# Poisson EquationΒΆ

Import Netgen/NGSolve Python modules:

[1]:

from ngsolve import *
from ngsolve.webgui import Draw


The unit_square is a predefined domain, use Netgen to generate a mesh:

[2]:

mesh = Mesh(unit_square.GenerateMesh(maxh=0.2))
Draw (mesh);


Define a finite element space on that mesh.

[3]:

fes = H1(mesh, order=3, dirichlet="left|right|bottom|top")
print ("ndof =", fes.ndof)

ndof = 283


Define linear and bilinear-forms.

$a(u,v) = \int \nabla u \nabla v \qquad \text{and} \qquad f(v) = \int f v$

Forms are expressed in terms of trial and test-functions:

[4]:

u = fes.TrialFunction()
v = fes.TestFunction()

f = LinearForm(fes)
f += 32*(y*(1-y)+x*(1-x))*v*dx

a = BilinearForm(fes)

a.Assemble()
f.Assemble();

[5]:

print(f.vec)
print(a.mat)

 0.0196267
0.0324124
0.0196267
0.0298806
0.162444
0.222132
0.167563
0.0952899
0.108071
0.163786
0.143433
0.122293
0.179525
0.174979
0.185478
0.0919762
0.0879665
0.161225
0.21993
0.161041
0.663759
0.526143
0.36311
0.173389
0.439692
0.366482
0.348037
0.308003
0.590946
0.361017
0.146134
0.33313
0.529047
0.496574
0.628019
0.420004
0.555977
0.332213
0.53631
-0.00291556
-0.000294603
-0.00291556
-0.000294603
-0.00224839
-0.000194693
-0.00226508
-0.000196166
-0.00510448
-0.000588404
-0.00291556
-0.000294603
-0.00291556
-0.000294603
-0.00211712
-0.000187585
-0.0020785
-0.000184104
-0.00467326
-0.000533161
-0.0081148
-0.00018156
-0.0122014
7.01473e-07
-0.0188814
-0.000982548
-0.00729996
-1.07971e-06
-0.0215731
-0.000587555
-0.0203327
-0.000663718
-0.00533105
0.000117556
-0.0163979
-0.000551687
-0.0141261
-0.000342373
-0.0101536
-0.000494289
-0.00705863
-0.000185094
-0.00612031
-0.000130477
-0.00782833
-0.000199327
-0.0120237
-0.000625365
-0.00593461
2.68066e-06
-0.0153305
-0.00043575
-0.0147662
-0.000435812
-0.00507479
0.000116715
-0.0133289
-0.0004023
-0.0124232
-0.000260852
-0.0103954
-1.29576e-05
-0.0129778
-0.000600622
-0.00542493
-0.000118401
-0.0147618
-0.000629223
-0.0131622
-0.000612393
-0.00834488
-4.18613e-07
-0.0139636
-0.000347115
-0.0174052
-0.000626533
-0.00535147
0.000119955
-0.0189157
-0.000680942
-0.0152407
-0.000346869
-0.00985495
-0.000471998
-0.00656916
-0.000152937
-0.00502187
-0.000112838
-0.00639541
-0.000149861
-0.00933101
-0.000439318
-0.00711048
-1.53297e-08
-0.0134428
-0.000299842
-0.0159025
-0.000530889
-0.00794166
0.000177373
-0.0214784
-0.000585927
-0.0202196
-0.000652337
-0.0186818
-0.000972852
-0.0269406
-0.000159219
-0.0269356
-0.000147939
-0.0284701
-0.000489786
-0.018319
0.000173049
-0.021845
-0.000202232
-0.0264047
-0.000294802
-0.0109523
0.000274331
-0.0166089
-6.1741e-05
-0.0200323
-0.000373518
-0.0119808
-0.000350686
-0.0167111
-3.22176e-05
-0.0191317
-0.000285997
-0.0169615
-0.000232151
-0.0150218
0.000138133
-0.0154966
-0.000149401
-0.0154404
-0.000188098
-0.0151056
-6.16314e-05
-0.0154198
-0.000290906
-0.0174892
-0.000199363
-0.0165528
-0.000241959
-0.0211381
0.000274549
-0.0210675
-7.02731e-05
-0.0247967
-0.000140485
-0.0252695
-0.000269137
-0.00931184
0.000253467
-0.0139219
1.24903e-05
-0.0203095
-0.000376281
-0.00914801
-0.000240211
-0.0180821
-0.000198067
-0.0189065
-0.000368491
-0.0271084
-0.000314321
-0.0227667
-0.000194473
-0.023916
-4.85442e-05
-0.017742
1.76853e-05
-0.0205323
-7.93976e-05
-0.0252867
7.99087e-05
-0.0243265
-4.7231e-05
-0.0155482
-3.86664e-05
-0.0202181
-0.000151317
-0.0258593
-0.000131938
-0.0169194
-8.36502e-05
0.00130032
0.0035721
0.00315794
0.00499044
0.00231683
0.00333446
0.00105904
0.00171815
0.00106695
0.00268655
0.00206442
0.00254106
0.00337307
0.00218627
0.00275296
0.00130032
0.0023628
0.00363482
0.0032272
0.00231994
0.00382582
0.00098942
0.00159539
0.000971258
0.00217138
0.00153988
0.00307202
0.00321756
0.00349426
0.00377062
0.00290596
0.00300148
0.00503745
0.00394098
0.00570463
0.00477604
0.00322689
0.00291722
0.00263653
0.00403064
0.00207846
0.00354047
0.00455047
0.00367398
0.0039743
0.00565022
0.00511476
0.00322778
0.00358503
0.00533877
0.00293192
0.00346033
0.00473928
0.00327416
0.00494681
0.0047586

Row 0:   0: 1   4: -0.5   19: -0.5   39: -0.0833333   40: -2.65413e-16   41: -0.0833333   42: -3.26128e-16   61: 0.166667   62: -4.51028e-17   227: -5.55112e-17
Row 1:   1: 0.828732   7: -0.195774   8: -0.197948   23: -0.43501   43: -0.0360819   44: -1.26635e-16   45: -0.0364197   46: -1.04951e-16   47: -0.0656203   48: -2.42861e-16   79: 0.0687109   80: 1.38778e-17   83: 0.069411   84: -2.42861e-17   233: -1.73472e-17   235: -2.42861e-17
Row 2:   2: 1   11: -0.5   12: -0.5   49: -0.0833333   50: -3.19189e-16   51: -0.0833333   52: -2.61076e-16   99: 0.166667   100: 4.51028e-17   242: -5.55112e-17
Row 3:   3: 0.834885   15: -0.164012   16: -0.157951   30: -0.512921   53: -0.0431063   54: -1.21431e-16   55: -0.0423806   56: -1.01048e-16   57: -0.0536605   58: -2.64545e-16   123: 0.0704417   124: -5.20417e-18   127: 0.0687058   128: -4.51028e-17   248: -1.73472e-17   250: -2.77556e-17
Row 4:   0: -0.5   4: 1.89671   5: -0.546735   19: -0.180532   20: -0.66944   39: 6.245e-17   40: 1.74448e-16   41: 0.0833333   42: 9.36751e-17   59: -0.0544706   60: -2.44596e-16   61: -0.140436   62: -2.42861e-16   63: -0.121211   64: -4.04624e-16   67: 0.145593   68: 1.73472e-18   143: 0.0871914   144: -1.12757e-17   227: -3.46945e-18   228: -3.46945e-17   256: -1.73472e-17
Row 5:   4: -0.546735   5: 1.88547   6: -0.352441   20: -0.196284   21: -0.790007   59: -0.0136061   60: 2.04155e-16   63: 0.104729   64: 7.63278e-17   65: -0.0481159   66: -1.71304e-16   67: -0.174674   68: -2.72352e-16   69: -0.0778481   70: -3.80338e-16   73: 0.106856   74: -1.56125e-17   145: 0.10266   146: -5.37764e-17   228: -3.46945e-18   229: -3.1225e-17   230: -1.04083e-17
Row 6:   5: -0.352441   6: 1.75375   7: -0.265716   21: -0.432048   22: -0.703548   65: -0.0385388   66: 1.62197e-16   69: 0.097279   70: 0   71: -0.0537377   72: -1.4962e-16   73: -0.12226   74: -3.31766e-16   75: -0.0777552   76: -3.63425e-16   77: 0.0980238   78: -3.98986e-17   151: 0.0969894   152: -1.21431e-17   229: -2.25514e-17   231: -3.46945e-17   232: -2.42861e-17
Row 7:   1: -0.195774   6: -0.265716   7: 1.822   22: -0.405418   23: -0.955095   43: -0.0839333   44: 2.27249e-16   47: 0.116562   48: -5.20417e-17   71: -0.0465664   72: 1.46584e-16   75: 0.0908524   76: -3.1225e-17   77: -0.119535   78: -3.17454e-16   79: -0.0536322   80: -4.58618e-16   157: 0.0962524   158: -4.94396e-17   231: -3.1225e-17   233: 8.1532e-17   234: -1.04083e-17
Row 8:   1: -0.197948   8: 1.87437   9: -0.341759   23: -1.05108   24: -0.283578   45: -0.0827377   46: 1.5439e-16   47: 0.115729   48: -1.00614e-16   81: -0.0333848   82: -1.47885e-16   83: -0.0468695   84: -5.23886e-16   85: -0.149403   86: -2.71484e-16   89: 0.0903445   90: 3.46945e-18   163: 0.106321   164: 1.38778e-16   235: -5.72459e-17   236: -2.08167e-17   237: -5.55112e-17
Row 9:   8: -0.341759   9: 1.74315   10: -0.259596   24: -0.651696   25: -0.490101   81: -0.055818   82: 1.68268e-16   85: 0.112778   86: -3.1225e-17   87: -0.0349443   88: -1.26201e-16   89: -0.103699   90: -4.02456e-16   91: -0.0960639   92: -3.01842e-16   95: 0.0782102   96: -1.04083e-17   165: 0.0995372   166: 3.98986e-17   236: -3.81639e-17   238: -1.73472e-17   239: -3.1225e-17
Row 10:   9: -0.259596   10: 1.76903   11: -0.259654   25: -0.823099   26: -0.426681   87: -0.0694609   88: 1.64799e-16   91: 0.112727   92: -6.93889e-17   93: -0.0367441   94: -1.26635e-16   95: -0.0776353   96: -4.75314e-16   97: -0.110998   98: -2.91434e-16   101: 0.0800198   102: -1.38778e-17   171: 0.102092   172: 7.45931e-17   238: -4.33681e-17   240: -2.08167e-17   241: -4.51028e-17
Row 11:   2: -0.5   10: -0.259654   11: 1.96958   12: -0.139204   26: -1.07072   49: -7.63278e-17   50: 2.27249e-16   51: 0.0833333   52: 8.84709e-17   93: -0.0669124   94: 1.61329e-16   97: 0.110188   98: -6.245e-17   99: -0.194875   100: -3.11383e-16   101: -0.0664764   102: -5.72459e-16   105: 0.134742   106: -1.66533e-16   240: -4.16334e-17   242: 5.20417e-17   257: -6.245e-17
Row 12:   2: -0.5   11: -0.139204   12: 1.81482   13: -0.275945   26: -0.20179   27: -0.697885   49: 0.0833333   50: 9.02056e-17   51: 0   52: 1.72605e-16   99: -0.115666   100: 1.70653e-16   101: 0.0555335   102: -2.08167e-17   103: -0.0418546   104: -1.37911e-16   105: -0.0976603   106: -1.9906e-16   107: -0.0472897   108: -3.33175e-16   111: 0.0878455   112: -2.60209e-17   177: 0.0757584   178: -8.32667e-17   242: 3.46945e-18   243: -2.42861e-17   257: -2.08167e-17   258: 0
Row 13:   12: -0.275945   13: 1.79186   14: -0.426433   27: -0.746323   28: -0.343162   103: -0.0571403   104: 1.56559e-16   107: 0.103131   108: -4.85723e-17   109: -0.0399256   110: -1.9082e-16   111: -0.063259   112: -4.25007e-16   113: -0.138319   114: -2.98372e-16   117: 0.110998   118: 1.21431e-17   181: 0.084515   182: 8.84709e-17   243: -3.81639e-17   244: -2.08167e-17   245: -4.85723e-17
Row 14:   13: -0.426433   14: 1.77214   15: -0.271016   28: -0.405887   29: -0.668803   109: -0.0369995   110: 1.82146e-16   113: 0.108072   114: 1.04083e-17   115: -0.0450239   116: -1.45283e-16   117: -0.137515   118: -3.322e-16   119: -0.0758177   120: -3.56052e-16   121: 0.0901932   122: -2.42861e-17   185: 0.0970916   186: -1.9082e-17   244: -2.77556e-17   246: -3.1225e-17   247: -2.08167e-17
Row 15:   3: -0.164012   14: -0.271016   15: 1.81591   29: -0.463066   30: -0.917816   53: -0.0818566   54: 2.09902e-16   57: 0.109192   58: -5.72459e-17   115: -0.054447   116: 1.56559e-16   119: 0.0996163   120: -4.16334e-17   121: -0.116282   122: -3.47812e-16   123: -0.0500661   124: -4.43005e-16   193: 0.0938434   194: -4.0766e-17   246: -3.90313e-17   248: 6.59195e-17   249: -1.38778e-17
Row 16:   3: -0.157951   16: 1.82092   17: -0.237555   30: -0.936175   31: -0.489235   55: -0.0848367   56: 1.35308e-16   57: 0.111162   58: -1.07553e-16   125: -0.0553671   126: -1.40946e-16   127: -0.0524972   128: -4.83988e-16   129: -0.110785   130: -3.33934e-16   133: 0.0949597   134: -5.37764e-17   199: 0.0973645   200: 8.84709e-17   250: -5.46438e-17   251: -3.46945e-17   252: -3.81639e-17
Row 17:   16: -0.237555   17: 1.74436   18: -0.336551   31: -0.666886   32: -0.50337   125: -0.0500457   126: 1.37911e-16   129: 0.0896382   130: -3.98986e-17   131: -0.0444322   132: -1.73472e-16   133: -0.0790554   134: -3.92048e-16   135: -0.117194   136: -3.44343e-16   141: 0.100524   142: -1.21431e-17   201: 0.100565   202: 6.07153e-17   251: -3.72966e-17   253: -1.73472e-17   254: -3.46945e-17
Row 18:   17: -0.336551   18: 1.8616   19: -0.527472   20: -0.241774   32: -0.755808   131: -0.0442896   132: 1.67834e-16   135: 0.100381   136: -1.04083e-17   137: -0.015565   138: -2.06866e-16   139: -0.16959   140: -2.91434e-16   141: -0.0808224   142: -4.41487e-16   143: 0.103477   144: 6.59195e-17   147: 0.106409   148: -1.11022e-16   253: -3.46945e-17   255: -6.93889e-18   259: -4.85723e-17
Row 19:   0: -0.5   4: -0.180532   18: -0.527472   19: 1.89097   20: -0.682967   39: 0.0833333   40: 8.84709e-17   41: -2.08167e-17   42: 2.34188e-16   61: -0.143274   62: 3.26562e-16   63: 0.0900292   64: -2.77556e-17   137: -0.0538873   138: 2.498e-16   139: 0.141799   140: 1.38778e-17   143: -0.118001   144: -4.57967e-16   227: 5.89806e-17   255: -3.1225e-17   256: 5.37764e-17
Row 20:   4: -0.66944   5: -0.196284   18: -0.241774   19: -0.682967   20: 3.47846   21: -0.529072   32: -0.463883   34: -0.695042   59: 0.0680767   60: 4.33681e-17   61: 0.117043   62: -3.46945e-17   63: -0.0735467   64: 3.57353e-16   67: -0.106564   68: 2.63244e-16   69: 0.0712017   70: -3.29597e-17   137: 0.0694523   138: -4.25007e-17   139: -0.100166   140: 2.37223e-16   141: 0.0710095   142: -5.0307e-17   143: -0.0726677   144: 3.96384e-16   145: -0.0767684   146: -3.20056e-16   147: -0.0829105   148: -3.00975e-16   149: -0.0671198   150: -3.48679e-16   155: 0.0937453   156: -5.55112e-17   205: 0.0892148   206: -1.04083e-17   228: 3.81639e-17   230: 4.77049e-17   255: 4.33681e-17   256: -3.81639e-17   259: -2.90566e-17   261: -3.46945e-17   272: -1.38778e-17
Row 21:   5: -0.790007   6: -0.432048   20: -0.529072   21: 3.54163   22: -0.566892   33: -0.74118   34: -0.482434   65: 0.0866548   66: 9.54098e-18   67: 0.135646   68: 6.93889e-18   69: -0.0906326   70: 4.21538e-16   73: -0.0977964   74: 3.58654e-16   75: 0.0831496   76: -1.47451e-17   145: -0.135435   146: 3.62124e-16   149: 0.0879677   150: -4.68375e-17   151: -0.0896637   152: -3.4521e-16   153: -0.0733244   154: -3.80338e-16   155: -0.10342   156: -3.30465e-16   161: 0.100996   162: -4.68375e-17   209: 0.0958583   210: 2.60209e-17   229: 5.20417e-17   230: -3.64292e-17   232: 4.51028e-17   260: -2.42861e-17   261: -2.94903e-17   262: -1.04083e-17
Row 22:   6: -0.703548   7: -0.405418   21: -0.566892   22: 3.51389   23: -0.735409   24: -0.547842   33: -0.554777   71: 0.100304   72: 4.33681e-18   73: 0.113201   74: -1.38778e-17   75: -0.0962468   76: 4.05492e-16   77: -0.109466   78: 3.63858e-16   79: 0.0767314   80: -4.25007e-17   151: -0.107352   152: 3.39572e-16   153: 0.0886334   154: -2.42861e-17   157: -0.0570951   158: -3.70797e-16   159: -0.115471   160: -3.322e-16   161: -0.100017   162: -3.60822e-16   163: 0.102932   164: 8.67362e-18   167: 0.103846   168: -1.9082e-17   231: 6.76542e-17   232: -2.42861e-17   234: 3.81639e-17   260: -2.94903e-17   265: -2.08167e-17   266: -3.1225e-17
Row 23:   1: -0.43501   7: -0.955095   8: -1.05108   22: -0.735409   23: 3.76027   24: -0.583672   43: 0.120015   44: -1.00614e-16   45: 0.119157   46: -5.29091e-17   47: -0.166671   48: 3.93782e-16   77: 0.130977   78: -6.93889e-18   79: -0.0918101   80: 4.8312e-16   83: -0.0896687   84: 6.16694e-16   85: 0.145692   86: 4.51028e-17   157: -0.119279   158: 4.25875e-16   159: 0.11087   160: 0   163: -0.159283   164: -4.96998e-16   233: -6.245e-17   234: -3.81639e-17   235: 8.32667e-17   237: 8.67362e-17   265: -2.94903e-17
Row 24:   8: -0.283578   9: -0.651696   22: -0.547842   23: -0.583672   24: 3.42538   25: -0.432896   33: -0.399388   37: -0.526313   81: 0.0892028   82: -2.51535e-17   83: 0.0671272   84: -7.28584e-17   85: -0.109067   86: 2.67147e-16   89: -0.07836   90: 4.27176e-16   91: 0.0977732   92: 4.33681e-18   157: 0.0801216   158: -3.46945e-18   159: -0.0850449   160: 3.28296e-16   161: 0.0962304   162: -1.04083e-17   163: -0.0499701   164: 3.49547e-16   165: -0.0948866   166: -3.07913e-16   167: -0.100845   168: -2.94903e-16   169: -0.0527235   170: -2.74086e-16   175: 0.0692628   176: -4.16334e-17   211: 0.0711795   212: -6.93889e-18   236: 5.37764e-17   237: -3.07913e-17   239: 5.72459e-17   265: 5.0307e-17   266: -2.42861e-17   274: -2.08167e-17   275: -1.38778e-17
Row 25:   9: -0.490101   10: -0.823099   24: -0.432896   25: 3.58075   26: -0.51662   35: -0.398376   37: -0.919662   87: 0.104405   88: -3.55618e-17   89: 0.0917145   90: -2.42861e-17   91: -0.114436   92: 3.67761e-16   95: -0.080167   96: 5.20417e-16   97: 0.112945   98: 2.25514e-17   165: -0.130489   166: 3.18322e-16   169: 0.110924   170: -1.09288e-16   171: -0.110081   172: -3.66894e-16   173: -0.110408   174: -2.84495e-16   175: -0.0512114   176: -4.77049e-16   179: 0.0832393   180: -3.1225e-17   219: 0.0935649   220: -9.71445e-17   238: 6.245e-17   239: -2.94903e-17   241: 6.93889e-17   263: -2.42861e-17   274: -6.33174e-17   277: -4.51028e-17
Row 26:   10: -0.426681   11: -1.07072   12: -0.20179   25: -0.51662   26: 3.72303   27: -0.801924   35: -0.705295   93: 0.103656   94: -3.46945e-17   95: 0.0795922   96: -4.16334e-17   97: -0.112135   98: 3.2873e-16   99: 0.143875   100: 9.02056e-17   101: -0.0690769   102: 6.12357e-16   105: -0.201931   106: 4.26742e-16   107: 0.0916879   108: -9.80119e-17   171: -0.0969936   172: 3.10516e-16   173: 0.103505   174: -6.245e-17   177: -0.0562238   178: -4.00287e-16   179: -0.0841455   180: -4.05925e-16   183: 0.09819   184: -4.51028e-17   240: 6.07153e-17   241: -2.34188e-17   257: 8.67362e-17   258: 5.46438e-17   263: -3.81639e-17   264: -4.16334e-17
Row 27:   12: -0.697885   13: -0.746323   26: -0.801924   27: 3.70186   28: -0.78084   35: -0.674884   103: 0.0989949   104: -1.99493e-17   105: 0.164849   106: -7.63278e-17   107: -0.147529   108: 4.72712e-16   111: -0.110283   112: 5.3256e-16   113: 0.135675   114: -6.93889e-18   177: -0.120983   178: 4.68375e-16   179: 0.0897882   180: -2.94903e-17   181: -0.133204   182: -4.91794e-16   183: -0.104977   184: -4.2067e-16   187: 0.127669   188: -3.98986e-17   243: 6.245e-17   245: 8.67362e-17   258: -6.245e-17   264: -3.03577e-17   270: -3.81639e-17
Row 28:   13: -0.343162   14: -0.405887   27: -0.78084   28: 3.4438   29: -0.579412   35: -0.387095   36: -0.569649   38: -0.377753   109: 0.076925   110: 5.20417e-18   111: 0.0856965   112: -8.67362e-17   113: -0.105428   114: 2.89048e-16   117: -0.0904765   118: 3.40439e-16   119: 0.0811993   120: -1.9082e-17   181: -0.0397802   182: 3.5757e-16   183: 0.0842238   184: 3.1225e-17   185: -0.0751098   186: -3.3697e-16   187: -0.0901223   188: -2.8276e-16   189: -0.0805661   190: -3.13551e-16   191: -0.0924837   192: -2.57606e-16   197: 0.0904793   198: -2.08167e-17   221: 0.0704143   222: 4.16334e-17   223: 0.0850283   224: 0   244: 5.0307e-17   245: -4.72712e-17   247: 5.37764e-17   269: -2.42861e-17   270: -1.9082e-17   276: -1.73472e-17   282: -2.08167e-17
Row 29:   14: -0.668803   15: -0.463066   28: -0.579412   29: 3.51847   30: -0.682657   31: -0.574344   36: -0.550188   115: 0.0994709   116: -1.04083e-17   117: 0.116994   118: -1.38778e-17   119: -0.104998   120: 4.12431e-16   121: -0.101799   122: 3.85542e-16   123: 0.0795062   124: -3.55618e-17   185: -0.120582   186: 3.66027e-16   189: 0.100156   190: -4.16334e-17   193: -0.0557497   194: -3.61256e-16   195: -0.0945602   196: -3.20056e-16   197: -0.108723   198: -3.81639e-16   199: 0.0900197   200: 6.93889e-18   203: 0.100265   204: 5.20417e-18   246: 6.59195e-17   247: -3.1225e-17   249: 4.85723e-17   267: -2.08167e-17   268: -2.08167e-17   269: -3.46945e-17
Row 30:   3: -0.512921   15: -0.917816   16: -0.936175   29: -0.682657   30: 3.70011   31: -0.65054   53: 0.124963   54: -8.67362e-17   55: 0.127217   56: -3.29597e-17   57: -0.166693   58: 4.33247e-16   121: 0.127888   122: -1.73472e-17   123: -0.0998818   124: 4.80952e-16   127: -0.0945679   128: 5.85469e-16   129: 0.12338   130: 2.25514e-17   193: -0.127349   194: 4.19803e-16   195: 0.113237   196: -3.46945e-17   199: -0.128193   200: -4.91794e-16   248: -5.0307e-17   249: -3.46945e-17   250: 7.97973e-17   252: 6.93889e-17   267: -3.46945e-17
Row 31:   16: -0.489235   17: -0.666886   29: -0.574344   30: -0.65054   31: 3.50264   32: -0.54324   36: -0.578395   125: 0.105413   126: 2.60209e-18   127: 0.0783594   128: -5.55112e-17   129: -0.102233   130: 3.50848e-16   133: -0.100444   134: 4.72712e-16   135: 0.106179   136: 1.82146e-17   193: 0.0892549   194: -2.68882e-17   195: -0.102008   196: 3.6581e-16   197: 0.108477   198: -3.46945e-18   199: -0.059191   200: 3.86843e-16   201: -0.111729   202: -3.79037e-16   203: -0.108168   204: -3.82507e-16   207: 0.0960903   208: -3.64292e-17   251: 6.93889e-17   252: -3.16587e-17   254: 6.93889e-17   267: 5.55112e-17   268: -3.64292e-17   271: -2.08167e-17
Row 32:   17: -0.50337   18: -0.755808   20: -0.463883   31: -0.54324   32: 3.52106   34: -0.590839   36: -0.663921   131: 0.0887218   132: -8.67362e-19   133: 0.0845401   134: -3.29597e-17   135: -0.0893669   136: 3.35235e-16   139: 0.127957   140: 3.98986e-17   141: -0.090711   142: 5.01335e-16   147: -0.139279   148: 4.48426e-16   149: 0.0886357   150: -2.68882e-17   201: -0.0877797   202: 3.13985e-16   203: 0.0937796   204: -3.1225e-17   205: -0.0933717   206: -3.66894e-16   207: -0.0863352   208: -4.00721e-16   215: 0.103209   216: -6.245e-17   253: 5.20417e-17   254: -3.55618e-17   259: 7.63278e-17   271: -3.46945e-17   272: 5.55112e-17   273: -3.81639e-17
Row 33:   21: -0.74118   22: -0.554777   24: -0.399388   33: 3.5711   34: -0.567872   37: -0.917504   38: -0.390377   151: 0.100026   152: 1.56125e-17   153: -0.096241   154: 4.28043e-16   155: 0.119745   156: -1.38778e-17   159: 0.0896463   160: 1.12757e-17   161: -0.0972098   162: 4.21538e-16   167: -0.129815   168: 3.92048e-16   169: 0.106733   170: -6.07153e-17   209: -0.113287   210: -3.88578e-16   211: -0.0446607   212: -4.39102e-16   213: -0.11397   214: -2.59775e-16   217: 0.0881878   218: 2.42861e-17   225: 0.0908447   226: 4.68375e-17   260: 5.20417e-17   262: -4.16334e-17   266: 5.55112e-17   275: 6.41848e-17   278: -3.46945e-18   279: -3.1225e-17
Row 34:   20: -0.695042   21: -0.482434   32: -0.590839   33: -0.567872   34: 3.50498   36: -0.453329   38: -0.715467   145: 0.109543   146: 6.07153e-18   147: 0.11578   148: -3.81639e-17   149: -0.109484   150: 4.21104e-16   153: 0.080932   154: -2.51535e-17   155: -0.11007   156: 4.04624e-16   205: -0.100779   206: 3.56486e-16   207: 0.0834713   208: -2.08167e-17   209: -0.0852611   210: 4.04624e-16   213: 0.0989745   214: -1.12757e-17   215: -0.103379   216: -3.13985e-16   217: -0.0751922   218: -3.89445e-16   223: 0.0954622   224: -1.38778e-17   261: 6.245e-17   262: 5.20417e-17   272: -4.16334e-17   273: -2.42861e-17   279: 5.89806e-17   281: -1.73472e-17
Row 35:   25: -0.398376   26: -0.705295   27: -0.674884   28: -0.387095   35: 3.55956   37: -0.661211   38: -0.732703   171: 0.104983   172: -1.9082e-17   173: -0.118983   174: 3.33934e-16   175: 0.080396   176: -6.93889e-17   177: 0.101448   178: 1.56125e-17   179: -0.088882   180: 4.72278e-16   181: 0.0884695   182: 5.20417e-17   183: -0.077437   184: 4.44089e-16   187: -0.147633   188: 4.27176e-16   191: 0.123679   192: -4.16334e-17   219: -0.0644794   220: -3.747e-16   221: -0.0958469   222: -4.36717e-16   225: 0.0942853   226: 4.68375e-17   263: 5.89806e-17   264: 7.11237e-17   270: 5.55112e-17   277: -3.90313e-17   280: -2.77556e-17   282: 7.11237e-17
Row 36:   28: -0.569649   29: -0.550188   31: -0.578395   32: -0.663921   34: -0.453329   36: 3.48945   38: -0.673969   185: 0.0986001   186: -1.04083e-17   189: -0.1153   190: 3.8294e-16   191: 0.111641   192: -4.16334e-17   195: 0.0833311   196: -6.07153e-18   197: -0.0902331   198: 4.02456e-16   201: 0.0989443   202: 6.07153e-18   203: -0.0858763   204: 4.05058e-16   205: 0.104936   206: 1.73472e-17   207: -0.0932263   208: 4.64039e-16   215: -0.113503   216: 3.92481e-16   217: 0.0841228   218: -1.73472e-17   223: -0.083436   224: -4.19803e-16   268: 5.0307e-17   269: 5.55112e-17   271: 5.89806e-17   273: 6.245e-17   276: -4.16334e-17   281: 5.72459e-17
Row 37:   24: -0.526313   25: -0.919662   33: -0.917504   35: -0.661211   37: 3.69615   38: -0.671464   165: 0.125838   166: -4.51028e-17   167: 0.126814   168: -8.32667e-17   169: -0.164933   170: 4.44957e-16   173: 0.125886   174: 8.67362e-18   175: -0.0984473   176: 5.87204e-16   211: -0.106982   212: 4.87457e-16   213: 0.133086   214: -2.77556e-17   219: -0.120086   220: 5.03937e-16   221: 0.104402   222: 9.54098e-18   225: -0.125577   226: -4.80518e-16   274: 8.32667e-17   275: -5.37764e-17   277: 7.97973e-17   278: -3.1225e-17   280: 6.245e-17
Row 38:   28: -0.377753   33: -0.390377   34: -0.715467   35: -0.732703   36: -0.673969   37: -0.671464   38: 3.56173   187: 0.110086   188: -1.05818e-16   189: 0.0957097   190: -2.94903e-17   191: -0.142836   192: 3.4521e-16   209: 0.10269   210: -4.16334e-17   211: 0.0804635   212: -4.0766e-17   213: -0.118091   214: 3.06179e-16   215: 0.113673   216: -1.73472e-17   217: -0.0971183   218: 3.90746e-16   219: 0.0910005   220: -3.81639e-17   221: -0.0789689   222: 3.89012e-16   223: -0.0970544   224: 4.31079e-16   225: -0.0595534   226: 3.84241e-16   276: 6.07153e-17   278: 4.25007e-17   279: -3.46945e-17   280: -3.90313e-17   281: -4.16334e-17   282: -4.33681e-17
Row 39:   0: -0.0833333   4: 6.245e-17   19: 0.0833333   39: 0.0416667   40: 0.00416667   41: 3.46945e-18   42: 0.00416667   61: -0.0208333   62: 0.00833333   227: -0.00833333
Row 40:   0: -2.65413e-16   4: 1.74448e-16   19: 8.84709e-17   39: 0.00416667   40: 0.0138889   41: 0.00416667   42: -1.88109e-17   61: -0.00416667   62: 0.00277778   227: -0.00277778
Row 41:   0: -0.0833333   4: 0.0833333   19: -2.08167e-17   39: 3.46945e-18   40: 0.00416667   41: 0.0416667   42: 0.00416667   61: -0.0208333   62: -0.00833333   227: -0.00833333
Row 42:   0: -3.26128e-16   4: 9.36751e-17   19: 2.34188e-16   39: 0.00416667   40: -1.88109e-17   41: 0.00416667   42: 0.0138889   61: -0.00416667   62: -0.00277778   227: -0.00277778
Row 43:   1: -0.0360819   7: -0.0839333   23: 0.120015   43: 0.038161   44: -0.00239257   47: -0.0209833   48: 0.00582811   79: -0.00902048   80: 0.00343554   233: -0.0032629
Row 44:   1: -1.26635e-16   7: 2.27249e-16   23: -1.00614e-16   43: -0.00239257   44: 0.0112639   47: 0.00600076   48: -0.00279778   79: -0.00600076   80: 0.00120273   233: 0.00159504
Row 45:   1: -0.0364197   8: -0.0827377   23: 0.119157   45: 0.0380372   46: -0.0023159   47: -0.0206844   48: 0.00578645   83: -0.00910492   84: 0.00347055   235: -0.00329914
Row 46:   1: -1.04951e-16   8: 1.5439e-16   23: -5.29091e-17   45: -0.0023159   46: 0.011243   47: 0.00595787   48: -0.00275792   83: -0.00595787   84: 0.00121399   235: 0.00154393
Row 47:   1: -0.0656203   7: 0.116562   8: 0.115729   23: -0.166671   43: -0.0209833   44: 0.00600076   45: -0.0206844   46: 0.00595787   47: 0.0761982   48: -0.00505253   79: -0.00815724   80: -0.00343554   83: -0.00824784   84: -0.00347055   233: -0.00360819   235: -0.00364197
Row 48:   1: -2.42861e-16   7: -5.20417e-17   8: -1.00614e-16   23: 3.93782e-16   43: 0.00582811   44: -0.00279778   45: 0.00578645   46: -0.00275792   47: -0.00505253   48: 0.0227362   79: -0.00582811   80: -0.00108763   83: -0.00578645   84: -0.00109971   233: 0.00171014   235: 0.00165821
Row 49:   2: -0.0833333   11: -7.63278e-17   12: 0.0833333   49: 0.0416667   50: 0.00416667   51: -1.21431e-17   52: 0.00416667   99: -0.0208333   100: 0.00833333   242: -0.00833333
Row 50:   2: -3.19189e-16   11: 2.27249e-16   12: 9.02056e-17   49: 0.00416667   50: 0.0138889   51: 0.00416667   52: -2.05592e-17   99: -0.00416667   100: 0.00277778   242: -0.00277778
Row 51:   2: -0.0833333   11: 0.0833333   12: 0   49: -1.21431e-17   50: 0.00416667   51: 0.0416667   52: 0.00416667   99: -0.0208333   100: -0.00833333   242: -0.00833333
Row 52:   2: -2.61076e-16   11: 8.84709e-17   12: 1.72605e-16   49: 0.00416667   50: -2.05592e-17   51: 0.00416667   52: 0.0138889   99: -0.00416667   100: -0.00277778   242: -0.00277778
Row 53:   3: -0.0431063   15: -0.0818566   30: 0.124963   53: 0.0380746   54: -0.00193752   57: -0.0204642   58: 0.0054596   123: -0.0107766   124: 0.00352208   248: -0.00273354
Row 54:   3: -1.21431e-16   15: 2.09902e-16   30: -8.67362e-17   53: -0.00193752   54: 0.0110644   57: 0.00624815   58: -0.00272855   123: -0.00624815   124: 0.00143688   248: 0.00129168
Row 55:   3: -0.0423806   16: -0.0848367   30: 0.127217   55: 0.0383856   56: -0.00212281   57: -0.0212092   58: 0.00555809   127: -0.0105951   128: 0.00343529   250: -0.00263252
Row 56:   3: -1.01048e-16   16: 1.35308e-16   30: -3.29597e-17   55: -0.00212281   56: 0.0111137   57: 0.00636086   58: -0.00282789   127: -0.00636086   128: 0.00141269   250: 0.0014152
Row 57:   3: -0.0536605   15: 0.109192   16: 0.111162   30: -0.166693   53: -0.0204642   54: 0.00624815   55: -0.0212092   56: 0.00636086   57: 0.0764602   58: -0.00565164   123: -0.00683385   124: -0.00352208   127: -0.00658129   128: -0.00343529   248: -0.00431063   250: -0.00423806
Row 58:   3: -2.64545e-16   15: -5.72459e-17   16: -1.07553e-16   30: 4.33247e-16   53: 0.0054596   54: -0.00272855   55: 0.00555809   56: -0.00282789   57: -0.00565164   58: 0.0232389   123: -0.0054596   124: -0.000911179   127: -0.00555809   128: -0.000877506   248: 0.00181737   250: 0.00195038
Row 59:   4: -0.0544706   5: -0.0136061   20: 0.0680767   59: 0.0397998   60: 0.00204322   63: -0.00340152   64: 0.00523643   67: -0.0136176   68: 0.00727965   228: -0.00911225
Row 60:   4: -2.44596e-16   5: 2.04155e-16   20: 4.33681e-17   59: 0.00204322   60: 0.0136507   63: 0.00340383   64: -0.000453536   67: -0.00340383   68: 0.00181569   228: -0.00136215
Row 61:   0: 0.166667   4: -0.140436   19: -0.143274   20: 0.117043   39: -0.0208333   40: -0.00416667   41: -0.0208333   42: -0.00416667   61: 0.0784497   62: -0.000141891   63: -0.0149851   64: 0.00450146   143: -0.0142757   144: 0.00435957   227: -1.21431e-17   256: -0.00300887
Row 62:   0: -4.51028e-17   4: -2.42861e-16   19: 3.26562e-16   20: -3.46945e-17   39: 0.00833333   40: 0.00277778   41: -0.00833333   42: -0.00277778   61: -0.000141891   62: 0.0219229   63: 0.00585216   64: -0.00199802   143: -0.00585216   144: 0.00190342   227: 3.03577e-18   256: 9.45943e-05
Row 63:   4: -0.121211   5: 0.104729   19: 0.0900292   20: -0.0735467   59: -0.00340152   60: 0.00340383   61: -0.0149851   62: 0.00585216   63: 0.0765828   64: 0.00238322   67: -0.0227806   68: -0.00727965   143: -0.00752216   144: -0.00435957   228: -0.00544706   256: -0.00571027
Row 64:   4: -4.04624e-16   5: 7.63278e-17   19: -2.77556e-17   20: 3.57353e-16   59: 0.00523643   60: -0.000453536   61: 0.00450146   62: -0.00199802   63: 0.00238322   64: 0.0241412   67: -0.00523643   68: -0.00303742   143: -0.00450146   144: -0.00100296   228: -0.00258388   256: 0.000995064
Row 65:   5: -0.0481159   6: -0.0385388   21: 0.0866548   65: 0.0363487   66: 0.000478854   69: -0.00963471   70: 0.00486395   73: -0.012029   74: 0.0053428   229: -0.00587401
Row 66:   5: -1.71304e-16   6: 1.62197e-16   21: 9.54098e-18   65: 0.000478854   66: 0.011651   69: 0.00433274   70: -0.00128463   73: -0.00433274   74: 0.00160386   229: -0.000319236
Row 67:   4: 0.145593   5: -0.174674   20: -0.106564   21: 0.135646   59: -0.0136176   60: -0.00340383   63: -0.0227806   64: -0.00523643   67: 0.0784882   68: 0.0034055   69: -0.0130234   70: 0.00356008   145: -0.020888   146: 0.00513299   228: -0.00136061   230: -0.00191079
Row 68:   4: 1.73472e-18   5: -2.72352e-16   20: 2.63244e-16   21: 6.93889e-18   59: 0.00727965   60: 0.00181569   63: -0.00727965   64: -0.00303742   67: 0.0034055   68: 0.0220207   69: 0.00678229   70: -0.00173646   145: -0.00678229   146: 0.00278507   228: -0.00122173   230: -0.00104861
Row 69:   5: -0.0778481   6: 0.097279   20: 0.0712017   21: -0.0906326   65: -0.00963471   66: 0.00433274   67: -0.0130234   68: 0.00678229   69: 0.0750371   70: -0.000639229   73: -0.014685   74: -0.0053428   145: -0.00477698   146: -0.00513299   229: -0.00481159   230: -0.0083552
Row 70:   5: -3.80338e-16   6: 0   20: -3.29597e-17   21: 4.21538e-16   65: 0.00486395   66: -0.00128463   67: 0.00356008   68: -0.00173646   69: -0.000639229   70: 0.0243988   73: -0.00486395   74: -0.001958   145: -0.00356008   146: -0.000636931   229: -0.000673376   230: 0.00109953
Row 71:   6: -0.0537377   7: -0.0465664   22: 0.100304   71: 0.0361475   72: 0.000358567   75: -0.0116416   76: 0.00454262   77: -0.0134344   78: 0.00490119   231: -0.0044286
Row 72:   6: -1.4962e-16   7: 1.46584e-16   22: 4.33681e-18   71: 0.000358567   72: 0.0111155   75: 0.00501521   76: -0.00155221   77: -0.00501521   78: 0.00179126   231: -0.000239045
Row 73:   5: 0.106856   6: -0.12226   21: -0.0977964   22: 0.113201   65: -0.012029   66: -0.00433274   69: -0.014685   70: -0.00486395   73: 0.0730162   74: 0.0012232   75: -0.0124201   76: 0.00415748   151: -0.0158801   152: 0.00484947   229: -0.00385388   232: -0.00334691
Row 74:   5: -1.56125e-17   6: -3.31766e-16   21: 3.58654e-16   22: -1.38778e-17   65: 0.0053428   66: 0.00160386   69: -0.0053428   70: -0.001958   73: 0.0012232   74: 0.0218712   75: 0.00566003   76: -0.00165602   151: -0.00566003   152: 0.00211734   229: -0.000354141   232: -0.000461326
Row 75:   6: -0.0777552   7: 0.0908524   21: 0.0831496   22: -0.0962468   71: -0.0116416   72: 0.00501521   73: -0.0124201   74: 0.00566003   75: 0.072815   76: -0.000924583   77: -0.0110715   78: -0.00490119   151: -0.00836729   152: -0.00484947   231: -0.00537377   232: -0.00635202
Row 76:   6: -3.63425e-16   7: -3.1225e-17   21: -1.47451e-17   22: 4.05492e-16   71: 0.00454262   72: -0.00155221   73: 0.00415748   74: -0.00165602   75: -0.000924583   76: 0.0233259   77: -0.00454262   78: -0.0014762   151: -0.00415748   152: -0.00111564   231: 7.60118e-05   232: 0.000540377
Row 77:   6: 0.0980238   7: -0.119535   22: -0.109466   23: 0.130977   71: -0.0134344   72: -0.00501521   75: -0.0110715   76: -0.00454262   77: 0.0741427   78: 0.000503468   79: -0.013932   80: 0.00383657   157: -0.0188123   158: 0.00481262   231: -0.00465664   234: -0.00210032
Row 78:   6: -3.98986e-17   7: -3.17454e-16   22: 3.63858e-16   23: -6.93889e-18   71: 0.00490119   72: 0.00179126   75: -0.00490119   76: -0.0014762   77: 0.000503468   78: 0.0220237   79: 0.00654887   80: -0.00185761   157: -0.00654887   158: 0.00250831   231: 0.000315056   234: -0.000650702
Row 79:   1: 0.0687109   7: -0.0536322   22: 0.0767314   23: -0.0918101   43: -0.00902048   44: -0.00600076   47: -0.00815724   48: -0.00582811   77: -0.013932   78: 0.00654887   79: 0.0761562   80: -0.0019089   157: -0.0052508   158: -0.00481262   233: -0.00839333   234: -0.00752492
Row 80:   1: 1.38778e-17   7: -4.58618e-16   22: -4.25007e-17   23: 4.8312e-16   43: 0.00343554   44: 0.00120273   47: -0.00343554   48: -0.00108763   77: 0.00383657   78: -0.00185761   79: -0.0019089   80: 0.0256144   157: -0.00383657   158: -0.000700107   233: 0.000115099   234: 0.0011575
Row 81:   8: -0.0333848   9: -0.055818   24: 0.0892028   81: 0.0365406   82: -0.00112166   85: -0.0139545   86: 0.00563889   89: -0.00834619   90: 0.00451723   236: -0.00569598
Row 82:   8: -1.47885e-16   9: 1.68268e-16   24: -2.51535e-17   81: -0.00112166   82: 0.0116428   85: 0.00446014   86: -0.0018606   89: -0.00446014   90: 0.00111283   236: 0.000747776
Row 83:   1: 0.069411   8: -0.0468695   23: -0.0896687   24: 0.0671272   45: -0.00910492   46: -0.00595787   47: -0.00824784   48: -0.00578645   83: 0.0779298   84: -0.00213996   85: -0.0133123   86: 0.00728461   163: -0.00346954   164: 0.00531606   235: -0.00827377   237: -0.00924431
Row 84:   1: -2.42861e-17   8: -5.23886e-16   23: 6.16694e-16   24: -7.28584e-17   45: 0.00347055   46: 0.00121399   47: -0.00347055   48: -0.00109971   83: -0.00213996   84: 0.0266206   85: 0.00335636   86: -0.00177497   163: -0.00335636   164: 0.000462606   235: 0.000114276   237: 0.00131236
Row 85:   8: -0.149403   9: 0.112778   23: 0.145692   24: -0.109067   81: -0.0139545   82: 0.00446014   83: -0.0133123   84: 0.00335636   85: 0.0764332   86: 0.00201679   89: -0.0142399   90: -0.00451723   163: -0.0231108   164: -0.00531606   236: -0.00333848   237: -0.00138782
Row 86:   8: -2.71484e-16   9: -3.1225e-17   23: 4.51028e-17   24: 2.67147e-16   81: 0.00563889   82: -0.0018606   83: 0.00728461   84: -0.00177497   85: 0.00201679   86: 0.0219576   89: -0.00563889   90: -0.00189866   163: -0.00728461   164: -0.00308144   236: -3.80577e-05   237: -0.00130647
Row 87:   9: -0.0349443   10: -0.0694609   25: 0.104405   87: 0.0369178   88: -0.00172583   91: -0.0173652   92: 0.00563634   95: -0.00873607   96: 0.00391051   238: -0.00432659
Row 88:   9: -1.26201e-16   10: 1.64799e-16   25: -3.55618e-17   87: -0.00172583   88: 0.0112869   91: 0.00522026   92: -0.00231536   95: -0.00522026   96: 0.00116481   238: 0.00115055
Row 89:   8: 0.0903445   9: -0.103699   24: -0.07836   25: 0.0917145   81: -0.00834619   82: -0.00446014   85: -0.0142399   86: -0.00563889   89: 0.0726688   90: 0.00126695   91: -0.0112438   92: 0.00488866   165: -0.0116848   166: 0.00497686   236: -0.0055818   239: -0.00527979
Row 90:   8: 3.46945e-18   9: -4.02456e-16   24: 4.27176e-16   25: -2.42861e-17   81: 0.00451723   82: 0.00111283   85: -0.00451723   86: -0.00189866   89: 0.00126695   90: 0.0229989   91: 0.00458572   92: -0.00149918   165: -0.00458572   166: 0.00155797   236: -0.000785833   239: -5.87991e-05
Row 91:   9: -0.0960639   10: 0.112727   24: 0.0977732   25: -0.114436   87: -0.0173652   88: 0.00522026   89: -0.0112438   90: 0.00458572   91: 0.0730459   92: -0.000918614   95: -0.0108165   96: -0.00391051   165: -0.0131995   166: -0.00497686   238: -0.00349443   239: -0.00467392
Row 92:   9: -3.01842e-16   10: -6.93889e-17   24: 4.33681e-18   25: 3.67761e-16   87: 0.00563634   88: -0.00231536   89: 0.00488866   90: -0.00149918   91: -0.000918614   92: 0.0222017   95: -0.00563634   96: -0.0014422   165: -0.00488866   166: -0.00175993   238: 0.000873165   239: -0.000260756
Row 93:   10: -0.0367441   11: -0.0669124   26: 0.103656   93: 0.0367331   94: -0.00150842   97: -0.0167281   98: 0.00550941   101: -0.00918602   102: 0.00400099   240: -0.00432757
Row 94:   10: -1.26635e-16   11: 1.61329e-16   26: -3.46945e-17   93: -0.00150842   94: 0.011238   97: 0.00518282   98: -0.00223041   101: -0.00518282   102: 0.0012248   240: 0.00100561
Row 95:   9: 0.0782102   10: -0.0776353   25: -0.080167   26: 0.0795922   87: -0.00873607   88: -0.00522026   91: -0.0108165   92: -0.00563634   95: 0.0737464   96: -0.000126586   97: -0.0113057   98: 0.00564725   171: -0.00859235   172: 0.00510459   238: -0.00694609   241: -0.00677223
Row 96:   9: -1.04083e-17   10: -4.75314e-16   25: 5.20417e-16   26: -4.16334e-17   87: 0.00391051   88: 0.00116481   91: -0.00391051   92: -0.0014422   95: -0.000126586   96: 0.0242385   97: 0.00397961   98: -0.00150743   171: -0.00397961   172: 0.00114565   238: -0.000277388   241: 0.000361779
Row 97:   10: -0.110998   11: 0.110188   25: 0.112945   26: -0.112135   93: -0.0167281   94: 0.00518282   95: -0.0113057   96: 0.00397961   97: 0.0735617   98: -5.68542e-05   101: -0.0108189   102: -0.00400099   171: -0.0169306   172: -0.00510459   240: -0.00367441   241: -0.00343694
Row 98:   10: -2.91434e-16   11: -6.245e-17   25: 2.25514e-17   26: 3.2873e-16   93: 0.00550941   94: -0.00223041   95: 0.00564725   96: -0.00150743   97: -5.68542e-05   98: 0.0219869   101: -0.00550941   102: -0.00144252   171: -0.00564725   172: -0.00225741   240: 0.000787888   241: -0.000749985
Row 99:   2: 0.166667   11: -0.194875   12: -0.115666   26: 0.143875   49: -0.0208333   50: -0.00416667   51: -0.0208333   52: -0.00416667   99: 0.0834355   100: 0.00396045   101: -0.0080832   102: 0.00277667   105: -0.0278854   106: 0.00673712   242: -1.73472e-17   257: -0.00232007
Row 100:   2: 4.51028e-17   11: -3.11383e-16   12: 1.70653e-16   26: 9.02056e-17   49: 0.00833333   50: 0.00277778   51: -0.00833333   52: -0.00277778   99: 0.00396045   100: 0.0230228   101: 0.00719373   102: -0.00107776   105: -0.00719373   106: 0.00371806   242: -8.94467e-18   257: -0.0026403
Row 101:   10: 0.0800198   11: -0.0664764   12: 0.0555335   26: -0.0690769   93: -0.00918602   94: -0.00518282   97: -0.0108189   98: -0.00550941   99: -0.0080832   100: 0.00719373   101: 0.0785019   102: -0.000130021   105: -0.00580017   106: -0.00673712   240: -0.00669124   257: -0.0111542
Row 102:   10: -1.38778e-17   11: -5.72459e-16   12: -2.08167e-17   26: 6.12357e-16   93: 0.00400099   94: 0.0012248   97: -0.00400099   98: -0.00144252   99: 0.00277667   100: -0.00107776   101: -0.000130021   102: 0.0268823   105: -0.00277667   106: -0.000773357   240: -0.000217723   257: 0.000304404
Row 103:   12: -0.0418546   13: -0.0571403   27: 0.0989949   103: 0.0362464   104: -0.000764285   107: -0.0142851   108: 0.00515656   111: -0.0104636   112: 0.00439227   243: -0.00459909
Row 104:   12: -1.37911e-16   13: 1.56559e-16   27: -1.99493e-17   103: -0.000764285   104: 0.0111987   107: 0.00494974   108: -0.00190468   111: -0.00494974   112: 0.00139515   243: 0.000509523
Row 105:   11: 0.134742   12: -0.0976603   26: -0.201931   27: 0.164849   99: -0.0278854   100: -0.00719373   101: -0.00580017   102: -0.00277667   105: 0.0833057   106: -0.00521353   107: -0.0225973   108: 0.0045844   177: -0.0186149   178: 0.00378792   257: -0.00323328   258: -0.000129884
Row 106:   11: -1.66533e-16   12: -1.9906e-16   26: 4.26742e-16   27: -7.63278e-17   99: 0.00673712   100: 0.00371806   101: -0.00673712   102: -0.000773357   105: -0.00521353   106: 0.0233359   107: 0.00824243   108: -0.00301297   177: -0.00824243   178: 0.00248199   257: 0.0029447   258: 0.000530983
Row 107:   12: -0.0472897   13: 0.103131   26: 0.0916879   27: -0.147529   103: -0.0142851   104: 0.00494974   105: -0.0225973   106: 0.00824243   107: 0.0777833   108: -0.00501198   111: -0.0114977   112: -0.00439227   177: -0.00032471   178: -0.00378792   243: -0.00418546   258: -0.00744596
Row 108:   12: -3.33175e-16   13: -4.85723e-17   26: -9.80119e-17   27: 4.72712e-16   103: 0.00515656   104: -0.00190468   105: 0.0045844   106: -0.00301297   107: -0.00501198   108: 0.0246194   111: -0.00515656   112: -0.00153303   177: -0.0045844   178: -4.32947e-05   243: 0.000371647   258: 0.00296967
Row 109:   13: -0.0399256   14: -0.0369995   28: 0.076925   109: 0.0369993   110: 0.000146305   113: -0.00924986   114: 0.00540358   117: -0.00998139   118: 0.00554988   244: -0.00710721
Row 110:   13: -1.9082e-16   14: 1.82146e-16   28: 5.20417e-18   109: 0.000146305   110: 0.0122355   113: 0.00384625   114: -0.00123332   117: -0.00384625   118: 0.00133085   244: -9.75367e-05
Row 111:   12: 0.0878455   13: -0.063259   27: -0.110283   28: 0.0856965   103: -0.0104636   104: -0.00494974   107: -0.0114977   108: -0.00515656   111: 0.0744823   112: -0.00235119   113: -0.0171071   114: 0.00678375   181: -0.00431704   182: 0.00422575   243: -0.00571403   245: -0.00672468
Row 112:   12: -2.60209e-17   13: -4.25007e-16   27: 5.3256e-16   28: -8.67362e-17   103: 0.00439227   104: 0.00139515   107: -0.00439227   108: -0.00153303   111: -0.00235119   112: 0.0240082   113: 0.00428482   114: -0.00228094   181: -0.00428482   182: 0.000575606   243: -0.000137876   245: 0.00170534
Row 113:   13: -0.138319   14: 0.108072   27: 0.135675   28: -0.105428   109: -0.00924986   110: 0.00384625   111: -0.0171071   112: 0.00428482   113: 0.0752351   114: 0.00164456   117: -0.017768   118: -0.00554988   181: -0.0168117   182: -0.00422575   244: -0.00399256   245: -0.00172682
Row 114:   13: -2.98372e-16   14: 1.04083e-17   27: -6.93889e-18   28: 2.89048e-16   109: 0.00540358   110: -0.00123332   111: 0.00678375   112: -0.00228094   113: 0.00164456   114: 0.0219691   117: -0.00540358   118: -0.00236907   181: -0.00678375   182: -0.00224156   244: -0.00113575   245: 3.93827e-05
Row 115:   14: -0.0450239   15: -0.054447   29: 0.0994709   115: 0.03616   116: -0.000471156   119: -0.0136117   120: 0.00498081   121: -0.011256   122: 0.00450966   246: -0.00451693
Row 116:   14: -1.45283e-16   15: 1.56559e-16   29: -1.04083e-17   115: -0.000471156   116: 0.0111483   119: 0.00497354   120: -0.0018149   121: -0.00497354   122: 0.0015008   246: 0.000314104
Row 117:   13: 0.110998   14: -0.137515   28: -0.0904765   29: 0.116994   109: -0.00998139   110: -0.00384625   113: -0.017768   114: -0.00540358   117: 0.0739099   118: 0.00235194   119: -0.0126377   120: 0.00405996   185: -0.0166108   186: 0.00485458   244: -0.00369995   247: -0.00306484
Row 118:   13: 1.21431e-17   14: -3.322e-16   28: 3.40439e-16   29: -1.38778e-17   109: 0.00554988   110: 0.00133085   113: -0.00554988   114: -0.00236907   117: 0.00235194   118: 0.0219642   119: 0.00584971   120: -0.00168503   185: -0.00584971   186: 0.00221477   244: -0.00103822   247: -0.000529744
Row 119:   14: -0.0758177   15: 0.0996163   28: 0.0811993   29: -0.104998   115: -0.0136117   116: 0.00497354   117: -0.0126377   118: 0.00584971   119: 0.0730707   120: -0.00145901   121: -0.0112923   122: -0.00450966   185: -0.00766209   186: -0.00485458   246: -0.00450239   247: -0.00664432
Row 120:   14: -3.56052e-16   15: -4.16334e-17   28: -1.9082e-17   29: 4.12431e-16   115: 0.00498081   116: -0.0018149   117: 0.00405996   118: -0.00168503   119: -0.00145901   120: 0.0232011   121: -0.00498081   122: -0.00150564   185: -0.00405996   186: -0.00102161   246: 0.000309257   247: 0.000663418
Row 121:   14: 0.0901932   15: -0.116282   29: -0.101799   30: 0.127888   115: -0.011256   116: -0.00497354   119: -0.0112923   120: -0.00498081   121: 0.0738148   122: 0.000724129   123: -0.0141939   124: 0.00397531   193: -0.0177782   194: 0.00469217   246: -0.0054447   249: -0.00227307
Row 122:   14: -2.42861e-17   15: -3.47812e-16   29: 3.85542e-16   30: -1.73472e-17   115: 0.00450966   116: 0.0015008   119: -0.00450966   120: -0.00150564   121: 0.000724129   122: 0.0222565   123: 0.00639441   124: -0.00189252   193: -0.00639441   194: 0.00237042   246: -4.84675e-06   249: -0.000477906
Row 123:   3: 0.0704417   15: -0.0500661   29: 0.0795062   30: -0.0998818   53: -0.0107766   54: -0.00624815   57: -0.00683385   58: -0.0054596   121: -0.0141939   122: 0.00639441   123: 0.0757293   124: -0.00249078   193: -0.00568268   194: -0.00469217   248: -0.00818566   249: -0.00711126
Row 124:   3: -5.20417e-18   15: -4.43005e-16   29: -3.55618e-17   30: 4.80952e-16   53: 0.00352208   54: 0.00143688   57: -0.00352208   58: -0.000911179   121: 0.00397531   122: -0.00189252   123: -0.00249078   124: 0.0252935   193: -0.00397531   194: -0.000757691   248: 0.000525697   249: 0.00113482
Row 125:   16: -0.0553671   17: -0.0500457   31: 0.105413   125: 0.0362513   126: 0.000266072   129: -0.0125114   130: 0.00448191   133: -0.0138418   134: 0.00474798   251: -0.00395926
Row 126:   16: -1.40946e-16   17: 1.37911e-16   31: 2.60209e-18   125: 0.000266072   126: 0.0109868   129: 0.00527064   130: -0.00166819   133: -0.00527064   134: 0.00184557   251: -0.000177381
Row 127:   3: 0.0687058   16: -0.0524972   30: -0.0945679   31: 0.0783594   55: -0.0105951   56: -0.00636086   57: -0.00658129   58: -0.00555809   127: 0.0757736   128: -0.00210354   129: -0.0130468   130: 0.00616899   199: -0.00654301   200: 0.00486822   250: -0.00848367   252: -0.00711925
Row 128:   3: -4.51028e-17   16: -4.83988e-16   30: 5.85469e-16   31: -5.55112e-17   55: 0.00343529   56: 0.00141269   57: -0.00343529   58: -0.000877506   127: -0.00210354   128: 0.0254073   129: 0.00391797   130: -0.00173958   199: -0.00391797   200: 0.000872401   250: 0.000535181   252: 0.000867177
Row 129:   16: -0.110785   17: 0.0896382   30: 0.12338   31: -0.102233   125: -0.0125114   126: 0.00527064   127: -0.0130468   128: 0.00391797   129: 0.0736393   130: 0.000427601   133: -0.00989814   134: -0.00474798   199: -0.0177981   200: -0.00486822   251: -0.00553671   252: -0.0026172
Row 130:   16: -3.33934e-16   17: -3.98986e-17   30: 2.25514e-17   31: 3.50848e-16   125: 0.00448191   126: -0.00166819   127: 0.00616899   128: -0.00173958   129: 0.000427601   130: 0.0223551   133: -0.00448191   134: -0.00131975   199: -0.00616899   200: -0.00237308   251: 0.000348436   252: -0.000633504
Row 131:   17: -0.0444322   18: -0.0442896   32: 0.0887218   131: 0.0362034   132: 7.127e-06   135: -0.0110724   136: 0.00501907   141: -0.011108   142: 0.0050262   253: -0.00560918
Row 132:   17: -1.73472e-16   18: 1.67834e-16   32: -8.67362e-19   131: 7.127e-06   132: 0.011524   135: 0.00443609   136: -0.00147632   141: -0.00443609   142: 0.00148107   253: -4.75133e-06
Row 133:   16: 0.0949597   17: -0.0790554   31: -0.100444   32: 0.0845401   125: -0.0138418   126: -0.00527064   129: -0.00989814   130: -0.00448191   133: 0.0726619   134: -0.00106945   135: -0.0112693   136: 0.00530896   201: -0.0098657   202: 0.00502824   251: -0.00500457   254: -0.0061102
Row 134:   16: -5.37764e-17   17: -3.92048e-16   31: 4.72712e-16   32: -3.29597e-17   125: 0.00474798   126: 0.00184557   129: -0.00474798   130: -0.00131975   133: -0.00106945   134: 0.0230814   135: 0.00422701   136: -0.00150258   201: -0.00422701   202: 0.00131543   251: 0.000525817   254: 0.00018715
Row 135:   17: -0.117194   18: 0.100381   31: 0.106179   32: -0.0893669   131: -0.0110724   132: 0.00443609   133: -0.0112693   134: 0.00422701   135: 0.0726139   136: 0.00139134   141: -0.0140229   142: -0.0050262   201: -0.0152755   202: -0.00502824   253: -0.00444322   254: -0.00394628
Row 136:   17: -3.44343e-16   18: -1.04083e-17   31: 1.82146e-17   32: 3.35235e-16   131: 0.00501907   132: -0.00147632   133: 0.00530896   134: -0.00150258   135: 0.00139134   136: 0.0221602   141: -0.00501907   142: -0.00186973   201: -0.00530896   202: -0.00203673   253: -0.000393405   254: -0.000534155
Row 137:   18: -0.015565   19: -0.0538873   20: 0.0694523   137: 0.0393411   138: -0.00191612   139: -0.0134718   140: 0.00708997   143: -0.00389124   144: 0.00517385   255: -0.0087912
Row 138:   18: -2.06866e-16   19: 2.498e-16   20: -4.25007e-17   137: -0.00191612   138: 0.0134214   139: 0.00347261   140: -0.00179624   143: -0.00347261   144: 0.000518832   255: 0.00127741
Row 139:   18: -0.16959   19: 0.141799   20: -0.100166   32: 0.127957   137: -0.0134718   138: 0.00347261   139: 0.077513   140: 0.00347121   141: -0.0115697   142: 0.00355047   143: -0.021978   144: -0.00517385   147: -0.0204196   148: 0.00532045   255: -0.0015565   259: -0.00247306
Row 140:   18: -2.91434e-16   19: 1.38778e-17   20: 2.37223e-16   32: 3.98986e-17   137: 0.00708997   138: -0.00179624   139: 0.00347121   140: 0.0220133   141: 0.00639786   142: -0.00154263   143: -0.00708997   144: -0.0029304   147: -0.00639786   148: 0.00272261   255: -0.00113416   259: -0.00117998
Row 141:   17: 0.100524   18: -0.0808224   20: 0.0710095   32: -0.090711   131: -0.011108   132: -0.00443609   135: -0.0140229   136: -0.00501907   139: -0.0115697   140: 0.00639786   141: 0.0743753   142: -0.000494432   147: -0.00618266   148: -0.00532045   253: -0.00442896   259: -0.00816784
Row 142:   17: -1.21431e-17   18: -4.41487e-16   20: -5.0307e-17   32: 5.01335e-16   131: 0.0050262   132: 0.00148107   135: -0.0050262   136: -0.00186973   139: 0.00355047   140: -0.00154263   141: -0.000494432   142: 0.0240324   147: -0.00355047   148: -0.000824354   253: -0.000388653   259: 0.000718274
Row 143:   4: 0.0871914   18: 0.103477   19: -0.118001   20: -0.0726677   61: -0.0142757   62: -0.00585216   63: -0.00752216   64: -0.00450146   137: -0.00389124   138: -0.00347261   139: -0.021978   140: -0.00708997   143: 0.0761241   144: 0.00226665   255: -0.00538873   256: -0.00599406
Row 144:   4: -1.12757e-17   18: 6.59195e-17   19: -4.57967e-16   20: 3.96384e-16   61: 0.00435957   62: 0.00190342   63: -0.00435957   64: -0.00100296   137: 0.00517385   138: 0.000518832   139: -0.00517385   140: -0.0029304   143: 0.00226665   144: 0.024094   255: -0.00241157   256: 0.000900469
Row 145:   5: 0.10266   20: -0.0767684   21: -0.135435   34: 0.109543   67: -0.020888   68: -0.00678229   69: -0.00477698   70: -0.00356008   145: 0.0750955   146: -0.00293332   149: -0.0129707   150: 0.00439839   155: -0.0144151   156: 0.00468726   230: -0.00520938   261: -0.00360848
Row 146:   5: -5.37764e-17   20: -3.20056e-16   21: 3.62124e-16   34: 6.07153e-18   67: 0.00513299   68: 0.00278507   69: -0.00513299   70: -0.000636931   145: -0.00293332   146: 0.0229647   149: 0.00547717   150: -0.00172943   155: -0.00547717   156: 0.00192202   230: 0.00214813   261: -0.000192585
Row 147:   18: 0.106409   20: -0.0829105   32: -0.139279   34: 0.11578   139: -0.0204196   140: -0.00639786   141: -0.00618266   142: -0.00355047   147: 0.0748758   148: -0.00281843   149: -0.0144002   150: 0.00443178   205: -0.014545   206: 0.00446074   259: -0.00462789   272: -0.0031035
Row 148:   18: -1.11022e-16   20: -3.00975e-16   32: 4.48426e-16   34: -3.81639e-17   139: 0.00532045   140: 0.00272261   141: -0.00532045   142: -0.000824354   147: -0.00281843   148: 0.022544   149: 0.00578902   150: -0.00192002   205: -0.00578902   206: 0.00193933   259: 0.00189826   272: -1.93049e-05
Row 149:   20: -0.0671198   21: 0.0879677   32: 0.0886357   34: -0.109484   145: -0.0129707   146: 0.00547717   147: -0.0144002   148: 0.00578902   149: 0.0731109   150: -0.00211819   155: -0.0090212   156: -0.00468726   205: -0.00775875   206: -0.00446074   261: -0.00576605   272: -0.00581798
Row 150:   20: -3.48679e-16   21: -4.68375e-17   32: -2.68882e-17   34: 4.21104e-16   145: 0.00439839   146: -0.00172943   147: 0.00443178   148: -0.00192002   149: -0.00211819   150: 0.0233576   155: -0.00439839   156: -0.00120283   205: -0.00443178   206: -0.0010345   261: 0.000526603   272: 0.000885523
Row 151:   6: 0.0969894   21: -0.0896637   22: -0.107352   33: 0.100026   73: -0.0158801   74: -0.00566003   75: -0.00836729   76: -0.00415748   151: 0.0728744   152: -0.00088442   153: -0.010958   154: 0.00443167   161: -0.0140486   162: 0.0050498   232: -0.00496805   260: -0.00448015
Row 152:   6: -1.21431e-17   21: -3.4521e-16   22: 3.39572e-16   33: 1.56125e-17   73: 0.00484947   74: 0.00211734   75: -0.00484947   76: -0.00111564   151: -0.00088442   152: 0.0225826   153: 0.00500132   154: -0.00146106   161: -0.00500132   162: 0.00187315   232: 0.0010017   260: -0.00041209
Row 153:   21: -0.0733244   22: 0.0886334   33: -0.096241   34: 0.080932   151: -0.010958   152: 0.00500132   153: 0.0732738   154: -0.00114583   155: -0.0131023   156: 0.00598723   161: -0.0112004   162: -0.0050498   209: -0.00713071   210: 0.00479291   260: -0.00561945   262: -0.00673354
Row 154:   21: -3.80338e-16   22: -2.42861e-17   33: 4.28043e-16   34: -2.51535e-17   151: 0.00443167   152: -0.00146106   153: -0.00114583   154: 0.0236574   155: 0.0040466   156: -0.00174697   161: -0.00443167   162: -0.00149338   209: -0.0040466   210: 0.000950761   260: -3.23229e-05   262: 0.00079621
Row 155:   20: 0.0937453   21: -0.10342   33: 0.119745   34: -0.11007   145: -0.0144151   146: -0.00547717   149: -0.0090212   150: -0.00439839   153: -0.0131023   154: 0.0040466   155: 0.0734739   156: -0.000332468   209: -0.0168339   210: -0.00479291   261: -0.00518829   262: -0.00285228
Row 156:   20: -5.55112e-17   21: -3.30465e-16   33: -1.38778e-17   34: 4.04624e-16   145: 0.00468726   146: 0.00192202   149: -0.00468726   150: -0.00120283   153: 0.00598723   154: -0.00174697   155: -0.000332468   156: 0.0222732   209: -0.00598723   210: -0.00224451   261: 0.000719188   262: -0.000497543
Row 157:   7: 0.0962524   22: -0.0570951   23: -0.119279   24: 0.0801216   77: -0.0188123   78: -0.00654887   79: -0.0052508   80: -0.00383657   157: 0.0747355   158: -0.00310918   159: -0.0110074   160: 0.00554349   163: -0.00902298   164: 0.0051466   234: -0.00557282   265: -0.00668401
Row 158:   7: -4.94396e-17   22: -3.70797e-16   23: 4.25875e-16   24: -3.46945e-18   77: 0.00481262   78: 0.00250831   79: -0.00481262   80: -0.000700107   157: -0.00310918   158: 0.0240151   159: 0.00400608   160: -0.00146765   163: -0.00400608   164: 0.00120306   234: 0.0018082   265: 0.00026459
Row 159:   22: -0.115471   23: 0.11087   24: -0.0850449   33: 0.0896463   157: -0.0110074   158: 0.00400608   159: 0.0729558   160: 0.00152131   161: -0.0102538   162: 0.00481152   163: -0.01671   164: -0.0051466   167: -0.0121577   168: 0.00519231   265: -0.00360919   266: -0.00552151
Row 160:   22: -3.322e-16   23: 0   24: 3.28296e-16   33: 1.12757e-17   157: 0.00554349   158: -0.00146765   159: 0.00152131   160: 0.0224984   161: 0.00448231   162: -0.00136718   163: -0.00554349   164: -0.002228   167: -0.00448231   168: 0.00162103   265: -0.000760348   266: -0.000253856
Row 161:   21: 0.100996   22: -0.100017   24: 0.0962304   33: -0.0972098   151: -0.0140486   152: -0.00500132   153: -0.0112004   154: -0.00443167   159: -0.0102538   160: 0.00448231   161: 0.0724223   162: 0.000140342   167: -0.0138038   168: -0.00519231   260: -0.00438318   266: -0.0048631
Row 162:   21: -4.68375e-17   22: -3.60822e-16   24: -1.04083e-17   33: 4.21538e-16   151: 0.0050498   152: 0.00187315   153: -0.0050498   154: -0.00149338   159: 0.00481152   160: -0.00136718   161: 0.000140342   162: 0.0223947   167: -0.00481152   168: -0.0018405   260: 0.000379767   266: -0.000473328
Row 163:   8: 0.106321   22: 0.102932   23: -0.159283   24: -0.0499701   83: -0.00346954   84: -0.00335636   85: -0.0231108   86: -0.00728461   157: -0.00902298   158: -0.00400608   159: -0.01671   160: -0.00554349   163: 0.076633   164: 0.00546565   237: -0.0053249   265: -0.00440296
Row 164:   8: 1.38778e-16   22: 8.67362e-18   23: -4.96998e-16   24: 3.49547e-16   83: 0.00531606   84: 0.000462606   85: -0.00531606   86: -0.00308144   157: 0.0051466   158: 0.00120306   159: -0.0051466   160: -0.002228   163: 0.00546565   164: 0.0236781   237: -0.00261883   265: -0.00102494
Row 165:   9: 0.0995372   24: -0.0948866   25: -0.130489   37: 0.125838   89: -0.0116848   90: -0.00458572   91: -0.0131995   92: -0.00488866   165: 0.0743812   166: -0.0017801   169: -0.0209374   170: 0.00554618   175: -0.0105222   176: 0.00346314   239: -0.00449753   274: -0.00271741
Row 166:   9: 3.98986e-17   24: -3.07913e-16   25: 3.18322e-16   37: -4.51028e-17   89: 0.00497686   90: 0.00155797   91: -0.00497686   92: -0.00175993   165: -0.0017801   166: 0.02224   169: 0.0062919   170: -0.00279165   175: -0.0062919   176: 0.00140296   239: -0.000201957   274: 0.00138869
Row 167:   22: 0.103846   24: -0.100845   33: -0.129815   37: 0.126814   159: -0.0121577   160: -0.00448231   161: -0.0138038   162: -0.00481152   167: 0.0743062   168: -0.00144848   169: -0.020296   170: 0.00533666   211: -0.0114075   212: 0.00355897   266: -0.00410153   275: -0.00255494
Row 168:   22: -1.9082e-17   24: -2.94903e-16   33: 3.92048e-16   37: -8.32667e-17   159: 0.00519231   160: 0.00162103   161: -0.00519231   162: -0.0018405   167: -0.00144848   168: 0.0220338   169: 0.0063407   170: -0.00270613   211: -0.0063407   212: 0.001521   266: -0.000219472   275: 0.00118513
Row 169:   24: -0.0527235   25: 0.110924   33: 0.106733   37: -0.164933   165: -0.0209374   166: 0.0062919   167: -0.020296   168: 0.0063407   169: 0.0763439   170: -0.00561049   175: -0.00679354   176: -0.00346314   211: -0.00638735   212: -0.00355897   274: -0.00420887   275: -0.00456301
Row 170:   24: -2.74086e-16   25: -1.09288e-16   33: -6.07153e-17   37: 4.44957e-16   165: 0.00554618   166: -0.00279165   167: 0.00533666   168: -0.00270613   169: -0.00561049   170: 0.0232823   175: -0.00554618   176: -0.000905805   211: -0.00533666   212: -0.000851647   274: 0.00188584   275: 0.00185448
Row 171:   10: 0.102092   25: -0.110081   26: -0.0969936   35: 0.104983   95: -0.00859235   96: -0.00397961   97: -0.0169306   98: -0.00564725   171: 0.0732945   172: 0.000654374   173: -0.0156561   174: 0.00517524   179: -0.0105897   180: 0.00416196   241: -0.00452228   263: -0.00408805
Row 172:   10: 7.45931e-17   25: -3.66894e-16   26: 3.10516e-16   35: -1.9082e-17   95: 0.00510459   96: 0.00114565   97: -0.00510459   98: -0.00225741   171: 0.000654374   172: 0.0224153   173: 0.00524915   174: -0.00208747   179: -0.00524915   180: 0.00141196   241: -0.00111176   263: 0.000675515
Row 173:   25: -0.110408   26: 0.103505   35: -0.118983   37: 0.125886   171: -0.0156561   172: 0.00524915   173: 0.0739468   174: -0.000428741   175: -0.0140897   176: 0.0040198   179: -0.0102201   180: -0.00416196   219: -0.0173819   220: 0.00467824   263: -0.00423588   277: -0.00240373
Row 174:   25: -2.84495e-16   26: -6.245e-17   35: 3.33934e-16   37: 8.67362e-18   171: 0.00517524   172: -0.00208747   173: -0.000428741   174: 0.0219323   175: 0.00629431   176: -0.00187862   179: -0.00517524   180: -0.00136268   219: -0.00629431   220: 0.00231759   263: 0.000724791   277: -0.000438963
Row 175:   24: 0.0692628   25: -0.0512114   35: 0.080396   37: -0.0984473   165: -0.0105222   166: -0.0062919   169: -0.00679354   170: -0.00554618   173: -0.0140897   174: 0.00629431   175: 0.0757339   176: -0.0023618   219: -0.00600932   220: -0.00467824   274: -0.00837494   277: -0.00695276
Row 176:   24: -4.16334e-17   25: -4.77049e-16   35: -6.93889e-17   37: 5.87204e-16   165: 0.00346314   166: 0.00140296   169: -0.00346314   170: -0.000905805   173: 0.0040198   174: -0.00187862   175: -0.0023618   176: 0.0253049   219: -0.0040198   220: -0.000801243   274: 0.000497151   277: 0.00107738
Row 177:   12: 0.0757584   26: -0.0562238   27: -0.120983   35: 0.101448   105: -0.0186149   106: -0.00824243   107: -0.00032471   108: -0.0045844   177: 0.0777152   178: -0.00323795   179: -0.0116308   180: 0.00448941   183: -0.0137312   184: 0.0049095   258: -0.00903891   264: -0.0043265
Row 178:   12: -8.32667e-17   26: -4.00287e-16   27: 4.68375e-16   35: 1.56125e-17   105: 0.00378792   106: 0.00248199   107: -0.00378792   108: -4.32947e-05   177: -0.00323795   178: 0.0251792   179: 0.00507241   180: -0.00155077   183: -0.00507241   184: 0.00183083   258: 0.00243869   264: -0.000280057
Row 179:   25: 0.0832393   26: -0.0841455   27: 0.0897882   35: -0.088882   171: -0.0105897   172: -0.00524915   173: -0.0102201   174: -0.00517524   177: -0.0116308   178: 0.00507241   179: 0.0726442   180: -0.000236827   183: -0.0108162   184: -0.0049095   263: -0.00626242   264: -0.0054925
Row 180:   25: -3.1225e-17   26: -4.05925e-16   27: -2.94903e-17   35: 4.72278e-16   171: 0.00416196   172: 0.00141196   173: -0.00416196   174: -0.00136268   177: 0.00448941   178: -0.00155077   179: -0.000236827   180: 0.0232901   183: -0.00448941   184: -0.00144217   263: 4.92762e-05   264: 0.000108608
Row 181:   13: 0.084515   27: -0.133204   28: -0.0397802   35: 0.0884695   111: -0.00431704   112: -0.00428482   113: -0.0168117   114: -0.00678375   181: 0.0757811   182: 0.0046712   183: -0.00562801   184: 0.00421119   187: -0.0164894   188: 0.00638346   245: -0.00684283   270: -0.00617118
Row 182:   13: 8.84709e-17   27: -4.91794e-16   28: 3.5757e-16   35: 5.20417e-17   111: 0.00422575   112: 0.000575606   113: -0.00422575   114: -0.00224156   181: 0.0046712   182: 0.0245463   183: 0.00442347   184: -0.000750401   187: -0.00442347   188: 0.00219858   245: -0.00166595   270: -0.00144818
Row 183:   26: 0.09819   27: -0.104977   28: 0.0842238   35: -0.077437   177: -0.0137312   178: -0.00507241   179: -0.0108162   180: -0.00448941   181: -0.00562801   182: 0.00442347   183: 0.0737236   184: 0.00137699   187: -0.0154279   188: -0.00638346   264: -0.00465232   270: -0.00659575
Row 184:   26: -4.51028e-17   27: -4.2067e-16   28: 3.1225e-17   35: 4.44089e-16   177: 0.0049095   178: 0.00183083   179: -0.0049095   180: -0.00144217   181: 0.00421119   182: -0.000750401   183: 0.00137699   184: 0.023409   187: -0.00421119   188: -0.00205706   264: 0.000388666   270: -0.00130666
Row 185:   14: 0.0970916   28: -0.0751098   29: -0.120582   36: 0.0986001   117: -0.0166108   118: -0.00584971   119: -0.00766209   120: -0.00405996   185: 0.0730651   186: -0.0022736   189: -0.0135347   190: 0.00500782   197: -0.0111154   198: 0.00452397   247: -0.00505509   269: -0.00460178
Row 186:   14: -1.9082e-17   28: -3.3697e-16   29: 3.66027e-16   36: -1.04083e-17   117: 0.00485458   118: 0.00221477   119: -0.00485458   120: -0.00102161   185: -0.0022736   186: 0.022703   189: 0.00493   190: -0.00180462   197: -0.00493   198: 0.00148205   247: 0.00119316   269: 0.000322571
Row 187:   27: 0.127669   28: -0.0901223   35: -0.147633   38: 0.110086   181: -0.0164894   182: -0.00442347   183: -0.0154279   184: -0.00421119   187: 0.0755677   188: -0.00287551   191: -0.0204188   192: 0.00618394   221: -0.00710264   222: 0.00352072   270: -0.0022512   282: -0.00420037
Row 188:   27: -3.98986e-17   28: -2.8276e-16   35: 4.27176e-16   38: -1.05818e-16   181: 0.00638346   182: 0.00219858   183: -0.00638346   184: -0.00205706   187: -0.00287551   188: 0.0223019   191: 0.00550428   192: -0.0027225   221: -0.00550428   222: 0.000947019   270: 0.000141523   282: 0.00177548
Row 189:   28: -0.0805661   29: 0.100156   36: -0.1153   38: 0.0957097   185: -0.0135347   186: 0.00493   189: 0.0727019   190: -0.00173669   191: -0.0152903   192: 0.00558207   197: -0.0115045   198: -0.00452397   223: -0.00863707   224: 0.00425141   269: -0.00444615   276: -0.005048
Row 190:   28: -3.13551e-16   29: -4.16334e-17   36: 3.8294e-16   38: -2.94903e-17   185: 0.00500782   186: -0.00180462   189: -0.00173669   190: 0.0225519   191: 0.00478548   192: -0.00203871   197: -0.00500782   198: -0.00153393   223: -0.00478548   224: 0.00115161   269: 0.000270693   276: 0.000887104
Row 191:   28: -0.0924837   35: 0.123679   36: 0.111641   38: -0.142836   187: -0.0204188   188: 0.00550428   189: -0.0152903   190: 0.00478548   191: 0.0745698   192: -0.00251764   221: -0.0105009   222: -0.00352072   223: -0.01262   224: -0.00425141   276: -0.00345483   282: -0.00284106
Row 192:   28: -2.57606e-16   35: -4.16334e-17   36: -4.16334e-17   38: 3.4521e-16   187: 0.00618394   188: -0.0027225   189: 0.00558207   190: -0.00203871   191: -0.00251764   192: 0.0219839   221: -0.00618394   222: -0.00140012   223: -0.00558207   224: -0.00168267   276: 0.000356047   282: 0.00132238
Row 193:   15: 0.0938434   29: -0.0557497   30: -0.127349   31: 0.0892549   121: -0.0177782   122: -0.00639441   123: -0.00568268   124: -0.00397531   193: 0.0742186   194: -0.00357994   195: -0.014059   196: 0.00566183   199: -0.00825474   200: 0.00450098   249: -0.00567755   267: -0.00570007
Row 194:   15: -4.0766e-17   29: -3.61256e-16   30: 4.19803e-16   31: -2.68882e-17   121: 0.00469217   122: 0.00237042   123: -0.00469217   124: -0.000757691   193: -0.00357994   194: 0.0235842   195: 0.00446274   196: -0.00187453   199: -0.00446274   200: 0.00110063   249: 0.00161273   267: 0.0007739
Row 195:   29: -0.0945602   30: 0.113237   31: -0.102008   36: 0.0833311   193: -0.014059   194: 0.00446274   195: 0.073073   196: -0.000372371   197: -0.0114429   198: 0.00542384   199: -0.0142502   200: -0.00450098   203: -0.00938986   204: 0.00501323   267: -0.00330189   268: -0.00627051
Row 196:   29: -3.20056e-16   30: -3.46945e-17   31: 3.6581e-16   36: -6.07153e-18   193: 0.00566183   194: -0.00187453   195: -0.000372371   196: 0.0226769   197: 0.00416656   198: -0.00152572   199: -0.00566183   200: -0.00190002   203: -0.00416656   204: 0.00125198   267: -2.54929e-05   268: 0.00027374
Row 197:   28: 0.0904793   29: -0.108723   31: 0.108477   36: -0.0902331   185: -0.0111154   186: -0.00493   189: -0.0115045   190: -0.00500782   195: -0.0114429   196: 0.00416656   197: 0.0726635   198: 0.00092449   203: -0.0156763   204: -0.00501323   268: -0.00375595   269: -0.00541386
Row 198:   28: -2.08167e-17   29: -3.81639e-16   31: -3.46945e-18   36: 4.02456e-16   185: 0.00452397   186: 0.00148205   189: -0.00452397   190: -0.00153393   195: 0.00542384   196: -0.00152572   197: 0.00092449   198: 0.0224335   203: -0.00542384   204: -0.00209017   268: -0.000564448   269: -5.18783e-05
Row 199:   16: 0.0973645   29: 0.0900197   30: -0.128193   31: -0.059191   127: -0.00654301   128: -0.00391797   129: -0.0177981   130: -0.00616899   193: -0.00825474   194: -0.00446274   195: -0.0142502   196: -0.00566183   199: 0.0739519   200: 0.00345011   252: -0.00521873   267: -0.00562359
Row 200:   16: 8.84709e-17   29: 6.93889e-18   30: -4.91794e-16   31: 3.86843e-16   127: 0.00486822   128: 0.000872401   129: -0.00486822   130: -0.00237308   193: 0.00450098   194: 0.00110063   195: -0.00450098   196: -0.00190002   199: 0.00345011   200: 0.0233346   252: -0.00150068   267: -0.000799393
Row 201:   17: 0.100565   31: -0.111729   32: -0.0877797   36: 0.0989443   133: -0.0098657   134: -0.00422701   135: -0.0152755   136: -0.00530896   201: 0.0725123   202: 0.00119749   203: -0.0120792   204: 0.00468898   207: -0.0126569   208: 0.00480451   254: -0.00450773   271: -0.00454628
Row 202:   17: 6.07153e-17   31: -3.79037e-16   32: 3.13985e-16   36: 6.07153e-18   133: 0.00502824   134: 0.00131543   135: -0.00502824   136: -0.00203673   201: 0.00119749   202: 0.0223546   203: 0.00494722   204: -0.00161056   207: -0.00494722   208: 0.00168758   254: -0.000721305   271: -7.70213e-05
Row 203:   29: 0.100265   31: -0.108168   32: 0.0937796   36: -0.0858763   195: -0.00938986   196: -0.00416656   197: -0.0156763   198: -0.00542384   201: -0.0120792   202: 0.00494722   203: 0.0726108   204: 0.00111458   207: -0.0113657   208: -0.00480451   268: -0.00457717   271: -0.00506275
Row 204:   29: 5.20417e-18   31: -3.82507e-16   32: -3.1225e-17   36: 4.05058e-16   195: 0.00501323   196: 0.00125198   197: -0.00501323   198: -0.00209017   201: 0.00468898   202: -0.00161056   203: 0.00111458   204: 0.0225762   207: -0.00468898   208: -0.00151543   268: -0.000838188   271: 9.51364e-05
Row 205:   20: 0.0892148   32: -0.0933717   34: -0.100779   36: 0.104936   147: -0.014545   148: -0.00578902   149: -0.00775875   150: -0.00443178   205: 0.0731559   206: -0.000370348   207: -0.0106497   208: 0.00417357   215: -0.0155842   216: 0.00516046   272: -0.00576007   273: -0.00408725
Row 206:   20: -1.04083e-17   32: -3.66894e-16   34: 3.56486e-16   36: 1.73472e-17   147: 0.00446074   148: 0.00193933   149: -0.00446074   150: -0.0010345   205: -0.000370348   206: 0.0227907   207: 0.00524678   208: -0.00141996   215: -0.00524678   216: 0.00207789   272: 0.000904828   273: -0.000657929
Row 207:   31: 0.0960903   32: -0.0863352   34: 0.0834713   36: -0.0932263   201: -0.0126569   202: -0.00494722   203: -0.0113657   204: -0.00468898   205: -0.0106497   206: 0.00524678   207: 0.0725538   208: -0.000344554   215: -0.0102181   216: -0.00516046   271: -0.00483169   273: -0.00623367
Row 208:   31: -3.64292e-17   32: -4.00721e-16   34: -2.08167e-17   36: 4.64039e-16   201: 0.00480451   202: 0.00168758   203: -0.00480451   204: -0.00151543   205: 0.00417357   206: -0.00141996   207: -0.000344554   208: 0.0230361   215: -0.00417357   216: -0.00136242   271: 0.000172158   273: 5.75446e-05
Row 209:   21: 0.0958583   33: -0.113287   34: -0.0852611   38: 0.10269   153: -0.00713071   154: -0.0040466   155: -0.0168339   156: -0.00598723   209: 0.0732984   210: 0.0014013   213: -0.0141846   214: 0.00494872   217: -0.0114879   218: 0.00440939   262: -0.00524091   279: -0.00422362
Row 210:   21: 2.60209e-17   33: -3.88578e-16   34: 4.04624e-16   38: -4.16334e-17   153: 0.00479291   154: 0.000950761   155: -0.00479291   156: -0.00224451   209: 0.0014013   210: 0.0227011   213: 0.00513449   214: -0.00189128   217: -0.00513449   218: 0.00153172   262: -0.00129375   279: 0.000359555
Row 211:   24: 0.0711795   33: -0.0446607   37: -0.106982   38: 0.0804635   167: -0.0114075   168: -0.0063407   169: -0.00638735   170: -0.00533666   211: 0.0761401   212: -0.00311608   213: -0.0153381   214: 0.00665429   225: -0.00477781   226: 0.00454223   275: -0.00811839   278: -0.00717334
Row 212:   24: -6.93889e-18   33: -4.39102e-16   37: 4.87457e-16   38: -4.0766e-17   167: 0.00355897   168: 0.001521   169: -0.00355897   170: -0.000851647   211: -0.00311608   212: 0.0254013   213: 0.00402318   214: -0.00204508   225: -0.00402318   226: 0.000637042   275: 0.000669356   278: 0.00140803
Row 213:   33: -0.11397   34: 0.0989745   37: 0.133086   38: -0.118091   209: -0.0141846   210: 0.00513449   211: -0.0153381   212: 0.00402318   213: 0.0742808   214: -0.000206044   217: -0.0105591   218: -0.00440939   225: -0.0179334   226: -0.00454223   278: -0.00191113   279: -0.00459516
Row 214:   33: -2.59775e-16   34: -1.12757e-17   37: -2.77556e-17   38: 3.06179e-16   209: 0.00494872   210: -0.00189128   211: 0.00665429   212: -0.00204508   213: -0.000206044   214: 0.021977   217: -0.00494872   218: -0.00140787   225: -0.00665429   226: -0.00239111   278: -0.000346039   279: 0.000483401
Row 215:   32: 0.103209   34: -0.103379   36: -0.113503   38: 0.113673   205: -0.0155842   206: -0.00524678   207: -0.0102181   208: -0.00417357   215: 0.0731092   216: -0.000506239   217: -0.0127917   218: 0.00420614   223: -0.0156265   224: 0.00477311   273: -0.00425988   281: -0.0032956
Row 216:   32: -6.245e-17   34: -3.13985e-16   36: 3.92481e-16   38: -1.73472e-17   205: 0.00516046   206: 0.00207789   207: -0.00516046   208: -0.00136242   215: -0.000506239   216: 0.0220143   217: 0.00568365   218: -0.00170556   223: -0.00568365   224: 0.00208354   273: 0.000715473   281: -0.000377981
Row 217:   33: 0.0881878   34: -0.0751922   36: 0.0841228   38: -0.0971183   209: -0.0114879   210: -0.00513449   213: -0.0105591   214: -0.00494872   215: -0.0127917   216: 0.00568365   217: 0.0728888   218: -0.00109631   223: -0.00823901   224: -0.00477311   279: -0.00567383   281: -0.00625062
Row 218:   33: 2.42861e-17   34: -3.89445e-16   36: -1.73472e-17   38: 3.90746e-16   209: 0.00440939   210: 0.00153172   213: -0.00440939   214: -0.00140787   215: 0.00420614   216: -0.00170556   217: -0.00109631   218: 0.0234118   223: -0.00420614   224: -0.00109853   279: 0.000123846   281: 0.000607024
Row 219:   25: 0.0935649   35: -0.0644794   37: -0.120086   38: 0.0910005   173: -0.0173819   174: -0.00629431   175: -0.00600932   176: -0.0040198   219: 0.0736918   220: -0.00278032   221: -0.0126396   222: 0.00522008   225: -0.0101105   226: 0.00471427   277: -0.00563587   280: -0.00538432
Row 220:   25: -9.71445e-17   35: -3.747e-16   37: 5.03937e-16   38: -3.81639e-17   173: 0.00467824   174: 0.00231759   175: -0.00467824   176: -0.000801243   219: -0.00278032   220: 0.0233245   221: 0.00455002   222: -0.00168528   225: -0.00455002   226: 0.00134807   277: 0.00151634   280: 0.000337206
Row 221:   28: 0.0704143   35: -0.0958469   37: 0.104402   38: -0.0789689   187: -0.00710264   188: -0.00550428   191: -0.0105009   192: -0.00618394   219: -0.0126396   220: 0.00455002   221: 0.0742333   222: 0.000843901   225: -0.0134608   226: -0.00471427   280: -0.00404422   282: -0.00816751
Row 222:   28: 4.16334e-17   35: -4.36717e-16   37: 9.54098e-18   38: 3.89012e-16   187: 0.00352072   188: 0.000947019   191: -0.00352072   192: -0.00140012   219: 0.00522008   220: -0.00168528   221: 0.000843901   222: 0.0238661   225: -0.00522008   226: -0.00179477   280: -0.000109495   282: -0.000453106
Row 223:   28: 0.0850283   34: 0.0954622   36: -0.083436   38: -0.0970544   189: -0.00863707   190: -0.00478548   191: -0.01262   192: -0.00558207   215: -0.0156265   216: -0.00568365   217: -0.00823901   218: -0.00420614   223: 0.0732047   224: -0.000680921   276: -0.00611614   281: -0.00511667
Row 224:   28: 0   34: -1.38778e-17   36: -4.19803e-16   38: 4.31079e-16   189: 0.00425141   190: 0.00115161   191: -0.00425141   192: -0.00168267   215: 0.00477311   216: 0.00208354   217: -0.00477311   218: -0.00109853   223: -0.000680921   224: 0.0232655   276: -0.000531057   281: 0.000985004
Row 225:   33: 0.0908447   35: 0.0942853   37: -0.125577   38: -0.0595534   211: -0.00477781   212: -0.00402318   213: -0.0179334   214: -0.00665429   219: -0.0101105   220: -0.00455002   221: -0.0134608   222: -0.00522008   225: 0.0742602   226: 0.00330116   278: -0.00613523   280: -0.00505583
Row 226:   33: 4.68375e-17   35: 4.68375e-17   37: -4.80518e-16   38: 3.84241e-16   211: 0.00454223   212: 0.000637042   213: -0.00454223   214: -0.00239111   219: 0.00471427   220: 0.00134807   221: -0.00471427   222: -0.00179477   225: 0.00330116   226: 0.0235331   278: -0.00175407   280: -0.000446701
Row 227:   0: -5.55112e-17   4: -3.46945e-18   19: 5.89806e-17   39: -0.00833333   40: -0.00277778   41: -0.00833333   42: -0.00277778   61: -1.21431e-17   62: 3.03577e-18   227: 0.0111111
Row 228:   4: -3.46945e-17   5: -3.46945e-18   20: 3.81639e-17   59: -0.00911225   60: -0.00136215   63: -0.00544706   64: -0.00258388   67: -0.00136061   68: -0.00122173   228: 0.0106133
Row 229:   5: -3.1225e-17   6: -2.25514e-17   21: 5.20417e-17   65: -0.00587401   66: -0.000319236   69: -0.00481159   70: -0.000673376   73: -0.00385388   74: -0.000354141   229: 0.00969299
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Row 280:   35: -2.77556e-17   37: 6.245e-17   38: -3.90313e-17   219: -0.00538432   220: 0.000337206   221: -0.00404422   222: -0.000109495   225: -0.00505583   226: -0.000446701   280: 0.00965625
Row 281:   34: -1.73472e-17   36: 5.72459e-17   38: -4.16334e-17   215: -0.0032956   216: -0.000377981   217: -0.00625062   218: 0.000607024   223: -0.00511667   224: 0.000985004   281: 0.00977526
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Solve the problem:

[6]:

gfu = GridFunction(fes)
gfu.vec.data = a.mat.Inverse(fes.FreeDofs()) * f.vec


Plot the solution:

[7]:

Draw (gfu, mesh);

[8]:

Draw (-grad(gfu), mesh, "Flux", vectors= { "grid_size" : 40});


Calculate error:

[9]:

exact = 16*x*(1-x)*y*(1-y)
print ("L2-error:", sqrt(Integrate((gfu-exact)**2, mesh)))

L2-error: 5.579392445191469e-05

[ ]: