• using R version 3.0.1 Patched (2013-06-16 r62969)
• using platform: x86_64-unknown-linux-gnu (64-bit)
• using session charset: UTF-8
• 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 for executable files ... OK
• checking for hidden files and directories ... OK
• checking for portable file names ... OK
• checking for sufficient/correct file permissions ... OK
• checking whether package ‘mvProbit’ can be installed ... OK
• checking installed package size ... OK
• checking package directory ... 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
• 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 ... [9s/9s] OK
• checking for unstated dependencies in tests ... OK
• checking tests ... [225s/225s] OK
  Running ‘mvProbitEst.R’ [58s/58s]
  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: 2.583756e-07"
  < [2] "Component 3: Mean relative difference: 2.338591e-06"
  < [3] "Component 4: Mean relative difference: 1.014638e-06"
  < [4] "Component 11: Mean relative difference: 5.503558e-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: 9.774242e-07"
  < [3] "Component 4: Mean relative difference: 5.204514e-07"
  < [4] "Component 12: Mean relative difference: 2.467525e-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: 0.0003712328"
  < [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
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  < 12: d_y3_d_x2 3.860e-01 1.701e-01 2.269 0.02328 *
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  < 13: d_y3_d_x2 4.653e-01 2.486e-01 1.871 0.06128 .
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  < 15: d_y2_d_x2 -4.238e-01 2.159e-01 -1.963 0.04959 *
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  < 25: d_y2_d_x2 -6.090e-01 2.534e-01 -2.404 0.01624 *
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  < 30: d_y2_d_x2 -5.997e-01 2.550e-01 -2.352 0.01869 *
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  < 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 *
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  < 46: d_y3_d_x2 5.224e-01 2.828e-01 1.847 0.06470 .
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  < 49: d_y2_d_x2 -5.626e-01 2.253e-01 -2.497 0.01251 *
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  < 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’ [54s/54s]
  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
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  < [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
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  < [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
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  < [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
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  < [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
  < 2: d_y3_d_x1 -0.174668 0.354644 -0.493 0.6224
  < 2: d_y1_d_x2 -0.384755 0.302081 -1.274 0.2028
  < 2: d_y2_d_x2 0.182883 0.222563 0.822 0.4112
  < 2: d_y3_d_x2 -0.203779 0.215441 -0.946 0.3442
  < 2: d_y1_d_x3 0.538657 0.410543 1.312 0.1895
  < 2: d_y2_d_x3 -0.365765 0.459421 -0.796 0.4259
  < 2: d_y3_d_x3 0.320224 0.436340 0.734 0.4630
  < 2: d_y1_d_x4 -0.307804 0.426041 -0.722 0.4700
  < 2: d_y2_d_x4 -0.487687 0.549576 -0.887 0.3749
  < 2: d_y3_d_x4 0.349336 0.448600 0.779 0.4361
  < 3: d_y1_d_x1 0.246411 0.741814 0.332 0.7398
  < 3: d_y2_d_x1 0.289922 0.458628 0.632 0.5273
  < 3: d_y3_d_x1 -0.166159 0.309653 -0.537 0.5915
  < 3: d_y1_d_x2 -0.205343 0.465663 -0.441 0.6592
  < 3: d_y2_d_x2 0.173953 0.311849 0.558 0.5770
  < 3: d_y3_d_x2 -0.193852 0.343657 -0.564 0.5727
  < 3: d_y1_d_x3 0.287480 0.659862 0.436 0.6631
  < 3: d_y2_d_x3 -0.347907 0.542040 -0.642 0.5210
  < 3: d_y3_d_x3 0.304625 0.507399 0.600 0.5483
  < 3: d_y1_d_x4 -0.164274 0.382836 -0.429 0.6679
  < 3: d_y2_d_x4 -0.463876 0.971352 -0.478 0.6330
  < 3: d_y3_d_x4 0.332318 0.780151 0.426 0.6701
  < 4: d_y1_d_x1 0.368635 0.750782 0.491 0.6234
  < 4: d_y2_d_x1 0.357283 0.359035 0.995 0.3197
  < 4: d_y3_d_x1 -0.205990 0.308517 -0.668 0.5043
  < 4: d_y1_d_x2 -0.307196 0.412472 -0.745 0.4564
  < 4: d_y2_d_x2 0.214370 0.315233 0.680 0.4965
  < 4: d_y3_d_x2 -0.240322 0.319479 -0.752 0.4519
  < 4: d_y1_d_x3 0.430074 0.609132 0.706 0.4802
  < 4: d_y2_d_x3 -0.428740 0.443667 -0.966 0.3339
  < 4: d_y3_d_x3 0.377649 0.445647 0.847 0.3968
  < 4: d_y1_d_x4 -0.245757 0.366506 -0.671 0.5025
  < 4: d_y2_d_x4 -0.571653 0.778475 -0.734 0.4628
  < 4: d_y3_d_x4 0.411980 0.688013 0.599 0.5493
  < 5: d_y1_d_x1 0.429137 0.328361 1.307 0.1912
  < 5: d_y2_d_x1 0.393582 0.467800 0.841 0.4002
  < 5: d_y3_d_x1 -0.234703 0.442813 -0.530 0.5961
  < 5: d_y1_d_x2 -0.357614 0.462320 -0.774 0.4392
  < 5: d_y2_d_x2 0.236149 0.399435 0.591 0.5544
  < 5: d_y3_d_x2 -0.273820 0.402558 -0.680 0.4964
  < 5: d_y1_d_x3 0.500660 0.633149 0.791 0.4291
  < 5: d_y2_d_x3 -0.472298 0.460163 -1.026 0.3047
  < 5: d_y3_d_x3 0.430288 0.465925 0.924 0.3557
  < 5: d_y1_d_x4 -0.286091 0.511348 -0.559 0.5758
  < 5: d_y2_d_x4 -0.629731 0.347755 -1.811 0.0702 .
  < 5: d_y3_d_x4 0.469405 0.346199 1.356 0.1751
  < 6: d_y1_d_x1 0.076917 0.399589 0.192 0.8474
  < 6: d_y2_d_x1 0.062889 0.284869 0.221 0.8253
  < 6: d_y3_d_x1 -0.044942 0.189725 -0.237 0.8127
  < 6: d_y1_d_x2 -0.064097 0.288673 -0.222 0.8243
  < 6: d_y2_d_x2 0.037734 0.167608 0.225 0.8219
  < 6: d_y3_d_x2 -0.052433 0.222176 -0.236 0.8134
  < 6: d_y1_d_x3 0.089736 0.391254 0.229 0.8186
  < 6: d_y2_d_x3 -0.075467 0.325988 -0.232 0.8169
  < 6: d_y3_d_x3 0.082394 0.333238 0.247 0.8047
  < 6: d_y1_d_x4 -0.051278 0.237088 -0.216 0.8288
  < 6: d_y2_d_x4 -0.100623 0.507245 -0.198 0.8428
  < 6: d_y3_d_x4 0.089885 0.439736 0.204 0.8380
  < 7: d_y1_d_x1 0.107242 0.335695 0.319 0.7494
  < 7: d_y2_d_x1 0.268092 0.654960 0.409 0.6823
  < 7: d_y3_d_x1 -0.175718 0.493248 -0.356 0.7217
  < 7: d_y1_d_x2 -0.089369 0.362408 -0.247 0.8052
  < 7: d_y2_d_x2 0.160855 0.480808 0.335 0.7380
  < 7: d_y3_d_x2 -0.205005 0.533324 -0.384 0.7007
  < 7: d_y1_d_x3 0.125116 0.403976 0.310 0.7568
  < 7: d_y2_d_x3 -0.321710 0.522218 -0.616 0.5379
  < 7: d_y3_d_x3 0.322151 0.467820 0.689 0.4911
  < 7: d_y1_d_x4 -0.071495 0.285471 -0.250 0.8022
  < 7: d_y2_d_x4 -0.428947 0.737887 -0.581 0.5610
  < 7: d_y3_d_x4 0.351437 0.549872 0.639 0.5227
  < 8: d_y1_d_x1 0.271734 0.370560 0.733 0.4634
  < 8: d_y2_d_x1 0.315517 0.384084 0.821 0.4114
  < 8: d_y3_d_x1 -0.200603 0.355554 -0.564 0.5726
  < 8: d_y1_d_x2 -0.226445 0.333205 -0.680 0.4968
  < 8: d_y2_d_x2 0.189310 0.341789 0.554 0.5797
  < 8: d_y3_d_x2 -0.234036 0.362911 -0.645 0.5190
  < 8: d_y1_d_x3 0.317023 0.380622 0.833 0.4049
  < 8: d_y2_d_x3 -0.378620 0.378829 -0.999 0.3176
  < 8: d_y3_d_x3 0.367771 0.372295 0.988 0.3232
  < 8: d_y1_d_x4 -0.181156 0.289976 -0.625 0.5321
  < 8: d_y2_d_x4 -0.504827 0.485713 -1.039 0.2986
  < 8: d_y3_d_x4 0.401205 0.424522 0.945 0.3446
  < 9: d_y1_d_x1 0.144319 0.428640 0.337 0.7364
  < 9: d_y2_d_x1 0.071360 0.253986 0.281 0.7787
  < 9: d_y3_d_x1 -0.045760 0.171173 -0.267 0.7892
  < 9: d_y1_d_x2 -0.120266 0.295341 -0.407 0.6839
  < 9: d_y2_d_x2 0.042816 0.123046 0.348 0.7279
  < 9: d_y3_d_x2 -0.053387 0.151548 -0.352 0.7246
  < 9: d_y1_d_x3 0.168372 0.416487 0.404 0.6860
  < 9: d_y2_d_x3 -0.085632 0.254656 -0.336 0.7367
  < 9: d_y3_d_x3 0.083894 0.241357 0.348 0.7281
  < 9: d_y1_d_x4 -0.096212 0.317272 -0.303 0.7617
  < 9: d_y2_d_x4 -0.114176 0.384669 -0.297 0.7666
  < 9: d_y3_d_x4 0.091521 0.303278 0.302 0.7628
  < 10: d_y1_d_x1 0.008022 0.038409 0.209 0.8346
  < 10: d_y2_d_x1 0.130330 0.346800 0.376 0.7071
  < 10: d_y3_d_x1 -0.087012 0.250314 -0.348 0.7281
  < 10: d_y1_d_x2 -0.006685 0.032220 -0.207 0.8356
  < 10: d_y2_d_x2 0.078198 0.232741 0.336 0.7369
  < 10: d_y3_d_x2 -0.101515 0.278728 -0.364 0.7157
  < 10: d_y1_d_x3 0.009359 0.039280 0.238 0.8117
  < 10: d_y2_d_x3 -0.156396 0.298764 -0.523 0.6006
  < 10: d_y3_d_x3 0.159523 0.280018 0.570 0.5689
  < 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.8275
  < 10: d_y2_d_x4 -0.208528 0.558871 -0.373 0.7091
  < 10: d_y3_d_x4 0.174025 0.463525 0.375 0.7073
  ---
  > 1: d_y1_d_x1 0.060234 0.229108 0.263 0.793
  > 1: d_y2_d_x1 0.333415 0.493646 0.675 0.499
  > 1: d_y3_d_x1 -0.164966 0.378021 -0.436 0.663
  > 1: d_y1_d_x2 -0.050195 0.164201 -0.306 0.760
  > 1: d_y2_d_x2 0.200049 0.281001 0.712 0.477
  > 1: d_y3_d_x2 -0.192460 0.275484 -0.699 0.485
  > 1: d_y1_d_x3 0.070273 0.234935 0.299 0.765
  > 1: d_y2_d_x3 -0.400098 0.362400 -1.104 0.270
  > 1: d_y3_d_x3 0.302437 0.385471 0.785 0.433
  > 1: d_y1_d_x4 -0.040156 0.145693 -0.276 0.783
  > 1: d_y2_d_x4 -0.533464 0.735711 -0.725 0.468
  > 1: d_y3_d_x4 0.329931 0.641542 0.514 0.607
  > 2: d_y1_d_x1 0.461706 0.425420 1.085 0.278
  > 2: d_y2_d_x1 0.304804 0.446891 0.682 0.495
  > 2: d_y3_d_x1 -0.174668 0.354664 -0.492 0.622
  > 2: d_y1_d_x2 -0.384755 0.302075 -1.274 0.203
  > 2: d_y2_d_x2 0.182883 0.222555 0.822 0.411
  > 2: d_y3_d_x2 -0.203779 0.215459 -0.946 0.344
  > 2: d_y1_d_x3 0.538657 0.410535 1.312 0.189
  > 2: d_y2_d_x3 -0.365765 0.459493 -0.796 0.426
  > 2: d_y3_d_x3 0.320224 0.436354 0.734 0.463
  > 2: d_y1_d_x4 -0.307804 0.425998 -0.723 0.470
  > 2: d_y2_d_x4 -0.487687 0.549551 -0.887 0.375
  > 2: d_y3_d_x4 0.349336 0.448619 0.779 0.436
  > 3: d_y1_d_x1 0.246411 0.741815 0.332 0.740
  > 3: d_y2_d_x1 0.289922 0.458618 0.632 0.527
  > 3: d_y3_d_x1 -0.166159 0.309677 -0.537 0.592
  > 3: d_y1_d_x2 -0.205343 0.465676 -0.441 0.659
  > 3: d_y2_d_x2 0.173953 0.311819 0.558 0.577
  > 3: d_y3_d_x2 -0.193852 0.343697 -0.564 0.573
  > 3: d_y1_d_x3 0.287480 0.659852 0.436 0.663
  > 3: d_y2_d_x3 -0.347907 0.542185 -0.642 0.521
  > 3: d_y3_d_x3 0.304625 0.507588 0.600 0.548
  > 3: d_y1_d_x4 -0.164274 0.382843 -0.429 0.668
  > 3: d_y2_d_x4 -0.463876 0.971373 -0.478 0.633
  > 3: d_y3_d_x4 0.332318 0.780284 0.426 0.670
  > 4: d_y1_d_x1 0.368635 0.750796 0.491 0.623
  > 4: d_y2_d_x1 0.357283 0.359055 0.995 0.320
  > 4: d_y3_d_x1 -0.205990 0.308528 -0.668 0.504
  > 4: d_y1_d_x2 -0.307196 0.412510 -0.745 0.456
  > 4: d_y2_d_x2 0.214370 0.315135 0.680 0.496
  > 4: d_y3_d_x2 -0.240322 0.319493 -0.752 0.452
  > 4: d_y1_d_x3 0.430074 0.609174 0.706 0.480
  > 4: d_y2_d_x3 -0.428740 0.443926 -0.966 0.334
  > 4: d_y3_d_x3 0.377649 0.445672 0.847 0.397
  > 4: d_y1_d_x4 -0.245757 0.366500 -0.671 0.503
  > 4: d_y2_d_x4 -0.571653 0.778465 -0.734 0.463
  > 4: d_y3_d_x4 0.411980 0.688066 0.599 0.549
  > 5: d_y1_d_x1 0.429137 0.328389 1.307 0.191
  > 5: d_y2_d_x1 0.393582 0.467655 0.842 0.400
  > 5: d_y3_d_x1 -0.234703 0.442903 -0.530 0.596
  > 5: d_y1_d_x2 -0.357614 0.462119 -0.774 0.439
  > 5: d_y2_d_x2 0.236149 0.399413 0.591 0.554
  > 5: d_y3_d_x2 -0.273820 0.402605 -0.680 0.496
  > 5: d_y1_d_x3 0.500660 0.632862 0.791 0.429
  > 5: d_y2_d_x3 -0.472298 0.460031 -1.027 0.305
  > 5: d_y3_d_x3 0.430288 0.466127 0.923 0.356
  > 5: d_y1_d_x4 -0.286091 0.511232 -0.560 0.576
  > 5: d_y2_d_x4 -0.629731 0.347579 -1.812 0.070 .
  > 5: d_y3_d_x4 0.469405 0.346208 1.356 0.175
  > 6: d_y1_d_x1 0.076917 0.399613 0.192 0.847
  > 6: d_y2_d_x1 0.062889 0.284635 0.221 0.825
  > 6: d_y3_d_x1 -0.044942 0.189754 -0.237 0.813
  > 6: d_y1_d_x2 -0.064097 0.288689 -0.222 0.824
  > 6: d_y2_d_x2 0.037734 0.167485 0.225 0.822
  > 6: d_y3_d_x2 -0.052433 0.222212 -0.236 0.813
  > 6: d_y1_d_x3 0.089736 0.391283 0.229 0.819
  > 6: d_y2_d_x3 -0.075467 0.325632 -0.232 0.817
  > 6: d_y3_d_x3 0.082394 0.333304 0.247 0.805
  > 6: d_y1_d_x4 -0.051278 0.237104 -0.216 0.829
  > 6: d_y2_d_x4 -0.100623 0.506839 -0.199 0.843
  > 6: d_y3_d_x4 0.089885 0.439802 0.204 0.838
  > 7: d_y1_d_x1 0.107242 0.335747 0.319 0.749
  > 7: d_y2_d_x1 0.268092 0.655234 0.409 0.682
  > 7: d_y3_d_x1 -0.175718 0.493248 -0.356 0.722
  > 7: d_y1_d_x2 -0.089369 0.362442 -0.247 0.805
  > 7: d_y2_d_x2 0.160855 0.480950 0.334 0.738
  > 7: d_y3_d_x2 -0.205005 0.533324 -0.384 0.701
  > 7: d_y1_d_x3 0.125116 0.404070 0.310 0.757
  > 7: d_y2_d_x3 -0.321710 0.522570 -0.616 0.538
  > 7: d_y3_d_x3 0.322151 0.467820 0.689 0.491
  > 7: d_y1_d_x4 -0.071495 0.285526 -0.250 0.802
  > 7: d_y2_d_x4 -0.428947 0.738264 -0.581 0.561
  > 7: d_y3_d_x4 0.351437 0.549872 0.639 0.523
  > 8: d_y1_d_x1 0.271734 0.370440 0.734 0.463
  > 8: d_y2_d_x1 0.315517 0.384094 0.821 0.411
  > 8: d_y3_d_x1 -0.200603 0.355534 -0.564 0.573
  > 8: d_y1_d_x2 -0.226445 0.333112 -0.680 0.497
  > 8: d_y2_d_x2 0.189310 0.341793 0.554 0.580
  > 8: d_y3_d_x2 -0.234036 0.362884 -0.645 0.519
  > 8: d_y1_d_x3 0.317023 0.380555 0.833 0.405
  > 8: d_y2_d_x3 -0.378620 0.378870 -0.999 0.318
  > 8: d_y3_d_x3 0.367771 0.372121 0.988 0.323
  > 8: d_y1_d_x4 -0.181156 0.289907 -0.625 0.532
  > 8: d_y2_d_x4 -0.504827 0.485617 -1.040 0.299
  > 8: d_y3_d_x4 0.401205 0.424349 0.945 0.344
  > 9: d_y1_d_x1 0.144319 0.428654 0.337 0.736
  > 9: d_y2_d_x1 0.071360 0.254004 0.281 0.779
  > 9: d_y3_d_x1 -0.045760 0.171176 -0.267 0.789
  > 9: d_y1_d_x2 -0.120266 0.295330 -0.407 0.684
  > 9: d_y2_d_x2 0.042816 0.123059 0.348 0.728
  > 9: d_y3_d_x2 -0.053387 0.151551 -0.352 0.725
  > 9: d_y1_d_x3 0.168372 0.416529 0.404 0.686
  > 9: d_y2_d_x3 -0.085632 0.254682 -0.336 0.737
  > 9: d_y3_d_x3 0.083894 0.241358 0.348 0.728
  > 9: d_y1_d_x4 -0.096212 0.317277 -0.303 0.762
  > 9: d_y2_d_x4 -0.114176 0.384666 -0.297 0.767
  > 9: d_y3_d_x4 0.091521 0.303290 0.302 0.763
  > 10: d_y1_d_x1 0.008022 0.038409 0.209 0.835
  > 10: d_y2_d_x1 0.130330 0.346766 0.376 0.707
  > 10: d_y3_d_x1 -0.087012 0.250335 -0.348 0.728
  > 10: d_y1_d_x2 -0.006685 0.032220 -0.207 0.836
  > 10: d_y2_d_x2 0.078198 0.232723 0.336 0.737
  > 10: d_y3_d_x2 -0.101515 0.278753 -0.364 0.716
  > 10: d_y1_d_x3 0.009359 0.039280 0.238 0.812
  > 10: d_y2_d_x3 -0.156396 0.298678 -0.524 0.601
  > 10: d_y3_d_x3 0.159523 0.280080 0.570 0.569
  > 10: d_y1_d_x4 -0.005348 0.024538 -0.218 0.827
  > 10: d_y2_d_x4 -0.208528 0.558811 -0.373 0.709
  > 10: d_y3_d_x4 0.174025 0.463528 0.375 0.707
  1303c1303
  < mean 0.0131762240 0 0 -0.0135166876 0 0
  ---
  > mean 0.0131837139 0 0 -0.0135209675 0 0
  1311,1312c1311,1312
  < 10 -0.105061662 0 0 -0.19958499 0
  < mean 0.008750508 0 0 -0.02749563 0
  ---
  > 10 -0.105045489 0 0 -0.19956343 0
  > mean 0.008748776 0 0 -0.02749794 0
  1320,1321c1320,1321
  < 10 0 -0.060597587 0 0 -0.10144935
  < mean 0 0.007402118 0 0 -0.01736106
  ---
  > 10 0 -0.060608134 0 0 -0.10146086
  > mean 0 0.007401025 0 0 -0.01736225
  1330c1330
  < mean 0.022070205 0 0 -0.007582236 0 0
  ---
  > mean 0.022071548 0 0 -0.007583003 0 0
  1338,1339c1338,1339
  < 10 -0.06458309 0 0 -0.12268809 0
  < mean 0.03244511 0 0 0.01069094 0
  ---
  > 10 -0.06457314 0 0 -0.12267484 0
  > mean 0.03244536 0 0 0.01069128 0
  1347,1348c1347,1348
  < 10 0 -0.07052900 0 0 -0.118076017
  < mean 0 0.03368832 0 0 0.001945654
  ---
  > 10 0 -0.07054128 0 0 -0.118089409
  > mean 0 0.03369255 0 0 0.001950265
  1354c1354
  < mean 0.0131762240 0 0 0.022070205 0 0
  ---
  > mean 0.0131837139 0 0 0.022071548 0 0
  1357c1357
  < mean 0.019902103 0 0 -0.0014505656 0 0
  ---
  > mean 0.019914554 0 0 -0.0014542480 0 0
  1362,1363c1362,1363
  < 10 0 -0.105061662 0 0 -0.06458309 0 0
  < mean 0 0.008750508 0 0 0.03244511 0 0
  ---
  > 10 0 -0.105045489 0 0 -0.06457314 0 0
  > mean 0 0.008748776 0 0 0.03244536 0 0
  1365,1366c1365,1366
  < 10 0.08926007 0 0 0.15893909 0
  < mean 0.02100814 0 0 0.00970332 0
  ---
  > 10 0.08920869 0 0 0.158879989 0
  > mean 0.02100430 0 0 0.009676448 0
  1371,1372c1371,1372
  < 10 0 0 -0.060597587 0 0 -0.07052900 0
  < mean 0 0 0.007402118 0 0 0.03368832 0
  ---
  > 10 0 0 -0.060608134 0 0 -0.07054128 0
  > mean 0 0 0.007401025 0 0 0.03369255 0
  1374,1375c1374,1375
  < 10 0 0.07841036 0 0 0.12013414
  < mean 0 0.02265446 0 0 0.01162585
  ---
  > 10 0 0.07844472 0 0 0.12015391
  > mean 0 0.02265176 0 0 0.01161896
  1381c1381
  < mean -0.0135166876 0 0 -0.007582236 0 0
  ---
  > mean -0.0135209675 0 0 -0.007583003 0 0
  1384c1384
  < mean -0.0014505656 0 0 0.0387119634 0 0
  ---
  > mean -0.0014542480 0 0 0.0387121063 0 0
  1389,1390c1389,1390
  < 10 0 -0.19958499 0 0 -0.12268809 0 0
  < mean 0 -0.02749563 0 0 0.01069094 0 0
  ---
  > 10 0 -0.19956343 0 0 -0.12267484 0 0
  > mean 0 -0.02749794 0 0 0.01069128 0 0
  1392,1393c1392,1393
  < 10 0.15893909 0 0 0.3123363 0
  < mean 0.00970332 0 0 0.1659365 0
  ---
  > 10 0.158879989 0 0 0.3122700 0
  > mean 0.009676448 0 0 0.1658717 0
  1398,1399c1398,1399
  < 10 0 0 -0.10144935 0 0 -0.118076017 0
  < mean 0 0 -0.01736106 0 0 0.001945654 0
  ---
  > 10 0 0 -0.10146086 0 0 -0.118089409 0
  > mean 0 0 -0.01736225 0 0 0.001950265 0
  1401,1402c1401,1402
  < 10 0 0.12013414 0 0 0.2148557
  < mean 0 0.01162585 0 0 0.1353801
  ---
  > 10 0 0.12015391 0 0 0.2148580
  > mean 0 0.01161896 0 0 0.1353683
  1412,1443c1412,1443
  < d_y1_d_x3 0.01317622 0.000000000 0.000000000 0.022070205 0.000000000
  < d_y2_d_x3 0.00000000 0.008750508 0.000000000 0.000000000 0.032445111
  < d_y3_d_x3 0.00000000 0.000000000 0.007402118 0.000000000 0.000000000
  < d_y1_d_x4 -0.01351669 0.000000000 0.000000000 -0.007582236 0.000000000
  < d_y2_d_x4 0.00000000 -0.027495628 0.000000000 0.000000000 0.010690943
  < d_y3_d_x4 0.00000000 0.000000000 -0.017361059 0.000000000 0.000000000
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < d_y1_d_x1 0.000000000 0.013176224 0.000000000 0.000000000 -0.013516688
  < d_y2_d_x1 0.000000000 0.000000000 0.008750508 0.000000000 0.000000000
  < d_y3_d_x1 -0.007405409 0.000000000 0.000000000 0.007402118 0.000000000
  < d_y1_d_x2 0.000000000 0.022070205 0.000000000 0.000000000 -0.007582236
  < d_y2_d_x2 0.000000000 0.000000000 0.032445111 0.000000000 0.000000000
  < d_y3_d_x2 0.085384250 0.000000000 0.000000000 0.033688322 0.000000000
  < d_y1_d_x3 0.000000000 0.019902103 0.000000000 0.000000000 -0.001450566
  < d_y2_d_x3 0.000000000 0.000000000 0.021008142 0.000000000 0.000000000
  < d_y3_d_x3 0.033688322 0.000000000 0.000000000 0.022654460 0.000000000
  < d_y1_d_x4 0.000000000 -0.001450566 0.000000000 0.000000000 0.038711963
  < d_y2_d_x4 0.000000000 0.000000000 0.009703320 0.000000000 0.000000000
  < d_y3_d_x4 0.001945654 0.000000000 0.000000000 0.011625846 0.000000000
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 0.00000000 0.000000000
  < d_y2_d_x1 -0.02749563 0.000000000
  < d_y3_d_x1 0.00000000 -0.017361059
  < d_y1_d_x2 0.00000000 0.000000000
  < d_y2_d_x2 0.01069094 0.000000000
  < d_y3_d_x2 0.00000000 0.001945654
  < d_y1_d_x3 0.00000000 0.000000000
  < d_y2_d_x3 0.00970332 0.000000000
  < d_y3_d_x3 0.00000000 0.011625846
  < d_y1_d_x4 0.00000000 0.000000000
  < d_y2_d_x4 0.16593652 0.000000000
  < d_y3_d_x4 0.00000000 0.135380119
  ---
  > d_y1_d_x3 0.01318371 0.000000000 0.000000000 0.022071548 0.000000000
  > d_y2_d_x3 0.00000000 0.008748776 0.000000000 0.000000000 0.032445362
  > d_y3_d_x3 0.00000000 0.000000000 0.007401025 0.000000000 0.000000000
  > d_y1_d_x4 -0.01352097 0.000000000 0.000000000 -0.007583003 0.000000000
  > d_y2_d_x4 0.00000000 -0.027497938 0.000000000 0.000000000 0.010691278
  > d_y3_d_x4 0.00000000 0.000000000 -0.017362251 0.000000000 0.000000000
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > d_y1_d_x1 0.000000000 0.013183714 0.000000000 0.000000000 -0.013520967
  > d_y2_d_x1 0.000000000 0.000000000 0.008748776 0.000000000 0.000000000
  > d_y3_d_x1 -0.007405409 0.000000000 0.000000000 0.007401025 0.000000000
  > d_y1_d_x2 0.000000000 0.022071548 0.000000000 0.000000000 -0.007583003
  > d_y2_d_x2 0.000000000 0.000000000 0.032445362 0.000000000 0.000000000
  > d_y3_d_x2 0.085384250 0.000000000 0.000000000 0.033692549 0.000000000
  > d_y1_d_x3 0.000000000 0.019914554 0.000000000 0.000000000 -0.001454248
  > d_y2_d_x3 0.000000000 0.000000000 0.021004297 0.000000000 0.000000000
  > d_y3_d_x3 0.033692549 0.000000000 0.000000000 0.022651757 0.000000000
  > d_y1_d_x4 0.000000000 -0.001454248 0.000000000 0.000000000 0.038712106
  > d_y2_d_x4 0.000000000 0.000000000 0.009676448 0.000000000 0.000000000
  > d_y3_d_x4 0.001950265 0.000000000 0.000000000 0.011618959 0.000000000
  > d_y2_d_x4 d_y3_d_x4
  > d_y1_d_x1 0.000000000 0.000000000
  > d_y2_d_x1 -0.027497938 0.000000000
  > d_y3_d_x1 0.000000000 -0.017362251
  > d_y1_d_x2 0.000000000 0.000000000
  > d_y2_d_x2 0.010691278 0.000000000
  > d_y3_d_x2 0.000000000 0.001950265
  > d_y1_d_x3 0.000000000 0.000000000
  > d_y2_d_x3 0.009676448 0.000000000
  > d_y3_d_x3 0.000000000 0.011618959
  > d_y1_d_x4 0.000000000 0.000000000
  > d_y2_d_x4 0.165871700 0.000000000
  > d_y3_d_x4 0.000000000 0.135368309
  1456,1457c1456,1457
  < 10: d_y2_d_x3 -0.1563963 0.2987642 -0.5235 0.60064
  < 10: d_y3_d_x3 0.1595228 0.2800185 0.5697 0.56889
  ---
  > 10: d_y2_d_x3 -0.1563963 0.2986782 -0.5236 0.60054
  > 10: d_y3_d_x3 0.1595228 0.2800799 0.5696 0.56897
  1459,1460c1459,1460
  < 10: d_y2_d_x4 -0.2085284 0.5588705 -0.3731 0.70906
  < 10: d_y3_d_x4 0.1740249 0.4635253 0.3754 0.70733
  ---
  > 10: d_y2_d_x4 -0.2085284 0.5588112 -0.3732 0.70903
  > 10: d_y3_d_x4 0.1740249 0.4635277 0.3754 0.70734
  1467,1472c1467,1472
  < mean: d_y1_d_x3 0.2536749 0.1410748 1.7982 0.07215 .
  < mean: d_y2_d_x3 -0.3032635 0.1449419 -2.0923 0.03641 *
  < mean: d_y3_d_x3 0.2750956 0.1505140 1.8277 0.06759 .
  < mean: d_y1_d_x4 -0.1449571 0.1967536 -0.7367 0.46128
  < mean: d_y2_d_x4 -0.4043513 0.4073531 -0.9926 0.32089
  < mean: d_y3_d_x4 0.3001043 0.3679404 0.8156 0.41471
  ---
  > mean: d_y1_d_x3 0.2536749 0.1411189 1.7976 0.07224 .
  > mean: d_y2_d_x3 -0.3032635 0.1449286 -2.0925 0.03639 *
  > mean: d_y3_d_x3 0.2750956 0.1505050 1.8278 0.06758 .
  > mean: d_y1_d_x4 -0.1449571 0.1967539 -0.7367 0.46128
  > mean: d_y2_d_x4 -0.4043513 0.4072735 -0.9928 0.32080
  > mean: d_y3_d_x4 0.3001043 0.3679243 0.8157 0.41469
  1498,1505c1498,1505
  < 1 0.176511553 -0.35179286 0.2229842 -0.1468374651 -0.32872178 0.6037347
  < 2 0.470625850 -0.39065433 0.2417527 -0.4007656056 -0.40480342 0.4969012
  < 3 0.440547549 -0.33694170 0.2350549 -0.3803063475 -0.32464544 0.5721855
  < 4 0.520056790 -0.45146105 0.2436830 -0.4144341592 -0.44879952 0.5673865
  < 5 0.329853049 -0.50531263 0.2791236 -0.2238687968 -0.56755035 0.4883268
  < 6 0.253508476 -0.05245314 0.1581382 -0.2782416393 -0.04810410 0.3860385
  < 7 0.036015810 -0.30982533 0.2977379 -0.0217475808 -0.39933261 0.3574982
  < 8 0.147285010 -0.38617280 0.2839412 -0.0911087350 -0.46686982 0.4072656
  ---
  > 1 0.176511552 -0.35179286 0.2229842 -0.1468374650 -0.32872178 0.6037347
  > 2 0.470625849 -0.39065433 0.2417527 -0.4007656059 -0.40480342 0.4969012
  > 3 0.440547549 -0.33694170 0.2350549 -0.3803063472 -0.32464544 0.5721855
  > 4 0.520056790 -0.45146105 0.2436830 -0.4144341596 -0.44879952 0.5673865
  > 5 0.329853048 -0.50531263 0.2791236 -0.2238687970 -0.56755035 0.4883268
  > 6 0.253508476 -0.05245314 0.1581382 -0.2782416392 -0.04810410 0.3860385
  > 7 0.036015809 -0.30982533 0.2977379 -0.0217475812 -0.39933261 0.3574982
  > 8 0.147285010 -0.38617280 0.2839412 -0.0911087353 -0.46686982 0.4072656
  1525,1543c1525,1543
  < 1 0.1884635652 0.17102712 -0.42316725 -0.125801131 0.18806309 -0.12892375
  < 2 0.5099557823 0.22543984 -0.32620929 -0.335328823 0.20402620 -0.14650352
  < 3 0.4821673456 0.17270950 -0.39225087 -0.314821101 0.17871508 -0.13835668
  < 4 0.5392597432 0.24342496 -0.38415941 -0.368805082 0.23826960 -0.14572352
  < 5 0.3084532159 0.32945682 -0.30363340 -0.231071359 0.26068085 -0.17458867
  < 6 0.3290263251 0.02481757 -0.26612804 -0.186121049 0.02795717 -0.09105967
  < 7 0.0313559801 0.24700912 -0.18717169 -0.025031082 0.15490110 -0.19216058
  < 8 0.1301219439 0.28075214 -0.23379151 -0.102554771 0.19614099 -0.18116028
  < 9 0.4656624778 0.03483961 -0.22862972 -0.264787711 0.03761668 -0.08212529
  < 10 0.0009338786 0.12485332 -0.09718526 -0.000786224 0.07414565 -0.12046481
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.176511553 -0.35179286 0.2229842 -0.1468374651 -0.32872178 0.6037347
  < 2 0.470625850 -0.39065433 0.2417527 -0.4007656056 -0.40480342 0.4969012
  < 3 0.440547549 -0.33694170 0.2350549 -0.3803063475 -0.32464544 0.5721855
  < 4 0.520056790 -0.45146105 0.2436830 -0.4144341592 -0.44879952 0.5673865
  < 5 0.329853049 -0.50531263 0.2791236 -0.2238687968 -0.56755035 0.4883268
  < 6 0.253508476 -0.05245314 0.1581382 -0.2782416393 -0.04810410 0.3860385
  < 7 0.036015810 -0.30982533 0.2977379 -0.0217475808 -0.39933261 0.3574982
  < 8 0.147285010 -0.38617280 0.2839412 -0.0911087350 -0.46686982 0.4072656
  ---
  > 1 0.1884635650 0.17102712 -0.42316725 -0.1258011311 0.18806310 -0.12892375
  > 2 0.5099557824 0.22543984 -0.32620929 -0.3353288225 0.20402620 -0.14650352
  > 3 0.4821673453 0.17270950 -0.39225087 -0.3148211010 0.17871508 -0.13835668
  > 4 0.5392597435 0.24342496 -0.38415941 -0.3688050820 0.23826960 -0.14572352
  > 5 0.3084532159 0.32945682 -0.30363340 -0.2310713585 0.26068085 -0.17458867
  > 6 0.3290263250 0.02481757 -0.26612804 -0.1861210493 0.02795716 -0.09105967
  > 7 0.0313559802 0.24700912 -0.18717169 -0.0250310818 0.15490110 -0.19216058
  > 8 0.1301219440 0.28075214 -0.23379151 -0.1025547712 0.19614099 -0.18116028
  > 9 0.4656624777 0.03483961 -0.22862972 -0.2647877107 0.03761669 -0.08212529
  > 10 0.0009338784 0.12485332 -0.09718526 -0.0007862237 0.07414565 -0.12046481
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.176511552 -0.35179286 0.2229842 -0.1468374650 -0.32872178 0.6037347
  > 2 0.470625849 -0.39065433 0.2417527 -0.4007656059 -0.40480342 0.4969012
  > 3 0.440547549 -0.33694170 0.2350549 -0.3803063472 -0.32464544 0.5721855
  > 4 0.520056790 -0.45146105 0.2436830 -0.4144341596 -0.44879952 0.5673865
  > 5 0.329853048 -0.50531263 0.2791236 -0.2238687970 -0.56755035 0.4883268
  > 6 0.253508476 -0.05245314 0.1581382 -0.2782416392 -0.04810410 0.3860385
  > 7 0.036015809 -0.30982533 0.2977379 -0.0217475812 -0.39933261 0.3574982
  > 8 0.147285010 -0.38617280 0.2839412 -0.0911087353 -0.46686982 0.4072656
  1590,1599c1590,1599
  < 1 0.17654673 -0.35173836 0.2230884 -0.1468532996 -0.32870549 0.6038590
  < 2 0.47050847 -0.39074154 0.2416959 -0.4008818186 -0.40494388 0.4968085
  < 3 0.44064334 -0.33692357 0.2351269 -0.3803577019 -0.32467070 0.5722886
  < 4 0.52019140 -0.45148369 0.2437674 -0.4144878626 -0.44884522 0.5675156
  < 5 0.32993069 -0.50525720 0.2791793 -0.2238869512 -0.56754997 0.4882992
  < 6 0.25354621 -0.05240629 0.1581628 -0.2782961086 -0.04819657 0.3860753
  < 7 0.03601456 -0.30982678 0.2977379 -0.0217517271 -0.39933488 0.3574964
  < 8 0.14729740 -0.38616972 0.2839504 -0.0911171901 -0.46687210 0.4072593
  < 9 0.36130356 -0.07095789 0.1415239 -0.3929209854 -0.06636947 0.3342959
  < 10 0.00107701 -0.14918942 0.1852891 -0.0006898552 -0.19920415 0.1993821
  ---
  > 1 0.176546731 -0.35173837 0.2230884 -0.1468532997 -0.32870549 0.6038590
  > 2 0.470508468 -0.39074154 0.2416959 -0.4008818185 -0.40494388 0.4968085
  > 3 0.440643343 -0.33692357 0.2351269 -0.3803577016 -0.32467070 0.5722886
  > 4 0.520191404 -0.45148369 0.2437674 -0.4144878625 -0.44884522 0.5675156
  > 5 0.329930691 -0.50525720 0.2791793 -0.2238869512 -0.56754997 0.4882992
  > 6 0.253546211 -0.05240629 0.1581628 -0.2782961085 -0.04819657 0.3860753
  > 7 0.036014555 -0.30982678 0.2977379 -0.0217517288 -0.39933488 0.3574964
  > 8 0.147297395 -0.38616972 0.2839504 -0.0911171908 -0.46687210 0.4072593
  > 9 0.361303561 -0.07095789 0.1415239 -0.3929209851 -0.06636947 0.3342959
  > 10 0.001077011 -0.14918942 0.1852891 -0.0006898554 -0.19920415 0.1993821
  1607,1612c1607,1612
  < [7] "Component 7: Mean relative difference: 0.0002101608"
  < [8] "Component 8: Mean relative difference: 0.0001300595"
  < [9] "Component 9: Mean relative difference: 0.0002044696"
  < [10] "Component 10: Mean relative difference: 0.0001675271"
  < [11] "Component 11: Mean relative difference: 0.0001336317"
  < [12] "Component 12: Mean relative difference: 0.0001409381"
  ---
  > [7] "Component 7: Mean relative difference: 0.0002101602"
  > [8] "Component 8: Mean relative difference: 0.0001300577"
  > [9] "Component 9: Mean relative difference: 0.0002044689"
  > [10] "Component 10: Mean relative difference: 0.0001675276"
  > [11] "Component 11: Mean relative difference: 0.000133631"
  > [12] "Component 12: Mean relative difference: 0.0001409384"
  1629,1637c1629,1637
  < 1 0.1763299122 -0.35336690 0.2233966 -0.146608979 -0.33322866 0.6039101
  < 2 0.4709427044 -0.39474822 0.2424568 -0.401220332 -0.41533126 0.4972206
  < 3 0.4403126684 -0.33958467 0.2354779 -0.380063995 -0.33216144 0.5723273
  < 4 0.5203984320 -0.45373955 0.2448886 -0.414046786 -0.45507118 0.5682299
  < 5 0.3330012384 -0.50703990 0.2835796 -0.224241439 -0.57213943 0.4910794
  < 6 0.2532455358 -0.05821538 0.1579588 -0.279259652 -0.06532845 0.3858571
  < 7 0.0390976701 -0.31144596 0.3059117 -0.022992330 -0.40247246 0.3630267
  < 8 0.1510299759 -0.38761701 0.2909536 -0.092205017 -0.47013102 0.4115833
  < 9 0.3606962493 -0.07810203 0.1413356 -0.395142891 -0.08668239 0.3341350
  ---
  > 1 0.1763299123 -0.35336690 0.2233966 -0.146608979 -0.33322866 0.6039101
  > 2 0.4709427047 -0.39474822 0.2424568 -0.401220332 -0.41533126 0.4972206
  > 3 0.4403126688 -0.33958467 0.2354779 -0.380063995 -0.33216144 0.5723273
  > 4 0.5203984318 -0.45373955 0.2448886 -0.414046787 -0.45507118 0.5682299
  > 5 0.3330012383 -0.50703990 0.2835796 -0.224241440 -0.57213943 0.4910794
  > 6 0.2532455357 -0.05821538 0.1579588 -0.279259652 -0.06532845 0.3858571
  > 7 0.0390976689 -0.31144596 0.3059117 -0.022992332 -0.40247246 0.3630267
  > 8 0.1510299748 -0.38761701 0.2909536 -0.092205017 -0.47013102 0.4115833
  > 9 0.3606962490 -0.07810203 0.1413356 -0.395142892 -0.08668239 0.3341350
  1648,1649c1648,1649
  < [9] "Component 9: Mean relative difference: 0.01291233"
  < [10] "Component 10: Mean relative difference: 0.00370665"
  ---
  > [9] "Component 9: Mean relative difference: 0.01291234"
  > [10] "Component 10: Mean relative difference: 0.003706651"
  1660,1661c1660,1661
  < [8] "Component 8: Mean relative difference: 0.0097754"
  < [9] "Component 9: Mean relative difference: 0.01282563"
  ---
  > [8] "Component 8: Mean relative difference: 0.009775402"
  > [9] "Component 9: Mean relative difference: 0.01282564"
  1682,1691c1682,1691
  < 1 0.16817105 -0.34301441 0.2182270 -0.13517345 -0.296424706 0.6083034
  < 2 0.43073787 -0.37331845 0.2244791 -0.29583700 -0.345586212 0.4849186
  < 3 0.41205924 -0.32545153 0.2246944 -0.32971272 -0.279847269 0.5686308
  < 4 0.48497682 -0.43971853 0.2322381 -0.35294054 -0.406603074 0.5674606
  < 5 0.30018498 -0.48736224 0.2677792 -0.16964584 -0.530957962 0.4937718
  < 6 0.23046155 -0.03469405 0.1472323 -0.23448731 0.018303022 0.3692521
  < 7 0.02676862 -0.28930258 0.2928207 -0.02104248 -0.371619725 0.3545769
  < 8 0.12347183 -0.36592513 0.2741515 -0.06717796 -0.435908311 0.4095904
  < 9 0.32456657 -0.05199358 0.1296053 -0.31719931 0.008670741 0.3163796
  < 10 -0.02408396 -0.13771422 0.1783179 -0.04203884 -0.184218486 0.1853459
  ---
  > 1 0.16817105 -0.34301440 0.2182270 -0.13517345 -0.29642470 0.6083034
  > 2 0.43073787 -0.37331845 0.2244791 -0.29583700 -0.34558621 0.4849186
  > 3 0.41205924 -0.32545153 0.2246944 -0.32971272 -0.27984727 0.5686308
  > 4 0.48497682 -0.43971853 0.2322381 -0.35294054 -0.40660307 0.5674606
  > 5 0.30018498 -0.48736224 0.2677792 -0.16964583 -0.53095796 0.4937718
  > 6 0.23046155 -0.03469405 0.1472323 -0.23448731 0.01830302 0.3692521
  > 7 0.02676862 -0.28930258 0.2928207 -0.02104248 -0.37161973 0.3545769
  > 8 0.12347183 -0.36592513 0.2741515 -0.06717796 -0.43590831 0.4095904
  > 9 0.32456657 -0.05199359 0.1296053 -0.31719931 0.00867074 0.3163796
  > 10 -0.02408396 -0.13771422 0.1783179 -0.04203884 -0.18421849 0.1853459
  1713c1713
  < [8] "Component 8: Mean relative difference: 0.06116274"
  ---
  > [8] "Component 8: Mean relative difference: 0.06116275"
  1726,1736c1726,1736
  < 1 9.750971e-01 -0.0030037424 -4.490045e-01 -0.2274334727 0.0068307497
  < 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927902 -0.0755630123
  < 10 7.727995e-06 0.0001515647 5.378415e-05 -0.0001392449 0.0001042601
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.1589283487 3.934286e-01 -0.0545844515 -0.2432581367 -4.944853e-01
  < 5 0.0074691017 5.540639e-02 0.0922668020 -0.0213238363 -2.595350e-01
  < 10 0.0002038302 3.910299e-05 -0.0001169125 -0.0002194712 -2.332565e-05
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0198229985 0.269608565
  < 5 -0.0399537906 0.081566935
  < 10 -0.0001923054 -0.000239452
  ---
  > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
  > 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927901 -0.0755630122
  > 10 7.727996e-06 0.0001515647 5.378418e-05 -0.0001392449 0.0001042601
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.1589283485 3.934913e-01 -0.0551360998 -0.2431539207 -4.943851e-01
  > 5 0.0074691017 5.559145e-02 0.0922666787 -0.0209438968 -2.593822e-01
  > 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002206918 -2.316957e-05
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.0188374345 0.270328853
  > 5 -0.0399301204 0.081681433
  > 10 -0.0001923111 -0.000241325
  1741c1741
  < 1 -0.0030037424 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
  ---
  > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
  1745,1747c1745,1747
  < 1 -0.044425020 -0.36633542 0.03799573 -0.0186951558 -0.65413500 -0.05527524
  < 5 0.111725783 -0.09090843 0.03549096 -0.1448381970 -0.08484975 0.05410384
  < 10 0.001119961 -0.10893447 -0.03755846 -0.0004868155 -0.20179176 -0.04416140
  ---
  > 1 -0.044427031 -0.3667550 0.03806791 -0.0186986576 -0.65426181 -0.05504100
  > 5 0.111593955 -0.0907331 0.03541485 -0.1448499710 -0.08451449 0.05376516
  > 10 0.001031063 -0.1089146 -0.03738140 -0.0002466476 -0.20173639 -0.04389582
  1754,1762c1754,1758
  < 10 5.378415e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 -0.0589534852 -0.077033570 0.47425474 0.1896566521 -0.147082517
  < 5 0.2077087857 -0.049667231 -0.08374910 -0.0711749077 -0.028633123
  < 10 0.0001153093 -0.005509167 -0.04793679 -0.0002881854 -0.009574259
  < d_y3_d_x4
  < 1 -0.37529645
  < 5 -0.06049581
  < 10 -0.09158989
  ---
  > 10 5.378418e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.0589949274 -0.077701852 0.47423595 0.189627098 -0.146882467 -0.37513506
  > 5 0.2076679660 -0.049802098 -0.08350722 -0.071267404 -0.028543080 -0.06042803
  > 10 0.0002019259 -0.005508186 -0.04781628 -0.000167342 -0.009577636 -0.09148118
  1767,1768c1763,1764
  < 1 -0.2274334727 0.089143004 0.066369491 0.243352635 -0.051781028
  < 5 0.0274927902 -0.032248624 -0.104236832 0.380620095 -0.066218734
  ---
  > 1 -0.2274334729 0.089143004 0.066369491 0.243352635 -0.051781028
  > 5 0.0274927901 -0.032248624 -0.104236832 0.380620095 -0.066218734
  1771,1777c1767,1773
  < 1 -0.110923427 -0.1634907455 -0.065895948 0.034895237 0.1447586659
  < 5 -0.072756702 -0.3655508281 0.064808166 0.005143587 0.1635483990
  < 10 -0.006398513 -0.0007031102 0.002480571 0.004946782 0.0004110672
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.178230527 -0.03089988
  < 5 0.005741983 0.02351164
  < 10 0.004025100 0.00582476
  ---
  > 1 -0.110923427 -0.1634860393 -0.065417875 0.034736249 0.1447065273
  > 5 -0.072756702 -0.3656135275 0.064841504 0.004927934 0.1635478254
  > 10 -0.006398513 -0.0007135702 0.002481104 0.004964602 0.0004091202
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.178619507 -0.031123121
  > 5 0.005572462 0.023442576
  > 10 0.004025707 0.005855566
  1782,1783c1778,1779
  < 1 0.0068307497 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  < 5 -0.0755630123 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
  ---
  > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  > 5 -0.0755630122 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
  1786,1792c1782,1788
  < 1 0.0067652152 0.02482717 -0.007132244 -0.0016813137 -0.004858253
  < 5 -0.0056740947 -0.05095621 -0.002507805 0.0881209679 0.003676665
  < 10 0.0007496257 -0.06786146 -0.029800305 -0.0003243721 -0.124388072
  < d_y3_d_x4
  < 1 -0.007073870
  < 5 -0.003166506
  < 10 -0.034035059
  ---
  > 1 0.0067421558 0.02461029 -0.007100758 -0.001683054 -0.004915436
  > 5 -0.0055783709 -0.05095735 -0.002522731 0.088168991 0.003655392
  > 10 0.0006847522 -0.06785055 -0.029702141 -0.000182194 -0.124354974
  > d_y3_d_x4
  > 1 -0.006969484
  > 5 -0.003065135
  > 10 -0.033881256
  1797c1793
  < 1 0.1589283487 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  ---
  > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  1801,1803c1797,1799
  < 1 0.0122755018 0.03624679 -0.25929664 -0.0683931619 0.10609847 0.14925101
  < 5 -0.0689660516 0.01311081 -0.14267792 -0.0175189865 0.06322171 0.01111095
  < 10 0.0009141576 -0.01953567 -0.09175208 -0.0007818626 -0.02874143 -0.14045609
  ---
  > 1 0.012307140 0.03663825 -0.25915624 -0.0683888638 0.10552589 0.14901568
  > 5 -0.068977037 0.01307835 -0.14270346 -0.0175648413 0.06314878 0.01104703
  > 10 0.000936581 -0.01954074 -0.09169794 -0.0006430461 -0.02874204 -0.14039647
  1808,1818c1804,1814
  < 1 3.934286e-01 -0.044425020 -0.0589534852 -0.1634907455 0.0067652152
  < 5 5.540639e-02 0.111725783 0.2077087857 -0.3655508281 -0.0056740947
  < 10 3.910299e-05 0.001119961 0.0001153093 -0.0007031102 0.0007496257
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.0122755018 0.3041483610 -0.0146727944 -0.08688044 -0.2673697861
  < 5 -0.0689660516 0.8884786267 -0.1309429600 -0.08480726 -0.4882227548
  < 10 0.0009141576 0.0002010184 -0.0008269078 -0.00117105 -0.0001169866
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.088302701 0.0500342788
  < 5 -0.040929466 -0.0141029862
  < 10 -0.001410629 -0.0009810036
  ---
  > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
  > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
  > 10 3.956835e-05 0.001031063 0.0002019259 -0.0007135702 0.0006847522
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.012307140 0.3041791387 -0.0153415475 -0.086915250 -0.2673497162
  > 5 -0.068977037 0.8888133639 -0.1312317856 -0.084254369 -0.4883874931
  > 10 0.000936581 0.0002049371 -0.0007564279 -0.001119009 -0.0001167076
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.089085500 0.050521158
  > 5 -0.040612577 -0.013889723
  > 10 -0.001380156 -0.001070066
  1823,1829c1819,1825
  < 1 -0.0545844515 -0.36633542 -0.077033570 -0.065895948 0.02482717 0.03624679
  < 5 0.0922668020 -0.09090843 -0.049667231 0.064808166 -0.05095621 0.01311081
  < 10 -0.0001169125 -0.10893447 -0.005509167 0.002480571 -0.06786146 -0.01953567
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.0146727944 0.53412794 0.02804618 0.0499321586 0.78776994 0.08222368
  < 5 -0.1309429600 0.36791631 0.02667885 -0.0433949192 0.04116895 -0.03045622
  < 10 -0.0008269078 0.08991047 0.02951772 0.0004160018 0.15675641 0.03385855
  ---
  > 1 -0.0551360998 -0.3667550 -0.077701852 -0.065417875 0.02461029 0.03663825
  > 5 0.0922666787 -0.0907331 -0.049802098 0.064841504 -0.05095735 0.01307835
  > 10 -0.0001169437 -0.1089146 -0.005508186 0.002481104 -0.06785055 -0.01954074
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.0153415475 0.53571025 0.02858950 0.0502931362 0.78867418 0.08319167
  > 5 -0.1312317856 0.36770203 0.02688757 -0.0435083937 0.04107823 -0.03027008
  > 10 -0.0007564279 0.08985383 0.02939425 0.0002325527 0.15666266 0.03361876
  1834,1840c1830,1836
  < 1 -0.2432581367 0.03799573 0.47425474 0.034895237 -0.007132244 -0.25929664
  < 5 -0.0213238363 0.03549096 -0.08374910 0.005143587 -0.002507805 -0.14267792
  < 10 -0.0002194712 -0.03755846 -0.04793679 0.004946782 -0.029800305 -0.09175208
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.08688044 0.02804618 0.5420574 0.1174787233 -0.07872452 -0.18479475
  < 5 -0.08480726 0.02667885 0.4428440 0.0923533969 -0.09298806 0.03846137
  < 10 -0.00117105 0.02951772 0.1344002 0.0007734578 0.03941158 0.16918625
  ---
  > 1 -0.2431539207 0.03806791 0.47423595 0.034736249 -0.007100758 -0.25915624
  > 5 -0.0209438968 0.03541485 -0.08350722 0.004927934 -0.002522731 -0.14270346
  > 10 -0.0002206918 -0.03738140 -0.04781628 0.004964602 -0.029702141 -0.09169794
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.086915250 0.02858950 0.5430830 0.1173791359 -0.07875333 -0.18429040
  > 5 -0.084254369 0.02688757 0.4427421 0.0917414656 -0.09290091 0.03875653
  > 10 -0.001119009 0.02939425 0.1344230 0.0006774422 0.03900411 0.16897835
  1845,1855c1841,1851
  < 1 -4.944853e-01 -0.0186951558 0.1896566521 0.1447586659 -0.0016813137
  < 5 -2.595350e-01 -0.1448381970 -0.0711749077 0.1635483990 0.0881209679
  < 10 -2.332565e-05 -0.0004868155 -0.0002881854 0.0004110672 -0.0003243721
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.0683931619 -0.2673697861 0.0499321586 0.1174787233 3.486025e-01
  < 5 -0.0175189865 -0.4882227548 -0.0433949192 0.0923533969 6.542542e-01
  < 10 -0.0007818626 -0.0001169866 0.0004160018 0.0007734578 7.361778e-05
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0244780006 -0.186198829
  < 5 0.0435973898 -0.142957210
  < 10 0.0006209189 0.001044309
  ---
  > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
  > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
  > 10 -2.316957e-05 -0.0002466476 -0.000167342 0.0004091202 -0.000182194
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 -0.0683888638 -0.2673497162 0.0502931362 0.1173791359 3.484787e-01
  > 5 -0.0175648413 -0.4883874931 -0.0435083937 0.0917414656 6.538214e-01
  > 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006774422 7.263175e-05
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.0237422937 -0.1867641107
  > 5 0.0431861770 -0.1430103473
  > 10 0.0002043577 0.0007809695
  1860,1866c1856,1862
  < 1 -0.0198229985 -0.65413500 -0.147082517 -0.178230527 -0.004858253 0.10609847
  < 5 -0.0399537906 -0.08484975 -0.028633123 0.005741983 0.003676665 0.06322171
  < 10 -0.0001923054 -0.20179176 -0.009574259 0.004025100 -0.124388072 -0.02874143
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.088302701 0.78776994 -0.07872452 0.0244780006 1.4551324 0.13386282
  < 5 -0.040929466 0.04116895 -0.09298806 0.0435973898 0.2496839 -0.04520915
  < 10 -0.001410629 0.15675641 0.03941158 0.0006209189 0.3033983 0.05138708
  ---
  > 1 -0.0188374345 -0.65426181 -0.146882467 -0.178619507 -0.004915436 0.10552589
  > 5 -0.0399301204 -0.08451449 -0.028543080 0.005572462 0.003655392 0.06314878
  > 10 -0.0001923111 -0.20173639 -0.009577636 0.004025707 -0.124354974 -0.02874204
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.089085500 0.78867418 -0.07875333 0.0237422937 1.4556119 0.13436032
  > 5 -0.040612577 0.04107823 -0.09290091 0.0431861770 0.2495913 -0.04532905
  > 10 -0.001380156 0.15666266 0.03900411 0.0002043577 0.3032282 0.05086440
  1871,1877c1867,1873
  < 1 0.269608565 -0.05527524 -0.37529645 -0.03089988 -0.007073870 0.14925101
  < 5 0.081566935 0.05410384 -0.06049581 0.02351164 -0.003166506 0.01111095
  < 10 -0.000239452 -0.04416140 -0.09158989 0.00582476 -0.034035059 -0.14045609
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.0500342788 0.08222368 -0.18479475 -0.186198829 0.13386282 0.4416161
  < 5 -0.0141029862 -0.03045622 0.03846137 -0.142957210 -0.04520915 0.2294765
  < 10 -0.0009810036 0.03385855 0.16918625 0.001044309 0.05138708 0.2861057
  ---
  > 1 0.270328853 -0.05504100 -0.37513506 -0.031123121 -0.006969484 0.14901568
  > 5 0.081681433 0.05376516 -0.06042803 0.023442576 -0.003065135 0.01104703
  > 10 -0.000241325 -0.04389582 -0.09148118 0.005855566 -0.033881256 -0.14039647
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.050521158 0.08319167 -0.18429040 -0.1867641107 0.13436032 0.4426038
  > 5 -0.013889723 -0.03027008 0.03875653 -0.1430103473 -0.04532905 0.2294027
  > 10 -0.001070066 0.03361876 0.16897835 0.0007809695 0.05086440 0.2857090
  1881c1877
  < d_y1_d_x1 0.975097137 -0.003003742 -0.449004490 -0.22743347 0.006830750
  ---
  > d_y1_d_x1 0.975097136 -0.003003742 -0.449004490 -0.22743347 0.006830749
  1883c1879
  < d_y3_d_x1 -0.449004490 0.080929573 0.765216774 0.06636949 -0.008445285
  ---
  > d_y3_d_x1 -0.449004490 0.080929573 0.765216773 0.06636949 -0.008445285
  1885,1918c1881,1914
  < d_y2_d_x2 0.006830750 -0.005045259 -0.008445285 -0.05178103 0.120677689
  < d_y3_d_x2 0.158928349 -0.051814040 -0.389413931 -0.11092343 0.042316339
  < d_y1_d_x3 0.393428581 -0.044425020 -0.058953485 -0.16349075 0.006765215
  < d_y2_d_x3 -0.054584452 -0.366335424 -0.077033570 -0.06589595 0.024827168
  < d_y3_d_x3 -0.243258137 0.037995730 0.474254737 0.03489524 -0.007132244
  < d_y1_d_x4 -0.494485275 -0.018695156 0.189656652 0.14475867 -0.001681314
  < d_y2_d_x4 -0.019822998 -0.654135004 -0.147082517 -0.17823053 -0.004858253
  < d_y3_d_x4 0.269608565 -0.055275242 -0.375296447 -0.03089988 -0.007073870
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < d_y1_d_x1 0.15892835 0.393428581 -0.05458445 -0.243258137 -0.494485275
  < d_y2_d_x1 -0.05181404 -0.044425020 -0.36633542 0.037995730 -0.018695156
  < d_y3_d_x1 -0.38941393 -0.058953485 -0.07703357 0.474254737 0.189656652
  < d_y1_d_x2 -0.11092343 -0.163490745 -0.06589595 0.034895237 0.144758666
  < d_y2_d_x2 0.04231634 0.006765215 0.02482717 -0.007132244 -0.001681314
  < d_y3_d_x2 0.38993460 0.012275502 0.03624679 -0.259296642 -0.068393162
  < d_y1_d_x3 0.01227550 0.304148361 -0.01467279 -0.086880437 -0.267369786
  < d_y2_d_x3 0.03624679 -0.014672794 0.53412794 0.028046176 0.049932159
  < d_y3_d_x3 -0.25929664 -0.086880437 0.02804618 0.542057387 0.117478723
  < d_y1_d_x4 -0.06839316 -0.267369786 0.04993216 0.117478723 0.348602453
  < d_y2_d_x4 0.10609847 0.088302701 0.78776994 -0.078724520 0.024478001
  < d_y3_d_x4 0.14925101 0.050034279 0.08222368 -0.184794749 -0.186198829
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.019822998 0.26960856
  < d_y2_d_x1 -0.654135004 -0.05527524
  < d_y3_d_x1 -0.147082517 -0.37529645
  < d_y1_d_x2 -0.178230527 -0.03089988
  < d_y2_d_x2 -0.004858253 -0.00707387
  < d_y3_d_x2 0.106098465 0.14925101
  < d_y1_d_x3 0.088302701 0.05003428
  < d_y2_d_x3 0.787769943 0.08222368
  < d_y3_d_x3 -0.078724520 -0.18479475
  < d_y1_d_x4 0.024478001 -0.18619883
  < d_y2_d_x4 1.455132426 0.13386282
  < d_y3_d_x4 0.133862819 0.44161612
  ---
  > d_y2_d_x2 0.006830749 -0.005045259 -0.008445285 -0.05178103 0.120677689
  > d_y3_d_x2 0.158928348 -0.051814040 -0.389413930 -0.11092343 0.042316339
  > d_y1_d_x3 0.393491346 -0.044427031 -0.058994927 -0.16348604 0.006742156
  > d_y2_d_x3 -0.055136100 -0.366754971 -0.077701852 -0.06541787 0.024610287
  > d_y3_d_x3 -0.243153921 0.038067907 0.474235951 0.03473625 -0.007100758
  > d_y1_d_x4 -0.494385125 -0.018698658 0.189627098 0.14470653 -0.001683054
  > d_y2_d_x4 -0.018837435 -0.654261807 -0.146882467 -0.17861951 -0.004915436
  > d_y3_d_x4 0.270328853 -0.055040997 -0.375135057 -0.03112312 -0.006969484
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > d_y1_d_x1 0.15892835 0.393491346 -0.05513610 -0.243153921 -0.494385125
  > d_y2_d_x1 -0.05181404 -0.044427031 -0.36675497 0.038067907 -0.018698658
  > d_y3_d_x1 -0.38941393 -0.058994927 -0.07770185 0.474235951 0.189627098
  > d_y1_d_x2 -0.11092343 -0.163486039 -0.06541787 0.034736249 0.144706527
  > d_y2_d_x2 0.04231634 0.006742156 0.02461029 -0.007100758 -0.001683054
  > d_y3_d_x2 0.38993460 0.012307140 0.03663825 -0.259156241 -0.068388864
  > d_y1_d_x3 0.01230714 0.304179139 -0.01534155 -0.086915250 -0.267349716
  > d_y2_d_x3 0.03663825 -0.015341548 0.53571025 0.028589501 0.050293136
  > d_y3_d_x3 -0.25915624 -0.086915250 0.02858950 0.543083030 0.117379136
  > d_y1_d_x4 -0.06838886 -0.267349716 0.05029314 0.117379136 0.348478747
  > d_y2_d_x4 0.10552589 0.089085500 0.78867418 -0.078753327 0.023742294
  > d_y3_d_x4 0.14901568 0.050521158 0.08319167 -0.184290399 -0.186764111
  > d_y2_d_x4 d_y3_d_x4
  > d_y1_d_x1 -0.018837435 0.270328853
  > d_y2_d_x1 -0.654261807 -0.055040997
  > d_y3_d_x1 -0.146882467 -0.375135057
  > d_y1_d_x2 -0.178619507 -0.031123121
  > d_y2_d_x2 -0.004915436 -0.006969484
  > d_y3_d_x2 0.105525894 0.149015681
  > d_y1_d_x3 0.089085500 0.050521158
  > d_y2_d_x3 0.788674183 0.083191666
  > d_y3_d_x3 -0.078753327 -0.184290399
  > d_y1_d_x4 0.023742294 -0.186764111
  > d_y2_d_x4 1.455611865 0.134360316
  > d_y3_d_x4 0.134360316 0.442603753
  1923,1925c1919,1921
  < 1 0.2844103080 0.0365935254 0.0780064050 -0.22745182 0.019380781
  < 5 -0.1562244503 -0.0003601466 -0.0126554974 0.17568006 -0.017225469
  < 10 -0.0008151565 0.0002331714 0.0007906751 0.01741561 -0.004668669
  ---
  > 1 0.2844103081 0.0365935258 0.0780064050 -0.22745182 0.019380780
  > 5 -0.1562244504 -0.0003601467 -0.0126554978 0.17568006 -0.017225469
  > 10 -0.0008151563 0.0002331714 0.0007906753 0.01741561 -0.004668669
  1927,1933c1923,1929
  < 1 -0.02311634 0.278668755 -0.067612582 0.013977708 -0.233313369 -6.972201e-02
  < 5 -0.04385058 -0.365596442 0.050176530 0.087863050 0.241850984 -1.494360e-02
  < 10 -0.01341462 -0.004374279 0.001376677 0.004041212 0.001687539 -8.881784e-05
  < d_y3_d_x4
  < 1 -0.004485301
  < 5 -0.015187851
  < 10 -0.001243450
  ---
  > 1 -0.02311634 0.278693735 -0.067768013 0.013911094 -0.23325786 -6.892265e-02
  > 5 -0.04385058 -0.365474317 0.050365268 0.088007379 0.24198421 -1.525446e-02
  > 10 -0.01341462 -0.004107825 0.001389167 0.004463097 0.00204281 -3.885781e-05
  > d_y3_d_x4
  > 1 -0.0040412118
  > 5 -0.0153210777
  > 10 -0.0009769963
  1942,1944c1938,1940
  < 1 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000
  < 5 -0.3659073 0.05033196 0.08801848 0.2420286 -0.01503242 -0.01527667
  < 10 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000
  ---
  > 1 0.0000000 0.00000000 0.00000000 0.000000 0.00000000 0.00000000
  > 5 -0.3656297 0.05028755 0.08800738 0.242073 -0.01521006 -0.01532108
  > 10 0.0000000 0.00000000 0.00000000 0.000000 0.00000000 0.00000000
  1949c1945
  < 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2786688
  ---
  > 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2787715
  1953c1949
  < 1 -0.06761258 0.01397771 -0.2333134 -0.06972201 -0.004485301
  ---
  > 1 -0.06776801 0.01375566 -0.2333023 -0.06892265 -0.003952394
  1960,1970c1956,1966
  < 1 -0.303700069 -0.0390754340 -0.0832970882 0.24287844 -0.020695256
  < 5 0.097646416 0.0002251058 0.0079101827 -0.10980693 0.010766595
  < 10 -0.001022055 0.0002923537 0.0009913603 0.02183595 -0.005853647
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.02468417 -0.149770765 0.016177012 -0.172827926 0.249206211
  < 5 0.02740834 0.484626391 -0.074524474 -0.138962472 -0.151922919
  < 10 -0.01681944 -0.004709519 0.001474481 0.004407083 0.003108624
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0741184891 0.004574119
  < 5 0.0092814645 0.008926193
  < 10 -0.0000721645 -0.001154632
  ---
  > 1 -0.303700069 -0.0390754343 -0.0832970886 0.24287844 -0.020695256
  > 5 0.097646416 0.0002251057 0.0079101828 -0.10980693 0.010766595
  > 10 -0.001022055 0.0002923537 0.0009913604 0.02183595 -0.005853647
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
  > 5 0.02740834 0.484715209 -0.074546679 -0.138729325 -0.151567647
  > 10 -0.01681944 -0.004587394 0.001521665 0.004795661 0.003241851
  > d_y2_d_x4 d_y3_d_x4
  > 1 7.305268e-02 0.0038191672
  > 5 9.370282e-03 0.0091482377
  > 10 -1.665335e-05 -0.0006661338
  1975,1985c1971,1981
  < 1 0.1212908204 0.0156058291 0.033266941 -0.097000062 0.008265210
  < 5 -0.1283510527 -0.0002958895 -0.010397517 0.144335412 -0.014152119
  < 10 0.0003101437 -0.0000887149 -0.000300829 -0.006626134 0.001776293
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.009858291 0.118906274 -0.0281663581 0.006017409 0.0483027366
  < 5 -0.036026810 -0.299982261 0.0414279722 0.073407946 0.4558161031
  < 10 0.005103872 0.001165734 -0.0005440093 -0.002586820 -0.0002020132
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0855305198 -0.159671783
  < 5 -0.0553731270 -0.095541649
  < 10 -0.0002394261 -0.001210645
  ---
  > 1 0.1212908204 1.560583e-02 0.0332669405 -0.097000062 0.008265210
  > 5 -0.1283510529 -2.958896e-04 -0.0103975173 0.144335412 -0.014152120
  > 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626135 0.001776293
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
  > 5 -0.036026809 -0.30095926 0.0412836432 0.072242212 4.554608e-01
  > 10 0.005103872 0.00184297 -0.0005273559 -0.001398881 2.003137e-05
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.0845979325 -1.595830e-01
  > 5 -0.0554175360 -9.558606e-02
  > 10 -0.0002172217 -1.160433e-05
  1990c1986
  < 1 -0.0090414670 -0.1533759 -0.019587546 0.038823785 -0.14266410 -0.011727560
  ---
  > 1 -0.0090414667 -0.1533759 -0.019587546 0.038823785 -0.14266410 -0.011727560
  1992,1996c1988,1996
  < 10 0.0001596093 0.2197046 0.006612413 -0.003257077 0.13273560 0.012840269
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.042663095 0.35057512 0.030753178 0.0128896893 0.32795988 0.02922107
  < 5 0.046695980 -0.08004708 -0.002331468 -0.0523137089 -0.08233414 0.00985878
  < 10 0.001099121 -0.22647717 -0.018174351 -0.0009325873 -0.30221381 -0.01869616
  ---
  > 10 0.0001596092 0.2197046 0.006612413 -0.003257078 0.13273560 0.012840268
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  > 1 -0.0426436664 0.35113024 0.030886405 0.0128785871 0.32804870
  > 5 0.0463296068 -0.07983059 -0.002808864 -0.0527133892 -0.08200107
  > 10 0.0007993606 -0.22631341 -0.018218760 -0.0007105427 -0.30195846
  > d_y3_d_x4
  > 1 0.029398706
  > 5 0.009015011
  > 10 -0.018163249
  2005,2007c2005,2007
  < 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  < 5 0.04669598 -0.08004708 -0.002331468 -0.05231371 -0.08233414 0.00985878
  < 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  ---
  > 1 0.0000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  > 5 0.0462963 -0.07984724 -0.002808864 -0.05249134 -0.08189005 0.009015011
  > 10 0.0000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  2016,2018c2016,2018
  < 1 -0.0426631 0.3505751 0.03075318 0.01288969 0.3279599 0.02922107
  < 5 0.0000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
  < 10 0.0000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
  ---
  > 1 -0.04264367 0.3511302 0.0308864 0.01287859 0.3280487 0.02939871
  > 5 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
  > 10 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
  2023,2029c2023,2029
  < 1 0.0096546928 0.1637784 0.020916046 -0.041456958 0.15234011 0.012522967
  < 5 -0.0205975704 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
  < 10 0.0002001206 0.2754689 0.008290742 -0.004083773 0.16642588 0.016099320
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.029432752 -0.1174858 -0.006570394 -0.0137057032 -0.34994230 -0.03175238
  < 5 -0.070775066 0.4503837 0.038498185 0.0317079696 0.05060397 -0.00657252
  < 10 0.001904794 -0.1565463 -0.006716215 -0.0002664535 -0.37869152 -0.02273737
  ---
  > 1 0.0096546928 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
  > 5 -0.0205975703 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
  > 10 0.0002001207 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.029296749 -0.1191511 -0.006581496 -0.0137168055 -0.35020875 -0.031086245
  > 5 -0.071041520 0.4504392 0.038775741 0.0317079696 0.05082601 -0.006528111
  > 10 0.001849283 -0.1565991 -0.006183308 0.0002220446 -0.37872483 -0.022382096
  2034c2034
  < 1 -3.855862e-03 -0.06540932 -0.008353387 0.016556956 -0.06084113 -0.005001385
  ---
  > 1 -3.855862e-03 -0.06540932 -0.008353388 0.016556955 -0.06084113 -0.005001385
  2036c2036
  < 10 -6.072653e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205 -0.004885350
  ---
  > 10 -6.072676e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205 -0.004885350
  2038,2040c2038,2040
  < 1 -0.0182187598 0.14950263 0.012789769 -0.0107614851 0.3959702 0.03858238
  < 5 0.0387800903 -0.06571410 -0.002375877 -0.0844308097 0.3327944 0.04475984
  < 10 -0.0001665335 0.08608947 0.007838175 0.0002394596 0.2421167 0.02348185
  ---
  > 1 -0.0182381887 0.14911405 0.012800871 -0.0107503829 0.3958369 0.03862679
  > 5 0.0387800903 -0.06539214 -0.002231548 -0.0844308096 0.3331941 0.04462662
  > 10 -0.0006883383 0.08605894 0.006772360 -0.0004266743 0.2420390 0.02241604
  2045,2046c2045,2046
  < 1 -0.1036330470 -0.01581883 -0.1692854 0.058505811 -0.008350353 0.03177489
  < 5 0.0092022348 0.01949003 0.1833577 -0.062146477 0.007141051 0.02361125
  ---
  > 1 -0.1036330469 -0.01581883 -0.1692854 0.058505811 -0.008350353 0.03177489
  > 5 0.0092022346 0.01949003 0.1833577 -0.062146477 0.007141051 0.02361125
  2049,2051c2049,2051
  < 1 -0.07976397 0.03259615 -0.01486589 0.0833777491 0.02131628 -0.03352874
  < 5 0.11701751 -0.02671752 -0.10144108 -0.0392574862 -0.02000622 -0.14108714
  < 10 0.00104361 -0.01007527 -0.23103741 -0.0004440892 -0.01214584 -0.24735769
  ---
  > 1 -0.079640461 0.03338441 -0.01467715 0.0833833003 0.02056133 -0.0338396
  > 5 0.117450494 -0.02679523 -0.10076384 -0.0389466237 -0.01978417 -0.1405098
  > 10 0.001176836 -0.01007111 -0.23079316 -0.0002664535 -0.01217360 -0.2470912
  2057,2058c2057,2058
  < 5 -7.098635e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.02361125
  < 10 -5.949685e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.00000000
  ---
  > 5 -7.098636e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.02361125
  > 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.00000000
  2060,2062c2060,2062
  < 1 0.0000000 0.00000000 0.0000000 0.00000000 0.0000000 0.0000000
  < 5 0.1174283 -0.02651213 -0.1011857 -0.03903544 -0.0198952 -0.1407763
  < 10 0.0000000 0.00000000 0.0000000 0.00000000 0.0000000 0.0000000
  ---
  > 1 0.0000000 0.00000000 0.000000 0.00000000 0.00000000 0.0000000
  > 5 0.1173284 -0.02685629 -0.100886 -0.03907985 -0.01985079 -0.1406431
  > 10 0.0000000 0.00000000 0.000000 0.00000000 0.00000000 0.0000000
  2071,2073c2071,2073
  < 1 -0.0797834 0.03228529 -0.01517675 0.08338885 0.02149392 -0.0333511
  < 5 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
  < 10 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
  ---
  > 1 -0.07964046 0.03338441 -0.01467715 0.0833833 0.02056133 -0.0338396
  > 5 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
  > 10 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
  2078,2084c2078,2084
  < 1 0.1106618243 0.01689172 0.1807669 -0.062473892 0.008916705 -0.03392998
  < 5 -0.0057517580 -0.01218203 -0.1146057 0.038843988 -0.004463437 -0.01475796
  < 10 0.0002241388 0.01437723 0.1554218 -0.005842267 0.012104684 0.18917056
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 3.954792e-02 -0.006006638 0.4478559 -0.089112051 -0.02251532 0.03570477
  < 5 -1.429732e-01 0.050155070 0.4643641 0.025046631 0.01265654 0.08801848
  < 10 -7.079115e-06 -0.009170551 -0.1033937 -0.001421085 -0.01528222 -0.31032954
  ---
  > 1 0.1106618239 0.01689172 0.1807669 -0.062473892 0.008916705 -0.03392998
  > 5 -0.0057517577 -0.01218203 -0.1146057 0.038843988 -0.004463437 -0.01475796
  > 10 0.0002241385 0.01437723 0.1554218 -0.005842267 0.012104684 0.18917056
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.0396520083 -0.005284993 0.4483888 -0.0890953977 -0.02282619 0.03606004
  > 5 -0.1431397494 0.050005190 0.4643419 0.0254463117 0.01276756 0.08828493
  > 10 0.0003926011 -0.009184429 -0.1029607 -0.0008881784 -0.01529332 -0.31001868
  2089,2095c2089,2095
  < 1 -0.0441957868 -0.006746165 -0.07219415 0.02495064 -0.003561127 0.01355085
  < 5 0.0075603817 0.016012636 0.15064319 -0.05105837 0.005866952 0.01939856
  < 10 -0.0000680147 -0.004362780 -0.04716287 0.00177284 -0.003673175 -0.05740394
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -3.386874e-02 0.013999912 -0.005995204 -0.0097445896 0.038924088 0.4181463
  < 5 9.545698e-02 -0.022631896 -0.083544283 -0.1048259525 0.015527214 0.2840417
  < 10 -7.771561e-05 0.003891332 0.088484775 0.0005702369 0.008150316 0.2818537
  ---
  > 1 -4.419579e-02 -0.006746165 -0.07219415 0.02495064 -0.003561127 0.01355085
  > 5 7.560382e-03 0.016012636 0.15064319 -0.05105837 0.005866952 0.01939856
  > 10 -6.801493e-05 -0.004362780 -0.04716287 0.00177284 -0.003673175 -0.05740394
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.0338507000 0.015776269 -0.005373479 -0.009716834 0.041055716 0.4192121
  > 5 0.0949684775 -0.022731816 -0.083633100 -0.105358860 0.015305170 0.2836864
  > 10 -0.0002109424 0.003856637 0.088229424 0.000392601 0.008144765 0.2815428
  2104,2106c2104,2106
  < 1 0.18781782 0.457367477 -0.036348702 -0.002126077 9.629630e-01 0.019095836
  < 5 -0.13626877 -0.301680902 -0.032607250 0.512923037 1.147082e-01 -0.070032868
  < 10 -0.01115774 -0.001038059 0.008604228 0.007238654 6.661338e-05 -0.003241851
  ---
  > 1 0.18776647 0.457101024 -0.036581849 -0.002109424 9.633183e-01 0.018873791
  > 5 -0.13611334 -0.301597636 -0.033173464 0.512834220 1.146860e-01 -0.070166095
  > 10 -0.01127987 -0.001033895 0.009137135 0.007105427 3.885781e-05 -0.002531308
  2111,2113c2111,2113
  < 1 0.6779988895 -0.0439634710 -0.7518035116 -0.15287721 0.012866382
  < 5 0.1100880667 -0.0272114691 -0.1341660787 0.25360526 0.002158135
  < 10 -0.0008353512 0.0001322236 -0.0007461054 0.02054856 -0.003285345
  ---
  > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
  > 5 0.1100880665 -0.0272114692 -0.1341660789 0.25360526 0.002158135
  > 10 -0.0008353512 0.0001322236 -0.0007461053 0.02054856 -0.003285345
  2115,2117c2115,2117
  < 1 0.39436273 0.215595597 0.011479706 -0.516686693 -0.389105415 0.0892619312
  < 5 0.25411486 -0.444344561 0.016325830 -0.312128101 -0.034061642 0.0418554080
  < 10 0.01486094 -0.004285461 0.000928424 -0.003697043 0.001687539 0.0002498002
  ---
  > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903 0.0893507490
  > 5 0.25411486 -0.444211334 0.0164201985 -0.312128101 -0.033884007 0.0416999768
  > 10 0.01486094 -0.004884981 0.0008895662 -0.004019007 0.001776357 0.0002720046
  2119c2119
  < 1 0.451771953
  ---
  > 1 0.451949589
  2121c2121
  < 10 0.001554312
  ---
  > 10 0.001687539
  2126,2132c2126,2132
  < 1 -0.0295668557 -0.0324746 -0.083808061 0.09014664 -0.03836515 -0.1240072
  < 5 0.0509223601 0.1790779 0.041843223 -0.03551199 0.05245643 -0.1427688
  < 10 0.0004814613 0.1066395 -0.004474384 -0.01049811 0.08873839 0.1265591
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.10115103 0.17411628 0.2007838 0.036198822 0.005462297 0.1703970
  < 5 0.11025625 -0.19973467 0.2440270 -0.117461596 -0.321098703 0.2318146
  < 10 0.00308642 -0.08058137 -0.2488676 -0.001509903 -0.097927222 -0.2184919
  ---
  > 1 -0.0295668558 -0.0324746 -0.083808061 0.09014664 -0.03836515 -0.1240072
  > 5 0.0509223599 0.1790779 0.041843222 -0.03551199 0.05245643 -0.1427688
  > 10 0.0004814612 0.1066395 -0.004474384 -0.01049811 0.08873839 0.1265591
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.101010866 0.17555957 0.2012612 0.036270986 0.005906386 0.1701750
  > 5 0.110778053 -0.19941826 0.2445377 -0.116795462 -0.320721227 0.2324363
  > 10 0.002531308 -0.08062023 -0.2494227 -0.001598721 -0.097905017 -0.2189360
  2137,2138c2137,2138
  < d_y2_d_x1 0.036593525 -0.01904979 0.036593525 -0.039075434 0.015605829
  < d_y3_d_x1 0.078006405 -0.08015547 0.078006405 -0.083297088 0.033266941
  ---
  > d_y2_d_x1 0.036593526 -0.01904979 0.036593526 -0.039075434 0.015605829
  > d_y3_d_x1 0.078006405 -0.08015547 0.078006405 -0.083297089 0.033266940
  2140c2140
  < d_y2_d_x2 0.019380781 0.00000000 -0.055643316 -0.020695256 0.008265210
  ---
  > d_y2_d_x2 0.019380780 0.00000000 -0.055643316 -0.020695256 0.008265210
  2142,2147c2142,2147
  < d_y1_d_x3 0.278668755 0.00000000 0.278668755 -0.149770765 0.118906274
  < d_y2_d_x3 -0.067612582 0.00000000 -0.067612582 0.016177012 -0.028166358
  < d_y3_d_x3 0.013977708 0.00000000 0.013977708 -0.172827926 0.006017409
  < d_y1_d_x4 -0.233313369 0.00000000 -0.233313369 0.249206211 0.048302737
  < d_y2_d_x4 -0.069722006 0.00000000 -0.069722006 0.074118489 -0.085530520
  < d_y3_d_x4 -0.004485301 0.00000000 -0.004485301 0.004574119 -0.159671783
  ---
  > d_y1_d_x3 0.278693735 0.00000000 0.278771450 -0.149844318 0.118992316
  > d_y2_d_x3 -0.067768013 0.00000000 -0.067768013 0.016887554 -0.028643754
  > d_y3_d_x3 0.013911094 0.00000000 0.013755663 -0.173727207 0.006039613
  > d_y1_d_x4 -0.233257857 0.00000000 -0.233302266 0.249089638 0.048380452
  > d_y2_d_x4 -0.068922645 0.00000000 -0.068922645 0.073052675 -0.084597932
  > d_y3_d_x4 -0.004041212 0.00000000 -0.003952394 0.003819167 -0.159582965
  2151,2152c2151,2152
  < d_y3_d_x1 -0.019587546 0.006560333 -0.019587546 0.020916046 -0.008353387
  < d_y1_d_x2 0.038823785 0.000000000 -0.016223782 -0.041456958 0.016556956
  ---
  > d_y3_d_x1 -0.019587546 0.006560333 -0.019587546 0.020916046 -0.008353388
  > d_y1_d_x2 0.038823785 0.000000000 -0.016223782 -0.041456959 0.016556955
  2155,2160c2155,2160
  < d_y1_d_x3 -0.042663095 0.000000000 -0.042663095 0.029432752 -0.018218760
  < d_y2_d_x3 0.350575124 0.000000000 0.350575124 -0.117485790 0.149502632
  < d_y3_d_x3 0.030753178 0.000000000 0.030753178 -0.006570394 0.012789769
  < d_y1_d_x4 0.012889689 0.000000000 0.012889689 -0.013705703 -0.010761485
  < d_y2_d_x4 0.327959881 0.000000000 0.327959881 -0.349942297 0.395970154
  < d_y3_d_x4 0.029221070 0.000000000 0.029221070 -0.031752379 0.038582376
  ---
  > d_y1_d_x3 -0.042643666 0.000000000 -0.042643666 0.029296749 -0.018238189
  > d_y2_d_x3 0.351130236 0.000000000 0.351130236 -0.119151125 0.149114054
  > d_y3_d_x3 0.030886405 0.000000000 0.030886405 -0.006581496 0.012800871
  > d_y1_d_x4 0.012878587 0.000000000 0.012878587 -0.013716805 -0.010750383
  > d_y2_d_x4 0.328048699 0.000000000 0.328048699 -0.350208751 0.395836928
  > d_y3_d_x4 0.029398706 0.000000000 0.029398706 -0.031086245 0.038626785
  2163c2163
  < d_y2_d_x1 -0.015818829 0.0143567 -0.01581883 0.016891721 -0.006746165
  ---
  > d_y2_d_x1 -0.015818829 0.0143567 -0.01581883 0.016891720 -0.006746165
  2167,2173c2167,2173
  < d_y3_d_x2 0.031774889 0.0000000 0.43253479 -0.033929980 0.013550853
  < d_y1_d_x3 -0.079763973 0.0000000 -0.07978340 0.039547925 -0.033868741
  < d_y2_d_x3 0.032596148 0.0000000 0.03228529 -0.006006638 0.013999912
  < d_y3_d_x3 -0.014865886 0.0000000 -0.01517675 0.447855873 -0.005995204
  < d_y1_d_x4 0.083377749 0.0000000 0.08338885 -0.089112051 -0.009744590
  < d_y2_d_x4 0.021316282 0.0000000 0.02149392 -0.022515323 0.038924088
  < d_y3_d_x4 -0.033528735 0.0000000 -0.03335110 0.035704772 0.418146304
  ---
  > d_y3_d_x2 0.031774889 0.0000000 0.43253479 -0.033929980 0.013550854
  > d_y1_d_x3 -0.079640461 0.0000000 -0.07964046 0.039652008 -0.033850700
  > d_y2_d_x3 0.033384406 0.0000000 0.03338441 -0.005284993 0.015776269
  > d_y3_d_x3 -0.014677148 0.0000000 -0.01467715 0.448388779 -0.005373479
  > d_y1_d_x4 0.083383300 0.0000000 0.08338330 -0.089095398 -0.009716834
  > d_y2_d_x4 0.020561330 0.0000000 0.02056133 -0.022826185 0.041055716
  > d_y3_d_x4 -0.033839598 0.0000000 -0.03383960 0.036060044 0.419212118
  2179c2179
  < d_y2_d_x2 0.035356899 0.01286638 -0.038365154
  ---
  > d_y2_d_x2 0.035356899 0.01286638 -0.038365155
  2181,2186c2181,2186
  < d_y1_d_x3 0.187817817 0.21559560 -0.101151032
  < d_y2_d_x3 0.457367477 0.01147971 0.174116277
  < d_y3_d_x3 -0.036348702 -0.51668669 0.200783834
  < d_y1_d_x4 -0.002126077 -0.38910541 0.036198822
  < d_y2_d_x4 0.962963043 0.08926193 0.005462297
  < d_y3_d_x4 0.019095836 0.45177195 0.170397030
  ---
  > d_y1_d_x3 0.187766469 0.21562058 -0.101010866
  > d_y2_d_x3 0.457101024 0.01159073 0.175559567
  > d_y3_d_x3 -0.036581849 -0.51673110 0.201261230
  > d_y1_d_x4 -0.002109424 -0.38904990 0.036270986
  > d_y2_d_x4 0.963318314 0.08935075 0.005906386
  > d_y3_d_x4 0.018873791 0.45194959 0.170174985
  2192c2192
  < 1: d_y1_d_x2 -0.2293360 0.4933078 -0.465 0.642
  ---
  > 1: d_y1_d_x2 -0.2293360 0.4933079 -0.465 0.642
  2195,2200c2195,2200
  < 1: d_y1_d_x3 0.1765116 0.5514965 0.320 0.749
  < 1: d_y2_d_x3 -0.3517929 0.7308406 -0.481 0.630
  < 1: d_y3_d_x3 0.2229842 0.7362455 0.303 0.762
  < 1: d_y1_d_x4 -0.1468375 0.5904257 -0.249 0.804
  < 1: d_y2_d_x4 -0.3287218 1.2062887 -0.273 0.785
  < 1: d_y3_d_x4 0.6037347 0.6645420 0.908 0.364
  ---
  > 1: d_y1_d_x3 0.1765116 0.5515244 0.320 0.749
  > 1: d_y2_d_x3 -0.3517929 0.7319223 -0.481 0.631
  > 1: d_y3_d_x3 0.2229842 0.7369417 0.303 0.762
  > 1: d_y1_d_x4 -0.1468375 0.5903209 -0.249 0.804
  > 1: d_y2_d_x4 -0.3287218 1.2064874 -0.272 0.785
  > 1: d_y3_d_x4 0.6037347 0.6652847 0.907 0.364
  2207,2212c2207,2212
  < 2: d_y1_d_x3 0.3298530 0.9425914 0.350 0.726
  < 2: d_y2_d_x3 -0.5053126 0.6065611 -0.833 0.405
  < 2: d_y3_d_x3 0.2791236 0.6654652 0.419 0.675
  < 2: d_y1_d_x4 -0.2238688 0.8088598 -0.277 0.782
  < 2: d_y2_d_x4 -0.5675504 0.4996838 -1.136 0.256
  < 2: d_y3_d_x4 0.4883268 0.4790371 1.019 0.308
  ---
  > 2: d_y1_d_x3 0.3298530 0.9427690 0.350 0.726
  > 2: d_y2_d_x3 -0.5053126 0.6063844 -0.833 0.405
  > 2: d_y3_d_x3 0.2791236 0.6653886 0.419 0.675
  > 2: d_y1_d_x4 -0.2238688 0.8085922 -0.277 0.782
  > 2: d_y2_d_x4 -0.5675504 0.4995911 -1.136 0.256
  > 2: d_y3_d_x4 0.4883268 0.4789600 1.020 0.308
  2219,2224c2219,2224
  < 3: d_y1_d_x3 0.0011362 0.0141781 0.080 0.936
  < 3: d_y2_d_x3 -0.1491872 0.2998508 -0.498 0.619
  < 3: d_y3_d_x3 0.1853440 0.3666063 0.506 0.613
  < 3: d_y1_d_x4 -0.0006208 0.0085801 -0.072 0.942
  < 3: d_y2_d_x4 -0.1992018 0.5508161 -0.362 0.718
  < 3: d_y3_d_x4 0.1994459 0.5348884 0.373 0.709
  ---
  > 3: d_y1_d_x3 0.0011362 0.0143156 0.079 0.937
  > 3: d_y2_d_x3 -0.1491872 0.2997563 -0.498 0.619
  > 3: d_y3_d_x3 0.1853440 0.3666375 0.506 0.613
  > 3: d_y1_d_x4 -0.0006208 0.0085224 -0.073 0.942
  > 3: d_y2_d_x4 -0.1992018 0.5506616 -0.362 0.718
  > 3: d_y3_d_x4 0.1994459 0.5345175 0.373 0.709
  2250,2251c2250,2251
  < 1 0.176511553 -0.3517929 0.2229842 -0.1468374651 -0.3287218 0.6037347
  < 2 0.329853049 -0.5053126 0.2791236 -0.2238687968 -0.5675504 0.4883268
  ---
  > 1 0.176511552 -0.3517929 0.2229842 -0.1468374650 -0.3287218 0.6037347
  > 2 0.329853048 -0.5053126 0.2791236 -0.2238687970 -0.5675504 0.4883268
  2261,2263c2261,2263
  < 1 9.750971e-01 -0.0030037424 -4.490045e-01 -0.2274334727 0.0068307497
  < 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927902 -0.0755630123
  < 10 7.727995e-06 0.0001515647 5.378415e-05 -0.0001392449 0.0001042601
  ---
  > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
  > 5 2.912560e-01 0.0387204653 -5.823824e-02 0.0274927901 -0.0755630122
  > 10 7.727996e-06 0.0001515647 5.378418e-05 -0.0001392449 0.0001042601
  2266,2274c2266,2274
  < 1 0.1589283487 3.934286e-01 -0.0545844515 -0.2432581367 -4.944853e-01
  < 5 0.0074691017 5.540639e-02 0.0922668020 -0.0213238363 -2.595350e-01
  < 10 0.0002038302 3.910299e-05 -0.0001169125 -0.0002194712 -2.332565e-05
  < mean 0.0252988980 -5.398643e-02 -0.0001407298 -0.0383490510 -5.105689e-02
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0198229985 0.269608565
  < 5 -0.0399537906 0.081566935
  < 10 -0.0001923054 -0.000239452
  < mean -0.0380279444 0.058379517
  ---
  > 1 0.1589283485 3.934913e-01 -0.0551360998 -0.2431539207 -4.943851e-01
  > 5 0.0074691017 5.559145e-02 0.0922666787 -0.0209438968 -2.593822e-01
  > 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002206918 -2.316957e-05
  > mean 0.0252988980 -5.399636e-02 -0.0001482806 -0.0383790235 -5.100716e-02
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.0188374345 0.270328853
  > 5 -0.0399301204 0.081681433
  > 10 -0.0001923111 -0.000241325
  > mean -0.0379985139 0.058420857
  2279c2279
  < 1 -0.0030037424 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
  ---
  > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
  2284,2292c2284,2292
  < 1 -0.044425020 -0.36633542 0.03799573 -0.0186951558 -0.65413500
  < 5 0.111725783 -0.09090843 0.03549096 -0.1448381970 -0.08484975
  < 10 0.001119961 -0.10893447 -0.03755846 -0.0004868155 -0.20179176
  < mean 0.005496937 -0.02052404 0.01835492 -0.0417439997 -0.13147660
  < d_y3_d_x4
  < 1 -0.0552752423
  < 5 0.0541038449
  < 10 -0.0441614036
  < mean 0.0000317336
  ---
  > 1 -0.044427031 -0.36675497 0.03806791 -0.0186986576 -0.65426181
  > 5 0.111593955 -0.09073310 0.03541485 -0.1448499710 -0.08451449
  > 10 0.001031063 -0.10891460 -0.03738140 -0.0002466476 -0.20173639
  > mean 0.005435604 -0.02050368 0.01837385 -0.0417118839 -0.13140706
  > d_y3_d_x4
  > 1 -5.504100e-02
  > 5 5.376516e-02
  > 10 -4.389582e-02
  > mean -2.400034e-05
  2299c2299
  < 10 5.378415e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
  ---
  > 10 5.378418e-05 0.01979479 0.1390371 -0.001494665 0.005243041 0.05039549
  2302,2310c2302,2310
  < 1 -0.0589534852 -0.077033570 0.47425474 0.1896566521 -0.147082517
  < 5 0.2077087857 -0.049667231 -0.08374910 -0.0711749077 -0.028633123
  < 10 0.0001153093 -0.005509167 -0.04793679 -0.0002881854 -0.009574259
  < mean 0.0408532581 -0.007330939 0.08701954 0.0277307543 -0.021156231
  < d_y3_d_x4
  < 1 -0.37529645
  < 5 -0.06049581
  < 10 -0.09158989
  < mean -0.08593253
  ---
  > 1 -0.0589949274 -0.077701852 0.47423595 0.189627098 -0.146882467
  > 5 0.2076679660 -0.049802098 -0.08350722 -0.071267404 -0.028543080
  > 10 0.0002019259 -0.005508186 -0.04781628 -0.000167342 -0.009577636
  > mean 0.0408929985 -0.007395746 0.08712130 0.027720262 -0.021115011
  > d_y3_d_x4
  > 1 -0.37513506
  > 5 -0.06042803
  > 10 -0.09148118
  > mean -0.08589753
  2315,2316c2315,2316
  < 1 -0.2274334727 0.089143004 0.066369491 0.243352635 -0.051781028
  < 5 0.0274927902 -0.032248624 -0.104236832 0.380620095 -0.066218734
  ---
  > 1 -0.2274334729 0.089143004 0.066369491 0.243352635 -0.051781028
  > 5 0.0274927901 -0.032248624 -0.104236832 0.380620095 -0.066218734
  2320,2328c2320,2328
  < 1 -0.110923427 -0.1634907455 -0.065895948 0.034895237 0.1447586659
  < 5 -0.072756702 -0.3655508281 0.064808166 0.005143587 0.1635483990
  < 10 -0.006398513 -0.0007031102 0.002480571 0.004946782 0.0004110672
  < mean -0.039419377 0.0138913782 -0.012338688 -0.013060512 -0.0272746901
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.178230527 -0.030899876
  < 5 0.005741983 0.023511638
  < 10 0.004025100 0.005824760
  < mean -0.031316182 0.009377012
  ---
  > 1 -0.110923427 -0.1634860393 -0.065417875 0.034736249 0.1447065273
  > 5 -0.072756702 -0.3656135275 0.064841504 0.004927934 0.1635478254
  > 10 -0.006398513 -0.0007135702 0.002481104 0.004964602 0.0004091202
  > mean -0.039419377 0.0138966627 -0.012348059 -0.013100110 -0.0272599289
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.178619507 -0.031123121
  > 5 0.005572462 0.023442576
  > 10 0.004025707 0.005855566
  > mean -0.031269333 0.009408115
  2333,2334c2333,2334
  < 1 0.0068307497 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  < 5 -0.0755630123 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
  ---
  > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  > 5 -0.0755630122 -0.049598653 0.007911417 -0.066218734 0.1807104 0.04028227
  2338,2346c2338,2346
  < 1 0.0067652152 0.02482717 -0.007132244 -0.0016813137 -0.004858253
  < 5 -0.0056740947 -0.05095621 -0.002507805 0.0881209679 0.003676665
  < 10 0.0007496257 -0.06786146 -0.029800305 -0.0003243721 -0.124388072
  < mean -0.0096692845 0.04219827 0.004176153 0.0194314210 0.015364291
  < d_y3_d_x4
  < 1 -0.007073870
  < 5 -0.003166506
  < 10 -0.034035059
  < mean -0.001174398
  ---
  > 1 0.0067421558 0.02461029 -0.007100758 -0.001683054 -0.004915436
  > 5 -0.0055783709 -0.05095735 -0.002522731 0.088168991 0.003655392
  > 10 0.0006847522 -0.06785055 -0.029702141 -0.000182194 -0.124354974
  > mean -0.0096692049 0.04220950 0.004248509 0.019465517 0.015358627
  > d_y3_d_x4
  > 1 -0.006969484
  > 5 -0.003065135
  > 10 -0.033881256
  > mean -0.001091776
  2351c2351
  < 1 0.1589283487 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  ---
  > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  2355,2364c2355,2359
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 0.0122755018 0.03624679 -0.25929664 -0.0683931619 0.10609847
  < 5 -0.0689660516 0.01311081 -0.14267792 -0.0175189865 0.06322171
  < 10 0.0009141576 -0.01953567 -0.09175208 -0.0007818626 -0.02874143
  < mean -0.0334476019 0.01523310 -0.06549887 -0.0097769890 0.02944344
  < d_y3_d_x4
  < 1 0.14925101
  < 5 0.01111095
  < 10 -0.14045609
  < mean 0.02454733
  ---
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.012307140 0.03663825 -0.25915624 -0.0683888638 0.10552589 0.14901568
  > 5 -0.068977037 0.01307835 -0.14270346 -0.0175648413 0.06314878 0.01104703
  > 10 0.000936581 -0.01954074 -0.09169794 -0.0006430461 -0.02874204 -0.14039647
  > mean -0.033447591 0.01539275 -0.06542044 -0.0097387319 0.02924573 0.02451390
  2369,2382c2364,2377
  < 1 3.934286e-01 -0.044425020 -0.0589534852 -0.1634907455 0.0067652152
  < 5 5.540639e-02 0.111725783 0.2077087857 -0.3655508281 -0.0056740947
  < 10 3.910299e-05 0.001119961 0.0001153093 -0.0007031102 0.0007496257
  < mean -5.398643e-02 0.005496937 0.0408532581 0.0138913782 -0.0096692845
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.0122755018 0.3041483610 -0.0146727944 -0.086880437 -0.2673697861
  < 5 -0.0689660516 0.8884786267 -0.1309429600 -0.084807263 -0.4882227548
  < 10 0.0009141576 0.0002010184 -0.0008269078 -0.001171050 -0.0001169866
  < mean -0.0334476019 0.0510479210 -0.0100354163 -0.007668509 -0.0121701363
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.088302701 0.0500342788
  < 5 -0.040929466 -0.0141029862
  < 10 -0.001410629 -0.0009810036
  < mean 0.009443088 -0.0040337275
  ---
  > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
  > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
  > 10 3.956835e-05 0.001031063 0.0002019259 -0.0007135702 0.0006847522
  > mean -5.399636e-02 0.005435604 0.0408929985 0.0138966627 -0.0096692049
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.012307140 0.3041791387 -0.0153415475 -0.086915250 -0.2673497162
  > 5 -0.068977037 0.8888133639 -0.1312317856 -0.084254369 -0.4883874931
  > 10 0.000936581 0.0002049371 -0.0007564279 -0.001119009 -0.0001167076
  > mean -0.033447591 0.0510464313 -0.0100229728 -0.007649437 -0.0121552766
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.089085500 0.050521158
  > 5 -0.040612577 -0.013889723
  > 10 -0.001380156 -0.001070066
  > mean 0.009411025 -0.004199630
  2387,2390c2382,2385
  < 1 -0.0545844515 -0.36633542 -0.077033570 -0.065895948 0.02482717
  < 5 0.0922668020 -0.09090843 -0.049667231 0.064808166 -0.05095621
  < 10 -0.0001169125 -0.10893447 -0.005509167 0.002480571 -0.06786146
  < mean -0.0001407298 -0.02052404 -0.007330939 -0.012338688 0.04219827
  ---
  > 1 -0.0551360998 -0.36675497 -0.077701852 -0.065417875 0.02461029
  > 5 0.0922666787 -0.09073310 -0.049802098 0.064841504 -0.05095735
  > 10 -0.0001169437 -0.10891460 -0.005508186 0.002481104 -0.06785055
  > mean -0.0001482806 -0.02050368 -0.007395746 -0.012348059 0.04220950
  2392,2400c2387,2395
  < 1 0.03624679 -0.0146727944 0.53412794 0.028046176 0.0499321586 0.78776994
  < 5 0.01311081 -0.1309429600 0.36791631 0.026678850 -0.0433949192 0.04116895
  < 10 -0.01953567 -0.0008269078 0.08991047 0.029517722 0.0004160018 0.15675641
  < mean 0.01523310 -0.0100354163 0.02677747 0.001899146 0.0112226982 0.04196367
  < d_y3_d_x4
  < 1 0.0822236830
  < 5 -0.0304562181
  < 10 0.0338585491
  < mean -0.0003278372
  ---
  > 1 0.03663825 -0.0153415475 0.53571025 0.028589501 0.0502931362 0.78867418
  > 5 0.01307835 -0.1312317856 0.36770203 0.026887572 -0.0435083937 0.04107823
  > 10 -0.01954074 -0.0007564279 0.08985383 0.029394250 0.0002325527 0.15666266
  > mean 0.01539275 -0.0100229728 0.02671574 0.001916145 0.0111372431 0.04201681
  > d_y3_d_x4
  > 1 8.319167e-02
  > 5 -3.027008e-02
  > 10 3.361876e-02
  > mean -9.363888e-05
  2405,2408c2400,2403
  < 1 -0.2432581367 0.03799573 0.47425474 0.034895237 -0.007132244
  < 5 -0.0213238363 0.03549096 -0.08374910 0.005143587 -0.002507805
  < 10 -0.0002194712 -0.03755846 -0.04793679 0.004946782 -0.029800305
  < mean -0.0383490510 0.01835492 0.08701954 -0.013060512 0.004176153
  ---
  > 1 -0.2431539207 0.03806791 0.47423595 0.034736249 -0.007100758
  > 5 -0.0209438968 0.03541485 -0.08350722 0.004927934 -0.002522731
  > 10 -0.0002206918 -0.03738140 -0.04781628 0.004964602 -0.029702141
  > mean -0.0383790235 0.01837385 0.08712130 -0.013100110 0.004248509
  2410,2418c2405,2413
  < 1 -0.25929664 -0.086880437 0.028046176 0.5420574 0.1174787233 -0.07872452
  < 5 -0.14267792 -0.084807263 0.026678850 0.4428440 0.0923533969 -0.09298806
  < 10 -0.09175208 -0.001171050 0.029517722 0.1344002 0.0007734578 0.03941158
  < mean -0.06549887 -0.007668509 0.001899146 0.1824442 0.0293194432 -0.03419992
  < d_y3_d_x4
  < 1 -0.18479475
  < 5 0.03846137
  < 10 0.16918625
  < mean -0.05560452
  ---
  > 1 -0.25915624 -0.086915250 0.028589501 0.5430830 0.1173791359 -0.07875333
  > 5 -0.14270346 -0.084254369 0.026887572 0.4427421 0.0917414656 -0.09290091
  > 10 -0.09169794 -0.001119009 0.029394250 0.1344230 0.0006774422 0.03900411
  > mean -0.06542044 -0.007649437 0.001916145 0.1826420 0.0293832680 -0.03434150
  > d_y3_d_x4
  > 1 -0.18429040
  > 5 0.03875653
  > 10 0.16897835
  > mean -0.05563589
  2423,2436c2418,2431
  < 1 -4.944853e-01 -0.0186951558 0.1896566521 0.1447586659 -0.0016813137
  < 5 -2.595350e-01 -0.1448381970 -0.0711749077 0.1635483990 0.0881209679
  < 10 -2.332565e-05 -0.0004868155 -0.0002881854 0.0004110672 -0.0003243721
  < mean -5.105689e-02 -0.0417439997 0.0277307543 -0.0272746901 0.0194314210
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.0683931619 -0.2673697861 0.0499321586 0.1174787233 3.486025e-01
  < 5 -0.0175189865 -0.4882227548 -0.0433949192 0.0923533969 6.542542e-01
  < 10 -0.0007818626 -0.0001169866 0.0004160018 0.0007734578 7.361778e-05
  < mean -0.0097769890 -0.0121701363 0.0112226982 0.0293194432 9.683524e-02
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0244780006 -0.186198829
  < 5 0.0435973898 -0.142957210
  < 10 0.0006209189 0.001044309
  < mean 0.0432648258 -0.062997985
  ---
  > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
  > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
  > 10 -2.316957e-05 -0.0002466476 -0.000167342 0.0004091202 -0.000182194
  > mean -5.100716e-02 -0.0417118839 0.027720262 -0.0272599289 0.019465517
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 -0.0683888638 -0.2673497162 0.0502931362 0.1173791359 3.484787e-01
  > 5 -0.0175648413 -0.4883874931 -0.0435083937 0.0917414656 6.538214e-01
  > 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006774422 7.263175e-05
  > mean -0.0097387319 -0.0121552766 0.0111372431 0.0293832680 9.680299e-02
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.0237422937 -0.1867641107
  > 5 0.0431861770 -0.1430103473
  > 10 0.0002043577 0.0007809695
  > mean 0.0430877156 -0.0630216808
  2441,2444c2436,2439
  < 1 -0.0198229985 -0.65413500 -0.147082517 -0.178230527 -0.004858253
  < 5 -0.0399537906 -0.08484975 -0.028633123 0.005741983 0.003676665
  < 10 -0.0001923054 -0.20179176 -0.009574259 0.004025100 -0.124388072
  < mean -0.0380279444 -0.13147660 -0.021156231 -0.031316182 0.015364291
  ---
  > 1 -0.0188374345 -0.65426181 -0.146882467 -0.178619507 -0.004915436
  > 5 -0.0399301204 -0.08451449 -0.028543080 0.005572462 0.003655392
  > 10 -0.0001923111 -0.20173639 -0.009577636 0.004025707 -0.124354974
  > mean -0.0379985139 -0.13140706 -0.021115011 -0.031269333 0.015358627
  2446,2454c2441,2449
  < 1 0.10609847 0.088302701 0.78776994 -0.07872452 0.0244780006 1.4551324
  < 5 0.06322171 -0.040929466 0.04116895 -0.09298806 0.0435973898 0.2496839
  < 10 -0.02874143 -0.001410629 0.15675641 0.03941158 0.0006209189 0.3033983
  < mean 0.02944344 0.009443088 0.04196367 -0.03419992 0.0432648258 0.3238163
  < d_y3_d_x4
  < 1 0.13386282
  < 5 -0.04520915
  < 10 0.05138708
  < mean 0.02371622
  ---
  > 1 0.10552589 0.089085500 0.78867418 -0.07875333 0.0237422937 1.4556119
  > 5 0.06314878 -0.040612577 0.04107823 -0.09290091 0.0431861770 0.2495913
  > 10 -0.02874204 -0.001380156 0.15666266 0.03900411 0.0002043577 0.3032282
  > mean 0.02924573 0.009411025 0.04201681 -0.03434150 0.0430877156 0.3238106
  > d_y3_d_x4
  > 1 0.13436032
  > 5 -0.04532905
  > 10 0.05086440
  > mean 0.02377482
  2459,2472c2454,2467
  < 1 0.269608565 -0.0552752423 -0.37529645 -0.030899876 -0.007073870
  < 5 0.081566935 0.0541038449 -0.06049581 0.023511638 -0.003166506
  < 10 -0.000239452 -0.0441614036 -0.09158989 0.005824760 -0.034035059
  < mean 0.058379517 0.0000317336 -0.08593253 0.009377012 -0.001174398
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.14925101 0.0500342788 0.0822236830 -0.18479475 -0.186198829
  < 5 0.01111095 -0.0141029862 -0.0304562181 0.03846137 -0.142957210
  < 10 -0.14045609 -0.0009810036 0.0338585491 0.16918625 0.001044309
  < mean 0.02454733 -0.0040337275 -0.0003278372 -0.05560452 -0.062997985
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.13386282 0.4416161
  < 5 -0.04520915 0.2294765
  < 10 0.05138708 0.2861057
  < mean 0.02371622 0.1908066
  ---
  > 1 0.270328853 -5.504100e-02 -0.37513506 -0.031123121 -0.006969484
  > 5 0.081681433 5.376516e-02 -0.06042803 0.023442576 -0.003065135
  > 10 -0.000241325 -4.389582e-02 -0.09148118 0.005855566 -0.033881256
  > mean 0.058420857 -2.400034e-05 -0.08589753 0.009408115 -0.001091776
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.14901568 0.050521158 8.319167e-02 -0.18429040 -0.1867641107
  > 5 0.01104703 -0.013889723 -3.027008e-02 0.03875653 -0.1430103473
  > 10 -0.14039647 -0.001070066 3.361876e-02 0.16897835 0.0007809695
  > mean 0.02451390 -0.004199630 -9.363888e-05 -0.05563589 -0.0630216808
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.13436032 0.4426038
  > 5 -0.04532905 0.2294027
  > 10 0.05086440 0.2857090
  > mean 0.02377482 0.1907257
  2476,2513c2471,2508
  < d_y1_d_x1 0.1626490561 0.0104253263 -0.105871709 0.052385189 -0.016219245
  < d_y2_d_x1 0.0104253263 0.1517178036 0.023939392 0.014984015 -0.020431173
  < d_y3_d_x1 -0.1058717094 0.0239393920 0.209509037 -0.015516234 -0.004223757
  < d_y1_d_x2 0.0523851888 0.0149840150 -0.015516234 0.058997209 -0.024817479
  < d_y2_d_x2 -0.0162192448 -0.0204311730 -0.004223757 -0.024817479 0.110703946
  < d_y3_d_x2 0.0252988980 -0.0170868753 -0.081037045 -0.039419377 0.026558814
  < d_y1_d_x3 -0.0539864310 0.0054969371 0.040853258 0.013891378 -0.009669284
  < d_y2_d_x3 -0.0001407298 -0.0205240410 -0.007330939 -0.012338688 0.042198267
  < d_y3_d_x3 -0.0383490510 0.0183549215 0.087019539 -0.013060512 0.004176153
  < d_y1_d_x4 -0.0510568912 -0.0417439997 0.027730754 -0.027274690 0.019431421
  < d_y2_d_x4 -0.0380279444 -0.1314765982 -0.021156231 -0.031316182 0.015364291
  < d_y3_d_x4 0.0583795170 0.0000317336 -0.085932530 0.009377012 -0.001174398
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < d_y1_d_x1 0.025298898 -0.053986431 -0.0001407298 -0.038349051 -0.051056891
  < d_y2_d_x1 -0.017086875 0.005496937 -0.0205240410 0.018354921 -0.041744000
  < d_y3_d_x1 -0.081037045 0.040853258 -0.0073309387 0.087019539 0.027730754
  < d_y1_d_x2 -0.039419377 0.013891378 -0.0123386882 -0.013060512 -0.027274690
  < d_y2_d_x2 0.026558814 -0.009669284 0.0421982671 0.004176153 0.019431421
  < d_y3_d_x2 0.229423945 -0.033447602 0.0152330975 -0.065498874 -0.009776989
  < d_y1_d_x3 -0.033447602 0.051047921 -0.0100354163 -0.007668509 -0.012170136
  < d_y2_d_x3 0.015233097 -0.010035416 0.0267774715 0.001899146 0.011222698
  < d_y3_d_x3 -0.065498874 -0.007668509 0.0018991463 0.182444151 0.029319443
  < d_y1_d_x4 -0.009776989 -0.012170136 0.0112226982 0.029319443 0.096835243
  < d_y2_d_x4 0.029443439 0.009443088 0.0419636683 -0.034199922 0.043264826
  < d_y3_d_x4 0.024547332 -0.004033727 -0.0003278372 -0.055604523 -0.062997985
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.038027944 0.0583795170
  < d_y2_d_x1 -0.131476598 0.0000317336
  < d_y3_d_x1 -0.021156231 -0.0859325299
  < d_y1_d_x2 -0.031316182 0.0093770123
  < d_y2_d_x2 0.015364291 -0.0011743977
  < d_y3_d_x2 0.029443439 0.0245473325
  < d_y1_d_x3 0.009443088 -0.0040337275
  < d_y2_d_x3 0.041963668 -0.0003278372
  < d_y3_d_x3 -0.034199922 -0.0556045235
  < d_y1_d_x4 0.043264826 -0.0629979848
  < d_y2_d_x4 0.323816275 0.0237162220
  < d_y3_d_x4 0.023716222 0.1908065893
  ---
  > d_y1_d_x1 0.1626490560 1.042533e-02 -0.105871709 0.052385189 -0.016219245
  > d_y2_d_x1 0.0104253263 1.517178e-01 0.023939392 0.014984015 -0.020431173
  > d_y3_d_x1 -0.1058717093 2.393939e-02 0.209509037 -0.015516234 -0.004223757
  > d_y1_d_x2 0.0523851888 1.498401e-02 -0.015516234 0.058997209 -0.024817479
  > d_y2_d_x2 -0.0162192448 -2.043117e-02 -0.004223757 -0.024817479 0.110703946
  > d_y3_d_x2 0.0252988980 -1.708688e-02 -0.081037045 -0.039419377 0.026558814
  > d_y1_d_x3 -0.0539963555 5.435604e-03 0.040892998 0.013896663 -0.009669205
  > d_y2_d_x3 -0.0001482806 -2.050368e-02 -0.007395746 -0.012348059 0.042209499
  > d_y3_d_x3 -0.0383790235 1.837385e-02 0.087121303 -0.013100110 0.004248509
  > d_y1_d_x4 -0.0510071578 -4.171188e-02 0.027720262 -0.027259929 0.019465517
  > d_y2_d_x4 -0.0379985139 -1.314071e-01 -0.021115011 -0.031269333 0.015358627
  > d_y3_d_x4 0.0584208567 -2.400034e-05 -0.085897525 0.009408115 -0.001091776
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > d_y1_d_x1 0.025298898 -0.053996355 -1.482806e-04 -0.038379023 -0.051007158
  > d_y2_d_x1 -0.017086875 0.005435604 -2.050368e-02 0.018373848 -0.041711884
  > d_y3_d_x1 -0.081037045 0.040892998 -7.395746e-03 0.087121303 0.027720262
  > d_y1_d_x2 -0.039419377 0.013896663 -1.234806e-02 -0.013100110 -0.027259929
  > d_y2_d_x2 0.026558814 -0.009669205 4.220950e-02 0.004248509 0.019465517
  > d_y3_d_x2 0.229423945 -0.033447591 1.539275e-02 -0.065420443 -0.009738732
  > d_y1_d_x3 -0.033447591 0.051046431 -1.002297e-02 -0.007649437 -0.012155277
  > d_y2_d_x3 0.015392751 -0.010022973 2.671574e-02 0.001916145 0.011137243
  > d_y3_d_x3 -0.065420443 -0.007649437 1.916145e-03 0.182641990 0.029383268
  > d_y1_d_x4 -0.009738732 -0.012155277 1.113724e-02 0.029383268 0.096802988
  > d_y2_d_x4 0.029245729 0.009411025 4.201681e-02 -0.034341495 0.043087716
  > d_y3_d_x4 0.024513901 -0.004199630 -9.363888e-05 -0.055635892 -0.063021681
  > d_y2_d_x4 d_y3_d_x4
  > d_y1_d_x1 -0.037998514 5.842086e-02
  > d_y2_d_x1 -0.131407058 -2.400034e-05
  > d_y3_d_x1 -0.021115011 -8.589753e-02
  > d_y1_d_x2 -0.031269333 9.408115e-03
  > d_y2_d_x2 0.015358627 -1.091776e-03
  > d_y3_d_x2 0.029245729 2.451390e-02
  > d_y1_d_x3 0.009411025 -4.199630e-03
  > d_y2_d_x3 0.042016814 -9.363888e-05
  > d_y3_d_x3 -0.034341495 -5.563589e-02
  > d_y1_d_x4 0.043087716 -6.302168e-02
  > d_y2_d_x4 0.323810632 2.377482e-02
  > d_y3_d_x4 0.023774823 1.907257e-01
  2521,2534c2516,2529
  < 1 0.2844103080 0.0365935254 0.0780064050 -0.22745182 0.0193807806
  < 5 -0.1562244503 -0.0003601466 -0.0126554974 0.17568006 -0.0172254690
  < 10 -0.0008151565 0.0002331714 0.0007906751 0.01741561 -0.0046686689
  < mean 0.0424569004 0.0121555167 0.0220471942 -0.01145205 -0.0008377857
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.02311634 0.278668755 -0.067612582 0.013977708 -0.233313369
  < 5 -0.04385058 -0.365596442 0.050176530 0.087863050 0.241850984
  < 10 -0.01341462 -0.004374279 0.001376677 0.004041212 0.001687539
  < mean -0.02679385 -0.030433989 -0.005353125 0.035293990 0.003408385
  < d_y2_d_x4 d_y3_d_x4
  < 1 -6.972201e-02 -0.004485301
  < 5 -1.494360e-02 -0.015187851
  < 10 -8.881784e-05 -0.001243450
  < mean -2.825148e-02 -0.006972201
  ---
  > 1 0.2844103081 0.0365935258 0.0780064050 -0.22745182 0.019380780
  > 5 -0.1562244504 -0.0003601467 -0.0126554978 0.17568006 -0.017225469
  > 10 -0.0008151563 0.0002331714 0.0007906753 0.01741561 -0.004668669
  > mean 0.0424569005 0.0121555168 0.0220471942 -0.01145205 -0.000837786
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 -0.02311634 0.278693735 -0.067768013 0.013911094 -0.233257857
  > 5 -0.04385058 -0.365474317 0.050365268 0.088007379 0.241984210
  > 10 -0.01341462 -0.004107825 0.001389167 0.004463097 0.002042810
  > mean -0.02679385 -0.030296136 -0.005337860 0.035460523 0.003589721
  > d_y2_d_x4 d_y3_d_x4
  > 1 -6.892265e-02 -0.0040412118
  > 5 -1.525446e-02 -0.0153210777
  > 10 -3.885781e-05 -0.0009769963
  > mean -2.807199e-02 -0.0067797619
  2545c2540
  < 5 -0.04385058 -0.3659073 0.05033196 0.08801848 0.24202862 -0.015032420
  ---
  > 5 -0.04385058 -0.3656297 0.05028755 0.08800738 0.24207303 -0.015210055
  2547c2542
  < mean -0.01461686 -0.1219691 0.01677732 0.02933949 0.08067621 -0.005010807
  ---
  > mean -0.01461686 -0.1218766 0.01676252 0.02933579 0.08069101 -0.005070018
  2550c2545
  < 5 -0.015276669
  ---
  > 5 -0.015321078
  2552c2547
  < mean -0.005092223
  ---
  > mean -0.005107026
  2560c2555
  < mean 0.09480344 0.01219784 0.02600214 0.199251 -0.040290313 -0.09995937
  ---
  > mean 0.09480344 0.01219784 0.02600214 0.199251 -0.040290314 -0.09995937
  2562c2557
  < 1 0.27866875 -0.06761258 0.013977708 -0.23331337 -0.06972201 -0.004485301
  ---
  > 1 0.27877145 -0.06776801 0.013755663 -0.23330227 -0.06892265 -0.003952394
  2565c2560
  < mean 0.09288958 -0.02253753 0.004659236 -0.07777112 -0.02324067 -0.001495100
  ---
  > mean 0.09292382 -0.02258934 0.004585221 -0.07776742 -0.02297422 -0.001317465
  2570,2583c2565,2578
  < 1 -0.303700069 -0.0390754340 -0.0832970882 0.24287844 -0.020695256
  < 5 0.097646416 0.0002251058 0.0079101827 -0.10980693 0.010766595
  < 10 -0.001022055 0.0002923537 0.0009913603 0.02183595 -0.005853647
  < mean -0.069025236 -0.0128526582 -0.0247985150 0.05163582 -0.005260769
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.02468417 -0.149770765 0.016177012 -0.172827926 0.249206211
  < 5 0.02740834 0.484626391 -0.074524474 -0.138962472 -0.151922919
  < 10 -0.01681944 -0.004709519 0.001474481 0.004407083 0.003108624
  < mean 0.01175769 0.110048702 -0.018957661 -0.102461105 0.033463972
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0741184891 0.004574119
  < 5 0.0092814645 0.008926193
  < 10 -0.0000721645 -0.001154632
  < mean 0.0277759297 0.004115227
  ---
  > 1 -0.303700069 -0.0390754343 -0.0832970886 0.24287844 -0.020695256
  > 5 0.097646416 0.0002251057 0.0079101828 -0.10980693 0.010766595
  > 10 -0.001022055 0.0002923537 0.0009913604 0.02183595 -0.005853647
  > mean -0.069025236 -0.0128526583 -0.0247985151 0.05163582 -0.005260770
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
  > 5 0.02740834 0.484715209 -0.074546679 -0.138729325 -0.151567647
  > 10 -0.01681944 -0.004587394 0.001521665 0.004795661 0.003241851
  > mean 0.01175769 0.110094499 -0.018712486 -0.102553623 0.033587947
  > d_y2_d_x4 d_y3_d_x4
  > 1 7.305268e-02 0.0038191672
  > 5 9.370282e-03 0.0091482377
  > 10 -1.665335e-05 -0.0006661338
  > mean 2.746877e-02 0.0041004237
  2588,2601c2583,2596
  < 1 0.1212908204 0.0156058291 0.033266941 -0.097000062 0.008265210
  < 5 -0.1283510527 -0.0002958895 -0.010397517 0.144335412 -0.014152119
  < 10 0.0003101437 -0.0000887149 -0.000300829 -0.006626134 0.001776293
  < mean -0.0022500295 0.0050737415 0.007522865 0.013569738 -0.001370206
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.009858291 0.118906274 -0.0281663581 0.006017409 0.0483027366
  < 5 -0.036026810 -0.299982261 0.0414279722 0.073407946 0.4558161031
  < 10 0.005103872 0.001165734 -0.0005440093 -0.002586820 -0.0002020132
  < mean -0.013593743 -0.059970084 0.0042392016 0.025612845 0.1679722755
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0855305198 -0.159671783
  < 5 -0.0553731270 -0.095541649
  < 10 -0.0002394261 -0.001210645
  < mean -0.0470476910 -0.085474693
  ---
  > 1 0.1212908204 1.560583e-02 0.0332669405 -0.097000062 0.008265210
  > 5 -0.1283510529 -2.958896e-04 -0.0103975173 0.144335412 -0.014152120
  > 10 0.0003101437 -8.871495e-05 -0.0003008287 -0.006626135 0.001776293
  > mean -0.0022500296 5.073742e-03 0.0075228648 0.013569738 -0.001370206
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
  > 5 -0.036026809 -0.30095926 0.0412836432 0.072242212 4.554608e-01
  > 10 0.005103872 0.00184297 -0.0005273559 -0.001398881 2.003137e-05
  > mean -0.013593743 -0.06004132 0.0040375111 0.025627648 1.679538e-01
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.0845979325 -1.595830e-01
  > 5 -0.0554175360 -9.558606e-02
  > 10 -0.0002172217 -1.160433e-05
  > mean -0.0467442301 -8.506021e-02
  2606c2601
  < 1 -0.0090414670 -0.15337587 -0.019587546 0.038823785 -0.14266410
  ---
  > 1 -0.0090414667 -0.15337587 -0.019587546 0.038823785 -0.14266410
  2608,2609c2603,2604
  < 10 0.0001596093 0.21970457 0.006612413 -0.003257077 0.13273560
  < mean 0.0080240614 0.06916869 -0.001320640 0.006892933 -0.01930617
  ---
  > 10 0.0001596092 0.21970457 0.006612413 -0.003257078 0.13273560
  > mean 0.0080240615 0.06916869 -0.001320640 0.006892933 -0.01930617
  2611,2619c2606,2614
  < 1 -0.011727560 -0.042663095 0.35057512 0.030753178 0.0128896893
  < 5 -0.004653031 0.046695980 -0.08004708 -0.002331468 -0.0523137089
  < 10 0.012840269 0.001099121 -0.22647717 -0.018174351 -0.0009325873
  < mean -0.001180107 0.001710669 0.01468362 0.003415786 -0.0134522023
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.32795988 0.029221070
  < 5 -0.08233414 0.009858780
  < 10 -0.30221381 -0.018696156
  < mean -0.01886269 0.006794565
  ---
  > 1 -0.011727560 -0.0426436664 0.35113024 0.030886405 0.0128785871
  > 5 -0.004653031 0.0463296068 -0.07983059 -0.002808864 -0.0527133892
  > 10 0.012840268 0.0007993606 -0.22631341 -0.018218760 -0.0007105427
  > mean -0.001180108 0.0014951003 0.01499541 0.003286260 -0.0135151150
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.32804870 0.029398706
  > 5 -0.08200107 0.009015011
  > 10 -0.30195846 -0.018163249
  > mean -0.01863694 0.006750156
  2629,2632c2624,2627
  < 1 0.00000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.00000000
  < 5 0.04669598 -0.08004708 -0.0023314684 -0.05231371 -0.08233414 0.00985878
  < 10 0.00000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.00000000
  < mean 0.01556533 -0.02668236 -0.0007771561 -0.01743790 -0.02744471 0.00328626
  ---
  > 1 0.0000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
  > 5 0.0462963 -0.07984724 -0.0028088643 -0.05249134 -0.08189005 0.009015011
  > 10 0.0000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
  > mean 0.0154321 -0.02661575 -0.0009362881 -0.01749711 -0.02729668 0.003005004
  2642c2637
  < 1 -0.04266310 0.3505751 0.03075318 0.012889689 0.3279599 0.029221070
  ---
  > 1 -0.04264367 0.3511302 0.03088640 0.012878587 0.3280487 0.029398706
  2645c2640
  < mean -0.01422103 0.1168584 0.01025106 0.004296563 0.1093200 0.009740357
  ---
  > mean -0.01421456 0.1170434 0.01029547 0.004292862 0.1093496 0.009799569
  2650,2652c2645,2647
  < 1 0.0096546928 0.1637784 0.020916046 -0.041456958 0.15234011 0.012522967
  < 5 -0.0205975704 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
  < 10 0.0002001206 0.2754689 0.008290742 -0.004083773 0.16642588 0.016099320
  ---
  > 1 0.0096546928 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
  > 5 -0.0205975703 -0.0882414 -0.005633612 0.009305528 0.02999564 0.002908327
  > 10 0.0002001207 0.2754689 0.008290742 -0.004083772 0.16642588 0.016099320
  2655,2663c2650,2658
  < 1 0.029432752 -0.11748579 -0.006570394 -0.0137057032 -0.34994230
  < 5 -0.070775066 0.45038366 0.038498185 0.0317079696 0.05060397
  < 10 0.001904794 -0.15654633 -0.006716215 -0.0002664535 -0.37869152
  < mean -0.013145840 0.05878385 0.008403858 0.0059119376 -0.22600995
  < d_y3_d_x4
  < 1 -0.03175238
  < 5 -0.00657252
  < 10 -0.02273737
  < mean -0.02035409
  ---
  > 1 0.029296749 -0.11915112 -0.006581496 -0.0137168055 -0.35020875
  > 5 -0.071041520 0.45043917 0.038775741 0.0317079696 0.05082601
  > 10 0.001849283 -0.15659907 -0.006183308 0.0002220446 -0.37872483
  > mean -0.013298496 0.05822966 0.008670312 0.0060710696 -0.22603586
  > d_y3_d_x4
  > 1 -0.031086245
  > 5 -0.006528111
  > 10 -0.022382096
  > mean -0.019998817
  2668c2663
  < 1 -3.855862e-03 -0.06540932 -0.008353387 0.016556956 -0.06084113
  ---
  > 1 -3.855862e-03 -0.06540932 -0.008353388 0.016556955 -0.06084113
  2670,2671c2665,2666
  < 10 -6.072653e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205
  < mean 7.719276e-03 -0.01100396 -0.001154711 0.001854852 -0.05025696
  ---
  > 10 -6.072676e-05 -0.08359122 -0.002515831 0.001239224 -0.05050205
  > mean 7.719276e-03 -0.01100396 -0.001154711 0.001854851 -0.05025696
  2673,2681c2668,2676
  < 1 -0.005001385 -0.0182187598 0.14950263 0.012789769 -0.0107614851
  < 5 -0.003822842 0.0387800903 -0.06571410 -0.002375877 -0.0844308097
  < 10 -0.004885350 -0.0001665335 0.08608947 0.007838175 0.0002394596
  < mean -0.004569859 0.0067982657 0.05662600 0.006084022 -0.0316509451
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.3959702 0.03858238
  < 5 0.3327944 0.04475984
  < 10 0.2421167 0.02348185
  < mean 0.3236271 0.03560802
  ---
  > 1 -0.005001385 -0.0182381887 0.14911405 0.012800871 -0.0107503829
  > 5 -0.003822842 0.0387800903 -0.06539214 -0.002231548 -0.0844308096
  > 10 -0.004885350 -0.0006883383 0.08605894 0.006772360 -0.0004266743
  > mean -0.004569859 0.0066178544 0.05659362 0.005780561 -0.0318692889
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.3958369 0.03862679
  > 5 0.3331941 0.04462662
  > 10 0.2420390 0.02241604
  > mean 0.3236900 0.03522315
  2686,2687c2681,2682
  < 1 -0.1036330470 -0.015818829 -0.16928537 0.058505811 -0.008350353
  < 5 0.0092022348 0.019490025 0.18335766 -0.062146477 0.007141051
  ---
  > 1 -0.1036330469 -0.015818829 -0.16928537 0.058505811 -0.008350353
  > 5 0.0092022346 0.019490025 0.18335766 -0.062146477 0.007141051
  2690,2699c2685,2694
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 0.03177489 -0.07976397 0.032596148 -0.01486589 0.0833777491 0.021316282
  < 5 0.02361125 0.11701751 -0.026717517 -0.10144108 -0.0392574862 -0.020006219
  < 10 0.15087598 0.00104361 -0.010075274 -0.23103741 -0.0004440892 -0.012145840
  < mean 0.06875404 0.01276571 -0.001398881 -0.11578146 0.0145587246 -0.003611926
  < d_y3_d_x4
  < 1 -0.03352874
  < 5 -0.14108714
  < 10 -0.24735769
  < mean -0.14065786
  ---
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.03177489 -0.079640461 0.033384406 -0.01467715 0.0833833003
  > 5 0.02361125 0.117450494 -0.026795233 -0.10076384 -0.0389466237
  > 10 0.15087598 0.001176836 -0.010071111 -0.23079316 -0.0002664535
  > mean 0.06875404 0.012995623 -0.001160646 -0.11541138 0.0147234077
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.020561330 -0.0338396
  > 5 -0.019784174 -0.1405098
  > 10 -0.012173595 -0.2470912
  > mean -0.003798813 -0.1404802
  2705,2706c2700,2701
  < 5 -7.098635e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.023611252
  < 10 -5.949685e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.000000000
  ---
  > 5 -7.098636e-02 0.03269126 0.4007928 -0.06214648 0.007141051 0.023611252
  > 10 -5.949463e-06 0.01493196 0.3108666 0.00000000 0.000000000 0.000000000
  2710c2705
  < 5 0.11742829 -0.026512126 -0.10118573 -0.03903544 -0.019895197 -0.14077628
  ---
  > 5 0.11732837 -0.026856295 -0.10088597 -0.03907985 -0.019850788 -0.14064305
  2712c2707
  < mean 0.03914276 -0.008837375 -0.03372858 -0.01301181 -0.006631732 -0.04692543
  ---
  > mean 0.03910946 -0.008952098 -0.03362866 -0.01302662 -0.006616929 -0.04688102
  2722c2717
  < 1 -0.07978340 0.03228529 -0.015176749 0.08338885 0.021493918 -0.03335110
  ---
  > 1 -0.07964046 0.03338441 -0.014677148 0.08338330 0.020561330 -0.03383960
  2725c2720
  < mean -0.02659447 0.01076176 -0.005058916 0.02779628 0.007164639 -0.01111703
  ---
  > mean -0.02654682 0.01112814 -0.004892383 0.02779443 0.006853777 -0.01127987
  2730,2743c2725,2738
  < 1 0.1106618243 0.016891721 0.18076693 -0.062473892 0.008916705
  < 5 -0.0057517580 -0.012182031 -0.11460574 0.038843988 -0.004463437
  < 10 0.0002241388 0.014377230 0.15542185 -0.005842267 0.012104684
  < mean 0.0350447351 0.006362307 0.07386101 -0.009824057 0.005519317
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.03392998 3.954792e-02 -0.006006638 0.4478559 -0.089112051
  < 5 -0.01475796 -1.429732e-01 0.050155070 0.4643641 0.025046631
  < 10 0.18917056 -7.079115e-06 -0.009170551 -0.1033937 -0.001421085
  < mean 0.04682754 -3.447746e-02 0.011659294 0.2696088 -0.021828835
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.022515323 0.03570477
  < 5 0.012656542 0.08801848
  < 10 -0.015282220 -0.31032954
  < mean -0.008380333 -0.06220210
  ---
  > 1 0.1106618239 0.016891720 0.18076693 -0.062473892 0.008916705
  > 5 -0.0057517577 -0.012182031 -0.11460574 0.038843988 -0.004463437
  > 10 0.0002241385 0.014377230 0.15542185 -0.005842267 0.012104684
  > mean 0.0350447349 0.006362306 0.07386101 -0.009824057 0.005519317
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 -0.03392998 0.0396520083 -0.005284993 0.4483888 -0.0890953977
  > 5 -0.01475796 -0.1431397494 0.050005190 0.4643419 0.0254463117
  > 10 0.18917056 0.0003926011 -0.009184429 -0.1029607 -0.0008881784
  > mean 0.04682754 -0.0343650467 0.011845256 0.2699233 -0.0215124215
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.022826185 0.03606004
  > 5 0.012767565 0.08828493
  > 10 -0.015293322 -0.31001868
  > mean -0.008450648 -0.06189123
  2748,2761c2743,2756
  < 1 -0.0441957868 -0.006746165 -0.07219415 0.024950635 -0.0035611267
  < 5 0.0075603817 0.016012636 0.15064319 -0.051058369 0.0058669523
  < 10 -0.0000680147 -0.004362780 -0.04716287 0.001772840 -0.0036731748
  < mean -0.0122344733 0.001634564 0.01042872 -0.008111631 -0.0004557831
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.013550853 -3.386874e-02 0.013999912 -0.0059952043 -0.0097445896
  < 5 0.019398558 9.545698e-02 -0.022631896 -0.0835442826 -0.1048259525
  < 10 -0.057403936 -7.771561e-05 0.003891332 0.0884847751 0.0005702369
  < mean -0.008151508 2.050351e-02 -0.001580217 -0.0003515706 -0.0380001017
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.038924088 0.4181463
  < 5 0.015527214 0.2840417
  < 10 0.008150316 0.2818537
  < mean 0.020867206 0.3280139
  ---
  > 1 -4.419579e-02 -0.006746165 -0.07219415 0.024950635 -0.0035611268
  > 5 7.560382e-03 0.016012636 0.15064319 -0.051058369 0.0058669520
  > 10 -6.801493e-05 -0.004362780 -0.04716287 0.001772840 -0.0036731747
  > mean -1.223447e-02 0.001634564 0.01042872 -0.008111631 -0.0004557832
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.013550854 -0.0338507000 0.015776269 -0.005373479 -0.009716834
  > 5 0.019398558 0.0949684775 -0.022731816 -0.083633100 -0.105358860
  > 10 -0.057403936 -0.0002109424 0.003856637 0.088229424 0.000392601
  > mean -0.008151508 0.0203022784 -0.001032970 -0.000259052 -0.038227698
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.041055716 0.4192121
  > 5 0.015305170 0.2836864
  > 10 0.008144765 0.2815428
  > mean 0.021501883 0.3281471
  2771,2779c2766,2774
  < 1 0.04842374 0.18781782 0.457367477 -0.036348702 -0.002126077
  < 5 0.03805750 -0.13626877 -0.301680902 -0.032607250 0.512923037
  < 10 -0.02126043 -0.01115774 -0.001038059 0.008604228 0.007238654
  < mean 0.02174027 0.01346377 0.051549505 -0.020117241 0.172678538
  < d_y2_d_x4 d_y3_d_x4
  < 1 9.629630e-01 0.019095836
  < 5 1.147082e-01 -0.070032868
  < 10 6.661338e-05 -0.003241851
  < mean 3.592460e-01 -0.018059628
  ---
  > 1 0.04842374 0.18776647 0.457101024 -0.036581849 -0.002109424
  > 5 0.03805750 -0.13611334 -0.301597636 -0.033173464 0.512834220
  > 10 -0.02126043 -0.01127987 -0.001033895 0.009137135 0.007105427
  > mean 0.02174027 0.01345775 0.051489831 -0.020206059 0.172610074
  > d_y2_d_x4 d_y3_d_x4
  > 1 9.633183e-01 0.018873791
  > 5 1.146860e-01 -0.070166095
  > 10 3.885781e-05 -0.002531308
  > mean 3.593477e-01 -0.017941204
  2784,2797c2779,2792
  < 1 0.6779988895 -0.0439634710 -0.7518035116 -0.15287721 0.012866382
  < 5 0.1100880667 -0.0272114691 -0.1341660787 0.25360526 0.002158135
  < 10 -0.0008353512 0.0001322236 -0.0007461054 0.02054856 -0.003285345
  < mean 0.2624172017 -0.0236809055 -0.2955718985 0.04042553 0.003913057
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 0.39436273 0.215595597 0.011479706 -0.516686693 -0.389105415 0.0892619312
  < 5 0.25411486 -0.444344561 0.016325830 -0.312128101 -0.034061642 0.0418554080
  < 10 0.01486094 -0.004285461 0.000928424 -0.003697043 0.001687539 0.0002498002
  < mean 0.22111284 -0.077678142 0.009577987 -0.277503946 -0.140493173 0.0437890465
  < d_y3_d_x4
  < 1 0.451771953
  < 5 0.175415238
  < 10 0.001554312
  < mean 0.209580501
  ---
  > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
  > 5 0.1100880665 -0.0272114692 -0.1341660789 0.25360526 0.002158135
  > 10 -0.0008353512 0.0001322236 -0.0007461053 0.02054856 -0.003285345
  > mean 0.2624172016 -0.0236809056 -0.2955718985 0.04042553 0.003913057
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903
  > 5 0.25411486 -0.444211334 0.0164201985 -0.312128101 -0.033884007
  > 10 0.01486094 -0.004884981 0.0008895662 -0.004019007 0.001776357
  > mean 0.22111284 -0.077825246 0.0096334977 -0.277626070 -0.140385851
  > d_y2_d_x4 d_y3_d_x4
  > 1 0.0893507490 0.451949589
  > 5 0.0416999768 0.175415238
  > 10 0.0002720046 0.001687539
  > mean 0.0437742435 0.209684122
  2802,2810c2797,2805
  < 1 -0.0295668557 -0.03247460 -0.083808061 0.09014664 -0.03836515 -0.12400722
  < 5 0.0509223601 0.17907793 0.041843223 -0.03551199 0.05245643 -0.14276885
  < 10 0.0004814613 0.10663947 -0.004474384 -0.01049811 0.08873839 0.12655913
  < mean 0.0072789886 0.08441427 -0.015479741 0.01471218 0.03427656 -0.04673898
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.101151032 0.17411628 0.20078383 0.036198822 0.005462297 0.1703970
  < 5 0.110256249 -0.19973467 0.24402702 -0.117461596 -0.321098703 0.2318146
  < 10 0.003086420 -0.08058137 -0.24886759 -0.001509903 -0.097927222 -0.2184919
  < mean 0.004063879 -0.03539992 0.06531442 -0.027590893 -0.137854543 0.0612399
  ---
  > 1 -0.0295668558 -0.03247460 -0.083808061 0.09014664 -0.03836515 -0.12400722
  > 5 0.0509223599 0.17907793 0.041843222 -0.03551199 0.05245643 -0.14276885
  > 10 0.0004814612 0.10663947 -0.004474384 -0.01049811 0.08873839 0.12655913
  > mean 0.0072789884 0.08441427 -0.015479741 0.01471218 0.03427656 -0.04673898
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.101010866 0.17555957 0.20126123 0.036270986 0.005906386 0.1701750
  > 5 0.110778053 -0.19941826 0.24453772 -0.116795462 -0.320721227 0.2324363
  > 10 0.002531308 -0.08062023 -0.24942270 -0.001598721 -0.097905017 -0.2189360
  > mean 0.004099499 -0.03482631 0.06545875 -0.027374399 -0.137573286 0.0612251
  2814,2825c2809,2820
  < d_y1_d_x1 0.0424569004 0.229417496 0.094803436 -0.069025236 -0.002250030
  < d_y2_d_x1 0.0121555167 -0.020716702 0.012197842 -0.012852658 0.005073742
  < d_y3_d_x1 0.0220471942 -0.054605274 0.026002135 -0.024798515 0.007522865
  < d_y1_d_x2 -0.0114520499 0.058560019 0.199251002 0.051635820 0.013569738
  < d_y2_d_x2 -0.0008377857 -0.005741823 -0.040290313 -0.005260769 -0.001370206
  < d_y3_d_x2 -0.0267938455 -0.014616861 -0.099959367 0.011757688 -0.013593743
  < d_y1_d_x3 -0.0304339887 -0.121969101 0.092889585 0.110048702 -0.059970084
  < d_y2_d_x3 -0.0053531254 0.016777320 -0.022537527 -0.018957661 0.004239202
  < d_y3_d_x3 0.0352939900 0.029339494 0.004659236 -0.102461105 0.025612845
  < d_y1_d_x4 0.0034083847 0.080676206 -0.077771123 0.033463972 0.167972275
  < d_y2_d_x4 -0.0282514752 -0.005010807 -0.023240669 0.027775930 -0.047047691
  < d_y3_d_x4 -0.0069722006 -0.005092223 -0.001495100 0.004115227 -0.085474693
  ---
  > d_y1_d_x1 0.042456900 0.229417496 0.094803436 -0.069025236 -0.002250030
  > d_y2_d_x1 0.012155517 -0.020716702 0.012197842 -0.012852658 0.005073742
  > d_y3_d_x1 0.022047194 -0.054605274 0.026002135 -0.024798515 0.007522865
  > d_y1_d_x2 -0.011452050 0.058560019 0.199251001 0.051635820 0.013569738
  > d_y2_d_x2 -0.000837786 -0.005741823 -0.040290314 -0.005260770 -0.001370206
  > d_y3_d_x2 -0.026793845 -0.014616861 -0.099959367 0.011757689 -0.013593743
  > d_y1_d_x3 -0.030296136 -0.121876583 0.092923817 0.110094499 -0.060041324
  > d_y2_d_x3 -0.005337860 0.016762517 -0.022589338 -0.018712486 0.004037511
  > d_y3_d_x3 0.035460523 0.029335793 0.004585221 -0.102553623 0.025627648
  > d_y1_d_x4 0.003589721 0.080691009 -0.077767422 0.033587947 0.167953772
  > d_y2_d_x4 -0.028071989 -0.005070018 -0.022974215 0.027468768 -0.046744230
  > d_y3_d_x4 -0.006779762 -0.005107026 -0.001317465 0.004100424 -0.085060209
  2827,2838c2822,2833
  < d_y1_d_x1 0.008024061 -0.0221918694 -0.003013822 -0.003580919 0.007719276
  < d_y2_d_x1 0.069168691 0.2834124318 -0.051125291 0.117001952 -0.011003959
  < d_y3_d_x1 -0.001320640 0.0221051352 -0.006529182 0.007857725 -0.001154711
  < d_y1_d_x2 0.006892933 -0.0049626362 -0.025279579 -0.012078401 0.001854852
  < d_y2_d_x2 -0.019306168 -0.0159966694 0.289551399 0.116253877 -0.050256955
  < d_y3_d_x2 -0.001180107 -0.0015510103 0.029159259 0.010510205 -0.004569859
  < d_y1_d_x3 0.001710669 0.0155653268 -0.014221032 -0.013145840 0.006798266
  < d_y2_d_x3 0.014683625 -0.0266823600 0.116858375 0.058783847 0.056626000
  < d_y3_d_x3 0.003415786 -0.0007771561 0.010251059 0.008403858 0.006084022
  < d_y1_d_x4 -0.013452202 -0.0174379030 0.004296563 0.005911938 -0.031650945
  < d_y2_d_x4 -0.018862689 -0.0274447132 0.109319960 -0.226009951 0.323627087
  < d_y3_d_x4 0.006794565 0.0032862602 0.009740357 -0.020354089 0.035608023
  ---
  > d_y1_d_x1 0.008024061 -0.0221918693 -0.003013822 -0.003580919 0.007719276
  > d_y2_d_x1 0.069168691 0.2834124319 -0.051125291 0.117001952 -0.011003959
  > d_y3_d_x1 -0.001320640 0.0221051354 -0.006529182 0.007857725 -0.001154711
  > d_y1_d_x2 0.006892933 -0.0049626362 -0.025279579 -0.012078401 0.001854851
  > d_y2_d_x2 -0.019306168 -0.0159966696 0.289551399 0.116253877 -0.050256955
  > d_y3_d_x2 -0.001180108 -0.0015510103 0.029159259 0.010510205 -0.004569859
  > d_y1_d_x3 0.001495100 0.0154321000 -0.014214555 -0.013298496 0.006617854
  > d_y2_d_x3 0.014995412 -0.0266157466 0.117043412 0.058229661 0.056593619
  > d_y3_d_x3 0.003286260 -0.0009362881 0.010295468 0.008670312 0.005780561
  > d_y1_d_x4 -0.013515115 -0.0174971149 0.004292862 0.006071070 -0.031869289
  > d_y2_d_x4 -0.018636944 -0.0272966834 0.109349566 -0.226035857 0.323689999
  > d_y3_d_x4 0.006750156 0.0030050037 0.009799569 -0.019998817 0.035223146
  2841,2851c2836,2846
  < d_y2_d_x1 0.005045995 0.020659976 -0.005272943 0.006362307 0.0016345635
  < d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861012 0.0104287229
  < d_y1_d_x2 -0.002766753 -0.020715492 -0.061132915 -0.009824057 -0.0081116314
  < d_y2_d_x2 0.002814993 0.002380350 0.027709100 0.005519317 -0.0004557831
  < d_y3_d_x2 0.068754041 0.007870417 0.398240728 0.046827540 -0.0081515082
  < d_y1_d_x3 0.012765714 0.039142763 -0.026594467 -0.034477457 0.0205035063
  < d_y2_d_x3 -0.001398881 -0.008837375 0.010761762 0.011659294 -0.0015802174
  < d_y3_d_x3 -0.115781458 -0.033728575 -0.005058916 0.269608760 -0.0003515706
  < d_y1_d_x4 0.014558725 -0.013011814 0.027796284 -0.021828835 -0.0380001017
  < d_y2_d_x4 -0.003611926 -0.006631732 0.007164639 -0.008380333 0.0208672060
  < d_y3_d_x4 -0.140657856 -0.046925427 -0.011117033 -0.062202095 0.3280138925
  ---
  > d_y2_d_x1 0.005045995 0.020659975 -0.005272943 0.006362306 0.0016345637
  > d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861011 0.0104287230
  > d_y1_d_x2 -0.002766753 -0.020715492 -0.061132915 -0.009824057 -0.0081116315
  > d_y2_d_x2 0.002814993 0.002380350 0.027709100 0.005519317 -0.0004557832
  > d_y3_d_x2 0.068754042 0.007870417 0.398240728 0.046827540 -0.0081515083
  > d_y1_d_x3 0.012995623 0.039109456 -0.026546820 -0.034365047 0.0203022784
  > d_y2_d_x3 -0.001160646 -0.008952098 0.011128135 0.011845256 -0.0010329700
  > d_y3_d_x3 -0.115411384 -0.033628655 -0.004892383 0.269923323 -0.0002590520
  > d_y1_d_x4 0.014723408 -0.013026617 0.027794433 -0.021512421 -0.0382276976
  > d_y2_d_x4 -0.003798813 -0.006616929 0.006853777 -0.008450648 0.0215018835
  > d_y3_d_x4 -0.140480220 -0.046881018 -0.011279866 -0.061891233 0.3281471193
  2853,2855c2848,2850
  < d_y1_d_x1 -0.126350552 0.262417202 0.007278989
  < d_y2_d_x1 -0.202632884 -0.023680905 0.084414267
  < d_y3_d_x1 -0.004951992 -0.295571899 -0.015479741
  ---
  > d_y1_d_x1 -0.126350552 0.262417202 0.007278988
  > d_y2_d_x1 -0.202632884 -0.023680906 0.084414267
  > d_y3_d_x1 -0.004951992 -0.295571898 -0.015479741
  2858,2864c2853,2859
  < d_y3_d_x2 0.021740272 0.221112842 -0.046738981
  < d_y1_d_x3 0.013463767 -0.077678142 0.004063879
  < d_y2_d_x3 0.051549505 0.009577987 -0.035399924
  < d_y3_d_x3 -0.020117241 -0.277503946 0.065314421
  < d_y1_d_x4 0.172678538 -0.140493173 -0.027590893
  < d_y2_d_x4 0.359245966 0.043789046 -0.137854543
  < d_y3_d_x4 -0.018059628 0.209580501 0.061239902
  ---
  > d_y3_d_x2 0.021740271 0.221112842 -0.046738981
  > d_y1_d_x3 0.013457753 -0.077825246 0.004099499
  > d_y2_d_x3 0.051489831 0.009633498 -0.034826309
  > d_y3_d_x3 -0.020206059 -0.277626070 0.065458750
  > d_y1_d_x4 0.172610074 -0.140385851 -0.027374399
  > d_y2_d_x4 0.359347737 0.043774243 -0.137573286
  > d_y3_d_x4 -0.017941204 0.209684122 0.061225099
  2871c2866
  < 3: d_y2_d_x1 0.2319695899 0.513273327 0.45194164 0.65131103
  ---
  > 3: d_y2_d_x1 0.2319695899 0.513273328 0.45194164 0.65131103
  2876,2881c2871,2876
  < 3: d_y1_d_x3 0.0011362273 0.014178097 0.08013962 0.93612621
  < 3: d_y2_d_x3 -0.1491871869 0.299850754 -0.49753814 0.61880961
  < 3: d_y3_d_x3 0.1853439877 0.366606299 0.50556684 0.61316077
  < 3: d_y1_d_x4 -0.0006208183 0.008580080 -0.07235577 0.94231879
  < 3: d_y2_d_x4 -0.1992018262 0.550816062 -0.36164854 0.71761468
  < 3: d_y3_d_x4 0.1994459164 0.534888447 0.37287385 0.70924233
  ---
  > 3: d_y1_d_x3 0.0011362268 0.014315624 0.07936970 0.93673857
  > 3: d_y2_d_x3 -0.1491871870 0.299756283 -0.49769495 0.61869907
  > 3: d_y3_d_x3 0.1853439871 0.366637489 0.50552383 0.61319097
  > 3: d_y1_d_x4 -0.0006208183 0.008522426 -0.07284525 0.94192926
  > 3: d_y2_d_x4 -0.1992018262 0.550661621 -0.36174997 0.71753888
  > 3: d_y3_d_x4 0.1994459163 0.534517512 0.37313261 0.70904975
  2883c2878
  < mean: d_y2_d_x1 0.2067837152 0.389509696 0.53088207 0.59550050
  ---
  > mean: d_y2_d_x1 0.2067837152 0.389509697 0.53088207 0.59550050
  2888,2893c2883,2888
  < mean: d_y1_d_x3 0.1691669428 0.225937870 0.74873213 0.45401867
  < mean: d_y2_d_x3 -0.3354308933 0.163638234 -2.04983203 0.04038082
  < mean: d_y3_d_x3 0.2291505775 0.427134816 0.53648302 0.59162477
  < mean: d_y1_d_x4 -0.1237756934 0.311183616 -0.39775774 0.69080877
  < mean: d_y2_d_x4 -0.3651579862 0.569048570 -0.64169915 0.52106854
  < mean: d_y3_d_x4 0.4305024661 0.436814136 0.98555067 0.32435365
  ---
  > mean: d_y1_d_x3 0.1691669425 0.225934573 0.74874306 0.45401209
  > mean: d_y2_d_x3 -0.3354308937 0.163449508 -2.05219886 0.04015034
  > mean: d_y3_d_x3 0.2291505770 0.427366342 0.53619238 0.59182560
  > mean: d_y1_d_x4 -0.1237756934 0.311131786 -0.39782401 0.69075992
  > mean: d_y2_d_x4 -0.3651579862 0.569043611 -0.64170475 0.52106491
  > mean: d_y3_d_x4 0.4305024659 0.436721569 0.98575957 0.32425111
  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
  2923,2924c2918,2919
  < 7 0.086147908 -0.30982533 0.25313942 -0.065574382 -0.39933261 0.33260130
  < 8 0.452950420 -0.45385952 0.23690022 -0.373397954 -0.49823985 0.37848422
  ---
  > 7 0.086147908 -0.30982533 0.25313942 -0.065574383 -0.39933261 0.33260130
  > 8 0.252190242 -0.38617280 0.23690022 -0.184985860 -0.46686982 0.37848422
  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 0.086045011 -0.30982678 0.25307025 -0.065460222 -0.3993349 0.33273176
  < 8 0.452971431 -0.45400374 0.23688608 -0.373425415 -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
  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: 0.0001401276"
  < [8] "Component 8: Mean relative difference: 0.0002238025"
  < [9] "Component 9: Mean relative difference: 0.0002102506"
  < [10] "Component 10: Mean relative difference: 0.0001516199"
  < [11] "Component 11: Mean relative difference: 0.0001235971"
  < [12] "Component 12: Mean relative difference: 0.0002030516"
  ---
  > [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 0.525443301 -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
  2995,2996c2990,2991
  < 7 0.085831917 -0.31144596 0.25442557 -0.069814274 -0.40247246 0.33165943
  < 8 0.439314522 -0.45257718 0.23844919 -0.369902900 -0.49653017 0.37789393
  ---
  > 7 0.085831917 -0.31144596 0.25442557 -0.069814275 -0.40247246 0.33165943
  > 8 0.252832312 -0.38761701 0.23844919 -0.188497672 -0.47013102 0.37789393
  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: 0.002461312"
  < [9] "Component 9: Mean relative difference: 0.006604926"
  < [10] "Component 10: Mean relative difference: 0.006647739"
  < [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: 0.007262666"
  < [8] "Component 8: Mean relative difference: 0.002357"
  < [9] "Component 9: Mean relative difference: 0.006716895"
  < [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 -0.0018976595 0.0012381527 -0.0898724971 0.0111026043
  < 5 2.408126e-01 -0.0722735670 -0.1081276331 -0.0454836923 0.0196948221
  < 10 7.279534e-05 0.0001048119 0.0002842755 -0.0007541722 0.0001431042
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.0232684661 0.0871290977 -0.0177399676 -0.0452749762 -0.0615096107
  < 5 -0.0070121002 -0.1570501979 0.0097783694 0.0596542913 0.1147012293
  < 10 0.0005193529 0.0002662252 -0.0001022926 -0.0004098147 -0.0001890735
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0068204289 -0.0250869153
  < 5 -0.0349854408 0.0141127860
  < 10 -0.0001533034 -0.0005859012
  ---
  > 1 2.671114e-01 -0.001897659 0.0012381527 -0.0898724972 0.0111026042
  > 5 4.804800e-01 0.066989903 -0.1865386538 -0.2400866050 0.0134390757
  > 10 7.279534e-05 0.000104812 0.0002842754 -0.0007541722 0.0001431043
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.0232684661 0.0871270271 -0.0173514905 -0.0453053466 -0.0615087519
  > 5 -0.1876624140 -0.1072915448 0.1086954968 0.3284277562 0.0449074842
  > 10 0.0005193529 0.0002695627 -0.0001024627 -0.0004071313 -0.0001952407
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.0069782753 -0.0251646531
  > 5 -0.2420002118 0.1382809232
  > 10 -0.0001539053 -0.0005932655
  3050,3056c3045,3051
  < 1 -0.0018976595 0.1706676 0.003222529 -0.007611474 -0.01922027 -0.015126608
  < 5 -0.0722735670 0.3353120 0.064671824 0.074321413 -0.06623061 -0.077840346
  < 10 0.0001048119 0.2634495 0.006039631 -0.002325959 0.08898879 0.002116951
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.007305049 -0.11858593 0.008326058 -0.0014498166 -0.2776559 0.002860497
  < 5 -0.086987444 0.08283591 0.097494633 -0.1216234132 -0.1484980 0.038994670
  < 10 0.000340086 -0.10893447 -0.001590868 -0.0001548611 -0.2017918 -0.005231592
  ---
  > 1 -0.001897659 0.1706676 0.003222529 -0.007611475 -0.01922027 -0.015126608
  > 5 0.066989903 0.3353120 -0.024244383 -0.023043764 -0.06623061 -0.137910505
  > 10 0.000104812 0.2634495 0.006039631 -0.002325959 0.08898879 0.002116951
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.007315706 -0.1185118 0.008347515 -1.435210e-03 -0.2778544 0.003016481
  > 5 -0.091084366 0.0828829 0.178618168 -3.680357e-02 -0.1481576 0.087378268
  > 10 0.000493143 -0.1089146 -0.001379843 5.835166e-05 -0.2017364 -0.005051618
  3062,3063c3057,3058
  < 5 -0.1081276331 0.064671824 0.2587506 0.021843965 -0.008040397 -0.01687398
  < 10 0.0002842755 0.006039631 0.1376916 -0.003939484 -0.003951327 0.06569682
  ---
  > 5 -0.1865386538 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
  > 10 0.0002842754 0.006039631 0.1376916 -0.003939484 -0.003951327 0.06569682
  3065,3067c3060,3062
  < 1 0.018163058 0.009363576 -0.11258162 -0.0056644662 0.003016901 -0.21024094
  < 5 0.044882709 -0.012159836 -0.08374910 -0.0402633666 0.003188201 -0.06049581
  < 10 0.001123715 0.002298188 -0.06430114 -0.0005787055 -0.001452292 -0.10521758
  ---
  > 1 0.018159097 0.009080067 -0.11249454 -0.00567175 0.002926144 -0.2101706
  > 5 0.030100238 0.026173001 -0.30172442 -0.02254217 0.180444020 -0.2772860
  > 10 0.001191273 0.002304536 -0.06426513 -0.00043647 -0.001457520 -0.1051227
  3072,3073c3067,3068
  < 1 -0.0898724971 -0.007611474 -0.024097591 0.10986178 -0.02228280 -0.02627183
  < 5 -0.0454836923 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 -0.058179549 0.013134169 0.019147256 0.030291362 0.017179928 0.044862936
  < 5 0.002333462 0.056495699 -0.058505727 -0.225954171 -0.030171202 0.045792100
  < 10 -0.002788209 0.002000751 0.005142881 0.001911291 0.003357581 0.007928101
  ---
  > 1 -0.058175429 0.013057235 0.019150077 0.030288171 0.01725109 0.044888881
  > 5 -0.011462620 -0.018698589 -0.216184097 -0.156831775 0.11131507 -0.041557175
  > 10 -0.002824503 0.002001756 0.005117699 0.001971316 0.00336347 0.008002528
  3083,3085c3078,3080
  < 1 0.0111026043 -0.01922027 -0.014252445 -0.02228280 0.1473312 -0.008096171
  < 5 0.0196948221 -0.06623061 -0.008040397 -0.06971806 0.1886225 0.007834977
  < 10 0.0001431042 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 0.0058140628 0.02949830 0.0422260636 -0.003319491 0.0009543671
  < 5 0.0148774079 -0.08514916 0.0579891806 0.086673559 -0.1131972606
  < 10 0.0004953686 -0.06786146 -0.0002171497 -0.000286752 -0.1243880723
  < d_y3_d_x4
  < 1 0.04408361
  < 5 0.02856905
  < 10 -0.00270248
  ---
  > 1 0.0058099279 0.02936803 4.221189e-02 -0.0033222126 0.0008094348
  > 5 0.0272786323 -0.08515210 8.360613e-02 0.0417908511 -0.1134354294
  > 10 0.0005950015 -0.06785055 -8.549624e-05 -0.0001680563 -0.1243549737
  > d_y3_d_x4
  > 1 0.044052368
  > 5 0.102497491
  > 10 -0.002606281
  3098,3104c3093,3099
  < 1 0.0232684661 -0.015126608 0.02281127 -0.02627183 -0.008096171 0.1706051
  < 5 -0.0070121002 -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 0.001137298 0.043253472 -0.04572322 -0.004974583 0.040296388 -0.08971663
  < 5 0.059392817 0.007239204 -0.14267792 -0.137922599 0.129218351 0.01111095
  < 10 0.001860797 -0.001625838 -0.07126846 -0.001334867 -0.006207211 -0.11693769
  ---
  > 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 0.0871290977 0.007305049 0.018163058 -0.058179549 0.0058140628 0.001137298
  < 5 -0.1570501979 -0.086987444 0.044882709 0.002333462 0.0148774079 0.059392817
  < 10 0.0002662252 0.000340086 0.001123715 -0.002788209 0.0004953686 0.001860797
  ---
  > 1 0.0871270271 0.007315706 0.018159097 -0.058175429 0.0058099279 0.001140717
  > 5 -0.1072915448 -0.091084366 0.030100238 -0.011462620 0.0272786323 0.024521697
  > 10 0.0002695627 0.000493143 0.001191273 -0.002824503 0.0005950015 0.001952299
  3113,3119c3108,3114
  < 1 0.0521894026 -0.0153685109 -0.025643191 -0.0294383921 -0.0148235754
  < 5 0.4276263936 -0.1568404901 -0.202694429 -0.0620904990 0.1474847612
  < 10 0.0009906673 -0.0004001085 -0.001639983 -0.0006803364 -0.0005226474
  < d_y3_d_x4
  < 1 -0.033753890
  < 5 -0.013633808
  < 10 -0.002313793
  ---
  > 1 0.052186445 -0.0151297513 -0.025646749 -0.029437198 -0.0148938303
  > 5 0.351382199 -0.1650663379 -0.117904178 0.239711594 0.1159836760
  > 10 0.001018486 -0.0004678488 -0.001726268 -0.000711753 -0.0006902437
  > d_y3_d_x4
  > 1 -0.033773829
  > 5 -0.101137100
  > 10 -0.002552456
  3124,3130c3119,3125
  < 1 -0.0177399676 -0.11858593 0.009363576 0.013134169 0.02949830 0.043253472
  < 5 0.0097783694 0.08283591 -0.012159836 0.056495699 -0.08514916 0.007239204
  < 10 -0.0001022926 -0.10893447 0.002298188 0.002000751 -0.06786146 -0.001625838
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.0153685109 0.18708466 -0.033064407 0.006300698 0.240449474 -0.039634609
  < 5 -0.1568404901 0.33833702 0.014281665 -0.108217307 0.008338695 -0.034561863
  < 10 -0.0004001085 0.08991047 0.001544213 0.000161025 0.156756405 0.004055025
  ---
  > 1 -0.0173514905 -0.1185118 0.009080067 0.013057235 0.02936803 0.043384486
  > 5 0.1086954968 0.0828829 0.026173001 -0.018698589 -0.08515210 -0.016429303
  > 10 -0.0001024627 -0.1089146 0.002304536 0.002001756 -0.06785055 -0.001624032
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.0151297513 0.18665206 -0.032581347 6.162623e-03 0.240208643 -0.039119566
  > 5 -0.1650663379 0.33797782 0.037191700 -1.011780e-01 0.008438294 -0.075392389
  > 10 -0.0004678488 0.08985383 0.001419168 -6.380649e-07 0.156662659 0.003899246
  3135,3137c3130,3132
  < 1 -0.0452749762 0.008326058 -0.11258162 0.019147256 0.0422260636
  < 5 0.0596542913 0.097494633 -0.08374910 -0.058505727 0.0579891806
  < 10 -0.0004098147 -0.001590868 -0.06430114 0.005142881 -0.0002171497
  ---
  > 1 -0.0453053466 0.008347515 -0.11249454 0.019150077 4.221189e-02
  > 5 0.3284277562 0.178618168 -0.30172442 -0.216184097 8.360613e-02
  > 10 -0.0004071313 -0.001379843 -0.06426513 0.005117699 -8.549624e-05
  3139,3145c3134,3140
  < 1 -0.04572322 -0.025643191 -0.033064407 0.22244068 0.0145491010 -0.033554080
  < 5 -0.14267792 -0.202694429 0.014281665 0.44284399 0.2544215332 -0.218706617
  < 10 -0.07126846 -0.001639983 0.001544213 0.07757025 0.0009269843 0.005326792
  < d_y3_d_x4
  < 1 0.27260332
  < 5 0.03846137
  < 10 0.11817688
  ---
  > 1 -0.04574026 -0.025646749 -0.032581347 0.22216933 0.0145684749 -0.03324667
  > 5 -0.33968675 -0.117904178 0.037191700 0.70442886 0.1420128834 -0.39168643
  > 10 -0.07120353 -0.001726268 0.001419168 0.07750353 0.0007830003 0.00510837
  > d_y3_d_x4
  > 1 0.2724130
  > 5 0.3431578
  > 10 0.1180128
  3150,3160c3145,3155
  < 1 -0.0615096107 -0.0014498166 -0.0056644662 0.030291362 -0.003319491
  < 5 0.1147012293 -0.1216234132 -0.0402633666 -0.225954171 0.086673559
  < 10 -0.0001890735 -0.0001548611 -0.0005787055 0.001911291 -0.000286752
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.004974583 -0.0294383921 0.006300698 0.0145491010 0.0216791318
  < 5 -0.137922599 -0.0620904990 -0.108217307 0.2544215332 0.8761184849
  < 10 -0.001334867 -0.0006803364 0.000161025 0.0009269843 0.0005311534
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0022469401 0.009029162
  < 5 -0.0497394446 -0.224199746
  < 10 0.0002302148 0.001021854
  ---
  > 1 -0.0615087519 -1.435210e-03 -0.00567175 0.030288171 -0.0033222126
  > 5 0.0449074842 -3.680357e-02 -0.02254217 -0.156831775 0.0417908511
  > 10 -0.0001952407 5.835166e-05 -0.00043647 0.001971316 -0.0001680563
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 -0.004963502 -0.029437198 6.162623e-03 0.0145684749 0.0216792771
  > 5 -0.099438861 0.239711594 -1.011780e-01 0.1420128834 0.5353957063
  > 10 -0.001192549 -0.000711753 -6.380649e-07 0.0007830003 0.0005646205
  > d_y2_d_x4 d_y3_d_x4
  > 1 2.274581e-03 0.0090677567
  > 5 -9.154354e-03 -0.1430645150
  > 10 -6.782968e-05 0.0008214205
  3164,3175c3159,3166
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  < 1 -0.0068204289 -0.2776559 0.003016901 0.017179928 0.0009543671
  < 5 -0.0349854408 -0.1484980 0.003188201 -0.030171202 -0.1131972606
  < 10 -0.0001533034 -0.2017918 -0.001452292 0.003357581 -0.1243880723
  < 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 0.040296388 -0.0148235754 0.240449474 -0.033554080 0.0022469401 0.6044272
  < 5 0.129218351 0.1474847612 0.008338695 -0.218706617 -0.0497394446 0.5642249
  < 10 -0.006207211 -0.0005226474 0.156756405 0.005326792 0.0002302148 0.3033983
  < d_y3_d_x4
  < 1 -0.02044526
  < 5 -0.05323567
  < 10 0.01131299
  ---
  > 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 -0.0069782753 -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
  3180,3186c3171,3177
  < 1 -0.0250869153 0.002860497 -0.21024094 0.044862936 0.04408361 -0.08971663
  < 5 0.0141127860 0.038994670 -0.06049581 0.045792100 0.02856905 0.01111095
  < 10 -0.0005859012 -0.005231592 -0.10521758 0.007928101 -0.00270248 -0.11693769
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.033753890 -0.039634609 0.27260332 0.009029162 -0.02044526 0.5220365
  < 5 -0.013633808 -0.034561863 0.03846137 -0.224199746 -0.05323567 0.2294765
  < 10 -0.002313793 0.004055025 0.11817688 0.001021854 0.01131299 0.2114558
  ---
  > 1 -0.0251646531 0.003016481 -0.2101706 0.044888881 0.044052368 -0.08977236
  > 5 0.1382809232 0.087378268 -0.2772860 -0.041557175 0.102497491 -0.15394458
  > 10 -0.0005932655 -0.005051618 -0.1051227 0.008002528 -0.002606281 -0.11685097
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.033773829 -0.039119566 0.2724130 0.0090677567 -0.02029626 0.5218449
  > 5 -0.101137100 -0.075392389 0.3431578 -0.1430645150 -0.26212238 0.4782605
  > 10 -0.002552456 0.003899246 0.1180128 0.0008214205 0.01105439 0.2112263
  3190,3191c3181,3182
  < d_y1_d_x1 0.267111405 -0.001897659 0.001238153 -0.089872497 0.0111026043
  < d_y2_d_x1 -0.001897659 0.170667630 0.003222529 -0.007611474 -0.0192202676
  ---
  > d_y1_d_x1 0.267111405 -0.001897659 0.001238153 -0.089872497 0.0111026042
  > d_y2_d_x1 -0.001897659 0.170667630 0.003222529 -0.007611475 -0.0192202679
  3193c3184
  < d_y1_d_x2 -0.089872497 -0.007611474 -0.024097591 0.109861780 -0.0222828045
  ---
  > d_y1_d_x2 -0.089872497 -0.007611475 -0.024097591 0.109861780 -0.0222828044
  3196,3227c3187,3218
  < d_y1_d_x3 0.087129098 0.007305049 0.018163058 -0.058179549 0.0058140628
  < d_y2_d_x3 -0.017739968 -0.118585928 0.009363576 0.013134169 0.0294983027
  < d_y3_d_x3 -0.045274976 0.008326058 -0.112581620 0.019147256 0.0422260636
  < d_y1_d_x4 -0.061509611 -0.001449817 -0.005664466 0.030291362 -0.0033194912
  < d_y2_d_x4 -0.006820429 -0.277655856 0.003016901 0.017179928 0.0009543671
  < d_y3_d_x4 -0.025086915 0.002860497 -0.210240939 0.044862936 0.0440836116
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < d_y1_d_x1 0.023268466 0.087129098 -0.017739968 -0.045274976 -0.061509611
  < d_y2_d_x1 -0.015126608 0.007305049 -0.118585928 0.008326058 -0.001449817
  < d_y3_d_x1 0.022811267 0.018163058 0.009363576 -0.112581620 -0.005664466
  < d_y1_d_x2 -0.026271829 -0.058179549 0.013134169 0.019147256 0.030291362
  < d_y2_d_x2 -0.008096171 0.005814063 0.029498303 0.042226064 -0.003319491
  < d_y3_d_x2 0.170605098 0.001137298 0.043253472 -0.045723221 -0.004974583
  < d_y1_d_x3 0.001137298 0.052189403 -0.015368511 -0.025643191 -0.029438392
  < d_y2_d_x3 0.043253472 -0.015368511 0.187084657 -0.033064407 0.006300698
  < d_y3_d_x3 -0.045723221 -0.025643191 -0.033064407 0.222440678 0.014549101
  < d_y1_d_x4 -0.004974583 -0.029438392 0.006300698 0.014549101 0.021679132
  < d_y2_d_x4 0.040296388 -0.014823575 0.240449474 -0.033554080 0.002246940
  < d_y3_d_x4 -0.089716631 -0.033753890 -0.039634609 0.272603322 0.009029162
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.0068204289 -0.025086915
  < d_y2_d_x1 -0.2776558560 0.002860497
  < d_y3_d_x1 0.0030169012 -0.210240939
  < d_y1_d_x2 0.0171799282 0.044862936
  < d_y2_d_x2 0.0009543671 0.044083612
  < d_y3_d_x2 0.0402963879 -0.089716631
  < d_y1_d_x3 -0.0148235754 -0.033753890
  < d_y2_d_x3 0.2404494741 -0.039634609
  < d_y3_d_x3 -0.0335540805 0.272603322
  < d_y1_d_x4 0.0022469401 0.009029162
  < d_y2_d_x4 0.6044272427 -0.020445263
  < d_y3_d_x4 -0.0204452633 0.522036472
  ---
  > d_y1_d_x3 0.087127027 0.007315706 0.018159097 -0.058175429 0.0058099279
  > d_y2_d_x3 -0.017351490 -0.118511805 0.009080067 0.013057235 0.0293680342
  > d_y3_d_x3 -0.045305347 0.008347515 -0.112494538 0.019150077 0.0422118898
  > d_y1_d_x4 -0.061508752 -0.001435210 -0.005671750 0.030288171 -0.0033222126
  > d_y2_d_x4 -0.006978275 -0.277854366 0.002926144 0.017251086 0.0008094348
  > d_y3_d_x4 -0.025164653 0.003016481 -0.210170649 0.044888881 0.0440523685
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > d_y1_d_x1 0.023268466 0.087127027 -0.017351490 -0.045305347 -0.061508752
  > d_y2_d_x1 -0.015126608 0.007315706 -0.118511805 0.008347515 -0.001435210
  > d_y3_d_x1 0.022811267 0.018159097 0.009080067 -0.112494538 -0.005671750
  > d_y1_d_x2 -0.026271829 -0.058175429 0.013057235 0.019150077 0.030288171
  > d_y2_d_x2 -0.008096171 0.005809928 0.029368034 0.042211890 -0.003322213
  > d_y3_d_x2 0.170605098 0.001140717 0.043384486 -0.045740261 -0.004963502
  > d_y1_d_x3 0.001140717 0.052186445 -0.015129751 -0.025646749 -0.029437198
  > d_y2_d_x3 0.043384486 -0.015129751 0.186652060 -0.032581347 0.006162623
  > d_y3_d_x3 -0.045740261 -0.025646749 -0.032581347 0.222169334 0.014568475
  > d_y1_d_x4 -0.004963502 -0.029437198 0.006162623 0.014568475 0.021679277
  > d_y2_d_x4 0.040292742 -0.014893830 0.240208643 -0.033246673 0.002274581
  > d_y3_d_x4 -0.089772356 -0.033773829 -0.039119566 0.272412971 0.009067757
  > d_y2_d_x4 d_y3_d_x4
  > d_y1_d_x1 -0.0069782753 -0.025164653
  > d_y2_d_x1 -0.2778543662 0.003016481
  > d_y3_d_x1 0.0029261437 -0.210170649
  > d_y1_d_x2 0.0172510865 0.044888881
  > d_y2_d_x2 0.0008094348 0.044052368
  > d_y3_d_x2 0.0402927423 -0.089772356
  > d_y1_d_x3 -0.0148938303 -0.033773829
  > d_y2_d_x3 0.2402086433 -0.039119566
  > d_y3_d_x3 -0.0332466734 0.272412971
  > d_y1_d_x4 0.0022745814 0.009067757
  > d_y2_d_x4 0.6053376120 -0.020296258
  > d_y3_d_x4 -0.0202962576 0.521844880
  3232,3233c3223,3224
  < 1 0.237119196 -0.0042905707 -0.004537520 -0.16362764 0.021246739 0.05309042
  < 5 0.144928910 0.0130994340 -0.012655497 -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
  3235,3238c3226,3233
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.11546354 -0.017597035 -0.04924117 -0.08098938 4.929390e-03 0.003941292
  < 5 -0.16882051 0.020150548 0.08786305 0.13757884 -4.054534e-02 -0.015187851
  < 10 -0.01887379 0.001376677 0.00885958 0.01438849 -8.881784e-05 -0.001154632
  ---
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  > 1 0.11544880 -0.016286972 -0.049332760 -0.08098175 4.840572e-03
  > 5 0.04682366 0.021016522 0.092581498 -0.02604583 -4.027889e-02
  > 10 -0.01938449 0.001389167 0.008526513 0.01518785 -3.885781e-05
  > d_y3_d_x4
  > 1 0.0037525538
  > 5 0.0331734640
  > 10 -0.0007105427
  3243,3249c3238,3244
  < 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 -8.454515e-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 0.0000000 0.00000000
  < 5 -0.1691314 0.02061684 0.08801848 0.1377565 -0.0408118 -0.01527667
  < 10 0.0000000 0.00000000 0.00000000 0.0000000 0.0000000 0.00000000
  ---
  > 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
  3254,3260c3249,3255
  < 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 0.1154635 -0.01759703 -0.04924117 -0.08098938 0.00492939 0.003941292
  < 5 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
  < 10 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
  ---
  > 1 0.2371192 -0.00429057 -0.00453752 0.03892668 -0.004881742 -0.01711139
  > 5 0.0000000 0.00000000 0.00000000 0.24661116 -0.058139940 -0.14174766
  > 10 0.0000000 0.00000000 0.00000000 0.05122359 -0.004908095 -0.02281777
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.1154731 -0.01628697 -0.04937162 -0.08099563 0.004840572 0.003774758
  > 5 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
  > 10 0.0000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
  3265,3271c3260,3266
  < 1 -0.253201499 0.0045815732 0.004845272 0.17472547 -0.022687772 -0.05669121
  < 5 -0.090586260 -0.0081876610 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 -0.08438371 0.013525756 0.035596448 0.08650580 -0.0041744386 -0.004107825
  < 5 0.51401637 -0.078708507 -0.138962472 -0.08602008 0.0254907206 0.008926193
  < 10 -0.01925572 0.001474481 0.009000073 0.01718625 -0.0000721645 -0.002131628
  ---
  > 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
  3276,3278c3271,3273
  < 1 0.101122853 -0.0018297751 -0.0019350901 -0.06978133 0.009060974 0.02264117
  < 5 0.119070851 0.0107622472 -0.0103975173 -0.05516230 0.005497018 -0.03602681
  < 10 0.001805885 -0.0000887149 -0.0007676429 -0.01767021 0.001776293 0.00788169
  ---
  > 1 0.101122853 -1.829775e-03 -0.0019350901 -0.06978133 0.009060974 0.02264117
  > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018 -0.04142023
  > 10 0.001805885 -8.871495e-05 -0.0007676428 -0.01767021 0.001776293 0.00788169
  3280,3286c3275,3281
  < 1 0.049251575 -0.0072386541 -0.021177504 0.004379314 -0.0029277490
  < 5 -0.138211664 0.0178967952 0.073407946 0.522598395 -0.0980485920
  < 10 0.006650236 -0.0005440093 -0.004063416 -0.000592868 -0.0002394261
  < d_y3_d_x4
  < 1 -0.015490465
  < 5 -0.095541649
  < 10 -0.001658069
  ---
  > 1 0.049267708 -0.0072386541 -0.021049829 0.0043827839 -0.0029277489
  > 5 0.037997383 0.0179078974 0.077016171 0.4085231613 -0.0980041830
  > 10 0.006949996 -0.0005273559 -0.003608225 -0.0008149126 -0.0002172217
  > d_y3_d_x4
  > 1 -0.015335034
  > 5 -0.063576810
  > 10 -0.001968931
  3291,3297c3286,3292
  < 1 -0.0067049148 -0.2093069 -0.011106030 0.02359868 -0.07427991 -0.019690254
  < 5 -0.0129035549 0.0601708 0.009013214 0.02362358 -0.11310591 -0.004653031
  < 10 0.0001492365 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 -0.0137877557 0.24437119 0.026531555 0.0034687531 0.31739056 0.02636780
  < 5 -0.0004440892 0.05337952 -0.002331468 -0.0500932629 0.06252776 0.00985878
  < 10 0.0010325074 -0.22647717 -0.010325074 -0.0001332268 -0.30221381 -0.01216804
  ---
  > 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
  3302,3308c3297,3303
  < 1 -1.019913e-02 0.1193442 0.003567316 0.00000000 0.0000000 0.000000000
  < 5 -6.160382e-02 0.4058003 0.037210326 0.02362358 -0.1131059 -0.004653031
  < 10 -2.590372e-06 0.3469243 0.014366785 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 0.0000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000
  < 5 -0.0004440892 0.05351275 -0.002331468 -0.05009326 0.0627054 0.00985878
  < 10 0.0000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000
  ---
  > 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
  3314c3309
  < 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
  3317,3319c3312,3314
  < 1 -0.01378776 0.2443712 0.02653155 0.003468753 0.3173906 0.0263678
  < 5 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.0000000
  < 10 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.0000000
  ---
  > 1 -0.01380233 0.2439826 0.02654821 0.003449324 0.3172573 0.02616796
  > 5 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.00000000
  > 10 0.00000000 0.0000000 0.00000000 0.000000000 0.0000000 0.00000000
  3324,3330c3319,3325
  < 1 0.0071596671 0.22350287 0.011859282 -0.025199228 0.07931785 0.021025719
  < 5 0.0080652283 -0.03760911 -0.005633612 -0.014765668 0.07069564 0.002908327
  < 10 0.0001871152 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 0.011232542 0.06788194 -0.01381498 -0.0037039816 -0.33892888 -0.02806644
  < 5 -0.060793358 0.37237153 0.03849818 0.0323741034 -0.03885781 -0.00657252
  < 10 0.000192342 -0.15654633 -0.01002040 -0.0003996803 -0.37869152 -0.01536549
  ---
  > 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
  3336,3337c3331,3332
  < 5 -1.060132e-02 0.04943519 0.007405086 0.019408690 -0.09292568 -0.003822842
  < 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326888 -0.05050205 -0.003994835
  ---
  > 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
  3339,3341c3334,3336
  < 1 -0.0058985802 0.10461632 0.011260437 -2.030807e-03 0.4643204 0.025697861
  < 5 -0.0003885781 0.04392042 -0.002375877 -1.033038e-01 0.4571371 0.044759842
  < 10 -0.0002997602 0.08608947 0.003674838 7.021744e-05 0.2421167 0.008342692
  ---
  > 1 -5.891121e-03 0.10417223 0.011429746 -0.0020287253 0.4646756 0.025842189
  > 5 1.678657e-02 0.04400924 -0.031175063 -0.0350480873 0.4574923 0.003835713
  > 10 -2.220446e-05 0.08605894 0.004107825 0.0001146264 0.2420390 0.008298283
  3346,3347c3341,3342
  < 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
  ---
  > 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
  3350,3352c3345,3347
  < 1 -0.028626927 0.024968916 0.2426337 0.011713547 0.02455813 0.2856604
  < 5 0.017552626 0.003963496 -0.1014411 -0.087174712 0.03184120 -0.1410871
  < 10 0.003963496 -0.010075274 -0.2164158 -0.001909584 -0.01214584 -0.2393197
  ---
  > 1 -0.028605590 0.025801583 0.2423811 0.01173783 0.02504663 0.2854494
  > 5 -0.035038639 0.003830269 -0.1468270 -0.03392842 0.03166356 -0.2554845
  > 10 0.004118927 -0.010071111 -0.2165268 -0.00164313 -0.01217360 -0.2394085
  3357,3363c3352,3358
  < 1 -3.172708e-02 0.003760222 0.1006422 0.0000000 0.00000000 0.00000000
  < 5 -1.103577e-01 0.048919331 0.4007928 0.0343046 -0.01369036 0.02361125
  < 10 -4.433121e-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 0.0000000 0.0000000
  < 5 0.01755263 0.003963496 -0.1011857 -0.08717471 0.0318412 -0.1407763
  < 10 0.00000000 0.000000000 0.0000000 0.00000000 0.0000000 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
  3369,3370c3364,3365
  < 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
  3372,3374c3367,3369
  < 1 -0.0286238 0.02465805 0.2426337 0.01170383 0.02473577 0.2856604
  < 5 0.0000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
  < 10 0.0000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
  ---
  > 1 -0.02860559 0.02580158 0.2423811 0.01173783 0.02504663 0.2854494
  > 5 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
  > 10 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
  3380,3381c3375,3376
  < 5 0.014558209 0.004571824 -0.1146057 -0.02144172 0.008557014 -0.01475796
  < 10 0.001026688 0.014377230 0.1644973 -0.01372414 0.012104684 0.19330245
  ---
  > 5 0.046219800 0.004571824 -0.1383216 -0.03893609 0.008557013 -0.03730783
  > 10 0.001026687 0.014377230 0.1644973 -0.01372414 0.012104684 0.19330245
  3383,3385c3378,3380
  < 1 0.022102636 -0.011192323 0.0008547584 -0.012528173 -0.02571277 -0.30487834
  < 5 -0.121493248 0.045943934 0.4643641244 0.053868021 -0.02042810 0.08801848
  < 10 0.003062496 -0.009170551 -0.1310937438 -0.002220446 -0.01528222 -0.30033753
  ---
  > 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
  3390,3396c3385,3391
  < 1 -0.0099181812 -0.004697747 -0.06787290 0.019484466 -0.006644679 -0.05368446
  < 5 -0.0191359962 -0.006009421 0.15064319 0.028184011 -0.011247743 0.01939856
  < 10 -0.0003115489 -0.004362780 -0.04991682 0.004164601 -0.003673175 -0.05865776
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.012222515 0.010225154 0.10332291 -0.0034812393 0.024767800 0.3814975
  < 5 0.014910295 0.003164136 -0.08354428 -0.1811011226 0.075076186 0.2840417
  < 10 -0.001598721 0.003891332 0.08185674 -0.0004680132 0.008150316 0.2321601
  ---
  > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
  > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
  > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
  > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
  > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
  3400,3411c3395,3406
  < 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 -0.0174661634 2.470719e-03 -0.107503637 0.060236172 0.057426766
  < 5 0.0094047273 -0.3102622052 6.126323e-03 -0.217573304 0.141162941 0.038057502
  < 10 0.0002986814 -0.0001412116 5.869194e-06 -0.007937815 0.006272141 0.005869357
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 0.044672946 -0.029198866 -3.142764e-02 -2.457756e-03 7.194245e-03
  < 5 0.254585242 -0.354105634 -3.260725e-02 4.804601e-01 2.863931e-01
  < 10 0.002053913 -0.001038059 4.440892e-05 4.440892e-05 6.661338e-05
  < d_y3_d_x4
  < 1 -0.0081157303
  < 5 -0.0700328684
  < 10 -0.0005329071
  ---
  > 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
  3417c3412
  < 5 0.11202697 -0.1522331797 -0.134166079 0.10109648 -0.004554075 0.25411486
  ---
  > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
  3420,3422c3415,3417
  < 1 -0.10554734 0.011690648 -0.08223422 0.023809427 0.0023536728 0.030420111
  < 5 0.02299272 -0.033362202 -0.31212810 -0.502042852 0.1727951116 0.175415238
  < 10 -0.01364464 0.000928424 -0.01226796 0.004396483 0.0002498002 0.004574119
  ---
  > 1 -0.10554595 0.0111022302 -0.08223699 0.023814978 0.0021316282 0.030409009
  > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937 0.091260333
  > 10 -0.01385558 0.0008895662 -0.01219025 0.004973799 0.0002720046 0.005240253
  3427,3433c3422,3428
  < 1 -4.065697e-04 0.1000440 -0.11475185 0.0134169502 0.14424394 -0.20173175
  < 5 1.012813e-02 0.1914696 0.04184322 0.0312753797 0.19609338 -0.14276885
  < 10 -5.019285e-05 0.1066395 -0.12691634 0.0005696239 0.08873839 -0.08386716
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.0050591475 -0.22088997 0.27925162 -0.0002026157 -0.26432190 0.34091618
  < 5 -0.0506705788 -0.23671065 0.24402702 -0.0847322212 -0.46083137 0.23181457
  < 10 -0.0004551914 -0.08058137 0.07938095 0.0003108624 -0.09792722 0.09796608
  ---
  > 1 -4.065696e-04 0.1000440 -0.1147518 0.0134169502 0.14424394 -0.20173175
  > 5 1.095618e-01 0.1914696 -0.2351233 -0.0474577987 0.19609338 -0.26047393
  > 10 -5.019252e-05 0.1066395 -0.1269163 0.0005696241 0.08873839 -0.08386716
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.0050676477 -0.22102320 0.27909619 -0.0002144118 -0.26449953 0.34100500
  > 5 -0.0632993657 -0.23672175 0.42520432 -0.0563771252 -0.46087578 0.51776361
  > 10 -0.0002664535 -0.08062023 0.07956968 0.0000000000 -0.09790502 0.09765522
  3438c3433
  < 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
  3443,3448c3438,3443
  < d_y1_d_x3 0.115463542 0.000000000 0.115463542 -0.084383710 0.049251575
  < d_y2_d_x3 -0.017597035 0.000000000 -0.017597035 0.013525756 -0.007238654
  < d_y3_d_x3 -0.049241167 0.000000000 -0.049241167 0.035596448 -0.021177504
  < d_y1_d_x4 -0.080989382 0.000000000 -0.080989382 0.086505803 0.004379314
  < d_y2_d_x4 0.004929390 0.000000000 0.004929390 -0.004174439 -0.002927749
  < d_y3_d_x4 0.003941292 0.000000000 0.003941292 -0.004107825 -0.015490465
  ---
  > d_y1_d_x3 0.115448796 0.000000000 0.115473082 -0.084376424 0.049267708
  > d_y2_d_x3 -0.016286972 0.000000000 -0.016286972 0.014336219 -0.007238654
  > d_y3_d_x3 -0.049332760 0.000000000 -0.049371618 0.035596448 -0.021049829
  > d_y1_d_x4 -0.080981749 0.000000000 -0.080995627 0.086501639 0.004382784
  > d_y2_d_x4 0.004840572 0.000000000 0.004840572 -0.003774758 -0.002927749
  > d_y3_d_x4 0.003752554 0.000000000 0.003774758 -0.004019007 -0.015335034
  3450,3451c3445,3446
  < d_y1_d_x1 -0.006704915 -0.010199134 -0.006704915 0.007159667 -0.002859406
  < d_y2_d_x1 -0.209306902 0.119344221 -0.209306902 0.223502872 -0.089261906
  ---
  > d_y1_d_x1 -0.006704915 -0.010199135 -0.006704915 0.007159667 -0.002859406
  > d_y2_d_x1 -0.209306903 0.119344221 -0.209306903 0.223502872 -0.089261905
  3455,3461c3450,3456
  < d_y3_d_x2 -0.019690254 0.000000000 0.014673346 0.021025719 -0.008397188
  < d_y1_d_x3 -0.013787756 0.000000000 -0.013787756 0.011232542 -0.005898580
  < d_y2_d_x3 0.244371190 0.000000000 0.244371190 0.067881939 0.104616316
  < d_y3_d_x3 0.026531555 0.000000000 0.026531555 -0.013814977 0.011260437
  < d_y1_d_x4 0.003468753 0.000000000 0.003468753 -0.003703982 -0.002030807
  < d_y2_d_x4 0.317390558 0.000000000 0.317390558 -0.338928885 0.464320377
  < d_y3_d_x4 0.026367797 0.000000000 0.026367797 -0.028066438 0.025697861
  ---
  > d_y3_d_x2 -0.019690253 0.000000000 0.014673346 0.021025719 -0.008397188
  > d_y1_d_x3 -0.013802327 0.000000000 -0.013802327 0.011260297 -0.005891121
  > d_y2_d_x3 0.243982612 0.000000000 0.243982612 0.067482259 0.104172226
  > d_y3_d_x3 0.026548208 0.000000000 0.026548208 -0.013584606 0.011429746
  > d_y1_d_x4 0.003449324 0.000000000 0.003449324 -0.003665124 -0.002028725
  > d_y2_d_x4 0.317257332 0.000000000 0.317257332 -0.339817063 0.464675648
  > d_y3_d_x4 0.026167957 0.000000000 0.026167957 -0.027766678 0.025842189
  3463,3465c3458,3460
  < d_y1_d_x1 -0.02325677 -0.031727076 -0.023256772 0.0248341328 -0.009918181
  < d_y2_d_x1 -0.01101557 0.003760222 -0.011015572 0.0117626886 -0.004697747
  < d_y3_d_x1 -0.15915262 0.100642233 -0.159152617 0.1699469373 -0.067872897
  ---
  > d_y1_d_x1 -0.02325677 -0.031727076 -0.023256772 0.0248341329 -0.009918181
  > d_y2_d_x1 -0.01101557 0.003760221 -0.011015572 0.0117626887 -0.004697747
  > d_y3_d_x1 -0.15915262 0.100642233 -0.159152617 0.1699469374 -0.067872897
  3467,3474c3462,3469
  < d_y2_d_x2 -0.01558086 0.000000000 0.014775793 0.0166376097 -0.006644679
  < d_y3_d_x2 -0.12588268 0.000000000 0.259794850 0.1344205125 -0.053684460
  < d_y1_d_x3 -0.02862693 0.000000000 -0.028623805 0.0221026360 -0.012222515
  < d_y2_d_x3 0.02496892 0.000000000 0.024658053 -0.0111923235 0.010225154
  < d_y3_d_x3 0.24263369 0.000000000 0.242633691 0.0008547584 0.103322906
  < d_y1_d_x4 0.01171355 0.000000000 0.011703832 -0.0125281729 -0.003481239
  < d_y2_d_x4 0.02455813 0.000000000 0.024735769 -0.0257127653 0.024767800
  < d_y3_d_x4 0.28566038 0.000000000 0.285660384 -0.3048783448 0.381497498
  ---
  > d_y2_d_x2 -0.01558086 0.000000000 0.014775793 0.0166376095 -0.006644679
  > d_y3_d_x2 -0.12588268 0.000000000 0.259794850 0.1344205127 -0.053684460
  > d_y1_d_x3 -0.02860559 0.000000000 -0.028605590 0.0221094014 -0.012217484
  > d_y2_d_x3 0.02580158 0.000000000 0.025801583 -0.0111035056 0.010580425
  > d_y3_d_x3 0.24238112 0.000000000 0.242381115 0.0008464317 0.103497766
  > d_y1_d_x4 0.01173783 0.000000000 0.011737833 -0.0125288668 -0.003483321
  > d_y2_d_x4 0.02504663 0.000000000 0.025046631 -0.0253574939 0.025478343
  > d_y3_d_x4 0.28544944 0.000000000 0.285449442 -0.3048228336 0.381575213
  3476,3477c3471,3472
  < d_y1_d_x1 0.011959315 -0.030367660 -0.0004065697
  < d_y2_d_x1 -0.017466163 -0.002862858 0.1000439962
  ---
  > d_y1_d_x1 0.011959315 -0.030367660 -0.0004065696
  > d_y2_d_x1 -0.017466163 -0.002862858 0.1000439964
  3480c3475
  < d_y2_d_x2 0.060236172 -0.014779641 0.1442439397
  ---
  > d_y2_d_x2 0.060236172 -0.014779641 0.1442439395
  3482,3487c3477,3482
  < d_y1_d_x3 0.044672946 -0.105547342 -0.0050591475
  < d_y2_d_x3 -0.029198866 0.011690648 -0.2208899730
  < d_y3_d_x3 -0.031427638 -0.082234219 0.2792516218
  < d_y1_d_x4 -0.002457756 0.023809427 -0.0002026157
  < d_y2_d_x4 0.007194245 0.002353673 -0.2643218977
  < d_y3_d_x4 -0.008115730 0.030420111 0.3409161842
  ---
  > d_y1_d_x3 0.044659935 -0.105545954 -0.0050676477
  > d_y2_d_x3 -0.029354297 0.011102230 -0.2210231997
  > d_y3_d_x3 -0.031555314 -0.082236995 0.2790961906
  > d_y1_d_x4 -0.002448736 0.023814978 -0.0002144118
  > d_y2_d_x4 0.007283063 0.002131628 -0.2644995334
  > d_y3_d_x4 -0.008271162 0.030409009 0.3410050020
  3496,3502c3491,3497
  < 1: d_y1_d_x3 0.049373 0.228450 0.216 0.829
  < 1: d_y2_d_x3 -0.384962 0.432533 -0.890 0.373
  < 1: d_y3_d_x3 0.244210 0.471636 0.518 0.605
  < 1: d_y1_d_x4 -0.035715 0.147238 -0.243 0.808
  < 1: d_y2_d_x4 -0.504205 0.777449 -0.649 0.517
  < 1: d_y3_d_x4 0.301966 0.722521 0.418 0.676
  < 2: d_y1_d_x1 0.466050 0.490727 0.950 0.342
  ---
  > 1: d_y1_d_x3 0.049373 0.228444 0.216 0.829
  > 1: d_y2_d_x3 -0.384962 0.432032 -0.891 0.373
  > 1: d_y3_d_x3 0.244210 0.471348 0.518 0.604
  > 1: d_y1_d_x4 -0.035715 0.147239 -0.243 0.808
  > 1: d_y2_d_x4 -0.504205 0.778034 -0.648 0.517
  > 1: d_y3_d_x4 0.301966 0.722388 0.418 0.676
  > 2: d_y1_d_x1 0.395977 0.693167 0.571 0.568
  3504,3505c3499,3500
  < 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
  3507,3513c3502,3508
  < 2: d_y3_d_x2 -0.163006 0.539915 -0.302 0.763
  < 2: d_y1_d_x3 0.525069 0.653931 0.803 0.422
  < 2: d_y2_d_x3 -0.523912 0.581667 -0.901 0.368
  < 2: d_y3_d_x3 0.279124 0.665465 0.419 0.675
  < 2: d_y1_d_x4 -0.361028 0.936012 -0.386 0.700
  < 2: d_y2_d_x4 -0.538713 0.751149 -0.717 0.473
  < 2: d_y3_d_x4 0.488327 0.479037 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
  3520,3525c3515,3520
  < 3: d_y1_d_x3 0.005969 0.031475 0.190 0.850
  < 3: d_y2_d_x3 -0.149187 0.299851 -0.498 0.619
  < 3: d_y3_d_x3 0.148226 0.278514 0.532 0.595
  < 3: d_y1_d_x4 -0.004570 0.023047 -0.198 0.843
  < 3: d_y2_d_x4 -0.199202 0.550816 -0.362 0.718
  < 3: d_y3_d_x4 0.165549 0.459843 0.360 0.719
  ---
  > 3: d_y1_d_x3 0.005969 0.031914 0.187 0.852
  > 3: d_y2_d_x3 -0.149187 0.299756 -0.498 0.619
  > 3: d_y3_d_x3 0.148226 0.278395 0.532 0.594
  > 3: d_y1_d_x4 -0.004570 0.023762 -0.192 0.848
  > 3: d_y2_d_x4 -0.199202 0.550662 -0.362 0.718
  > 3: d_y3_d_x4 0.165549 0.459594 0.360 0.719
  3551c3546
  < 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
  3553c3548
  < 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
  3556c3551
  < 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
  3558c3553
  < 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
  3566,3579c3561,3574
  < 1 2.671114e-01 -0.0018976595 0.0012381527 -0.0898724971 0.0111026043
  < 5 2.408126e-01 -0.0722735670 -0.1081276331 -0.0454836923 0.0196948221
  < 10 7.279534e-05 0.0001048119 0.0002842755 -0.0007541722 0.0001431042
  < mean 9.750102e-02 -0.0135301687 -0.0236175626 -0.0152662194 0.0036925442
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.0232684661 0.0871290977 -0.0177399676 -0.0452749762 -0.0615096107
  < 5 -0.0070121002 -0.1570501979 0.0097783694 0.0596542913 0.1147012293
  < 10 0.0005193529 0.0002662252 -0.0001022926 -0.0004098147 -0.0001890735
  < mean -0.0042360604 -0.0316472785 0.0015178086 0.0116888600 0.0237715711
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0068204289 -0.0250869153
  < 5 -0.0349854408 0.0141127860
  < 10 -0.0001533034 -0.0005859012
  < mean -0.0118096965 -0.0057353010
  ---
  > 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
  3584,3587c3579,3582
  < 1 -0.0018976595 0.1706676 0.003222529 -0.007611474 -0.019220268 -0.015126608
  < 5 -0.0722735670 0.3353120 0.064671824 0.074321413 -0.066230609 -0.077840346
  < 10 0.0001048119 0.2634495 0.006039631 -0.002325959 0.088988794 0.002116951
  < mean -0.0135301687 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
  3589,3597c3584,3592
  < 1 0.007305049 -0.118585928 0.008326058 -0.0014498166 -0.2776559
  < 5 -0.086987444 0.082835907 0.097494633 -0.1216234132 -0.1484980
  < 10 0.000340086 -0.108934473 -0.001590868 -0.0001548611 -0.2017918
  < mean -0.013199281 0.001856717 0.035238780 -0.0160877582 -0.1055868
  < d_y3_d_x4
  < 1 0.002860497
  < 5 0.038994670
  < 10 -0.005231592
  < mean 0.021197934
  ---
  > 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
  3601,3615c3596,3605
  < 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 -0.1081276331 0.064671824 0.25875055 0.021843965 -0.008040397
  < 10 0.0002842755 0.006039631 0.13769158 -0.003939484 -0.003951327
  < mean -0.0236175626 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 0.018163058 0.009363576 -0.11258162 -0.0056644662
  < 5 -0.016873981 0.044882709 -0.012159836 -0.08374910 -0.0402633666
  < 10 0.065696821 0.001123715 0.002298188 -0.06430114 -0.0005787055
  < mean -0.005257584 0.005791242 0.013239945 -0.01224822 0.0005098400
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.003016901 -0.21024094
  < 5 0.003188201 -0.06049581
  < 10 -0.001452292 -0.10521758
  < mean 0.015888627 -0.04710184
  ---
  > 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
  3619,3633c3609,3623
  < 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 -0.007611474 -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 -0.058179549 0.013134169 0.019147256 0.030291362 0.017179928
  < 5 0.002333462 0.056495699 -0.058505727 -0.225954171 -0.030171202
  < 10 -0.002788209 0.002000751 0.005142881 0.001911291 0.003357581
  < mean 0.008825064 0.006038859 -0.022439699 -0.051965418 0.002613790
  < d_y3_d_x4
  < 1 0.044862936
  < 5 0.045792100
  < 10 0.007928101
  < mean 0.022159416
  ---
  > 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
  3638,3641c3628,3631
  < 1 0.0111026043 -0.019220268 -0.014252445 -0.02228280 0.1473312 -0.008096171
  < 5 0.0196948221 -0.066230609 -0.008040397 -0.06971806 0.1886225 0.007834977
  < 10 0.0001431042 0.088988794 -0.003951327 -0.00361963 0.1238768 0.008232387
  < mean 0.0036925442 -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
  3643,3651c3633,3641
  < 1 0.0058140628 0.029498303 0.0422260636 -0.003319491 0.0009543671
  < 5 0.0148774079 -0.085149156 0.0579891806 0.086673559 -0.1131972606
  < 10 0.0004953686 -0.067861457 -0.0002171497 -0.000286752 -0.1243880723
  < mean -0.0017954873 -0.005641265 0.0352427577 0.015259469 -0.0532275002
  < d_y3_d_x4
  < 1 0.04408361
  < 5 0.02856905
  < 10 -0.00270248
  < mean 0.02649414
  ---
  > 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
  3656,3659c3646,3649
  < 1 0.0232684661 -0.015126608 0.022811267 -0.02627183 -0.008096171 0.1706051
  < 5 -0.0070121002 -0.077840346 -0.016873981 -0.05297516 0.007834977 0.2915086
  < 10 0.0005193529 0.002116951 0.065696821 -0.01075533 0.008232387 0.1622181
  < mean -0.0042360604 -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
  3661,3669c3651,3659
  < 1 0.001137298 0.043253472 -0.04572322 -0.004974583 0.040296388
  < 5 0.059392817 0.007239204 -0.14267792 -0.137922599 0.129218351
  < 10 0.001860797 -0.001625838 -0.07126846 -0.001334867 -0.006207211
  < mean -0.008715846 0.026746002 -0.01031590 -0.007380057 0.047066054
  < d_y3_d_x4
  < 1 -0.08971663
  < 5 0.01111095
  < 10 -0.11693769
  < mean -0.02052057
  ---
  > 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
  3674,3687c3664,3677
  < 1 0.0871290977 0.007305049 0.018163058 -0.058179549 0.0058140628
  < 5 -0.1570501979 -0.086987444 0.044882709 0.002333462 0.0148774079
  < 10 0.0002662252 0.000340086 0.001123715 -0.002788209 0.0004953686
  < mean -0.0316472785 -0.013199281 0.005791242 0.008825064 -0.0017954873
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.001137298 0.0521894026 -0.0153685109 -0.025643191 -0.0294383921
  < 5 0.059392817 0.4276263936 -0.1568404901 -0.202694429 -0.0620904990
  < 10 0.001860797 0.0009906673 -0.0004001085 -0.001639983 -0.0006803364
  < mean -0.008715846 0.0376491263 -0.0154949579 -0.013592424 0.0127923962
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0148235754 -0.033753890
  < 5 0.1474847612 -0.013633808
  < 10 -0.0005226474 -0.002313793
  < mean 0.0194195142 -0.002803428
  ---
  > 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
  3692,3705c3682,3695
  < 1 -0.0177399676 -0.118585928 0.009363576 0.013134169 0.029498303
  < 5 0.0097783694 0.082835907 -0.012159836 0.056495699 -0.085149156
  < 10 -0.0001022926 -0.108934473 0.002298188 0.002000751 -0.067861457
  < mean 0.0015178086 0.001856717 0.013239945 0.006038859 -0.005641265
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.043253472 -0.0153685109 0.18708466 -0.033064407 0.006300698
  < 5 0.007239204 -0.1568404901 0.33833702 0.014281665 -0.108217307
  < 10 -0.001625838 -0.0004001085 0.08991047 0.001544213 0.000161025
  < mean 0.026746002 -0.0154949579 0.07198143 -0.028113702 -0.016130583
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.240449474 -0.039634609
  < 5 0.008338695 -0.034561863
  < 10 0.156756405 0.004055025
  < mean 0.052191852 -0.035206158
  ---
  > 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
  3710,3713c3700,3703
  < 1 -0.0452749762 0.008326058 -0.11258162 0.019147256 0.0422260636
  < 5 0.0596542913 0.097494633 -0.08374910 -0.058505727 0.0579891806
  < 10 -0.0004098147 -0.001590868 -0.06430114 0.005142881 -0.0002171497
  < mean 0.0116888600 0.035238780 -0.01224822 -0.022439699 0.0352427577
  ---
  > 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
  3715,3723c3705,3713
  < 1 -0.04572322 -0.025643191 -0.033064407 0.22244068 0.0145491010 -0.033554080
  < 5 -0.14267792 -0.202694429 0.014281665 0.44284399 0.2544215332 -0.218706617
  < 10 -0.07126846 -0.001639983 0.001544213 0.07757025 0.0009269843 0.005326792
  < mean -0.01031590 -0.013592424 -0.028113702 0.08381168 0.0182947637 -0.066198054
  < d_y3_d_x4
  < 1 0.27260332
  < 5 0.03846137
  < 10 0.11817688
  < mean 0.03624973
  ---
  > 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
  3728,3741c3718,3731
  < 1 -0.0615096107 -0.0014498166 -0.0056644662 0.030291362 -0.003319491
  < 5 0.1147012293 -0.1216234132 -0.0402633666 -0.225954171 0.086673559
  < 10 -0.0001890735 -0.0001548611 -0.0005787055 0.001911291 -0.000286752
  < mean 0.0237715711 -0.0160877582 0.0005098400 -0.051965418 0.015259469
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.004974583 -0.0294383921 0.006300698 0.0145491010 0.0216791318
  < 5 -0.137922599 -0.0620904990 -0.108217307 0.2544215332 0.8761184849
  < 10 -0.001334867 -0.0006803364 0.000161025 0.0009269843 0.0005311534
  < mean -0.007380057 0.0127923962 -0.016130583 0.0182947637 0.0926958607
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0022469401 0.009029162
  < 5 -0.0497394446 -0.224199746
  < 10 0.0002302148 0.001021854
  < mean -0.0124862192 -0.047920765
  ---
  > 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
  3746,3759c3736,3749
  < 1 -0.0068204289 -0.2776559 0.003016901 0.017179928 0.0009543671
  < 5 -0.0349854408 -0.1484980 0.003188201 -0.030171202 -0.1131972606
  < 10 -0.0001533034 -0.2017918 -0.001452292 0.003357581 -0.1243880723
  < mean -0.0118096965 -0.1055868 0.015888627 0.002613790 -0.0532275002
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.040296388 -0.0148235754 0.240449474 -0.033554080 0.0022469401
  < 5 0.129218351 0.1474847612 0.008338695 -0.218706617 -0.0497394446
  < 10 -0.006207211 -0.0005226474 0.156756405 0.005326792 0.0002302148
  < mean 0.047066054 0.0194195142 0.052191852 -0.066198054 -0.0124862192
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.6044272 -0.02044526
  < 5 0.5642249 -0.05323567
  < 10 0.3033983 0.01131299
  < mean 0.3182233 -0.02868994
  ---
  > 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
  3763,3772c3753,3767
  < 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 -0.0250869153 0.002860497 -0.21024094 0.044862936 0.04408361 -0.08971663
  < 5 0.0141127860 0.038994670 -0.06049581 0.045792100 0.02856905 0.01111095
  < 10 -0.0005859012 -0.005231592 -0.10521758 0.007928101 -0.00270248 -0.11693769
  < mean -0.0057353010 0.021197934 -0.04710184 0.022159416 0.02649414 -0.02052057
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.033753890 -0.039634609 0.27260332 0.009029162 -0.02044526 0.5220365
  < 5 -0.013633808 -0.034561863 0.03846137 -0.224199746 -0.05323567 0.2294765
  < 10 -0.002313793 0.004055025 0.11817688 0.001021854 0.01131299 0.2114558
  < mean -0.002803428 -0.035206158 0.03624973 -0.047920765 -0.02868994 0.1896935
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 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
  > 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 -0.08977236 -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
  3776,3813c3771,3808
  < d_y1_d_x1 0.097501018 -0.013530169 -0.023617563 -0.015266219 0.003692544
  < d_y2_d_x1 -0.013530169 0.148777309 0.008120735 0.009650611 -0.001428115
  < d_y3_d_x1 -0.023617563 0.008120735 0.087426914 -0.001952959 -0.011942149
  < d_y1_d_x2 -0.015266219 0.009650611 -0.001952959 0.062495001 -0.019839271
  < d_y2_d_x2 0.003692544 -0.001428115 -0.011942149 -0.019839271 0.129329235
  < d_y3_d_x2 -0.004236060 -0.028898252 -0.005257584 -0.015046395 -0.001703862
  < d_y1_d_x3 -0.031647278 -0.013199281 0.005791242 0.008825064 -0.001795487
  < d_y2_d_x3 0.001517809 0.001856717 0.013239945 0.006038859 -0.005641265
  < d_y3_d_x3 0.011688860 0.035238780 -0.012248224 -0.022439699 0.035242758
  < d_y1_d_x4 0.023771571 -0.016087758 0.000509840 -0.051965418 0.015259469
  < d_y2_d_x4 -0.011809697 -0.105586755 0.015888627 0.002613790 -0.053227500
  < d_y3_d_x4 -0.005735301 0.021197934 -0.047101840 0.022159416 0.026494136
  < 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 -0.031647278 0.001517809 0.01168886 0.023771571
  < d_y2_d_x1 -0.028898252 -0.013199281 0.001856717 0.03523878 -0.016087758
  < d_y3_d_x1 -0.005257584 0.005791242 0.013239945 -0.01224822 0.000509840
  < d_y1_d_x2 -0.015046395 0.008825064 0.006038859 -0.02243970 -0.051965418
  < d_y2_d_x2 -0.001703862 -0.001795487 -0.005641265 0.03524276 0.015259469
  < d_y3_d_x2 0.163056421 -0.008715846 0.026746002 -0.01031590 -0.007380057
  < d_y1_d_x3 -0.008715846 0.037649126 -0.015494958 -0.01359242 0.012792396
  < d_y2_d_x3 0.026746002 -0.015494958 0.071981431 -0.02811370 -0.016130583
  < d_y3_d_x3 -0.010315905 -0.013592424 -0.028113702 0.08381168 0.018294764
  < d_y1_d_x4 -0.007380057 0.012792396 -0.016130583 0.01829476 0.092695861
  < d_y2_d_x4 0.047066054 0.019419514 0.052191852 -0.06619805 -0.012486219
  < d_y3_d_x4 -0.020520566 -0.002803428 -0.035206158 0.03624973 -0.047920765
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.01180970 -0.005735301
  < d_y2_d_x1 -0.10558675 0.021197934
  < d_y3_d_x1 0.01588863 -0.047101840
  < d_y1_d_x2 0.00261379 0.022159416
  < d_y2_d_x2 -0.05322750 0.026494136
  < d_y3_d_x2 0.04706605 -0.020520566
  < d_y1_d_x3 0.01941951 -0.002803428
  < d_y2_d_x3 0.05219185 -0.035206158
  < d_y3_d_x3 -0.06619805 0.036249734
  < d_y1_d_x4 -0.01248622 -0.047920765
  < d_y2_d_x4 0.31822333 -0.028689937
  < d_y3_d_x4 -0.02868994 0.189693478
  ---
  > 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
  3821,3822c3816,3817
  < 1 0.237119196 -0.0042905707 -0.004537520 -0.16362764 0.021246739
  < 5 0.144928910 0.0130994340 -0.012655497 -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
  3824c3819
  < mean 0.125767220 0.0030140116 -0.005058468 -0.06144210 0.007756283
  ---
  > mean 0.170543000 0.0030140117 -0.015057964 -0.10021907 0.007756283
  3826,3834c3821,3829
  < 1 0.053090421 0.11546354 -0.017597035 -0.04924117 -0.08098938
  < 5 -0.043850583 -0.16882051 0.020150548 0.08786305 0.13757884
  < 10 -0.020715613 -0.01887379 0.001376677 0.00885958 0.01438849
  < mean -0.003825258 -0.02407692 0.001310063 0.01582715 0.02365932
  < d_y2_d_x4 d_y3_d_x4
  < 1 4.929390e-03 0.003941292
  < 5 -4.054534e-02 -0.015187851
  < 10 -8.881784e-05 -0.001154632
  < mean -1.190159e-02 -0.004133730
  ---
  > 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
  3840,3842c3835,3837
  < 5 4.089560e-01 -6.483072e-02 -8.364006e-02 -0.06714164 0.006690779
  < 10 3.416534e-05 -6.254719e-06 -8.454515e-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
  3844,3847c3839,3842
  < 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  < 5 -0.04385058 -0.16913138 0.020616842 0.08801848 0.13775647 -0.04081180
  < 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  < mean -0.01461686 -0.05637713 0.006872281 0.02933949 0.04591882 -0.01360393
  ---
  > 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
  3849,3852c3844,3847
  < 1 0.000000000
  < 5 -0.015276669
  < 10 0.000000000
  < mean -0.005092223
  ---
  > 1 0.00000000
  > 5 0.03326228
  > 10 0.00000000
  > mean 0.01108743
  3857,3865c3852,3860
  < 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
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.11546354 -0.017597035 -0.04924117 -0.08098938 0.00492939 0.003941292
  < 5 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000
  < 10 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000
  < mean 0.03848785 -0.005865678 -0.01641372 -0.02699646 0.00164313 0.001313764
  ---
  > 1 0.23711920 -0.00429057 -0.004537520 0.03892668 -0.004881742 -0.01711139
  > 5 0.00000000 0.00000000 0.000000000 0.24661116 -0.058139940 -0.14174766
  > 10 0.00000000 0.00000000 0.000000000 0.05122359 -0.004908095 -0.02281777
  > mean 0.07903973 -0.00143019 -0.001512507 0.11225381 -0.022643259 -0.06055894
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.11547308 -0.016286972 -0.04937162 -0.08099563 0.004840572 0.003774758
  > 5 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.000000000
  > 10 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.000000000
  > mean 0.03849103 -0.005428991 -0.01645721 -0.02699854 0.001613524 0.001258253
  3870,3873c3865,3868
  < 1 -0.253201499 0.0045815732 0.004845272 0.17472547 -0.022687772 -0.05669121
  < 5 -0.090586260 -0.0081876610 0.007910183 0.04196616 -0.004182000 0.02740834
  < 10 -0.005951165 0.0002923537 0.002529713 0.05823090 -0.005853647 -0.02597354
  < mean -0.116579641 -0.0011045780 0.005095056 0.09164085 -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
  3875,3883c3870,3878
  < 1 -0.08438371 0.013525756 0.035596448 0.086505803 -0.0041744386
  < 5 0.51401637 -0.078708507 -0.138962472 -0.086020080 0.0254907206
  < 10 -0.01925572 0.001474481 0.009000073 0.017186252 -0.0000721645
  < mean 0.13679231 -0.021236090 -0.031455317 0.005890658 0.0070813725
  < d_y3_d_x4
  < 1 -0.0041078252
  < 5 0.0089261931
  < 10 -0.0021316282
  < mean 0.0008955799
  ---
  > 1 -0.08437642 0.014336219 0.035596448 0.08650164 -3.774758e-03
  > 5 0.40105691 -0.078108987 -0.149774526 0.01605382 2.540190e-02
  > 10 -0.01912249 0.001521665 0.008955663 0.01736389 -1.665335e-05
  > mean 0.09918600 -0.020750368 -0.035074138 0.03997312 7.203497e-03
  > d_y3_d_x4
  > 1 -0.004019007
  > 5 -0.020961011
  > 10 -0.001598721
  > mean -0.008859580
  3888,3901c3883,3896
  < 1 0.101122853 -0.0018297751 -0.0019350901 -0.06978133 0.009060974
  < 5 0.119070851 0.0107622472 -0.0103975173 -0.05516230 0.005497018
  < 10 0.001805885 -0.0000887149 -0.0007676429 -0.01767021 0.001776293
  < mean 0.073999863 0.0029479191 -0.0043667501 -0.04753795 0.005444762
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.022641165 0.049251575 -0.0072386541 -0.021177504 0.004379314
  < 5 -0.036026810 -0.138211664 0.0178967952 0.073407946 0.522598395
  < 10 0.007881690 0.006650236 -0.0005440093 -0.004063416 -0.000592868
  < mean -0.001834651 -0.027436618 0.0033713773 0.016055675 0.175461614
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0029277490 -0.015490465
  < 5 -0.0980485920 -0.095541649
  < 10 -0.0002394261 -0.001658069
  < mean -0.0337385891 -0.037563394
  ---
  > 1 0.101122853 -1.829775e-03 -0.0019350901 -0.06978133 0.009060974
  > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018
  > 10 0.001805885 -8.871495e-05 -0.0007676428 -0.01767021 0.001776293
  > mean 0.110786797 2.947919e-03 -0.0125821461 -0.07939637 0.005444762
  > d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  > 1 0.022641165 0.049267708 -0.0072386541 -0.021049829 0.0043827839
  > 5 -0.041420232 0.037997383 0.0179078974 0.077016171 0.4085231613
  > 10 0.007881690 0.006949996 -0.0005273559 -0.003608225 -0.0008149126
  > mean -0.003632459 0.031405029 0.0033806291 0.017452706 0.1373636775
  > d_y2_d_x4 d_y3_d_x4
  > 1 -0.0029277489 -0.015335034
  > 5 -0.0980041830 -0.063576810
  > 10 -0.0002172217 -0.001968931
  > mean -0.0337163845 -0.026960258
  3907,3919c3902,3914
  < 5 -0.0129035549 0.06017080 0.009013214 0.02362358 -0.11310591
  < 10 0.0001492365 0.21970457 0.010775848 -0.00348749 0.13273560
  < mean -0.0064864111 0.02352282 0.002894344 0.01457826 -0.01821674
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.019690254 -0.0137877557 0.24437119 0.026531555 0.0034687531
  < 5 -0.004653031 -0.0004440892 0.05337952 -0.002331468 -0.0500932629
  < 10 0.010499709 0.0010325074 -0.22647717 -0.010325074 -0.0001332268
  < mean -0.004614525 -0.0043997792 0.02375785 0.004625004 -0.0155859122
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.31739056 0.026367797
  < 5 0.06252776 0.009858780
  < 10 -0.30221381 -0.012168044
  < mean 0.02590150 0.008019511
  ---
  > 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
  3925,3932c3920,3927
  < 5 -6.160382e-02 0.4058003 0.037210326 0.023623585 -0.11310591 -0.004653031
  < 10 -2.590372e-06 0.3469243 0.014366785 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 0.0000000000 0.00000000 0.0000000 0.00000000
  < 5 -0.0004440892 0.05351275 -0.0023314684 -0.05009326 0.0627054 0.00985878
  < 10 0.0000000000 0.00000000 0.0000000000 0.00000000 0.0000000 0.00000000
  < mean -0.0001480297 0.01783758 -0.0007771561 -0.01669775 0.0209018 0.00328626
  ---
  > 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
  3938c3933
  < 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
  3940c3935
  < 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
  3942c3937
  < 1 -0.013787756 0.24437119 0.026531555 0.003468753 0.3173906 0.026367797
  ---
  > 1 -0.013802327 0.24398261 0.026548208 0.003449324 0.3172573 0.026167957
  3945c3940
  < mean -0.004595919 0.08145706 0.008843852 0.001156251 0.1057969 0.008789266
  ---
  > mean -0.004600776 0.08132754 0.008849403 0.001149775 0.1057524 0.008722652
  3951c3946
  < 5 0.0080652283 -0.03760911 -0.005633612 -0.014765668 0.07069564 0.002908327
  ---
  > 5 0.0292628426 -0.03760911 -0.015075756 -0.012391838 0.07069564 -0.012199081
  3953c3948
  < mean 0.0051373369 0.15378754 0.006578863 -0.014779188 0.10547979 0.012366246
  ---
  > mean 0.0122032083 0.15378754 0.003431481 -0.013987911 0.10547979 0.007330444
  3955,3963c3950,3958
  < 1 0.011232542 0.06788194 -0.013814977 -0.0037039816 -0.33892888
  < 5 -0.060793358 0.37237153 0.038498185 0.0323741034 -0.03885781
  < 10 0.000192342 -0.15654633 -0.010020397 -0.0003996803 -0.37869152
  < mean -0.016456158 0.09456905 0.004887604 0.0094234805 -0.25215940
  < d_y3_d_x4
  < 1 -0.02806644
  < 5 -0.00657252
  < 10 -0.01536549
  < mean -0.01666815
  ---
  > 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
  3968,3971c3963,3966
  < 1 -2.859406e-03 -0.08926191 -0.0047363242 0.010063992 -0.03167772
  < 5 -1.060132e-02 0.04943519 0.0074050859 0.019408690 -0.09292568
  < 10 -5.678036e-05 -0.08359122 -0.0040998979 0.001326888 -0.05050205
  < mean -4.505834e-03 -0.04113931 -0.0004770454 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
  3973,3981c3968,3976
  < 1 -0.008397188 -0.0058985802 0.10461632 0.011260437 -2.030807e-03 0.4643204
  < 5 -0.003822842 -0.0003885781 0.04392042 -0.002375877 -1.033038e-01 0.4571371
  < 10 -0.003994835 -0.0002997602 0.08608947 0.003674838 7.021744e-05 0.2421167
  < mean -0.005404955 -0.0021956395 0.07820874 0.004186466 -3.508813e-02 0.3878581
  < d_y3_d_x4
  < 1 0.025697861
  < 5 0.044759842
  < 10 0.008342692
  < mean 0.026266798
  ---
  > 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
  3986,3987c3981,3982
  < 1 -0.0232567723 -0.011015572 -0.15915262 0.04568840 -0.015580858
  < 5 -0.0232916710 -0.007314459 0.18335766 0.03430460 -0.013690362
  ---
  > 1 -0.0232567722 -0.011015572 -0.15915262 0.04568840 -0.015580858
  > 5 -0.0739470342 -0.007314459 0.22130059 0.06229383 -0.013690362
  3989c3984
  < mean -0.0152431973 -0.002287747 0.05180082 0.02301570 -0.006538979
  ---
  > mean -0.0321283184 -0.002287747 0.06444847 0.03234544 -0.006538979
  3991,3999c3986,3994
  < 1 -0.12588268 -0.028626927 0.024968916 0.24263369 0.011713547 0.02455813
  < 5 0.02361125 0.017552626 0.003963496 -0.10144108 -0.087174712 0.03184120
  < 10 0.15417144 0.003963496 -0.010075274 -0.21641577 -0.001909584 -0.01214584
  < mean 0.01730000 -0.002370268 0.006285713 -0.02507439 -0.025790250 0.01475116
  < d_y3_d_x4
  < 1 0.28566038
  < 5 -0.14108714
  < 10 -0.23931968
  < mean -0.03158214
  ---
  > 1 -0.12588268 -0.028605590 0.025801583 0.24238112 0.011737833 0.02504663
  > 5 0.05968877 -0.035038639 0.003830269 -0.14682700 -0.033928416 0.03166356
  > 10 0.15417144 0.004118927 -0.010071111 -0.21652680 -0.001643130 -0.01217360
  > mean 0.02932584 -0.019841767 0.006520247 -0.04032423 -0.007944571 0.01484553
  > d_y3_d_x4
  > 1 0.28544944
  > 5 -0.25548452
  > 10 -0.23940849
  > mean -0.06981452
  4004,4012c3999,4007
  < 1 -3.172708e-02 0.003760222 0.1006422 0.00000000 0.000000000 0.000000000
  < 5 -1.103577e-01 0.048919331 0.4007928 0.03430460 -0.013690362 0.023611252
  < 10 -4.433121e-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 0.017552626 0.003963496 -0.10118573 -0.08717471 0.03184120 -0.14077628
  < 10 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
  < mean 0.005850875 0.001321165 -0.03372858 -0.02905824 0.01061373 -0.04692543
  ---
  > 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
  4018,4025c4013,4020
  < 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 -0.028623805 0.024658053 0.2426337 0.011703832 0.024735769 0.28566038
  < 5 0.000000000 0.000000000 0.0000000 0.000000000 0.000000000 0.00000000
  < 10 0.000000000 0.000000000 0.0000000 0.000000000 0.000000000 0.00000000
  < mean -0.009541268 0.008219351 0.0808779 0.003901277 0.008245256 0.09522013
  ---
  > 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
  4030,4033c4025,4028
  < 1 0.024834133 0.011762689 0.1699469 -0.04878715 0.016637610 0.13442051
  < 5 0.014558209 0.004571824 -0.1146057 -0.02144172 0.008557014 -0.01475796
  < 10 0.001026688 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
  4035,4043c4030,4038
  < 1 0.022102636 -0.011192323 0.0008547584 -0.012528173 -0.02571277
  < 5 -0.121493248 0.045943934 0.4643641244 0.053868021 -0.02042810
  < 10 0.003062496 -0.009170551 -0.1310937438 -0.002220446 -0.01528222
  < mean -0.032109372 0.008527020 0.1113750463 0.013039801 -0.02047436
  < d_y3_d_x4
  < 1 -0.30487834
  < 5 0.08801848
  < 10 -0.30033753
  < mean -0.17239913
  ---
  > 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
  4047,4061c4042,4051
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  < 1 -0.0099181812 -0.004697747 -0.06787290 0.019484466 -0.006644679
  < 5 -0.0191359962 -0.006009421 0.15064319 0.028184011 -0.011247743
  < 10 -0.0003115489 -0.004362780 -0.04991682 0.004164601 -0.003673175
  < mean -0.0097885755 -0.005023316 0.01095116 0.017277692 -0.007188532
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 -0.05368446 -0.0122225147 0.010225154 0.10332291 -0.0034812393
  < 5 0.01939856 0.0149102952 0.003164136 -0.08354428 -0.1811011226
  < 10 -0.05865776 -0.0015987212 0.003891332 0.08185674 -0.0004680132
  < mean -0.03098122 0.0003630198 0.005760207 0.03387846 -0.0616834584
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.024767800 0.3814975
  < 5 0.075076186 0.2840417
  < 10 0.008150316 0.2321601
  < mean 0.035998101 0.2992331
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  > 1 -0.0099181812 -0.004697747 -0.06787290 0.01948447 -0.006644679 -0.05368446
  > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
  > 10 -0.0003115491 -0.004362780 -0.04991682 0.00416460 -0.003673175 -0.05865776
  > mean -0.0236610716 -0.005023316 0.02134222 0.02494283 -0.007188532 -0.02110102
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 -0.012217484 0.010580425 0.10349777 -0.003483321 0.025478343 0.3815752
  > 5 -0.029048985 0.003463896 -0.12043699 -0.152433896 0.074854141 0.1554360
  > 10 -0.002065015 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
  > mean -0.014443828 0.005966986 0.02158366 -0.052158016 0.036159083 0.2564053
  4066,4079c4056,4069
  < 1 0.0119593147 -0.0174661634 2.470719e-03 -0.107503637 0.060236172
  < 5 0.0094047273 -0.3102622052 6.126323e-03 -0.217573304 0.141162941
  < 10 0.0002986814 -0.0001412116 5.869194e-06 -0.007937815 0.006272141
  < mean 0.0072209078 -0.1092898601 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 0.044672946 -0.029198866 -3.142764e-02 -2.457756e-03
  < 5 0.038057502 0.254585242 -0.354105634 -3.260725e-02 4.804601e-01
  < 10 0.005869357 0.002053913 -0.001038059 4.440892e-05 4.440892e-05
  < mean 0.033784542 0.100437367 -0.128114186 -2.133016e-02 1.593489e-01
  < d_y2_d_x4 d_y3_d_x4
  < 1 7.194245e-03 -0.0081157303
  < 5 2.863931e-01 -0.0700328684
  < 10 6.661338e-05 -0.0005329071
  < mean 9.788466e-02 -0.0262271686
  ---
  > 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
  4085c4075
  < 5 0.11202697 -0.1522331797 -0.134166079 0.10109648 -0.004554075 0.25411486
  ---
  > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
  4087,4092c4077,4087
  < mean 0.02618623 -0.0516546047 -0.061028368 0.10335322 -0.007539687 0.13551521
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 -0.10554734 0.011690648 -0.08223422 0.023809427 0.0023536728 0.030420111
  < 5 0.02299272 -0.033362202 -0.31212810 -0.502042852 0.1727951116 0.175415238
  < 10 -0.01364464 0.000928424 -0.01226796 0.004396483 0.0002498002 0.004574119
  < mean -0.03206642 -0.006914376 -0.13554343 -0.157945647 0.0584661948 0.070136489
  ---
  > mean -0.05620635 -0.0516546046 -0.019072980 0.14245227 -0.007539687 0.16223518
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  > 1 -0.10554595 0.0111022302 -0.08223699 0.023814978 0.0021316282
  > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937
  > 10 -0.01385558 0.0008895662 -0.01219025 0.004973799 0.0002720046
  > mean -0.09787443 -0.0073085057 -0.16597927 -0.139565905 0.0583699755
  > d_y3_d_x4
  > 1 0.030409009
  > 5 0.091260333
  > 10 0.005240253
  > mean 0.042303198
  4097,4105c4092,4100
  < 1 -4.065697e-04 0.1000440 -0.11475185 0.0134169502 0.14424394 -0.20173175
  < 5 1.012813e-02 0.1914696 0.04184322 0.0312753797 0.19609338 -0.14276885
  < 10 -5.019285e-05 0.1066395 -0.12691634 0.0005696239 0.08873839 -0.08386716
  < mean 3.223789e-03 0.1327177 -0.06660832 0.0150873179 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 -0.0050591475 -0.22088997 0.27925162 -0.0002026157 -0.26432190 0.34091618
  < 5 -0.0506705788 -0.23671065 0.24402702 -0.0847322212 -0.46083137 0.23181457
  < 10 -0.0004551914 -0.08058137 0.07938095 0.0003108624 -0.09792722 0.09796608
  < mean -0.0187283059 -0.17939400 0.20088653 -0.0282079915 -0.27436016 0.22356561
  ---
  > 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
  4109,4120c4104,4115
  < d_y1_d_x1 0.125767220 0.228345336 0.079039732 -0.1165796411 0.073999863
  < d_y2_d_x1 0.003014012 -0.024669762 -0.001430190 -0.0011045780 0.002947919
  < d_y3_d_x1 -0.005058468 -0.035124505 -0.001512507 0.0050950559 -0.004366750
  < d_y1_d_x2 -0.061442101 -0.022380547 0.143988198 0.0916408450 -0.047537948
  < d_y2_d_x2 0.007756283 0.002230260 -0.022643259 -0.0109078062 0.005444762
  < d_y3_d_x2 -0.003825258 -0.014616861 -0.055806601 -0.0184188061 -0.001834651
  < d_y1_d_x3 -0.024076921 -0.056377125 0.038487847 0.1367923148 -0.027436618
  < d_y2_d_x3 0.001310063 0.006872281 -0.005865678 -0.0212360902 0.003371377
  < d_y3_d_x3 0.015827154 0.029339494 -0.016413722 -0.0314553173 0.016055675
  < d_y1_d_x4 0.023659315 0.045918824 -0.026996461 0.0058906583 0.175461614
  < d_y2_d_x4 -0.011901591 -0.013603933 0.001643130 0.0070813725 -0.033738589
  < d_y3_d_x4 -0.004133730 -0.005092223 0.001313764 0.0008955799 -0.037563394
  ---
  > d_y1_d_x1 0.170543000 0.235387911 0.079039732 -0.144566262 0.110786797
  > d_y2_d_x1 0.003014012 -0.024669762 -0.001430190 -0.001104578 0.002947919
  > 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
  > d_y2_d_x2 0.007756283 0.002230260 -0.022643259 -0.010907806 0.005444762
  > 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
  4122,4133c4117,4128
  < d_y1_d_x1 -0.006486411 -0.0239351818 -0.002234972 0.005137337 -0.0045058344
  < d_y2_d_x1 0.023522821 0.2906896241 -0.069768967 0.153787542 -0.0411393113
  < d_y3_d_x1 0.002894344 0.0183814759 -0.003702010 0.006578863 -0.0004770454
  < d_y1_d_x2 0.014578258 0.0078745283 -0.015037924 -0.014779188 0.0102665236
  < d_y2_d_x2 -0.018216739 -0.0377019711 0.293766966 0.105479788 -0.0583684832
  < d_y3_d_x2 -0.004614525 -0.0015510103 0.020440429 0.012366246 -0.0054049553
  < d_y1_d_x3 -0.004399779 -0.0001480297 -0.004595919 -0.016456158 -0.0021956395
  < d_y2_d_x3 0.023757848 0.0178375833 0.081457063 0.094569047 0.0782087358
  < d_y3_d_x3 0.004625004 -0.0007771561 0.008843852 0.004887604 0.0041864660
  < d_y1_d_x4 -0.015585912 -0.0166977543 0.001156251 0.009423481 -0.0350881289
  < d_y2_d_x4 0.025901503 0.0209017988 0.105796853 -0.252159404 0.3878580512
  < d_y3_d_x4 0.008019511 0.0032862602 0.008789266 -0.016668148 0.0262667983
  ---
  > 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
  4135,4146c4130,4141
  < d_y1_d_x1 -0.015243197 -0.047363074 -0.007752257 0.01347301 -0.0097885755
  < d_y2_d_x1 -0.002287747 0.022537172 -0.003671857 0.01023725 -0.0050233162
  < d_y3_d_x1 0.051800825 0.257992100 -0.053050872 0.07327950 0.0109511578
  < d_y1_d_x2 0.023015696 0.011434867 -0.032097536 -0.02798434 0.0172776924
  < d_y2_d_x2 -0.006538979 -0.004563454 0.021041407 0.01243310 -0.0071885321
  < d_y3_d_x2 0.017300002 0.007870417 0.326571393 0.10432167 -0.0309812211
  < d_y1_d_x3 -0.002370268 0.005850875 -0.009541268 -0.03210937 0.0003630198
  < d_y2_d_x3 0.006285713 0.001321165 0.008219351 0.00852702 0.0057602071
  < d_y3_d_x3 -0.025074387 -0.033728575 0.080877897 0.11137505 0.0338784556
  < d_y1_d_x4 -0.025790250 -0.029058237 0.003901277 0.01303980 -0.0616834584
  < d_y2_d_x4 0.014751163 0.010613732 0.008245256 -0.02047436 0.0359981007
  < d_y3_d_x4 -0.031582144 -0.046925427 0.095220128 -0.17239913 0.2992331089
  ---
  > 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
  4148,4159c4143,4154
  < 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 0.100437367 -0.032066421 -0.018728306
  < d_y2_d_x3 -0.128114186 -0.006914376 -0.179394000
  < d_y3_d_x3 -0.021330160 -0.135543428 0.200886530
  < d_y1_d_x4 0.159348923 -0.157945647 -0.028207991
  < d_y2_d_x4 0.097884663 0.058466195 -0.274360164
  < d_y3_d_x4 -0.026227169 0.070136489 0.223565610
  ---
  > 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
  4165,4166c4160,4161
  < 3: d_y1_d_x1 0.001391671 0.008532019 0.1631116 0.8704305
  < 3: d_y2_d_x1 0.231969590 0.513273327 0.4519416 0.6513110
  ---
  > 3: d_y1_d_x1 0.001391671 0.008532018 0.1631116 0.8704305
  > 3: d_y2_d_x1 0.231969590 0.513273328 0.4519416 0.6513110
  4171,4177c4166,4172
  < 3: d_y1_d_x3 0.005969436 0.031474867 0.1896572 0.8495777
  < 3: d_y2_d_x3 -0.149187187 0.299850754 -0.4975381 0.6188096
  < 3: d_y3_d_x3 0.148226127 0.278514358 0.5322028 0.5945855
  < 3: d_y1_d_x4 -0.004569508 0.023046766 -0.1982711 0.8428330
  < 3: d_y2_d_x4 -0.199201826 0.550816062 -0.3616485 0.7176147
  < 3: d_y3_d_x4 0.165548888 0.459843246 0.3600116 0.7188385
  < mean: d_y1_d_x1 0.213146161 0.312251530 0.6826105 0.4948530
  ---
  > 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
  4179,4180c4174,4175
  < mean: d_y3_d_x1 -0.168169090 0.295680426 -0.5687529 0.5695239
  < mean: d_y1_d_x2 -0.160439535 0.249990001 -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
  4182,4188c4177,4183
  < mean: d_y3_d_x2 -0.158528562 0.403802453 -0.3925894 0.6946228
  < mean: d_y1_d_x3 0.193470657 0.194033828 0.9970976 0.3187172
  < mean: d_y2_d_x3 -0.352687253 0.268293554 -1.3145573 0.1886587
  < mean: d_y3_d_x3 0.223853352 0.289502472 0.7732347 0.4393835
  < mean: d_y1_d_x4 -0.133770793 0.304459949 -0.4393707 0.6603929
  < mean: d_y2_d_x4 -0.414040020 0.564112871 -0.7339666 0.4629691
  < mean: d_y3_d_x4 0.318613766 0.435538148 0.7315404 0.4644491
  ---
  > 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’ [112s/112s]
  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
  161,166c161,166
  < [1,] 0.829645430 0.000000000 1.015553869 -0.885915058 0.07479024
  < [2,] 1.506956379 0.000000000 0.542223742 -0.328478688 0.30106333
  < [3,] 0.028200821 0.028200821 0.011302084 -0.028934168 0.23870990
  < [4,] 0.278884059 0.278884059 0.030867645 -0.203276144 -0.57866261
  < [5,] 0.008065929 0.008065929 -0.004483375 -0.005041522 -0.49409119
  < [6,] 0.229643929 0.229643929 0.410353754 -0.387338879 0.03712902
  ---
  > [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
  > [6,] 0.229643929 0.229643929 0.410353753 -0.387338879 0.03712902
  169,170c169,170
  < [9,] -0.786230379 0.000000000 -0.551427316 0.894837835 -1.33563579
  < [10,] -0.083676789 0.000000000 0.039561667 -0.104915206 -0.01635680
  ---
  > [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 0.091549368 -0.07986279 -0.0729664531 0.0000000000
  < [2,] 0.00000000 0.108326749 -0.06562425 -0.1739281168 0.0000000000
  < [3,] 0.23870990 0.095668112 -0.24491742 -1.0683656138 -1.0683656138
  < [4,] -0.57866261 -0.064047949 0.42178210 0.4510185623 0.4510185623
  < [5,] -0.49409119 0.274636210 0.30882640 0.0005630478 0.0005630478
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  < [7,] -0.05339755 -0.026583998 -0.04473578 0.2517569110 0.2517569110
  < [8,] 0.00000000 0.129945662 -0.01013424 0.0039012368 0.0000000000
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  ---
  > [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
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  < [3,] -0.4281704368 1.0961478721 1.46951888 1.46951888 0.58894121
  < [4,] 0.0499199594 -0.3287434743 -0.62069563 -0.62069563 -0.06870028
  < [5,] -0.0003129651 -0.0003519270 1.52587918 1.52587918 -0.84814642
  < [6,] -0.0409815608 0.0386830916 0.25623136 0.25623136 0.45786317
  < [7,] 0.1253372985 0.2109186784 -0.08556548 -0.08556548 -0.04259882
  < [8,] -0.0076722392 0.0005983449 -0.17849777 0.00000000 0.35103677
  < [9,] -0.1804493034 0.2928271039 0.48068226 0.00000000 0.33712934
  < [10,] -0.0330208153 0.0875692540 -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
  195,200c195,200
  < [2,] 0.27311253 0.341544286 0.00000000 0.122892357 -0.074448087
  < [3,] -1.50773290 0.924470023 0.92447002 0.370501192 -0.948510356
  < [4,] 0.45241960 -0.378155959 -0.37815596 -0.041855329 0.275634562
  < [5,] -0.95373441 0.661509094 0.66150909 -0.367693965 -0.413469160
  < [6,] -0.43218371 -0.018413871 -0.01841387 -0.032903989 0.031058554
  < [7,] -0.07168565 0.258283049 0.25828305 0.128586340 0.216386193
  ---
  > [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
  > [7,] -0.07168565 0.258283049 0.25828305 0.128586339 0.216386192
  202,203c202,203
  < [9,] -0.54708223 -0.273051418 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 -0.0297429632 0.168661167 -0.317886103 -0.0208711566
  < [2,] 0.7025034017 -0.2310527845 -1.467310763 0.460141362 -0.1173459587
  < [3,] 0.0320304987 -0.0245890956 0.077917241 0.019108687 -0.3597735070
  < [4,] -0.0442589072 0.1844708728 -0.063565549 -0.125120456 -0.3829742719
  < [5,] 0.0001027849 0.0000825997 0.024379579 0.004037651 -0.0009016823
  < [6,] 0.0296043002 -0.0025989867 0.138285252 -0.004564782 -0.0038689815
  < [7,] 0.0380970112 -0.0168298053 0.049281652 -0.048184360 -0.0366696283
  < [8,] -0.0008799583 0.0028606945 -0.004381226 0.001581942 -0.0012885880
  < [9,] 1.4236956014 0.3163755173 -0.176222180 0.168016470 0.1964305114
  < [10,] 0.0089228583 -0.0008862498 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,] 0.0003426337 -5.483524e-03 -0.0018480115 0.0100890716 -0.0323882141
  < [2,] -0.4644179041 1.949214e-01 0.4909374387 -0.1428712508 -0.3282253767
  < [3,] 0.3783280498 3.041832e-01 -0.7794965691 -1.3445426168 1.6225290635
  < [4,] 0.3455217708 3.272277e-01 -0.0321739135 -0.2813773223 0.3108199227
  < [5,] -0.7868290077 -2.008823e-01 0.0029556992 0.0000308380 1.0495508378
  < [6,] 0.0037047387 9.094647e-05 0.0007130644 -0.0001813092 -0.0033234269
  < [7,] 0.0034465643 -3.419330e-03 -0.0016835914 0.0282567261 -0.0185170390
  < [8,] 0.0079515950 3.547434e-04 -0.0010920843 0.0012201493 -0.0020131903
  < [9,] -0.7279351633 5.083677e-01 -0.0136150291 0.0340948794 -0.0930338504
  < [10,] 0.0007581671 3.229958e-04 0.0001981401 -0.0002949335 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
  242,250c242,250
  < [2,] 1.506956925 0.000000000 0.542223938 -0.328478807 0.30106359
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  < [5,] 0.008065943 0.008065943 -0.004483383 -0.005041531 -0.49409092
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  < [8,] 0.195184154 0.000000000 -0.383852506 0.029936002 -0.06607566
  < [9,] -0.786229940 0.000000000 -0.551427009 0.894837336 -1.33563528
  < [10,] -0.083676704 0.000000000 0.039561627 -0.104915100 -0.01635678
  ---
  > [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
  > [7,] -0.185538931 -0.185538931 -0.092370646 -0.155442113 -0.05339749
  > [8,] 0.195184154 0.000000000 -0.383852505 0.029936002 -0.06607566
  > [9,] 0.415106501 0.000000000 0.291137394 -0.472448042 0.17791553
  > [10,] -0.420474161 0.000000000 0.198796571 -0.527196777 -0.00565330
  252,261c252,261
  < [1,] 0.00000000 0.091549474 -0.07986288 -0.0729663752 0.0000000000
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  < [4,] -0.57866228 -0.064047913 0.42178186 0.4510189056 0.4510189056
  < [5,] -0.49409092 0.274636058 0.30882623 0.0005630487 0.0005630487
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  < [7,] -0.05339749 -0.026583966 -0.04473573 0.2517570946 0.2517570946
  < [8,] 0.00000000 0.129945530 -0.01013423 0.0039012427 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 -0.564613073 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,] -0.0893168117 0.0779152251 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,] -0.0003129656 -0.0003519276 1.5258796 1.5258796 -0.84814664 -0.95373466
  < [6,] -0.0409815087 0.0386830424 0.2562315 0.2562315 0.45786351 -0.43218403
  < [7,] 0.1253373900 0.2109188322 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  < [8,] -0.0076722509 0.0005983458 -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
  274,278c274,278
  < [1,] -0.374754462 0.00000000 -0.458730115 0.400171698 0.1253096391
  < [2,] 0.341544520 0.00000000 0.122892441 -0.074448138 0.7025038955
  < [3,] 0.924470437 0.92447044 0.370501358 -0.948510780 0.0320304845
  < [4,] -0.378155709 -0.37815571 -0.041855301 0.275634379 -0.0442590067
  < [5,] 0.661509406 0.66150941 -0.367694139 -0.413469355 0.0001027840
  ---
  > [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
  280,283c280,283
  < [7,] 0.258283228 0.25828323 0.128586429 0.216386343 0.0380969798
  < [8,] 0.009751885 0.00000000 -0.019178223 0.001495677 -0.0008799655
  < [9,] -0.273051212 0.00000000 -0.191506079 0.310769670 1.4236959451
  < [10,] 0.006044605 0.00000000 -0.002857837 0.007578816 0.0089228473
  ---
  > [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969803
  > [8,] 0.009751885 0.00000000 -0.019178224 0.001495677 -0.0008799655
  > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
  > [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217581
  285,294c285,294
  < [1,] -0.0297429905 0.168661245 -0.317886056 -0.0208711775 0.0003426261
  < [2,] -0.2310526002 -1.467309031 0.460141663 -0.1173460729 -0.4644176794
  < [3,] -0.0245891161 0.077917436 0.019108677 -0.3597734608 0.3783282807
  < [4,] 0.1844707818 -0.063565663 -0.125120522 -0.3829743060 0.3455217761
  < [5,] 0.0000825997 0.024379671 0.004037646 -0.0009016805 -0.7868284841
  < [6,] -0.0025989909 0.138285183 -0.004564789 -0.0038689897 0.0037047267
  < [7,] -0.0168298437 0.049281613 -0.048184397 -0.0366696565 0.0034465550
  < [8,] 0.0028606899 -0.004381243 0.001581939 -0.0012885916 0.0079515816
  < [9,] 0.3163755173 -0.176222296 0.168016431 0.1964305181 -0.7279347805
  < [10,] -0.0008862533 0.036983148 -0.001222372 -0.0055697473 0.0007581631
  ---
  > [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 -0.0323882428
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  < [3,] 3.041832e-01 -0.7794960464 -1.344542e+00 1.6225297244
  < [4,] 3.272276e-01 -0.0321741211 -2.813774e-01 0.3108198789
  < [5,] -2.008824e-01 0.0029557361 3.083889e-05 1.0495514804
  < [6,] 9.094564e-05 0.0007130632 -1.813083e-04 -0.0033234335
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  ---
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  387,396c387,396
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  ---
  > [1,] NaN -1.152713e-06 -1.155963e-06 1.065088e-06 NaN
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  409,418c409,418
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  ---
  > [1,] 1.061921e-06 1.061976e-06 -1.026694e-06 NaN -1.028349e-06
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  > [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
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  < [8,] 7.946165e-07 -1.303548e-06 NaN -1.362286e-06 -1.288476e-06
  < [9,] -6.583121e-07 7.546474e-07 NaN 7.539925e-07 7.529596e-07
  < [10,] 9.077251e-07 -1.579577e-06 NaN -1.498684e-06 -1.525770e-06
  ---
  > [1,] -1.029330e-06 5.930994e-07 NaN 5.936987e-07 5.939315e-07
  > [2,] 9.732962e-07 3.464034e-07 NaN 3.467738e-07 3.468608e-07
  > [3,] 1.001217e-06 8.272969e-07 8.272969e-07 8.234431e-07 8.279187e-07
  > [4,] 6.411362e-07 5.153906e-07 5.153906e-07 5.220987e-07 5.137120e-07
  > [5,] 7.481537e-07 3.117855e-07 3.123892e-07 3.116675e-07 3.114816e-07
  > [6,] -7.347998e-07 1.284237e-06 1.284237e-06 1.247886e-06 1.259543e-06
  > [7,] 1.037426e-06 -6.937733e-07 -6.937733e-07 -6.913716e-07 -6.937723e-07
  > [8,] 7.904802e-07 -1.349087e-06 NaN -1.371885e-06 -1.394012e-06
  > [9,] -7.997367e-07 5.101749e-07 NaN 5.109671e-07 5.104353e-07
  > [10,] -2.270320e-07 -1.432755e-06 NaN -1.649215e-06 -1.406831e-06
  431,440c431,440
  < [1,] -6.095568e-07 -9.182495e-07 -4.673619e-07 1.501783e-07 -1.000049e-06
  < [2,] -7.029530e-07 7.976410e-07 1.180357e-06 -6.553125e-07 -9.726012e-07
  < [3,] 4.436666e-07 -8.307783e-07 -2.496374e-06 4.880439e-07 1.283732e-07
  < [4,] -2.247587e-06 4.935106e-07 -1.805960e-06 -5.341684e-07 -8.928763e-08
  < [5,] 8.641213e-06 0.000000e+00 -3.788835e-06 1.099872e-06 1.970051e-06
  < [6,] 5.869080e-07 -1.580546e-06 4.973658e-07 -1.617377e-06 -2.109114e-06
  < [7,] 8.232621e-07 -2.282476e-06 7.963697e-07 -7.730300e-07 -7.690191e-07
  < [8,] -8.169291e-06 1.630004e-06 -4.060793e-06 2.087889e-06 -2.800131e-06
  < [9,] -2.414315e-07 0.000000e+00 -6.627735e-07 2.325954e-07 -3.391193e-08
  < [10,] 1.225584e-06 -3.883417e-06 8.908346e-07 -3.337831e-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,] 2.203427e-05 -3.684854e-06 8.891420e-06 1.804694e-06 -8.843874e-07
  < [2,] 4.838514e-07 4.283204e-07 -1.099961e-06 -6.340964e-07 3.314853e-07
  < [3,] -6.103863e-07 -2.306705e-07 6.705525e-07 1.816596e-07 -4.072682e-07
  < [4,] -1.542326e-08 1.194271e-07 -6.452755e-06 -3.140755e-07 1.407336e-07
  < [5,] 6.654324e-07 -1.436950e-07 -1.247047e-05 -2.880060e-05 -6.122588e-07
  < [6,] 3.251500e-06 9.155659e-06 1.712675e-06 4.898719e-06 -1.970948e-06
  < [7,] 2.689747e-06 -2.289061e-06 1.813456e-06 1.328023e-06 -5.156285e-07
  < [8,] 1.696418e-06 1.173620e-06 7.370423e-07 -1.569588e-06 -1.171882e-06
  < [9,] 5.258780e-07 -5.608246e-07 -2.576782e-06 1.576040e-06 -6.444107e-07
  < [10,] 5.235083e-06 2.320161e-06 2.199314e-05 -3.952516e-06 2.011272e-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] -2.880060e-05 2.203427e-05
  ---
  > [1] -1.299039e-04 3.274424e-05
  456,465c456,465
  < [1,] -3.574918e-07 0.000000e+00 -4.366773e-07 3.813850e-07 -8.615331e-08
  < [2,] -5.457856e-07 0.000000e+00 -1.961714e-07 1.191073e-07 -2.566836e-07
  < [3,] -4.352074e-08 -4.352074e-08 -1.744312e-08 4.477170e-08 -1.936229e-07
  < [4,] -2.238210e-07 -2.238210e-07 -2.472353e-08 1.635469e-07 -3.272937e-07
  < [5,] -1.376677e-08 -1.376677e-08 7.529419e-09 8.952248e-09 -2.722267e-07
  < [6,] -1.792455e-07 -1.792455e-07 -3.207239e-07 3.026510e-07 -4.501954e-08
  < [7,] -1.538214e-07 -1.538214e-07 -7.639143e-08 -1.287246e-07 -6.328271e-08
  < [8,] -1.500744e-07 0.000000e+00 2.940815e-07 -2.267110e-08 -6.680767e-08
  < [9,] -4.383161e-07 0.000000e+00 -3.075063e-07 4.990774e-07 -5.071499e-07
  < [10,] -8.462675e-08 0.000000e+00 4.006865e-08 -1.063724e-07 -2.264855e-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
  467,476c467,476
  < [1,] 0.000000e+00 -1.062461e-07 9.255561e-08 -7.793766e-08 0.000000e+00
  < [2,] 0.000000e+00 -9.226064e-08 5.611101e-08 -2.327027e-07 0.000000e+00
  < [3,] -1.936229e-07 -7.724958e-08 1.991346e-07 -6.696865e-07 -6.696865e-07
  < [4,] -3.272937e-07 -3.612569e-08 2.387995e-07 -3.432810e-07 -3.432810e-07
  < [5,] -2.722267e-07 1.514592e-07 1.702822e-07 -8.881784e-10 -8.881784e-10
  < [6,] -4.501954e-08 -8.047609e-08 7.563593e-08 -2.914335e-08 -2.914335e-08
  < [7,] -6.328271e-08 -3.156636e-08 -5.303118e-08 -1.836309e-07 -1.836309e-07
  < [8,] 0.000000e+00 1.317650e-07 -1.021561e-08 -5.939693e-09 0.000000e+00
  < [9,] 0.000000e+00 -3.556298e-07 5.770844e-07 -2.327027e-07 0.000000e+00
  < [10,] 0.000000e+00 1.082671e-08 -2.829815e-08 -7.044365e-08 0.000000e+00
  ---
  > [1,] 0.000000e+00 -1.055302e-07 9.231850e-08 -7.771561e-08 0.000000e+00
  > [2,] 0.000000e+00 -1.139045e-07 6.895637e-08 -4.916068e-07 0.000000e+00
  > [3,] -5.146994e-07 -2.059538e-07 5.268713e-07 -5.497824e-07 -5.497824e-07
  > [4,] -4.449774e-07 -4.927047e-08 3.244033e-07 -4.947154e-07 -4.947154e-07
  > [5,] -4.800604e-07 2.668350e-07 3.004189e-07 -1.549871e-07 -1.549871e-07
  > [6,] -4.568568e-08 -8.118228e-08 7.636425e-08 -2.947642e-08 -2.947642e-08
  > [7,] -6.378231e-08 -3.173218e-08 -5.319920e-08 -1.843525e-07 -1.843525e-07
  > [8,] 0.000000e+00 1.322313e-07 -1.010237e-08 -5.939693e-09 0.000000e+00
  > [9,] 0.000000e+00 -1.162911e-07 1.888631e-07 -1.783018e-07 0.000000e+00
  > [10,] 0.000000e+00 4.784493e-09 -1.206344e-08 -4.440892e-10 0.000000e+00
  478,487c478,487
  < [1,] -9.534127e-08 8.298123e-08 -1.083578e-07 0.000000e+00 -1.326309e-07
  < [2,] -8.325998e-08 5.147495e-08 -5.608847e-07 0.000000e+00 -2.014887e-07
  < [3,] -2.676914e-07 6.871104e-07 -6.576961e-07 -6.581402e-07 -2.642767e-07
  < [4,] -3.827682e-08 2.503969e-07 -3.692602e-07 -3.692602e-07 -4.087827e-08
  < [5,] 5.083215e-10 -7.175030e-11 -4.045653e-07 -4.050094e-07 2.253753e-07
  < [6,] -5.268275e-08 4.996145e-08 -1.883493e-07 -1.883493e-07 -3.360448e-07
  < [7,] -9.115783e-08 -1.541809e-07 -8.837375e-08 -8.837375e-08 -4.385767e-08
  < [8,] 1.079532e-08 -1.048276e-09 -1.398048e-07 0.000000e+00 2.752371e-07
  < [9,] -1.628735e-07 2.655540e-07 -3.166356e-07 0.000000e+00 -2.224217e-07
  < [10,] 3.330000e-08 -8.824786e-08 -1.077194e-07 0.000000e+00 5.109181e-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
  > [8,] 1.153453e-08 -8.175470e-10 -1.396938e-07 0.000000e+00 2.754258e-07
  > [9,] -1.252329e-07 2.030189e-07 -2.013945e-07 0.000000e+00 -1.412727e-07
  > [10,] -1.258846e-10 -6.194957e-10 -4.884981e-07 0.000000e+00 2.308482e-07
  489,498c489,498
  < [1,] 1.157826e-07 -2.222666e-07 0.000000e+00 -2.721254e-07 2.370084e-07
  < [2,] 1.223230e-07 -2.335909e-07 0.000000e+00 -8.394587e-08 5.079910e-08
  < [3,] 6.753007e-07 -4.138911e-07 -4.130030e-07 -1.655431e-07 4.244665e-07
  < [4,] 2.688471e-07 -2.506884e-07 -2.506884e-07 -2.786029e-08 1.830376e-07
  < [5,] 2.537072e-07 -3.126388e-07 -3.126388e-07 1.733861e-07 1.951370e-07
  < [6,] 3.171735e-07 -2.331468e-08 -2.331468e-08 -4.046521e-08 3.855775e-08
  < [7,] -7.400691e-08 -1.791345e-07 -1.789680e-07 -8.906826e-08 -1.496773e-07
  < [8,] -2.175401e-08 -1.271205e-08 0.000000e+00 2.612622e-08 -1.927143e-09
  < [9,] 3.601511e-07 -2.060574e-07 0.000000e+00 -1.443942e-07 2.339970e-07
  < [10,] -1.354606e-07 -9.547918e-09 0.000000e+00 4.282995e-09 -1.156353e-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,] -7.638334e-08 2.731149e-08 -7.882583e-08 -4.773959e-08 2.087219e-08
  < [2,] -4.938272e-07 -1.842970e-07 -1.731948e-06 -3.015366e-07 1.141309e-07
  < [3,] 1.421085e-08 2.042810e-08 -1.945111e-07 9.325873e-09 -4.618528e-08
  < [4,] 9.947598e-08 9.103829e-08 1.147971e-07 6.683543e-08 3.419487e-08
  < [5,] 8.881784e-10 0.000000e+00 -9.237056e-08 4.440892e-09 -1.776357e-09
  < [6,] 1.737499e-08 4.107825e-09 6.877832e-08 7.382983e-09 8.160139e-09
  < [7,] 3.136380e-08 3.841372e-08 3.924638e-08 3.724798e-08 2.819966e-08
  < [8,] 7.188694e-09 4.662937e-09 1.779132e-08 3.302913e-09 3.608225e-09
  < [9,] -3.437250e-07 0.000000e+00 1.167955e-07 3.907985e-08 -6.661338e-09
  < [10,] 1.093570e-08 3.441691e-09 3.294587e-08 4.080070e-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,] 7.549517e-09 2.020606e-08 -1.643130e-08 1.820766e-08 2.864375e-08
  < [2,] -2.247091e-07 8.348877e-08 -5.400125e-07 9.059420e-08 -1.088019e-07
  < [3,] -2.309264e-07 -7.016610e-08 -5.226930e-07 -2.442491e-07 -6.608047e-07
  < [4,] -5.329071e-09 3.907985e-08 2.076117e-07 8.837375e-08 4.374279e-08
  < [5,] -5.235812e-07 2.886580e-08 -3.685940e-08 -8.881784e-10 -6.425971e-07
  < [6,] 1.204592e-08 8.326673e-10 1.221245e-09 -8.881784e-10 6.550316e-09
  < [7,] 9.270362e-09 7.827072e-09 -3.053113e-09 3.752554e-08 9.547918e-09
  < [8,] 1.348921e-08 4.163336e-10 -8.049117e-10 -1.915135e-09 2.359224e-09
  < [9,] -3.828049e-07 -2.851053e-07 3.508305e-08 5.373479e-08 5.995204e-08
  < [10,] 3.969047e-09 7.494005e-10 4.357625e-09 1.165734e-09 3.164136e-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] -1.731948e-06 6.871104e-07
  ---
  > [1] -2.565059e-06 5.631261e-07
  525,534c525,534
  < [1,] 0 NaN 9.078023e-10 3.986862e-10 0 NaN -8.601269e-09
  < [2,] 0 NaN 3.868841e-10 -4.254026e-10 0 NaN 9.015308e-10
  < [3,] 0 0 -1.107339e-10 -4.120556e-09 0 0 3.647488e-09
  < [4,] 0 0 1.606342e-09 -1.996276e-09 0 0 -1.562497e-09
  < [5,] 0 0 2.737123e-08 -6.892320e-08 0 0 5.258507e-10
  < [6,] 0 0 -1.042503e-09 -8.231177e-10 0 0 -4.533809e-10
  < [7,] 0 0 -2.042075e-09 -9.328164e-10 0 0 2.295772e-09
  < [8,] 0 NaN 2.754643e-09 1.156739e-08 0 NaN 2.923735e-09
  < [9,] 0 NaN 1.645355e-10 2.388245e-10 0 NaN -6.698275e-11
  < [10,] 0 NaN 1.462310e-09 2.536114e-09 0 NaN 1.534530e-08
  ---
  > [1,] 0 NaN 4.705147e-10 3.986864e-10 0 NaN 2.187332e-09
  > [2,] 0 NaN -3.557633e-09 4.410967e-09 0 NaN -1.464314e-10
  > [3,] 0 0 -1.303964e-09 1.064857e-10 0 0 -5.720951e-10
  > [4,] 0 0 -6.849076e-08 8.627653e-09 0 0 -1.374334e-10
  > [5,] 0 0 -6.934523e-08 -2.137830e-07 0 0 2.336353e-12
  > [6,] 0 0 -9.560260e-10 -2.408183e-09 0 0 6.843762e-09
  > [7,] 0 0 -1.446281e-09 -9.317958e-11 0 0 -8.229785e-10
  > [8,] 0 NaN 1.754401e-09 -7.686899e-09 0 NaN 6.512050e-09
  > [9,] 0 NaN 8.533383e-10 -1.096585e-10 0 NaN 3.277723e-10
  > [10,] 0 NaN -7.146121e-10 -1.730113e-09 0 NaN 6.185886e-08
  536,545c536,545
  < [1,] -7.000306e-09 0 NaN -6.807009e-10 -3.111713e-09 0 NaN
  < [2,] -2.444782e-09 0 NaN -7.505177e-09 1.982464e-08 0 NaN
  < [3,] -1.946022e-09 0 0 -1.634541e-09 8.253398e-12 0 -3.022003e-10
  < [4,] 5.642609e-10 0 0 -5.640003e-09 -5.548990e-10 0 0.000000e+00
  < [5,] 4.204532e-10 0 0 -4.676354e-08 1.781326e-06 0 -2.910382e-10
  < [6,] 4.762163e-09 0 0 1.478967e-08 2.082428e-08 0 0.000000e+00
  < [7,] 3.072951e-10 0 0 2.097508e-09 -1.599200e-09 0 0.000000e+00
  < [8,] -3.048224e-09 0 NaN 1.154525e-07 -2.294441e-07 0 NaN
  < [9,] -7.999390e-11 0 NaN -1.850689e-09 2.412534e-09 0 NaN
  < [10,] -4.824576e-09 0 NaN 1.559999e-10 8.615508e-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,] 6.042256e-11 -6.693697e-10 0 NaN 1.152425e-10
  < [2,] -7.217920e-10 2.350411e-10 0 NaN 8.411534e-10
  < [3,] -1.173073e-09 -3.326792e-10 0 9.607428e-10 8.977155e-10
  < [4,] 1.099709e-10 -6.705753e-10 0 0.000000e+00 2.709823e-09
  < [5,] -5.910303e-10 -8.786305e-10 0 0.000000e+00 1.064483e-09
  < [6,] 1.133687e-09 1.189443e-09 0 0.000000e+00 -3.635135e-08
  < [7,] -3.268708e-09 -4.390515e-10 0 6.447707e-10 8.860219e-10
  < [8,] 8.388583e-10 1.138567e-08 0 NaN -5.873729e-08
  < [9,] -1.030643e-09 4.087068e-10 0 NaN -6.549037e-10
  < [10,] 2.896711e-09 2.682939e-09 0 NaN 8.089269e-08
  ---
  > [1,] -1.654805e-09 -2.635592e-09 0 NaN 5.992846e-10
  > [2,] 3.035173e-09 -2.044246e-09 0 NaN 3.704022e-10
  > [3,] 2.035883e-10 2.167428e-10 0 0.000000e+00 -3.853798e-09
  > [4,] -6.382649e-09 -1.035605e-11 0 0.000000e+00 6.708096e-09
  > [5,] 1.304231e-09 1.413134e-10 0 6.036507e-10 -1.180929e-10
  > [6,] 1.497406e-09 1.574773e-09 0 0.000000e+00 -3.635135e-08
  > [7,] 1.289397e-09 3.307185e-09 0 0.000000e+00 2.401622e-09
  > [8,] 1.998476e-09 7.871433e-09 0 NaN -2.279775e-08
  > [9,] -1.337348e-10 2.680031e-09 0 NaN 7.922116e-10
  > [10,] 1.078315e-10 3.027292e-10 0 NaN -2.164604e-07
  558,562c558,562
  < [1,] -8.325640e-10 0 0 0 0 0 0 0 0 0 0
  < [2,] 1.583180e-09 0 0 0 0 0 0 0 0 0 0
  < [3,] 1.978746e-10 0 0 0 0 0 0 0 0 0 0
  < [4,] 1.135803e-09 0 0 0 0 0 0 0 0 0 0
  < [5,] 6.640544e-10 0 0 0 0 0 0 0 0 0 0
  ---
  > [1,] 8.320562e-10 0 0 0 0 0 0 0 0 0 0
  > [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
  564,567c564,567
  < [7,] 1.845225e-09 0 0 0 0 0 0 0 0 0 0
  < [8,] 1.507290e-08 0 0 0 0 0 0 0 0 0 0
  < [9,] -1.687801e-09 0 0 0 0 0 0 0 0 0 0
  < [10,] 5.380657e-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
  > [8,] -4.492502e-08 0 0 0 0 0 0 0 0 0 0
  > [9,] 2.603782e-10 0 0 0 0 0 0 0 0 0 0
  > [10,] 2.592378e-08 0 0 0 0 0 0 0 0 0 0
  569c569
  < [1] -2.294441e-07 1.781326e-06
  ---
  > [1] -6.148317e-06 8.735801e-05
  572,581c572,581
  < [1,] 0 0 9.219225e-10 -3.532022e-10 0 0 -7.874416e-10
  < [2,] 0 0 2.097778e-10 1.397357e-10 0 0 9.765998e-11
  < [3,] 0 0 -1.251525e-12 1.192251e-10 0 0 3.489486e-10
  < [4,] 0 0 4.958404e-11 4.057957e-10 0 0 1.000747e-10
  < [5,] 0 0 -1.227157e-10 3.474785e-10 0 0 1.444175e-10
  < [6,] 0 0 -4.277953e-10 3.188257e-10 0 0 -3.008020e-11
  < [7,] 0 0 1.886278e-10 1.449990e-10 0 0 -6.103072e-11
  < [8,] 0 0 -1.057376e-09 3.462813e-10 0 0 3.799263e-10
  < [9,] 0 0 -9.072931e-11 2.137092e-10 0 0 6.274647e-11
  < [10,] 0 0 5.785136e-11 -2.660766e-10 0 0 1.186705e-10
  ---
  > [1,] 0 0 4.778333e-10 -3.532025e-10 0 0 2.002491e-10
  > [2,] 0 0 2.698976e-10 2.027217e-10 0 0 2.534117e-11
  > [3,] 0 0 -2.829246e-10 -5.914924e-11 0 0 3.230124e-10
  > [4,] 0 0 -2.572512e-10 -2.134033e-10 0 0 -1.916303e-11
  > [5,] 0 0 1.453729e-10 5.039608e-10 0 0 -2.315703e-12
  > [6,] 0 0 -3.923092e-10 9.327835e-10 0 0 4.540591e-10
  > [7,] 0 0 1.335939e-10 1.448403e-11 0 0 2.187803e-11
  > [8,] 0 0 -6.734311e-10 -2.301150e-10 0 0 8.462118e-10
  > [9,] 0 0 2.484387e-10 5.180795e-11 0 0 4.090012e-11
  > [10,] 0 0 -1.420624e-10 9.121099e-10 0 0 1.653383e-10
  583,592c583,592
  < [1,] 5.590646e-10 0 0 6.079803e-11 -2.424498e-10 0 0.000000e+00
  < [2,] 1.604372e-10 0 0 4.696864e-10 7.515899e-10 0 0.000000e+00
  < [3,] 4.766152e-10 0 0 6.998618e-10 9.046985e-12 0 -4.440892e-10
  < [4,] 2.379950e-10 0 0 -2.815489e-10 1.824196e-10 0 0.000000e+00
  < [5,] 1.298470e-10 0 0 1.463538e-11 -6.268967e-10 0 -4.440892e-10
  < [6,] -2.982321e-10 0 0 -6.061028e-10 8.055465e-10 0 0.000000e+00
  < [7,] -1.374707e-11 0 0 2.628961e-10 -3.373013e-10 0 0.000000e+00
  < [8,] 3.089140e-11 0 0 -8.857808e-10 -1.372870e-10 0 0.000000e+00
  < [9,] -1.216016e-10 0 0 3.339552e-10 7.064548e-10 0 0.000000e+00
  < [10,] 9.894422e-11 0 0 -5.151247e-12 7.544544e-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,] 7.821993e-12 7.559159e-11 0 0.000000e+00 -5.286521e-11
  < [2,] 3.254054e-10 6.419265e-11 0 0.000000e+00 1.033714e-10
  < [3,] -6.908716e-10 5.015917e-10 0 8.881784e-10 3.326048e-10
  < [4,] -7.555026e-12 -3.033812e-10 0 0.000000e+00 -1.134205e-10
  < [5,] 5.012804e-10 8.379804e-10 0 0.000000e+00 -3.914041e-10
  < [6,] 5.190740e-10 -5.140581e-10 0 0.000000e+00 1.196103e-09
  < [7,] 1.392430e-10 3.147366e-11 0 1.665335e-10 1.139304e-10
  < [8,] 2.944699e-10 -3.117024e-10 0 0.000000e+00 1.126477e-09
  < [9,] -3.474601e-10 -2.235964e-10 0 0.000000e+00 1.254180e-10
  < [10,] 1.630046e-10 -4.003771e-10 0 0.000000e+00 -2.311781e-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
  605,609c605,609
  < [1,] -3.331685e-10 0 0 0 0 0 0 0 0 0 0
  < [2,] -1.178648e-10 0 0 0 0 0 0 0 0 0 0
  < [3,] -1.876862e-10 0 0 0 0 0 0 0 0 0 0
  < [4,] 3.130665e-10 0 0 0 0 0 0 0 0 0 0
  < [5,] -2.745661e-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
  611,614c611,614
  < [7,] 3.992815e-10 0 0 0 0 0 0 0 0 0 0
  < [8,] 2.254418e-11 0 0 0 0 0 0 0 0 0 0
  < [9,] -5.245173e-10 0 0 0 0 0 0 0 0 0 0
  < [10,] 4.077901e-10 0 0 0 0 0 0 0 0 0 0
  ---
  > [7,] 2.154110e-13 0 0 0 0 0 0 0 0 0 0
  > [8,] -6.719332e-11 0 0 0 0 0 0 0 0 0 0
  > [9,] 1.662543e-10 0 0 0 0 0 0 0 0 0 0
  > [10,] 1.208958e-10 0 0 0 0 0 0 0 0 0 0
  616c616
  < [1] -1.057376e-09 1.196103e-09
  ---
  > [1] -1.212533e-09 1.196103e-09
  640c640
  < 5 0.18950852 -0.188545546 0.11158058 -0.266847391 -0.1045012 -0.37901705
  ---
  > 5 0.18950852 -0.188545546 0.11158058 -0.266847392 -0.1045012 -0.37901705
  661,667c661,667
  < 1 0.12309248 0 0 0 0 -0.023001698 0
  < 2 0.14156547 0 0 0 0 -0.001011907 0
  < 3 0.09488643 0 0 0 0 -0.064415884 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 0 0 0.052620108 0 0 0
  < 2 0 0 0 -0.005591264 0 0 0
  < 3 0 0 0 -0.048698819 0 0 0
  ---
  > 1 0.12309248 0 0 0 0 -0.023003237 0
  > 2 0.14156547 0 0 0 0 -0.001012744 0
  > 3 0.09488643 0 0 0 0 -0.064428636 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 0 0 0.052617953 0 0 0
  > 2 0 0 0 -0.005592435 0 0 0
  > 3 0 0 0 -0.048716671 0 0 0
  676,677c676,677
  < 1 0 0.1176381 0 0 0 0 -0.03166304
  < 2 0 0.1133502 0 0 0 0 -0.01189510
  ---
  > 1 0 0.1176381 0 0 0 0 -0.03168021
  > 2 0 0.1133502 0 0 0 0 -0.01189367
  680,681c680,681
  < 1 0 0 0 0 0.08674356 0 0
  < 2 0 0 0 0 0.01042345 0 0
  ---
  > 1 0 0 0 0 0.08677789 0 0
  > 2 0 0 0 0 0.01042058 0 0
  695,697c695,697
  < 1 -0.051221283 0 0 0 0 0.02971560 0
  < 2 0.002146052 0 0 0 0 -0.00136582 0
  < 3 -0.029193314 0 0 0 0 -0.03223668 0
  ---
  > 1 -0.051221283 0 0 0 0 0.029715601 0
  > 2 0.002142288 0 0 0 0 -0.001363504 0
  > 3 -0.029217098 0 0 0 0 -0.032222045 0
  710,712c710,712
  < 1 0 -0.03471512 0 0 0 0 0.089992095
  < 2 0 -0.01870062 0 0 0 0 0.009505899
  < 3 0 0.04125406 0 0 0 0 -0.077249440
  ---
  > 1 0 -0.03470616 0 0 0 0 0.089977753
  > 2 0 -0.01871366 0 0 0 0 0.009526769
  > 3 0 0.04125105 0 0 0 0 -0.077244616
  725,731c725,731
  < 1 0 0 0.03511561 0 0 0 0
  < 2 0 0 0.02524119 0 0 0 0
  < 3 0 0 -0.02163920 0 0 0 0
  < d_y5_d_x3
  < 1 -0.08880189
  < 2 -0.03036920
  < 3 0.04571114
  ---
  > 1 0 0 0.03510358 0 0 0 0
  > 2 0 0 0.02524265 0 0 0 0
  > 3 0 0 -0.02164000 0 0 0 0
  > d_y5_d_x3
  > 1 -0.08878299
  > 2 -0.03037149
  > 3 0.04571239
  736,742c736,742
  < 1 -0.023001698 0 0 0 0 0.1165155 0
  < 2 -0.001011907 0 0 0 0 0.1185829 0
  < 3 -0.064415884 0 0 0 0 0.1776519 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 0 0 0.000251195 0 0 0
  < 2 0 0 0 0.027219103 0 0 0
  < 3 0 0 0 0.174198673 0 0 0
  ---
  > 1 -0.023003237 0 0 0 0 0.1165573 0
  > 2 -0.001012744 0 0 0 0 0.1185200 0
  > 3 -0.064428636 0 0 0 0 0.1777924 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 0 0 0.000235136 0 0 0
  > 2 0 0 0 0.027206982 0 0 0
  > 3 0 0 0 0.174373293 0 0 0
  751,752c751,752
  < 1 0 -0.03166304 0 0 0 0 0.03314371
  < 2 0 -0.01189510 0 0 0 0 0.16606413
  ---
  > 1 0 -0.03168021 0 0 0 0 0.03316105
  > 2 0 -0.01189367 0 0 0 0 0.16608926
  755,756c755,756
  < 1 0 0 0 0 -0.04853247 0 0
  < 2 0 0 0 0 -0.01279938 0 0
  ---
  > 1 0 0 0 0 -0.04858668 0 0
  > 2 0 0 0 0 -0.01282327 0 0
  767,768c767,768
  < 2 0 0 0.002146052 0 0 0 0
  < 3 0 0 -0.029193314 0 0 0 0
  ---
  > 2 0 0 0.002142288 0 0 0 0
  > 3 0 0 -0.029217098 0 0 0 0
  771,772c771,772
  < 2 0.12926836 0 0 0 0 0.007376133 0
  < 3 0.14993689 0 0 0 0 0.026118370 0
  ---
  > 2 0.12912357 0 0 0 0 0.007404663 0
  > 3 0.15000018 0 0 0 0 0.026096966 0
  781,787c781,787
  < 1 0 0 0 -0.03471512 0 0 0
  < 2 0 0 0 -0.01870062 0 0 0
  < 3 0 0 0 0.04125406 0 0 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 0.03307393 0 0 0 0 -0.008776580
  < 2 0 0.15572993 0 0 0 0 0.003204856
  < 3 0 0.17293882 0 0 0 0 -0.048976820
  ---
  > 1 0 0 0 -0.03470616 0 0 0
  > 2 0 0 0 -0.01871366 0 0 0
  > 3 0 0 0 0.04125105 0 0 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 0.03304046 0 0 0 0 -0.008752194
  > 2 0 0.15568374 0 0 0 0 0.003243387
  > 3 0 0.17291328 0 0 0 0 -0.048942347
  796,806c796,806
  < 1 0 0 0 0 0.03511561 0 0
  < 2 0 0 0 0 0.02524119 0 0
  < 3 0 0 0 0 -0.02163920 0 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 0 0.06437586 0 0 0 0
  < 2 0 0 0.15865241 0 0 0 0
  < 3 0 0 0.13038105 0 0 0 0
  < d_y5_d_x3
  < 1 -0.01561634
  < 2 -0.08122932
  < 3 -0.05637112
  ---
  > 1 0 0 0 0 0.03510358 0 0
  > 2 0 0 0 0 0.02524265 0 0
  > 3 0 0 0 0 -0.02164000 0 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 0 0.0643694 0 0 0 0
  > 2 0 0 0.1586576 0 0 0 0
  > 3 0 0 0.1303914 0 0 0 0
  > d_y5_d_x3
  > 1 -0.01558895
  > 2 -0.08126162
  > 3 -0.05639616
  811,817c811,817
  < 1 0.052620108 0 0 0 0 0.000251195 0
  < 2 -0.005591264 0 0 0 0 0.027219103 0
  < 3 -0.048698819 0 0 0 0 0.174198673 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 0 0 0.2356416 0 0 0
  < 2 0 0 0 0.2269162 0 0 0
  < 3 0 0 0 0.1995391 0 0 0
  ---
  > 1 0.052617953 0 0 0 0 0.000235136 0
  > 2 -0.005592435 0 0 0 0 0.027206982 0
  > 3 -0.048716671 0 0 0 0 0.174373293 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 0 0 0.2355145 0 0 0
  > 2 0 0 0 0.2270055 0 0 0
  > 3 0 0 0 0.1997526 0 0 0
  826,827c826,827
  < 1 0 0.08674356 0 0 0 0 -0.04853247
  < 2 0 0.01042345 0 0 0 0 -0.01279938
  ---
  > 1 0 0.08677789 0 0 0 0 -0.04858668
  > 2 0 0.01042058 0 0 0 0 -0.01282327
  830,831c830,831
  < 1 0 0 0 0 0.1687576 0 0
  < 2 0 0 0 0 0.1708552 0 0
  ---
  > 1 0 0 0 0 0.1689051 0 0
  > 2 0 0 0 0 0.1708503 0 0
  841,843c841,843
  < 1 0 0 0.02971560 0 0 0 0
  < 2 0 0 -0.00136582 0 0 0 0
  < 3 0 0 -0.03223668 0 0 0 0
  ---
  > 1 0 0 0.029715601 0 0 0 0
  > 2 0 0 -0.001363504 0 0 0 0
  > 3 0 0 -0.032222045 0 0 0 0
  846,847c846,847
  < 2 0.007376133 0 0 0 0 0.13715528 0
  < 3 0.026118370 0 0 0 0 0.12613172 0
  ---
  > 2 0.007404663 0 0 0 0 0.13717500 0
  > 3 0.026096966 0 0 0 0 0.12613410 0
  856,862c856,862
  < 1 0 0 0 0.089992095 0 0 0
  < 2 0 0 0 0.009505899 0 0 0
  < 3 0 0 0 -0.077249440 0 0 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 -0.008776580 0 0 0 0 0.08880051
  < 2 0 0.003204856 0 0 0 0 0.15600012
  < 3 0 -0.048976820 0 0 0 0 0.23821820
  ---
  > 1 0 0 0 0.089977753 0 0 0
  > 2 0 0 0 0.009526769 0 0 0
  > 3 0 0 0 -0.077244616 0 0 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 -0.008752194 0 0 0 0 0.08880815
  > 2 0 0.003243387 0 0 0 0 0.15599507
  > 3 0 -0.048942347 0 0 0 0 0.23817327
  871,881c871,881
  < 1 0 0 0 0 -0.08880189 0 0
  < 2 0 0 0 0 -0.03036920 0 0
  < 3 0 0 0 0 0.04571114 0 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 0 -0.01561634 0 0 0 0
  < 2 0 0 -0.08122932 0 0 0 0
  < 3 0 0 -0.05637112 0 0 0 0
  < d_y5_d_x3
  < 1 0.1666979
  < 2 0.1978334
  < 3 0.1421071
  ---
  > 1 0 0 0 0 -0.08878299 0 0
  > 2 0 0 0 0 -0.03037149 0 0
  > 3 0 0 0 0 0.04571239 0 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 0 -0.01558895 0 0 0 0
  > 2 0 0 -0.08126162 0 0 0 0
  > 3 0 0 -0.05639616 0 0 0 0
  > d_y5_d_x3
  > 1 0.1666277
  > 2 0.1979221
  > 3 0.1421602
  890,891c890,891
  < d_y1_d_x2 -0.08695401 0.000000000 0.000000000 0.00000000 0.0000000000
  < d_y2_d_x2 0.00000000 -0.001373333 0.000000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x2 -0.08694042 0.000000000 0.000000000 0.00000000 0.0000000000
  > d_y2_d_x2 0.00000000 -0.001373386 0.000000000 0.00000000 0.0000000000
  893c893
  < d_y4_d_x2 0.00000000 0.000000000 0.000000000 -0.02173605 0.0000000000
  ---
  > d_y4_d_x2 0.00000000 0.000000000 0.000000000 -0.02173259 0.0000000000
  895,896c895,896
  < d_y1_d_x3 -0.08955986 0.000000000 0.000000000 0.00000000 0.0000000000
  < d_y2_d_x3 0.00000000 0.002626861 0.000000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x3 -0.08954085 0.000000000 0.000000000 0.00000000 0.0000000000
  > d_y2_d_x3 0.00000000 0.002626966 0.000000000 0.00000000 0.0000000000
  898c898
  < d_y4_d_x3 0.00000000 0.000000000 0.000000000 0.02834020 0.0000000000
  ---
  > d_y4_d_x3 0.00000000 0.000000000 0.000000000 0.02833467 0.0000000000
  901,902c901,902
  < d_y1_d_x1 -0.08695401 0.000000000 0.00000000 0.00000000 0.0000000000
  < d_y2_d_x1 0.00000000 -0.001373333 0.00000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x1 -0.08694042 0.000000000 0.00000000 0.00000000 0.0000000000
  > d_y2_d_x1 0.00000000 -0.001373386 0.00000000 0.00000000 0.0000000000
  904c904
  < d_y4_d_x1 0.00000000 0.000000000 0.00000000 -0.02173605 0.0000000000
  ---
  > d_y4_d_x1 0.00000000 0.000000000 0.00000000 -0.02173259 0.0000000000
  906,907c906,907
  < d_y1_d_x2 0.09858856 0.000000000 0.00000000 0.00000000 0.0000000000
  < d_y2_d_x2 0.00000000 0.002857716 0.00000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x2 0.09856437 0.000000000 0.00000000 0.00000000 0.0000000000
  > d_y2_d_x2 0.00000000 0.002857491 0.00000000 0.00000000 0.0000000000
  909c909
  < d_y4_d_x2 0.00000000 0.000000000 0.00000000 0.02870117 0.0000000000
  ---
  > d_y4_d_x2 0.00000000 0.000000000 0.00000000 0.02869167 0.0000000000
  911,912c911,912
  < d_y1_d_x3 0.09464338 0.000000000 0.00000000 0.00000000 0.0000000000
  < d_y2_d_x3 0.00000000 -0.004419614 0.00000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x3 0.09461058 0.000000000 0.00000000 0.00000000 0.0000000000
  > d_y2_d_x3 0.00000000 -0.004419619 0.00000000 0.00000000 0.0000000000
  914c914
  < d_y4_d_x3 0.00000000 0.000000000 0.00000000 -0.01641606 0.0000000000
  ---
  > d_y4_d_x3 0.00000000 0.000000000 0.00000000 -0.01640737 0.0000000000
  917,918c917,918
  < d_y1_d_x1 -0.08955986 0.000000000 0.00000000 0.00000000 0.0000000000
  < d_y2_d_x1 0.00000000 0.002626861 0.00000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x1 -0.08954085 0.000000000 0.00000000 0.00000000 0.0000000000
  > d_y2_d_x1 0.00000000 0.002626966 0.00000000 0.00000000 0.0000000000
  920c920
  < d_y4_d_x1 0.00000000 0.000000000 0.00000000 0.02834020 0.0000000000
  ---
  > d_y4_d_x1 0.00000000 0.000000000 0.00000000 0.02833467 0.0000000000
  922,923c922,923
  < d_y1_d_x2 0.09464338 0.000000000 0.00000000 0.00000000 0.0000000000
  < d_y2_d_x2 0.00000000 -0.004419614 0.00000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x2 0.09461058 0.000000000 0.00000000 0.00000000 0.0000000000
  > d_y2_d_x2 0.00000000 -0.004419619 0.00000000 0.00000000 0.0000000000
  925c925
  < d_y4_d_x2 0.00000000 0.000000000 0.00000000 -0.01641606 0.0000000000
  ---
  > d_y4_d_x2 0.00000000 0.000000000 0.00000000 -0.01640737 0.0000000000
  927,928c927,928
  < d_y1_d_x3 0.09954171 0.000000000 0.00000000 0.00000000 0.0000000000
  < d_y2_d_x3 0.00000000 0.008900257 0.00000000 0.00000000 0.0000000000
  ---
  > d_y1_d_x3 0.09949731 0.000000000 0.00000000 0.00000000 0.0000000000
  > d_y2_d_x3 0.00000000 0.008901177 0.00000000 0.00000000 0.0000000000
  930c930
  < d_y4_d_x3 0.00000000 0.000000000 0.00000000 0.03202713 0.0000000000
  ---
  > d_y4_d_x3 0.00000000 0.000000000 0.00000000 0.03202365 0.0000000000
  936c936
  < 1 -0.07707910 0 0 0 0 -0.05095924 0
  ---
  > 1 -0.07707910 0 0 0 0 -0.05112577 0
  938c938
  < 3 -0.18361795 0 0 0 0 0.20428104 0
  ---
  > 3 -0.18361795 0 0 0 0 0.20439206 0
  940c940
  < 1 0 0 0 -0.07134293 0 0 0
  ---
  > 1 0 0 0 -0.07157608 0 0 0
  942c942
  < 3 0 0 0 0.28599345 0 0 0
  ---
  > 3 0 0 0 0.28614888 0 0 0
  951,953c951,953
  < 1 0.3185510 0 0 0 0 0.000000 0
  < 2 0.3758473 0 0 0 0 0.000000 0
  < 3 0.1423506 0 0 0 0 0.204281 0
  ---
  > 1 0.3185510 0 0 0 0 0.0000000 0
  > 2 0.3758473 0 0 0 0 0.0000000 0
  > 3 0.1423506 0 0 0 0 0.2043921 0
  957c957
  < 3 0 0 0 0.2859935 0 0 0
  ---
  > 3 0 0 0 0.2861489 0 0 0
  966,972c966,972
  < 1 -0.094351126 0 0 0 0 0.3330690 0
  < 2 0.005784985 0 0 0 0 0.3009833 0
  < 3 -0.073588833 0 0 0 0 0.2241741 0
  < d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  < 1 0 0 0 -0.08758549 0 0 0
  < 2 0 0 0 -0.08230083 0 0 0
  < 3 0 0 0 0.11455281 0 0 0
  ---
  > 1 -0.094351126 0 0 0 0 0.3331245 0
  > 2 0.005784985 0 0 0 0 0.3008723 0
  > 3 -0.073588833 0 0 0 0 0.2242851 0
  > d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3
  > 1 0 0 0 -0.08750778 0 0 0
  > 2 0 0 0 -0.08245626 0 0 0
  > 3 0 0 0 0.11470824 0 0 0
  981,982c981,982
  < 1 0.082306893 0 0 0 0 0.05462297 0
  < 2 -0.003504539 0 0 0 0 0.03558265 0
  ---
  > 1 0.082306893 0 0 0 0 0.05451195 0
  > 2 -0.003504539 0 0 0 0 0.03563816 0
  985,986c985,986
  < 1 0 0 0 0.4721022 0 0 0
  < 2 0 0 0 0.4095853 0 0 0
  ---
  > 1 0 0 0 0.4719468 0 0 0
  > 2 0 0 0 0.4096631 0 0 0
  996,997c996,997
  < 1 0 0.11586074 0 0 0 0 -0.12436718
  < 2 0 -0.06729360 0 0 0 0 0.02914335
  ---
  > 1 0 0.11586074 0 0 0 0 -0.12443380
  > 2 0 -0.06729360 0 0 0 0 0.02911005
  1000,1002c1000,1002
  < 1 0 0 0 0 0.24873437 0 0
  < 2 0 0 0 0 -0.05828671 0 0
  < 3 0 0 0 0 0.16573409 0 0
  ---
  > 1 0 0 0 0 0.2488676 0 0
  > 2 0 0 0 0 -0.0582201 0 0
  > 3 0 0 0 0 0.1657341 0 0
  1026,1027c1026,1027
  < 1 0 0.14182302 0 0 0 0 -0.005785779
  < 2 0 -0.02421317 0 0 0 0 0.406416441
  ---
  > 1 0 0.14182302 0 0 0 0 -0.005852393
  > 2 0 -0.02421317 0 0 0 0 0.406449748
  1030,1031c1030,1031
  < 1 0 0 0 0 0.30442315 0 0
  < 2 0 0 0 0 -0.02091660 0 0
  ---
  > 1 0 0 0 0 0.30455638 0 0
  > 2 0 0 0 0 -0.02098322 0 0
  1061c1061
  < 2 -0.16742163 0 0 0 0 0.10302870 0
  ---
  > 2 -0.16727730 0 0 0 0 0.10293988 0
  1077c1077
  < 3 -0.07266965 0 0 0 0 0.04471978 0
  ---
  > 3 -0.07274181 0 0 0 0 0.04476419 0
  1091,1092c1091,1092
  < 2 0.31607751 0 0 0 0 0.03703704 0
  < 3 0.36572458 0 0 0 0 0.01798561 0
  ---
  > 2 0.31593318 0 0 0 0 0.03712586 0
  > 3 0.36579674 0 0 0 0 0.01794120 0
  1106c1106
  < 2 0.03651524 0 0 0 0 0.35379179 0
  ---
  > 2 0.03644307 0 0 0 0 0.35383620 0
  1120,1122c1120,1122
  < 1 0 -0.11785017 0 0 0 0 0.1885603
  < 2 0 -0.01088019 0 0 0 0 0.0174083
  < 3 0 0.05351275 0 0 0 0 -0.0856204
  ---
  > 1 0 -0.11779466 0 0 0 0 0.18847146
  > 2 0 -0.01076916 0 0 0 0 0.01723066
  > 3 0 0.05351275 0 0 0 0 -0.08562040
  1150,1152c1150,1152
  < 1 0 0.05786716 0 0 0 0 0.230748753
  < 2 0 0.39446908 0 0 0 0 0.006217249
  < 3 0 0.40521660 0 0 0 0 -0.034372505
  ---
  > 1 0 0.05781165 0 0 0 0 0.230837571
  > 2 0 0.39441357 0 0 0 0 0.006306067
  > 3 0 0.40518884 0 0 0 0 -0.034328096
  1165c1165
  < 1 0 0.12584378 0 0 0 0 0.0007350854
  ---
  > 1 0 0.12578827 0 0 0 0 0.0008239033
  1167c1167
  < 3 0 -0.05490053 0 0 0 0 0.4715746285
  ---
  > 3 0 -0.05487277 0 0 0 0 0.4715302195
  1180c1180
  < 1 0 0 -0.1643297 0 0 0 0
  ---
  > 1 0 0 -0.1642908 0 0 0 0
  1182c1182
  < 3 0 0 -0.1628336 0 0 0 0
  ---
  > 3 0 0 -0.1628725 0 0 0 0
  1184c1184
  < 1 0.2582323
  ---
  > 1 0.2581713
  1186c1186
  < 3 0.2558814
  ---
  > 3 0.2559425
  1197c1197
  < 3 0 0 -0.1628531 0 0 0 0
  ---
  > 3 0 0 -0.1628725 0 0 0 0
  1199,1201c1199,1201
  < 1 0.000000
  < 2 0.000000
  < 3 0.255912
  ---
  > 1 0.0000000
  > 2 0.0000000
  > 3 0.2559425
  1210c1210
  < 1 0 0 0.08114532 0 0 0 0
  ---
  > 1 0 0 0.08118418 0 0 0 0
  1212c1212
  < 3 0 0 0.22230621 0 0 0 0
  ---
  > 3 0 0 0.22228679 0 0 0 0
  1214c1214
  < 1 0.31618042
  ---
  > 1 0.31611935
  1216c1216
  < 3 0.10255408
  ---
  > 3 0.10258461
  1226c1226
  < 2 0 0 -0.03341771 0 0 0 0
  ---
  > 2 0 0 -0.03349543 0 0 0 0
  1230c1230
  < 2 0.362935120
  ---
  > 2 0.363057244
  1390c1390
  < d_y1_d_x2 -0.1630224 0.0000000 0.17390177 -0.2043782 0.00000000 0.000000000
  ---
  > d_y1_d_x2 -0.1629669 0.0000000 0.17390871 -0.2043574 0.00000000 0.000000000
  1395c1395
  < d_y1_d_x3 -0.2282313 0.0000000 0.10784984 -0.1892633 0.00000000 0.000000000
  ---
  > d_y1_d_x3 -0.2281536 0.0000000 0.10785955 -0.1892341 0.00000000 0.000000000
  1407c1407
  < d_y2_d_x2 0.007437446 0.04138356 0.00000000 0.000000000 0.00000000
  ---
  > d_y2_d_x2 0.007428078 0.04138252 0.00000000 0.000000000 0.00000000
  1412c1412
  < d_y2_d_x3 0.031191716 -0.05973382 0.00000000 0.000000000 0.00000000
  ---
  > d_y2_d_x3 0.031210451 -0.05973174 0.00000000 0.000000000 0.00000000
  1425c1425
  < d_y4_d_x2 0.00000000 0.09390405 0.00000000 0.07759313 0.11773915 0.00000000
  ---
  > d_y4_d_x2 0.00000000 0.09390405 0.00000000 0.07757925 0.11770793 0.00000000
  1430c1430
  < d_y4_d_x3 0.00000000 -0.15024648 0.00000000 0.07102097 -0.06640141 0.00000000
  ---
  > d_y4_d_x3 0.00000000 -0.15024648 0.00000000 0.07104317 -0.06635145 0.00000000
  1471,1472c1471,1472
  < 1: d_y1_d_x2 -0.395630 0.341344 -1.159 0.246
  < 1: d_y2_d_x2 0.087855 0.182054 0.483 0.629
  ---
  > 1: d_y1_d_x2 -0.395630 0.341405 -1.159 0.247
  > 1: d_y2_d_x2 0.087855 0.182102 0.482 0.629
  1474,1477c1474,1477
  < 1: d_y4_d_x2 0.101043 0.181862 0.556 0.578
  < 1: d_y5_d_x2 -0.197646 0.253724 -0.779 0.436
  < 1: d_y1_d_x3 -0.553882 0.485429 -1.141 0.254
  < 1: d_y2_d_x3 -0.175711 0.410801 -0.428 0.669
  ---
  > 1: d_y4_d_x2 0.101043 0.181770 0.556 0.578
  > 1: d_y5_d_x2 -0.197646 0.253711 -0.779 0.436
  > 1: d_y1_d_x3 -0.553882 0.485298 -1.141 0.254
  > 1: d_y2_d_x3 -0.175711 0.410981 -0.428 0.669
  1479,1480c1479,1480
  < 1: d_y4_d_x3 -0.161668 0.297994 -0.543 0.587
  < 1: d_y5_d_x3 0.310586 0.408287 0.761 0.447
  ---
  > 1: d_y4_d_x3 -0.161668 0.298007 -0.542 0.587
  > 1: d_y5_d_x3 0.310586 0.408201 0.761 0.447
  1486,1495c1486,1495
  < 2: d_y1_d_x2 -0.359770 0.344359 -1.045 0.296
  < 2: d_y2_d_x2 0.237575 0.407510 0.583 0.560
  < 2: d_y3_d_x2 -0.489142 0.359539 -1.360 0.174
  < 2: d_y4_d_x2 0.199177 0.394626 0.505 0.614
  < 2: d_y5_d_x2 -0.217295 0.398312 -0.546 0.585
  < 2: d_y1_d_x3 -0.503677 0.476357 -1.057 0.290
  < 2: d_y2_d_x3 -0.475150 0.413346 -1.150 0.250
  < 2: d_y3_d_x3 0.301010 0.370345 0.813 0.416
  < 2: d_y4_d_x3 -0.318684 0.394968 -0.807 0.420
  < 2: d_y5_d_x3 0.341464 0.444785 0.768 0.443
  ---
  > 2: d_y1_d_x2 -0.359770 0.344267 -1.045 0.296
  > 2: d_y2_d_x2 0.237575 0.407541 0.583 0.560
  > 2: d_y3_d_x2 -0.489142 0.359338 -1.361 0.173
  > 2: d_y4_d_x2 0.199177 0.394568 0.505 0.614
  > 2: d_y5_d_x2 -0.217295 0.398318 -0.546 0.585
  > 2: d_y1_d_x3 -0.503677 0.476451 -1.057 0.290
  > 2: d_y2_d_x3 -0.475150 0.413340 -1.150 0.250
  > 2: d_y3_d_x3 0.301010 0.370371 0.813 0.416
  > 2: d_y4_d_x3 -0.318684 0.394962 -0.807 0.420
  > 2: d_y5_d_x3 0.341464 0.444884 0.768 0.443
  1501c1501
  < 3: d_y1_d_x2 -0.142351 0.421488 -0.338 0.736
  ---
  > 3: d_y1_d_x2 -0.142351 0.421654 -0.338 0.736
  1503,1506c1503,1506
  < 3: d_y3_d_x2 -0.513437 0.387217 -1.326 0.185
  < 3: d_y4_d_x2 0.191867 0.415859 0.461 0.645
  < 3: d_y5_d_x2 -0.201298 0.361083 -0.557 0.577
  < 3: d_y1_d_x3 -0.199291 0.446698 -0.446 0.655
  ---
  > 3: d_y3_d_x2 -0.513437 0.387299 -1.326 0.185
  > 3: d_y4_d_x2 0.191867 0.415828 0.461 0.645
  > 3: d_y5_d_x2 -0.201298 0.361097 -0.557 0.577
  > 3: d_y1_d_x3 -0.199291 0.446937 -0.446 0.656
  1508,1510c1508,1510
  < 3: d_y3_d_x3 0.315961 0.355150 0.890 0.374
  < 3: d_y4_d_x3 -0.306987 0.488076 -0.629 0.529
  < 3: d_y5_d_x3 0.316325 0.376971 0.839 0.401
  ---
  > 3: d_y3_d_x3 0.315961 0.355154 0.890 0.374
  > 3: d_y4_d_x3 -0.306987 0.488030 -0.629 0.529
  > 3: d_y5_d_x3 0.316325 0.377041 0.839 0.401
  1516,1525c1516,1525
  < 4: d_y1_d_x2 -0.169199 0.402258 -0.421 0.674
  < 4: d_y2_d_x2 0.236362 0.402580 0.587 0.557
  < 4: d_y3_d_x2 -0.463737 0.516748 -0.897 0.369
  < 4: d_y4_d_x2 0.160268 0.372618 0.430 0.667
  < 4: d_y5_d_x2 -0.268580 0.393960 -0.682 0.495
  < 4: d_y1_d_x3 -0.236878 0.443836 -0.534 0.594
  < 4: d_y2_d_x3 -0.472723 0.461244 -1.025 0.305
  < 4: d_y3_d_x3 0.285376 0.493804 0.578 0.563
  < 4: d_y4_d_x3 -0.256429 0.505126 -0.508 0.612
  < 4: d_y5_d_x3 0.422054 0.341507 1.236 0.217
  ---
  > 4: d_y1_d_x2 -0.169199 0.402302 -0.421 0.674
  > 4: d_y2_d_x2 0.236362 0.402577 0.587 0.557
  > 4: d_y3_d_x2 -0.463737 0.516687 -0.898 0.369
  > 4: d_y4_d_x2 0.160268 0.372650 0.430 0.667
  > 4: d_y5_d_x2 -0.268580 0.393918 -0.682 0.495
  > 4: d_y1_d_x3 -0.236878 0.443856 -0.534 0.594
  > 4: d_y2_d_x3 -0.472723 0.461233 -1.025 0.305
  > 4: d_y3_d_x3 0.285376 0.493780 0.578 0.563
  > 4: d_y4_d_x3 -0.256429 0.505186 -0.508 0.612
  > 4: d_y5_d_x3 0.422054 0.341563 1.236 0.217
  1531,1534c1531,1534
  < 5: d_y1_d_x2 -0.074644 0.211345 -0.353 0.724
  < 5: d_y2_d_x2 0.189509 0.315711 0.600 0.548
  < 5: d_y3_d_x2 -0.188546 0.414723 -0.455 0.649
  < 5: d_y4_d_x2 0.111581 0.242966 0.459 0.646
  ---
  > 5: d_y1_d_x2 -0.074644 0.211300 -0.353 0.724
  > 5: d_y2_d_x2 0.189509 0.315556 0.601 0.548
  > 5: d_y3_d_x2 -0.188546 0.414815 -0.455 0.649
  > 5: d_y4_d_x2 0.111581 0.242940 0.459 0.646
  1536,1539c1536,1539
  < 5: d_y1_d_x3 -0.104501 0.294250 -0.355 0.722
  < 5: d_y2_d_x3 -0.379017 0.619369 -0.612 0.541
  < 5: d_y3_d_x3 0.116028 0.352835 0.329 0.742
  < 5: d_y4_d_x3 -0.178529 0.451115 -0.396 0.692
  ---
  > 5: d_y1_d_x3 -0.104501 0.294226 -0.355 0.722
  > 5: d_y2_d_x3 -0.379017 0.619104 -0.612 0.540
  > 5: d_y3_d_x3 0.116028 0.352853 0.329 0.742
  > 5: d_y4_d_x3 -0.178529 0.451102 -0.396 0.692
  1546,1555c1546,1555
  < 6: d_y1_d_x2 -0.248150 0.863747 -0.287 0.774
  < 6: d_y2_d_x2 0.032643 0.156261 0.209 0.835
  < 6: d_y3_d_x2 -0.024409 0.159912 -0.153 0.879
  < 6: d_y4_d_x2 0.127897 0.268445 0.476 0.634
  < 6: d_y5_d_x2 -0.012081 0.076149 -0.159 0.874
  < 6: d_y1_d_x3 -0.347410 0.836314 -0.415 0.678
  < 6: d_y2_d_x3 -0.065286 0.339928 -0.192 0.848
  < 6: d_y3_d_x3 0.015021 0.095311 0.158 0.875
  < 6: d_y4_d_x3 -0.204635 0.444976 -0.460 0.646
  < 6: d_y5_d_x3 0.018984 0.125392 0.151 0.880
  ---
  > 6: d_y1_d_x2 -0.248150 0.863787 -0.287 0.774
  > 6: d_y2_d_x2 0.032643 0.156207 0.209 0.834
  > 6: d_y3_d_x2 -0.024409 0.159927 -0.153 0.879
  > 6: d_y4_d_x2 0.127897 0.268528 0.476 0.634
  > 6: d_y5_d_x2 -0.012081 0.076150 -0.159 0.874
  > 6: d_y1_d_x3 -0.347410 0.836443 -0.415 0.678
  > 6: d_y2_d_x3 -0.065286 0.339785 -0.192 0.848
  > 6: d_y3_d_x3 0.015021 0.095323 0.158 0.875
  > 6: d_y4_d_x3 -0.204635 0.445135 -0.460 0.646
  > 6: d_y5_d_x3 0.018984 0.125393 0.151 0.880
  1561,1564c1561,1564
  < 7: d_y1_d_x2 -0.177934 0.377416 -0.471 0.637
  < 7: d_y2_d_x2 0.046807 0.183743 0.255 0.799
  < 7: d_y3_d_x2 -0.245498 0.598351 -0.410 0.682
  < 7: d_y4_d_x2 0.045342 0.182296 0.249 0.804
  ---
  > 7: d_y1_d_x2 -0.177934 0.377351 -0.472 0.637
  > 7: d_y2_d_x2 0.046807 0.183720 0.255 0.799
  > 7: d_y3_d_x2 -0.245498 0.598363 -0.410 0.682
  > 7: d_y4_d_x2 0.045342 0.182317 0.249 0.804
  1566,1569c1566,1569
  < 7: d_y1_d_x3 -0.249107 0.482640 -0.516 0.606
  < 7: d_y2_d_x3 -0.093614 0.261519 -0.358 0.720
  < 7: d_y3_d_x3 0.151075 0.279077 0.541 0.588
  < 7: d_y4_d_x3 -0.072547 0.187714 -0.386 0.699
  ---
  > 7: d_y1_d_x3 -0.249107 0.482547 -0.516 0.606
  > 7: d_y2_d_x3 -0.093614 0.261485 -0.358 0.720
  > 7: d_y3_d_x3 0.151075 0.279146 0.541 0.588
  > 7: d_y4_d_x3 -0.072547 0.187751 -0.386 0.699
  1576,1577c1576,1577
  < 8: d_y1_d_x2 -0.159973 0.344031 -0.465 0.642
  < 8: d_y2_d_x2 0.034789 0.103035 0.338 0.736
  ---
  > 8: d_y1_d_x2 -0.159973 0.343860 -0.465 0.642
  > 8: d_y2_d_x2 0.034789 0.103021 0.338 0.736
  1579c1579
  < 8: d_y4_d_x2 0.074235 0.119898 0.619 0.536
  ---
  > 8: d_y4_d_x2 0.074235 0.119894 0.619 0.536
  1581,1582c1581,1582
  < 8: d_y1_d_x3 -0.223963 0.699386 -0.320 0.749
  < 8: d_y2_d_x3 -0.069578 0.303767 -0.229 0.819
  ---
  > 8: d_y1_d_x3 -0.223963 0.699122 -0.320 0.749
  > 8: d_y2_d_x3 -0.069578 0.303754 -0.229 0.819
  1584c1584
  < 8: d_y4_d_x3 -0.118777 0.388395 -0.306 0.760
  ---
  > 8: d_y4_d_x3 -0.118777 0.388385 -0.306 0.760
  1591,1600c1591,1600
  < 9: d_y1_d_x2 -0.353459 0.543587 -0.650 0.516
  < 9: d_y2_d_x2 0.118393 0.234756 0.504 0.614
  < 9: d_y3_d_x2 -0.162800 0.378591 -0.430 0.667
  < 9: d_y4_d_x2 0.125679 0.247484 0.508 0.612
  < 9: d_y5_d_x2 -0.240994 0.321018 -0.751 0.453
  < 9: d_y1_d_x3 -0.494842 0.307003 -1.612 0.107
  < 9: d_y2_d_x3 -0.236786 0.364438 -0.650 0.516
  < 9: d_y3_d_x3 0.100185 0.192467 0.521 0.603
  < 9: d_y4_d_x3 -0.201086 0.238264 -0.844 0.399
  < 9: d_y5_d_x3 0.378705 0.274212 1.381 0.167
  ---
  > 9: d_y1_d_x2 -0.353459 0.543521 -0.650 0.515
  > 9: d_y2_d_x2 0.118393 0.234615 0.505 0.614
  > 9: d_y3_d_x2 -0.162800 0.378572 -0.430 0.667
  > 9: d_y4_d_x2 0.125679 0.247525 0.508 0.612
  > 9: d_y5_d_x2 -0.240994 0.321004 -0.751 0.453
  > 9: d_y1_d_x3 -0.494842 0.307202 -1.611 0.107
  > 9: d_y2_d_x3 -0.236786 0.364435 -0.650 0.516
  > 9: d_y3_d_x3 0.100185 0.192420 0.521 0.603
  > 9: d_y4_d_x3 -0.201086 0.238129 -0.844 0.398
  > 9: d_y5_d_x3 0.378705 0.274290 1.381 0.167
  1606,1607c1606,1607
  < 10: d_y1_d_x2 -0.096866 0.313988 -0.309 0.758
  < 10: d_y2_d_x2 0.013820 0.053458 0.259 0.796
  ---
  > 10: d_y1_d_x2 -0.096866 0.313950 -0.309 0.758
  > 10: d_y2_d_x2 0.013820 0.053456 0.259 0.796
  1609c1609
  < 10: d_y4_d_x2 0.060991 0.169414 0.360 0.719
  ---
  > 10: d_y4_d_x2 0.060991 0.169386 0.360 0.719
  1611,1612c1611,1612
  < 10: d_y1_d_x3 -0.135613 0.315502 -0.430 0.667
  < 10: d_y2_d_x3 -0.027640 0.094341 -0.293 0.770
  ---
  > 10: d_y1_d_x3 -0.135613 0.315432 -0.430 0.667
  > 10: d_y2_d_x3 -0.027640 0.094346 -0.293 0.770
  1614c1614
  < 10: d_y4_d_x3 -0.097585 0.178961 -0.545 0.586
  ---
  > 10: d_y4_d_x3 -0.097585 0.178952 -0.545 0.586
  1639,1659c1639,1659
  < 1 -1.531435e-01 0.077935542 -1.944982e-02 2.593001e-05 -1.090487e-01
  < 2 -4.137112e-01 0.359684280 -6.716675e-01 2.251131e-01 -4.229616e-01
  < 3 -1.746198e-02 0.193425397 -9.476729e-01 4.743547e-01 -4.218207e-01
  < 4 -9.915757e-03 0.304400469 -4.505573e-01 6.900180e-01 -4.797086e-01
  < 5 6.220497e-05 0.274378118 -8.324586e-03 2.080557e-01 -2.374979e-01
  < 6 -1.075015e-02 0.009675402 -7.673353e-04 -4.701646e-05 -4.797448e-04
  < 7 -4.005841e-01 0.153215835 -6.413458e-03 2.053763e-01 -2.556272e-02
  < 8 -2.743934e-05 0.029831622 -4.701151e-06 6.862575e-02 -6.524545e-05
  < 9 -8.560854e-02 0.120954712 -9.343223e-02 8.113101e-05 -2.409296e-01
  < 10 -5.543774e-01 0.066425617 -8.285254e-04 2.539360e-01 -2.282133e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -3.632295e-01 -0.08943891 0.0197709275 1.591549e-05 1.420249e-01
  < 2 -3.768491e-01 -0.31931165 0.6044471221 -1.631424e-01 5.241591e-01
  < 3 -1.135030e-02 -0.41175299 0.7904932500 -4.635800e-01 5.500869e-01
  < 4 -3.314625e-03 -0.58210715 0.3636302271 -7.025071e-01 7.061239e-01
  < 5 -1.089363e-04 -0.51893323 0.0062798673 -2.654331e-01 3.940516e-01
  < 6 -3.301153e-02 -0.01901206 0.0006541076 -6.812468e-05 5.968163e-04
  < 7 -1.334499e-01 -0.13121740 0.0047171420 -1.176622e-01 3.699710e-02
  < 8 9.799939e-07 -0.05810581 0.0000087228 -1.066800e-01 1.091348e-04
  < 9 -1.744345e-01 -0.17772451 0.0852122843 8.664254e-05 3.140598e-01
  < 10 -1.859217e-01 -0.04826082 0.0003932129 -1.184161e-01 -6.966058e-05
  ---
  > 1 -1.531435e-01 0.077935542 -1.944982e-02 2.592913e-05 -0.1090486631
  > 2 -4.137112e-01 0.359684280 -6.716675e-01 2.251131e-01 -0.4229615792
  > 3 -1.746198e-02 0.193425397 -9.476729e-01 4.743547e-01 -0.4218206775
  > 4 -9.915757e-03 0.304400469 -4.505573e-01 6.900180e-01 -0.4797086108
  > 5 6.220466e-05 0.274378118 -8.324586e-03 2.080557e-01 -0.2374978839
  > 6 -1.075014e-02 0.009675403 -7.673353e-04 -4.701639e-05 -0.0004797448
  > 7 -4.005841e-01 0.153215835 -6.413458e-03 2.053763e-01 -0.0255627164
  > 8 -2.743912e-05 0.029831622 -4.700973e-06 6.862575e-02 -0.0000652451
  > 9 -8.560854e-02 0.120954713 -9.343223e-02 8.113135e-05 -0.2409295695
  > 10 -5.543774e-01 0.066425617 -8.285249e-04 2.539360e-01 -0.0002282124
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -3.632295e-01 -0.08943891 1.977093e-02 1.591529e-05 1.420249e-01
  > 2 -3.768491e-01 -0.31931165 6.044471e-01 -1.631424e-01 5.241591e-01
  > 3 -1.135030e-02 -0.41175299 7.904933e-01 -4.635800e-01 5.500869e-01
  > 4 -3.314625e-03 -0.58210715 3.636302e-01 -7.025071e-01 7.061239e-01
  > 5 -1.089357e-04 -0.51893323 6.279867e-03 -2.654331e-01 3.940516e-01
  > 6 -3.301153e-02 -0.01901206 6.541076e-04 -6.812517e-05 5.968163e-04
  > 7 -1.334499e-01 -0.13121740 4.717143e-03 -1.176622e-01 3.699710e-02
  > 8 9.803047e-07 -0.05810581 8.723178e-06 -1.066800e-01 1.091348e-04
  > 9 -1.744345e-01 -0.17772451 8.521228e-02 8.664152e-05 3.140598e-01
  > 10 -1.859217e-01 -0.04826082 3.932133e-04 -1.184161e-01 -6.966002e-05
  1673,1683c1673,1683
  < 1 0.681209657 0.032844570 0.046417164 0.0003190126 -0.020617448
  < 5 0.009424934 0.001570433 -0.006289361 -0.0120181765 -0.004297131
  < 10 3.544598354 -0.117497119 0.001242509 -0.7858824681 0.001406433
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.1178996280 -0.154098983 -0.028493871 -0.0009675808 -0.074572771
  < 5 -0.0002233085 0.005868063 0.001883167 0.0071532693 -0.004542404
  < 10 -4.2030431881 0.175532609 -0.002259086 0.6974615676 -0.002836556
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -1.5147470962 0.31930217 0.020879078 0.0002629859 0.0639336294
  < 5 -0.0002264411 -0.01587714 -0.001395352 -0.0073768964 0.0095845622
  < 10 -3.0998808145 -0.20031677 -0.001398460 -0.1945156367 0.0006132629
  ---
  > 1 0.681209658 0.032844571 0.046417164 0.000319013 -0.020617448
  > 5 0.009424934 0.001570433 -0.006289361 -0.012018177 -0.004297131
  > 10 3.544598352 -0.117497119 0.001242507 -0.785882468 0.001406431
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -1.1169015671 -0.153338794 -0.0284885140 0.0006198739 -0.074524063
  > 5 -0.0002997922 0.005847894 0.0017699012 0.0071335723 -0.004616638
  > 10 -4.2035764600 0.175564067 -0.0009123462 0.6975300569 -0.003387241
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -1.515514e+00 0.31855628 0.0208738743 -9.676582e-05 0.063874324
  > 5 -9.746379e-05 -0.01584764 -0.0013130029 -7.346336e-03 0.009786269
  > 10 -3.097683e+00 -0.20027033 -0.0009304087 -1.941095e-01 0.003315277
  1688,1698c1688,1698
  < 1 0.032844570 0.13376346 1.441998e-02 -0.000159383 -1.836871e-03
  < 5 0.001570433 0.24735075 1.133995e-01 -0.042254836 -8.146955e-02
  < 10 -0.117497119 0.02083594 -3.859285e-05 0.060698214 -4.583745e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -3.775858e-02 -0.13980067 -6.134223e-03 -0.000184028 0.0024027494
  < 5 -2.020171e-05 0.09603681 -1.657626e-02 0.066842294 -0.0884966265
  < 10 1.544426e-01 -0.05362480 8.735891e-05 -0.071586472 0.0001569731
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.184185597 0.16964664 6.442514e-03 0.0001506161 -0.0037924016
  < 5 -0.000418075 -0.15273851 1.265321e-02 -0.0459521738 0.1387131399
  < 10 0.117276664 0.03112504 -6.930444e-05 0.0133541106 -0.0001032048
  ---
  > 1 0.032844571 0.13376346 1.441998e-02 -0.0001593828 -1.836871e-03
  > 5 0.001570433 0.24735075 1.133995e-01 -0.0422548363 -8.146955e-02
  > 10 -0.117497119 0.02083594 -3.859274e-05 0.0606982137 -4.583743e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -3.754151e-02 -0.13973248 -6.134243e-03 9.045735e-05 0.0024164612
  > 5 -5.288428e-05 0.09608458 -1.627438e-02 6.687077e-02 -0.0883013200
  > 10 1.544938e-01 -0.05362981 -1.354113e-06 -7.159093e-02 0.0001490507
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.184241048 0.1698549 0.0064438973 -3.305815e-05 -0.0037879221
  > 5 0.000110006 -0.1527111 0.0126377901 -4.588116e-02 0.1386856608
  > 10 0.117197378 0.0311304 0.0001222085 1.335595e-02 -0.0001311109
  1705c1705
  < 10 0.001242509 -3.859285e-05 7.615532e-06 -0.0007212932 3.307958e-07
  ---
  > 10 0.001242507 -3.859274e-05 7.615531e-06 -0.0007212926 3.307953e-07
  1707,1713c1707,1713
  < 1 -0.097156053 -1.557318e-02 -3.535008e-02 0.0001018069 -1.185232e-01
  < 5 0.001274303 -2.458109e-02 -1.084588e-01 0.1404510290 -3.582966e-02
  < 10 -0.001548831 5.009356e-05 -5.495547e-05 0.0010719368 -3.138655e-06
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1102510739 3.377621e-02 3.571478e-02 -0.0004816338 1.661882e-01
  < 5 -0.0007833522 4.930771e-02 8.192979e-02 -0.2028228710 5.091311e-02
  < 10 -0.0011852008 -6.643616e-05 4.436648e-05 -0.0002333833 3.884367e-06
  ---
  > 1 -0.097225921 -1.565141e-02 -3.534945e-02 0.0001712073 -1.185206e-01
  > 5 0.001204782 -2.453862e-02 -1.078506e-01 0.1404522502 -3.539889e-02
  > 10 -0.001550243 5.006915e-05 -5.506783e-05 0.0010717282 -4.851751e-06
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.1098751936 3.410170e-02 3.571570e-02 -4.726227e-05 1.661989e-01
  > 5 -0.0009524318 4.912317e-02 8.154297e-02 -2.028733e-01 5.072993e-02
  > 10 -0.0011853488 -6.641933e-05 4.272653e-05 -2.333415e-04 2.984698e-06
  1718,1728c1718,1728
  < 1 0.0003190126 -0.000159383 -0.0012667456 9.883137e-05 0.0006512071
  < 5 -0.0120181765 -0.042254836 -0.0071332395 4.199896e-01 0.0019320786
  < 10 -0.7858824681 0.060698214 -0.0007212932 5.208348e-01 -0.0004198404
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0002057738 -2.542823e-06 0.0006169396 -4.963927e-06 0.002298469
  < 5 0.0011179216 -1.096764e-02 -0.0519661549 -9.791711e-02 0.001540331
  < 10 1.0214661607 -1.333779e-01 0.0036999278 -7.372239e-01 0.001230014
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0009334406 -0.0001246211 -0.0006330902 7.332686e-06 -0.0033053023
  < 5 -0.0003870528 0.0141468606 0.0368608510 1.494390e-01 -0.0173719240
  < 10 0.7714145074 0.0967016135 -0.0019623390 1.281644e-01 -0.0009512649
  ---
  > 1 0.000319013 -0.0001593828 -0.0012667456 9.883137e-05 0.0006512071
  > 5 -0.012018177 -0.0422548363 -0.0071332395 4.199896e-01 0.0019320785
  > 10 -0.785882468 0.0606982137 -0.0007212926 5.208348e-01 -0.0004198399
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0002041637 1.116733e-05 0.0006169258 -7.709117e-06 0.0022984766
  > 5 0.0014097311 -1.104164e-02 -0.0522346362 -9.793466e-02 0.0011544358
  > 10 1.0211451060 -1.334073e-01 0.0027967372 -7.373045e-01 0.0004213342
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0009371763 -0.0001439648 -0.0006331272 3.662629e-06 -0.0033054727
  > 5 -0.0002727514 0.0142905810 0.0369909200 1.494160e-01 -0.0172465989
  > 10 0.7708771208 0.0967034450 -0.0011722083 1.281425e-01 -0.0007989053
  1734,1735c1734,1735
  < 5 -0.004297131 -8.146955e-02 1.875787e-02 0.0019320786 2.114720e-01
  < 10 0.001406433 -4.583745e-05 3.307958e-07 -0.0004198404 7.352709e-07
  ---
  > 5 -0.004297131 -8.146955e-02 1.875787e-02 0.0019320785 2.114720e-01
  > 10 0.001406431 -4.583743e-05 3.307953e-07 -0.0004198399 7.352687e-07
  1737,1743c1737,1743
  < 1 0.0460276339 -9.683682e-03 2.154246e-02 -0.0001452241 1.090352e-01
  < 5 0.0002351045 -2.697849e-02 -4.160330e-03 0.0190410097 2.393355e-01
  < 10 -0.0017021267 6.445792e-05 1.019775e-06 0.0004838708 -5.492092e-07
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0313809044 9.256147e-03 -2.146666e-02 3.627157e-04 -1.550564e-01
  < 5 0.0005524273 8.698010e-02 3.464635e-03 -4.917148e-02 -4.237882e-01
  < 10 -0.0012565312 -7.923501e-05 -2.752287e-06 -9.594659e-05 -1.869047e-07
  ---
  > 1 0.0460698877 -9.702575e-03 2.154187e-02 -0.0001684079 1.090350e-01
  > 5 0.0002824631 -2.709406e-02 -4.243048e-03 0.0190275575 2.392568e-01
  > 10 -0.0017023111 6.447466e-05 1.432985e-06 0.0004838769 -8.068193e-07
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.031160190 9.090536e-03 -2.146734e-02 -4.994463e-06 -1.550631e-01
  > 5 -0.000687166 8.671953e-02 2.602261e-03 -4.935279e-02 -4.245459e-01
  > 10 -0.001255453 -7.920541e-05 -2.369264e-06 -9.581532e-05 8.653899e-07
  1748,1758c1748,1758
  < 1 -1.1178996280 -3.775858e-02 -0.097156053 -0.0002057738 0.0460276339
  < 5 -0.0002233085 -2.020171e-05 0.001274303 0.0011179216 0.0002351045
  < 10 -4.2030431881 1.544426e-01 -0.001548831 1.0214661607 -0.0017021267
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 1.977454e+00 0.1886772126 0.0557316855 0.0015677705 0.1700905112
  < 5 2.446576e-05 -0.0001483773 -0.0004319218 0.0004130066 0.0001324515
  < 10 5.238521e+00 -0.2748070757 0.0029734582 -1.0994421986 0.0029261558
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 2.470370e+00 -0.5169074220 -0.045887607 -0.0002543879 -0.1595378403
  < 5 -5.993519e-06 -0.0005019873 0.000322695 -0.0005750791 -0.0002592091
  < 10 3.766267e+00 0.2504558971 0.001608784 0.2143498292 -0.0004495316
  ---
  > 1 -1.1169015671 -3.754151e-02 -0.097225921 -0.0002041637 0.0460698877
  > 5 -0.0002997922 -5.288428e-05 0.001204782 0.0014097311 0.0002824631
  > 10 -4.2035764600 1.544938e-01 -0.001550243 1.0211451060 -0.0017023111
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 1.974272e+00 0.1868057844 0.0557594426 -1.156332e-03 1.702182e-01
  > 5 3.841992e-05 -0.0001288171 -0.0004347567 5.644131e-05 -3.730395e-05
  > 10 5.239858e+00 -0.2750002811 0.0012735115 -1.098837e+00 3.583338e-03
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 2.469028e+00 -0.5146228431 -0.0459112140 -2.784437e-05 -0.159840294
  > 5 -1.929414e-05 0.0002852799 0.0003084255 -1.574826e-04 -0.000260798
  > 10 3.764316e+00 0.2504556141 0.0018073845 2.137223e-01 -0.003163122
  1763,1773c1763,1773
  < 1 -0.154098983 -0.13980067 -1.557318e-02 -2.542823e-06 -9.683682e-03
  < 5 0.005868063 0.09603681 -2.458109e-02 -1.096764e-02 -2.697849e-02
  < 10 0.175532609 -0.05362480 5.009356e-05 -1.333779e-01 6.445792e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.1886772126 0.2685846 1.024432e-02 0.0002007524 -0.0306174314
  < 5 -0.0001483773 0.2359320 8.091046e-03 0.0044396116 -0.0672364831
  < 10 -0.2748070757 0.1493717 -9.759835e-05 0.1748072586 -0.0002261489
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.4809999916 -0.35488804 -0.0097105722 -0.0005000934 0.0476206465
  < 5 -0.0001059908 -0.29895556 -0.0056096755 0.0081262479 0.0937296891
  < 10 -0.2009853033 -0.07732207 0.0002027805 -0.0251148669 0.0002333807
  ---
  > 1 -0.153338794 -0.13973248 -1.565141e-02 1.116733e-05 -9.702575e-03
  > 5 0.005847894 0.09608458 -2.453862e-02 -1.104164e-02 -2.709406e-02
  > 10 0.175564067 -0.05362981 5.006915e-05 -1.334073e-01 6.447466e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.1868057844 0.2684995 1.026219e-02 -0.0002490298 -0.0307401253
  > 5 -0.0001288171 0.2361919 8.223101e-03 0.0044956963 -0.0672869196
  > 10 -0.2750002811 0.1493929 8.584094e-05 0.1748555181 -0.0002050709
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.4798411614 -0.35467002 -0.0097276934 -9.552450e-06 0.0477033508
  > 5 -0.0002765534 -0.29912745 -0.0061185443 8.018592e-03 0.0934479358
  > 10 -0.2008905358 -0.07734526 -0.0004173537 -2.514560e-02 0.0001184889
  1778,1788c1778,1788
  < 1 -0.028493871 -6.134223e-03 -3.535008e-02 0.0006169396 2.154246e-02
  < 5 0.001883167 -1.657626e-02 -1.084588e-01 -0.0519661549 -4.160330e-03
  < 10 -0.002259086 8.735891e-05 -5.495547e-05 0.0036999278 1.019775e-06
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0557316855 1.024432e-02 0.0227211275 -6.523607e-05 7.166196e-02
  < 5 -0.0004319218 8.091046e-03 0.0323914096 -2.482545e-02 8.820130e-03
  < 10 0.0029734582 -9.759835e-05 0.0004300124 -6.085841e-03 3.303845e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0637824032 -0.0225103657 -0.0230529891 0.000333493 -9.942339e-02
  < 5 0.0002758713 -0.0124293397 -0.0240768448 0.034557238 -1.158896e-02
  < 10 0.0024670904 0.0001529827 -0.0003421744 0.001589263 -2.987438e-05
  ---
  > 1 -0.0284885140 -6.134243e-03 -3.534945e-02 0.0006169258 2.154187e-02
  > 5 0.0017699012 -1.627438e-02 -1.078506e-01 -0.0522346362 -4.243048e-03
  > 10 -0.0009123462 -1.354113e-06 -5.506783e-05 0.0027967372 1.432985e-06
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.0557594426 1.026219e-02 0.0227206625 -8.911402e-05 7.165823e-02
  > 5 -0.0004347567 8.223101e-03 0.0321679011 -2.421288e-02 8.431925e-03
  > 10 0.0012735115 8.584094e-05 0.0004341852 -4.835943e-03 3.819636e-05
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.0634876756 -2.274560e-02 -0.02305357 1.125424e-05 -9.942958e-02
  > 5 0.0002800357 -1.169504e-02 -0.02395206 3.391614e-02 -1.140720e-02
  > 10 0.0013424380 -6.201132e-06 -0.00033604 1.276604e-03 -1.893333e-05
  1793,1803c1793,1803
  < 1 -0.0009675808 -0.000184028 0.0001018069 -4.963927e-06 -0.0001452241
  < 5 0.0071532693 0.066842294 0.1404510290 -9.791711e-02 0.0190410097
  < 10 0.6974615676 -0.071586472 0.0010719368 -7.372239e-01 0.0004838708
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0015677705 0.0002007524 -6.523607e-05 1.075384e-05 -0.0004546412
  < 5 0.0004130066 0.0044396116 -2.482545e-02 3.205727e-01 -0.0025188783
  < 10 -1.0994421986 0.1748072586 -6.085841e-03 1.251005e+00 -0.0010239044
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0028202862 -0.0001836298 0.000070128 -6.685747e-06 0.0007102314
  < 5 -0.0007517452 -0.0080006146 0.018930486 -3.577384e-01 0.0035472898
  < 10 -0.7895219107 -0.1075800106 0.003656782 -1.506665e-01 0.0010185124
  ---
  > 1 0.0006198739 9.045735e-05 0.0001712073 -7.709117e-06 -0.0001684079
  > 5 0.0071335723 6.687077e-02 0.1404522502 -9.793466e-02 0.0190275575
  > 10 0.6975300569 -7.159093e-02 0.0010717282 -7.373045e-01 0.0004838769
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -1.156332e-03 -0.0002490298 -8.911402e-05 9.134152e-06 -0.0005579779
  > 5 5.644131e-05 0.0044956963 -2.421288e-02 3.205547e-01 -0.0021255545
  > 10 -1.098837e+00 0.1748555181 -4.835943e-03 1.251214e+00 0.0002253370
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0010053706 0.0005433265 8.792193e-05 -3.383598e-06 0.0007272656
  > 5 0.0002159737 -0.0077237630 1.971415e-02 -3.576507e-01 0.0042441115
  > 10 -0.7890623250 -0.1075936295 2.153961e-03 -1.506817e-01 0.0003322047
  1808,1818c1808,1818
  < 1 -0.074572771 0.0024027494 -1.185232e-01 0.002298469 1.090352e-01
  < 5 -0.004542404 -0.0884966265 -3.582966e-02 0.001540331 2.393355e-01
  < 10 -0.002836556 0.0001569731 -3.138655e-06 0.001230014 -5.492092e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.1700905112 -0.0306174314 7.166196e-02 -0.0004546412 3.800938e-01
  < 5 0.0001324515 -0.0672364831 8.820130e-03 -0.0025188783 3.510542e-01
  < 10 0.0029261558 -0.0002261489 3.303845e-05 -0.0010239044 2.685567e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.1152031355 0.020389077 -7.073599e-02 0.0011300219 -5.234584e-01
  < 5 0.0008340232 0.118654357 -6.172653e-03 -0.0250415334 -5.641714e-01
  < 10 0.0022558656 0.000313378 -1.069879e-05 0.0005355636 -1.824455e-06
  ---
  > 1 -0.074524063 0.0024164612 -1.185206e-01 0.0022984766 1.090350e-01
  > 5 -0.004616638 -0.0883013200 -3.539889e-02 0.0011544358 2.392568e-01
  > 10 -0.003387241 0.0001490507 -4.851751e-06 0.0004213342 -8.068193e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 1.702182e-01 -0.0307401253 7.165823e-02 -0.0005579779 3.800901e-01
  > 5 -3.730395e-05 -0.0672869196 8.431925e-03 -0.0021255545 3.505131e-01
  > 10 3.583338e-03 -0.0002050709 3.819636e-05 0.0002253370 2.040649e-05
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.114375625 0.0199462756 -7.073578e-02 9.563474e-05 -5.234779e-01
  > 5 -0.000653592 0.1187059126 -7.171637e-03 -2.575759e-02 -5.648879e-01
  > 10 0.002634761 0.0002860459 -2.438624e-05 3.174106e-04 -9.347271e-06
  1823,1833c1823,1833
  < 1 -1.5147470962 -0.184185597 -0.1102510739 -0.0009334406 0.0313809044
  < 5 -0.0002264411 -0.000418075 -0.0007833522 -0.0003870528 0.0005524273
  < 10 -3.0998808145 0.117276664 -0.0011852008 0.7714145074 -0.0012565312
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 2.470370e+00 0.4809999916 0.0637824032 0.0028202862 0.1152031355
  < 5 -5.993519e-06 -0.0001059908 0.0002758713 -0.0007517452 0.0008340232
  < 10 3.766267e+00 -0.2009853033 0.0024670904 -0.7895219107 0.0022558656
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 3.633673e+00 -0.8578017343 -0.0508854622 -0.0014498857 -0.0852703010
  < 5 2.716924e-05 0.0001910747 -0.0001894415 0.0002625954 -0.0005482701
  < 10 2.831864e+00 0.1850882819 0.0008190421 0.1435389298 -0.0004594805
  ---
  > 1 -1.515514e+00 -0.184241048 -0.1098751936 -0.0009371763 0.031160190
  > 5 -9.746379e-05 0.000110006 -0.0009524318 -0.0002727514 -0.000687166
  > 10 -3.097683e+00 0.117197378 -0.0011853488 0.7708771208 -0.001255453
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 2.469028e+00 0.4798411614 0.0634876756 -0.0010053706 0.114375625
  > 5 -1.929414e-05 -0.0002765534 0.0002800357 0.0002159737 -0.000653592
  > 10 3.764316e+00 -0.2008905358 0.0013424380 -0.7890623250 0.002634761
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 3.637712e+00 -0.8575304993 -0.0505683577 -0.0006105466 -0.083896801
  > 5 5.368318e-05 -0.0001933717 -0.0001669076 -0.0007801894 0.001480701
  > 10 2.828161e+00 0.1848896656 0.0008764212 0.1429236557 -0.002409316
  1838,1848c1838,1848
  < 1 0.31930217 0.16964664 3.377621e-02 -0.0001246211 9.256147e-03
  < 5 -0.01587714 -0.15273851 4.930771e-02 0.0141468606 8.698010e-02
  < 10 -0.20031677 0.03112504 -6.643616e-05 0.0967016135 -7.923501e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.5169074220 -0.35488804 -0.0225103657 -0.0001836298 0.020389077
  < 5 -0.0005019873 -0.29895556 -0.0124293397 -0.0080006146 0.118654357
  < 10 0.2504558971 -0.07732207 0.0001529827 -0.1075800106 0.000313378
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.8578017343 0.60823805 2.310544e-02 0.0007443208 -0.0617774189
  < 5 0.0001910747 0.88514440 8.777749e-03 0.0064913585 -0.3549448261
  < 10 0.1850882819 0.04940581 -1.502881e-05 0.0270360319 -0.0001147958
  ---
  > 1 0.31855628 0.1698549 3.410170e-02 -0.0001439648 9.090536e-03
  > 5 -0.01584764 -0.1527111 4.912317e-02 0.0142905810 8.671953e-02
  > 10 -0.20027033 0.0311304 -6.641933e-05 0.0967034450 -7.920541e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.5146228431 -0.35467002 -2.274560e-02 0.0005433265 0.0199462756
  > 5 0.0002852799 -0.29912745 -1.169504e-02 -0.0077237630 0.1187059126
  > 10 0.2504556141 -0.07734526 -6.201132e-06 -0.1075936295 0.0002860459
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.8575304993 0.60840974 0.0233833110 0.0005723414 -0.0608347682
  > 5 -0.0001933717 0.88527485 0.0087367501 0.0062146832 -0.3544836234
  > 10 0.1848896656 0.04941825 0.0002036233 0.0270341961 -0.0002253552
  1853,1863c1853,1863
  < 1 0.020879078 6.442514e-03 3.571478e-02 -0.0006330902 -2.146666e-02
  < 5 -0.001395352 1.265321e-02 8.192979e-02 0.0368608510 3.464635e-03
  < 10 -0.001398460 -6.930444e-05 4.436648e-05 -0.0019623390 -2.752287e-06
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.045887607 -0.0097105722 -0.0230529891 0.000070128 -7.073599e-02
  < 5 0.000322695 -0.0056096755 -0.0240768448 0.018930486 -6.172653e-03
  < 10 0.001608784 0.0002027805 -0.0003421744 0.003656782 -1.069879e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0508854622 2.310544e-02 0.0241722029 -0.0003119702 0.1004070382
  < 5 -0.0001894415 8.777749e-03 0.0179947225 -0.0289422371 0.0090346784
  < 10 0.0008190421 -1.502881e-05 0.0003110783 -0.0008122901 0.0000421347
  ---
  > 1 0.0208738743 0.0064438973 3.571570e-02 -0.0006331272 -2.146734e-02
  > 5 -0.0013130029 0.0126377901 8.154297e-02 0.0369909200 2.602261e-03
  > 10 -0.0009304087 0.0001222085 4.272653e-05 -0.0011722083 -2.369264e-06
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0459112140 -0.0097276934 -0.02305357 8.792193e-05 -7.073578e-02
  > 5 0.0003084255 -0.0061185443 -0.02395206 1.971415e-02 -7.171637e-03
  > 10 0.0018073845 -0.0004173537 -0.00033604 2.153961e-03 -2.438624e-05
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0505683577 0.0233833110 0.0241741765 5.055428e-05 1.004226e-01
  > 5 -0.0001669076 0.0087367501 0.0179439486 -2.996608e-02 1.010963e-02
  > 10 0.0008764212 0.0002036233 0.0002829794 -7.388569e-04 2.544273e-05
  1868,1878c1868,1878
  < 1 0.0002629859 0.0001506161 -0.0004816338 7.332686e-06 3.627157e-04
  < 5 -0.0073768964 -0.0459521738 -0.2028228710 1.494390e-01 -4.917148e-02
  < 10 -0.1945156367 0.0133541106 -0.0002333833 1.281644e-01 -9.594659e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0002543879 -0.0005000934 0.000333493 -6.685747e-06 0.0011300219
  < 5 -0.0005750791 0.0081262479 0.034557238 -3.577384e-01 -0.0250415334
  < 10 0.2143498292 -0.0251148669 0.001589263 -1.506665e-01 0.0005355636
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0014498857 0.0007443208 -0.0003119702 2.088828e-05 -0.0017330114
  < 5 0.0002625954 0.0064913585 -0.0289422371 5.848370e-01 0.0143992769
  < 10 0.1435389298 0.0270360319 -0.0008122901 7.394231e-02 -0.0002192539
  ---
  > 1 -9.676582e-05 -3.305815e-05 -4.726227e-05 3.662629e-06 -4.994463e-06
  > 5 -7.346336e-03 -4.588116e-02 -2.028733e-01 1.494160e-01 -4.935279e-02
  > 10 -1.941095e-01 1.335595e-02 -2.333415e-04 1.281425e-01 -9.581532e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -2.784437e-05 -9.552450e-06 1.125424e-05 -3.383598e-06 9.563474e-05
  > 5 -1.574826e-04 8.018592e-03 3.391614e-02 -3.576507e-01 -2.575759e-02
  > 10 2.137223e-01 -2.514560e-02 1.276604e-03 -1.506817e-01 3.174106e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0006105466 0.0005723414 5.055428e-05 1.961294e-05 0.0000666040
  > 5 -0.0007801894 0.0062146832 -2.996608e-02 5.845936e-01 0.0138759957
  > 10 0.1429236557 0.0270341961 -7.388569e-04 7.396294e-02 -0.0003993135
  1883,1893c1883,1893
  < 1 0.0639336294 -0.0037924016 1.661882e-01 -0.0033053023 -1.550564e-01
  < 5 0.0095845622 0.1387131399 5.091311e-02 -0.0173719240 -4.237882e-01
  < 10 0.0006132629 -0.0001032048 3.884367e-06 -0.0009512649 -1.869047e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.1595378403 0.0476206465 -9.942339e-02 0.0007102314 -5.234584e-01
  < 5 -0.0002592091 0.0937296891 -1.158896e-02 0.0035472898 -5.641714e-01
  < 10 -0.0004495316 0.0002333807 -2.987438e-05 0.0010185124 -1.824455e-06
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0852703010 -0.0617774189 0.1004070382 -0.0017330114 0.7587698914
  < 5 -0.0005482701 -0.3549448261 0.0090346784 0.0143992769 1.1772043072
  < 10 -0.0004594805 -0.0001147958 0.0000421347 -0.0002192539 0.0000252894
  ---
  > 1 0.063874324 -0.0037879221 1.661989e-01 -0.0033054727 -1.550631e-01
  > 5 0.009786269 0.1386856608 5.072993e-02 -0.0172465989 -4.245459e-01
  > 10 0.003315277 -0.0001311109 2.984698e-06 -0.0007989053 8.653899e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.159840294 0.0477033508 -9.942958e-02 0.0007272656 -5.234779e-01
  > 5 -0.000260798 0.0934479358 -1.140720e-02 0.0042441115 -5.648879e-01
  > 10 -0.003163122 0.0001184889 -1.893333e-05 0.0003322047 -9.347271e-06
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.083896801 -0.0608347682 1.004226e-01 0.0000666040 7.588406e-01
  > 5 0.001480701 -0.3544836234 1.010963e-02 0.0138759957 1.179896e+00
  > 10 -0.002409316 -0.0002253552 2.544273e-05 -0.0003993135 2.270258e-05
  1897,1943c1897,1943
  < d_y1_d_x1 0.6812096572 0.0328445699 0.0464171645 3.190126e-04 -0.0206174478
  < d_y2_d_x1 0.0328445699 0.1337634568 0.0144199770 -1.593830e-04 -0.0018368715
  < d_y3_d_x1 0.0464171645 0.0144199770 0.0667528032 -1.266746e-03 -0.0331997504
  < d_y4_d_x1 0.0003190126 -0.0001593830 -0.0012667456 9.883137e-05 0.0006512071
  < d_y5_d_x1 -0.0206174478 -0.0018368715 -0.0331997504 6.512071e-04 0.0361535596
  < d_y1_d_x2 -1.1178996280 -0.0377585761 -0.0971560526 -2.057738e-04 0.0460276339
  < d_y2_d_x2 -0.1540989826 -0.1398006654 -0.0155731832 -2.542823e-06 -0.0096836823
  < d_y3_d_x2 -0.0284938712 -0.0061342233 -0.0353500806 6.169396e-04 0.0215424579
  < d_y4_d_x2 -0.0009675808 -0.0001840280 0.0001018069 -4.963927e-06 -0.0001452241
  < d_y5_d_x2 -0.0745727705 0.0024027494 -0.1185231680 2.298469e-03 0.1090351528
  < d_y1_d_x3 -1.5147470962 -0.1841855974 -0.1102510739 -9.334406e-04 0.0313809044
  < d_y2_d_x3 0.3193021720 0.1696466413 0.0337762063 -1.246211e-04 0.0092561466
  < d_y3_d_x3 0.0208790780 0.0064425141 0.0357147810 -6.330902e-04 -0.0214666599
  < d_y4_d_x3 0.0002629859 0.0001506161 -0.0004816338 7.332686e-06 0.0003627157
  < d_y5_d_x3 0.0639336294 -0.0037924016 0.1661881941 -3.305302e-03 -0.1550564187
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < d_y1_d_x1 -1.1178996280 -1.540990e-01 -2.849387e-02 -9.675808e-04 -0.0745727705
  < d_y2_d_x1 -0.0377585761 -1.398007e-01 -6.134223e-03 -1.840280e-04 0.0024027494
  < d_y3_d_x1 -0.0971560526 -1.557318e-02 -3.535008e-02 1.018069e-04 -0.1185231680
  < d_y4_d_x1 -0.0002057738 -2.542823e-06 6.169396e-04 -4.963927e-06 0.0022984687
  < d_y5_d_x1 0.0460276339 -9.683682e-03 2.154246e-02 -1.452241e-04 0.1090351528
  < d_y1_d_x2 1.9774536051 1.886772e-01 5.573169e-02 1.567771e-03 0.1700905112
  < d_y2_d_x2 0.1886772126 2.685846e-01 1.024432e-02 2.007524e-04 -0.0306174314
  < d_y3_d_x2 0.0557316855 1.024432e-02 2.272113e-02 -6.523607e-05 0.0716619637
  < d_y4_d_x2 0.0015677705 2.007524e-04 -6.523607e-05 1.075384e-05 -0.0004546412
  < d_y5_d_x2 0.1700905112 -3.061743e-02 7.166196e-02 -4.546412e-04 0.3800937749
  < d_y1_d_x3 2.4703700659 4.810000e-01 6.378240e-02 2.820286e-03 0.1152031355
  < d_y2_d_x3 -0.5169074220 -3.548880e-01 -2.251037e-02 -1.836298e-04 0.0203890774
  < d_y3_d_x3 -0.0458876073 -9.710572e-03 -2.305299e-02 7.012800e-05 -0.0707359859
  < d_y4_d_x3 -0.0002543879 -5.000934e-04 3.334930e-04 -6.685747e-06 0.0011300219
  < d_y5_d_x3 -0.1595378403 4.762065e-02 -9.942339e-02 7.102314e-04 -0.5234583745
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < d_y1_d_x1 -1.5147470962 0.3193021720 0.0208790780 2.629859e-04 0.0639336294
  < d_y2_d_x1 -0.1841855974 0.1696466413 0.0064425141 1.506161e-04 -0.0037924016
  < d_y3_d_x1 -0.1102510739 0.0337762063 0.0357147810 -4.816338e-04 0.1661881941
  < d_y4_d_x1 -0.0009334406 -0.0001246211 -0.0006330902 7.332686e-06 -0.0033053023
  < d_y5_d_x1 0.0313809044 0.0092561466 -0.0214666599 3.627157e-04 -0.1550564187
  < d_y1_d_x2 2.4703700659 -0.5169074220 -0.0458876073 -2.543879e-04 -0.1595378403
  < d_y2_d_x2 0.4809999916 -0.3548880432 -0.0097105722 -5.000934e-04 0.0476206465
  < d_y3_d_x2 0.0637824032 -0.0225103657 -0.0230529891 3.334930e-04 -0.0994233893
  < d_y4_d_x2 0.0028202862 -0.0001836298 0.0000701280 -6.685747e-06 0.0007102314
  < d_y5_d_x2 0.1152031355 0.0203890774 -0.0707359859 1.130022e-03 -0.5234583745
  < d_y1_d_x3 3.6336730548 -0.8578017343 -0.0508854622 -1.449886e-03 -0.0852703010
  < d_y2_d_x3 -0.8578017343 0.6082380474 0.0231054372 7.443208e-04 -0.0617774189
  < d_y3_d_x3 -0.0508854622 0.0231054372 0.0241722029 -3.119702e-04 0.1004070382
  < d_y4_d_x3 -0.0014498857 0.0007443208 -0.0003119702 2.088828e-05 -0.0017330114
  < d_y5_d_x3 -0.0852703010 -0.0617774189 0.1004070382 -1.733011e-03 0.7587698914
  ---
  > d_y1_d_x1 6.812097e-01 3.284457e-02 4.641716e-02 3.190130e-04 -2.061745e-02
  > d_y2_d_x1 3.284457e-02 1.337635e-01 1.441998e-02 -1.593828e-04 -1.836871e-03
  > d_y3_d_x1 4.641716e-02 1.441998e-02 6.675280e-02 -1.266746e-03 -3.319975e-02
  > d_y4_d_x1 3.190130e-04 -1.593828e-04 -1.266746e-03 9.883137e-05 6.512071e-04
  > d_y5_d_x1 -2.061745e-02 -1.836871e-03 -3.319975e-02 6.512071e-04 3.615356e-02
  > d_y1_d_x2 -1.116902e+00 -3.754151e-02 -9.722592e-02 -2.041637e-04 4.606989e-02
  > d_y2_d_x2 -1.533388e-01 -1.397325e-01 -1.565141e-02 1.116733e-05 -9.702575e-03
  > d_y3_d_x2 -2.848851e-02 -6.134243e-03 -3.534945e-02 6.169258e-04 2.154187e-02
  > d_y4_d_x2 6.198739e-04 9.045735e-05 1.712073e-04 -7.709117e-06 -1.684079e-04
  > d_y5_d_x2 -7.452406e-02 2.416461e-03 -1.185206e-01 2.298477e-03 1.090350e-01
  > d_y1_d_x3 -1.515514e+00 -1.842410e-01 -1.098752e-01 -9.371763e-04 3.116019e-02
  > d_y2_d_x3 3.185563e-01 1.698549e-01 3.410170e-02 -1.439648e-04 9.090536e-03
  > d_y3_d_x3 2.087387e-02 6.443897e-03 3.571570e-02 -6.331272e-04 -2.146734e-02
  > d_y4_d_x3 -9.676582e-05 -3.305815e-05 -4.726227e-05 3.662629e-06 -4.994463e-06
  > d_y5_d_x3 6.387432e-02 -3.787922e-03 1.661989e-01 -3.305473e-03 -1.550631e-01
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > d_y1_d_x1 -1.116902e+00 -1.533388e-01 -2.848851e-02 6.198739e-04 -7.452406e-02
  > d_y2_d_x1 -3.754151e-02 -1.397325e-01 -6.134243e-03 9.045735e-05 2.416461e-03
  > d_y3_d_x1 -9.722592e-02 -1.565141e-02 -3.534945e-02 1.712073e-04 -1.185206e-01
  > d_y4_d_x1 -2.041637e-04 1.116733e-05 6.169258e-04 -7.709117e-06 2.298477e-03
  > d_y5_d_x1 4.606989e-02 -9.702575e-03 2.154187e-02 -1.684079e-04 1.090350e-01
  > d_y1_d_x2 1.974272e+00 1.868058e-01 5.575944e-02 -1.156332e-03 1.702182e-01
  > d_y2_d_x2 1.868058e-01 2.684995e-01 1.026219e-02 -2.490298e-04 -3.074013e-02
  > d_y3_d_x2 5.575944e-02 1.026219e-02 2.272066e-02 -8.911402e-05 7.165823e-02
  > d_y4_d_x2 -1.156332e-03 -2.490298e-04 -8.911402e-05 9.134152e-06 -5.579779e-04
  > d_y5_d_x2 1.702182e-01 -3.074013e-02 7.165823e-02 -5.579779e-04 3.800901e-01
  > d_y1_d_x3 2.469028e+00 4.798412e-01 6.348768e-02 -1.005371e-03 1.143756e-01
  > d_y2_d_x3 -5.146228e-01 -3.546700e-01 -2.274560e-02 5.433265e-04 1.994628e-02
  > d_y3_d_x3 -4.591121e-02 -9.727693e-03 -2.305357e-02 8.792193e-05 -7.073578e-02
  > d_y4_d_x3 -2.784437e-05 -9.552450e-06 1.125424e-05 -3.383598e-06 9.563474e-05
  > d_y5_d_x3 -1.598403e-01 4.770335e-02 -9.942958e-02 7.272656e-04 -5.234779e-01
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > d_y1_d_x1 -1.5155136496 0.3185562850 2.087387e-02 -9.676582e-05 0.0638743236
  > d_y2_d_x1 -0.1842410475 0.1698548807 6.443897e-03 -3.305815e-05 -0.0037879221
  > d_y3_d_x1 -0.1098751936 0.0341016987 3.571570e-02 -4.726227e-05 0.1661989341
  > d_y4_d_x1 -0.0009371763 -0.0001439648 -6.331272e-04 3.662629e-06 -0.0033054727
  > d_y5_d_x1 0.0311601898 0.0090905358 -2.146734e-02 -4.994463e-06 -0.1550631458
  > d_y1_d_x2 2.4690277129 -0.5146228431 -4.591121e-02 -2.784437e-05 -0.1598402938
  > d_y2_d_x2 0.4798411614 -0.3546700224 -9.727693e-03 -9.552450e-06 0.0477033508
  > d_y3_d_x2 0.0634876756 -0.0227456009 -2.305357e-02 1.125424e-05 -0.0994295843
  > d_y4_d_x2 -0.0010053706 0.0005433265 8.792193e-05 -3.383598e-06 0.0007272656
  > d_y5_d_x2 0.1143756253 0.0199462756 -7.073578e-02 9.563474e-05 -0.5234779044
  > d_y1_d_x3 3.6377118200 -0.8575304993 -5.056836e-02 -6.105466e-04 -0.0838968013
  > d_y2_d_x3 -0.8575304993 0.6084097418 2.338331e-02 5.723414e-04 -0.0608347682
  > d_y3_d_x3 -0.0505683577 0.0233833110 2.417418e-02 5.055428e-05 0.1004225515
  > d_y4_d_x3 -0.0006105466 0.0005723414 5.055428e-05 1.961294e-05 0.0000666040
  > d_y5_d_x3 -0.0838968013 -0.0608347682 1.004226e-01 6.660400e-05 0.7588406335
  1948,1958c1948,1958
  < 1 -0.15639148 0.0004175927 -0.0034077201 -9.140888e-05 0.0012587677
  < 5 -0.02800207 0.0440645951 0.0050068900 2.316666e-02 -0.0016630710
  < 10 -0.36206441 0.0233549044 -0.0001174282 9.265316e-02 -0.0001571011
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.1795452675 0.037081449 8.788543e-03 -0.0003996803 -0.0002671474
  < 5 0.0006661338 -0.008448797 3.330669e-05 -0.0049737992 0.0007549517
  < 10 0.6128653141 -0.072165884 -4.884981e-04 -0.1904906788 -0.0009214851
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.4713229806 -0.090716323 -0.0121246763 -0.0006439294 -0.0031634417
  < 5 0.0002220446 -0.002309264 0.0002331468 -0.0018707258 0.0002775558
  < 10 0.2127409360 0.035824121 -0.0015210055 0.0271616063 -0.0020095037
  ---
  > 1 -0.15639148 0.0004175918 -0.0034077201 -0.0000914101 0.0012587677
  > 5 -0.02800207 0.0440645951 0.0050068900 0.0231666586 -0.0016630708
  > 10 -0.36206441 0.0233549044 -0.0001174276 0.0926531552 -0.0001571004
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.178501658 0.036859404 0.0087862877 -0.001021405 -3.004541e-04
  > 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 9.992007e-05
  > 10 0.612898621 -0.072196069 -0.0008548717 -0.190615579 -7.882583e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.470024020 -0.092093000 -0.0121292733 -0.001421085 -0.003150258
  > 5 0.002020606 -0.001920686 0.0019872992 -0.001568190 0.001176836
  > 10 0.213329354 0.035809203 -0.0006328271 0.027169933 -0.001298961
  1963,1973c1963,1973
  < 1 9.163474e-02 -0.0361629797 -5.966820e-03 -0.0001078717 1.281769e-04
  < 5 6.949863e-05 -0.0016266396 -2.210232e-06 -0.0010432505 9.689360e-06
  < 10 8.615991e-03 -0.0007684082 2.152944e-06 -0.0022078730 2.259082e-06
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0000000000 0.000000000 0.000000e+00 0.000000000 0.0000000000
  < 5 0.0006661338 -0.008448797 3.330669e-05 -0.004973799 0.0007549517
  < 10 0.0000000000 0.000000000 0.000000e+00 0.000000000 0.0000000000
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
  < 5 0.0002220446 -0.002309264 0.0002331468 -0.001870726 0.0002775558
  < 10 0.0000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
  ---
  > 1 9.163474e-02 -0.0361629801 -5.966820e-03 -0.0001078725 1.281769e-04
  > 5 6.949863e-05 -0.0016266396 -2.210121e-06 -0.0010432505 9.689471e-06
  > 10 8.615991e-03 -0.0007684082 2.153167e-06 -0.0022078730 2.259304e-06
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  > 1 0.000000000 0.000000000 0.0000000000 0.000000000 0.000000e+00 0.000000000
  > 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 9.992007e-05 0.002020606
  > 10 0.000000000 0.000000000 0.0000000000 0.000000000 0.000000e+00 0.000000000
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.000000000 0.000000000 0.00000000 0.000000000
  > 5 -0.001920686 0.001987299 -0.00156819 0.001176836
  > 10 0.000000000 0.000000000 0.00000000 0.000000000
  1978,1988c1978,1988
  < 1 -0.1914360 0.0005111669 -4.171328e-03 -0.0001118933 1.540835e-03
  < 5 0.0155647 -0.0244929147 -2.783035e-03 -0.0128769818 9.244027e-04
  < 10 0.1711809 -0.0110419981 5.551848e-05 -0.0438056157 7.427559e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.4678725783 0.008561096 8.197920e-03 0.001604463 -0.0015129239
  < 5 -0.0003523857 0.002725435 1.999473e-05 0.001538018 -0.0003899902
  < 10 0.0813895917 0.010001821 6.968969e-04 -0.004709531 0.0003703023
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.5774491996 -0.110822462 -0.0148316255 -0.0011102230 -0.0038295755
  < 5 -0.0007105427 0.001515454 -0.0009436896 0.0008326673 -0.0007438494
  < 10 -0.1015965090 -0.016959698 0.0006883383 -0.0130326305 0.0007993606
  ---
  > 1 -0.1914360 0.0005111674 -4.171328e-03 -0.0001118924 1.540835e-03
  > 5 0.0155647 -0.0244929149 -2.783036e-03 -0.0128769820 9.244024e-04
  > 10 0.1711809 -0.0110419981 5.551892e-05 -0.0438056157 7.427525e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.467650534 0.008239131 0.0082012162 0.0006496715 -0.0015143116
  > 5 0.001024291 0.002769844 0.0004862883 0.0017600628 0.0004537792
  > 10 0.081267467 0.010009800 0.0007079992 -0.0045693652 0.0003925066
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.577582426 -0.111244347 -0.0148305847 -0.0019761970 -0.0038392900
  > 5 -0.001554312 0.001570966 -0.0008992806 0.0008631984 -0.0003330669
  > 10 -0.101241238 -0.016943044 0.0011657342 -0.0129646294 0.0010103030
  1993,2003c1993,2003
  < 1 0.16699853 -0.0004459151 0.0036388443 0.0000976087 -0.001344142
  < 5 0.01750239 -0.0275421022 -0.0031295030 -0.0144800714 0.001039485
  < 10 -0.45396177 0.0292827276 -0.0001472336 0.1161699085 -0.000196976
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.191580085 -0.04010126 -0.0093905786 -4.440892e-05 0.0003559653
  < 5 -0.001265654 0.00487943 -0.0007438494 2.894907e-03 -0.0008548717
  < 10 0.767630404 -0.09054008 -0.0011435297 -2.389949e-01 -0.0013211654
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -2.559484e-01 0.0621182546 0.0103815034 5.742407e-06 2.213956e-03
  < 5 -8.593237e-05 -0.0004664564 -0.0004574013 2.890172e-04 -1.412370e-06
  < 10 6.399095e-01 0.0208115765 0.0008856348 -6.038860e-02 9.476183e-04
  ---
  > 1 0.16699853 -0.000445915 0.0036388443 9.760925e-05 -0.0013441420
  > 5 0.01750239 -0.027542102 -0.0031295035 -1.448007e-02 0.0010394844
  > 10 -0.45396177 0.029282728 -0.0001472331 1.161699e-01 -0.0001969759
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.1918132320 -0.039435122 -0.0093857214 -0.0001110223 0.0003989864
  > 5 -0.0004218847 0.005107026 -0.0006661338 0.0029864999 -0.0006772360
  > 10 0.7681744130 -0.090524463 -0.0009992007 -0.2389158316 -0.0008881784
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.2544274195 0.0621959703 0.0103841922 0.0006496718 0.0022458750
  > 5 -0.0002635679 -0.0002610651 -0.0003352767 0.0003445284 0.0003538591
  > 10 0.6393543773 0.0208032498 0.0012631107 -0.0606023212 0.0009587209
  2009,2018c2009,2018
  < 5 0.01172468 -0.07512963 -5.929005e-02 0.0215556738 -3.493162e-02
  < 10 0.15812579 -0.05460630 -7.488421e-05 -0.0448684340 3.857692e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0026423308 -0.1627920 -0.002771828 -0.0004218847 0.0299732461
  < 5 -0.0001332268 0.1761646 0.007749357 -0.0126204602 -0.0743960449
  < 10 -0.2603028904 0.1509914 0.001243450 0.0803093703 -0.0004996004
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1563416063 0.2026934 0.003022409 -0.0005551115 -0.039307446
  < 5 0.0001554312 -0.3261835 -0.003996803 0.0067196249 0.122535315
  < 10 -0.1015298956 -0.1050156 -0.002520206 -0.0073330231 -0.001665335
  ---
  > 5 0.01172468 -0.07512963 -5.929005e-02 0.0215556739 -3.493162e-02
  > 10 0.15812578 -0.05460630 -7.488488e-05 -0.0448684340 3.857703e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  > 1 -0.001787459 -0.1621814 -0.002770787 -0.0001776357 0.029994757 -0.158795199
  > 5 -0.001443290 0.1760148 0.006783463 -0.0127287070 -0.075184303 0.002553513
  > 10 -0.260724775 0.1509983 0.001720846 0.0802621858 -0.001132427 -0.099975583
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.2018163 0.003015817 -0.001154632 -3.930675e-02
  > 5 -0.3259060 -0.002886580 0.006966649 1.228684e-01
  > 10 -0.1050032 -0.001998401 -0.007199796 -5.551115e-05
  2023,2025c2023,2025
  < 1 -2.823928e-02 0.185003157 4.796552e-03 -0.0001283527 -7.966126e-03
  < 5 -9.302825e-05 0.354249378 9.457133e-04 0.0032874300 -8.314710e-02
  < 10 -3.894220e-03 0.005142545 5.685896e-06 0.0015816660 -1.827227e-05
  ---
  > 1 -0.0282392827 0.185003157 4.796552e-03 -0.0001283527 -7.966126e-03
  > 5 -0.0000930287 0.354249378 9.457130e-04 0.0032874300 -8.314710e-02
  > 10 -0.0038942199 0.005142545 5.685452e-06 0.0015816660 -1.827227e-05
  2027,2029c2027,2029
  < 1 0.0000000000 0.000000 0.000000000 0.00000000 0.00000000 0.0000000000
  < 5 -0.0002664535 0.176098 0.007682743 -0.01262046 -0.07452927 0.0004218847
  < 10 0.0000000000 0.000000 0.000000000 0.00000000 0.00000000 0.0000000000
  ---
  > 1 0.000000000 0.0000000 0.000000000 0.00000000 0.0000000 0.000000000
  > 5 -0.001310063 0.1759815 0.006783463 -0.01271205 -0.0751843 0.002287059
  > 10 0.000000000 0.0000000 0.000000000 0.00000000 0.0000000 0.000000000
  2031,2033c2031,2033
  < 1 0.0000000 0.000000000 0.000000000 0.0000000
  < 5 -0.3260503 -0.003863576 0.006719625 0.1228018
  < 10 0.0000000 0.000000000 0.000000000 0.0000000
  ---
  > 1 0.0000000 0.00000000 0.000000000 0.0000000
  > 5 -0.3258394 -0.00288658 0.006933343 0.1228684
  > 10 0.0000000 0.00000000 0.000000000 0.0000000
  2038,2048c2038,2048
  < 1 0.037231464 0.08604624 5.259219e-03 -0.0001642869 0.0034302172
  < 5 -0.006517056 0.04176014 3.295585e-02 -0.0119815299 0.0194164304
  < 10 -0.074760513 0.02581739 3.540424e-05 0.0212134101 -0.0000182393
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0621190087 -0.08540906 -0.0028956290 -0.0009489323 0.0258752006
  < 5 -0.0005371178 0.25628330 -0.0035617923 0.0102152216 -0.0425906540
  < 10 -0.0389073739 -0.01159305 -0.0002302923 0.0083930425 0.0004538535
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1915467784 0.24932278 0.0037039816 0.0008437695 -0.0480677997
  < 5 0.0001998401 0.18147706 0.0033195668 -0.0034916514 -0.0663025190
  < 10 0.0471400696 0.04955376 -0.0007993606 0.0033195668 -0.0002220446
  ---
  > 1 0.037231463 0.08604624 5.259219e-03 -0.0001642868 3.430217e-03
  > 5 -0.006517056 0.04176014 3.295585e-02 -0.0119815304 1.941643e-02
  > 10 -0.074760513 0.02581739 3.540501e-05 0.0212134101 -1.823874e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0610087855 -0.08409900 -0.0028929402 -0.0002161851 0.0259910802
  > 5 0.0002844472 0.25653865 -0.0024182628 0.0103428973 -0.0417912936
  > 10 -0.0392182364 -0.01163607 -0.0006188705 0.0083375314 0.0004427512
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.19239055 0.24932278 0.003701900 0.001509903 -0.048102494
  > 5 -0.00104361 0.18117174 0.001765255 -0.003824718 -0.067645889
  > 10 0.04675149 0.04959089 -0.001532108 0.003269607 -0.001865175
  2053,2054c2053,2054
  < 1 -0.032478744 -0.07506215 -4.587862e-03 0.0001433155 -2.992339e-03
  < 5 -0.007328382 0.04695897 3.705861e-02 -0.0134731425 2.183363e-02
  ---
  > 1 -0.032478744 -0.07506215 -4.587862e-03 0.0001433151 -2.992339e-03
  > 5 -0.007328382 0.04695897 3.705861e-02 -0.0134731424 2.183363e-02
  2057,2063c2057,2063
  < 1 0.0021538327 0.1729950 0.002963081 0.0003108624 -0.0320569959
  < 5 -0.0009769963 -0.1101674 -0.005484502 0.0076300077 0.0460964600
  < 10 -0.3256395154 0.1892878 0.000721645 0.1006777994 -0.0003219647
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.1085222702 -0.10245098 -0.0027290955 -0.0011931814 0.0311702706
  < 5 0.0002844475 0.55823065 0.0049314140 -0.0007260262 -0.1591973783
  < 10 -0.2869978106 -0.07179663 0.0005801708 0.0375530503 0.0007869205
  ---
  > 1 0.0013655743 0.1729172 0.0029592648 -0.001421085 -0.032075731
  > 5 -0.0002442491 -0.1100675 -0.0047517545 0.007757683 0.046274096
  > 10 -0.3263500581 0.1892979 0.0005218048 0.100618125 -0.001021405
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.1096546977 -0.10232886 -0.002728228 0.0012049003 0.0311550050
  > 5 0.0003954697 0.55816959 0.004431813 -0.0007482306 -0.1594527296
  > 10 -0.2875418200 -0.07185491 -0.001040755 0.0374572936 0.0004760582
  2068,2078c2068,2078
  < 1 0.0595716571 1.341879e-02 0.0722787329 -0.0007605944 -1.288056e-02
  < 5 0.0027118471 -5.705155e-02 -0.3158272829 0.1826448264 -2.498794e-02
  < 10 0.0001804166 -9.407860e-06 -0.0004331208 0.0111149258 2.334599e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -6.444845e-02 -0.046396220 -0.056137994 -4.440892e-05 -0.057334693
  < 5 2.220446e-05 0.007538414 0.039213077 -1.459693e-01 0.006772360
  < 10 -1.354472e-03 0.000125594 0.004118927 -3.810702e-02 -0.001165734
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -1.861844e-01 0.071320727 0.057602968 -0.001088019 0.076667839
  < 5 6.217249e-04 -0.006283862 -0.028643754 0.127420297 -0.004884981
  < 10 -2.220446e-05 -0.000113104 -0.004540812 0.031925851 -0.001809664
  ---
  > 1 0.0595716566 1.341879e-02 0.0722787329 -0.0007605947 -1.288056e-02
  > 5 0.0027118469 -5.705155e-02 -0.3158272829 0.1826448262 -2.498794e-02
  > 10 0.0001804168 -9.407846e-06 -0.0004331201 0.0111149258 2.334699e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.064981354 -0.0467403893 -0.056143892 -0.0005995204 -0.057358979
  > 5 0.001088019 0.0072719608 0.038791192 -0.1459082855 0.006072920
  > 10 -0.001254552 0.0001110223 0.003552714 -0.0381125687 -0.000144329
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -1.853406e-01 0.072086781 0.057606003 -0.0002664535 0.076683798
  > 5 -6.661338e-05 -0.005961898 -0.028421709 0.1275035633 -0.004829470
  > 10 8.437695e-04 -0.000075287 -0.002675637 0.0320563021 -0.001099121
  2083,2085c2083,2085
  < 1 -3.539162e-02 5.056612e-02 8.698175e-02 -0.0007680380 1.565517e-02
  < 5 -1.385334e-04 9.823548e-04 5.322138e-03 -0.0506318039 6.196551e-04
  < 10 -7.327472e-09 6.938894e-12 4.440892e-09 -0.0001712277 -1.199041e-08
  ---
  > 1 -3.539162e-02 5.056612e-02 8.698175e-02 -0.0007680381 1.565517e-02
  > 5 -1.385334e-04 9.823548e-04 5.322137e-03 -0.0506318040 6.196549e-04
  > 10 -7.105427e-09 6.938894e-12 4.884981e-09 -0.0001712277 -1.154632e-08
  2087,2089c2087,2089
  < 1 0.000000e+00 0.000000000 0.00000000 0.0000000 0.000000000 0.0000000000
  < 5 2.220446e-05 0.007538414 0.03921308 -0.1459693 0.006628031 0.0006217249
  < 10 0.000000e+00 0.000000000 0.00000000 0.0000000 0.000000000 0.0000000000
  ---
  > 1 0.000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000e+00
  > 5 0.001088019 0.007271961 0.03879119 -0.1459444 0.00607292 -6.661338e-05
  > 10 0.000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000e+00
  2091,2093c2091,2093
  < 1 0.000000000 0.00000000 0.0000000 0.000000000
  < 5 -0.006283862 -0.02864375 0.1274203 -0.004796163
  < 10 0.000000000 0.00000000 0.0000000 0.000000000
  ---
  > 1 0.000000000 0.00000000 0.0000000 0.00000000
  > 5 -0.005961898 -0.02842171 0.1275258 -0.00482947
  > 10 0.000000000 0.00000000 0.0000000 0.00000000
  2098,2108c2098,2108
  < 1 7.292058e-02 1.642570e-02 0.0884750814 -0.0009310296 -1.576685e-02
  < 5 -1.507357e-03 3.171160e-02 0.1755497954 -0.1015215074 1.388932e-02
  < 10 -8.529899e-05 4.447945e-06 0.0002047759 -0.0052550414 -1.103773e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.1735892761 -1.935192e-02 -0.054020826 -0.0003627149 -0.041751111
  < 5 -0.0001607373 -3.003346e-03 -0.016360518 0.0303478637 -0.002577787
  < 10 -0.0007466378 -6.830776e-05 -0.002941953 0.0066397849 -0.001244604
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.2281286271 8.777423e-02 0.070516596 -0.0003774758 0.0938235600
  < 5 0.0004218847 3.580469e-03 0.016686652 -0.0707378600 0.0038857806
  < 10 -0.0008215650 1.908196e-05 0.001121325 -0.0152003410 -0.0001776357
  ---
  > 1 7.292058e-02 1.642570e-02 0.0884750813 -0.0009310297 -1.576685e-02
  > 5 -1.507357e-03 3.171160e-02 0.1755497949 -0.1015215078 1.388932e-02
  > 10 -8.529921e-05 4.447956e-06 0.0002047762 -0.0052550414 -1.103739e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.1731784937 -1.908547e-02 -0.054012846 0.0003256235 -0.041712947
  > 5 -0.0008268712 -3.219839e-03 -0.016160678 0.0303034547 -0.002699912
  > 10 -0.0006800245 -5.408303e-05 -0.002286922 0.0066647650 -0.001044764
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.2276179245 8.837375e-02 0.070513300 8.881784e-05 0.093868663
  > 5 0.0011990409 3.508305e-03 0.016286972 -7.062684e-02 0.003330669
  > 10 0.0002331468 3.018419e-05 0.001298961 -1.517120e-02 0.000965894
  2113,2123c2113,2123
  < 1 -0.0636120275 -0.0143289044 -0.0771809445 0.0008121802 1.375416e-02
  < 5 -0.0016950114 0.0356594578 0.1974044531 -0.1141601885 1.561844e-02
  < 10 0.0002262088 -0.0000117957 -0.0005430529 0.0139360598 2.927147e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0680899781 0.0497157870 0.05994398 0.0001776357 0.061269045
  < 5 0.0010658141 -0.0045130566 -0.02354783 0.0914102127 -0.002897682
  < 10 -0.0008104628 0.0001561251 0.00512923 -0.0479158380 0.001310063
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.1050878051 -0.0406348973 -0.046805157 0.001746709 -0.0532766136
  < 5 -0.0004938046 0.0052289579 0.022686026 -0.130442961 0.0036172573
  < 10 0.0003635856 -0.0001366559 -0.003030771 0.028860899 0.0006205714
  ---
  > 1 -0.0636120274 -1.432890e-02 -0.077180944 0.0008121808 1.375416e-02
  > 5 -0.0016950116 3.565946e-02 0.197404453 -0.1141601887 1.561844e-02
  > 10 0.0002262085 -1.179571e-05 -0.000543053 0.0139360597 2.927147e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.0688005208 0.0499600361 0.059946579 0.0004440892 0.0612773721
  > 5 -0.0001998401 -0.0047295501 -0.024680258 0.0912409037 -0.0039301895
  > 10 -0.0011657342 0.0001557782 0.005295764 -0.0478242446 0.0008548717
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 1.034447e-01 -0.0412677243 -0.046809667 0.001058371 -0.0533015936
  > 5 -1.803868e-03 0.0048403798 0.022241936 -0.130595617 0.0029622258
  > 10 -1.389017e-05 -0.0001404723 -0.004318629 0.028733223 -0.0008116162
  2128,2138c2128,2138
  < 1 -0.0005028644 -9.699241e-06 -0.0176521868 0.0009921307 -1.212553e-03
  < 5 0.0096056769 1.666825e-02 0.1686842803 -0.1999096633 5.829742e-03
  < 10 0.1691118553 -1.216878e-02 0.0003768611 -0.2193776309 9.145196e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0007327472 -0.0007660539 0.002223395 0.0001998401 -1.387779e-05
  < 5 0.0005329071 0.0091981978 -0.024691360 0.2620653694 -2.046141e-02
  < 10 -0.2725930592 0.0350029034 -0.003175238 0.3629110901 -1.254552e-03
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0004107825 -0.0006106227 -0.001816169 -0.001088019 -5.412337e-05
  < 5 -0.0003996803 -0.0138000722 0.018496316 -0.311464743 3.088640e-02
  < 10 -0.1086242207 -0.0190975707 0.001243450 -0.154533331 -7.549517e-04
  ---
  > 1 -0.0005028642 -9.699463e-06 -0.0176521868 0.0009921306 -1.212553e-03
  > 5 0.0096056775 1.666825e-02 0.1686842803 -0.1999096630 5.829742e-03
  > 10 0.1691118553 -1.216878e-02 0.0003768608 -0.2193776310 9.145218e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 4.440892e-05 -0.0001221245 0.002225390 0.0005107026 -5.551115e-06
  > 5 1.110223e-04 0.0091537888 -0.023980817 0.2620736961 -1.967315e-02
  > 10 -2.724043e-01 0.0350469653 -0.001987299 0.3630221124 -8.770762e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 1.110223e-05 2.220446e-05 -0.001810271 0.0001332268 6.938894e-06
  > 5 1.376677e-03 -1.331713e-02 0.020661250 -0.3111871871 3.226308e-02
  > 10 -1.073697e-01 -1.908092e-02 0.001587619 -0.1544278594 8.659740e-04
  2143,2145c2143,2145
  < 1 -5.028740e-04 -9.699352e-06 -1.800810e-02 0.0009921314 -1.213108e-03
  < 5 5.419287e-05 2.012064e-02 -3.475365e-03 0.2569725626 -1.812321e-02
  < 10 -4.327225e-03 6.223513e-04 -1.527445e-05 0.0136778551 -2.033396e-05
  ---
  > 1 -5.028739e-04 -9.699463e-06 -1.800810e-02 0.0009921313 -1.213108e-03
  > 5 5.419243e-05 2.012064e-02 -3.475365e-03 0.2569725625 -1.812321e-02
  > 10 -4.327224e-03 6.223513e-04 -1.527445e-05 0.0136778551 -2.033396e-05
  2147,2149c2147,2149
  < 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.0000000 0.0000000000
  < 5 0.0002442491 0.009164891 -0.02463585 0.2619932 -0.0204281 -0.0002220446
  < 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.0000000 0.0000000000
  ---
  > 1 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
  > 5 0.0002664535 0.009214851 -0.02399192 0.2620293 -0.02002842 0.001465494
  > 10 0.0000000000 0.000000000 0.00000000 0.0000000 0.00000000 0.000000000
  2152c2152
  < 5 -0.01373346 0.01879608 -0.3113426 0.03099743
  ---
  > 5 -0.01323386 0.02018385 -0.3111095 0.03221867
  2158,2168c2158,2168
  < 1 -0.0006155474 -1.187306e-05 -0.0216077206 0.001214449 -0.0014842635
  < 5 -0.0053392294 -9.264900e-03 -0.0937616617 0.111118014 -0.0032404096
  < 10 -0.0799546319 5.753295e-03 -0.0001781758 0.103719859 -0.0000432373
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0003774663 4.440903e-05 0.0023684651 0.0003996812 -2.137211e-05
  < 5 0.0007425307 1.497475e-02 0.0106244673 0.1114250995 -6.377054e-03
  < 10 -0.0450417869 -3.760558e-03 0.0009845412 0.0614524766 7.763922e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0009214851 -0.0006994405 -0.002221053 -0.0008437695 -6.869505e-05
  < 5 -0.0007549517 0.0078714812 -0.011679546 0.1730504628 -1.788569e-02
  < 10 0.0504596365 0.0089921126 -0.001221245 0.0728930805 -1.887379e-03
  ---
  > 1 -0.0006155476 -1.187317e-05 -0.0216077206 0.001214449 -1.484263e-03
  > 5 -0.0053392301 -9.264900e-03 -0.0937616617 0.111118014 -3.240410e-03
  > 10 -0.0799546321 5.753295e-03 -0.0001781765 0.103719859 -4.323808e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.0008104529 6.661327e-05 0.002367338 0.0001776365 -0.0000296988
  > 5 0.0003650548 1.464724e-02 0.009758493 0.1112391371 -0.0074872775
  > 10 -0.0448086400 -3.769232e-03 0.000507145 0.0614205576 0.0004877342
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0001998401 -0.0001554312 -0.002213507 0.00000000 -1.387779e-05
  > 5 -0.0010436096 0.0082212015 -0.011168844 0.17308099 -1.798561e-02
  > 10 0.0499822406 0.0090049496 -0.001021405 0.07294026 -1.709743e-03
  2173,2183c2173,2183
  < 1 0.0005369707 1.035694e-05 0.0188494236 -0.001059421 0.0012947923
  < 5 -0.0060039257 -1.041831e-02 -0.1054342988 0.124951389 -0.0036438169
  < 10 0.2120349669 -1.525740e-02 0.0004725135 -0.275058947 0.0001146628
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 6.661338e-05 0.000144329 -0.002382643 -0.0007105427 -5.551115e-06
  < 5 -2.442491e-04 -0.005762057 0.015420998 -0.1637606717 1.203482e-02
  < 10 -3.423706e-01 0.043900994 -0.003730349 0.4550637644 -5.662137e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0006106131 0.0003219647 0.001586539 0.0009547927 2.026126e-05
  < 5 -0.0002788745 0.0288414381 -0.014655311 0.4515446986 -3.679717e-02
  < 10 -0.3085421195 -0.0111032956 0.002616569 0.0394076105 1.142766e-03
  ---
  > 1 0.0005369704 1.035705e-05 0.0188494236 -0.001059421 0.0012947923
  > 5 -0.0060039258 -1.041831e-02 -0.1054342988 0.124951389 -0.0036438172
  > 10 0.2120349669 -1.525740e-02 0.0004725133 -0.275058947 0.0001146629
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.0002442491 0.0002553513 -0.002381862 -0.0003552714 1.595946e-05
  > 5 -0.0002886580 -0.0056732397 0.015698554 -0.1638522651 1.240119e-02
  > 10 -0.3417044425 0.0439155656 -0.002642331 0.4551345412 3.441691e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 8.880835e-05 -0.0001221245 0.001580814 -0.0003774749 -2.900488e-05
  > 5 2.318281e-04 0.0286860069 -0.015343649 0.4516279654 -3.720795e-02
  > 10 -3.079426e-01 -0.0111029487 0.002883023 0.0395283473 1.531344e-03
  2188,2198c2188,2198
  < 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311508e-04 -4.072218e-02
  < 5 -1.291512e-03 -1.034015e-02 -2.031862e-02 2.309196e-02 7.968644e-02
  < 10 -1.988409e-07 7.164833e-05 9.272583e-07 6.388334e-06 4.638123e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0208610906 0.0419997370 -0.0157263091 0.000000e+00 -0.2069282246
  < 5 -0.0006661338 -0.0722200078 0.0030531133 -3.874678e-02 0.2607358773
  < 10 0.0005440093 -0.0005061923 0.0008326673 7.771561e-05 0.0009103829
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0016875390 -0.0483169060 0.0158742811 0.0004440892 2.699362e-01
  < 5 0.0011102230 0.1260103133 -0.0018318680 0.0449501547 -4.311107e-01
  < 10 0.0001665335 0.0005440093 0.0008437695 0.0001165734 3.330669e-05
  ---
  > 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311511e-04 -4.072218e-02
  > 5 -1.291511e-03 -1.034015e-02 -2.031862e-02 2.309196e-02 7.968644e-02
  > 10 -1.996181e-07 7.164832e-05 9.262591e-07 6.388307e-06 4.638101e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.021160851 0.0427768931 -1.572180e-02 4.218847e-04 -0.2069115712
  > 5 -0.001021405 -0.0725530747 2.209344e-03 -3.879674e-02 0.2602251747
  > 10 0.000721645 -0.0005058454 -3.330669e-05 2.775558e-06 0.0004884981
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -1.854072e-03 -0.0475619544 0.0158729800 -1.110223e-04 0.2699132584
  > 5 6.661338e-05 0.1261157845 -0.0019984014 4.480027e-02 -0.4313882584
  > 10 -8.881784e-04 0.0005356826 0.0002553513 -2.775558e-05 -0.0006550316
  2203,2205c2203,2205
  < 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258284e-04 5.445139e-02
  < 5 2.809886e-05 -7.345513e-02 3.396605e-04 -1.533200e-02 2.539040e-01
  < 10 -2.565725e-07 -2.787156e-05 -1.707301e-06 -9.407752e-07 5.954681e-05
  ---
  > 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258285e-04 5.445139e-02
  > 5 2.809908e-05 -7.345513e-02 3.396605e-04 -1.533200e-02 2.539040e-01
  > 10 -2.570166e-07 -2.787156e-05 -1.707745e-06 -9.407752e-07 5.954681e-05
  2207,2209c2207,2209
  < 1 0.0000000000 0.0000000 0.00000000 0.00000000 0.0000000 0.0000000000
  < 5 -0.0009992007 -0.0721756 0.00318634 -0.03877176 0.2607026 0.0009769963
  < 10 0.0000000000 0.0000000 0.00000000 0.00000000 0.0000000 0.0000000000
  ---
  > 1 0.000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00
  > 5 -0.001199041 -0.07262524 0.002620126 -0.03883283 0.2604028 6.661338e-05
  > 10 0.000000000 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00
  2211,2213c2211,2213
  < 1 0.000000 0.000000000 0.00000000 0.0000000
  < 5 0.125927 -0.001876277 0.04495571 -0.4312217
  < 10 0.000000 0.000000000 0.00000000 0.0000000
  ---
  > 1 0.0000000 0.000000000 0.00000000 0.0000000
  > 5 0.1259548 -0.002509104 0.04482248 -0.4318879
  > 10 0.0000000 0.000000000 0.00000000 0.0000000
  2218,2228c2218,2228
  < 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053551e-04 -4.984727e-02
  < 5 7.178743e-04 5.747480e-03 1.129392e-02 -1.283546e-02 -4.429300e-02
  < 10 9.403589e-08 -3.387471e-05 -4.377609e-07 -3.020320e-06 -2.192901e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0349084567 0.0207371104 -0.0149353220 0.0002273669 -0.158095367
  < 5 0.0001613258 -0.0331706918 -0.0010037091 0.0061230601 0.108797816
  < 10 -0.0005551686 0.0001148919 -0.0008019945 -0.0001905159 -0.001019341
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0024868996 -0.0576871884 0.019422484 -6.883383e-04 3.303698e-01
  < 5 0.0008437695 -0.0701882996 0.002253753 -2.463585e-02 2.409961e-01
  < 10 -0.0001443290 -0.0002466777 0.001121325 6.106227e-05 -7.771561e-05
  ---
  > 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053549e-04 -4.984727e-02
  > 5 7.178744e-04 5.747480e-03 1.129392e-02 -1.283546e-02 -4.429300e-02
  > 10 9.392487e-08 -3.387472e-05 -4.378720e-07 -3.020417e-06 -2.192901e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0354857727 0.0209702570 -0.0149315923 -3.055403e-04 -0.1581335314
  > 5 -0.0005936259 -0.0333039186 -0.0012812647 6.028691e-03 0.1084203399
  > 10 0.0003219077 0.0001412597 0.0004636598 -6.284018e-05 -0.0001089583
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0021538327 -0.0578537218 0.0194230916 0.0009325873 0.3304044538
  > 5 0.0003774758 -0.0701438907 0.0008992806 -0.0247080134 0.2404298982
  > 10 -0.0003996803 -0.0002615963 0.0014099832 0.0001346145 0.0005218048
  2233,2243c2233,2243
  < 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536106e-04 4.348411e-02
  < 5 8.072448e-04 6.462999e-03 1.269993e-02 -1.443338e-02 -4.980715e-02
  < 10 -2.502443e-07 8.983374e-05 1.161848e-06 8.009773e-06 5.815393e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0227817765 -0.0450861570 0.0167896079 3.552714e-04 0.2209510352
  < 5 -0.0008881784 0.0449584814 -0.0024535929 2.400580e-02 -0.1635358515
  < 10 -0.0006772360 -0.0006623174 -0.0005884182 -5.689893e-05 -0.0003774758
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0083963309 0.0209369502 -0.012639676 -6.608116e-04 -0.1930604538
  < 5 0.0016490252 -0.1519756576 0.003348365 -4.320137e-02 0.5252868815
  < 10 -0.0007328049 0.0005589812 -0.001290493 6.548678e-06 -0.0009971373
  ---
  > 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536108e-04 4.348411e-02
  > 5 8.072450e-04 6.462999e-03 1.269993e-02 -1.443338e-02 -4.980715e-02
  > 10 -2.496892e-07 8.983374e-05 1.161959e-06 8.009801e-06 5.815393e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.0225153229 -0.0453082016 0.016787873 4.440892e-05 0.220927443
  > 5 -0.0002442491 0.0449085213 -0.002509104 2.395306e-02 -0.163613567
  > 10 -0.0007327472 -0.0006727258 -0.001432188 -2.539635e-04 -0.001221245
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0072639035 0.0224468535 -0.0126278795 0.0003827979 -0.1930042488
  > 5 0.0006942333 -0.1520755777 0.0023935732 -0.0431597399 0.5252202680
  > 10 0.0007104851 0.0006089412 0.0006746021 0.0002230422 0.0009679576
  2248,2258c2248,2258
  < 1 -0.02466725 -0.03881773 0.0002818689 -0.0004455033 0.0055523561
  < 5 -0.06354754 -0.02869930 0.0035964782 0.0454795475 -0.0030955767
  < 10 -1.18232018 -0.03474126 -0.0005452522 0.1935395358 -0.0005428681
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.070454753 -0.0499378316 -1.814000e-03 0.001731948 0.0107011622
  < 5 0.001665335 0.0005717649 8.881784e-05 -0.013175572 0.0002553513
  < 10 1.371169844 0.1646693198 1.143530e-03 -0.239892828 0.0009880985
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.2423394818 3.037237e-01 0.0029880612 -0.000288658 -0.0331665251
  < 5 0.0002220446 -3.885781e-05 -0.0005107026 -0.006189493 0.0004996004
  < 10 0.9967471293 -3.749223e-02 0.0009436896 0.036119718 0.0003219647
  ---
  > 1 -0.02466725 -0.03881773 0.0002818689 -0.0004455039 0.0055523561
  > 5 -0.06354754 -0.02869930 0.0035964780 0.0454795474 -0.0030955770
  > 10 -1.18232018 -0.03474126 -0.0005452517 0.1935395359 -0.0005428668
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.070432549 -0.0501487740 -0.0018135667 0.001110223 0.0107067133
  > 5 0.001887379 0.0006883383 0.0007993606 -0.013056223 0.0006439294
  > 10 1.371225355 0.1646707076 0.0008659740 -0.239881726 0.0013766766
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.2419398015 0.3037459173 0.0029897092 0.0001776357 -3.315681e-02
  > 5 0.0005329071 0.0001776357 -0.0003330669 -0.0062588823 -5.551115e-05
  > 10 0.9960476888 -0.0375255382 0.0002775558 0.0359462460 -8.215650e-04
  2263,2273c2263,2273
  < 1 -0.6264994451 4.100418e-03 0.0059716341 -0.00137778 -2.316509e-03
  < 5 -0.0204809042 7.100277e-03 -0.0176212369 0.05184110 -1.386693e-03
  < 10 -0.0003509966 -9.323608e-06 -0.0004380035 0.02437201 -2.752143e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.9787393118 0.0636823927 -0.015081859 0.0009992007 -0.0098324127
  < 5 -0.0008437695 -0.0002831069 -0.001065814 -0.0074523721 -0.0016098234
  < 10 0.0032418512 0.0001072059 0.004085621 -0.0935973521 -0.0002775558
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 1.339195421 -1.381451e-01 0.0305695573 2.220446e-05 0.0301529635
  < 5 0.001110223 6.106227e-05 0.0007993606 -1.229572e-03 0.0012434498
  < 10 -0.001409983 -3.642919e-05 -0.0014432899 5.285911e-02 0.0004107825
  ---
  > 1 -0.6264994450 4.100418e-03 0.0059716341 -0.00137778 -2.316509e-03
  > 5 -0.0204809040 7.100277e-03 -0.0176212369 0.05184110 -1.386693e-03
  > 10 -0.0003509967 -9.323611e-06 -0.0004380036 0.02437201 -2.752165e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.9778733379 6.297185e-02 -0.0150873238 -0.0005329071 -9.869883e-03
  > 5 0.0003774758 -4.440892e-05 0.0003996803 -0.0072247763 -2.109424e-04
  > 10 0.0027866598 9.714451e-05 0.0037414516 -0.0935918010 -4.440892e-05
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 1.3408163468 -1.364464e-01 0.0305797054 0.001332268 0.0302570469
  > 5 0.0004440892 -1.665335e-04 0.0001887379 -0.001409983 0.0002442491
  > 10 -0.0023980817 -6.349088e-05 -0.0026645353 0.052753635 -0.0004773959
  2278,2288c2278,2288
  < 1 0.0007378603 -0.0001109124 -0.0086395551 0.0007646158 -0.0003863349
  < 5 -0.0470257372 0.0487535607 0.0198264967 -0.0330590413 -0.0022706467
  < 10 -0.9267771053 0.0248761580 0.0001745568 -0.1488665938 -0.0001705667
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0003108624 0.0003996803 0.003209325 0.0007327472 1.526557e-05
  < 5 0.0014210855 -0.0228039809 -0.001332268 0.0002414735 -8.437695e-04
  < 10 0.9464096173 -0.0395392052 -0.001754152 0.5559566696 7.660539e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.001287859 -0.0007882583 -0.003366751 -0.0009325873 -1.526557e-05
  < 5 0.002264855 -0.0080990770 0.001243450 0.0002498002 1.409983e-03
  < 10 0.699096336 0.0428976299 0.002164935 -0.0012503887 4.773959e-04
  ---
  > 1 0.0007378604 -0.0001109126 -0.0086395551 0.0007646159 -0.0003863348
  > 5 -0.0470257371 0.0487535608 0.0198264970 -0.0330590412 -0.0022706467
  > 10 -0.9267771055 0.0248761580 0.0001745566 -0.1488665938 -0.0001705668
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0001221245 -0.0001998401 0.0032091517 -0.0003330669 5.551115e-06
  > 5 0.0022426505 -0.0227207142 -0.0002109424 0.0004579670 4.329870e-04
  > 10 0.9468759110 -0.0395319194 -0.0018429702 0.5559788741 1.587619e-03
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 5.551115e-04 0.0004884981 -3.358251e-03 5.329071e-04 2.567391e-05
  > 5 2.220446e-05 -0.0086042284 -8.881784e-05 -8.604228e-05 -5.551115e-04
  > 10 6.982193e-01 0.0428782010 7.549517e-04 -1.423861e-03 -1.543210e-03
  2293,2303c2293,2303
  < 1 -3.524204e-01 -0.0036737534 -5.345182e-03 -6.740855e-04 -2.293194e-02
  < 5 -1.545181e-03 0.0172112925 8.605979e-04 7.059142e-03 -1.421068e-03
  < 10 5.195844e-08 0.0001321922 -1.170619e-06 5.837886e-06 6.555867e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.7364331367 0.064259709 0.0068575354 3.108624e-04 -0.0356291385
  < 5 0.0005551115 -0.004696243 0.0002220446 -1.815215e-03 0.0002886580
  < 10 0.0002442491 -0.000859729 -0.0009769963 4.024558e-05 -0.0001332268
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.7281397707 -0.2377764652 -0.0064399874 -5.995204e-04 1.442874e-01
  < 5 0.0007771561 -0.0006050715 0.0013877788 1.026956e-04 1.110223e-05
  < 10 0.0001998401 0.0007056855 0.0001998401 -3.747003e-05 5.218048e-04
  ---
  > 1 -3.524204e-01 -0.0036737542 -5.345182e-03 -6.740863e-04 -2.293194e-02
  > 5 -1.545181e-03 0.0172112923 8.605977e-04 7.059142e-03 -1.421068e-03
  > 10 5.140333e-08 0.0001321922 -1.171396e-06 5.837802e-06 6.548095e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.7359002296 0.0638045172 0.006854413 -3.996803e-04 -0.0356506491
  > 5 -0.0003330669 -0.0049182880 -0.000432987 -1.892930e-03 -0.0002220446
  > 10 0.0001887379 -0.0008611167 -0.001199041 -1.665335e-05 -0.0001887379
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.7291278692 -0.2368327756 -0.006436952 8.881784e-05 1.443234e-01
  > 5 0.0005773160 -0.0003941292 0.001376677 5.273559e-05 4.440892e-05
  > 10 0.0007882583 0.0007140122 0.001076916 -1.665335e-05 9.436896e-04
  2308,2318c2308,2318
  < 1 0.1216288715 1.010428e-01 0.0129129544 9.811807e-05 0.0096845095
  < 5 0.0104474157 -1.010648e-01 -0.1919944500 1.673755e-01 -0.0132539839
  < 10 0.0004057651 -8.664638e-06 -0.0003809031 1.375035e-02 0.0000913275
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.060762506 -2.929545e-01 -0.007349937 2.220446e-05 0.041484871
  < 5 0.000865974 5.123679e-03 0.016153745 -1.263489e-01 0.002697842
  < 10 -0.002653433 8.673617e-05 0.002797762 -4.166667e-02 -0.001165734
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.5231814981 3.658185e-01 0.007811460 0.00184297 -5.670325e-02
  < 5 -0.0011990409 -3.758105e-03 -0.010191847 0.08143763 -1.909584e-03
  < 10 0.0007105427 -9.089951e-05 -0.003652634 0.03889666 5.551115e-05
  ---
  > 1 0.1216288720 1.010428e-01 0.0129129544 9.811785e-05 0.0096845095
  > 5 0.0104474158 -1.010648e-01 -0.1919944500 1.673755e-01 -0.0132539841
  > 10 0.0004057653 -8.664642e-06 -0.0003809031 1.375035e-02 0.0000913275
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0603517236 -0.2937317056 -0.007352365 -0.000577316 0.041457116
  > 5 -0.0004218847 0.0048183679 0.014765966 -0.126468280 0.001798561
  > 10 -0.0027422509 0.0000947159 0.003097522 -0.041652792 -0.001132427
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.5243028234 0.3660405312 0.007810506 0.001620926 -0.0566824365
  > 5 0.0000000000 -0.0035804693 -0.009081624 0.081445961 -0.0010436096
  > 10 0.0007882583 -0.0000915934 -0.003108624 0.038918868 -0.0001665335
  2323,2333c2323,2333
  < 1 -0.0004187254 0.000245435 -0.0005131758 0.000267768 -0.0010347530
  < 5 0.0281674577 0.270695098 0.0549985039 -0.139974312 -0.1044487197
  < 10 0.8782746199 -0.093315967 0.0005677642 -0.543805334 0.0004404503
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0001332268 0.0003774758 2.411266e-05 6.661338e-05 4.371503e-05
  < 5 -0.0004440892 0.1103450664 1.243450e-03 1.707717e-01 -9.943157e-02
  < 10 -1.0593637079 0.2127329563 -2.642331e-03 6.460846e-01 -1.576517e-03
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 9.992007e-05 -0.0001776357 -2.654127e-05 -0.0004884981 -1.040834e-05
  < 5 -2.375877e-03 -0.2460143200 -2.342571e-03 -0.0886318796 1.578515e-01
  < 10 -8.246737e-01 -0.1579441439 9.547918e-04 -0.1716529696 9.436896e-04
  ---
  > 1 -0.0004187246 0.0002454353 -0.0005131758 0.0002677683 -0.0010347530
  > 5 0.0281674578 0.2706950980 0.0549985044 -0.1399743114 -0.1044487195
  > 10 0.8782746196 -0.0933159674 0.0005677636 -0.5438053339 0.0004404499
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -2.220446e-05 -0.0002775558 1.708703e-05 -0.0003996803 -7.632783e-06
  > 5 -1.110223e-04 0.1102951064 2.109424e-03 0.1708577724 -9.884316e-02
  > 10 -1.059053e+00 0.2127523852 -2.264855e-03 0.6461386981 -5.884182e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0001554312 0.0002997602 -2.237793e-05 0.0003552714 2.567391e-05
  > 5 -0.0015765167 -0.2457700710 -2.553513e-03 -0.0884847751 1.585510e-01
  > 10 -0.8247735828 -0.1579583686 -3.330669e-04 -0.1717792575 -1.443290e-04
  2338,2348c2338,2348
  < 1 7.726916e-02 2.462559e-01 1.444145e-02 -1.702302e-04 -0.0011435364
  < 5 -1.669579e-03 2.395467e-02 -3.079980e-02 3.115252e-02 0.1865715714
  < 10 -4.757306e-07 -9.647318e-07 5.882406e-06 2.540028e-05 0.0002437452
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0918043419 -0.3098965529 -0.007520720 2.220446e-05 -0.052535754
  < 5 0.0004218847 0.2527700271 0.003863576 -4.347078e-02 0.217614815
  < 10 0.0022870594 0.0000520417 0.001998401 4.163336e-06 0.002509104
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.3157585304 3.829825e-01 0.008045561 -0.0003774758 0.067361394
  < 5 0.0007105427 -4.362011e-01 -0.002853273 0.0376088050 -0.314659410
  < 10 -0.0011324275 -3.226586e-05 -0.001065814 0.0004135581 -0.001065814
  ---
  > 1 7.726916e-02 2.462559e-01 1.444145e-02 -1.702297e-04 -0.0011435364
  > 5 -1.669579e-03 2.395467e-02 -3.079980e-02 3.115252e-02 0.1865715716
  > 10 -4.753975e-07 -9.647352e-07 5.882517e-06 2.540022e-05 0.0002437452
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.091981978 -3.098410e-01 -0.007521241 0.0004440892 -0.052521182
  > 5 0.001065814 2.530143e-01 0.004174439 -0.0433819647 0.217981189
  > 10 0.001287859 3.469447e-05 0.001176836 -0.0001679212 0.001054712
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.3145705918 3.837486e-01 0.0080528466 -0.0004884981 0.0673676392
  > 5 -0.0026201263 -4.370670e-01 -0.0054956040 0.0371730424 -0.3167244245
  > 10 -0.0009325873 -8.326673e-06 -0.0005107026 0.0002609024 -0.0004551914
  2353,2363c2353,2363
  < 1 -0.003537293 3.440870e-05 0.0002428329 0.0072136683 -0.0046351080
  < 5 0.010450845 -7.184590e-02 -0.4796558328 -0.4060867921 -0.0302073596
  < 10 0.001176698 -5.155399e-05 -0.0023774810 -0.0002928755 0.0001158902
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.000288658 -5.551115e-05 -6.071532e-07 8.881784e-05 7.285839e-05
  < 5 -0.002575717 3.069212e-02 1.625589e-01 3.091138e-02 2.347011e-02
  < 10 -0.009614531 5.235395e-04 1.744160e-02 2.714495e-03 6.217249e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0003441691 0.0003885781 2.255141e-06 0.0001332268 2.081668e-06
  < 5 0.0014654944 -0.0252631249 -1.195488e-01 -0.0255045984 -2.150502e-02
  < 10 0.0047073456 -0.0004336809 -1.513234e-02 -0.0021246893 -1.032507e-03
  ---
  > 1 -0.003537293 3.440803e-05 0.0002428329 0.0072136680 -0.0046351080
  > 5 0.010450845 -7.184590e-02 -0.4796558331 -0.4060867921 -0.0302073598
  > 10 0.001176697 -5.155399e-05 -0.0023774812 -0.0002928755 0.0001158896
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0002997602 0.0005662137 -1.214306e-06 -0.0004218847 6.383782e-05
  > 5 -0.0031308289 0.0307975867 1.624256e-01 0.0309252624 2.355893e-02
  > 10 -0.0086153307 0.0005530298 1.820766e-02 0.0028338443 1.709743e-03
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.0005218048 -0.0009547918 7.806256e-07 0.0007105427 9.020562e-06
  > 5 0.0019539925 -0.0252076138 -1.190603e-01 -0.0254157806 -2.139400e-02
  > 10 0.0053623772 -0.0004319461 -1.452172e-02 -0.0020719537 -7.771561e-05
  2368,2378c2368,2378
  < 1 1.647730e-01 1.403681e-02 1.852824e-01 -3.873933e-03 -1.597542e-01
  < 5 -2.170963e-04 -6.116294e-04 -1.486475e-02 5.543505e-02 -1.588004e-02
  < 10 4.794942e-06 2.072995e-08 5.888179e-06 7.576717e-07 5.888845e-06
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.356781271 6.461498e-03 -0.1078134977 0.0009547918 -4.961018e-01
  < 5 -0.001199041 2.609024e-04 -0.0001887379 -0.0599631456 -1.110223e-05
  < 10 -0.001454392 -2.046974e-05 -0.0013100632 -0.0002109424 -1.498801e-03
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.293332025 0.0348165941 0.1061049686 -0.0018429702 0.6975177380
  < 5 0.001332268 -0.0002886580 0.0001554312 0.0629690744 0.0002331468
  < 10 0.001354472 0.0000357353 0.0010991208 0.0001387779 0.0008992806
  ---
  > 1 1.647730e-01 1.403681e-02 1.852824e-01 -3.873932e-03 -1.597542e-01
  > 5 -2.170970e-04 -6.116294e-04 -1.486475e-02 5.543505e-02 -1.588004e-02
  > 10 4.794276e-06 2.072301e-08 5.887957e-06 7.576301e-07 5.888623e-06
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.356625840 6.306067e-03 -1.078121e-01 0.0011990409 -0.4960955258
  > 5 -0.002287059 -2.220446e-05 -5.551115e-05 -0.0599270633 -0.0004551914
  > 10 -0.001054712 -1.491862e-05 -1.065814e-03 -0.0001956768 -0.0012101431
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.2923661313 3.578249e-02 0.1061112136 -2.220446e-05 0.6975545142
  > 5 0.0023314684 -4.996004e-05 0.0005218048 6.294687e-02 0.0007105427
  > 10 0.0003108624 2.012279e-05 0.0003330669 -1.387779e-06 0.0004218847
  2383,2393c2383,2393
  < 1 -2.102101e-03 -1.014505e-04 -3.360329e-02 4.544331e-03 9.415917e-05
  < 5 -4.594582e-04 -6.481625e-02 -1.034060e-02 -3.817983e-02 2.805260e-01
  < 10 -5.136447e-06 7.264794e-05 -3.151146e-06 -3.943110e-06 1.647006e-04
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0009992007 6.661338e-05 0.003119987 -4.884981e-04 -1.387779e-05
  < 5 0.0010658141 -6.480927e-02 0.005651035 1.901840e-01 3.202549e-01
  < 10 -0.0001887379 -7.018691e-04 -0.000721645 -1.110223e-05 -4.440892e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0008881784 0.0004773959 -0.002395740 0.0000000000 -2.081668e-06
  < 5 0.0001998401 0.1233180225 -0.003108624 -0.2745526029 -5.324408e-01
  < 10 -0.0009769963 0.0007691764 -0.001521006 -0.0001804112 -1.210143e-03
  ---
  > 1 -2.102100e-03 -1.014494e-04 -3.360329e-02 4.544332e-03 9.415917e-05
  > 5 -4.594578e-04 -6.481625e-02 -1.034060e-02 -3.817983e-02 2.805260e-01
  > 10 -5.136336e-06 7.264794e-05 -3.151590e-06 -3.943137e-06 1.647004e-04
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0002109424 0.0017874591 0.0031186859 -3.330669e-04 1.040834e-05
  > 5 0.0006439294 -0.0650257626 0.0056288307 1.901118e-01 3.198886e-01
  > 10 -0.0001110223 -0.0006918077 -0.0007993606 1.804112e-05 -1.665335e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0002442491 -0.0005551115 -0.0023992960 -4.662937e-04 -1.804112e-05
  > 5 0.0003108624 0.1232181024 -0.0034638958 -2.745498e-01 -5.325851e-01
  > 10 -0.0002997602 0.0007757683 -0.0006217249 -7.077672e-05 -5.440093e-04
  2397,2411c2397,2411
  < d_y1_d_x1 -1.563915e-01 0.0916347386 -0.1914359599 1.669985e-01 0.0304158300
  < d_y2_d_x1 4.175927e-04 -0.0361629797 0.0005111669 -4.459151e-04 0.0702945169
  < d_y3_d_x1 -3.407720e-03 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964602
  < d_y4_d_x1 -9.140888e-05 -0.0001078717 -0.0001118933 9.760870e-05 -0.0001342124
  < d_y5_d_x1 1.258768e-03 0.0001281769 0.0015408346 -1.344142e-03 0.0028022777
  < d_y1_d_x2 1.795453e-01 0.0000000000 0.4678725783 -1.915801e-01 -0.0026423308
  < d_y2_d_x2 3.708145e-02 0.0000000000 0.0085610959 -4.010126e-02 -0.1627920021
  < d_y3_d_x2 8.788543e-03 0.0000000000 0.0081979202 -9.390579e-03 -0.0027718279
  < d_y4_d_x2 -3.996803e-04 0.0000000000 0.0016044635 -4.440892e-05 -0.0004218847
  < d_y5_d_x2 -2.671474e-04 0.0000000000 -0.0015129239 3.559653e-04 0.0299732461
  < d_y1_d_x3 4.713230e-01 0.0000000000 0.5774491996 -2.559484e-01 -0.1563416063
  < d_y2_d_x3 -9.071632e-02 0.0000000000 -0.1108224623 6.211825e-02 0.2026934176
  < d_y3_d_x3 -1.212468e-02 0.0000000000 -0.0148316255 1.038150e-02 0.0030224087
  < d_y4_d_x3 -6.439294e-04 0.0000000000 -0.0011102230 5.742407e-06 -0.0005551115
  < d_y5_d_x3 -3.163442e-03 0.0000000000 -0.0038295755 2.213956e-03 -0.0393074462
  ---
  > d_y1_d_x1 -0.1563914767 0.0916347381 -0.1914359595 1.669985e-01 0.0304158301
  > d_y2_d_x1 0.0004175918 -0.0361629801 0.0005111674 -4.459150e-04 0.0702945167
  > d_y3_d_x1 -0.0034077201 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964603
  > d_y4_d_x1 -0.0000914101 -0.0001078725 -0.0001118924 9.760925e-05 -0.0001342124
  > d_y5_d_x1 0.0012587677 0.0001281769 0.0015408346 -1.344142e-03 0.0028022777
  > d_y1_d_x2 0.1785016579 0.0000000000 0.4676505335 -1.918132e-01 -0.0017874591
  > d_y2_d_x2 0.0368594044 0.0000000000 0.0082391312 -3.943512e-02 -0.1621813794
  > d_y3_d_x2 0.0087862877 0.0000000000 0.0082012162 -9.385721e-03 -0.0027707871
  > d_y4_d_x2 -0.0010214052 0.0000000000 0.0006496715 -1.110223e-04 -0.0001776357
  > d_y5_d_x2 -0.0003004541 0.0000000000 -0.0015143116 3.989864e-04 0.0299947567
  > d_y1_d_x3 0.4700240197 0.0000000000 0.5775824263 -2.544274e-01 -0.1587951992
  > d_y2_d_x3 -0.0920929999 0.0000000000 -0.1112443471 6.219597e-02 0.2018163414
  > d_y3_d_x3 -0.0121292733 0.0000000000 -0.0148305847 1.038419e-02 0.0030158168
  > d_y4_d_x3 -0.0014210855 0.0000000000 -0.0019761970 6.496718e-04 -0.0011546319
  > d_y5_d_x3 -0.0031502578 0.0000000000 -0.0038392900 2.245875e-03 -0.0393067523
  2413,2427c2413,2427
  < d_y1_d_x1 -0.0282392830 0.0372314637 -0.0324787444 5.957166e-02 -0.035391625
  < d_y2_d_x1 0.1850031566 0.0860462385 -0.0750621513 1.341879e-02 0.050566120
  < d_y3_d_x1 0.0047965524 0.0052592188 -0.0045878621 7.227873e-02 0.086981753
  < d_y4_d_x1 -0.0001283527 -0.0001642869 0.0001433155 -7.605944e-04 -0.000768038
  < d_y5_d_x1 -0.0079661264 0.0034302172 -0.0029923386 -1.288056e-02 0.015655165
  < d_y1_d_x2 0.0000000000 -0.0621190087 0.0021538327 -6.444845e-02 0.000000000
  < d_y2_d_x2 0.0000000000 -0.0854090604 0.1729949517 -4.639622e-02 0.000000000
  < d_y3_d_x2 0.0000000000 -0.0028956290 0.0029630812 -5.613799e-02 0.000000000
  < d_y4_d_x2 0.0000000000 -0.0009489323 0.0003108624 -4.440892e-05 0.000000000
  < d_y5_d_x2 0.0000000000 0.0258752006 -0.0320569959 -5.733469e-02 0.000000000
  < d_y1_d_x3 0.0000000000 -0.1915467784 0.1085222702 -1.861844e-01 0.000000000
  < d_y2_d_x3 0.0000000000 0.2493227846 -0.1024509838 7.132073e-02 0.000000000
  < d_y3_d_x3 0.0000000000 0.0037039816 -0.0027290955 5.760297e-02 0.000000000
  < d_y4_d_x3 0.0000000000 0.0008437695 -0.0011931814 -1.088019e-03 0.000000000
  < d_y5_d_x3 0.0000000000 -0.0480677997 0.0311702706 7.666784e-02 0.000000000
  ---
  > d_y1_d_x1 -0.0282392827 0.0372314635 -0.0324787444 0.0595716566 -0.0353916250
  > d_y2_d_x1 0.1850031566 0.0860462380 -0.0750621514 0.0134187921 0.0505661196
  > d_y3_d_x1 0.0047965525 0.0052592188 -0.0045878621 0.0722787329 0.0869817532
  > d_y4_d_x1 -0.0001283527 -0.0001642868 0.0001433151 -0.0007605947 -0.0007680381
  > d_y5_d_x1 -0.0079661264 0.0034302172 -0.0029923386 -0.0128805561 0.0156551650
  > d_y1_d_x2 0.0000000000 -0.0610087855 0.0013655743 -0.0649813536 0.0000000000
  > d_y2_d_x2 0.0000000000 -0.0840989970 0.1729172361 -0.0467403893 0.0000000000
  > d_y3_d_x2 0.0000000000 -0.0028929402 0.0029592648 -0.0561438916 0.0000000000
  > d_y4_d_x2 0.0000000000 -0.0002161851 -0.0014210855 -0.0005995204 0.0000000000
  > d_y5_d_x2 0.0000000000 0.0259910802 -0.0320757310 -0.0573589787 0.0000000000
  > d_y1_d_x3 0.0000000000 -0.1923905479 0.1096546977 -0.1853406317 0.0000000000
  > d_y2_d_x3 0.0000000000 0.2493227846 -0.1023288592 0.0720867810 0.0000000000
  > d_y3_d_x3 0.0000000000 0.0037018999 -0.0027282282 0.0576060033 0.0000000000
  > d_y4_d_x3 0.0000000000 0.0015099033 0.0012049003 -0.0002664535 0.0000000000
  > d_y5_d_x3 0.0000000000 -0.0481024942 0.0311550050 0.0766837982 0.0000000000
  2429,2443c2429,2443
  < d_y1_d_x1 0.0729205810 -0.0636120275 -5.028644e-04 -5.028740e-04 -6.155474e-04
  < d_y2_d_x1 0.0164256996 -0.0143289044 -9.699241e-06 -9.699352e-06 -1.187306e-05
  < d_y3_d_x1 0.0884750814 -0.0771809445 -1.765219e-02 -1.800810e-02 -2.160772e-02
  < d_y4_d_x1 -0.0009310296 0.0008121802 9.921307e-04 9.921314e-04 1.214449e-03
  < d_y5_d_x1 -0.0157668542 0.0137541631 -1.212553e-03 -1.213108e-03 -1.484263e-03
  < d_y1_d_x2 -0.1735892761 0.0680899781 -7.327472e-04 0.000000e+00 3.774663e-04
  < d_y2_d_x2 -0.0193519223 0.0497157870 -7.660539e-04 0.000000e+00 4.440903e-05
  < d_y3_d_x2 -0.0540208258 0.0599439769 2.223395e-03 0.000000e+00 2.368465e-03
  < d_y4_d_x2 -0.0003627149 0.0001776357 1.998401e-04 0.000000e+00 3.996812e-04
  < d_y5_d_x2 -0.0417511109 0.0612690454 -1.387779e-05 0.000000e+00 -2.137211e-05
  < d_y1_d_x3 -0.2281286271 0.1050878051 -4.107825e-04 0.000000e+00 -9.214851e-04
  < d_y2_d_x3 0.0877742323 -0.0406348973 -6.106227e-04 0.000000e+00 -6.994405e-04
  < d_y3_d_x3 0.0705165960 -0.0468051567 -1.816169e-03 0.000000e+00 -2.221053e-03
  < d_y4_d_x3 -0.0003774758 0.0017467086 -1.088019e-03 0.000000e+00 -8.437695e-04
  < d_y5_d_x3 0.0938235600 -0.0532766136 -5.412337e-05 0.000000e+00 -6.869505e-05
  ---
  > d_y1_d_x1 7.292058e-02 -0.0636120274 -5.028642e-04 -5.028739e-04 -6.155476e-04
  > d_y2_d_x1 1.642570e-02 -0.0143289044 -9.699463e-06 -9.699463e-06 -1.187317e-05
  > d_y3_d_x1 8.847508e-02 -0.0771809445 -1.765219e-02 -1.800810e-02 -2.160772e-02
  > d_y4_d_x1 -9.310297e-04 0.0008121808 9.921306e-04 9.921313e-04 1.214449e-03
  > d_y5_d_x1 -1.576685e-02 0.0137541631 -1.212553e-03 -1.213108e-03 -1.484263e-03
  > d_y1_d_x2 -1.731785e-01 0.0688005208 4.440892e-05 0.000000e+00 8.104529e-04
  > d_y2_d_x2 -1.908547e-02 0.0499600361 -1.221245e-04 0.000000e+00 6.661327e-05
  > d_y3_d_x2 -5.401285e-02 0.0599465790 2.225390e-03 0.000000e+00 2.367338e-03
  > d_y4_d_x2 3.256235e-04 0.0004440892 5.107026e-04 0.000000e+00 1.776365e-04
  > d_y5_d_x2 -4.171295e-02 0.0612773721 -5.551115e-06 0.000000e+00 -2.969880e-05
  > d_y1_d_x3 -2.276179e-01 0.1034446753 1.110223e-05 0.000000e+00 -1.998401e-04
  > d_y2_d_x3 8.837375e-02 -0.0412677243 2.220446e-05 0.000000e+00 -1.554312e-04
  > d_y3_d_x3 7.051330e-02 -0.0468096670 -1.810271e-03 0.000000e+00 -2.213507e-03
  > d_y4_d_x3 8.881784e-05 0.0010583706 1.332268e-04 0.000000e+00 0.000000e+00
  > d_y5_d_x3 9.386866e-02 -0.0533015936 6.938894e-06 0.000000e+00 -1.387779e-05
  2445,2459c2445,2459
  < d_y1_d_x1 5.369707e-04 0.0081975019 -0.0012646431 0.0100344134 -0.0087534868
  < d_y2_d_x1 1.035694e-05 -0.0220481802 -0.0517929112 -0.0269887757 0.0235435695
  < d_y3_d_x1 1.884942e-02 0.0225814660 0.0268916000 0.0276415615 -0.0241130247
  < d_y4_d_x1 -1.059421e-03 -0.0003311508 -0.0003258284 -0.0004053551 0.0003536106
  < d_y5_d_x1 1.294792e-03 -0.0407221762 0.0544513899 -0.0498472747 0.0434841051
  < d_y1_d_x2 6.661338e-05 -0.0208610906 0.0000000000 -0.0349084567 0.0227817765
  < d_y2_d_x2 1.443290e-04 0.0419997370 0.0000000000 0.0207371104 -0.0450861570
  < d_y3_d_x2 -2.382643e-03 -0.0157263091 0.0000000000 -0.0149353220 0.0167896079
  < d_y4_d_x2 -7.105427e-04 0.0000000000 0.0000000000 0.0002273669 0.0003552714
  < d_y5_d_x2 -5.551115e-06 -0.2069282246 0.0000000000 -0.1580953675 0.2209510352
  < d_y1_d_x3 6.106131e-04 -0.0016875390 0.0000000000 -0.0024868996 -0.0083963309
  < d_y2_d_x3 3.219647e-04 -0.0483169060 0.0000000000 -0.0576871884 0.0209369502
  < d_y3_d_x3 1.586539e-03 0.0158742811 0.0000000000 0.0194224845 -0.0126396756
  < d_y4_d_x3 9.547927e-04 0.0004440892 0.0000000000 -0.0006883383 -0.0006608116
  < d_y5_d_x3 2.026126e-05 0.2699361568 0.0000000000 0.3303697593 -0.1930604538
  ---
  > d_y1_d_x1 5.369704e-04 0.0081975018 -0.0012646431 0.0100344131 -8.753487e-03
  > d_y2_d_x1 1.035705e-05 -0.0220481803 -0.0517929113 -0.0269887754 2.354357e-02
  > d_y3_d_x1 1.884942e-02 0.0225814660 0.0268916000 0.0276415615 -2.411302e-02
  > d_y4_d_x1 -1.059421e-03 -0.0003311511 -0.0003258285 -0.0004053549 3.536108e-04
  > d_y5_d_x1 1.294792e-03 -0.0407221763 0.0544513899 -0.0498472747 4.348411e-02
  > d_y1_d_x2 2.442491e-04 -0.0211608508 0.0000000000 -0.0354857727 2.251532e-02
  > d_y2_d_x2 2.553513e-04 0.0427768931 0.0000000000 0.0209702570 -4.530820e-02
  > d_y3_d_x2 -2.381862e-03 -0.0157217989 0.0000000000 -0.0149315923 1.678787e-02
  > d_y4_d_x2 -3.552714e-04 0.0004218847 0.0000000000 -0.0003055403 4.440892e-05
  > d_y5_d_x2 1.595946e-05 -0.2069115712 0.0000000000 -0.1581335314 2.209274e-01
  > d_y1_d_x3 8.880835e-05 -0.0018540725 0.0000000000 -0.0021538327 -7.263903e-03
  > d_y2_d_x3 -1.221245e-04 -0.0475619544 0.0000000000 -0.0578537218 2.244685e-02
  > d_y3_d_x3 1.580814e-03 0.0158729800 0.0000000000 0.0194230916 -1.262788e-02
  > d_y4_d_x3 -3.774749e-04 -0.0001110223 0.0000000000 0.0009325873 3.827979e-04
  > d_y5_d_x3 -2.900488e-05 0.2699132584 0.0000000000 0.3304044538 -1.930042e-01
  2461,2475c2461,2475
  < d_y1_d_x1 -0.0246672506 -6.264994e-01 7.378603e-04 -0.3524203658 1.216289e-01
  < d_y2_d_x1 -0.0388177317 4.100418e-03 -1.109124e-04 -0.0036737534 1.010428e-01
  < d_y3_d_x1 0.0002818689 5.971634e-03 -8.639555e-03 -0.0053451821 1.291295e-02
  < d_y4_d_x1 -0.0004455033 -1.377780e-03 7.646158e-04 -0.0006740855 9.811807e-05
  < d_y5_d_x1 0.0055523561 -2.316509e-03 -3.863349e-04 -0.0229319393 9.684509e-03
  < d_y1_d_x2 -0.0704547531 9.787393e-01 3.108624e-04 0.7364331367 -6.076251e-02
  < d_y2_d_x2 -0.0499378316 6.368239e-02 3.996803e-04 0.0642597087 -2.929545e-01
  < d_y3_d_x2 -0.0018140003 -1.508186e-02 3.209325e-03 0.0068575354 -7.349937e-03
  < d_y4_d_x2 0.0017319479 9.992007e-04 7.327472e-04 0.0003108624 2.220446e-05
  < d_y5_d_x2 0.0107011622 -9.832413e-03 1.526557e-05 -0.0356291385 4.148487e-02
  < d_y1_d_x3 0.2423394818 1.339195e+00 -1.287859e-03 0.7281397707 -5.231815e-01
  < d_y2_d_x3 0.3037237128 -1.381451e-01 -7.882583e-04 -0.2377764652 3.658185e-01
  < d_y3_d_x3 0.0029880612 3.056956e-02 -3.366751e-03 -0.0064399874 7.811460e-03
  < d_y4_d_x3 -0.0002886580 2.220446e-05 -9.325873e-04 -0.0005995204 1.842970e-03
  < d_y5_d_x3 -0.0331665251 3.015296e-02 -1.526557e-05 0.1442873598 -5.670325e-02
  ---
  > d_y1_d_x1 -0.0246672512 -0.6264994450 7.378604e-04 -3.524204e-01 1.216289e-01
  > d_y2_d_x1 -0.0388177324 0.0041004180 -1.109126e-04 -3.673754e-03 1.010428e-01
  > d_y3_d_x1 0.0002818689 0.0059716341 -8.639555e-03 -5.345182e-03 1.291295e-02
  > d_y4_d_x1 -0.0004455039 -0.0013777802 7.646159e-04 -6.740863e-04 9.811785e-05
  > d_y5_d_x1 0.0055523561 -0.0023165090 -3.863348e-04 -2.293194e-02 9.684509e-03
  > d_y1_d_x2 -0.0704325487 0.9778733379 -1.221245e-04 7.359002e-01 -6.035172e-02
  > d_y2_d_x2 -0.0501487740 0.0629718500 -1.998401e-04 6.380452e-02 -2.937317e-01
  > d_y3_d_x2 -0.0018135667 -0.0150873238 3.209152e-03 6.854413e-03 -7.352365e-03
  > d_y4_d_x2 0.0011102230 -0.0005329071 -3.330669e-04 -3.996803e-04 -5.773160e-04
  > d_y5_d_x2 0.0107067133 -0.0098698827 5.551115e-06 -3.565065e-02 4.145712e-02
  > d_y1_d_x3 0.2419398015 1.3408163468 5.551115e-04 7.291279e-01 -5.243028e-01
  > d_y2_d_x3 0.3037459173 -0.1364464097 4.884981e-04 -2.368328e-01 3.660405e-01
  > d_y3_d_x3 0.0029897092 0.0305797054 -3.358251e-03 -6.436952e-03 7.810506e-03
  > d_y4_d_x3 0.0001776357 0.0013322676 5.329071e-04 8.881784e-05 1.620926e-03
  > d_y5_d_x3 -0.0331568106 0.0302570469 2.567391e-05 1.443234e-01 -5.668244e-02
  2477,2491c2477,2491
  < d_y1_d_x1 -4.187254e-04 7.726916e-02 -3.537293e-03 0.1647729926 -2.102101e-03
  < d_y2_d_x1 2.454350e-04 2.462559e-01 3.440870e-05 0.0140368146 -1.014505e-04
  < d_y3_d_x1 -5.131758e-04 1.444145e-02 2.428329e-04 0.1852824234 -3.360329e-02
  < d_y4_d_x1 2.677680e-04 -1.702302e-04 7.213668e-03 -0.0038739325 4.544331e-03
  < d_y5_d_x1 -1.034753e-03 -1.143536e-03 -4.635108e-03 -0.1597542283 9.415917e-05
  < d_y1_d_x2 1.332268e-04 -9.180434e-02 2.886580e-04 -0.3567812712 -9.992007e-04
  < d_y2_d_x2 3.774758e-04 -3.098966e-01 -5.551115e-05 0.0064614980 6.661338e-05
  < d_y3_d_x2 2.411266e-05 -7.520720e-03 -6.071532e-07 -0.1078134977 3.119987e-03
  < d_y4_d_x2 6.661338e-05 2.220446e-05 8.881784e-05 0.0009547918 -4.884981e-04
  < d_y5_d_x2 4.371503e-05 -5.253575e-02 7.285839e-05 -0.4961017708 -1.387779e-05
  < d_y1_d_x3 9.992007e-05 -3.157585e-01 -3.441691e-04 -0.2933320253 8.881784e-04
  < d_y2_d_x3 -1.776357e-04 3.829825e-01 3.885781e-04 0.0348165941 4.773959e-04
  < d_y3_d_x3 -2.654127e-05 8.045561e-03 2.255141e-06 0.1061049686 -2.395740e-03
  < d_y4_d_x3 -4.884981e-04 -3.774758e-04 1.332268e-04 -0.0018429702 0.000000e+00
  < d_y5_d_x3 -1.040834e-05 6.736139e-02 2.081668e-06 0.6975177380 -2.081668e-06
  ---
  > d_y1_d_x1 -4.187246e-04 0.0772691643 -3.537293e-03 1.647730e-01 -2.102100e-03
  > d_y2_d_x1 2.454353e-04 0.2462559053 3.440803e-05 1.403681e-02 -1.014494e-04
  > d_y3_d_x1 -5.131758e-04 0.0144414535 2.428329e-04 1.852824e-01 -3.360329e-02
  > d_y4_d_x1 2.677683e-04 -0.0001702297 7.213668e-03 -3.873932e-03 4.544332e-03
  > d_y5_d_x1 -1.034753e-03 -0.0011435364 -4.635108e-03 -1.597542e-01 9.415917e-05
  > d_y1_d_x2 -2.220446e-05 -0.0919819776 -2.997602e-04 -3.566258e-01 -2.109424e-04
  > d_y2_d_x2 -2.775558e-04 -0.3098410417 5.662137e-04 6.306067e-03 1.787459e-03
  > d_y3_d_x2 1.708703e-05 -0.0075212406 -1.214306e-06 -1.078121e-01 3.118686e-03
  > d_y4_d_x2 -3.996803e-04 0.0004440892 -4.218847e-04 1.199041e-03 -3.330669e-04
  > d_y5_d_x2 -7.632783e-06 -0.0525211818 6.383782e-05 -4.960955e-01 1.040834e-05
  > d_y1_d_x3 -1.554312e-04 -0.3145705918 5.218048e-04 -2.923661e-01 -2.442491e-04
  > d_y2_d_x3 2.997602e-04 0.3837485885 -9.547918e-04 3.578249e-02 -5.551115e-04
  > d_y3_d_x3 -2.237793e-05 0.0080528466 7.806256e-07 1.061112e-01 -2.399296e-03
  > d_y4_d_x3 3.552714e-04 -0.0004884981 7.105427e-04 -2.220446e-05 -4.662937e-04
  > d_y5_d_x3 2.567391e-05 0.0673676392 9.020562e-06 6.975545e-01 -1.804112e-05
  2499,2500c2499,2500
  < 1: d_y1_d_x2 -1.531e-01 1.406e+00 -0.109 0.913
  < 1: d_y2_d_x2 7.794e-02 5.183e-01 0.150 0.880
  ---
  > 1: d_y1_d_x2 -1.531e-01 1.405e+00 -0.109 0.913
  > 1: d_y2_d_x2 7.794e-02 5.182e-01 0.150 0.880
  2502c2502
  < 1: d_y4_d_x2 2.593e-05 3.279e-03 0.008 0.994
  ---
  > 1: d_y4_d_x2 2.593e-05 3.022e-03 0.009 0.993
  2504,2505c2504,2505
  < 1: d_y1_d_x3 -3.632e-01 1.906e+00 -0.191 0.849
  < 1: d_y2_d_x3 -8.944e-02 7.799e-01 -0.115 0.909
  ---
  > 1: d_y1_d_x3 -3.632e-01 1.907e+00 -0.190 0.849
  > 1: d_y2_d_x3 -8.944e-02 7.800e-01 -0.115 0.909
  2507c2507
  < 1: d_y4_d_x3 1.592e-05 4.570e-03 0.003 0.997
  ---
  > 1: d_y4_d_x3 1.592e-05 4.429e-03 0.004 0.997
  2514,2516c2514,2516
  < 2: d_y1_d_x2 6.220e-05 4.946e-03 0.013 0.990
  < 2: d_y2_d_x2 2.744e-01 4.857e-01 0.565 0.572
  < 2: d_y3_d_x2 -8.325e-03 1.800e-01 -0.046 0.963
  ---
  > 2: d_y1_d_x2 6.220e-05 6.198e-03 0.010 0.992
  > 2: d_y2_d_x2 2.744e-01 4.860e-01 0.565 0.572
  > 2: d_y3_d_x2 -8.325e-03 1.794e-01 -0.046 0.963
  2518,2523c2518,2523
  < 2: d_y5_d_x2 -2.375e-01 5.925e-01 -0.401 0.689
  < 2: d_y1_d_x3 -1.089e-04 5.212e-03 -0.021 0.983
  < 2: d_y2_d_x3 -5.189e-01 9.408e-01 -0.552 0.581
  < 2: d_y3_d_x3 6.280e-03 1.341e-01 0.047 0.963
  < 2: d_y4_d_x3 -2.654e-01 7.647e-01 -0.347 0.729
  < 2: d_y5_d_x3 3.941e-01 1.085e+00 0.363 0.716
  ---
  > 2: d_y5_d_x2 -2.375e-01 5.920e-01 -0.401 0.688
  > 2: d_y1_d_x3 -1.089e-04 7.327e-03 -0.015 0.988
  > 2: d_y2_d_x3 -5.189e-01 9.409e-01 -0.552 0.581
  > 2: d_y3_d_x3 6.280e-03 1.340e-01 0.047 0.963
  > 2: d_y4_d_x3 -2.654e-01 7.646e-01 -0.347 0.728
  > 2: d_y5_d_x3 3.941e-01 1.086e+00 0.363 0.717
  2531,2534c2531,2534
  < 3: d_y3_d_x2 -8.285e-04 2.074e-02 -0.040 0.968
  < 3: d_y4_d_x2 2.539e-01 1.118e+00 0.227 0.820
  < 3: d_y5_d_x2 -2.282e-04 5.182e-03 -0.044 0.965
  < 3: d_y1_d_x3 -1.859e-01 1.683e+00 -0.110 0.912
  ---
  > 3: d_y3_d_x2 -8.285e-04 2.084e-02 -0.040 0.968
  > 3: d_y4_d_x2 2.539e-01 1.119e+00 0.227 0.820
  > 3: d_y5_d_x2 -2.282e-04 4.517e-03 -0.051 0.960
  > 3: d_y1_d_x3 -1.859e-01 1.682e+00 -0.111 0.912
  2536,2538c2536,2538
  < 3: d_y3_d_x3 3.932e-04 1.764e-02 0.022 0.982
  < 3: d_y4_d_x3 -1.184e-01 2.719e-01 -0.435 0.663
  < 3: d_y5_d_x3 -6.966e-05 5.029e-03 -0.014 0.989
  ---
  > 3: d_y3_d_x3 3.932e-04 1.682e-02 0.023 0.981
  > 3: d_y4_d_x3 -1.184e-01 2.720e-01 -0.435 0.663
  > 3: d_y5_d_x3 -6.966e-05 4.765e-03 -0.015 0.988
  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 -0.0794618801 0.09748031 -0.231719997 -0.476619673 -0.05027849
  < 2 0.29764165 -0.2638440495 0.71557329 -0.376634162 -0.293330954 -0.19289558
  < 3 0.10102181 -0.9476729325 0.55297944 -0.729624222 -0.020067962 -0.21988587
  < 4 0.23644030 -0.4620368536 0.41272904 -0.391738294 -0.255294251 -0.41586935
  < 5 0.27437812 -0.0006287482 0.20363074 -0.334757552 -0.006580414 -0.51893323
  < 6 0.03001197 -0.0282737934 0.16990098 -0.013512968 -0.226915097 -0.03125366
  < 7 0.03452663 -0.2797232532 0.07204689 -0.189716053 -0.204170445 -0.04175822
  < 8 0.04346550 -0.0039813283 0.09720844 -0.007732508 -0.229714047 -0.07128998
  < 9 0.46606545 -0.2287772335 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 0.001022829 -0.24949901 0.541962486
  < 6 0.020136173 -0.11025144 0.020705656
  < 7 0.207892066 -0.05152273 0.272450183
  < 8 0.002910299 -0.11236499 0.011243762
  < 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 -0.0172183652 -0.0068724138 -0.0007987829 -1.603986e-02
  < 5 0.1281234 -0.0316788203 -0.0132311873 -0.0151197910 1.275610e-02
  < 10 0.1740916 0.0009378468 0.0004647786 0.0059944004 2.178505e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.13866892 -0.0535088913 -0.0172799090 -0.077753987 0.0176814058
  < 5 -0.03591101 0.0200910063 0.0008773708 0.025804393 -0.0101515001
  < 10 -0.09476615 -0.0009055236 -0.0001115064 0.005061043 0.0001569013
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.04527970 0.064184014 0.0322300480 0.06896628 4.016549e-02
  < 5 -0.02244163 -0.051466287 -0.0001902926 -0.03685346 2.463731e-02
  < 10 -0.08081440 0.004813935 0.0040831508 0.01802956 5.367940e-06
  ---
  > 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 -0.0172183652 0.1950255752 0.0622719555 0.0401397377 -1.099614e-02
  < 5 -0.0316788203 0.2473507471 -0.0088770387 0.0847896419 -9.812528e-02
  < 10 0.0009378468 0.0006345412 0.0003527605 0.0002012175 5.187441e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.038996147 -0.094119943 -0.0294169408 -6.214137e-03 1.649026e-02
  < 5 0.003559690 0.096036810 0.0001190321 -7.403145e-02 -3.822091e-02
  < 10 -0.001274435 -0.001158553 -0.0009034152 -7.987541e-05 8.651326e-06
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.046942653 0.08254473 0.0357106424 -0.0049457354 -0.0180553380
  < 5 0.003642232 -0.15273851 -0.0008681223 0.1033999991 0.0708067535
  < 10 -0.001544197 0.00168444 0.0006489112 0.0002913702 0.0000185206
  ---
  > 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 -0.0068724138 0.0622719555 0.34511901 -0.252948001 2.723144e-02
  < 5 -0.0132311873 -0.0088770387 0.15927808 -0.065379945 2.793696e-02
  < 10 0.0004647786 0.0003527605 0.00986425 -0.001545393 2.066054e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0149449872 -0.0309065356 -0.13832493 0.064882086 -0.0297463366
  < 5 0.0031065106 -0.0221927870 -0.01036503 0.078554235 0.0048725459
  < 10 -0.0006341061 -0.0008720785 -0.02618514 0.003170854 -0.0003116262
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.019732560 0.026546503 0.13922357 -0.028827735 0.037145065
  < 5 0.001479222 0.048560557 0.00789925 -0.119180764 -0.002930182
  < 10 -0.001820273 0.001069999 0.01390592 -0.002193628 0.000130490
  ---
  > 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 -0.0007987829 0.0401397377 -0.252948001 0.70425495 -3.987297e-02 0.02636476
  < 5 -0.0151197910 0.0847896419 -0.065379945 0.33863819 -5.843145e-02 -0.01439706
  < 10 0.0059944004 0.0002012175 -0.001545393 0.03302969 -2.290837e-05 -0.01349941
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 -0.0180688141 0.055618526 -0.21575853 0.0308768338 -0.02365469
  < 5 0.0216093055 -0.001018342 -0.10051004 -0.0107984079 -0.01020929
  < 10 -0.0002412988 0.005629479 -0.03199458 0.0002650188 -0.01437400
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0115981560 -0.048340980 0.07330607 -0.031313267
  < 5 -0.0377848765 0.001380170 0.17884472 -0.004967393
  < 10 0.0007165735 -0.003356932 0.02671203 -0.000208178
  ---
  > 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 2.178505e-07 5.187441e-07 2.066054e-05 -2.290837e-05 0.002171794
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0391045564 -5.732972e-03 0.0025560579 0.0186519890 0.0168494646
  < 5 -0.0024671286 -6.758554e-02 -0.0012166055 0.1197515409 0.0236210204
  < 10 -0.0001219059 -2.317749e-05 0.0000173814 -0.0001049718 0.0008017405
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0531782651 9.844606e-03 -6.952628e-03 -0.0102059955 -0.166658339
  < 5 -0.0007089579 1.298850e-01 2.005176e-03 -0.1671184638 -0.084751342
  < 10 -0.0002898372 2.252963e-05 -2.306988e-06 -0.0001433389 -0.001111925
  ---
  > 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 -0.13866892 0.038996147 0.0149449872 0.02636476 -0.0391045564 0.29146718
  < 5 -0.03591101 0.003559690 0.0031065106 -0.01439706 -0.0024671286 0.01455153
  < 10 -0.09476615 -0.001274435 -0.0006341061 -0.01349941 -0.0001219059 0.09985949
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 0.005847673 -1.431393e-02 0.005454284 0.0146233794 -0.056673784
  < 5 -0.006392119 -3.785404e-05 -0.011311163 0.0041306438 0.009250679
  < 10 0.001004520 -4.975911e-04 0.002610587 -0.0002775635 0.086422595
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.049439115 0.0039211031 -0.04865980 0.0872967119
  < 5 0.008288389 -0.0001698164 0.01263640 -0.0047531879
  < 10 -0.005160732 -0.0038682238 -0.01947867 0.0000555991
  ---
  > 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 -0.0535088913 -0.094119943 -0.0309065356 -0.0180688141 -5.732972e-03
  < 5 0.0200910063 0.096036810 -0.0221927870 0.0216093055 -6.758554e-02
  < 10 -0.0009055236 -0.001158553 -0.0008720785 -0.0002412988 -2.317749e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.005847673 0.110545181 0.027519798 0.0197418701 -2.616974e-02
  < 5 -0.006392119 0.235931955 0.002551030 -0.0183072630 -1.149153e-01
  < 10 0.001004520 0.002522962 0.002426692 0.0002420791 3.360937e-07
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.007718543 -0.113802920 -0.035357781 -0.0108760651 3.397193e-02
  < 5 -0.002740571 -0.298955563 -0.003048014 0.0403791255 1.756595e-01
  < 10 0.002232900 -0.002941571 -0.001378233 -0.0002230786 -3.910849e-05
  ---
  > 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 -0.0172799090 -0.0294169408 -0.13832493 0.055618526 0.0025560579
  < 5 0.0008773708 0.0001190321 -0.01036503 -0.001018342 -0.0012166055
  < 10 -0.0001115064 -0.0009034152 -0.02618514 0.005629479 0.0000173814
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.431393e-02 0.027519798 0.0938409889 -0.010041217 0.0221840262
  < 5 -3.785404e-05 0.002551030 0.0008347886 -0.003888706 -0.0001380954
  < 10 -4.975911e-04 0.002426692 0.0745087943 -0.010447605 0.0009348705
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 1.574562e-02 -0.024365371 -0.0946140480 0.006909782 -0.0418289287
  < 5 4.054242e-05 -0.003417817 -0.0006416053 0.005603551 0.0009601216
  < 10 2.733963e-03 -0.002651435 -0.0363174935 0.006975439 -0.0004812330
  ---
  > 1 -0.017287743 -2.942319e-02 -1.383181e-01 5.560032e-02 0.0025475931
  > 5 0.059006945 -1.950387e-01 -7.148051e-01 4.058140e-01 0.0967072245
  > 10 0.001268045 2.824234e-05 -1.995998e-06 5.963541e-05 0.0001007032
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.014486182 2.756364e-02 9.383421e-02 -0.0097900046 2.215898e-02
  > 5 -0.022180867 1.603623e-01 7.956085e-01 -0.1862739267 1.375938e-02
  > 10 -0.002642466 -7.992828e-05 1.686312e-05 0.0000730175 3.373514e-05
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.015776669 -2.465967e-02 -9.458599e-02 0.0064888269 -4.168636e-02
  > 5 -0.009314976 -1.936855e-01 -4.456234e-01 0.1901035007 -5.725428e-02
  > 10 -0.001036574 8.433739e-05 -1.047238e-05 0.0001702743 -6.314344e-05
  2712,2722c2712,2722
  < 1 -0.077753987 -6.214137e-03 0.064882086 -0.21575853 0.0186519890
  < 5 0.025804393 -7.403145e-02 0.078554235 -0.10051004 0.1197515409
  < 10 0.005061043 -7.987541e-05 0.003170854 -0.03199458 -0.0001049718
  < 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 0.005454284 0.0197418701 -0.010041217 0.1389776 -0.0220530070 0.001515057
  < 5 -0.011311163 -0.0183072630 -0.003888706 0.3398588 -0.0244957131 -0.004527077
  < 10 0.002610587 0.0002420791 -0.010447605 0.0472977 -0.0002078853 0.010628836
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0170537316 0.004745578 -0.07052050 0.0053872556
  < 5 0.0493832239 0.003196335 -0.40654839 0.0377849627
  < 10 -0.0001800247 0.005786810 -0.01834769 0.0002873159
  ---
  > 1 -0.077463779 -0.0063543095 6.436849e-02 -0.21567935 0.0183796255
  > 5 0.006034385 0.0880736080 2.431613e-01 -0.23189515 -0.0418929613
  > 10 0.009016088 -0.0001315426 -2.370779e-05 -0.03199371 -0.0001547646
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.005676343 0.0198493668 -0.0097900046 0.13863777 -0.021925681
  > 5 0.001459373 -0.0346414842 -0.1862739267 0.16776840 -0.012090000
  > 10 0.008207656 0.0006695315 0.0000730175 0.04729278 -0.000251663
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 1.348371e-03 -0.0170289293 4.450320e-03 -0.06986015 5.933270e-03
  > 5 -1.498301e-04 0.0459480651 1.176118e-01 -0.20160233 1.566837e-02
  > 10 1.743981e-05 -0.0001754057 3.780718e-05 -0.01834393 4.358289e-05
  2727,2737c2727,2737
  < 1 0.0176814058 1.649026e-02 -0.0297463366 0.0308768338 0.0168494646
  < 5 -0.0101515001 -3.822091e-02 0.0048725459 -0.0107984079 0.0236210204
  < 10 0.0001569013 8.651326e-06 -0.0003116262 0.0002650188 0.0008017405
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0146233794 -2.616974e-02 0.0221840262 -0.0220530070 0.0998644968
  < 5 0.0041306438 -1.149153e-01 -0.0001380954 -0.0244957131 0.1933519851
  < 10 -0.0002775635 3.360937e-07 0.0009348705 -0.0002078853 0.0005622596
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0208688711 2.443309e-02 -0.0192696196 0.0136293800 -0.0263588927
  < 5 0.0007673164 1.537438e-01 0.0007587288 0.0143143941 -0.1211890039
  < 10 -0.0003406580 4.584528e-05 -0.0004797994 0.0003057345 -0.0006577592
  ---
  > 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
  2741,2752c2741,2752
  < 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 0.04527970 -0.046942653 -0.019732560 -0.02365469 0.0531782651 -0.056673784
  < 5 -0.02244163 0.003642232 0.001479222 -0.01020929 -0.0007089579 0.009250679
  < 10 -0.08081440 -0.001544197 -0.001820273 -0.01437400 -0.0002898372 0.086422595
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 0.007718543 1.574562e-02 0.001515057 -0.0208688711 0.260293574
  < 5 -0.002740571 4.054242e-05 -0.004527077 0.0007673164 0.006154641
  < 10 0.002232900 2.733963e-03 0.010628836 -0.0003406580 0.087746726
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.003939020 -0.027008090 -0.014585282 -0.1121484858
  < 5 0.002630732 -0.000168415 0.007243474 -0.0014784258
  < 10 -0.005172150 -0.005357653 -0.014369455 0.0002590785
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 1 0.04493873 -0.046887462 -0.0198072872 -0.023572103 0.053208623
  > 5 -0.01708604 0.005778696 0.0092095144 0.002810562 0.002745458
  > 10 -0.32552103 -0.004931153 0.0001785236 -0.037085369 -0.001296140
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.056390926 0.007305875 0.015776669 1.348371e-03 -0.0211510430
  > 5 0.004230689 -0.007207260 -0.009314976 -1.498301e-04 0.0057386372
  > 10 0.666350357 0.012978031 -0.001036574 1.743981e-05 -0.0006727572
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.260104019 -0.003631698 -2.703901e-02 -0.0147234227 -0.1122852346
  > 5 0.003594185 0.012105417 2.323057e-03 0.0001082379 -0.0084072591
  > 10 0.346309699 -0.014664090 -6.986208e-05 -0.0782974576 0.0001302206
  2757,2759c2757,2759
  < 1 0.064184014 0.08254473 0.026546503 0.0115981560 9.844606e-03 -0.049439115
  < 5 -0.051466287 -0.15273851 0.048560557 -0.0377848765 1.298850e-01 0.008288389
  < 10 0.004813935 0.00168444 0.001069999 0.0007165735 2.252963e-05 -0.005160732
  ---
  > 1 0.06372503 0.082624678 2.701209e-02 0.011652576 1.018885e-02 -0.04971224
  > 5 -0.05086909 0.136186509 1.867800e-01 -0.113738960 8.697296e-02 0.01567129
  > 10 0.01393215 0.001376746 1.698283e-05 0.001745332 6.648918e-05 -0.02770722
  2761,2763c2761,2763
  < 1 -0.113802920 -0.024365371 -0.0170537316 2.443309e-02 -0.003939020
  < 5 -0.298955563 -0.003417817 0.0493832239 1.537438e-01 0.002630732
  < 10 -0.002941571 -0.002651435 -0.0001800247 4.584528e-05 -0.005172150
  ---
  > 1 -0.114276988 -2.465967e-02 -0.0170289293 0.023822695 -0.003631698
  > 5 -0.284634848 -1.936855e-01 0.0459480651 0.171920806 0.012105417
  > 10 -0.004066436 8.433739e-05 -0.0001754057 0.000128403 -0.014664090
  2765,2767c2765,2767
  < 1 0.146027202 0.038931012 0.013208525 -0.0465727667
  < 5 0.885144403 0.005216138 -0.068296373 -0.4481919391
  < 10 0.005009837 0.002003410 0.001099487 0.0001004859
  ---
  > 1 0.146460422 3.927633e-02 0.012923231 -4.737794e-02
  > 5 0.689742088 1.161851e-01 -0.025223562 -3.685764e-01
  > 10 0.003821908 -9.786501e-05 0.003088707 -7.157427e-05
  2772,2782c2772,2782
  < 1 0.0322300480 0.0357106424 0.13922357 -0.048340980 -6.952628e-03
  < 5 -0.0001902926 -0.0008681223 0.00789925 0.001380170 2.005176e-03
  < 10 0.0040831508 0.0006489112 0.01390592 -0.003356932 -2.306988e-06
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0039211031 -0.035357781 -0.0946140480 0.004745578 -0.0192696196
  < 5 -0.0001698164 -0.003048014 -0.0006416053 0.003196335 0.0007587288
  < 10 -0.0038682238 -0.001378233 -0.0363174935 0.005786810 -0.0004797994
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.027008090 0.038931012 0.114010032 -0.004441407 0.0553084532
  < 5 -0.000168415 0.005216138 0.000542105 -0.004043609 -0.0013261038
  < 10 -0.005357653 0.002003410 0.022059879 -0.004069598 0.0001460782
  ---
  > 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 0.06896628 -0.0049457354 -0.028827735 0.07330607 -0.0102059955 -0.04865980
  < 5 -0.03685346 0.1033999991 -0.119180764 0.17884472 -0.1671184638 0.01263640
  < 10 0.01802956 0.0002913702 -0.002193628 0.02671203 -0.0001433389 -0.01947867
  ---
  > 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 -0.0108760651 0.006909782 -0.07052050 0.0136293800 -0.014585282 0.013208525
  < 5 0.0403791255 0.005603551 -0.40654839 0.0143143941 0.007243474 -0.068296373
  < 10 -0.0002230786 0.006975439 -0.01834769 0.0003057345 -0.014369455 0.001099487
  ---
  > 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 -0.004441407 0.07413706 -0.0032830148
  < 5 -0.004043609 0.67728870 -0.0595304023
  < 10 -0.004069598 0.03371237 -0.0001141505
  ---
  > 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 4.016549e-02 -0.0180553380 0.037145065 -0.031313267 -0.166658339
  < 5 2.463731e-02 0.0708067535 -0.002930182 -0.004967393 -0.084751342
  < 10 5.367940e-06 0.0000185206 0.000130490 -0.000208178 -0.001111925
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0872967119 3.397193e-02 -0.0418289287 0.0053872556 -0.0263588927
  < 5 -0.0047531879 1.756595e-01 0.0009601216 0.0377849627 -0.1211890039
  < 10 0.0000555991 -3.910849e-05 -0.0004812330 0.0002873159 -0.0006577592
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1121484858 -0.0465727667 0.0553084532 -0.0032830148 0.4726654995
  < 5 -0.0014784258 -0.4481919391 -0.0013261038 -0.0595304023 0.4922758616
  < 10 0.0002590785 0.0001004859 0.0001460782 -0.0001141505 0.0009670941
  ---
  > 1 0.040164460 -1.803348e-02 3.700592e-02 -3.130000e-02 -0.166602820
  > 5 0.032338461 -9.614347e-02 -1.088114e-01 9.559923e-02 -0.073823069
  > 10 -0.000211752 -2.480987e-05 9.322443e-06 -7.857276e-05 -0.001998159
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.0871429010 3.427148e-02 -4.168636e-02 5.933270e-03 -0.0263270099
  > 5 -0.0062843942 1.343494e-01 -5.725428e-02 1.566837e-02 -0.5078625252
  > 10 0.0001700394 8.272483e-05 -6.314344e-05 4.358289e-05 -0.0008001017
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.1122852346 -4.737794e-02 5.512820e-02 -4.272089e-03 0.472211684
  > 5 -0.0084072591 -3.685764e-01 1.125329e-01 -6.182832e-02 1.015712071
  > 10 0.0001302206 -7.157427e-05 9.974756e-05 -1.482161e-05 0.001337384
  2816,2862c2816,2862
  < d_y1_d_x1 0.3029542697 -0.017218365 -0.006872414 -0.0007987829 -0.016039859
  < d_y2_d_x1 -0.0172183652 0.195025575 0.062271955 0.0401397377 -0.010996137
  < d_y3_d_x1 -0.0068724138 0.062271955 0.345119008 -0.2529480005 0.027231436
  < d_y4_d_x1 -0.0007987829 0.040139738 -0.252948001 0.7042549525 -0.039872968
  < d_y5_d_x1 -0.0160398589 -0.010996137 0.027231436 -0.0398729678 0.126154409
  < d_y1_d_x2 -0.1386689211 0.038996147 0.014944987 0.0263647598 -0.039104556
  < d_y2_d_x2 -0.0535088913 -0.094119943 -0.030906536 -0.0180688141 -0.005732972
  < d_y3_d_x2 -0.0172799090 -0.029416941 -0.138324934 0.0556185256 0.002556058
  < d_y4_d_x2 -0.0777539867 -0.006214137 0.064882086 -0.2157585278 0.018651989
  < d_y5_d_x2 0.0176814058 0.016490257 -0.029746337 0.0308768338 0.016849465
  < d_y1_d_x3 0.0452797000 -0.046942653 -0.019732560 -0.0236546890 0.053178265
  < d_y2_d_x3 0.0641840143 0.082544727 0.026546503 0.0115981560 0.009844606
  < d_y3_d_x3 0.0322300480 0.035710642 0.139223574 -0.0483409800 -0.006952628
  < d_y4_d_x3 0.0689662751 -0.004945735 -0.028827735 0.0733060748 -0.010205995
  < d_y5_d_x3 0.0401654942 -0.018055338 0.037145065 -0.0313132670 -0.166658339
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < d_y1_d_x1 -0.138668921 -0.053508891 -0.017279909 -0.077753987 0.01768141
  < d_y2_d_x1 0.038996147 -0.094119943 -0.029416941 -0.006214137 0.01649026
  < d_y3_d_x1 0.014944987 -0.030906536 -0.138324934 0.064882086 -0.02974634
  < d_y4_d_x1 0.026364760 -0.018068814 0.055618526 -0.215758528 0.03087683
  < d_y5_d_x1 -0.039104556 -0.005732972 0.002556058 0.018651989 0.01684946
  < d_y1_d_x2 0.291467183 0.005847673 -0.014313930 0.005454284 0.01462338
  < d_y2_d_x2 0.005847673 0.110545181 0.027519798 0.019741870 -0.02616974
  < d_y3_d_x2 -0.014313930 0.027519798 0.093840989 -0.010041217 0.02218403
  < d_y4_d_x2 0.005454284 0.019741870 -0.010041217 0.138977641 -0.02205301
  < d_y5_d_x2 0.014623379 -0.026169745 0.022184026 -0.022053007 0.09986450
  < d_y1_d_x3 -0.056673784 0.007718543 0.015745619 0.001515057 -0.02086887
  < d_y2_d_x3 -0.049439115 -0.113802920 -0.024365371 -0.017053732 0.02443309
  < d_y3_d_x3 0.003921103 -0.035357781 -0.094614048 0.004745578 -0.01926962
  < d_y4_d_x3 -0.048659801 -0.010876065 0.006909782 -0.070520498 0.01362938
  < d_y5_d_x3 0.087296712 0.033971927 -0.041828929 0.005387256 -0.02635889
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < d_y1_d_x1 0.045279700 0.064184014 0.032230048 0.068966275 0.040165494
  < d_y2_d_x1 -0.046942653 0.082544727 0.035710642 -0.004945735 -0.018055338
  < d_y3_d_x1 -0.019732560 0.026546503 0.139223574 -0.028827735 0.037145065
  < d_y4_d_x1 -0.023654689 0.011598156 -0.048340980 0.073306075 -0.031313267
  < d_y5_d_x1 0.053178265 0.009844606 -0.006952628 -0.010205995 -0.166658339
  < d_y1_d_x2 -0.056673784 -0.049439115 0.003921103 -0.048659801 0.087296712
  < d_y2_d_x2 0.007718543 -0.113802920 -0.035357781 -0.010876065 0.033971927
  < d_y3_d_x2 0.015745619 -0.024365371 -0.094614048 0.006909782 -0.041828929
  < d_y4_d_x2 0.001515057 -0.017053732 0.004745578 -0.070520498 0.005387256
  < d_y5_d_x2 -0.020868871 0.024433094 -0.019269620 0.013629380 -0.026358893
  < d_y1_d_x3 0.260293574 -0.003939020 -0.027008090 -0.014585282 -0.112148486
  < d_y2_d_x3 -0.003939020 0.146027202 0.038931012 0.013208525 -0.046572767
  < d_y3_d_x3 -0.027008090 0.038931012 0.114010032 -0.004441407 0.055308453
  < d_y4_d_x3 -0.014585282 0.013208525 -0.004441407 0.074137060 -0.003283015
  < d_y5_d_x3 -0.112148486 -0.046572767 0.055308453 -0.003283015 0.472665500
  ---
  > d_y1_d_x1 0.3029542699 -0.017218365 -0.006872414 -0.0007987828 -0.016039859
  > d_y2_d_x1 -0.0172183652 0.195025575 0.062271955 0.0401397379 -0.010996137
  > d_y3_d_x1 -0.0068724138 0.062271955 0.345119008 -0.2529480002 0.027231435
  > d_y4_d_x1 -0.0007987828 0.040139738 -0.252948000 0.7042549520 -0.039872968
  > d_y5_d_x1 -0.0160398590 -0.010996137 0.027231435 -0.0398729677 0.126154409
  > d_y1_d_x2 -0.1386113747 0.038857208 0.015328043 0.0258343328 -0.038997769
  > d_y2_d_x2 -0.0535285664 -0.094400097 -0.030915675 -0.0185544571 -0.005743523
  > d_y3_d_x2 -0.0172877430 -0.029423192 -0.138318077 0.0556003204 0.002547593
  > d_y4_d_x2 -0.0774637790 -0.006354309 0.064368492 -0.2156793527 0.018379626
  > d_y5_d_x2 0.0177558959 0.016533633 -0.029768864 0.0309267772 0.016845827
  > d_y1_d_x3 0.0449387301 -0.046887462 -0.019807287 -0.0235721031 0.053208623
  > d_y2_d_x3 0.0637250250 0.082624678 0.027012089 0.0116525757 0.010188850
  > d_y3_d_x3 0.0322048225 0.035713438 0.139200296 -0.0483257794 -0.006945174
  > d_y4_d_x3 0.0678642931 -0.004860131 -0.028004035 0.0732445811 -0.009689508
  > d_y5_d_x3 0.0401644605 -0.018033481 0.037005924 -0.0312999965 -0.166602820
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > d_y1_d_x1 -0.138611375 -0.053528566 -0.017287743 -0.077463779 0.01775590
  > d_y2_d_x1 0.038857208 -0.094400097 -0.029423192 -0.006354309 0.01653363
  > d_y3_d_x1 0.015328043 -0.030915675 -0.138318077 0.064368492 -0.02976886
  > d_y4_d_x1 0.025834333 -0.018554457 0.055600320 -0.215679353 0.03092678
  > d_y5_d_x1 -0.038997769 -0.005743523 0.002547593 0.018379626 0.01684583
  > d_y1_d_x2 0.291422688 0.006458320 -0.014486182 0.005676343 0.01472690
  > d_y2_d_x2 0.006458320 0.110997148 0.027563642 0.019849367 -0.02588773
  > d_y3_d_x2 -0.014486182 0.027563642 0.093834214 -0.009790005 0.02215898
  > d_y4_d_x2 0.005676343 0.019849367 -0.009790005 0.138637769 -0.02192568
  > d_y5_d_x2 0.014726896 -0.025887734 0.022158979 -0.021925681 0.09998520
  > d_y1_d_x3 -0.056390926 0.007305875 0.015776669 0.001348371 -0.02115104
  > d_y2_d_x3 -0.049712244 -0.114276988 -0.024659675 -0.017028929 0.02382270
  > d_y3_d_x3 0.004112293 -0.035441875 -0.094585986 0.004450320 -0.01922230
  > d_y4_d_x3 -0.048281415 -0.010525566 0.006488827 -0.069860149 0.01317549
  > d_y5_d_x3 0.087142901 0.034271480 -0.041686361 0.005933270 -0.02632701
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > d_y1_d_x1 0.044938730 0.063725025 0.032204823 0.067864293 0.040164460
  > d_y2_d_x1 -0.046887462 0.082624678 0.035713438 -0.004860131 -0.018033481
  > d_y3_d_x1 -0.019807287 0.027012089 0.139200296 -0.028004035 0.037005924
  > d_y4_d_x1 -0.023572103 0.011652576 -0.048325779 0.073244581 -0.031299996
  > d_y5_d_x1 0.053208623 0.010188850 -0.006945174 -0.009689508 -0.166602820
  > d_y1_d_x2 -0.056390926 -0.049712244 0.004112293 -0.048281415 0.087142901
  > d_y2_d_x2 0.007305875 -0.114276988 -0.035441875 -0.010525566 0.034271480
  > d_y3_d_x2 0.015776669 -0.024659675 -0.094585986 0.006488827 -0.041686361
  > d_y4_d_x2 0.001348371 -0.017028929 0.004450320 -0.069860149 0.005933270
  > d_y5_d_x2 -0.021151043 0.023822695 -0.019222304 0.013175491 -0.026327010
  > d_y1_d_x3 0.260104019 -0.003631698 -0.027039012 -0.014723423 -0.112285235
  > d_y2_d_x3 -0.003631698 0.146460422 0.039276335 0.012923231 -0.047377939
  > d_y3_d_x3 -0.027039012 0.039276335 0.113966702 -0.004080492 0.055128200
  > d_y4_d_x3 -0.014723423 0.012923231 -0.004080492 0.073346928 -0.004272089
  > d_y5_d_x3 -0.112285235 -0.047377939 0.055128200 -0.004272089 0.472211684
  2867,2869c2867,2869
  < 1 -0.2316491 -0.033140141 -0.004011498 -0.06214431 0.0018383031 -0.01660894
  < 5 -0.1862993 0.044064595 0.006454222 0.06914671 -0.0114836186 0.03717027
  < 10 0.1892359 0.002212844 0.001461047 0.01477834 0.0001456507 -0.16751600
  ---
  > 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 0.055733196 2.714252e-02 0.063027361 -0.0083488771 0.06292744
  < 5 -0.008448797 4.329870e-04 -0.041744386 0.0041300297 0.02305933
  < 10 -0.002496701 -1.110223e-05 0.001288553 0.0006994405 -0.19568652
  ---
  > 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 -0.057398530 -0.043440598 -0.03754774 0.0075855988
  < 5 -0.002309264 -0.001232348 -0.01458833 0.0007771561
  < 10 0.010463332 0.008648637 0.03931994 -0.0006883383
  ---
  > 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 0.20154699 -0.0611282749 -0.0181665231 -0.100909653 0.0054097379 0.00000000
  < 5 0.00804797 -0.0016266396 -0.0002528796 -0.014698144 0.0006733222 0.03717027
  < 10 0.26994174 -0.0006627176 -0.0007103858 -0.001967969 0.0001509007 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 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000
  < 5 -0.008448797 0.000432987 -0.04174439 0.00413003 0.02305933 -0.002309264
  < 10 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000
  ---
  > 1 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
  > 5 -0.03190503 -0.01502132 -0.001852685 0.002908784 0.01036948 -0.001396105
  > 10 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
  2890,2892c2890,2892
  < 1 0.000000000 0.00000000 0.0000000000
  < 5 -0.001232348 -0.01458833 0.0007771561
  < 10 0.000000000 0.00000000 0.0000000000
  ---
  > 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 -0.0049104020 -0.076069725 2.250234e-03
  < 5 0.10355283 -0.024492915 -0.0035875213 -0.038434583 6.383068e-03
  < 10 -0.08946912 -0.001046214 -0.0006907701 -0.006987072 -6.886203e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.41292339 0.041078840 0.0191485433 0.038306344 -0.0067314350
  < 5 -0.01306847 0.002725435 -0.0015296359 0.008377842 -0.0010253191
  < 10 0.15991813 -0.001689271 -0.0008946761 -0.017412443 0.0001051702
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.07570611 -0.072430950 -0.053142560 -0.048250293 0.0098920871
  < 5 -0.01209033 0.001515454 0.001798561 0.008060219 -0.0006439294
  < 10 0.09255235 -0.004941447 -0.004718448 -0.018542806 -0.0006550316
  ---
  > 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 0.035387827 0.004283573 0.06635917 -0.0019629837 0.01803002
  < 5 0.1164444 -0.027542102 -0.004034141 -0.04321941 0.0071777128 -0.02234879
  < 10 0.2372668 0.002774497 0.001831882 0.01852930 0.0001826184 -0.20994873
  ---
  > 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 -0.05873080 -0.029012209 -0.066635586 0.0090205621 0.367126687
  < 5 0.00487943 0.001287859 0.026206814 -0.0014543922 -0.006384929
  < 10 -0.00314011 -0.001598721 0.001627865 0.0003330669 -0.164548711
  ---
  > 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 0.0351946574 0.032202684 0.003278807 -4.832954e-03
  < 5 -0.0004664564 -0.001529636 -0.005666480 -3.591855e-04
  < 10 0.0102319223 0.009319376 0.032636411 6.076101e-05
  ---
  > 1 0.033984514 0.0322134397 0.0019354377 -4.852382e-03
  > 5 -0.009039656 -0.0004597785 -0.0002132566 7.731771e-05
  > 10 0.006469654 0.0005128707 0.0326641666 1.277652e-03
  2927,2937c2927,2937
  < 1 0.005905711 0.15112666 0.038148543 0.0133838796 -0.0080595407
  < 5 0.049460136 -0.07512963 -0.028541702 -0.0039733690 0.0066974774
  < 10 0.001477843 -0.01404540 -0.002545144 -0.0005325707 0.0001883849
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.074795725 -0.15299984 -0.026125282 -0.010069723 0.0296346281
  < 5 -0.005417888 0.17616464 0.001543210 0.009889312 -0.0575983705
  < 10 0.002044198 0.02890691 0.007205347 0.001186551 0.0001665335
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.085975671 0.12526646 0.027896088 0.005051515 -0.029595770
  < 5 -0.001476597 -0.32618352 -0.004041212 -0.006011858 0.103150821
  < 10 0.017591484 -0.04135043 -0.007904788 -0.001987993 0.001176836
  ---
  > 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 -0.001111763 0.354249378 7.960543e-05 9.213415e-03 -0.0689671864
  < 10 -0.003091967 0.002323759 1.157197e-05 4.313015e-06 -0.0001426119
  ---
  > 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 0.000000 0.000000000 0.000000000 0.00000000 0.000000000
  < 5 -0.005417888 0.176098 0.001409983 0.009905965 -0.05759837 -0.001476597
  < 10 0.000000000 0.000000 0.000000000 0.000000000 0.00000000 0.000000000
  ---
  > 1 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
  > 5 -0.008504308 0.225997 0.07611689 -3.053113e-05 -0.06405987 -0.008093526
  > 10 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
  2950,2952c2950,2952
  < 1 0.0000000 0.000000000 0.000000000 0.0000000
  < 5 -0.3260503 -0.003774758 -0.006045164 0.1031508
  < 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 0.0072290723 0.184991393 0.046696937 0.0163829633 -9.865537e-03
  < 5 -0.0274919779 0.041760137 0.015864653 0.0022085624 -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 0.030997769 -0.115554796 -0.023231500 -1.067906e-02 2.524776e-02
  < 5 0.003251413 0.256283299 0.001733837 3.853814e-03 -3.639324e-02
  < 10 -0.005564154 0.002709772 -0.000896077 -3.141164e-05 7.978568e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.103617115 0.15477619 0.0343013812 0.0072830630 -0.0363292729
  < 5 0.001387779 0.18147706 -0.0008992806 0.0032640557 -0.0576205750
  < 10 -0.008296142 0.01954131 0.0034305891 0.0009679757 -0.0002220446
  ---
  > 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 -0.0142916234 0.0086061686
  < 5 -0.030914527 0.04695897 0.017839685 0.0024835118 -0.0041861864
  < 10 0.001852942 -0.01761033 -0.003191139 -0.0006677451 0.0002362004
  < 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 -0.078692608 0.1647238 0.027967212 0.012057022 -0.0317301740 0.030176204
  < 5 0.002209344 -0.1101674 -0.001287859 -0.006342149 0.0355271368 0.001508363
  < 10 0.002576411 0.0362480 0.009769963 0.001514067 -0.0004218847 0.017563179
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.06297463 -0.021044707 -0.004839287 2.083740e-02
  < 5 0.55823065 0.001911473 0.013090869 -1.326940e-01
  < 10 -0.03546160 -0.008900785 -0.002011772 -9.785001e-05
  ---
  > 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 -0.0021194287 0.040008174 0.22756421 -0.078470237 0.015374716
  < 5 0.0084265607 -0.057051548 -0.13374135 0.135148228 -0.023175236
  < 10 0.0007301026 -0.001644378 -0.05889389 0.003468366 -0.000192469
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 2.717826e-02 -0.032684966 -0.168443384 0.01060263 -0.029057312
  < 5 4.996004e-04 0.007538414 0.005095924 -0.08774648 0.001398881
  < 10 -8.951173e-05 0.004935115 0.169353420 -0.01381742 0.002586820
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -2.905454e-02 0.029964919 0.166050854 -0.007827072 0.0322131211
  < 5 -1.110223e-05 -0.006283862 -0.003619327 0.079258822 -0.0001110223
  < 10 8.272549e-03 -0.006259750 -0.112698739 0.010406259 -0.0003774758
  ---
  > 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
  3001,3012c3001,3012
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  < 1 -1.562944e-02 0.0504285813 0.2984391652 -8.143947e-02 2.536810e-02
  < 5 1.506439e-05 0.0009823548 0.0005630317 -2.660125e-02 1.415730e-04
  < 10 -1.210393e-03 0.0001269101 0.0089098831 -1.614253e-05 -2.442069e-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 0.000000000 0.000000e+00
  < 5 0.0004996004 0.007538414 0.005095924 -0.08778256 0.001398881 -1.110223e-05
  < 10 0.0000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.000000e+00
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.000000000 0.000000000 0.00000000 0.0000000000
  < 5 -0.006283862 -0.003619327 0.07928103 -0.0001110223
  < 10 0.000000000 0.000000000 0.00000000 0.0000000000
  ---
  > 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 -0.0156294413 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
  > 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 0.0000000 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
  > d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.0000000 0.00000000 0.00000000
  > 5 -0.2394751 0.05397904 -0.09232615
  > 10 0.0000000 0.00000000 0.00000000
  3016,3027c3016,3027
  < 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 -0.0025943546 0.048973277 0.27855720 -0.096053990 1.881991e-02 2.005203e-02
  < 5 -0.0046838288 0.031711597 0.07433895 -0.075120944 1.288175e-02 9.278001e-05
  < 10 -0.0003451862 0.000777448 0.02784452 -0.001639813 9.099721e-05 -1.909271e-03
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 -0.0274826069 -0.135334398 0.010386751 -0.0255726087 -0.0352939900
  < 5 -0.0030033457 -0.002712127 0.022237457 -0.0010907748 -0.0002220446
  < 10 -0.0005580115 -0.011632685 0.003063726 -0.0003426543 -0.0039183934
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.036892711 0.203242978 -0.009892087 0.0393157729
  < 5 0.003580469 0.002242651 -0.044153570 0.0003996803
  < 10 0.002945300 0.053124172 -0.004900941 -0.0007882583
  ---
  > 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 0.0022631756 -0.042721677 -0.24299846 0.083792380 -0.0164174859
  < 5 -0.0052669302 0.035659458 0.08359360 -0.084472949 0.0144854332
  < 10 0.0009154136 -0.002061746 -0.07384204 0.004348689 -0.0002413207
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -2.831069e-02 0.035038639 0.179817619 -0.009914292 0.031066816
  < 5 3.330669e-05 -0.004513057 -0.003030909 0.054897753 -0.000865974
  < 10 -4.718448e-05 0.006159309 0.211486384 -0.017295887 0.001998401
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0171210405 -0.021820469 -0.106376312 0.004502570 -0.0241792788
  < 5 0.0007922206 0.005228958 0.003160954 -0.076192141 0.0008743203
  < 10 0.0084005379 -0.006038957 -0.074782171 0.009641104 -0.0019191706
  ---
  > 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 0.06395995
  < 5 0.063242469 0.016668252 0.071275445 -0.1751393 9.014262e-03 -0.01656453
  < 10 0.006751437 -0.000363007 0.003342811 -0.1063726 -8.838652e-05 0.01978140
  < 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 -0.0085598195 0.013669274 -0.1880607 0.011840529 -0.046829207 0.004740652
  < 5 0.0091981978 -0.002553513 0.2275430 -0.008371082 -0.009314771 -0.013800072
  < 10 0.0006965782 -0.014432899 0.1293472 -0.001532108 0.041197601 -0.001359156
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.009948639 0.07522871 -0.0092842400
  < 5 0.001909584 -0.25335567 0.0108801856
  < 10 0.010835777 -0.12750079 0.0003774758
  ---
  > 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
  3061,3072c3061,3072
  < 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 -0.070486051 8.356094e-03 -0.0957690659 0.446815027 -0.019264665 0.00000000
  < 5 -0.003630891 2.012064e-02 -0.0002534083 0.271230985 -0.025001836 -0.01624256
  < 10 -0.007886791 4.168080e-06 -0.0000498741 0.006389641 -0.000230765 0.00000000
  < 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 0.000000000 0.000000000 0.0000000 0.000000000 0.000000000 0.00000000
  < 5 0.009164891 -0.002575717 0.2274875 -0.008393286 -0.009880985 -0.01373346
  < 10 0.000000000 0.000000000 0.0000000 0.000000000 0.000000000 0.00000000
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.000000000 0.0000000 0.00000000
  < 5 0.001998401 -0.2532669 0.01074696
  < 10 0.000000000 0.0000000 0.00000000
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 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
  > 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 0.00000000 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
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.000000000 0.00000000 0.0000000 0.00000000
  > 5 -0.008593126 0.04809486 -0.2602529 0.04946044
  > 10 0.000000000 0.00000000 0.0000000 0.00000000
  3077,3087c3077,3087
  < 1 0.003311586 0.0073483751 -0.113668875 0.42297682 -1.801409e-02
  < 5 -0.035152766 -0.0092648999 -0.039617824 0.09734963 -5.010498e-03
  < 10 -0.003192022 0.0001716266 -0.001580452 0.05029204 4.178846e-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 0.004224438 -8.538367e-03 0.013828763 -0.12971308 0.010173306 -0.05571099
  < 5 0.003285799 1.497475e-02 0.001289802 0.14473495 -0.020383308 0.00741629
  < 10 -0.024021001 2.881731e-05 0.003546209 0.05165554 0.001955943 -0.01939768
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0086819441 -0.0121402888 0.09363621 -0.0113353771
  < 5 0.0078714812 -0.0002220446 0.14084289 -0.0053956839
  < 10 0.0006407201 -0.0044075854 0.06023723 -0.0003552714
  ---
  > 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 -0.0064103308 0.099158667 -0.3689824 0.015714535 -0.068611783
  < 5 -0.039529027 -0.0104183124 -0.044549953 0.1094689 -0.005634268 0.009814372
  < 10 0.008465053 -0.0004551436 0.004191265 -0.1333715 -0.000110821 0.024751728
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 0.0086708418 -0.014520329 0.2009393 -1.267875e-02 -0.022820596
  < 5 -0.0057620575 0.002653433 -0.1420614 5.762057e-03 0.005039952
  < 10 0.0008941632 -0.017508217 0.1620919 2.220446e-05 0.036966325
  ---
  > 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 -0.002953946 0.0077149035 0.02045569 0.005257794
  < 5 0.028841438 -0.0008973375 0.42977361 -0.031763094
  < 10 -0.001353844 0.0102297518 -0.04704468 0.001123276
  ---
  > 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 -1.287877e-02 -0.10197888
  < 5 -9.413399e-03 -1.034015e-02 -1.532401e-02 3.043189e-02 0.06400556
  < 10 2.785039e-05 1.523494e-05 -2.407141e-05 9.479002e-05 0.02174656
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.665335e-02 0.0237476705 -0.024307986 0.0099587005 -0.19523549
  < 5 3.463896e-03 -0.0722200078 0.000577316 -0.0375338649 0.10225154
  < 10 -5.551115e-06 -0.0001242929 0.000865974 -0.0003427814 0.01306732
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0201283434 -0.0234590125 0.0263084693 -0.0076605389 0.28498315
  < 5 -0.0007327472 0.1260103133 0.0002442491 0.0403010958 -0.16704416
  < 10 -0.0001151856 0.0001761612 -0.0011657342 0.0004933554 -0.02059464
  ---
  > 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 0.0220782763 -0.0163091127 0.19275787 0.00000000
  < 5 3.962407e-04 -7.345513e-02 0.0001010650 -0.0188677451 0.40002708 0.00278666
  < 10 4.650341e-05 -1.692349e-05 0.0000744852 -0.0000227013 0.02778154 0.00000000
  < 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 0.0000000 0.000000000 0.00000000 0.0000000 0.0000000000 0.000000
  < 5 -0.0721756 0.000288658 -0.03751721 0.1020406 -0.0001332268 0.125927
  < 10 0.0000000 0.000000000 0.00000000 0.0000000 0.0000000000 0.000000
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0000000000 0.00000000 0.0000000
  < 5 0.0004218847 0.04033718 -0.1668221
  < 10 0.0000000000 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 0.0177381241 -1.576467e-02 -0.12483049
  < 5 5.232354e-03 5.747480e-03 0.0085177181 -1.691529e-02 -0.03557692
  < 10 -1.316738e-05 -7.202950e-06 0.0000113809 -4.481591e-05 -0.01028159
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.102936e-02 2.126547e-02 -0.0221291939 8.948643e-03 0.0553254846
  < 5 8.514320e-04 -3.317069e-02 0.0010114478 1.990570e-03 0.3438164865
  < 10 -1.604142e-05 2.959772e-05 -0.0003122264 -1.271401e-05 -0.0001267566
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 2.622347e-02 -2.668976e-02 0.0321485893 -0.0070943251 0.349015261
  < 5 -1.054712e-03 -7.018830e-02 0.0001776357 -0.0221933583 0.092736929
  < 10 9.714451e-06 -8.612902e-05 0.0001110223 -0.0001658396 0.009980905
  ---
  > 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 0.0096477876 -1.547379e-02 0.0137522541 0.10889547
  < 5 5.883744e-03 0.0064629987 9.578112e-03 -0.0190211239 -0.04000599
  < 10 3.491929e-05 0.0000191018 -3.018108e-05 0.0001188492 0.02726616
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0179412041 -0.0262123656 2.591226e-02 -0.0112021503 0.20839996
  < 5 -0.0002664535 0.0449584814 4.440892e-05 0.0234839925 -0.06358247
  < 10 0.0000194289 -0.0001703498 2.420286e-03 -0.0004947431 0.01794120
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0116843868 0.0189895163 -0.0204579613 0.0054625426 -0.009431049
  < 5 -0.0007583919 -0.1519756576 0.0003453137 -0.0440253989 0.503932851
  < 10 -0.0001499621 0.0002123508 -0.0012337117 0.0005090908 -0.019555660
  ---
  > 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 -0.0063633133 -2.325631e-02 0.0086575823
  < 5 0.048493540 -0.028699302 -0.0092032144 -3.693625e-02 0.0095336178
  < 10 0.005519478 0.005407743 -0.0001456901 -4.108083e-05 -0.0003286381
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.1541877737 -0.1635358515 -0.004302461 -0.002964295 0.0327404770
  < 5 -0.0004218847 0.0005717649 0.002453593 0.008337775 -0.0008326673
  < 10 -0.0031794012 -0.0023433512 0.001620926 0.001017936 0.0011213253
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.094635411 2.811307e-01 0.019988872 7.638334e-03 -0.0573707748
  < 5 0.000721645 -3.885781e-05 0.002287059 2.498002e-05 0.0004107825
  < 10 0.029288377 3.098173e-02 0.002398082 4.024558e-05 0.0027866598
  ---
  > 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 -0.0272145781 0.0343705292 0.0108054844 -6.351000e-03 -0.0007693304
  < 5 -0.0429421191 0.0071002773 -0.0451396761 1.205425e-01 -0.0075880258
  < 10 -0.0008235292 0.0004761164 0.0003259365 -7.298017e-05 0.0024085028
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.035604852 -0.0392796906 -0.0409856177 0.0006439294 -0.0107636122
  < 5 0.001032507 -0.0002831069 0.0010769163 -0.0300925951 0.0006217249
  < 10 0.000702910 -0.0010076141 -0.0005884182 0.0001713907 0.0031974423
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0496935826 5.822010e-02 0.1200671507 -0.0019095836 0.0230732100
  < 5 -0.0002109424 6.106227e-05 -0.0003108624 0.0048960835 -0.0001221245
  < 10 -0.0067529315 3.257724e-03 0.0073274720 -0.0004662937 -0.0005218048
  ---
  > 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 -0.0539832132 -0.033931029 0.01698314 0.004752178 -0.18207658
  < 5 -0.21889627 0.0487535607 0.033870147 -0.18063904 -0.005167325 0.09879875
  < 10 0.02865142 -0.0002409948 -0.001677683 0.02658285 -0.002167196 0.02245079
  ---
  > 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 -0.009259260 0.0176025861 -0.16451285 0.010777490 0.04529710 0.0131672451
  < 5 -0.022803981 -0.0008104628 0.02260414 0.006894485 0.06774581 -0.0080990770
  < 10 0.001355513 0.0031641356 0.02815595 -0.001143530 0.09256068 -0.0009145462
  ---
  > 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 -0.0186097665 0.224087415 -0.0177052817
  < 5 -0.0009992007 0.006061818 0.0024535929
  < 10 -0.0058286709 0.091686381 0.0005995204
  ---
  > 1 -0.0186520938 0.2230771123 -0.0175442993
  > 5 0.0025424107 0.0001332268 0.0004884981
  > 10 -0.0006439294 0.0916815235 -0.0005107026
  3212,3222c3212,3222
  < 1 0.111753476 1.527046e-03 -0.0005739352 1.456956e-03 -0.198128323
  < 5 -0.063089837 1.721129e-02 -0.0023207778 5.001046e-02 -0.053072771
  < 10 0.007113414 5.921216e-06 0.0015433300 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 0.1709854480 -7.105427e-04 -0.0214609580 -0.0293209901 0.0484279283
  < 5 0.0215161222 -4.696243e-03 -0.0010436096 -0.0412919698 0.0117239551
  < 10 0.0001436351 -1.301043e-06 -0.0005995204 -0.0002539635 -0.0006994405
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.253774779 -1.089129e-02 3.814032e-02 0.0242250664 0.505434583
  < 5 0.005839773 -6.050715e-04 6.661338e-05 0.0018152146 0.005739853
  < 10 -0.002982337 -1.422473e-05 5.551115e-05 0.0004163336 0.002742251
  ---
  > 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 -0.0379627013 0.0115354101
  < 5 5.937504e-03 -0.101064790 0.174963312 -0.1495208182 0.0314384458
  < 10 -4.870543e-05 -0.005021199 0.005014897 -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 -0.0063504757 0.061028960 -0.066558564 -0.003297362 -0.011057821
  < 5 -0.0024202862 0.005123679 -0.009348078 0.086236573 -0.003164136
  < 10 -0.0002491063 0.016023207 -0.016153745 0.001183081 -0.000144329
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0028865799 -0.063060668 0.067176473 0.002153833 0.012376211
  < 5 0.0003885781 -0.003758105 0.006128431 -0.087266305 0.002231548
  < 10 0.0007320533 -0.018673778 0.016253665 -0.001271899 -0.003375078
  ---
  > 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 0.1533672807 -0.0170856543 0.1021475976 -0.015234437
  < 5 0.01706428 0.2706950979 -0.1170210612 0.2281052243 -0.069036460
  < 10 -0.00124792 0.0009130557 0.0002325345 0.0008654111 0.001253533
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.060906835 -0.006838974 0.0004714978 -0.006761258 0.0010075274
  < 5 -0.009703349 0.110345066 0.0049404925 -0.241129339 -0.0485500529
  < 10 0.002104567 -0.004256664 0.0001887379 -0.004010681 -0.0007993606
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.055067062 0.002642331 -0.0003191891 0.002708944 -9.714451e-05
  < 5 -0.001221245 -0.246014320 -0.0033306691 0.358676977 9.485746e-02
  < 10 -0.007035345 0.003670068 0.0008326673 0.003379935 1.487699e-03
  ---
  > 1 -0.07200764 0.15336728 -0.0170856543 0.1021475979 -1.523444e-02
  > 5 0.02094032 0.27824374 0.2698132210 -0.3692319396 1.351237e-02
  > 10 0.01288559 -0.01624475 -0.0003849974 0.0008654111 5.082867e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.060718097 -0.00821565 0.0004871104 -0.008115730 0.001054712
  > 5 -0.001321165 -0.10344225 -0.0920818977 0.186402282 0.001432188
  > 10 -0.007135958 0.05101345 -0.0008881784 -0.004032885 -0.001509903
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0554334356 0.003519407 -0.0003358425 0.003552714 -0.0002664535
  > 5 -0.0004440892 0.163910552 0.0689004409 -0.187833082 -0.0207389661
  > 10 0.0391991994 -0.042962313 0.0022870594 0.003456263 0.0010769163
  3257,3267c3257,3267
  < 1 -0.0015259601 -8.967698e-03 0.0005990771 -1.411246e-03 0.0105397591
  < 5 0.0175774628 2.395467e-02 0.0058390024 -2.629045e-02 0.0428897486
  < 10 -0.0001510784 -2.604089e-07 -0.0007398904 4.714854e-06 -0.0005445024
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -4.041212e-02 2.873257e-02 0.001444331 1.543210e-03 -0.021996294
  < 5 -1.865175e-03 2.527700e-01 0.001165734 3.957112e-02 -0.191791028
  < 10 1.526557e-05 2.602085e-07 0.001332268 4.718448e-05 0.001065814
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0491717778 -3.046452e-02 -0.0018384599 -0.0010547119 0.021885271
  < 5 -0.0008437695 -4.362011e-01 -0.0008437695 -0.0502681230 0.346611628
  < 10 -0.0001200429 -6.678685e-06 -0.0019650948 -0.0001158795 -0.001731948
  ---
  > 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 -0.2656266708 -1.938076e-01 -0.041997050
  < 10 -1.186676e-05 -4.985483e-06 -0.0004924704 -2.991087e-06 -0.002234393
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0021316282 -1.422196e-02 -4.544976e-05 -8.215650e-04 0.0001887379
  < 5 -0.0013100632 3.069212e-02 2.461364e-02 4.965472e-03 0.0059396932
  < 10 0.0002019218 -5.212844e-05 1.620926e-03 -2.498002e-05 -0.0059063865
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0027089442 1.512124e-02 5.169476e-05 1.176836e-03 0.0002053913
  < 5 0.0006217249 -2.526312e-02 -1.980638e-02 -4.213296e-03 -0.0051958438
  < 10 0.0001706968 2.281161e-05 -4.440892e-04 -1.873501e-05 0.0043742787
  ---
  > 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 -0.0049876464 -3.289512e-03 -0.013860934 4.270861e-03 -0.0174903269
  < 5 0.0034557273 -6.116294e-04 -0.013952578 6.473313e-02 -0.0109850992
  < 10 0.0001767612 4.027230e-07 0.000145866 2.991093e-06 0.0001550854
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0010880186 1.588729e-02 0.0400169481 5.406786e-03 0.0301786374
  < 5 -0.0006439294 2.609024e-04 -0.0001776357 -5.861422e-02 -0.0001776357
  < 10 -0.0001061651 3.295975e-06 0.0008881784 -3.469447e-05 0.0008548717
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 8.881784e-04 -1.725287e-02 -4.545704e-02 -0.0061173289 -0.0335370620
  < 5 9.547918e-04 -2.886580e-04 4.440892e-05 0.0607791595 0.0001776357
  < 10 6.938894e-06 4.336809e-07 -2.775558e-04 -0.0000194289 0.0001332268
  ---
  > 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 -0.0013927405 -7.163088e-03 0.016362166 -0.0420913445 0.0877820318
  < 5 0.0131219797 -6.481625e-02 -0.004527682 -0.0542621664 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 -5.757617e-02 -2.420286e-03 -0.005013698 0.086730623 -0.067099104
  < 5 -6.816769e-03 -6.480927e-02 0.001287859 0.307615045 -0.031707970
  < 10 -4.024558e-05 2.385245e-05 0.001110223 0.001589701 -0.001054712
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0632938146 3.941292e-03 0.0042854609 -0.064859229 0.0444089210
  < 5 0.0003663736 1.233180e-01 0.0005995204 -0.418406976 0.0360933505
  < 10 0.0005162537 -1.361758e-05 -0.0003441691 -0.002143424 0.0009547918
  ---
  > 1 -0.0013927409 -7.163088e-03 0.0163621658 -0.0420913450 0.08778203
  > 5 -0.0301855868 -7.148279e-02 -0.3023276978 0.5864299890 0.24697414
  > 10 -0.0009567664 1.318907e-05 -0.0002274356 -0.0003593979 0.04868274
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0574096326 -2.897682e-03 -0.005009881 0.086342045 -0.06700196
  > 5 0.0032196468 2.498002e-02 0.079902751 -0.134707523 -0.16082691
  > 10 -0.0003719247 -8.046949e-05 0.001176836 0.001607742 0.01766365
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.0637490061 5.351275e-03 0.004302808 -0.063504757 0.04441447
  > 5 0.0003552714 -4.183875e-02 -0.060129679 0.144950718 0.22896129
  > 10 0.0015126789 8.463282e-05 -0.001754152 -0.002171874 -0.02933209
  3316,3317c3316,3317
  < d_y1_d_x1 -0.231649069 0.201546991 -0.283557408 0.247360367 0.005905711
  < d_y2_d_x1 -0.033140141 -0.061128275 -0.040566243 0.035387827 0.151126660
  ---
  > d_y1_d_x1 -0.231649068 0.201546991 -0.283557408 0.247360367 0.005905710
  > d_y2_d_x1 -0.033140140 -0.061128275 -0.040566243 0.035387828 0.151126660
  3319,3330c3319,3330
  < d_y4_d_x1 -0.062144315 -0.100909653 -0.076069725 0.066359173 0.013383880
  < d_y5_d_x1 0.001838303 0.005409738 0.002250234 -0.001962984 -0.008059541
  < d_y1_d_x2 -0.016608936 0.000000000 0.412923387 0.018030022 0.074795725
  < d_y2_d_x2 0.055733196 0.000000000 0.041078840 -0.058730798 -0.152999835
  < d_y3_d_x2 0.027142524 0.000000000 0.019148543 -0.029012209 -0.026125282
  < d_y4_d_x2 0.063027361 0.000000000 0.038306344 -0.066635586 -0.010069723
  < d_y5_d_x2 -0.008348877 0.000000000 -0.006731435 0.009020562 0.029634628
  < d_y1_d_x3 0.062927441 0.000000000 0.075706108 0.367126687 -0.085975671
  < d_y2_d_x3 -0.057398530 0.000000000 -0.072430950 0.035194657 0.125266464
  < d_y3_d_x3 -0.043440598 0.000000000 -0.053142560 0.032202684 0.027896088
  < d_y4_d_x3 -0.037547743 0.000000000 -0.048250293 0.003278807 0.005051515
  < d_y5_d_x3 0.007585599 0.000000000 0.009892087 -0.004832954 -0.029595770
  ---
  > d_y4_d_x1 -0.062144315 -0.100909653 -0.076069725 0.066359172 0.013383879
  > d_y5_d_x1 0.001838303 0.005409738 0.002250233 -0.001962984 -0.008059541
  > d_y1_d_x2 -0.016697754 0.000000000 0.413145431 0.018074431 0.074540374
  > d_y2_d_x2 0.055933036 0.000000000 0.042066938 -0.058630878 -0.153199675
  > d_y3_d_x2 0.027188668 0.000000000 0.019133625 -0.029030597 -0.026152344
  > d_y4_d_x2 0.063182792 0.000000000 0.038672718 -0.066402439 -0.009847678
  > d_y5_d_x2 -0.008484879 0.000000000 -0.006809151 0.009023338 0.029518055
  > d_y1_d_x3 0.062383432 0.000000000 0.076294526 0.366471655 -0.084987573
  > d_y2_d_x3 -0.058664185 0.000000000 -0.071975759 0.033984514 0.126132438
  > d_y3_d_x3 -0.043379883 0.000000000 -0.053105090 0.032213440 0.027959232
  > d_y4_d_x3 -0.037481129 0.000000000 -0.047284399 0.001935438 0.005506706
  > d_y5_d_x3 0.007821521 0.000000000 0.009781065 -0.004852382 -0.029412583
  3335c3335
  < d_y4_d_x1 0.01641607 0.016382963 -0.014291623 -0.078470237 -0.08143947
  ---
  > d_y4_d_x1 0.01641607 0.016382964 -0.014291624 -0.078470237 -0.08143947
  3337,3346c3337,3346
  < d_y1_d_x2 0.00000000 0.030997769 -0.078692608 0.027178260 0.00000000
  < d_y2_d_x2 0.00000000 -0.115554796 0.164723790 -0.032684966 0.00000000
  < d_y3_d_x2 0.00000000 -0.023231500 0.027967212 -0.168443384 0.00000000
  < d_y4_d_x2 0.00000000 -0.010679060 0.012057022 0.010602630 0.00000000
  < d_y5_d_x2 0.00000000 0.025247757 -0.031730174 -0.029057312 0.00000000
  < d_y1_d_x3 0.00000000 -0.103617115 0.030176204 -0.029054537 0.00000000
  < d_y2_d_x3 0.00000000 0.154776192 -0.062974634 0.029964919 0.00000000
  < d_y3_d_x3 0.00000000 0.034301381 -0.021044707 0.166050854 0.00000000
  < d_y4_d_x3 0.00000000 0.007283063 -0.004839287 -0.007827072 0.00000000
  < d_y5_d_x3 0.00000000 -0.036329273 0.020837396 0.032213121 0.00000000
  ---
  > d_y1_d_x2 0.00000000 0.031253120 -0.078226314 0.027111646 0.00000000
  > d_y2_d_x2 0.00000000 -0.115255036 0.165012448 -0.032684966 0.00000000
  > d_y3_d_x2 0.00000000 -0.023259602 0.027975192 -0.168416669 0.00000000
  > d_y4_d_x2 0.00000000 -0.009724268 0.012778667 0.010513812 0.00000000
  > d_y5_d_x2 0.00000000 0.025178368 -0.032029934 -0.029029557 0.00000000
  > d_y1_d_x3 0.00000000 -0.104294351 0.030020773 -0.028121949 0.00000000
  > d_y2_d_x3 0.00000000 0.153832502 -0.062930225 0.031552538 0.00000000
  > d_y3_d_x3 0.00000000 0.034301034 -0.021011748 0.166038364 0.00000000
  > d_y4_d_x3 0.00000000 0.006716849 -0.004872594 -0.007083223 0.00000000
  > d_y5_d_x3 0.00000000 -0.036082248 0.020820743 0.032052139 0.00000000
  3348,3349c3348,3349
  < d_y1_d_x1 -0.002594355 0.002263176 0.002705363 -0.070486051 0.003311586
  < d_y2_d_x1 0.048973277 -0.042721677 0.006003173 0.008356094 0.007348375
  ---
  > d_y1_d_x1 -0.002594354 0.002263176 0.002705363 -0.070486050 0.003311586
  > d_y2_d_x1 0.048973277 -0.042721676 0.006003173 0.008356094 0.007348375
  3353,3362c3353,3362
  < d_y1_d_x2 0.020052029 -0.028310687 0.063959948 0.000000000 0.004224438
  < d_y2_d_x2 -0.027482607 0.035038639 -0.008559820 0.000000000 -0.008538367
  < d_y3_d_x2 -0.135334398 0.179817619 0.013669274 0.000000000 0.013828763
  < d_y4_d_x2 0.010386751 -0.009914292 -0.188060678 0.000000000 -0.129713077
  < d_y5_d_x2 -0.025572609 0.031066816 0.011840529 0.000000000 0.010173306
  < d_y1_d_x3 -0.035293990 0.017121040 -0.046829207 0.000000000 -0.055710991
  < d_y2_d_x3 0.036892711 -0.021820469 0.004740652 0.000000000 0.008681944
  < d_y3_d_x3 0.203242978 -0.106376312 -0.009948639 0.000000000 -0.012140289
  < d_y4_d_x3 -0.009892087 0.004502570 0.075228712 0.000000000 0.093636210
  < d_y5_d_x3 0.039315773 -0.024179279 -0.009284240 0.000000000 -0.011335377
  ---
  > d_y1_d_x2 0.020551630 -0.028976821 0.064004357 0.000000000 0.004379869
  > d_y2_d_x2 -0.028404092 0.034261483 -0.008382184 0.000000000 -0.008116483
  > d_y3_d_x2 -0.135296581 0.179849885 0.013615151 0.000000000 0.013828416
  > d_y4_d_x2 0.008921257 -0.010036416 -0.188049576 0.000000000 -0.128902615
  > d_y5_d_x2 -0.025661427 0.031025182 0.011959878 0.000000000 0.010117795
  > d_y1_d_x3 -0.035638159 0.017820481 -0.046340709 0.000000000 -0.056399330
  > d_y2_d_x3 0.038247183 -0.021054415 0.005206946 0.000000000 0.007904788
  > d_y3_d_x3 0.203200998 -0.106376312 -0.009923659 0.000000000 -0.012157983
  > d_y4_d_x3 -0.007882583 0.003880845 0.076316731 0.000000000 0.093403063
  > d_y5_d_x3 0.039018788 -0.024104339 -0.009148238 0.000000000 -0.011365908
  3365c3365
  < d_y2_d_x1 -0.006410331 -0.009035001 -0.016879575 -0.011059580 0.009647788
  ---
  > d_y2_d_x1 -0.006410331 -0.009035000 -0.016879575 -0.011059580 0.009647788
  3367,3378c3367,3378
  < d_y4_d_x1 -0.368982428 -0.012878769 -0.016309113 -0.015764666 0.013752254
  < d_y5_d_x1 0.015714535 -0.101978883 0.192757871 -0.124830494 0.108895468
  < d_y1_d_x2 -0.068611783 -0.016653345 0.000000000 -0.011029355 0.017941204
  < d_y2_d_x2 0.008670842 0.023747670 0.000000000 0.021265474 -0.026212366
  < d_y3_d_x2 -0.014520329 -0.024307986 0.000000000 -0.022129194 0.025912258
  < d_y4_d_x2 0.200939265 0.009958701 0.000000000 0.008948643 -0.011202150
  < d_y5_d_x2 -0.012678747 -0.195235494 0.000000000 0.055325485 0.208399964
  < d_y1_d_x3 -0.022820596 0.020128343 0.000000000 0.026223468 -0.011684387
  < d_y2_d_x3 -0.002953946 -0.023459013 0.000000000 -0.026689762 0.018989516
  < d_y3_d_x3 0.007714903 0.026308469 0.000000000 0.032148589 -0.020457961
  < d_y4_d_x3 0.020455689 -0.007660539 0.000000000 -0.007094325 0.005462543
  < d_y5_d_x3 0.005257794 0.284983148 0.000000000 0.349015261 -0.009431049
  ---
  > d_y4_d_x1 -0.368982428 -0.012878769 -0.016309113 -0.015764666 0.013752255
  > d_y5_d_x1 0.015714535 -0.101978882 0.192757871 -0.124830494 0.108895468
  > d_y1_d_x2 -0.067257311 -0.016930901 0.000000000 -0.011273604 0.018296475
  > d_y2_d_x2 0.010313972 0.023447910 0.000000000 0.021021225 -0.024913405
  > d_y3_d_x2 -0.014536289 -0.024272598 0.000000000 -0.022101438 0.025912258
  > d_y4_d_x2 0.201860750 0.010069723 0.000000000 0.009159585 -0.010913492
  > d_y5_d_x2 -0.012681522 -0.195388150 0.000000000 0.055231116 0.208522088
  > d_y1_d_x3 -0.023686569 0.020317081 0.000000000 0.026001423 -0.012339418
  > d_y2_d_x3 -0.004164089 -0.022792879 0.000000000 -0.026745273 0.017512920
  > d_y3_d_x3 0.007678127 0.026214794 0.000000000 0.032096201 -0.020457267
  > d_y4_d_x3 0.020078213 -0.007338574 0.000000000 -0.007149836 0.004752000
  > d_y5_d_x3 0.005421552 0.285071966 0.000000000 0.348793217 -0.009472682
  3380,3394c3380,3394
  < d_y1_d_x1 0.072752928 -0.0272145781 0.186660139 0.1117534757 0.011811864
  < d_y2_d_x1 0.012780185 0.0343705292 -0.053983213 0.0015270459 -0.129013157
  < d_y3_d_x1 -0.006363313 0.0108054844 -0.033931029 -0.0005739352 0.119873943
  < d_y4_d_x1 -0.023256312 -0.0063509997 0.016983141 0.0014569558 -0.037962701
  < d_y5_d_x1 0.008657582 -0.0007693304 0.004752178 -0.1981283229 0.011535410
  < d_y1_d_x2 -0.154187774 0.0356048524 -0.182076576 0.1709854480 -0.006350476
  < d_y2_d_x2 -0.163535852 -0.0392796906 -0.009259260 -0.0007105427 0.061028960
  < d_y3_d_x2 -0.004302461 -0.0409856177 0.017602586 -0.0214609580 -0.066558564
  < d_y4_d_x2 -0.002964295 0.0006439294 -0.164512848 -0.0293209901 -0.003297362
  < d_y5_d_x2 0.032740477 -0.0107636122 0.010777490 0.0484279283 -0.011057821
  < d_y1_d_x3 0.094635411 -0.0496935826 0.045297099 -0.2537747790 0.002886580
  < d_y2_d_x3 0.281130674 0.0582200954 0.013167245 -0.0108912879 -0.063060668
  < d_y3_d_x3 0.019988872 0.1200671507 -0.018609767 0.0381403242 0.067176473
  < d_y4_d_x3 0.007638334 -0.0019095836 0.224087415 0.0242250664 0.002153833
  < d_y5_d_x3 -0.057370775 0.0230732100 -0.017705282 0.5054345831 0.012376211
  ---
  > d_y1_d_x1 0.072752928 -0.0272145783 0.186660139 0.1117534759 0.011811864
  > d_y2_d_x1 0.012780185 0.0343705286 -0.053983212 0.0015270459 -0.129013157
  > d_y3_d_x1 -0.006363313 0.0108054843 -0.033931029 -0.0005739351 0.119873943
  > d_y4_d_x1 -0.023256311 -0.0063509998 0.016983142 0.0014569559 -0.037962702
  > d_y5_d_x1 0.008657582 -0.0007693303 0.004752178 -0.1981283229 0.011535410
  > d_y1_d_x2 -0.154654067 0.0360045327 -0.181510362 0.1711852882 -0.005939693
  > d_y2_d_x2 -0.164868119 -0.0377586851 -0.008093526 0.0002331468 0.060929040
  > d_y3_d_x2 -0.004296910 -0.0409415557 0.017625831 -0.0214449986 -0.066579381
  > d_y4_d_x2 -0.003541611 0.0012878587 -0.163313807 -0.0282662782 -0.004185541
  > d_y5_d_x2 0.032723824 -0.0105915277 0.010780266 0.0486721774 -0.011093904
  > d_y1_d_x3 0.094901864 -0.0496602759 0.044542148 -0.2541411526 0.002520206
  > d_y2_d_x3 0.282052159 0.0575095527 0.012712054 -0.0130895295 -0.062783112
  > d_y3_d_x3 0.019979157 0.1200622934 -0.018652094 0.0381764065 0.067146289
  > d_y4_d_x3 0.008082424 -0.0026201263 0.223077112 0.0217714735 0.002819966
  > d_y5_d_x3 -0.057312488 0.0228012054 -0.017544299 0.5051792318 0.012226331
  3396,3410c3396,3410
  < d_y1_d_x1 -7.200764e-02 -0.0015259601 3.554540e-03 -0.0049876464 -0.001392740
  < d_y2_d_x1 1.533673e-01 -0.0089676985 1.880437e-02 -0.0032895116 -0.007163088
  < d_y3_d_x1 -1.708565e-02 0.0005990771 3.880844e-02 -0.0138609341 0.016362166
  < d_y4_d_x1 1.021476e-01 -0.0014112459 -2.344463e-02 0.0042708610 -0.042091345
  < d_y5_d_x1 -1.523444e-02 0.0105397591 3.942352e-03 -0.0174903269 0.087782032
  < d_y1_d_x2 6.090684e-02 -0.0404121181 -2.131628e-03 -0.0010880186 -0.057576166
  < d_y2_d_x2 -6.838974e-03 0.0287325719 -1.422196e-02 0.0158872915 -0.002420286
  < d_y3_d_x2 4.714978e-04 0.0014443308 -4.544976e-05 0.0400169481 -0.005013698
  < d_y4_d_x2 -6.761258e-03 0.0015432100 -8.215650e-04 0.0054067861 0.086730623
  < d_y5_d_x2 1.007527e-03 -0.0219962937 1.887379e-04 0.0301786374 -0.067099104
  < d_y1_d_x3 -5.506706e-02 0.0491717778 2.708944e-03 0.0008881784 0.063293815
  < d_y2_d_x3 2.642331e-03 -0.0304645198 1.512124e-02 -0.0172528658 0.003941292
  < d_y3_d_x3 -3.191891e-04 -0.0018384599 5.169476e-05 -0.0454570409 0.004285461
  < d_y4_d_x3 2.708944e-03 -0.0010547119 1.176836e-03 -0.0061173289 -0.064859229
  < d_y5_d_x3 -9.714451e-05 0.0218852714 2.053913e-04 -0.0335370620 0.044408921
  ---
  > d_y1_d_x1 -0.0720076370 -0.0015259608 3.554540e-03 -0.0049876460 -0.001392741
  > d_y2_d_x1 0.1533672810 -0.0089676991 1.880437e-02 -0.0032895114 -0.007163088
  > d_y3_d_x1 -0.0170856543 0.0005990771 3.880844e-02 -0.0138609342 0.016362166
  > d_y4_d_x1 0.1021475979 -0.0014112460 -2.344463e-02 0.0042708608 -0.042091345
  > d_y5_d_x1 -0.0152344370 0.0105397590 3.942352e-03 -0.0174903269 0.087782032
  > d_y1_d_x2 0.0607180972 -0.0400235400 -2.531308e-03 -0.0002220446 -0.057409633
  > d_y2_d_x2 -0.0082156504 0.0290545366 -1.358913e-02 0.0168753900 -0.002897682
  > d_y3_d_x2 0.0004871104 0.0014377388 -6.036838e-05 0.0400100092 -0.005009881
  > d_y4_d_x2 -0.0081157303 0.0022981617 -1.054712e-03 0.0059285910 0.086342045
  > d_y5_d_x2 0.0010547119 -0.0222266650 -5.273559e-05 0.0300010017 -0.067001960
  > d_y1_d_x3 -0.0554334356 0.0487831997 3.319567e-03 0.0011546319 0.063749006
  > d_y2_d_x3 0.0035194070 -0.0309641202 1.338929e-02 -0.0168753900 0.005351275
  > d_y3_d_x3 -0.0003358425 -0.0018301333 3.400058e-05 -0.0453956317 0.004302808
  > d_y4_d_x3 0.0035527137 -0.0021316282 6.661338e-05 -0.0054178884 -0.063504757
  > d_y5_d_x3 -0.0002664535 0.0221100915 2.053913e-04 -0.0334010597 0.044414472
  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 0.5398770 -0.916 0.359
  < 1: d_y2_d_x2 0.0647527 0.3324834 0.195 0.846
  < 1: d_y3_d_x2 -0.0794619 0.3063348 -0.259 0.795
  < 1: d_y4_d_x2 0.0974803 0.3727971 0.261 0.794
  < 1: d_y5_d_x2 -0.2317200 0.3160134 -0.733 0.463
  < 1: d_y1_d_x3 -0.4766197 0.5101897 -0.934 0.350
  < 1: d_y2_d_x3 -0.0502785 0.3821351 -0.132 0.895
  < 1: d_y3_d_x3 0.0766180 0.3376537 0.227 0.820
  < 1: d_y4_d_x3 -0.0365310 0.2722812 -0.134 0.893
  < 1: d_y5_d_x3 0.3439783 0.6875067 0.500 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 0.1206297 -0.090 0.928
  < 2: d_y2_d_x2 0.2743781 0.4857283 0.565 0.572
  < 2: d_y3_d_x2 -0.0006287 0.0288927 -0.022 0.983
  < 2: d_y4_d_x2 0.2036307 0.5829741 0.349 0.727
  < 2: d_y5_d_x2 -0.3347576 0.4397181 -0.761 0.446
  < 2: d_y1_d_x3 -0.0065804 0.0784515 -0.084 0.933
  < 2: d_y2_d_x3 -0.5189332 0.9408211 -0.552 0.581
  < 2: d_y3_d_x3 0.0010228 0.0232831 0.044 0.965
  < 2: d_y4_d_x3 -0.2494990 0.8229755 -0.303 0.762
  < 2: d_y5_d_x3 0.5419625 0.7016237 0.772 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 0.3160055 -0.279 0.780
  < 3: d_y2_d_x2 0.0106005 0.0502291 0.211 0.833
  < 3: d_y3_d_x2 -0.0862048 0.2729630 -0.316 0.752
  < 3: d_y4_d_x2 0.0780616 0.2174803 0.359 0.720
  < 3: d_y5_d_x2 -0.0047180 0.0237120 -0.199 0.842
  < 3: d_y1_d_x3 -0.0973256 0.2962207 -0.329 0.742
  < 3: d_y2_d_x3 -0.0145293 0.0707802 -0.205 0.837
  < 3: d_y3_d_x3 0.0570375 0.1485257 0.384 0.701
  < 3: d_y4_d_x3 -0.0703260 0.1836093 -0.383 0.702
  < 3: d_y5_d_x3 0.0072767 0.0310981 0.234 0.815
  ---
  > 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’ [0s/0s]
  Comparing ‘pmvnormWrapTest.Rout’ to ‘pmvnormWrapTest.Rout.save’ ...116c116
  < [1] "Mean relative difference: 9.988719e-10"
  ---
  > [1] "Mean relative difference: 9.988721e-10"
• checking PDF version of manual ... OK