• using R version 3.0.1 (2013-05-16)
• using platform: i686-pc-linux-gnu (32-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 ... [12s/12s] OK
• checking for unstated dependencies in tests ... OK
• checking tests ... [279s/279s] OK
  Running ‘mvProbitEst.R’ [72s/72s]
  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: 2.585211e-07"
  < [2] "Component 3: Mean relative difference: 2.339118e-06"
  < [3] "Component 4: Mean relative difference: 1.014654e-06"
  < [4] "Component 11: Mean relative difference: 5.50416e-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: 2.202655e-07"
  < [2] "Component 3: Mean relative difference: 9.77446e-07"
  < [3] "Component 4: Mean relative difference: 5.203878e-07"
  < [4] "Component 12: Mean relative difference: 2.467369e-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: 3.318313e-05"
  < [3] "Component 3: Mean relative difference: 0.002103889"
  < [4] "Component 4: Mean relative difference: 0.0003712328"
  < [5] "Component 12: Mean relative difference: 0.000283579"
  ---
  > [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: 0.008245328"
  ---
  > [1] "Component 1: Mean relative difference: 0.000122134"
  > [2] "Component 2: Mean relative difference: 0.002077232"
  > [3] "Component 3: Mean relative difference: 0.01738213"
  > [4] "Component 4: Mean relative difference: 0.01309901"
  > [5] "Component 12: Mean relative difference: 0.006838735"
  521c523
  < 0.80 1.20 -0.80 -0.60 1.00 -1.60 0.50 -0.60 1.36 0.20 0.40 -0.10
  ---
  > 0.80 1.20 -0.80 -0.44 1.00 -1.60 0.50 -0.60 1.20 0.20 0.40 -0.10
  532,543c534,545
  < b_1_0 0.8000 1.1545 0.693 0.4883
  < b_1_1 1.2000 1.6297 0.736 0.4615
  < b_1_2 -0.8000 0.9730 -0.822 0.4110
  < b_2_0 -0.6000 0.5911 -1.015 0.3101
  < b_2_1 1.0000 0.6943 1.440 0.1498
  < b_2_2 -1.6000 0.6923 -2.311 0.0208 *
  < b_3_0 0.5000 0.9002 0.555 0.5786
  < b_3_1 -0.6000 0.8996 -0.667 0.5048
  < b_3_2 1.3600 0.8588 1.584 0.1133
  < R_1_2 0.2000 1.6393 0.122 0.9029
  < R_1_3 0.4000 1.4058 0.285 0.7760
  < R_2_3 -0.1000 0.4035 -0.248 0.8043
  ---
  > b_1_0 0.8000 1.0541 0.759 0.4479
  > b_1_1 1.2000 0.7460 1.609 0.1077
  > b_1_2 -0.8000 0.9185 -0.871 0.3838
  > b_2_0 -0.4400 0.7968 -0.552 0.5808
  > b_2_1 1.0000 0.8707 1.149 0.2507
  > b_2_2 -1.6000 0.6578 -2.432 0.0150 *
  > b_3_0 0.5000 0.5151 0.971 0.3317
  > b_3_1 -0.6000 0.7708 -0.778 0.4363
  > b_3_2 1.2000 0.6109 1.964 0.0495 *
  > R_1_2 0.2000 2.4163 0.083 0.9340
  > R_1_3 0.4000 0.7321 0.546 0.5848
  > R_2_3 -0.1000 0.3416 -0.293 0.7697
  549c551
  < Log-likelihood: -48.51181 on 12 Df
  ---
  > Log-likelihood: -56.94782 on 12 Df
  552c554
  < 'log Lik.' -48.51181 (df=12)
  ---
  > 'log Lik.' -56.94782 (df=12)
  562c564
  < 'log Lik.' 0.000770049 (df=12)
  ---
  > 'log Lik.' -0.004270927 (df=12)
  570c572
  < 'log Lik.' 0.009170254 (df=12)
  ---
  > 'log Lik.' 0.01228506 (df=12)
  578c580
  < 'log Lik.' -0.003346021 (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)
  602,651c604,653
  < 1 0.258872436 0.2739467762 -0.208895073 -0.297614247 -3.054124e-01
  < 2 0.195417286 0.3409786470 -0.234422670 -0.252626223 -4.751749e-01
  < 3 0.192373000 0.3430715024 -0.234799085 -0.038342606 -6.241304e-01
  < 4 0.471086247 0.0182040297 -0.027722853 -0.236175311 -7.581867e-02
  < 5 0.155540831 0.3555071875 -0.231144664 -0.027149710 -5.669601e-01
  < 6 0.479735537 0.0101714191 -0.017582799 -0.262004101 -4.540198e-02
  < 7 0.017057813 0.0437354563 -0.027964612 -0.001057149 -2.271095e-02
  < 8 0.336824035 0.1666264281 -0.148796793 -0.334309741 -1.404598e-01
  < 9 0.229002476 0.3100549298 -0.224656960 -0.278088468 -3.836269e-01
  < 10 0.250155094 0.2850722466 -0.214066152 -0.292218204 -3.276179e-01
  < 11 0.288661811 0.2336846380 -0.188377881 -0.077310586 -5.636374e-01
  < 12 0.108093068 0.3229793513 -0.198721014 -0.015358299 -4.174412e-01
  < 13 0.135861080 0.3499146703 -0.221971492 -0.021908447 -5.151003e-01
  < 14 0.047726296 0.1665696808 -0.099405508 -0.004546265 -1.403899e-01
  < 15 0.043419629 0.1501025934 -0.089782866 -0.081915598 -4.238270e-01
  < 16 0.270668235 0.2583367707 -0.201254970 -0.068814518 -5.935719e-01
  < 17 0.304893340 0.2110071227 -0.175726234 -0.085540004 -5.312482e-01
  < 18 0.213134902 0.3262818875 -0.230476867 -0.266525088 -4.268698e-01
  < 19 0.408887595 0.0768231204 -0.083947975 -0.156273715 -2.547730e-01
  < 20 0.454937659 0.0008038804 -0.002358345 -0.207808093 -1.612296e-04
  < 21 0.109821803 0.3253946092 -0.200552787 -0.169627319 -6.346478e-01
  < 22 0.002776706 0.0019901082 -0.001691024 -0.007456803 -1.038715e-02
  < 23 0.424042403 0.0608459778 -0.070345275 -0.344039786 -3.503567e-02
  < 24 0.079605534 0.2671588178 -0.160538050 -0.132938866 -6.027849e-01
  < 25 0.082248936 0.2736706154 -0.164734597 -0.136337299 -6.090189e-01
  < 26 0.427438051 0.0574266112 -0.067313106 -0.343374291 -3.245646e-02
  < 27 0.144542771 0.3536141779 -0.226709764 -0.024158698 -5.398146e-01
  < 28 0.032981896 0.1082366191 -0.065512697 -0.002672614 -7.623839e-02
  < 29 0.242138476 0.2949157584 -0.218425404 -0.287035683 -3.485325e-01
  < 30 0.172543271 0.3529994693 -0.234829709 -0.032087723 -5.997339e-01
  < 31 0.202794120 0.3353566851 -0.233133014 -0.041851138 -6.312155e-01
  < 32 0.289997837 0.2318277204 -0.187370278 -0.314819204 -2.317307e-01
  < 33 0.129367275 0.3457667959 -0.217672229 -0.020288602 -4.947488e-01
  < 34 0.350491026 0.1481781349 -0.136720494 -0.112038609 -4.199626e-01
  < 35 0.156547965 0.3555348174 -0.231467209 -0.027431519 -5.692121e-01
  < 36 0.277336919 0.2492937918 -0.196641686 -0.071890072 -5.832764e-01
  < 37 0.438932012 0.0462905286 -0.057083045 -0.186972624 -1.684083e-01
  < 38 0.301812775 0.2153237399 -0.178192135 -0.320486214 -2.063727e-01
  < 39 0.137144942 0.3505916785 -0.222743785 -0.199187935 -6.090681e-01
  < 40 0.446570930 0.0392561225 -0.050293091 -0.337026772 -1.973568e-02
  < 41 0.421906917 0.0630266801 -0.072255050 -0.344400171 -3.670972e-02
  < 42 0.328426233 0.1781713962 -0.156083069 -0.331416057 -1.549907e-01
  < 43 0.255462967 0.2783452247 -0.210968441 -0.295533552 -3.140256e-01
  < 44 0.090084033 0.2913294479 -0.176376026 -0.011634410 -3.407606e-01
  < 45 0.470435333 0.0187548421 -0.028374537 -0.234751830 -7.781585e-02
  < 46 0.093857564 0.2989732354 -0.181561402 -0.150815776 -6.278794e-01
  < 47 0.435470146 0.0003744474 -0.001282157 -0.182984455 -6.473367e-05
  < 48 0.480273895 0.0095150434 -0.016685822 -0.295568990 -3.276315e-03
  < 49 0.153658158 0.3553919845 -0.230504901 -0.026626489 -5.626451e-01
  < 50 0.047071212 0.1641021118 -0.097959552 -0.087504177 -4.510703e-01
  ---
  > 1 0.3229491571 0.3836676992 -0.316955571 -0.441979915 -0.4386127078
  > 2 0.2429445848 0.3993797590 -0.330144619 -0.387614512 -0.5794260400
  > 3 0.2388601819 0.3982789455 -0.329783586 -0.099223749 -0.5013923968
  > 4 0.4010839953 0.0557836102 -0.084205830 -0.451571736 -0.1886322555
  > 5 0.1883227203 0.3691077222 -0.316570405 -0.067411731 -0.3961556791
  > 6 0.3702088341 0.0348830182 -0.061413065 -0.455364197 -0.1278614688
  > 7 0.0103207595 0.0220458595 -0.053123552 -0.001122225 -0.0060669426
  > 8 0.4007100991 0.2907940043 -0.259618855 -0.451711635 -0.2456774131
  > 9 0.2866645193 0.3996281228 -0.327737008 -0.421511449 -0.5108161192
  > 10 0.3126554267 0.3897239251 -0.320854424 -0.436950408 -0.4603049277
  > 11 0.3559814758 0.3554683196 -0.299468024 -0.205103323 -0.6288130110
  > 12 0.1219655175 0.2849034003 -0.270662367 -0.034586201 -0.2369272202
  > 13 0.1607955228 0.3407304015 -0.301945123 -0.052636441 -0.3318476745
  > 14 0.0425053789 0.1103217794 -0.148796997 -0.007619505 -0.0545819827
  > 15 0.0374442582 0.0966390781 -0.136761212 -0.096792632 -0.2915498517
  > 16 0.3364458707 0.3738145586 -0.310770786 -0.183076398 -0.6237777822
  > 17 0.3723866025 0.3359155655 -0.287500211 -0.225743149 -0.6256260658
  > 18 0.2663398659 0.4021325788 -0.330275056 -0.406929888 -0.5455404372
  > 19 0.4376429542 0.1696359686 -0.178946449 -0.370373203 -0.4388108527
  > 20 0.2241585805 0.0042036728 -0.014953502 -0.089300446 -0.0007183302
  > 21 0.1243685670 0.2889115851 -0.273009380 -0.249665699 -0.5965848232
  > 22 0.0007459368 0.0006997555 -0.005794037 -0.002963512 -0.0038764260
  > 23 0.4382229462 0.1426446471 -0.158983664 -0.377686061 -0.0793317558
  > 24 0.0830536061 0.2095390165 -0.223402595 -0.184151430 -0.5029618391
  > 25 0.0865903765 0.2172089609 -0.228508578 -0.190194230 -0.5140300922
  > 26 0.4378382911 0.1365702837 -0.154340785 -0.372385737 -0.0744061887
  > 27 0.1729600304 0.3543882323 -0.309111596 -0.058957089 -0.3607121360
  > 28 0.0257893979 0.0644472362 -0.105597216 -0.003833087 -0.0256483436
  > 29 0.3029664390 0.3943070185 -0.323906809 -0.431637730 -0.4798749185
  > 30 0.2118732333 0.3863181844 -0.324795264 -0.081441034 -0.4476780387
  > 31 0.2527667060 0.4012707688 -0.330599116 -0.109160768 -0.5263904900
  > 32 0.3573773964 0.3539600683 -0.298544079 -0.453545721 -0.3597566944
  > 33 0.1516902826 0.3293284563 -0.295806452 -0.048116319 -0.3098804128
  > 34 0.4109693775 0.2693770277 -0.246106417 -0.287100465 -0.5780744977
  > 35 0.1897254894 0.3703130155 -0.317166727 -0.068210588 -0.3993266523
  > 36 0.3438409908 0.3674584553 -0.306835661 -0.191130998 -0.6266939812
  > 37 0.4348121020 0.1159357570 -0.138075145 -0.412808406 -0.3345517685
  > 38 0.3693685444 0.3398244946 -0.289893267 -0.455294843 -0.3300385705
  > 39 0.1625954940 0.3428642991 -0.303078714 -0.301623340 -0.6275330281
  > 40 0.4310083028 0.1021309737 -0.126696301 -0.337178116 -0.0488785748
  > 41 0.4383602628 0.1464601355 -0.161869641 -0.380895849 -0.0824913410
  > 42 0.3938189786 0.3033933329 -0.267470489 -0.453789429 -0.2652455676
  > 43 0.3189542362 0.3861651946 -0.318550501 -0.440105656 -0.4471386008
  > 44 0.0971786805 0.2391890488 -0.242745143 -0.024716381 -0.1761938531
  > 45 0.4025240934 0.0571278504 -0.085567351 -0.451004212 -0.1923211012
  > 46 0.1023270344 0.2493442534 -0.249136290 -0.216048167 -0.5558718553
  > 47 0.1866549090 0.0021906375 -0.009700155 -0.066467854 -0.0003164631
  > 48 0.3664195841 0.0330393066 -0.059215375 -0.217972882 -0.0103701668
  > 49 0.1856983820 0.3667908424 -0.315417388 -0.065929410 -0.3901921733
  > 50 0.0417272238 0.1082331002 -0.146997339 -0.105894032 -0.3177684702
  653,702c655,704
  < 1 0.4180576497
  < 2 0.5315147772
  < 3 0.5586141020
  < 4 0.1135593116
  < 5 0.5080479928
  < 6 0.0757296451
  < 7 0.0326436774
  < 8 0.2555703277
  < 9 0.4764168603
  < 10 0.4356774080
  < 11 0.5339664181
  < 12 0.3859912893
  < 13 0.4652662165
  < 14 0.1514097032
  < 15 0.3098176347
  < 16 0.5531917513
  < 17 0.5119435558
  < 18 0.5042843486
  < 19 0.2933087075
  < 20 0.0019075455
  < 21 0.5522447235
  < 22 0.0088447550
  < 23 0.0985460084
  < 24 0.4823145368
  < 25 0.4908122095
  < 26 0.0933734063
  < 27 0.4855195105
  < 28 0.0903332693
  < 29 0.4515030921
  < 30 0.5360708795
  < 31 0.5662600122
  < 32 0.3531091804
  < 33 0.4486922695
  < 34 0.4301176958
  < 35 0.5099369881
  < 36 0.5467389282
  < 37 0.2125360414
  < 38 0.3281768605
  < 39 0.5731034363
  < 40 0.0655859753
  < 41 0.1018375518
  < 42 0.2726907778
  < 43 0.4249935135
  < 44 0.3233911542
  < 45 0.1159115779
  < 46 0.5224349671
  < 47 0.0009606262
  < 48 0.0178525049
  < 49 0.5044387516
  < 50 0.3323667099
  ---
  > 1 0.385921457
  > 2 0.468985619
  > 3 0.443346687
  > 4 0.222238974
  > 5 0.384718603
  > 6 0.172171936
  > 7 0.028392575
  > 8 0.261220788
  > 9 0.428728212
  > 10 0.398908844
  > 11 0.502249044
  > 12 0.280689477
  > 13 0.345312727
  > 14 0.112624216
  > 15 0.322287902
  > 16 0.501467723
  > 17 0.499011308
  > 18 0.449048188
  > 19 0.389108071
  > 20 0.005756040
  > 21 0.491440700
  > 22 0.022018756
  > 23 0.123707351
  > 24 0.446573484
  > 25 0.452240875
  > 26 0.118602809
  > 27 0.363374398
  > 28 0.070196017
  > 29 0.410521296
  > 30 0.414264757
  > 31 0.456293194
  > 32 0.337325583
  > 33 0.331118108
  > 34 0.470092740
  > 35 0.386586180
  > 36 0.502296099
  > 37 0.324544502
  > 38 0.318287912
  > 39 0.502499069
  > 40 0.090013131
  > 41 0.126925752
  > 42 0.274927429
  > 43 0.391041960
  > 44 0.233697242
  > 45 0.225088604
  > 46 0.472883551
  > 47 0.003381937
  > 48 0.032673430
  > 49 0.381188131
  > 50 0.339567947
  707,711c709,713
  < 1 0.06664716 0.008244374 0.04488189 0.015080825 0.002144025 0.055926820
  < 2 0.07328418 0.006640480 0.06507966 0.002058727 -0.008365822 0.048188767
  < 3 0.07357358 0.006466104 0.06578741 -0.008844485 -0.010082834 0.008711814
  < 4 0.21745216 0.003594170 -0.01035947 0.069715977 -0.010516715 0.027788269
  < 5 0.07518988 0.003438467 0.07128026 -0.012554467 -0.006070825 0.008719317
  ---
  > 1 0.03877687 -0.016279760 -0.006506543 -0.0085524411 -0.019547037 0.005454279
  > 2 0.04152043 -0.040327021 -0.019207150 0.0004315898 0.007676233 0.012659633
  > 3 0.04198335 -0.041152336 -0.019563310 -0.0163880273 0.028694027 0.004474309
  > 4 0.07492160 -0.005167857 0.014058108 -0.0450526067 0.010011396 -0.020390007
  > 5 0.04747089 -0.045578202 -0.021184702 -0.0229278566 0.016834638 -0.004204519
  716,720c718,722
  < 1 0.008244374 0.033089139 0.0014718673 -0.007939616 0.026384075 0.001359817
  < 2 0.006640480 0.059497712 0.0117484032 -0.009253372 0.028251491 -0.006357477
  < 3 0.006466104 0.060790429 0.0121423272 0.004440418 -0.017141563 -0.016283465
  < 4 0.003594170 0.001904172 -0.0007712737 0.001090085 -0.005634238 0.001800720
  < 5 0.003438467 0.072586268 0.0147973998 0.003779580 -0.007000037 -0.012367056
  ---
  > 1 -0.016279760 0.06838234 0.032611453 -0.030785596 0.036198536 -0.0175058405
  > 2 -0.040327021 0.09950789 0.038272789 -0.009186342 -0.007934649 -0.0359693510
  > 3 -0.041152336 0.10008456 0.037883511 0.029127127 -0.029041689 -0.0145595674
  > 4 -0.005167857 0.01254829 -0.003709549 0.016806180 -0.027225552 0.0053803236
  > 5 -0.045578202 0.09564278 0.028093463 0.025822338 -0.009540776 0.0006788095
  725,729c727,731
  < 1 0.04488189 0.0014718673 0.07809425 0.020237251 0.005778271 0.07768553
  < 2 0.06507966 0.0117484032 0.11313618 -0.003268624 -0.006318310 0.06481671
  < 3 0.06578741 0.0121423272 0.11453948 -0.014366997 -0.024362518 0.01496245
  < 4 -0.01035947 -0.0007712737 0.00666279 0.004171766 0.002429048 -0.01652402
  < 5 0.07128026 0.0147973998 0.12596119 -0.014450467 -0.017797963 0.01767218
  ---
  > 1 -0.006506543 0.032611453 0.08668897 -0.031957080 0.0071226706 0.006486255
  > 2 -0.019207150 0.038272789 0.09482705 -0.012376408 -0.0219579805 -0.020635830
  > 3 -0.019563310 0.037883511 0.09443552 0.021043220 -0.0158342307 -0.006807902
  > 4 0.014058108 -0.003709549 0.01349634 -0.003779655 0.0074845084 -0.017363703
  > 5 -0.021184702 0.028093463 0.08326911 0.017113366 -0.0006060267 0.011689134
  734,738c736,740
  < 1 0.015080825 -0.007939616 0.020237251 0.06023560 -0.014255469 0.036084954
  < 2 0.002058727 -0.009253372 -0.003268624 0.02226841 -0.008836557 0.012992224
  < 3 -0.008844485 0.004440418 -0.014366997 0.01866439 0.007101448 -0.013547351
  < 4 0.069715977 0.001090085 0.004171766 0.15344319 -0.004083074 -0.003969832
  < 5 -0.012554467 0.003779580 -0.014450467 0.01246146 0.005633108 -0.009068805
  ---
  > 1 -0.0085524411 -0.030785596 -0.031957080 0.10518470 -0.014246799 0.003877102
  > 2 0.0004315898 -0.009186342 -0.012376408 0.04271272 0.010036546 0.004318761
  > 3 -0.0163880273 0.029127127 0.021043220 0.03140680 -0.018753031 0.008672458
  > 4 -0.0450526067 0.016806180 -0.003779655 0.14013492 -0.034582161 0.009486614
  > 5 -0.0229278566 0.025822338 0.017113366 0.02541768 -0.007777457 0.010209240
  743,747c745,749
  < 1 0.002144025 0.026384075 0.005778271 -0.014255469 0.04513200 0.007023090
  < 2 -0.008365822 0.028251491 -0.006318310 -0.008836557 0.05436320 0.002581808
  < 3 -0.010082834 -0.017141563 -0.024362518 0.007101448 0.07512200 -0.004345950
  < 4 -0.010516715 -0.005634238 0.002429048 -0.004083074 0.01675332 -0.005729757
  < 5 -0.006070825 -0.007000037 -0.017797963 0.005633108 0.05229537 -0.013152576
  ---
  > 1 -0.019547037 0.036198536 0.0071226706 -0.014246799 0.04659230 -0.013947597
  > 2 0.007676233 -0.007934649 -0.0219579805 0.010036546 0.03455302 -0.006000680
  > 3 0.028694027 -0.029041689 -0.0158342307 -0.018753031 0.07259357 -0.010834949
  > 4 0.010011396 -0.027225552 0.0074845084 -0.034582161 0.05970141 -0.010805226
  > 5 0.016834638 -0.009540776 -0.0006060267 -0.007777457 0.04534636 -0.007453327
  752,756c754,758
  < 1 0.055926820 0.001359817 0.07768553 0.036084954 0.007023090 0.11715823
  < 2 0.048188767 -0.006357477 0.06481671 0.012992224 0.002581808 0.14197197
  < 3 0.008711814 -0.016283465 0.01496245 -0.013547351 -0.004345950 0.12396210
  < 4 0.027788269 0.001800720 -0.01652402 -0.003969832 -0.005729757 0.04349139
  < 5 0.008719317 -0.012367056 0.01767218 -0.009068805 -0.013152576 0.08859730
  ---
  > 1 0.005454279 -0.0175058405 0.006486255 0.003877102 -0.013947597 0.02721375
  > 2 0.012659633 -0.0359693510 -0.020635830 0.004318761 -0.006000680 0.05602195
  > 3 0.004474309 -0.0145595674 -0.006807902 0.008672458 -0.010834949 0.04244698
  > 4 -0.020390007 0.0053803236 -0.017363703 0.009486614 -0.010805226 0.02391138
  > 5 -0.004204519 0.0006788095 0.011689134 0.010209240 -0.007453327 0.02699698
  760,765c762,767
  < d_y1_d_x1 0.035759317 -0.0065300210 0.0320538830 -0.036823981 0.005532956
  < d_y2_d_x1 -0.006530021 0.0313482556 -0.0002233093 0.005914285 -0.032268068
  < d_y3_d_x1 0.032053883 -0.0002233093 0.0553451940 -0.034488276 -0.004891002
  < d_y1_d_x2 -0.036823981 0.0059142851 -0.0344882758 0.038592691 -0.004305662
  < d_y2_d_x2 0.005532956 -0.0322680676 -0.0048910019 -0.004305662 0.045991637
  < d_y3_d_x2 -0.046028998 -0.0017762413 -0.0731297874 0.050012024 0.007208823
  ---
  > d_y1_d_x1 0.020288104 -0.002813578 -0.001572159 -0.031743940 0.014206862
  > d_y2_d_x1 -0.002813578 0.011445332 -0.006468166 0.005122685 -0.020284870
  > d_y3_d_x1 -0.001572159 -0.006468166 0.021217346 0.002631792 0.008918785
  > d_y1_d_x2 -0.031743940 0.005122685 0.002631792 0.050169955 -0.024127042
  > d_y2_d_x2 0.014206862 -0.020284870 0.008918785 -0.024127042 0.046770483
  > d_y3_d_x2 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
  767,772c769,774
  < d_y1_d_x1 -0.046028998
  < d_y2_d_x1 -0.001776241
  < d_y3_d_x1 -0.073129787
  < d_y1_d_x2 0.050012024
  < d_y2_d_x2 0.007208823
  < d_y3_d_x2 0.103938790
  ---
  > d_y1_d_x1 0.002395896
  > d_y2_d_x1 0.003782239
  > d_y3_d_x1 -0.015842908
  > d_y1_d_x2 -0.003698285
  > d_y2_d_x2 -0.004816119
  > d_y3_d_x2 0.019248488
  777,781c779,783
  < 1 -0.26992321 0 0 0.16316504 0 0
  < 2 -0.24597572 0 0 0.20022613 0 0
  < 3 -0.24426238 0 0 0.08037924 0 0
  < 4 -0.09308628 0 0 0.20629067 0 0
  < 5 -0.21941621 0 0 0.06122299 0 0
  ---
  > 1 -0.2388744 0 0 0.10904915 0 0
  > 2 -0.2499983 0 0 0.22038073 0 0
  > 3 -0.2493160 0 0 0.17333744 0 0
  > 4 0.1599499 0 0 0.06061104 0 0
  > 5 -0.2320732 0 0 0.13187340 0 0
  786,790c788,792
  < 1 0.07332362 0 0 0.00000000 0 0
  < 2 0.04538516 0 0 0.00000000 0 0
  < 3 0.04422160 0 0 0.08037924 0 0
  < 4 0.27238758 0 0 0.20629067 0 0
  < 5 0.03131252 0 0 0.06122299 0 0
  ---
  > 1 0.14810593 0 0 0.00000000 0 0
  > 2 0.08938182 0 0 0.00000000 0 0
  > 3 0.08687644 0 0 0.17333744 0 0
  > 4 0.39537857 0 0 0.06061104 0 0
  > 5 0.05902308 0 0 0.13187340 0 0
  795,799c797,801
  < 1 -0.068376545 0 0 0.38454346 0 0
  < 2 0.007021809 0 0 0.28568139 0 0
  < 3 0.010471640 0 0 0.04075615 0 0
  < 4 -0.127398099 0 0 0.55482194 0 0
  < 5 0.049537813 0 0 0.01745071 0 0
  ---
  > 1 -0.06051131 0 0 0.41462304 0 0
  > 2 0.00713664 0 0 0.33316686 0 0
  > 3 0.01068829 0 0 0.07939516 0 0
  > 4 0.21890784 0 0 0.47817985 0 0
  > 5 0.05239540 0 0 0.02922476 0 0
  804,808c806,810
  < 1 0 0.190946724 0 0 -0.3694240 0
  < 2 0 0.095155281 0 0 -0.3617387 0
  < 3 0 0.088457124 0 0 0.1153677 0
  < 4 0 0.043002797 0 0 -0.1563394 0
  < 5 0 -0.004677173 0 0 0.2697802 0
  ---
  > 1 0 0.11228991 0 0 -0.3723514 0
  > 2 0 -0.04471821 0 0 -0.2344970 0
  > 3 0 -0.05278442 0 0 0.3373956 0
  > 4 0 0.10632658 0 0 -0.2927056 0
  > 5 0 -0.14586693 0 0 0.3809701 0
  813,817c815,819
  < 1 0 0.38286918 0 0 0.0000000 0
  < 2 0 0.39375722 0 0 0.0000000 0
  < 3 0 0.39220621 0 0 0.1153677 0
  < 4 0 0.04764478 0 0 -0.1563394 0
  < 5 0 0.35628015 0 0 0.2697802 0
  ---
  > 1 0 0.3905552 0 0 0.0000000 0
  > 2 0 0.3228821 0 0 0.0000000 0
  > 3 0 0.3180941 0 0 0.3375706 0
  > 4 0 0.1196723 0 0 -0.2927275 0
  > 5 0 0.2513296 0 0 0.3809701 0
  822,826c824,828
  < 1 0 0.048370340 0 0 0.09830765 0
  < 2 0 -0.002716375 0 0 0.30884899 0
  < 3 0 -0.003792197 0 0 0.38725936 0
  < 4 0 0.058853726 0 0 -0.16627355 0
  < 5 0 0.001055970 0 0 0.29532783 0
  ---
  > 1 0 0.028445114 0 0 0.1839853 0
  > 2 0 0.001276560 0 0 0.3743377 0
  > 3 0 0.002262892 0 0 0.3035692 0
  > 4 0 0.145518796 0 0 -0.2809522 0
  > 5 0 0.032932520 0 0 0.1654057 0
  831,835c833,837
  < 1 0 0 0.10051369 0 0 -0.3322920
  < 2 0 0 0.02060789 0 0 -0.2071638
  < 3 0 0 0.01594887 0 0 0.1282405
  < 4 0 0 0.05651722 0 0 -0.2042909
  < 5 0 0 -0.04328079 0 0 0.2501766
  ---
  > 1 0 0 0.08932894 0 0 -0.2803831
  > 2 0 0 -0.01722018 0 0 -0.1742430
  > 3 0 0 -0.02279842 0 0 0.2218592
  > 4 0 0 0.13528012 0 0 -0.2837393
  > 5 0 0 -0.09049632 0 0 0.2811522
  840,844c842,846
  < 1 0 0 0.39132229 0 0 0.0000000
  < 2 0 0 0.39033936 0 0 0.0000000
  < 3 0 0 0.38858226 0 0 0.1281606
  < 4 0 0 0.07899395 0 0 -0.2042909
  < 5 0 0 0.35340754 0 0 0.2500968
  ---
  > 1 0 0 0.3957169 0 0 0.0000000
  > 2 0 0 0.3551135 0 0 0.0000000
  > 3 0 0 0.3519786 0 0 0.2217893
  > 4 0 0 0.1764384 0 0 -0.2838791
  > 5 0 0 0.3054330 0 0 0.2811872
  849,853c851,855
  < 1 0 0 0.0254619787 0 0 0.2068578
  < 2 0 0 -0.0005882883 0 0 0.3754772
  < 3 0 0 -0.0006837354 0 0 0.3830760
  < 4 0 0 0.0773495950 0 0 -0.2009485
  < 5 0 0 0.0097715476 0 0 0.2969083
  ---
  > 1 0 0 0.0226286748 0 0 0.2353483
  > 2 0 0 0.0004915802 0 0 0.3773680
  > 3 0 0 0.0009773785 0 0 0.3424694
  > 4 0 0 0.1851446874 0 0 -0.2120425
  > 5 0 0 0.0204314438 0 0 0.2419798
  884,889c886,891
  < d_y1_d_x1 -0.09578174 0.005139274 0.09831238 0.0000000 0.00000000 0.00000000
  < d_y2_d_x1 0.00000000 0.000000000 0.00000000 -0.1971324 0.08632207 0.20234082
  < d_y3_d_x1 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000
  < d_y1_d_x2 0.14516394 0.000000000 -0.04809343 0.0000000 0.00000000 0.00000000
  < d_y2_d_x2 0.00000000 0.000000000 0.00000000 0.3729575 0.00000000 -0.09939672
  < d_y3_d_x2 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.00000000
  ---
  > d_y1_d_x1 -0.08621442 0.006502259 0.08849228 0.0000000 0.00000000 0.0000000
  > d_y2_d_x1 0.00000000 0.000000000 0.00000000 -0.1679077 0.03369144 0.1723439
  > d_y3_d_x1 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000
  > d_y1_d_x2 0.18081872 0.000000000 -0.09292049 0.0000000 0.00000000 0.0000000
  > d_y2_d_x2 0.00000000 0.000000000 0.00000000 0.3711702 0.00000000 -0.1795459
  > d_y3_d_x2 0.00000000 0.000000000 0.00000000 0.0000000 0.00000000 0.0000000
  891,896c893,898
  < d_y1_d_x1 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y2_d_x1 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y3_d_x1 -0.1278046 0.1033959 0.1311813 0 0 0
  < d_y1_d_x2 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y2_d_x2 0.0000000 0.0000000 0.0000000 0 0 0
  < d_y3_d_x2 0.3470552 0.0000000 -0.1251915 0 0 0
  ---
  > d_y1_d_x1 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y2_d_x1 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y3_d_x1 -0.1816930 0.08789435 0.18649349 0 0 0
  > d_y1_d_x2 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y2_d_x2 0.0000000 0.00000000 0.00000000 0 0 0
  > d_y3_d_x2 0.3005902 0.00000000 -0.03897388 0 0 0
  899,1198c901,1200
  < 1: d_y1_d_x1 2.589e-01 2.582e-01 1.003 0.31598
  < 1: d_y2_d_x1 2.739e-01 1.819e-01 1.506 0.13207
  < 1: d_y3_d_x1 -2.089e-01 2.795e-01 -0.748 0.45475
  < 1: d_y1_d_x2 -2.976e-01 2.454e-01 -1.213 0.22527
  < 1: d_y2_d_x2 -3.054e-01 2.124e-01 -1.438 0.15054
  < 1: d_y3_d_x2 4.181e-01 3.423e-01 1.221 0.22194
  < 2: d_y1_d_x1 1.954e-01 2.707e-01 0.722 0.47038
  < 2: d_y2_d_x1 3.410e-01 2.439e-01 1.398 0.16214
  < 2: d_y3_d_x1 -2.344e-01 3.364e-01 -0.697 0.48584
  < 2: d_y1_d_x2 -2.526e-01 1.492e-01 -1.693 0.09047 .
  < 2: d_y2_d_x2 -4.752e-01 2.332e-01 -2.038 0.04155 *
  < 2: d_y3_d_x2 5.315e-01 3.768e-01 1.411 0.15835
  < 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 0.77897
  < 3: d_y2_d_x2 -6.241e-01 2.741e-01 -2.277 0.02278 *
  < 3: d_y3_d_x2 5.586e-01 3.521e-01 1.587 0.11260
  < 4: d_y1_d_x1 4.711e-01 4.663e-01 1.010 0.31239
  < 4: d_y2_d_x1 1.820e-02 4.364e-02 0.417 0.67655
  < 4: d_y3_d_x1 -2.772e-02 8.163e-02 -0.340 0.73413
  < 4: d_y1_d_x2 -2.362e-01 3.917e-01 -0.603 0.54656
  < 4: d_y2_d_x2 -7.582e-02 1.294e-01 -0.586 0.55803
  < 4: d_y3_d_x2 1.136e-01 2.085e-01 0.545 0.58608
  < 5: d_y1_d_x1 1.555e-01 2.742e-01 0.567 0.57055
  < 5: d_y2_d_x1 3.555e-01 2.694e-01 1.320 0.18699
  < 5: d_y3_d_x1 -2.311e-01 3.549e-01 -0.651 0.51487
  < 5: d_y1_d_x2 -2.715e-02 1.116e-01 -0.243 0.80784
  < 5: d_y2_d_x2 -5.670e-01 2.287e-01 -2.479 0.01317 *
  < 5: d_y3_d_x2 5.080e-01 2.977e-01 1.707 0.08785 .
  < 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 0.64423
  < 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 1.066e-02 -0.099 0.92099
  < 7: d_y2_d_x2 -2.271e-02 5.667e-02 -0.401 0.68860
  < 7: d_y3_d_x2 3.264e-02 8.534e-02 0.383 0.70208
  < 8: d_y1_d_x1 3.368e-01 2.715e-01 1.240 0.21482
  < 8: d_y2_d_x1 1.666e-01 1.301e-01 1.281 0.20034
  < 8: d_y3_d_x1 -1.488e-01 2.060e-01 -0.722 0.47013
  < 8: d_y1_d_x2 -3.343e-01 3.505e-01 -0.954 0.34023
  < 8: d_y2_d_x2 -1.405e-01 1.753e-01 -0.801 0.42295
  < 8: d_y3_d_x2 2.556e-01 2.843e-01 0.899 0.36876
  < 9: d_y1_d_x1 2.290e-01 2.637e-01 0.869 0.38509
  < 9: d_y2_d_x1 3.101e-01 2.113e-01 1.467 0.14230
  < 9: d_y3_d_x1 -2.247e-01 3.086e-01 -0.728 0.46656
  < 9: d_y1_d_x2 -2.781e-01 1.980e-01 -1.405 0.16011
  < 9: d_y2_d_x2 -3.836e-01 2.193e-01 -1.749 0.08024 .
  < 9: d_y3_d_x2 4.764e-01 3.627e-01 1.313 0.18903
  < 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 2.317e-01 -1.261 0.20725
  < 10: d_y2_d_x2 -3.276e-01 2.143e-01 -1.528 0.12641
  < 10: d_y3_d_x2 4.357e-01 3.485e-01 1.250 0.21129
  < 11: d_y1_d_x1 2.887e-01 2.569e-01 1.124 0.26116
  < 11: d_y2_d_x1 2.337e-01 1.572e-01 1.487 0.13708
  < 11: d_y3_d_x1 -1.884e-01 2.498e-01 -0.754 0.45079
  < 11: d_y1_d_x2 -7.731e-02 1.996e-01 -0.387 0.69849
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  < 44: d_y2_d_x2 -3.408e-01 1.334e-01 -2.555 0.01063 *
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  < 49: d_y3_d_x1 -2.305e-01 3.552e-01 -0.649 0.51642
  < 49: d_y1_d_x2 -2.663e-02 1.105e-01 -0.241 0.80957
  < 49: d_y2_d_x2 -5.626e-01 2.253e-01 -2.497 0.01252 *
  < 49: d_y3_d_x2 5.044e-01 2.935e-01 1.719 0.08570 .
  < 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 1.965e-01 -0.445 0.65601
  < 50: d_y2_d_x2 -4.511e-01 2.145e-01 -2.103 0.03544 *
  < 50: d_y3_d_x2 3.324e-01 3.224e-01 1.031 0.30257
  ---
  > 1: d_y1_d_x1 0.3229492 0.1969184 1.640 0.10100
  > 1: d_y2_d_x1 0.3836677 0.2615002 1.467 0.14233
  > 1: d_y3_d_x1 -0.3169556 0.2944299 -1.077 0.28170
  > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
  > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
  > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
  > 2: d_y1_d_x1 0.2429446 0.2037656 1.192 0.23315
  > 2: d_y2_d_x1 0.3993798 0.3154487 1.266 0.20549
  > 2: d_y3_d_x1 -0.3301446 0.3079400 -1.072 0.28367
  > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
  > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
  > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
  > 3: d_y1_d_x1 0.2388602 0.2048984 1.166 0.24372
  > 3: d_y2_d_x1 0.3982789 0.3163614 1.259 0.20805
  > 3: d_y3_d_x1 -0.3297836 0.3073036 -1.073 0.28320
  > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
  > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
  > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
  > 4: d_y1_d_x1 0.4010840 0.2737181 1.465 0.14283
  > 4: d_y2_d_x1 0.0557836 0.1120191 0.498 0.61850
  > 4: d_y3_d_x1 -0.0842058 0.1161738 -0.725 0.46856
  > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
  > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
  > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
  > 5: d_y1_d_x1 0.1883227 0.2178782 0.864 0.38740
  > 5: d_y2_d_x1 0.3691077 0.3092617 1.194 0.23267
  > 5: d_y3_d_x1 -0.3165704 0.2885639 -1.097 0.27262
  > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
  > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
  > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
  > 6: d_y1_d_x1 0.3702088 0.2479950 1.493 0.13549
  > 6: d_y2_d_x1 0.0348830 0.0858155 0.406 0.68438
  > 6: d_y3_d_x1 -0.0614131 0.1004444 -0.611 0.54093
  > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
  > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
  > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
  > 7: d_y1_d_x1 0.0103208 0.0578293 0.178 0.85835
  > 7: d_y2_d_x1 0.0220459 0.0389256 0.566 0.57115
  > 7: d_y3_d_x1 -0.0531236 0.0945413 -0.562 0.57418
  > 7: d_y1_d_x2 -0.0011222 0.0100135 -0.112 0.91077
  > 7: d_y2_d_x2 -0.0060669 0.0202419 -0.300 0.76439
  > 7: d_y3_d_x2 0.0283926 0.0809208 0.351 0.72569
  > 8: d_y1_d_x1 0.4007101 0.2513387 1.594 0.11087
  > 8: d_y2_d_x1 0.2907940 0.1839648 1.581 0.11395
  > 8: d_y3_d_x1 -0.2596189 0.2327124 -1.116 0.26458
  > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
  > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
  > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
  > 9: d_y1_d_x1 0.2866645 0.1948097 1.472 0.14115
  > 9: d_y2_d_x1 0.3996281 0.2934836 1.362 0.17330
  > 9: d_y3_d_x1 -0.3277370 0.3066371 -1.069 0.28516
  > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
  > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
  > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
  > 10: d_y1_d_x1 0.3126554 0.1950652 1.603 0.10897
  > 10: d_y2_d_x1 0.3897239 0.2715355 1.435 0.15121
  > 10: d_y3_d_x1 -0.3208544 0.2989128 -1.073 0.28309
  > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
  > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
  > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
  > 11: d_y1_d_x1 0.3559815 0.2109879 1.687 0.09156 .
  > 11: d_y2_d_x1 0.3554683 0.2265475 1.569 0.11663
  > 11: d_y3_d_x1 -0.2994680 0.2745089 -1.091 0.27531
  > 11: d_y1_d_x2 -0.2051033 0.1686940 -1.216 0.22405
  > 11: d_y2_d_x2 -0.6288130 0.2929760 -2.146 0.03185 *
  > 11: d_y3_d_x2 0.5022490 0.2714282 1.850 0.06426 .
  > 12: d_y1_d_x1 0.1219655 0.2167209 0.563 0.57359
  > 12: d_y2_d_x1 0.2849034 0.2455108 1.160 0.24586
  > 12: d_y3_d_x1 -0.2706624 0.2345246 -1.154 0.24846
  > 12: d_y1_d_x2 -0.0345862 0.1169745 -0.296 0.76748
  > 12: d_y2_d_x2 -0.2369272 0.1553557 -1.525 0.12724
  > 12: d_y3_d_x2 0.2806895 0.1495365 1.877 0.06051 .
  > 13: d_y1_d_x1 0.1607955 0.2212149 0.727 0.46730
  > 13: d_y2_d_x1 0.3407304 0.2902802 1.174 0.24048
  > 13: d_y3_d_x1 -0.3019451 0.2699648 -1.118 0.26337
  > 13: d_y1_d_x2 -0.0526364 0.1443091 -0.365 0.71530
  > 13: d_y2_d_x2 -0.3318477 0.1847243 -1.796 0.07242 .
  > 13: d_y3_d_x2 0.3453127 0.1505415 2.294 0.02180 *
  > 14: d_y1_d_x1 0.0425054 0.1438735 0.295 0.76766
  > 14: d_y2_d_x1 0.1103218 0.1084386 1.017 0.30898
  > 14: d_y3_d_x1 -0.1487970 0.1464968 -1.016 0.30977
  > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
  > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
  > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
  > 15: d_y1_d_x1 0.0374443 0.1341184 0.279 0.78010
  > 15: d_y2_d_x1 0.0966391 0.0989303 0.977 0.32865
  > 15: d_y3_d_x1 -0.1367612 0.1410156 -0.970 0.33213
  > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
  > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
  > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
  > 16: d_y1_d_x1 0.3364459 0.2011069 1.673 0.09433 .
  > 16: d_y2_d_x1 0.3738146 0.2475442 1.510 0.13102
  > 16: d_y3_d_x1 -0.3107708 0.2873205 -1.082 0.27942
  > 16: d_y1_d_x2 -0.1830764 0.1737741 -1.054 0.29210
  > 16: d_y2_d_x2 -0.6237778 0.3085691 -2.022 0.04323 *
  > 16: d_y3_d_x2 0.5014677 0.2697076 1.859 0.06298 .
  > 17: d_y1_d_x1 0.3723866 0.2229194 1.670 0.09482 .
  > 17: d_y2_d_x1 0.3359156 0.2092497 1.605 0.10842
  > 17: d_y3_d_x1 -0.2875002 0.2613449 -1.100 0.27130
  > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
  > 17: d_y2_d_x2 -0.6256261 0.2720114 -2.300 0.02145 *
  > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
  > 18: d_y1_d_x1 0.2663399 0.1979782 1.345 0.17853
  > 18: d_y2_d_x1 0.4021326 0.3063279 1.313 0.18927
  > 18: d_y3_d_x1 -0.3302751 0.3090795 -1.069 0.28526
  > 18: d_y1_d_x2 -0.4069299 0.2423963 -1.679 0.09320 .
  > 18: d_y2_d_x2 -0.5455404 0.1716217 -3.179 0.00148 **
  > 18: d_y3_d_x2 0.4490482 0.2163669 2.075 0.03795 *
  > 19: d_y1_d_x1 0.4376430 0.3057075 1.432 0.15227
  > 19: d_y2_d_x1 0.1696360 0.1652745 1.026 0.30471
  > 19: d_y3_d_x1 -0.1789464 0.1684535 -1.062 0.28810
  > 19: d_y1_d_x2 -0.3703732 0.2549995 -1.452 0.14638
  > 19: d_y2_d_x2 -0.4388109 0.1792273 -2.448 0.01435 *
  > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
  > 20: d_y1_d_x1 0.2241586 0.2203192 1.017 0.30895
  > 20: d_y2_d_x1 0.0042037 0.0189008 0.222 0.82400
  > 20: d_y3_d_x1 -0.0149535 0.0440352 -0.340 0.73417
  > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
  > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
  > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
  > 21: d_y1_d_x1 0.1243686 0.2174053 0.572 0.56728
  > 21: d_y2_d_x1 0.2889116 0.2488541 1.161 0.24565
  > 21: d_y3_d_x1 -0.2730094 0.2369908 -1.152 0.24933
  > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
  > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
  > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
  > 22: d_y1_d_x1 0.0007459 0.0072977 0.102 0.91859
  > 22: d_y2_d_x1 0.0006998 0.0029467 0.237 0.81229
  > 22: d_y3_d_x1 -0.0057940 0.0229384 -0.253 0.80058
  > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
  > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
  > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
  > 23: d_y1_d_x1 0.4382229 0.3090674 1.418 0.15622
  > 23: d_y2_d_x1 0.1426446 0.1604881 0.889 0.37410
  > 23: d_y3_d_x1 -0.1589837 0.1565509 -1.016 0.30985
  > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
  > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
  > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
  > 24: d_y1_d_x1 0.0830536 0.1955292 0.425 0.67101
  > 24: d_y2_d_x1 0.2095390 0.1829217 1.146 0.25200
  > 24: d_y3_d_x1 -0.2234026 0.1914376 -1.167 0.24322
  > 24: d_y1_d_x2 -0.1841514 0.2158454 -0.853 0.39357
  > 24: d_y2_d_x2 -0.5029618 0.3122748 -1.611 0.10726
  > 24: d_y3_d_x2 0.4465735 0.2031295 2.198 0.02792 *
  > 25: d_y1_d_x1 0.0865904 0.1983706 0.437 0.66247
  > 25: d_y2_d_x1 0.2172090 0.1891481 1.148 0.25082
  > 25: d_y3_d_x1 -0.2285086 0.1954931 -1.169 0.24245
  > 25: d_y1_d_x2 -0.1901942 0.2126762 -0.894 0.37117
  > 25: d_y2_d_x2 -0.5140301 0.3173040 -1.620 0.10523
  > 25: d_y3_d_x2 0.4522409 0.2089671 2.164 0.03045 *
  > 26: d_y1_d_x1 0.4378383 0.3091474 1.416 0.15669
  > 26: d_y2_d_x1 0.1365703 0.1589866 0.859 0.39034
  > 26: d_y3_d_x1 -0.1543408 0.1539501 -1.003 0.31608
  > 26: d_y1_d_x2 -0.3723857 0.2610610 -1.426 0.15374
  > 26: d_y2_d_x2 -0.0744062 0.1894584 -0.393 0.69452
  > 26: d_y3_d_x2 0.1186028 0.1465188 0.809 0.41824
  > 27: d_y1_d_x1 0.1729600 0.2202574 0.785 0.43230
  > 27: d_y2_d_x1 0.3543882 0.3000078 1.181 0.23750
  > 27: d_y3_d_x1 -0.3091116 0.2788965 -1.108 0.26772
  > 27: d_y1_d_x2 -0.0589571 0.1511973 -0.390 0.69658
  > 27: d_y2_d_x2 -0.3607121 0.1966482 -1.834 0.06661 .
  > 27: d_y3_d_x2 0.3633744 0.1553877 2.339 0.01936 *
  > 28: d_y1_d_x1 0.0257894 0.1073759 0.240 0.81019
  > 28: d_y2_d_x1 0.0644472 0.0761722 0.846 0.39751
  > 28: d_y3_d_x1 -0.1055972 0.1270193 -0.831 0.40578
  > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
  > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
  > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
  > 29: d_y1_d_x1 0.3029664 0.1942862 1.559 0.11891
  > 29: d_y2_d_x1 0.3943070 0.2803474 1.406 0.15958
  > 29: d_y3_d_x1 -0.3239068 0.3023941 -1.071 0.28411
  > 29: d_y1_d_x2 -0.4316377 0.2971846 -1.452 0.14638
  > 29: d_y2_d_x2 -0.4798749 0.1912621 -2.509 0.01211 *
  > 29: d_y3_d_x2 0.4105213 0.1822638 2.252 0.02430 *
  > 30: d_y1_d_x1 0.2118732 0.2124133 0.997 0.31854
  > 30: d_y2_d_x1 0.3863182 0.3169271 1.219 0.22286
  > 30: d_y3_d_x1 -0.3247953 0.2998024 -1.083 0.27865
  > 30: d_y1_d_x2 -0.0814410 0.1691615 -0.481 0.63020
  > 30: d_y2_d_x2 -0.4476780 0.2396874 -1.868 0.06180 .
  > 30: d_y3_d_x2 0.4142648 0.1822614 2.273 0.02303 *
  > 31: d_y1_d_x1 0.2527667 0.2011528 1.257 0.20890
  > 31: d_y2_d_x1 0.4012708 0.3124087 1.284 0.19899
  > 31: d_y3_d_x1 -0.3305991 0.3089367 -1.070 0.28457
  > 31: d_y1_d_x2 -0.1091608 0.1794793 -0.608 0.54305
  > 31: d_y2_d_x2 -0.5263905 0.2833821 -1.858 0.06324 .
  > 31: d_y3_d_x2 0.4562932 0.2183185 2.090 0.03661 *
  > 32: d_y1_d_x1 0.3573774 0.2118731 1.687 0.09165 .
  > 32: d_y2_d_x1 0.3539601 0.2250456 1.573 0.11576
  > 32: d_y3_d_x1 -0.2985441 0.2734764 -1.092 0.27498
  > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
  > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
  > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
  > 33: d_y1_d_x1 0.1516903 0.2212870 0.685 0.49303
  > 33: d_y2_d_x1 0.3293285 0.2816236 1.169 0.24225
  > 33: d_y3_d_x1 -0.2958065 0.2625654 -1.127 0.25991
  > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
  > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
  > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
  > 34: d_y1_d_x1 0.4109694 0.2640717 1.556 0.11964
  > 34: d_y2_d_x1 0.2693770 0.1773855 1.519 0.12886
  > 34: d_y3_d_x1 -0.2461064 0.2199809 -1.119 0.26324
  > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
  > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
  > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
  > 35: d_y1_d_x1 0.1897255 0.2176062 0.872 0.38328
  > 35: d_y2_d_x1 0.3703130 0.3099381 1.195 0.23217
  > 35: d_y3_d_x1 -0.3171667 0.2893553 -1.096 0.27303
  > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
  > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
  > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
  > 36: d_y1_d_x1 0.3438410 0.2043023 1.683 0.09237 .
  > 36: d_y2_d_x1 0.3674585 0.2396459 1.533 0.12519
  > 36: d_y3_d_x1 -0.3068357 0.2828260 -1.085 0.27797
  > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
  > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
  > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
  > 37: d_y1_d_x1 0.4348121 0.3071966 1.415 0.15695
  > 37: d_y2_d_x1 0.1159358 0.1523350 0.761 0.44662
  > 37: d_y3_d_x1 -0.1380751 0.1452016 -0.951 0.34164
  > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
  > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
  > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
  > 38: d_y1_d_x1 0.3693685 0.2204735 1.675 0.09387 .
  > 38: d_y2_d_x1 0.3398245 0.2123516 1.600 0.10953
  > 38: d_y3_d_x1 -0.2898933 0.2639391 -1.098 0.27206
  > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
  > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
  > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
  > 39: d_y1_d_x1 0.1625955 0.2211322 0.735 0.46217
  > 39: d_y2_d_x1 0.3428643 0.2918528 1.175 0.24008
  > 39: d_y3_d_x1 -0.3030787 0.2713560 -1.117 0.26404
  > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
  > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
  > 39: d_y3_d_x2 0.5024991 0.2713680 1.852 0.06407 .
  > 40: d_y1_d_x1 0.4310083 0.3036672 1.419 0.15580
  > 40: d_y2_d_x1 0.1021310 0.1462658 0.698 0.48502
  > 40: d_y3_d_x1 -0.1266963 0.1392940 -0.910 0.36305
  > 40: d_y1_d_x2 -0.3371781 0.2125041 -1.587 0.11258
  > 40: d_y2_d_x2 -0.0488786 0.1471075 -0.332 0.73969
  > 40: d_y3_d_x2 0.0900131 0.1364710 0.660 0.50953
  > 41: d_y1_d_x1 0.4383603 0.3088804 1.419 0.15584
  > 41: d_y2_d_x1 0.1464601 0.1613405 0.908 0.36400
  > 41: d_y3_d_x1 -0.1618696 0.1581962 -1.023 0.30620
  > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
  > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
  > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
  > 42: d_y1_d_x1 0.3938190 0.2435193 1.617 0.10584
  > 42: d_y2_d_x1 0.3033933 0.1892822 1.603 0.10897
  > 42: d_y3_d_x1 -0.2674705 0.2404638 -1.112 0.26600
  > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
  > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
  > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
  > 43: d_y1_d_x1 0.3189542 0.1960673 1.627 0.10379
  > 43: d_y2_d_x1 0.3861652 0.2654683 1.455 0.14576
  > 43: d_y3_d_x1 -0.3185505 0.2962658 -1.075 0.28228
  > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
  > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
  > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
  > 44: d_y1_d_x1 0.0971787 0.2056705 0.472 0.63657
  > 44: d_y2_d_x1 0.2391890 0.2072537 1.154 0.24846
  > 44: d_y3_d_x1 -0.2427451 0.2075624 -1.170 0.24220
  > 44: d_y1_d_x2 -0.0247164 0.0967978 -0.255 0.79846
  > 44: d_y2_d_x2 -0.1761939 0.1405686 -1.253 0.21005
  > 44: d_y3_d_x2 0.2336972 0.1572143 1.486 0.13715
  > 45: d_y1_d_x1 0.4025241 0.2750818 1.463 0.14339
  > 45: d_y2_d_x1 0.0571279 0.1134119 0.504 0.61446
  > 45: d_y3_d_x1 -0.0855674 0.1170016 -0.731 0.46457
  > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
  > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
  > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
  > 46: d_y1_d_x1 0.1023270 0.2086179 0.490 0.62378
  > 46: d_y2_d_x1 0.2493443 0.2157179 1.156 0.24773
  > 46: d_y3_d_x1 -0.2491363 0.2133487 -1.168 0.24291
  > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
  > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
  > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
  > 47: d_y1_d_x1 0.1866549 0.2239000 0.834 0.40448
  > 47: d_y2_d_x1 0.0021906 0.0112184 0.195 0.84518
  > 47: d_y3_d_x1 -0.0097002 0.0326790 -0.297 0.76660
  > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
  > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
  > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
  > 48: d_y1_d_x1 0.3664196 0.2453495 1.493 0.13532
  > 48: d_y2_d_x1 0.0330393 0.0830093 0.398 0.69062
  > 48: d_y3_d_x1 -0.0592154 0.0986854 -0.600 0.54848
  > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
  > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
  > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
  > 49: d_y1_d_x1 0.1856984 0.2183644 0.850 0.39510
  > 49: d_y2_d_x1 0.3667908 0.3079205 1.191 0.23358
  > 49: d_y3_d_x1 -0.3154174 0.2870419 -1.099 0.27183
  > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
  > 49: d_y2_d_x2 -0.3901922 0.2099946 -1.858 0.06315 .
  > 49: d_y3_d_x2 0.3811881 0.1625644 2.345 0.01904 *
  > 50: d_y1_d_x1 0.0417272 0.1424363 0.293 0.76956
  > 50: d_y2_d_x1 0.1082331 0.1069829 1.012 0.31169
  > 50: d_y3_d_x1 -0.1469973 0.1456618 -1.009 0.31289
  > 50: d_y1_d_x2 -0.1058940 0.2239865 -0.473 0.63638
  > 50: d_y2_d_x2 -0.3177685 0.2162648 -1.469 0.14174
  > 50: d_y3_d_x2 0.3395679 0.1387389 2.448 0.01438 *
  1211,1510c1213,1512
  < 1: d_y1_d_x1 4.436e-01 5.798e-01 0.765 0.44427
  < 1: d_y2_d_x1 1.771e-01 8.113e-02 2.183 0.02901 *
  < 1: d_y3_d_x1 -1.741e-01 1.680e-01 -1.037 0.29989
  < 1: d_y1_d_x2 -2.976e-01 2.454e-01 -1.213 0.22527
  < 1: d_y2_d_x2 -3.054e-01 2.124e-01 -1.438 0.15054
  < 1: d_y3_d_x2 4.181e-01 3.423e-01 1.221 0.22194
  < 2: d_y1_d_x1 3.765e-01 5.389e-01 0.699 0.48476
  < 2: d_y2_d_x1 2.756e-01 1.234e-01 2.233 0.02556 *
  < 2: d_y3_d_x1 -2.214e-01 2.670e-01 -0.829 0.40709
  < 2: d_y1_d_x2 -2.526e-01 1.492e-01 -1.693 0.09047 .
  < 2: d_y2_d_x2 -4.752e-01 2.332e-01 -2.038 0.04155 *
  < 2: d_y3_d_x2 5.315e-01 3.768e-01 1.411 0.15835
  < 3: d_y1_d_x1 5.714e-02 1.883e-01 0.304 0.76147
  < 3: d_y2_d_x1 3.620e-01 2.814e-01 1.287 0.19826
  < 3: d_y3_d_x1 -2.327e-01 3.461e-01 -0.672 0.50141
  < 3: d_y1_d_x2 -3.834e-02 1.366e-01 -0.281 0.77897
  < 3: d_y2_d_x2 -6.241e-01 2.741e-01 -2.277 0.02278 *
  < 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 0.07991 .
  < 4: d_y2_d_x1 4.397e-02 9.395e-02 0.468 0.63976
  < 4: d_y3_d_x1 -4.730e-02 1.441e-01 -0.328 0.74272
  < 4: d_y1_d_x2 -2.362e-01 3.917e-01 -0.603 0.54656
  < 4: d_y2_d_x2 -7.582e-02 1.294e-01 -0.586 0.55803
  < 4: d_y3_d_x2 1.136e-01 2.085e-01 0.545 0.58608
  < 5: d_y1_d_x1 4.046e-02 1.594e-01 0.254 0.79956
  < 5: d_y2_d_x1 3.288e-01 2.330e-01 1.411 0.15820
  < 5: d_y3_d_x1 -2.116e-01 3.124e-01 -0.677 0.49817
  < 5: d_y1_d_x2 -2.715e-02 1.116e-01 -0.243 0.80784
  < 5: d_y2_d_x2 -5.670e-01 2.287e-01 -2.479 0.01317 *
  < 5: d_y3_d_x2 5.080e-01 2.977e-01 1.707 0.08785 .
  < 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 0.69577
  < 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 0.64423
  < 6: d_y3_d_x2 7.573e-02 1.793e-01 0.422 0.67268
  < 7: d_y1_d_x1 1.576e-03 1.621e-02 0.097 0.92256
  < 7: d_y2_d_x1 1.317e-02 3.397e-02 0.388 0.69820
  < 7: d_y3_d_x1 -1.360e-02 4.823e-02 -0.282 0.77802
  < 7: d_y1_d_x2 -1.057e-03 1.066e-02 -0.099 0.92099
  < 7: d_y2_d_x2 -2.271e-02 5.667e-02 -0.401 0.68860
  < 7: d_y3_d_x2 3.264e-02 8.534e-02 0.383 0.70208
  < 8: d_y1_d_x1 4.982e-01 6.296e-01 0.791 0.42875
  < 8: d_y2_d_x1 8.146e-02 8.426e-02 0.967 0.33365
  < 8: d_y3_d_x1 -1.065e-01 1.101e-01 -0.967 0.33377
  < 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 0.42295
  < 8: d_y3_d_x2 2.556e-01 2.843e-01 0.899 0.36876
  < 9: d_y1_d_x1 4.145e-01 5.591e-01 0.741 0.45853
  < 9: d_y2_d_x1 2.225e-01 8.734e-02 2.547 0.01085 *
  < 9: d_y3_d_x1 -1.984e-01 2.101e-01 -0.945 0.34490
  < 9: d_y1_d_x2 -2.781e-01 1.980e-01 -1.405 0.16011
  < 9: d_y2_d_x2 -3.836e-01 2.193e-01 -1.749 0.08024 .
  < 9: d_y3_d_x2 4.764e-01 3.627e-01 1.313 0.18903
  < 10: d_y1_d_x1 4.355e-01 5.736e-01 0.759 0.44770
  < 10: d_y2_d_x1 1.900e-01 8.112e-02 2.342 0.01916 *
  < 10: d_y3_d_x1 -1.815e-01 1.792e-01 -1.013 0.31119
  < 10: d_y1_d_x2 -2.922e-01 2.317e-01 -1.261 0.20725
  < 10: d_y2_d_x2 -3.276e-01 2.143e-01 -1.528 0.12641
  < 10: d_y3_d_x2 4.357e-01 3.485e-01 1.250 0.21129
  < 11: d_y1_d_x1 1.152e-01 2.337e-01 0.493 0.62193
  < 11: d_y2_d_x1 3.269e-01 2.882e-01 1.134 0.25665
  < 11: d_y3_d_x1 -2.224e-01 3.501e-01 -0.635 0.52524
  < 11: d_y1_d_x2 -7.731e-02 1.996e-01 -0.387 0.69849
  < 11: d_y2_d_x2 -5.636e-01 1.967e-01 -2.865 0.00417 **
  < 11: d_y3_d_x2 5.340e-01 2.546e-01 2.097 0.03600 *
  < 12: d_y1_d_x1 2.289e-02 1.148e-01 0.199 0.84196
  < 12: d_y2_d_x1 2.421e-01 1.507e-01 1.607 0.10813
  < 12: d_y3_d_x1 -1.608e-01 2.439e-01 -0.659 0.50971
  < 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 -2.913 0.00358 **
  < 12: d_y3_d_x2 3.860e-01 1.701e-01 2.270 0.02323 *
  < 13: d_y1_d_x1 3.265e-02 1.415e-01 0.231 0.81750
  < 13: d_y2_d_x1 2.987e-01 1.991e-01 1.501 0.13341
  < 13: d_y3_d_x1 -1.938e-01 2.869e-01 -0.675 0.49941
  < 13: d_y1_d_x2 -2.191e-02 9.768e-02 -0.224 0.82254
  < 13: d_y2_d_x2 -5.151e-01 1.908e-01 -2.700 0.00693 **
  < 13: d_y3_d_x2 4.653e-01 2.485e-01 1.873 0.06113 .
  < 14: d_y1_d_x1 6.776e-03 5.000e-02 0.136 0.89221
  < 14: d_y2_d_x1 8.142e-02 9.063e-02 0.898 0.36897
  < 14: d_y3_d_x1 -6.307e-02 1.302e-01 -0.484 0.62822
  < 14: d_y1_d_x2 -4.546e-03 3.308e-02 -0.137 0.89068
  < 14: d_y2_d_x2 -1.404e-01 1.387e-01 -1.012 0.31146
  < 14: d_y3_d_x2 1.514e-01 1.419e-01 1.067 0.28599
  < 15: d_y1_d_x1 1.221e-01 4.168e-01 0.293 0.76958
  < 15: d_y2_d_x1 2.458e-01 3.017e-01 0.815 0.41516
  < 15: d_y3_d_x1 -1.290e-01 3.474e-01 -0.371 0.71033
  < 15: d_y1_d_x2 -8.192e-02 1.958e-01 -0.418 0.67564
  < 15: d_y2_d_x2 -4.238e-01 2.160e-01 -1.963 0.04970 *
  < 15: d_y3_d_x2 3.098e-01 3.289e-01 0.942 0.34627
  < 16: d_y1_d_x1 1.026e-01 2.289e-01 0.448 0.65418
  < 16: d_y2_d_x1 3.443e-01 2.976e-01 1.157 0.24735
  < 16: d_y3_d_x1 -2.304e-01 3.571e-01 -0.645 0.51878
  < 16: d_y1_d_x2 -6.881e-02 1.876e-01 -0.367 0.71382
  < 16: d_y2_d_x2 -5.936e-01 2.252e-01 -2.636 0.00839 **
  < 16: d_y3_d_x2 5.532e-01 2.928e-01 1.889 0.05887 .
  < 17: d_y1_d_x1 1.275e-01 2.361e-01 0.540 0.58916
  < 17: d_y2_d_x1 3.081e-01 2.772e-01 1.112 0.26627
  < 17: d_y3_d_x1 -2.132e-01 3.415e-01 -0.624 0.53235
  < 17: d_y1_d_x2 -8.554e-02 2.104e-01 -0.407 0.68433
  < 17: d_y2_d_x2 -5.312e-01 1.713e-01 -3.100 0.00193 **
  < 17: d_y3_d_x2 5.119e-01 2.170e-01 2.359 0.01832 *
  < 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 0.01350 *
  < 18: d_y3_d_x1 -2.100e-01 2.360e-01 -0.890 0.37346
  < 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 0.05725 .
  < 18: d_y3_d_x2 5.043e-01 3.714e-01 1.358 0.17457
  < 19: d_y1_d_x1 2.329e-01 2.056e-01 1.133 0.25726
  < 19: d_y2_d_x1 1.478e-01 1.838e-01 0.804 0.42131
  < 19: d_y3_d_x1 -1.222e-01 2.492e-01 -0.490 0.62398
  < 19: d_y1_d_x2 -1.563e-01 2.952e-01 -0.529 0.59650
  < 19: d_y2_d_x2 -2.548e-01 1.649e-01 -1.545 0.12226
  < 19: d_y3_d_x2 2.933e-01 1.768e-01 1.659 0.09709 .
  < 20: d_y1_d_x1 3.097e-01 4.173e-01 0.742 0.45799
  < 20: d_y2_d_x1 9.351e-05 6.448e-04 0.145 0.88469
  < 20: d_y3_d_x1 -7.945e-04 5.177e-03 -0.153 0.87803
  < 20: d_y1_d_x2 -2.078e-01 1.185e-01 -1.753 0.07958 .
  < 20: d_y2_d_x2 -1.612e-04 1.119e-03 -0.144 0.88544
  < 20: d_y3_d_x2 1.908e-03 1.201e-02 0.159 0.87382
  < 21: d_y1_d_x1 2.528e-01 5.038e-01 0.502 0.61584
  < 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 -1.168 0.24288
  < 21: d_y2_d_x2 -6.346e-01 2.792e-01 -2.273 0.02300 *
  < 21: d_y3_d_x2 5.522e-01 3.047e-01 1.813 0.06989 .
  < 22: d_y1_d_x1 1.111e-02 9.608e-02 0.116 0.90792
  < 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 0.88930
  < 22: d_y1_d_x2 -7.457e-03 5.787e-02 -0.129 0.89748
  < 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 0.86390
  < 23: d_y1_d_x1 5.127e-01 6.232e-01 0.823 0.41068
  < 23: d_y2_d_x1 2.032e-02 4.526e-02 0.449 0.65344
  < 23: d_y3_d_x1 -4.105e-02 7.908e-02 -0.519 0.60371
  < 23: d_y1_d_x2 -3.440e-01 3.852e-01 -0.893 0.37175
  < 23: d_y2_d_x2 -3.504e-02 8.308e-02 -0.422 0.67322
  < 23: d_y3_d_x2 9.855e-02 1.928e-01 0.511 0.60919
  < 24: d_y1_d_x1 1.981e-01 4.828e-01 0.410 0.68151
  < 24: d_y2_d_x1 3.496e-01 3.308e-01 1.057 0.29061
  < 24: d_y3_d_x1 -2.009e-01 4.110e-01 -0.489 0.62495
  < 24: d_y1_d_x2 -1.329e-01 1.776e-01 -0.748 0.45417
  < 24: d_y2_d_x2 -6.028e-01 2.493e-01 -2.418 0.01562 *
  < 24: d_y3_d_x2 4.823e-01 2.757e-01 1.749 0.08021 .
  < 25: d_y1_d_x1 2.032e-01 4.854e-01 0.419 0.67548
  < 25: d_y2_d_x1 3.532e-01 3.293e-01 1.073 0.28347
  < 25: d_y3_d_x1 -2.044e-01 4.118e-01 -0.496 0.61957
  < 25: d_y1_d_x2 -1.363e-01 1.750e-01 -0.779 0.43592
  < 25: d_y2_d_x2 -6.090e-01 2.534e-01 -2.404 0.01622 *
  < 25: d_y3_d_x2 4.908e-01 2.758e-01 1.780 0.07516 .
  < 26: d_y1_d_x1 5.118e-01 6.202e-01 0.825 0.40930
  < 26: d_y2_d_x1 1.882e-02 4.319e-02 0.436 0.66295
  < 26: d_y3_d_x1 -3.889e-02 7.717e-02 -0.504 0.61427
  < 26: d_y1_d_x2 -3.434e-01 3.834e-01 -0.896 0.37042
  < 26: d_y2_d_x2 -3.246e-02 7.905e-02 -0.411 0.68138
  < 26: d_y3_d_x2 9.337e-02 1.875e-01 0.498 0.61843
  < 27: d_y1_d_x1 3.601e-02 1.497e-01 0.240 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 0.49845
  < 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 2.715e-01 1.788 0.07370 .
  < 28: d_y1_d_x1 3.983e-03 3.340e-02 0.119 0.90509
  < 28: d_y2_d_x1 4.422e-02 6.994e-02 0.632 0.52726
  < 28: d_y3_d_x1 -3.763e-02 9.481e-02 -0.397 0.69147
  < 28: d_y1_d_x2 -2.673e-03 2.200e-02 -0.121 0.90333
  < 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 0.49907
  < 29: d_y1_d_x1 4.278e-01 5.681e-01 0.753 0.45141
  < 29: d_y2_d_x1 2.021e-01 8.223e-02 2.458 0.01397 *
  < 29: d_y3_d_x1 -1.881e-01 1.903e-01 -0.988 0.32310
  < 29: d_y1_d_x2 -2.870e-01 2.189e-01 -1.311 0.18978
  < 29: d_y2_d_x2 -3.485e-01 2.161e-01 -1.613 0.10685
  < 29: d_y3_d_x2 4.515e-01 3.542e-01 1.275 0.20236
  < 30: d_y1_d_x1 4.782e-02 1.732e-01 0.276 0.78245
  < 30: d_y2_d_x1 3.478e-01 2.584e-01 1.346 0.17824
  < 30: d_y3_d_x1 -2.233e-01 3.303e-01 -0.676 0.49907
  < 30: d_y1_d_x2 -3.209e-02 1.232e-01 -0.261 0.79446
  < 30: d_y2_d_x2 -5.997e-01 2.549e-01 -2.353 0.01865 *
  < 30: d_y3_d_x2 5.361e-01 3.296e-01 1.626 0.10385
  < 31: d_y1_d_x1 6.237e-02 1.954e-01 0.319 0.74954
  < 31: d_y2_d_x1 3.661e-01 2.903e-01 1.261 0.20724
  < 31: d_y3_d_x1 -2.359e-01 3.521e-01 -0.670 0.50299
  < 31: d_y1_d_x2 -4.185e-02 1.435e-01 -0.292 0.77058
  < 31: d_y2_d_x2 -6.312e-01 2.785e-01 -2.267 0.02341 *
  < 31: d_y3_d_x2 5.663e-01 3.573e-01 1.585 0.11298
  < 32: d_y1_d_x1 4.692e-01 6.020e-01 0.779 0.43571
  < 32: d_y2_d_x1 1.344e-01 8.519e-02 1.578 0.11465
  < 32: d_y3_d_x1 -1.471e-01 1.361e-01 -1.081 0.27989
  < 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 0.25408
  < 32: d_y3_d_x2 3.531e-01 3.192e-01 1.106 0.26860
  < 33: d_y1_d_x1 3.024e-02 1.354e-01 0.223 0.82334
  < 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 9.307e-02 -0.218 0.82744
  < 33: d_y2_d_x2 -4.947e-01 1.780e-01 -2.780 0.00544 **
  < 33: d_y3_d_x2 4.487e-01 2.303e-01 1.949 0.05135 .
  < 34: d_y1_d_x1 1.670e-01 2.326e-01 0.718 0.47290
  < 34: d_y2_d_x1 2.436e-01 2.392e-01 1.018 0.30858
  < 34: d_y3_d_x1 -1.792e-01 3.082e-01 -0.581 0.56111
  < 34: d_y1_d_x2 -1.120e-01 2.429e-01 -0.461 0.64466
  < 34: d_y2_d_x2 -4.200e-01 1.336e-01 -3.144 0.00166 **
  < 34: d_y3_d_x2 4.301e-01 1.310e-01 3.283 0.00103 **
  < 35: d_y1_d_x1 4.088e-02 1.604e-01 0.255 0.79886
  < 35: d_y2_d_x1 3.301e-01 2.347e-01 1.407 0.15946
  < 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 2.307e-01 0.464 0.64241
  < 36: d_y2_d_x1 3.383e-01 2.945e-01 1.149 0.25070
  < 36: d_y3_d_x1 -2.277e-01 3.547e-01 -0.642 0.52090
  < 36: d_y1_d_x2 -7.189e-02 1.919e-01 -0.375 0.70800
  < 36: d_y2_d_x2 -5.833e-01 2.149e-01 -2.714 0.00664 **
  < 36: d_y3_d_x2 5.467e-01 2.793e-01 1.957 0.05030 .
  < 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 0.51128
  < 37: d_y3_d_x1 -8.853e-02 2.087e-01 -0.424 0.67141
  < 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 0.31731
  < 37: d_y3_d_x2 2.125e-01 2.150e-01 0.988 0.32298
  < 38: d_y1_d_x1 4.776e-01 6.099e-01 0.783 0.43351
  < 38: d_y2_d_x1 1.197e-01 8.634e-02 1.386 0.16568
  < 38: d_y3_d_x1 -1.367e-01 1.274e-01 -1.073 0.28327
  < 38: d_y1_d_x2 -3.205e-01 3.086e-01 -1.039 0.29902
  < 38: d_y2_d_x2 -2.064e-01 1.979e-01 -1.043 0.29713
  < 38: d_y3_d_x2 3.282e-01 3.105e-01 1.057 0.29055
  < 39: d_y1_d_x1 2.969e-01 5.146e-01 0.577 0.56403
  < 39: d_y2_d_x1 3.532e-01 2.403e-01 1.470 0.14161
  < 39: d_y3_d_x1 -2.387e-01 3.676e-01 -0.649 0.51609
  < 39: d_y1_d_x2 -1.992e-01 1.224e-01 -1.627 0.10376
  < 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 0.39968
  < 40: d_y2_d_x1 1.145e-02 3.120e-02 0.367 0.71372
  < 40: d_y3_d_x1 -2.732e-02 6.498e-02 -0.420 0.67420
  < 40: d_y1_d_x2 -3.370e-01 3.655e-01 -0.922 0.35651
  < 40: d_y2_d_x2 -1.974e-02 5.626e-02 -0.351 0.72575
  < 40: d_y3_d_x2 6.559e-02 1.551e-01 0.423 0.67249
  < 41: d_y1_d_x1 5.133e-01 6.250e-01 0.821 0.41150
  < 41: d_y2_d_x1 2.129e-02 4.656e-02 0.457 0.64749
  < 41: d_y3_d_x1 -4.242e-02 8.015e-02 -0.529 0.59663
  < 41: d_y1_d_x2 -3.444e-01 3.862e-01 -0.892 0.37246
  < 41: d_y2_d_x2 -3.671e-02 8.563e-02 -0.429 0.66815
  < 41: d_y3_d_x2 1.018e-01 1.959e-01 0.520 0.60316
  < 42: d_y1_d_x1 4.939e-01 6.255e-01 0.790 0.42975
  < 42: d_y2_d_x1 8.989e-02 8.560e-02 1.050 0.29368
  < 42: d_y3_d_x1 -1.136e-01 1.133e-01 -1.002 0.31629
  < 42: d_y1_d_x2 -3.314e-01 3.415e-01 -0.970 0.33186
  < 42: d_y2_d_x2 -1.550e-01 1.817e-01 -0.853 0.39366
  < 42: d_y3_d_x2 2.727e-01 2.907e-01 0.938 0.34817
  < 43: d_y1_d_x1 4.405e-01 5.774e-01 0.763 0.44558
  < 43: d_y2_d_x1 1.821e-01 8.100e-02 2.249 0.02454 *
  < 43: d_y3_d_x1 -1.770e-01 1.722e-01 -1.028 0.30405
  < 43: d_y1_d_x2 -2.955e-01 2.400e-01 -1.231 0.21823
  < 43: d_y2_d_x2 -3.140e-01 2.132e-01 -1.473 0.14080
  < 43: d_y3_d_x2 4.250e-01 3.447e-01 1.233 0.21766
  < 44: d_y1_d_x1 1.734e-02 9.605e-02 0.181 0.85674
  < 44: d_y2_d_x1 1.976e-01 1.260e-01 1.569 0.11661
  < 44: d_y3_d_x1 -1.347e-01 2.127e-01 -0.633 0.52662
  < 44: d_y1_d_x2 -1.163e-02 6.456e-02 -0.180 0.85699
  < 44: d_y2_d_x2 -3.408e-01 1.334e-01 -2.555 0.01063 *
  < 44: d_y3_d_x2 3.234e-01 1.327e-01 2.437 0.01482 *
  < 45: d_y1_d_x1 3.499e-01 1.994e-01 1.755 0.07926 .
  < 45: d_y2_d_x1 4.513e-02 9.547e-02 0.473 0.63641
  < 45: d_y3_d_x1 -4.828e-02 1.459e-01 -0.331 0.74070
  < 45: d_y1_d_x2 -2.348e-01 3.901e-01 -0.602 0.54733
  < 45: d_y2_d_x2 -7.782e-02 1.310e-01 -0.594 0.55255
  < 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 4.169e-01 0.654 0.51298
  < 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 0.14645
  < 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 2.883e-02 -0.258 0.79650
  < 48: d_y1_d_x2 -2.956e-01 2.530e-01 -1.168 0.24278
  < 48: d_y2_d_x2 -3.276e-03 1.431e-02 -0.229 0.81889
  < 48: d_y3_d_x2 1.785e-02 6.719e-02 0.266 0.79048
  < 49: d_y1_d_x1 3.968e-02 1.580e-01 0.251 0.80166
  < 49: d_y2_d_x1 3.263e-01 2.300e-01 1.419 0.15588
  < 49: d_y3_d_x1 -2.101e-01 3.102e-01 -0.677 0.49812
  < 49: d_y1_d_x2 -2.663e-02 1.105e-01 -0.241 0.80957
  < 49: d_y2_d_x2 -5.626e-01 2.253e-01 -2.497 0.01252 *
  < 49: d_y3_d_x2 5.044e-01 2.935e-01 1.719 0.08570 .
  < 50: d_y1_d_x1 1.304e-01 4.274e-01 0.305 0.76029
  < 50: d_y2_d_x1 2.616e-01 3.098e-01 0.844 0.39849
  < 50: d_y3_d_x1 -1.384e-01 3.597e-01 -0.385 0.70033
  < 50: d_y1_d_x2 -8.750e-02 1.965e-01 -0.445 0.65601
  < 50: d_y2_d_x2 -4.511e-01 2.145e-01 -2.103 0.03544 *
  < 50: d_y3_d_x2 3.324e-01 3.224e-01 1.031 0.30257
  ---
  > 1: d_y1_d_x1 0.4492866 0.3540597 1.269 0.20446
  > 1: d_y2_d_x1 0.2935576 0.1311406 2.238 0.02519 *
  > 1: d_y3_d_x1 -0.2616568 0.1797334 -1.456 0.14545
  > 1: d_y1_d_x2 -0.4419799 0.3243219 -1.363 0.17295
  > 1: d_y2_d_x2 -0.4386127 0.2158525 -2.032 0.04215 *
  > 1: d_y3_d_x2 0.3859215 0.1649659 2.339 0.01931 *
  > 2: d_y1_d_x1 0.3940224 0.3132860 1.258 0.20850
  > 2: d_y2_d_x1 0.3878021 0.2306484 1.681 0.09269 .
  > 2: d_y3_d_x1 -0.3179747 0.2736354 -1.162 0.24522
  > 2: d_y1_d_x2 -0.3876145 0.2066706 -1.876 0.06072 .
  > 2: d_y2_d_x2 -0.5794260 0.1858844 -3.117 0.00183 **
  > 2: d_y3_d_x2 0.4689856 0.2366896 1.981 0.04754 *
  > 3: d_y1_d_x1 0.1008641 0.1922854 0.525 0.59989
  > 3: d_y2_d_x1 0.3355752 0.2466029 1.361 0.17358
  > 3: d_y3_d_x1 -0.3005914 0.2316189 -1.298 0.19436
  > 3: d_y1_d_x2 -0.0992237 0.1772196 -0.560 0.57555
  > 3: d_y2_d_x2 -0.5013924 0.2694319 -1.861 0.06275 .
  > 3: d_y3_d_x2 0.4433467 0.2060266 2.152 0.03141 *
  > 4: d_y1_d_x1 0.4590369 0.3460873 1.326 0.18472
  > 4: d_y2_d_x1 0.1262490 0.1951262 0.647 0.51762
  > 4: d_y3_d_x1 -0.1506792 0.2145244 -0.702 0.48244
  > 4: d_y1_d_x2 -0.4515717 0.3743460 -1.206 0.22770
  > 4: d_y2_d_x2 -0.1886323 0.2443387 -0.772 0.44011
  > 4: d_y3_d_x2 0.2222390 0.1546330 1.437 0.15066
  > 5: d_y1_d_x1 0.0685262 0.1718947 0.399 0.69015
  > 5: d_y2_d_x1 0.2651417 0.1706556 1.554 0.12026
  > 5: d_y3_d_x1 -0.2608412 0.1682214 -1.551 0.12100
  > 5: d_y1_d_x2 -0.0674117 0.1594292 -0.423 0.67242
  > 5: d_y2_d_x2 -0.3961557 0.2129469 -1.860 0.06284 .
  > 5: d_y3_d_x2 0.3847186 0.1643076 2.341 0.01921 *
  > 6: d_y1_d_x1 0.4628921 0.3679524 1.258 0.20838
  > 6: d_y2_d_x1 0.0855760 0.1633725 0.524 0.60041
  > 6: d_y3_d_x1 -0.1167335 0.1854189 -0.630 0.52898
  > 6: d_y1_d_x2 -0.4553642 0.3716033 -1.225 0.22042
  > 6: d_y2_d_x2 -0.1278615 0.2191772 -0.583 0.55964
  > 6: d_y3_d_x2 0.1721719 0.1590084 1.083 0.27890
  > 7: d_y1_d_x1 0.0011408 0.0104205 0.109 0.91283
  > 7: d_y2_d_x1 0.0040605 0.0127622 0.318 0.75036
  > 7: d_y3_d_x1 -0.0192503 0.0522359 -0.369 0.71248
  > 7: d_y1_d_x2 -0.0011222 0.0100135 -0.112 0.91077
  > 7: d_y2_d_x2 -0.0060669 0.0202419 -0.300 0.76439
  > 7: d_y3_d_x2 0.0283926 0.0809208 0.351 0.72569
  > 8: d_y1_d_x1 0.4591792 0.3547693 1.294 0.19556
  > 8: d_y2_d_x1 0.1644286 0.1607414 1.023 0.30634
  > 8: d_y3_d_x1 -0.1771091 0.1040865 -1.702 0.08884 .
  > 8: d_y1_d_x2 -0.4517116 0.3778331 -1.196 0.23188
  > 8: d_y2_d_x2 -0.2456774 0.2895845 -0.848 0.39623
  > 8: d_y3_d_x2 0.2612208 0.1389094 1.881 0.06004 .
  > 9: d_y1_d_x1 0.4284797 0.3354146 1.277 0.20144
  > 9: d_y2_d_x1 0.3418824 0.1591856 2.148 0.03174 *
  > 9: d_y3_d_x1 -0.2906800 0.2235404 -1.300 0.19348
  > 9: d_y1_d_x2 -0.4215114 0.2733031 -1.542 0.12300
  > 9: d_y2_d_x2 -0.5108161 0.1769880 -2.886 0.00390 **
  > 9: d_y3_d_x2 0.4287282 0.1975437 2.170 0.02998 *
  > 10: d_y1_d_x1 0.4441739 0.3492171 1.272 0.20340
  > 10: d_y2_d_x1 0.3080759 0.1350329 2.281 0.02252 *
  > 10: d_y3_d_x1 -0.2704623 0.1920952 -1.408 0.15914
  > 10: d_y1_d_x2 -0.4369504 0.3108192 -1.406 0.15978
  > 10: d_y2_d_x2 -0.4603049 0.2025589 -2.272 0.02306 *
  > 10: d_y3_d_x2 0.3989088 0.1736170 2.298 0.02158 *
  > 11: d_y1_d_x1 0.2084940 0.1733247 1.203 0.22901
  > 11: d_y2_d_x1 0.4208561 0.3524522 1.194 0.23245
  > 11: d_y3_d_x1 -0.3405275 0.3419437 -0.996 0.31932
  > 11: d_y1_d_x2 -0.2051033 0.1686940 -1.216 0.22405
  > 11: d_y2_d_x2 -0.6288130 0.2929760 -2.146 0.03185 *
  > 11: d_y3_d_x2 0.5022490 0.2714282 1.850 0.06426 .
  > 12: d_y1_d_x1 0.0351580 0.1247792 0.282 0.77813
  > 12: d_y2_d_x1 0.1585722 0.0918439 1.727 0.08425 .
  > 12: d_y3_d_x1 -0.1903089 0.1047009 -1.818 0.06912 .
  > 12: d_y1_d_x2 -0.0345862 0.1169745 -0.296 0.76748
  > 12: d_y2_d_x2 -0.2369272 0.1553557 -1.525 0.12724
  > 12: d_y3_d_x2 0.2806895 0.1495365 1.877 0.06051 .
  > 13: d_y1_d_x1 0.0535066 0.1549265 0.345 0.72982
  > 13: d_y2_d_x1 0.2221012 0.1321527 1.681 0.09283 .
  > 13: d_y3_d_x1 -0.2341238 0.1364993 -1.715 0.08631 .
  > 13: d_y1_d_x2 -0.0526364 0.1443091 -0.365 0.71530
  > 13: d_y2_d_x2 -0.3318477 0.1847243 -1.796 0.07242 .
  > 13: d_y3_d_x2 0.3453127 0.1505415 2.294 0.02180 *
  > 14: d_y1_d_x1 0.0077455 0.0462115 0.168 0.86689
  > 14: d_y2_d_x1 0.0365310 0.0506660 0.721 0.47090
  > 14: d_y3_d_x1 -0.0763598 0.0949354 -0.804 0.42120
  > 14: d_y1_d_x2 -0.0076195 0.0439774 -0.173 0.86245
  > 14: d_y2_d_x2 -0.0545820 0.0866790 -0.630 0.52889
  > 14: d_y3_d_x2 0.1126242 0.1559549 0.722 0.47020
  > 15: d_y1_d_x1 0.0983928 0.2668037 0.369 0.71229
  > 15: d_y2_d_x1 0.1951304 0.2397581 0.814 0.41572
  > 15: d_y3_d_x1 -0.2185129 0.2611210 -0.837 0.40269
  > 15: d_y1_d_x2 -0.0967926 0.2198792 -0.440 0.65979
  > 15: d_y2_d_x2 -0.2915499 0.2036627 -1.432 0.15228
  > 15: d_y3_d_x2 0.3222879 0.1370423 2.352 0.01869 *
  > 16: d_y1_d_x1 0.1861029 0.1838931 1.012 0.31153
  > 16: d_y2_d_x1 0.4174861 0.3476044 1.201 0.22974
  > 16: d_y3_d_x1 -0.3399978 0.3303216 -1.029 0.30334
  > 16: d_y1_d_x2 -0.1830764 0.1737741 -1.054 0.29210
  > 16: d_y2_d_x2 -0.6237778 0.3085691 -2.022 0.04323 *
  > 16: d_y3_d_x2 0.5014677 0.2697076 1.859 0.06298 .
  > 17: d_y1_d_x1 0.2294750 0.1626257 1.411 0.15823
  > 17: d_y2_d_x1 0.4187232 0.3512515 1.192 0.23323
  > 17: d_y3_d_x1 -0.3383323 0.3486058 -0.971 0.33178
  > 17: d_y1_d_x2 -0.2257431 0.1652685 -1.366 0.17196
  > 17: d_y2_d_x2 -0.6256261 0.2720114 -2.300 0.02145 *
  > 17: d_y3_d_x2 0.4990113 0.2683494 1.860 0.06295 .
  > 18: d_y1_d_x1 0.4136571 0.3245288 1.275 0.20244
  > 18: d_y2_d_x1 0.3651229 0.1892800 1.929 0.05373 .
  > 18: d_y3_d_x1 -0.3044570 0.2474695 -1.230 0.21859
  > 18: d_y1_d_x2 -0.4069299 0.2423963 -1.679 0.09320 .
  > 18: d_y2_d_x2 -0.5455404 0.1716217 -3.179 0.00148 **
  > 18: d_y3_d_x2 0.4490482 0.2163669 2.075 0.03795 *
  > 19: d_y1_d_x1 0.3764961 0.1937626 1.943 0.05201 .
  > 19: d_y2_d_x1 0.2936902 0.2677201 1.097 0.27264
  > 19: d_y3_d_x1 -0.2638173 0.3075951 -0.858 0.39107
  > 19: d_y1_d_x2 -0.3703732 0.2549995 -1.452 0.14638
  > 19: d_y2_d_x2 -0.4388109 0.1792273 -2.448 0.01435 *
  > 19: d_y3_d_x2 0.3891081 0.1720995 2.261 0.02376 *
  > 20: d_y1_d_x1 0.0907767 0.1780308 0.510 0.61013
  > 20: d_y2_d_x1 0.0004808 0.0035019 0.137 0.89080
  > 20: d_y3_d_x1 -0.0039026 0.0168379 -0.232 0.81671
  > 20: d_y1_d_x2 -0.0893004 0.1579533 -0.565 0.57183
  > 20: d_y2_d_x2 -0.0007183 0.0053670 -0.134 0.89353
  > 20: d_y3_d_x2 0.0057560 0.0254204 0.226 0.82086
  > 21: d_y1_d_x1 0.2537931 0.3084248 0.823 0.41058
  > 21: d_y2_d_x1 0.3992862 0.3938352 1.014 0.31066
  > 21: d_y3_d_x1 -0.3331994 0.3472876 -0.959 0.33734
  > 21: d_y1_d_x2 -0.2496657 0.1727348 -1.445 0.14835
  > 21: d_y2_d_x2 -0.5965848 0.3369149 -1.771 0.07661 .
  > 21: d_y3_d_x2 0.4914407 0.2550417 1.927 0.05399 .
  > 22: d_y1_d_x1 0.0030125 0.0260178 0.116 0.90782
  > 22: d_y2_d_x1 0.0025944 0.0095680 0.271 0.78627
  > 22: d_y3_d_x1 -0.0149288 0.0516028 -0.289 0.77235
  > 22: d_y1_d_x2 -0.0029635 0.0245156 -0.121 0.90378
  > 22: d_y2_d_x2 -0.0038764 0.0136099 -0.285 0.77578
  > 22: d_y3_d_x2 0.0220188 0.0686833 0.321 0.74853
  > 23: d_y1_d_x1 0.3839298 0.2322611 1.653 0.09833 .
  > 23: d_y2_d_x1 0.0530957 0.1200950 0.442 0.65841
  > 23: d_y3_d_x1 -0.0838742 0.0922399 -0.909 0.36319
  > 23: d_y1_d_x2 -0.3776861 0.2689458 -1.404 0.16022
  > 23: d_y2_d_x2 -0.0793318 0.1962509 -0.404 0.68604
  > 23: d_y3_d_x2 0.1237074 0.1478013 0.837 0.40260
  > 24: d_y1_d_x1 0.1871958 0.3116447 0.601 0.54806
  > 24: d_y2_d_x1 0.3366256 0.3680215 0.915 0.36035
  > 24: d_y3_d_x1 -0.3027792 0.3293934 -0.919 0.35799
  > 24: d_y1_d_x2 -0.1841514 0.2158454 -0.853 0.39357
  > 24: d_y2_d_x2 -0.5029618 0.3122748 -1.611 0.10726
  > 24: d_y3_d_x2 0.4465735 0.2031295 2.198 0.02792 *
  > 25: d_y1_d_x1 0.1933384 0.3121410 0.619 0.53566
  > 25: d_y2_d_x1 0.3440335 0.3731768 0.922 0.35658
  > 25: d_y3_d_x1 -0.3066217 0.3323178 -0.923 0.35618
  > 25: d_y1_d_x2 -0.1901942 0.2126762 -0.894 0.37117
  > 25: d_y2_d_x2 -0.5140301 0.3173040 -1.620 0.10523
  > 25: d_y3_d_x2 0.4522409 0.2089671 2.164 0.03045 *
  > 26: d_y1_d_x1 0.3785419 0.2252087 1.681 0.09279 .
  > 26: d_y2_d_x1 0.0497991 0.1162620 0.428 0.66841
  > 26: d_y3_d_x1 -0.0804133 0.0915366 -0.878 0.37968
  > 26: d_y1_d_x2 -0.3723857 0.2610610 -1.426 0.15374
  > 26: d_y2_d_x2 -0.0744062 0.1894584 -0.393 0.69452
  > 26: d_y3_d_x2 0.1186028 0.1465188 0.809 0.41824
  > 27: d_y1_d_x1 0.0599317 0.1626478 0.368 0.71252
  > 27: d_y2_d_x1 0.2414198 0.1485489 1.625 0.10412
  > 27: d_y3_d_x1 -0.2463698 0.1499776 -1.643 0.10044
  > 27: d_y1_d_x2 -0.0589571 0.1511973 -0.390 0.69658
  > 27: d_y2_d_x2 -0.3607121 0.1966482 -1.834 0.06661 .
  > 27: d_y3_d_x2 0.3633744 0.1553877 2.339 0.01936 *
  > 28: d_y1_d_x1 0.0038965 0.0277859 0.140 0.88848
  > 28: d_y2_d_x1 0.0171661 0.0338585 0.507 0.61216
  > 28: d_y3_d_x1 -0.0475933 0.0827103 -0.575 0.56501
  > 28: d_y1_d_x2 -0.0038331 0.0265637 -0.144 0.88527
  > 28: d_y2_d_x2 -0.0256483 0.0557081 -0.460 0.64522
  > 28: d_y3_d_x2 0.0701960 0.1321063 0.531 0.59517
  > 29: d_y1_d_x1 0.4387734 0.3441602 1.275 0.20234
  > 29: d_y2_d_x1 0.3211739 0.1417537 2.266 0.02347 *
  > 29: d_y3_d_x1 -0.2783356 0.2038223 -1.366 0.17207
  > 29: d_y1_d_x2 -0.4316377 0.2971846 -1.452 0.14638
  > 29: d_y2_d_x2 -0.4798749 0.1912621 -2.509 0.01211 *
  > 29: d_y3_d_x2 0.4105213 0.1822638 2.252 0.02430 *
  > 30: d_y1_d_x1 0.0827874 0.1829991 0.452 0.65099
  > 30: d_y2_d_x1 0.2996249 0.2062733 1.453 0.14635
  > 30: d_y3_d_x1 -0.2808737 0.1977175 -1.421 0.15544
  > 30: d_y1_d_x2 -0.0814410 0.1691615 -0.481 0.63020
  > 30: d_y2_d_x2 -0.4476780 0.2396874 -1.868 0.06180 .
  > 30: d_y3_d_x2 0.4142648 0.1822614 2.273 0.02303 *
  > 31: d_y1_d_x1 0.1109654 0.1949650 0.569 0.56925
  > 31: d_y2_d_x1 0.3523061 0.2665386 1.322 0.18624
  > 31: d_y3_d_x1 -0.3093692 0.2484722 -1.245 0.21310
  > 31: d_y1_d_x2 -0.1091608 0.1794793 -0.608 0.54305
  > 31: d_y2_d_x2 -0.5263905 0.2833821 -1.858 0.06324 .
  > 31: d_y3_d_x2 0.4562932 0.2183185 2.090 0.03661 *
  > 32: d_y1_d_x1 0.4610436 0.3649767 1.263 0.20651
  > 32: d_y2_d_x1 0.2407803 0.1384474 1.739 0.08201 .
  > 32: d_y3_d_x1 -0.2287085 0.1405512 -1.627 0.10369
  > 32: d_y1_d_x2 -0.4535457 0.3612404 -1.256 0.20929
  > 32: d_y2_d_x2 -0.3597567 0.2601656 -1.383 0.16673
  > 32: d_y3_d_x2 0.3373256 0.1429065 2.360 0.01825 *
  > 33: d_y1_d_x1 0.0489118 0.1487038 0.329 0.74222
  > 33: d_y2_d_x1 0.2073988 0.1208362 1.716 0.08610 .
  > 33: d_y3_d_x1 -0.2244998 0.1272792 -1.764 0.07776 .
  > 33: d_y1_d_x2 -0.0481163 0.1387287 -0.347 0.72871
  > 33: d_y2_d_x2 -0.3098804 0.1767155 -1.754 0.07951 .
  > 33: d_y3_d_x2 0.3311181 0.1483447 2.232 0.02561 *
  > 34: d_y1_d_x1 0.2918467 0.1402138 2.081 0.03739 *
  > 34: d_y2_d_x1 0.3868975 0.3240208 1.194 0.23246
  > 34: d_y3_d_x1 -0.3187254 0.3475035 -0.917 0.35905
  > 34: d_y1_d_x2 -0.2871005 0.1750310 -1.640 0.10095
  > 34: d_y2_d_x2 -0.5780745 0.1938129 -2.983 0.00286 **
  > 34: d_y3_d_x2 0.4700927 0.2378398 1.977 0.04810 *
  > 35: d_y1_d_x1 0.0693382 0.1724062 0.402 0.68755
  > 35: d_y2_d_x1 0.2672640 0.1725973 1.548 0.12151
  > 35: d_y3_d_x1 -0.2621075 0.1699692 -1.542 0.12305
  > 35: d_y1_d_x2 -0.0682106 0.1598567 -0.427 0.66960
  > 35: d_y2_d_x2 -0.3993267 0.2143416 -1.863 0.06246 .
  > 35: d_y3_d_x2 0.3865862 0.1652524 2.339 0.01932 *
  > 36: d_y1_d_x1 0.1942907 0.1801413 1.079 0.28079
  > 36: d_y2_d_x1 0.4194379 0.3501349 1.198 0.23094
  > 36: d_y3_d_x1 -0.3405594 0.3351504 -1.016 0.30956
  > 36: d_y1_d_x2 -0.1911310 0.1717706 -1.113 0.26583
  > 36: d_y2_d_x2 -0.6266940 0.3037220 -2.063 0.03908 *
  > 36: d_y3_d_x2 0.5022961 0.2709616 1.854 0.06377 .
  > 37: d_y1_d_x1 0.4196328 0.2610018 1.608 0.10788
  > 37: d_y2_d_x1 0.2239110 0.2400895 0.933 0.35102
  > 37: d_y3_d_x1 -0.2200429 0.2714789 -0.811 0.41763
  > 37: d_y1_d_x2 -0.4128084 0.3171966 -1.301 0.19311
  > 37: d_y2_d_x2 -0.3345518 0.2259999 -1.480 0.13879
  > 37: d_y3_d_x2 0.3245445 0.1492227 2.175 0.02964 *
  > 38: d_y1_d_x1 0.4628216 0.3657665 1.265 0.20575
  > 38: d_y2_d_x1 0.2208904 0.1452555 1.521 0.12833
  > 38: d_y3_d_x1 -0.2158009 0.1284410 -1.680 0.09293 .
  > 38: d_y1_d_x2 -0.4552948 0.3700358 -1.230 0.21854
  > 38: d_y2_d_x2 -0.3300386 0.2728980 -1.209 0.22652
  > 38: d_y3_d_x2 0.3182879 0.1388452 2.292 0.02188 *
  > 39: d_y1_d_x1 0.3066097 0.3008442 1.019 0.30812
  > 39: d_y2_d_x1 0.4199995 0.3659529 1.148 0.25110
  > 39: d_y3_d_x1 -0.3406970 0.3388701 -1.005 0.31471
  > 39: d_y1_d_x2 -0.3016233 0.1438290 -2.097 0.03598 *
  > 39: d_y2_d_x2 -0.6275330 0.3061505 -2.050 0.04039 *
  > 39: d_y3_d_x2 0.5024991 0.2713680 1.852 0.06407 .
  > 40: d_y1_d_x1 0.3427522 0.1856809 1.846 0.06490 .
  > 40: d_y2_d_x1 0.0327138 0.0916114 0.357 0.72102
  > 40: d_y3_d_x1 -0.0610294 0.0860418 -0.709 0.47814
  > 40: d_y1_d_x2 -0.3371781 0.2125041 -1.587 0.11258
  > 40: d_y2_d_x2 -0.0488786 0.1471075 -0.332 0.73969
  > 40: d_y3_d_x2 0.0900131 0.1364710 0.660 0.50953
  > 41: d_y1_d_x1 0.3871927 0.2366496 1.636 0.10181
  > 41: d_y2_d_x1 0.0552104 0.1224868 0.451 0.65217
  > 41: d_y3_d_x1 -0.0860563 0.0924706 -0.931 0.35204
  > 41: d_y1_d_x2 -0.3808958 0.2737765 -1.391 0.16414
  > 41: d_y2_d_x2 -0.0824913 0.2005076 -0.411 0.68077
  > 41: d_y3_d_x2 0.1269258 0.1482204 0.856 0.39181
  > 42: d_y1_d_x1 0.4612913 0.3593365 1.284 0.19924
  > 42: d_y2_d_x1 0.1775253 0.1583049 1.121 0.26211
  > 42: d_y3_d_x1 -0.1864022 0.1083052 -1.721 0.08524 .
  > 42: d_y1_d_x2 -0.4537894 0.3785496 -1.199 0.23062
  > 42: d_y2_d_x2 -0.2652456 0.2885959 -0.919 0.35805
  > 42: d_y3_d_x2 0.2749274 0.1376428 1.997 0.04578 *
  > 43: d_y1_d_x1 0.4473813 0.3521982 1.270 0.20399
  > 43: d_y2_d_x1 0.2992639 0.1322582 2.263 0.02365 *
  > 43: d_y3_d_x1 -0.2651285 0.1845443 -1.437 0.15081
  > 43: d_y1_d_x2 -0.4401057 0.3190844 -1.379 0.16781
  > 43: d_y2_d_x2 -0.4471386 0.2105828 -2.123 0.03373 *
  > 43: d_y3_d_x2 0.3910420 0.1682115 2.325 0.02009 *
  > 44: d_y1_d_x1 0.0251250 0.1028008 0.244 0.80692
  > 44: d_y2_d_x1 0.1179242 0.0773983 1.524 0.12761
  > 44: d_y3_d_x1 -0.1584480 0.0970460 -1.633 0.10253
  > 44: d_y1_d_x2 -0.0247164 0.0967978 -0.255 0.79846
  > 44: d_y2_d_x2 -0.1761939 0.1405686 -1.253 0.21005
  > 44: d_y3_d_x2 0.2336972 0.1572143 1.486 0.13715
  > 45: d_y1_d_x1 0.4584600 0.3445850 1.330 0.18336
  > 45: d_y2_d_x1 0.1287179 0.1966903 0.654 0.51284
  > 45: d_y3_d_x1 -0.1526113 0.2160522 -0.706 0.47996
  > 45: d_y1_d_x2 -0.4510042 0.3739716 -1.206 0.22782
  > 45: d_y2_d_x2 -0.1923211 0.2451119 -0.785 0.43267
  > 45: d_y3_d_x2 0.2250886 0.1542001 1.460 0.14437
  > 46: d_y1_d_x1 0.2196198 0.3120953 0.704 0.48162
  > 46: d_y2_d_x1 0.3720376 0.3890813 0.956 0.33897
  > 46: d_y3_d_x1 -0.3206175 0.3418885 -0.938 0.34836
  > 46: d_y1_d_x2 -0.2160482 0.1967208 -1.098 0.27210
  > 46: d_y2_d_x2 -0.5558719 0.3329339 -1.670 0.09500 .
  > 46: d_y3_d_x2 0.4728836 0.2319021 2.039 0.04143 *
  > 47: d_y1_d_x1 0.0675667 0.1625237 0.416 0.67760
  > 47: d_y2_d_x1 0.0002118 0.0017223 0.123 0.90213
  > 47: d_y3_d_x1 -0.0022930 0.0111918 -0.205 0.83767
  > 47: d_y1_d_x2 -0.0664679 0.1464426 -0.454 0.64991
  > 47: d_y2_d_x2 -0.0003165 0.0026318 -0.120 0.90429
  > 47: d_y3_d_x2 0.0033819 0.0168399 0.201 0.84083
  > 48: d_y1_d_x1 0.2215763 0.1639738 1.351 0.17660
  > 48: d_y2_d_x1 0.0069406 0.0311010 0.223 0.82341
  > 48: d_y3_d_x1 -0.0221528 0.0544918 -0.407 0.68435
  > 48: d_y1_d_x2 -0.2179729 0.1421666 -1.533 0.12522
  > 48: d_y2_d_x2 -0.0103702 0.0485413 -0.214 0.83083
  > 48: d_y3_d_x2 0.0326734 0.0839788 0.389 0.69723
  > 49: d_y1_d_x1 0.0670193 0.1703452 0.393 0.69400
  > 49: d_y2_d_x1 0.2611504 0.1668225 1.565 0.11748
  > 49: d_y3_d_x1 -0.2584476 0.1650362 -1.566 0.11735
  > 49: d_y1_d_x2 -0.0659294 0.1580396 -0.417 0.67655
  > 49: d_y2_d_x2 -0.3901922 0.2099946 -1.858 0.06315 .
  > 49: d_y3_d_x2 0.3811881 0.1625644 2.345 0.01904 *
  > 50: d_y1_d_x1 0.1076446 0.2756419 0.391 0.69615
  > 50: d_y2_d_x1 0.2126782 0.2570757 0.827 0.40807
  > 50: d_y3_d_x1 -0.2302289 0.2704463 -0.851 0.39461
  > 50: d_y1_d_x2 -0.1058940 0.2239865 -0.473 0.63638
  > 50: d_y2_d_x2 -0.3177685 0.2162648 -1.469 0.14174
  > 50: d_y3_d_x2 0.3395679 0.1387389 2.448 0.01438 *
  1518,1817c1520,1819
  < 1: d_y1_d_x1 0.2588724 0.2581611 1.003 0.315979
  < 1: d_y2_d_x1 0.2739468 0.1819042 1.506 0.132069
  < 1: d_y3_d_x1 -0.2088951 0.2794535 -0.748 0.454754
  < 1: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 1: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 1: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 2: d_y1_d_x1 0.1954173 0.2707105 0.722 0.470376
  < 2: d_y2_d_x1 0.3409786 0.2439215 1.398 0.162142
  < 2: d_y3_d_x1 -0.2344227 0.3363572 -0.697 0.485837
  < 2: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 2: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 2: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 3: d_y1_d_x1 0.1923730 0.2712445 0.709 0.478186
  < 3: d_y2_d_x1 0.3430715 0.2465572 1.391 0.164090
  < 3: d_y3_d_x1 -0.2347991 0.3384368 -0.694 0.487823
  < 3: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 3: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 3: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 4: d_y1_d_x1 0.4710862 0.4663177 1.010 0.312387
  < 4: d_y2_d_x1 0.0182040 0.0436368 0.417 0.676553
  < 4: d_y3_d_x1 -0.0277229 0.0816259 -0.340 0.734133
  < 4: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 4: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 4: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 5: d_y1_d_x1 0.1555408 0.2742077 0.567 0.570553
  < 5: d_y2_d_x1 0.3555072 0.2694184 1.320 0.186990
  < 5: d_y3_d_x1 -0.2311447 0.3549101 -0.651 0.514868
  < 5: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 5: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 5: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 6: d_y1_d_x1 0.4797355 0.4971429 0.965 0.334552
  < 6: d_y2_d_x1 0.0101714 0.0292487 0.348 0.728024
  < 6: d_y3_d_x1 -0.0175828 0.0609701 -0.288 0.773053
  < 6: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 6: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 6: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 7: d_y1_d_x1 0.0170578 0.1032958 0.165 0.868837
  < 7: d_y2_d_x1 0.0437355 0.0868416 0.504 0.614526
  < 7: d_y3_d_x1 -0.0279646 0.1050418 -0.266 0.790067
  < 7: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 7: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 7: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 8: d_y1_d_x1 0.3368240 0.2715419 1.240 0.214823
  < 8: d_y2_d_x1 0.1666264 0.1301171 1.281 0.200338
  < 8: d_y3_d_x1 -0.1487968 0.2060125 -0.722 0.470128
  < 8: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 8: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 8: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 9: d_y1_d_x1 0.2290025 0.2636581 0.869 0.385089
  < 9: d_y2_d_x1 0.3100549 0.2113119 1.467 0.142298
  < 9: d_y3_d_x1 -0.2246570 0.3085604 -0.728 0.466564
  < 9: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 9: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 9: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 10: d_y1_d_x1 0.2501551 0.2594787 0.964 0.335012
  < 10: d_y2_d_x1 0.2850722 0.1901729 1.499 0.133869
  < 10: d_y3_d_x1 -0.2140662 0.2881454 -0.743 0.457536
  < 10: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 10: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 10: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 11: d_y1_d_x1 0.2886618 0.2568939 1.124 0.261157
  < 11: d_y2_d_x1 0.2336846 0.1571785 1.487 0.137082
  < 11: d_y3_d_x1 -0.1883779 0.2498059 -0.754 0.450791
  < 11: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 11: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 11: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 12: d_y1_d_x1 0.1080931 0.2613293 0.414 0.679147
  < 12: d_y2_d_x1 0.3229794 0.2606516 1.239 0.215300
  < 12: d_y3_d_x1 -0.1987210 0.3425925 -0.580 0.561880
  < 12: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 12: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 12: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 13: d_y1_d_x1 0.1358611 0.2718261 0.500 0.617210
  < 13: d_y2_d_x1 0.3499147 0.2719826 1.287 0.198257
  < 13: d_y3_d_x1 -0.2219715 0.3552834 -0.625 0.532120
  < 13: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 13: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 13: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 14: d_y1_d_x1 0.0477263 0.1904317 0.251 0.802107
  < 14: d_y2_d_x1 0.1665697 0.1783658 0.934 0.350373
  < 14: d_y3_d_x1 -0.0994055 0.2372710 -0.419 0.675250
  < 14: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 14: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 14: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 15: d_y1_d_x1 0.0434196 0.1813627 0.239 0.810789
  < 15: d_y2_d_x1 0.1501026 0.1694605 0.886 0.375743
  < 15: d_y3_d_x1 -0.0897829 0.2235125 -0.402 0.687912
  < 15: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 15: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 15: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 16: d_y1_d_x1 0.2706682 0.2569696 1.053 0.292200
  < 16: d_y2_d_x1 0.2583368 0.1713889 1.507 0.131730
  < 16: d_y3_d_x1 -0.2012550 0.2676316 -0.752 0.452060
  < 16: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 16: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 16: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 17: d_y1_d_x1 0.3048933 0.2591314 1.177 0.239356
  < 17: d_y2_d_x1 0.2110071 0.1464159 1.441 0.149543
  < 17: d_y3_d_x1 -0.1757262 0.2342768 -0.750 0.453207
  < 17: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 17: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 17: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 18: d_y1_d_x1 0.2131349 0.2671395 0.798 0.424963
  < 18: d_y2_d_x1 0.3262819 0.2272738 1.436 0.151107
  < 18: d_y3_d_x1 -0.2304769 0.3226520 -0.714 0.475029
  < 18: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 18: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 18: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 19: d_y1_d_x1 0.4088876 0.3449842 1.185 0.235924
  < 19: d_y2_d_x1 0.0768231 0.0972783 0.790 0.429688
  < 19: d_y3_d_x1 -0.0839480 0.1499274 -0.560 0.575531
  < 19: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 19: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 19: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 20: d_y1_d_x1 0.4549377 0.5627351 0.808 0.418837
  < 20: d_y2_d_x1 0.0008039 0.0040218 0.200 0.841574
  < 20: d_y3_d_x1 -0.0023583 0.0138283 -0.171 0.864581
  < 20: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 20: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 20: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 21: d_y1_d_x1 0.1098218 0.2622797 0.419 0.675421
  < 21: d_y2_d_x1 0.3253946 0.2618948 1.242 0.214066
  < 21: d_y3_d_x1 -0.2005528 0.3438992 -0.583 0.559777
  < 21: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 21: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 21: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 22: d_y1_d_x1 0.0027767 0.0272370 0.102 0.918799
  < 22: d_y2_d_x1 0.0019901 0.0089568 0.222 0.824167
  < 22: d_y3_d_x1 -0.0016910 0.0119838 -0.141 0.887784
  < 22: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 22: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 22: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 23: d_y1_d_x1 0.4240424 0.3686129 1.150 0.249990
  < 23: d_y2_d_x1 0.0608460 0.0875846 0.695 0.487237
  < 23: d_y3_d_x1 -0.0703453 0.1372106 -0.513 0.608174
  < 23: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 23: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 23: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 24: d_y1_d_x1 0.0796055 0.2383980 0.334 0.738441
  < 24: d_y2_d_x1 0.2671588 0.2305436 1.159 0.246529
  < 24: d_y3_d_x1 -0.1605380 0.3092634 -0.519 0.603692
  < 24: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 24: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 24: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 25: d_y1_d_x1 0.0822489 0.2411799 0.341 0.733083
  < 25: d_y2_d_x1 0.2736706 0.2340401 1.169 0.242270
  < 25: d_y3_d_x1 -0.1647346 0.3133890 -0.526 0.599128
  < 25: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 25: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 25: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 26: d_y1_d_x1 0.4274381 0.3743117 1.142 0.253483
  < 26: d_y2_d_x1 0.0574266 0.0851840 0.674 0.500217
  < 26: d_y3_d_x1 -0.0673131 0.1341786 -0.502 0.615901
  < 26: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 26: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 26: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 27: d_y1_d_x1 0.1445428 0.2733116 0.529 0.596905
  < 27: d_y2_d_x1 0.3536142 0.2718544 1.301 0.193345
  < 27: d_y3_d_x1 -0.2267098 0.3559721 -0.637 0.524206
  < 27: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 27: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 27: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 28: d_y1_d_x1 0.0329819 0.1558159 0.212 0.832363
  < 28: d_y2_d_x1 0.1082366 0.1441385 0.751 0.452700
  < 28: d_y3_d_x1 -0.0655127 0.1845424 -0.355 0.722589
  < 28: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 28: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 28: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 29: d_y1_d_x1 0.2421385 0.2609365 0.928 0.353429
  < 29: d_y2_d_x1 0.2949158 0.1980580 1.489 0.136477
  < 29: d_y3_d_x1 -0.2184254 0.2960321 -0.738 0.460609
  < 29: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 29: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 29: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 30: d_y1_d_x1 0.1725433 0.2737929 0.630 0.528566
  < 30: d_y2_d_x1 0.3529995 0.2612821 1.351 0.176686
  < 30: d_y3_d_x1 -0.2348297 0.3495127 -0.672 0.501662
  < 30: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 30: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 30: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 31: d_y1_d_x1 0.2027941 0.2693041 0.753 0.451432
  < 31: d_y2_d_x1 0.3353567 0.2372262 1.414 0.157462
  < 31: d_y3_d_x1 -0.2331330 0.3309622 -0.704 0.481178
  < 31: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 31: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 31: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 32: d_y1_d_x1 0.2899978 0.2569883 1.128 0.259131
  < 32: d_y2_d_x1 0.2318277 0.1562188 1.484 0.137811
  < 32: d_y3_d_x1 -0.1873703 0.2485037 -0.754 0.450853
  < 32: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 32: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 32: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 33: d_y1_d_x1 0.1293673 0.2702081 0.479 0.632103
  < 33: d_y2_d_x1 0.3457668 0.2709695 1.276 0.201943
  < 33: d_y3_d_x1 -0.2176722 0.3538119 -0.615 0.538409
  < 33: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 33: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 33: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 34: d_y1_d_x1 0.3504910 0.2805162 1.249 0.211500
  < 34: d_y2_d_x1 0.1481781 0.1243628 1.191 0.233458
  < 34: d_y3_d_x1 -0.1367205 0.1948788 -0.702 0.482949
  < 34: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 34: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 34: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 35: d_y1_d_x1 0.1565480 0.2742401 0.571 0.568106
  < 35: d_y2_d_x1 0.3555348 0.2690768 1.321 0.186397
  < 35: d_y3_d_x1 -0.2314672 0.3547120 -0.653 0.514047
  < 35: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 35: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 35: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 36: d_y1_d_x1 0.2773369 0.2566676 1.081 0.279907
  < 36: d_y2_d_x1 0.2492938 0.1658484 1.503 0.132802
  < 36: d_y3_d_x1 -0.1966417 0.2609750 -0.753 0.451156
  < 36: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 36: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 36: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 37: d_y1_d_x1 0.4389320 0.3947837 1.112 0.266212
  < 37: d_y2_d_x1 0.0462905 0.0763579 0.606 0.544361
  < 37: d_y3_d_x1 -0.0570830 0.1232246 -0.463 0.643190
  < 37: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 37: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 37: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 38: d_y1_d_x1 0.3018128 0.2585160 1.167 0.243016
  < 38: d_y2_d_x1 0.2153237 0.1483111 1.452 0.146547
  < 38: d_y3_d_x1 -0.1781921 0.2371710 -0.751 0.452458
  < 38: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 38: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 38: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 39: d_y1_d_x1 0.1371449 0.2720930 0.504 0.614235
  < 39: d_y2_d_x1 0.3505917 0.2720688 1.289 0.197532
  < 39: d_y3_d_x1 -0.2227438 0.3554752 -0.627 0.530916
  < 39: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 39: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 39: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 40: d_y1_d_x1 0.4465709 0.4095064 1.091 0.275488
  < 40: d_y2_d_x1 0.0392561 0.0698285 0.562 0.573994
  < 40: d_y3_d_x1 -0.0502931 0.1151867 -0.437 0.662385
  < 40: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 40: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 40: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 41: d_y1_d_x1 0.4219069 0.3651066 1.156 0.247856
  < 41: d_y2_d_x1 0.0630267 0.0890493 0.708 0.479086
  < 41: d_y3_d_x1 -0.0722550 0.1390779 -0.520 0.603392
  < 41: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 41: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 41: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 42: d_y1_d_x1 0.3284262 0.2671513 1.229 0.218935
  < 42: d_y2_d_x1 0.1781714 0.1339130 1.331 0.183353
  < 42: d_y3_d_x1 -0.1560831 0.2131300 -0.732 0.463963
  < 42: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 42: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 42: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 43: d_y1_d_x1 0.2554630 0.2586381 0.988 0.323288
  < 43: d_y2_d_x1 0.2783452 0.1850939 1.504 0.132631
  < 43: d_y3_d_x1 -0.2109684 0.2828626 -0.746 0.455768
  < 43: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 43: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 43: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 44: d_y1_d_x1 0.0900840 0.2485732 0.362 0.717050
  < 44: d_y2_d_x1 0.2913294 0.2436143 1.196 0.231750
  < 44: d_y3_d_x1 -0.1763760 0.3242905 -0.544 0.586522
  < 44: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 44: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 44: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 45: d_y1_d_x1 0.4704353 0.4644735 1.013 0.311139
  < 45: d_y2_d_x1 0.0187548 0.0445010 0.421 0.673428
  < 45: d_y3_d_x1 -0.0283745 0.0827987 -0.343 0.731830
  < 45: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 45: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 45: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 46: d_y1_d_x1 0.0938576 0.2517092 0.373 0.709237
  < 46: d_y2_d_x1 0.2989732 0.2477794 1.207 0.227582
  < 46: d_y3_d_x1 -0.1815614 0.3288723 -0.552 0.580899
  < 46: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 46: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 46: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 47: d_y1_d_x1 0.4354701 0.5747818 0.758 0.448674
  < 47: d_y2_d_x1 0.0003744 0.0021157 0.177 0.859520
  < 47: d_y3_d_x1 -0.0012822 0.0084651 -0.151 0.879610
  < 47: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 47: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 47: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 48: d_y1_d_x1 0.4802739 0.5000999 0.960 0.336876
  < 48: d_y2_d_x1 0.0095150 0.0278864 0.341 0.732948
  < 48: d_y3_d_x1 -0.0166858 0.0588771 -0.283 0.776869
  < 48: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 48: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 48: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  < 49: d_y1_d_x1 0.1536582 0.2741259 0.561 0.575112
  < 49: d_y2_d_x1 0.3553920 0.2700055 1.316 0.188094
  < 49: d_y3_d_x1 -0.2305049 0.3552365 -0.649 0.516418
  < 49: d_y1_d_x2 -0.0967083 0.2141852 -0.452 0.651617
  < 49: d_y2_d_x2 -0.4761977 0.1292191 -3.685 0.000229 ***
  < 49: d_y3_d_x2 0.4645398 0.1604271 2.896 0.003784 **
  < 50: d_y1_d_x1 0.0470712 0.1891013 0.249 0.803422
  < 50: d_y2_d_x1 0.1641021 0.1770544 0.927 0.354007
  < 50: d_y3_d_x1 -0.0979596 0.2352556 -0.416 0.677120
  < 50: d_y1_d_x2 -0.3182062 0.3022451 -1.053 0.292429
  < 50: d_y2_d_x2 -0.2016998 0.1621095 -1.244 0.213419
  < 50: d_y3_d_x2 0.3023894 0.2639618 1.146 0.251969
  ---
  > 1: d_y1_d_x1 0.3229492 0.1969184 1.640 0.10100
  > 1: d_y2_d_x1 0.3836677 0.2615002 1.467 0.14233
  > 1: d_y3_d_x1 -0.3169556 0.2944299 -1.077 0.28170
  > 1: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 1: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 1: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 2: d_y1_d_x1 0.2429446 0.2037656 1.192 0.23315
  > 2: d_y2_d_x1 0.3993798 0.3154487 1.266 0.20549
  > 2: d_y3_d_x1 -0.3301446 0.3079400 -1.072 0.28367
  > 2: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 2: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 2: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 3: d_y1_d_x1 0.2388602 0.2048984 1.166 0.24372
  > 3: d_y2_d_x1 0.3982789 0.3163614 1.259 0.20805
  > 3: d_y3_d_x1 -0.3297836 0.3073036 -1.073 0.28320
  > 3: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 3: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 3: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 4: d_y1_d_x1 0.4010840 0.2737181 1.465 0.14283
  > 4: d_y2_d_x1 0.0557836 0.1120191 0.498 0.61850
  > 4: d_y3_d_x1 -0.0842058 0.1161738 -0.725 0.46856
  > 4: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 4: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 4: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 5: d_y1_d_x1 0.1883227 0.2178782 0.864 0.38740
  > 5: d_y2_d_x1 0.3691077 0.3092617 1.194 0.23267
  > 5: d_y3_d_x1 -0.3165704 0.2885639 -1.097 0.27262
  > 5: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 5: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 5: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 6: d_y1_d_x1 0.3702088 0.2479950 1.493 0.13549
  > 6: d_y2_d_x1 0.0348830 0.0858155 0.406 0.68438
  > 6: d_y3_d_x1 -0.0614131 0.1004444 -0.611 0.54093
  > 6: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 6: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 6: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 7: d_y1_d_x1 0.0103208 0.0578293 0.178 0.85835
  > 7: d_y2_d_x1 0.0220459 0.0389256 0.566 0.57115
  > 7: d_y3_d_x1 -0.0531236 0.0945413 -0.562 0.57418
  > 7: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 7: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 7: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 8: d_y1_d_x1 0.4007101 0.2513387 1.594 0.11087
  > 8: d_y2_d_x1 0.2907940 0.1839648 1.581 0.11395
  > 8: d_y3_d_x1 -0.2596189 0.2327124 -1.116 0.26458
  > 8: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 8: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 8: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 9: d_y1_d_x1 0.2866645 0.1948097 1.472 0.14115
  > 9: d_y2_d_x1 0.3996281 0.2934836 1.362 0.17330
  > 9: d_y3_d_x1 -0.3277370 0.3066371 -1.069 0.28516
  > 9: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 9: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 9: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 10: d_y1_d_x1 0.3126554 0.1950652 1.603 0.10897
  > 10: d_y2_d_x1 0.3897239 0.2715355 1.435 0.15121
  > 10: d_y3_d_x1 -0.3208544 0.2989128 -1.073 0.28309
  > 10: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 10: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 10: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 11: d_y1_d_x1 0.3559815 0.2109879 1.687 0.09156 .
  > 11: d_y2_d_x1 0.3554683 0.2265475 1.569 0.11663
  > 11: d_y3_d_x1 -0.2994680 0.2745089 -1.091 0.27531
  > 11: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 11: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 11: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 12: d_y1_d_x1 0.1219655 0.2167209 0.563 0.57359
  > 12: d_y2_d_x1 0.2849034 0.2455108 1.160 0.24586
  > 12: d_y3_d_x1 -0.2706624 0.2345246 -1.154 0.24846
  > 12: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 12: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 12: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 13: d_y1_d_x1 0.1607955 0.2212149 0.727 0.46730
  > 13: d_y2_d_x1 0.3407304 0.2902802 1.174 0.24048
  > 13: d_y3_d_x1 -0.3019451 0.2699648 -1.118 0.26337
  > 13: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 13: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 13: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 14: d_y1_d_x1 0.0425054 0.1438735 0.295 0.76766
  > 14: d_y2_d_x1 0.1103218 0.1084386 1.017 0.30898
  > 14: d_y3_d_x1 -0.1487970 0.1464968 -1.016 0.30977
  > 14: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 14: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 14: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 15: d_y1_d_x1 0.0374443 0.1341184 0.279 0.78010
  > 15: d_y2_d_x1 0.0966391 0.0989303 0.977 0.32865
  > 15: d_y3_d_x1 -0.1367612 0.1410156 -0.970 0.33213
  > 15: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 15: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 15: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 16: d_y1_d_x1 0.3364459 0.2011069 1.673 0.09433 .
  > 16: d_y2_d_x1 0.3738146 0.2475442 1.510 0.13102
  > 16: d_y3_d_x1 -0.3107708 0.2873205 -1.082 0.27942
  > 16: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 16: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 16: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 17: d_y1_d_x1 0.3723866 0.2229194 1.670 0.09482 .
  > 17: d_y2_d_x1 0.3359156 0.2092497 1.605 0.10842
  > 17: d_y3_d_x1 -0.2875002 0.2613449 -1.100 0.27130
  > 17: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 17: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 17: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 18: d_y1_d_x1 0.2663399 0.1979782 1.345 0.17853
  > 18: d_y2_d_x1 0.4021326 0.3063279 1.313 0.18927
  > 18: d_y3_d_x1 -0.3302751 0.3090795 -1.069 0.28526
  > 18: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 18: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 18: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 19: d_y1_d_x1 0.4376430 0.3057075 1.432 0.15227
  > 19: d_y2_d_x1 0.1696360 0.1652745 1.026 0.30471
  > 19: d_y3_d_x1 -0.1789464 0.1684535 -1.062 0.28810
  > 19: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 19: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 19: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 20: d_y1_d_x1 0.2241586 0.2203192 1.017 0.30895
  > 20: d_y2_d_x1 0.0042037 0.0189008 0.222 0.82400
  > 20: d_y3_d_x1 -0.0149535 0.0440352 -0.340 0.73417
  > 20: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 20: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 20: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 21: d_y1_d_x1 0.1243686 0.2174053 0.572 0.56728
  > 21: d_y2_d_x1 0.2889116 0.2488541 1.161 0.24565
  > 21: d_y3_d_x1 -0.2730094 0.2369908 -1.152 0.24933
  > 21: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 21: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 21: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 22: d_y1_d_x1 0.0007459 0.0072977 0.102 0.91859
  > 22: d_y2_d_x1 0.0006998 0.0029467 0.237 0.81229
  > 22: d_y3_d_x1 -0.0057940 0.0229384 -0.253 0.80058
  > 22: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 22: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 22: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 23: d_y1_d_x1 0.4382229 0.3090674 1.418 0.15622
  > 23: d_y2_d_x1 0.1426446 0.1604881 0.889 0.37410
  > 23: d_y3_d_x1 -0.1589837 0.1565509 -1.016 0.30985
  > 23: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 23: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 23: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 24: d_y1_d_x1 0.0830536 0.1955292 0.425 0.67101
  > 24: d_y2_d_x1 0.2095390 0.1829217 1.146 0.25200
  > 24: d_y3_d_x1 -0.2234026 0.1914376 -1.167 0.24322
  > 24: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 24: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 24: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 25: d_y1_d_x1 0.0865904 0.1983706 0.437 0.66247
  > 25: d_y2_d_x1 0.2172090 0.1891481 1.148 0.25082
  > 25: d_y3_d_x1 -0.2285086 0.1954931 -1.169 0.24245
  > 25: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 25: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 25: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 26: d_y1_d_x1 0.4378383 0.3091474 1.416 0.15669
  > 26: d_y2_d_x1 0.1365703 0.1589866 0.859 0.39034
  > 26: d_y3_d_x1 -0.1543408 0.1539501 -1.003 0.31608
  > 26: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 26: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 26: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 27: d_y1_d_x1 0.1729600 0.2202574 0.785 0.43230
  > 27: d_y2_d_x1 0.3543882 0.3000078 1.181 0.23750
  > 27: d_y3_d_x1 -0.3091116 0.2788965 -1.108 0.26772
  > 27: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 27: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 27: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 28: d_y1_d_x1 0.0257894 0.1073759 0.240 0.81019
  > 28: d_y2_d_x1 0.0644472 0.0761722 0.846 0.39751
  > 28: d_y3_d_x1 -0.1055972 0.1270193 -0.831 0.40578
  > 28: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 28: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 28: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 29: d_y1_d_x1 0.3029664 0.1942862 1.559 0.11891
  > 29: d_y2_d_x1 0.3943070 0.2803474 1.406 0.15958
  > 29: d_y3_d_x1 -0.3239068 0.3023941 -1.071 0.28411
  > 29: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 29: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 29: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 30: d_y1_d_x1 0.2118732 0.2124133 0.997 0.31854
  > 30: d_y2_d_x1 0.3863182 0.3169271 1.219 0.22286
  > 30: d_y3_d_x1 -0.3247953 0.2998024 -1.083 0.27865
  > 30: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 30: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 30: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 31: d_y1_d_x1 0.2527667 0.2011528 1.257 0.20890
  > 31: d_y2_d_x1 0.4012708 0.3124087 1.284 0.19899
  > 31: d_y3_d_x1 -0.3305991 0.3089367 -1.070 0.28457
  > 31: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 31: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 31: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 32: d_y1_d_x1 0.3573774 0.2118731 1.687 0.09165 .
  > 32: d_y2_d_x1 0.3539601 0.2250456 1.573 0.11576
  > 32: d_y3_d_x1 -0.2985441 0.2734764 -1.092 0.27498
  > 32: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 32: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 32: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 33: d_y1_d_x1 0.1516903 0.2212870 0.685 0.49303
  > 33: d_y2_d_x1 0.3293285 0.2816236 1.169 0.24225
  > 33: d_y3_d_x1 -0.2958065 0.2625654 -1.127 0.25991
  > 33: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 33: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 33: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 34: d_y1_d_x1 0.4109694 0.2640717 1.556 0.11964
  > 34: d_y2_d_x1 0.2693770 0.1773855 1.519 0.12886
  > 34: d_y3_d_x1 -0.2461064 0.2199809 -1.119 0.26324
  > 34: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 34: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 34: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 35: d_y1_d_x1 0.1897255 0.2176062 0.872 0.38328
  > 35: d_y2_d_x1 0.3703130 0.3099381 1.195 0.23217
  > 35: d_y3_d_x1 -0.3171667 0.2893553 -1.096 0.27303
  > 35: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 35: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 35: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 36: d_y1_d_x1 0.3438410 0.2043023 1.683 0.09237 .
  > 36: d_y2_d_x1 0.3674585 0.2396459 1.533 0.12519
  > 36: d_y3_d_x1 -0.3068357 0.2828260 -1.085 0.27797
  > 36: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 36: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 36: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 37: d_y1_d_x1 0.4348121 0.3071966 1.415 0.15695
  > 37: d_y2_d_x1 0.1159358 0.1523350 0.761 0.44662
  > 37: d_y3_d_x1 -0.1380751 0.1452016 -0.951 0.34164
  > 37: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 37: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 37: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 38: d_y1_d_x1 0.3693685 0.2204735 1.675 0.09387 .
  > 38: d_y2_d_x1 0.3398245 0.2123516 1.600 0.10953
  > 38: d_y3_d_x1 -0.2898933 0.2639391 -1.098 0.27206
  > 38: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 38: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 38: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 39: d_y1_d_x1 0.1625955 0.2211322 0.735 0.46217
  > 39: d_y2_d_x1 0.3428643 0.2918528 1.175 0.24008
  > 39: d_y3_d_x1 -0.3030787 0.2713560 -1.117 0.26404
  > 39: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 39: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 39: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 40: d_y1_d_x1 0.4310083 0.3036672 1.419 0.15580
  > 40: d_y2_d_x1 0.1021310 0.1462658 0.698 0.48502
  > 40: d_y3_d_x1 -0.1266963 0.1392940 -0.910 0.36305
  > 40: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 40: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 40: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 41: d_y1_d_x1 0.4383603 0.3088804 1.419 0.15584
  > 41: d_y2_d_x1 0.1464601 0.1613405 0.908 0.36400
  > 41: d_y3_d_x1 -0.1618696 0.1581962 -1.023 0.30620
  > 41: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 41: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 41: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 42: d_y1_d_x1 0.3938190 0.2435193 1.617 0.10584
  > 42: d_y2_d_x1 0.3033933 0.1892822 1.603 0.10897
  > 42: d_y3_d_x1 -0.2674705 0.2404638 -1.112 0.26600
  > 42: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 42: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 42: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 43: d_y1_d_x1 0.3189542 0.1960673 1.627 0.10379
  > 43: d_y2_d_x1 0.3861652 0.2654683 1.455 0.14576
  > 43: d_y3_d_x1 -0.3185505 0.2962658 -1.075 0.28228
  > 43: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 43: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 43: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 44: d_y1_d_x1 0.0971787 0.2056705 0.472 0.63657
  > 44: d_y2_d_x1 0.2391890 0.2072537 1.154 0.24846
  > 44: d_y3_d_x1 -0.2427451 0.2075624 -1.170 0.24220
  > 44: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 44: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 44: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 45: d_y1_d_x1 0.4025241 0.2750818 1.463 0.14339
  > 45: d_y2_d_x1 0.0571279 0.1134119 0.504 0.61446
  > 45: d_y3_d_x1 -0.0855674 0.1170016 -0.731 0.46457
  > 45: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 45: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 45: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 46: d_y1_d_x1 0.1023270 0.2086179 0.490 0.62378
  > 46: d_y2_d_x1 0.2493443 0.2157179 1.156 0.24773
  > 46: d_y3_d_x1 -0.2491363 0.2133487 -1.168 0.24291
  > 46: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 46: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 46: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 47: d_y1_d_x1 0.1866549 0.2239000 0.834 0.40448
  > 47: d_y2_d_x1 0.0021906 0.0112184 0.195 0.84518
  > 47: d_y3_d_x1 -0.0097002 0.0326790 -0.297 0.76660
  > 47: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 47: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 47: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 48: d_y1_d_x1 0.3664196 0.2453495 1.493 0.13532
  > 48: d_y2_d_x1 0.0330393 0.0830093 0.398 0.69062
  > 48: d_y3_d_x1 -0.0592154 0.0986854 -0.600 0.54848
  > 48: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 48: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 48: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  > 49: d_y1_d_x1 0.1856984 0.2183644 0.850 0.39510
  > 49: d_y2_d_x1 0.3667908 0.3079205 1.191 0.23358
  > 49: d_y3_d_x1 -0.3154174 0.2870419 -1.099 0.27183
  > 49: d_y1_d_x2 -0.2446225 0.1490534 -1.641 0.10076
  > 49: d_y2_d_x2 -0.5617320 0.1871985 -3.001 0.00269 **
  > 49: d_y3_d_x2 0.4642965 0.2172141 2.138 0.03256 *
  > 50: d_y1_d_x1 0.0417272 0.1424363 0.293 0.76956
  > 50: d_y2_d_x1 0.1082331 0.1069829 1.012 0.31169
  > 50: d_y3_d_x1 -0.1469973 0.1456618 -1.009 0.31289
  > 50: d_y1_d_x2 -0.4318058 0.3203313 -1.348 0.17766
  > 50: d_y2_d_x2 -0.3051328 0.2188714 -1.394 0.16328
  > 50: d_y3_d_x2 0.2940685 0.1215225 2.420 0.01553 *
  1831,1832c1833,1834
  < 50 0.04707121 0.1641021 -0.09795955 -0.08750418 -0.4510703 0.3323667
  < mean 0.24176261 0.2063106 -0.14712190 -0.16157088 -0.3365191 0.3411523
  ---
  > 50 0.04172722 0.1082331 -0.1469973 -0.1058940 -0.3177685 0.3395679
  > mean 0.25305226 0.2459298 -0.2259482 -0.2385306 -0.3379456 0.3143112
  1839,1840c1841,1842
  < 50 0.03575932 -0.006530021 0.03205388 -0.03682398 0.005532956 -0.046028998
  < mean 0.05181638 0.005544625 0.02686191 0.01210022 -0.000336828 0.004745826
  ---
  > 50 0.02028810 -0.002813578 -0.001572159 -0.031743940 0.0142068618 0.002395896
  > mean 0.02205528 -0.007930409 -0.001681515 0.002256626 0.0008256098 0.002957937
  1845,1846c1847,1848
  < 50 -0.006530021 0.03134826 -0.0002233093 0.005914285 -0.03226807
  < mean 0.005544625 0.02149469 0.0008032002 -0.001043346 0.00447336
  ---
  > 50 -0.002813578 0.01144533 -0.006468166 0.005122685 -0.020284870
  > mean -0.007930409 0.02591722 0.006303994 -0.001479403 0.002586458
  1848,1849c1850,1851
  < 50 -0.001776241
  < mean -0.001548714
  ---
  > 50 0.003782239
  > mean -0.005399069
  1853,1855c1855,1860
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 0.03205388 -0.0002233093 0.05534519 -0.034488276 -0.004891002 -0.07312979
  < mean 0.02686191 0.0008032002 0.05001475 0.004678095 -0.002444621 0.01524101
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 -0.001572159 -0.006468166 0.02121735 0.002631792 0.008918785
  > mean -0.001681515 0.006303994 0.03729586 -0.001273756 -0.002646520
  > d_y3_d_x2
  > 50 -0.015842908
  > mean 0.002036567
  1859,1861c1864,1869
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 -0.03682398 0.005914285 -0.034488276 0.03859269 -0.0043056620 0.050012024
  < mean 0.01210022 -0.001043346 0.004678095 0.01004587 -0.0004817601 0.002145354
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 -0.031743940 0.005122685 0.002631792 0.050169955 -0.0241270415
  > mean 0.002256626 -0.001479403 -0.001273756 0.005158698 0.0005432138
  > d_y3_d_x2
  > 50 -0.003698285
  > mean 0.001211321
  1866,1867c1874,1875
  < 50 0.005532956 -0.03226807 -0.004891002 -0.0043056620 0.045991637
  < mean -0.000336828 0.00447336 -0.002444621 -0.0004817601 0.003798508
  ---
  > 50 0.0142068618 -0.020284870 0.008918785 -0.0241270415 0.046770483
  > mean 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.001989406
  1869,1870c1877,1878
  < 50 0.0072088226
  < mean -0.0002454255
  ---
  > 50 -0.004816119
  > mean -0.001093343
  1874,1876c1882,1887
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 50 -0.046028998 -0.001776241 -0.07312979 0.050012024 0.0072088226 0.10393879
  < mean 0.004745826 -0.001548714 0.01524101 0.002145354 -0.0002454255 0.01075067
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  > 50 0.002395896 0.003782239 -0.015842908 -0.003698285 -0.004816119
  > mean 0.002957937 -0.005399069 0.002036567 0.001211321 -0.001093343
  > d_y3_d_x2
  > 50 0.019248488
  > mean 0.005235179
  1880,1885c1891,1896
  < d_y1_d_x1 0.051816382 0.0055446252 0.0268619052 0.0121002185 -0.0003368280
  < d_y2_d_x1 0.005544625 0.0214946852 0.0008032002 -0.0010433459 0.0044733598
  < d_y3_d_x1 0.026861905 0.0008032002 0.0500147542 0.0046780950 -0.0024446208
  < d_y1_d_x2 0.012100219 -0.0010433459 0.0046780950 0.0100458690 -0.0004817601
  < d_y2_d_x2 -0.000336828 0.0044733598 -0.0024446208 -0.0004817601 0.0037985082
  < d_y3_d_x2 0.004745826 -0.0015487143 0.0152410134 0.0021453538 -0.0002454255
  ---
  > d_y1_d_x1 0.0220552769 -0.007930409 -0.001681515 0.0022566258 0.0008256098
  > d_y2_d_x1 -0.0079304093 0.025917223 0.006303994 -0.0014794032 0.0025864581
  > d_y3_d_x1 -0.0016815147 0.006303994 0.037295860 -0.0012737564 -0.0026465199
  > d_y1_d_x2 0.0022566258 -0.001479403 -0.001273756 0.0051586985 0.0005432138
  > d_y2_d_x2 0.0008256098 0.002586458 -0.002646520 0.0005432138 0.0019894058
  > d_y3_d_x2 0.0029579367 -0.005399069 0.002036567 0.0012113215 -0.0010933427
  1887,1892c1898,1903
  < d_y1_d_x1 0.0047458263
  < d_y2_d_x1 -0.0015487143
  < d_y3_d_x1 0.0152410134
  < d_y1_d_x2 0.0021453538
  < d_y2_d_x2 -0.0002454255
  < d_y3_d_x2 0.0107506718
  ---
  > d_y1_d_x1 0.002957937
  > d_y2_d_x1 -0.005399069
  > d_y3_d_x1 0.002036567
  > d_y1_d_x2 0.001211321
  > d_y2_d_x2 -0.001093343
  > d_y3_d_x2 0.005235179
  1899,1900c1910,1911
  < 50 -0.09578174 0 0 0.14516394 0 0
  < mean -0.17841253 0 0 0.09173245 0 0
  ---
  > 50 -0.08621442 0 0 0.18081872 0 0
  > mean -0.11555729 0 0 0.08871062 0 0
  1905,1906c1916,1917
  < 50 0.005139274 0 0 0.00000000 0 0
  < mean 0.098175517 0 0 0.04755563 0 0
  ---
  > 50 0.006502259 0 0 0.00000000 0 0
  > mean 0.154762044 0 0 0.06486142 0 0
  1911,1912c1922,1923
  < 50 0.09831238 0 0 -0.04809343 0 0
  < mean -0.01487335 0 0 0.17763149 0 0
  ---
  > 50 0.08849228 0 0 -0.09292049 0 0
  > mean 0.05335740 0 0 0.16351750 0 0
  1917,1918c1928,1929
  < 50 0 -0.19713241 0 0 0.37295749 0
  < mean 0 0.03725597 0 0 -0.04180901 0
  ---
  > 50 0 -0.167907668 0 0 0.371170187 0
  > mean 0 0.003481499 0 0 -0.001743184 0
  1923,1924c1934,1935
  < 50 0 0.08632207 0 0 0.00000000 0
  < mean 0 0.23614993 0 0 0.01877806 0
  ---
  > 50 0 0.03369144 0 0 0.00000000 0
  > mean 0 0.22633598 0 0 0.04748192 0
  1929,1930c1940,1941
  < 50 0 0.20234082 0 0 -0.09939672 0
  < mean 0 0.06997882 0 0 0.09684339 0
  ---
  > 50 0 0.1723439 0 0 -0.17954595 0
  > mean 0 0.0907140 0 0 0.08276367 0
  1935,1936c1946,1947
  < 50 0 0 -0.12780455 0 0 0.34705521
  < mean 0 0 0.01584529 0 0 -0.03028609
  ---
  > 50 0 0 -0.18169300 0 0 0.30059023
  > mean 0 0 0.01121233 0 0 -0.01301531
  1941,1942c1952,1953
  < 50 0 0 0.1033959 0 0 0.00000000
  < mean 0 0 0.2504338 0 0 0.01919128
  ---
  > 50 0 0 0.08789435 0 0 0.00000000
  > mean 0 0 0.26243481 0 0 0.03619013
  1947,1948c1958,1959
  < 50 0 0 0.13118126 0 0 -0.1251915
  < mean 0 0 0.05550565 0 0 0.1054357
  ---
  > 50 0 0 0.18649349 0 0 -0.03897388
  > mean 0 0 0.08964001 0 0 0.12386551
  1970,1975c1981,1986
  < d_y1_d_x1 -0.17841253 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 0.09173245 0.04755563 0.17763149 0.00000000 0.00000000 0.00000000
  < d_y2_d_x2 0.00000000 0.00000000 0.00000000 -0.04180901 0.01877806 0.09684339
  < 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
  1979c1990
  < d_y3_d_x1 0.01584529 0.25043378 0.05550565 0 0 0
  ---
  > d_y3_d_x1 0.01121233 0.26243481 0.08964001 0 0 0
  1982c1993
  < d_y3_d_x2 -0.03028609 0.01919128 0.10543567 0 0 0
  ---
  > d_y3_d_x2 -0.01301531 0.03619013 0.12386551 0 0 0
  1988,1999c1999,2010
  < 50: d_y1_d_x1 0.047071 0.189101 0.2489 0.803422
  < 50: d_y2_d_x1 0.164102 0.177054 0.9268 0.354007
  < 50: d_y3_d_x1 -0.097960 0.235256 -0.4164 0.677120
  < 50: d_y1_d_x2 -0.087504 0.196450 -0.4454 0.656011
  < 50: d_y2_d_x2 -0.451070 0.214457 -2.1033 0.035438 *
  < 50: d_y3_d_x2 0.332367 0.322395 1.0309 0.302574
  < 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 0.100229 -1.6120 0.106958
  < mean: d_y2_d_x2 -0.336519 0.061632 -5.4601 4.758e-08 ***
  < mean: d_y3_d_x2 0.341152 0.103685 3.2903 0.001001 **
  ---
  > 50: d_y1_d_x1 0.041727 0.142436 0.2930 0.7695577
  > 50: d_y2_d_x1 0.108233 0.106983 1.0117 0.3116880
  > 50: d_y3_d_x1 -0.146997 0.145662 -1.0092 0.3128935
  > 50: d_y1_d_x2 -0.105894 0.223987 -0.4728 0.6363775
  > 50: d_y2_d_x2 -0.317768 0.216265 -1.4693 0.1417382
  > 50: d_y3_d_x2 0.339568 0.138739 2.4475 0.0143838 *
  > mean: d_y1_d_x1 0.253052 0.148510 1.7039 0.0883925 .
  > mean: d_y2_d_x1 0.245930 0.160988 1.5276 0.1266055
  > mean: d_y3_d_x1 -0.225948 0.193121 -1.1700 0.2420090
  > mean: d_y1_d_x2 -0.238531 0.071824 -3.3210 0.0008968 ***
  > mean: d_y2_d_x2 -0.337946 0.044603 -7.5768 3.542e-14 ***
  > mean: d_y3_d_x2 0.314311 0.072355 4.3440 1.399e-05 ***
  2007,2012c2018,2023
  < d_y1_d_x1 0.2341 0.2626 0.892 0.37254
  < d_y2_d_x1 0.3043 0.2061 1.476 0.13983
  < d_y3_d_x1 -0.2224 0.3037 -0.732 0.46411
  < d_y1_d_x2 -0.1561 0.1528 -1.022 0.30677
  < d_y2_d_x2 -0.5314 0.1830 -2.904 0.00369 **
  < d_y3_d_x2 0.5387 0.3135 1.718 0.08575 .
  ---
  > d_y1_d_x1 0.2931 0.1944 1.508 0.1315
  > d_y2_d_x1 0.3979 0.2886 1.379 0.1680
  > d_y3_d_x1 -0.3264 0.3052 -1.070 0.2848
  > d_y1_d_x2 -0.2967 0.1257 -2.361 0.0183 *
  > d_y2_d_x2 -0.6194 0.2474 -2.504 0.0123 *
  > d_y3_d_x2 0.4942 0.2616 1.890 0.0588 .
  2025,2074c2036,2085
  < 1 0.237948601 5.209182e-02 -0.385563554 -0.3339732476 -9.919227e-02
  < 2 0.163459528 2.956930e-01 -0.261033470 -0.2710166959 -4.158830e-01
  < 3 0.335770813 2.837540e-01 -0.261474881 -0.0895457872 -5.538163e-01
  < 4 0.477102444 1.930096e-02 -0.021110217 -0.2516150446 -7.911699e-02
  < 5 0.132357415 2.917055e-01 -0.226042621 -0.0197854043 -5.024037e-01
  < 6 0.484424012 1.138052e-02 -0.011739162 -0.2757779610 -4.970241e-02
  < 7 0.015609743 4.052613e-02 -0.027259431 -0.0009687929 -2.217208e-02
  < 8 0.331384783 2.971380e-02 -0.344602337 -0.3739983279 -4.671881e-02
  < 9 0.202556381 2.652770e-01 -0.249852121 -0.3073750679 -3.464924e-01
  < 10 0.227502144 2.430347e-01 -0.237888049 -0.3268870407 -3.038976e-01
  < 11 0.100501787 1.996777e-01 -0.213170946 -0.0141148846 -5.029095e-01
  < 12 0.071326310 3.093958e-01 -0.225118190 -0.0069933038 -4.414619e-01
  < 13 0.029025951 3.203844e-01 -0.213997503 -0.0019419181 -5.148046e-01
  < 14 0.040230739 1.451706e-01 -0.094114140 -0.0036213538 -1.317432e-01
  < 15 0.102360473 1.953716e-01 -0.033443765 -0.1328637156 -5.252904e-01
  < 16 0.252126094 2.202077e-01 -0.222969734 -0.0591185193 -5.310845e-01
  < 17 0.293313272 1.810601e-01 -0.192808800 -0.0790008821 -4.737400e-01
  < 18 0.367726015 2.725465e-01 -0.256514911 -0.4433429778 -4.267679e-01
  < 19 0.413701862 7.124159e-02 -0.083148934 -0.1654366055 -2.377473e-01
  < 20 0.455817325 1.677120e-04 -0.005293063 -0.2080896035 -7.193636e-05
  < 21 0.205214789 2.691854e-01 -0.226964221 -0.2794719343 -5.376242e-01
  < 22 0.002734296 1.933737e-03 -0.001687782 -0.0071993032 -1.002043e-02
  < 23 0.430217379 5.764147e-02 -0.067132653 -0.3660046068 -4.885980e-02
  < 24 0.065827300 2.249876e-01 -0.151196931 -0.1082764434 -5.060823e-01
  < 25 0.068000354 2.300003e-01 -0.155199983 -0.1114470581 -5.112703e-01
  < 26 0.433802720 1.046374e-02 -0.183099496 -0.3643619942 -1.181716e-02
  < 27 0.122132361 2.901549e-01 -0.219878165 -0.0175455156 -4.790363e-01
  < 28 0.028555790 9.663640e-02 -0.062658335 -0.0022540883 -7.280186e-02
  < 29 0.217928774 2.516611e-01 -0.242923102 -0.3199244461 -3.198631e-01
  < 30 0.148553371 2.902754e-01 -0.232923218 -0.0235865442 -5.311578e-01
  < 31 0.056832531 2.897002e-01 -0.237999426 -0.0055981747 -5.832407e-01
  < 32 0.275400905 4.249574e-02 -0.382503443 -0.3550491520 -7.539446e-02
  < 33 0.236105595 2.843638e-01 -0.244274599 -0.0469166507 -4.405031e-01
  < 34 0.136786196 1.300153e-01 -0.169995308 -0.0234969023 -3.776785e-01
  < 35 0.133303657 2.917442e-01 -0.226537913 -0.0199988711 -5.043546e-01
  < 36 0.458747430 2.204993e-01 -0.217557920 -0.1789450786 -5.393061e-01
  < 37 0.445745734 4.498101e-02 -0.052106489 -0.2006892204 -1.630679e-01
  < 38 0.289613261 1.845895e-01 -0.195742387 -0.3612873098 -2.083524e-01
  < 39 0.115366049 2.878609e-01 -0.214925382 -0.1769033171 -5.289248e-01
  < 40 0.453502177 7.276832e-03 -0.138948785 -0.3523105917 -7.384951e-03
  < 41 0.427950075 1.143812e-02 -0.195341973 -0.3669728937 -1.326983e-02
  < 42 0.321442859 1.543479e-01 -0.169330729 -0.3717284659 -1.651663e-01
  < 43 0.233858992 2.372180e-01 -0.234296837 -0.3312623898 -2.934677e-01
  < 44 0.074498258 2.435026e-01 -0.166418824 -0.0085027101 -3.086721e-01
  < 45 0.476513820 1.982993e-02 -0.021744718 -0.2502367209 -8.100277e-02
  < 46 0.077659343 2.493065e-01 -0.171482436 -0.1253690020 -5.279846e-01
  < 47 0.435951664 7.923282e-05 -0.002696707 -0.1831056270 -2.969716e-05
  < 48 0.484807987 1.868755e-03 -0.044845305 -0.2995115374 -1.325704e-03
  < 49 0.130593018 2.915882e-01 -0.225086115 -0.0193901823 -4.986721e-01
  < 50 0.039712638 1.431535e-01 -0.092775365 -0.0692329992 -3.856274e-01
  ---
  > 1 0.3232361962 0.3432683006 -0.355048446 -0.459509098 -0.4313201492
  > 2 0.1153483935 0.3596761868 -0.361870523 -0.229189942 -0.5342318452
  > 3 0.2375484576 0.3307600421 -0.361244529 -0.089536451 -0.4547362676
  > 4 0.4122503068 0.0694645017 -0.053904996 -0.472083947 -0.2122800739
  > 5 0.1847060251 0.3084425402 -0.343223755 -0.060445211 -0.3646545059
  > 6 0.3787985991 0.0477528062 -0.033663433 -0.474756965 -0.1554861558
  > 7 0.0100311239 0.0209668055 -0.053506160 -0.001106247 -0.0060166004
  > 8 0.4110128568 0.1322373739 -0.403457904 -0.470548414 -0.1341642415
  > 9 0.1474786224 0.3575139395 -0.360949264 -0.264433849 -0.4844316876
  > 10 0.3116938786 0.3484655128 -0.361307997 -0.453660745 -0.4473769719
  > 11 0.2058976401 0.3200081428 -0.328883694 -0.079864895 -0.5893156417
  > 12 0.1177334095 0.2436538298 -0.287657466 -0.031148920 -0.2231415107
  > 13 0.1471332486 0.3159154131 -0.349075440 -0.039228803 -0.3336039182
  > 14 0.0406336000 0.0999068773 -0.152735168 -0.007155819 -0.0531209314
  > 15 0.0358197254 0.0880153046 -0.139996990 -0.091958139 -0.2591680623
  > 16 0.1882725183 0.3350175752 -0.342159788 -0.067926448 -0.5870797947
  > 17 0.3833567161 0.2924153584 -0.314583141 -0.212937647 -0.5602548018
  > 18 0.3979220186 0.2666187493 -0.404805015 -0.513151557 -0.3701386058
  > 19 0.4437521979 0.1791338917 -0.160502351 -0.532987886 -0.4316406791
  > 20 0.2259756660 0.0022584118 -0.019229939 -0.089444084 -0.0005387236
  > 21 0.1201169118 0.2467991134 -0.290399333 -0.244509996 -0.5058124538
  > 22 0.0007497926 0.0006978391 -0.005797477 -0.002951779 -0.0038207794
  > 23 0.4535483129 0.0631045466 -0.259933151 -0.387912218 -0.0460271705
  > 24 0.0233590201 0.2044569486 -0.233822492 -0.072712001 -0.4720414686
  > 25 0.1747911246 0.1895312592 -0.261808609 -0.302155599 -0.4395843931
  > 26 0.4530947663 0.0604711728 -0.252242094 -0.382153939 -0.0433433667
  > 27 0.1689887911 0.2972946593 -0.333810139 -0.052838666 -0.3336920584
  > 28 0.0247529328 0.0595893814 -0.107382268 -0.003670897 -0.0251760065
  > 29 0.3008617678 0.2048889670 -0.428116555 -0.447474248 -0.2665140730
  > 30 0.2090453560 0.3214423437 -0.354022707 -0.073180136 -0.4091058932
  > 31 0.2455445912 0.3606360268 -0.379506727 -0.091829433 -0.5089267097
  > 32 0.2072019349 0.3187872119 -0.327786882 -0.311947694 -0.3715008229
  > 33 0.1474382857 0.2781589528 -0.317490037 -0.043152940 -0.2887484021
  > 34 0.4881154711 0.2484746725 -0.250623067 -0.449373107 -0.5284208167
  > 35 0.1861474779 0.3093531933 -0.343988258 -0.061166505 -0.3674094305
  > 36 0.4662923136 0.3127833842 -0.339277170 -0.321772793 -0.5593117663
  > 37 0.4496318140 0.0515675468 -0.224907158 -0.429079174 -0.1533983305
  > 38 0.3756418193 0.3074074008 -0.313706240 -0.474844440 -0.3482839442
  > 39 0.0638654116 0.3176168542 -0.326350396 -0.154807067 -0.5696465233
  > 40 0.4453405495 0.0456337187 -0.205495492 -0.344289600 -0.0292378379
  > 41 0.4537160101 0.1514742551 -0.139238355 -0.391407408 -0.1245240635
  > 42 0.4031850053 0.1389606133 -0.411561969 -0.472975838 -0.1445333297
  > 43 0.3187527097 0.1953852747 -0.433867721 -0.457330982 -0.2461844889
  > 44 0.0933321287 0.2073153800 -0.255570394 -0.022420511 -0.1675168917
  > 45 0.4138250511 0.0262438003 -0.134437144 -0.471512840 -0.0877855065
  > 46 0.0320414287 0.2395251689 -0.262837614 -0.092981737 -0.5147062188
  > 47 0.1877038486 0.0012227798 -0.011951812 -0.066531222 -0.0002453633
  > 48 0.3747295025 0.0156619839 -0.089368038 -0.219843609 -0.0068112323
  > 49 0.1820121476 0.3066912948 -0.341751326 -0.059108011 -0.3594666853
  > 50 0.1059631810 0.0980984696 -0.167108498 -0.194204529 -0.2810062303
  2076,2125c2087,2136
  < 1 0.621982377
  < 2 0.504193930
  < 3 0.537158465
  < 4 0.087772555
  < 5 0.460696582
  < 6 0.053269553
  < 7 0.032232221
  < 8 0.419964330
  < 9 0.431957004
  < 10 0.381902273
  < 11 0.513569144
  < 12 0.408692466
  < 13 0.422537012
  < 14 0.144539515
  < 15 0.128709154
  < 16 0.519165598
  < 17 0.478327354
  < 18 0.467637683
  < 19 0.264264707
  < 20 0.002337889
  < 21 0.575125038
  < 22 0.008812482
  < 23 0.046755317
  < 24 0.452619350
  < 25 0.460887669
  < 26 0.152591188
  < 27 0.440473252
  < 28 0.087610658
  < 29 0.401080569
  < 30 0.486618332
  < 31 0.517545455
  < 32 0.552980713
  < 33 0.457886926
  < 34 0.442249007
  < 35 0.462411008
  < 36 0.512614522
  < 37 0.184008480
  < 38 0.258880373
  < 39 0.551777607
  < 40 0.104709232
  < 41 0.167222088
  < 42 0.200311877
  < 43 0.369121118
  < 44 0.298512541
  < 45 0.089982600
  < 46 0.492360418
  < 47 0.001136141
  < 48 0.025623065
  < 49 0.457430312
  < 50 0.312100195
  ---
  > 1 0.360815947
  > 2 0.497693370
  > 3 0.453818047
  > 4 0.175490813
  > 5 0.390535156
  > 6 0.120618004
  > 7 0.028391238
  > 8 0.378315289
  > 9 0.445348474
  > 10 0.379760171
  > 11 0.524477068
  > 12 0.282396164
  > 13 0.371331912
  > 14 0.112653252
  > 15 0.334504219
  > 16 0.522126289
  > 17 0.522184293
  > 18 0.605611100
  > 19 0.385355560
  > 20 0.006078859
  > 21 0.528322176
  > 22 0.022043552
  > 23 0.167180007
  > 24 0.474967844
  > 25 0.512488332
  > 26 0.159487780
  > 27 0.368015826
  > 28 0.070192644
  > 29 0.574533205
  > 30 0.422114838
  > 31 0.493178952
  > 32 0.328691011
  > 33 0.334349642
  > 34 0.495369678
  > 35 0.392516250
  > 36 0.542851700
  > 37 0.512469883
  > 38 0.267731303
  > 39 0.541591920
  > 40 0.117148027
  > 41 0.061954778
  > 42 0.398801119
  > 43 0.554039712
  > 44 0.234531669
  > 45 0.362288294
  > 46 0.506043388
  > 47 0.003514004
  > 48 0.038239307
  > 49 0.386795047
  > 50 0.384142824
  2135c2146
  < 1 0.2084098 0.2600454 -0.247454 -0.1534087 -0.4659631 0.5140027
  ---
  > 1 0.2898572 0.3558136 -0.3706332 -0.2927278 -0.570811 0.5331238
  2140c2151
  < 1 0.02133708 -0.005429203 0.005264673 0.006857503 -0.002647638 -0.01621236
  ---
  > 1 0.02917825 -0.01501905 -0.02193211 -0.01396746 0.008000066 0.01931686
  2145c2156
  < 1 -0.005429203 0.04213257 0.007828535 -0.003427978 -0.001637479 0.013437
  ---
  > 1 -0.01501905 0.05320172 0.0319124 0.01182735 -0.0241312 -0.03099196
  2150c2161
  < 1 0.005264673 0.007828535 0.05553577 -0.007792565 0.01148577 -0.004437325
  ---
  > 1 -0.02193211 0.0319124 0.1246049 0.0336234 -0.02175698 -0.07938726
  2155c2166
  < 1 0.006857503 -0.003427978 -0.007792565 0.03565768 -6.475259e-05 -0.03984282
  ---
  > 1 -0.01396746 0.01182735 0.0336234 0.02911258 -0.007133504 -0.02753816
  2160c2171
  < 1 -0.002647638 -0.001637479 0.01148577 -6.475259e-05 0.07722235 -0.007582863
  ---
  > 1 0.008000066 -0.0241312 -0.02175698 -0.007133504 0.06178181 -0.01312535
  2165c2176
  < 1 -0.01621236 0.013437 -0.004437325 -0.03984282 -0.007582863 0.1581308
  ---
  > 1 0.01931686 -0.03099196 -0.07938726 -0.02753816 -0.01312535 0.1127387
  2169,2174c2180,2185
  < d_y1_d_x1 0.021337080 -0.005429203 0.005264673 6.857503e-03 -2.647638e-03
  < d_y2_d_x1 -0.005429203 0.042132570 0.007828535 -3.427978e-03 -1.637479e-03
  < d_y3_d_x1 0.005264673 0.007828535 0.055535771 -7.792565e-03 1.148577e-02
  < d_y1_d_x2 0.006857503 -0.003427978 -0.007792565 3.565768e-02 -6.475259e-05
  < d_y2_d_x2 -0.002647638 -0.001637479 0.011485765 -6.475259e-05 7.722235e-02
  < d_y3_d_x2 -0.016212358 0.013436997 -0.004437325 -3.984282e-02 -7.582863e-03
  ---
  > d_y1_d_x1 0.029178251 -0.01501905 -0.02193211 -0.013967456 0.008000066
  > d_y2_d_x1 -0.015019052 0.05320172 0.03191240 0.011827349 -0.024131203
  > d_y3_d_x1 -0.021932109 0.03191240 0.12460488 0.033623397 -0.021756978
  > d_y1_d_x2 -0.013967456 0.01182735 0.03362340 0.029112578 -0.007133504
  > d_y2_d_x2 0.008000066 -0.02413120 -0.02175698 -0.007133504 0.061781812
  > d_y3_d_x2 0.019316858 -0.03099196 -0.07938726 -0.027538160 -0.013125355
  2176,2181c2187,2192
  < d_y1_d_x1 -0.016212358
  < d_y2_d_x1 0.013436997
  < d_y3_d_x1 -0.004437325
  < d_y1_d_x2 -0.039842819
  < d_y2_d_x2 -0.007582863
  < d_y3_d_x2 0.158130833
  ---
  > d_y1_d_x1 0.01931686
  > d_y2_d_x1 -0.03099196
  > d_y3_d_x1 -0.07938726
  > d_y1_d_x2 -0.02753816
  > d_y2_d_x2 -0.01312535
  > d_y3_d_x2 0.11273869
  2186c2197
  < 1 -0.2738331 0.02367391 0.03378244 0.2263094 -0.007787276 -0.001015768
  ---
  > 1 -0.2756386 0.0364304 0.0215077 0.3042895 -0.03868758 -0.0142573
  2191c2202
  < 1 0.04166222 -0.008028791 -0.026931 0.1082857 -0.003680739 -0.0002653314
  ---
  > 1 0.1088669 -0.01679466 -0.04018058 0.1456903 -0.01858427 -0.006984302
  2196c2207
  < 1 -0.04009143 0.003466056 0.004946029 0.1871163 -0.02320055 -0.05139497
  ---
  > 1 -0.04035577 0.005333712 0.003148906 0.2999736 -0.04553434 -0.06522682
  2201c2212
  < 1 0.02428165 0.1467226 0.01349259 -0.00887228 -0.2988131 -0.04048911
  ---
  > 1 0.02941159 0.02467612 0.002072237 -0.02415646 -0.06594595 -0.009121088
  2206c2217
  < 1 -0.006738843 0.3937124 0.03598476 -0.004350242 -0.1436847 -0.01934784
  ---
  > 1 -0.02144958 0.3747664 0.01507689 -0.0111527 -0.03157062 -0.004266047
  2211c2222
  < 1 0.003555034 0.0214814 0.001975426 -0.02130748 0.2866306 0.024988
  ---
  > 1 0.0043061 0.003612788 0.0003033925 -0.04436203 0.3924182 0.01701016
  2216c2227
  < 1 0.05009095 0.0129611 0.1200418 -0.03032019 -0.03740261 -0.2676304
  ---
  > 1 0.03799907 -0.001971137 0.1107795 -0.03651136 -0.0007867617 -0.1786325
  2221c2232
  < 1 -0.01137697 0.03349914 0.4004722 -0.01439 -0.01807597 -0.1282778
  ---
  > 1 -0.02673914 0.01016274 0.3997707 -0.01807419 -0.0004326831 -0.08606061
  2226c2237
  < 1 0.007333729 0.001897612 0.01757511 -0.0407739 0.02265579 0.3210133
  ---
  > 1 0.005563378 -0.0002885908 0.01621904 -0.06032818 0.013186 0.36048
  2231c2242
  < 1 0.037724 -0.04742407 -0.01250633 0.00420114 0.01731094 -0.02735269
  ---
  > 1 0.05911053 -0.1147012 9.086992e-05 0.002458758 0.1113038 -0.03156968
  2236c2247
  < 1 -0.1202531 5.015677e-05 -0.1526501 0.01151066 0.02337364 0.1028253
  ---
  > 1 -0.04741947 -0.002969002 -0.1719091 -0.02077546 0.01841092 0.1872539
  2241c2252
  < 1 0.002095667 0.1956486 -0.1913161 0.00337259 -0.4278885 0.3840171
  ---
  > 1 -0.001938164 0.2156583 -0.2744872 0.00173081 -0.3540987 0.4665918
  2245,2250c2256,2261
  < d_y1_d_x1 -0.273833074 0.0416622161 -0.040091426 0.02428165 -0.006738843
  < d_y2_d_x1 0.023673911 -0.0080287912 0.003466056 0.14672261 0.393712365
  < d_y3_d_x1 0.033782444 -0.0269310012 0.004946029 0.01349259 0.035984756
  < d_y1_d_x2 0.226309358 0.1082856618 0.187116275 -0.00887228 -0.004350242
  < d_y2_d_x2 -0.007787276 -0.0036807390 -0.023200547 -0.29881305 -0.143684728
  < d_y3_d_x2 -0.001015768 -0.0002653314 -0.051394970 -0.04048911 -0.019347843
  ---
  > d_y1_d_x1 -0.27563860 0.108866929 -0.040355771 0.029411588 -0.021449583
  > d_y2_d_x1 0.03643040 -0.016794665 0.005333712 0.024676118 0.374766354
  > d_y3_d_x1 0.02150770 -0.040180579 0.003148906 0.002072237 0.015076895
  > d_y1_d_x2 0.30428951 0.145690299 0.299973601 -0.024156463 -0.011152701
  > d_y2_d_x2 -0.03868758 -0.018584272 -0.045534342 -0.065945950 -0.031570619
  > d_y3_d_x2 -0.01425730 -0.006984302 -0.065226821 -0.009121088 -0.004266047
  2252,2257c2263,2268
  < d_y1_d_x1 0.003555034 0.05009095 -0.01137697 0.007333729 0.03772400
  < d_y2_d_x1 0.021481402 0.01296110 0.03349914 0.001897612 -0.04742407
  < d_y3_d_x1 0.001975426 0.12004179 0.40047217 0.017575111 -0.01250633
  < d_y1_d_x2 -0.021307479 -0.03032019 -0.01439000 -0.040773902 0.00420114
  < d_y2_d_x2 0.286630578 -0.03740261 -0.01807597 0.022655788 0.01731094
  < d_y3_d_x2 0.024988001 -0.26763037 -0.12827784 0.321013296 -0.02735269
  ---
  > d_y1_d_x1 0.0043060996 0.0379990740 -0.0267391390 0.0055633784 5.911053e-02
  > d_y2_d_x1 0.0036127877 -0.0019711371 0.0101627380 -0.0002885908 -1.147012e-01
  > d_y3_d_x1 0.0003033925 0.1107795413 0.3997706693 0.0162190406 9.086992e-05
  > d_y1_d_x2 -0.0443620333 -0.0365113561 -0.0180741893 -0.0603281798 2.458758e-03
  > d_y2_d_x2 0.3924182043 -0.0007867617 -0.0004326831 0.0131859993 1.113038e-01
  > d_y3_d_x2 0.0170101648 -0.1786325472 -0.0860606068 0.3604800463 -3.156968e-02
  2259,2264c2270,2275
  < d_y1_d_x1 -1.202531e-01 0.002095667
  < d_y2_d_x1 5.015677e-05 0.195648575
  < d_y3_d_x1 -1.526501e-01 -0.191316054
  < d_y1_d_x2 1.151066e-02 0.003372590
  < d_y2_d_x2 2.337364e-02 -0.427888524
  < d_y3_d_x2 1.028253e-01 0.384017137
  ---
  > d_y1_d_x1 -0.047419474 -0.001938164
  > d_y2_d_x1 -0.002969002 0.215658265
  > d_y3_d_x1 -0.171909133 -0.274487242
  > d_y1_d_x2 -0.020775461 0.001730810
  > d_y2_d_x2 0.018410922 -0.354098693
  > d_y3_d_x2 0.187253948 0.466591818
  2267,2272c2278,2283
  < d_y1_d_x1 0.2084 0.1461 1.427 0.1536
  < d_y2_d_x1 0.2600 0.2053 1.267 0.2052
  < d_y3_d_x1 -0.2475 0.2357 -1.050 0.2937
  < d_y1_d_x2 -0.1534 0.1888 -0.812 0.4166
  < d_y2_d_x2 -0.4660 0.2779 -1.677 0.0936 .
  < d_y3_d_x2 0.5140 0.3977 1.293 0.1962
  ---
  > d_y1_d_x1 0.2899 0.1708 1.697 0.0897 .
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3706 0.3530 -1.050 0.2937
  > d_y1_d_x2 -0.2927 0.1706 -1.716 0.0862 .
  > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
  > d_y3_d_x2 0.5331 0.3358 1.588 0.1123
  2289,2294c2300,2305
  < d_y1_d_x1 0.2015 0.1658 1.215 0.2242
  < d_y2_d_x1 0.2595 0.2084 1.245 0.2131
  < d_y3_d_x1 -0.2542 0.2539 -1.001 0.3167
  < d_y1_d_x2 -0.1534 0.1888 -0.812 0.4166
  < d_y2_d_x2 -0.4660 0.2779 -1.677 0.0936 .
  < d_y3_d_x2 0.5140 0.3977 1.293 0.1962
  ---
  > d_y1_d_x1 0.2979 0.1878 1.586 0.1128
  > d_y2_d_x1 0.3661 0.2556 1.432 0.1521
  > d_y3_d_x1 -0.3861 0.4035 -0.957 0.3387
  > d_y1_d_x2 -0.2927 0.1706 -1.716 0.0862 .
  > d_y2_d_x2 -0.5708 0.2486 -2.296 0.0216 *
  > d_y3_d_x2 0.5331 0.3358 1.588 0.1123
  2304,2309c2315,2320
  < d_y1_d_x1 0.2084 0.1461 1.427 0.1536
  < d_y2_d_x1 0.2600 0.2053 1.267 0.2052
  < d_y3_d_x1 -0.2475 0.2357 -1.050 0.2937
  < d_y1_d_x2 -0.2322 0.2438 -0.952 0.3409
  < d_y2_d_x2 -0.3032 0.1621 -1.871 0.0614 .
  < d_y3_d_x2 0.3489 0.1533 2.276 0.0228 *
  ---
  > d_y1_d_x1 0.2899 0.1708 1.697 0.0897 .
  > d_y2_d_x1 0.3558 0.2307 1.543 0.1229
  > d_y3_d_x1 -0.3706 0.3530 -1.050 0.2937
  > d_y1_d_x2 -0.3917 0.2790 -1.404 0.1603
  > d_y2_d_x2 -0.4423 0.1491 -2.967 0.0030 **
  > d_y3_d_x2 0.3928 0.1621 2.423 0.0154 *
  2319,2368c2330,2379
  < 1 8.445590e-02 0.233444267 -0.227319312 -1.330769e-01 -0.2868323853
  < 2 5.347037e-02 0.295693021 -0.237547223 -1.013043e-01 -0.4158830252
  < 3 5.210270e-02 0.298027842 -0.237218291 -4.874218e-03 -0.5816125748
  < 4 2.332293e-01 0.019300955 -0.047082702 -5.524686e-02 -0.0791169866
  < 5 3.653476e-02 0.318033987 -0.226042621 -2.782518e-03 -0.5499990733
  < 6 2.501248e-01 0.011380517 -0.031973122 -6.076987e-02 -0.0497024099
  < 7 5.658354e-04 0.069806340 -0.027259431 -3.685235e-06 -0.0454572901
  < 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 -0.230452376 -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 -1.050590e-03 -0.4414619002
  < 13 2.902595e-02 0.320384445 -0.213997503 -1.941918e-03 -0.5148046370
  < 14 4.391820e-03 0.195152346 -0.094114140 -1.061640e-04 -0.1906645111
  < 15 3.666998e-03 0.180526039 -0.085202887 -1.269275e-02 -0.4433544837
  < 16 9.070026e-02 0.220207700 -0.222327111 -1.193118e-02 -0.5310845421
  < 17 1.096284e-01 0.181060095 -0.203462033 -1.628602e-02 -0.4737400240
  < 18 6.165728e-02 0.280587550 -0.237842585 -1.108721e-01 -0.3791929247
  < 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 -0.5563612301
  < 22 9.841767e-06 0.006087276 -0.001687782 -6.163738e-05 -0.0261783062
  < 23 1.872041e-01 0.057641473 -0.101508889 -1.745324e-01 -0.0488597971
  < 24 1.133124e-02 0.274287162 -0.151196931 -3.216076e-02 -0.5536482049
  < 25 1.201904e-02 0.278790163 -0.155199983 -3.370935e-02 -0.5562195925
  < 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 -3.493055e-05 -0.1181186728
  < 29 7.584846e-02 0.251661132 -0.232891623 -1.254053e-01 -0.3198630703
  < 30 4.348922e-02 0.310911906 -0.232923218 -3.660514e-03 -0.5698599936
  < 31 5.683253e-02 0.289700248 -0.237999426 -5.598175e-03 -0.5832407348
  < 32 1.012428e-01 0.198145253 -0.212421575 -1.458127e-01 -0.2289255667
  < 33 2.668470e-02 0.319482975 -0.208986331 -1.703698e-03 -0.5001797033
  < 34 1.367862e-01 0.130015313 -0.169995308 -2.349690e-02 -0.3776785430
  < 35 3.693502e-02 0.317731381 -0.226537913 -2.830508e-03 -0.5514409568
  < 36 9.429412e-02 0.212631870 -0.219142516 -1.271385e-02 -0.5212016365
  < 37 1.993427e-01 0.044981010 -0.085739977 -4.358084e-02 -0.1630679203
  < 38 1.078754e-01 0.184589524 -0.205403429 -1.500932e-01 -0.2083523858
  < 39 2.949709e-02 0.320456216 -0.214925382 -6.711386e-02 -0.5250662847
  < 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 -0.1651662557
  < 43 8.267808e-02 0.237218039 -0.228602739 -1.315588e-01 -0.2934677276
  < 44 1.414884e-02 0.290539271 -0.166418824 -6.394134e-04 -0.3787858558
  < 45 2.322902e-01 0.019829926 -0.048014662 -5.493022e-02 -0.0810027715
  < 46 1.522173e-02 0.295389226 -0.171482436 -4.062316e-02 -0.5615842075
  < 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 -0.5472118019
  < 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
  2370,2419c2381,2430
  < 1 0.438209206
  < 2 0.531816293
  < 3 0.509005967
  < 4 0.156313006
  < 5 0.460696582
  < 6 0.112129863
  < 7 0.032232221
  < 8 0.284120702
  < 9 0.488416671
  < 10 0.453711528
  < 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 0.111261003
  < 27 0.440473252
  < 28 0.087610658
  < 29 0.467394333
  < 30 0.486618332
  < 31 0.517545455
  < 32 0.378907578
  < 33 0.407964996
  < 34 0.442249007
  < 35 0.462411008
  < 36 0.520955318
  < 37 0.258264184
  < 38 0.355317056
  < 39 0.551777607
  < 40 0.079324870
  < 41 0.120828471
  < 42 0.301222679
  < 43 0.444343894
  < 44 0.298512541
  < 45 0.158941204
  < 46 0.492360418
  < 47 0.001143375
  < 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
  2428c2439
  < 1 0.07183765 0.2600454 -0.2348835 -0.0427382 -0.4659631 0.5262253
  ---
  > 1 0.1524699 0.3558136 -0.3596246 -0.1438174 -0.570811 0.5246618
  2433c2444
  < 1 0.3190261 0.02869872 -0.02037448 -0.2423932 0.002705196 0.1558573
  ---
  > 1 0.7075564 -0.04370243 -0.2055559 -0.7499063 0.0007832827 0.2023201
  2438c2449
  < 1 0.02869872 0.04213257 0.01072263 -0.02457683 -0.001637479 0.009115333
  ---
  > 1 -0.04370243 0.05320172 0.03726478 0.04091681 -0.0241312 -0.03729361
  2443c2454
  < 1 -0.02037448 0.01072263 0.05590232 0.01385899 0.00749829 -0.01313291
  ---
  > 1 -0.2055559 0.03726478 0.1611677 0.2190094 -0.02792443 -0.1079185
  2448c2459
  < 1 -0.2423932 -0.02457683 0.01385899 0.1922162 -0.004264433 -0.1339784
  ---
  > 1 -0.7499063 0.04091681 0.2190094 0.8052599 2.871672e-05 -0.2123891
  2453c2464
  < 1 0.002705196 -0.001637479 0.00749829 -0.004264433 0.07722235 0.004457577
  ---
  > 1 0.0007832827 -0.0241312 -0.02792443 2.871672e-05 0.06178181 -0.004283597
  2458c2469
  < 1 0.1558573 0.009115333 -0.01313291 -0.1339784 0.004457577 0.1933658
  ---
  > 1 0.2023201 -0.03729361 -0.1079185 -0.2123891 -0.004283597 0.1320079
  2462,2467c2473,2478
  < d_y1_d_x1 0.319026111 0.028698724 -0.02037448 -0.242393171 0.002705196
  < d_y2_d_x1 0.028698724 0.042132570 0.01072263 -0.024576829 -0.001637479
  < d_y3_d_x1 -0.020374484 0.010722628 0.05590232 0.013858986 0.007498290
  < d_y1_d_x2 -0.242393171 -0.024576829 0.01385899 0.192216243 -0.004264433
  < d_y2_d_x2 0.002705196 -0.001637479 0.00749829 -0.004264433 0.077222351
  < d_y3_d_x2 0.155857344 0.009115333 -0.01313291 -0.133978380 0.004457577
  ---
  > d_y1_d_x1 0.7075563550 -0.04370243 -0.20555591 -7.499063e-01 7.832827e-04
  > d_y2_d_x1 -0.0437024348 0.05320172 0.03726478 4.091681e-02 -2.413120e-02
  > d_y3_d_x1 -0.2055559118 0.03726478 0.16116766 2.190094e-01 -2.792443e-02
  > d_y1_d_x2 -0.7499062842 0.04091681 0.21900944 8.052599e-01 2.871672e-05
  > d_y2_d_x2 0.0007832827 -0.02413120 -0.02792443 2.871672e-05 6.178181e-02
  > d_y3_d_x2 0.2023200623 -0.03729361 -0.10791847 -2.123891e-01 -4.283597e-03
  2469,2474c2480,2485
  < d_y1_d_x1 0.155857344
  < d_y2_d_x1 0.009115333
  < d_y3_d_x1 -0.013132910
  < d_y1_d_x2 -0.133978380
  < d_y2_d_x2 0.004457577
  < d_y3_d_x2 0.193365815
  ---
  > d_y1_d_x1 0.202320062
  > d_y2_d_x1 -0.037293615
  > d_y3_d_x1 -0.107918471
  > d_y1_d_x2 -0.212389056
  > d_y2_d_x2 -0.004283597
  > d_y3_d_x2 0.132007915
  2477,2482c2488,2493
  < d_y1_d_x1 0.07184 0.56482 0.127 0.8988
  < d_y2_d_x1 0.26005 0.20526 1.267 0.2052
  < d_y3_d_x1 -0.23488 0.23644 -0.993 0.3205
  < d_y1_d_x2 -0.04274 0.43842 -0.097 0.9223
  < d_y2_d_x2 -0.46596 0.27789 -1.677 0.0936 .
  < d_y3_d_x2 0.52623 0.43973 1.197 0.2314
  ---
  > 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’ [65s/65s]
  Comparing ‘mvProbitTest.Rout’ to ‘mvProbitTest.Rout.save’ ...158c158
  < 2 0.36422466 0.85124795 0.31421869
  ---
  > 2 0.36422466 0.74444655 0.11898201
  160,161c160,161
  < 4 0.19744044 0.67487372 0.20559572
  < 5 0.62321758 0.54232735 0.61762471
  ---
  > 4 0.19744044 0.81305670 0.46088740
  > 5 0.46887344 0.54232735 0.70688505
  164c164
  < 8 0.69538906 0.32138019 0.78280394
  ---
  > 8 0.88954588 0.24377749 0.78280394
  201,203c201,203
  < [1] "Component 1: Mean relative difference: 8.379214e-05"
  < [2] "Component 2: Mean relative difference: 6.334469e-05"
  < [3] "Component 3: Mean relative difference: 8.275035e-05"
  ---
  > [1] "Component 1: Mean relative difference: 9.258897e-05"
  > [2] "Component 2: Mean relative difference: 5.029085e-05"
  > [3] "Component 3: Mean relative difference: 0.0001009532"
  209,211c209,211
  < [1] "Component 1: Mean relative difference: 6.030919e-06"
  < [2] "Component 2: Mean relative difference: 4.761234e-06"
  < [3] "Component 3: Mean relative difference: 5.435534e-06"
  ---
  > [1] "Component 1: Mean relative difference: 4.471818e-06"
  > [2] "Component 2: Mean relative difference: 3.954285e-06"
  > [3] "Component 3: Mean relative difference: 4.758699e-06"
  217,219c217,219
  < [1] "Component 1: Mean relative difference: 8.378169e-05"
  < [2] "Component 2: Mean relative difference: 6.334194e-05"
  < [3] "Component 3: Mean relative difference: 8.275603e-05"
  ---
  > [1] "Component 1: Mean relative difference: 9.258463e-05"
  > [2] "Component 2: Mean relative difference: 5.028616e-05"
  > [3] "Component 3: Mean relative difference: 0.0001009503"
  225,227c225,227
  < [1] "Component 1: Mean relative difference: 0.07322259"
  < [2] "Component 2: Mean relative difference: 0.04777342"
  < [3] "Component 3: Mean relative difference: 0.02371844"
  ---
  > [1] "Component 1: Mean relative difference: 0.05130138"
  > [2] "Component 2: Mean relative difference: 0.04744355"
  > [3] "Component 3: Mean relative difference: 0.02586555"
  233,235c233,235
  < [1] "Component 1: Mean relative difference: 0.003270405"
  < [2] "Component 2: Mean relative difference: 0.002604943"
  < [3] "Component 3: Mean relative difference: 0.003648763"
  ---
  > [1] "Component 1: Mean relative difference: 0.002650961"
  > [2] "Component 2: Mean relative difference: 0.002438056"
  > [3] "Component 3: Mean relative difference: 0.00287644"
  241,243c241,243
  < [1] "Component 1: Mean relative difference: 0.02606565"
  < [2] "Component 2: Mean relative difference: 0.01547738"
  < [3] "Component 3: Mean relative difference: 0.02685395"
  ---
  > [1] "Component 1: Mean relative difference: 0.01486969"
  > [2] "Component 2: Mean relative difference: 0.0173985"
  > [3] "Component 3: Mean relative difference: 0.01629308"
  258,267c258,267
  < [1,] 0.0192 0.7362 0.1858
  < [2,] 0.4008 0.7716 0.2157
  < [3,] 0.1251 0.7867 0.1925
  < [4,] 0.2324 0.6851 0.2859
  < [5,] 0.6771 0.4283 0.5806
  < [6,] 0.0295 0.9757 0.0345
  < [7,] 0.9613 0.1816 0.7811
  < [8,] 0.8567 0.2530 0.7277
  < [9,] 0.0560 0.9682 0.0341
  < [10,] 0.9975 0.0670 0.9207
  ---
  > [1,] 0.0192 0.7292 0.1974
  > [2,] 0.4004 0.7599 0.2151
  > [3,] 0.1185 0.7867 0.1978
  > [4,] 0.2374 0.6843 0.2992
  > [5,] 0.6817 0.4368 0.5779
  > [6,] 0.0275 0.9709 0.0356
  > [7,] 0.9580 0.1843 0.7872
  > [8,] 0.8551 0.2551 0.7156
  > [9,] 0.0624 0.9697 0.0332
  > [10,] 0.9984 0.0636 0.9231
  270,279c270,279
  < [1,] -0.0016689243 1.077121e-02 -0.0083102441
  < [2,] 0.0068765951 3.170594e-03 0.0020610027
  < [3,] 0.0005435525 -1.156035e-03 -0.0039267157
  < [4,] -0.0024539159 4.400442e-03 -0.0059390276
  < [5,] -0.0028933343 -6.375618e-03 0.0019840121
  < [6,] 0.0015800371 2.989823e-03 0.0007997717
  < [7,] 0.0031358902 -4.700281e-03 -0.0030444398
  < [8,] 0.0003073384 6.324570e-03 0.0038168288
  < [9,] -0.0047363575 -2.362818e-05 -0.0003476431
  < [10,] -0.0003799086 -3.497231e-04 -0.0018784545
  ---
  > [1,] -0.0016689243 0.003771207 0.0032897559
  > [2,] 0.0064765951 -0.008529406 0.0014610027
  > [3,] -0.0060564475 -0.001156035 0.0013732843
  > [4,] 0.0025460841 0.003600442 0.0073609724
  > [5,] 0.0017066657 0.002124382 -0.0007159879
  > [6,] -0.0004199629 -0.001810177 0.0018997717
  > [7,] -0.0001641098 -0.002000281 0.0030555602
  > [8,] -0.0012926616 0.008424570 -0.0082831712
  > [9,] 0.0016636425 0.001476372 -0.0012476431
  > [10,] 0.0005200914 -0.003749723 0.0005215455
  290,291c290,291
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  310c310
  < [1] "Mean relative difference: 7.702707e-05"
  ---
  > [1] "Mean relative difference: 8.840686e-05"
  316c316
  < [1] "Mean relative difference: 5.070498e-06"
  ---
  > [1] "Mean relative difference: 4.53253e-06"
  322c322
  < [1] "Mean relative difference: 7.70181e-05"
  ---
  > [1] "Mean relative difference: 8.840067e-05"
  328c328
  < [1] "Mean relative difference: 0.05497947"
  ---
  > [1] "Mean relative difference: 0.05527167"
  333c333
  < [1] "Mean relative difference: 0.002444357"
  ---
  > [1] "Mean relative difference: 0.002220837"
  339c339
  < [1] "Mean relative difference: 0.01970199"
  ---
  > [1] "Mean relative difference: 0.01480876"
  346,347c346,347
  < [1] -0.53540368 -1.49872510 -0.55161623 -0.92411760 -2.08926912 -0.08645378
  < [7] -0.46570791 -1.98664481 -0.12392314 -0.14927833
  ---
  > [1] -0.53540368 -0.94155840 -0.55161623 -2.32656485 -2.25902218 -0.08645378
  > [7] -0.46570791 -0.70386950 -0.12392314 -0.14927833
  351c351
  < [2,] 1.082645070 0.00000000 1.08264507 -0.235989467 -0.319457687
  ---
  > [2,] -0.620181812 0.00000000 -0.62018181 0.135184078 0.182997967
  353,354c353,354
  < [4,] -0.367399256 -0.36739926 -0.36739926 0.267794095 -0.322625590
  < [5,] 0.656200625 0.65620062 0.00000000 -0.410151158 0.539122019
  ---
  > [4,] 1.493926467 1.49392647 1.49392647 -1.088909899 1.311866859
  > [5,] 0.917269941 0.91726994 0.00000000 -0.573329732 0.753611630
  357c357
  < [8,] 0.543556919 0.00000000 0.00000000 0.083367019 -0.033652539
  ---
  > [8,] 0.224807263 0.00000000 0.00000000 0.034479391 -0.013918202
  362c362
  < [2,] 0.27901320 0.0000000 0.27901320 -0.06081788 -0.08232884 -0.54999962
  ---
  > [2,] 0.43840786 0.0000000 0.43840786 -0.09556192 -0.12936166 -0.24068300
  364,365c364,365
  < [4,] 0.54004579 0.5400458 0.54004579 -0.39363464 0.47423229 -0.37779301
  < [5,] 0.74825688 0.7482569 0.00000000 -0.46768993 0.61475370 -1.04802116
  ---
  > [4,] 0.33970605 0.3397061 0.33970605 -0.24760876 0.29830726 -0.79100711
  > [5,] -0.88642408 -0.8864241 0.00000000 0.55404986 -0.72826926 -1.24501533
  368c368
  < [8,] -0.53763498 0.0000000 0.00000000 -0.08245875 0.03328590 -1.41145183
  ---
  > [8,] -0.41846140 0.0000000 0.00000000 -0.06418073 0.02590766 0.39132057
  371,392c371,392
  < b_3_1 b_3_2 b_3_3 b_3_4 R_1_2
  < [1,] 0.00000000 -0.31393241 0.33522447 -0.13388094 -0.0089522200
  < [2,] 0.00000000 -0.54999962 0.11988612 0.16228920 0.3683881755
  < [3,] -0.28829263 -0.28829263 0.29578952 -0.25805813 -0.0489604016
  < [4,] -0.37779301 -0.37779301 0.27537001 -0.33175270 -0.1457180321
  < [5,] -1.04802116 0.00000000 0.65505438 -0.86103436 0.5869342496
  < [6,] -0.07038947 -0.07038947 0.11872545 -0.04847302 -0.0020805973
  < [7,] 0.34377267 0.34377267 0.28800829 0.19042175 -0.0121688745
  < [8,] 0.00000000 0.00000000 -0.21647877 0.08738540 -0.2214369512
  < [9,] 0.00000000 -0.06658594 0.07578392 0.02037281 -0.0038911046
  < [10,] 0.00000000 0.00000000 0.19146363 -0.05809977 -0.0003026088
  < R_1_3 R_2_3
  < [1,] 0.031648334 -0.161540001
  < [2,] -0.423446760 -0.189573865
  < [3,] 0.118484255 -0.129196504
  < [4,] 0.232939526 -0.239399521
  < [5,] -0.496899606 -0.857752827
  < [6,] 0.015112572 -0.006549753
  < [7,] 0.055215327 -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
  409c409
  < [2,] 1.082645463 0.00000000 1.08264546 -0.235989552 -0.319457802
  ---
  > [2,] -0.620181508 0.00000000 -0.62018151 0.135184011 0.182997877
  411,412c411,412
  < [4,] -0.367399024 -0.36739902 -0.36739902 0.267793926 -0.322625386
  < [5,] 0.656200952 0.65620095 0.00000000 -0.410151363 0.539122288
  ---
  > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
  > [5,] 0.917270326 0.91727033 0.00000000 -0.573329973 0.753611947
  415c415
  < [8,] 0.543557219 0.00000000 0.00000000 0.083367065 -0.033652557
  ---
  > [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918213
  420c420
  < [2,] 0.27901339 0.00000000 0.27901339 -0.06081792 -0.08232889 -0.54999933
  ---
  > [2,] 0.43840810 0.00000000 0.43840810 -0.09556197 -0.12936173 -0.24068282
  422,423c422,423
  < [4,] 0.54004606 0.54004606 0.54004606 -0.39363483 0.47423253 -0.37779278
  < [5,] 0.74825720 0.74825720 0.00000000 -0.46769013 0.61475396 -1.04802077
  ---
  > [4,] 0.33970627 0.33970627 0.33970627 -0.24760892 0.29830745 -0.79100675
  > [5,] -0.88642374 -0.88642374 0.00000000 0.55404964 -0.72826897 -1.24501491
  426c426
  < [8,] -0.53763471 0.00000000 0.00000000 -0.08245871 0.03328588 -1.41145140
  ---
  > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
  431c431
  < [2,] 0.0000000 -0.54999933 0.11988606 0.16228912 0.3683883072 -0.423446598
  ---
  > [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.242606594
  433,434c433,434
  < [4,] -0.3777928 -0.37779278 0.27536984 -0.33175249 -0.1457180698 0.232939472
  < [5,] -1.0480208 0.00000000 0.65505413 -0.86103404 0.5869343478 -0.496899390
  ---
  > [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
  437c437
  < [8,] 0.0000000 0.00000000 -0.21647870 0.08738537 -0.2214369710 -0.576005356
  ---
  > [8,] 0.0000000 0.00000000 0.06001809 -0.02422734 -0.0620710620 0.159552892
  442c442
  < [2,] -0.189573890
  ---
  > [2,] -0.132532661
  444,445c444,445
  < [4,] -0.239399537
  < [5,] -0.857752533
  ---
  > [4,] -0.319508409
  > [5,] 1.016443490
  448c448
  < [8,] 0.694568471
  ---
  > [8,] -0.192174094
  466c466
  < [2,] 1.082645463 0.00000000 1.08264546 -0.235989553 -0.319457802
  ---
  > [2,] -0.620181508 0.00000000 -0.62018151 0.135184012 0.182997877
  468,469c468,469
  < [4,] -0.367399024 -0.36739902 -0.36739902 0.267793926 -0.322625386
  < [5,] 0.656200952 0.65620095 0.00000000 -0.410151363 0.539122288
  ---
  > [4,] 1.493926913 1.49392691 1.49392691 -1.088910224 1.311867250
  > [5,] 0.917270326 0.91727033 0.00000000 -0.573329973 0.753611947
  472c472
  < [8,] 0.543557219 0.00000000 0.00000000 0.083367066 -0.033652557
  ---
  > [8,] 0.224807433 0.00000000 0.00000000 0.034479417 -0.013918213
  477c477
  < [2,] 0.27901339 0.00000000 0.27901339 -0.06081792 -0.08232889 -0.54999933
  ---
  > [2,] 0.43840810 0.00000000 0.43840810 -0.09556197 -0.12936173 -0.24068282
  479,480c479,480
  < [4,] 0.54004606 0.54004606 0.54004606 -0.39363483 0.47423253 -0.37779278
  < [5,] 0.74825720 0.74825720 0.00000000 -0.46769013 0.61475396 -1.04802077
  ---
  > [4,] 0.33970627 0.33970627 0.33970627 -0.24760892 0.29830745 -0.79100675
  > [5,] -0.88642374 -0.88642374 0.00000000 0.55404964 -0.72826897 -1.24501491
  483c483
  < [8,] -0.53763471 0.00000000 0.00000000 -0.08245871 0.03328588 -1.41145140
  ---
  > [8,] -0.41846116 0.00000000 0.00000000 -0.06418069 0.02590765 0.39132081
  488c488
  < [2,] 0.0000000 -0.54999933 0.11988606 0.16228912 0.3683883072 -0.423446598
  ---
  > [2,] 0.0000000 -0.24068282 0.05246282 0.07101864 -0.2109161814 0.242606594
  490,491c490,491
  < [4,] -0.3777928 -0.37779278 0.27536984 -0.33175249 -0.1457180698 0.232939472
  < [5,] -1.0480208 0.00000000 0.65505413 -0.86103404 0.5869343478 -0.496899390
  ---
  > [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
  494c494
  < [8,] 0.0000000 0.00000000 -0.21647870 0.08738537 -0.2214369710 -0.576005356
  ---
  > [8,] 0.0000000 0.00000000 0.06001809 -0.02422734 -0.0620710620 0.159552892
  499c499
  < [2,] -0.189573890
  ---
  > [2,] -0.132532661
  501,502c501,502
  < [4,] -0.239399537
  < [5,] -0.857752533
  ---
  > [4,] -0.319508409
  > [5,] 1.016443490
  505c505
  < [8,] 0.694568471
  ---
  > [8,] -0.192174094
  511c511
  < [2,] -3.626070e-07 NaN -3.628121e-07 -3.641876e-07 -3.629021e-07
  ---
  > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
  513,514c513,514
  < [4,] 6.318679e-07 6.318679e-07 6.318679e-07 6.326351e-07 6.322244e-07
  < [5,] -4.994474e-07 -4.994474e-07 NaN -4.992015e-07 -4.995042e-07
  ---
  > [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
  517c517
  < [8,] -5.522957e-07 NaN NaN -5.553983e-07 -5.440989e-07
  ---
  > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
  522c522
  < [2,] -6.716726e-07 NaN -6.716726e-07 -6.687748e-07 -6.740666e-07
  ---
  > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
  524,525c524,525
  < [4,] -4.995578e-07 -4.995578e-07 -4.995578e-07 -4.996436e-07 -5.002704e-07
  < [5,] -4.273186e-07 -4.279121e-07 NaN -4.283653e-07 -4.275969e-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
  528c528
  < [8,] 5.067544e-07 NaN NaN 5.051686e-07 4.873650e-07
  ---
  > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
  533c533
  < [2,] 5.357337e-07 NaN 5.357337e-07 5.354251e-07 5.378767e-07
  ---
  > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
  535,536c535,536
  < [4,] 6.177166e-07 6.177166e-07 6.177166e-07 6.180733e-07 6.187119e-07
  < [5,] 3.711970e-07 3.711970e-07 NaN 3.698358e-07 3.715723e-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
  539c539
  < [8,] 3.029916e-07 NaN NaN 3.034741e-07 3.016053e-07
  ---
  > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
  544c544
  < [2,] -3.574284e-07 3.822690e-07 -1.300124e-07
  ---
  > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
  546,547c546,547
  < [4,] -2.590453e-07 2.344943e-07 -6.678046e-08
  < [5,] -1.672141e-07 4.343482e-07 3.437766e-07
  ---
  > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
  > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
  550c550
  < [8,] -8.924422e-08 6.603453e-07 -6.032496e-07
  ---
  > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
  558c558
  < [2,] -3.925749e-07 0.000000e+00 -3.927969e-07 8.594447e-08 1.159319e-07
  ---
  > [2,] -3.042011e-07 0.000000e+00 -3.042011e-07 6.594388e-08 8.965504e-08
  560,561c560,561
  < [4,] -2.321476e-07 -2.321476e-07 -2.321476e-07 1.694158e-07 -2.039716e-07
  < [5,] -3.277378e-07 -3.277378e-07 0.000000e+00 2.047482e-07 -2.692938e-07
  ---
  > [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
  564c564
  < [8,] -3.002043e-07 0.000000e+00 0.000000e+00 -4.630192e-08 1.831032e-08
  ---
  > [8,] -1.705303e-07 0.000000e+00 0.000000e+00 -2.619649e-08 1.039898e-08
  569c569
  < [2,] -1.874056e-07 0.000000e+00 -1.874056e-07 4.067349e-08 5.549515e-08
  ---
  > [2,] -2.428058e-07 0.000000e+00 -2.428058e-07 5.277654e-08 7.163994e-08
  571,572c571,572
  < [4,] -2.697842e-07 -2.697842e-07 -2.697842e-07 1.966771e-07 -2.372445e-07
  < [5,] -3.197442e-07 -3.201883e-07 0.000000e+00 2.003422e-07 -2.628669e-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
  575c575
  < [8,] -2.724487e-07 0.000000e+00 0.000000e+00 -4.165556e-08 1.622237e-08
  ---
  > [8,] -2.344791e-07 0.000000e+00 0.000000e+00 -3.598585e-08 1.435383e-08
  580c580
  < [2,] -2.946532e-07 0.000000e+00 -2.946532e-07 6.419000e-08 8.729153e-08
  ---
  > [2,] -1.801892e-07 0.000000e+00 -1.801892e-07 3.897695e-08 5.295519e-08
  582,583c582,583
  < [4,] -2.333689e-07 -2.333689e-07 -2.333689e-07 1.701987e-07 -2.052592e-07
  < [5,] -3.890221e-07 -3.890221e-07 0.000000e+00 2.422625e-07 -3.199364e-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
  586c586
  < [8,] -4.276579e-07 0.000000e+00 0.000000e+00 -6.569567e-08 2.635589e-08
  ---
  > [8,] -2.342571e-07 0.000000e+00 0.000000e+00 -3.582545e-08 1.459302e-08
  591c591
  < [2,] -1.316725e-07 -1.618705e-07 2.464695e-08
  ---
  > [2,] 1.332268e-08 1.143530e-08 3.552714e-08
  593,594c593,594
  < [4,] 3.774758e-08 5.462297e-08 1.598721e-08
  < [5,] -9.814372e-08 -2.158274e-07 -2.948752e-07
  ---
  > [4,] -3.739231e-07 -7.802647e-07 -3.375078e-08
  > [5,] -3.281819e-07 -6.576961e-07 -6.030731e-07
  597c597
  < [8,] 1.976197e-08 -3.803624e-07 -4.189982e-07
  ---
  > [8,] 4.474199e-08 4.629630e-08 3.086420e-08
  601c601
  < [1] -4.276579e-07 2.575105e-07
  ---
  > [1] -7.802647e-07 3.247817e-07
  605c605
  < [2,] -3.626070e-07 NaN -3.628121e-07 -3.641876e-07 -3.629021e-07
  ---
  > [2,] 4.905034e-07 NaN 4.905034e-07 4.878083e-07 4.899239e-07
  607,608c607,608
  < [4,] 6.318679e-07 6.318679e-07 6.318679e-07 6.326351e-07 6.322244e-07
  < [5,] -4.994474e-07 -4.994474e-07 NaN -4.992015e-07 -4.995042e-07
  ---
  > [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
  611c611
  < [8,] -5.522957e-07 NaN NaN -5.553983e-07 -5.440989e-07
  ---
  > [8,] -7.585615e-07 NaN NaN -7.597718e-07 -7.471492e-07
  616c616
  < [2,] -6.716726e-07 NaN -6.716726e-07 -6.687748e-07 -6.740666e-07
  ---
  > [2,] -5.538351e-07 NaN -5.538351e-07 -5.522756e-07 -5.537955e-07
  618,619c618,619
  < [4,] -4.995578e-07 -4.995578e-07 -4.995578e-07 -4.996436e-07 -5.002704e-07
  < [5,] -4.273186e-07 -4.279121e-07 NaN -4.283653e-07 -4.275969e-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
  622c622
  < [8,] 5.067544e-07 NaN NaN 5.051686e-07 4.873650e-07
  ---
  > [8,] 5.603366e-07 NaN NaN 5.606959e-07 5.540384e-07
  627c627
  < [2,] 5.357337e-07 NaN 5.357337e-07 5.354251e-07 5.378767e-07
  ---
  > [2,] 7.486583e-07 NaN 7.486583e-07 7.429443e-07 7.456520e-07
  629,630c629,630
  < [4,] 6.177166e-07 6.177166e-07 6.177166e-07 6.180733e-07 6.187119e-07
  < [5,] 3.711970e-07 3.711970e-07 NaN 3.698358e-07 3.715723e-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
  633c633
  < [8,] 3.029916e-07 NaN NaN 3.034741e-07 3.016053e-07
  ---
  > [8,] -5.986317e-07 NaN NaN -5.969109e-07 -6.023370e-07
  638c638
  < [2,] -3.574284e-07 3.822690e-07 -1.300124e-07
  ---
  > [2,] -6.316574e-08 4.713515e-08 -2.680633e-07
  640,641c640,641
  < [4,] -2.590453e-07 2.344943e-07 -6.678046e-08
  < [5,] -1.672141e-07 4.343482e-07 3.437766e-07
  ---
  > [4,] -6.303767e-07 8.236957e-07 1.056335e-07
  > [5,] 4.715963e-07 7.295127e-07 -5.933169e-07
  644c644
  < [8,] -8.924422e-08 6.603453e-07 -6.032496e-07
  ---
  > [8,] -7.208188e-07 2.901627e-07 -1.606054e-07
  650,682c650,682
  < b_1_0 b_1_1 b_1_2 b_1_3 b_1_4 b_2_0 b_2_1
  < [1,] 0 0 0.000000e+00 4.976800e-10 3.745312e-11 0 0.000000e+00
  < [2,] 0 0 -2.220446e-10 3.729972e-10 9.425283e-11 0 0.000000e+00
  < [3,] 0 0 0.000000e+00 1.252659e-10 -1.642822e-10 0 0.000000e+00
  < [4,] 0 0 0.000000e+00 2.054518e-10 -1.150258e-10 0 0.000000e+00
  < [5,] 0 0 0.000000e+00 -1.008295e-10 -3.064127e-11 0 -4.440892e-10
  < [6,] 0 0 0.000000e+00 -1.869624e-10 1.264781e-10 0 0.000000e+00
  < [7,] 0 0 0.000000e+00 -2.898278e-10 -1.623588e-10 0 0.000000e+00
  < [8,] 0 0 0.000000e+00 -2.586536e-10 -2.758433e-10 0 0.000000e+00
  < [9,] 0 0 0.000000e+00 -4.448322e-11 -1.663232e-10 0 0.000000e+00
  < [10,] 0 0 0.000000e+00 1.352138e-10 2.132173e-10 0 0.000000e+00
  < b_2_2 b_2_3 b_2_4 b_3_0 b_3_1 b_3_2 b_3_3
  < [1,] 0 -1.034852e-10 4.275993e-11 0 0 0 2.084143e-10
  < [2,] 0 -1.762390e-10 1.970922e-10 0 0 0 -3.700273e-11
  < [3,] 0 -1.606591e-10 -8.818213e-11 0 0 0 -1.729538e-10
  < [4,] 0 3.380474e-11 -3.379643e-10 0 0 0 9.822021e-11
  < [5,] 0 4.895125e-10 -1.710871e-10 0 0 0 -8.916419e-10
  < [6,] 0 1.028245e-10 -6.313480e-11 0 0 0 -4.762960e-10
  < [7,] 0 3.496612e-10 1.553381e-10 0 0 0 -6.963397e-11
  < [8,] 0 1.307559e-10 -6.453931e-10 0 0 0 -1.044453e-10
  < [9,] 0 -6.646317e-11 -6.097595e-11 0 0 0 -6.806601e-11
  < [10,] 0 2.065775e-11 -1.817360e-10 0 0 0 -1.981207e-11
  < b_3_4 R_1_2 R_1_3 R_2_3
  < [1,] 7.442630e-11 0 0 0
  < [2,] 3.477739e-10 0 0 0
  < [3,] -4.036885e-10 0 0 0
  < [4,] -3.301980e-10 0 0 0
  < [5,] -3.231769e-10 0 0 0
  < [6,] -3.519740e-12 0 0 0
  < [7,] -1.843262e-10 0 0 0
  < [8,] -1.211414e-10 0 0 0
  < [9,] 6.274188e-11 0 0 0
  < [10,] -7.069692e-11 0 0 0
  ---
  > b_1_0 b_1_1 b_1_2 b_1_3 b_1_4 b_2_0 b_2_1 b_2_2
  > [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
  > b_2_3 b_2_4 b_3_0 b_3_1 b_3_2 b_3_3 b_3_4
  > [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
  > R_1_2 R_1_3 R_2_3
  > [1,] 0 0 0
  > [2,] 0 0 0
  > [3,] 0 0 0
  > [4,] 0 0 0
  > [5,] 0 0 0
  > [6,] 0 0 0
  > [7,] 0 0 0
  > [8,] 0 0 0
  > [9,] 0 0 0
  > [10,] 0 0 0
  684c684
  < [1] -8.916419e-10 4.976800e-10
  ---
  > [1] -7.232756e-10 6.817048e-10
  1500c1500
  < 3 0.440547549 -0.33694170 0.2350549 -0.3803063471 -0.32464544 0.5721855
  ---
  > 3 0.440547549 -0.33694170 0.2350549 -0.3803063472 -0.32464544 0.5721855
  1504c1504
  < 7 0.036015809 -0.30982533 0.2977379 -0.0217475814 -0.39933261 0.3574982
  ---
  > 7 0.036015809 -0.30982533 0.2977379 -0.0217475812 -0.39933261 0.3574982
  1531c1531
  < 7 0.0313559804 0.24700912 -0.18717169 -0.0250310820 0.15490110 -0.19216058
  ---
  > 7 0.0313559802 0.24700912 -0.18717169 -0.0250310818 0.15490110 -0.19216058
  1538c1538
  < 3 0.440547549 -0.33694170 0.2350549 -0.3803063471 -0.32464544 0.5721855
  ---
  > 3 0.440547549 -0.33694170 0.2350549 -0.3803063472 -0.32464544 0.5721855
  1542c1542
  < 7 0.036015809 -0.30982533 0.2977379 -0.0217475814 -0.39933261 0.3574982
  ---
  > 7 0.036015809 -0.30982533 0.2977379 -0.0217475812 -0.39933261 0.3574982
  1590,1591c1590,1591
  < 1 0.176546731 -0.35173836 0.2230884 -0.1468532996 -0.32870549 0.6038590
  < 2 0.470508468 -0.39074154 0.2416959 -0.4008818186 -0.40494388 0.4968085
  ---
  > 1 0.176546731 -0.35173837 0.2230884 -0.1468532997 -0.32870549 0.6038590
  > 2 0.470508468 -0.39074154 0.2416959 -0.4008818185 -0.40494388 0.4968085
  1593,1594c1593,1594
  < 4 0.520191404 -0.45148369 0.2437674 -0.4144878626 -0.44884522 0.5675156
  < 5 0.329930691 -0.50525720 0.2791793 -0.2238869514 -0.56754997 0.4882992
  ---
  > 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
  1607,1612c1607,1612
  < [7] "Component 7: Mean relative difference: 0.0002101603"
  < [8] "Component 8: Mean relative difference: 0.0001300581"
  < [9] "Component 9: Mean relative difference: 0.0002044688"
  < [10] "Component 10: Mean relative difference: 0.0001675277"
  < [11] "Component 11: Mean relative difference: 0.0001336313"
  < [12] "Component 12: Mean relative difference: 0.0001409383"
  ---
  > [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"
  1629,1638c1629,1638
  < 1 0.176329912 -0.35336690 0.2233966 -0.146608979 -0.33322866 0.6039101
  < 2 0.470942705 -0.39474822 0.2424568 -0.401220332 -0.41533126 0.4972206
  < 3 0.440312669 -0.33958467 0.2354779 -0.380063995 -0.33216144 0.5723273
  < 4 0.520398432 -0.45373955 0.2448886 -0.414046786 -0.45507118 0.5682299
  < 5 0.333001238 -0.50703990 0.2835796 -0.224241440 -0.57213943 0.4910794
  < 6 0.253245536 -0.05821538 0.1579588 -0.279259652 -0.06532844 0.3858571
  < 7 0.039097669 -0.31144596 0.3059117 -0.022992332 -0.40247246 0.3630267
  < 8 0.151029975 -0.38761701 0.2909536 -0.092205017 -0.47013102 0.4115833
  < 9 0.360696249 -0.07810203 0.1413356 -0.395142892 -0.08668239 0.3341350
  < 10 0.000802504 -0.15020695 0.1921428 -0.002065603 -0.20061813 0.2067482
  ---
  > 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
  > 10 0.0008025037 -0.15020695 0.1921428 -0.002065602 -0.20061813 0.2067482
  1726c1726
  < 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334728 0.0068307493
  ---
  > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
  1730,1736c1730,1736
  < 1 0.1589283486 3.934858e-01 -0.0551697321 -0.2431980689 -4.943732e-01
  < 5 0.0074691017 5.559506e-02 0.0922702858 -0.0209402898 -2.593774e-01
  < 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002207451 -2.316957e-05
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0185561366 0.2704240315
  < 5 -0.0399253110 0.0816862424
  < 10 -0.0001923111 -0.0002413961
  ---
  > 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 -0.0030037423 0.3213086 0.08092957 0.089143005 -0.005045259 -0.05181404
  ---
  > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
  1745,1747c1745,1747
  < 1 -0.044424485 -0.36679953 0.03808828 -0.0187128416 -0.65445785 -0.05515447
  < 5 0.111609408 -0.09071765 0.03543031 -0.1448293673 -0.08449388 0.05378576
  < 10 0.001031063 -0.10891460 -0.03745480 -0.0002466476 -0.20173639 -0.04399369
  ---
  > 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
  1756,1758c1756,1758
  < 1 -0.0589627560 -0.077362258 0.47449332 0.189627753 -0.146991606 -0.37512982
  < 5 0.2076689525 -0.049801112 -0.08350623 -0.071266089 -0.028541765 -0.06042672
  < 10 0.0002019259 -0.005508186 -0.04781849 -0.000167342 -0.009577636 -0.09148412
  ---
  > 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
  1763c1763
  < 1 -0.2274334728 0.089143005 0.066369491 0.243352635 -0.051781028
  ---
  > 1 -0.2274334729 0.089143004 0.066369491 0.243352635 -0.051781028
  1767,1773c1767,1773
  < 1 -0.110923427 -0.1634860875 -0.065426666 0.034735864 0.1446929547
  < 5 -0.072756702 -0.3656151570 0.064839874 0.004926305 0.1635456527
  < 10 -0.006398513 -0.0007135702 0.002481104 0.004965690 0.0004091202
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.178757438 -0.031231702
  < 5 0.005570289 0.023440403
  < 10 0.004025707 0.005857017
  ---
  > 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
  1778c1778
  < 1 0.0068307493 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  ---
  > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  1782,1788c1782,1788
  < 1 0.0067462533 0.02467676 -0.007067979 -0.001674945 -0.004801723
  < 5 -0.0055836237 -0.05096260 -0.002527984 0.088161987 0.003648388
  < 10 0.0006847522 -0.06785055 -0.029746485 -0.000182194 -0.124354974
  < d_y3_d_x4
  < 1 -0.006904614
  < 5 -0.003072138
  < 10 -0.033940383
  ---
  > 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
  1793c1793
  < 1 0.1589283486 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  ---
  > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  1797,1799c1797,1799
  < 1 0.012285565 0.03641210 -0.25932884 -0.0683904904 0.10551108 0.14900267
  < 5 -0.068977547 0.01307784 -0.14270397 -0.0175655204 0.06314810 0.01104636
  < 10 0.000936581 -0.01954074 -0.09170223 -0.0006430461 -0.02874204 -0.14040219
  ---
  > 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
  1804,1805c1804,1805
  < 1 3.934858e-01 -0.044424485 -0.0589627560 -0.1634860875 0.0067462533
  < 5 5.559506e-02 0.111609408 0.2076689525 -0.3656151570 -0.0055836237
  ---
  > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
  > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
  1808,1814c1808,1814
  < 1 0.012285565 0.3041642953 -0.0153781349 -0.086958121 -0.2673490350
  < 5 -0.068977547 0.8888237147 -0.1312353133 -0.084249482 -0.4883918291
  < 10 0.000936581 0.0002049371 -0.0007564279 -0.001119502 -0.0001167076
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.089145299 0.050499941
  < 5 -0.040561274 -0.013876865
  < 10 -0.001380156 -0.001070723
  ---
  > 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
  1819,1825c1819,1825
  < 1 -0.0551697321 -0.36679953 -0.077362258 -0.065426666 0.02467676 0.03641210
  < 5 0.0922702858 -0.09071765 -0.049801112 0.064839874 -0.05096260 0.01307784
  < 10 -0.0001169437 -0.10891460 -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 -0.0153781349 0.53624068 0.02882793 0.0503149915 0.78942557 0.08318578
  < 5 -0.1312353133 0.36768462 0.02687858 -0.0435312345 0.04111103 -0.03027573
  < 10 -0.0007564279 0.08985383 0.02943598 0.0002325527 0.15666266 0.03367440
  ---
  > 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
  1830,1836c1830,1836
  < 1 -0.2431980689 0.03808828 0.47449332 0.034735864 -0.007067979 -0.25932884
  < 5 -0.0209402898 0.03543031 -0.08350623 0.004926305 -0.002527984 -0.14270397
  < 10 -0.0002207451 -0.03745480 -0.04781849 0.004965690 -0.029746485 -0.09170223
  < 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 -0.086958121 0.02882793 0.5433471 0.1173886440 -0.07870083 -0.18442766
  < 5 -0.084249482 0.02687858 0.4427415 0.0917298445 -0.09285689 0.03876211
  < 10 -0.001119502 0.02943598 0.1344264 0.0006773831 0.03910502 0.16898660
  ---
  > 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
  1841,1842c1841,1842
  < 1 -4.943732e-01 -0.0187128416 0.189627753 0.1446929547 -0.001674945
  < 5 -2.593774e-01 -0.1448293673 -0.071266089 0.1635456527 0.088161987
  ---
  > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
  > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
  1845,1851c1845,1851
  < 1 -0.0683904904 -0.2673490350 0.0503149915 0.1173886440 3.484679e-01
  < 5 -0.0175655204 -0.4883918291 -0.0435312345 0.0917298445 6.537914e-01
  < 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006773831 7.263175e-05
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0236229943 -0.1868133901
  < 5 0.0432303977 -0.1430173864
  < 10 0.0002043577 0.0007808906
  ---
  > 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
  1856,1857c1856,1857
  < 1 -0.0185561366 -0.65445785 -0.146991606 -0.178757438 -0.004801723 0.10551108
  < 5 -0.0399253110 -0.08449388 -0.028541765 0.005570289 0.003648388 0.06314810
  ---
  > 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
  1860,1862c1860,1862
  < 1 0.089145299 0.78942557 -0.07870083 0.0236229943 1.4564523 0.13463680
  < 5 -0.040561274 0.04111103 -0.09285689 0.0432303977 0.2497097 -0.04526191
  < 10 -0.001380156 0.15666266 0.03910502 0.0002043577 0.3032282 0.05099895
  ---
  > 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
  1867,1873c1867,1873
  < 1 0.2704240315 -0.05515447 -0.37512982 -0.031231702 -0.006904614 0.14900267
  < 5 0.0816862424 0.05378576 -0.06042672 0.023440403 -0.003072138 0.01104636
  < 10 -0.0002413961 -0.04399369 -0.09148412 0.005857017 -0.033940383 -0.14040219
  < 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 0.050499941 0.08318578 -0.18442766 -0.1868133901 0.13463680 0.4425066
  < 5 -0.013876865 -0.03027573 0.03876211 -0.1430173864 -0.04526191 0.2294185
  < 10 -0.001070723 0.03367440 0.16898660 0.0007808906 0.05099895 0.2857250
  ---
  > 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
  1880c1880
  < d_y1_d_x2 -0.227433473 0.089143005 0.066369491 0.24335263 -0.051781028
  ---
  > d_y1_d_x2 -0.227433473 0.089143004 0.066369491 0.24335263 -0.051781028
  1882,1914c1882,1914
  < d_y3_d_x2 0.158928349 -0.051814040 -0.389413930 -0.11092343 0.042316339
  < d_y1_d_x3 0.393485827 -0.044424485 -0.058962756 -0.16348609 0.006746253
  < d_y2_d_x3 -0.055169732 -0.366799533 -0.077362258 -0.06542667 0.024676762
  < d_y3_d_x3 -0.243198069 0.038088278 0.474493323 0.03473586 -0.007067979
  < d_y1_d_x4 -0.494373228 -0.018712842 0.189627753 0.14469295 -0.001674945
  < d_y2_d_x4 -0.018556137 -0.654457849 -0.146991606 -0.17875744 -0.004801723
  < d_y3_d_x4 0.270424032 -0.055154469 -0.375129817 -0.03123170 -0.006904614
  < 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 0.393485827 -0.05516973 -0.243198069 -0.494373228
  < d_y2_d_x1 -0.05181404 -0.044424485 -0.36679953 0.038088278 -0.018712842
  < d_y3_d_x1 -0.38941393 -0.058962756 -0.07736226 0.474493323 0.189627753
  < d_y1_d_x2 -0.11092343 -0.163486087 -0.06542667 0.034735864 0.144692955
  < d_y2_d_x2 0.04231634 0.006746253 0.02467676 -0.007067979 -0.001674945
  < d_y3_d_x2 0.38993460 0.012285565 0.03641210 -0.259328844 -0.068390490
  < d_y1_d_x3 0.01228556 0.304164295 -0.01537813 -0.086958121 -0.267349035
  < d_y2_d_x3 0.03641210 -0.015378135 0.53624068 0.028827934 0.050314991
  < d_y3_d_x3 -0.25932884 -0.086958121 0.02882793 0.543347055 0.117388644
  < d_y1_d_x4 -0.06839049 -0.267349035 0.05031499 0.117388644 0.348467945
  < d_y2_d_x4 0.10551108 0.089145299 0.78942557 -0.078700829 0.023622994
  < d_y3_d_x4 0.14900267 0.050499941 0.08318578 -0.184427662 -0.186813390
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.018556137 0.270424032
  < d_y2_d_x1 -0.654457849 -0.055154469
  < d_y3_d_x1 -0.146991606 -0.375129817
  < d_y1_d_x2 -0.178757438 -0.031231702
  < d_y2_d_x2 -0.004801723 -0.006904614
  < d_y3_d_x2 0.105511079 0.149002668
  < d_y1_d_x3 0.089145299 0.050499941
  < d_y2_d_x3 0.789425572 0.083185778
  < d_y3_d_x3 -0.078700829 -0.184427662
  < d_y1_d_x4 0.023622994 -0.186813390
  < d_y2_d_x4 1.456452318 0.134636798
  < d_y3_d_x4 0.134636798 0.442506568
  ---
  > 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
  1923c1923
  < 1 -0.02311634 0.278678469 -0.067890138 0.013788970 -0.23327451 -6.905587e-02
  ---
  > 1 -0.02311634 0.278693735 -0.067768013 0.013911094 -0.23325786 -6.892265e-02
  1927c1927
  < 1 -0.0041744386
  ---
  > 1 -0.0040412118
  1945c1945
  < 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2787562
  ---
  > 1 0.2844103 0.03659353 0.07800641 0.147862 -0.055643316 -0.15816188 0.2787715
  1949c1949
  < 1 -0.06789014 0.01363354 -0.2333189 -0.06905587 -0.004085621
  ---
  > 1 -0.06776801 0.01375566 -0.2333023 -0.06892265 -0.003952394
  1960c1960
  < 1 0.02468417 -0.149877624 0.016621100 -0.173993660 0.249045229
  ---
  > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
  1964c1964
  < 1 7.269740e-02 0.0034638958
  ---
  > 1 7.305268e-02 0.0038191672
  1975c1975
  < 1 -0.009858291 0.11897289 -0.0287991853 0.005884182 4.839155e-02
  ---
  > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
  1979c1979
  < 1 -0.0845091147 -1.594941e-01
  ---
  > 1 -0.0845979325 -1.595830e-01
  1990c1990
  < 1 -0.0426117475 0.35164094 0.031141756 0.0129174449 0.32867042
  ---
  > 1 -0.0426436664 0.35113024 0.030886405 0.0128785871 0.32804870
  1994c1994
  < 1 0.029709568
  ---
  > 1 0.029398706
  2016,2018c2016,2018
  < 1 -0.04261175 0.3516409 0.03114176 0.01291744 0.3286704 0.02970957
  < 5 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
  < 10 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000
  ---
  > 1 -0.04264367 0.3511302 0.0308864 0.01287859 0.3280487 0.02939871
  > 5 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
  > 10 0.00000000 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000
  2023c2023
  < 1 0.0096546927 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
  ---
  > 1 0.0096546928 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
  2027c2027
  < 1 0.029312015 -0.1189069 -0.006459372 -0.0137001521 -0.34994230 -0.030953018
  ---
  > 1 0.029296749 -0.1191511 -0.006581496 -0.0137168055 -0.35020875 -0.031086245
  2029c2029
  < 10 0.001849283 -0.1565991 -0.006449762 0.0002220446 -0.37872483 -0.022737368
  ---
  > 10 0.001849283 -0.1565991 -0.006183308 0.0002220446 -0.37872483 -0.022382096
  2038,2039c2038,2039
  < 1 -0.0182034943 0.14966917 0.013078427 -0.0107448318 0.3959257 0.03867119
  < 5 0.0389133170 -0.06525891 -0.002098322 -0.0842531739 0.3333717 0.04480425
  ---
  > 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
  2049,2051c2049,2051
  < 1 -0.079676543 0.03296252 -0.01496581 0.0833721980 0.02029488 -0.03392842
  < 5 0.117450494 -0.02679523 -0.10076384 -0.0389466237 -0.01978417 -0.14050983
  < 10 0.001176836 -0.01007111 -0.23079316 -0.0002664535 -0.01217360 -0.24709124
  ---
  > 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
  2071,2073c2071,2073
  < 1 -0.07967654 0.03296252 -0.01496581 0.0833722 0.02029488 -0.03392842
  < 5 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000
  < 10 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000
  ---
  > 1 -0.07964046 0.03338441 -0.01467715 0.0833833 0.02056133 -0.0338396
  > 5 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
  > 10 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.0000000
  2093c2093
  < 1 -0.0339020478 0.015243362 -0.005784262 -0.009744590 0.040700445 0.4189901
  ---
  > 1 -0.0338507000 0.015776269 -0.005373479 -0.009716834 0.041055716 0.4192121
  2100c2100
  < 1 0.012302106 -0.4730857646 -0.022865221 -0.23681944 0.035356899 0.04842374
  ---
  > 1 0.012302106 -0.4730857642 -0.022865221 -0.23681944 0.035356899 0.04842374
  2104c2104
  < 1 0.18774704 0.456945592 -0.036737280 -0.002098322 9.634071e-01 0.018962609
  ---
  > 1 0.18776647 0.457101024 -0.036581849 -0.002109424 9.633183e-01 0.018873791
  2111c2111
  < 1 0.6779988895 -0.0439634712 -0.7518035114 -0.15287721 0.012866382
  ---
  > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
  2115c2115
  < 1 0.39436273 0.215599760 0.0113908882 -0.516897636 -0.389044352 0.0896172025
  ---
  > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903 0.0893507490
  2119c2119
  < 1 0.451993998
  ---
  > 1 0.451949589
  2130c2130
  < 1 -0.101030295 0.17524870 0.2011058 0.036282088 0.006084022 0.1702638
  ---
  > 1 -0.101010866 0.17555957 0.2012612 0.036270986 0.005906386 0.1701750
  2142,2147c2142,2147
  < d_y1_d_x3 0.278678469 0.00000000 0.278756185 -0.149877624 0.118972887
  < d_y2_d_x3 -0.067890138 0.00000000 -0.067890138 0.016621100 -0.028799185
  < d_y3_d_x3 0.013788970 0.00000000 0.013633539 -0.173993660 0.005884182
  < d_y1_d_x4 -0.233274511 0.00000000 -0.233318920 0.249045229 0.048391554
  < d_y2_d_x4 -0.069055872 0.00000000 -0.069055872 0.072697404 -0.084509115
  < d_y3_d_x4 -0.004174439 0.00000000 -0.004085621 0.003463896 -0.159494147
  ---
  > 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
  2155,2160c2155,2160
  < d_y1_d_x3 -0.042611747 0.000000000 -0.042611747 0.029312015 -0.018203494
  < d_y2_d_x3 0.351640939 0.000000000 0.351640939 -0.118906875 0.149669166
  < d_y3_d_x3 0.031141756 0.000000000 0.031141756 -0.006459372 0.013078427
  < d_y1_d_x4 0.012917445 0.000000000 0.012917445 -0.013700152 -0.010744832
  < d_y2_d_x4 0.328670424 0.000000000 0.328670424 -0.349942297 0.395925745
  < d_y3_d_x4 0.029709568 0.000000000 0.029709568 -0.030953018 0.038671194
  ---
  > d_y1_d_x3 -0.042643666 0.000000000 -0.042643666 0.029296749 -0.018238189
  > d_y2_d_x3 0.351130236 0.000000000 0.351130236 -0.119151125 0.149114054
  > d_y3_d_x3 0.030886405 0.000000000 0.030886405 -0.006581496 0.012800871
  > d_y1_d_x4 0.012878587 0.000000000 0.012878587 -0.013716805 -0.010750383
  > d_y2_d_x4 0.328048699 0.000000000 0.328048699 -0.350208751 0.395836928
  > d_y3_d_x4 0.029398706 0.000000000 0.029398706 -0.031086245 0.038626785
  2167,2173c2167,2173
  < d_y3_d_x2 0.031774889 0.0000000 0.43253479 -0.033929980 0.013550853
  < d_y1_d_x3 -0.079676543 0.0000000 -0.07967654 0.039652008 -0.033902048
  < d_y2_d_x3 0.032962522 0.0000000 0.03296252 -0.005284993 0.015243362
  < d_y3_d_x3 -0.014965806 0.0000000 -0.01496581 0.448388779 -0.005784262
  < d_y1_d_x4 0.083372198 0.0000000 0.08337220 -0.089095398 -0.009744590
  < d_y2_d_x4 0.020294877 0.0000000 0.02029488 -0.022826185 0.040700445
  < d_y3_d_x4 -0.033928416 0.0000000 -0.03392842 0.036060044 0.418990074
  ---
  > 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
  2176c2176
  < d_y2_d_x1 -0.473085765 -0.04396347 -0.032474601
  ---
  > d_y2_d_x1 -0.473085764 -0.04396347 -0.032474601
  2181,2186c2181,2186
  < d_y1_d_x3 0.187747040 0.21559976 -0.101030295
  < d_y2_d_x3 0.456945592 0.01139089 0.175248704
  < d_y3_d_x3 -0.036737280 -0.51689764 0.201105799
  < d_y1_d_x4 -0.002098322 -0.38904435 0.036282088
  < d_y2_d_x4 0.963407132 0.08961720 0.006084022
  < d_y3_d_x4 0.018962609 0.45199400 0.170263803
  ---
  > d_y1_d_x3 0.187766469 0.21562058 -0.101010866
  > d_y2_d_x3 0.457101024 0.01159073 0.175559567
  > d_y3_d_x3 -0.036581849 -0.51673110 0.201261230
  > d_y1_d_x4 -0.002109424 -0.38904990 0.036270986
  > d_y2_d_x4 0.963318314 0.08935075 0.005906386
  > d_y3_d_x4 0.018873791 0.45194959 0.170174985
  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 0.5515109 0.320 0.749
  < 1: d_y2_d_x3 -0.3517929 0.7322846 -0.480 0.631
  < 1: d_y3_d_x3 0.2229842 0.7371208 0.303 0.762
  < 1: d_y1_d_x4 -0.1468375 0.5903117 -0.249 0.804
  < 1: d_y2_d_x4 -0.3287218 1.2068357 -0.272 0.785
  < 1: d_y3_d_x4 0.6037347 0.6652117 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 0.9427745 0.350 0.726
  < 2: d_y2_d_x3 -0.5053126 0.6063700 -0.833 0.405
  < 2: d_y3_d_x3 0.2791236 0.6653882 0.419 0.675
  < 2: d_y1_d_x4 -0.2238688 0.8085737 -0.277 0.782
  < 2: d_y2_d_x4 -0.5675504 0.4997096 -1.136 0.256
  < 2: d_y3_d_x4 0.4883268 0.4789766 1.020 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
  2221c2221
  < 3: d_y3_d_x3 0.1853440 0.3666421 0.506 0.613
  ---
  > 3: d_y3_d_x3 0.1853440 0.3666375 0.506 0.613
  2224c2224
  < 3: d_y3_d_x4 0.1994459 0.5345325 0.373 0.709
  ---
  > 3: d_y3_d_x4 0.1994459 0.5345175 0.373 0.709
  2261c2261
  < 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334728 0.0068307493
  ---
  > 1 9.750971e-01 -0.0030037423 -4.490045e-01 -0.2274334729 0.0068307492
  2266,2274c2266,2274
  < 1 0.1589283486 3.934858e-01 -0.0551697321 -0.2431980689 -4.943732e-01
  < 5 0.0074691017 5.559506e-02 0.0922702858 -0.0209402898 -2.593774e-01
  < 10 0.0002038302 3.956835e-05 -0.0001169437 -0.0002207451 -2.316957e-05
  < mean 0.0252988979 -5.399585e-02 -0.0001455275 -0.0383770840 -5.100599e-02
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.0185561366 0.2704240315
  < 5 -0.0399253110 0.0816862424
  < 10 -0.0001923111 -0.0002413961
  < mean -0.0379677909 0.0584274419
  ---
  > 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 -0.0030037423 0.3213086 0.08092957 0.089143005 -0.005045259 -0.05181404
  ---
  > 1 -0.0030037423 0.3213086 0.08092957 0.089143004 -0.005045259 -0.05181404
  2284,2292c2284,2292
  < 1 -0.044424485 -0.36679953 0.03808828 -0.0187128416 -0.65445785
  < 5 0.111609408 -0.09071765 0.03543031 -0.1448293673 -0.08449388
  < 10 0.001031063 -0.10891460 -0.03745480 -0.0002466476 -0.20173639
  < mean 0.005436666 -0.02049065 0.01837537 -0.0417120944 -0.13139659
  < d_y3_d_x4
  < 1 -5.515447e-02
  < 5 5.378576e-02
  < 10 -4.399369e-02
  < mean -3.497904e-05
  ---
  > 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
  2302,2310c2302,2310
  < 1 -0.0589627560 -0.077362258 0.47449332 0.189627753 -0.146991606
  < 5 0.2076689525 -0.049801112 -0.08350623 -0.071266089 -0.028541765
  < 10 0.0002019259 -0.005508186 -0.04781849 -0.000167342 -0.009577636
  < mean 0.0408950025 -0.007375688 0.08713700 0.027719581 -0.021142642
  < d_y3_d_x4
  < 1 -0.37512982
  < 5 -0.06042672
  < 10 -0.09148412
  < mean -0.08590342
  ---
  > 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
  2315c2315
  < 1 -0.2274334728 0.089143005 0.066369491 0.243352635 -0.051781028
  ---
  > 1 -0.2274334729 0.089143004 0.066369491 0.243352635 -0.051781028
  2320,2328c2320,2328
  < 1 -0.110923427 -0.1634860875 -0.065426666 0.034735864 0.1446929547
  < 5 -0.072756702 -0.3656151570 0.064839874 0.004926305 0.1635456527
  < 10 -0.006398513 -0.0007135702 0.002481104 0.004965690 0.0004091202
  < mean -0.039419377 0.0138959191 -0.012354513 -0.013105563 -0.0272617194
  < d_y2_d_x4 d_y3_d_x4
  < 1 -0.178757438 -0.031231702
  < 5 0.005570289 0.023440403
  < 10 0.004025707 0.005857017
  < mean -0.031279269 0.009394452
  ---
  > 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
  2333c2333
  < 1 0.0068307493 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  ---
  > 1 0.0068307492 -0.005045259 -0.008445285 -0.051781028 0.1206777 0.04231634
  2338,2346c2338,2346
  < 1 0.0067462533 0.02467676 -0.007067979 -0.001674945 -0.004801723
  < 5 -0.0055836237 -0.05096260 -0.002527984 0.088161987 0.003648388
  < 10 0.0006847522 -0.06785055 -0.029746485 -0.000182194 -0.124354974
  < mean -0.0096694054 0.04224345 0.004252203 0.019467219 0.015425012
  < d_y3_d_x4
  < 1 -0.006904614
  < 5 -0.003072138
  < 10 -0.033940383
  < mean -0.001071098
  ---
  > 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 0.1589283486 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  ---
  > 1 0.1589283485 -0.05181404 -0.38941393 -0.110923427 0.04231634 0.3899346
  2354c2354
  < mean 0.0252988979 -0.01708688 -0.08103704 -0.039419377 0.02655881 0.2294239
  ---
  > mean 0.0252988980 -0.01708688 -0.08103704 -0.039419377 0.02655881 0.2294239
  2356,2359c2356,2359
  < 1 0.012285565 0.03641210 -0.25932884 -0.0683904904 0.10551108 0.14900267
  < 5 -0.068977547 0.01307784 -0.14270397 -0.0175655204 0.06314810 0.01104636
  < 10 0.000936581 -0.01954074 -0.09170223 -0.0006430461 -0.02874204 -0.14040219
  < mean -0.033453743 0.01532690 -0.06546917 -0.0097394471 0.02923289 0.02450883
  ---
  > 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
  2364,2365c2364,2365
  < 1 3.934858e-01 -0.044424485 -0.0589627560 -0.1634860875 0.0067462533
  < 5 5.559506e-02 0.111609408 0.2076689525 -0.3656151570 -0.0055836237
  ---
  > 1 3.934913e-01 -0.044427031 -0.0589949274 -0.1634860393 0.0067421558
  > 5 5.559145e-02 0.111593955 0.2076679660 -0.3656135275 -0.0055783709
  2367c2367
  < mean -5.399585e-02 0.005436666 0.0408950025 0.0138959191 -0.0096694054
  ---
  > mean -5.399636e-02 0.005435604 0.0408929985 0.0138966627 -0.0096692049
  2369,2377c2369,2377
  < 1 0.012285565 0.3041642953 -0.0153781349 -0.086958121 -0.2673490350
  < 5 -0.068977547 0.8888237147 -0.1312353133 -0.084249482 -0.4883918291
  < 10 0.000936581 0.0002049371 -0.0007564279 -0.001119502 -0.0001167076
  < mean -0.033453743 0.0510449498 -0.0100266158 -0.007651874 -0.0121602810
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.089145299 0.050499941
  < 5 -0.040561274 -0.013876865
  < 10 -0.001380156 -0.001070723
  < mean 0.009398787 -0.004221729
  ---
  > 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
  2382,2383c2382,2383
  < 1 -0.0551697321 -0.36679953 -0.077362258 -0.065426666 0.02467676
  < 5 0.0922702858 -0.09071765 -0.049801112 0.064839874 -0.05096260
  ---
  > 1 -0.0551360998 -0.36675497 -0.077701852 -0.065417875 0.02461029
  > 5 0.0922666787 -0.09073310 -0.049802098 0.064841504 -0.05095735
  2385c2385
  < mean -0.0001455275 -0.02049065 -0.007375688 -0.012354513 0.04224345
  ---
  > mean -0.0001482806 -0.02050368 -0.007395746 -0.012348059 0.04220950
  2387,2395c2387,2395
  < 1 0.03641210 -0.0153781349 0.53624068 0.028827934 0.0503149915 0.78942557
  < 5 0.01307784 -0.1312353133 0.36768462 0.026878581 -0.0435312345 0.04111103
  < 10 -0.01954074 -0.0007564279 0.08985383 0.029435976 0.0002325527 0.15666266
  < mean 0.01532690 -0.0100266158 0.02679971 0.001973056 0.0111302572 0.04211949
  < d_y3_d_x4
  < 1 0.0831857775
  < 5 -0.0302757297
  < 10 0.0336743970
  < mean -0.0001186982
  ---
  > 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
  2400,2403c2400,2403
  < 1 -0.2431980689 0.03808828 0.47449332 0.034735864 -0.007067979
  < 5 -0.0209402898 0.03543031 -0.08350623 0.004926305 -0.002527984
  < 10 -0.0002207451 -0.03745480 -0.04781849 0.004965690 -0.029746485
  < mean -0.0383770840 0.01837537 0.08713700 -0.013105563 0.004252203
  ---
  > 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
  2405,2413c2405,2413
  < 1 -0.25932884 -0.086958121 0.028827934 0.5433471 0.1173886440 -0.07870083
  < 5 -0.14270397 -0.084249482 0.026878581 0.4427415 0.0917298445 -0.09285689
  < 10 -0.09170223 -0.001119502 0.029435976 0.1344264 0.0006773831 0.03910502
  < mean -0.06546917 -0.007651874 0.001973056 0.1827068 0.0293726558 -0.03428904
  < d_y3_d_x4
  < 1 -0.18442766
  < 5 0.03876211
  < 10 0.16898660
  < mean -0.05565535
  ---
  > 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
  2418,2419c2418,2419
  < 1 -4.943732e-01 -0.0187128416 0.189627753 0.1446929547 -0.001674945
  < 5 -2.593774e-01 -0.1448293673 -0.071266089 0.1635456527 0.088161987
  ---
  > 1 -4.943851e-01 -0.0186986576 0.189627098 0.1447065273 -0.001683054
  > 5 -2.593822e-01 -0.1448499710 -0.071267404 0.1635478254 0.088168991
  2421c2421
  < mean -5.100599e-02 -0.0417120944 0.027719581 -0.0272617194 0.019467219
  ---
  > mean -5.100716e-02 -0.0417118839 0.027720262 -0.0272599289 0.019465517
  2423,2431c2423,2431
  < 1 -0.0683904904 -0.2673490350 0.0503149915 0.1173886440 3.484679e-01
  < 5 -0.0175655204 -0.4883918291 -0.0435312345 0.0917298445 6.537914e-01
  < 10 -0.0006430461 -0.0001167076 0.0002325527 0.0006773831 7.263175e-05
  < mean -0.0097394471 -0.0121602810 0.0111302572 0.0293726558 9.680095e-02
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.0236229943 -0.1868133901
  < 5 0.0432303977 -0.1430173864
  < 10 0.0002043577 0.0007808906
  < mean 0.0430996700 -0.0630173555
  ---
  > 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
  2436,2437c2436,2437
  < 1 -0.0185561366 -0.65445785 -0.146991606 -0.178757438 -0.004801723
  < 5 -0.0399253110 -0.08449388 -0.028541765 0.005570289 0.003648388
  ---
  > 1 -0.0188374345 -0.65426181 -0.146882467 -0.178619507 -0.004915436
  > 5 -0.0399301204 -0.08451449 -0.028543080 0.005572462 0.003655392
  2439c2439
  < mean -0.0379677909 -0.13139659 -0.021142642 -0.031279269 0.015425012
  ---
  > mean -0.0379985139 -0.13140706 -0.021115011 -0.031269333 0.015358627
  2441,2449c2441,2449
  < 1 0.10551108 0.089145299 0.78942557 -0.07870083 0.0236229943 1.4564523
  < 5 0.06314810 -0.040561274 0.04111103 -0.09285689 0.0432303977 0.2497097
  < 10 -0.02874204 -0.001380156 0.15666266 0.03910502 0.0002043577 0.3032282
  < mean 0.02923289 0.009398787 0.04211949 -0.03428904 0.0430996700 0.3238681
  < d_y3_d_x4
  < 1 0.13463680
  < 5 -0.04526191
  < 10 0.05099895
  < mean 0.02382663
  ---
  > 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
  2454,2467c2454,2467
  < 1 0.2704240315 -5.515447e-02 -0.37512982 -0.031231702 -0.006904614
  < 5 0.0816862424 5.378576e-02 -0.06042672 0.023440403 -0.003072138
  < 10 -0.0002413961 -4.399369e-02 -0.09148412 0.005857017 -0.033940383
  < mean 0.0584274419 -3.497904e-05 -0.08590342 0.009394452 -0.001071098
  < d_y3_d_x2 d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4
  < 1 0.14900267 0.050499941 0.0831857775 -0.18442766 -0.1868133901
  < 5 0.01104636 -0.013876865 -0.0302757297 0.03876211 -0.1430173864
  < 10 -0.14040219 -0.001070723 0.0336743970 0.16898660 0.0007808906
  < mean 0.02450883 -0.004221729 -0.0001186982 -0.05565535 -0.0630173555
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.13463680 0.4425066
  < 5 -0.04526191 0.2294185
  < 10 0.05099895 0.2857250
  < mean 0.02382663 0.1907013
  ---
  > 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
  2476,2508c2476,2508
  < d_y3_d_x2 0.0252988979 -1.708688e-02 -0.081037045 -0.039419377 0.026558814
  < d_y1_d_x3 -0.0539958529 5.436666e-03 0.040895002 0.013895919 -0.009669405
  < d_y2_d_x3 -0.0001455275 -2.049065e-02 -0.007375688 -0.012354513 0.042243447
  < d_y3_d_x3 -0.0383770840 1.837537e-02 0.087136996 -0.013105563 0.004252203
  < d_y1_d_x4 -0.0510059877 -4.171209e-02 0.027719581 -0.027261719 0.019467219
  < d_y2_d_x4 -0.0379677909 -1.313966e-01 -0.021142642 -0.031279269 0.015425012
  < d_y3_d_x4 0.0584274419 -3.497904e-05 -0.085903424 0.009394452 -0.001071098
  < 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 -0.053995853 -0.0001455275 -0.038377084 -0.051005988
  < d_y2_d_x1 -0.017086875 0.005436666 -0.0204906480 0.018375373 -0.041712094
  < d_y3_d_x1 -0.081037045 0.040895002 -0.0073756885 0.087136996 0.027719581
  < d_y1_d_x2 -0.039419377 0.013895919 -0.0123545129 -0.013105563 -0.027261719
  < d_y2_d_x2 0.026558814 -0.009669405 0.0422434473 0.004252203 0.019467219
  < d_y3_d_x2 0.229423945 -0.033453743 0.0153269045 -0.065469170 -0.009739447
  < d_y1_d_x3 -0.033453743 0.051044950 -0.0100266158 -0.007651874 -0.012160281
  < d_y2_d_x3 0.015326904 -0.010026616 0.0267997104 0.001973056 0.011130257
  < d_y3_d_x3 -0.065469170 -0.007651874 0.0019730558 0.182706803 0.029372656
  < d_y1_d_x4 -0.009739447 -0.012160281 0.0111302572 0.029372656 0.096800949
  < d_y2_d_x4 0.029232891 0.009398787 0.0421194914 -0.034289037 0.043099670
  < d_y3_d_x4 0.024508829 -0.004221729 -0.0001186982 -0.055655353 -0.063017356
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.037967791 5.842744e-02
  < d_y2_d_x1 -0.131396591 -3.497904e-05
  < d_y3_d_x1 -0.021142642 -8.590342e-02
  < d_y1_d_x2 -0.031279269 9.394452e-03
  < d_y2_d_x2 0.015425012 -1.071098e-03
  < d_y3_d_x2 0.029232891 2.450883e-02
  < d_y1_d_x3 0.009398787 -4.221729e-03
  < d_y2_d_x3 0.042119491 -1.186982e-04
  < d_y3_d_x3 -0.034289037 -5.565535e-02
  < d_y1_d_x4 0.043099670 -6.301736e-02
  < d_y2_d_x4 0.323868126 2.382663e-02
  < d_y3_d_x4 0.023826626 1.907013e-01
  ---
  > 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
  2521,2524c2521,2524
  < 1 -0.02311634 0.278678469 -0.067890138 0.013788970 -0.23327451
  < 5 -0.04385058 -0.365474317 0.050365268 0.088007379 0.24198421
  < 10 -0.01341462 -0.004107825 0.001389167 0.004463097 0.00204281
  < mean -0.02679385 -0.030301224 -0.005378568 0.035419815 0.00358417
  ---
  > 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
  2526c2526
  < 1 -6.905587e-02 -0.0041744386
  ---
  > 1 -6.892265e-02 -0.0040412118
  2529c2529
  < mean -2.811640e-02 -0.0068241709
  ---
  > mean -2.807199e-02 -0.0067797619
  2557c2557
  < 1 0.27875618 -0.06789014 0.013633539 -0.23331892 -0.06905587 -0.004085621
  ---
  > 1 0.27877145 -0.06776801 0.013755663 -0.23330227 -0.06892265 -0.003952394
  2560c2560
  < mean 0.09291873 -0.02263005 0.004544513 -0.07777297 -0.02301862 -0.001361874
  ---
  > mean 0.09292382 -0.02258934 0.004585221 -0.07776742 -0.02297422 -0.001317465
  2570c2570
  < 1 0.02468417 -0.149877624 0.016621100 -0.173993660 0.249045229
  ---
  > 1 0.02468417 -0.149844318 0.016887554 -0.173727207 0.249089638
  2573c2573
  < mean 0.01175769 0.110083397 -0.018801304 -0.102642441 0.033573144
  ---
  > mean 0.01175769 0.110094499 -0.018712486 -0.102553623 0.033587947
  2575c2575
  < 1 7.269740e-02 0.0034638958
  ---
  > 1 7.305268e-02 0.0038191672
  2578c2578
  < mean 2.735034e-02 0.0039819999
  ---
  > mean 2.746877e-02 0.0041004237
  2588c2588
  < 1 -0.009858291 0.11897289 -0.0287991853 0.005884182 4.839155e-02
  ---
  > 1 -0.009858291 0.11899232 -0.0286437540 0.006039613 4.838045e-02
  2591c2591
  < mean -0.013593743 -0.06004780 0.0039857007 0.025575838 1.679575e-01
  ---
  > mean -0.013593743 -0.06004132 0.0040375111 0.025627648 1.679538e-01
  2593c2593
  < 1 -0.0845091147 -1.594941e-01
  ---
  > 1 -0.0845979325 -1.595830e-01
  2596c2596
  < mean -0.0467146241 -8.503060e-02
  ---
  > mean -0.0467442301 -8.506021e-02
  2606c2606
  < 1 -0.011727560 -0.0426117475 0.35164094 0.031141756 0.0129174449
  ---
  > 1 -0.011727560 -0.0426436664 0.35113024 0.030886405 0.0128785871
  2609c2609
  < mean -0.001180108 0.0015057400 0.01516565 0.003371377 -0.0135021624
  ---
  > mean -0.001180108 0.0014951003 0.01499541 0.003286260 -0.0135151150
  2611c2611
  < 1 0.32867042 0.029709568
  ---
  > 1 0.32804870 0.029398706
  2614c2614
  < mean -0.01842970 0.006853777
  ---
  > mean -0.01863694 0.006750156
  2637c2637
  < 1 -0.04261175 0.3516409 0.03114176 0.012917445 0.3286704 0.029709568
  ---
  > 1 -0.04264367 0.3511302 0.03088640 0.012878587 0.3280487 0.029398706
  2640c2640
  < mean -0.01420392 0.1172136 0.01038059 0.004305815 0.1095568 0.009903189
  ---
  > mean -0.01421456 0.1170434 0.01029547 0.004292862 0.1093496 0.009799569
  2645c2645
  < 1 0.0096546927 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
  ---
  > 1 0.0096546928 0.1637784 0.020916046 -0.041456959 0.15234011 0.012522967
  2650c2650
  < 1 0.029312015 -0.11890688 -0.006459372 -0.0137001521 -0.34994230
  ---
  > 1 0.029296749 -0.11915112 -0.006581496 -0.0137168055 -0.35020875
  2652,2653c2652,2653
  < 10 0.001849283 -0.15659907 -0.006449762 0.0002220446 -0.37872483
  < mean -0.013293407 0.05831108 0.008622202 0.0060766207 -0.22594704
  ---
  > 10 0.001849283 -0.15659907 -0.006183308 0.0002220446 -0.37872483
  > mean -0.013298496 0.05822966 0.008670312 0.0060710696 -0.22603586
  2655c2655
  < 1 -0.030953018
  ---
  > 1 -0.031086245
  2657,2658c2657,2658
  < 10 -0.022737368
  < mean -0.020072832
  ---
  > 10 -0.022382096
  > mean -0.019998817
  2668,2669c2668,2669
  < 1 -0.005001385 -0.0182034943 0.14966917 0.013078427 -0.0107448318
  < 5 -0.003822842 0.0389133170 -0.06525891 -0.002098322 -0.0842531739
  ---
  > 1 -0.005001385 -0.0182381887 0.14911405 0.012800871 -0.0107503829
  > 5 -0.003822842 0.0387800903 -0.06539214 -0.002231548 -0.0844308096
  2671c2671
  < mean -0.004569859 0.0066738282 0.05682306 0.005917489 -0.0318082267
  ---
  > mean -0.004569859 0.0066178544 0.05659362 0.005780561 -0.0318692889
  2673,2674c2673,2674
  < 1 0.3959257 0.03867119
  < 5 0.3333717 0.04480425
  ---
  > 1 0.3958369 0.03862679
  > 5 0.3331941 0.04462662
  2676c2676
  < mean 0.3237788 0.03529716
  ---
  > mean 0.3236900 0.03522315
  2686c2686
  < 1 0.03177489 -0.079676543 0.032962522 -0.01496581 0.0833721980
  ---
  > 1 0.03177489 -0.079640461 0.033384406 -0.01467715 0.0833833003
  2689c2689
  < mean 0.06875404 0.012983596 -0.001301274 -0.11550760 0.0147197069
  ---
  > mean 0.06875404 0.012995623 -0.001160646 -0.11541138 0.0147234077
  2691,2694c2691,2694
  < 1 0.020294877 -0.03392842
  < 5 -0.019784174 -0.14050983
  < 10 -0.012173595 -0.24709124
  < mean -0.003887631 -0.14050983
  ---
  > 1 0.020561330 -0.0338396
  > 5 -0.019784174 -0.1405098
  > 10 -0.012173595 -0.2470912
  > mean -0.003798813 -0.1404802
  2717c2717
  < 1 -0.07967654 0.03296252 -0.014965806 0.08337220 0.020294877 -0.03392842
  ---
  > 1 -0.07964046 0.03338441 -0.014677148 0.08338330 0.020561330 -0.03383960
  2720c2720
  < mean -0.02655885 0.01098751 -0.004988602 0.02779073 0.006764959 -0.01130947
  ---
  > mean -0.02654682 0.01112814 -0.004892383 0.02779443 0.006853777 -0.01127987
  2743,2744c2743,2744
  < 1 -4.419579e-02 -0.006746165 -0.07219415 0.024950635 -0.0035611269
  < 5 7.560382e-03 0.016012636 0.15064319 -0.051058369 0.0058669521
  ---
  > 1 -4.419579e-02 -0.006746165 -0.07219415 0.024950635 -0.0035611268
  > 5 7.560382e-03 0.016012636 0.15064319 -0.051058369 0.0058669520
  2748,2751c2748,2751
  < 1 0.013550853 -0.0339020478 0.015243362 -0.0057842620 -0.009744590
  < 5 0.019398558 0.0949684775 -0.022731816 -0.0836331004 -0.105358860
  < 10 -0.057403936 -0.0002109424 0.003856637 0.0882294238 0.000392601
  < mean -0.008151508 0.0202851624 -0.001210606 -0.0003959795 -0.038236949
  ---
  > 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
  2753c2753
  < 1 0.040700445 0.4189901
  ---
  > 1 0.041055716 0.4192121
  2756c2756
  < mean 0.021383460 0.3280731
  ---
  > mean 0.021501883 0.3281471
  2761c2761
  < 1 0.012302106 -0.4730857646 -0.022865221 -0.23681944 0.035356899
  ---
  > 1 0.012302106 -0.4730857642 -0.022865221 -0.23681944 0.035356899
  2764c2764
  < mean -0.126350552 -0.2026328843 -0.004951992 -0.07640614 0.080658567
  ---
  > mean -0.126350552 -0.2026328842 -0.004951992 -0.07640614 0.080658567
  2766c2766
  < 1 0.04842374 0.18774704 0.456945592 -0.036737280 -0.002098322
  ---
  > 1 0.04842374 0.18776647 0.457101024 -0.036581849 -0.002109424
  2769c2769
  < mean 0.02174027 0.01345128 0.051438021 -0.020257869 0.172613775
  ---
  > mean 0.02174027 0.01345775 0.051489831 -0.020206059 0.172610074
  2771c2771
  < 1 9.634071e-01 0.018962609
  ---
  > 1 9.633183e-01 0.018873791
  2774c2774
  < mean 3.593773e-01 -0.017911598
  ---
  > mean 3.593477e-01 -0.017941204
  2779c2779
  < 1 0.6779988895 -0.0439634712 -0.7518035114 -0.15287721 0.012866382
  ---
  > 1 0.6779988895 -0.0439634712 -0.7518035113 -0.15287721 0.012866382
  2784c2784
  < 1 0.39436273 0.215599760 0.0113908882 -0.516897636 -0.389044352
  ---
  > 1 0.39436273 0.215620577 0.0115907284 -0.516731102 -0.389049903
  2787c2787
  < mean 0.22111284 -0.077832185 0.0095668843 -0.277681581 -0.140384001
  ---
  > mean 0.22111284 -0.077825246 0.0096334977 -0.277626070 -0.140385851
  2789c2789
  < 1 0.0896172025 0.451993998
  ---
  > 1 0.0893507490 0.451949589
  2792c2792
  < mean 0.0438630613 0.209698925
  ---
  > mean 0.0437742435 0.209684122
  2802,2805c2802,2805
  < 1 -0.101030295 0.17524870 0.20110580 0.036282088 0.006084022 0.17026380
  < 5 0.110778053 -0.19941826 0.24453772 -0.116795462 -0.320721227 0.23243629
  < 10 0.002531308 -0.08062023 -0.24942270 -0.001598721 -0.097905017 -0.21893598
  < mean 0.004093022 -0.03492993 0.06540694 -0.027370698 -0.137514074 0.06125471
  ---
  > 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
  2809,2820c2809,2820
  < d_y1_d_x1 0.042456900 0.229417496 0.094803436 -0.06902524 -0.002250030
  < d_y2_d_x1 0.012155517 -0.020716702 0.012197842 -0.01285266 0.005073742
  < d_y3_d_x1 0.022047194 -0.054605274 0.026002135 -0.02479852 0.007522865
  < d_y1_d_x2 -0.011452050 0.058560019 0.199251001 0.05163582 0.013569738
  < d_y2_d_x2 -0.000837786 -0.005741823 -0.040290314 -0.00526077 -0.001370206
  < d_y3_d_x2 -0.026793845 -0.014616861 -0.099959367 0.01175769 -0.013593743
  < d_y1_d_x3 -0.030301224 -0.121876583 0.092918728 0.11008340 -0.060047800
  < d_y2_d_x3 -0.005378568 0.016762517 -0.022630046 -0.01880130 0.003985701
  < d_y3_d_x3 0.035419815 0.029335793 0.004544513 -0.10264244 0.025575838
  < d_y1_d_x4 0.003584170 0.080691009 -0.077772973 0.03357314 0.167957472
  < d_y2_d_x4 -0.028116398 -0.005070018 -0.023018624 0.02735034 -0.046714624
  < d_y3_d_x4 -0.006824171 -0.005107026 -0.001361874 0.00398200 -0.085030603
  ---
  > 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
  2828,2833c2828,2833
  < d_y1_d_x3 0.001505740 0.0154321000 -0.014203916 -0.013293407 0.006673828
  < d_y2_d_x3 0.015165647 -0.0266157466 0.117213646 0.058311077 0.056823065
  < d_y3_d_x3 0.003371377 -0.0009362881 0.010380585 0.008622202 0.005917489
  < d_y1_d_x4 -0.013502162 -0.0174971149 0.004305815 0.006076621 -0.031808227
  < d_y2_d_x4 -0.018429702 -0.0272966834 0.109556808 -0.225947039 0.323778817
  < d_y3_d_x4 0.006853777 0.0030050037 0.009903189 -0.020072832 0.035297161
  ---
  > 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
  2837c2837
  < d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861011 0.0104287229
  ---
  > d_y3_d_x1 0.046010486 0.324969581 -0.056428455 0.073861011 0.0104287230
  2841,2846c2841,2846
  < d_y1_d_x3 0.012983596 0.039109456 -0.026558848 -0.034365047 0.0202851624
  < d_y2_d_x3 -0.001301274 -0.008952098 0.010987507 0.011845256 -0.0012106057
  < d_y3_d_x3 -0.115507603 -0.033628655 -0.004988602 0.269923323 -0.0003959795
  < d_y1_d_x4 0.014719707 -0.013026617 0.027790733 -0.021512421 -0.0382369495
  < d_y2_d_x4 -0.003887631 -0.006616929 0.006764959 -0.008450648 0.0213834597
  < d_y3_d_x4 -0.140509826 -0.046881018 -0.011309472 -0.061891233 0.3280731044
  ---
  > 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
  2850c2850
  < d_y3_d_x1 -0.004951992 -0.295571899 -0.015479741
  ---
  > d_y3_d_x1 -0.004951992 -0.295571898 -0.015479741
  2854,2859c2854,2859
  < d_y1_d_x3 0.013451277 -0.077832185 0.004093022
  < d_y2_d_x3 0.051438021 0.009566884 -0.034929929
  < d_y3_d_x3 -0.020257869 -0.277681581 0.065406939
  < d_y1_d_x4 0.172613775 -0.140384001 -0.027370698
  < d_y2_d_x4 0.359377343 0.043863061 -0.137514074
  < d_y3_d_x4 -0.017911598 0.209698925 0.061254705
  ---
  > 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
  2873c2873
  < 3: d_y3_d_x3 0.1853439871 0.366642079 0.50551750 0.61319541
  ---
  > 3: d_y3_d_x3 0.1853439871 0.366637489 0.50552383 0.61319097
  2876c2876
  < 3: d_y3_d_x4 0.1994459163 0.534532507 0.37312215 0.70905754
  ---
  > 3: d_y3_d_x4 0.1994459163 0.534517512 0.37313261 0.70904975
  2883,2888c2883,2888
  < mean: d_y1_d_x3 0.1691669425 0.225931294 0.74875392 0.45400554
  < mean: d_y2_d_x3 -0.3354308937 0.163706171 -2.04898137 0.04046394
  < mean: d_y3_d_x3 0.2291505770 0.427442164 0.53609727 0.59189133
  < mean: d_y1_d_x4 -0.1237756934 0.311128509 -0.39782820 0.69075683
  < mean: d_y2_d_x4 -0.3651579862 0.569094128 -0.64164778 0.52110190
  < mean: d_y3_d_x4 0.4305024659 0.436693584 0.98582274 0.32422010
  ---
  > 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
  2902c2902
  < 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
  2904,2905c2904,2905
  < 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
  2908c2908
  < 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
  2913c2913
  < 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
  2915,2916c2915,2916
  < 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
  2919c2919
  < 8 0.452950419 -0.45385952 0.23690022 -0.373397955 -0.49823985 0.37848422
  ---
  > 8 0.252190242 -0.38617280 0.23690022 -0.184985860 -0.46686982 0.37848422
  2934c2934
  < 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
  2936,2937c2936,2937
  < 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
  2940c2940
  < 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
  2945c2945
  < 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
  2947,2948c2947,2948
  < 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
  ---
  > 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
  2950,2951c2950,2951
  < 7 0.086045011 -0.30982678 0.25307025 -0.065460222 -0.3993349 0.33273176
  < 8 0.452971431 -0.45400374 0.23688608 -0.373425414 -0.4983585 0.37861102
  ---
  > 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
  2955,2966c2955,2966
  < [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: 0.0001401277"
  < [8] "Component 8: Mean relative difference: 0.0002238015"
  < [9] "Component 9: Mean relative difference: 0.000210251"
  < [10] "Component 10: Mean relative difference: 0.0001516191"
  < [11] "Component 11: Mean relative difference: 0.0001235967"
  < [12] "Component 12: Mean relative difference: 0.0002030518"
  ---
  > [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"
  2974c2974
  < 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
  2976,2977c2976,2977
  < 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
  2980c2980
  < 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
  2985c2985
  < 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
  2987,2988c2987,2988
  < 4 0.379363636 -0.45669306 0.20706470 -0.263632733 -0.52574490 0.37073650
  < 5 0.525443302 -0.52280316 0.28357964 -0.361142376 -0.53736075 0.49107940
  ---
  > 4 0.379363636 -0.37358331 0.24488856 -0.263632733 -0.35576345 0.56822990
  > 5 0.531838528 -0.52280316 0.23325028 -0.392204561 -0.53736075 0.45497010
  2991c2991
  < 8 0.439314522 -0.45257718 0.23844919 -0.369902900 -0.49653017 0.37789393
  ---
  > 8 0.252832312 -0.38761701 0.23844919 -0.188497672 -0.47013102 0.37789393
  2995,3006c2995,3006
  < [1] "Component 1: Mean relative difference: 0.005369977"
  < [2] "Component 2: Mean relative difference: 0.006132044"
  < [3] "Component 3: Mean relative difference: 0.01189084"
  < [4] "Component 4: Mean relative difference: 0.00404854"
  < [5] "Component 5: Mean relative difference: 0.001823183"
  < [6] "Component 6: Mean relative difference: 0.003226717"
  < [7] "Component 7: Mean relative difference: 0.007250644"
  < [8] "Component 8: Mean relative difference: 0.002461311"
  < [9] "Component 9: Mean relative difference: 0.006604925"
  < [10] "Component 10: Mean relative difference: 0.006647741"
  < [11] "Component 11: Mean relative difference: 0.005618321"
  < [12] "Component 12: Mean relative difference: 0.008122438"
  ---
  > [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"
  3008,3019c3008,3019
  < [1] "Component 1: Mean relative difference: 0.005454364"
  < [2] "Component 2: Mean relative difference: 0.005977849"
  < [3] "Component 3: Mean relative difference: 0.01196682"
  < [4] "Component 4: Mean relative difference: 0.00413811"
  < [5] "Component 5: Mean relative difference: 0.001884289"
  < [6] "Component 6: Mean relative difference: 0.003337213"
  < [7] "Component 7: Mean relative difference: 0.007262667"
  < [8] "Component 8: Mean relative difference: 0.002357"
  < [9] "Component 9: Mean relative difference: 0.006716894"
  < [10] "Component 10: Mean relative difference: 0.006720665"
  < [11] "Component 11: Mean relative difference: 0.00565651"
  < [12] "Component 12: Mean relative difference: 0.008324466"
  ---
  > [1] "Component 1: Mean relative difference: 0.005627834"
  > [2] "Component 2: Mean relative difference: 0.007624478"
  > [3] "Component 3: Mean relative difference: 0.009017387"
  > [4] "Component 4: Mean relative difference: 0.003117591"
  > [5] "Component 5: Mean relative difference: 0.001876911"
  > [6] "Component 6: Mean relative difference: 0.002632088"
  > [7] "Component 7: Mean relative difference: 0.00515424"
  > [8] "Component 8: Mean relative difference: 0.002203597"
  > [9] "Component 9: Mean relative difference: 0.005525479"
  > [10] "Component 10: Mean relative difference: 0.009180788"
  > [11] "Component 11: Mean relative difference: 0.005936969"
  > [12] "Component 12: Mean relative difference: 0.007245039"
  3031c3031
  < 5 2.408126e-01 -0.072273567 -0.1081276333 -0.0454836924 0.0196948221
  ---
  > 5 4.804800e-01 0.066989903 -0.1865386538 -0.2400866050 0.0134390757
  3034,3035c3034,3035
  < 1 0.0232684661 0.0871260366 -0.0173514905 -0.0453020659 -0.0615101257
  < 5 -0.0070121003 -0.1571155696 0.0098833010 0.0594979783 0.1147195929
  ---
  > 1 0.0232684661 0.0871270271 -0.0173514905 -0.0453053466 -0.0615087519
  > 5 -0.1876624140 -0.1072915448 0.1086954968 0.3284277562 0.0449074842
  3038,3039c3038,3039
  < 1 -0.0069782753 -0.0251602576
  < 5 -0.0347353552 0.0141002410
  ---
  > 1 -0.0069782753 -0.0251646531
  > 5 -0.2420002118 0.1382809232
  3046c3046
  < 5 -0.072273567 0.3353120 0.064671824 0.074321413 -0.06623061 -0.077840346
  ---
  > 5 0.066989903 0.3353120 -0.024244383 -0.023043764 -0.06623061 -0.137910505
  3049,3050c3049,3050
  < 1 0.007317627 -0.1185118 0.008344729 -1.435656e-03 -0.2778544 0.003013427
  < 5 -0.087511367 0.0828829 0.097547220 -1.218876e-01 -0.1481576 0.038766886
  ---
  > 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
  3057c3057
  < 5 -0.1081276333 0.064671824 0.2587506 0.021843965 -0.008040396 -0.01687398
  ---
  > 5 -0.1865386538 -0.024244383 0.3072387 0.095206563 -0.060415748 0.12725063
  3060,3062c3060,3062
  < 1 0.018160289 0.009080067 -0.11249475 -0.005673772 0.002926144 -0.21017089
  < 5 0.045187103 -0.012103853 -0.08350623 -0.039891084 0.003081167 -0.06042672
  < 10 0.001191273 0.002304536 -0.06426513 -0.000436470 -0.001457520 -0.10512274
  ---
  > 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
  3068c3068
  < 5 -0.0454836924 0.074321413 0.021843965 0.20173900 -0.06971806 -0.05297516
  ---
  > 5 -0.2400866050 -0.023043764 0.095206563 0.23267476 -0.05216925 0.06279416
  3071,3072c3071,3072
  < 1 -0.058174958 0.013057235 0.019148060 0.030289755 0.01725109 0.044886118
  < 5 0.002256932 0.056319955 -0.058291197 -0.226021852 -0.03024308 0.045833215
  ---
  > 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
  3078,3080c3078,3080
  < 1 0.0111026042 -0.01922027 -0.014252445 -0.02228280 0.1473312 -0.008096171
  < 5 0.0196948221 -0.06623061 -0.008040396 -0.06971806 0.1886225 0.007834977
  < 10 0.0001431043 0.08898879 -0.003951327 -0.00361963 0.1238768 0.008232387
  ---
  > 1 0.0111026042 -0.01922027 -0.014252445 -0.02228280 0.1473312 -0.0080961714
  > 5 0.0134390757 -0.06623061 -0.060415748 -0.05216925 0.1886225 -0.0004257871
  > 10 0.0001431043 0.08898879 -0.003951327 -0.00361963 0.1238768 0.0082323867
  3082,3083c3082,3083
  < 1 0.0058095805 0.02936803 4.221122e-02 -0.0033215869 0.0008094348
  < 5 0.0151035624 -0.08515210 5.809216e-02 0.0867682825 -0.1134354294
  ---
  > 1 0.0058099279 0.02936803 4.221189e-02 -0.0033222126 0.0008094348
  > 5 0.0272786323 -0.08515210 8.360613e-02 0.0417908511 -0.1134354294
  3086,3087c3086,3087
  < 1 0.044051716
  < 5 0.028856227
  ---
  > 1 0.044052368
  > 5 0.102497491
  3093,3095c3093,3095
  < 1 0.0232684661 -0.015126608 0.02281127 -0.02627183 -0.008096171 0.1706051
  < 5 -0.0070121003 -0.077840346 -0.01687398 -0.05297516 0.007834977 0.2915086
  < 10 0.0005193529 0.002116951 0.06569682 -0.01075533 0.008232387 0.1622181
  ---
  > 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
  3097,3098c3097,3098
  < 1 0.001139331 0.043384486 -0.04573976 -0.004965362 0.040292742 -0.08977163
  < 5 0.059426890 0.007082827 -0.14270397 -0.137948522 0.129146170 0.01104636
  ---
  > 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
  3104,3105c3104,3105
  < 1 0.0871260366 0.007317627 0.018160289 -0.058174958 0.0058095805 0.001139331
  < 5 -0.1571155696 -0.087511367 0.045187103 0.002256932 0.0151035624 0.059426890
  ---
  > 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
  3108,3109c3108,3109
  < 1 0.052185753 -0.0151312854 -0.025646625 -0.029438236 -0.0148970615
  < 5 0.428674228 -0.1570463540 -0.203177625 -0.062001729 0.1472806636
  ---
  > 1 0.052186445 -0.0151297513 -0.025646749 -0.029437198 -0.0148938303
  > 5 0.351382199 -0.1650663379 -0.117904178 0.239711594 0.1159836760
  3112,3113c3112,3113
  < 1 -0.033772711
  < 5 -0.013825168
  ---
  > 1 -0.033773829
  > 5 -0.101137100
  3120c3120
  < 5 0.0098833010 0.0828829 -0.012103853 0.056319955 -0.08515210 0.007082827
  ---
  > 5 0.1086954968 0.0828829 0.026173001 -0.018698589 -0.08515210 -0.016429303
  3123,3124c3123,3124
  < 1 -0.0151312854 0.18665206 -0.032578408 6.162501e-03 0.240208643 -0.039116418
  < 5 -0.1570463540 0.33797782 0.014446363 -1.078895e-01 0.008438294 -0.034772701
  ---
  > 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
  3130,3131c3130,3131
  < 1 -0.0453020659 0.008344729 -0.11249475 0.019148060 4.221122e-02
  < 5 0.0594979783 0.097547220 -0.08350623 -0.058291197 5.809216e-02
  ---
  > 1 -0.0453053466 0.008347515 -0.11249454 0.019150077 4.221189e-02
  > 5 0.3284277562 0.178618168 -0.30172442 -0.216184097 8.360613e-02
  3134,3135c3134,3135
  < 1 -0.04573976 -0.025646625 -0.032578408 0.22216863 0.0145728477 -0.03323258
  < 5 -0.14270397 -0.203177625 0.014446363 0.44274147 0.2531675452 -0.21888587
  ---
  > 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
  3138,3140c3138,3140
  < 1 0.27241270
  < 5 0.03876211
  < 10 0.11801276
  ---
  > 1 0.2724130
  > 5 0.3431578
  > 10 0.1180128
  3145,3147c3145,3147
  < 1 -0.0615101257 -1.435656e-03 -0.005673772 0.030289755 -0.0033215869
  < 5 0.1147195929 -1.218876e-01 -0.039891084 -0.226021852 0.0867682825
  < 10 -0.0001952407 5.835166e-05 -0.000436470 0.001971316 -0.0001680563
  ---
  > 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
  3149,3150c3149,3150
  < 1 -0.004965362 -0.029438236 6.162501e-03 0.0145728477 0.0216798379
  < 5 -0.137948522 -0.062001729 -1.078895e-01 0.2531675452 0.8763857798
  ---
  > 1 -0.004963502 -0.029437198 6.162623e-03 0.0145684749 0.0216792771
  > 5 -0.099438861 0.239711594 -1.011780e-01 0.1420128834 0.5353957063
  3153,3154c3153,3154
  < 1 2.275904e-03 0.0090737347
  < 5 -4.954754e-02 -0.2247551237
  ---
  > 1 2.274581e-03 0.0090677567
  > 5 -9.154354e-03 -0.1430645150
  3161c3161
  < 5 -0.0347353552 -0.1481576 0.003081167 -0.03024308 -0.1134354294 0.129146170
  ---
  > 5 -0.2420002118 -0.1481576 0.180444020 0.11131507 -0.1134354294 0.252703411
  3164,3165c3164,3165
  < 1 -0.0148970615 0.240208643 -0.03323258 2.275904e-03 0.6053376 -0.02028091
  < 5 0.1472806636 0.008438294 -0.21888587 -4.954754e-02 0.5647923 -0.05369860
  ---
  > 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
  3171,3177c3171,3177
  < 1 -0.0251602576 0.003013427 -0.21017089 0.044886118 0.044051716 -0.08977163
  < 5 0.0141002410 0.038766886 -0.06042672 0.045833215 0.028856227 0.01104636
  < 10 -0.0005932655 -0.005051618 -0.10512274 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 -0.033772711 -0.039116418 0.27241270 0.0090737347 -0.02028091 0.5218452
  < 5 -0.013825168 -0.034772701 0.03876211 -0.2247551237 -0.05369860 0.2294185
  < 10 -0.002552456 0.003899246 0.11801276 0.0008214205 0.01105439 0.2112263
  ---
  > 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
  3187c3187
  < d_y1_d_x3 0.087126037 0.007317627 0.018160289 -0.058174958 0.0058095805
  ---
  > d_y1_d_x3 0.087127027 0.007315706 0.018159097 -0.058175429 0.0058099279
  3189,3190c3189,3190
  < d_y3_d_x3 -0.045302066 0.008344729 -0.112494747 0.019148060 0.0422112244
  < d_y1_d_x4 -0.061510126 -0.001435656 -0.005673772 0.030289755 -0.0033215869
  ---
  > 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
  3192c3192
  < d_y3_d_x4 -0.025160258 0.003013427 -0.210170893 0.044886118 0.0440517158
  ---
  > d_y3_d_x4 -0.025164653 0.003016481 -0.210170649 0.044888881 0.0440523685
  3194,3218c3194,3218
  < d_y1_d_x1 0.023268466 0.087126037 -0.017351490 -0.045302066 -0.061510126
  < d_y2_d_x1 -0.015126608 0.007317627 -0.118511805 0.008344729 -0.001435656
  < d_y3_d_x1 0.022811267 0.018160289 0.009080067 -0.112494747 -0.005673772
  < d_y1_d_x2 -0.026271829 -0.058174958 0.013057235 0.019148060 0.030289755
  < d_y2_d_x2 -0.008096171 0.005809581 0.029368034 0.042211224 -0.003321587
  < d_y3_d_x2 0.170605098 0.001139331 0.043384486 -0.045739764 -0.004965362
  < d_y1_d_x3 0.001139331 0.052185753 -0.015131285 -0.025646625 -0.029438236
  < d_y2_d_x3 0.043384486 -0.015131285 0.186652060 -0.032578408 0.006162501
  < d_y3_d_x3 -0.045739764 -0.025646625 -0.032578408 0.222168632 0.014572848
  < d_y1_d_x4 -0.004965362 -0.029438236 0.006162501 0.014572848 0.021679838
  < d_y2_d_x4 0.040292742 -0.014897062 0.240208643 -0.033232584 0.002275904
  < d_y3_d_x4 -0.089771630 -0.033772711 -0.039116418 0.272412697 0.009073735
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.0069782753 -0.025160258
  < d_y2_d_x1 -0.2778543662 0.003013427
  < d_y3_d_x1 0.0029261437 -0.210170893
  < d_y1_d_x2 0.0172510865 0.044886118
  < d_y2_d_x2 0.0008094348 0.044051716
  < d_y3_d_x2 0.0402927423 -0.089771630
  < d_y1_d_x3 -0.0148970615 -0.033772711
  < d_y2_d_x3 0.2402086433 -0.039116418
  < d_y3_d_x3 -0.0332325839 0.272412697
  < d_y1_d_x4 0.0022759037 0.009073735
  < d_y2_d_x4 0.6053376120 -0.020280911
  < d_y3_d_x4 -0.0202809108 0.521845242
  ---
  > 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
  3224c3224
  < 5 0.144928910 0.0130994340 -0.012655498 -0.06714164 0.006690779 -0.04385058
  ---
  > 5 0.279256250 0.0130994340 -0.042653983 -0.18347254 0.006690779 -0.05041527
  3227,3228c3227,3228
  < 1 0.11544706 -0.016286972 -0.049332760 -0.08098314 4.840572e-03
  < 5 -0.16883162 0.021016522 0.088007379 0.13788970 -4.027889e-02
  ---
  > 1 0.11544880 -0.016286972 -0.049332760 -0.08098175 4.840572e-03
  > 5 0.04682366 0.021016522 0.092581498 -0.02604583 -4.027889e-02
  3232c3232
  < 5 -0.0153210777
  ---
  > 5 0.0331734640
  3238,3244c3238,3244
  < 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 3.416556e-05 -6.254719e-06 -8.454504e-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 0.000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000
  < 5 -0.168987 0.02086109 0.08800738 0.1379785 -0.04019007 -0.01532108
  < 10 0.000000 0.00000000 0.00000000 0.0000000 0.00000000 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
  3250c3250
  < 5 0.0000000 0.00000000 0.00000000 0.34181432 -0.058139940 -0.12749064
  ---
  > 5 0.0000000 0.00000000 0.00000000 0.24661116 -0.058139940 -0.14174766
  3253c3253
  < 1 0.1154713 -0.01628697 -0.04937162 -0.08099701 0.004840572 0.003774758
  ---
  > 1 0.1154731 -0.01628697 -0.04937162 -0.08099563 0.004840572 0.003774758
  3260,3262c3260,3262
  < 1 -0.253201499 0.0045815729 0.004845272 0.17472547 -0.022687772 -0.05669121
  < 5 -0.090586260 -0.0081876608 0.007910183 0.04196616 -0.004182000 0.02740834
  < 10 -0.005951165 0.0002923537 0.002529713 0.05823090 -0.005853647 -0.02597354
  ---
  > 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
  3265c3265
  < 5 0.51443826 -0.078108987 -0.138729325 -0.08610890 2.540190e-02 0.009148238
  ---
  > 5 0.40105691 -0.078108987 -0.149774526 0.01605382 2.540190e-02 -0.020961011
  3272c3272
  < 5 0.119070851 1.076225e-02 -0.0103975173 -0.05516230 0.005497018 -0.03602681
  ---
  > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018 -0.04142023
  3275,3276c3275,3276
  < 1 0.049263892 -0.0072386541 -0.021016522 0.0043786206 -0.0029277489
  < 5 -0.138744571 0.0179078974 0.072242212 0.5222431239 -0.0980041830
  ---
  > 1 0.049267708 -0.0072386541 -0.021049829 0.0043827839 -0.0029277489
  > 5 0.037997383 0.0179078974 0.077016171 0.4085231613 -0.0980041830
  3279,3280c3279,3280
  < 1 -0.015290625
  < 5 -0.095586058
  ---
  > 1 -0.015335034
  > 5 -0.063576810
  3286,3296c3286,3292
  < 1 -0.0067049148 -0.2093069 -0.011106030 0.02359868 -0.07427991 -0.019690253
  < 5 -0.0129035550 0.0601708 0.009013214 0.02362359 -0.11310591 -0.004653031
  < 10 0.0001492367 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
  < 1 -0.0138047559 0.24398261 0.026548208 0.0034507119 0.31725733
  < 5 -0.0014099832 0.05356826 -0.002808864 -0.0507593967 0.06363798
  < 10 0.0008881784 -0.22631341 -0.010202950 0.0003552714 -0.30195846
  < d_y3_d_x4
  < 1 0.026167957
  < 5 0.009015011
  < 10 -0.011679546
  ---
  > 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
  3301,3307c3297,3303
  < 1 -1.019913e-02 0.1193442 0.003567316 0.00000000 0.0000000 0.000000000
  < 5 -6.160382e-02 0.4058003 0.037210326 0.02362359 -0.1131059 -0.004653031
  < 10 -2.590150e-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 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  < 5 -0.001287859 0.05372369 -0.002808864 -0.05062617 0.06354917 0.009015011
  < 10 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
  ---
  > 1 -1.019913e-02 0.1193442 0.003567316 0.0000000 0.0000000 0.0000000
  > 5 -6.151580e-02 0.4058003 0.034744322 0.0198257 -0.1131059 0.0195173
  > 10 -2.590150e-06 0.3469243 0.014366785 0.0000000 0.0000000 0.0000000
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
  > 5 0.02082223 0.05372369 -0.03748113 0.03248513 0.06354917 -0.03694822
  > 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
  3313c3309
  < 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
  3316c3312
  < 1 -0.01380476 0.2439826 0.02654821 0.003450712 0.3172573 0.02616796
  ---
  > 1 -0.01380233 0.2439826 0.02654821 0.003449324 0.3172573 0.02616796
  3323,3333c3319,3325
  < 1 0.0071596671 0.22350287 0.011859282 -0.025199228 0.07931785 0.021025719
  < 5 0.0080652285 -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
  < 1 0.0112627260 0.06748226 -0.013584606 -3.666512e-03 -0.33981706
  < 5 -0.0612152425 0.37223831 0.038775741 3.210765e-02 -0.03903544
  < 10 0.0008473737 -0.15659907 -0.009309854 8.881784e-05 -0.37872483
  < d_y3_d_x4
  < 1 -0.027766678
  < 5 -0.006528111
  < 10 -0.015010215
  ---
  > 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
  3339c3331
  < 5 -1.060132e-02 0.04943519 0.007405086 0.019408691 -0.09292568 -0.003822842
  ---
  > 5 -3.846446e-02 0.04943519 0.019816285 0.016288417 -0.09292568 0.016035047
  3342,3343c3334,3335
  < 1 -5.891641e-03 0.10417223 0.011460277 -0.0020252558 0.4646756 0.025875496
  < 5 -8.548717e-04 0.04400924 -0.002098322 -0.1033926150 0.4574923 0.044804251
  ---
  > 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
  3350c3342
  < 5 -0.0232916710 -0.007314459 0.1833577 0.03430460 -0.013690362 0.02361125
  ---
  > 5 -0.0739470342 -0.007314459 0.2213006 0.06229383 -0.013690362 0.05968877
  3353,3354c3345,3346
  < 1 -0.028610447 0.025801583 0.2423811 0.01174061 0.02504663 0.2854494
  < 5 0.017896795 0.003830269 -0.1007638 -0.08650858 0.03166356 -0.1405098
  ---
  > 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
  3360,3366c3352,3358
  < 1 -3.172708e-02 0.003760221 0.1006422 0.0000000 0.00000000 0.00000000
  < 5 -1.103577e-01 0.048919331 0.4007928 0.0343046 -0.01369036 0.02361125
  < 10 -4.433343e-06 0.014931963 0.2725413 0.0000000 0.00000000 0.00000000
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.0000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
  < 5 0.0178968 0.003830269 -0.100886 -0.08650858 0.03166356 -0.1406431
  < 10 0.0000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
  ---
  > 1 -3.172708e-02 0.003760221 0.1006422 0.00000000 0.00000000 0.00000000
  > 5 -1.245229e-01 0.048919331 0.3650462 0.06229383 -0.01369036 0.05968877
  > 10 -4.433343e-06 0.014931963 0.2725413 0.00000000 0.00000000 0.00000000
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  > 1 0.00000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
  > 5 -0.03503864 0.003830269 -0.146827 -0.03392842 0.03166356 -0.2554845
  > 10 0.00000000 0.000000000 0.000000 0.00000000 0.00000000 0.0000000
  3372c3364
  < 5 0.00000000 0.00000000 0.0000000 -0.076053111 0.03522897 0.4244040
  ---
  > 5 0.00000000 0.00000000 0.0000000 -0.062229064 0.03522897 0.4247349
  3375c3367
  < 1 -0.02861045 0.02580158 0.2423811 0.01174061 0.02504663 0.2854494
  ---
  > 1 -0.02860559 0.02580158 0.2423811 0.01173783 0.02504663 0.2854494
  3383c3375
  < 5 0.014558209 0.004571824 -0.1146057 -0.02144172 0.008557013 -0.01475796
  ---
  > 5 0.046219800 0.004571824 -0.1383216 -0.03893609 0.008557013 -0.03730783
  3386,3388c3378,3380
  < 1 0.022109401 -0.011103506 0.0008464317 -0.012528867 -0.02535749 -0.30482283
  < 5 -0.122436938 0.045699685 0.4643419200 0.053290705 -0.02069456 0.08828493
  < 10 0.003317847 -0.009184429 -0.1307384724 -0.001909584 -0.01529332 -0.29998226
  ---
  > 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
  3394c3386
  < 5 -0.0191359962 -0.006009421 0.15064319 0.02818401 -0.011247742 0.01939856
  ---
  > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
  3397,3398c3389,3390
  < 1 -0.012213668 0.010580425 0.10349777 -0.003479158 0.025478343 0.3815752
  < 5 0.014965806 0.003463896 -0.08363310 -0.181589621 0.074854141 0.2836864
  ---
  > 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
  3403,3410c3395,3402
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2 d_y3_d_x2
  < 1 0.0119593147 -0.0174661633 2.470719e-03 -0.107503637 0.060236172 0.057426766
  < 5 0.0094047273 -0.3102622052 6.126323e-03 -0.217573304 0.141162941 0.038057502
  < 10 0.0002986817 -0.0001412116 5.869527e-06 -0.007937815 0.006272141 0.005869358
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 0.044658201 -0.029354297 -0.031555314 -0.0024556746 7.283063e-03
  < 5 0.254973820 -0.353705953 -0.033173464 0.4805933429 2.865708e-01
  < 10 0.001720846 -0.001033895 -0.000577316 0.0004884981 3.885781e-05
  ---
  > 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
  3413c3405
  < 5 -0.0701660952
  ---
  > 5 -0.1066702282
  3420c3412
  < 5 0.11202697 -0.1522331796 -0.134166079 0.10109648 -0.004554075 0.25411486
  ---
  > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
  3424c3416
  < 5 0.02273737 -0.0339173134 -0.31212810 -0.502353714 0.1727062937 0.175415238
  ---
  > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937 0.091260333
  3430,3432c3422,3424
  < 1 -4.065696e-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 -5.019252e-05 0.1066395 -0.12691634 0.0005696241 0.08873839 -0.08386716
  ---
  > 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
  3434,3435c3426,3427
  < 1 -0.0050659130 -0.22102320 0.27909619 -0.0002074729 -0.26449953 0.34100500
  < 5 -0.0508038056 -0.23672175 0.24453772 -0.0849098569 -0.46087578 0.23243629
  ---
  > 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
  3446c3438
  < d_y1_d_x3 0.115447062 0.000000000 0.115471348 -0.084376424 0.049263892
  ---
  > d_y1_d_x3 0.115448796 0.000000000 0.115473082 -0.084376424 0.049267708
  3448,3449c3440,3441
  < d_y3_d_x3 -0.049332760 0.000000000 -0.049371618 0.035596448 -0.021016522
  < d_y1_d_x4 -0.080983137 0.000000000 -0.080997015 0.086501639 0.004378621
  ---
  > 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
  3451c3443
  < d_y3_d_x4 0.003752554 0.000000000 0.003774758 -0.004019007 -0.015290625
  ---
  > d_y3_d_x4 0.003752554 0.000000000 0.003774758 -0.004019007 -0.015335034
  3459c3451
  < d_y1_d_x3 -0.013804756 0.000000000 -0.013804756 0.011262726 -0.005891641
  ---
  > d_y1_d_x3 -0.013802327 0.000000000 -0.013802327 0.011260297 -0.005891121
  3461,3462c3453,3454
  < d_y3_d_x3 0.026548208 0.000000000 0.026548208 -0.013584606 0.011460277
  < d_y1_d_x4 0.003450712 0.000000000 0.003450712 -0.003666512 -0.002025256
  ---
  > 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
  3464c3456
  < d_y3_d_x4 0.026167957 0.000000000 0.026167957 -0.027766678 0.025875496
  ---
  > d_y3_d_x4 0.026167957 0.000000000 0.026167957 -0.027766678 0.025842189
  3472c3464
  < d_y1_d_x3 -0.02861045 0.000000000 -0.028610447 0.0221094014 -0.012213668
  ---
  > d_y1_d_x3 -0.02860559 0.000000000 -0.028605590 0.0221094014 -0.012217484
  3475c3467
  < d_y1_d_x4 0.01174061 0.000000000 0.011740608 -0.0125288668 -0.003479158
  ---
  > d_y1_d_x4 0.01173783 0.000000000 0.011737833 -0.0125288668 -0.003483321
  3485c3477
  < d_y1_d_x3 0.044658201 -0.105545954 -0.0050659130
  ---
  > d_y1_d_x3 0.044659935 -0.105545954 -0.0050676477
  3488c3480
  < d_y1_d_x4 -0.002455675 0.023814978 -0.0002074729
  ---
  > d_y1_d_x4 -0.002448736 0.023814978 -0.0002144118
  3499c3491
  < 1: d_y1_d_x3 0.049373 0.228442 0.216 0.829
  ---
  > 1: d_y1_d_x3 0.049373 0.228444 0.216 0.829
  3502c3494
  < 1: d_y1_d_x4 -0.035715 0.147241 -0.243 0.808
  ---
  > 1: d_y1_d_x4 -0.035715 0.147239 -0.243 0.808
  3504,3505c3496,3497
  < 1: d_y3_d_x4 0.301966 0.722389 0.418 0.676
  < 2: d_y1_d_x1 0.466050 0.490727 0.950 0.342
  ---
  > 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
  3507,3508c3499,3500
  < 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
  3510,3511c3502,3503
  < 2: d_y3_d_x2 -0.163006 0.539915 -0.302 0.763
  < 2: d_y1_d_x3 0.525069 0.654732 0.802 0.423
  ---
  > 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
  3513,3514c3505,3506
  < 2: d_y3_d_x3 0.279124 0.665388 0.419 0.675
  < 2: d_y1_d_x4 -0.361028 0.936155 -0.386 0.700
  ---
  > 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
  3516c3508
  < 2: d_y3_d_x4 0.488327 0.478977 1.020 0.308
  ---
  > 2: d_y3_d_x4 0.455530 0.691564 0.659 0.510
  3554c3546
  < 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
  3556c3548
  < 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
  3559c3551
  < 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
  3561c3553
  < 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
  3570c3562
  < 5 2.408126e-01 -0.072273567 -0.1081276333 -0.0454836924 0.0196948221
  ---
  > 5 4.804800e-01 0.066989903 -0.1865386538 -0.2400866050 0.0134390757
  3572c3564
  < mean 9.750102e-02 -0.013530169 -0.0236175626 -0.0152662195 0.0036925442
  ---
  > mean 1.415407e-01 0.006460991 -0.0348547378 -0.0573521650 0.0054981909
  3574,3575c3566,3567
  < 1 0.0232684661 0.0871260366 -0.0173514905 -0.0453020659 -0.0615101257
  < 5 -0.0070121003 -0.1571155696 0.0098833010 0.0594979783 0.1147195929
  ---
  > 1 0.0232684661 0.0871270271 -0.0173514905 -0.0453053466 -0.0615087519
  > 5 -0.1876624140 -0.1072915448 0.1086954968 0.3284277562 0.0449074842
  3577c3569
  < mean -0.0042360605 -0.0316897968 0.0015878532 0.0116513033 0.0238111479
  ---
  > mean -0.0317096952 -0.0021453299 0.0082663373 0.0472242051 -0.0012198391
  3579,3580c3571,3572
  < 1 -0.0069782753 -0.0251602576
  < 5 -0.0347353552 0.0141002410
  ---
  > 1 -0.0069782753 -0.0251646531
  > 5 -0.2420002118 0.1382809232
  3582c3574
  < mean -0.0117827205 -0.0057584186
  ---
  > mean -0.0433438979 0.0119531378
  3588c3580
  < 5 -0.072273567 0.3353120 0.064671824 0.074321413 -0.066230609 -0.077840346
  ---
  > 5 0.066989903 0.3353120 -0.024244383 -0.023043764 -0.066230609 -0.137910505
  3590c3582
  < mean -0.013530169 0.1487773 0.008120735 0.009650611 -0.001428115 -0.028898252
  ---
  > mean 0.006460991 0.1487773 -0.009259879 -0.003117154 -0.001428115 -0.038992651
  3592,3593c3584,3585
  < 1 0.007317627 -0.118511805 0.008344729 -1.435656e-03 -0.2778544
  < 5 -0.087511367 0.082882900 0.097547220 -1.218876e-01 -0.1481576
  ---
  > 1 0.007315706 -0.118511805 0.008347515 -1.435210e-03 -0.2778544
  > 5 -0.091084366 0.082882900 0.178618168 -3.680357e-02 -0.1481576
  3595c3587
  < mean -0.013266447 0.001858887 0.035312988 -1.617131e-02 -0.1055772
  ---
  > mean -0.014430630 0.001858887 0.048502770 -5.339526e-03 -0.1055772
  3597,3598c3589,3590
  < 1 0.003013427
  < 5 0.038766886
  ---
  > 1 0.003016481
  > 5 0.087378268
  3600c3592
  < mean 0.021157719
  ---
  > mean 0.033193948
  3604,3618c3596,3605
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y1_d_x2 d_y2_d_x2
  < 1 0.0012381527 0.003222529 0.11052990 -0.024097591 -0.014252445
  < 5 -0.1081276333 0.064671824 0.25875055 0.021843965 -0.008040396
  < 10 0.0002842754 0.006039631 0.13769158 -0.003939484 -0.003951327
  < mean -0.0236175626 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 0.018160289 0.009080067 -0.11249475 -0.0056737722
  < 5 -0.016873981 0.045187103 -0.012103853 -0.08350623 -0.0398910836
  < 10 0.065696821 0.001191273 0.002304536 -0.06426513 -0.0004364700
  < mean -0.005257584 0.005814673 0.013242640 -0.01221874 0.0005740449
  < d_y2_d_x4 d_y3_d_x4
  < 1 0.002926144 -0.21017089
  < 5 0.003081167 -0.06042672
  < 10 -0.001457520 -0.10512274
  < mean 0.015883860 -0.04709020
  ---
  > 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
  3622,3636c3609,3623
  < 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 -0.0898724972 -0.007611475 -0.024097591 0.10986178 -0.02228280 -0.02627183
  < 5 -0.0454836924 0.074321413 0.021843965 0.20173900 -0.06971806 -0.05297516
  < 10 -0.0007541722 -0.002325959 -0.003939484 0.01073828 -0.00361963 -0.01075533
  < mean -0.0152662195 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 -0.058174958 0.013057235 0.019148060 0.030289755 0.017251086
  < 5 0.002256932 0.056319955 -0.058291197 -0.226021852 -0.030243083
  < 10 -0.002824503 0.002001756 0.005117699 0.001971316 0.003363470
  < mean 0.008838430 0.006050015 -0.022374776 -0.051988095 0.002607258
  < d_y3_d_x4
  < 1 0.044886118
  < 5 0.045833215
  < 10 0.008002528
  < mean 0.022190088
  ---
  > 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
  3641,3644c3628,3631
  < 1 0.0111026042 -0.019220268 -0.014252445 -0.02228280 0.1473312 -0.008096171
  < 5 0.0196948221 -0.066230609 -0.008040396 -0.06971806 0.1886225 0.007834977
  < 10 0.0001431043 0.088988794 -0.003951327 -0.00361963 0.1238768 0.008232387
  < mean 0.0036925442 -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
  3646,3647c3633,3634
  < 1 0.0058095805 0.029368034 4.221122e-02 -0.0033215869 0.0008094348
  < 5 0.0151035624 -0.085152095 5.809216e-02 0.0867682825 -0.1134354294
  ---
  > 1 0.0058099279 0.029368034 4.221189e-02 -0.0033222126 0.0008094348
  > 5 0.0272786323 -0.085152095 8.360613e-02 0.0417908511 -0.1134354294
  3649c3636
  < mean -0.0017696797 -0.005699656 3.527016e-02 0.0152638103 -0.0533113765
  ---
  > mean 0.0011689709 -0.005699656 4.236526e-02 0.0076070322 -0.0533113765
  3651,3652c3638,3639
  < 1 0.044051716
  < 5 0.028856227
  ---
  > 1 0.044052368
  > 5 0.102497491
  3654c3641
  < mean 0.026527892
  ---
  > mean 0.043551983
  3659,3662c3646,3649
  < 1 0.0232684661 -0.015126608 0.022811267 -0.02627183 -0.008096171 0.1706051
  < 5 -0.0070121003 -0.077840346 -0.016873981 -0.05297516 0.007834977 0.2915086
  < 10 0.0005193529 0.002116951 0.065696821 -0.01075533 0.008232387 0.1622181
  < mean -0.0042360605 -0.028898252 -0.005257584 -0.01504640 -0.001703862 0.1630564
  ---
  > 1 0.0232684661 -0.015126608 0.02281127 -0.026271829 -0.0080961714 0.1706051
  > 5 -0.1876624140 -0.137910505 0.12725063 0.062794165 -0.0004257871 0.4303697
  > 10 0.0005193529 0.002116951 0.06569682 -0.010755334 0.0082323867 0.1622181
  > mean -0.0317096952 -0.038992651 0.02335124 0.003498611 -0.0040483856 0.1882394
  3664,3665c3651,3652
  < 1 0.001139331 0.043384486 -0.04573976 -0.004965362 0.040292742
  < 5 0.059426890 0.007082827 -0.14270397 -0.137948522 0.129146170
  ---
  > 1 0.001140717 0.043384486 -0.04574026 -0.004963502 0.040292742
  > 5 0.024521697 -0.016429303 -0.33968675 -0.099438861 0.252703411
  3667c3654
  < mean -0.008752937 0.026778269 -0.01035973 -0.007330764 0.047085069
  ---
  > mean -0.012397157 0.029202646 -0.04498710 -0.006966362 0.069504315
  3669,3670c3656,3657
  < 1 -0.08977163
  < 5 0.01104636
  ---
  > 1 -0.08977236
  > 5 -0.15394458
  3672c3659
  < mean -0.02050374
  ---
  > mean -0.04648243
  3677,3678c3664,3665
  < 1 0.0871260366 0.007317627 0.018160289 -0.058174958 0.0058095805
  < 5 -0.1571155696 -0.087511367 0.045187103 0.002256932 0.0151035624
  ---
  > 1 0.0871270271 0.007315706 0.018159097 -0.058175429 0.0058099279
  > 5 -0.1072915448 -0.091084366 0.030100238 -0.011462620 0.0272786323
  3680c3667
  < mean -0.0316897968 -0.013266447 0.005814673 0.008838430 -0.0017696797
  ---
  > mean -0.0021453299 -0.014430630 0.001896839 -0.010899192 0.0011689709
  3682,3683c3669,3670
  < 1 0.001139331 0.052185753 -0.0151312854 -0.025646625 -0.029438236
  < 5 0.059426890 0.428674228 -0.1570463540 -0.203177625 -0.062001729
  ---
  > 1 0.001140717 0.052186445 -0.0151297513 -0.025646749 -0.029437198
  > 5 0.024521697 0.351382199 -0.1650663379 -0.117904178 0.239711594
  3685c3672
  < mean -0.008752937 0.037736126 -0.0154304426 -0.013658933 0.012833507
  ---
  > mean -0.012397157 0.045309355 -0.0168889836 -0.005554718 0.037343626
  3687,3688c3674,3675
  < 1 -0.0148970615 -0.033772711
  < 5 0.1472806636 -0.013825168
  ---
  > 1 -0.0148938303 -0.033773829
  > 5 0.1159836760 -0.101137100
  3690c3677
  < mean 0.0193694911 -0.002804806
  ---
  > mean 0.0186870720 -0.015933106
  3695,3698c3682,3685
  < 1 -0.0173514905 -0.118511805 0.009080067 0.013057235 0.029368034
  < 5 0.0098833010 0.082882900 -0.012103853 0.056319955 -0.085152095
  < 10 -0.0001024627 -0.108914604 0.002304536 0.002001756 -0.067850555
  < mean 0.0015878532 0.001858887 0.013242640 0.006050015 -0.005699656
  ---
  > 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
  3700,3701c3687,3688
  < 1 0.043384486 -0.0151312854 0.18665206 -0.032578408 6.162501e-03
  < 5 0.007082827 -0.1570463540 0.33797782 0.014446363 -1.078895e-01
  ---
  > 1 0.043384486 -0.0151297513 0.18665206 -0.032581347 6.162623e-03
  > 5 -0.016429303 -0.1650663379 0.33797782 0.037191700 -1.011780e-01
  3703c3690
  < mean 0.026778269 -0.0154304426 0.07190068 -0.027978953 -1.604826e-02
  ---
  > mean 0.029202646 -0.0168889836 0.07190068 -0.032081138 -1.291427e-02
  3705,3706c3692,3693
  < 1 0.240208643 -0.039116418
  < 5 0.008438294 -0.034772701
  ---
  > 1 0.240208643 -0.039119566
  > 5 0.008438294 -0.075392389
  3708c3695
  < mean 0.052186706 -0.035171739
  ---
  > mean 0.052186706 -0.051216532
  3713,3714c3700,3701
  < 1 -0.0453020659 0.008344729 -0.11249475 0.019148060 4.221122e-02
  < 5 0.0594979783 0.097547220 -0.08350623 -0.058291197 5.809216e-02
  ---
  > 1 -0.0453053466 0.008347515 -0.11249454 0.019150077 4.221189e-02
  > 5 0.3284277562 0.178618168 -0.30172442 -0.216184097 8.360613e-02
  3716c3703
  < mean 0.0116513033 0.035312988 -0.01221874 -0.022374776 3.527016e-02
  ---
  > mean 0.0472242051 0.048502770 -0.05347400 -0.042704521 4.236526e-02
  3718,3719c3705,3706
  < 1 -0.04573976 -0.025646625 -0.032578408 0.22216863 0.0145728477 -0.03323258
  < 5 -0.14270397 -0.203177625 0.014446363 0.44274147 0.2531675452 -0.21888587
  ---
  > 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
  3721c3708
  < mean -0.01035973 -0.013658933 -0.027978953 0.08388800 0.0181014879 -0.06625446
  ---
  > mean -0.04498710 -0.005554718 -0.032081138 0.12840930 0.0094411092 -0.09690955
  3723,3724c3710,3711
  < 1 0.27241270
  < 5 0.03876211
  ---
  > 1 0.27241297
  > 5 0.34315784
  3726c3713
  < mean 0.03626951
  ---
  > mean 0.08382957
  3731,3734c3718,3721
  < 1 -0.0615101257 -1.435656e-03 -0.0056737722 0.030289755 -0.0033215869
  < 5 0.1147195929 -1.218876e-01 -0.0398910836 -0.226021852 0.0867682825
  < 10 -0.0001952407 5.835166e-05 -0.0004364700 0.001971316 -0.0001680563
  < mean 0.0238111479 -1.617131e-02 0.0005740449 -0.051988095 0.0152638103
  ---
  > 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
  3736,3737c3723,3724
  < 1 -0.004965362 -0.029438236 6.162501e-03 0.0145728477 0.0216798379
  < 5 -0.137948522 -0.062001729 -1.078895e-01 0.2531675452 0.8763857798
  ---
  > 1 -0.004963502 -0.029437198 6.162623e-03 0.0145684749 0.0216792771
  > 5 -0.099438861 0.239711594 -1.011780e-01 0.1420128834 0.5353957063
  3739c3726
  < mean -0.007330764 0.012833507 -1.604826e-02 0.0181014879 0.0926983221
  ---
  > mean -0.006966362 0.037343626 -1.291427e-02 0.0094411092 0.0601547586
  3741,3742c3728,3729
  < 1 2.275904e-03 0.0090737347
  < 5 -4.954754e-02 -0.2247551237
  ---
  > 1 2.274581e-03 0.0090677567
  > 5 -9.154354e-03 -0.1430645150
  3744c3731
  < mean -1.243190e-02 -0.0480440132
  ---
  > mean 7.278704e-04 -0.0332495963
  3749,3752c3736,3739
  < 1 -0.0069782753 -0.2778544 0.002926144 0.017251086 0.0008094348
  < 5 -0.0347353552 -0.1481576 0.003081167 -0.030243083 -0.1134354294
  < 10 -0.0001539053 -0.2017364 -0.001457520 0.003363470 -0.1243549737
  < mean -0.0117827205 -0.1055772 0.015883860 0.002607258 -0.0533113765
  ---
  > 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
  3754,3755c3741,3742
  < 1 0.040292742 -0.0148970615 0.240208643 -0.03323258 2.275904e-03 0.6053376
  < 5 0.129146170 0.1472806636 0.008438294 -0.21888587 -4.954754e-02 0.5647923
  ---
  > 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
  3757c3744
  < mean 0.047085069 0.0193694911 0.052186706 -0.06625446 -1.243190e-02 0.3186433
  ---
  > mean 0.069504315 0.0186870720 0.052186706 -0.09690955 7.278704e-04 0.3186433
  3759,3760c3746,3747
  < 1 -0.02028091
  < 5 -0.05369860
  ---
  > 1 -0.02029626
  > 5 -0.26212238
  3762c3749
  < mean -0.02872513
  ---
  > mean -0.07001765
  3767,3768c3754,3755
  < 1 -0.0251602576 0.003013427 -0.21017089 0.044886118 0.044051716
  < 5 0.0141002410 0.038766886 -0.06042672 0.045833215 0.028856227
  ---
  > 1 -0.0251646531 0.003016481 -0.21017065 0.044888881 0.044052368
  > 5 0.1382809232 0.087378268 -0.27728605 -0.041557175 0.102497491
  3770c3757
  < mean -0.0057584186 0.021157719 -0.04709020 0.022190088 0.026527892
  ---
  > mean 0.0119531378 0.033193948 -0.08756019 0.007948404 0.043551983
  3772,3773c3759,3760
  < 1 -0.08977163 -0.033772711 -0.039116418 0.27241270 0.0090737347 -0.02028091
  < 5 0.01104636 -0.013825168 -0.034772701 0.03876211 -0.2247551237 -0.05369860
  ---
  > 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
  3775c3762
  < mean -0.02050374 -0.002804806 -0.035171739 0.03626951 -0.0480440132 -0.02872513
  ---
  > mean -0.04648243 -0.015933106 -0.051216532 0.08382957 -0.0332495963 -0.07001765
  3777,3778c3764,3765
  < 1 0.5218452
  < 5 0.2294185
  ---
  > 1 0.5218449
  > 5 0.4782605
  3780c3767
  < mean 0.1896286
  ---
  > mean 0.2153100
  3784,3821c3771,3808
  < d_y1_d_x1 0.097501018 -0.013530169 -0.0236175626 -0.015266219 0.003692544
  < d_y2_d_x1 -0.013530169 0.148777309 0.0081207345 0.009650611 -0.001428115
  < d_y3_d_x1 -0.023617563 0.008120735 0.0874269145 -0.001952959 -0.011942149
  < d_y1_d_x2 -0.015266219 0.009650611 -0.0019529594 0.062495001 -0.019839271
  < d_y2_d_x2 0.003692544 -0.001428115 -0.0119421487 -0.019839271 0.129329235
  < d_y3_d_x2 -0.004236060 -0.028898252 -0.0052575841 -0.015046395 -0.001703862
  < d_y1_d_x3 -0.031689797 -0.013266447 0.0058146734 0.008838430 -0.001769680
  < d_y2_d_x3 0.001587853 0.001858887 0.0132426402 0.006050015 -0.005699656
  < d_y3_d_x3 0.011651303 0.035312988 -0.0122187416 -0.022374776 0.035270159
  < d_y1_d_x4 0.023811148 -0.016171311 0.0005740449 -0.051988095 0.015263810
  < d_y2_d_x4 -0.011782721 -0.105577209 0.0158838600 0.002607258 -0.053311376
  < d_y3_d_x4 -0.005758419 0.021157719 -0.0470901998 0.022190088 0.026527892
  < 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 -0.031689797 0.001587853 0.01165130 0.0238111479
  < d_y2_d_x1 -0.028898252 -0.013266447 0.001858887 0.03531299 -0.0161713108
  < d_y3_d_x1 -0.005257584 0.005814673 0.013242640 -0.01221874 0.0005740449
  < d_y1_d_x2 -0.015046395 0.008838430 0.006050015 -0.02237478 -0.0519880946
  < d_y2_d_x2 -0.001703862 -0.001769680 -0.005699656 0.03527016 0.0152638103
  < d_y3_d_x2 0.163056421 -0.008752937 0.026778269 -0.01035973 -0.0073307639
  < d_y1_d_x3 -0.008752937 0.037736126 -0.015430443 -0.01365893 0.0128335070
  < d_y2_d_x3 0.026778269 -0.015430443 0.071900684 -0.02797895 -0.0160482641
  < d_y3_d_x3 -0.010359725 -0.013658933 -0.027978953 0.08388800 0.0181014879
  < d_y1_d_x4 -0.007330764 0.012833507 -0.016048264 0.01810149 0.0926983221
  < d_y2_d_x4 0.047085069 0.019369491 0.052186706 -0.06625446 -0.0124319022
  < d_y3_d_x4 -0.020503740 -0.002804806 -0.035171739 0.03626951 -0.0480440132
  < d_y2_d_x4 d_y3_d_x4
  < d_y1_d_x1 -0.011782721 -0.005758419
  < d_y2_d_x1 -0.105577209 0.021157719
  < d_y3_d_x1 0.015883860 -0.047090200
  < d_y1_d_x2 0.002607258 0.022190088
  < d_y2_d_x2 -0.053311376 0.026527892
  < d_y3_d_x2 0.047085069 -0.020503740
  < d_y1_d_x3 0.019369491 -0.002804806
  < d_y2_d_x3 0.052186706 -0.035171739
  < d_y3_d_x3 -0.066254464 0.036269511
  < d_y1_d_x4 -0.012431902 -0.048044013
  < d_y2_d_x4 0.318643268 -0.028725132
  < d_y3_d_x4 -0.028725132 0.189628578
  ---
  > 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
  3830c3817
  < 5 0.144928910 0.0130994340 -0.012655498 -0.06714164 0.006690779
  ---
  > 5 0.279256250 0.0130994340 -0.042653983 -0.18347254 0.006690779
  3832c3819
  < mean 0.125767220 0.0030140117 -0.005058468 -0.06144210 0.007756283
  ---
  > mean 0.170543000 0.0030140117 -0.015057964 -0.10021907 0.007756283
  3834,3835c3821,3822
  < 1 0.053090421 0.11544706 -0.016286972 -0.049332760 -0.08098314
  < 5 -0.043850583 -0.16883162 0.021016522 0.088007379 0.13788970
  ---
  > 1 0.053090421 0.11544880 -0.016286972 -0.049332760 -0.08098175
  > 5 -0.050415270 0.04682366 0.021016522 0.092581498 -0.02604583
  3837c3824
  < mean -0.003825258 -0.02425635 0.002039572 0.015733711 0.02403147
  ---
  > mean -0.006013487 0.04762932 0.002039572 0.017258417 -0.03061324
  3840c3827
  < 5 -4.027889e-02 -0.0153210777
  ---
  > 5 -4.027889e-02 0.0331734640
  3842c3829
  < mean -1.182573e-02 -0.0040930222
  ---
  > mean -1.182573e-02 0.0120718250
  3848c3835
  < 5 4.089560e-01 -6.483072e-02 -8.364006e-02 -0.06714164 0.006690779
  ---
  > 5 4.300837e-01 -6.483072e-02 -9.133239e-02 -0.18347254 0.006690779
  3850c3837
  < mean 2.283453e-01 -2.466976e-02 -3.512450e-02 -0.02238055 0.002230260
  ---
  > mean 2.353879e-01 -2.466976e-02 -3.768861e-02 -0.06115751 0.002230260
  3852,3855c3839,3842
  < 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  < 5 -0.04385058 -0.16898705 0.020861091 0.08800738 0.13797852 -0.04019007
  < 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
  < mean -0.01461686 -0.05632902 0.006953697 0.02933579 0.04599284 -0.01339669
  ---
  > 1 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
  > 5 -0.05041527 0.04666822 0.020861091 0.09242607 -0.025957014 -0.04019007
  > 10 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
  > mean -0.01680509 0.01555607 0.006953697 0.03080869 -0.008652338 -0.01339669
  3857,3860c3844,3847
  < 1 0.000000000
  < 5 -0.015321078
  < 10 0.000000000
  < mean -0.005107026
  ---
  > 1 0.00000000
  > 5 0.03326228
  > 10 0.00000000
  > mean 0.01108743
  3866c3853
  < 5 0.00000000 0.00000000 0.000000000 0.34181432 -0.058139940 -0.12749064
  ---
  > 5 0.00000000 0.00000000 0.000000000 0.24661116 -0.058139940 -0.14174766
  3868c3855
  < mean 0.07903973 -0.00143019 -0.001512507 0.14398820 -0.022643259 -0.05580660
  ---
  > mean 0.07903973 -0.00143019 -0.001512507 0.11225381 -0.022643259 -0.06055894
  3870c3857
  < 1 0.11547135 -0.016286972 -0.04937162 -0.08099701 0.004840572 0.003774758
  ---
  > 1 0.11547308 -0.016286972 -0.04937162 -0.08099563 0.004840572 0.003774758
  3873c3860
  < mean 0.03849045 -0.005428991 -0.01645721 -0.02699900 0.001613524 0.001258253
  ---
  > mean 0.03849103 -0.005428991 -0.01645721 -0.02699854 0.001613524 0.001258253
  3878,3886c3865,3873
  < 1 -0.253201499 0.0045815729 0.004845272 0.17472547 -0.022687772 -0.05669121
  < 5 -0.090586260 -0.0081876608 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
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  < 1 -0.08437642 0.014336219 0.035596448 0.086501639 -3.774758e-03
  < 5 0.51443826 -0.078108987 -0.138729325 -0.086108898 2.540190e-02
  < 10 -0.01912249 0.001521665 0.008955663 0.017363888 -1.665335e-05
  < mean 0.13697978 -0.020750368 -0.031392405 0.005918877 7.203497e-03
  ---
  > 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
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4
  > 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
  3889c3876
  < 5 0.009148238
  ---
  > 5 -0.020961011
  3891c3878
  < mean 0.001176836
  ---
  > mean -0.008859580
  3897c3884
  < 5 0.119070851 1.076225e-02 -0.0103975173 -0.05516230 0.005497018
  ---
  > 5 0.229431652 1.076225e-02 -0.0350437055 -0.15073756 0.005497018
  3899c3886
  < mean 0.073999863 2.947919e-03 -0.0043667501 -0.04753795 0.005444762
  ---
  > mean 0.110786797 2.947919e-03 -0.0125821461 -0.07939637 0.005444762
  3901,3902c3888,3889
  < 1 0.022641165 0.049263892 -0.0072386541 -0.021016522 0.0043786206
  < 5 -0.036026809 -0.138744571 0.0179078974 0.072242212 0.5222431239
  ---
  > 1 0.022641165 0.049267708 -0.0072386541 -0.021049829 0.0043827839
  > 5 -0.041420232 0.037997383 0.0179078974 0.077016171 0.4085231613
  3904c3891
  < mean -0.001834652 -0.027510228 0.0033806291 0.015872489 0.1752689440
  ---
  > mean -0.003632459 0.031405029 0.0033806291 0.017452706 0.1373636775
  3906,3907c3893,3894
  < 1 -0.0029277489 -0.015290625
  < 5 -0.0980041830 -0.095586058
  ---
  > 1 -0.0029277489 -0.015335034
  > 5 -0.0980041830 -0.063576810
  3909c3896
  < mean -0.0337163845 -0.037615205
  ---
  > mean -0.0337163845 -0.026960258
  3915c3902
  < 5 -0.0129035550 0.06017080 0.009013214 0.02362359 -0.11310591
  ---
  > 5 -0.0468176067 0.06017080 0.024119695 0.01982570 -0.11310591
  3917c3904
  < mean -0.0064864110 0.02352282 0.002894344 0.01457826 -0.01821674
  ---
  > mean -0.0177910949 0.02352282 0.007929838 0.01331229 -0.01821674
  3919,3920c3906,3907
  < 1 -0.019690253 -0.0138047559 0.24398261 0.026548208 0.0034507119
  < 5 -0.004653031 -0.0014099832 0.05356826 -0.002808864 -0.0507593967
  ---
  > 1 -0.019690253 -0.0138023273 0.24398261 0.026548208 0.0034493242
  > 5 0.019517303 0.0206390460 0.05356826 -0.037603254 0.0322852856
  3922c3909
  < mean -0.004614525 -0.0047755203 0.02374582 0.004512131 -0.0156511378
  ---
  > mean 0.003442253 0.0025749657 0.02374582 -0.007085998 0.0120299604
  3925c3912
  < 5 0.06363798 0.009015011
  ---
  > 5 0.06363798 -0.037081449
  3927c3914
  < mean 0.02631229 0.007834474
  ---
  > mean 0.02631229 -0.007531013
  3933c3920
  < 5 -6.160382e-02 0.4058003 0.037210326 0.023623585 -0.11310591 -0.004653031
  ---
  > 5 -6.151580e-02 0.4058003 0.034744322 0.019825696 -0.11310591 0.019517303
  3935c3922
  < mean -2.393518e-02 0.2906896 0.018381476 0.007874528 -0.03770197 -0.001551010
  ---
  > mean -2.390584e-02 0.2906896 0.017559475 0.006608565 -0.03770197 0.006505768
  3937,3940c3924,3927
  < 1 0.0000000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
  < 5 -0.0012878587 0.05372369 -0.0028088643 -0.05062617 0.06354917 0.009015011
  < 10 0.0000000000 0.00000000 0.0000000000 0.00000000 0.00000000 0.000000000
  < mean -0.0004292862 0.01790790 -0.0009362881 -0.01687539 0.02118306 0.003005004
  ---
  > 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
  3946c3933
  < 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
  3948c3935
  < 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
  3950c3937
  < 1 -0.013804756 0.24398261 0.026548208 0.003450712 0.3172573 0.026167957
  ---
  > 1 -0.013802327 0.24398261 0.026548208 0.003449324 0.3172573 0.026167957
  3953c3940
  < mean -0.004601585 0.08132754 0.008849403 0.001150237 0.1057524 0.008722652
  ---
  > mean -0.004600776 0.08132754 0.008849403 0.001149775 0.1057524 0.008722652
  3959c3946
  < 5 0.0080652285 -0.03760911 -0.005633612 -0.014765668 0.07069564 0.002908327
  ---
  > 5 0.0292628426 -0.03760911 -0.015075756 -0.012391838 0.07069564 -0.012199081
  3961c3948
  < 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
  3963,3964c3950,3951
  < 1 0.0112627260 0.06748226 -0.013584606 -3.666512e-03 -0.33981706
  < 5 -0.0612152425 0.37223831 0.038775741 3.210765e-02 -0.03903544
  ---
  > 1 0.0112602974 0.06748226 -0.013584606 -3.665124e-03 -0.33981706
  > 5 -0.0745276181 0.37223831 0.057614917 -1.989520e-02 -0.03903544
  3966c3953
  < mean -0.0163683810 0.09437383 0.005293760 9.509985e-03 -0.25252578
  ---
  > mean -0.0208066490 0.09437383 0.011573486 -7.823834e-03 -0.25252578
  3968,3971c3955,3958
  < 1 -0.027766678
  < 5 -0.006528111
  < 10 -0.015010215
  < mean -0.016435002
  ---
  > 1 -0.02776668
  > 5 0.02291500
  > 10 -0.01501022
  > mean -0.00662063
  3976,3979c3963,3966
  < 1 -2.859406e-03 -0.08926191 -0.0047363243 0.010063992 -0.03167772
  < 5 -1.060132e-02 0.04943519 0.0074050862 0.019408691 -0.09292568
  < 10 -5.678036e-05 -0.08359122 -0.0040998980 0.001326889 -0.05050205
  < mean -4.505834e-03 -0.04113931 -0.0004770453 0.010266524 -0.05836848
  ---
  > 1 -2.859406e-03 -0.08926191 -0.004736324 0.010063992 -0.03167772
  > 5 -3.846446e-02 0.04943519 0.019816285 0.016288417 -0.09292568
  > 10 -5.678036e-05 -0.08359122 -0.004099898 0.001326889 -0.05050205
  > mean -1.379355e-02 -0.04113931 0.003660021 0.009226432 -0.05836848
  3981,3982c3968,3969
  < 1 -0.008397188 -5.891641e-03 0.10417223 0.011460277 -0.0020252558 0.4646756
  < 5 -0.003822842 -8.548717e-04 0.04400924 -0.002098322 -0.1033926150 0.4574923
  ---
  > 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
  3984c3971
  < mean -0.005404955 -2.256239e-03 0.07808013 0.004489927 -0.0351010815 0.3880690
  ---
  > mean 0.001214341 3.624416e-03 0.07808013 -0.005212497 -0.0123207287 0.3880690
  3986,3987c3973,3974
  < 1 0.025875496
  < 5 0.044804251
  ---
  > 1 0.025842189
  > 5 0.003835713
  3989c3976
  < mean 0.026326010
  ---
  > mean 0.012658728
  3995c3982
  < 5 -0.0232916710 -0.007314459 0.18335766 0.03430460 -0.013690362
  ---
  > 5 -0.0739470342 -0.007314459 0.22130059 0.06229383 -0.013690362
  3997c3984
  < mean -0.0152431973 -0.002287747 0.05180082 0.02301570 -0.006538979
  ---
  > mean -0.0321283184 -0.002287747 0.06444847 0.03234544 -0.006538979
  3999,4002c3986,3989
  < 1 -0.12588268 -0.028610447 0.025801583 0.24238112 0.01174061 0.02504663
  < 5 0.02361125 0.017896795 0.003830269 -0.10076384 -0.08650858 0.03166356
  < 10 0.15417144 0.004118927 -0.010071111 -0.21652680 -0.00164313 -0.01217360
  < mean 0.01730000 -0.002198242 0.006520247 -0.02496984 -0.02547037 0.01484553
  ---
  > 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
  4005c3992
  < 5 -0.14050983
  ---
  > 5 -0.25548452
  4007c3994
  < mean -0.03148963
  ---
  > mean -0.06981452
  4012,4020c3999,4007
  < 1 -3.172708e-02 0.003760221 0.1006422 0.00000000 0.000000000 0.000000000
  < 5 -1.103577e-01 0.048919331 0.4007928 0.03430460 -0.013690362 0.023611252
  < 10 -4.433343e-06 0.014931963 0.2725413 0.00000000 0.000000000 0.000000000
  < mean -4.736307e-02 0.022537172 0.2579921 0.01143487 -0.004563454 0.007870417
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y1_d_x4 d_y2_d_x4 d_y3_d_x4
  < 1 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
  < 5 0.017896795 0.003830269 -0.10088597 -0.08650858 0.03166356 -0.14064305
  < 10 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
  < mean 0.005965598 0.001276756 -0.03362866 -0.02883619 0.01055452 -0.04688102
  ---
  > 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
  4026c4013
  < 5 0.000000000 0.000000000 0.00000000 -0.076053111 0.03522897 0.4244040
  ---
  > 5 0.000000000 0.000000000 0.00000000 -0.062229064 0.03522897 0.4247349
  4028c4015
  < mean -0.007752257 -0.003671857 -0.05305087 -0.032097536 0.02104141 0.3265714
  ---
  > mean -0.007752257 -0.003671857 -0.05305087 -0.027489520 0.02104141 0.3266817
  4030c4017
  < 1 -0.028610447 0.025801583 0.24238112 0.011740608 0.025046631 0.28544944
  ---
  > 1 -0.028605590 0.025801583 0.24238112 0.011737833 0.025046631 0.28544944
  4033c4020
  < mean -0.009536816 0.008600528 0.08079371 0.003913536 0.008348877 0.09514981
  ---
  > mean -0.009535197 0.008600528 0.08079371 0.003912611 0.008348877 0.09514981
  4038,4041c4025,4028
  < 1 0.024834133 0.011762689 0.1699469 -0.04878715 0.016637610 0.13442051
  < 5 0.014558209 0.004571824 -0.1146057 -0.02144172 0.008557013 -0.01475796
  < 10 0.001026687 0.014377230 0.1644973 -0.01372414 0.012104684 0.19330245
  < mean 0.013473010 0.010237248 0.0732795 -0.02798434 0.012433102 0.10432167
  ---
  > 1 0.024834133 0.011762689 0.16994694 -0.04878715 0.016637610 0.13442051
  > 5 0.046219800 0.004571824 -0.13832156 -0.03893609 0.008557013 -0.03730783
  > 10 0.001026687 0.014377230 0.16449729 -0.01372414 0.012104684 0.19330245
  > mean 0.024026873 0.010237248 0.06537422 -0.03381579 0.012433102 0.09680504
  4044c4031
  < 5 -0.122436938 0.045699685 0.4643419200 0.053290705 -0.02069456
  ---
  > 5 -0.102906847 0.045699685 0.4576054475 0.020916602 -0.02069456
  4046c4033
  < mean -0.032336563 0.008470583 0.1114832931 0.012950752 -0.02044846
  ---
  > mean -0.025826533 0.008470583 0.1092378023 0.002159384 -0.02044846
  4048,4051c4035,4038
  < 1 -0.30482283
  < 5 0.08828493
  < 10 -0.29998226
  < mean -0.17217339
  ---
  > 1 -0.3048228
  > 5 0.1606271
  > 10 -0.2999823
  > mean -0.1480593
  4057c4044
  < 5 -0.0191359962 -0.006009421 0.15064319 0.02818401 -0.011247742 0.01939856
  ---
  > 5 -0.0607534844 -0.006009421 0.18181638 0.05117943 -0.011247742 0.04903917
  4059c4046
  < mean -0.0097885755 -0.005023316 0.01095116 0.01727769 -0.007188532 -0.03098122
  ---
  > mean -0.0236610716 -0.005023316 0.02134222 0.02494283 -0.007188532 -0.02110102
  4061,4064c4048,4051
  < 1 -0.0122136676 0.010580425 0.10349777 -0.003479158 0.025478343 0.3815752
  < 5 0.0149658064 0.003463896 -0.08363310 -0.181589621 0.074854141 0.2836864
  < 10 -0.0020650148 0.003856637 0.08169021 -0.000556831 0.008144765 0.2322045
  < mean 0.0002290413 0.005966986 0.03385163 -0.061875203 0.036159083 0.2991554
  ---
  > 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
  4069,4072c4056,4059
  < 1 0.0119593147 -0.0174661633 2.470719e-03 -0.107503637 0.060236172
  < 5 0.0094047273 -0.3102622052 6.126323e-03 -0.217573304 0.141162941
  < 10 0.0002986817 -0.0001412116 5.869527e-06 -0.007937815 0.006272141
  < mean 0.0072209079 -0.1092898600 2.867637e-03 -0.111004919 0.069223751
  ---
  > 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
  4074,4075c4061,4062
  < 1 0.057426766 0.044658201 -0.029354297 -0.031555314 -0.0024556746
  < 5 0.038057502 0.254973820 -0.353705953 -0.033173464 0.4805933429
  ---
  > 1 0.057426766 0.044659935 -0.029354297 -0.031555314 -0.0024487357
  > 5 0.165725303 0.360245167 -0.353705953 -0.202970973 0.3657518732
  4077c4064
  < mean 0.033784542 0.100450955 -0.128031382 -0.021768698 0.1595420555
  ---
  > mean 0.076340476 0.135541983 -0.128031382 -0.078367868 0.1212638786
  4080c4067
  < 5 2.865708e-01 -0.0701660952
  ---
  > 5 2.865708e-01 -0.1066702282
  4082c4069
  < mean 9.796423e-02 -0.0262049641
  ---
  > mean 9.796423e-02 -0.0383730085
  4088c4075
  < 5 0.11202697 -0.1522331796 -0.134166079 0.10109648 -0.004554075 0.25411486
  ---
  > 5 -0.13515076 -0.1522331795 -0.008299913 0.21839363 -0.004554075 0.33427476
  4090c4077
  < mean 0.02618623 -0.0516546047 -0.061028368 0.10335322 -0.007539687 0.13551521
  ---
  > mean -0.05620635 -0.0516546046 -0.019072980 0.14245227 -0.007539687 0.16223518
  4093c4080
  < 5 0.02273737 -0.0339173134 -0.31212810 -0.502353714 0.1727062937
  ---
  > 5 -0.17422175 -0.0339173134 -0.40351056 -0.447486492 0.1727062937
  4095c4082
  < mean -0.03222139 -0.0073085057 -0.13551845 -0.157854979 0.0583699755
  ---
  > mean -0.09787443 -0.0073085057 -0.16597927 -0.139565905 0.0583699755
  4098c4085
  < 5 0.175415238
  ---
  > 5 0.091260333
  4100c4087
  < mean 0.070354833
  ---
  > mean 0.042303198
  4105,4108c4092,4095
  < 1 -4.065696e-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 -5.019252e-05 0.1066395 -0.12691634 0.0005696241 0.08873839 -0.08386716
  < mean 3.223789e-03 0.1327177 -0.06660832 0.0150873180 0.14302524 -0.14278925
  ---
  > 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
  4110,4111c4097,4098
  < 1 -0.0050659130 -0.22102320 0.27909619 -0.0002074729 -0.26449953 0.34100500
  < 5 -0.0508038056 -0.23672175 0.24453772 -0.0849098569 -0.46087578 0.23243629
  ---
  > 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
  4113c4100
  < mean -0.0187120574 -0.17945506 0.20106787 -0.0283724433 -0.27442678 0.22369884
  ---
  > mean -0.0228778223 -0.17945506 0.26129006 -0.0188638457 -0.27442678 0.31880794
  4117c4104
  < d_y1_d_x1 0.125767220 0.228345336 0.079039732 -0.116579641 0.073999863
  ---
  > d_y1_d_x1 0.170543000 0.235387911 0.079039732 -0.144566262 0.110786797
  4119,4120c4106,4107
  < d_y3_d_x1 -0.005058468 -0.035124505 -0.001512507 0.005095056 -0.004366750
  < d_y1_d_x2 -0.061442101 -0.022380547 0.143988198 0.091640845 -0.047537948
  ---
  > d_y3_d_x1 -0.015057964 -0.037688614 -0.001512507 0.011345133 -0.012582146
  > d_y1_d_x2 -0.100219066 -0.061157512 0.112253808 0.115877971 -0.079396369
  4122,4123c4109,4110
  < d_y3_d_x2 -0.003825258 -0.014616861 -0.055806601 -0.018418806 -0.001834652
  < d_y1_d_x3 -0.024256349 -0.056329016 0.038490449 0.136979781 -0.027510228
  ---
  > 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
  4125,4126c4112,4113
  < d_y3_d_x3 0.015733711 0.029335793 -0.016457206 -0.031392405 0.015872489
  < d_y1_d_x4 0.024031471 0.045992839 -0.026999005 0.005918877 0.175268944
  ---
  > 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
  4128c4115
  < d_y3_d_x4 -0.004093022 -0.005107026 0.001258253 0.001176836 -0.037615205
  ---
  > d_y3_d_x4 0.012071825 0.011087427 0.001258253 -0.008859580 -0.026960258
  4130,4141c4117,4128
  < d_y1_d_x1 -0.006486411 -0.0239351818 -0.002234972 0.005137337 -0.0045058345
  < d_y2_d_x1 0.023522821 0.2906896241 -0.069768968 0.153787542 -0.0411393112
  < d_y3_d_x1 0.002894344 0.0183814759 -0.003702010 0.006578863 -0.0004770453
  < d_y1_d_x2 0.014578258 0.0078745284 -0.015037924 -0.014779188 0.0102665237
  < d_y2_d_x2 -0.018216738 -0.0377019711 0.293766966 0.105479788 -0.0583684833
  < d_y3_d_x2 -0.004614525 -0.0015510103 0.020440429 0.012366246 -0.0054049553
  < d_y1_d_x3 -0.004775520 -0.0004292862 -0.004601585 -0.016368381 -0.0022562392
  < d_y2_d_x3 0.023745820 0.0179078974 0.081327537 0.094373833 0.0780801350
  < d_y3_d_x3 0.004512131 -0.0009362881 0.008849403 0.005293760 0.0044899269
  < d_y1_d_x4 -0.015651138 -0.0168753900 0.001150237 0.009509985 -0.0351010815
  < d_y2_d_x4 0.026312286 0.0211830553 0.105752444 -0.252525778 0.3880689935
  < d_y3_d_x4 0.007834474 0.0030050037 0.008722652 -0.016435002 0.0263260101
  ---
  > 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
  4143,4154c4130,4141
  < d_y1_d_x1 -0.015243197 -0.047363074 -0.007752257 0.013473010 -0.0097885755
  < d_y2_d_x1 -0.002287747 0.022537172 -0.003671857 0.010237248 -0.0050233161
  < d_y3_d_x1 0.051800825 0.257992100 -0.053050872 0.073279497 0.0109511579
  < d_y1_d_x2 0.023015696 0.011434867 -0.032097536 -0.027984339 0.0172776923
  < d_y2_d_x2 -0.006538979 -0.004563454 0.021041407 0.012433102 -0.0071885320
  < d_y3_d_x2 0.017300002 0.007870417 0.326571393 0.104321667 -0.0309812211
  < d_y1_d_x3 -0.002198242 0.005965598 -0.009536816 -0.032336563 0.0002290413
  < d_y2_d_x3 0.006520247 0.001276756 0.008600528 0.008470583 0.0059669862
  < d_y3_d_x3 -0.024969841 -0.033628655 0.080793705 0.111483293 0.0338516252
  < d_y1_d_x4 -0.025470367 -0.028836193 0.003913536 0.012950752 -0.0618752032
  < d_y2_d_x4 0.014845532 0.010554520 0.008348877 -0.020448458 0.0361590830
  < d_y3_d_x4 -0.031489626 -0.046881018 0.095149814 -0.172173387 0.2991553932
  ---
  > 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
  4156,4167c4143,4154
  < 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 0.100450955 -0.032221390 -0.018712057
  < d_y2_d_x3 -0.128031382 -0.007308506 -0.179455062
  < d_y3_d_x3 -0.021768698 -0.135518448 0.201067866
  < d_y1_d_x4 0.159542055 -0.157854979 -0.028372443
  < d_y2_d_x4 0.097964229 0.058369976 -0.274426778
  < d_y3_d_x4 -0.026204964 0.070354833 0.223698837
  ---
  > d_y1_d_x1 -0.08349633 -0.056206349 0.03636834
  > d_y2_d_x1 -0.10928986 -0.051654605 0.13271769
  > d_y3_d_x1 0.01894697 -0.019072980 -0.15893051
  > d_y1_d_x2 -0.03820549 0.142452268 -0.01115707
  > d_y2_d_x2 0.06922375 -0.007539687 0.14302524
  > d_y3_d_x2 0.07634048 0.162235178 -0.18202428
  > d_y1_d_x3 0.13554198 -0.097874428 -0.02287782
  > d_y2_d_x3 -0.12803138 -0.007308506 -0.17945506
  > d_y3_d_x3 -0.07836787 -0.165979267 0.26129006
  > d_y1_d_x4 0.12126388 -0.139565905 -0.01886385
  > d_y2_d_x4 0.09796423 0.058369976 -0.27442678
  > d_y3_d_x4 -0.03837301 0.042303198 0.31880794
  4185c4172
  < mean: d_y1_d_x1 0.213146161 0.312251531 0.6826105 0.4948530
  ---
  > mean: d_y1_d_x1 0.189788204 0.376218960 0.5044621 0.6139367
  4187,4188c4174,4175
  < mean: d_y3_d_x1 -0.168169090 0.295680426 -0.5687529 0.5695239
  < mean: d_y1_d_x2 -0.160439535 0.249990002 -0.6417838 0.5210136
  ---
  > mean: d_y3_d_x1 -0.155663711 0.317142247 -0.4908325 0.6235449
  > mean: d_y1_d_x2 -0.145725401 0.269737944 -0.5402481 0.5890260
  4190,4191c4177,4178
  < mean: d_y3_d_x2 -0.158528562 0.403802454 -0.3925894 0.6946228
  < mean: d_y1_d_x3 0.193470657 0.194257885 0.9959475 0.3192756
  ---
  > 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
  4193,4194c4180,4181
  < mean: d_y3_d_x3 0.223853352 0.289634253 0.7728829 0.4395917
  < mean: d_y1_d_x4 -0.133770793 0.304463992 -0.4393649 0.6603972
  ---
  > 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
  4196c4183
  < mean: d_y3_d_x4 0.318613765 0.435463636 0.7316656 0.4643727
  ---
  > mean: d_y3_d_x4 0.307681615 0.464015057 0.6630854 0.5072759
  Running ‘mvProbitTest5.R’ [141s/141s]
  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
  162,165c162,165
  < [2,] 1.506956380 0.000000000 0.542223742 -0.328478688 0.30106333
  < [3,] 0.028200821 0.028200821 0.011302084 -0.028934168 0.23870990
  < [4,] 0.278884058 0.278884058 0.030867645 -0.203276144 -0.57866261
  < [5,] 0.008065929 0.008065929 -0.004483375 -0.005041522 -0.49409119
  ---
  > [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
  169,170c169,170
  < [9,] -0.786230379 0.000000000 -0.551427316 0.894837835 -1.33563578
  < [10,] -0.083676789 0.000000000 0.039561667 -0.104915206 -0.01635681
  ---
  > [9,] 0.415106227 0.000000000 0.291137202 -0.472447729 0.17791536
  > [10,] -0.420474439 0.000000000 0.198796702 -0.527197125 -0.00565331
  172,181c172,181
  < [1,] 0.00000000 0.091549369 -0.07986279 -0.0729664529 0.0000000000
  < [2,] 0.00000000 0.108326748 -0.06562425 -0.1739281168 0.0000000000
  < [3,] 0.23870990 0.095668112 -0.24491742 -1.0683656142 -1.0683656142
  < [4,] -0.57866261 -0.064047949 0.42178210 0.4510185621 0.4510185621
  < [5,] -0.49409119 0.274636210 0.30882640 0.0005630474 0.0005630474
  < [6,] 0.03712902 0.066346340 -0.06262528 -0.0229342771 -0.0229342771
  < [7,] -0.05339755 -0.026583998 -0.04473578 0.2517569104 0.2517569104
  < [8,] 0.00000000 0.129945662 -0.01013424 0.0039012365 0.0000000000
  < [9,] 0.00000000 -0.936756040 1.52013642 -0.2572863549 0.0000000000
  < [10,] 0.00000000 0.007733357 -0.02050841 0.0698422492 0.0000000000
  ---
  > [1,] 0.00000000 0.091549369 -0.079862789 -7.296645e-02 0.00000000
  > [2,] 0.00000000 -0.173058427 0.104838650 -7.277982e-01 0.00000000
  > [3,] -1.40881612 -0.564613280 1.445451605 -9.941635e-01 -0.99416353
  > [4,] 1.25977164 0.139434946 -0.918236497 8.198403e-01 0.81984027
  > [5,] 1.78318473 -0.991167423 -1.114560477 1.725897e-01 0.17258971
  > [6,] 0.03712902 0.066346340 -0.062625276 -2.293428e-02 -0.02293428
  > [7,] -0.05339755 -0.026583998 -0.044735780 2.517569e-01 0.25175691
  > [8,] 0.00000000 0.129945662 -0.010134241 3.901237e-03 0.00000000
  > [9,] 0.00000000 0.124781987 -0.202492042 -2.095376e-01 0.00000000
  > [10,] 0.00000000 0.002672837 -0.007088205 8.131718e-06 0.00000000
  183,192c183,192
  < [1,] -0.0893169068 0.0779153081 0.10575660 0.00000000 0.12945472
  < [2,] -0.0625817413 0.0379119664 -1.25295393 0.00000000 -0.45083015
  < [3,] -0.4281704370 1.0961478726 1.46951888 1.46951888 0.58894121
  < [4,] 0.0499199594 -0.3287434741 -0.62069563 -0.62069563 -0.06870028
  < [5,] -0.0003129649 -0.0003519267 1.52587918 1.52587918 -0.84814642
  < [6,] -0.0409815611 0.0386830918 0.25623135 0.25623135 0.45786317
  < [7,] 0.1253372983 0.2109186779 -0.08556548 -0.08556548 -0.04259882
  < [8,] -0.0076722386 0.0005983448 -0.17849777 0.00000000 0.35103677
  < [9,] -0.1804493034 0.2928271039 0.48068226 0.00000000 0.33712934
  < [10,] -0.0330208153 0.0875692542 -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
  195,198c195,198
  < [2,] 0.27311253 0.341544286 0.00000000 0.122892357 -0.074448087
  < [3,] -1.50773290 0.924470022 0.92447002 0.370501192 -0.948510355
  < [4,] 0.45241960 -0.378155960 -0.37815596 -0.041855329 0.275634562
  < [5,] -0.95373441 0.661509093 0.66150909 -0.367693965 -0.413469159
  ---
  > [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
  202,203c202,203
  < [9,] -0.54708223 -0.273051417 0.00000000 -0.191506223 0.310769904
  < [10,] -0.14923095 0.006044596 0.00000000 -0.002857833 0.007578804
  ---
  > [9,] -0.28565490 -0.561014732 0.00000000 -0.393470993 0.638511588
  > [10,] 2.69420429 0.003719452 0.00000000 -0.001758525 0.004663505
  205,214c205,214
  < [1,] 0.1253095627 -0.0297429634 0.168661167 -0.317886104 -0.0208711564
  < [2,] 0.7025034017 -0.2310527845 -1.467310764 0.460141361 -0.1173459587
  < [3,] 0.0320304983 -0.0245890961 0.077917241 0.019108686 -0.3597735074
  < [4,] -0.0442589070 0.1844708730 -0.063565549 -0.125120456 -0.3829742716
  < [5,] 0.0001027849 0.0000825997 0.024379578 0.004037650 -0.0009016827
  < [6,] 0.0296042997 -0.0025989871 0.138285252 -0.004564782 -0.0038689822
  < [7,] 0.0380970110 -0.0168298056 0.049281652 -0.048184360 -0.0366696286
  < [8,] -0.0008799584 0.0028606945 -0.004381225 0.001581942 -0.0012885881
  < [9,] 1.4236956019 0.3163755182 -0.176222179 0.168016471 0.1964305114
  < [10,] 0.0089228583 -0.0008862498 0.036983181 -0.001222368 -0.0055697393
  ---
  > [1,] 0.1253095627 -2.974296e-02 1.686612e-01 -0.317886104 -0.0208711564
  > [2,] 0.2373436221 2.127181e-01 1.696971e-01 0.246140189 0.2225286910
  > [3,] -0.4565641536 -3.776616e-01 -6.772429e-02 -0.159090089 1.0955888663
  > [4,] 0.0932491169 5.409154e-02 -2.715220e-03 -0.032249332 0.8408139847
  > [5,] 0.0140944278 3.817987e-03 -7.985301e-05 -0.007061590 0.2433483024
  > [6,] 0.0296042997 -2.598987e-03 1.382853e-01 -0.004564782 -0.0038689822
  > [7,] 0.0380970110 -1.682981e-02 4.928165e-02 -0.048184360 -0.0366696286
  > [8,] -0.0008799584 2.860694e-03 -4.381225e-03 0.001581942 -0.0012885881
  > [9,] 0.1742684002 -4.091158e-02 2.153006e-01 -0.249286491 -0.0828865914
  > [10,] 0.0098217501 -2.046363e-06 -6.627940e-01 -0.001926264 -0.0000053344
  216,225c216,225
  < [1,] 0.0003426339 -5.483524e-03 -0.0018480113 0.0100890718 -0.0323882141
  < [2,] -0.4644179041 1.949214e-01 0.4909374391 -0.1428712508 -0.3282253767
  < [3,] 0.3783280489 3.041832e-01 -0.7794965695 -1.3445426172 1.6225290635
  < [4,] 0.3455217705 3.272277e-01 -0.0321739138 -0.2813773226 0.3108199227
  < [5,] -0.7868290082 -2.008823e-01 0.0029556992 0.0000308380 1.0495508374
  < [6,] 0.0037047386 9.094581e-05 0.0007130642 -0.0001813092 -0.0033234273
  < [7,] 0.0034465639 -3.419331e-03 -0.0016835917 0.0282567258 -0.0185170395
  < [8,] 0.0079515947 3.547434e-04 -0.0010920842 0.0012201491 -0.0020131905
  < [9,] -0.7279351633 5.083677e-01 -0.0136150291 0.0340948798 -0.0930338500
  < [10,] 0.0007581668 3.229956e-04 0.0001981399 -0.0002949337 0.0001573232
  ---
  > [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
  242,245c242,245
  < [2,] 1.506956925 0.000000000 0.542223938 -0.328478807 0.30106359
  < [3,] 0.028200864 0.028200864 0.011302101 -0.028934212 0.23871009
  < [4,] 0.278884282 0.278884282 0.030867670 -0.203276307 -0.57866228
  < [5,] 0.008065943 0.008065943 -0.004483383 -0.005041531 -0.49409092
  ---
  > [2,] -0.210843382 0.000000000 -0.075864364 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
  249,250c249,250
  < [9,] -0.786229940 0.000000000 -0.551427008 0.894837335 -1.33563528
  < [10,] -0.083676704 0.000000000 0.039561627 -0.104915100 -0.01635678
  ---
  > [9,] 0.415106501 0.000000000 0.291137394 -0.472448042 0.17791553
  > [10,] -0.420474161 0.000000000 0.198796571 -0.527196777 -0.00565330
  252,261c252,261
  < [1,] 0.00000000 0.091549474 -0.07986288 -0.0729663752 0.0000000000
  < [2,] 0.00000000 0.108326841 -0.06562431 -0.1739278841 0.0000000000
  < [3,] 0.23871009 0.095668190 -0.24491762 -1.0683649441 -1.0683649441
  < [4,] -0.57866228 -0.064047913 0.42178186 0.4510189056 0.4510189056
  < [5,] -0.49409092 0.274636058 0.30882623 0.0005630483 0.0005630483
  < [6,] 0.03712907 0.066346422 -0.06262535 -0.0229342477 -0.0229342477
  < [7,] -0.05339749 -0.026583966 -0.04473573 0.2517570948 0.2517570948
  < [8,] 0.00000000 0.129945530 -0.01013423 0.0039012424 0.0000000000
  < [9,] 0.00000000 -0.936755684 1.52013584 -0.2572861222 0.0000000000
  < [10,] 0.00000000 0.007733346 -0.02050838 0.0698423194 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,] -0.0003129654 -0.0003519273 1.5258796 1.5258796 -0.84814664 -0.95373466
  < [6,] -0.0409815084 0.0386830421 0.2562315 0.2562315 0.45786351 -0.43218403
  < [7,] 0.1253373900 0.2109188324 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  < [8,] -0.0076722503 0.0005983457 -0.1784976 0.0000000 0.35103649 -0.02737674
  < [9,] -0.1804491402 0.2928268390 0.4806826 0.0000000 0.33712956 -0.54708259
  < [10,] -0.0330208485 0.0875693422 -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
  275,278c275,278
  < [2,] 0.341544520 0.00000000 0.122892441 -0.074448138 0.7025038951
  < [3,] 0.924470437 0.92447044 0.370501358 -0.948510780 0.0320304849
  < [4,] -0.378155708 -0.37815571 -0.041855301 0.275634379 -0.0442590069
  < [5,] 0.661509406 0.66150941 -0.367694139 -0.413469355 0.0001027836
  ---
  > [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
  282,283c282,283
  < [9,] -0.273051212 0.00000000 -0.191506079 0.310769670 1.4236959451
  < [10,] 0.006044605 0.00000000 -0.002857837 0.007578816 0.0089228473
  ---
  > [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 -0.020871177 0.0003426259
  < [2,] -0.2310526006 -1.467309031 0.460141663 -0.117346073 -0.4644176794
  < [3,] -0.0245891156 0.077917436 0.019108677 -0.359773460 0.3783282811
  < [4,] 0.1844707815 -0.063565664 -0.125120522 -0.382974306 0.3455217767
  < [5,] 0.0000825997 0.024379671 0.004037647 -0.000901681 -0.7868284841
  < [6,] -0.0025989909 0.138285183 -0.004564789 -0.003868990 0.0037047264
  < [7,] -0.0168298434 0.049281612 -0.048184397 -0.036669657 0.0034465556
  < [8,] 0.0028606898 -0.004381243 0.001581939 -0.001288592 0.0079515814
  < [9,] 0.3163755182 -0.176222296 0.168016431 0.196430519 -0.7279347800
  < [10,] -0.0008862532 0.036983148 -0.001222372 -0.005569747 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,] -0.0054835436 -0.0018479949 1.008905e-02 -0.0323882419
  < [2,] 0.1949212995 0.4909379792 -1.428713e-01 -0.3282252679
  < [3,] 0.3041832435 -0.7794960468 -1.344542e+00 1.6225297244
  < [4,] 0.3272276294 -0.0321741214 -2.813774e-01 0.3108198792
  < [5,] -0.2008823570 0.0029557361 3.083844e-05 1.0495514804
  < [6,] 0.0000909457 0.0007130633 -1.813082e-04 -0.0033234336
  < [7,] -0.0034193386 -0.0016835884 2.825669e-02 -0.0185170487
  < [8,] 0.0003547431 -0.0010920838 1.220151e-03 -0.0020131928
  < [9,] 0.5083679548 -0.0136150642 3.409483e-02 -0.0930339099
  < [10,] 0.0003229950 0.0001981355 -2.949347e-04 0.0001573202
  ---
  > [1,] -0.0054835436 -1.847995e-03 1.008905e-02 -0.032388242
  > [2,] 0.8015301858 6.566873e-01 7.021445e-01 0.624207469
  > [3,] 0.4457558145 7.163384e-01 1.268288e-01 0.151695541
  > [4,] -0.7071316235 -1.072652e-01 -7.800969e-01 0.559949039
  > [5,] -2.3316036613 -1.072568e-03 -3.269652e-01 0.343980942
  > [6,] 0.0000909457 7.130633e-04 -1.813082e-04 -0.003323434
  > [7,] -0.0034193386 -1.683588e-03 2.825669e-02 -0.018517049
  > [8,] 0.0003547430 -1.092084e-03 1.220151e-03 -0.002013193
  > [9,] -0.0416447714 -2.133556e-03 6.008642e-02 -0.113067650
  > [10,] 0.0002513065 5.699841e-05 -3.418599e-06 0.008852989
  321,324c321,324
  < [2,] 1.506956925 0.000000000 0.542223938 -0.328478807 0.30106359
  < [3,] 0.028200864 0.028200864 0.011302101 -0.028934213 0.23871009
  < [4,] 0.278884282 0.278884282 0.030867670 -0.203276307 -0.57866228
  < [5,] 0.008065943 0.008065943 -0.004483382 -0.005041531 -0.49409092
  ---
  > [2,] -0.210843382 0.000000000 -0.075864365 0.045958568 -0.48096627
  > [3,] 0.541387742 0.541387742 0.216972751 -0.555466231 -1.40881560
  > [4,] 0.033934831 0.033934831 0.003756000 -0.024734800 1.25977208
  > [5,] 0.003771518 0.003771518 -0.002096365 -0.002357347 1.78318521
  327,329c327,329
  < [8,] 0.195184154 0.000000000 -0.383852504 0.029936002 -0.06607566
  < [9,] -0.786229940 0.000000000 -0.551427008 0.894837336 -1.33563528
  < [10,] -0.083676704 0.000000000 0.039561626 -0.104915100 -0.01635678
  ---
  > [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 -0.527196778 -0.00565330
  331,340c331,340
  < [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 0.0005630483 0.0005630483
  < [6,] 0.03712907 0.066346421 -0.06262535 -0.0229342477 -0.0229342477
  < [7,] -0.05339749 -0.026583966 -0.04473573 0.2517570948 0.2517570948
  < [8,] 0.00000000 0.129945530 -0.01013423 0.0039012424 0.0000000000
  < [9,] 0.00000000 -0.936755685 1.52013584 -0.2572861222 0.0000000000
  < [10,] 0.00000000 0.007733346 -0.02050838 0.0698423194 0.0000000000
  ---
  > [1,] 0.00000000 0.091549474 -0.079862881 -7.296638e-02 0.00000000
  > [2,] 0.00000000 -0.173058313 0.104838581 -7.277977e-01 0.00000000
  > [3,] -1.40881560 -0.564613074 1.445451078 -9.941630e-01 -0.99416298
  > [4,] 1.25977208 0.139434996 -0.918236822 8.198408e-01 0.81984076
  > [5,] 1.78318521 -0.991167690 -1.114560777 1.725899e-01 0.17258986
  > [6,] 0.03712907 0.066346421 -0.062625352 -2.293425e-02 -0.02293425
  > [7,] -0.05339749 -0.026583966 -0.044735726 2.517571e-01 0.25175709
  > [8,] 0.00000000 0.129945530 -0.010134230 3.901242e-03 0.00000000
  > [9,] 0.00000000 0.124782104 -0.202492231 -2.095374e-01 0.00000000
  > [10,] 0.00000000 0.002672832 -0.007088193 8.132162e-06 0.00000000
  342,351c342,351
  < [1,] -0.0893168119 0.0779152254 0.1057567 0.0000000 0.12945486 -0.11292952
  < [2,] -0.0625816581 0.0379119158 -1.2529534 0.0000000 -0.45082995 0.27311241
  < [3,] -0.4281701682 1.0961471850 1.4695195 1.4695195 0.58894148 -1.50773358
  < [4,] 0.0499199979 -0.3287437247 -0.6206953 -0.6206953 -0.06870024 0.45241933
  < [5,] -0.0003129652 -0.0003519274 1.5258796 1.5258796 -0.84814664 -0.95373466
  < [6,] -0.0409815080 0.0386830416 0.2562315 0.2562315 0.45786351 -0.43218403
  < [7,] 0.1253373897 0.2109188322 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  < [8,] -0.0076722502 0.0005983456 -0.1784976 0.0000000 0.35103649 -0.02737674
  < [9,] -0.1804491401 0.2928268392 0.4806826 0.0000000 0.33712956 -0.54708259
  < [10,] -0.0330208486 0.0875693421 -0.1190214 0.0000000 0.05627230 -0.14923081
  ---
  > [1,] -8.931681e-02 7.791523e-02 0.1057567 0.0000000 0.12945486 -0.11292952
  > [2,] -2.618717e-01 1.586417e-01 -0.3569686 0.0000000 -0.12844224 0.07781020
  > [3,] -3.984321e-01 1.020016e+00 -0.3336214 -0.3336214 -0.13370595 0.34229709
  > [4,] 9.074220e-02 -5.975747e-01 -0.6192277 -0.6192277 -0.06853781 0.45134966
  > [5,] -9.593255e-02 -1.078754e-01 -0.2113545 -0.2113545 0.11747951 0.13210484
  > [6,] -4.098151e-02 3.868304e-02 0.2562315 0.2562315 0.45786351 -0.43218403
  > [7,] 1.253374e-01 2.109188e-01 -0.0855654 -0.0855654 -0.04259877 -0.07168558
  > [8,] -7.672250e-03 5.983456e-04 -0.1784976 0.0000000 0.35103649 -0.02737674
  > [9,] -1.469603e-01 2.384823e-01 0.2509849 0.0000000 0.17602971 -0.28565513
  > [10,] -3.844480e-06 1.019629e-05 2.1488059 0.0000000 -1.01593697 2.69420490
  354,357c354,357
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  < [4,] -0.378155708 -0.37815571 -0.041855301 0.275634379 -0.0442590069
  < [5,] 0.661509406 0.66150941 -0.367694140 -0.413469355 0.0001027836
  ---
  > [2,] -1.317896170 0.00000000 -0.474197265 0.287268305 0.2373435311
  > [3,] -0.235116392 -0.23511639 -0.094227938 0.241230464 -0.4565639489
  > [4,] -0.702249319 -0.70224932 -0.077726861 0.511863370 0.0932493380
  > [5,] -1.471345146 -1.47134514 0.817834156 0.919648493 0.0140945029
  359c359
  < [7,] 0.258283228 0.25828323 0.128586429 0.216386342 0.0380969803
  ---
  > [7,] 0.258283228 0.25828323 0.128586428 0.216386342 0.0380969803
  361,362c361,362
  < [9,] -0.273051212 0.00000000 -0.191506079 0.310769671 1.4236959451
  < [10,] 0.006044605 0.00000000 -0.002857837 0.007578816 0.0089228473
  ---
  > [9,] -0.561014446 0.00000000 -0.393470792 0.638511263 0.1742683349
  > [10,] 0.003719458 0.00000000 -0.001758528 0.004663511 0.0098217581
  364,373c364,373
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  < [3,] -0.0245891156 0.077917436 0.019108677 -0.359773460 0.3783282811
  < [4,] 0.1844707815 -0.063565664 -0.125120522 -0.382974306 0.3455217767
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  < [6,] -0.0025989909 0.138285183 -0.004564789 -0.003868990 0.0037047264
  < [7,] -0.0168298434 0.049281612 -0.048184397 -0.036669657 0.0034465556
  < [8,] 0.0028606898 -0.004381243 0.001581939 -0.001288592 0.0079515814
  < [9,] 0.3163755182 -0.176222296 0.168016431 0.196430519 -0.7279347800
  < [10,] -0.0008862532 0.036983148 -0.001222372 -0.005569747 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
  375,384c375,384
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  < [3,] 0.3041832435 -0.7794960468 -1.344542e+00 1.6225297244
  < [4,] 0.3272276294 -0.0321741214 -2.813774e-01 0.3108198792
  < [5,] -0.2008823570 0.0029557361 3.083844e-05 1.0495514804
  < [6,] 0.0000909457 0.0007130633 -1.813082e-04 -0.0033234336
  < [7,] -0.0034193386 -0.0016835884 2.825669e-02 -0.0185170487
  < [8,] 0.0003547431 -0.0010920838 1.220151e-03 -0.0020131928
  < [9,] 0.5083679548 -0.0136150642 3.409483e-02 -0.0930339099
  < [10,] 0.0003229950 0.0001981355 -2.949347e-04 0.0001573202
  ---
  > [1,] -0.0054835436 -1.847995e-03 1.008905e-02 -0.032388242
  > [2,] 0.8015301858 6.566873e-01 7.021445e-01 0.624207469
  > [3,] 0.4457558145 7.163384e-01 1.268288e-01 0.151695541
  > [4,] -0.7071316235 -1.072652e-01 -7.800969e-01 0.559949039
  > [5,] -2.3316036613 -1.072568e-03 -3.269652e-01 0.343980942
  > [6,] 0.0000909457 7.130633e-04 -1.813082e-04 -0.003323434
  > [7,] -0.0034193386 -1.683588e-03 2.825669e-02 -0.018517049
  > [8,] 0.0003547430 -1.092084e-03 1.220151e-03 -0.002013193
  > [9,] -0.0416447714 -2.133556e-03 6.008642e-02 -0.113067650
  > [10,] 0.0002513065 5.699841e-05 -3.418599e-06 0.008852989
  388,391c388,391
  < [2,] -3.612933e-07 NaN -3.612011e-07 -3.620133e-07 -8.540643e-07
  < [3,] -1.527494e-06 -1.527494e-06 -1.504060e-06 -1.547362e-06 -8.129819e-07
  < [4,] -8.033547e-07 -8.033547e-07 -8.017484e-07 -8.020740e-07 5.648366e-07
  < [5,] -1.706777e-06 -1.706777e-06 -1.580354e-06 -1.775700e-06 5.527624e-07
  ---
  > [2,] 9.414945e-07 NaN 9.379368e-07 9.459054e-07 6.583323e-07
  > [3,] -6.586844e-07 -6.586844e-07 -6.599883e-07 -6.585779e-07 3.653419e-07
  > [4,] -1.491865e-06 -1.491865e-06 -1.560355e-06 -1.483237e-06 -3.532206e-07
  > [5,] -1.766222e-06 -1.766222e-06 -1.835567e-06 -1.980005e-06 -2.692151e-07
  394,396c394,396
  < [8,] -7.683174e-07 NaN -7.662014e-07 -7.760043e-07 1.013179e-06
  < [9,] 5.580558e-07 NaN 5.584608e-07 5.577297e-07 3.793744e-07
  < [10,] 1.014339e-06 NaN 1.022116e-06 1.014759e-06 1.393142e-06
  ---
  > [8,] -7.683174e-07 NaN -7.665630e-07 -7.760043e-07 1.011078e-06
  > [9,] -6.611487e-07 NaN -6.602954e-07 -6.612584e-07 -9.322813e-07
  > [10,] 6.601018e-07 NaN 6.593872e-07 6.583717e-07 1.728187e-06
  399,402c399,402
  < [2,] NaN -8.531627e-07 -8.565091e-07 1.337927e-06 NaN
  < [3,] -8.129819e-07 -8.158368e-07 -8.149751e-07 6.272488e-07 6.272488e-07
  < [4,] 5.648366e-07 5.636579e-07 5.657846e-07 -7.616155e-07 -7.616155e-07
  < [5,] 5.527624e-07 5.523894e-07 5.522840e-07 -1.577446e-06 -1.577446e-06
  ---
  > [2,] NaN 6.581858e-07 6.577384e-07 6.754717e-07 NaN
  > [3,] 3.653419e-07 3.647698e-07 3.645031e-07 5.530104e-07 5.530104e-07
  > [4,] -3.532206e-07 -3.533580e-07 -3.532893e-07 -6.034286e-07 -6.034286e-07
  > [5,] -2.692151e-07 -2.692128e-07 -2.695402e-07 -8.980083e-07 -8.980083e-07
  406,407c406,407
  < [9,] NaN 3.789749e-07 3.786697e-07 9.044512e-07 NaN
  < [10,] NaN 1.465522e-06 1.400519e-06 -1.004636e-06 NaN
  ---
  > [9,] NaN -9.319535e-07 -9.326933e-07 8.509306e-07 NaN
  > [10,] NaN 1.790046e-06 1.701907e-06 -5.460900e-05 NaN
  409,413c409,413
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  < [2,] 1.330421e-06 1.334324e-06 4.472956e-07 NaN 4.475589e-07
  < [3,] 6.276886e-07 6.272570e-07 -4.481630e-07 -4.484652e-07 -4.475258e-07
  < [4,] -7.717035e-07 -7.621704e-07 5.945561e-07 5.945561e-07 5.914340e-07
  < [5,] -9.939613e-07 -1.846722e-06 -2.657179e-07 -2.660089e-07 -2.657268e-07
  ---
  > [1,] 1.061921e-06 1.061976e-06 -1.026694e-06 NaN -1.028349e-06
  > [2,] 6.763115e-07 6.781668e-07 9.753405e-07 NaN 9.783756e-07
  > [3,] 5.520291e-07 5.520760e-07 1.001000e-06 1.001000e-06 1.001204e-06
  > [4,] -6.042140e-07 -6.032343e-07 6.411466e-07 6.404294e-07 6.347639e-07
  > [5,] -9.006331e-07 -9.017283e-07 7.480124e-07 7.480124e-07 7.493166e-07
  416,418c416,418
  < [8,] -1.503409e-06 -1.366346e-06 7.833863e-07 NaN 7.853848e-07
  < [9,] 9.050615e-07 9.038306e-07 -6.568730e-07 NaN -6.575103e-07
  < [10,] -1.006467e-06 -1.004493e-06 9.069077e-07 NaN 9.100377e-07
  ---
  > [8,] -1.503409e-06 -1.366346e-06 7.826088e-07 NaN 7.846073e-07
  > [9,] 8.521543e-07 8.512955e-07 -8.024168e-07 NaN -8.025505e-07
  > [10,] 3.274424e-05 -6.075698e-05 -2.273347e-07 NaN -2.272269e-07
  421,424c421,424
  < [2,] 4.459047e-07 -6.852255e-07 NaN -6.830841e-07 -6.883072e-07
  < [3,] -4.478989e-07 -4.481866e-07 -4.481866e-07 -4.472889e-07 -4.484569e-07
  < [4,] 5.943763e-07 6.652724e-07 6.652724e-07 6.508926e-07 6.652338e-07
  < [5,] -2.660144e-07 -4.732856e-07 -4.732856e-07 -4.746367e-07 -4.726216e-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
  426,429c426,429
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  < [8,] 7.912577e-07 -1.349087e-06 NaN -1.371885e-06 -1.394012e-06
  < [9,] -6.573882e-07 7.513946e-07 NaN 7.500472e-07 7.499042e-07
  < [10,] 9.100099e-07 -1.620903e-06 NaN -1.508396e-06 -1.525770e-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
  432,435c432,435
  < [2,] -7.023208e-07 7.957190e-07 1.180962e-06 -6.553125e-07 -9.763856e-07
  < [3,] 4.159374e-07 -7.946575e-07 -2.502074e-06 4.648037e-07 1.308419e-07
  < [4,] -2.257621e-06 4.959180e-07 -1.812947e-06 -5.306191e-07 -9.102700e-08
  < [5,] 1.296187e-05 0.000000e+00 -3.788835e-06 8.798971e-07 1.970050e-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
  439,440c439,440
  < [9,] -2.411196e-07 0.000000e+00 -6.652935e-07 2.352385e-07 -3.617273e-08
  < [10,] 1.222473e-06 -3.758146e-06 8.945871e-07 -3.247005e-06 -1.440166e-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
  443,446c443,446
  < [2,] 4.838514e-07 4.305987e-07 -1.099961e-06 -6.372047e-07 3.314853e-07
  < [3,] -6.139077e-07 -2.321304e-07 6.705525e-07 1.816596e-07 -4.072682e-07
  < [4,] -1.799380e-08 1.180700e-07 -6.452754e-06 -3.140755e-07 1.400192e-07
  < [5,] 6.659968e-07 -1.436950e-07 -1.247047e-05 -1.440051e-05 -6.126819e-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
  449,451c449,451
  < [8,] 1.675475e-06 7.824134e-07 4.066439e-07 -1.478598e-06 -1.158095e-06
  < [9,] 5.264881e-07 -5.590775e-07 -2.576782e-06 1.576040e-06 -6.444107e-07
  < [10,] 4.868994e-06 1.890502e-06 2.241341e-05 -3.481978e-06 1.940701e-05
  ---
  > [8,] 1.675475e-06 1.173620e-06 4.066439e-07 -1.478598e-06 -1.158095e-06
  > [9,] 2.358508e-06 -1.476929e-06 -1.769233e-06 8.573377e-07 -3.986556e-07
  > [10,] 3.714480e-06 5.301365e-06 -1.558251e-05 -1.299039e-04 -2.859270e-06
  453c453
  < [1] -1.440051e-05 2.333042e-05
  ---
  > [1] -1.299039e-04 3.274424e-05
  457,460c457,460
  < [2,] -5.444534e-07 0.000000e+00 -1.958519e-07 1.189137e-07 -2.571277e-07
  < [3,] -4.307665e-08 -4.307665e-08 -1.699903e-08 4.477170e-08 -1.940670e-07
  < [4,] -2.240430e-07 -2.240430e-07 -2.474810e-08 1.630426e-07 -3.268497e-07
  < [5,] -1.376677e-08 -1.376677e-08 7.085330e-09 8.952247e-09 -2.731149e-07
  ---
  > [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
  463,465c463,465
  < [8,] -1.499634e-07 0.000000e+00 2.941083e-07 -2.323047e-08 -6.694645e-08
  < [9,] -4.387601e-07 0.000000e+00 -3.079504e-07 4.990774e-07 -5.067058e-07
  < [10,] -8.487655e-08 0.000000e+00 4.043656e-08 -1.064635e-07 -2.278733e-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
  468,471c468,471
  < [2,] 0.000000e+00 -9.242042e-08 5.620782e-08 -2.327027e-07 0.000000e+00
  < [3,] -1.940670e-07 -7.804963e-08 1.996018e-07 -6.701306e-07 -6.701306e-07
  < [4,] -3.268497e-07 -3.610111e-08 2.386377e-07 -3.435030e-07 -3.435030e-07
  < [5,] -2.731149e-07 1.517061e-07 1.705598e-07 -8.881784e-10 -8.881784e-10
  ---
  > [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
  475,476c475,476
  < [9,] 0.000000e+00 -3.550069e-07 5.756294e-07 -2.327027e-07 0.000000e+00
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  ---
  > [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
  478,482c478,482
  < [1,] -9.484742e-08 8.274412e-08 -1.085798e-07 0.000000e+00 -1.329027e-07
  < [2,] -8.325998e-08 5.058677e-08 -5.604406e-07 0.000000e+00 -2.017730e-07
  < [3,] -2.687575e-07 6.875660e-07 -6.585843e-07 -6.590284e-07 -2.635665e-07
  < [4,] -3.852344e-08 2.505587e-07 -3.690381e-07 -3.690381e-07 -4.063165e-08
  < [5,] 3.110753e-10 6.499121e-10 -4.054534e-07 -4.058975e-07 2.253753e-07
  ---
  > [1,] -9.484742e-08 8.274412e-08 -1.085798e-07 0.000000e+00 -1.331248e-07
  > [2,] -1.771068e-07 1.075855e-07 -3.481659e-07 0.000000e+00 -1.256648e-07
  > [3,] -2.199461e-07 5.631261e-07 -3.339551e-07 -3.339551e-07 -1.338669e-07
  > [4,] -5.482771e-08 3.604776e-07 -3.970158e-07 -3.965717e-07 -4.350533e-08
  > [5,] 8.640003e-08 9.727434e-08 -1.580958e-07 -1.580958e-07 8.802935e-08
  485,487c485,487
  < [8,] 1.153453e-08 -8.175470e-10 -1.398326e-07 0.000000e+00 2.756987e-07
  < [9,] -1.633176e-07 2.646659e-07 -3.157474e-07 0.000000e+00 -2.216662e-07
  < [10,] 3.323439e-08 -8.796283e-08 -1.079414e-07 0.000000e+00 5.120991e-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
  490,493c490,493
  < [2,] 1.217821e-07 -2.340350e-07 0.000000e+00 -8.394587e-08 5.124319e-08
  < [3,] 6.753123e-07 -4.143352e-07 -4.143352e-07 -1.657211e-07 4.253662e-07
  < [4,] 2.689073e-07 -2.515765e-07 -2.515765e-07 -2.724331e-08 1.833613e-07
  < [5,] 2.537072e-07 -3.130829e-07 -3.130829e-07 1.745211e-07 1.954145e-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
  495,498c495,498
  < [7,] -7.436848e-08 -1.791900e-07 -1.791900e-07 -8.906754e-08 -1.501228e-07
  < [8,] -2.166205e-08 -1.315614e-08 0.000000e+00 2.631032e-08 -2.084992e-09
  < [9,] 3.596456e-07 -2.051692e-07 0.000000e+00 -1.436386e-07 2.330475e-07
  < [10,] -1.358015e-07 -9.797718e-09 0.000000e+00 4.310751e-09 -1.156353e-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
  501,504c501,504
  < [2,] -4.933831e-07 -1.838529e-07 -1.732836e-06 -3.015366e-07 1.145750e-07
  < [3,] 1.332268e-08 1.953993e-08 -1.949552e-07 8.881784e-09 -4.707346e-08
  < [4,] 9.992007e-08 9.148238e-08 1.152411e-07 6.639134e-08 3.486100e-08
  < [5,] 1.332268e-09 0.000000e+00 -9.237056e-08 3.552714e-09 -1.776357e-09
  ---
  > [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
  508,509c508,509
  < [9,] -3.432810e-07 0.000000e+00 1.172396e-07 3.952394e-08 -7.105427e-09
  < [10,] 1.090794e-08 3.330669e-09 3.308465e-08 3.969047e-09 8.021361e-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
  512,515c512,515
  < [2,] -2.247091e-07 8.393286e-08 -5.400125e-07 9.103829e-08 -1.088019e-07
  < [3,] -2.322587e-07 -7.061018e-08 -5.226930e-07 -2.442491e-07 -6.608047e-07
  < [4,] -6.217249e-09 3.863576e-08 2.076117e-07 8.837375e-08 4.352074e-08
  < [5,] -5.240253e-07 2.886580e-08 -3.685940e-08 -4.440892e-10 -6.430412e-07
  ---
  > [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
  518,520c518,520
  < [8,] 1.332268e-08 2.775558e-10 -4.440892e-10 -1.804112e-09 2.331468e-09
  < [9,] -3.832490e-07 -2.842171e-07 3.508305e-08 5.373479e-08 5.995204e-08
  < [10,] 3.691492e-09 6.106227e-10 4.440892e-09 1.026956e-09 3.053113e-09
  ---
  > [8,] 1.332268e-08 4.163336e-10 -4.440892e-10 -1.804112e-09 2.331468e-09
  > [9,] 5.750955e-08 6.150636e-08 3.774758e-09 5.151435e-08 4.507505e-08
  > [10,] -6.128431e-08 1.332268e-09 -8.881784e-10 4.440892e-10 -2.531308e-08
  522c522
  < [1] -1.732836e-06 6.875660e-07
  ---
  > [1] -2.565059e-06 5.631261e-07
  526,529c526,529
  < [2,] 0 NaN 9.219137e-11 -7.200955e-10 0 NaN 9.015311e-10
  < [3,] 0 0 2.343453e-08 -1.986792e-08 0 0 -2.854856e-09
  < [4,] 0 0 1.606342e-09 1.280711e-09 0 0 -1.178777e-09
  < [5,] 0 0 1.264235e-07 -6.892320e-08 0 0 -3.729500e-10
  ---
  > [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
  532,534c532,534
  < [8,] 0 NaN 2.115940e-09 -7.686899e-09 0 NaN 4.411763e-09
  < [9,] 0 NaN 4.050471e-10 -3.260090e-10 0 NaN -3.994758e-10
  < [10,] 0 NaN 7.776514e-09 4.196921e-10 0 NaN 7.237992e-08
  ---
  > [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
  537,540c537,540
  < [2,] -2.444783e-09 0 NaN -7.505177e-09 -3.602787e-09 0 NaN
  < [3,] -1.993174e-09 0 0 4.398175e-10 8.253176e-12 0 -3.022003e-10
  < [4,] 9.479815e-10 0 0 -1.008801e-08 -5.548990e-10 0 0.000000e+00
  < [5,] -4.783470e-10 0 0 5.834859e-07 -2.692763e-07 0 -2.910382e-10
  ---
  > [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
  543,567c543,567
  < [8,] -1.632214e-08 0 NaN 1.910423e-08 1.561677e-07 0 NaN
  < [9,] -7.046245e-10 0 NaN 6.103325e-10 -6.205836e-10 0 NaN
  < [10,] 7.376474e-09 0 NaN -1.831017e-09 1.423557e-10 0 NaN
  < b_4_2 b_4_3 b_5_0 b_5_1 b_5_2 b_5_3 R_1_2
  < [1,] 6.042278e-11 -2.635592e-09 0 NaN 5.992846e-10 8.320562e-10 0
  < [2,] 2.632565e-10 -1.390990e-09 0 NaN 2.141392e-09 -3.081664e-09 0
  < [3,] 6.372198e-10 2.640617e-10 0 0 8.977155e-10 -2.703219e-10 0
  < [4,] -3.122108e-09 -1.797814e-10 0 0 -1.437969e-08 -3.855205e-11 0
  < [5,] -8.953949e-12 -2.965538e-10 0 0 -1.351053e-09 6.640546e-10 0
  < [6,] 1.497406e-09 1.574773e-09 0 0 -3.635135e-08 -2.469427e-08 0
  < [7,] 1.289397e-09 3.307185e-09 0 0 1.106513e-09 9.954260e-13 0
  < [8,] 1.998476e-09 7.871433e-09 0 NaN -2.279775e-08 -4.492502e-08 0
  < [9,] -6.372491e-10 -5.151649e-10 0 NaN -1.347439e-09 -1.490403e-09 0
  < [10,] 3.129910e-09 3.102128e-09 0 NaN 1.125067e-07 9.513271e-08 0
  < R_1_3 R_1_4 R_1_5 R_2_3 R_2_4 R_2_5 R_3_4 R_3_5 R_4_5
  < [1,] 0 0 0 0 0 0 0 0 0
  < [2,] 0 0 0 0 0 0 0 0 0
  < [3,] 0 0 0 0 0 0 0 0 0
  < [4,] 0 0 0 0 0 0 0 0 0
  < [5,] 0 0 0 0 0 0 0 0 0
  < [6,] 0 0 0 0 0 0 0 0 0
  < [7,] 0 0 0 0 0 0 0 0 0
  < [8,] 0 0 0 0 0 0 0 0 0
  < [9,] 0 0 0 0 0 0 0 0 0
  < [10,] 0 0 0 0 0 0 0 0 0
  ---
  > [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
  > b_4_2 b_4_3 b_5_0 b_5_1 b_5_2
  > [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
  > b_5_3 R_1_2 R_1_3 R_1_4 R_1_5 R_2_3 R_2_4 R_2_5 R_3_4 R_3_5 R_4_5
  > [1,] 8.320562e-10 0 0 0 0 0 0 0 0 0 0
  > [2,] 4.574461e-10 0 0 0 0 0 0 0 0 0 0
  > [3,] 6.217880e-10 0 0 0 0 0 0 0 0 0 0
  > [4,] -1.678609e-09 0 0 0 0 0 0 0 0 0 0
  > [5,] -3.039007e-10 0 0 0 0 0 0 0 0 0 0
  > [6,] -2.469427e-08 0 0 0 0 0 0 0 0 0 0
  > [7,] 9.954260e-13 0 0 0 0 0 0 0 0 0 0
  > [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] -2.692763e-07 5.834859e-07
  ---
  > [1] -6.148317e-06 8.735801e-05
  573,576c573,576
  < [2,] 0 0 4.998835e-11 2.365361e-10 0 0 9.766001e-11
  < [3,] 0 0 2.648594e-10 5.748626e-10 0 0 -2.731189e-10
  < [4,] 0 0 4.958404e-11 -2.603381e-10 0 0 7.549818e-11
  < [5,] 0 0 -5.668049e-10 3.474785e-10 0 0 -1.024255e-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
  579,581c579,581
  < [8,] 0 0 -8.122090e-10 -2.301150e-10 0 0 5.732888e-10
  < [9,] 0 0 -2.233539e-10 -2.917250e-10 0 0 3.742112e-10
  < [10,] 0 0 3.076515e-10 -4.403204e-11 0 0 5.597389e-10
  ---
  > [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
  584,587c584,587
  < [2,] 1.604372e-10 0 0 4.696864e-10 -1.365885e-10 0 0.000000e+00
  < [3,] 4.881635e-10 0 0 -1.883167e-10 9.046763e-12 0 -4.440892e-10
  < [4,] 3.998414e-10 0 0 -5.035935e-10 1.824196e-10 0 0.000000e+00
  < [5,] -1.477261e-10 0 0 -1.826108e-10 9.476572e-11 0 -4.440892e-10
  ---
  > [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
  590,614c590,614
  < [8,] 1.654123e-10 0 0 -1.465724e-10 9.344224e-11 0 0.000000e+00
  < [9,] -1.071125e-09 0 0 -1.101340e-10 -1.817235e-10 0 0.000000e+00
  < [10,] -1.512795e-10 0 0 6.046174e-11 1.246599e-11 0 0.000000e+00
  < b_4_2 b_4_3 b_5_0 b_5_1 b_5_2 b_5_3 R_1_2
  < [1,] 7.822021e-12 2.976362e-10 0 0 -2.749099e-10 3.329653e-10 0
  < [2,] -1.186839e-10 -3.798966e-10 0 0 2.631608e-10 2.294241e-10 0
  < [3,] 3.752851e-10 -3.981346e-10 0 0 3.326048e-10 2.564032e-10 0
  < [4,] 2.144896e-10 -8.133660e-11 0 0 6.018664e-10 -1.062628e-11 0
  < [5,] 7.594259e-12 2.828336e-10 0 0 4.967743e-10 -2.745663e-10 0
  < [6,] 6.856075e-10 -6.805916e-10 0 0 1.196103e-09 -7.669672e-10 0
  < [7,] -5.492674e-11 -2.370775e-10 0 0 1.422826e-10 2.154110e-13 0
  < [8,] 7.015379e-10 -2.154942e-10 0 0 4.372204e-10 -6.719332e-11 0
  < [9,] -2.148355e-10 2.818378e-10 0 0 2.580427e-10 -4.631721e-10 0
  < [10,] 1.761272e-10 -4.629331e-10 0 0 -3.215259e-10 7.209933e-10 0
  < R_1_3 R_1_4 R_1_5 R_2_3 R_2_4 R_2_5 R_3_4 R_3_5 R_4_5
  < [1,] 0 0 0 0 0 0 0 0 0
  < [2,] 0 0 0 0 0 0 0 0 0
  < [3,] 0 0 0 0 0 0 0 0 0
  < [4,] 0 0 0 0 0 0 0 0 0
  < [5,] 0 0 0 0 0 0 0 0 0
  < [6,] 0 0 0 0 0 0 0 0 0
  < [7,] 0 0 0 0 0 0 0 0 0
  < [8,] 0 0 0 0 0 0 0 0 0
  < [9,] 0 0 0 0 0 0 0 0 0
  < [10,] 0 0 0 0 0 0 0 0 0
  ---
  > [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
  > b_4_2 b_4_3 b_5_0 b_5_1 b_5_2
  > [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
  > b_5_3 R_1_2 R_1_3 R_1_4 R_1_5 R_2_3 R_2_4 R_2_5 R_3_4 R_3_5 R_4_5
  > [1,] 3.329653e-10 0 0 0 0 0 0 0 0 0 0
  > [2,] 1.314098e-10 0 0 0 0 0 0 0 0 0 0
  > [3,] 1.499942e-10 0 0 0 0 0 0 0 0 0 0
  > [4,] -8.592184e-10 0 0 0 0 0 0 0 0 0 0
  > [5,] -2.794818e-10 0 0 0 0 0 0 0 0 0 0
  > [6,] -7.669672e-10 0 0 0 0 0 0 0 0 0 0
  > [7,] 2.154110e-13 0 0 0 0 0 0 0 0 0 0
  > [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] -1.071125e-09 1.196103e-09
  ---
  > [1] -1.212533e-09 1.196103e-09
  1576c1576
  < 8: d_y1_d_x2 -0.159973 0.343844 -0.465 0.642
  ---
  > 8: d_y1_d_x2 -0.159973 0.343860 -0.465 0.642
  1579c1579
  < 8: d_y4_d_x2 0.074235 0.119922 0.619 0.536
  ---
  > 8: d_y4_d_x2 0.074235 0.119894 0.619 0.536
  1581c1581
  < 8: d_y1_d_x3 -0.223963 0.699057 -0.320 0.749
  ---
  > 8: d_y1_d_x3 -0.223963 0.699122 -0.320 0.749
  1584c1584
  < 8: d_y4_d_x3 -0.118777 0.388414 -0.306 0.760
  ---
  > 8: d_y4_d_x3 -0.118777 0.388385 -0.306 0.760
  1639,1648c1639,1648
  < 1 -1.531435e-01 0.077935541 -1.944982e-02 2.592959e-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 6.220466e-05 0.274378118 -8.324586e-03 2.080557e-01 -2.374979e-01
  < 6 -1.075014e-02 0.009675403 -7.673353e-04 -4.701608e-05 -4.797448e-04
  < 7 -4.005841e-01 0.153215835 -6.413458e-03 2.053763e-01 -2.556272e-02
  < 8 -2.743912e-05 0.029831622 -4.701106e-06 6.862575e-02 -6.524499e-05
  < 9 -8.560854e-02 0.120954714 -9.343223e-02 8.113155e-05 -2.409296e-01
  < 10 -5.543774e-01 0.066425617 -8.285249e-04 2.539360e-01 -2.282122e-04
  ---
  > 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
  1650c1650
  < 1 -3.632295e-01 -0.08943891 1.977093e-02 1.591489e-05 1.420249e-01
  ---
  > 1 -3.632295e-01 -0.08943891 1.977093e-02 1.591529e-05 1.420249e-01
  1655,1659c1655,1659
  < 6 -3.301153e-02 -0.01901206 6.541076e-04 -6.812533e-05 5.968163e-04
  < 7 -1.334499e-01 -0.13121740 4.717142e-03 -1.176622e-01 3.699710e-02
  < 8 9.803047e-07 -0.05810581 8.723444e-06 -1.066800e-01 1.091347e-04
  < 9 -1.744345e-01 -0.17772451 8.521228e-02 8.664076e-05 3.140598e-01
  < 10 -1.859217e-01 -0.04826082 3.932133e-04 -1.184161e-01 -6.966008e-05
  ---
  > 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 0.681209658 0.032844570 0.046417164 0.0003190127 -0.020617448
  < 5 0.009424934 0.001570433 -0.006289361 -0.0120181768 -0.004297131
  < 10 3.544598352 -0.117497119 0.001242507 -0.7858824677 0.001406431
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.1164728339 -0.152910118 -0.028485820 0.0004002562 -0.074497711
  < 5 -0.0002951784 0.005848898 0.001766817 0.0071367371 -0.004614996
  < 10 -4.2038632197 0.175539835 -0.001599652 0.6974642360 -0.003236952
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -1.515603e+00 0.31882716 0.020873205 -2.923412e-05 0.063863683
  < 5 -9.045736e-05 -0.01584498 -0.001297240 -7.346836e-03 0.009783074
  < 10 -3.098285e+00 -0.20028487 -0.001443309 -1.941335e-01 0.002720347
  ---
  > 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 0.0144199769 -0.0001593829 -0.0018368714
  < 5 0.001570433 0.24735075 0.1133995402 -0.0422548363 -0.0814695527
  < 10 -0.117497119 0.02083594 -0.0000385927 0.0606982137 -0.0000458374
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0375555305 -0.13974579 -0.0061342769 -3.225925e-05 0.0024202408
  < 5 -0.0001760951 0.09608220 -0.0163143997 6.685710e-02 -0.0883946613
  < 10 0.1544916659 -0.05362903 0.0000125594 -7.159417e-02 0.0001029727
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1841204777 0.16990453 6.444408e-03 3.332686e-05 -0.0037850877
  < 5 0.0001031427 -0.15273233 1.258735e-02 -4.588405e-02 0.1386503908
  < 10 0.1171867434 0.03112948 4.435842e-05 1.334580e-02 -0.0002026857
  ---
  > 1 0.032844571 0.13376346 1.441998e-02 -0.0001593828 -1.836871e-03
  > 5 0.001570433 0.24735075 1.133995e-01 -0.0422548363 -8.146955e-02
  > 10 -0.117497119 0.02083594 -3.859274e-05 0.0606982137 -4.583743e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -3.754151e-02 -0.13973248 -6.134243e-03 9.045735e-05 0.0024164612
  > 5 -5.288428e-05 0.09608458 -1.627438e-02 6.687077e-02 -0.0883013200
  > 10 1.544938e-01 -0.05362981 -1.354113e-06 -7.159093e-02 0.0001490507
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.184241048 0.1698549 0.0064438973 -3.305815e-05 -0.0037879221
  > 5 0.000110006 -0.1527111 0.0126377901 -4.588116e-02 0.1386856608
  > 10 0.117197378 0.0311304 0.0001222085 1.335595e-02 -0.0001311109
  1703,1713c1703,1713
  < 1 0.046417164 0.0144199769 6.675280e-02 -0.0012667456 -3.319975e-02
  < 5 -0.006289361 0.1133995402 4.966058e-01 -0.0071332395 1.875787e-02
  < 10 0.001242507 -0.0000385927 7.615532e-06 -0.0007212924 3.307958e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.097288215 -1.577304e-02 -3.534971e-02 0.0000181402 -1.185203e-01
  < 5 0.001068525 -2.451296e-02 -1.078985e-01 0.1404393262 -3.550397e-02
  < 10 -0.001550905 5.003242e-05 -5.578762e-05 0.0010715222 -4.616323e-06
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.109831519 3.423827e-02 3.571593e-02 0.0001250819 1.661988e-01
  < 5 -0.001145638 4.905516e-02 8.140937e-02 -0.2028900480 5.069226e-02
  < 10 -0.001184560 -6.640707e-05 4.367792e-05 -0.0002332455 3.824668e-06
  ---
  > 1 0.046417164 1.441998e-02 6.675280e-02 -0.0012667456 -3.319975e-02
  > 5 -0.006289361 1.133995e-01 4.966058e-01 -0.0071332395 1.875787e-02
  > 10 0.001242507 -3.859274e-05 7.615531e-06 -0.0007212926 3.307953e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.097225921 -1.565141e-02 -3.534945e-02 0.0001712073 -1.185206e-01
  > 5 0.001204782 -2.453862e-02 -1.078506e-01 0.1404522502 -3.539889e-02
  > 10 -0.001550243 5.006915e-05 -5.506783e-05 0.0010717282 -4.851751e-06
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.1098751936 3.410170e-02 3.571570e-02 -4.726227e-05 1.661989e-01
  > 5 -0.0009524318 4.912317e-02 8.154297e-02 -2.028733e-01 5.072993e-02
  > 10 -0.0011853488 -6.641933e-05 4.272653e-05 -2.333415e-04 2.984698e-06
  1718,1728c1718,1728
  < 1 0.0003190127 -0.0001593829 -0.0012667456 9.883137e-05 0.0006512071
  < 5 -0.0120181768 -0.0422548363 -0.0071332395 4.199896e-01 0.0019320785
  < 10 -0.7858824677 0.0606982137 -0.0007212924 5.208348e-01 -0.0004198397
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0001997855 1.904913e-05 0.0006169663 -3.440518e-07 0.002298695
  < 5 0.0015132647 -1.103673e-02 -0.0522163955 -9.793961e-02 0.001194653
  < 10 1.0212991580 -1.334002e-01 0.0031780801 -7.372731e-01 0.000306023
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0009367497 -0.0001431962 -0.0006331565 -1.515047e-07 -0.003305717
  < 5 -0.0003805681 0.0142935056 0.0369866726 1.494193e-01 -0.017231579
  < 10 0.7708209216 0.0967052271 -0.0017003898 1.281047e-01 -0.001281097
  ---
  > 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
  1733,1743c1733,1743
  < 1 -0.020617448 -0.0018368714 -3.319975e-02 0.0006512071 3.615356e-02
  < 5 -0.004297131 -0.0814695527 1.875787e-02 0.0019320785 2.114720e-01
  < 10 0.001406431 -0.0000458374 3.307958e-07 -0.0004198397 7.352685e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0461072550 -9.616335e-03 2.154211e-02 -5.794375e-05 1.090361e-01
  < 5 0.0002875856 -2.707184e-02 -4.245382e-03 1.903747e-02 2.392737e-01
  < 10 -0.0017024762 6.446337e-05 9.937195e-07 4.838498e-04 -7.392497e-07
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0311106882 8.992496e-03 -2.146763e-02 -0.0001826218 -1.550644e-01
  < 5 -0.0007201177 8.670237e-02 2.635478e-03 -0.0493587156 -4.246090e-01
  < 10 -0.0012556983 -7.921584e-05 -2.421883e-06 -0.0000958391 7.538431e-07
  ---
  > 1 -0.020617448 -1.836871e-03 -3.319975e-02 0.0006512071 3.615356e-02
  > 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
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 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 -1.1164728339 -0.0375555305 -0.097288215 -0.0001997855 0.0461072550
  < 5 -0.0002951784 -0.0001760951 0.001068525 0.0015132647 0.0002875856
  < 10 -4.2038632197 0.1544916659 -0.001550905 1.0212991580 -0.0017024762
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 1.972952e+00 0.1863491540 0.0558138800 -3.628467e-04 0.1702822570
  < 5 3.867514e-05 -0.0001745573 -0.0004176678 -3.745568e-05 0.0000444116
  < 10 5.240518e+00 -0.2749424398 0.0019684788 -1.099054e+00 0.0032938462
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 2.468211e+00 -0.5153852436 -0.0459858812 -4.962330e-04 -0.1599664844
  < 5 -2.006074e-05 0.0003286342 0.0002935695 1.386405e-05 -0.0002124106
  < 10 3.765380e+00 0.2504855218 0.0023085872 2.138141e-01 -0.0025687886
  ---
  > 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 -0.152910118 -0.13974579 -1.577304e-02 1.904913e-05 -9.616335e-03
  < 5 0.005848898 0.09608220 -2.451296e-02 -1.103673e-02 -2.707184e-02
  < 10 0.175539835 -0.05362903 5.003242e-05 -1.334002e-01 6.446337e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.1863491540 0.2684865 0.0103359438 -0.0001111962 -3.046651e-02
  < 5 -0.0001745573 0.2361960 0.0083036742 0.0045240062 -6.730159e-02
  < 10 -0.2749424398 0.1493914 0.0001075454 0.1748677767 -8.792954e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.4787500481 -0.35482453 -0.0098211236 -8.344888e-05 0.0472894296
  < 5 -0.0002240871 -0.29912038 -0.0063000361 7.983381e-03 0.0933843388
  < 10 -0.2008504518 -0.07734118 -0.0001838117 -2.512651e-02 0.0003343117
  ---
  > 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 -0.028485820 -0.0061342769 -3.534971e-02 0.0006169663 2.154211e-02
  < 5 0.001766817 -0.0163143997 -1.078985e-01 -0.0522163955 -4.245382e-03
  < 10 -0.001599652 0.0000125594 -5.578762e-05 0.0031780801 9.937195e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0558138800 0.0103359438 0.0227210309 1.233938e-05 7.165882e-02
  < 5 -0.0004176678 0.0083036742 0.0321813980 -2.407877e-02 8.483077e-03
  < 10 0.0019684788 0.0001075454 0.0004422851 -5.314386e-03 3.844972e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0634617897 -0.0228165470 -0.0230539248 -8.278199e-05 -9.942926e-02
  < 5 0.0003266917 -0.0116598892 -0.0239302437 3.376576e-02 -1.134860e-02
  < 10 0.0018354580 0.0000368418 -0.0003472358 1.361964e-03 -2.700659e-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 0.0004002562 -3.225925e-05 0.0000181402 -3.440518e-07 -5.794375e-05
  < 5 0.0071367371 6.685710e-02 0.1404393262 -9.793961e-02 1.903747e-02
  < 10 0.6974642360 -7.159417e-02 0.0010715222 -7.372731e-01 4.838498e-04
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -3.628467e-04 -0.0001111962 1.233938e-05 7.740022e-06 -0.0002255640
  < 5 -3.745568e-05 0.0045240062 -2.407877e-02 3.205859e-01 -0.0020781612
  < 10 -1.099054e+00 0.1748677767 -5.314386e-03 1.251143e+00 0.0004908284
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0003977864 6.523913e-05 -0.0000438366 -7.765508e-06 0.0002874538
  < 5 0.0002329098 -7.769052e-03 0.0194516871 -3.577041e-01 0.0040913754
  < 10 -0.7889437758 -1.076026e-01 0.0029766417 -1.506462e-01 0.0011221515
  ---
  > 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 -0.074497711 0.0024202408 -1.185203e-01 0.002298695 1.090361e-01
  < 5 -0.004614996 -0.0883946613 -3.550397e-02 0.001194653 2.392737e-01
  < 10 -0.003236952 0.0001029727 -4.616323e-06 0.000306023 -7.392497e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.1702822570 -3.046651e-02 7.165882e-02 -0.0002255640 3.800950e-01
  < 5 0.0000444116 -6.730159e-02 8.483077e-03 -0.0020781612 3.505719e-01
  < 10 0.0032938462 -8.792954e-05 3.844972e-05 0.0004908284 2.228897e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.1141894081 0.0196309985 -7.073704e-02 -0.0004033734 -5.234821e-01
  < 5 -0.0006799828 0.1187559539 -7.168626e-03 -0.0258166237 -5.650155e-01
  < 10 0.0024676439 0.0002063885 -2.453998e-05 0.0002119327 -7.233747e-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 -1.515603e+00 -0.1841204777 -0.109831519 -0.0009367497 0.0311106882
  < 5 -9.045736e-05 0.0001031427 -0.001145638 -0.0003805681 -0.0007201177
  < 10 -3.098285e+00 0.1171867434 -0.001184560 0.7708209216 -0.0012556983
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 2.468211e+00 0.4787500481 0.0634617897 -0.0003977864 0.1141894081
  < 5 -2.006074e-05 -0.0002240871 0.0003266917 0.0002329098 -0.0006799828
  < 10 3.765380e+00 -0.2008504518 0.0018354580 -0.7889437758 0.0024676439
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 3.637795e+00 -0.8580139494 -0.0505471829 -0.0004730922 -0.083640043
  < 5 5.516607e-05 -0.0002426254 -0.0001990002 -0.0010041744 0.001499643
  < 10 2.829235e+00 0.1848865590 0.0013463441 0.1429305074 -0.002063551
  ---
  > 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 0.31882716 0.16990453 3.423827e-02 -0.0001431962 8.992496e-03
  < 5 -0.01584498 -0.15273233 4.905516e-02 0.0142935056 8.670237e-02
  < 10 -0.20028487 0.03112948 -6.640707e-05 0.0967052271 -7.921584e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.5153852436 -0.35482453 -0.0228165470 6.523913e-05 0.0196309985
  < 5 0.0003286342 -0.29912038 -0.0116598892 -7.769052e-03 0.1187559539
  < 10 0.2504855218 -0.07734118 0.0000368418 -1.076026e-01 0.0002063885
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.8580139494 0.60908985 2.346221e-02 0.0005085099 -0.0603427940
  < 5 -0.0002426254 0.88524718 8.729223e-03 0.0062485886 -0.3545622258
  < 10 0.1848865590 0.04941625 8.700973e-05 0.0270140695 -0.0002987625
  ---
  > 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 0.020873205 6.444408e-03 3.571593e-02 -0.0006331565 -2.146763e-02
  < 5 -0.001297240 1.258735e-02 8.140937e-02 0.0369866726 2.635478e-03
  < 10 -0.001443309 4.435842e-05 4.367792e-05 -0.0017003898 -2.421883e-06
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0459858812 -0.0098211236 -0.0230539248 -0.0000438366 -7.073704e-02
  < 5 0.0002935695 -0.0063000361 -0.0239302437 0.0194516871 -7.168626e-03
  < 10 0.0023085872 -0.0001838117 -0.0003472358 0.0029766417 -2.453998e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0505471829 2.346221e-02 0.0241743666 0.000125666 1.004229e-01
  < 5 -0.0001990002 8.729223e-03 0.0179046535 -0.029714604 9.961475e-03
  < 10 0.0013463441 8.700973e-05 0.0002932981 -0.000913193 3.123232e-05
  ---
  > 1 0.0208738743 0.0064438973 3.571570e-02 -0.0006331272 -2.146734e-02
  > 5 -0.0013130029 0.0126377901 8.154297e-02 0.0369909200 2.602261e-03
  > 10 -0.0009304087 0.0001222085 4.272653e-05 -0.0011722083 -2.369264e-06
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0459112140 -0.0097276934 -0.02305357 8.792193e-05 -7.073578e-02
  > 5 0.0003084255 -0.0061185443 -0.02395206 1.971415e-02 -7.171637e-03
  > 10 0.0018073845 -0.0004173537 -0.00033604 2.153961e-03 -2.438624e-05
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0505683577 0.0233833110 0.0241741765 5.055428e-05 1.004226e-01
  > 5 -0.0001669076 0.0087367501 0.0179439486 -2.996608e-02 1.010963e-02
  > 10 0.0008764212 0.0002036233 0.0002829794 -7.388569e-04 2.544273e-05
  1868,1878c1868,1878
  < 1 -2.923412e-05 3.332686e-05 0.0001250819 -1.515047e-07 -0.0001826218
  < 5 -7.346836e-03 -4.588405e-02 -0.2028900480 1.494193e-01 -0.0493587156
  < 10 -1.941335e-01 1.334580e-02 -0.0002332455 1.281047e-01 -0.0000958391
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -4.962330e-04 -8.344888e-05 -8.278199e-05 -7.765508e-06 -0.0004033734
  < 5 1.386405e-05 7.983381e-03 3.376576e-02 -3.577041e-01 -0.0258166237
  < 10 2.138141e-01 -2.512651e-02 1.361964e-03 -1.506462e-01 0.0002119327
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0004730922 0.0005085099 0.000125666 0.0000224522 0.0007611208
  < 5 -0.0010041744 0.0062485886 -0.029714604 0.5846509468 0.0139738981
  < 10 0.1429305074 0.0270140695 -0.000913193 0.0739193264 -0.0004771388
  ---
  > 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 0.063863683 -0.0037850877 1.661988e-01 -0.003305717 -1.550644e-01
  < 5 0.009783074 0.1386503908 5.069226e-02 -0.017231579 -4.246090e-01
  < 10 0.002720347 -0.0002026857 3.824668e-06 -0.001281097 7.538431e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.1599664844 0.0472894296 -9.942926e-02 0.0002874538 -5.234821e-01
  < 5 -0.0002124106 0.0933843388 -1.134860e-02 0.0040913754 -5.650155e-01
  < 10 -0.0025687886 0.0003343117 -2.700659e-05 0.0011221515 -7.233747e-06
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.083640043 -0.0603427940 1.004229e-01 0.0007611208 7.588544e-01
  < 5 0.001499643 -0.3545622258 9.961475e-03 0.0139738981 1.180112e+00
  < 10 -0.002063551 -0.0002987625 3.123232e-05 -0.0004771388 2.507559e-05
  ---
  > 1 0.063874324 -0.0037879221 1.661989e-01 -0.0033054727 -1.550631e-01
  > 5 0.009786269 0.1386856608 5.072993e-02 -0.0172465989 -4.245459e-01
  > 10 0.003315277 -0.0001311109 2.984698e-06 -0.0007989053 8.653899e-07
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.159840294 0.0477033508 -9.942958e-02 0.0007272656 -5.234779e-01
  > 5 -0.000260798 0.0934479358 -1.140720e-02 0.0042441115 -5.648879e-01
  > 10 -0.003163122 0.0001184889 -1.893333e-05 0.0003322047 -9.347271e-06
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.083896801 -0.0608347682 1.004226e-01 0.0000666040 7.588406e-01
  > 5 0.001480701 -0.3544836234 1.010963e-02 0.0138759957 1.179896e+00
  > 10 -0.002409316 -0.0002253552 2.544273e-05 -0.0003993135 2.270258e-05
  1897,1943c1897,1943
  < d_y1_d_x1 6.812097e-01 3.284457e-02 0.0464171645 3.190127e-04 -2.061745e-02
  < d_y2_d_x1 3.284457e-02 1.337635e-01 0.0144199769 -1.593829e-04 -1.836871e-03
  < d_y3_d_x1 4.641716e-02 1.441998e-02 0.0667528032 -1.266746e-03 -3.319975e-02
  < d_y4_d_x1 3.190127e-04 -1.593829e-04 -0.0012667456 9.883137e-05 6.512071e-04
  < d_y5_d_x1 -2.061745e-02 -1.836871e-03 -0.0331997504 6.512071e-04 3.615356e-02
  < d_y1_d_x2 -1.116473e+00 -3.755553e-02 -0.0972882153 -1.997855e-04 4.610725e-02
  < d_y2_d_x2 -1.529101e-01 -1.397458e-01 -0.0157730362 1.904913e-05 -9.616335e-03
  < d_y3_d_x2 -2.848582e-02 -6.134277e-03 -0.0353497139 6.169663e-04 2.154211e-02
  < d_y4_d_x2 4.002562e-04 -3.225925e-05 0.0000181402 -3.440518e-07 -5.794375e-05
  < d_y5_d_x2 -7.449771e-02 2.420241e-03 -0.1185202903 2.298695e-03 1.090361e-01
  < d_y1_d_x3 -1.515603e+00 -1.841205e-01 -0.1098315189 -9.367497e-04 3.111069e-02
  < d_y2_d_x3 3.188272e-01 1.699045e-01 0.0342382716 -1.431962e-04 8.992496e-03
  < d_y3_d_x3 2.087321e-02 6.444408e-03 0.0357159305 -6.331565e-04 -2.146763e-02
  < d_y4_d_x3 -2.923412e-05 3.332686e-05 0.0001250819 -1.515047e-07 -1.826218e-04
  < d_y5_d_x3 6.386368e-02 -3.785088e-03 0.1661987928 -3.305717e-03 -1.550644e-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 -1.1164728339 -1.529101e-01 -2.848582e-02 4.002562e-04 -0.0744977106
  < d_y2_d_x1 -0.0375555305 -1.397458e-01 -6.134277e-03 -3.225925e-05 0.0024202408
  < d_y3_d_x1 -0.0972882153 -1.577304e-02 -3.534971e-02 1.814020e-05 -0.1185202903
  < d_y4_d_x1 -0.0001997855 1.904913e-05 6.169663e-04 -3.440518e-07 0.0022986950
  < d_y5_d_x1 0.0461072550 -9.616335e-03 2.154211e-02 -5.794375e-05 0.1090360764
  < d_y1_d_x2 1.9729516423 1.863492e-01 5.581388e-02 -3.628467e-04 0.1702822570
  < d_y2_d_x2 0.1863491540 2.684865e-01 1.033594e-02 -1.111962e-04 -0.0304665140
  < d_y3_d_x2 0.0558138800 1.033594e-02 2.272103e-02 1.233938e-05 0.0716588203
  < d_y4_d_x2 -0.0003628467 -1.111962e-04 1.233938e-05 7.740022e-06 -0.0002255640
  < d_y5_d_x2 0.1702822570 -3.046651e-02 7.165882e-02 -2.255640e-04 0.3800950215
  < d_y1_d_x3 2.4682112929 4.787500e-01 6.346179e-02 -3.977864e-04 0.1141894081
  < d_y2_d_x3 -0.5153852436 -3.548245e-01 -2.281655e-02 6.523913e-05 0.0196309985
  < d_y3_d_x3 -0.0459858812 -9.821124e-03 -2.305392e-02 -4.383660e-05 -0.0707370387
  < d_y4_d_x3 -0.0004962330 -8.344888e-05 -8.278199e-05 -7.765508e-06 -0.0004033734
  < d_y5_d_x3 -0.1599664844 4.728943e-02 -9.942926e-02 2.874538e-04 -0.5234821479
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < d_y1_d_x1 -1.5156027336 3.188272e-01 0.0208732050 -2.923412e-05 0.0638636833
  < d_y2_d_x1 -0.1841204777 1.699045e-01 0.0064444076 3.332686e-05 -0.0037850877
  < d_y3_d_x1 -0.1098315189 3.423827e-02 0.0357159305 1.250819e-04 0.1661987928
  < d_y4_d_x1 -0.0009367497 -1.431962e-04 -0.0006331565 -1.515047e-07 -0.0033057174
  < d_y5_d_x1 0.0311106882 8.992496e-03 -0.0214676329 -1.826218e-04 -0.1550644489
  < d_y1_d_x2 2.4682112929 -5.153852e-01 -0.0459858812 -4.962330e-04 -0.1599664844
  < d_y2_d_x2 0.4787500481 -3.548245e-01 -0.0098211236 -8.344888e-05 0.0472894296
  < d_y3_d_x2 0.0634617897 -2.281655e-02 -0.0230539248 -8.278199e-05 -0.0994292552
  < d_y4_d_x2 -0.0003977864 6.523913e-05 -0.0000438366 -7.765508e-06 0.0002874538
  < d_y5_d_x2 0.1141894081 1.963100e-02 -0.0707370387 -4.033734e-04 -0.5234821479
  < d_y1_d_x3 3.6377951096 -8.580139e-01 -0.0505471829 -4.730922e-04 -0.0836400434
  < d_y2_d_x3 -0.8580139494 6.090898e-01 0.0234622144 5.085099e-04 -0.0603427940
  < d_y3_d_x3 -0.0505471829 2.346221e-02 0.0241743666 1.256660e-04 0.1004228930
  < d_y4_d_x3 -0.0004730922 5.085099e-04 0.0001256660 2.245220e-05 0.0007611208
  < d_y5_d_x3 -0.0836400434 -6.034279e-02 0.1004228930 7.611208e-04 0.7588543732
  ---
  > 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 0.000417592 -0.0034077201 -9.140944e-05 0.0012587677
  < 5 -0.02800207 0.044064595 0.0050068900 2.316666e-02 -0.0016630708
  < 10 -0.36206441 0.023354904 -0.0001174276 9.265316e-02 -0.0001571004
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.178623782 0.036781689 0.0087888898 -0.000577316 -2.997602e-04
  < 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 2.220446e-05
  < 10 0.613120665 -0.072190864 -0.0008881784 -0.190610028 -1.010303e-03
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.470712358 -0.092081898 -0.0121256304 0.0002442491 -0.003116951
  < 5 0.002020606 -0.001920686 0.0019872992 -0.0015681900 0.001298961
  < 10 0.213640217 0.035811284 -0.0009103829 0.0272060152 -0.001609823
  ---
  > 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
  1963c1963
  < 1 9.163474e-02 -0.0361629799 -5.966820e-03 -0.0001078718 1.281769e-04
  ---
  > 1 9.163474e-02 -0.0361629801 -5.966820e-03 -0.0001078725 1.281769e-04
  1968c1968
  < 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 2.220446e-05 0.002020606
  ---
  > 5 0.000821565 -0.008371082 -0.0003219647 -0.004876655 9.992007e-05 0.002020606
  1972c1972
  < 5 -0.001920686 0.001987299 -0.00156819 0.001298961
  ---
  > 5 -0.001920686 0.001987299 -0.00156819 0.001176836
  1978,1988c1978,1988
  < 1 -0.1914360 0.0005111671 -4.171328e-03 -0.0001118931 1.540835e-03
  < 5 0.0155647 -0.0244929149 -2.783036e-03 -0.0128769820 9.244027e-04
  < 10 0.1711809 -0.0110419981 5.551848e-05 -0.0438056157 7.427492e-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 0.467972498 0.008705425 0.0082032979 0.001648872 -0.001494189 0.57701621
  < 5 0.001246335 0.002825355 0.0005973107 0.001787818 0.000487086 -0.00124345
  < 10 0.081211956 0.010016739 0.0006191814 -0.004629040 0.000414711 -0.10115242
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.111710641 -0.0148343143 -0.0027311486 -3.874678e-03
  < 5 0.001648681 -0.0007438494 0.0009020562 -5.551115e-05
  < 10 -0.016939228 0.0009214851 -0.0128841382 9.769963e-04
  ---
  > 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
  1993c1993
  < 1 0.16699853 -0.000445915 0.0036388443 9.760914e-05 -0.0013441420
  ---
  > 1 0.16699853 -0.000445915 0.0036388443 9.760925e-05 -0.0013441420
  1995c1995
  < 10 -0.45396177 0.029282728 -0.0001472333 1.161699e-01 -0.0001969761
  ---
  > 10 -0.45396177 0.029282728 -0.0001472331 1.161699e-01 -0.0001969759
  1997,1999c1997,1999
  < 1 -0.1915245740 -0.039168668 -0.0093858081 2.220446e-05 0.0003996803
  < 5 -0.0004218847 0.005107026 -0.0006661338 2.986500e-03 -0.0006772360
  < 10 0.7677414260 -0.090530014 -0.0018429702 -2.390033e-01 -0.0014543922
  ---
  > 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
  2001c2001
  < 1 -0.2551046555 0.0613633030 0.0103845392 0.0003832182 0.0022257522
  ---
  > 1 -0.2544274195 0.0621959703 0.0103841922 0.0006496718 0.0022458750
  2003c2003
  < 10 0.6398983866 0.0208223318 0.0023178226 -0.0604441144 0.0013806054
  ---
  > 10 0.6393543773 0.0208032498 0.0012631107 -0.0606023212 0.0009587209
  2008c2008
  < 1 0.03041583 0.07029452 4.296460e-03 -0.0001342122 2.802278e-03
  ---
  > 1 0.03041583 0.07029452 4.296460e-03 -0.0001342124 2.802278e-03
  2011,2018c2011,2018
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.002020606 -0.1624367 -0.002773649 -0.0001998401 0.0299787972
  < 5 -0.001443290 0.1760148 0.006783463 -0.0127287070 -0.0751843032
  < 10 -0.260647059 0.1510032 0.001798561 0.0803038191 -0.0007660539
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.158206781 0.2024936 0.003019893 -0.0007327472 -0.0392644250
  < 5 0.002553513 -0.3259060 -0.002886580 0.0069666495 0.1228683821
  < 10 -0.100097708 -0.1050108 -0.002120526 -0.0071859185 -0.0007438494
  ---
  > 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
  2038c2038
  < 1 0.037231463 0.08604624 5.259219e-03 -0.0001642873 3.430217e-03
  ---
  > 1 0.037231463 0.08604624 5.259219e-03 -0.0001642868 3.430217e-03
  2042,2048c2042,2048
  < 1 -0.0610753990 -0.08409900 -0.0028929402 -0.0003272074 2.598692e-02
  < 5 0.0002622427 0.25656641 -0.0021074005 0.0103567751 -4.184680e-02
  < 10 -0.0391849297 -0.01162983 -0.0007076883 0.0083944303 -2.354261e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1922573212 0.24932278 0.003701900 0.001021405 -0.048094168
  < 5 -0.0009547918 0.18112734 0.001187939 -0.003846923 -0.067890138
  < 10 0.0466959804 0.04959123 -0.001065814 0.003179401 -0.001687539
  ---
  > 1 -0.0610087855 -0.08409900 -0.0028929402 -0.0002161851 0.0259910802
  > 5 0.0002844472 0.25653865 -0.0024182628 0.0103428973 -0.0417912936
  > 10 -0.0392182364 -0.01163607 -0.0006188705 0.0083375314 0.0004427512
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.19239055 0.24932278 0.003701900 0.001509903 -0.048102494
  > 5 -0.00104361 0.18117174 0.001765255 -0.003824718 -0.067645889
  > 10 0.04675149 0.04959089 -0.001532108 0.003269607 -0.001865175
  2053,2063c2053,2063
  < 1 -0.032478744 -0.07506215 -4.587862e-03 0.000143315 -2.992339e-03
  < 5 -0.007328382 0.04695897 3.705861e-02 -0.013473142 2.183363e-02
  < 10 0.198260468 -0.06846619 -9.389189e-05 -0.056256712 4.836709e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0021982416 0.1733724 0.0029604791 -0.0008881784 -0.032063241
  < 5 -0.0002442491 -0.1100675 -0.0047517545 0.0077576834 0.046329607
  < 10 -0.3263722625 0.1892944 0.0002775558 0.1006361661 -0.001310063
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.1092772218 -0.10238437 -0.0027301364 0.0003611308 0.031157781
  < 5 0.0003954697 0.55816959 0.0044318134 -0.0007482306 -0.159541547
  < 10 -0.2871421397 -0.07183722 -0.0002635985 0.0375155803 0.001408645
  ---
  > 1 -0.032478744 -0.07506215 -4.587862e-03 0.0001433151 -2.992339e-03
  > 5 -0.007328382 0.04695897 3.705861e-02 -0.0134731424 2.183363e-02
  > 10 0.198260468 -0.06846619 -9.389189e-05 -0.0562567122 4.836709e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.0013655743 0.1729172 0.0029592648 -0.001421085 -0.032075731
  > 5 -0.0002442491 -0.1100675 -0.0047517545 0.007757683 0.046274096
  > 10 -0.3263500581 0.1892979 0.0005218048 0.100618125 -0.001021405
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.1096546977 -0.10232886 -0.002728228 0.0012049003 0.0311550050
  > 5 0.0003954697 0.55816959 0.004431813 -0.0007482306 -0.1594527296
  > 10 -0.2875418200 -0.07185491 -0.001040755 0.0374572936 0.0004760582
  2068,2078c2068,2078
  < 1 0.0595716565 1.341879e-02 0.0722787329 -0.0007605946 -0.0128805561
  < 5 0.0027118469 -5.705155e-02 -0.3158272829 0.1826448262 -0.0249879387
  < 10 0.0001804168 -9.407846e-06 -0.0004331201 0.0111149258 0.0000233471
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.065114580 -0.0467292871 -0.056142244 0.0001776357 -0.0573388559
  < 5 0.001088019 0.0072719608 0.038791192 -0.1459082855 0.0060729199
  < 10 -0.001254552 0.0001085937 0.003552714 -0.0381278342 -0.0007993606
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -1.856293e-01 7.170931e-02 0.057604269 -0.001265654 0.0766470221
  < 5 -6.661338e-05 -5.961898e-03 -0.028421709 0.127503563 -0.0048294702
  < 10 8.437695e-04 -7.147061e-05 -0.002675637 0.032070180 -0.0006217249
  ---
  > 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
  2083c2083
  < 1 -3.539162e-02 5.056612e-02 8.698175e-02 -0.0007680382 1.565517e-02
  ---
  > 1 -3.539162e-02 5.056612e-02 8.698175e-02 -0.0007680381 1.565517e-02
  2098,2108c2098,2108
  < 1 0.0729205808 1.642570e-02 0.0884750813 -0.0009310299 -1.576685e-02
  < 5 -0.0015073571 3.171160e-02 0.1755497949 -0.1015215078 1.388932e-02
  < 10 -0.0000852991 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 -0.1735781739 -1.939633e-02 -0.054013800 -0.000562555 -0.0417191919
  < 5 -0.0010489158 -3.247595e-03 -0.016393825 0.030272924 -0.0028220360
  < 10 -0.0001915264 -6.657304e-05 -0.002142592 0.006630071 -0.0007005948
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.2277289468 8.902878e-02 0.070511999 -0.0001110223 0.093866581
  < 5 0.0008881784 3.552714e-03 0.016353585 -0.0705713266 0.003552714
  < 10 -0.0001221245 3.087808e-05 0.001210143 -0.0151267887 0.001609823
  ---
  > 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
  2113c2113
  < 1 -0.0636120272 -1.432890e-02 -0.077180944 0.0008121809 1.375416e-02
  ---
  > 1 -0.0636120274 -1.432890e-02 -0.077180944 0.0008121808 1.375416e-02
  2115c2115
  < 10 0.0002262086 -1.179571e-05 -0.000543053 0.0139360598 2.927147e-05
  ---
  > 10 0.0002262085 -1.179571e-05 -0.000543053 0.0139360597 2.927147e-05
  2117,2123c2117,2123
  < 1 6.876721e-02 0.0498601160 0.059946059 0.0002442491 0.0612732087
  < 5 -8.881784e-05 -0.0046296300 -0.024624747 0.0912547815 -0.0040856207
  < 10 -1.587619e-03 0.0001477984 0.004796163 -0.0478631024 0.0006328271
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.1032781418 -0.0414675646 -0.046809060 0.000214601 -0.0532967364
  < 5 -0.0019815034 0.0047515620 0.022153118 -0.130617822 0.0030954525
  < 10 0.0005412214 -0.0001373498 -0.003752416 0.028801224 -0.0004341404
  ---
  > 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
  2128c2128
  < 1 -0.0005028643 -9.699352e-06 -0.0176521868 0.0009921307 -1.212553e-03
  ---
  > 1 -0.0005028642 -9.699463e-06 -0.0176521868 0.0009921306 -1.212553e-03
  2130c2130
  < 10 0.1691118553 -1.216878e-02 0.0003768608 -0.2193776310 9.145207e-05
  ---
  > 10 0.1691118553 -1.216878e-02 0.0003768608 -0.2193776310 9.145218e-05
  2132,2138c2132,2138
  < 1 -1.110223e-05 -0.0001887379 0.002225043 -2.220446e-05 -8.326673e-06
  < 5 1.110223e-04 0.0091537888 -0.023814284 2.620876e-01 -1.961764e-02
  < 10 -2.723488e-01 0.0350434959 -0.001987299 3.630291e-01 -6.994405e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -1.110223e-05 -0.0003663736 -0.001809924 0.0006439294 9.714451e-06
  < 5 1.376677e-03 -0.0133171252 0.020394797 -0.3112093916 3.217426e-02
  < 10 -1.074585e-01 -0.0190857746 0.001587619 -0.1544389616 6.106227e-04
  ---
  > 1 4.440892e-05 -0.0001221245 0.002225390 0.0005107026 -5.551115e-06
  > 5 1.110223e-04 0.0091537888 -0.023980817 0.2620736961 -1.967315e-02
  > 10 -2.724043e-01 0.0350469653 -0.001987299 0.3630221124 -8.770762e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 1.110223e-05 2.220446e-05 -0.001810271 0.0001332268 6.938894e-06
  > 5 1.376677e-03 -1.331713e-02 0.020661250 -0.3111871871 3.226308e-02
  > 10 -1.073697e-01 -1.908092e-02 0.001587619 -0.1544278594 8.659740e-04
  2143c2143
  < 1 -5.028739e-04 -9.699463e-06 -1.800810e-02 0.0009921314 -1.213108e-03
  ---
  > 1 -5.028739e-04 -9.699463e-06 -1.800810e-02 0.0009921313 -1.213108e-03
  2148c2148
  < 5 0.0002664535 0.009214851 -0.02382539 0.2620432 -0.01997291 0.001465494
  ---
  > 5 0.0002664535 0.009214851 -0.02399192 0.2620293 -0.02002842 0.001465494
  2151,2153c2151,2153
  < 1 0.00000000 0.0000000 0.0000000 0.00000000
  < 5 -0.01323386 0.0199174 -0.3111317 0.03212985
  < 10 0.00000000 0.0000000 0.0000000 0.00000000
  ---
  > 1 0.00000000 0.00000000 0.0000000 0.00000000
  > 5 -0.01323386 0.02018385 -0.3111095 0.03221867
  > 10 0.00000000 0.00000000 0.0000000 0.00000000
  2158c2158
  < 1 -0.0006155477 -1.187317e-05 -0.0216077206 0.001214449 -1.484263e-03
  ---
  > 1 -0.0006155476 -1.187317e-05 -0.0216077206 0.001214449 -1.484263e-03
  2160c2160
  < 10 -0.0799546320 5.753295e-03 -0.0001781765 0.103719859 -4.323808e-05
  ---
  > 10 -0.0799546321 5.753295e-03 -0.0001781765 0.103719859 -4.323808e-05
  2162,2168c2162,2168
  < 1 0.0003663638 -0.0001110224 0.0023669039 -0.0003330661 -4.565825e-05
  < 5 0.0004982815 0.0147082990 0.0099472311 0.1112696683 -7.365153e-03
  < 10 -0.0450972980 -0.0037692317 0.0002962028 0.0614080676 4.655298e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0001998401 0.0005107026 -0.002212813 0.0005329071 2.775558e-06
  < 5 -0.0013100632 0.0081101792 -0.011524115 0.1730254828 -1.820766e-02
  < 10 0.0498046049 0.0089945412 -0.001376677 0.0729014071 -2.198242e-03
  ---
  > 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
  2175c2175
  < 10 0.2120349670 -1.525740e-02 0.0004725133 -0.275058947 0.0001146631
  ---
  > 10 0.2120349669 -1.525740e-02 0.0004725133 -0.275058947 0.0001146629
  2177,2183c2177,2183
  < 1 4.440892e-05 -0.0003774758 -0.002383684 -0.0002442491 -5.551115e-06
  < 5 -2.220446e-05 -0.0057120975 0.015565327 -0.1638716940 1.232348e-02
  < 10 -3.420708e-01 0.0439089737 -0.002964295 0.4550720911 1.110223e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0003774662 0.0002109424 0.001583243 -0.0004440883 1.526251e-06
  < 5 -0.0003010789 0.0287470692 -0.015132707 0.4516584965 -3.708582e-02
  < 10 -0.3081646438 -0.0111019078 0.002949636 0.0395338984 1.597957e-03
  ---
  > 1 0.0002442491 0.0002553513 -0.002381862 -0.0003552714 1.595946e-05
  > 5 -0.0002886580 -0.0056732397 0.015698554 -0.1638522651 1.240119e-02
  > 10 -0.3417044425 0.0439155656 -0.002642331 0.4551345412 3.441691e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 8.880835e-05 -0.0001221245 0.001580814 -0.0003774749 -2.900488e-05
  > 5 2.318281e-04 0.0286860069 -0.015343649 0.4516279654 -3.720795e-02
  > 10 -3.079426e-01 -0.0111029487 0.002883023 0.0395283473 1.531344e-03
  2188c2188
  < 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311507e-04 -4.072218e-02
  ---
  > 1 8.197502e-03 -2.204818e-02 2.258147e-02 -3.311511e-04 -4.072218e-02
  2190c2190
  < 10 -1.991740e-07 7.164831e-05 9.264811e-07 6.388307e-06 4.638112e-05
  ---
  > 10 -1.996181e-07 7.164832e-05 9.262591e-07 6.388307e-06 4.638101e-05
  2192,2198c2192,2198
  < 1 -0.021360691 0.042787995 -1.572128e-02 8.881784e-04 -2.068984e-01
  < 5 -0.001021405 -0.072553075 2.209344e-03 -3.879674e-02 2.601142e-01
  < 10 0.000577316 -0.000514519 1.110223e-05 3.885781e-05 7.771561e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -1.565414e-03 -0.0472732964 0.0158719392 -1.287859e-03 2.698994e-01
  < 5 6.661338e-05 0.1261157845 -0.0019984014 4.480027e-02 -4.315437e-01
  < 10 -6.328271e-04 0.0005467848 0.0005440093 -4.996004e-05 -8.881784e-05
  ---
  > 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
  2203c2203
  < 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258284e-04 5.445139e-02
  ---
  > 1 -1.264643e-03 -5.179291e-02 2.689160e-02 -3.258285e-04 5.445139e-02
  2205c2205
  < 10 -2.565725e-07 -2.787156e-05 -1.707523e-06 -9.407752e-07 5.954703e-05
  ---
  > 10 -2.570166e-07 -2.787156e-05 -1.707745e-06 -9.407752e-07 5.954681e-05
  2208c2208
  < 5 -0.001199041 -0.07262524 0.002464695 -0.03883283 0.2602918 6.661338e-05
  ---
  > 5 -0.001199041 -0.07262524 0.002620126 -0.03883283 0.2604028 6.661338e-05
  2212c2212
  < 5 0.1259548 -0.002264855 0.04482248 -0.4320433
  ---
  > 5 0.1259548 -0.002509104 0.04482248 -0.4318879
  2218c2218
  < 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053546e-04 -4.984727e-02
  ---
  > 1 1.003441e-02 -2.698878e-02 2.764156e-02 -4.053549e-04 -4.984727e-02
  2220c2220
  < 10 9.414691e-08 -3.387472e-05 -4.377609e-07 -3.020403e-06 -2.192879e-05
  ---
  > 10 9.392487e-08 -3.387472e-05 -4.378720e-07 -3.020417e-06 -2.192901e-05
  2222,2228c2222,2228
  < 1 -0.0349861723 0.0208814392 -0.0149312454 -2.167224e-04 -0.1581238169
  < 5 -0.0001495367 -0.0332928163 -0.0009259933 6.103631e-03 0.1085313623
  < 10 0.0002108853 0.0001429945 0.0004969665 -7.949352e-05 -0.0002532875
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0019761970 -0.0573541215 0.0194253467 1.509903e-03 3.304322e-01
  < 5 0.0002886580 -0.0701605440 0.0004218847 -2.479128e-02 2.400635e-01
  < 10 -0.0005551115 -0.0002702699 0.0009992007 8.187895e-05 8.881784e-05
  ---
  > 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
  2233c2233
  < 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536110e-04 4.348411e-02
  ---
  > 1 -8.753487e-03 2.354357e-02 -2.411302e-02 3.536108e-04 4.348411e-02
  2235c2235
  < 10 -2.494671e-07 8.983375e-05 1.162404e-06 8.009829e-06 5.815404e-05
  ---
  > 10 -2.496892e-07 8.983374e-05 1.161959e-06 8.009801e-06 5.815393e-05
  2237,2243c2237,2243
  < 1 0.0227151631 -0.0449418280 0.0167893477 0.0003108624 0.2209510352
  < 5 -0.0002442491 0.0449085213 -0.0025091040 0.0239530618 -0.1636135671
  < 10 -0.0003219647 -0.0006616235 -0.0009769963 -0.0001693090 -0.0008881784
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -6.886428e-03 0.0223358310 -0.012627619 -0.0001501091 -0.1930000855
  < 5 6.942333e-04 -0.1520755777 0.002393573 -0.0431597399 0.5252202680
  < 10 3.324901e-05 0.0005905531 -0.000102554 0.0001272854 0.0004128461
  ---
  > 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
  2252,2258c2252,2258
  < 1 -0.070843331 -0.0504485342 -0.0018146942 0.0007549517 0.0106727127
  < 5 0.001887379 0.0006883383 0.0009325873 -0.0130923050 0.0006439294
  < 10 1.371469605 0.1646793812 0.0014432899 -0.2398192755 0.0015765167
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.2421174372 0.3040789842 0.0029904031 0.0001332268 -3.313946e-02
  < 5 0.0005329071 0.0001776357 -0.0005995204 -0.0062366778 -5.551115e-05
  < 10 0.9961031999 -0.0375151299 0.0004662937 0.0359615115 -5.329071e-04
  ---
  > 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
  2263c2263
  < 1 -0.6264994451 4.100418e-03 0.0059716341 -0.00137778 -2.316509e-03
  ---
  > 1 -0.6264994450 4.100418e-03 0.0059716341 -0.00137778 -2.316509e-03
  2265c2265
  < 10 -0.0003509968 -9.323611e-06 -0.0004380037 0.02437201 -2.752198e-05
  ---
  > 10 -0.0003509967 -9.323611e-06 -0.0004380036 0.02437201 -2.752165e-05
  2267,2273c2267,2273
  < 1 0.9772516130 6.221690e-02 -0.0150921810 -0.001088019 -0.0098997199
  < 5 0.0002442491 -7.771561e-05 0.0003330669 -0.007277512 -0.0002775558
  < 10 0.0027422509 1.013079e-04 0.0034416914 -0.093568209 -0.0007327472
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 1.3408607558 -1.367129e-01 0.0305813534 0.001332268 0.0302646797
  < 5 0.0007105427 -9.992007e-05 0.0003219647 -0.001354472 0.0003774758
  < 10 -0.0024424907 -6.418477e-05 -0.0024424907 0.052716165 -0.0002220446
  ---
  > 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 0.0007378606 -0.0001109123 -0.0086395551 0.0007646158 -0.0003863348
  < 5 -0.0470257371 0.0487535608 0.0198264970 -0.0330590412 -0.0022706468
  < 10 -0.9267771057 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 0.0001776357 0.0001665335 0.0032098456 0.000000000 1.734723e-05
  < 5 0.0021316282 -0.0227207142 -0.0003219647 0.000457967 3.774758e-04
  < 10 0.9468092976 -0.0395249805 -0.0020095037 0.555973323 1.632028e-03
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0005218048 0.001010303 -3.356777e-03 6.661338e-04 1.387779e-05
  < 5 0.0001998401 -0.008604228 8.881784e-05 -8.604228e-05 -4.662937e-04
  < 10 0.6986855539 0.042876813 1.598721e-03 -1.390554e-03 -5.884182e-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 -0.0036737540 -5.345182e-03 -6.740861e-04 -2.293194e-02
  < 5 -1.545181e-03 0.0172112924 8.605979e-04 7.059142e-03 -1.421068e-03
  < 10 5.162537e-08 0.0001321922 -1.171285e-06 5.837816e-06 6.550316e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.7354561404 0.063604677 0.0068527649 1.332268e-04 -3.567285e-02
  < 5 -0.0003330669 -0.004918288 -0.0004996004 -1.892930e-03 -2.220446e-04
  < 10 0.0002664535 -0.000859382 -0.0010436096 1.110223e-05 1.110223e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.7292721982 -0.2369326957 -0.006436518 -8.881784e-05 1.443325e-01
  < 5 0.0005773160 -0.0003941292 0.001509903 5.273559e-05 4.440892e-05
  < 10 0.0008326673 0.0007070733 0.001165734 -2.220446e-05 9.325873e-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
  2308,2309c2308,2309
  < 1 0.1216288718 1.010428e-01 0.0129129544 9.811751e-05 0.0096845095
  < 5 0.0104474160 -1.010648e-01 -0.1919944500 1.673755e-01 -0.0132539839
  ---
  > 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
  2312,2318c2312,2318
  < 1 -0.0604627459 -2.936207e-01 -0.007351498 -0.0002220446 0.04148210
  < 5 -0.0001776357 4.840572e-03 0.014810375 -0.1264571781 0.00184297
  < 10 -0.0028754776 8.916479e-05 0.002975398 -0.0415958934 -0.00124345
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.5241029832 3.660294e-01 0.007810419 0.001332268 -0.0566942326
  < 5 0.0003330669 -3.436140e-03 -0.008792966 0.081518126 -0.0007549517
  < 10 0.0008326673 -9.922618e-05 -0.003108624 0.038942460 -0.0002997602
  ---
  > 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 -0.0004187246 0.0002454352 -0.0005131758 0.0002677683 -0.0010347530
  < 5 0.0281674580 0.2706950980 0.0549985044 -0.1399743114 -0.1044487195
  < 10 0.8782746195 -0.0933159674 0.0005677632 -0.5438053339 0.0004404496
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 2.220446e-05 -2.220446e-05 1.838807e-05 -0.0004662937 -6.938894e-07
  < 5 -3.996803e-04 1.102951e-01 1.965095e-03 0.1708216901 -9.909851e-02
  < 10 -1.059197e+00 2.127444e-01 -2.786660e-03 0.6461164936 -5.107026e-04
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0006106227 -0.0001554312 -2.593412e-05 -0.0001998401 2.775558e-06
  < 5 -0.0013988810 -0.2457700710 -2.464695e-03 -0.0884625706 1.584843e-01
  < 10 -0.8245182315 -0.1579552461 5.440093e-04 -0.1716959908 5.884182e-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 -1.702299e-04 -0.0011435364
  < 5 -1.669579e-03 2.395467e-02 -3.079980e-02 3.115252e-02 0.1865715714
  < 10 -4.753975e-07 -9.647352e-07 5.882517e-06 2.540025e-05 0.0002437452
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.091648911 -3.097744e-01 -0.0075207202 4.440892e-05 -0.0525121613
  < 5 0.001065814 2.530143e-01 0.0042410520 -4.338196e-02 0.2179811887
  < 10 0.001210143 2.706169e-05 0.0009992007 -1.817990e-04 0.0009992007
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.314459569 3.838374e-01 0.008053540 -0.0003552714 0.0673759659
  < 5 -0.002620126 -4.370670e-01 -0.005628831 0.0371730424 -0.3167244245
  < 10 -0.001143530 -1.700029e-05 -0.000865974 0.0001998401 -0.0006994405
  ---
  > 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 3.440792e-05 0.0002428329 0.0072136680 -0.0046351080
  < 5 0.010450845 -7.184590e-02 -0.4796558332 -0.4060867921 -0.0302073599
  < 10 0.001176697 -5.155399e-05 -0.0023774814 -0.0002928755 0.0001158893
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0002664535 0.001021405 1.734723e-06 0.0001332268 8.049117e-05
  < 5 -0.0030864200 0.030764280 1.625033e-01 0.0309446913 2.363665e-02
  < 10 -0.0082933660 0.000564826 1.845191e-02 0.0028879676 1.953993e-03
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0007105427 -0.0004551914 -6.071532e-07 0.0007771561 0.0000000000
  < 5 0.0022204460 -0.0251410004 -1.190159e-01 -0.0254046784 -0.0213495888
  < 10 0.0048516746 -0.0004402728 -1.491030e-02 -0.0021163626 -0.0004107825
  ---
  > 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
  2370c2370
  < 10 4.794276e-06 2.071954e-08 5.887957e-06 7.576578e-07 5.888734e-06
  ---
  > 10 4.794276e-06 2.072301e-08 5.887957e-06 7.576301e-07 5.888623e-06
  2372,2378c2372,2378
  < 1 -0.356847885 5.917489e-03 -0.1078133242 0.0003774758 -0.4961003830
  < 5 -0.002398082 -2.220446e-05 -0.0001665335 -0.0599270633 -0.0003996803
  < 10 -0.001088019 -1.387779e-05 -0.0011546319 -0.0001387779 -0.0011102230
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.2920441666 3.611555e-02 0.1061131218 1.110223e-03 0.6975621469
  < 5 0.0025091040 -4.996004e-05 0.0006994405 6.294687e-02 0.0009547918
  < 10 0.0004218847 1.942890e-05 0.0005329071 -3.191891e-05 0.0004329870
  ---
  > 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
  2383,2384c2383,2384
  < 1 -2.102100e-03 -1.014494e-04 -3.360329e-02 4.544331e-03 9.415917e-05
  < 5 -4.594576e-04 -6.481625e-02 -1.034060e-02 -3.817983e-02 2.805260e-01
  ---
  > 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
  2387,2393c2387,2393
  < 1 -0.0006994405 0.0019206858 0.003119727 -1.998401e-04 1.179612e-05
  < 5 0.0006439294 -0.0649535981 0.005717649 1.901479e-01 3.200329e-01
  < 10 -0.0001887379 -0.0006942363 -0.001088019 -1.387779e-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 -0.0001110223 -0.0008215650 -0.0024013777 -7.327472e-04 -4.440892e-05
  < 5 0.0003108624 0.1231736935 -0.0034638958 -2.745720e-01 -5.326739e-01
  < 10 -0.0001776357 0.0007795847 -0.0001110223 -7.910339e-05 -5.440093e-04
  ---
  > 1 -0.0002109424 0.0017874591 0.0031186859 -3.330669e-04 1.040834e-05
  > 5 0.0006439294 -0.0650257626 0.0056288307 1.901118e-01 3.198886e-01
  > 10 -0.0001110223 -0.0006918077 -0.0007993606 1.804112e-05 -1.665335e-04
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0002442491 -0.0005551115 -0.0023992960 -4.662937e-04 -1.804112e-05
  > 5 0.0003108624 0.1232181024 -0.0034638958 -2.745498e-01 -5.325851e-01
  > 10 -0.0002997602 0.0007757683 -0.0006217249 -7.077672e-05 -5.440093e-04
  2397,2411c2397,2411
  < d_y1_d_x1 -1.563915e-01 0.0916347384 -0.1914359596 1.669985e-01 0.0304158302
  < d_y2_d_x1 4.175920e-04 -0.0361629799 0.0005111671 -4.459150e-04 0.0702945168
  < d_y3_d_x1 -3.407720e-03 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964603
  < d_y4_d_x1 -9.140944e-05 -0.0001078718 -0.0001118931 9.760914e-05 -0.0001342122
  < d_y5_d_x1 1.258768e-03 0.0001281769 0.0015408346 -1.344142e-03 0.0028022778
  < d_y1_d_x2 1.786238e-01 0.0000000000 0.4679724982 -1.915246e-01 -0.0020206059
  < d_y2_d_x2 3.678169e-02 0.0000000000 0.0087054249 -3.916867e-02 -0.1624367307
  < d_y3_d_x2 8.788890e-03 0.0000000000 0.0082032979 -9.385808e-03 -0.0027736494
  < d_y4_d_x2 -5.773160e-04 0.0000000000 0.0016488721 2.220446e-05 -0.0001998401
  < d_y5_d_x2 -2.997602e-04 0.0000000000 -0.0014941889 3.996803e-04 0.0299787972
  < d_y1_d_x3 4.707124e-01 0.0000000000 0.5770162126 -2.551047e-01 -0.1582067810
  < d_y2_d_x3 -9.208190e-02 0.0000000000 -0.1117106407 6.136330e-02 0.2024935775
  < d_y3_d_x3 -1.212563e-02 0.0000000000 -0.0148343143 1.038454e-02 0.0030198934
  < d_y4_d_x3 2.442491e-04 0.0000000000 -0.0027311486 3.832182e-04 -0.0007327472
  < d_y5_d_x3 -3.116951e-03 0.0000000000 -0.0038746784 2.225752e-03 -0.0392644250
  ---
  > d_y1_d_x1 -0.1563914767 0.0916347381 -0.1914359595 1.669985e-01 0.0304158301
  > d_y2_d_x1 0.0004175918 -0.0361629801 0.0005111674 -4.459150e-04 0.0702945167
  > d_y3_d_x1 -0.0034077201 -0.0059668201 -0.0041713281 3.638844e-03 0.0042964603
  > d_y4_d_x1 -0.0000914101 -0.0001078725 -0.0001118924 9.760925e-05 -0.0001342124
  > d_y5_d_x1 0.0012587677 0.0001281769 0.0015408346 -1.344142e-03 0.0028022777
  > d_y1_d_x2 0.1785016579 0.0000000000 0.4676505335 -1.918132e-01 -0.0017874591
  > d_y2_d_x2 0.0368594044 0.0000000000 0.0082391312 -3.943512e-02 -0.1621813794
  > d_y3_d_x2 0.0087862877 0.0000000000 0.0082012162 -9.385721e-03 -0.0027707871
  > d_y4_d_x2 -0.0010214052 0.0000000000 0.0006496715 -1.110223e-04 -0.0001776357
  > d_y5_d_x2 -0.0003004541 0.0000000000 -0.0015143116 3.989864e-04 0.0299947567
  > d_y1_d_x3 0.4700240197 0.0000000000 0.5775824263 -2.544274e-01 -0.1587951992
  > d_y2_d_x3 -0.0920929999 0.0000000000 -0.1112443471 6.219597e-02 0.2018163414
  > d_y3_d_x3 -0.0121292733 0.0000000000 -0.0148305847 1.038419e-02 0.0030158168
  > d_y4_d_x3 -0.0014210855 0.0000000000 -0.0019761970 6.496718e-04 -0.0011546319
  > d_y5_d_x3 -0.0031502578 0.0000000000 -0.0038392900 2.245875e-03 -0.0393067523
  2413,2414c2413,2414
  < d_y1_d_x1 -0.0282392827 0.0372314635 -0.0324787445 0.0595716565 -0.0353916250
  < d_y2_d_x1 0.1850031566 0.0860462380 -0.0750621515 0.0134187917 0.0505661193
  ---
  > 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
  2416c2416
  < d_y4_d_x1 -0.0001283527 -0.0001642873 0.0001433150 -0.0007605946 -0.0007680382
  ---
  > d_y4_d_x1 -0.0001283527 -0.0001642868 0.0001433151 -0.0007605947 -0.0007680381
  2418,2427c2418,2427
  < d_y1_d_x2 0.0000000000 -0.0610753990 0.0021982416 -0.0651145804 0.0000000000
  < d_y2_d_x2 0.0000000000 -0.0840989970 0.1733724275 -0.0467292871 0.0000000000
  < d_y3_d_x2 0.0000000000 -0.0028929402 0.0029604791 -0.0561422436 0.0000000000
  < d_y4_d_x2 0.0000000000 -0.0003272074 -0.0008881784 0.0001776357 0.0000000000
  < d_y5_d_x2 0.0000000000 0.0259869169 -0.0320632410 -0.0573388559 0.0000000000
  < d_y1_d_x3 0.0000000000 -0.1922573212 0.1092772218 -0.1856292897 0.0000000000
  < d_y2_d_x3 0.0000000000 0.2493227846 -0.1023843704 0.0717093052 0.0000000000
  < d_y3_d_x3 0.0000000000 0.0037018999 -0.0027301364 0.0576042686 0.0000000000
  < d_y4_d_x3 0.0000000000 0.0010214052 0.0003611308 -0.0012656542 0.0000000000
  < d_y5_d_x3 0.0000000000 -0.0480941675 0.0311577806 0.0766470221 0.0000000000
  ---
  > 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 0.0729205808 -0.0636120272 -5.028643e-04 -5.028739e-04 -6.155477e-04
  < d_y2_d_x1 0.0164256991 -0.0143289041 -9.699352e-06 -9.699463e-06 -1.187317e-05
  < d_y3_d_x1 0.0884750813 -0.0771809445 -1.765219e-02 -1.800810e-02 -2.160772e-02
  < d_y4_d_x1 -0.0009310299 0.0008121809 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 -0.1735781739 0.0687672141 -1.110223e-05 0.000000e+00 3.663638e-04
  < d_y2_d_x2 -0.0193963312 0.0498601160 -1.887379e-04 0.000000e+00 -1.110224e-04
  < d_y3_d_x2 -0.0540138001 0.0599460585 2.225043e-03 0.000000e+00 2.366904e-03
  < d_y4_d_x2 -0.0005625550 0.0002442491 -2.220446e-05 0.000000e+00 -3.330661e-04
  < d_y5_d_x2 -0.0417191919 0.0612732087 -8.326673e-06 0.000000e+00 -4.565825e-05
  < d_y1_d_x3 -0.2277289468 0.1032781418 -1.110223e-05 0.000000e+00 1.998401e-04
  < d_y2_d_x3 0.0890287843 -0.0414675646 -3.663736e-04 0.000000e+00 5.107026e-04
  < d_y3_d_x3 0.0705119990 -0.0468090598 -1.809924e-03 0.000000e+00 -2.212813e-03
  < d_y4_d_x3 -0.0001110223 0.0002146010 6.439294e-04 0.000000e+00 5.329071e-04
  < d_y5_d_x3 0.0938665812 -0.0532967364 9.714451e-06 0.000000e+00 2.775558e-06
  ---
  > 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 5.369704e-04 0.0081975019 -0.0012646431 0.0100344134 -0.0087534866
  < d_y2_d_x1 1.035705e-05 -0.0220481803 -0.0517929112 -0.0269887752 0.0235435700
  < d_y3_d_x1 1.884942e-02 0.0225814660 0.0268916000 0.0276415615 -0.0241130247
  < d_y4_d_x1 -1.059421e-03 -0.0003311507 -0.0003258284 -0.0004053546 0.0003536110
  < d_y5_d_x1 1.294792e-03 -0.0407221763 0.0544513899 -0.0498472747 0.0434841052
  < d_y1_d_x2 4.440892e-05 -0.0213606910 0.0000000000 -0.0349861723 0.0227151631
  < d_y2_d_x2 -3.774758e-04 0.0427879954 0.0000000000 0.0208814392 -0.0449418280
  < d_y3_d_x2 -2.383684e-03 -0.0157212784 0.0000000000 -0.0149312454 0.0167893477
  < d_y4_d_x2 -2.442491e-04 0.0008881784 0.0000000000 -0.0002167224 0.0003108624
  < d_y5_d_x2 -5.551115e-06 -0.2068983873 0.0000000000 -0.1581238169 0.2209510352
  < d_y1_d_x3 3.774662e-04 -0.0015654145 0.0000000000 -0.0019761970 -0.0068864278
  < d_y2_d_x3 2.109424e-04 -0.0472732964 0.0000000000 -0.0573541215 0.0223358310
  < d_y3_d_x3 1.583243e-03 0.0158719392 0.0000000000 0.0194253467 -0.0126276193
  < d_y4_d_x3 -4.440883e-04 -0.0012878587 0.0000000000 0.0015099033 -0.0001501091
  < d_y5_d_x3 1.526251e-06 0.2698993806 0.0000000000 0.3304322094 -0.1930000855
  ---
  > 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 -0.0246672512 -0.626499445 7.378606e-04 -3.524204e-01 1.216289e-01
  < d_y2_d_x1 -0.0388177323 0.004100418 -1.109123e-04 -3.673754e-03 1.010428e-01
  < d_y3_d_x1 0.0002818689 0.005971634 -8.639555e-03 -5.345182e-03 1.291295e-02
  < d_y4_d_x1 -0.0004455039 -0.001377780 7.646158e-04 -6.740861e-04 9.811751e-05
  < d_y5_d_x1 0.0055523561 -0.002316509 -3.863348e-04 -2.293194e-02 9.684509e-03
  < d_y1_d_x2 -0.0708433312 0.977251613 1.776357e-04 7.354561e-01 -6.046275e-02
  < d_y2_d_x2 -0.0504485342 0.062216898 1.665335e-04 6.360468e-02 -2.936207e-01
  < d_y3_d_x2 -0.0018146942 -0.015092181 3.209846e-03 6.852765e-03 -7.351498e-03
  < d_y4_d_x2 0.0007549517 -0.001088019 0.000000e+00 1.332268e-04 -2.220446e-04
  < d_y5_d_x2 0.0106727127 -0.009899720 1.734723e-05 -3.567285e-02 4.148210e-02
  < d_y1_d_x3 0.2421174372 1.340860756 5.218048e-04 7.292722e-01 -5.241030e-01
  < d_y2_d_x3 0.3040789842 -0.136712863 1.010303e-03 -2.369327e-01 3.660294e-01
  < d_y3_d_x3 0.0029904031 0.030581353 -3.356777e-03 -6.436518e-03 7.810419e-03
  < d_y4_d_x3 0.0001332268 0.001332268 6.661338e-04 -8.881784e-05 1.332268e-03
  < d_y5_d_x3 -0.0331394634 0.030264680 1.387779e-05 1.443325e-01 -5.669423e-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 -4.187246e-04 7.726916e-02 -3.537293e-03 0.1647729932 -2.102100e-03
  < d_y2_d_x1 2.454352e-04 2.462559e-01 3.440792e-05 0.0140368147 -1.014494e-04
  < d_y3_d_x1 -5.131758e-04 1.444145e-02 2.428329e-04 0.1852824234 -3.360329e-02
  < d_y4_d_x1 2.677683e-04 -1.702299e-04 7.213668e-03 -0.0038739323 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 2.220446e-05 -9.164891e-02 2.664535e-04 -0.3568478846 -6.994405e-04
  < d_y2_d_x2 -2.220446e-05 -3.097744e-01 1.021405e-03 0.0059174887 1.920686e-03
  < d_y3_d_x2 1.838807e-05 -7.520720e-03 1.734723e-06 -0.1078133242 3.119727e-03
  < d_y4_d_x2 -4.662937e-04 4.440892e-05 1.332268e-04 0.0003774758 -1.998401e-04
  < d_y5_d_x2 -6.938894e-07 -5.251216e-02 8.049117e-05 -0.4961003830 1.179612e-05
  < d_y1_d_x3 -6.106227e-04 -3.144596e-01 7.105427e-04 -0.2920441666 -1.110223e-04
  < d_y2_d_x3 -1.554312e-04 3.838374e-01 -4.551914e-04 0.0361155550 -8.215650e-04
  < d_y3_d_x3 -2.593412e-05 8.053540e-03 -6.071532e-07 0.1061131218 -2.401378e-03
  < d_y4_d_x3 -1.998401e-04 -3.552714e-04 7.771561e-04 0.0011102230 -7.327472e-04
  < d_y5_d_x3 2.775558e-06 6.737597e-02 0.000000e+00 0.6975621469 -4.440892e-05
  ---
  > d_y1_d_x1 -4.187246e-04 0.0772691643 -3.537293e-03 1.647730e-01 -2.102100e-03
  > d_y2_d_x1 2.454353e-04 0.2462559053 3.440803e-05 1.403681e-02 -1.014494e-04
  > d_y3_d_x1 -5.131758e-04 0.0144414535 2.428329e-04 1.852824e-01 -3.360329e-02
  > d_y4_d_x1 2.677683e-04 -0.0001702297 7.213668e-03 -3.873932e-03 4.544332e-03
  > d_y5_d_x1 -1.034753e-03 -0.0011435364 -4.635108e-03 -1.597542e-01 9.415917e-05
  > d_y1_d_x2 -2.220446e-05 -0.0919819776 -2.997602e-04 -3.566258e-01 -2.109424e-04
  > d_y2_d_x2 -2.775558e-04 -0.3098410417 5.662137e-04 6.306067e-03 1.787459e-03
  > d_y3_d_x2 1.708703e-05 -0.0075212406 -1.214306e-06 -1.078121e-01 3.118686e-03
  > d_y4_d_x2 -3.996803e-04 0.0004440892 -4.218847e-04 1.199041e-03 -3.330669e-04
  > d_y5_d_x2 -7.632783e-06 -0.0525211818 6.383782e-05 -4.960955e-01 1.040834e-05
  > d_y1_d_x3 -1.554312e-04 -0.3145705918 5.218048e-04 -2.923661e-01 -2.442491e-04
  > d_y2_d_x3 2.997602e-04 0.3837485885 -9.547918e-04 3.578249e-02 -5.551115e-04
  > d_y3_d_x3 -2.237793e-05 0.0080528466 7.806256e-07 1.061112e-01 -2.399296e-03
  > d_y4_d_x3 3.552714e-04 -0.0004884981 7.105427e-04 -2.220446e-05 -4.662937e-04
  > d_y5_d_x3 2.567391e-05 0.0673676392 9.020562e-06 6.975545e-01 -1.804112e-05
  2502c2502
  < 1: d_y4_d_x2 2.593e-05 2.782e-03 0.009 0.993
  ---
  > 1: d_y4_d_x2 2.593e-05 3.022e-03 0.009 0.993
  2505c2505
  < 1: d_y2_d_x3 -8.944e-02 7.804e-01 -0.115 0.909
  ---
  > 1: d_y2_d_x3 -8.944e-02 7.800e-01 -0.115 0.909
  2507c2507
  < 1: d_y4_d_x3 1.591e-05 4.738e-03 0.003 0.997
  ---
  > 1: d_y4_d_x3 1.592e-05 4.429e-03 0.004 0.997
  2514c2514
  < 2: d_y1_d_x2 6.220e-05 6.219e-03 0.010 0.992
  ---
  > 2: d_y1_d_x2 6.220e-05 6.198e-03 0.010 0.992
  2518,2519c2518,2519
  < 2: d_y5_d_x2 -2.375e-01 5.921e-01 -0.401 0.688
  < 2: d_y1_d_x3 -1.089e-04 7.427e-03 -0.015 0.988
  ---
  > 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
  2521c2521
  < 2: d_y3_d_x3 6.280e-03 1.338e-01 0.047 0.963
  ---
  > 2: d_y3_d_x3 6.280e-03 1.340e-01 0.047 0.963
  2531c2531
  < 3: d_y3_d_x2 -8.285e-04 2.103e-02 -0.039 0.969
  ---
  > 3: d_y3_d_x2 -8.285e-04 2.084e-02 -0.040 0.968
  2533c2533
  < 3: d_y5_d_x2 -2.282e-04 4.721e-03 -0.048 0.961
  ---
  > 3: d_y5_d_x2 -2.282e-04 4.517e-03 -0.051 0.960
  2536,2538c2536,2538
  < 3: d_y3_d_x3 3.932e-04 1.713e-02 0.023 0.982
  < 3: d_y4_d_x3 -1.184e-01 2.719e-01 -0.436 0.663
  < 3: d_y5_d_x3 -6.966e-05 5.008e-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 -0.01082742
  < 6 0.30780492 -0.011892250 0.0074017350 -0.12137112 -0.021925728 -0.23789032
  < 7 0.07992447 -0.029707944 0.3315590576 -0.31694874 -0.068375725 -0.17674114
  < 8 0.08155087 -0.020508926 0.0003633985 -0.07978801 -0.012825935 -0.18498843
  < 9 0.48504410 -0.370739798 0.4291210458 -0.64219058 0.017271062 -0.55278864
  < 10 0.15129311 -0.004673156 0.0262322164 -0.05065797 -0.009032351 -0.08825721
  ---
  > 1 0.38665968 -0.086982861 1.363019e-01 -0.36712086 -0.106556150 -0.494710060
  > 2 0.25441122 -0.123346802 4.215393e-01 -0.12791370 -0.070388217 -0.236463141
  > 3 0.53174011 -0.176879617 4.216246e-01 -0.73033353 0.024004318 -0.412603092
  > 4 0.17898502 -0.140762172 4.970210e-01 -0.60399264 0.150538333 -0.036229164
  > 5 0.02351233 -0.103909568 2.577994e-01 -0.38625024 -0.038057072 -0.004816664
  > 6 0.30780492 -0.011892250 7.401735e-03 -0.12137112 -0.021925728 -0.237890323
  > 7 0.07992447 -0.029707944 3.315591e-01 -0.31694874 -0.068375725 -0.176741135
  > 8 0.08155087 -0.020508926 3.633985e-04 -0.07978801 -0.012825935 -0.184988433
  > 9 0.19320556 -0.095048431 3.587516e-01 -0.52664682 -0.095601525 -0.393952135
  > 10 0.52244762 -0.001558889 -8.811116e-05 -0.05065797 -0.004324226 -0.406170426
  2558,2567c2558,2567
  < 1 0.06475268 -0.0794618802 0.09748031 -0.231719997 -0.476619672 -0.05027849
  < 2 0.29764165 -0.2638440495 0.71557329 -0.376634162 -0.293330954 -0.19289558
  < 3 0.10102181 -0.9476729323 0.55297944 -0.729624222 -0.020067962 -0.21988587
  < 4 0.23644030 -0.4620368539 0.41272903 -0.391738294 -0.255294250 -0.41586935
  < 5 0.27437812 -0.0006287474 0.20363074 -0.334757552 -0.006580415 -0.51893323
  < 6 0.03001197 -0.0282737934 0.16990098 -0.013512968 -0.226915096 -0.03125366
  < 7 0.03452663 -0.2797232532 0.07204689 -0.189716053 -0.204170445 -0.04175822
  < 8 0.04346550 -0.0039813284 0.09720844 -0.007732508 -0.229714046 -0.07128998
  < 9 0.46606545 -0.2287772333 0.38768667 -0.279023158 -0.384204279 -0.36721011
  < 10 0.01060048 -0.0862047733 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 0.873701999
  < 4 0.403422892 -0.39102832 0.504590682
  < 5 0.001022828 -0.24949901 0.541962486
  < 6 0.020136173 -0.11025144 0.020705656
  < 7 0.207892066 -0.05152273 0.272450182
  < 8 0.002910300 -0.11236499 0.011243763
  < 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 -0.0007987828 -1.603986e-02
  < 5 0.1281234 -0.0316788201 -0.0132311873 -0.0151197907 1.275610e-02
  < 10 0.1740916 0.0009378468 0.0004647784 0.0059944004 2.177435e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.13863090 -0.0535759655 -0.0172886890 -0.077526169 1.774639e-02
  < 5 -0.03585263 0.0200954686 0.0013159291 0.025871054 -1.007107e-02
  < 10 -0.09475977 -0.0009064958 -0.0003100021 0.005052671 3.214952e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.04493276 0.063714416 0.0322059509 0.06784511 0.0401540436
  < 5 -0.02244727 -0.051336674 -0.0005945634 -0.03684373 0.0245291349
  < 10 -0.08081413 0.004809795 0.0046428069 0.01804501 0.0006207134
  ---
  > 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 0.1950255753 0.0622719553 0.0401397380 -1.099614e-02
  < 5 -0.0316788201 0.2473507471 -0.0088770386 0.0847896418 -9.812528e-02
  < 10 0.0009378468 0.0006345412 0.0003527605 0.0002012175 5.187389e-07
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.038851733 -0.09440803 -0.0294231323 -6.366598e-03 1.652178e-02
  < 5 0.002784063 0.09608220 -0.0001629458 -7.411437e-02 -3.845609e-02
  < 10 -0.001275246 -0.00115861 -0.0008819298 -8.034912e-05 1.930714e-05
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.046882017 0.082623117 0.0357147077 -0.0048630020 -1.803881e-02
  < 5 0.003674265 -0.152732326 -0.0011816124 0.1033788983 7.081089e-02
  < 10 -0.001543650 0.001684522 0.0006369588 0.0002901469 -7.890441e-06
  ---
  > 1 -0.017218365 0.1950255753 6.227196e-02 0.040139738 -1.099614e-02
  > 5 -0.049296237 0.2929895650 3.153824e-01 -0.201184137 -4.192393e-02
  > 10 0.004432102 0.0005037651 7.202316e-06 0.000641001 2.136184e-05
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.038857208 -0.094400097 -2.942319e-02 -0.0063543095 0.0165336330
  > 5 0.009249418 -0.068181151 -1.950387e-01 0.0880736080 0.0673953794
  > 10 -0.009244504 -0.001511118 2.824234e-05 -0.0001315426 0.0000445859
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.046887462 0.082624678 3.571344e-02 -0.004860131 -1.803348e-02
  > 5 0.005778696 0.136186509 9.488304e-02 -0.081270807 -9.614347e-02
  > 10 -0.004931153 0.001376746 -3.618484e-05 0.001038626 -2.480987e-05
  2622,2632c2622,2632
  < 1 -0.0068724138 0.0622719553 0.34511901 -0.252948000 2.723144e-02
  < 5 -0.0132311873 -0.0088770386 0.15927808 -0.065379945 2.793696e-02
  < 10 0.0004647784 0.0003527605 0.00986425 -0.001545393 2.066051e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0153100473 -0.0309243469 -0.13831729 0.064363032 -0.0297696587
  < 5 0.0025995520 -0.0222305977 -0.01102976 0.078508345 0.0046389778
  < 10 -0.0006340276 -0.0008706476 -0.02610046 0.003172624 -0.0002449976
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.019805128 0.026973318 0.139200424 -0.028043726 0.037003526
  < 5 0.002736846 0.048464229 0.009026685 -0.119027021 -0.002449676
  < 10 -0.001824737 0.001070403 0.013999814 -0.002191952 0.000314415
  ---
  > 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 -0.0007987828 0.0401397380 -0.252948000 0.70425495 -3.987297e-02 0.02586125
  < 5 -0.0151197907 0.0847896418 -0.065379945 0.33863819 -5.843145e-02 -0.01508614
  < 10 0.0059944004 0.0002012175 -0.001545393 0.03302969 -2.290837e-05 -0.01350176
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 -0.0185295482 0.055601924 -0.21565396 0.0309204728 -0.023511644
  < 5 0.0215960889 -0.001706760 -0.10069242 -0.0115061316 -0.009700694
  < 10 -0.0002414271 0.005672561 -0.03199427 0.0002680567 -0.014378973
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.011814451 -0.048330103 0.07342136 -3.130129e-02
  < 5 -0.037528139 0.001847905 0.17893565 -4.707331e-03
  < 10 0.000716494 -0.003261319 0.02671054 -7.182186e-05
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 1 -0.0007987828 0.040139738 -2.529480e-01 0.70425495 -0.039872968
  > 5 -0.0343232969 -0.201184137 -7.595576e-01 0.84867619 0.128251461
  > 10 0.0276848048 0.000641001 -1.692167e-06 0.03302969 0.000348983
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.025834333 -0.018554457 5.560032e-02 -0.21567935 0.0309267772
  > 5 -0.001308162 0.096229131 4.058140e-01 -0.23189515 -0.0999043314
  > 10 -0.098731990 -0.001783813 5.963541e-05 -0.03199371 0.0002902911
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.023572103 0.011652576 -4.832578e-02 0.07324458 -3.130000e-02
  > 5 0.002810562 -0.113738960 -2.475329e-01 0.31592859 9.559923e-02
  > 10 -0.037085369 0.001745332 5.264608e-05 0.02670972 -7.857276e-05
  2652,2662c2652,2662
  < 1 -1.603986e-02 -1.099614e-02 2.723144e-02 -3.987297e-02 0.126154409
  < 5 1.275610e-02 -9.812528e-02 2.793696e-02 -5.843145e-02 0.325145495
  < 10 2.177435e-07 5.187389e-07 2.066051e-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 -0.0390107199 -5.741472e-03 2.550018e-03 0.0183540012 0.0168538620
  < 5 -0.0026130548 -6.781047e-02 -1.282328e-03 0.1197107698 0.0235597445
  < 10 -0.0001207531 -2.319847e-05 -1.000931e-05 -0.0001062518 0.0007674813
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0531902888 0.0101336659 -6.948255e-03 -0.0097342587 -0.166607087
  < 5 -0.0006144209 0.1297586372 3.213560e-03 -0.1670298604 -0.084671592
  < 10 -0.0002904698 0.0000229828 -5.767907e-05 -0.0001426803 -0.001150905
  ---
  > 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 -0.13863090 0.038851733 0.0153100473 0.02586125 -0.0390107199 0.29140992
  < 5 -0.03585263 0.002784063 0.0025995520 -0.01508614 -0.0026130548 0.01454946
  < 10 -0.09475977 -0.001275246 -0.0006340276 -0.01350176 -0.0001207531 0.09984793
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 0.006412519 -0.0144789165 0.005691930 0.0147058119 -0.056422192
  < 5 -0.007734273 -0.0001194363 -0.012120512 0.0048813875 0.009160084
  < 10 0.001006927 -0.0003665709 0.002629808 -0.0002283586 0.086411414
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.049635081 0.0040974637 -0.04819521 0.0871634697
  < 5 0.010460455 -0.0001808045 0.01414143 -0.0068290672
  < 10 -0.005158964 -0.0043731371 -0.01948941 -0.0004511745
  ---
  > 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 -0.0535759655 -0.09440803 -0.0309243469 -0.0185295482 -5.741472e-03
  < 5 0.0200954686 0.09608220 -0.0222305977 0.0215960889 -6.781047e-02
  < 10 -0.0009064958 -0.00115861 -0.0008706476 -0.0002414271 -2.319847e-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 0.006412519 0.1110380 0.027573617 0.019904695 -2.593523e-02 0.007227362
  < 5 -0.007734273 0.2361960 0.002121656 -0.018450409 -1.155702e-01 -0.002337114
  < 10 0.001006927 0.0025231 0.002382305 0.000242976 -1.640384e-05 0.002232363
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.114284847 -0.035454439 -0.0104536781 3.420341e-02
  < 5 -0.299120385 -0.002643505 0.0403360471 1.759455e-01
  < 10 -0.002941835 -0.001335017 -0.0002218166 3.033575e-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 -0.0172886890 -0.0294231323 -0.13831729 0.055601924 2.550018e-03
  < 5 0.0013159291 -0.0001629458 -0.01102976 -0.001706760 -1.282328e-03
  < 10 -0.0003100021 -0.0008819298 -0.02610046 0.005672561 -1.000931e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0144789165 0.027573617 0.0938335859 -0.009787098 0.0221621606
  < 5 -0.0001194363 0.002121656 0.0009774577 -0.004030006 -0.0002047739
  < 10 -0.0003665709 0.002382305 0.0740158710 -0.010534931 0.0006942784
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0157586040 -0.024671146 -0.0945848054 0.006487786 -0.0416886522
  < 5 -0.0001633856 -0.003626700 -0.0008035905 0.006337225 0.0001760328
  < 10 0.0029181663 -0.002609048 -0.0363741764 0.006961097 -0.0008021938
  ---
  > 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 -0.077526169 -6.366598e-03 0.064363032 -0.21565396 0.0183540012
  < 5 0.025871054 -7.411437e-02 0.078508345 -0.10069242 0.1197107698
  < 10 0.005052671 -8.034912e-05 0.003172624 -0.03199427 -0.0001062518
  < 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 0.005691930 0.019904695 -0.009787098 0.13863080 -0.0219804624 0.001181633
  < 5 -0.012120512 -0.018450409 -0.004030006 0.34004004 -0.0242781922 -0.003356078
  < 10 0.002629808 0.000242976 -0.010534931 0.04729334 -0.0003053079 0.010637038
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0171950235 0.004444053 -0.06993102 0.0059517114
  < 5 0.0494260743 0.004394481 -0.40657993 0.0376556299
  < 10 -0.0001827761 0.005775655 -0.01834597 0.0002163968
  ---
  > 1 -0.077463779 -0.0063543095 6.436849e-02 -0.21567935 0.0183796255
  > 5 0.006034385 0.0880736080 2.431613e-01 -0.23189515 -0.0418929613
  > 10 0.009016088 -0.0001315426 -2.370779e-05 -0.03199371 -0.0001547646
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.005676343 0.0198493668 -0.0097900046 0.13863777 -0.021925681
  > 5 0.001459373 -0.0346414842 -0.1862739267 0.16776840 -0.012090000
  > 10 0.008207656 0.0006695315 0.0000730175 0.04729278 -0.000251663
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 1.348371e-03 -0.0170289293 4.450320e-03 -0.06986015 5.933270e-03
  > 5 -1.498301e-04 0.0459480651 1.176118e-01 -0.20160233 1.566837e-02
  > 10 1.743981e-05 -0.0001754057 3.780718e-05 -0.01834393 4.358289e-05
  2727,2737c2727,2737
  < 1 1.774639e-02 1.652178e-02 -0.0297696587 0.0309204728 0.0168538620
  < 5 -1.007107e-02 -3.845609e-02 0.0046389778 -0.0115061316 0.0235597445
  < 10 3.214952e-05 1.930714e-05 -0.0002449976 0.0002680567 0.0007674813
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0147058119 -2.593523e-02 0.0221621606 -0.0219804624 0.0999798442
  < 5 0.0048813875 -1.155702e-01 -0.0002047739 -0.0242781922 0.1935735800
  < 10 -0.0002283586 -1.640384e-05 0.0006942784 -0.0003053079 0.0005144022
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0211688533 2.375613e-02 -0.0192287717 0.0131058779 -0.0263440936
  < 5 0.0005970742 1.544040e-01 0.0008073991 0.0143709928 -0.1214242991
  < 10 -0.0002040880 6.417151e-05 -0.0004550198 0.0002686872 -0.0006551913
  ---
  > 1 0.017755896 0.0165336330 -2.976886e-02 0.0309267772 0.016845827
  > 5 -0.025143743 0.0673953794 1.537527e-01 -0.0999043314 0.027979933
  > 10 0.001010435 0.0000445859 -4.914330e-06 0.0002902911 0.001177401
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.014726896 -0.0258877336 2.215898e-02 -0.021925681 0.099985204
  > 5 0.005621947 -0.1064820452 1.375938e-02 -0.012090000 0.406244805
  > 10 -0.001797275 -0.0001309747 3.373514e-05 -0.000251663 0.000522792
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0211510430 0.023822695 -1.922230e-02 0.0131754912 -0.0263270099
  > 5 0.0057386372 0.171920806 -5.479074e-02 0.0280992358 -0.5078625252
  > 10 -0.0006727572 0.000128403 -5.147695e-05 0.0002026528 -0.0008001017
  2742,2752c2742,2752
  < 1 0.04493276 -0.046882017 -0.019805128 -0.023511644 0.0531902888
  < 5 -0.02244727 0.003674265 0.002736846 -0.009700694 -0.0006144209
  < 10 -0.08081413 -0.001543650 -0.001824737 -0.014378973 -0.0002904698
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.056422192 0.007227362 0.0157586040 0.001181633 -0.0211688533
  < 5 0.009160084 -0.002337114 -0.0001633856 -0.003356078 0.0005970742
  < 10 0.086411414 0.002232363 0.0029181663 0.010637038 -0.0002040880
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.260147705 -0.0035882307 -2.702847e-02 -0.014677092 -0.1122805849
  < 5 0.006112306 0.0006655861 -5.705108e-05 0.005302429 -0.0003552382
  < 10 0.087718593 -0.0051687409 -5.917922e-03 -0.014391817 -0.0003089127
  ---
  > 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 0.063714416 0.082623117 0.026973318 0.011814451 0.0101336659 -0.049635081
  < 5 -0.051336674 -0.152732326 0.048464229 -0.037528139 0.1297586372 0.010460455
  < 10 0.004809795 0.001684522 0.001070403 0.000716494 0.0000229828 -0.005158964
  ---
  > 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 -0.114284847 -0.024671146 -0.0171950235 2.375613e-02 -0.0035882307
  < 5 -0.299120385 -0.003626700 0.0494260743 1.544040e-01 0.0006655861
  < 10 -0.002941835 -0.002609048 -0.0001827761 6.417151e-05 -0.0051687409
  ---
  > 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 0.146443798 0.039287880 0.012842371 -4.733508e-02
  < 5 0.885247181 0.004835107 -0.068430964 -4.492867e-01
  < 10 0.005009927 0.001967371 0.001096679 4.537434e-05
  ---
  > 1 0.146460422 3.927633e-02 0.012923231 -4.737794e-02
  > 5 0.689742088 1.161851e-01 -0.025223562 -3.685764e-01
  > 10 0.003821908 -9.786501e-05 0.003088707 -7.157427e-05
  2772,2782c2772,2782
  < 1 0.0322059509 0.0357147077 0.139200424 -0.048330103 -6.948255e-03
  < 5 -0.0005945634 -0.0011816124 0.009026685 0.001847905 3.213560e-03
  < 10 0.0046428069 0.0006369588 0.013999814 -0.003261319 -5.767907e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0040974637 -0.035454439 -0.0945848054 0.004444053 -0.0192287717
  < 5 -0.0001808045 -0.002643505 -0.0008035905 0.004394481 0.0008073991
  < 10 -0.0043731371 -0.001335017 -0.0363741764 0.005775655 -0.0004550198
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -2.702847e-02 0.039287880 0.1139661757 -0.004085922 0.0551289434
  < 5 -5.705108e-05 0.004835107 0.0007114473 -0.006282092 -0.0008422435
  < 10 -5.917922e-03 0.001967371 0.0226135917 -0.004019056 0.0005850869
  ---
  > 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 0.06784511 -0.0048630020 -0.028043726 0.07342136 -0.0097342587 -0.04819521
  < 5 -0.03684373 0.1033788983 -0.119027021 0.17893565 -0.1670298604 0.01414143
  < 10 0.01804501 0.0002901469 -0.002191952 0.02671054 -0.0001426803 -0.01948941
  ---
  > 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 -0.0104536781 0.006487786 -0.06993102 0.0131058779 -0.014677092 0.012842371
  < 5 0.0403360471 0.006337225 -0.40657993 0.0143709928 0.005302429 -0.068430964
  < 10 -0.0002218166 0.006961097 -0.01834597 0.0002686872 -0.014391817 0.001096679
  ---
  > 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 -0.004085922 0.07336736 -0.0042578619
  < 5 -0.006282092 0.67710303 -0.0598617844
  < 10 -0.004019056 0.03370953 -0.0000808561
  ---
  > 1 -4.080492e-03 0.07334693 -4.272089e-03
  > 5 -1.400659e-01 0.35753616 -6.182832e-02
  > 10 8.433088e-06 0.03371085 -1.482161e-05
  2802,2812c2802,2812
  < 1 0.0401540436 -1.803881e-02 0.037003526 -3.130129e-02 -0.166607087
  < 5 0.0245291349 7.081089e-02 -0.002449676 -4.707331e-03 -0.084671592
  < 10 0.0006207134 -7.890441e-06 0.000314415 -7.182186e-05 -0.001150905
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0871634697 3.420341e-02 -0.0416886522 0.0059517114 -0.0263440936
  < 5 -0.0068290672 1.759455e-01 0.0001760328 0.0376556299 -0.1214242991
  < 10 -0.0004511745 3.033575e-05 -0.0008021938 0.0002163968 -0.0006551913
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1122805849 -4.733508e-02 0.0551289434 -0.0042578619 0.472237675
  < 5 -0.0003552382 -4.492867e-01 -0.0008422435 -0.0598617844 0.493220162
  < 10 -0.0003089127 4.537434e-05 0.0005850869 -0.0000808561 0.001037601
  ---
  > 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
  2817,2819c2817,2819
  < d_y2_d_x1 -0.0172183652 0.195025575 0.062271955 0.0401397380 -0.010996137
  < d_y3_d_x1 -0.0068724138 0.062271955 0.345119008 -0.2529480003 0.027231435
  < d_y4_d_x1 -0.0007987828 0.040139738 -0.252948000 0.7042549522 -0.039872968
  ---
  > 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
  2821,2862c2821,2862
  < d_y1_d_x2 -0.1386309041 0.038851733 0.015310047 0.0258612525 -0.039010720
  < d_y2_d_x2 -0.0535759655 -0.094408028 -0.030924347 -0.0185295482 -0.005741472
  < d_y3_d_x2 -0.0172886890 -0.029423132 -0.138317292 0.0556019240 0.002550018
  < d_y4_d_x2 -0.0775261686 -0.006366598 0.064363032 -0.2156539561 0.018354001
  < d_y5_d_x2 0.0177463909 0.016521784 -0.029769659 0.0309204728 0.016853862
  < d_y1_d_x3 0.0449327627 -0.046882017 -0.019805128 -0.0235116443 0.053190289
  < d_y2_d_x3 0.0637144165 0.082623117 0.026973318 0.0118144506 0.010133666
  < d_y3_d_x3 0.0322059509 0.035714708 0.139200424 -0.0483301029 -0.006948255
  < d_y4_d_x3 0.0678451094 -0.004863002 -0.028043726 0.0734213557 -0.009734259
  < d_y5_d_x3 0.0401540436 -0.018038807 0.037003526 -0.0313012885 -0.166607087
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < d_y1_d_x1 -0.138630904 -0.053575966 -0.017288689 -0.077526169 0.01774639
  < d_y2_d_x1 0.038851733 -0.094408028 -0.029423132 -0.006366598 0.01652178
  < d_y3_d_x1 0.015310047 -0.030924347 -0.138317292 0.064363032 -0.02976966
  < d_y4_d_x1 0.025861253 -0.018529548 0.055601924 -0.215653956 0.03092047
  < d_y5_d_x1 -0.039010720 -0.005741472 0.002550018 0.018354001 0.01685386
  < d_y1_d_x2 0.291409924 0.006412519 -0.014478917 0.005691930 0.01470581
  < d_y2_d_x2 0.006412519 0.111038027 0.027573617 0.019904695 -0.02593523
  < d_y3_d_x2 -0.014478917 0.027573617 0.093833586 -0.009787098 0.02216216
  < d_y4_d_x2 0.005691930 0.019904695 -0.009787098 0.138630800 -0.02198046
  < d_y5_d_x2 0.014705812 -0.025935230 0.022162161 -0.021980462 0.09997984
  < d_y1_d_x3 -0.056422192 0.007227362 0.015758604 0.001181633 -0.02116885
  < d_y2_d_x3 -0.049635081 -0.114284847 -0.024671146 -0.017195024 0.02375613
  < d_y3_d_x3 0.004097464 -0.035454439 -0.094584805 0.004444053 -0.01922877
  < d_y4_d_x3 -0.048195207 -0.010453678 0.006487786 -0.069931021 0.01310588
  < d_y5_d_x3 0.087163470 0.034203407 -0.041688652 0.005951711 -0.02634409
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < d_y1_d_x1 0.044932763 0.063714416 0.032205951 0.067845109 0.040154044
  < d_y2_d_x1 -0.046882017 0.082623117 0.035714708 -0.004863002 -0.018038807
  < d_y3_d_x1 -0.019805128 0.026973318 0.139200424 -0.028043726 0.037003526
  < d_y4_d_x1 -0.023511644 0.011814451 -0.048330103 0.073421356 -0.031301289
  < d_y5_d_x1 0.053190289 0.010133666 -0.006948255 -0.009734259 -0.166607087
  < d_y1_d_x2 -0.056422192 -0.049635081 0.004097464 -0.048195207 0.087163470
  < d_y2_d_x2 0.007227362 -0.114284847 -0.035454439 -0.010453678 0.034203407
  < d_y3_d_x2 0.015758604 -0.024671146 -0.094584805 0.006487786 -0.041688652
  < d_y4_d_x2 0.001181633 -0.017195024 0.004444053 -0.069931021 0.005951711
  < d_y5_d_x2 -0.021168853 0.023756135 -0.019228772 0.013105878 -0.026344094
  < d_y1_d_x3 0.260147705 -0.003588231 -0.027028474 -0.014677092 -0.112280585
  < d_y2_d_x3 -0.003588231 0.146443798 0.039287880 0.012842371 -0.047335078
  < d_y3_d_x3 -0.027028474 0.039287880 0.113966176 -0.004085922 0.055128943
  < d_y4_d_x3 -0.014677092 0.012842371 -0.004085922 0.073367357 -0.004257862
  < d_y5_d_x3 -0.112280585 -0.047335078 0.055128943 -0.004257862 0.472237675
  ---
  > d_y1_d_x2 -0.1386113747 0.038857208 0.015328043 0.0258343328 -0.038997769
  > d_y2_d_x2 -0.0535285664 -0.094400097 -0.030915675 -0.0185544571 -0.005743523
  > d_y3_d_x2 -0.0172877430 -0.029423192 -0.138318077 0.0556003204 0.002547593
  > d_y4_d_x2 -0.0774637790 -0.006354309 0.064368492 -0.2156793527 0.018379626
  > d_y5_d_x2 0.0177558959 0.016533633 -0.029768864 0.0309267772 0.016845827
  > d_y1_d_x3 0.0449387301 -0.046887462 -0.019807287 -0.0235721031 0.053208623
  > d_y2_d_x3 0.0637250250 0.082624678 0.027012089 0.0116525757 0.010188850
  > d_y3_d_x3 0.0322048225 0.035713438 0.139200296 -0.0483257794 -0.006945174
  > d_y4_d_x3 0.0678642931 -0.004860131 -0.028004035 0.0732445811 -0.009689508
  > d_y5_d_x3 0.0401644605 -0.018033481 0.037005924 -0.0312999965 -0.166602820
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > d_y1_d_x1 -0.138611375 -0.053528566 -0.017287743 -0.077463779 0.01775590
  > d_y2_d_x1 0.038857208 -0.094400097 -0.029423192 -0.006354309 0.01653363
  > d_y3_d_x1 0.015328043 -0.030915675 -0.138318077 0.064368492 -0.02976886
  > d_y4_d_x1 0.025834333 -0.018554457 0.055600320 -0.215679353 0.03092678
  > d_y5_d_x1 -0.038997769 -0.005743523 0.002547593 0.018379626 0.01684583
  > d_y1_d_x2 0.291422688 0.006458320 -0.014486182 0.005676343 0.01472690
  > d_y2_d_x2 0.006458320 0.110997148 0.027563642 0.019849367 -0.02588773
  > d_y3_d_x2 -0.014486182 0.027563642 0.093834214 -0.009790005 0.02215898
  > d_y4_d_x2 0.005676343 0.019849367 -0.009790005 0.138637769 -0.02192568
  > d_y5_d_x2 0.014726896 -0.025887734 0.022158979 -0.021925681 0.09998520
  > d_y1_d_x3 -0.056390926 0.007305875 0.015776669 0.001348371 -0.02115104
  > d_y2_d_x3 -0.049712244 -0.114276988 -0.024659675 -0.017028929 0.02382270
  > d_y3_d_x3 0.004112293 -0.035441875 -0.094585986 0.004450320 -0.01922230
  > d_y4_d_x3 -0.048281415 -0.010525566 0.006488827 -0.069860149 0.01317549
  > d_y5_d_x3 0.087142901 0.034271480 -0.041686361 0.005933270 -0.02632701
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > d_y1_d_x1 0.044938730 0.063725025 0.032204823 0.067864293 0.040164460
  > d_y2_d_x1 -0.046887462 0.082624678 0.035713438 -0.004860131 -0.018033481
  > d_y3_d_x1 -0.019807287 0.027012089 0.139200296 -0.028004035 0.037005924
  > d_y4_d_x1 -0.023572103 0.011652576 -0.048325779 0.073244581 -0.031299996
  > d_y5_d_x1 0.053208623 0.010188850 -0.006945174 -0.009689508 -0.166602820
  > d_y1_d_x2 -0.056390926 -0.049712244 0.004112293 -0.048281415 0.087142901
  > d_y2_d_x2 0.007305875 -0.114276988 -0.035441875 -0.010525566 0.034271480
  > d_y3_d_x2 0.015776669 -0.024659675 -0.094585986 0.006488827 -0.041686361
  > d_y4_d_x2 0.001348371 -0.017028929 0.004450320 -0.069860149 0.005933270
  > d_y5_d_x2 -0.021151043 0.023822695 -0.019222304 0.013175491 -0.026327010
  > d_y1_d_x3 0.260104019 -0.003631698 -0.027039012 -0.014723423 -0.112285235
  > d_y2_d_x3 -0.003631698 0.146460422 0.039276335 0.012923231 -0.047377939
  > d_y3_d_x3 -0.027039012 0.039276335 0.113966702 -0.004080492 0.055128200
  > d_y4_d_x3 -0.014723423 0.012923231 -0.004080492 0.073346928 -0.004272089
  > d_y5_d_x3 -0.112285235 -0.047377939 0.055128200 -0.004272089 0.472211684
  2867,2869c2867,2869
  < 1 -0.2316491 -0.033140140 -0.004011498 -0.06214431 0.0018383031 -0.01675327
  < 5 -0.1862993 0.044064595 0.006454222 0.06914671 -0.0114836183 0.03661516
  < 10 0.1892359 0.002212844 0.001461047 0.01477834 0.0001456506 -0.16745702
  ---
  > 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 0.055822014 0.0271848516 0.063071770 -0.0084848795 0.06247225
  < 5 -0.008371082 -0.0007771561 -0.041971981 0.0032973624 0.02293721
  < 10 -0.002502946 -0.0014321877 0.001254552 -0.0003552714 -0.19562615
  ---
  > 1 0.055933036 0.0271886680 0.063182792 -8.484879e-03 0.06238343
  > 5 -0.031905034 -0.0150213175 -0.001852685 2.908784e-03 0.01036948
  > 10 -0.006879653 0.0002442491 0.001245531 3.330669e-05 -0.30969671
  2875,2877c2875,2877
  < 1 -0.058486549 -0.0433729441 -0.03730349 0.007821521
  < 5 -0.001920686 -0.0006217249 -0.01450506 0.001698641
  < 10 0.010458301 0.0102473585 0.03934977 0.001298961
  ---
  > 1 -0.058664185 -0.043379883 -0.0374811293 0.007821521
  > 5 -0.001396105 -0.004829470 -0.0004107825 0.001487699
  > 10 0.006962183 0.001332268 0.0393553246 0.000721645
  2882,2884c2882,2884
  < 1 0.201546991 -0.0611282747 -0.0181665232 -0.100909653 0.0054097379 0.00000000
  < 5 0.008047971 -0.0016266396 -0.0002528794 -0.014698144 0.0006733222 0.03661516
  < 10 0.269941736 -0.0006627176 -0.0007103860 -0.001967969 0.0001509005 0.00000000
  ---
  > 1 0.201546991 -6.112827e-02 -1.816652e-02 -0.100909653 0.0054097379 0.00000000
  > 5 0.003769362 -9.991672e-03 -3.235336e-03 -0.000354810 0.0006657360 0.01616485
  > 10 0.373667957 -2.496226e-05 -3.619638e-05 -0.001967969 0.0004485681 0.00000000
  2886,2888c2886,2888
  < 1 0.000000000 0.0000000000 0.00000000 0.000000000 0.00000000 0.000000000
  < 5 -0.008371082 -0.0007771561 -0.04200806 0.003297362 0.02293721 -0.001920686
  < 10 0.000000000 0.0000000000 0.00000000 0.000000000 0.00000000 0.000000000
  ---
  > 1 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
  > 5 -0.03190503 -0.01502132 -0.001852685 0.002908784 0.01036948 -0.001396105
  > 10 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
  2890,2892c2890,2892
  < 1 0.0000000000 0.00000000 0.000000000
  < 5 -0.0006217249 -0.01448286 0.001698641
  < 10 0.0000000000 0.00000000 0.000000000
  ---
  > 1 0.00000000 0.0000000000 0.000000000
  > 5 -0.00482947 -0.0004107825 0.001487699
  > 10 0.00000000 0.0000000000 0.000000000
  2896,2907c2896,2907
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
  < 1 -0.28355741 -0.040566243 -0.0049104019 -0.076069725 2.250233e-03 0.4131454
  < 5 0.10355283 -0.024492915 -0.0035875213 -0.038434583 6.383068e-03 -0.0132128
  < 10 -0.08946912 -0.001046214 -0.0006907697 -0.006987072 -6.886181e-05 0.1598945
  < 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 0.042011427 0.019128767 0.038672718 -0.006781395 0.07629453 -0.071886941
  < 5 0.002825355 -0.002129157 0.008294575 -0.001091933 -0.01225686 0.001648681
  < 10 -0.001698638 -0.001150028 -0.017383993 -0.000971746 0.09250517 -0.004930778
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.053118968 -0.047284399 0.0098199227
  < 5 0.001187939 0.008154588 -0.0007660539
  < 10 -0.004563017 -0.018570562 0.0000000000
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 1 -0.28355741 -0.04056624 -4.910402e-03 -0.076069725 0.0022502335
  > 5 0.03924712 -0.03485848 -1.615104e-02 -0.009414693 0.0049472810
  > 10 -0.02035225 -0.00105694 -2.857936e-06 -0.006987072 -0.0001801612
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.413145431 0.0420669382 0.019133625 0.0386727179 -0.0068091506
  > 5 -0.003524803 0.0079217759 0.007067534 0.0007193308 -0.0008108608
  > 10 0.502677777 0.0009904211 -0.001063646 -0.0173791363 0.0003450649
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.076294526 -0.0719757587 -0.0531050898 -0.047284399 0.0097810648
  > 5 -0.009492407 0.0004496403 -0.0007549517 0.000106859 -0.0006439294
  > 10 0.146282986 -0.0032909873 -0.0005995204 -0.018578195 0.0007660539
  2912,2914c2912,2914
  < 1 0.2473604 0.035387828 0.004283573 0.06635917 -0.0019629838 0.01793010
  < 5 0.1164444 -0.027542102 -0.004034141 -0.04321941 0.0071777126 -0.02363665
  < 10 0.2372668 0.002774497 0.001831882 0.01852930 0.0001826184 -0.20998134
  ---
  > 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 -0.058919536 -2.903754e-02 -0.066691097 0.0090233376 0.366560473
  < 5 0.005107026 -5.551115e-05 0.025976443 -0.0022981617 -0.006751303
  < 10 -0.003142972 -1.365574e-03 0.001628558 0.0002220446 -0.164604222
  ---
  > 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 0.0341621499 0.032203725 0.002113073 -0.0048523824
  < 5 -0.0002610651 -0.001973726 -0.005585989 -0.0001038343
  < 10 0.0102236824 0.010496212 0.032669718 0.0013264155
  ---
  > 1 0.033984514 0.0322134397 0.0019354377 -4.852382e-03
  > 5 -0.009039656 -0.0004597785 -0.0002132566 7.731771e-05
  > 10 0.006469654 0.0005128707 0.0326641666 1.277652e-03
  2927,2937c2927,2937
  < 1 0.005905710 0.15112666 0.038148543 0.0133838793 -0.0080595407
  < 5 0.049460137 -0.07512963 -0.028541702 -0.0039733689 0.0066974775
  < 10 0.001477843 -0.01404540 -0.002545144 -0.0005325707 0.0001883848
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.074540374 -0.15319968 -0.026145752 -0.009847678 0.0295180547
  < 5 -0.007505108 0.17601476 0.001365574 0.009880985 -0.0577426995
  < 10 0.002070566 0.02890622 0.006850076 0.001198347 -0.0001110223
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0849875725 0.12613244 0.027959232 0.005506706 -0.029412583
  < 5 0.0006217249 -0.32590597 -0.002053913 -0.005764833 0.104172226
  < 10 0.0176067494 -0.04135121 -0.007482903 -0.001922074 0.001287859
  ---
  > 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 -0.053801742 0.223865689 4.695843e-02 1.641607e-02 -0.0190050540
  < 5 -0.001111762 0.354249378 7.960543e-05 9.213415e-03 -0.0689671862
  < 10 -0.003091967 0.002323759 1.157197e-05 4.313022e-06 -0.0001426121
  ---
  > 1 -0.0538017415 2.238657e-01 4.695843e-02 1.641607e-02 -1.900505e-02
  > 5 -0.0018977104 2.250049e-01 3.344142e-02 1.072206e-02 -9.541636e-02
  > 10 -0.0008749482 4.567328e-05 7.288836e-06 4.313022e-06 4.380274e-06
  2946,2948c2946,2948
  < 1 0.000000000 0.0000000 0.000000000 0.000000000 0.0000000 0.0000000000
  < 5 -0.007505108 0.1759815 0.001432188 0.009880985 -0.0577427 0.0006217249
  < 10 0.000000000 0.0000000 0.000000000 0.000000000 0.0000000 0.0000000000
  ---
  > 1 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
  > 5 -0.008504308 0.225997 0.07611689 -3.053113e-05 -0.06405987 -0.008093526
  > 10 0.000000000 0.000000 0.00000000 0.000000e+00 0.00000000 0.000000000
  2950,2952c2950,2952
  < 1 0.0000000 0.000000000 0.000000000 0.0000000
  < 5 -0.3258394 -0.002187139 -0.005764833 0.1041722
  < 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 0.0072290720 0.184991393 0.046696937 0.0163829637 -9.865537e-03
  < 5 -0.0274919780 0.041760137 0.015864653 0.0022085618 -3.722733e-03
  < 10 -0.0006987117 0.006640544 0.001203322 0.0002517949 -8.906653e-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 -2.326099e-02 -9.724268e-03 0.0251506127
  < 5 0.002407644 0.25656641 -5.362166e-05 3.520747e-03 -0.0373480346
  < 10 -0.005545419 0.00269971 -6.407259e-04 -7.096335e-05 0.0004572613
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.1042943509 0.15383250 0.0343024220 0.006716849 -0.0361211061
  < 5 -0.0001776357 0.18112734 -0.0002775558 0.003039236 -0.0579314374
  < 10 -0.0082996110 0.01954452 0.0046518345 0.001006140 0.0005884182
  ---
  > 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 -0.0142916236 0.0086061686
  < 5 -0.030914528 0.04695897 0.017839685 0.0024835116 -0.0041861866
  < 10 0.001852942 -0.01761033 -0.003191139 -0.0006677451 0.0002362005
  < 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 -0.078226314 0.16501245 0.027983171 0.012778667 -0.0320299343 0.030020773
  < 5 0.002498002 -0.11006751 -0.001743050 -0.006364353 0.0357713859 0.001297421
  < 10 0.002593759 0.03625034 0.008881784 0.001494638 -0.0007882583 0.017529179
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.06293022 -0.021020074 -0.004872594 0.020820743
  < 5 0.55816959 0.002155722 0.013035358 -0.133027055
  < 10 -0.03546698 -0.008190242 -0.001952097 0.001689609
  ---
  > 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 -0.0021194286 0.040008174 0.22756421 -0.078470237 0.0153747157
  < 5 0.0084265603 -0.057051548 -0.13374136 0.135148228 -0.0231752361
  < 10 0.0007301026 -0.001644378 -0.05889389 0.003468366 -0.0001924686
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 2.711165e-02 -0.032684966 -0.168416669 0.01051381 -0.029029557
  < 5 1.443290e-04 0.007271961 0.004463097 -0.08791856 0.001032507
  < 10 -8.951173e-05 0.004919242 0.169142478 -0.01379452 0.002520206
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0281219492 0.031552538 0.16603836 -0.007083223 0.032052139
  < 5 -0.0008548717 -0.005961898 -0.00432987 0.079247719 -0.001354472
  < 10 0.0083294482 -0.006251510 -0.11459722 0.010395851 -0.002198242
  ---
  > 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 0.0504285815 0.2984391653 -8.143947e-02 2.536810e-02
  < 5 1.506395e-05 0.0009823548 0.0005630313 -2.660125e-02 1.415728e-04
  < 10 -1.210393e-03 0.0001269101 0.0089098832 -1.614254e-05 -2.442047e-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 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.0000000000
  < 5 0.000144329 0.007271961 0.004463097 -0.08791856 0.001032507 -0.0008548717
  < 10 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.0000000000
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.000000000 0.00000000 0.00000000 0.000000000
  < 5 -0.005961898 -0.00432987 0.07924772 -0.001354472
  < 10 0.000000000 0.00000000 0.00000000 0.000000000
  ---
  > 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 -0.0025943541 0.048973278 0.27855720 -0.096053990 1.881991e-02 0.0205516295
  < 5 -0.0046838288 0.031711597 0.07433895 -0.075120944 1.288175e-02 -0.0002735936
  < 10 -0.0003451862 0.000777448 0.02784452 -0.001639813 9.099754e-05 -0.0019398018
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  < 1 -0.0284040921 -0.135294152 0.008921257 -0.0256614265 -0.035638159
  < 5 -0.0032475948 -0.002501184 0.022326275 -0.0007910145 -0.001798561
  < 10 -0.0005552359 -0.011688197 0.003069971 -0.0007867435 -0.003903128
  < d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.038247183 0.2031971813 -0.007882583 0.0390187882
  < 5 0.003552714 -0.0001554312 -0.044658721 -0.0008992806
  < 10 0.002944780 0.0548339152 -0.004881512 0.0018096635
  ---
  > 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 0.0022631760 -0.042721676 -0.24299846 0.083792380 -0.0164174858
  < 5 -0.0052669301 0.035659458 0.08359360 -0.084472949 0.0144854330
  < 10 0.0009154136 -0.002061746 -0.07384204 0.004348689 -0.0002413206
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -2.897682e-02 0.034261483 0.179847803 -0.01003642 0.031025182
  < 5 -1.887379e-04 -0.004629630 -0.004318768 0.05461187 -0.001398881
  < 10 -5.759282e-05 0.006153758 0.210509388 -0.01733266 0.001010303
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.017820481 -0.021054415 -0.106372149 0.003880845 -0.0241043387
  < 5 -0.001783497 0.004751562 0.001573334 -0.076336470 -0.0001359828
  < 10 0.008420661 -0.006051360 -0.073849584 0.009628614 -0.0019635797
  ---
  > 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 0.06411538
  < 5 0.063242469 0.016668253 0.071275445 -0.1751393 9.014262e-03 -0.01624256
  < 10 0.006751437 -0.000363007 0.003342811 -0.1063726 -8.838674e-05 0.01976960
  < 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 -0.0081601392 0.013616538 -0.1878275 0.011959878 -0.046185278 0.005517808
  < 5 0.0091537888 -0.002842171 0.2276040 -0.008570922 -0.009536816 -0.013317125
  < 10 0.0007052518 -0.014810375 0.1293451 -0.001632028 0.041203846 -0.001365748
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.009914639 0.07662759 -0.009148238
  < 5 0.002042810 -0.25337510 0.010369483
  < 10 0.011568524 -0.12747858 0.001387779
  ---
  > 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 -0.070486050 8.356094e-03 -9.576907e-02 0.446815027 -0.019264665 0.00000000
  < 5 -0.003630891 2.012064e-02 -2.534076e-04 0.271230985 -0.025001836 -0.01719735
  < 10 -0.007886791 4.168080e-06 -4.987399e-05 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 0.009214851 -0.003674838 0.2274458 -0.008926193 -0.008582024 -0.01323386
  < 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 0.002997602 -0.2531864 0.01049161
  < 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 -0.0092649003 -0.039617825 0.09734963 -5.010498e-03
  < 10 -0.003192022 0.0001716266 -0.001580452 0.05029204 4.178891e-05
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.004379869 -0.0081164828 0.013832579 -0.12890261 0.0101177950
  < 5 0.003452332 0.0147082990 0.002144674 0.14482654 -0.0200724456
  < 10 -0.023993245 0.0000263887 0.003301960 0.05164443 0.0008013113
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.056399330 0.0079047879 -0.0121774119 0.09340306 -0.0113659082
  < 5 0.007482903 0.0081101792 -0.0009992007 0.14074020 -0.0057731597
  < 10 -0.019427515 0.0006415875 -0.0041078252 0.06023931 -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
  3091,3102c3091,3102
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
  < 1 -0.002888851 -0.0064103309 0.099158667 -0.3689824 0.0157145354 -0.06725731
  < 5 -0.039529027 -0.0104183123 -0.044549952 0.1094689 -0.0056342681 0.01071365
  < 10 0.008465053 -0.0004551436 0.004191265 -0.1333715 -0.0001108207 0.02479822
  < 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 0.0104249942 -0.014536289 0.2019718 -0.0126815225 -0.02368657 -0.004341725
  < 5 -0.0057120975 0.002597922 -0.1421696 0.0052513549 0.00324139 0.028747069
  < 10 0.0008860968 -0.017774671 0.1620822 -0.0003885781 0.03697535 -0.001351068
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.007678127 0.01990058 0.0054215516
  < 5 -0.001541267 0.42967091 -0.0318630142
  < 10 0.009341573 -0.04704468 -0.0003866275
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 1 -0.002888851 -0.006410331 0.0991586674 -0.3689824 0.015714535
  > 5 -0.011135686 0.006045919 -0.1071102627 0.1771743 -0.042629964
  > 10 -0.041974947 -0.001615107 -0.0000452427 -0.1333715 -0.001223848
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  > 1 -6.725731e-02 0.010313972 -0.014536289 0.2018608 -0.012681522 -0.023686569
  > 5 1.110223e-05 -0.004496403 0.034849901 -0.1160974 0.026578739 -0.000394115
  > 10 2.096018e-01 0.005030503 -0.000288658 0.1620780 -0.001787459 0.016573313
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.004164089 0.0076781274 0.02007821 0.0054215516
  > 5 0.010531503 -0.0466233102 0.35146914 -0.0466051280
  > 10 -0.003566897 -0.0006026278 -0.04703635 0.0002947739
  3107,3117c3107,3117
  < 1 -2.503908e-03 -9.035000e-03 1.449096e-02 -0.01287877 -0.10197888
  < 5 -9.413399e-03 -1.034015e-02 -1.532401e-02 0.03043189 0.06400556
  < 10 2.785036e-05 1.523494e-05 -2.407163e-05 0.00009479 0.02174656
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.693090e-02 0.0234479103 -0.0242816184 0.010069723 -0.19538815
  < 5 2.919887e-03 -0.0725530747 -0.0003885781 -0.037778114 0.10167422
  < 10 8.326673e-06 -0.0001332268 0.0007993606 -0.000369843 0.01277867
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0203170814 -0.0227928787 0.026230754 -0.0073385742 0.2850720
  < 5 -0.0004107825 0.1261157845 0.001676437 0.0405814271 -0.1663558
  < 10 -0.0001616762 0.0001910798 -0.002575717 0.0005086209 -0.0214051
  ---
  > 1 -0.0025039077 -9.035000e-03 1.449096e-02 -1.287877e-02 -0.10197888
  > 5 -0.0090320215 3.104443e-02 -9.301464e-02 6.369820e-02 0.01935906
  > 10 0.0003714917 5.685610e-06 -1.620926e-07 9.479001e-05 0.01178191
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 -0.0169309011 2.344791e-02 -0.0242725978 0.0100697228 -0.195388150
  > 5 -0.0002109424 -4.310441e-02 0.0803024314 -0.0252478594 0.294675395
  > 10 0.0003136380 -3.807718e-05 0.0005329071 -0.0003788636 0.008359979
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.0203170814 -2.279288e-02 0.026214794 -0.007338574 0.28507197
  > 5 0.0032085445 8.519019e-02 -0.051947335 0.027225444 -0.43464121
  > 10 -0.0006161738 3.892286e-05 -0.001287859 0.000514172 -0.01312284
  3121,3132c3121,3132
  < d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1 d_y1_d_x2
  < 1 7.005863e-03 -1.687957e-02 2.207828e-02 -0.0163091128 0.19275787 0.000000000
  < 5 3.962407e-04 -7.345513e-02 1.010650e-04 -0.0188677450 0.40002708 0.003341771
  < 10 4.650336e-05 -1.692349e-05 7.448508e-05 -0.0000227013 0.02778154 0.000000000
  < d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3 d_y2_d_x3
  < 1 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00 0.0000000
  < 5 -0.07262524 0.000144329 -0.03758382 0.1019296 -7.771561e-05 0.1259548
  < 10 0.00000000 0.000000000 0.00000000 0.0000000 0.000000e+00 0.0000000
  < d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.000000000 0.00000000 0.0000000
  < 5 0.001831868 0.04060641 -0.1662337
  < 10 0.000000000 0.00000000 0.0000000
  ---
  > d_y1_d_x1 d_y2_d_x1 d_y3_d_x1 d_y4_d_x1 d_y5_d_x1
  > 1 0.0070058628 -1.687957e-02 2.207828e-02 -0.0163091128 0.19275787
  > 5 0.0006537723 -6.386076e-02 3.770130e-02 -0.0187116198 0.32365526
  > 10 0.0005010927 -1.346143e-07 2.908784e-08 -0.0000227013 0.01549796
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2 d_y1_d_x3
  > 1 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.000000000
  > 5 0.0005995204 -0.04312939 0.0801248 -0.02531725 0.2951195 0.002431388
  > 10 0.0000000000 0.00000000 0.0000000 0.00000000 0.0000000 0.000000000
  > d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 0.00000000 0.00000000 0.00000000 0.0000000
  > 5 0.08528456 -0.05111467 0.02727957 -0.4349854
  > 10 0.00000000 0.00000000 0.00000000 0.0000000
  3137,3147c3137,3147
  < 1 -3.064988e-03 -1.105958e-02 1.773812e-02 -1.576467e-02 -0.12483049
  < 5 5.232354e-03 5.747480e-03 8.517718e-03 -1.691529e-02 -0.03557692
  < 10 -1.316736e-05 -7.202951e-06 1.138101e-05 -4.481589e-05 -0.01028159
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -1.127360e-02 0.0210212246 -2.209936e-02 9.159585e-03 0.0552311157
  < 5 7.293076e-04 -0.0332928163 2.564962e-04 2.240370e-03 0.3434723174
  < 10 -1.118421e-05 0.0000228323 2.084061e-05 -2.104067e-05 0.0002618215
  < 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 0.0320920374 -0.007149836 0.34879322
  < 5 -0.0004218847 -7.016054e-02 0.0007327472 -0.022318258 0.09374723
  < 10 0.0000194289 -8.647597e-05 0.0001443290 -0.000163064 0.01016964
  ---
  > 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 0.0096477882 -1.547379e-02 0.0137522548 0.10889547
  < 5 5.883744e-03 0.0064629990 9.578111e-03 -0.0190211245 -0.04000599
  < 10 3.491926e-05 0.0000191018 -3.018119e-05 0.0001188491 0.02726616
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 1.818545e-02 -0.0251354493 0.025914340 -0.0111355369 0.20852209
  < 5 -2.065015e-03 0.0449085213 -0.001354472 0.0233119080 -0.06405987
  < 10 5.134781e-05 -0.0001662732 0.001665335 -0.0005058454 0.01705303
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.0124948497 0.0172020577 -0.0204614307 0.0044411375 -0.009472682
  < 5 -0.0004031209 -0.1520755777 0.0008671183 -0.0440087456 0.504465758
  < 10 -0.0001416354 0.0002134784 -0.0021107876 0.0004972947 -0.020277305
  ---
  > 1 0.0026737325 9.647788e-03 -1.547379e-02 0.0137522548 0.10889547
  > 5 0.0056453686 -1.940399e-02 5.813780e-02 -0.0398138755 -0.01210017
  > 10 0.0004657821 7.128703e-06 -2.022826e-07 0.0001188491 0.01477233
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 1.829648e-02 -2.491340e-02 0.0259122585 -0.0109134923 0.20852209
  > 5 -1.021405e-03 2.699785e-02 -0.0506261699 0.0158664748 -0.18479662
  > 10 6.383782e-05 -4.690259e-05 -0.0003552714 -0.0004801715 0.01105782
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.0123394185 1.751292e-02 -0.0204572674 0.0047520000 -0.009472682
  > 5 0.0005205454 -1.170710e-01 0.0715075897 -0.0356786032 0.594738418
  > 10 -0.0006725351 4.101731e-05 -0.0001552404 0.0004861924 -0.012437692
  3167,3177c3167,3177
  < 1 0.072752928 0.012780185 -0.0063633132 -2.325631e-02 0.0086575823
  < 5 0.048493540 -0.028699302 -0.0092032146 -3.693625e-02 0.0095336178
  < 10 0.005519478 0.005407743 -0.0001456905 -4.108084e-05 -0.0003286384
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.154654067 -0.1648681192 -0.004298992 -0.003763656 0.0327238237
  < 5 -0.001132427 0.0006883383 0.002797762 0.008160139 -0.0012767565
  < 10 -0.003193279 -0.0023337235 0.001743050 0.001030426 0.0009547918
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0949018641 0.2820521594 0.0199833206 7.771561e-03 -0.0573124881
  < 5 0.0001998401 0.0001776357 -0.0003774758 1.276756e-04 -0.0003996803
  < 10 0.0292585400 0.0309777377 0.0007993606 8.326673e-06 0.0015654145
  ---
  > 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 -0.0272145783 0.0343705286 0.0108054843 -6.351000e-03 -0.0007693303
  < 5 -0.0429421189 0.0071002774 -0.0451396759 1.205425e-01 -0.0075880253
  < 10 -0.0008235292 0.0004761164 0.0003259361 -7.298017e-05 0.0024085024
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.0360045327 -3.775869e-02 -0.040941556 0.001287859 -0.0105915277
  < 5 -0.0010325074 -7.771561e-05 -0.000965894 -0.030331293 -0.0006994405
  < 10 0.0006945833 -1.008048e-03 -0.001254552 0.000150574 0.0027533531
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.049660276 5.750955e-02 0.120062293 -0.0026201263 0.0228012054
  < 5 0.001054712 -9.992007e-05 0.001498801 0.0050792703 0.0008548717
  < 10 -0.006750156 3.262755e-03 0.008570922 -0.0004315992 0.0015543122
  ---
  > 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 -0.0539832125 -0.033931029 0.01698314 0.004752178 -0.18151036
  < 5 -0.21889627 0.0487535608 0.033870147 -0.18063904 -0.005167326 0.09861001
  < 10 0.02865142 -0.0002409948 -0.001677683 0.02658285 -0.002167196 0.02248063
  ---
  > 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 -0.008093526 0.017621321 -0.16331381 0.0107802656 0.04454215 0.0127120536
  < 5 -0.022720714 -0.001587619 0.02253753 0.0072830630 0.06746825 -0.0086042284
  < 10 0.001355860 0.003130829 0.02816289 -0.0007993606 0.09248088 -0.0009198371
  ---
  > 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 -0.018649318 0.223077112 -0.0175442993
  < 5 -0.001365574 0.006009082 0.0017319479
  < 10 -0.005750955 0.091671809 0.0008770762
  ---
  > 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 -0.063089836 1.721129e-02 -0.0023207773 5.001046e-02 -0.053072770
  < 10 0.007113414 5.921215e-06 0.0015433300 3.572718e-05 -0.007651713
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 0.1711852882 8.881784e-05 -0.0214495088 -0.0282662782 0.0486360952
  < 5 0.0202504680 -4.918288e-03 -0.0020428104 -0.0415251167 0.0111022302
  < 10 0.0001144917 -1.994932e-06 -0.0007438494 -0.0002234324 -0.0009436896
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.254141153 -1.300071e-02 0.0381791820 0.0217714735 0.505201436
  < 5 0.006472600 -3.941292e-04 0.0015210055 0.0019123592 0.006217249
  < 10 -0.002977479 -2.194425e-05 0.0004996004 0.0003906597 0.003153033
  ---
  > 1 0.111753476 1.527046e-03 -0.0005739351 1.456956e-03 -0.19812832
  > 5 0.141830219 -6.928993e-02 -0.0757715440 -3.266092e-02 -0.02436118
  > 10 0.004603912 -2.557238e-06 0.0003578298 3.572718e-05 -0.02125865
  > d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  > 1 0.171185288 2.331468e-04 -0.021444999 -0.0282662782 0.048672177
  > 5 -0.025546232 2.173817e-02 0.026478819 0.0032543412 0.006794565
  > 10 0.001654232 1.157928e-05 -0.001487699 -0.0002185752 -0.001876277
  > d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  > 1 -0.254141153 -1.308953e-02 0.0381764065 0.0217714735 0.505179232
  > 5 -0.026567637 9.645063e-03 0.0130118138 0.0014863111 0.003785861
  > 10 -0.005959122 -2.331035e-05 0.0003108624 0.0003934353 0.008826273
  3227,3237c3227,3237
  < 1 1.181186e-02 -0.129013157 0.119873943 -0.0379627015 0.011535410
  < 5 5.937504e-03 -0.101064790 0.174963312 -0.1495208179 0.031438445
  < 10 -4.870546e-05 -0.005021199 0.005014896 -0.0002805039 -0.000998804
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0060174088 0.060929040 -0.066579381 -0.004185541 -0.0110939036
  < 5 -0.0011657342 0.004840572 -0.008104628 0.086688989 -0.0024313884
  < 10 -0.0002026157 0.016030493 -0.015920598 0.001255940 0.0001332268
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0026423308 -0.06278311 0.067146289 0.002819966 0.012226331
  < 5 0.0019984014 -0.00343614 0.007427392 -0.087069241 0.002564615
  < 10 0.0006487866 -0.01867386 0.016797674 -0.001340594 -0.002375877
  ---
  > 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 0.1533672810 -0.0170856543 0.1021475979 -0.015234437
  < 5 0.01706428 0.2706950980 -0.1170210614 0.2281052242 -0.069036460
  < 10 -0.00124792 0.0009130557 0.0002325343 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 0.060651484 -0.00821565 0.0004871104 -0.008115730 0.0010186296
  < 5 -0.008915091 0.11029511 0.0058952843 -0.241032194 -0.0483835194
  < 10 0.002114281 -0.00425918 -0.0001443290 -0.004032885 -0.0006883383
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 -0.055300209 0.003519407 -0.0003358425 0.003552714 -0.0002442491
  < 5 -0.003486100 -0.245770071 -0.0062505556 0.358385543 0.0935473921
  < 10 -0.007019385 0.003675185 0.0006772360 0.003456263 0.0007438494
  ---
  > 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
  3258,3259c3258,3259
  < 5 0.0175774627 2.395467e-02 0.0058390019 -2.629045e-02 0.0428897488
  < 10 -0.0001510784 -2.604054e-07 -0.0007398901 4.714840e-06 -0.0005445021
  ---
  > 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
  3261,3267c3261,3267
  < 1 -3.986811e-02 2.920997e-02 0.0014422491 2.453593e-03 -0.0222266650
  < 5 -3.963496e-03 2.530143e-01 0.0001665335 3.923528e-02 -0.1929456594
  < 10 -1.734723e-05 7.372575e-06 0.0001332268 3.608225e-05 0.0004440892
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 4.870548e-02 -3.104184e-02 -0.0018329088 -2.209344e-03 0.0221100915
  < 5 6.439294e-04 -4.370670e-01 0.0004996004 -5.021539e-02 0.3471334331
  < 10 -9.436896e-05 -5.117434e-06 -0.0005218048 -8.118506e-05 -0.0002664535
  ---
  > 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 -0.2656266710 -1.938076e-01 -0.041997050
  < 10 -1.186673e-05 -4.985485e-06 -0.0004924701 -2.991087e-06 -0.002234392
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.002531308 -1.358913e-02 -0.0000558581 -1.054712e-03 -5.273559e-05
  < 5 0.001376677 3.076428e-02 0.0273114864 5.456746e-03 7.516210e-03
  < 10 0.000238698 -5.056719e-05 0.0021316282 -3.469447e-06 -5.850875e-03
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 0.0033195668 1.338929e-02 4.753142e-05 6.661338e-05 0.0002053913
  < 5 -0.0030531133 -2.514100e-02 -2.287059e-02 -4.773959e-03 -0.0066280315
  < 10 0.0001679212 2.159731e-05 -6.439294e-04 -8.187895e-05 0.0042854609
  ---
  > 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 -0.0049876460 -3.289512e-03 -0.0138609342 4.270861e-03 -0.0174903269
  < 5 0.0034557269 -6.116294e-04 -0.0139525778 6.473313e-02 -0.0109850992
  < 10 0.0001767612 4.027221e-07 0.0001458661 2.991073e-06 0.0001550854
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.0001554312 1.703082e-02 0.0400100092 5.928591e-03 0.0300010017
  < 5 0.0015765167 -2.220446e-05 0.0010103030 -5.850320e-02 0.0005884182
  < 10 -0.0000652256 -8.933826e-06 0.0003774758 -6.800116e-05 0.0004996004
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 1.021405e-03 -1.711964e-02 -0.0453956317 -5.417888e-03 -3.340106e-02
  < 5 -1.176836e-03 -4.996004e-05 -0.0006217249 6.047940e-02 -4.551914e-04
  < 10 -3.191891e-05 5.117434e-06 -0.0001554312 4.996004e-05 -4.440892e-05
  ---
  > 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 -0.0013927409 -7.163088e-03 0.016362166 -0.0420913450 0.0877820318
  < 5 0.0131219796 -6.481625e-02 -0.004527682 -0.0542621665 0.3727697583
  < 10 -0.0001958608 -2.886845e-06 -0.001114181 -0.0003593979 -0.0007039136
  < d_y1_d_x2 d_y2_d_x2 d_y3_d_x2 d_y4_d_x2 d_y5_d_x2
  < 1 -0.057409633 -2.897682e-03 -0.005002943 0.086342045 -0.067001960
  < 5 -0.007871481 -6.495360e-02 0.001465494 0.307651127 -0.031619152
  < 10 0.000000000 1.431147e-05 0.001287859 0.001623701 -0.001276756
  < d_y1_d_x3 d_y2_d_x3 d_y3_d_x3 d_y4_d_x3 d_y5_d_x3
  < 1 6.374901e-02 5.351275e-03 4.291012e-03 -0.06350476 0.044414472
  < 5 3.330669e-05 1.231737e-01 1.776357e-03 -0.41858184 0.035482728
  < 10 4.739265e-04 -1.986258e-05 3.330669e-05 -0.00216771 0.001465494
  ---
  > 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
  3321,3330c3321,3330
  < d_y1_d_x2 -0.016753265 0.000000000 0.413145431 0.017930102 0.074540374
  < d_y2_d_x2 0.055822014 0.000000000 0.042011427 -0.058919536 -0.153199675
  < d_y3_d_x2 0.027184852 0.000000000 0.019128767 -0.029037536 -0.026145752
  < d_y4_d_x2 0.063071770 0.000000000 0.038672718 -0.066691097 -0.009847678
  < d_y5_d_x2 -0.008484879 0.000000000 -0.006781395 0.009023338 0.029518055
  < d_y1_d_x3 0.062472250 0.000000000 0.076294526 0.366560473 -0.084987573
  < d_y2_d_x3 -0.058486549 0.000000000 -0.071886941 0.034162150 0.126132438
  < d_y3_d_x3 -0.043372944 0.000000000 -0.053118968 0.032203725 0.027959232
  < d_y4_d_x3 -0.037303494 0.000000000 -0.047284399 0.002113073 0.005506706
  < d_y5_d_x3 0.007821521 0.000000000 0.009819923 -0.004852382 -0.029412583
  ---
  > 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
  3339c3339
  < d_y3_d_x2 0.00000000 -0.023260990 0.027983171 -0.168416669 0.00000000
  ---
  > d_y3_d_x2 0.00000000 -0.023259602 0.027975192 -0.168416669 0.00000000
  3341c3341
  < d_y5_d_x2 0.00000000 0.025150613 -0.032029934 -0.029029557 0.00000000
  ---
  > d_y5_d_x2 0.00000000 0.025178368 -0.032029934 -0.029029557 0.00000000
  3344c3344
  < d_y3_d_x3 0.00000000 0.034302422 -0.021020074 0.166038364 0.00000000
  ---
  > d_y3_d_x3 0.00000000 0.034301034 -0.021011748 0.166038364 0.00000000
  3346c3346
  < d_y5_d_x3 0.00000000 -0.036121106 0.020820743 0.032052139 0.00000000
  ---
  > d_y5_d_x3 0.00000000 -0.036082248 0.020820743 0.032052139 0.00000000
  3349c3349
  < d_y2_d_x1 0.048973278 -0.042721676 0.006003173 0.008356094 0.007348375
  ---
  > d_y2_d_x1 0.048973277 -0.042721676 0.006003173 0.008356094 0.007348375
  3353,3356c3353,3356
  < d_y1_d_x2 0.020551630 -0.028976821 0.064115380 0.000000000 0.004379869
  < d_y2_d_x2 -0.028404092 0.034261483 -0.008160139 0.000000000 -0.008116483
  < d_y3_d_x2 -0.135294152 0.179847803 0.013616538 0.000000000 0.013832579
  < d_y4_d_x2 0.008921257 -0.010036416 -0.187827531 0.000000000 -0.128902615
  ---
  > 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
  3358,3361c3358,3361
  < d_y1_d_x3 -0.035638159 0.017820481 -0.046185278 0.000000000 -0.056399330
  < d_y2_d_x3 0.038247183 -0.021054415 0.005517808 0.000000000 0.007904788
  < d_y3_d_x3 0.203197181 -0.106372149 -0.009914639 0.000000000 -0.012177412
  < d_y4_d_x3 -0.007882583 0.003880845 0.076627593 0.000000000 0.093403063
  ---
  > 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
  3369,3372c3369,3372
  < d_y1_d_x2 -0.067257311 -0.016930901 0.000000000 -0.011273604 0.018185453
  < d_y2_d_x2 0.010424994 0.023447910 0.000000000 0.021021225 -0.025135449
  < d_y3_d_x2 -0.014536289 -0.024281618 0.000000000 -0.022099357 0.025914340
  < d_y4_d_x2 0.201971773 0.010069723 0.000000000 0.009159585 -0.011135537
  ---
  > 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
  3374,3377c3374,3377
  < d_y1_d_x3 -0.023686569 0.020317081 0.000000000 0.026001423 -0.012494850
  < d_y2_d_x3 -0.004341725 -0.022792879 0.000000000 -0.026745273 0.017202058
  < d_y3_d_x3 0.007678127 0.026230754 0.000000000 0.032092037 -0.020461431
  < d_y4_d_x3 0.019900578 -0.007338574 0.000000000 -0.007149836 0.004441138
  ---
  > 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
  3380,3394c3380,3394
  < d_y1_d_x1 0.072752928 -0.0272145783 0.186660139 1.117535e-01 0.011811864
  < d_y2_d_x1 0.012780185 0.0343705286 -0.053983212 1.527046e-03 -0.129013157
  < d_y3_d_x1 -0.006363313 0.0108054843 -0.033931029 -5.739352e-04 0.119873943
  < d_y4_d_x1 -0.023256311 -0.0063509998 0.016983142 1.456956e-03 -0.037962702
  < d_y5_d_x1 0.008657582 -0.0007693303 0.004752178 -1.981283e-01 0.011535410
  < d_y1_d_x2 -0.154654067 0.0360045327 -0.181510362 1.711853e-01 -0.006017409
  < d_y2_d_x2 -0.164868119 -0.0377586851 -0.008093526 8.881784e-05 0.060929040
  < d_y3_d_x2 -0.004298992 -0.0409415557 0.017621321 -2.144951e-02 -0.066579381
  < d_y4_d_x2 -0.003763656 0.0012878587 -0.163313807 -2.826628e-02 -0.004185541
  < d_y5_d_x2 0.032723824 -0.0105915277 0.010780266 4.863610e-02 -0.011093904
  < d_y1_d_x3 0.094901864 -0.0496602759 0.044542148 -2.541412e-01 0.002642331
  < d_y2_d_x3 0.282052159 0.0575095527 0.012712054 -1.300071e-02 -0.062783112
  < d_y3_d_x3 0.019983321 0.1200622934 -0.018649318 3.817918e-02 0.067146289
  < d_y4_d_x3 0.007771561 -0.0026201263 0.223077112 2.177147e-02 0.002819966
  < d_y5_d_x3 -0.057312488 0.0228012054 -0.017544299 5.052014e-01 0.012226331
  ---
  > 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
  3397c3397
  < d_y2_d_x1 0.1533672810 -0.0089676991 1.880437e-02 -0.0032895116 -0.007163088
  ---
  > d_y2_d_x1 0.1533672810 -0.0089676991 1.880437e-02 -0.0032895114 -0.007163088
  3401,3410c3401,3410
  < d_y1_d_x2 0.0606514838 -0.0398681088 -2.531308e-03 -0.0001554312 -0.057409633
  < d_y2_d_x2 -0.0082156504 0.0292099678 -1.358913e-02 0.0170308212 -0.002897682
  < d_y3_d_x2 0.0004871104 0.0014422491 -5.585810e-05 0.0400100092 -0.005002943
  < d_y4_d_x2 -0.0081157303 0.0024535929 -1.054712e-03 0.0059285910 0.086342045
  < d_y5_d_x2 0.0010186296 -0.0222266650 -5.273559e-05 0.0300010017 -0.067001960
  < d_y1_d_x3 -0.0553002089 0.0487054841 3.319567e-03 0.0010214052 0.063749006
  < d_y2_d_x3 0.0035194070 -0.0310418358 1.338929e-02 -0.0171196390 0.005351275
  < d_y3_d_x3 -0.0003358425 -0.0018329088 4.753142e-05 -0.0453956317 0.004291012
  < d_y4_d_x3 0.0035527137 -0.0022093438 6.661338e-05 -0.0054178884 -0.063504757
  < d_y5_d_x3 -0.0002442491 0.0221100915 2.053913e-04 -0.0334010597 0.044414472
  ---
  > 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 0.5398240 -0.916 0.359
  < 1: d_y2_d_x2 0.0647527 0.3332237 0.194 0.846
  < 1: d_y3_d_x2 -0.0794619 0.3063227 -0.259 0.795
  < 1: d_y4_d_x2 0.0974803 0.3723316 0.262 0.793
  < 1: d_y5_d_x2 -0.2317200 0.3161959 -0.733 0.464
  < 1: d_y1_d_x3 -0.4766197 0.5100468 -0.934 0.350
  < 1: d_y2_d_x3 -0.0502785 0.3826798 -0.131 0.895
  < 1: d_y3_d_x3 0.0766180 0.3375888 0.227 0.820
  < 1: d_y4_d_x3 -0.0365310 0.2708641 -0.135 0.893
  < 1: d_y5_d_x3 0.3439783 0.6871955 0.501 0.617
  < 2: d_y1_d_x1 0.0872088 0.3579433 0.244 0.808
  < 2: d_y2_d_x1 -0.1645432 0.4973437 -0.331 0.741
  < 2: d_y3_d_x1 0.0428942 0.3990966 0.107 0.914
  < 2: d_y4_d_x1 -0.5147390 0.5819263 -0.885 0.376
  < 2: d_y5_d_x1 -0.1484177 0.5702153 -0.260 0.795
  < 2: d_y1_d_x2 -0.0108274 0.1206212 -0.090 0.928
  < 2: d_y2_d_x2 0.2743781 0.4860000 0.565 0.572
  < 2: d_y3_d_x2 -0.0006287 0.0312643 -0.020 0.984
  < 2: d_y4_d_x2 0.2036307 0.5831295 0.349 0.727
  < 2: d_y5_d_x2 -0.3347576 0.4399700 -0.761 0.447
  < 2: d_y1_d_x3 -0.0065804 0.0781812 -0.084 0.933
  < 2: d_y2_d_x3 -0.5189332 0.9408758 -0.552 0.581
  < 2: d_y3_d_x3 0.0010228 0.0266730 0.038 0.969
  < 2: d_y4_d_x3 -0.2494990 0.8228627 -0.303 0.762
  < 2: d_y5_d_x3 0.5419625 0.7022963 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 0.3159872 -0.279 0.780
  < 3: d_y2_d_x2 0.0106005 0.0502305 0.211 0.833
  < 3: d_y3_d_x2 -0.0862048 0.2720586 -0.317 0.751
  < 3: d_y4_d_x2 0.0780616 0.2174703 0.359 0.720
  < 3: d_y5_d_x2 -0.0047180 0.0226804 -0.208 0.835
  < 3: d_y1_d_x3 -0.0973256 0.2961732 -0.329 0.742
  < 3: d_y2_d_x3 -0.0145293 0.0707808 -0.205 0.837
  < 3: d_y3_d_x3 0.0570375 0.1503782 0.379 0.704
  < 3: d_y4_d_x3 -0.0703260 0.1836015 -0.383 0.702
  < 3: d_y5_d_x3 0.0072767 0.0322118 0.226 0.821
  ---
  > 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’ [1s/1s]
  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