# Poisson EquationΒΆ

Import Netgen/NGSolve Python modules:

[1]:

from ngsolve import *
from netgen.geom2d import unit_square
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)

[2]:




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()

[4]:

<ngsolve.comp.LinearForm at 0x7fc47a744870>

[5]:

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

 0.0196267
0.0333126
0.0196267
0.0433846
0.146631
0.184224
0.16284
0.0983461
0.109782
0.165562
0.145332
0.120123
0.173598
0.167877
0.160981
0.101885
0.0989101
0.149865
0.106049
0.237564
0.521936
0.471778
0.3658
0.179703
0.453931
0.384979
0.3514
0.299894
0.562364
0.288019
0.267072
0.292004
0.602323
0.510805
0.630746
0.443202
0.651561
0.363596
0.580035
-0.00291556
-0.000294603
-0.00291556
-0.000294603
-0.00231
-0.000198487
-0.00231596
-0.000199009
-0.00525822
-0.000608129
-0.00291556
-0.000294603
-0.00291556
-0.000294603
-0.00300609
-0.000239028
-0.00286328
-0.00022738
-0.00699052
-0.000830729
-0.00661909
-0.00014782
-0.0117768
-9.11698e-06
-0.0165745
-0.000843295
-0.00693552
-1.50779e-06
-0.0168513
-0.000434664
-0.0170316
-0.000550894
-0.00540328
0.000117989
-0.0156321
-0.000510807
-0.0139485
-0.000351003
-0.0105115
-0.000518351
-0.0073879
-0.000200135
-0.00621815
-0.000132097
-0.00796559
-0.000210396
-0.0122011
-0.000637841
-0.00595972
2.78178e-06
-0.0155545
-0.000448092
-0.0148867
-0.000439575
-0.00506439
0.000117413
-0.0135989
-0.000411478
-0.0126213
-0.000255901
-0.0101499
-1.1649e-05
-0.0126511
-0.000576456
-0.00518374
-0.000113613
-0.0141971
-0.000598136
-0.0126216
-0.000579972
-0.00804058
-2.46491e-07
-0.0133433
-0.000322222
-0.0167055
-0.000592141
-0.0047944
0.000105177
-0.0162476
-0.000578077
-0.0123991
-0.000287325
-0.00996168
-0.000467008
-0.00877148
-0.00032584
-0.00447098
-9.68339e-05
-0.00868865
-0.000321431
-0.0097451
-0.000455592
-0.00669875
6.06964e-06
-0.012404
-0.000289275
-0.0149711
-0.000472715
-0.00598009
0.000114702
-0.0144809
-0.000496364
-0.0220088
-0.00100887
-0.0197325
-0.00100168
-0.0217173
-0.000148799
-0.0266416
-0.000161154
-0.0247628
-0.000449916
-0.0176556
0.000137511
-0.0210423
-0.000214828
-0.0237996
-0.000273084
-0.011522
0.000287366
-0.0171382
-5.79516e-05
-0.0199408
-0.000359426
-0.012329
-0.000353497
-0.0172205
-2.77756e-05
-0.0199105
-0.000289746
-0.01795
-0.000247019
-0.0159776
0.000158215
-0.0170631
-0.000165312
-0.016668
-0.000208922
-0.0149459
-5.93886e-05
-0.016321
-0.000320701
-0.0169128
-0.000194444
-0.0165198
-0.000256412
-0.0176602
0.000218522
-0.0211365
-8.67344e-05
-0.0243191
-0.000117415
-0.0262624
-0.000298929
-0.0128546
0.00017503
-0.0186835
-0.000328354
-0.0126436
-0.000170493
-0.0160126
-0.000487473
-0.0186918
-0.000167086
-0.019035
-0.000335758
-0.0277425
-0.000347377
-0.0261184
-0.00022758
-0.024179
-2.78833e-05
-0.0193458
1.24489e-05
-0.0223349
-8.85885e-05
-0.0291662
0.000105471
-0.0266254
-7.2382e-05
-0.0174129
-4.86411e-05
-0.0215786
-0.000161396
-0.028065
-0.000183837
-0.0190265
-8.76566e-05
0.00130032
0.00289319
0.00299255
0.00379766
0.00235285
0.00320883
0.00109095
0.00182221
0.00109378
0.00273244
0.00208932
0.00255227
0.0034128
0.00217845
0.00284745
0.00130032
0.00225267
0.00349556
0.00309067
0.0020775
0.00289812
0.00145549
0.00192326
0.00138593
0.00193629
0.0019775
0.00288274
0.00304228
0.00265313
0.00356509
0.00279114
0.00289336
0.00537462
0.00380521
0.00485749
0.00459381
0.00352434
0.00297876
0.00275185
0.00412189
0.00325631
0.00310167
0.00411929
0.00359272
0.00440621
0.00500557
0.00604259
0.00339588
0.00381059
0.0032554
0.00503507
0.0055608
0.00387671
0.00487464
0.00561167
0.00369455

Row 0:   0: 1   4: -0.5   19: -0.5   39: -0.0833333   40: -2.61943e-16   41: -0.0833333   42: -3.19189e-16   61: 0.166667   62: -4.16334e-17   227: -4.85723e-17
Row 1:   1: 0.828441   7: -0.208968   8: -0.209694   23: -0.40978   43: -0.0340869   44: -1.2837e-16   45: -0.0342097   46: -1.06685e-16   47: -0.069777   48: -2.40693e-16   79: 0.0689149   80: 2.1684e-17   83: 0.0691587   84: -1.9082e-17   233: -1.9082e-17   235: -1.73472e-17
Row 2:   2: 1   11: -0.5   12: -0.5   49: -0.0833333   50: -3.19189e-16   51: -0.0833333   52: -2.70617e-16   99: 0.166667   100: 4.16334e-17   242: -4.85723e-17
Row 3:   3: 0.870927   15: -0.344377   16: -0.336878   30: -0.189673   53: -0.0173948   54: -1.80411e-16   55: -0.0142173   56: -1.31188e-16   57: -0.113542   58: -1.99493e-16   123: 0.074791   124: 7.63278e-17   127: 0.0703636   128: 3.81639e-17   248: -3.46945e-17   250: -8.67362e-18
Row 4:   0: -0.5   4: 1.88347   5: -0.397227   19: -0.177276   20: -0.808965   39: 0   40: 1.76942e-16   41: 0.0833333   42: 9.71445e-17   59: -0.0535736   60: -1.95156e-16   61: -0.164587   62: -2.55872e-16   63: -0.0957505   64: -4.17635e-16   67: 0.119778   68: -1.9082e-17   141: 0.1108   142: -3.81639e-17   227: 0   228: -3.1225e-17   256: -1.73472e-17
Row 5:   4: -0.397227   5: 1.77564   6: -0.326749   20: -0.345183   21: -0.706484   59: -0.028366   60: 1.66317e-16   63: 0.0945705   64: 2.42861e-17   65: -0.0526905   66: -1.65666e-16   67: -0.131261   68: -3.0401e-16   69: -0.0836226   70: -3.77736e-16   73: 0.107149   74: -2.94903e-17   145: 0.0942211   146: -1.9082e-17   228: -1.9082e-17   229: -3.1225e-17   230: -2.08167e-17
Row 6:   5: -0.326749   6: 1.7517   7: -0.273913   21: -0.432506   22: -0.718531   65: -0.0380314   66: 1.5439e-16   69: 0.0924896   70: -3.46945e-18   71: -0.0573097   72: -1.62197e-16   73: -0.116904   74: -3.25261e-16   75: -0.0797051   76: -3.71665e-16   77: 0.102962   78: -4.51028e-17   151: 0.0964985   152: -1.73472e-17   229: -2.77556e-17   231: -3.46945e-17   232: -1.04083e-17
Row 7:   1: -0.208968   6: -0.273913   7: 1.82559   22: -0.374026   23: -0.968685   43: -0.0835417   44: 2.32453e-16   47: 0.11837   48: -5.11743e-17   71: -0.0420363   72: 1.4615e-16   75: 0.0876885   76: -1.73472e-17   77: -0.123558   78: -3.10516e-16   79: -0.0551294   80: -4.76182e-16   157: 0.0982072   158: -5.11743e-17   231: -2.60209e-17   233: 7.97973e-17   234: -6.93889e-18
Row 8:   1: -0.209694   8: 1.8809   9: -0.350939   23: -1.05698   24: -0.263291   45: -0.0831255   46: 1.56125e-16   47: 0.118074   48: -1.00614e-16   81: -0.0322109   82: -1.61329e-16   83: -0.0466199   84: -5.25621e-16   85: -0.151527   86: -2.77556e-16   89: 0.0907008   90: 1.21431e-17   163: 0.104708   164: 1.38778e-16   235: -5.07407e-17   236: -1.73472e-17   237: -5.89806e-17
Row 9:   8: -0.350939   9: 1.74429   10: -0.262838   24: -0.64648   25: -0.484029   81: -0.0557926   82: 1.83881e-16   85: 0.114282   86: -2.77556e-17   87: -0.0342301   88: -1.29237e-16   89: -0.104931   90: -4.15466e-16   91: -0.0957605   92: -3.01842e-16   95: 0.0780365   96: -1.04083e-17   165: 0.0983955   166: 3.46945e-17   236: -3.81639e-17   238: -2.08167e-17   239: -3.81639e-17
Row 10:   9: -0.262838   10: 1.77715   11: -0.267845   25: -0.84644   26: -0.400025   87: -0.0697744   88: 1.65666e-16   91: 0.113581   92: -6.93889e-17   93: -0.0327463   94: -1.26201e-16   95: -0.0777309   96: -4.66641e-16   97: -0.11594   98: -2.83627e-16   101: 0.0773871   102: -6.93889e-18   171: 0.105223   172: 7.80626e-17   238: -4.77049e-17   240: -2.08167e-17   241: -3.46945e-17
Row 11:   2: -0.5   10: -0.267845   11: 1.9829   12: -0.115438   26: -1.09961   49: -6.93889e-17   50: 2.28983e-16   51: 0.0833333   52: 8.67362e-17   93: -0.0708467   94: 1.65666e-16   97: 0.115488   98: -7.28584e-17   99: -0.195755   100: -3.04444e-16   101: -0.0638806   102: -5.75928e-16   105: 0.131662   106: -1.63064e-16   240: -4.42354e-17   242: 5.20417e-17   257: -6.93889e-17
Row 12:   2: -0.5   11: -0.115438   12: 1.81266   13: -0.253469   26: -0.239874   27: -0.703881   49: 0.0833333   50: 9.36751e-17   51: 3.46945e-18   52: 1.8323e-16   99: -0.11965   100: 1.70003e-16   101: 0.0555561   102: -3.81639e-17   103: -0.0432149   104: -1.31405e-16   105: -0.0933383   106: -2.13371e-16   107: -0.0459076   108: -3.18972e-16   111: 0.0854598   112: -2.25514e-17   177: 0.0777613   178: -7.28584e-17   242: -3.46945e-18   243: -2.42861e-17   257: -2.94903e-17   258: -6.93889e-18
Row 13:   12: -0.253469   13: 1.79007   14: -0.404897   27: -0.775929   28: -0.355771   103: -0.0598976   104: 1.44849e-16   107: 0.102142   108: -5.55112e-17   109: -0.0406718   110: -1.83447e-16   111: -0.0608683   112: -4.22405e-16   113: -0.136907   114: -3.06179e-16   117: 0.108155   118: 3.46945e-18   181: 0.0880473   182: 9.19403e-17   243: -3.81639e-17   244: -2.77556e-17   245: -4.16334e-17
Row 14:   13: -0.404897   14: 1.83152   15: -0.218833   28: -0.309609   29: -0.898185   109: -0.0388314   110: 1.82363e-16   113: 0.106314   114: 1.04083e-17   115: -0.0683139   116: -1.45717e-16   117: -0.148866   118: -3.0748e-16   119: -0.0492423   120: -4.21104e-16   121: 0.104786   122: -7.63278e-17   185: 0.0941536   186: -7.28584e-17   244: -2.94903e-17   246: -4.16334e-17   247: -3.46945e-18
Row 15:   3: -0.344377   14: -0.218833   15: 1.78023   29: -0.432178   30: -0.784846   53: -0.0795022   54: 2.93168e-16   57: 0.136898   58: -2.08167e-17   115: -0.0424951   116: 1.18829e-16   119: 0.0789672   120: -3.1225e-17   121: -0.0877775   122: -2.91434e-16   123: -0.0869308   124: -4.50594e-16   193: 0.0808401   194: -1.04083e-17   246: -2.86229e-17   248: 7.97973e-17   249: -2.08167e-17
Row 16:   3: -0.336878   16: 1.81347   17: -0.20561   30: -0.908731   31: -0.36225   55: -0.0873491   56: 2.09034e-16   57: 0.143495   58: -8.32667e-17   125: -0.033994   126: -1.09721e-16   127: -0.0825273   128: -5.04805e-16   129: -0.0983745   130: -2.57606e-16   133: 0.0682624   134: -1.82146e-17   197: 0.0904872   198: 7.97973e-17   250: -6.07153e-17   251: -2.42861e-17   252: -4.85723e-17
Row 17:   16: -0.20561   17: 1.94288   18: -0.368349   31: -1.16439   32: -0.204537   125: -0.0846663   126: 1.64799e-16   129: 0.118935   130: -1.00614e-16   131: -0.0154075   132: -1.44416e-16   133: -0.0529503   134: -6.01949e-16   135: -0.17079   136: -2.74954e-16   139: 0.076799   140: 3.81639e-17   201: 0.12808   202: 1.63064e-16   251: -6.245e-17   253: -1.04083e-17   254: -5.89806e-17
Row 18:   17: -0.368349   18: 2.04376   19: -0.553239   32: -1.12218   131: -0.0781072   132: 2.08167e-16   135: 0.139499   136: -6.245e-17   137: -0.108922   138: -3.13118e-16   139: -0.153598   140: -6.80012e-16   143: 0.201129   144: -8.32667e-17   253: -5.37764e-17   255: -7.63278e-17
Row 19:   0: -0.5   4: -0.177276   18: -0.553239   19: 1.87497   20: -0.545937   32: -0.098519   39: 0.0833333   40: 8.67362e-17   41: -7.63278e-17   42: 2.28983e-16   61: -0.124342   62: 2.84061e-16   63: 0.0705543   64: -1.56125e-17   137: 0.0154075   138: 1.79327e-16   139: 0.076799   140: 1.249e-16   141: -0.0613734   142: -2.9924e-16   143: -0.142188   144: -2.00361e-16   147: 0.0818086   148: -8.67362e-19   227: 5.20417e-17   255: 1.38778e-17   256: 4.51028e-17   259: -2.08167e-17
Row 20:   4: -0.808965   5: -0.345183   19: -0.545937   20: 3.54246   21: -0.647227   32: -0.584699   34: -0.610448   59: 0.0819397   60: 2.94903e-17   61: 0.122262   62: 1.73472e-17   63: -0.0693744   64: 4.08527e-16   67: -0.10714   68: 3.34802e-16   69: 0.082731   70: -1.9082e-17   141: -0.146695   142: 3.72098e-16   143: 0.115423   144: -5.55112e-17   145: -0.077413   146: -3.60822e-16   147: -0.103474   148: -3.81639e-16   149: -0.0863131   150: -3.36103e-16   155: 0.102553   156: -2.25514e-17   205: 0.0855011   206: -2.60209e-18   228: 4.85723e-17   230: 4.68375e-17   256: -2.25514e-17   259: -4.85723e-17   261: -3.1225e-17   272: -2.08167e-17
Row 21:   5: -0.706484   6: -0.432506   20: -0.647227   21: 3.50609   22: -0.571505   33: -0.714154   34: -0.43421   65: 0.0907219   66: 1.12757e-17   67: 0.118623   68: -1.73472e-17   69: -0.091598   70: 4.00287e-16   73: -0.102619   74: 3.69062e-16   75: 0.0839811   76: -1.56125e-17   145: -0.107223   146: 3.77302e-16   149: 0.0964712   150: -1.04083e-17   151: -0.0880292   152: -3.35235e-16   153: -0.0755245   154: -3.72098e-16   155: -0.119354   156: -3.36536e-16   161: 0.0992989   162: -3.98986e-17   209: 0.0952513   210: 2.42861e-17   229: 6.07153e-17   230: -3.1225e-17   232: 5.72459e-17   260: -2.77556e-17   261: -3.1225e-17   262: -1.73472e-17
Row 22:   6: -0.718531   7: -0.374026   21: -0.571505   22: 3.51428   23: -0.708085   24: -0.536887   33: -0.60525   71: 0.099346   72: 1.38778e-17   73: 0.112374   74: -1.38778e-17   75: -0.0919644   76: 4.06793e-16   77: -0.111917   78: 3.62124e-16   79: 0.0749089   80: -3.20924e-17   151: -0.107744   152: 3.38271e-16   153: 0.0906212   154: -2.77556e-17   157: -0.0555055   158: -3.55185e-16   159: -0.118983   160: -3.39138e-16   161: -0.0995997   162: -3.79904e-16   163: 0.0986109   164: 8.67362e-18   167: 0.109853   168: -3.46945e-17   231: 5.89806e-17   232: -3.1225e-17   234: 4.16334e-17   260: -3.55618e-17   265: -1.73472e-17   266: -2.77556e-17
Row 23:   1: -0.40978   7: -0.968685   8: -1.05698   22: -0.708085   23: 3.76596   24: -0.62243   43: 0.117629   44: -1.00614e-16   45: 0.117335   46: -5.0307e-17   47: -0.166667   48: 3.93782e-16   77: 0.132513   78: -6.93889e-18   79: -0.0886944   80: 4.76615e-16   83: -0.0901615   84: 6.31439e-16   85: 0.148989   86: 4.16334e-17   157: -0.125692   158: 4.18936e-16   159: 0.111193   160: -1.38778e-17   163: -0.156444   164: -5.10009e-16   233: -6.33174e-17   234: -3.1225e-17   235: 6.59195e-17   237: 9.71445e-17   265: -3.46945e-17
Row 24:   8: -0.263291   9: -0.64648   22: -0.536887   23: -0.62243   24: 3.433   25: -0.459506   33: -0.354764   37: -0.549644   81: 0.0880035   82: -1.9082e-17   83: 0.0676228   84: -7.97973e-17   85: -0.111744   86: 2.60859e-16   89: -0.0782661   90: 4.25875e-16   91: 0.0980093   92: 9.54098e-18   157: 0.0829906   158: -1.21431e-17   159: -0.0835425   160: 3.25911e-16   161: 0.0900331   162: 0   163: -0.0468751   164: 3.55618e-16   165: -0.0942456   166: -3.10516e-16   167: -0.103593   168: -2.70183e-16   169: -0.0539003   170: -2.77989e-16   175: 0.0728206   176: -3.64292e-17   211: 0.072687   212: -1.38778e-17   236: 5.37764e-17   237: -3.38271e-17   239: 6.245e-17   265: 5.0307e-17   266: -2.42861e-17   274: -2.77556e-17   275: -1.38778e-17
Row 25:   9: -0.484029   10: -0.84644   24: -0.459506   25: 3.57375   26: -0.517151   35: -0.379385   37: -0.887236   87: 0.104004   88: -3.1225e-17   89: 0.0924966   90: -2.08167e-17   91: -0.11583   92: 3.6169e-16   95: -0.0772401   96: 5.20417e-16   97: 0.114309   98: 2.86229e-17   165: -0.124075   166: 3.1225e-16   169: 0.108163   170: -9.54098e-17   171: -0.111385   172: -3.65593e-16   173: -0.113421   174: -2.83627e-16   175: -0.0536744   176: -4.7011e-16   179: 0.0832674   180: -2.42861e-17   219: 0.0933844   220: -9.02056e-17   238: 6.41848e-17   239: -2.77556e-17   241: 6.59195e-17   263: -2.77556e-17   274: -4.85723e-17   276: -4.85723e-17
Row 26:   10: -0.400025   11: -1.09961   12: -0.239874   25: -0.517151   26: 3.71385   27: -0.788273   35: -0.66891   93: 0.103593   94: -4.42354e-17   95: 0.0769345   96: -3.46945e-17   97: -0.113857   98: 3.31332e-16   99: 0.148738   100: 8.84709e-17   101: -0.0690626   102: 6.17562e-16   105: -0.198236   106: 4.4062e-16   107: 0.0894771   108: -9.02056e-17   171: -0.0965358   172: 3.13551e-16   173: 0.105793   174: -6.245e-17   177: -0.0525365   178: -3.92915e-16   179: -0.0887462   180: -3.97252e-16   183: 0.0944382   184: -2.94903e-17   240: 6.07153e-17   241: -2.60209e-17   257: 1.04083e-16   258: 5.29091e-17   263: -3.55618e-17   264: -3.46945e-17
Row 27:   12: -0.703881   13: -0.775929   26: -0.788273   27: 3.68527   28: -0.733256   35: -0.683932   103: 0.103112   104: -1.56125e-17   105: 0.159913   106: -6.245e-17   107: -0.145712   108: 4.7011e-16   111: -0.107402   112: 5.29091e-16   113: 0.133611   114: 1.21431e-17   177: -0.124052   178: 4.66641e-16   179: 0.0955182   180: -3.1225e-17   181: -0.133459   182: -4.70977e-16   183: -0.103586   184: -4.21538e-16   187: 0.122057   188: -4.33681e-17   243: 6.41848e-17   245: 8.67362e-17   258: -4.68375e-17   264: -3.29597e-17   270: -3.81639e-17
Row 28:   13: -0.355771   14: -0.309609   27: -0.733256   28: 3.48151   29: -0.790531   35: -0.449095   36: -0.434461   38: -0.408789   109: 0.0795032   110: 1.73472e-18   111: 0.0828109   112: -8.50015e-17   113: -0.103019   114: 2.90349e-16   117: -0.10339   118: 3.09648e-16   119: 0.0754885   120: -5.0307e-17   181: -0.0450785   182: 3.34151e-16   183: 0.0844769   184: 2.08167e-17   185: -0.0400872   186: -3.68195e-16   187: -0.0863546   188: -3.05745e-16   189: -0.108835   190: -2.77989e-16   191: -0.0934871   192: -2.68882e-16   195: 0.0963537   196: 2.77556e-17   221: 0.0767268   222: 4.85723e-17   223: 0.0848918   224: -2.08167e-17   244: 5.55112e-17   245: -4.42354e-17   247: 4.77049e-17   269: -1.38778e-17   270: -2.08167e-17   280: -2.77556e-17   281: -2.42861e-17
Row 29:   14: -0.898185   15: -0.432178   28: -0.790531   29: 3.74275   30: -0.98463   36: -0.637229   115: 0.110809   116: 2.77556e-17   117: 0.144102   118: -1.38778e-17   119: -0.105213   120: 4.95264e-16   121: -0.135473   122: 4.2067e-16   123: 0.0966939   124: -3.64292e-17   185: -0.133883   186: 4.74447e-16   189: 0.121537   190: -2.08167e-17   193: -0.0832396   194: -4.92661e-16   195: -0.165982   196: -4.84855e-16   199: 0.150651   200: 1.56125e-17   246: 6.245e-17   247: -3.46945e-17   249: 5.55112e-17   267: -2.77556e-17   269: -3.46945e-17
Row 30:   3: -0.189673   15: -0.784846   16: -0.908731   29: -0.98463   30: 3.81689   31: -0.851669   36: -0.0973365   53: 0.096897   54: -1.11022e-16   55: 0.101566   56: -7.80626e-17   57: -0.166851   58: 3.01842e-16   121: 0.118465   122: -4.85723e-17   123: -0.0845541   124: 4.19369e-16   127: -0.0722726   128: 5.36463e-16   129: 0.122161   130: 1.04083e-17   193: -0.0628419   194: 4.54281e-16   195: 0.108482   196: 9.02056e-17   197: -0.0687924   198: -4.41487e-16   199: -0.180835   200: -2.3332e-16   203: 0.0885758   204: 8.06646e-17   248: -4.77049e-17   249: -4.33681e-17   250: 6.76542e-17   252: 7.97973e-17   267: -1.73472e-17   268: -6.93889e-18
Row 31:   16: -0.36225   17: -1.16439   30: -0.851669   31: 3.85451   32: -0.517495   36: -0.958711   125: 0.11866   126: -5.55112e-17   127: 0.0844363   128: -6.93889e-17   129: -0.142722   130: 3.46077e-16   133: -0.0722565   134: 6.69603e-16   135: 0.147661   136: 8.1532e-17   197: -0.100344   198: 4.44523e-16   199: 0.157852   200: -3.1225e-17   201: -0.195221   202: -4.78784e-16   203: -0.131876   204: -5.81132e-16   207: 0.133809   208: -9.36751e-17   251: 8.67362e-17   252: -3.51282e-17   254: 7.63278e-17   268: -5.37764e-17   271: -4.85723e-17
Row 32:   17: -0.204537   18: -1.12218   19: -0.098519   20: -0.584699   31: -0.517495   32: 3.69368   34: -0.800343   36: -0.365907   131: 0.0935147   132: -6.59195e-17   133: 0.0569444   134: -3.98986e-17   135: -0.11637   136: 2.5327e-16   137: 0.0935147   138: 1.29237e-16   139: -1.83881e-16   140: 5.20417e-16   141: 0.0972688   142: -3.46945e-17   143: -0.174364   144: 3.34802e-16   147: -0.0930223   148: 4.28477e-16   149: 0.0932033   150: -3.1225e-17   201: -0.0398024   202: 2.41343e-16   203: 0.0691071   204: 1.56125e-17   205: -0.0718724   206: -4.16334e-16   207: -0.120182   208: -2.93168e-16   215: 0.11206   216: 1.21431e-17   253: 6.245e-17   254: -2.47198e-17   255: 6.245e-17   259: 6.41848e-17   271: -1.56125e-17   272: 5.89806e-17   273: -3.46945e-17
Row 33:   21: -0.714154   22: -0.60525   24: -0.354764   33: 3.57925   34: -0.624553   37: -0.928035   38: -0.352491   151: 0.0992748   152: 1.04083e-17   153: -0.0975796   154: 4.11129e-16   155: 0.11733   156: -1.73472e-17   159: 0.0913324   160: 1.73472e-17   161: -0.0897323   162: 4.20237e-16   167: -0.135259   168: 3.86843e-16   169: 0.103054   170: -5.89806e-17   209: -0.105243   210: -3.98986e-16   211: -0.0419266   212: -4.26308e-16   213: -0.126801   214: -2.79724e-16   217: 0.0920044   218: 4.85723e-17   225: 0.0935455   226: 5.0307e-17   260: 6.41848e-17   262: -3.46945e-17   266: 5.89806e-17   275: 6.76542e-17   277: -3.1225e-17   279: -3.46945e-18
Row 34:   20: -0.610448   21: -0.43421   32: -0.800343   33: -0.624553   34: 3.5401   36: -0.341534   38: -0.729009   145: 0.0904152   146: 6.07153e-18   147: 0.114688   148: -4.85723e-17   149: -0.103361   150: 3.73399e-16   153: 0.0824828   154: -2.08167e-17   155: -0.10053   156: 3.69496e-16   205: -0.0897809   206: 4.19803e-16   207: 0.108484   208: 2.08167e-17   209: -0.083047   210: 4.26742e-16   213: 0.104656   214: 0   215: -0.140852   216: -3.11383e-16   217: -0.0724453   218: -4.00071e-16   223: 0.0892903   224: -3.98986e-17   261: 6.07153e-17   262: 4.85723e-17   272: -3.98986e-17   273: -2.25514e-17   277: 6.93889e-17   278: -6.93889e-18
Row 35:   25: -0.379385   26: -0.66891   27: -0.683932   28: -0.449095   35: 3.53739   37: -0.674877   38: -0.68119   171: 0.102697   172: -2.34188e-17   173: -0.119567   174: 3.31766e-16   175: 0.0801006   176: -6.93889e-17   177: 0.0988275   178: 8.67362e-19   179: -0.0900393   180: 4.55799e-16   181: 0.09049   182: 4.25007e-17   183: -0.0753288   184: 4.30211e-16   187: -0.136673   188: 4.38451e-16   191: 0.121032   192: -2.86229e-17   219: -0.0640386   220: -3.76435e-16   221: -0.103918   222: -4.2414e-16   225: 0.0964175   226: 4.68375e-17   263: 5.72459e-17   264: 6.59195e-17   270: 5.89806e-17   276: -3.38271e-17   280: 7.45931e-17   282: -2.77556e-17
Row 36:   28: -0.434461   29: -0.637229   30: -0.0973365   31: -0.958711   32: -0.365907   34: -0.341534   36: 3.57061   38: -0.735427   185: 0.079817   186: -2.51535e-17   189: -0.113163   190: 3.24393e-16   191: 0.105756   192: -4.85723e-17   193: 0.0652415   194: 4.59702e-17   195: -0.0388535   196: 3.62557e-16   197: 0.078649   198: -6.85216e-17   199: -0.127668   200: 2.5327e-16   201: 0.106943   202: 6.85216e-17   203: -0.0258068   204: 4.78784e-16   205: 0.0761522   206: 1.73472e-18   207: -0.122111   208: 3.65376e-16   215: -0.101772   216: 3.26128e-16   217: 0.0825421   218: -4.51028e-17   223: -0.0657272   224: -4.17201e-16   267: 4.68375e-17   268: 5.72459e-17   269: 5.20417e-17   271: 6.245e-17   273: 4.51028e-17   278: 5.37764e-17   281: -4.68375e-17
Row 37:   24: -0.549644   25: -0.887236   33: -0.928035   35: -0.674877   37: 3.68681   38: -0.64702   165: 0.119925   166: -3.55618e-17   167: 0.128998   168: -7.63278e-17   169: -0.157316   170: 4.26742e-16   173: 0.127194   174: 1.38778e-17   175: -0.0992469   176: 5.75928e-16   211: -0.108677   212: 4.82687e-16   213: 0.134351   214: -1.38778e-17   219: -0.118715   220: 4.96998e-16   221: 0.104   222: 1.21431e-17   225: -0.130514   226: -4.60569e-16   274: 7.63278e-17   275: -5.0307e-17   276: 8.32667e-17   279: -4.33681e-17   282: 5.89806e-17
Row 38:   28: -0.408789   33: -0.352491   34: -0.729009   35: -0.68119   36: -0.735427   37: -0.64702   38: 3.55392   187: 0.100971   188: -9.02056e-17   189: 0.100462   190: -2.68882e-17   191: -0.133301   192: 3.4998e-16   209: 0.0930384   210: -4.33681e-17   211: 0.0779166   212: -4.25007e-17   213: -0.112206   214: 2.94036e-16   215: 0.130564   216: -2.77556e-17   217: -0.102101   218: 4.05925e-16   219: 0.0893687   220: -3.64292e-17   221: -0.0768082   222: 3.72098e-16   223: -0.108455   224: 4.75314e-16   225: -0.0594486   226: 3.68629e-16   277: -3.20924e-17   278: -4.51028e-17   279: 5.11743e-17   280: -4.64039e-17   281: 6.76542e-17   282: -3.38271e-17
Row 39:   0: -0.0833333   4: 0   19: 0.0833333   39: 0.0416667   40: 0.00416667   41: -1.04083e-17   42: 0.00416667   61: -0.0208333   62: 0.00833333   227: -0.00833333
Row 40:   0: -2.61943e-16   4: 1.76942e-16   19: 8.67362e-17   39: 0.00416667   40: 0.0138889   41: 0.00416667   42: -2.01662e-17   61: -0.00416667   62: 0.00277778   227: -0.00277778
Row 41:   0: -0.0833333   4: 0.0833333   19: -7.63278e-17   39: -1.04083e-17   40: 0.00416667   41: 0.0416667   42: 0.00416667   61: -0.0208333   62: -0.00833333   227: -0.00833333
Row 42:   0: -3.19189e-16   4: 9.71445e-17   19: 2.28983e-16   39: 0.00416667   40: -2.01662e-17   41: 0.00416667   42: 0.0138889   61: -0.00416667   62: -0.00277778   227: -0.00277778
Row 43:   1: -0.0340869   7: -0.0835417   23: 0.117629   43: 0.0381141   44: -0.00247274   47: -0.0208854   48: 0.00591849   79: -0.00852172   80: 0.00344574   233: -0.0034828
Row 44:   1: -1.2837e-16   7: 2.32453e-16   23: -1.00614e-16   43: -0.00247274   44: 0.0113247   47: 0.00588143   48: -0.00278472   79: -0.00588143   80: 0.00113623   233: 0.00164849
Row 45:   1: -0.0342097   8: -0.0831255   23: 0.117335   45: 0.038071   46: -0.00244579   47: -0.0207814   48: 0.00590372   83: -0.00855243   84: 0.00345794   235: -0.0034949
Row 46:   1: -1.06685e-16   8: 1.56125e-16   23: -5.0307e-17   45: -0.00244579   46: 0.0113172   47: 0.00586676   48: -0.00277085   83: -0.00586676   84: 0.00114032   235: 0.00163052
Row 47:   1: -0.069777   7: 0.11837   8: 0.118074   23: -0.166667   43: -0.0208854   44: 0.00588143   45: -0.0207814   46: 0.00586676   47: 0.0761852   48: -0.00484451   79: -0.008707   80: -0.00344574   83: -0.00873724   84: -0.00345794   233: -0.00340869   235: -0.00342097
Row 48:   1: -2.40693e-16   7: -5.11743e-17   8: -1.00614e-16   23: 3.93782e-16   43: 0.00591849   44: -0.00278472   45: 0.00590372   46: -0.00277085   47: -0.00484451   48: 0.0225926   79: -0.00591849   80: -0.00116093   83: -0.00590372   84: -0.00116497   233: 0.00162379   235: 0.00160588
Row 49:   2: -0.0833333   11: -6.93889e-17   12: 0.0833333   49: 0.0416667   50: 0.00416667   51: -1.04083e-17   52: 0.00416667   99: -0.0208333   100: 0.00833333   242: -0.00833333
Row 50:   2: -3.19189e-16   11: 2.28983e-16   12: 9.36751e-17   49: 0.00416667   50: 0.0138889   51: 0.00416667   52: -2.07354e-17   99: -0.00416667   100: 0.00277778   242: -0.00277778
Row 51:   2: -0.0833333   11: 0.0833333   12: 3.46945e-18   49: -1.04083e-17   50: 0.00416667   51: 0.0416667   52: 0.00416667   99: -0.0208333   100: -0.00833333   242: -0.00833333
Row 52:   2: -2.70617e-16   11: 8.67362e-17   12: 1.8323e-16   49: 0.00416667   50: -2.07354e-17   51: 0.00416667   52: 0.0138889   99: -0.00416667   100: -0.00277778   242: -0.00277778
Row 53:   3: -0.0173948   15: -0.0795022   30: 0.096897   53: 0.0385733   54: -0.00310537   57: -0.0198756   58: 0.00684492   123: -0.00434871   124: 0.00373955   248: -0.00573962
Row 54:   3: -1.80411e-16   15: 2.93168e-16   30: -1.11022e-16   53: -0.00310537   54: 0.0121994   57: 0.00484485   58: -0.00265007   123: -0.00484485   124: 0.000579828   248: 0.00207025
Row 55:   3: -0.0142173   16: -0.0873491   30: 0.101566   55: 0.0394282   56: -0.00365659   57: -0.0218373   58: 0.00717477   127: -0.00355433   128: 0.00351818   250: -0.00561463
Row 56:   3: -1.31188e-16   16: 2.09034e-16   30: -7.80626e-17   55: -0.00365659   56: 0.0123857   57: 0.00507832   58: -0.00291164   127: -0.00507832   128: 0.000473911   250: 0.00243773
Row 57:   3: -0.113542   15: 0.136898   16: 0.143495   30: -0.166851   53: -0.0198756   54: 0.00484485   55: -0.0218373   56: 0.00507832   57: 0.0780015   58: -0.00266544   123: -0.014349   124: -0.00373955   127: -0.0140366   128: -0.00351818   248: -0.00173948   250: -0.00142173
Row 58:   3: -1.99493e-16   15: -2.08167e-17   16: -8.32667e-17   30: 3.01842e-16   53: 0.00684492   54: -0.00265007   55: 0.00717477   56: -0.00291164   57: -0.00266544   58: 0.0218541   123: -0.00684492   124: -0.00191321   127: -0.00717477   128: -0.00187154   248: 0.000736868   250: 0.00104009
Row 59:   4: -0.0535736   5: -0.028366   20: 0.0819397   59: 0.037036   60: 0.00126038   63: -0.00709151   64: 0.00472853   67: -0.0133934   68: 0.0059889   228: -0.00662045
Row 60:   4: -1.95156e-16   5: 1.66317e-16   20: 2.94903e-17   59: 0.00126038   60: 0.0120831   63: 0.00409698   64: -0.000945535   67: -0.00409698   68: 0.00178579   228: -0.000840252
Row 61:   0: 0.166667   4: -0.164587   19: -0.124342   20: 0.122262   39: -0.0208333   40: -0.00416667   41: -0.0208333   42: -0.00416667   61: 0.0796187   62: 0.00201227   63: -0.0102521   64: 0.00352772   141: -0.0203135   142: 0.00553999   227: -1.82146e-17   256: -0.0029546
Row 62:   0: -4.16334e-17   4: -2.55872e-16   19: 2.84061e-16   20: 1.73472e-17   39: 0.00833333   40: 0.00277778   41: -0.00833333   42: -0.00277778   61: 0.00201227   62: 0.0222165   63: 0.00611311   64: -0.00136694   141: -0.00611311   142: 0.00270846   227: 1.57751e-17   256: -0.00134152
Row 63:   4: -0.0957505   5: 0.0945705   19: 0.0705543   20: -0.0693744   59: -0.00709151   60: 0.00409698   61: -0.0102521   62: 0.00611311   63: 0.0749881   64: 0.0013188   67: -0.0165511   68: -0.0059889   141: -0.0073865   142: -0.00553999   228: -0.00535736   256: -0.00812538
Row 64:   4: -4.17635e-16   5: 2.42861e-17   19: -1.56125e-17   20: 4.08527e-16   59: 0.00472853   60: -0.000945535   61: 0.00352772   62: -0.00136694   63: 0.0013188   64: 0.0244911   67: -0.00472853   68: -0.00220682   141: -0.00352772   142: -0.000984867   228: -0.00126128   256: 0.000382078
Row 65:   5: -0.0526905   6: -0.0380314   21: 0.0907219   65: 0.036295   66: 0.000732955   69: -0.00950784   70: 0.00462448   73: -0.0131726   74: 0.00535744   229: -0.00544582
Row 66:   5: -1.65666e-16   6: 1.5439e-16   21: 1.12757e-17   65: 0.000732955   66: 0.0114939   69: 0.00453609   70: -0.00126771   73: -0.00453609   74: 0.00175635   229: -0.000488637
Row 67:   4: 0.119778   5: -0.131261   20: -0.10714   21: 0.118623   59: -0.0133934   60: -0.00409698   63: -0.0165511   64: -0.00472853   67: 0.073983   68: 0.00120605   69: -0.0133916   70: 0.00413655   145: -0.0162642   146: 0.00471106   228: -0.0028366   230: -0.00291644
Row 68:   4: -1.9082e-17   5: -3.0401e-16   20: 3.34802e-16   21: -1.73472e-17   59: 0.0059889   60: 0.00178579   63: -0.0059889   64: -0.00220682   67: 0.00120605   68: 0.0216465   69: 0.00593117   70: -0.00178555   145: -0.00593117   146: 0.00216856   228: -0.000421028   230: -0.000383006
Row 69:   5: -0.0836226   6: 0.0924896   20: 0.082731   21: -0.091598   65: -0.00950784   66: 0.00453609   67: -0.0133916   68: 0.00593117   69: 0.073242   70: -0.000398767   73: -0.0136146   74: -0.00535744   145: -0.00729109   146: -0.00471106   229: -0.00526905   230: -0.00650568
Row 70:   5: -3.77736e-16   6: -3.46945e-18   20: -1.9082e-17   21: 4.00287e-16   65: 0.00462448   66: -0.00126771   67: 0.00413655   68: -0.00178555   69: -0.000398767   70: 0.0234561   73: -0.00462448   74: -0.00181527   145: -0.00413655   146: -0.000972146   229: -0.000547562   230: 0.000813407
Row 71:   6: -0.0573097   7: -0.0420363   22: 0.099346   71: 0.0362495   72: 0.00076367   75: -0.0105091   76: 0.00438442   77: -0.0143274   78: 0.00514809   231: -0.00456522
Row 72:   6: -1.62197e-16   7: 1.4615e-16   22: 1.38778e-17   71: 0.00076367   72: 0.0111883   75: 0.0049673   76: -0.00140121   77: -0.0049673   78: 0.00191032   231: -0.000509113
Row 73:   5: 0.107149   6: -0.116904   21: -0.102619   22: 0.112374   65: -0.0131726   66: -0.00453609   69: -0.0136146   70: -0.00462448   73: 0.0729017   74: 0.000714255   75: -0.012482   76: 0.00419906   151: -0.0156114   152: 0.00482492   229: -0.00380314   232: -0.0034053
Row 74:   5: -2.94903e-17   6: -3.25261e-16   21: 3.69062e-16   22: -1.38778e-17   65: 0.00535744   66: 0.00175635   69: -0.00535744   70: -0.00181527   73: 0.000714255   74: 0.0218433   75: 0.00561868   76: -0.00166427   151: -0.00561868   152: 0.00208152   229: -5.89252e-05   232: -0.000417245
Row 75:   6: -0.0797051   7: 0.0876885   21: 0.0839811   22: -0.0919644   71: -0.0105091   72: 0.0049673   73: -0.012482   74: 0.00561868   75: 0.0728562   76: -0.000612965   77: -0.011413   78: -0.00514809   151: -0.00851324   152: -0.00482492   231: -0.00573097   232: -0.00624455
Row 76:   6: -3.71665e-16   7: -1.73472e-17   21: -1.56125e-17   22: 4.06793e-16   71: 0.00438442   72: -0.00140121   73: 0.00419906   74: -0.00166427   75: -0.000612965   76: 0.0234202   77: -0.00438442   78: -0.00152174   151: -0.00419906   152: -0.0011351   231: -0.00012053   232: 0.000529173
Row 77:   6: 0.102962   7: -0.123558   22: -0.111917   23: 0.132513   71: -0.0143274   72: -0.0049673   75: -0.011413   76: -0.00438442   77: 0.0744532   78: 0.000582042   79: -0.0136519   80: 0.00374544   157: -0.0194765   158: 0.00491036   231: -0.00420363   234: -0.00203014
Row 78:   6: -4.51028e-17   7: -3.10516e-16   22: 3.62124e-16   23: -6.93889e-18   71: 0.00514809   72: 0.00191032   75: -0.00514809   76: -0.00152174   77: 0.000582042   78: 0.0219321   79: 0.00662566   80: -0.00182025   157: -0.00662566   158: 0.00259686   231: 0.000388583   234: -0.000776611
Row 79:   1: 0.0689149   7: -0.0551294   22: 0.0749089   23: -0.0886944   43: -0.00852172   44: -0.00588143   47: -0.008707   48: -0.00591849   77: -0.0136519   78: 0.00662566   79: 0.0763178   80: -0.00167825   157: -0.00507535   158: -0.00491036   233: -0.00835417   234: -0.00779058
Row 80:   1: 2.1684e-17   7: -4.76182e-16   22: -3.20924e-17   23: 4.76615e-16   43: 0.00344574   44: 0.00113623   47: -0.00344574   48: -0.00116093   77: 0.00374544   78: -0.00182025   79: -0.00167825   80: 0.025733   157: -0.00374544   158: -0.000676713   233: -2.47032e-05   234: 0.00114354
Row 81:   8: -0.0322109   9: -0.0557926   24: 0.0880035   81: 0.0366233   82: -0.00117909   85: -0.0139482   86: 0.00571412   89: -0.00805273   90: 0.00453504   236: -0.00584899
Row 82:   8: -1.61329e-16   9: 1.83881e-16   24: -1.9082e-17   81: -0.00117909   82: 0.0117159   85: 0.00440018   86: -0.00185975   89: -0.00440018   90: 0.0010737   236: 0.000786057
Row 83:   1: 0.0691587   8: -0.0466199   23: -0.0901615   24: 0.0676228   45: -0.00855243   46: -0.00586676   47: -0.00873724   48: -0.00590372   83: 0.078236   84: -0.00217708   85: -0.013988   86: 0.00744945   163: -0.00291774   164: 0.00523541   235: -0.00831255   237: -0.00930372
Row 84:   1: -1.9082e-17   8: -5.25621e-16   23: 6.31439e-16   24: -7.97973e-17   45: 0.00345794   46: 0.00114032   47: -0.00345794   48: -0.00116497   83: -0.00217708   84: 0.026735   85: 0.00338114   86: -0.00186506   163: -0.00338114   164: 0.000389032   235: -2.46416e-05   237: 0.00147603
Row 85:   8: -0.151527   9: 0.114282   23: 0.148989   24: -0.111744   81: -0.0139482   82: 0.00440018   83: -0.013988   84: 0.00338114   85: 0.0767883   86: 0.00198913   89: -0.0146225   90: -0.00453504   163: -0.0232593   164: -0.00523541   236: -0.00322109   237: -0.0011671
Row 86:   8: -2.77556e-16   9: -2.77556e-17   23: 4.16334e-17   24: 2.60859e-16   81: 0.00571412   82: -0.00185975   83: 0.00744945   84: -0.00186506   85: 0.00198913   86: 0.0219396   89: -0.00571412   90: -0.00194966   163: -0.00744945   164: -0.00310124   236: -8.99088e-05   237: -0.00123618
Row 87:   9: -0.0342301   10: -0.0697744   25: 0.104004   87: 0.0369527   88: -0.00177721   91: -0.0174436   92: 0.00567904   95: -0.00855753   96: 0.00390183   238: -0.00438064
Row 88:   9: -1.29237e-16   10: 1.65666e-16   25: -3.1225e-17   87: -0.00177721   88: 0.0113143   91: 0.00520022   92: -0.00232581   95: -0.00520022   96: 0.001141   238: 0.00118481
Row 89:   8: 0.0907008   9: -0.104931   24: -0.0782661   25: 0.0924966   81: -0.00805273   82: -0.00440018   85: -0.0146225   86: -0.00571412   89: 0.072736   90: 0.00133326   91: -0.0115138   92: 0.00490046   165: -0.0116104   166: 0.00491978   236: -0.00557926   239: -0.00519541
Row 90:   8: 1.21431e-17   9: -4.15466e-16   24: 4.25875e-16   25: -2.08167e-17   81: 0.00453504   82: 0.0010737   85: -0.00453504   86: -0.00194966   89: 0.00133326   90: 0.0229878   91: 0.00462483   92: -0.00153517   165: -0.00462483   166: 0.00154805   236: -0.000875966   239: -1.2874e-05
Row 91:   9: -0.0957605   10: 0.113581   24: 0.0980093   25: -0.11583   87: -0.0174436   88: 0.00520022   89: -0.0115138   90: 0.00462483   91: 0.0730654   92: -0.00100345   95: -0.0109516   96: -0.00390183   165: -0.0129885   166: -0.00491978   238: -0.00342301   239: -0.00464414
Row 92:   9: -3.01842e-16   10: -6.93889e-17   24: 9.54098e-18   25: 3.6169e-16   87: 0.00567904   88: -0.00232581   89: 0.00490046   90: -0.00153517   91: -0.00100345   92: 0.0221732   95: -0.00567904   96: -0.00146021   165: -0.00490046   166: -0.0017318   238: 0.000865599   239: -0.000196631
Row 93:   10: -0.0327463   11: -0.0708467   26: 0.103593   93: 0.0370585   94: -0.00190502   97: -0.0177117   98: 0.00577438   101: -0.00818658   102: 0.00386936   240: -0.00446408
Row 94:   10: -1.26201e-16   11: 1.65666e-16   26: -4.42354e-17   93: -0.00190502   94: 0.0113703   97: 0.00517965   98: -0.00236156   101: -0.00517965   102: 0.00109154   240: 0.00127001
Row 95:   9: 0.0780365   10: -0.0777309   25: -0.0772401   26: 0.0769345   87: -0.00855753   88: -0.00520022   91: -0.0109516   92: -0.00567904   95: 0.0740111   96: 2.45387e-05   97: -0.0107525   98: 0.00571545   171: -0.00848113   172: 0.00526117   238: -0.00697744   241: -0.00712989
Row 96:   9: -1.04083e-17   10: -4.66641e-16   25: 5.20417e-16   26: -3.46945e-17   87: 0.00390183   88: 0.001141   91: -0.00390183   92: -0.00146021   95: 2.45387e-05   96: 0.0244387   97: 0.00384673   98: -0.00143367   171: -0.00384673   172: 0.00113082   238: -0.000319208   241: 0.000302849
Row 97:   10: -0.11594   11: 0.115488   25: 0.114309   26: -0.113857   93: -0.0177117   94: 0.00517965   95: -0.0107525   96: 0.00384673   97: 0.0741168   98: 0.000104155   101: -0.0111602   102: -0.00386936   171: -0.0178247   172: -0.00526117   240: -0.00327463   241: -0.00339245
Row 98:   10: -2.83627e-16   11: -7.28584e-17   25: 2.86229e-17   26: 3.31332e-16   93: 0.00577438   94: -0.00236156   95: 0.00571545   96: -0.00143367   97: 0.000104155   98: 0.0219868   101: -0.00577438   102: -0.00148803   171: -0.00571545   172: -0.00237663   240: 0.000873528   241: -0.000942965
Row 99:   2: 0.166667   11: -0.195755   12: -0.11965   26: 0.148738   49: -0.0208333   50: -0.00416667   51: -0.0208333   52: -0.00416667   99: 0.0836612   100: 0.00380529   101: -0.00907908   102: 0.0027778   105: -0.0281055   106: 0.00658309   242: -1.64799e-17   257: -0.00192397
Row 100:   2: 4.16334e-17   11: -3.04444e-16   12: 1.70003e-16   26: 8.84709e-17   49: 0.00833333   50: 0.00277778   51: -0.00833333   52: -0.00277778   99: 0.00380529   100: 0.022951   101: 0.00743692   102: -0.00121054   105: -0.00743692   106: 0.0037474   242: -1.77267e-17   257: -0.00253686
Row 101:   10: 0.0773871   11: -0.0638806   12: 0.0555561   26: -0.0690626   93: -0.00818658   94: -0.00517965   97: -0.0111602   98: -0.00577438   99: -0.00907908   100: 0.00743692   101: 0.079053   102: -0.000259102   105: -0.00480994   106: -0.00658309   240: -0.00708467   257: -0.0112422
Row 102:   10: -6.93889e-18   11: -5.75928e-16   12: -3.81639e-17   26: 6.17562e-16   93: 0.00386936   94: 0.00109154   97: -0.00386936   98: -0.00148803   99: 0.0027778   100: -0.00121054   101: -0.000259102   102: 0.0271898   105: -0.0027778   106: -0.000641325   240: -0.000396484   257: 0.000569219
Row 103:   12: -0.0432149   13: -0.0598976   27: 0.103112   103: 0.0363393   104: -0.000834135   107: -0.0149744   108: 0.00510712   111: -0.0108037   112: 0.00427299   243: -0.00422449
Row 104:   12: -1.31405e-16   13: 1.44849e-16   27: -1.56125e-17   103: -0.000834135   104: 0.0110987   107: 0.00515562   108: -0.00199659   111: -0.00515562   112: 0.0014405   243: 0.00055609
Row 105:   11: 0.131662   12: -0.0933383   26: -0.198236   27: 0.159913   99: -0.0281055   100: -0.00743692   101: -0.00480994   102: -0.0027778   105: 0.0828885   106: -0.00524491   107: -0.0214536   108: 0.00447386   177: -0.0185246   178: 0.00388807   257: -0.00363163   258: -0.000366274
Row 106:   11: -1.63064e-16   12: -2.13371e-16   26: 4.4062e-16   27: -6.245e-17   99: 0.00658309   100: 0.0037474   101: -0.00658309   102: -0.000641325   105: -0.00524491   106: 0.0234362   107: 0.00799565   108: -0.00286048   177: -0.00799565   178: 0.00246995   257: 0.00310608   258: 0.000390527
Row 107:   12: -0.0459076   13: 0.102142   26: 0.0894771   27: -0.145712   103: -0.0149744   104: 0.00515562   105: -0.0214536   106: 0.00799565   107: 0.0772333   108: -0.00499022   111: -0.0105612   112: -0.00427299   177: -0.000915684   178: -0.00388807   243: -0.00432149   258: -0.00740986
Row 108:   12: -3.18972e-16   13: -5.55112e-17   26: -9.02056e-17   27: 4.7011e-16   103: 0.00510712   104: -0.00199659   105: 0.00447386   106: -0.00286048   107: -0.00499022   108: 0.024506   111: -0.00510712   112: -0.00140816   177: -0.00447386   178: -0.000122091   243: 0.000588424   258: 0.00273839
Row 109:   13: -0.0406718   14: -0.0388314   28: 0.0795032   109: 0.0367465   110: 9.20201e-05   113: -0.00970785   114: 0.00531571   117: -0.010168   118: 0.00540773   244: -0.00674828
Row 110:   13: -1.83447e-16   14: 1.82363e-16   28: 1.73472e-18   109: 9.20201e-05   110: 0.0120485   113: 0.00397516   114: -0.00129438   117: -0.00397516   118: 0.00135573   244: -6.13467e-05
Row 111:   12: 0.0854598   13: -0.0608683   27: -0.107402   28: 0.0828109   103: -0.0108037   104: -0.00515562   107: -0.0105612   108: -0.00510712   111: 0.074398   112: -0.00232671   113: -0.0160469   114: 0.00668057   181: -0.00465584   182: 0.00440236   243: -0.00598976   245: -0.00694239
Row 112:   12: -2.25514e-17   13: -4.22405e-16   27: 5.29091e-16   28: -8.50015e-17   103: 0.00427299   104: 0.0014405   107: -0.00427299   108: -0.00140816   111: -0.00232671   112: 0.0241502   113: 0.00414054   114: -0.00213958   181: -0.00414054   182: 0.000620779   243: 3.23337e-05   245: 0.0015188
Row 113:   13: -0.136907   14: 0.106314   27: 0.133611   28: -0.103019   109: -0.00970785   110: 0.00397516   111: -0.0160469   112: 0.00414054   113: 0.0748052   114: 0.00169439   117: -0.0168707   118: -0.00540773   181: -0.017356   182: -0.00440236   244: -0.00406718   245: -0.00186234
Row 114:   13: -3.06179e-16   14: 1.04083e-17   27: 1.21431e-17   28: 2.90349e-16   109: 0.00531571   110: -0.00129438   111: 0.00668057   112: -0.00213958   113: 0.00169439   114: 0.0219246   117: -0.00531571   118: -0.00224943   181: -0.00668057   182: -0.00231413   244: -0.000955046   245: -0.000174546
Row 115:   14: -0.0683139   15: -0.0424951   29: 0.110809   115: 0.0368203   116: 0.00129094   119: -0.0106238   120: 0.00394836   121: -0.0170785   122: 0.0052393   246: -0.00364721
Row 116:   14: -1.45717e-16   15: 1.18829e-16   29: 2.77556e-17   115: 0.00129094   116: 0.0110345   119: 0.00554045   120: -0.0014165   121: -0.00554045   122: 0.00227713   246: -0.000860629
Row 117:   13: 0.108155   14: -0.148866   28: -0.10339   29: 0.144102   109: -0.010168   110: -0.00397516   113: -0.0168707   114: -0.00531571   117: 0.0759645   118: 0.0022738   119: -0.0156796   120: 0.00377443   185: -0.0203459   186: 0.00470768   244: -0.00388314   247: -0.00127701
Row 118:   13: 3.46945e-18   14: -3.0748e-16   28: 3.09648e-16   29: -1.38778e-17   109: 0.00540773   110: 0.00135573   113: -0.00540773   114: -0.00224943   117: 0.0022738   118: 0.0219773   119: 0.00720509   120: -0.00209061   185: -0.00720509   186: 0.00271278   244: -0.0008937   247: -0.00062217
Row 119:   14: -0.0492423   15: 0.0789672   28: 0.0754885   29: -0.105213   115: -0.0106238   116: 0.00554045   117: -0.0156796   118: 0.00720509   119: 0.0760383   120: -0.00279856   121: -0.00911803   122: -0.0052393   185: -0.00319254   186: -0.00470768   246: -0.00683139   247: -0.00813835
Row 120:   14: -4.21104e-16   15: -3.1225e-17   28: -5.0307e-17   29: 4.95264e-16   115: 0.00394836   116: -0.0014165   117: 0.00377443   118: -0.00209061   119: -0.00279856   120: 0.0252668   121: -0.00394836   122: -0.00121574   185: -0.00377443   186: -0.000425672   246: 0.000200765   247: 0.00166494
Row 121:   14: 0.104786   15: -0.0877775   29: -0.135473   30: 0.118465   115: -0.0170785   116: -0.00554045   119: -0.00911803   120: -0.00394836   121: 0.0738201   122: -0.00238478   123: -0.0167898   124: 0.00483469   193: -0.0128264   194: 0.004042   246: -0.00424951   249: -0.00295347
Row 122:   14: -7.63278e-17   15: -2.91434e-16   29: 4.2067e-16   30: -4.85723e-17   115: 0.0052393   116: 0.00227713   119: -0.0052393   120: -0.00121574   121: -0.00238478   122: 0.0220864   123: 0.00592323   124: -0.00223864   193: -0.00592323   194: 0.00171018   246: 0.00106139   249: 0.000528461
Row 123:   3: 0.074791   15: -0.0869308   29: 0.0966939   30: -0.0845541   53: -0.00434871   54: -0.00484485   57: -0.014349   58: -0.00684492   121: -0.0167898   122: 0.00592323   123: 0.0755731   124: 0.000118837   193: -0.00738366   194: -0.004042   248: -0.00795022   249: -0.00513054
Row 124:   3: 7.63278e-17   15: -4.50594e-16   29: -3.64292e-17   30: 4.19369e-16   53: 0.00373955   54: 0.000579828   57: -0.00373955   58: -0.00191321   121: 0.00483469   122: -0.00223864   123: 0.000118837   124: 0.0245131   193: -0.00483469   194: -0.000984488   248: -0.00133338   249: 0.00125415
Row 125:   16: -0.033994   17: -0.0846663   31: 0.11866   125: 0.0382322   126: -0.00253362   129: -0.0211666   130: 0.00594674   133: -0.0084985   134: 0.00341312   251: -0.00342684
Row 126:   16: -1.09721e-16   17: 1.64799e-16   31: -5.55112e-17   125: -0.00253362   126: 0.0113375   129: 0.00593302   130: -0.00282221   133: -0.00593302   134: 0.00113313   251: 0.00168908
Row 127:   3: 0.0703636   16: -0.0825273   30: -0.0722726   31: 0.0844363   55: -0.00355433   56: -0.00507832   57: -0.0140366   58: -0.00717477   127: 0.0765638   128: 0.000512737   129: -0.0145138   130: 0.00610807   197: -0.00659526   198: 0.00452436   250: -0.00873491   252: -0.00641062
Row 128:   3: 3.81639e-17   16: -5.04805e-16   30: 5.36463e-16   31: -6.93889e-17   55: 0.00351818   56: 0.000473911   57: -0.00351818   58: -0.00187154   127: 0.000512737   128: 0.0254655   129: 0.00422181   130: -0.00193518   197: -0.00422181   198: 0.000879368   250: -0.00139763   252: 0.00105581
Row 129:   16: -0.0983745   17: 0.118935   30: 0.122161   31: -0.142722   125: -0.0211666   126: 0.00593302   127: -0.0145138   128: 0.00422181   129: 0.0753678   130: -0.00221735   133: -0.00856709   134: -0.00341312   197: -0.0160265   198: -0.00452436   251: -0.0033994   252: -0.0026381
Row 130:   16: -2.57606e-16   17: -1.00614e-16   30: 1.04083e-17   31: 3.46077e-16   125: 0.00594674   126: -0.00282221   127: 0.00610807   128: -0.00193518   129: -0.00221735   130: 0.0221106   133: -0.00594674   134: -0.00114228   197: -0.00610807   198: -0.00213687   251: 0.00167993   252: -0.000201697
Row 131:   17: -0.0154075   18: -0.0781072   32: 0.0935147   131: 0.0387265   132: -0.00313498   135: -0.0195268   136: 0.00697493   139: -0.00385189   140: 0.00383995   253: -0.00613915
Row 132:   17: -1.44416e-16   18: 2.08167e-16   32: -6.59195e-17   131: -0.00313498   132: 0.0123735   135: 0.00467573   136: -0.00260357   139: -0.00467573   140: 0.000513585   253: 0.00208999
Row 133:   16: 0.0682624   17: -0.0529503   31: -0.0722565   32: 0.0569444   125: -0.0084985   126: -0.00593302   129: -0.00856709   130: -0.00594674   133: 0.0798179   134: -0.00096531   135: -0.00956562   136: 0.00738304   201: -0.00467048   202: 0.00640402   251: -0.00846663   254: -0.0109398
Row 134:   16: -1.82146e-17   17: -6.01949e-16   31: 6.69603e-16   32: -3.98986e-17   125: 0.00341312   126: 0.00113313   129: -0.00341312   130: -0.00114228   133: -0.00096531   134: 0.0277536   135: 0.00284722   136: -0.00127542   201: -0.00284722   202: 0.000622731   251: -9.14484e-06   254: 0.000652685
Row 135:   17: -0.17079   18: 0.139499   31: 0.147661   32: -0.11637   131: -0.0195268   132: 0.00467573   133: -0.00956562   134: 0.00284722   135: 0.0803122   136: 0.00272101   139: -0.0153479   140: -0.00383995   201: -0.0273496   202: -0.00640402   253: -0.00154075   254: -0.00186819
Row 136:   17: -2.74954e-16   18: -6.245e-17   31: 8.1532e-17   32: 2.5327e-16   131: 0.00697493   132: -0.00260357   133: 0.00738304   134: -0.00127542   135: 0.00272101   136: 0.0225529   139: -0.00697493   140: -0.00204638   201: -0.00738304   202: -0.00364661   253: 0.000557189   254: -0.0023712
Row 137:   18: -0.108922   19: 0.0154075   32: 0.0935147   137: 0.0464303   138: 0.00621649   139: 0.00385189   140: 0.00383995   143: -0.0272306   144: 0.0100564   255: -0.00922066
Row 138:   18: -3.13118e-16   19: 1.79327e-16   32: 1.29237e-16   137: 0.00621649   138: 0.015455   139: 0.00467573   140: 0.000513585   143: -0.00467573   144: 0.00363074   255: -0.00414433
Row 139:   17: 0.076799   18: -0.153598   19: 0.076799   32: -1.83881e-16   131: -0.00385189   132: -0.00467573   135: -0.0153479   136: -0.00697493   137: 0.00385189   138: 0.00467573   139: 0.0851569   140: 0.0076799   143: -0.0230516   144: -0.0100564   253: -0.00781072   255: -0.0108922
Row 140:   17: 3.81639e-17   18: -6.80012e-16   19: 1.249e-16   32: 5.20417e-16   131: 0.00383995   132: 0.000513585   135: -0.00383995   136: -0.00204638   137: 0.00383995   138: 0.000513585   139: 0.0076799   140: 0.0289428   143: -0.00383995   144: -0.00307355   253: -0.0015328   255: -0.00358714
Row 141:   4: 0.1108   19: -0.0613734   20: -0.146695   32: 0.0972688   61: -0.0203135   62: -0.00611311   63: -0.0073865   64: -0.00352772   141: 0.0747646   142: -0.0042661   143: -0.0163604   144: 0.00577113   147: -0.00795685   148: 0.00409043   256: -0.00410083   259: -0.00499812
Row 142:   4: -3.81639e-17   19: -2.9924e-16   20: 3.72098e-16   32: -3.46945e-17   61: 0.00553999   62: 0.00270846   63: -0.00553999   64: -0.000984867   141: -0.0042661   142: 0.0229702   143: 0.00486344   144: -0.00218138   147: -0.00486344   148: 0.00106091   256: 0.00172359   259: 0.00112047
Row 143:   18: 0.201129   19: -0.142188   20: 0.115423   32: -0.174364   137: -0.0272306   138: -0.00467573   139: -0.0230516   140: -0.00383995   141: -0.0163604   142: 0.00486344   143: 0.0832428   144: -0.00160879   147: -0.0124953   148: -0.00409043   255: 0.00154075   259: -0.00318274
Row 144:   18: -8.32667e-17   19: -2.00361e-16   20: -5.55112e-17   32: 3.34802e-16   137: 0.0100564   138: 0.00363074   139: -0.0100564   140: -0.00307355   141: 0.00577113   142: -0.00218138   143: -0.00160879   144: 0.0227454   147: -0.00577113   148: -0.00166604   255: 0.000557189   259: 0.000515341
Row 145:   5: 0.0942211   20: -0.077413   21: -0.107223   34: 0.0904152   67: -0.0162642   68: -0.00593117   69: -0.00729109   70: -0.00413655   145: 0.0731269   146: -0.00149052   149: -0.0105417   150: 0.00482356   155: -0.0120622   156: 0.00512766   230: -0.00535666   261: -0.00543046
Row 146:   5: -1.9082e-17   20: -3.60822e-16   21: 3.77302e-16   34: 6.07153e-18   67: 0.00471106   68: 0.00216856   69: -0.00471106   70: -0.000972146   145: -0.00149052   146: 0.0230962   149: 0.00452076   150: -0.00140555   155: -0.00452076   156: 0.00160829   230: 0.00119641   261: -0.000202734
Row 147:   19: 0.0818086   20: -0.103474   32: -0.0930223   34: 0.114688   141: -0.00795685   142: -0.00486344   143: -0.0124953   144: -0.00577113   147: 0.0734865   148: 0.00052258   149: -0.0152987   150: 0.00466017   205: -0.0133732   206: 0.00427505   259: -0.00654414   272: -0.00320085
Row 148:   19: -8.67362e-19   20: -3.81639e-16   32: 4.28477e-16   34: -4.85723e-17   141: 0.00409043   142: 0.00106091   143: -0.00409043   144: -0.00166604   147: 0.00052258   148: 0.0228447   149: 0.00573438   150: -0.00203983   205: -0.00573438   206: 0.00178309   259: -0.000605128   272: 0.000256742
Row 149:   20: -0.0863131   21: 0.0964712   32: 0.0932033   34: -0.103361   145: -0.0105417   146: 0.00452076   147: -0.0152987   148: 0.00573438   149: 0.0728539   150: -0.00085242   155: -0.0135762   156: -0.00512766   205: -0.00800211   206: -0.00427505   261: -0.00482486   272: -0.00534926
Row 150:   20: -3.36103e-16   21: -1.04083e-17   32: -3.1225e-17   34: 3.73399e-16   145: 0.00482356   146: -0.00140555   147: 0.00466017   148: -0.00203983   149: -0.00085242   150: 0.0228191   155: -0.00482356   156: -0.00181015   205: -0.00466017   206: -0.00106695   261: -0.000404601   272: 0.000972881
Row 151:   6: 0.0964985   21: -0.0880292   22: -0.107744   33: 0.0992748   73: -0.0156114   74: -0.00561868   75: -0.00851324   76: -0.00419906   151: 0.072756   152: -0.000985741   153: -0.0113246   154: 0.00453106   161: -0.0134941   162: 0.00496495   232: -0.00499282   260: -0.00453227
Row 152:   6: -1.73472e-17   21: -3.35235e-16   22: 3.38271e-16   33: 1.04083e-17   73: 0.00482492   74: 0.00208152   75: -0.00482492   76: -0.0011351   151: -0.000985741   152: 0.0225766   153: 0.00496374   154: -0.00150995   161: -0.00496374   162: 0.00179921   232: 0.000946418   260: -0.000289257
Row 153:   21: -0.0755245   22: 0.0906212   33: -0.0975796   34: 0.0824828   151: -0.0113246   152: 0.00496374   153: 0.0730324   154: -0.00110276   155: -0.0130703   156: 0.00586652   161: -0.0113307   162: -0.00496495   209: -0.00755045   210: 0.00476256   260: -0.00539763   262: -0.00650495
Row 154:   21: -3.72098e-16   22: -2.77556e-17   33: 4.11129e-16   34: -2.08167e-17   151: 0.00453106   152: -0.00150995   153: -0.00110276   154: 0.0234428   155: 0.00412414   156: -0.0017427   161: -0.00453106   162: -0.00151076   209: -0.00412414   210: 0.00100673   260: -8.03942e-07   262: 0.000735974
Row 155:   20: 0.102553   21: -0.119354   33: 0.11733   34: -0.10053   145: -0.0120622   146: -0.00452076   149: -0.0135762   150: -0.00482356   153: -0.0130703   154: 0.00412414   155: 0.073063   156: 0.000941223   209: -0.0162624   210: -0.00476256   261: -0.00421666   262: -0.00302018
Row 156:   20: -2.25514e-17   21: -3.36536e-16   33: -1.73472e-17   34: 3.69496e-16   145: 0.00512766   146: 0.00160829   149: -0.00512766   150: -0.00181015   153: 0.00586652   154: -0.0017427   155: 0.000941223   156: 0.0218958   209: -0.00586652   210: -0.00216832   261: -0.000201867   262: -0.000425615
Row 157:   7: 0.0982072   22: -0.0555055   23: -0.125692   24: 0.0829906   77: -0.0194765   78: -0.00662566   79: -0.00507535   80: -0.00374544   157: 0.074803   158: -0.00350934   159: -0.0119466   160: 0.00555966   163: -0.00880103   164: 0.00493054   234: -0.00546075   265: -0.00634067
Row 158:   7: -5.11743e-17   22: -3.55185e-16   23: 4.18936e-16   24: -1.21431e-17   77: 0.00491036   78: 0.00259686   79: -0.00491036   80: -0.000676713   157: -0.00350934   158: 0.0238813   159: 0.00414953   160: -0.00159288   163: -0.00414953   164: 0.00117347   234: 0.00192015   265: 0.000419411
Row 159:   22: -0.118983   23: 0.111193   24: -0.0835425   33: 0.0913324   157: -0.0119466   158: 0.00414953   159: 0.0730017   160: 0.00177203   161: -0.00893901   162: 0.00450165   163: -0.0158517   164: -0.00493054   167: -0.0138941   168: 0.00549267   265: -0.00352041   266: -0.0054277
Row 160:   22: -3.39138e-16   23: -1.38778e-17   24: 3.25911e-16   33: 1.73472e-17   157: 0.00555966   158: -0.00159288   159: 0.00177203   160: 0.0224498   161: 0.00456662   162: -0.00119187   163: -0.00555966   164: -0.00211356   167: -0.00456662   168: 0.00185255   265: -0.000520675   266: -0.000660677
Row 161:   21: 0.0992989   22: -0.0995997   24: 0.0900331   33: -0.0897323   151: -0.0134941   152: -0.00496374   153: -0.0113307   154: -0.00453106   159: -0.00893901   160: 0.00456662   161: 0.0725517   162: 0.000493369   167: -0.0135693   168: -0.00549267   260: -0.00452985   266: -0.00555764
Row 162:   21: -3.98986e-17   22: -3.79904e-16   24: 0   33: 4.20237e-16   151: 0.00496495   152: 0.00179921   153: -0.00496495   154: -0.00151076   159: 0.00450165   160: -0.00119187   161: 0.000493369   162: 0.0227096   167: -0.00450165   168: -0.00180923   260: 0.000288453   266: -0.000617366
Row 163:   8: 0.104708   22: 0.0986109   23: -0.156444   24: -0.0468751   83: -0.00291774   84: -0.00338114   85: -0.0232593   86: -0.00744945   157: -0.00880103   158: -0.00414953   159: -0.0158517   160: -0.00555966   163: 0.0767643   164: 0.00547844   237: -0.00559518   265: -0.00477865
Row 164:   8: 1.38778e-16   22: 8.67362e-18   23: -5.10009e-16   24: 3.55618e-16   83: 0.00523541   84: 0.000389032   85: -0.00523541   86: -0.00310124   157: 0.00493054   158: 0.00117347   159: -0.00493054   160: -0.00211356   163: 0.00547844   164: 0.0239284   237: -0.00271221   265: -0.000940087
Row 165:   9: 0.0983955   24: -0.0942456   25: -0.124075   37: 0.119925   89: -0.0116104   90: -0.00462483   91: -0.0129885   92: -0.00490046   165: 0.0737262   166: -0.00149146   169: -0.0194084   170: 0.00540813   175: -0.0105729   176: 0.00364103   239: -0.00460552   274: -0.00305291
Row 166:   9: 3.46945e-17   24: -3.10516e-16   25: 3.1225e-16   37: -3.55618e-17   89: 0.00491978   90: 0.00154805   91: -0.00491978   92: -0.0017318   165: -0.00149146   166: 0.0222131   169: 0.00599625   170: -0.00258778   175: -0.00599625   176: 0.00140972   239: -0.000183757   274: 0.00117807
Row 167:   22: 0.109853   24: -0.103593   33: -0.135259   37: 0.128998   159: -0.0138941   160: -0.00456662   161: -0.0135693   162: -0.00450165   167: 0.0744947   168: -0.0015833   169: -0.0199206   170: 0.00515268   211: -0.0123289   212: 0.00363435   266: -0.00357561   275: -0.00233713
Row 168:   22: -3.46945e-17   24: -2.70183e-16   33: 3.86843e-16   37: -7.63278e-17   159: 0.00549267   160: 0.00185255   161: -0.00549267   162: -0.00180923   167: -0.0015833   168: 0.0218362   169: 0.00644991   170: -0.00265608   211: -0.00644991   212: 0.00164386   266: 4.33118e-05   275: 0.00101222
Row 169:   24: -0.0539003   25: 0.108163   33: 0.103054   37: -0.157316   165: -0.0194084   166: 0.00599625   167: -0.0199206   168: 0.00644991   169: 0.0757059   170: -0.00517078   175: -0.00763227   176: -0.00364103   211: -0.00584281   212: -0.00363435   274: -0.00422915   275: -0.00493157
Row 170:   24: -2.77989e-16   25: -9.54098e-17   33: -5.89806e-17   37: 4.26742e-16   165: 0.00540813   166: -0.00258778   167: 0.00515268   168: -0.00265608   169: -0.00517078   170: 0.0232418   175: -0.00540813   176: -0.00101764   211: -0.00515268   212: -0.000779042   274: 0.00157015   275: 0.00187704
Row 171:   10: 0.105223   25: -0.111385   26: -0.0965358   35: 0.102697   95: -0.00848113   96: -0.00384673   97: -0.0178247   98: -0.00571545   171: 0.073528   172: 0.000742438   173: -0.0156528   174: 0.00528965   179: -0.0100214   180: 0.00416337   241: -0.004301   263: -0.00431818
Row 172:   10: 7.80626e-17   25: -3.65593e-16   26: 3.13551e-16   35: -2.34188e-17   95: 0.00526117   96: 0.00113082   97: -0.00526117   98: -0.00237663   171: 0.000742438   172: 0.0224805   173: 0.00513484   174: -0.00208704   179: -0.00513484   180: 0.00133619   241: -0.00124581   263: 0.000750855
Row 173:   25: -0.113421   26: 0.105793   35: -0.119567   37: 0.127194   171: -0.0156528   172: 0.00513484   173: 0.0740546   174: -0.000307284   175: -0.0142388   176: 0.00400503   179: -0.0107954   180: -0.00416337   219: -0.0175598   220: 0.00466922   263: -0.00400856   276: -0.00231453
Row 174:   25: -2.83627e-16   26: -6.245e-17   35: 3.31766e-16   37: 1.38778e-17   171: 0.00528965   172: -0.00208704   173: -0.000307284   174: 0.0218556   175: 0.00635972   176: -0.00189851   179: -0.00528965   180: -0.00143939   219: -0.00635972   220: 0.0023413   263: 0.000647648   276: -0.000442792
Row 175:   24: 0.0728206   25: -0.0536744   35: 0.0801006   37: -0.0992469   165: -0.0105729   166: -0.00599625   169: -0.00763227   170: -0.00540813   173: -0.0142388   174: 0.00635972   175: 0.0751985   176: -0.00227862   219: -0.00578633   220: -0.00466922   274: -0.00776335   276: -0.00702391
Row 176:   24: -3.64292e-17   25: -4.7011e-16   35: -6.93889e-17   37: 5.75928e-16   165: 0.00364103   166: 0.00140972   169: -0.00364103   170: -0.00101764   173: 0.00400503   174: -0.00189851   175: -0.00227862   176: 0.024982   219: -0.00400503   220: -0.00077151   274: 0.000392082   276: 0.001127
Row 177:   12: 0.0777613   26: -0.0525365   27: -0.124052   35: 0.0988275   105: -0.0185246   106: -0.00799565   107: -0.000915684   108: -0.00447386   177: 0.0769919   178: -0.00357579   179: -0.0124884   180: 0.00477591   183: -0.0122184   184: 0.00472191   258: -0.00858144   264: -0.00455644
Row 178:   12: -7.28584e-17   26: -3.92915e-16   27: 4.66641e-16   35: 8.67362e-19   105: 0.00388807   106: 0.00246995   107: -0.00388807   108: -0.000122091   177: -0.00357579   178: 0.0249105   179: 0.00494137   180: -0.00166512   183: -0.00494137   184: 0.00162912   258: 0.00234786   264: 3.60003e-05
Row 179:   25: 0.0832674   26: -0.0887462   27: 0.0955182   35: -0.0900393   171: -0.0100214   172: -0.00513484   173: -0.0107954   174: -0.00528965   177: -0.0124884   178: 0.00494137   179: 0.0725676   180: -6.4655e-05   183: -0.0113911   184: -0.00472191   263: -0.00626112   264: -0.00488737
Row 180:   25: -2.42861e-17   26: -3.97252e-16   27: -3.1225e-17   35: 4.55799e-16   171: 0.00416337   172: 0.00133619   173: -0.00416337   174: -0.00143939   177: 0.00477591   178: -0.00166512   179: -6.4655e-05   180: 0.0230675   183: -0.00477591   184: -0.00151881   263: -0.000103207   264: 0.00014631
Row 181:   13: 0.0880473   27: -0.133459   28: -0.0450785   35: 0.09049   111: -0.00465584   112: -0.00414054   113: -0.017356   114: -0.00668057   181: 0.0751867   182: 0.00441902   183: -0.00661378   184: 0.00422385   187: -0.0160087   188: 0.00610284   245: -0.00641875   270: -0.00580218
Row 182:   13: 9.19403e-17   27: -4.70977e-16   28: 3.34151e-16   35: 4.25007e-17   111: 0.00440236   112: 0.000620779   113: -0.00440236   114: -0.00231413   181: 0.00441902   182: 0.0241234   183: 0.0045245   184: -0.000881837   187: -0.0045245   188: 0.0021345   245: -0.00169335   270: -0.00125266
Row 183:   26: 0.0944382   27: -0.103586   28: 0.0844769   35: -0.0753288   177: -0.0122184   178: -0.00494137   179: -0.0113911   180: -0.00477591   181: -0.00661378   182: 0.0045245   183: 0.0732259   184: 0.00141287   187: -0.0145055   188: -0.00610284   264: -0.00499537   270: -0.00640349
Row 184:   26: -2.94903e-17   27: -4.21538e-16   28: 2.08167e-17   35: 4.30211e-16   177: 0.00472191   178: 0.00162912   179: -0.00472191   180: -0.00151881   181: 0.00422385   182: -0.000881837   183: 0.00141287   184: 0.0233265   187: -0.00422385   188: -0.00193406   264: 0.00011031   270: -0.00105222
Row 185:   14: 0.0941536   28: -0.0400872   29: -0.133883   36: 0.079817   117: -0.0203459   118: -0.00720509   119: -0.00319254   120: -0.00377443   185: 0.0764314   186: -0.00468981   189: -0.013125   190: 0.00607683   195: -0.00682926   196: 0.00481769   247: -0.00627184   269: -0.00690367
Row 186:   14: -7.28584e-17   28: -3.68195e-16   29: 4.74447e-16   36: -2.51535e-17   117: 0.00470768   118: 0.00271278   119: -0.00470768   120: -0.000425672   185: -0.00468981   186: 0.0247736   189: 0.00399085   190: -0.00175   195: -0.00399085   196: 0.000910568   247: 0.00228711   269: 0.00083943
Row 187:   27: 0.122057   28: -0.0863546   35: -0.136673   38: 0.100971   181: -0.0160087   182: -0.0045245   183: -0.0145055   184: -0.00422385   187: 0.0744692   188: -0.00251594   191: -0.0181596   192: 0.00605162   221: -0.00708319   222: 0.00383634   270: -0.00264551   280: -0.0048394
Row 188:   27: -4.33681e-17   28: -3.05745e-16   35: 4.38451e-16   38: -9.02056e-17   181: 0.00610284   182: 0.0021345   183: -0.00610284   184: -0.00193406   187: -0.00251594   188: 0.0223534   191: 0.00504856   192: -0.00242128   221: -0.00504856   222: 0.000944425   270: 0.000200436   280: 0.00147685
Row 189:   28: -0.108835   29: 0.121537   36: -0.113163   38: 0.100462   185: -0.013125   186: 0.00399085   189: 0.0736021   190: -0.000216382   191: -0.0151658   192: 0.00528781   195: -0.0172592   196: -0.00481769   223: -0.00994967   224: 0.00424459   269: -0.0027317   281: -0.00450931
Row 190:   28: -2.77989e-16   29: -2.08167e-17   36: 3.24393e-16   38: -2.68882e-17   185: 0.00607683   186: -0.00175   189: -0.000216382   190: 0.0220409   191: 0.00502309   192: -0.0020221   195: -0.00607683   196: -0.00230122   223: -0.00502309   224: 0.00132662   269: -0.000551225   281: 0.00069548
Row 191:   28: -0.0934871   35: 0.121032   36: 0.105756   38: -0.133301   187: -0.0181596   188: 0.00504856   189: -0.0151658   190: 0.00502309   191: 0.07373   192: -0.00199072   221: -0.0120985   222: -0.00383634   223: -0.0112733   224: -0.00424459   280: -0.00283327   281: -0.00397987
Row 192:   28: -2.68882e-16   35: -2.86229e-17   36: -4.85723e-17   38: 3.4998e-16   187: 0.00605162   188: -0.00242128   189: 0.00528781   190: -0.0020221   191: -0.00199072   192: 0.0219324   221: -0.00605162   222: -0.00161313   223: -0.00528781   224: -0.0015031   280: 0.000808145   281: 0.000519
Row 193:   15: 0.0808401   29: -0.0832396   30: -0.0628419   36: 0.0652415   121: -0.0128264   122: -0.00592323   123: -0.00738366   124: -0.00483469   193: 0.0775466   194: 0.00101989   195: -0.00288412   196: 0.00542411   199: -0.0134262   200: 0.00753253   249: -0.00671592   267: -0.00969457
Row 194:   15: -1.04083e-17   29: -4.92661e-16   30: 4.54281e-16   36: 4.59702e-17   121: 0.004042   122: 0.00171018   123: -0.004042   124: -0.000984488   193: 0.00101989   194: 0.0261493   195: 0.00326207   196: -0.00038455   199: -0.00326207   200: 0.00179017   249: 0.000725692   267: -0.00140562
Row 195:   28: 0.0963537   29: -0.165982   30: 0.108482   36: -0.0388535   185: -0.00682926   186: -0.00399085   189: -0.0172592   190: -0.00607683   193: -0.00288412   194: 0.00326207   195: 0.0777602   196: 0.00635644   199: -0.0242364   200: -0.00753253   267: -0.0053705   269: -0.00524999
Row 196:   28: 2.77556e-17   29: -4.84855e-16   30: 9.02056e-17   36: 3.62557e-16   185: 0.00481769   186: 0.000910568   189: -0.00481769   190: -0.00230122   193: 0.00542411   194: -0.00038455   195: 0.00635644   196: 0.0242762   199: -0.00542411   200: -0.00323152   267: -0.00284697   269: -0.00139066
Row 197:   16: 0.0904872   30: -0.0687924   31: -0.100344   36: 0.078649   127: -0.00659526   128: -0.00422181   129: -0.0160265   130: -0.00610807   197: 0.0777703   198: -0.00157757   199: -0.0184907   200: 0.00789262   203: -0.00117156   204: 0.00442879   252: -0.00580553   268: -0.00838896
Row 198:   16: 7.97973e-17   30: -4.41487e-16   31: 4.44523e-16   36: -6.85216e-17   127: 0.00452436   128: 0.000879368   129: -0.00452436   130: -0.00213687   197: -0.00157757   198: 0.0254702   199: 0.00393245   200: -0.00246543   203: -0.00393245   204: 0.000156209   252: -0.0012575   268: 0.00230922
Row 199:   29: 0.150651   30: -0.180835   31: 0.157852   36: -0.127668   193: -0.0134262   194: -0.00326207   195: -0.0242364   196: -0.00542411   197: -0.0184907   198: 0.00393245   199: 0.0811814   200: 0.00265838   203: -0.0209724   204: -0.00442879   267: -0.00115365   268: -0.000468626
Row 200:   29: 1.56125e-17   30: -2.3332e-16   31: -3.1225e-17   36: 2.5327e-16   193: 0.00753253   194: 0.00179017   195: -0.00753253   196: -0.00323152   197: 0.00789262   198: -0.00246543   199: 0.00265838   200: 0.0221891   203: -0.00789262   204: -0.00279632   267: -0.00144136   268: -0.000330893
Row 201:   17: 0.12808   31: -0.195221   32: -0.0398024   36: 0.106943   133: -0.00467048   134: -0.00284722   135: -0.0273496   136: -0.00738304   201: 0.0803181   202: 0.00777092   203: -0.00528012   204: 0.00345536   207: -0.0214556   208: 0.00669045   254: -0.00382625   271: -0.00479866
Row 202:   17: 1.63064e-16   31: -4.78784e-16   32: 2.41343e-16   36: 6.85216e-17   133: 0.00640402   134: 0.000622731   135: -0.00640402   136: -0.00364661   201: 0.00777092   202: 0.0242931   203: 0.00534715   204: -0.000704017   207: -0.00534715   208: 0.00286075   254: -0.00302388   271: -0.00215673
Row 203:   30: 0.0885758   31: -0.131876   32: 0.0691071   36: -0.0258068   197: -0.00117156   198: -0.00393245   199: -0.0209724   200: -0.00789262   201: -0.00528012   202: 0.00534715   203: 0.0793671   204: 0.00530347   207: -0.0119967   208: -0.00669045   268: -0.00739628   271: -0.00858224
Row 204:   30: 8.06646e-17   31: -5.81132e-16   32: 1.56125e-17   36: 4.78784e-16   197: 0.00442879   198: 0.000156209   199: -0.00442879   200: -0.00279632   201: 0.00345536   202: -0.000704017   203: 0.00530347   204: 0.0264907   207: -0.00345536   208: -0.00159955   268: -0.00264011   271: -0.000895538
Row 205:   20: 0.0855011   32: -0.0718724   34: -0.0897809   36: 0.0761522   147: -0.0133732   148: -0.00573438   149: -0.00800211   150: -0.00466017   205: 0.0737609   206: -0.000895423   207: -0.00907206   208: 0.00542419   215: -0.00996599   216: 0.00560298   272: -0.00611949   273: -0.00721956
Row 206:   20: -2.60209e-18   32: -4.16334e-16   34: 4.19803e-16   36: 1.73472e-18   147: 0.00427505   148: 0.00178309   149: -0.00427505   150: -0.00106695   205: -0.000895423   206: 0.0241159   207: 0.00380761   208: -0.00120961   215: -0.00380761   216: 0.0013288   272: 0.000716139   273: -0.00011919
Row 207:   31: 0.133809   32: -0.120182   34: 0.108484   36: -0.122111   201: -0.0214556   202: -0.00534715   203: -0.0119967   204: -0.00345536   205: -0.00907206   206: 0.00380761   207: 0.0758193   208: -9.64209e-05   215: -0.0180489   216: -0.00560298   271: -0.00211205   273: -0.00398639
Row 208:   31: -9.36751e-17   32: -2.93168e-16   34: 2.08167e-17   36: 3.65376e-16   201: 0.00669045   202: 0.00286075   203: -0.00669045   204: -0.00159955   205: 0.00542419   206: -0.00120961   207: -9.64209e-05   208: 0.0222513   215: -0.00542419   216: -0.00240652   271: 0.00126119   273: -0.00119691
Row 209:   21: 0.0952513   33: -0.105243   34: -0.083047   38: 0.0930384   153: -0.00755045   154: -0.00412414   155: -0.0162624   156: -0.00586652   209: 0.0730955   210: 0.00110978   213: -0.0132113   214: 0.00523282   217: -0.0100483   218: 0.00460022   262: -0.0052281   277: -0.00518112
Row 210:   21: 2.42861e-17   33: -3.98986e-16   34: 4.26742e-16   38: -4.33681e-17   153: 0.00476256   154: 0.00100673   155: -0.00476256   156: -0.00216832   209: 0.00110978   210: 0.0229619   213: 0.00465192   214: -0.00176151   217: -0.00465192   218: 0.00133977   262: -0.00116159   277: 0.000421735
Row 211:   24: 0.072687   33: -0.0419266   37: -0.108677   38: 0.0779166   167: -0.0123289   168: -0.00644991   169: -0.00584281   170: -0.00515268   211: 0.076319   212: -0.00333752   213: -0.0148403   214: 0.00671757   225: -0.00463885   226: 0.00467727   275: -0.00796824   279: -0.00749901
Row 212:   24: -1.38778e-17   33: -4.26308e-16   37: 4.82687e-16   38: -4.25007e-17   167: 0.00363435   168: 0.00164386   169: -0.00363435   170: -0.000779042   211: -0.00333752   212: 0.0255075   213: 0.00389583   214: -0.00197871   225: -0.00389583   226: 0.000618513   275: 0.000864816   279: 0.0013602
Row 213:   33: -0.126801   34: 0.104656   37: 0.134351   38: -0.112206   209: -0.0132113   210: 0.00465192   211: -0.0148403   212: 0.00389583   213: 0.0744391   214: 0.000729743   217: -0.0129528   218: -0.00460022   225: -0.0187475   226: -0.00467727   277: -0.00401931   279: -0.00185554
Row 214:   33: -2.79724e-16   34: 0   37: -1.38778e-17   38: 2.94036e-16   209: 0.00523282   210: -0.00176151   211: 0.00671757   212: -0.00197871   213: 0.000729743   214: 0.0218087   217: -0.00523282   218: -0.00172704   225: -0.00671757   226: -0.00249967   277: 3.44666e-05   279: -0.000520962
Row 215:   32: 0.11206   34: -0.140852   36: -0.101772   38: 0.130564   205: -0.00996599   206: -0.00380761   207: -0.0180489   208: -0.00542419   215: 0.0748865   216: 0.001954   217: -0.015477   218: 0.0041271   223: -0.0171641   224: 0.00446452   273: -0.00362882   278: -0.00206341
Row 216:   32: 1.21431e-17   34: -3.11383e-16   36: 3.26128e-16   38: -2.77556e-17   205: 0.00560298   206: 0.0013288   207: -0.00560298   208: -0.00240652   215: 0.001954   216: 0.0218672   217: 0.00652821   218: -0.0020636   223: -0.00652821   224: 0.00228854   273: -0.00107772   278: -0.000224942
Row 217:   33: 0.0920044   34: -0.0724453   36: 0.0825421   38: -0.102101   209: -0.0100483   210: -0.00465192   213: -0.0129528   214: -0.00523282   215: -0.015477   216: 0.00652821   217: 0.074012   218: -0.00148279   223: -0.00515852   224: -0.00446452   277: -0.00528452   278: -0.00686563
Row 218:   33: 4.85723e-17   34: -4.00071e-16   36: -4.51028e-17   38: 4.05925e-16   209: 0.00460022   210: 0.00133977   213: -0.00460022   214: -0.00172704   215: 0.0041271   216: -0.0020636   217: -0.00148279   218: 0.0237866   223: -0.0041271   224: -0.000687803   277: -0.000387269   278: 0.0013758
Row 219:   25: 0.0933844   35: -0.0640386   37: -0.118715   38: 0.0893687   173: -0.0175598   174: -0.00635972   175: -0.00578633   176: -0.00400503   219: 0.0738082   220: -0.0027338   221: -0.0121189   222: 0.00519998   225: -0.0102233   226: 0.00482087   276: -0.00569553   282: -0.00555242
Row 220:   25: -9.02056e-17   35: -3.76435e-16   37: 4.96998e-16   38: -3.64292e-17   173: 0.00466922   174: 0.0023413   175: -0.00466922   176: -0.00077151   219: -0.0027338   220: 0.0234315   221: 0.00446843   222: -0.00161585   225: -0.00446843   226: 0.00136311   276: 0.00156979   282: 0.000252739
Row 221:   28: 0.0767268   35: -0.103918   37: 0.104   38: -0.0768082   187: -0.00708319   188: -0.00504856   191: -0.0120985   192: -0.00605162   219: -0.0121189   220: 0.00446843   221: 0.0735645   222: 0.0013555   225: -0.0138811   226: -0.00482087   280: -0.00726384   282: -0.00408933
Row 222:   28: 4.85723e-17   35: -4.2414e-16   37: 1.21431e-17   38: 3.72098e-16   187: 0.00383634   188: 0.000944425   191: -0.00383634   192: -0.00161313   219: 0.00519998   220: -0.00161585   221: 0.0013555   222: 0.0234016   225: -0.00519998   226: -0.00185081   280: -0.00066871   282: -0.00023496
Row 223:   28: 0.0848918   34: 0.0892903   36: -0.0657272   38: -0.108455   189: -0.00994967   190: -0.00502309   191: -0.0112733   192: -0.00528781   215: -0.0171641   216: -0.00652821   217: -0.00515852   218: -0.0041271   223: 0.0741883   224: -0.00213639   278: -0.0061908   281: -0.00606631
Row 224:   28: -2.08167e-17   34: -3.98986e-17   36: -4.17201e-16   38: 4.75314e-16   189: 0.00424459   190: 0.00132662   191: -0.00424459   192: -0.0015031   215: 0.00446452   216: 0.00228854   217: -0.00446452   218: -0.000687803   223: -0.00213639   224: 0.0238693   278: 0.00160074   281: -0.00017648
Row 225:   33: 0.0935455   35: 0.0964175   37: -0.130514   38: -0.0594486   211: -0.00463885   212: -0.00389583   213: -0.0187475   214: -0.00671757   219: -0.0102233   220: -0.00446843   221: -0.0138811   222: -0.00519998   225: 0.0744499   226: 0.00355328   279: -0.00593612   282: -0.00484754
Row 226:   33: 5.0307e-17   35: 4.68375e-17   37: -4.60569e-16   38: 3.68629e-16   211: 0.00467727   212: 0.000618513   213: -0.00467727   214: -0.00249967   219: 0.00482087   220: 0.00136311   221: -0.00482087   222: -0.00185081   225: 0.00355328   226: 0.0234479   279: -0.00188116   282: -0.000487698
Row 227:   0: -4.85723e-17   4: 0   19: 5.20417e-17   39: -0.00833333   40: -0.00277778   41: -0.00833333   42: -0.00277778   61: -1.82146e-17   62: 1.57751e-17   227: 0.0111111
Row 228:   4: -3.1225e-17   5: -1.9082e-17   20: 4.85723e-17   59: -0.00662045   60: -0.000840252   63: -0.00535736   64: -0.00126128   67: -0.0028366   68: -0.000421028   228: 0.00987628
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Row 250:   3: -8.67362e-18   16: -6.07153e-17   30: 6.76542e-17   55: -0.00561463   56: 0.00243773   57: -0.00142173   58: 0.00104009   127: -0.00873491   128: -0.00139763   250: 0.0105142
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Row 252:   16: -4.85723e-17   30: 7.97973e-17   31: -3.51282e-17   127: -0.00641062   128: 0.00105581   129: -0.0026381   130: -0.000201697   197: -0.00580553   198: -0.0012575   252: 0.00990283
Row 253:   17: -1.04083e-17   18: -5.37764e-17   32: 6.245e-17   131: -0.00613915   132: 0.00208999   135: -0.00154075   136: 0.000557189   139: -0.00781072   140: -0.0015328   253: 0.0103271
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Row 265:   22: -1.73472e-17   23: -3.46945e-17   24: 5.0307e-17   157: -0.00634067   158: 0.000419411   159: -0.00352041   160: -0.000520675   163: -0.00477865   164: -0.000940087   265: 0.00975982
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Row 277:   33: -3.1225e-17   34: 6.93889e-17   38: -3.20924e-17   209: -0.00518112   210: 0.000421735   213: -0.00401931   214: 3.44666e-05   217: -0.00528452   218: -0.000387269   277: 0.00965664
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Row 280:   28: -2.77556e-17   35: 7.45931e-17   38: -4.64039e-17   187: -0.0048394   188: 0.00147685   191: -0.00283327   192: 0.000808145   221: -0.00726384   222: -0.00066871   280: 0.00995768
Row 281:   28: -2.42861e-17   36: -4.68375e-17   38: 6.76542e-17   189: -0.00450931   190: 0.00069548   191: -0.00397987   192: 0.000519   223: -0.00606631   224: -0.00017648   281: 0.00970366
Row 282:   35: -2.77556e-17   37: 5.89806e-17   38: -3.38271e-17   219: -0.00555242   220: 0.000252739   221: -0.00408933   222: -0.00023496   225: -0.00484754   226: -0.000487698   282: 0.00965953



Solve the problem:

[6]:

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


Plot the solution:

[7]:

Draw (gfu, mesh)

[7]:



[8]:

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

[8]:




Calculate error:

[9]:

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

L2-error: 5.260470162773598e-05

[ ]: