"
  > [2] "Component 2: Mean relative difference: 5.029085e-05"
  > [3] "Component 3: Mean relative difference: 0.0001009532"
  209,211c209,211
  < [1] "Component 1: Mean relative difference: 6.030919e-06"
  < [2] "Component 2: Mean relative difference: 4.761234e-06"
  < [3] "Component 3: Mean relative difference: 5.435534e-06"
  ---
  > [1] "Component 1: Mean relative difference: 4.471818e-06"
  > [2] "Component 2: Mean relative difference: 3.954285e-06"
  > [3] "Component 3: Mean relative difference: 4.758699e-06"
  217,219c217,219
  < [1] "Component 1: Mean relative difference: 8.378169e-05"
  < [2] "Component 2: Mean relative difference: 6.334194e-05"
  < [3] "Component 3: Mean relative difference: 8.275603e-05"
  ---
  > [1] "Component 1: Mean relative difference: 9.258463e-05"
  > [2] "Component 2: Mean relative difference: 5.028616e-05"
  > [3] "Component 3: Mean relative difference: 0.0001009503"
  225,227c225,227
  < [1] "Component 1: Mean relative difference: 0.07322259"
  < [2] "Component 2: Mean relative difference: 0.04777342"
  < [3] "Component 3: Mean relative difference: 0.02371844"
  ---
  > [1] "Component 1: Mean relative difference: 0.05130138"
  > [2] "Component 2: Mean relative difference: 0.04744355"
  > [3] "Component 3: Mean relative difference: 0.02586555"
  233,235c233,235
  < [1] "Component 1: Mean relative difference: 0.003270405"
  < [2] "Component 2: Mean relative difference: 0.002604943"
  < [3] "Component 3: Mean relative difference: 0.003648763"
  ---
  > [1] "Component 1: Mean relative difference: 0.002650961"
  > [2] "Component 2: Mean relative difference: 0.002438056"
  > [3] "Component 3: Mean relative difference: 0.00287644"
  241,243c241,243
  < [1] "Component 1: Mean relative difference: 0.02606565"
  < [2] "Component 2: Mean relative difference: 0.01547738"
  < [3] "Component 3: Mean relative difference: 0.02685395"
  ---
  > [1] "Component 1: Mean relative difference: 0.01486969"
  > [2] "Component 2: Mean relative difference: 0.0173985"
  > [3] "Component 3: Mean relative difference: 0.01629308"
  258,267c258,267
  < [1,] 0.0192 0.7362 0.1858
  < [2,] 0.4008 0.7716 0.2157
  < [3,] 0.1251 0.7867 0.1925
  < [4,] 0.2324 0.6851 0.2859
  < [5,] 0.6771 0.4283 0.5806
  < [6,] 0.0295 0.9757 0.0345
  < [7,] 0.9613 0.1816 0.7811
  < [8,] 0.8567 0.2530 0.7277
  < [9,] 0.0560 0.9682 0.0341
  < [10,] 0.9975 0.0670 0.9207
  ---
  > [1,] 0.0192 0.7292 0.1974
  > [2,] 0.4004 0.7599 0.2151
  > [3,] 0.1185 0.7867 0.1978
  > [4,] 0.2374 0.6843 0.2992
  > [5,] 0.6817 0.4368 0.5779
  > [6,] 0.0275 0.9709 0.0356
  > [7,] 0.9580 0.1843 0.7872
  > [8,] 0.8551 0.2551 0.7156
  > [9,] 0.0624 0.9697 0.0332
  > [10,] 0.9984 0.0636 0.9231
  270,279c270,279
  < [1,] -0.0016689243 1.077121e-02 -0.0083102441
  < [2,] 0.0068765951 3.170594e-03 0.0020610027
  < [3,] 0.0005435525 -1.156035e-03 -0.0039267157
  < [4,] -0.0024539159 4.400442e-03 -0.0059390276
  < [5,] -0.0028933343 -6.375618e-03 0.0019840121
  < [6,] 0.0015800371 2.989823e-03 0.0007997717
  < [7,] 0.0031358902 -4.700281e-03 -0.0030444398
  < [8,] 0.0003073384 6.324570e-03 0.0038168288
  < [9,] -0.0047363575 -2.362818e-05 -0.0003476431
  < [10,] -0.0003799086 -3.497231e-04 -0.0018784545
  ---
  > [1,] -0.0016689243 0.003771207 0.0032897559
  > [2,] 0.0064765951 -0.008529406 0.0014610027
  > [3,] -0.0060564475 -0.001156035 0.0013732843
  > [4,] 0.0025460841 0.003600442 0.0073609724
  > [5,] 0.0017066657 0.002124382 -0.0007159879
  > [6,] -0.0004199629 -0.001810177 0.0018997717
  > [7,] -0.0001641098 -0.002000281 0.0030555602
  > [8,] -0.0012926616 0.008424570 -0.0082831712
  > [9,] 0.0016636425 0.001476372 -0.0012476431
  > [10,] 0.0005200914 -0.003749723 0.0005215455
  290,291c290,291
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  310c310
  < [1] "Mean relative difference: 7.702707e-05"
  ---
  > [1] "Mean relative difference: 8.840686e-05"
  316c316
  < [1] "Mean relative difference: 5.070498e-06"
  ---
  > [1] "Mean relative difference: 4.53253e-06"
  322c322
  < [1] "Mean relative difference: 7.70181e-05"
  ---
  > [1] "Mean relative difference: 8.840067e-05"
  328c328
  < [1] "Mean relative difference: 0.05497947"
  ---
  > [1] "Mean relative difference: 0.05527167"
  333c333
  < [1] "Mean relative difference: 0.002444357"
  ---
  > [1] "Mean relative difference: 0.002220837"
  339c339
  < [1] "Mean relative difference: 0.01970199"
  ---
  > [1] "Mean relative difference: 0.01480876"
  346,347c346,347
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  351,354c351,354
  < [2,] 1.082645071 0.00000000 1.08264507 -0.235989467 -0.319457687
  < [3,] -0.208837065 -0.20883706 -0.20883706 0.214267757 -0.186935416
  < [4,] -0.367399256 -0.36739926 -0.36739926 0.267794095 -0.322625590
  < [5,] 0.656200624 0.65620062 0.00000000 -0.410151158 0.539122018
  ---
  > [2,] -0.620181812 0.00000000 -0.62018181 0.135184078 0.182997967
  > [3,] -0.208837065 -0.20883706 -0.20883706 0.214267758 -0.186935416
  > [4,] 1.493926467 1.49392647 1.49392647 -1.088909899 1.311866859
  > [5,] 0.917269941 0.91726994 0.00000000 -0.573329732 0.753611630
  356,357c356,357
  < [7,] 0.071223816 0.07122382 0.07122382 0.059670390 0.039452129
  < [8,] 0.543556919 0.00000000 0.00000000 0.083367019 -0.033652539
  ---
  > [7,] 0.071223816 0.07122382 0.07122382 0.059670391 0.039452129
  > [8,] 0.224807263 0.00000000 0.00000000 0.034479391 -0.013918202
  362c362
  < [2,] 0.27901320 0.0000000 0.27901320 -0.06081788 -0.08232884 -0.54999962
  ---
  > [2,] 0.43840786 0.0000000 0.43840786 -0.09556192 -0.12936166 -0.24068300
  364,365c364,365
  < [4,] 0.54004579 0.5400458 0.54004579 -0.39363464 0.47423229 -0.37779301
  < [5,] 0.74825688 0.7482569 0.00000000 -0.46768993 0.61475370 -1.04802116
  ---
  > [4,] 0.33970605 0.3397061 0.33970605 -0.24760876 0.29830726 -0.79100711
  > [5,] -0.88642408 -0.8864241 0.00000000 0.55404986 -0.72826926 -1.24501533
  368c368
  < [8,] -0.53763498 0.0000000 0.00000000 -0.08245875 0.03328590 -1.41145183
  ---
  > [8,] -0.41846140 0.0000000 0.00000000 -0.06418073 0.02590766 0.39132057
  371,392c371,392
  < b_3_1 b_3_2 b_3_3 b_3_4 R_1_2
  < [1,] 0.00000000 -0.31393241 0.33522447 -0.13388094 -0.0089522201
  < [2,] 0.00000000 -0.54999962 0.11988612 0.16228920 0.3683881757
  < [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604013
  < [4,] -0.37779301 -0.37779301 0.27537001 -0.33175270 -0.1457180322
  < [5,] -1.04802116 0.00000000 0.65505438 -0.86103436 0.5869342492
  < [6,] -0.07038947 -0.07038947 0.11872545 -0.04847302 -0.0020805972
  < [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688749
  < [8,] 0.00000000 0.00000000 -0.21647877 0.08738540 -0.2214369512
  < [9,] 0.00000000 -0.06658594 0.07578392 0.02037281 -0.0038911043
  < [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026085
  < R_1_3 R_2_3
  < [1,] 0.031648334 -0.161540001
  < [2,] -0.423446759 -0.189573865
  < [3,] 0.118484255 -0.129196504
  < [4,] 0.232939526 -0.239399521
  < [5,] -0.496899606 -0.857752828
  < [6,] 0.015112572 -0.006549753
  < [7,] 0.055215326 -0.129101410
  < [8,] -0.576005736 0.694568052
  < [9,] 0.024566263 -0.007700663
  < [10,] 0.003157443 -0.026654477
  ---
  > b_3_1 b_3_2 b_3_3 b_3_4 R_1_2 R_1_3
  > [1,] 0.00000000 -0.31393241 0.33522447 -0.13388094 -0.0089522200 0.031648334
  > [2,] 0.00000000 -0.24068300 0.05246286 0.07101869 -0.2109161681 0.242606606
  > [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604016 0.118484255
  > [4,] -0.79100711 -0.79100711 0.57655815 -0.69460983 0.5931737070 -0.947273870
  > [5,] -1.24501533 0.00000000 0.77818347 -1.02288104 -0.6958962371 -0.901556093
  > [6,] -0.07038947 -0.07038947 0.11872545 -0.04847302 -0.0020805973 0.015112572
  > [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688745 0.055215327
  > [8,] 0.00000000 0.00000000 0.06001806 -0.02422733 -0.0620710172 0.159552938
  > [9,] 0.00000000 -0.06658594 0.07578392 0.02037281 -0.0038911046 0.024566263
  > [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026088 0.003157443
  > R_2_3
  > [1,] -0.161540001
  > [2,] -0.132532626
  > [3,] -0.129196504
  > [4,] -0.319508443
  > [5,] 1.016442887
  > [6,] -0.006549753
  > [7,] -0.129101410
  > [8,] -0.192174063
  > [9,] -0.007700663
  > [10,] -0.026654477
  404,405c404,405
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  409,412c409,412
  < [2,] 1.082645463 0.00000000 1.08264546 -0.235989552 -0.319457802
  < [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935271
  < [4,] -0.367399023 -0.36739902 -0.36739902 0.267793926 -0.322625386
  < [5,] 0.656200952 0.65620095 0.00000000 -0.410151363 0.539122288
  ---
  > [2,] -0.620181508 0.00000000 -0.62018151 0.135184011 0.182997877
  > [3,] -0.208836904 -0.20883690 -0.20883690 0.214267592 -0.186935272
  > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
  > [5,] 0.917270326 0.91727033 0.00000000 -0.573329973 0.753611947
  414,415c414,415
  < [7,] 0.071223890 0.07122389 0.07122389 0.059670453 0.039452170
  < [8,] 0.543557219 0.00000000 0.00000000 0.083367065 -0.033652557
  ---
  > [7,] 0.071223890 0.07122389 0.07122389 0.059670452 0.039452170
  > [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918213
  420c420
  < [2,] 0.27901339 0.00000000 0.27901339 -0.06081792 -0.08232889 -0.54999933
  ---
  > [2,] 0.43840810 0.00000000 0.43840810 -0.09556197 -0.12936173 -0.24068282
  422,423c422,423
  < [4,] 0.54004606 0.54004606 0.54004606 -0.39363484 0.47423253 -0.37779278
  < [5,] 0.74825720 0.74825720 0.00000000 -0.46769013 0.61475396 -1.04802077
  ---
  > [4,] 0.33970627 0.33970627 0.33970627 -0.24760892 0.29830745 -0.79100675
  > [5,] -0.88642374 -0.88642374 0.00000000 0.55404964 -0.72826897 -1.24501491
  426c426
  < [8,] -0.53763471 0.00000000 0.00000000 -0.08245871 0.03328588 -1.41145140
  ---
  > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
  431,437c431,437
  < [2,] 0.0000000 -0.54999933 0.11988606 0.16228912 0.3683883072 -0.423446598
  < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604438 0.118484204
  < [4,] -0.3777928 -0.37779278 0.27536984 -0.33175249 -0.1457180701 0.232939472
  < [5,] -1.0480208 0.00000000 0.65505413 -0.86103404 0.5869343478 -0.496899390
  < [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805999 0.015112555
  < [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688918 0.055215307
  < [8,] 0.0000000 0.00000000 -0.21647870 0.08738537 -0.2214369710 -0.576005355
  ---
  > [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
  439c439
  < [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026085 0.003157441
  ---
  > [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026087 0.003157441
  441,442c441,442
  < [1,] -0.161540031
  < [2,] -0.189573890
  ---
  > [1,] -0.161540032
  > [2,] -0.132532661
  444,445c444,445
  < [4,] -0.239399537
  < [5,] -0.857752533
  ---
  > [4,] -0.319508409
  > [5,] 1.016443490
  447,448c447,448
  < [7,] -0.129101447
  < [8,] 0.694568471
  ---
  > [7,] -0.129101448
  > [8,] -0.192174094
  466c466
  < [2,] 1.082645463 0.00000000 1.08264546 -0.235989552 -0.319457802
  ---
  > [2,] -0.620181508 0.00000000 -0.62018151 0.135184012 0.182997877
  468,469c468,469
  < [4,] -0.367399023 -0.36739902 -0.36739902 0.267793926 -0.322625386
  < [5,] 0.656200952 0.65620095 0.00000000 -0.410151363 0.539122288
  ---
  > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
  > [5,] 0.917270326 0.91727033 0.00000000 -0.573329973 0.753611947
  471,472c471,472
  < [7,] 0.071223890 0.07122389 0.07122389 0.059670452 0.039452170
  < [8,] 0.543557219 0.00000000 0.00000000 0.083367066 -0.033652557
  ---
  > [7,] 0.071223890 0.07122389 0.07122389 0.059670453 0.039452170
  > [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918213
  477c477
  < [2,] 0.27901339 0.00000000 0.27901339 -0.06081792 -0.08232890 -0.54999933
  ---
  > [2,] 0.43840810 0.00000000 0.43840810 -0.09556197 -0.12936173 -0.24068282
  479,481c479,481
  < [4,] 0.54004606 0.54004606 0.54004606 -0.39363484 0.47423253 -0.37779278
  < [5,] 0.74825720 0.74825720 0.00000000 -0.46769013 0.61475396 -1.04802077
  < [6,] 0.06467576 0.06467576 0.06467576 -0.10908818 0.04453833 -0.07038940
  ---
  > [4,] 0.33970627 0.33970627 0.33970627 -0.24760892 0.29830745 -0.79100675
  > [5,] -0.88642374 -0.88642374 0.00000000 0.55404964 -0.72826897 -1.24501491
  > [6,] 0.06467576 0.06467576 0.06467576 -0.10908818 0.04453834 -0.07038940
  483c483
  < [8,] -0.53763471 0.00000000 0.00000000 -0.08245871 0.03328588 -1.41145140
  ---
  > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
  488,494c488,494
  < [2,] 0.0000000 -0.54999933 0.11988606 0.16228912 0.3683883072 -0.423446598
  < [3,] -0.2882924 -0.28829243 0.29578932 -0.25805795 -0.0489604438 0.118484204
  < [4,] -0.3777928 -0.37779278 0.27536984 -0.33175249 -0.1457180701 0.232939472
  < [5,] -1.0480208 0.00000000 0.65505413 -0.86103404 0.5869343478 -0.496899390
  < [6,] -0.0703894 -0.07038940 0.11872533 -0.04847297 -0.0020805999 0.015112555
  < [7,] 0.3437729 0.34377288 0.28800846 0.19042187 -0.0121688918 0.055215307
  < [8,] 0.0000000 0.00000000 -0.21647870 0.08738537 -0.2214369710 -0.576005355
  ---
  > [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
  496c496
  < [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026085 0.003157441
  ---
  > [10,] 0.0000000 0.00000000 0.19146378 -0.05809982 -0.0003026087 0.003157441
  498,499c498,499
  < [1,] -0.161540031
  < [2,] -0.189573890
  ---
  > [1,] -0.161540032
  > [2,] -0.132532661
  501,502c501,502
  < [4,] -0.239399537
  < [5,] -0.857752533
  ---
  > [4,] -0.319508409
  > [5,] 1.016443490
  504,505c504,505
  < [7,] -0.129101447
  < [8,] 0.694568471
  ---
  > [7,] -0.129101448
  > [8,] -0.192174094
  510,519c510,519
  < [1,] 1.172539e-06 NaN 1.172539e-06 1.181710e-06 1.170315e-06
  < [2,] -3.624019e-07 NaN -3.624019e-07 -3.592780e-07 -3.620019e-07
  < [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719547e-07 7.711369e-07
  < [4,] 6.324722e-07 6.324722e-07 6.324722e-07 6.330496e-07 6.325685e-07
  < [5,] -5.001241e-07 -5.001241e-07 NaN -5.009610e-07 -5.001810e-07
  < [6,] 1.031653e-06 1.031653e-06 1.031653e-06 1.032718e-06 1.035716e-06
  < [7,] -1.042044e-06 -1.042044e-06 -1.042044e-06 -1.040062e-06 -1.040227e-06
  < [8,] -5.514787e-07 NaN NaN -5.576532e-07 -5.502885e-07
  < [9,] 8.724623e-07 NaN 8.724623e-07 8.730429e-07 8.713498e-07
  < [10,] -1.594374e-06 NaN NaN -1.571777e-06 -1.688243e-06
  ---
  > [1,] 1.169727e-06 NaN 1.169727e-06 1.181532e-06 1.167503e-06
  > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
  > [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719682e-07 7.722624e-07
  > [4,] -2.984521e-07 -2.984521e-07 -2.984521e-07 -2.982630e-07 -2.983360e-07
  > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
  > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
  > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
  > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
  > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
  > [10,] -1.623363e-06 NaN NaN -1.600836e-06 -1.740423e-06
  521,530c521,530
  < [1,] -5.386585e-07 NaN -5.386585e-07 -5.389699e-07 -5.417569e-07
  < [2,] -6.716726e-07 NaN -6.716726e-07 -6.679790e-07 -6.759678e-07
  < [3,] -5.878059e-07 -5.878059e-07 -5.878059e-07 -5.885737e-07 -5.886354e-07
  < [4,] -4.999689e-07 -4.999689e-07 -4.999689e-07 -4.999257e-07 -5.002704e-07
  < [5,] -4.279121e-07 -4.279121e-07 NaN -4.283653e-07 -4.275969e-07
  < [6,] -9.982019e-07 -9.982019e-07 -9.982019e-07 -9.991444e-07 -9.971267e-07
  < [7,] 6.218852e-07 6.218852e-07 6.218852e-07 6.219296e-07 6.215289e-07
  < [8,] 5.063414e-07 NaN NaN 5.024758e-07 4.940358e-07
  < [9,] -9.667911e-07 NaN -9.667911e-07 -9.659973e-07 -9.578363e-07
  < [10,] 8.278502e-07 NaN NaN 8.258985e-07 8.268165e-07
  ---
  > [1,] -5.396519e-07 NaN -5.396519e-07 -5.394351e-07 -5.394276e-07
  > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
  > [3,] -5.893031e-07 -5.893031e-07 -5.893031e-07 -5.888807e-07 -5.895688e-07
  > [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.269256e-07
  > [5,] 3.897700e-07 3.897700e-07 NaN 3.899053e-07 3.900746e-07
  > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
  > [7,] 6.222324e-07 6.222324e-07 6.222324e-07 6.209271e-07 6.213553e-07
  > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
  > [9,] -9.653143e-07 NaN -9.653143e-07 -9.645375e-07 -9.626632e-07
  > [10,] 8.286660e-07 NaN NaN 8.285449e-07 8.251560e-07
  532,541c532,541
  < [1,] 6.344491e-07 NaN 6.344491e-07 6.347396e-07 6.330639e-07
  < [2,] 5.353300e-07 NaN 5.353300e-07 5.350214e-07 5.361047e-07
  < [3,] 6.758559e-07 6.758559e-07 6.758559e-07 6.760121e-07 6.770351e-07
  < [4,] 6.183044e-07 6.183044e-07 6.183044e-07 6.176701e-07 6.187119e-07
  < [5,] 3.716207e-07 3.716207e-07 NaN 3.702596e-07 3.709645e-07
  < [6,] 9.966304e-07 9.966304e-07 9.966304e-07 9.962999e-07 1.000857e-06
  < [7,] -6.145786e-07 -6.145786e-07 -6.145786e-07 -6.145651e-07 -6.149950e-07
  < [8,] 3.034635e-07 NaN NaN 3.003969e-07 2.939824e-07
  < [9,] 1.027925e-06 NaN 1.027925e-06 1.026799e-06 1.028447e-06
  < [10,] -8.015593e-07 NaN NaN -8.031124e-07 -8.027310e-07
  ---
  > [1,] 6.348028e-07 NaN 6.348028e-07 6.354245e-07 6.342468e-07
  > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
  > [3,] 6.754708e-07 6.754708e-07 6.754708e-07 6.748861e-07 6.770351e-07
  > [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.496625e-07 4.498411e-07
  > [5,] 3.381458e-07 3.381458e-07 NaN 3.372164e-07 3.381200e-07
  > [6,] 1.001559e-06 1.001559e-06 1.001559e-06 9.975476e-07 1.001632e-06
  > [7,] -6.152245e-07 -6.152245e-07 -6.152245e-07 -6.154662e-07 -6.161925e-07
  > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
  > [9,] 1.026049e-06 NaN 1.026049e-06 1.025151e-06 1.029128e-06
  > [10,] -8.031951e-07 NaN NaN -8.032986e-07 -8.019783e-07
  543,552c543,552
  < [1,] -1.537802e-06 3.402760e-07 -1.869386e-07
  < [2,] -3.568257e-07 3.806959e-07 -1.323549e-07
  < [3,] -8.684877e-07 4.254080e-07 -2.999057e-07
  < [4,] -2.598072e-07 2.335410e-07 -6.909923e-08
  < [5,] -1.679708e-07 4.352419e-07 3.442943e-07
  < [6,] -1.280657e-06 1.112974e-06 -1.565810e-06
  < [7,] -1.386765e-06 3.468485e-07 -2.889471e-07
  < [8,] -8.924422e-08 6.611162e-07 -6.026103e-07
  < [9,] -2.453775e-06 9.343661e-07 -1.432711e-06
  < [10,] 0.000000e+00 7.208235e-07 -9.101042e-07
  ---
  > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
  > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
  > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
  > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
  > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
  > [6,] -1.107235e-06 1.105627e-06 -1.567929e-06
  > [7,] -1.432382e-06 3.538860e-07 -2.906671e-07
  > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
  > [9,] -2.389577e-06 9.292818e-07 -1.400272e-06
  > [10,] 3.668841e-07 6.856613e-07 -9.048976e-07
  554c554
  < [1] -2.453775e-06 1.181710e-06
  ---
  > [1] -2.389577e-06 1.181532e-06
  557,566c557,566
  < [1,] -4.629630e-08 0.000000e+00 -4.629630e-08 4.982294e-08 -1.970626e-08
  < [2,] -3.923528e-07 0.000000e+00 -3.923528e-07 8.478585e-08 1.156443e-07
  < [3,] -1.610934e-07 -1.610934e-07 -1.610934e-07 1.654049e-07 -1.441527e-07
  < [4,] -2.323697e-07 -2.323697e-07 -2.323697e-07 1.695268e-07 -2.040827e-07
  < [5,] -3.281819e-07 -3.281819e-07 0.000000e+00 2.054699e-07 -2.696587e-07
  < [6,] -6.285250e-08 -6.285250e-08 -6.285250e-08 1.061224e-07 -4.345321e-08
  < [7,] -7.421841e-08 -7.421841e-08 -7.421841e-08 -6.206098e-08 -4.103923e-08
  < [8,] -2.997602e-07 0.000000e+00 0.000000e+00 -4.648991e-08 1.851862e-08
  < [9,] -1.061790e-07 0.000000e+00 -1.061790e-07 1.209266e-07 3.244537e-08
  < [10,] -7.632783e-09 0.000000e+00 0.000000e+00 -9.434460e-09 3.075029e-09
  ---
  > [1,] -4.618528e-08 0.000000e+00 -4.618528e-08 4.981541e-08 -1.965892e-08
  > [2,] -3.042011e-07 0.000000e+00 -3.042011e-07 6.594388e-08 8.965504e-08
  > [3,] -1.610934e-07 -1.610934e-07 -1.610934e-07 1.654078e-07 -1.443631e-07
  > [4,] -4.458656e-07 -4.458656e-07 -4.458656e-07 3.247817e-07 -3.913773e-07
  > [5,] -3.854694e-07 -3.854694e-07 0.000000e+00 2.409993e-07 -3.164328e-07
  > [6,] -6.321332e-08 -6.321332e-08 -6.321332e-08 1.064345e-07 -4.340476e-08
  > [7,] -7.377432e-08 -7.377432e-08 -7.377432e-08 -6.209700e-08 -4.102726e-08
  > [8,] -1.705303e-07 0.000000e+00 0.000000e+00 -2.619649e-08 1.039898e-08
  > [9,] -1.062900e-07 0.000000e+00 -1.062900e-07 1.209281e-07 3.235444e-08
  > [10,] -7.771561e-09 0.000000e+00 0.000000e+00 -9.608886e-09 3.170071e-09
  568,577c568,577
  < [1,] -2.408074e-07 0.000000e+00 -2.408074e-07 2.572885e-07 -1.032864e-07
  < [2,] -1.874056e-07 0.000000e+00 -1.874056e-07 4.062509e-08 5.565168e-08
  < [3,] -2.179368e-07 -2.179368e-07 -2.179368e-07 2.238962e-07 -1.953561e-07
  < [4,] -2.700062e-07 -2.700062e-07 -2.700062e-07 1.967882e-07 -2.372445e-07
  < [5,] -3.201883e-07 -3.201883e-07 0.000000e+00 2.003422e-07 -2.628669e-07
  < [6,] -6.455947e-08 -6.455947e-08 -6.455947e-08 1.089948e-07 -4.441036e-08
  < [7,] -1.988409e-07 -1.988409e-07 -1.988409e-07 -1.665983e-07 -1.100784e-07
  < [8,] -2.722267e-07 0.000000e+00 0.000000e+00 -4.143351e-08 1.644442e-08
  < [9,] -7.267797e-08 0.000000e+00 -7.267797e-08 8.264957e-08 2.203078e-08
  < [10,] -1.126599e-07 0.000000e+00 0.000000e+00 -1.409216e-07 4.281030e-08
  ---
  > [1,] -2.412515e-07 0.000000e+00 -2.412515e-07 2.575105e-07 -1.028424e-07
  > [2,] -2.428058e-07 0.000000e+00 -2.428058e-07 5.277654e-08 7.163994e-08
  > [3,] -2.184919e-07 -2.184919e-07 -2.184919e-07 2.240130e-07 -1.956659e-07
  > [4,] -2.122746e-07 -2.122746e-07 -2.122746e-07 1.548738e-07 -1.870166e-07
  > [5,] -3.455014e-07 -3.455014e-07 0.000000e+00 2.160269e-07 -2.840792e-07
  > [6,] -6.454559e-08 -6.454559e-08 -6.454559e-08 1.089714e-07 -4.451183e-08
  > [7,] -1.989520e-07 -1.989520e-07 -1.989520e-07 -1.663297e-07 -1.100477e-07
  > [8,] -2.344791e-07 0.000000e+00 0.000000e+00 -3.598585e-08 1.435383e-08
  > [9,] -7.256695e-08 0.000000e+00 -7.256695e-08 8.252467e-08 2.214180e-08
  > [10,] -1.127709e-07 0.000000e+00 0.000000e+00 -1.413732e-07 4.272432e-08
  579,588c579,588
  < [1,] -1.991740e-07 0.000000e+00 -1.991740e-07 2.127801e-07 -8.475514e-08
  < [2,] -2.944311e-07 0.000000e+00 -2.944311e-07 6.414160e-08 8.700396e-08
  < [3,] -1.948441e-07 -1.948441e-07 -1.948441e-07 1.999572e-07 -1.747143e-07
  < [4,] -2.335909e-07 -2.335909e-07 -2.335909e-07 1.700877e-07 -2.052592e-07
  < [5,] -3.894662e-07 -3.894662e-07 0.000000e+00 2.425400e-07 -3.194131e-07
  < [6,] -7.015222e-08 -7.015222e-08 -7.015222e-08 1.182860e-07 -4.851452e-08
  < [7,] -2.112754e-07 -2.112754e-07 -2.112754e-07 -1.769999e-07 -1.171085e-07
  < [8,] -4.283240e-07 0.000000e+00 0.000000e+00 -6.502954e-08 2.568976e-08
  < [9,] -6.844525e-08 0.000000e+00 -6.844525e-08 7.781475e-08 2.095234e-08
  < [10,] -1.224021e-07 0.000000e+00 0.000000e+00 -1.537669e-07 4.663853e-08
  ---
  > [1,] -1.992850e-07 0.000000e+00 -1.992850e-07 2.130097e-07 -8.491351e-08
  > [2,] -1.801892e-07 0.000000e+00 -1.801892e-07 3.897695e-08 5.295519e-08
  > [3,] -1.947331e-07 -1.947331e-07 -1.947331e-07 1.996241e-07 -1.747143e-07
  > [4,] -3.566036e-07 -3.566036e-07 -3.566036e-07 2.592565e-07 -3.124639e-07
  > [5,] -4.209966e-07 -4.209966e-07 0.000000e+00 2.624161e-07 -3.458564e-07
  > [6,] -7.049916e-08 -7.049916e-08 -7.049916e-08 1.184342e-07 -4.855208e-08
  > [7,] -2.114975e-07 -2.114975e-07 -2.114975e-07 -1.772595e-07 -1.173365e-07
  > [8,] -2.342571e-07 0.000000e+00 0.000000e+00 -3.582545e-08 1.459302e-08
  > [9,] -6.832035e-08 0.000000e+00 -6.832035e-08 7.768985e-08 2.096622e-08
  > [10,] -1.226519e-07 0.000000e+00 0.000000e+00 -1.538026e-07 4.659479e-08
  590,599c590,599
  < [1,] 1.376677e-08 1.076916e-08 3.019807e-08
  < [2,] -1.314504e-07 -1.612044e-07 2.509104e-08
  < [3,] 4.252154e-08 5.040413e-08 3.874678e-08
  < [4,] 3.785861e-08 5.440093e-08 1.654232e-08
  < [5,] -9.858780e-08 -2.162714e-07 -2.953193e-07
  < [6,] 2.664535e-09 1.681988e-08 1.025569e-08
  < [7,] 1.687539e-08 1.915135e-08 3.730349e-08
  < [8,] 1.976197e-08 -3.808065e-07 -4.185541e-07
  < [9,] 9.547918e-09 2.295386e-08 1.103284e-08
  < [10,] 0.000000e+00 2.275957e-09 2.425837e-08
  ---
  > [1,] 1.387779e-08 1.121325e-08 3.030909e-08
  > [2,] 1.332268e-08 1.143530e-08 3.552714e-08
  > [3,] 4.229950e-08 5.040413e-08 3.863576e-08
  > [4,] -3.739231e-07 -7.802647e-07 -3.375078e-08
  > [5,] -3.281819e-07 -6.576961e-07 -6.030731e-07
  > [6,] 2.303713e-09 1.670886e-08 1.026956e-08
  > [7,] 1.743050e-08 1.953993e-08 3.752554e-08
  > [8,] 4.474199e-08 4.629630e-08 3.086420e-08
  > [9,] 9.298118e-09 2.282896e-08 1.078304e-08
  > [10,] -1.110223e-10 2.164935e-09 2.411960e-08
  601c601
  < [1] -4.283240e-07 2.572885e-07
  ---
  > [1] -7.802647e-07 3.247817e-07
  604,613c604,613
  < [1,] 1.172539e-06 NaN 1.172539e-06 1.181710e-06 1.170315e-06
  < [2,] -3.624019e-07 NaN -3.624019e-07 -3.592780e-07 -3.620019e-07
  < [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719547e-07 7.711369e-07
  < [4,] 6.324722e-07 6.324722e-07 6.324722e-07 6.330496e-07 6.325685e-07
  < [5,] -5.001241e-07 -5.001241e-07 NaN -5.009610e-07 -5.001810e-07
  < [6,] 1.031653e-06 1.031653e-06 1.031653e-06 1.032718e-06 1.035716e-06
  < [7,] -1.042044e-06 -1.042044e-06 -1.042044e-06 -1.040062e-06 -1.040227e-06
  < [8,] -5.514787e-07 NaN NaN -5.576532e-07 -5.502885e-07
  < [9,] 8.724623e-07 NaN 8.724623e-07 8.730429e-07 8.713498e-07
  < [10,] -1.594374e-06 NaN NaN -1.571777e-06 -1.688243e-06
  ---
  > [1,] 1.169727e-06 NaN 1.169727e-06 1.181532e-06 1.167503e-06
  > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
  > [3,] 7.713836e-07 7.713836e-07 7.713836e-07 7.719682e-07 7.722624e-07
  > [4,] -2.984521e-07 -2.984521e-07 -2.984521e-07 -2.982630e-07 -2.983360e-07
  > [5,] -4.202354e-07 -4.202354e-07 NaN -4.203501e-07 -4.198882e-07
  > [6,] 1.037576e-06 1.037576e-06 1.037576e-06 1.035756e-06 1.034561e-06
  > [7,] -1.035809e-06 -1.035809e-06 -1.035809e-06 -1.040666e-06 -1.039924e-06
  > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
  > [9,] 8.733745e-07 NaN 8.733745e-07 8.730534e-07 8.689078e-07
  > [10,] -1.623363e-06 NaN NaN -1.600836e-06 -1.740423e-06
  615,624c615,624
  < [1,] -5.386585e-07 NaN -5.386585e-07 -5.389699e-07 -5.417569e-07
  < [2,] -6.716726e-07 NaN -6.716726e-07 -6.679790e-07 -6.759678e-07
  < [3,] -5.878059e-07 -5.878059e-07 -5.878059e-07 -5.885737e-07 -5.886354e-07
  < [4,] -4.999689e-07 -4.999689e-07 -4.999689e-07 -4.999257e-07 -5.002704e-07
  < [5,] -4.279121e-07 -4.279121e-07 NaN -4.283653e-07 -4.275969e-07
  < [6,] -9.982019e-07 -9.982019e-07 -9.982019e-07 -9.991444e-07 -9.971267e-07
  < [7,] 6.218852e-07 6.218852e-07 6.218852e-07 6.219296e-07 6.215289e-07
  < [8,] 5.063414e-07 NaN NaN 5.024758e-07 4.940358e-07
  < [9,] -9.667911e-07 NaN -9.667911e-07 -9.659973e-07 -9.578363e-07
  < [10,] 8.278502e-07 NaN NaN 8.258985e-07 8.268165e-07
  ---
  > [1,] -5.396519e-07 NaN -5.396519e-07 -5.394351e-07 -5.394276e-07
  > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
  > [3,] -5.893031e-07 -5.893031e-07 -5.893031e-07 -5.888807e-07 -5.895688e-07
  > [4,] -6.248770e-07 -6.248770e-07 -6.248770e-07 -6.254775e-07 -6.269256e-07
  > [5,] 3.897700e-07 3.897700e-07 NaN 3.899053e-07 3.900746e-07
  > [6,] -9.979873e-07 -9.979873e-07 -9.979873e-07 -9.989299e-07 -9.994048e-07
  > [7,] 6.222324e-07 6.222324e-07 6.222324e-07 6.209271e-07 6.213553e-07
  > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
  > [9,] -9.653143e-07 NaN -9.653143e-07 -9.645375e-07 -9.626632e-07
  > [10,] 8.286660e-07 NaN NaN 8.285449e-07 8.251560e-07
  626,635c626,635
  < [1,] 6.344491e-07 NaN 6.344491e-07 6.347396e-07 6.330639e-07
  < [2,] 5.353300e-07 NaN 5.353300e-07 5.350214e-07 5.361047e-07
  < [3,] 6.758559e-07 6.758559e-07 6.758559e-07 6.760121e-07 6.770351e-07
  < [4,] 6.183044e-07 6.183044e-07 6.183044e-07 6.176701e-07 6.187119e-07
  < [5,] 3.716207e-07 3.716207e-07 NaN 3.702596e-07 3.709645e-07
  < [6,] 9.966304e-07 9.966304e-07 9.966304e-07 9.962999e-07 1.000857e-06
  < [7,] -6.145786e-07 -6.145786e-07 -6.145786e-07 -6.145651e-07 -6.149950e-07
  < [8,] 3.034635e-07 NaN NaN 3.003969e-07 2.939824e-07
  < [9,] 1.027925e-06 NaN 1.027925e-06 1.026799e-06 1.028447e-06
  < [10,] -8.015593e-07 NaN NaN -8.031124e-07 -8.027310e-07
  ---
  > [1,] 6.348028e-07 NaN 6.348028e-07 6.354245e-07 6.342468e-07
  > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
  > [3,] 6.754708e-07 6.754708e-07 6.754708e-07 6.748861e-07 6.770351e-07
  > [4,] 4.508225e-07 4.508225e-07 4.508225e-07 4.496625e-07 4.498411e-07
  > [5,] 3.381458e-07 3.381458e-07 NaN 3.372164e-07 3.381200e-07
  > [6,] 1.001559e-06 1.001559e-06 1.001559e-06 9.975476e-07 1.001632e-06
  > [7,] -6.152245e-07 -6.152245e-07 -6.152245e-07 -6.154662e-07 -6.161925e-07
  > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
  > [9,] 1.026049e-06 NaN 1.026049e-06 1.025151e-06 1.029128e-06
  > [10,] -8.031951e-07 NaN NaN -8.032986e-07 -8.019783e-07
  637,646c637,646
  < [1,] -1.537802e-06 3.402760e-07 -1.869386e-07
  < [2,] -3.568257e-07 3.806959e-07 -1.323549e-07
  < [3,] -8.684877e-07 4.254080e-07 -2.999057e-07
  < [4,] -2.598072e-07 2.335410e-07 -6.909923e-08
  < [5,] -1.679708e-07 4.352419e-07 3.442943e-07
  < [6,] -1.280657e-06 1.112974e-06 -1.565810e-06
  < [7,] -1.386765e-06 3.468485e-07 -2.889471e-07
  < [8,] -8.924422e-08 6.611162e-07 -6.026103e-07
  < [9,] -2.453775e-06 9.343661e-07 -1.432711e-06
  < [10,] 0.000000e+00 7.208235e-07 -9.101042e-07
  ---
  > [1,] -1.550204e-06 3.543080e-07 -1.876259e-07
  > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
  > [3,] -8.639525e-07 4.254080e-07 -2.990464e-07
  > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
  > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
  > [6,] -1.107235e-06 1.105627e-06 -1.567929e-06
  > [7,] -1.432382e-06 3.538860e-07 -2.906671e-07
  > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
  > [9,] -2.389577e-06 9.292818e-07 -1.400272e-06
  > [10,] 3.668841e-07 6.856613e-07 -9.048976e-07
  648c648
  < [1] -9.386900e-08 2.259713e-08
  ---
  > [1] -1.170599e-07 2.252657e-08
  651,660c651,660
  < [1,] 0 0 0 3.866577e-10 3.745312e-11 0 0 0
  < [2,] 0 0 0 -7.372258e-10 -1.277917e-10 0 0 0
  < [3,] 0 0 0 1.223789e-10 4.611900e-11 0 0 0
  < [4,] 0 0 0 1.546277e-10 -3.106332e-11 0 0 0
  < [5,] 0 0 0 3.432599e-10 -3.064138e-11 0 0 0
  < [6,] 0 0 0 1.094737e-10 -1.704445e-10 0 0 0
  < [7,] 0 0 0 1.182429e-10 7.165793e-11 0 0 0
  < [8,] 0 0 0 -5.147539e-10 -4.005155e-11 0 0 0
  < [9,] 0 0 0 8.041684e-11 -4.142313e-11 0 0 0
  < [10,] 0 0 0 1.356374e-10 1.709765e-10 0 0 0
  ---
  > [1,] 0 0 0 4.976800e-10 3.745312e-11 0 0 0
  > [2,] 0 0 0 -3.643294e-10 -1.060298e-10 0 0 0
  > [3,] 0 0 0 1.252659e-10 -1.642822e-10 0 0 0
  > [4,] 0 0 0 -2.058271e-10 1.522227e-10 0 0 0
  > [5,] 0 0 0 6.575140e-11 2.616248e-10 0 0 0
  > [6,] 0 0 0 -1.869624e-10 1.264781e-10 0 0 0
  > [7,] 0 0 0 -2.898278e-10 -1.623588e-10 0 0 0
  > [8,] 0 0 0 -4.173131e-11 -1.588380e-10 0 0 0
  > [9,] 0 0 0 -4.448322e-11 -1.663232e-10 0 0 0
  > [10,] 0 0 0 1.352138e-10 2.132173e-10 0 0 0
  662,671c662,671
  < [1,] 1.486793e-10 -5.907174e-10 0 0 0 9.739193e-11 1.854486e-10
  < [2,] -2.246392e-10 3.536178e-10 0 0 0 -3.700271e-11 1.257293e-10
  < [3,] 2.920912e-10 -2.752966e-10 0 0 0 4.620376e-11 -3.043096e-10
  < [4,] -1.701933e-11 -1.429795e-10 0 0 0 -1.746485e-10 -1.352132e-10
  < [5,] 2.119395e-10 1.937681e-10 0 0 0 -8.916422e-10 5.650016e-10
  < [6,] 1.028245e-10 4.788751e-11 0 0 0 -3.923527e-11 -2.048743e-10
  < [7,] -1.190298e-11 6.309231e-11 0 0 0 3.886502e-12 -7.929002e-11
  < [8,] 3.187448e-10 -4.096013e-10 0 0 0 6.638555e-10 -8.285167e-10
  < [9,] -6.792164e-11 -2.059669e-10 0 0 0 -8.531933e-11 1.064933e-11
  < [10,] 3.330139e-10 -5.351829e-11 0 0 0 -2.973679e-10 6.808094e-11
  ---
  > [1,] -1.034852e-10 4.275993e-11 0 0 0 2.084143e-10 7.442630e-11
  > [2,] -1.490270e-10 -5.118989e-12 0 0 0 -2.997732e-10 -2.135072e-10
  > [3,] -1.606591e-10 -8.818213e-11 0 0 0 -1.729538e-10 -4.036885e-10
  > [4,] 1.486723e-10 -6.110910e-10 0 0 0 -6.688090e-10 6.817048e-10
  > [5,] 7.493617e-11 -2.217951e-10 0 0 0 -7.232756e-10 2.640244e-11
  > [6,] 1.028245e-10 -6.313480e-11 0 0 0 -4.762960e-10 -3.519740e-12
  > [7,] 3.496612e-10 1.553381e-10 0 0 0 -6.963397e-11 -1.843262e-10
  > [8,] -2.306301e-11 -1.631720e-10 0 0 0 1.032831e-10 8.976823e-11
  > [9,] -6.646317e-11 -6.097595e-11 0 0 0 -6.806601e-11 6.274188e-11
  > [10,] 2.065775e-11 -1.817360e-10 0 0 0 -1.981207e-11 -7.069692e-11
  684c684
  < [1] -8.916422e-10 6.638555e-10
  ---
  > [1] -7.232756e-10 6.817048e-10
  720,726c720,726
  < 1 0.2564698 0 0 -0.08661131 0 0 0.09743039
  < 2 0.1008447 0 0 -0.05986199 0 0 -0.02843850
  < 3 0.1674119 0 0 -0.09902071 0 0 0.26025246
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0 0 -0.05780532 0 0
  < 2 0 0 0.03660826 0 0
  < 3 0 0 -0.13728324 0 0
  ---
  > 1 0.2564698 0 0 -0.08661131 0 0 0.09745006
  > 2 0.1008447 0 0 -0.05986199 0 0 -0.02843561
  > 3 0.1674119 0 0 -0.09902071 0 0 0.26025301
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0 0 -0.05781656 0 0
  > 2 0 0 0.03660661 0 0
  > 3 0 0 -0.13728355 0 0
  735,737c735,737
  < 1 -0.097801103 0 0 -0.26755261 0
  < 2 -0.109438030 0 0 -0.14562511 0
  < 3 0.002346862 0 0 -0.06316801 0
  ---
  > 1 -0.097864360 0 0 -0.26763695 0
  > 2 -0.109431756 0 0 -0.14561675 0
  > 3 0.002384426 0 0 -0.06311792 0
  746,748c746,748
  < 1 0 -0.079158382 0 0 -0.14677670
  < 2 0 -0.067116460 0 0 -0.07088185
  < 3 0 -0.006515311 0 0 -0.06808212
  ---
  > 1 0 -0.079174593 0 0 -0.14679438
  > 2 0 -0.067129404 0 0 -0.07089597
  > 3 0 -0.006504764 0 0 -0.06807061
  753,759c753,759
  < 1 -0.08661131 0 0 0.08031764 0 0 -0.04381692
  < 2 -0.05986199 0 0 0.15517620 0 0 0.06216022
  < 3 -0.09902071 0 0 0.17981312 0 0 -0.13346812
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0 0 0.02672620 0 0
  < 2 0 0 -0.04832780 0 0
  < 3 0 0 0.06428241 0 0
  ---
  > 1 -0.08661131 0 0 0.08031764 0 0 -0.04382571
  > 2 -0.05986199 0 0 0.15517620 0 0 0.06215841
  > 3 -0.09902071 0 0 0.17981312 0 0 -0.13348402
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0 0 0.02673122 0 0
  > 2 0 0 -0.04832676 0 0
  > 3 0 0 0.06429149 0 0
  768,770c768,770
  < 1 0.066791094 0 0 0.04863166 0
  < 2 0.060255068 0 0 0.08046264 0
  < 3 0.002278392 0 0 -0.06336149 0
  ---
  > 1 0.066772450 0 0 0.04860680 0
  > 2 0.060257699 0 0 0.08046615 0
  > 3 0.002315954 0 0 -0.06331141 0
  779,781c779,781
  < 1 0 0.03466714 0 0 -0.01413605
  < 2 0 0.05013561 0 0 0.05646223
  < 3 0 -0.01225009 0 0 -0.07878877
  ---
  > 1 0 0.03465320 0 0 -0.01415125
  > 2 0 0.05013794 0 0 0.05646477
  > 3 0 -0.01224124 0 0 -0.07877912
  786,792c786,792
  < 1 0.09743039 0 0 -0.04381692 0 0 0.05517381
  < 2 -0.02843850 0 0 0.06216022 0 0 0.16854587
  < 3 0.26025246 0 0 -0.13346812 0 0 0.43541851
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0 0 -0.03140734 0 0
  < 2 0 0 -0.03514956 0 0
  < 3 0 0 -0.20370618 0 0
  ---
  > 1 0.09745006 0 0 -0.04382571 0 0 0.05519428
  > 2 -0.02843561 0 0 0.06215841 0 0 0.16853922
  > 3 0.26025301 0 0 -0.13348402 0 0 0.43540458
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0 0 -0.03141844 0 0
  > 2 0 0 -0.03511586 0 0
  > 3 0 0 -0.20370677 0 0
  797,803c797,803
  < 1 0 -0.097801103 0 0 0.066791094 0 0
  < 2 0 -0.109438030 0 0 0.060255068 0 0
  < 3 0 0.002346862 0 0 0.002278392 0 0
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.1313755 0 0 0.1746719 0
  < 2 0.2110680 0 0 0.1571977 0
  < 3 0.2938075 0 0 0.4621366 0
  ---
  > 1 0 -0.097864360 0 0 0.066772450 0 0
  > 2 0 -0.109431756 0 0 0.060257699 0 0
  > 3 0 0.002384426 0 0 0.002315954 0 0
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.1313341 0 0 0.1747352 0
  > 2 0.2111337 0 0 0.1572311 0
  > 3 0.2939648 0 0 0.4622561 0
  808,814c808,814
  < 1 0 0 -0.079158382 0 0 0.03466714 0
  < 2 0 0 -0.067116460 0 0 0.05013561 0
  < 3 0 0 -0.006515311 0 0 -0.01225009 0
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0 0.1485937 0 0 0.1937855
  < 2 0 0.1903930 0 0 0.1110189
  < 3 0 0.2574540 0 0 0.3424057
  ---
  > 1 0 0 -0.079174593 0 0 0.03465320 0
  > 2 0 0 -0.067129404 0 0 0.05013794 0
  > 3 0 0 -0.006504764 0 0 -0.01224124 0
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0 0.1485878 0 0 0.1938073
  > 2 0 0.1904044 0 0 0.1110330
  > 3 0 0.2576453 0 0 0.3426052
  819,825c819,825
  < 1 -0.05780532 0 0 0.02672620 0 0 -0.03140734
  < 2 0.03660826 0 0 -0.04832780 0 0 -0.03514956
  < 3 -0.13728324 0 0 0.06428241 0 0 -0.20370618
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0 0 0.0212204 0 0
  < 2 0 0 0.1815106 0 0
  < 3 0 0 0.1465636 0 0
  ---
  > 1 -0.05781656 0 0 0.02673122 0 0 -0.03141844
  > 2 0.03660661 0 0 -0.04832676 0 0 -0.03511586
  > 3 -0.13728355 0 0 0.06429149 0 0 -0.20370677
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0 0 0.02122641 0 0
  > 2 0 0 0.18147422 0 0
  > 3 0 0 0.14656887 0 0
  830,836c830,836
  < 1 0 -0.26755261 0 0 0.04863166 0 0
  < 2 0 -0.14562511 0 0 0.08046264 0 0
  < 3 0 -0.06316801 0 0 -0.06336149 0 0
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.1746719 0 0 0.5410290 0
  < 2 0.1571977 0 0 0.3020335 0
  < 3 0.4621366 0 0 0.9435256 0
  ---
  > 1 0 -0.26763695 0 0 0.04860680 0 0
  > 2 0 -0.14561675 0 0 0.08046615 0 0
  > 3 0 -0.06311792 0 0 -0.06331141 0 0
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.1747352 0 0 0.5412714 0
  > 2 0.1572311 0 0 0.3020058 0
  > 3 0.4622561 0 0 0.9435647 0
  841,847c841,847
  < 1 0 0 -0.14677670 0 0 -0.01413605 0
  < 2 0 0 -0.07088185 0 0 0.05646223 0
  < 3 0 0 -0.06808212 0 0 -0.07878877 0
  < d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0 0.1937855 0 0 0.4115219
  < 2 0 0.1110189 0 0 0.2012421
  < 3 0 0.3424057 0 0 0.6086354
  ---
  > 1 0 0 -0.14679438 0 0 -0.01415125 0
  > 2 0 0 -0.07089597 0 0 0.05646477 0
  > 3 0 0 -0.06807061 0 0 -0.07877912 0
  > d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0 0.1938073 0 0 0.4115764
  > 2 0 0.1110330 0 0 0.2012592
  > 3 0 0.3426052 0 0 0.6088430
  858,859c858,859
  < d_y2_d_x3 0.0000000000 -0.10506166 0.00000000 0.000000000 -0.06458309
  < d_y3_d_x3 0.0000000000 0.00000000 -0.06059759 0.000000000 0.00000000
  ---
  > d_y2_d_x3 0.0000000000 -0.10504549 0.00000000 0.000000000 -0.06457314
  > d_y3_d_x3 0.0000000000 0.00000000 -0.06060813 0.000000000 0.00000000
  861,862c861,862
  < d_y2_d_x4 0.0000000000 -0.19958499 0.00000000 0.000000000 -0.12268809
  < d_y3_d_x4 0.0000000000 0.00000000 -0.10144935 0.000000000 0.00000000
  ---
  > d_y2_d_x4 0.0000000000 -0.19956343 0.00000000 0.000000000 -0.12267484
  > d_y3_d_x4 0.0000000000 0.00000000 -0.10146086 0.000000000 0.00000000
  865,866c865,866
  < d_y2_d_x1 0.00000000 0.0000000000 -0.10506166 0.00000000 0.0000000000
  < d_y3_d_x1 0.06144675 0.0000000000 0.00000000 -0.06059759 0.0000000000
  ---
  > d_y2_d_x1 0.00000000 0.0000000000 -0.10504549 0.00000000 0.0000000000
  > d_y3_d_x1 0.06144675 0.0000000000 0.00000000 -0.06060813 0.0000000000
  868,869c868,869
  < d_y2_d_x2 0.00000000 0.0000000000 -0.06458309 0.00000000 0.0000000000
  < d_y3_d_x2 0.16593068 0.0000000000 0.00000000 -0.07052900 0.0000000000
  ---
  > d_y2_d_x2 0.00000000 0.0000000000 -0.06457314 0.00000000 0.0000000000
  > d_y3_d_x2 0.16593068 0.0000000000 0.00000000 -0.07054128 0.0000000000
  871,872c871,872
  < d_y2_d_x3 0.00000000 0.0000000000 0.08926007 0.00000000 0.0000000000
  < d_y3_d_x3 -0.07052900 0.0000000000 0.00000000 0.07841036 0.0000000000
  ---
  > d_y2_d_x3 0.00000000 0.0000000000 0.08920869 0.00000000 0.0000000000
  > d_y3_d_x3 -0.07054128 0.0000000000 0.00000000 0.07844472 0.0000000000
  874,875c874,875
  < d_y2_d_x4 0.00000000 0.0000000000 0.15893909 0.00000000 0.0000000000
  < d_y3_d_x4 -0.11807602 0.0000000000 0.00000000 0.12013414 0.0000000000
  ---
  > d_y2_d_x4 0.00000000 0.0000000000 0.15887999 0.00000000 0.0000000000
  > d_y3_d_x4 -0.11808941 0.0000000000 0.00000000 0.12015391 0.0000000000
  878,879c878,879
  < d_y2_d_x1 -0.1995850 0.0000000
  < d_y3_d_x1 0.0000000 -0.1014494
  ---
  > d_y2_d_x1 -0.1995634 0.0000000
  > d_y3_d_x1 0.0000000 -0.1014609
  881,882c881,882
  < d_y2_d_x2 -0.1226881 0.0000000
  < d_y3_d_x2 0.0000000 -0.1180760
  ---
  > d_y2_d_x2 -0.1226748 0.0000000
  > d_y3_d_x2 0.0000000 -0.1180894
  884,885c884,885
  < d_y2_d_x3 0.1589391 0.0000000
  < d_y3_d_x3 0.0000000 0.1201341
  ---
  > d_y2_d_x3 0.1588800 0.0000000
  > d_y3_d_x3 0.0000000 0.1201539
  887,888c887,888
  < d_y2_d_x4 0.3123363 0.0000000
  < d_y3_d_x4 0.0000000 0.2148557
  ---
  > d_y2_d_x4 0.3122700 0.0000000
  > d_y3_d_x4 0.0000000 0.2148580
  891,1010c891,1010
  < 1: d_y1_d_x1 0.180673 0.506428 0.357 0.7213
  < 1: d_y2_d_x1 0.219666 0.420176 0.523 0.6011
  < 1: d_y3_d_x1 -0.122356 0.286500 -0.427 0.6693
  < 1: d_y1_d_x2 -0.129203 0.283404 -0.456 0.6485
  < 1: d_y2_d_x2 0.225810 0.348047 0.649 0.5165
  < 1: d_y3_d_x2 -0.241208 0.329144 -0.733 0.4637
  < 1: d_y1_d_x3 0.070273 0.234891 0.299 0.7648
  < 1: d_y2_d_x3 -0.400098 0.362458 -1.104 0.2697
  < 1: d_y3_d_x3 0.302437 0.385478 0.785 0.4327
  < 1: d_y1_d_x4 -0.040156 0.145672 -0.276 0.7828
  < 1: d_y2_d_x4 -0.533464 0.735547 -0.725 0.4683
  < 1: d_y3_d_x4 0.329931 0.641500 0.514 0.6070
  < 2: d_y1_d_x1 0.430122 0.317561 1.354 0.1756
  < 2: d_y2_d_x1 0.190084 0.327883 0.580 0.5621
  < 2: d_y3_d_x1 -0.131959 0.254364 -0.519 0.6039
  < 2: d_y1_d_x2 -0.373654 0.393924 -0.949 0.3429
  < 2: d_y2_d_x2 0.215256 0.319713 0.673 0.5008
  < 2: d_y3_d_x2 -0.248972 0.312271 -0.797 0.4253
  < 2: d_y1_d_x3 0.538657 0.410543 1.312 0.1895
  < 2: d_y2_d_x3 -0.365765 0.459421 -0.796 0.4259
  < 2: d_y3_d_x3 0.320224 0.436340 0.734 0.4630
  < 2: d_y1_d_x4 -0.307804 0.426041 -0.722 0.4700
  < 2: d_y2_d_x4 -0.487687 0.549576 -0.887 0.3749
  < 2: d_y3_d_x4 0.349336 0.448600 0.779 0.4361
  < 3: d_y1_d_x1 0.115233 0.409160 0.282 0.7782
  < 3: d_y2_d_x1 0.367505 0.351286 1.046 0.2955
  < 3: d_y3_d_x1 -0.203146 0.350334 -0.580 0.5620
  < 3: d_y1_d_x2 -0.314837 0.424044 -0.742 0.4578
  < 3: d_y2_d_x2 0.208986 0.351459 0.595 0.5521
  < 3: d_y3_d_x2 -0.242199 0.360140 -0.673 0.5013
  < 3: d_y1_d_x3 0.287480 0.659862 0.436 0.6631
  < 3: d_y2_d_x3 -0.347907 0.542040 -0.642 0.5210
  < 3: d_y3_d_x3 0.304625 0.507399 0.600 0.5483
  < 3: d_y1_d_x4 -0.164274 0.382836 -0.429 0.6679
  < 3: d_y2_d_x4 -0.463876 0.971352 -0.478 0.6330
  < 3: d_y3_d_x4 0.332318 0.780151 0.426 0.6701
  < 4: d_y1_d_x1 0.207611 0.540019 0.384 0.7006
  < 4: d_y2_d_x1 0.382763 0.357810 1.070 0.2847
  < 4: d_y3_d_x1 -0.228889 0.357614 -0.640 0.5221
  < 4: d_y1_d_x2 -0.374273 0.337358 -1.109 0.2672
  < 4: d_y2_d_x2 0.232552 0.363994 0.639 0.5229
  < 4: d_y3_d_x2 -0.268560 0.355628 -0.755 0.4501
  < 4: d_y1_d_x3 0.430074 0.609132 0.706 0.4802
  < 4: d_y2_d_x3 -0.428740 0.443667 -0.966 0.3339
  < 4: d_y3_d_x3 0.377649 0.445647 0.847 0.3968
  < 4: d_y1_d_x4 -0.245757 0.366506 -0.671 0.5025
  < 4: d_y2_d_x4 -0.571653 0.778475 -0.734 0.4628
  < 4: d_y3_d_x4 0.411980 0.688013 0.599 0.5493
  < 5: d_y1_d_x1 0.448007 0.365489 1.226 0.2203
  < 5: d_y2_d_x1 0.312561 0.479915 0.651 0.5149
  < 5: d_y3_d_x1 -0.209051 0.417286 -0.501 0.6164
  < 5: d_y1_d_x2 -0.382741 0.346813 -1.104 0.2698
  < 5: d_y2_d_x2 0.233731 0.366815 0.637 0.5240
  < 5: d_y3_d_x2 -0.270658 0.358474 -0.755 0.4502
  < 5: d_y1_d_x3 0.500660 0.633149 0.791 0.4291
  < 5: d_y2_d_x3 -0.472298 0.460163 -1.026 0.3047
  < 5: d_y3_d_x3 0.430288 0.465925 0.924 0.3557
  < 5: d_y1_d_x4 -0.286091 0.511348 -0.559 0.5758
  < 5: d_y2_d_x4 -0.629731 0.347755 -1.811 0.0702 .
  < 5: d_y3_d_x4 0.469405 0.346199 1.356 0.1751
  < 6: d_y1_d_x1 0.026992 0.154501 0.175 0.8613
  < 6: d_y2_d_x1 0.150920 0.460658 0.328 0.7432
  < 6: d_y3_d_x1 -0.075837 0.270198 -0.281 0.7790
  < 6: d_y1_d_x2 -0.152890 0.463512 -0.330 0.7415
  < 6: d_y2_d_x2 0.065760 0.246988 0.266 0.7900
  < 6: d_y3_d_x2 -0.095750 0.322528 -0.297 0.7666
  < 6: d_y1_d_x3 0.089736 0.391254 0.229 0.8186
  < 6: d_y2_d_x3 -0.075467 0.325988 -0.232 0.8169
  < 6: d_y3_d_x3 0.082394 0.333238 0.247 0.8047
  < 6: d_y1_d_x4 -0.051278 0.237088 -0.216 0.8288
  < 6: d_y2_d_x4 -0.100623 0.507245 -0.198 0.8428
  < 6: d_y3_d_x4 0.089885 0.439736 0.204 0.8380
  < 7: d_y1_d_x1 0.256301 0.455234 0.563 0.5734
  < 7: d_y2_d_x1 0.157029 0.440389 0.357 0.7214
  < 7: d_y3_d_x1 -0.133023 0.380718 -0.349 0.7268
  < 7: d_y1_d_x2 -0.038667 0.164698 -0.235 0.8144
  < 7: d_y2_d_x2 0.118400 0.358181 0.331 0.7410
  < 7: d_y3_d_x2 -0.147251 0.404268 -0.364 0.7157
  < 7: d_y1_d_x3 0.125116 0.403976 0.310 0.7568
  < 7: d_y2_d_x3 -0.321710 0.522218 -0.616 0.5379
  < 7: d_y3_d_x3 0.322151 0.467820 0.689 0.4911
  < 7: d_y1_d_x4 -0.071495 0.285471 -0.250 0.8022
  < 7: d_y2_d_x4 -0.428947 0.737887 -0.581 0.5610
  < 7: d_y3_d_x4 0.351437 0.549872 0.639 0.5227
  < 8: d_y1_d_x1 0.131828 0.200736 0.657 0.5114
  < 8: d_y2_d_x1 0.376948 0.385153 0.979 0.3277
  < 8: d_y3_d_x1 -0.226111 0.404274 -0.559 0.5760
  < 8: d_y1_d_x2 -0.330778 0.434486 -0.761 0.4465
  < 8: d_y2_d_x2 0.219460 0.406098 0.540 0.5889
  < 8: d_y3_d_x2 -0.265927 0.401733 -0.662 0.5080
  < 8: d_y1_d_x3 0.317023 0.380622 0.833 0.4049
  < 8: d_y2_d_x3 -0.378620 0.378829 -0.999 0.3176
  < 8: d_y3_d_x3 0.367771 0.372295 0.988 0.3232
  < 8: d_y1_d_x4 -0.181156 0.289976 -0.625 0.5321
  < 8: d_y2_d_x4 -0.504827 0.485713 -1.039 0.2986
  < 8: d_y3_d_x4 0.401205 0.424522 0.945 0.3446
  < 9: d_y1_d_x1 0.302950 0.601313 0.504 0.6144
  < 9: d_y2_d_x1 0.029627 0.119098 0.249 0.8035
  < 9: d_y3_d_x1 -0.026668 0.103269 -0.258 0.7962
  < 9: d_y1_d_x2 -0.230896 0.364964 -0.633 0.5270
  < 9: d_y2_d_x2 0.072908 0.184501 0.395 0.6927
  < 9: d_y3_d_x2 -0.097100 0.225089 -0.431 0.6662
  < 9: d_y1_d_x3 0.168372 0.416487 0.404 0.6860
  < 9: d_y2_d_x3 -0.085632 0.254656 -0.336 0.7367
  < 9: d_y3_d_x3 0.083894 0.241357 0.348 0.7281
  < 9: d_y1_d_x4 -0.096212 0.317272 -0.303 0.7617
  < 9: d_y2_d_x4 -0.114176 0.384669 -0.297 0.7666
  < 9: d_y3_d_x4 0.091521 0.303278 0.302 0.7628
  < 10: d_y1_d_x1 0.002096 0.010845 0.193 0.8468
  < 10: d_y2_d_x1 0.242659 0.508848 0.477 0.6334
  < 10: d_y3_d_x1 -0.127937 0.365636 -0.350 0.7264
  < 10: d_y1_d_x2 -0.029343 0.127161 -0.231 0.8175
  < 10: d_y2_d_x2 0.117824 0.349490 0.337 0.7360
  < 10: d_y3_d_x2 -0.157532 0.407346 -0.387 0.6990
  < 10: d_y1_d_x3 0.009359 0.039280 0.238 0.8117
  < 10: d_y2_d_x3 -0.156396 0.298764 -0.523 0.6006
  < 10: d_y3_d_x3 0.159523 0.280018 0.570 0.5689
  < 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.8275
  < 10: d_y2_d_x4 -0.208528 0.558871 -0.373 0.7091
  < 10: d_y3_d_x4 0.174025 0.463525 0.375 0.7073
  ---
  > 1: d_y1_d_x1 0.180673 0.506428 0.357 0.721
  > 1: d_y2_d_x1 0.219666 0.420176 0.523 0.601
  > 1: d_y3_d_x1 -0.122356 0.286500 -0.427 0.669
  > 1: d_y1_d_x2 -0.129203 0.283404 -0.456 0.648
  > 1: d_y2_d_x2 0.225810 0.348047 0.649 0.516
  > 1: d_y3_d_x2 -0.241208 0.329144 -0.733 0.464
  > 1: d_y1_d_x3 0.070273 0.234935 0.299 0.765
  > 1: d_y2_d_x3 -0.400098 0.362400 -1.104 0.270
  > 1: d_y3_d_x3 0.302437 0.385471 0.785 0.433
  > 1: d_y1_d_x4 -0.040156 0.145693 -0.276 0.783
  > 1: d_y2_d_x4 -0.533464 0.735711 -0.725 0.468
  > 1: d_y3_d_x4 0.329931 0.641542 0.514 0.607
  > 2: d_y1_d_x1 0.430122 0.317561 1.354 0.176
  > 2: d_y2_d_x1 0.190084 0.327883 0.580 0.562
  > 2: d_y3_d_x1 -0.131959 0.254364 -0.519 0.604
  > 2: d_y1_d_x2 -0.373654 0.393924 -0.949 0.343
  > 2: d_y2_d_x2 0.215256 0.319713 0.673 0.501
  > 2: d_y3_d_x2 -0.248972 0.312271 -0.797 0.425
  > 2: d_y1_d_x3 0.538657 0.410535 1.312 0.189
  > 2: d_y2_d_x3 -0.365765 0.459493 -0.796 0.426
  > 2: d_y3_d_x3 0.320224 0.436354 0.734 0.463
  > 2: d_y1_d_x4 -0.307804 0.425998 -0.723 0.470
  > 2: d_y2_d_x4 -0.487687 0.549551 -0.887 0.375
  > 2: d_y3_d_x4 0.349336 0.448619 0.779 0.436
  > 3: d_y1_d_x1 0.115233 0.409160 0.282 0.778
  > 3: d_y2_d_x1 0.367505 0.351286 1.046 0.295
  > 3: d_y3_d_x1 -0.203146 0.350334 -0.580 0.562
  > 3: d_y1_d_x2 -0.314837 0.424044 -0.742 0.458
  > 3: d_y2_d_x2 0.208986 0.351459 0.595 0.552
  > 3: d_y3_d_x2 -0.242199 0.360140 -0.673 0.501
  > 3: d_y1_d_x3 0.287480 0.659852 0.436 0.663
  > 3: d_y2_d_x3 -0.347907 0.542185 -0.642 0.521
  > 3: d_y3_d_x3 0.304625 0.507588 0.600 0.548
  > 3: d_y1_d_x4 -0.164274 0.382843 -0.429 0.668
  > 3: d_y2_d_x4 -0.463876 0.971373 -0.478 0.633
  > 3: d_y3_d_x4 0.332318 0.780284 0.426 0.670
  > 4: d_y1_d_x1 0.207611 0.540019 0.384 0.701
  > 4: d_y2_d_x1 0.382763 0.357810 1.070 0.285
  > 4: d_y3_d_x1 -0.228889 0.357614 -0.640 0.522
  > 4: d_y1_d_x2 -0.374273 0.337358 -1.109 0.267
  > 4: d_y2_d_x2 0.232552 0.363994 0.639 0.523
  > 4: d_y3_d_x2 -0.268560 0.355628 -0.755 0.450
  > 4: d_y1_d_x3 0.430074 0.609174 0.706 0.480
  > 4: d_y2_d_x3 -0.428740 0.443926 -0.966 0.334
  > 4: d_y3_d_x3 0.377649 0.445672 0.847 0.397
  > 4: d_y1_d_x4 -0.245757 0.366500 -0.671 0.503
  > 4: d_y2_d_x4 -0.571653 0.778465 -0.734 0.463
  > 4: d_y3_d_x4 0.411980 0.688066 0.599 0.549
  > 5: d_y1_d_x1 0.448007 0.365489 1.226 0.220
  > 5: d_y2_d_x1 0.312561 0.479915 0.651 0.515
  > 5: d_y3_d_x1 -0.209051 0.417286 -0.501 0.616
  > 5: d_y1_d_x2 -0.382741 0.346813 -1.104 0.270
  > 5: d_y2_d_x2 0.233731 0.366815 0.637 0.524
  > 5: d_y3_d_x2 -0.270658 0.358474 -0.755 0.450
  > 5: d_y1_d_x3 0.500660 0.632862 0.791 0.429
  > 5: d_y2_d_x3 -0.472298 0.460031 -1.027 0.305
  > 5: d_y3_d_x3 0.430288 0.466127 0.923 0.356
  > 5: d_y1_d_x4 -0.286091 0.511232 -0.560 0.576
  > 5: d_y2_d_x4 -0.629731 0.347579 -1.812 0.070 .
  > 5: d_y3_d_x4 0.469405 0.346208 1.356 0.175
  > 6: d_y1_d_x1 0.026992 0.154501 0.175 0.861
  > 6: d_y2_d_x1 0.150920 0.460658 0.328 0.743
  > 6: d_y3_d_x1 -0.075837 0.270198 -0.281 0.779
  > 6: d_y1_d_x2 -0.152890 0.463512 -0.330 0.742
  > 6: d_y2_d_x2 0.065760 0.246988 0.266 0.790
  > 6: d_y3_d_x2 -0.095750 0.322528 -0.297 0.767
  > 6: d_y1_d_x3 0.089736 0.391283 0.229 0.819
  > 6: d_y2_d_x3 -0.075467 0.325632 -0.232 0.817
  > 6: d_y3_d_x3 0.082394 0.333304 0.247 0.805
  > 6: d_y1_d_x4 -0.051278 0.237104 -0.216 0.829
  > 6: d_y2_d_x4 -0.100623 0.506839 -0.199 0.843
  > 6: d_y3_d_x4 0.089885 0.439802 0.204 0.838
  > 7: d_y1_d_x1 0.256301 0.455234 0.563 0.573
  > 7: d_y2_d_x1 0.157029 0.440389 0.357 0.721
  > 7: d_y3_d_x1 -0.133023 0.380718 -0.349 0.727
  > 7: d_y1_d_x2 -0.038667 0.164698 -0.235 0.814
  > 7: d_y2_d_x2 0.118400 0.358181 0.331 0.741
  > 7: d_y3_d_x2 -0.147251 0.404268 -0.364 0.716
  > 7: d_y1_d_x3 0.125116 0.404070 0.310 0.757
  > 7: d_y2_d_x3 -0.321710 0.522570 -0.616 0.538
  > 7: d_y3_d_x3 0.322151 0.467820 0.689 0.491
  > 7: d_y1_d_x4 -0.071495 0.285526 -0.250 0.802
  > 7: d_y2_d_x4 -0.428947 0.738264 -0.581 0.561
  > 7: d_y3_d_x4 0.351437 0.549872 0.639 0.523
  > 8: d_y1_d_x1 0.131828 0.200736 0.657 0.511
  > 8: d_y2_d_x1 0.376948 0.385153 0.979 0.328
  > 8: d_y3_d_x1 -0.226111 0.404274 -0.559 0.576
  > 8: d_y1_d_x2 -0.330778 0.434486 -0.761 0.446
  > 8: d_y2_d_x2 0.219460 0.406098 0.540 0.589
  > 8: d_y3_d_x2 -0.265927 0.401733 -0.662 0.508
  > 8: d_y1_d_x3 0.317023 0.380555 0.833 0.405
  > 8: d_y2_d_x3 -0.378620 0.378870 -0.999 0.318
  > 8: d_y3_d_x3 0.367771 0.372121 0.988 0.323
  > 8: d_y1_d_x4 -0.181156 0.289907 -0.625 0.532
  > 8: d_y2_d_x4 -0.504827 0.485617 -1.040 0.299
  > 8: d_y3_d_x4 0.401205 0.424349 0.945 0.344
  > 9: d_y1_d_x1 0.302950 0.601313 0.504 0.614
  > 9: d_y2_d_x1 0.029627 0.119098 0.249 0.804
  > 9: d_y3_d_x1 -0.026668 0.103269 -0.258 0.796
  > 9: d_y1_d_x2 -0.230896 0.364964 -0.633 0.527
  > 9: d_y2_d_x2 0.072908 0.184501 0.395 0.693
  > 9: d_y3_d_x2 -0.097100 0.225089 -0.431 0.666
  > 9: d_y1_d_x3 0.168372 0.416529 0.404 0.686
  > 9: d_y2_d_x3 -0.085632 0.254682 -0.336 0.737
  > 9: d_y3_d_x3 0.083894 0.241358 0.348 0.728
  > 9: d_y1_d_x4 -0.096212 0.317277 -0.303 0.762
  > 9: d_y2_d_x4 -0.114176 0.384666 -0.297 0.767
  > 9: d_y3_d_x4 0.091521 0.303290 0.302 0.763
  > 10: d_y1_d_x1 0.002096 0.010845 0.193 0.847
  > 10: d_y2_d_x1 0.242659 0.508848 0.477 0.633
  > 10: d_y3_d_x1 -0.127937 0.365636 -0.350 0.726
  > 10: d_y1_d_x2 -0.029343 0.127161 -0.231 0.818
  > 10: d_y2_d_x2 0.117824 0.349490 0.337 0.736
  > 10: d_y3_d_x2 -0.157532 0.407346 -0.387 0.699
  > 10: d_y1_d_x3 0.009359 0.039280 0.238 0.812
  > 10: d_y2_d_x3 -0.156396 0.298678 -0.524 0.601
  > 10: d_y3_d_x3 0.159523 0.280080 0.570 0.569
  > 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.827
  > 10: d_y2_d_x4 -0.208528 0.558811 -0.373 0.709
  > 10: d_y3_d_x4 0.174025 0.463528 0.375 0.707
  1029,1148c1029,1148
  < 1: d_y1_d_x1 0.060234 0.229069 0.263 0.7926
  < 1: d_y2_d_x1 0.333415 0.493550 0.676 0.4993
  < 1: d_y3_d_x1 -0.164966 0.377997 -0.436 0.6625
  < 1: d_y1_d_x2 -0.050195 0.164169 -0.306 0.7598
  < 1: d_y2_d_x2 0.200049 0.280941 0.712 0.4764
  < 1: d_y3_d_x2 -0.192460 0.275439 -0.699 0.4847
  < 1: d_y1_d_x3 0.070273 0.234891 0.299 0.7648
  < 1: d_y2_d_x3 -0.400098 0.362458 -1.104 0.2697
  < 1: d_y3_d_x3 0.302437 0.385478 0.785 0.4327
  < 1: d_y1_d_x4 -0.040156 0.145672 -0.276 0.7828
  < 1: d_y2_d_x4 -0.533464 0.735547 -0.725 0.4683
  < 1: d_y3_d_x4 0.329931 0.641500 0.514 0.6070
  < 2: d_y1_d_x1 0.461706 0.425426 1.085 0.2778
  < 2: d_y2_d_x1 0.304804 0.446903 0.682 0.4952
  &