$hessian                                                                        
        0.4770347512   0.0373005094  -0.0037337203  -0.1422742848   0.0610225308
       -0.0041041869  -0.0467028671   0.0035570114   0.0007106320   0.0020346842
       -0.0005022379   0.0004772291  -0.0051060434   0.0051564577   0.0020681983
       -0.0052327104   0.0066205747  -0.0029090858  -0.1918931102  -0.1197254338
        0.0016557910  -0.0433572787   0.0009713453  -0.0025916792  -0.0445031409
        0.0055992424   0.0084268218
        0.0373005094   0.5066083114  -0.0023057710   0.0654293841  -0.1082417538
        0.0017626732  -0.0221391297   0.0079313433   0.0000676617  -0.0010807287
        0.0018788202   0.0004267013   0.0171308040  -0.0124235178  -0.0017250030
        0.0160924522  -0.0117911499   0.0035673628  -0.1194703841  -0.1372529391
        0.0012278566   0.0004554540  -0.1165466061   0.1099421082   0.0062816388
       -0.1301625082  -0.1129635897
       -0.0037337203  -0.0023057710   0.5229691040  -0.0025272586   0.0022740157
       -0.0692610828   0.0016840870  -0.0020296342   0.0041330962  -0.0011341813
        0.0012194496   0.0005743160   0.0190832401  -0.0149042229  -0.0005096823
       -0.0214570594   0.0173813944  -0.0037740176   0.0012162509   0.0009775869
       -0.0441257997  -0.0025301996   0.1100576821  -0.2150943287   0.0093988412
       -0.1126705006  -0.1949116050
       -0.1422742848   0.0654293841  -0.0025272586   0.4283486675  -0.0098668678
       -0.0073970658  -0.1750139656  -0.0896806757   0.0177648990  -0.0016643193
       -0.0037738303  -0.0052152570  -0.0404515010   0.0097864685   0.0109998620
       -0.0385849618   0.0101620506  -0.0121447241  -0.0222010216   0.0094606113
       -0.0007771412  -0.0033193818   0.0036853688  -0.0030657482  -0.0048392316
        0.0047974904   0.0023624340
        0.0610225308  -0.1082417538   0.0022740157  -0.0098668678   0.4819995890
        0.0266086199  -0.0676337056  -0.1113087706  -0.0067490248  -0.0230704618
       -0.0204786054  -0.0001137860   0.0118864503  -0.1253722961  -0.1097110088
        0.0079555336  -0.0979842918   0.0869957803  -0.0156275257   0.0077418565
       -0.0006977367   0.0170899018  -0.0123185338   0.0041749921   0.0182441444
       -0.0140371940  -0.0027818517
       -0.0041041869   0.0017626732  -0.0692610828  -0.0073970658   0.0266086199
        0.5291969828   0.0341040488   0.0065110177  -0.0714156640  -0.0248559652
       -0.0154236161   0.0019142232   0.0143465603  -0.1060076517  -0.1923643069
       -0.0108847416   0.0858040848  -0.1947397841   0.0001068282  -0.0000480470
        0.0000894723  -0.0223713311   0.0160190094  -0.0029412106   0.0210558532
       -0.0152260902  -0.0004786299
       -0.0467028671  -0.0221391297   0.0016840870  -0.1750139656  -0.0676337056
        0.0341040488   0.2788754998   0.1131265110  -0.0681545439  -0.0356969800
       -0.0005681670   0.0252377184  -0.0044731396  -0.0072744583  -0.0045337779
       -0.0132073324  -0.0178374711   0.0112185843  -0.0090215609   0.0044950908
       -0.0000232024   0.0027450209  -0.0011681133   0.0002331058   0.0024953249
       -0.0010005567   0.0002339799
        0.0035570114   0.0079313433  -0.0020296342  -0.0896806757  -0.1113087706
        0.0065110177   0.1131265110   0.3425834574   0.2084380103   0.0186496575
       -0.2022981372  -0.2183012104  -0.0220823428  -0.0196799782  -0.0041087039
       -0.0259707472  -0.0199754911   0.0095337470   0.0024321828   0.0005959501
        0.0000144985  -0.0009693716   0.0013050558  -0.0011114311   0.0009377746
        0.0008465705   0.0010537060
        0.0007106320   0.0000676617   0.0041330962   0.0177648990  -0.0067490248
       -0.0714156640  -0.0681545439   0.2084380103   0.3139291472   0.0452338558
       -0.2031132025  -0.2487581897  -0.0213403150  -0.0178937452   0.0010352402
        0.0250892354   0.0197223437  -0.0004145128  -0.0000334636  -0.0002582995
        0.0006629492   0.0004964853  -0.0009358849   0.0006081160   0.0002332151
        0.0007221411   0.0002198178
        0.0020346842  -0.0010807287  -0.0011341813  -0.0016643193  -0.0230704618
       -0.0248559652  -0.0356969800   0.0186496575   0.0452338558   0.0392591079
        0.0090271803  -0.0194126658  -0.0040155627  -0.0043346344  -0.0001519887
        0.0006658829   0.0001268140  -0.0001532367   0.0001789150   0.0002702042
       -0.0000176934  -0.0003731210   0.0000876568  -0.0002776050  -0.0003886071
        0.0003243120   0.0007694804
       -0.0005022379   0.0018788202   0.0012194496  -0.0037738303  -0.0204786054
       -0.0154236161  -0.0005681670  -0.2022981372  -0.2031132025   0.0090271803
        0.2233374870   0.2177390439  -0.0043841290  -0.0024924267   0.0004891452
        0.0000387546  -0.0001462840  -0.0010948137   0.0005328206   0.0000056702
        0.0000373644   0.0002777725  -0.0002344518   0.0003363902  -0.0006481639
        0.0004279278  -0.0001897608
        0.0004772291   0.0004267013   0.0005743160  -0.0052152570  -0.0001137860
        0.0019142232   0.0252377184  -0.2183012104  -0.2487581897  -0.0194126658
        0.2177390439   0.2435711580  -0.0009122533  -0.0011057167   0.0015143711
        0.0002264725   0.0011306140   0.0016212606   0.0002856586   0.0003046607
        0.0000190747  -0.0002554388  -0.0000381982  -0.0005551713  -0.0004314637
       -0.0000421086   0.0000989574
       -0.0051060434   0.0171308040   0.0190832401  -0.0404515010   0.0118864503
        0.0143465603  -0.0044731396  -0.0220823428  -0.0213403150  -0.0040155627
       -0.0043841290  -0.0009122533   0.0557146350  -0.0053826449  -0.0103147184
        0.0017337782  -0.0007502946  -0.0017254143   0.0003311988   0.0002551834
        0.0003618196   0.0007760825  -0.0004398005   0.0003661513  -0.0045094479
        0.0037667741   0.0001349297
        0.0051564577  -0.0124235178  -0.0149042229   0.0097864685  -0.1253722961
       -0.1060076517  -0.0072744583  -0.0196799782  -0.0178937452  -0.0043346344
       -0.0024924267  -0.0011057167  -0.0053826449   0.1525023216   0.1290640407
       -0.0003388003   0.0086466944   0.0114030930  -0.0004972890   0.0005740251
        0.0000897194  -0.0004640161   0.0000475461  -0.0004404859   0.0033489168
       -0.0018023684  -0.0002050307
        0.0020681983  -0.0017250030  -0.0005096823   0.0109998620  -0.1097110088
       -0.1923643069  -0.0045337779  -0.0041087039   0.0010352402  -0.0001519887
        0.0004891452   0.0015143711  -0.0103147184   0.1290640407   0.2165501369
        0.0020749119  -0.0149672952  -0.0283640404   0.0001704420   0.0002131920
        0.0000759947  -0.0004886562   0.0005447025   0.0007708856   0.0001757271
        0.0002009306   0.0012914011
       -0.0052327104   0.0160924522  -0.0214570594  -0.0385849618   0.0079555336
       -0.0108847416  -0.0132073324  -0.0259707472   0.0250892354   0.0006658829
        0.0000387546   0.0002264725   0.0017337782  -0.0003388003   0.0020749119
        0.0580284911  -0.0012115202   0.0061046550   0.0004624326   0.0001693078
       -0.0002758890  -0.0046987003   0.0038116472  -0.0005249547   0.0008331200
       -0.0005466278  -0.0003526302
        0.0066205747  -0.0117911499   0.0173813944   0.0101620506  -0.0979842918
        0.0858040848  -0.0178374711  -0.0199754911   0.0197223437   0.0001268140
       -0.0001462840   0.0011306140  -0.0007502946   0.0086466944  -0.0149672952
       -0.0012115202   0.1225261496  -0.1100316940  -0.0002838026   0.0004154270
       -0.0000810597   0.0037707115  -0.0018726289   0.0005323913  -0.0005970624
        0.0001815747   0.0005092207
       -0.0029090858   0.0035673628  -0.0037740176  -0.0121447241   0.0869957803
       -0.1947397841   0.0112185843   0.0095337470  -0.0004145128  -0.0001532367
       -0.0010948137   0.0016212606  -0.0017254143   0.0114030930  -0.0283640404
        0.0061046550  -0.1100316940   0.2235399733  -0.0002312922  -0.0002263655
       -0.0000383355  -0.0008668269   0.0003545939   0.0013120431   0.0007073406
       -0.0005017037   0.0008574134
       -0.1918931102  -0.1194703841   0.0012162509  -0.0222010216  -0.0156275257
        0.0001068282  -0.0090215609   0.0024321828  -0.0000334636   0.0001789150
        0.0005328206   0.0002856586   0.0003311988  -0.0004972890   0.0001704420
        0.0004624326  -0.0002838026  -0.0002312922   0.2233809674   0.1377085180
       -0.0017731465  -0.0009768725  -0.0026745730   0.0013282812  -0.0002609485
       -0.0021199469  -0.0010695587
       -0.1197254338  -0.1372529391   0.0009775869   0.0094606113   0.0077418565
       -0.0000480470   0.0044950908   0.0005959501  -0.0002582995   0.0002702042
        0.0000056702   0.0003046607   0.0002551834   0.0005740251   0.0002131920
        0.0001693078   0.0004154270  -0.0002263655   0.1377085180   0.1565324454
       -0.0010721893  -0.0155603854  -0.0134890398   0.0023167485  -0.0170730963
       -0.0151233953  -0.0022072867
        0.0016557910   0.0012278566  -0.0441257997  -0.0007771412  -0.0006977367
        0.0000894723  -0.0000232024   0.0000144985   0.0006629492  -0.0000176934
        0.0000373644   0.0000190747   0.0003618196   0.0000897194   0.0000759947
       -0.0002758890  -0.0000810597  -0.0000383355  -0.0017731465  -0.0010721893
        0.0468560593   0.0217305466   0.0190988805  -0.0019426954  -0.0208810845
       -0.0186173336  -0.0015967195
       -0.0433572787   0.0004554540  -0.0025301996  -0.0033193818   0.0170899018
       -0.0223713311   0.0027450209  -0.0009693716   0.0004964853  -0.0003731210
        0.0002777725  -0.0002554388   0.0007760825  -0.0004640161  -0.0004886562
       -0.0046987003   0.0037707115  -0.0008668269  -0.0009768725  -0.0155603854
        0.0217305466   0.0484043111  -0.0040384949   0.0040204006   0.0007999398
       -0.0005615719   0.0002650201
        0.0009713453  -0.1165466061   0.1100576821   0.0036853688  -0.0123185338
        0.0160190094  -0.0011681133   0.0013050558  -0.0009358849   0.0000876568
       -0.0002344518  -0.0000381982  -0.0004398005   0.0000475461   0.0005447025
        0.0038116472  -0.0018726289   0.0003545939  -0.0026745730  -0.0134890398
        0.0190988805  -0.0040384949   0.1334275049  -0.1289354493  -0.0002350364
        0.0096811537  -0.0161653360
       -0.0025916792   0.1099421082  -0.2150943287  -0.0030657482   0.0041749921
       -0.0029412106   0.0002331058  -0.0011114311   0.0006081160  -0.0002776050
        0.0003363902  -0.0005551713   0.0003661513  -0.0004404859   0.0007708856
       -0.0005249547   0.0005323913   0.0013120431   0.0013282812   0.0023167485
       -0.0019426954   0.0040204006  -0.1289354493   0.2458839632   0.0005120481
        0.0131847361  -0.0280416018
       -0.0445031409   0.0062816388   0.0093988412  -0.0048392316   0.0182441444
        0.0210558532   0.0024953249   0.0009377746   0.0002332151  -0.0003886071
       -0.0006481639  -0.0004314637  -0.0045094479   0.0033489168   0.0001757271
        0.0008331200  -0.0005970624   0.0007073406  -0.0002609485  -0.0170730963
       -0.0208810845   0.0007999398  -0.0002350364   0.0005120481   0.0503729912
       -0.0102591157  -0.0107704772
        0.0055992424  -0.1301625082  -0.1126705006   0.0047974904  -0.0140371940
       -0.0152260902  -0.0010005567   0.0008465705   0.0007221411   0.0003243120
        0.0004279278  -0.0000421086   0.0037667741  -0.0018023684   0.0002009306
       -0.0005466278   0.0001815747  -0.0005017037  -0.0021199469  -0.0151233953
       -0.0186173336  -0.0005615719   0.0096811537   0.0131847361  -0.0102591157
        0.1499882393   0.1329499289
        0.0084268218  -0.1129635897  -0.1949116050   0.0023624340  -0.0027818517
       -0.0004786299   0.0002339799   0.0010537060   0.0002198178   0.0007694804
       -0.0001897608   0.0000989574   0.0001349297  -0.0002050307   0.0012914011
       -0.0003526302   0.0005092207   0.0008574134  -0.0010695587  -0.0022072867
       -0.0015967195   0.0002650201  -0.0161653360  -0.0280416018  -0.0107704772
        0.1329499289   0.2225609664
