This page was generated from unit-3.1-parabolic/parabolic.ipynb.
3.1 Parabolic model problem¶
We are solving the unsteady heat equation
\[\text{find } u:[0,T] \to H_{0,D}^1 \quad \int_{\Omega} \partial_t u v + \int_{\Omega} \nabla u \nabla v + b \cdot \nabla u v = \int f v \quad \forall v \in H_{0,D}^1, \quad u(t=0) = u_0\]
with a suitable advective field \(b\) (the wind).
[1]:
from ngsolve import *
import netgen.gui
from math import pi
from netgen.geom2d import SplineGeometry
Geometry: \((-1,1)^2\)
Dirichlet boundaries everywhere
Mesh
[2]:
geo = SplineGeometry()
geo.AddRectangle( (-1, -1), (1, 1),
bcs = ("bottom", "right", "top", "left"))
mesh = Mesh( geo.GenerateMesh(maxh=0.25))
Draw(mesh)
fes = H1(mesh, order=3, dirichlet="bottom|right|left|top")
u,v = fes.TnT()
time = 0.0
dt = 0.001
We define the field \(b\) (the wind) as
\[b(x,y) := (2y(1-x^2),-2x(1-y^2)).\]
[3]:
b = CoefficientFunction((2*y*(1-x*x),-2*x*(1-y*y)))
Draw(b,mesh,"wind")
from ngsolve.internal import visoptions
visoptions.scalfunction = "wind:0"
bilinear forms for
convection-diffusion stiffness and
mass matrix seperately.
non-symmetric memory layout for the mass matrix so that a and m have the same sparsity pattern.
[4]:
a = BilinearForm(fes, symmetric=False)
a += 0.01*grad(u)*grad(v)*dx + b*grad(u)*v*dx
a.Assemble()
m = BilinearForm(fes, symmetric=False)
m += u*v*dx
m.Assemble()
[4]:
<ngsolve.comp.BilinearForm at 0x7fe1900c64b0>
Implicit Euler method¶
\[\underbrace{(M + \Delta t A)}_{M^\ast} u^{n+1} = M u^n + \Delta tf^{n+1}\]
or in an incremental form:
\[M^\ast (u^{n+1} - u^n) = - \Delta t A u^n + \Delta tf^{n+1}.\]
Incremental form: \(u^{n+1} - u^n\) has homogeneous boundary conditions (unless boundary conditions are time-dependent).
For the time stepping method: set up linear combinations of matrices.
(Only) if the sparsity pattern of the matrices agree we can copy the pattern and sum up the entries.
First, we create a matrix of the same size and sparsity pattern as m.mat:
[5]:
mstar = m.mat.CreateMatrix()
print(m.mat.nze, a.mat.nze, mstar.nze)
print(mstar)
11257 11257 11257
Row 0: 0: 0.00520833 4: 0.00260417 31: 0.00260417 89: -0.000520833 90: 8.68056e-05 91: -0.000520833 92: 8.68056e-05 111: -0.000260417 112: -1.32137e-19 553: 0.000173611
Row 1: 1: 0.00864932 10: 0.0021968 11: 0.00212786 38: 0.00432466 93: -0.000439361 94: 7.32268e-05 95: -0.000425571 96: 7.09286e-05 97: -0.000864932 98: 0.000144155 147: -0.00021968 148: 1.11808e-19 151: -0.000212786 152: -1.0842e-19 565: 0.000146454 567: 0.000141857
Row 2: 2: 0.00520833 17: 0.00260417 18: 0.00260417 99: -0.000520833 100: 8.68056e-05 101: -0.000520833 102: 8.68056e-05 185: -0.000260417 186: 1.32137e-19 580: 0.000173611
Row 3: 3: 0.00838017 24: 0.0021202 25: 0.00206988 51: 0.00419009 103: -0.000424041 104: 7.06735e-05 105: -0.000413976 106: 6.89961e-05 107: -0.000838017 108: 0.00013967 227: -0.00021202 228: 1.06726e-19 231: -0.000206988 232: -1.05879e-19 592: 0.000141347 594: 0.000137992
Row 4: 0: 0.00260417 4: 0.0178479 5: 0.00266198 31: 0.00626195 32: 0.00631976 89: -0.000520833 90: -8.68056e-05 91: -0.000260417 92: -1.40607e-19 109: -0.000532397 110: 8.87328e-05 111: -0.00125239 112: 0.000208732 113: -0.00126395 114: 0.000210659 117: -0.000266198 118: -1.33831e-19 263: -0.000365778 264: 1.89735e-19 553: 0.000173611 554: 0.000177466 606: 0.000243852
Row 5: 4: 0.00266198 5: 0.0162432 6: 0.00257966 32: 0.00554195 33: 0.00545963 109: -0.000532397 110: -8.87328e-05 113: -0.000266198 114: -1.4569e-19 115: -0.000515932 116: 8.59887e-05 117: -0.00110839 118: 0.000184732 119: -0.00109193 120: 0.000181988 123: -0.000257966 124: -1.28749e-19 267: -0.000287997 268: 1.49078e-19 554: 0.000177466 555: 0.000171977 556: 0.000191998
Row 6: 5: 0.00257966 6: 0.0153371 7: 0.00250481 33: 0.00516376 34: 0.0050889 115: -0.000515932 116: -8.59887e-05 119: -0.000257966 120: -1.38913e-19 121: -0.000500961 122: 8.34936e-05 123: -0.00103275 124: 0.000172125 125: -0.00101778 126: 0.00016963 129: -0.000250481 130: -1.28749e-19 273: -0.00025841 274: 1.33831e-19 555: 0.000171977 557: 0.000166987 558: 0.000172273
Row 7: 6: 0.00250481 7: 0.0143369 8: 0.00231617 34: 0.00485228 35: 0.00466364 121: -0.000500961 122: -8.34936e-05 125: -0.000250481 126: -1.33831e-19 127: -0.000463234 128: 7.72056e-05 129: -0.000970455 130: 0.000161743 131: -0.000932728 132: 0.000155455 135: -0.000231617 136: -1.18585e-19 279: -0.000234747 280: 1.20279e-19 557: 0.000166987 559: 0.000154411 560: 0.000156498
Row 8: 7: 0.00231617 8: 0.0126535 9: 0.00202786 35: 0.00429888 36: 0.00401057 127: -0.000463234 128: -7.72056e-05 131: -0.000231617 132: -1.27055e-19 133: -0.000405571 134: 6.75952e-05 135: -0.000859776 136: 0.000143296 137: -0.000802113 138: 0.000133686 141: -0.000202786 142: -1.03338e-19 285: -0.000198271 286: 1.01644e-19 559: 0.000154411 561: 0.00013519 562: 0.000132181
Row 9: 8: 0.00202786 9: 0.0117007 10: 0.00198252 36: 0.00386781 37: 0.00382247 133: -0.000405571 134: -6.75952e-05 137: -0.000202786 138: -1.10114e-19 139: -0.000396504 140: 6.6084e-05 141: -0.000773562 142: 0.000128927 143: -0.000764495 144: 0.000127416 145: -0.000198252 146: -1.01644e-19 291: -0.000183995 292: 9.40207e-20 561: 0.00013519 563: 0.000132168 564: 0.000122664
Row 10: 1: 0.0021968 9: 0.00198252 10: 0.0120841 37: 0.00384522 38: 0.00405951 93: -0.000439361 94: -7.32268e-05 97: -0.00021968 98: -3.38813e-21 139: -0.000396504 140: -6.6084e-05 143: -0.000198252 144: -1.10114e-19 145: -0.000769044 146: 0.000128174 147: -0.000811901 148: 0.000135317 297: -0.00018627 298: 9.65618e-20 563: 0.000132168 565: 0.000146454 566: 0.00012418
Row 11: 1: 0.00212786 11: 0.0116925 12: 0.00185482 38: 0.00399143 39: 0.0037184 95: -0.000425571 96: -7.09286e-05 97: -0.000212786 98: -1.16891e-19 149: -0.000370965 150: 6.18274e-05 151: -0.000798287 152: 0.000133048 153: -0.00074368 154: 0.000123947 157: -0.000185482 158: -9.48677e-20 303: -0.000186358 304: 9.57147e-20 567: 0.000141857 568: 0.000123655 569: 0.000124239
Row 12: 11: 0.00185482 12: 0.0108975 13: 0.00186098 39: 0.00358779 40: 0.00359395 149: -0.000370965 150: -6.18274e-05 153: -0.000185482 154: -9.99499e-20 155: -0.000372196 156: 6.20327e-05 157: -0.000717558 158: 0.000119593 159: -0.00071879 160: 0.000119798 163: -0.000186098 164: -9.31736e-20 307: -0.000173297 308: 8.80914e-20 568: 0.000123655 570: 0.000124065 571: 0.000115531
Row 13: 12: 0.00186098 13: 0.0116233 14: 0.0021075 40: 0.00370416 41: 0.00395068 155: -0.000372196 156: -6.20327e-05 159: -0.000186098 160: -9.99499e-20 161: -0.000421501 162: 7.02501e-05 163: -0.000740831 164: 0.000123472 165: -0.000790135 166: 0.000131689 169: -0.00021075 170: -1.06726e-19 313: -0.000184317 314: 9.57147e-20 570: 0.000124065 572: 0.0001405 573: 0.000122878
Row 14: 13: 0.0021075 14: 0.0130311 15: 0.002269 41: 0.00424654 42: 0.00440804 161: -0.000421501 162: -7.02501e-05 165: -0.00021075 166: -1.16891e-19 167: -0.0004538 168: 7.56334e-05 169: -0.000849308 170: 0.000141551 171: -0.000881608 172: 0.000146935 175: -0.0002269 176: -1.15196e-19 319: -0.000213904 320: 1.06726e-19 572: 0.0001405 574: 0.000151267 575: 0.000142603
Row 15: 14: 0.002269 15: 0.0137996 16: 0.00230137 42: 0.00459841 43: 0.00463078 167: -0.0004538 168: -7.56334e-05 171: -0.0002269 172: -1.25361e-19 173: -0.000460274 174: 7.67123e-05 175: -0.000919682 176: 0.00015328 177: -0.000926155 178: 0.000154359 181: -0.000230137 182: -1.20279e-19 325: -0.000232941 326: 1.18585e-19 574: 0.000151267 576: 0.000153425 577: 0.000155294
Row 16: 15: 0.00230137 16: 0.0136559 17: 0.00218711 43: 0.00464083 44: 0.00452657 173: -0.000460274 174: -7.67123e-05 177: -0.000230137 178: -1.27055e-19 179: -0.000437421 180: 7.29035e-05 181: -0.000928166 182: 0.000154694 183: -0.000905313 184: 0.000150886 187: -0.000218711 188: -1.13502e-19 331: -0.000233946 332: 1.16891e-19 576: 0.000153425 578: 0.000145807 579: 0.000155964
Row 17: 2: 0.00260417 16: 0.00218711 17: 0.0157177 18: 0.00567173 44: 0.00525467 99: -0.000520833 100: -8.68056e-05 101: -0.000260417 102: -8.47033e-21 179: -0.000437421 180: -7.29035e-05 183: -0.000218711 184: -1.18585e-19 185: -0.00113435 186: 0.000189058 187: -0.00105093 188: 0.000175156 191: -0.000306756 192: -1.55854e-19 578: 0.000145807 580: 0.000173611 607: 0.000204504
Row 18: 2: 0.00260417 17: 0.00567173 18: 0.0203578 19: 0.00209386 44: 0.0054809 45: 0.0045072 99: -0.000260417 100: -1.40607e-19 101: -0.000520833 102: -8.68056e-05 185: -0.00113435 186: -0.000189058 187: -0.000306756 188: -1.64324e-19 189: -0.000418771 190: 6.97952e-05 191: -0.00109618 192: 0.000182697 193: -0.000901439 194: 0.00015024 197: -0.000209386 198: -1.07573e-19 337: -0.000241334 338: 1.23667e-19 580: 0.000173611 581: 0.00013959 607: 0.000204504 608: 0.000160889
Row 19: 18: 0.00209386 19: 0.0130814 20: 0.00246751 45: 0.00407319 46: 0.00444684 189: -0.000418771 190: -6.97952e-05 193: -0.000209386 194: -1.13502e-19 195: -0.000493503 196: 8.22504e-05 197: -0.000814637 198: 0.000135773 199: -0.000889369 200: 0.000148228 203: -0.000246751 204: -1.27055e-19 341: -0.000197933 342: 1.01644e-19 581: 0.00013959 582: 0.000164501 583: 0.000131955
Row 20: 19: 0.00246751 20: 0.0148668 21: 0.00253933 46: 0.00489406 47: 0.00496588 195: -0.000493503 196: -8.22504e-05 199: -0.000246751 200: -1.33831e-19 201: -0.000507866 202: 8.46444e-05 203: -0.000978813 204: 0.000163135 205: -0.000993176 206: 0.000165529 209: -0.000253933 210: -1.30443e-19 345: -0.000242655 346: 1.23667e-19 582: 0.000164501 584: 0.000169289 585: 0.00016177
Row 21: 20: 0.00253933 21: 0.0147047 22: 0.00237875 47: 0.00497358 48: 0.004813 201: -0.000507866 202: -8.46444e-05 205: -0.000253933 206: -1.35525e-19 207: -0.00047575 208: 7.92917e-05 209: -0.000994716 210: 0.000165786 211: -0.0009626 212: 0.000160433 215: -0.000237875 216: -1.21973e-19 351: -0.000243425 352: 1.27055e-19 584: 0.000169289 586: 0.000158583 587: 0.000162283
Row 22: 21: 0.00237875 22: 0.0135233 23: 0.00220132 48: 0.00456035 49: 0.00438292 207: -0.00047575 208: -7.92917e-05 211: -0.000237875 212: -1.30443e-19 213: -0.000440264 214: 7.33774e-05 215: -0.00091207 216: 0.000152012 217: -0.000876585 218: 0.000146097 221: -0.000220132 222: -1.13502e-19 357: -0.00021816 358: 1.10114e-19 586: 0.000158583 588: 0.000146755 589: 0.00014544
Row 23: 22: 0.00220132 23: 0.0121689 24: 0.00199356 49: 0.0040909 50: 0.00388313 213: -0.000440264 214: -7.33774e-05 217: -0.000220132 218: -1.18585e-19 219: -0.000398711 220: 6.64519e-05 221: -0.000818179 222: 0.000136363 223: -0.000776626 224: 0.000129438 225: -0.000199356 226: -9.99499e-20 363: -0.000188957 364: 9.91029e-20 588: 0.000146755 590: 0.000132904 591: 0.000125972
Row 24: 3: 0.0021202 23: 0.00199356 24: 0.0119838 50: 0.00387167 51: 0.00399832 103: -0.000424041 104: -7.06735e-05 107: -0.00021202 108: -1.69407e-21 219: -0.000398711 220: -6.64519e-05 223: -0.000199356 224: -1.10114e-19 225: -0.000774334 226: 0.000129056 227: -0.000799664 228: 0.000133277 369: -0.000187812 370: 9.74088e-20 590: 0.000132904 592: 0.000141347 593: 0.000125208
Row 25: 3: 0.00206988 25: 0.0116385 26: 0.00188344 51: 0.0039358 52: 0.00374936 105: -0.000413976 106: -6.89961e-05 107: -0.000206988 108: -1.11808e-19 229: -0.000376688 230: 6.27814e-05 231: -0.00078716 232: 0.000131193 233: -0.000749873 234: 0.000124979 237: -0.000188344 238: -9.65618e-20 375: -0.000186592 376: 9.65618e-20 594: 0.000137992 595: 0.000125563 596: 0.000124395
Row 26: 25: 0.00188344 26: 0.0114438 27: 0.00203762 52: 0.00368429 53: 0.00383847 229: -0.000376688 230: -6.27814e-05 233: -0.000188344 234: -1.03338e-19 235: -0.000407524 236: 6.79206e-05 237: -0.000736858 238: 0.00012281 239: -0.000767694 240: 0.000127949 243: -0.000203762 244: -1.05032e-19 379: -0.000180085 380: 9.06325e-20 595: 0.000125563 597: 0.000135841 598: 0.000120057
Row 27: 26: 0.00203762 27: 0.0123403 28: 0.00211603 53: 0.00405413 54: 0.00413254 235: -0.000407524 236: -6.79206e-05 239: -0.000203762 240: -1.11808e-19 241: -0.000423207 242: 7.05344e-05 243: -0.000810825 244: 0.000135138 245: -0.000826508 246: 0.000137751 249: -0.000211603 250: -1.05879e-19 385: -0.000201651 386: 1.01644e-19 597: 0.000135841 599: 0.000141069 600: 0.000134434
Row 28: 27: 0.00211603 28: 0.0127379 29: 0.00211513 54: 0.00425383 55: 0.00425292 241: -0.000423207 242: -7.05344e-05 245: -0.000211603 246: -1.15196e-19 247: -0.000423026 248: 7.05043e-05 249: -0.000850766 250: 0.000141794 251: -0.000850585 252: 0.000141764 255: -0.000211513 256: -1.07573e-19 391: -0.00021378 392: 1.09267e-19 599: 0.000141069 601: 0.000141009 602: 0.00014252
Row 29: 28: 0.00211513 29: 0.0142439 30: 0.00233526 55: 0.00478668 56: 0.00500681 247: -0.000423026 248: -7.05043e-05 251: -0.000211513 252: -1.13502e-19 253: -0.000467051 254: 7.78419e-05 255: -0.000957337 256: 0.000159556 257: -0.00100136 258: 0.000166894 261: -0.000233526 262: -1.20279e-19 397: -0.000267156 398: 1.32137e-19 601: 0.000141009 603: 0.000155684 604: 0.000178104
Row 30: 29: 0.00233526 30: 0.00934103 31: 0.00233526 56: 0.00467051 253: -0.000467051 254: -7.78419e-05 257: -0.000233526 258: -1.27055e-19 259: -0.000467051 260: 7.78419e-05 261: -0.000934103 262: 0.000155684 265: -0.000233526 266: -1.20279e-19 603: 0.000155684 605: 0.000155684
Row 31: 0: 0.00260417 4: 0.00626195 30: 0.00233526 31: 0.0251482 32: 0.00763469 56: 0.00631216 89: -0.000260417 90: -8.47033e-21 91: -0.000520833 92: -8.68056e-05 111: -0.00125239 112: -0.000208732 113: -0.000365778 114: -6.77626e-21 259: -0.000467051 260: -7.78419e-05 261: -0.000233526 262: -1.27055e-19 263: -0.00152694 264: 0.00025449 265: -0.00126243 266: 0.000210405 269: -0.00039769 270: -2.04982e-19 553: 0.000173611 605: 0.000155684 606: 0.000243852 609: 0.000265127
Row 32: 4: 0.00631976 5: 0.00554195 31: 0.00763469 32: 0.0379323 33: 0.0056596 56: 0.00698676 58: 0.00578949 109: -0.000266198 110: -6.77626e-21 111: -0.000365778 112: -1.999e-19 113: -0.00126395 114: -0.000210659 117: -0.00110839 118: -0.000184732 119: -0.000287997 120: -1.35525e-20 263: -0.00152694 264: -0.00025449 265: -0.00039769 266: -2.1684e-19 267: -0.00113192 268: 0.000188653 269: -0.00139735 270: 0.000232892 271: -0.0011579 272: 0.000192983 277: -0.000277963 278: -1.42302e-19 403: -0.000300986 404: 1.57548e-19 554: 0.000177466 556: 0.000191998 606: 0.000243852 609: 0.000265127 611: 0.000185309 654: 0.000200657
Row 33: 5: 0.00545963 6: 0.00516376 32: 0.0056596 33: 0.032377 34: 0.00526743 57: 0.00536515 58: 0.00546145 115: -0.000257966 116: -1.01644e-20 117: -0.000287997 118: -1.55854e-19 119: -0.00109193 120: -0.000181988 123: -0.00103275 124: -0.000172125 125: -0.00025841 126: -8.47033e-21 267: -0.00113192 268: -0.000188653 271: -0.000277963 272: -1.50772e-19 273: -0.00105349 274: 0.000175581 275: -0.00107303 276: 0.000178838 277: -0.00109229 278: 0.000182048 281: -0.000268333 282: -1.35525e-19 407: -0.000268182 408: -1.38913e-19 555: 0.000171977 556: 0.000191998 558: 0.000172273 610: 0.000178889 611: 0.000185309 612: 0.000178788
Row 34: 6: 0.0050889 7: 0.00485228 33: 0.00526743 34: 0.0303218 35: 0.00480761 57: 0.00526439 76: 0.00504119 121: -0.000250481 122: -3.38813e-21 123: -0.00025841 124: -1.42302e-19 125: -0.00101778 126: -0.00016963 129: -0.000970455 130: -0.000161743 131: -0.000234747 132: -6.77626e-21 273: -0.00105349 274: -0.000175581 275: -0.000268333 276: -1.47384e-19 279: -0.000961522 280: 0.000160254 281: -0.00105288 282: 0.00017548 283: -0.00100824 284: 0.00016804 289: -0.000246014 290: -1.28749e-19 409: -0.000258105 410: 1.32137e-19 557: 0.000166987 558: 0.000172273 560: 0.000156498 610: 0.000178889 649: 0.000164009 650: 0.00017207
Row 35: 7: 0.00466364 8: 0.00429888 34: 0.00480761 35: 0.0270042 36: 0.00411982 59: 0.0043956 76: 0.00471864 127: -0.000231617 128: -8.47033e-21 129: -0.000234747 130: -1.28749e-19 131: -0.000932728 132: -0.000155455 135: -0.000859776 136: -0.000143296 137: -0.000198271 138: -5.0822e-21 279: -0.000961522 280: -0.000160254 283: -0.000246014 284: -1.33831e-19 285: -0.000823963 286: 0.000137327 287: -0.00087912 288: 0.00014652 289: -0.000943727 290: 0.000157288 293: -0.000213711 294: -1.11808e-19 421: -0.00022585 422: -1.15196e-19 559: 0.000154411 560: 0.000156498 562: 0.000132181 613: 0.000142474 649: 0.000164009 651: 0.000150566
Row 36: 8: 0.00401057 9: 0.00386781 35: 0.00411982 36: 0.0226045 37: 0.00349983 59: 0.00379188 60: 0.00331465 133: -0.000202786 134: -1.69407e-21 135: -0.000198271 136: -1.10114e-19 137: -0.000802113 138: -0.000133686 141: -0.000773562 142: -0.000128927 143: -0.000183995 144: -5.0822e-21 285: -0.000823963 286: -0.000137327 287: -0.000213711 288: -1.15196e-19 291: -0.000699966 292: 0.000116661 293: -0.000758375 294: 0.000126396 295: -0.000662929 296: 0.000110488 299: -0.000165988 300: -8.47033e-20 419: -0.000165477 420: 8.47033e-20 561: 0.00013519 562: 0.000132181 564: 0.000122664 613: 0.000142474 614: 0.000110658 615: 0.000110318
Row 37: 9: 0.00382247 10: 0.00384522 36: 0.00349983 37: 0.0213401 38: 0.00367961 60: 0.00316799 61: 0.00332502 139: -0.000198252 140: -5.0822e-21 141: -0.000183995 142: -9.99499e-20 143: -0.000764495 144: -0.000127416 145: -0.000769044 146: -0.000128174 147: -0.00018627 148: -5.0822e-21 291: -0.000699966 292: -0.000116661 295: -0.000165988 296: -8.97855e-20 297: -0.000735922 298: 0.000122654 299: -0.000633598 300: 0.0001056 301: -0.000665004 302: 0.000110834 305: -0.000181691 306: -9.31736e-20 427: -0.000150811 428: 7.708e-20 563: 0.000132168 564: 0.000122664 566: 0.00012418 614: 0.000110658 616: 0.000121127 617: 0.000100541
Row 38: 1: 0.00432466 10: 0.00405951 11: 0.00399143 37: 0.00367961 38: 0.0232414 39: 0.00361642 61: 0.00356975 93: -0.00021968 94: -1.18585e-19 95: -0.000212786 96: -1.69407e-21 97: -0.000864932 98: -0.000144155 145: -0.00018627 146: -1.01644e-19 147: -0.000811901 148: -0.000135317 151: -0.000798287 152: -0.000133048 153: -0.000186358 154: -5.0822e-21 297: -0.000735922 298: -0.000122654 301: -0.000181691 302: -9.82558e-20 303: -0.000723284 304: 0.000120547 305: -0.00071395 306: 0.000118992 309: -0.000175284 310: -8.89385e-20 565: 0.000146454 566: 0.00012418 567: 0.000141857 569: 0.000124239 616: 0.000121127 618: 0.000116856
Row 39: 11: 0.0037184 12: 0.00358779 38: 0.00361642 39: 0.0204391 40: 0.00329988 61: 0.00320125 63: 0.00301532 149: -0.000185482 150: -5.0822e-21 151: -0.000186358 152: -1.01644e-19 153: -0.00074368 154: -0.000123947 157: -0.000717558 158: -0.000119593 159: -0.000173297 160: -3.38813e-21 303: -0.000723284 304: -0.000120547 305: -0.000175284 306: -9.57147e-20 307: -0.000659976 308: 0.000109996 309: -0.000640249 310: 0.000106708 311: -0.000603063 312: 0.000100511 317: -0.000156692 318: -8.13152e-20 431: -0.00014484 432: 7.708e-20 568: 0.000123655 569: 0.000124239 571: 0.000115531 618: 0.000116856 620: 0.000104461 621: 9.65601e-05
Row 40: 12: 0.00359395 13: 0.00370416 39: 0.00329988 40: 0.0211602 41: 0.00383982 62: 0.00357607 63: 0.00314633 155: -0.000186098 156: -3.38813e-21 157: -0.000173297 158: -9.31736e-20 159: -0.00071879 160: -0.000119798 163: -0.000740831 164: -0.000123472 165: -0.000184317 166: -6.77626e-21 307: -0.000659976 308: -0.000109996 311: -0.000156692 312: -8.38563e-20 313: -0.000767964 314: 0.000127994 315: -0.000715213 316: 0.000119202 317: -0.000629266 318: 0.000104878 321: -0.000199665 322: -1.01644e-19 435: -0.000157942 436: -7.87741e-20 570: 0.000124065 571: 0.000115531 573: 0.000122878 619: 0.00013311 620: 0.000104461 622: 0.000105294
Row 41: 13: 0.00395068 14: 0.00424654 40: 0.00383982 41: 0.0248435 42: 0.00437304 62: 0.00409803 64: 0.00433538 161: -0.00021075 162: -3.38813e-21 163: -0.000184317 164: -1.01644e-19 165: -0.000790135 166: -0.000131689 169: -0.000849308 170: -0.000141551 171: -0.000213904 172: -3.38813e-21 313: -0.000767964 314: -0.000127994 315: -0.000199665 316: -1.06726e-19 319: -0.000874608 320: 0.000145768 321: -0.000819605 322: 0.000136601 323: -0.000867076 324: 0.000144513 327: -0.0002234 328: -1.11808e-19 437: -0.000210138 438: 1.05032e-19 572: 0.0001405 573: 0.000122878 575: 0.000142603 619: 0.00013311 623: 0.000148934 624: 0.000140092
Row 42: 14: 0.00440804 15: 0.00459841 41: 0.00437304 42: 0.0276966 43: 0.00476817 64: 0.0046721 65: 0.00487685 167: -0.0002269 168: -5.0822e-21 169: -0.000213904 170: -1.16891e-19 171: -0.000881608 172: -0.000146935 175: -0.000919682 176: -0.00015328 177: -0.000232941 178: -8.47033e-21 319: -0.000874608 320: -0.000145768 323: -0.0002234 324: -1.18585e-19 325: -0.000953634 326: 0.000158939 327: -0.00093442 328: 0.000155737 329: -0.000975371 330: 0.000162562 333: -0.000243876 334: -1.23667e-19 445: -0.000243809 446: 1.23667e-19 574: 0.000151267 575: 0.000142603 577: 0.000155294 623: 0.000148934 625: 0.000162584 626: 0.00016254
Row 43: 15: 0.00463078 16: 0.00464083 42: 0.00476817 43: 0.0285427 44: 0.00476252 65: 0.00487807 66: 0.00486237 173: -0.000230137 174: -6.77626e-21 175: -0.000232941 176: -1.27055e-19 177: -0.000926155 178: -0.000154359 181: -0.000928166 182: -0.000154694 183: -0.000233946 184: -8.47033e-21 325: -0.000953634 326: -0.000158939 329: -0.000243876 330: -1.35525e-19 331: -0.000952504 332: 0.000158751 333: -0.000975614 334: 0.000162602 335: -0.000972474 336: 0.000162079 339: -0.000242306 340: -1.23667e-19 451: -0.000243931 452: 1.27055e-19 576: 0.000153425 577: 0.000155294 579: 0.000155964 625: 0.000162584 627: 0.000161537 628: 0.000162621
Row 44: 16: 0.00452657 17: 0.00525467 18: 0.0054809 43: 0.00476252 44: 0.0290393 45: 0.00450246 66: 0.00451218 179: -0.000218711 180: -6.77626e-21 181: -0.000233946 182: -1.25361e-19 183: -0.000905313 184: -0.000150886 185: -0.000306756 186: -6.77626e-21 187: -0.00105093 188: -0.000175156 191: -0.00109618 192: -0.000182697 193: -0.000241334 194: -1.01644e-20 331: -0.000952504 332: -0.000158751 335: -0.000242306 336: -1.30443e-19 337: -0.000900492 338: 0.000150082 339: -0.000902436 340: 0.000150406 343: -0.000208912 344: -1.05879e-19 578: 0.000145807 579: 0.000155964 607: 0.000204504 608: 0.000160889 627: 0.000161537 629: 0.000139275
Row 45: 18: 0.0045072 19: 0.00407319 44: 0.00450246 45: 0.0213414 46: 0.00407437 66: 0.00418416 189: -0.000209386 190: -5.0822e-21 191: -0.000241334 192: -1.30443e-19 193: -0.000901439 194: -0.00015024 197: -0.000814637 198: -0.000135773 199: -0.000197933 200: -6.77626e-21 337: -0.000900492 338: -0.000150082 339: -0.000208912 340: -1.15196e-19 341: -0.000814874 342: 0.000135812 343: -0.000836832 344: 0.000139472 347: -0.000209504 348: -1.07573e-19 581: 0.00013959 583: 0.000131955 608: 0.000160889 629: 0.000139275 633: 0.000139669
Row 46: 19: 0.00444684 20: 0.00489406 45: 0.00407437 46: 0.0294569 47: 0.00532172 66: 0.00495988 68: 0.00576001 195: -0.000246751 196: -8.47033e-21 197: -0.000197933 198: -1.10114e-19 199: -0.000889369 200: -0.000148228 203: -0.000978813 204: -0.000163135 205: -0.000242655 206: -5.0822e-21 341: -0.000814874 342: -0.000135812 343: -0.000209504 344: -1.13502e-19 345: -0.00106434 346: 0.000177391 347: -0.000991976 348: 0.000165329 349: -0.001152 350: 0.000192 355: -0.000289517 356: -1.49078e-19 457: -0.000286484 458: 1.4569e-19 582: 0.000164501 583: 0.000131955 585: 0.00016177 631: 0.000193011 633: 0.000139669 652: 0.000190989
Row 47: 20: 0.00496588 21: 0.00497358 46: 0.00532172 47: 0.0313273 48: 0.00488582 67: 0.00536837 68: 0.00581196 201: -0.000253933 202: -5.0822e-21 203: -0.000242655 204: -1.30443e-19 205: -0.000993176 206: -0.000165529 209: -0.000994716 210: -0.000165786 211: -0.000243425 212: -6.77626e-21 345: -0.00106434 346: -0.000177391 349: -0.000289517 350: -1.57548e-19 351: -0.000977164 352: 0.000162861 353: -0.00107367 354: 0.000178946 355: -0.00116239 356: 0.000193732 359: -0.000245157 360: -1.27055e-19 459: -0.00029168 460: -1.5416e-19 584: 0.000169289 585: 0.00016177 587: 0.000162283 630: 0.000163438 631: 0.000193011 632: 0.000194453
Row 48: 21: 0.004813 22: 0.00456035 47: 0.00488582 48: 0.0281709 49: 0.00443078 67: 0.00484169 69: 0.0046393 207: -0.000237875 208: -3.38813e-21 209: -0.000243425 210: -1.33831e-19 211: -0.0009626 212: -0.000160433 215: -0.00091207 216: -0.000152012 217: -0.00021816 218: -6.77626e-21 351: -0.000977164 352: -0.000162861 353: -0.000245157 354: -1.30443e-19 357: -0.000886155 358: 0.000147693 359: -0.000968339 360: 0.00016139 361: -0.00092786 362: 0.000154643 365: -0.000224918 366: -1.15196e-19 461: -0.000239012 462: 1.23667e-19 586: 0.000158583 587: 0.000162283 589: 0.00014544 630: 0.000163438 634: 0.000149945 635: 0.000159342
Row 49: 22: 0.00438292 23: 0.0040909 48: 0.00443078 49: 0.0251788 50: 0.00391959 69: 0.00428688 70: 0.00406772 213: -0.000220132 214: -5.0822e-21 215: -0.00021816 216: -1.18585e-19 217: -0.000876585 218: -0.000146097 221: -0.000818179 222: -0.000136363 223: -0.000188957 224: -6.77626e-21 357: -0.000886155 358: -0.000147693 361: -0.000224918 362: -1.20279e-19 363: -0.000783917 364: 0.000130653 365: -0.000857376 366: 0.000142896 367: -0.000813543 368: 0.000135591 371: -0.000203001 372: -1.05032e-19 471: -0.00020377 472: 1.04185e-19 588: 0.000146755 589: 0.00014544 591: 0.000125972 634: 0.000149945 636: 0.000135334 637: 0.000135847
Row 50: 23: 0.00388313 24: 0.00387167 49: 0.00391959 50: 0.0219381 51: 0.00346798 70: 0.00361792 71: 0.00317777 219: -0.000199356 220: -3.38813e-21 221: -0.000188957 222: -1.03338e-19 223: -0.000776626 224: -0.000129438 225: -0.000774334 226: -0.000129056 227: -0.000187812 228: -6.77626e-21 363: -0.000783917 364: -0.000130653 367: -0.000203001 368: -1.11808e-19 369: -0.000693597 370: 0.000115599 371: -0.000723584 372: 0.000120597 373: -0.000635555 374: 0.000105926 377: -0.000158987 378: -8.04681e-20 477: -0.000158791 478: 8.21622e-20 590: 0.000132904 591: 0.000125972 593: 0.000125208 636: 0.000135334 638: 0.000105991 639: 0.00010586
Row 51: 3: 0.00419009 24: 0.00399832 25: 0.0039358 50: 0.00346798 51: 0.0221543 52: 0.00341909 71: 0.00314304 103: -0.00021202 104: -1.13502e-19 105: -0.000206988 106: -5.0822e-21 107: -0.000838017 108: -0.00013967 225: -0.000187812 226: -9.99499e-20 227: -0.000799664 228: -0.000133277 231: -0.00078716 232: -0.000131193 233: -0.000186592 234: -6.77626e-21 369: -0.000693597 370: -0.000115599 373: -0.000158987 374: -8.55503e-20 375: -0.000683818 376: 0.00011397 377: -0.000628608 378: 0.000104768 381: -0.000155317 382: -8.04681e-20 592: 0.000141347 593: 0.000125208 594: 0.000137992 596: 0.000124395 638: 0.000105991 640: 0.000103545
Row 52: 25: 0.00374936 26: 0.00368429 51: 0.00341909 52: 0.0211724 53: 0.0037353 71: 0.00310154 73: 0.00348282 229: -0.000188344 230: -5.0822e-21 231: -0.000186592 232: -1.01644e-19 233: -0.000749873 234: -0.000124979 237: -0.000736858 238: -0.00012281 239: -0.000180085 240: -5.0822e-21 375: -0.000683818 376: -0.00011397 377: -0.000155317 378: -8.47033e-20 379: -0.00074706 380: 0.00012451 381: -0.000620308 382: 0.000103385 383: -0.000696564 384: 0.000116094 389: -0.000193445 390: -9.82558e-20 483: -0.000154837 484: 7.96211e-20 595: 0.000125563 596: 0.000124395 598: 0.000120057 640: 0.000103545 642: 0.000128963 643: 0.000103225
Row 53: 26: 0.00383847 27: 0.00405413 52: 0.0037353 53: 0.023754 54: 0.00411937 72: 0.00408758 73: 0.00391917 235: -0.000203762 236: -1.01644e-20 237: -0.000180085 238: -9.82558e-20 239: -0.000767694 240: -0.000127949 243: -0.000810825 244: -0.000135138 245: -0.000201651 246: -6.77626e-21 379: -0.00074706 380: -0.00012451 383: -0.000193445 384: -1.06726e-19 385: -0.000823873 386: 0.000137312 387: -0.000817516 388: 0.000136253 389: -0.000783835 390: 0.000130639 393: -0.000210286 394: -1.05879e-19 485: -0.000198472 486: -9.99499e-20 597: 0.000135841 598: 0.000120057 600: 0.000134434 641: 0.000140191 642: 0.000128963 644: 0.000132315
Row 54: 27: 0.00413254 28: 0.00425383 53: 0.00411937 54: 0.0253679 55: 0.00431812 72: 0.00423331 74: 0.00431078 241: -0.000211603 242: -5.0822e-21 243: -0.000201651 244: -1.10114e-19 245: -0.000826508 246: -0.000137751 249: -0.000850766 250: -0.000141794 251: -0.00021378 252: -1.69407e-21 385: -0.000823873 386: -0.000137312 387: -0.000210286 388: -1.15196e-19 391: -0.000863625 392: 0.000143937 393: -0.000846662 394: 0.00014111 395: -0.000862156 396: 0.000143693 399: -0.000218033 400: -1.11808e-19 487: -0.000213045 488: 1.09267e-19 599: 0.000141069 600: 0.000134434 602: 0.00014252 641: 0.000140191 645: 0.000145355 646: 0.00014203
Row 55: 28: 0.00425292 29: 0.00478668 54: 0.00431812 55: 0.0269853 56: 0.00508117 74: 0.00415854 75: 0.00438783 247: -0.000211513 248: -5.0822e-21 249: -0.00021378 250: -1.16891e-19 251: -0.000850585 252: -0.000141764 255: -0.000957337 256: -0.000159556 257: -0.000267156 258: -3.38813e-21 391: -0.000863625 392: -0.000143937 395: -0.000218033 396: -1.18585e-19 397: -0.00101623 398: 0.000169372 399: -0.000831708 400: 0.000138618 401: -0.000877565 402: 0.000146261 405: -0.000240962 406: -1.21973e-19 495: -0.000197821 496: 1.02491e-19 601: 0.000141009 602: 0.00014252 604: 0.000178104 645: 0.000145355 647: 0.000160641 648: 0.000131881
Row 56: 29: 0.00500681 30: 0.00467051 31: 0.00631216 32: 0.00698676 55: 0.00508117 56: 0.0381509 58: 0.00534687 75: 0.00474663 253: -0.000233526 254: -6.77626e-21 255: -0.000267156 256: -1.43996e-19 257: -0.00100136 258: -0.000166894 259: -0.000233526 260: -6.77626e-21 261: -0.000934103 262: -0.000155684 263: -0.00039769 264: -1.35525e-20 265: -0.00126243 266: -0.000210405 269: -0.00139735 270: -0.000232892 271: -0.000300986 272: -6.77626e-21 397: -0.00101623 398: -0.000169372 401: -0.000240962 402: -1.32137e-19 403: -0.00106937 404: 0.000178229 405: -0.000949325 406: 0.000158221 415: -0.000233701 416: -1.21973e-19 603: 0.000155684 604: 0.000178104 605: 0.000155684 609: 0.000265127 647: 0.000160641 653: 0.000155801 654: 0.000200657
Row 57: 33: 0.00536515 34: 0.00526439 57: 0.033936 58: 0.00578195 76: 0.00536509 83: 0.00623774 86: 0.00592164 273: -0.000268333 274: -1.01644e-20 275: -0.00107303 276: -0.000178838 277: -0.000268182 278: -1.43996e-19 281: -0.00105288 282: -0.00017548 283: -0.000258105 284: -6.77626e-21 407: -0.00115639 408: 0.000192732 409: -0.00107302 410: 0.000178836 411: -0.00124755 412: 0.000207925 413: -0.00118433 414: 0.000197388 417: -0.000310013 418: 1.59242e-19 505: -0.000278403 506: -1.38913e-19 537: -0.000313761 538: 1.57548e-19 610: 0.000178889 612: 0.000178788 650: 0.00017207 669: 0.000206676 678: 0.000209174 679: 0.000185602
Row 58: 32: 0.00578949 33: 0.00546145 56: 0.00534687 57: 0.00578195 58: 0.0328567 75: 0.00485691 83: 0.00562003 267: -0.000277963 268: -1.35525e-20 269: -0.000300986 270: -1.6263e-19 271: -0.0011579 272: -0.000192983 275: -0.000268182 276: -1.01644e-20 277: -0.00109229 278: -0.000182048 403: -0.00106937 404: -0.000178229 405: -0.000233701 406: -1.28749e-19 407: -0.00115639 408: -0.000192732 411: -0.000310013 412: -6.77626e-21 415: -0.000971382 416: 0.000161897 417: -0.00112401 418: 0.000187334 501: -0.00025199 502: 1.27055e-19 611: 0.000185309 612: 0.000178788 653: 0.000155801 654: 0.000200657 668: 0.000167993 669: 0.000206676
Row 59: 35: 0.0043956 36: 0.00379188 59: 0.0254652 60: 0.00351493 76: 0.00462036 77: 0.00432034 85: 0.00482205 285: -0.000213711 286: -3.38813e-21 287: -0.00087912 288: -0.00014652 289: -0.00022585 290: -1.23667e-19 293: -0.000758375 294: -0.000126396 295: -0.000165477 296: -1.69407e-21 419: -0.000702987 420: 0.000117164 421: -0.000924072 422: 0.000154012 423: -0.000864069 424: 0.000144011 425: -0.00096441 426: 0.000160735 429: -0.000186016 430: -9.48677e-20 503: -0.000236187 504: 1.18585e-19 509: -0.000246018 510: -1.25361e-19 613: 0.000142474 615: 0.000110318 651: 0.000150566 657: 0.000124011 676: 0.000164012 683: 0.000157458
Row 60: 36: 0.00331465 37: 0.00316799 59: 0.00351493 60: 0.0168777 61: 0.00326403 77: 0.00361608 291: -0.000165988 292: -3.38813e-21 293: -0.000165477 294: -9.06325e-20 295: -0.000662929 296: -0.000110488 299: -0.000633598 300: -0.0001056 301: -0.000150811 302: -3.38813e-21 419: -0.000702987 420: -0.000117164 423: -0.000186016 424: -1.01644e-19 427: -0.000652805 428: 0.000108801 429: -0.000723215 430: 0.000120536 433: -0.000175591 434: -8.89385e-20 614: 0.000110658 615: 0.000110318 617: 0.000100541 655: 0.000117061 657: 0.000124011
Row 61: 37: 0.00332502 38: 0.00356975 39: 0.00320125 60: 0.00326403 61: 0.0200012 63: 0.0031668 77: 0.00347431 297: -0.000181691 298: -5.0822e-21 299: -0.000150811 300: -8.21622e-20 301: -0.000665004 302: -0.000110834 303: -0.000175284 304: -3.38813e-21 305: -0.00071395 306: -0.000118992 309: -0.000640249 310: -0.000106708 311: -0.00014484 312: -6.77626e-21 427: -0.000652805 428: -0.000108801 429: -0.000175591 430: -9.57147e-20 431: -0.00063336 432: 0.00010556 433: -0.000694863 434: 0.00011581 443: -0.00017184 444: -8.72444e-20 616: 0.000121127 617: 0.000100541 618: 0.000116856 621: 9.65601e-05 655: 0.000117061 656: 0.00011456
Row 62: 40: 0.00357607 41: 0.00409803 62: 0.0245033 63: 0.0034416 64: 0.0043553 77: 0.0043203 78: 0.00471204 313: -0.000199665 314: -5.0822e-21 315: -0.000715213 316: -0.000119202 317: -0.000157942 318: -8.47033e-20 321: -0.000819605 322: -0.000136601 323: -0.000210138 324: -3.38813e-21 435: -0.00068832 436: 0.00011472 437: -0.000871061 438: 0.000145177 439: -0.00086406 440: 0.00014401 441: -0.000942409 442: 0.000157068 443: -0.000186218 444: 9.48677e-20 447: -0.000225393 448: -1.15196e-19 507: -0.000245812 508: 1.27055e-19 619: 0.00013311 622: 0.000105294 624: 0.000140092 659: 0.000150262 675: 0.000124146 677: 0.000163874
Row 63: 39: 0.00301532 40: 0.00314633 61: 0.0031668 62: 0.0034416 63: 0.0163506 77: 0.00358058 307: -0.000156692 308: -5.0822e-21 309: -0.00014484 310: -7.96211e-20 311: -0.000603063 312: -0.000100511 315: -0.000157942 316: -3.38813e-21 317: -0.000629266 318: -0.000104878 431: -0.00063336 432: -0.00010556 433: -0.00017184 434: -9.31736e-20 435: -0.00068832 436: -0.00011472 439: -0.000186218 440: -6.77626e-21 443: -0.000716117 444: 0.000119353 620: 0.000104461 621: 9.65601e-05 622: 0.000105294 656: 0.00011456 675: 0.000124146
Row 64: 41: 0.00433538 42: 0.0046721 62: 0.0043553 64: 0.0283141 65: 0.00498998 78: 0.00483167 82: 0.00512963 319: -0.0002234 320: -5.0822e-21 321: -0.000210138 322: -1.15196e-19 323: -0.000867076 324: -0.000144513 327: -0.00093442 328: -0.000155737 329: -0.000243809 330: -1.18585e-20 437: -0.000871061 438: -0.000145177 441: -0.000225393 442: -1.25361e-19 445: -0.000997996 446: 0.000166333 447: -0.000966334 448: 0.000161056 449: -0.00102593 450: 0.000170988 455: -0.000255188 456: -1.28749e-19 511: -0.000257774 512: 1.30443e-19 623: 0.000148934 624: 0.000140092 626: 0.00016254 659: 0.000150262 665: 0.000170126 666: 0.00017185
Row 65: 42: 0.00487685 43: 0.00487807 64: 0.00498998 65: 0.0317285 66: 0.00527209 68: 0.00599622 82: 0.00571532 325: -0.000243876 326: -5.0822e-21 327: -0.000243809 328: -1.28749e-19 329: -0.000975371 330: -0.000162562 333: -0.000975614 334: -0.000162602 335: -0.000243931 336: -6.77626e-21 445: -0.000997996 446: -0.000166333 449: -0.000255188 450: -1.37219e-19 451: -0.00105442 452: 0.000175736 453: -0.00119924 454: 0.000199874 455: -0.00114306 456: 0.000190511 457: -0.000283278 458: -1.42302e-19 469: -0.000316344 470: -1.59242e-19 625: 0.000162584 626: 0.00016254 628: 0.000162621 658: 0.000188852 665: 0.000170126 667: 0.000210896
Row 66: 43: 0.00486237 44: 0.00451218 45: 0.00418416 46: 0.00495988 65: 0.00527209 66: 0.0294883 68: 0.00569762 331: -0.000242306 332: -1.01644e-20 333: -0.000243931 334: -1.30443e-19 335: -0.000972474 336: -0.000162079 337: -0.000208912 338: -3.38813e-21 339: -0.000902436 340: -0.000150406 341: -0.000209504 342: -6.77626e-21 343: -0.000836832 344: -0.000139472 347: -0.000991976 348: -0.000165329 349: -0.000286484 350: -6.77626e-21 451: -0.00105442 452: -0.000175736 453: -0.000283278 454: -1.52466e-19 457: -0.00113952 458: 0.000189921 627: 0.000161537 628: 0.000162621 629: 0.000139275 633: 0.000139669 652: 0.000190989 658: 0.000188852
Row 67: 47: 0.00536837 48: 0.00484169 67: 0.0304465 68: 0.00595629 69: 0.00453726 80: 0.00442524 81: 0.0053176 351: -0.000245157 352: -5.0822e-21 353: -0.00107367 354: -0.000178946 355: -0.00029168 356: -1.60936e-19 359: -0.000968339 360: -0.00016139 361: -0.000239012 362: -5.0822e-21 459: -0.00119126 460: 0.000198543 461: -0.000907453 462: 0.000151242 463: -0.000885049 464: 0.000147508 465: -0.00106352 466: 0.000177253 467: -0.000303949 468: 1.57548e-19 475: -0.000214714 476: -1.07573e-19 523: -0.00022781 524: -1.15196e-19 630: 0.000163438 632: 0.000194453 635: 0.000159342 661: 0.000143143 663: 0.000202633 664: 0.000151874
Row 68: 46: 0.00576001 47: 0.00581196 65: 0.00599622 66: 0.00569762 67: 0.00595629 68: 0.0416491 81: 0.00615153 82: 0.00627548 345: -0.000289517 346: -3.38813e-21 347: -0.000286484 348: -1.57548e-19 349: -0.001152 350: -0.000192 353: -0.00029168 354: -6.77626e-21 355: -0.00116239 356: -0.000193732 451: -0.000283278 452: -6.77626e-21 453: -0.00119924 454: -0.000199874 455: -0.000316344 456: -1.67713e-19 457: -0.00113952 458: -0.000189921 459: -0.00119126 460: -0.000198543 465: -0.000303949 466: -6.77626e-21 467: -0.00123031 468: 0.000205051 469: -0.0012551 470: 0.000209183 527: -0.000311204 528: -1.59242e-19 631: 0.000193011 632: 0.000194453 652: 0.000190989 658: 0.000188852 663: 0.000202633 667: 0.000210896 674: 0.000207469
Row 69: 48: 0.0046393 49: 0.00428688 67: 0.00453726 69: 0.0269626 70: 0.00443527 79: 0.00465717 80: 0.00440675 357: -0.000224918 358: -6.77626e-21 359: -0.000239012 360: -1.30443e-19 361: -0.00092786 362: -0.000154643 365: -0.000857376 366: -0.000142896 367: -0.00020377 368: -5.0822e-21 461: -0.000907453 462: -0.000151242 463: -0.000214714 464: -1.16891e-19 471: -0.000887054 472: 0.000147842 473: -0.000931434 474: 0.000155239 475: -0.000881349 476: 0.000146892 481: -0.000239756 482: -1.21973e-19 517: -0.000225961 518: -1.13502e-19 634: 0.000149945 635: 0.000159342 637: 0.000135847 660: 0.000159838 661: 0.000143143 662: 0.00015064
Row 70: 49: 0.00406772 50: 0.00361792 69: 0.00443527 70: 0.0239648 71: 0.00319935 73: 0.0039292 79: 0.00471532 363: -0.000203001 364: -5.0822e-21 365: -0.00020377 366: -1.11808e-19 367: -0.000813543 368: -0.000135591 371: -0.000723584 372: -0.000120597 373: -0.000158791 374: -5.0822e-21 471: -0.000887054 472: -0.000147842 473: -0.000239756 474: -1.30443e-19 477: -0.000639869 478: 0.000106645 479: -0.00078584 480: 0.000130973 481: -0.000943064 482: 0.000157177 483: -0.000161144 484: -8.13152e-20 493: -0.000231776 494: -1.20279e-19 636: 0.000135334 637: 0.000135847 639: 0.00010586 660: 0.000159838 670: 0.000107429 673: 0.000154517
Row 71: 50: 0.00317777 51: 0.00314304 52: 0.00310154 70: 0.00319935 71: 0.0157815 73: 0.00315981 369: -0.000158987 370: -6.77626e-21 371: -0.000158791 372: -8.72444e-20 373: -0.000635555 374: -0.000105926 375: -0.000155317 376: -5.0822e-21 377: -0.000628608 378: -0.000104768 381: -0.000620308 382: -0.000103385 383: -0.000154837 384: -5.0822e-21 477: -0.000639869 478: -0.000106645 479: -0.000161144 480: -8.72444e-20 483: -0.000631962 484: 0.000105327 638: 0.000105991 639: 0.00010586 640: 0.000103545 643: 0.000103225 670: 0.000107429
Row 72: 53: 0.00408758 54: 0.00423331 72: 0.0256379 73: 0.00431662 74: 0.00412739 79: 0.00460399 84: 0.00426903 385: -0.000210286 386: -3.38813e-21 387: -0.000817516 388: -0.000136253 389: -0.000198472 390: -1.0842e-19 393: -0.000846662 394: -0.00014111 395: -0.000213045 396: -5.0822e-21 485: -0.000863324 486: 0.000143887 487: -0.000825477 488: 0.00013758 489: -0.000920798 490: 0.000153466 491: -0.000853806 492: 0.000142301 493: -0.00023319 494: 1.16891e-19 499: -0.000199694 500: -1.01644e-19 519: -0.00022721 520: 1.15196e-19 641: 0.000140191 644: 0.000132315 646: 0.00014203 672: 0.000133129 681: 0.00015546 682: 0.000151473
Row 73: 52: 0.00348282 53: 0.00391917 70: 0.0039292 71: 0.00315981 72: 0.00431662 73: 0.0234573 79: 0.00464965 379: -0.000193445 380: -6.77626e-21 381: -0.000154837 382: -8.38563e-20 383: -0.000696564 384: -0.000116094 387: -0.000198472 388: -6.77626e-21 389: -0.000783835 390: -0.000130639 477: -0.000161144 478: -6.77626e-21 479: -0.00078584 480: -0.000130973 481: -0.000231776 482: -1.23667e-19 483: -0.000631962 484: -0.000105327 485: -0.000863324 486: -0.000143887 489: -0.00023319 490: -1.01644e-20 493: -0.000929931 494: 0.000154988 642: 0.000128963 643: 0.000103225 644: 0.000132315 670: 0.000107429 673: 0.000154517 681: 0.00015546
Row 74: 54: 0.00431078 55: 0.00415854 72: 0.00412739 74: 0.0261731 75: 0.00435634 83: 0.00480064 84: 0.00441945 391: -0.000218033 392: -6.77626e-21 393: -0.000213045 394: -1.13502e-19 395: -0.000862156 396: -0.000143693 399: -0.000831708 400: -0.000138618 401: -0.000197821 402: -6.77626e-21 487: -0.000825477 488: -0.00013758 491: -0.000199694 492: -1.0842e-19 495: -0.000871268 496: 0.000145211 497: -0.000960129 498: 0.000160021 499: -0.000883889 500: 0.000147315 501: -0.000237813 502: -1.23667e-19 535: -0.000242251 536: -1.20279e-19 645: 0.000145355 646: 0.00014203 648: 0.000131881 671: 0.000158542 672: 0.000133129 680: 0.000161501
Row 75: 55: 0.00438783 56: 0.00474663 58: 0.00485691 74: 0.00435634 75: 0.0232457 83: 0.00489803 397: -0.000240962 398: -1.69407e-21 399: -0.000197821 400: -1.0842e-19 401: -0.000877565 402: -0.000146261 403: -0.000233701 404: -6.77626e-21 405: -0.000949325 406: -0.000158221 415: -0.000971382 416: -0.000161897 417: -0.00025199 418: -6.77626e-21 495: -0.000871268 496: -0.000145211 497: -0.000237813 498: -1.27055e-19 501: -0.000979606 502: 0.000163268 647: 0.000160641 648: 0.000131881 653: 0.000155801 668: 0.000167993 671: 0.000158542
Row 76: 34: 0.00504119 35: 0.00471864 57: 0.00536509 59: 0.00462036 76: 0.0303473 85: 0.00508992 86: 0.00551209 279: -0.000246014 280: -8.47033e-21 281: -0.000258105 282: -1.40607e-19 283: -0.00100824 284: -0.00016804 287: -0.00022585 288: -5.0822e-21 289: -0.000943727 290: -0.000157288 409: -0.00107302 410: -0.000178836 413: -0.000278403 414: -1.47384e-19 421: -0.000924072 422: -0.000154012 425: -0.000236187 426: -1.01644e-20 503: -0.00101798 504: 0.000169664 505: -0.00110242 506: 0.000183736 543: -0.000272806 544: -1.40607e-19 649: 0.000164009 650: 0.00017207 651: 0.000150566 679: 0.000185602 683: 0.000157458 691: 0.00018187
Row 77: 59: 0.00432034 60: 0.00361608 61: 0.00347431 62: 0.0043203 63: 0.00358058 77: 0.0295979 78: 0.00514212 85: 0.00514419 419: -0.000186016 420: -5.0822e-21 423: -0.000864069 424: -0.000144011 425: -0.000246018 426: -1.32137e-19 427: -0.000175591 428: -6.77626e-21 429: -0.000723215 430: -0.000120536 431: -0.00017184 432: -5.0822e-21 433: -0.000694863 434: -0.00011581 435: -0.000186218 436: -1.03338e-19 439: -0.00086406 440: -0.00014401 441: -0.000245812 442: -1.01644e-20 443: -0.000716117 444: -0.000119353 507: -0.00102842 508: 0.000171404 509: -0.00102884 510: 0.000171473 513: -0.0002684 514: -1.35525e-19 655: 0.000117061 656: 0.00011456 657: 0.000124011 675: 0.000124146 676: 0.000164012 677: 0.000163874 686: 0.000178934
Row 78: 62: 0.00471204 64: 0.00483167 77: 0.00514212 78: 0.030798 82: 0.00532182 85: 0.00536513 88: 0.0054252 437: -0.000225393 438: -5.0822e-21 439: -0.000245812 440: -1.33831e-19 441: -0.000942409 442: -0.000157068 447: -0.000966334 448: -0.000161056 449: -0.000257774 450: -8.47033e-21 507: -0.00102842 508: -0.000171404 509: -0.0002684 510: -1.43996e-19 511: -0.00106436 512: 0.000177394 513: -0.00107303 514: 0.000178838 515: -0.00108504 516: 0.00018084 533: -0.000274408 534: -1.37219e-19 545: -0.000268112 546: 1.38913e-19 659: 0.000150262 666: 0.00017185 677: 0.000163874 686: 0.000178934 687: 0.000182938 688: 0.000178742
Row 79: 69: 0.00465717 70: 0.00471532 72: 0.00460399 73: 0.00464965 79: 0.0340738 80: 0.00500643 84: 0.00498325 87: 0.00545798 471: -0.000239756 472: -8.47033e-21 473: -0.000931434 474: -0.000155239 475: -0.000225961 476: -1.21973e-19 479: -0.000231776 480: -3.38813e-21 481: -0.000943064 482: -0.000157177 485: -0.00023319 486: -1.27055e-19 489: -0.000920798 490: -0.000153466 491: -0.00022721 492: -5.0822e-21 493: -0.000929931 494: -0.000154988 517: -0.00100129 518: 0.000166881 519: -0.00099665 520: 0.000166108 521: -0.0010916 522: 0.000181933 525: -0.000274682 526: 1.42302e-19 541: -0.000271116 542: -1.38913e-19 660: 0.000159838 662: 0.00015064 673: 0.000154517 681: 0.00015546 682: 0.000151473 684: 0.000183121 685: 0.000180744
Row 80: 67: 0.00442524 69: 0.00440675 79: 0.00500643 80: 0.0240796 81: 0.00488622 87: 0.00535493 461: -0.000214714 462: -1.01644e-20 463: -0.000885049 464: -0.000147508 465: -0.00022781 466: -1.23667e-19 473: -0.000225961 474: -5.0822e-21 475: -0.000881349 476: -0.000146892 517: -0.00100129 518: -0.000166881 521: -0.000274682 522: -8.47033e-21 523: -0.000977243 524: 0.000162874 525: -0.00107099 526: 0.000178498 529: -0.000260811 530: 1.33831e-19 661: 0.000143143 662: 0.00015064 664: 0.000151874 684: 0.000183121 690: 0.000173874
Row 81: 67: 0.0053176 68: 0.00615153 80: 0.00488622 81: 0.0338101 82: 0.00586571 87: 0.00572173 88: 0.00586729 459: -0.000303949 460: -1.67713e-19 463: -0.00022781 464: -8.47033e-21 465: -0.00106352 466: -0.000177253 467: -0.00123031 468: -0.000205051 469: -0.000311204 470: -1.69407e-19 523: -0.000977243 524: -0.000162874 525: -0.000260811 526: -1.01644e-20 527: -0.00117314 528: 0.000195524 529: -0.00114435 530: 0.000190724 531: -0.00117346 532: 0.000195576 533: -0.000275367 534: 1.40607e-19 551: -0.000311362 552: -1.59242e-19 663: 0.000202633 664: 0.000151874 674: 0.000207469 689: 0.000183578 690: 0.000173874 694: 0.000207574
Row 82: 64: 0.00512963 65: 0.00571532 68: 0.00627548 78: 0.00532182 81: 0.00586571 82: 0.0338057 88: 0.00549775 445: -0.000255188 446: -8.47033e-21 447: -0.000257774 448: -1.38913e-19 449: -0.00102593 450: -0.000170988 453: -0.000316344 454: -1.35525e-20 455: -0.00114306 456: -0.000190511 467: -0.000311204 468: -6.77626e-21 469: -0.0012551 470: -0.000209183 511: -0.00106436 512: -0.000177394 515: -0.000274408 516: -1.49078e-19 527: -0.00117314 528: -0.000195524 531: -0.000275367 532: -6.77626e-21 533: -0.00109955 534: 0.000183258 665: 0.000170126 666: 0.00017185 667: 0.000210896 674: 0.000207469 687: 0.000182938 689: 0.000183578
Row 83: 57: 0.00623774 58: 0.00562003 74: 0.00480064 75: 0.00489803 83: 0.0400086 84: 0.00532041 86: 0.00668572 87: 0.00644602 407: -0.000310013 408: -1.69407e-19 411: -0.00124755 412: -0.000207925 413: -0.000313761 414: -1.35525e-20 415: -0.00025199 416: -1.37219e-19 417: -0.00112401 418: -0.000187334 495: -0.000237813 496: -5.0822e-21 497: -0.000960129 498: -0.000160021 499: -0.000242251 500: -1.32137e-19 501: -0.000979606 502: -0.000163268 535: -0.00106408 536: 0.000177347 537: -0.00133714 538: 0.000222857 539: -0.0012892 540: 0.000214867 541: -0.00028979 542: 1.47384e-19 547: -0.000354811 548: -1.77877e-19 668: 0.000167993 669: 0.000206676 671: 0.000158542 678: 0.000209174 680: 0.000161501 692: 0.000193194 695: 0.000236541
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Row 85: 59: 0.00482205 76: 0.00508992 77: 0.00514419 78: 0.00536513 85: 0.0315844 86: 0.00560503 88: 0.0055581 421: -0.000236187 422: -1.27055e-19 423: -0.000246018 424: -3.38813e-21 425: -0.00096441 426: -0.000160735 503: -0.00101798 504: -0.000169664 505: -0.000272806 506: -1.50772e-19 507: -0.0002684 508: -8.47033e-21 509: -0.00102884 510: -0.000171473 513: -0.00107303 514: -0.000178838 515: -0.000268112 516: -1.01644e-20 543: -0.00112101 544: 0.000186834 545: -0.00111162 546: 0.00018527 549: -0.000287697 550: 1.4569e-19 676: 0.000164012 683: 0.000157458 686: 0.000178934 688: 0.000178742 691: 0.00018187 693: 0.000191798
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Row 160: 12: 0.000119798 13: -9.99499e-20 39: -3.38813e-21 40: -0.000119798 155: -4.43091e-06 156: 2.21545e-06 157: -4.12611e-06 158: 2.06306e-06 159: 1.43996e-20 160: 1.28355e-05 163: 4.43091e-06 164: 2.21545e-06 307: 4.12611e-06 308: 2.06306e-06 570: -8.15269e-21 571: -6.35275e-22
Row 161: 13: -0.000421501 14: -0.000421501 41: -0.00021075 161: 7.02501e-05 162: 4.23516e-22 165: 3.51251e-05 166: -5.01786e-06 169: 3.51251e-05 170: -5.01786e-06 572: -2.00715e-05
Row 162: 13: 7.02501e-05 14: -7.02501e-05 41: -3.38813e-21 161: 4.23516e-22 162: 7.5268e-06 165: -5.01786e-06 166: 2.50893e-06 169: 5.01786e-06 170: -2.50893e-06 572: -1.05879e-21
Row 163: 12: -0.000186098 13: -0.000740831 40: -0.000740831 41: -0.000184317 155: 3.10164e-05 156: 4.43091e-06 159: 3.10164e-05 160: 4.43091e-06 163: 0.000123472 164: 2.71051e-20 165: 3.07196e-05 166: -4.38851e-06 313: 3.07196e-05 314: -4.38851e-06 570: -1.77236e-05 573: -1.7554e-05
Row 164: 12: -9.31736e-20 13: 0.000123472 40: -0.000123472 41: -1.01644e-19 155: -4.43091e-06 156: -2.21545e-06 159: 4.43091e-06 160: 2.21545e-06 163: 2.71051e-20 164: 1.32291e-05 165: -4.38851e-06 166: 2.19425e-06 313: 4.38851e-06 314: -2.19425e-06 570: -6.88214e-21 573: -7.94093e-21
Row 165: 13: -0.000790135 14: -0.00021075 40: -0.000184317 41: -0.000790135 161: 3.51251e-05 162: -5.01786e-06 163: 3.07196e-05 164: -4.38851e-06 165: 0.000131689 166: 1.52466e-20 169: 3.51251e-05 170: 5.01786e-06 313: 3.07196e-05 314: 4.38851e-06 572: -2.00715e-05 573: -1.7554e-05
Row 166: 13: 0.000131689 14: -1.16891e-19 40: -6.77626e-21 41: -0.000131689 161: -5.01786e-06 162: 2.50893e-06 163: -4.38851e-06 164: 2.19425e-06 165: 1.52466e-20 166: 1.41096e-05 169: 5.01786e-06 170: 2.50893e-06 313: 4.38851e-06 314: 2.19425e-06 572: -8.99973e-21 573: -6.35275e-22
Row 167: 14: -0.0004538 15: -0.0004538 42: -0.0002269 167: 7.56334e-05 168: 0 171: 3.78167e-05 172: -5.40238e-06 175: 3.78167e-05 176: -5.40238e-06 574: -2.16095e-05
Row 168: 14: 7.56334e-05 15: -7.56334e-05 42: -5.0822e-21 167: 0 168: 8.10358e-06 171: -5.40238e-06 172: 2.70119e-06 175: 5.40238e-06 176: -2.70119e-06 574: -8.47033e-22
Row 169: 13: -0.00021075 14: -0.000849308 41: -0.000849308 42: -0.000213904 161: 3.51251e-05 162: 5.01786e-06 165: 3.51251e-05 166: 5.01786e-06 169: 0.000141551 170: 3.04932e-20 171: 3.56507e-05 172: -5.09295e-06 319: 3.56507e-05 320: -5.09295e-06 572: -2.00715e-05 575: -2.03718e-05
Row 170: 13: -1.06726e-19 14: 0.000141551 41: -0.000141551 42: -1.16891e-19 161: -5.01786e-06 162: -2.50893e-06 165: 5.01786e-06 166: 2.50893e-06 169: 3.04932e-20 170: 1.51662e-05 171: -5.09295e-06 172: 2.54648e-06 319: 5.09295e-06 320: -2.54648e-06 572: -7.83505e-21 575: -9.1056e-21
Row 171: 14: -0.000881608 15: -0.0002269 41: -0.000213904 42: -0.000881608 167: 3.78167e-05 168: -5.40238e-06 169: 3.56507e-05 170: -5.09295e-06 171: 0.000146935 172: 1.77877e-20 175: 3.78167e-05 176: 5.40238e-06 319: 3.56507e-05 320: 5.09295e-06 574: -2.16095e-05 575: -2.03718e-05
Row 172: 14: 0.000146935 15: -1.25361e-19 41: -3.38813e-21 42: -0.000146935 167: -5.40238e-06 168: 2.70119e-06 169: -5.09295e-06 170: 2.54648e-06 171: 1.77877e-20 172: 1.5743e-05 175: 5.40238e-06 176: 2.70119e-06 319: 5.09295e-06 320: 2.54648e-06 574: -9.84676e-21 575: -8.47033e-22
Row 173: 15: -0.000460274 16: -0.000460274 43: -0.000230137 173: 7.67123e-05 174: 0 177: 3.83561e-05 178: -5.47945e-06 181: 3.83561e-05 182: -5.47945e-06 576: -2.19178e-05
Row 174: 15: 7.67123e-05 16: -7.67123e-05 43: -6.77626e-21 173: 0 174: 8.21917e-06 177: -5.47945e-06 178: 2.73972e-06 181: 5.47945e-06 182: -2.73972e-06 576: -1.27055e-21
Row 175: 14: -0.0002269 15: -0.000919682 42: -0.000919682 43: -0.000232941 167: 3.78167e-05 168: 5.40238e-06 171: 3.78167e-05 172: 5.40238e-06 175: 0.00015328 176: 3.55754e-20 177: 3.88235e-05 178: -5.54621e-06 325: 3.88235e-05 326: -5.54621e-06 574: -2.16095e-05 577: -2.21848e-05
Row 176: 14: -1.15196e-19 15: 0.00015328 42: -0.00015328 43: -1.27055e-19 167: -5.40238e-06 168: -2.70119e-06 171: 5.40238e-06 172: 2.70119e-06 175: 3.55754e-20 176: 1.64229e-05 177: -5.54621e-06 178: 2.77311e-06 325: 5.54621e-06 326: -2.77311e-06 574: -9.21148e-21 577: -1.00585e-20
Row 177: 15: -0.000926155 16: -0.000230137 42: -0.000232941 43: -0.000926155 173: 3.83561e-05 174: -5.47945e-06 175: 3.88235e-05 176: -5.54621e-06 177: 0.000154359 178: 1.86347e-20 181: 3.83561e-05 182: 5.47945e-06 325: 3.88235e-05 326: 5.54621e-06 576: -2.19178e-05 577: -2.21848e-05
Row 178: 15: 0.000154359 16: -1.27055e-19 42: -8.47033e-21 43: -0.000154359 173: -5.47945e-06 174: 2.73972e-06 175: -5.54621e-06 176: 2.77311e-06 177: 1.86347e-20 178: 1.65385e-05 181: 5.47945e-06 182: 2.73972e-06 325: 5.54621e-06 326: 2.77311e-06 576: -9.635e-21 577: -1.27055e-21
Row 179: 16: -0.000437421 17: -0.000437421 44: -0.000218711 179: 7.29035e-05 180: 4.23516e-22 183: 3.64518e-05 184: -5.20739e-06 187: 3.64518e-05 188: -5.20739e-06 578: -2.08296e-05
Row 180: 16: 7.29035e-05 17: -7.29035e-05 44: -6.77626e-21 179: 4.23516e-22 180: 7.81109e-06 183: -5.20739e-06 184: 2.6037e-06 187: 5.20739e-06 188: -2.6037e-06 578: -1.05879e-21
Row 181: 15: -0.000230137 16: -0.000928166 43: -0.000928166 44: -0.000233946 173: 3.83561e-05 174: 5.47945e-06 177: 3.83561e-05 178: 5.47945e-06 181: 0.000154694 182: 3.55754e-20 183: 3.8991e-05 184: -5.57015e-06 331: 3.8991e-05 332: -5.57015e-06 576: -2.19178e-05 579: -2.22806e-05
Row 182: 15: -1.20279e-19 16: 0.000154694 43: -0.000154694 44: -1.25361e-19 173: -5.47945e-06 174: -2.73972e-06 177: 5.47945e-06 178: 2.73972e-06 181: 3.55754e-20 182: 1.65744e-05 183: -5.57015e-06 184: 2.78507e-06 331: 5.57015e-06 332: -2.78507e-06 576: -8.57621e-21 579: -1.02703e-20
Row 183: 16: -0.000905313 17: -0.000218711 43: -0.000233946 44: -0.000905313 179: 3.64518e-05 180: -5.20739e-06 181: 3.8991e-05 182: -5.57015e-06 183: 0.000150886 184: 1.77877e-20 187: 3.64518e-05 188: 5.20739e-06 331: 3.8991e-05 332: 5.57015e-06 578: -2.08296e-05 579: -2.22806e-05
Row 184: 16: 0.000150886 17: -1.18585e-19 43: -8.47033e-21 44: -0.000150886 179: -5.20739e-06 180: 2.6037e-06 181: -5.57015e-06 182: 2.78507e-06 183: 1.77877e-20 184: 1.61663e-05 187: 5.20739e-06 188: 2.6037e-06 331: 5.57015e-06 332: 2.78507e-06 578: -9.31736e-21 579: -1.48231e-21
Row 185: 2: -0.000260417 17: -0.00113435 18: -0.00113435 44: -0.000306756 99: 4.34028e-05 100: 6.2004e-06 101: 4.34028e-05 102: 6.2004e-06 185: 0.000189058 186: -1.86347e-20 187: 5.1126e-05 188: -7.30372e-06 191: 5.1126e-05 192: -7.30372e-06 580: -2.48016e-05 607: -2.92149e-05
Row 186: 2: 1.32137e-19 17: 0.000189058 18: -0.000189058 44: -6.77626e-21 99: -6.2004e-06 100: -3.1002e-06 101: 6.2004e-06 102: 3.1002e-06 185: -1.86347e-20 186: 2.02562e-05 187: -7.30372e-06 188: 3.65186e-06 191: 7.30372e-06 192: -3.65186e-06 580: 1.05879e-20 607: -1.69407e-21
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Row 188: 16: -1.13502e-19 17: 0.000175156 18: -1.64324e-19 44: -0.000175156 179: -5.20739e-06 180: -2.6037e-06 183: 5.20739e-06 184: 2.6037e-06 185: -7.30372e-06 186: 3.65186e-06 187: 3.81165e-20 188: 1.87667e-05 191: 7.30372e-06 192: 3.65186e-06 578: -8.57621e-21 607: -1.27055e-20
Row 189: 18: -0.000418771 19: -0.000418771 45: -0.000209386 189: 6.97952e-05 190: 0 193: 3.48976e-05 194: -4.98537e-06 197: 3.48976e-05 198: -4.98537e-06 581: -1.99415e-05
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Row 191: 17: -0.000306756 18: -0.00109618 44: -0.00109618 45: -0.000241334 185: 5.1126e-05 186: 7.30372e-06 187: 5.1126e-05 188: 7.30372e-06 191: 0.000182697 192: 4.23516e-20 193: 4.02223e-05 194: -5.74605e-06 337: 4.02223e-05 338: -5.74605e-06 607: -2.92149e-05 608: -2.29842e-05
Row 192: 17: -1.55854e-19 18: 0.000182697 44: -0.000182697 45: -1.30443e-19 185: -7.30372e-06 186: -3.65186e-06 187: 7.30372e-06 188: 3.65186e-06 191: 4.23516e-20 192: 1.95746e-05 193: -5.74605e-06 194: 2.87302e-06 337: 5.74605e-06 338: -2.87302e-06 607: -1.16467e-20 608: -1.0482e-20
Row 193: 18: -0.000901439 19: -0.000209386 44: -0.000241334 45: -0.000901439 189: 3.48976e-05 190: -4.98537e-06 191: 4.02223e-05 192: -5.74605e-06 193: 0.00015024 194: 1.60936e-20 197: 3.48976e-05 198: 4.98537e-06 337: 4.02223e-05 338: 5.74605e-06 581: -1.99415e-05 608: -2.29842e-05
Row 194: 18: 0.00015024 19: -1.13502e-19 44: -1.01644e-20 45: -0.00015024 189: -4.98537e-06 190: 2.49269e-06 191: -5.74605e-06 192: 2.87302e-06 193: 1.60936e-20 194: 1.60971e-05 197: 4.98537e-06 198: 2.49269e-06 337: 5.74605e-06 338: 2.87302e-06 581: -8.99973e-21 608: -1.27055e-21
Row 195: 19: -0.000493503 20: -0.000493503 46: -0.000246751 195: 8.22504e-05 196: 0 199: 4.11252e-05 200: -5.87503e-06 203: 4.11252e-05 204: -5.87503e-06 582: -2.35001e-05
Row 196: 19: 8.22504e-05 20: -8.22504e-05 46: -8.47033e-21 195: 0 196: 8.81255e-06 199: -5.87503e-06 200: 2.93752e-06 203: 5.87503e-06 204: -2.93752e-06 582: -1.27055e-21
Row 197: 18: -0.000209386 19: -0.000814637 45: -0.000814637 46: -0.000197933 189: 3.48976e-05 190: 4.98537e-06 193: 3.48976e-05 194: 4.98537e-06 197: 0.000135773 198: 3.13402e-20 199: 3.29888e-05 200: -4.71269e-06 341: 3.29888e-05 342: -4.71269e-06 581: -1.99415e-05 583: -1.88508e-05
Row 198: 18: -1.07573e-19 19: 0.000135773 45: -0.000135773 46: -1.10114e-19 189: -4.98537e-06 190: -2.49269e-06 193: 4.98537e-06 194: 2.49269e-06 197: 3.13402e-20 198: 1.45471e-05 199: -4.71269e-06 200: 2.35634e-06 341: 4.71269e-06 342: -2.35634e-06 581: -8.04681e-21 583: -8.36445e-21
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Row 233: 25: -0.000749873 26: -0.000188344 51: -0.000186592 52: -0.000749873 229: 3.13907e-05 230: -4.48439e-06 231: 3.10987e-05 232: -4.44267e-06 233: 0.000124979 234: 1.43996e-20 237: 3.13907e-05 238: 4.48439e-06 375: 3.10987e-05 376: 4.44267e-06 595: -1.79375e-05 596: -1.77707e-05
Row 234: 25: 0.000124979 26: -1.03338e-19 51: -6.77626e-21 52: -0.000124979 229: -4.48439e-06 230: 2.24219e-06 231: -4.44267e-06 232: 2.22133e-06 233: 1.43996e-20 234: 1.33906e-05 237: 4.48439e-06 238: 2.24219e-06 375: 4.44267e-06 376: 2.22133e-06 595: -8.15269e-21 596: -1.05879e-21
Row 235: 26: -0.000407524 27: -0.000407524 53: -0.000203762 235: 6.79206e-05 236: 4.23516e-22 239: 3.39603e-05 240: -4.85147e-06 243: 3.39603e-05 244: -4.85147e-06 597: -1.94059e-05
Row 236: 26: 6.79206e-05 27: -6.79206e-05 53: -1.01644e-20 235: 4.23516e-22 236: 7.27721e-06 239: -4.85147e-06 240: 2.42574e-06 243: 4.85147e-06 244: -2.42574e-06 597: -1.05879e-21
Row 237: 25: -0.000188344 26: -0.000736858 52: -0.000736858 53: -0.000180085 229: 3.13907e-05 230: 4.48439e-06 233: 3.13907e-05 234: 4.48439e-06 237: 0.00012281 238: 2.96462e-20 239: 3.00142e-05 240: -4.28774e-06 379: 3.00142e-05 380: -4.28774e-06 595: -1.79375e-05 598: -1.7151e-05
Row 238: 25: -9.65618e-20 26: 0.00012281 52: -0.00012281 53: -9.82558e-20 229: -4.48439e-06 230: -2.24219e-06 233: 4.48439e-06 234: 2.24219e-06 237: 2.96462e-20 238: 1.31582e-05 239: -4.28774e-06 240: 2.14387e-06 379: 4.28774e-06 380: -2.14387e-06 595: -7.19978e-21 598: -7.6233e-21
Row 239: 26: -0.000767694 27: -0.000203762 52: -0.000180085 53: -0.000767694 235: 3.39603e-05 236: -4.85147e-06 237: 3.00142e-05 238: -4.28774e-06 239: 0.000127949 240: 1.60936e-20 243: 3.39603e-05 244: 4.85147e-06 379: 3.00142e-05 380: 4.28774e-06 597: -1.94059e-05 598: -1.7151e-05
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Row 356: 46: -1.49078e-19 47: 0.000193732 67: -1.60936e-19 68: -0.000193732 345: -6.89326e-06 346: -3.44663e-06 349: 6.89326e-06 350: 3.44663e-06 353: -6.94475e-06 354: 3.47238e-06 355: 4.57398e-20 356: 2.0757e-05 459: 6.94475e-06 460: 3.47238e-06 631: -1.12232e-20 632: -1.21761e-20
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Row 358: 22: 1.10114e-19 48: 0.000147693 49: -0.000147693 69: -6.77626e-21 215: -5.19429e-06 216: -2.59714e-06 217: 5.19429e-06 218: 2.59714e-06 357: -1.52466e-20 358: 1.58242e-05 361: -5.35518e-06 362: 2.67759e-06 365: 5.35518e-06 366: -2.67759e-06 589: 8.68209e-21 634: -6.35275e-22
Row 359: 47: -0.000245157 48: -0.000968339 67: -0.000968339 69: -0.000239012 351: 4.08595e-05 352: 5.83707e-06 353: 4.08595e-05 354: 5.83707e-06 359: 0.00016139 360: 3.55754e-20 361: 3.98354e-05 362: -5.69077e-06 461: 3.98354e-05 462: -5.69077e-06 630: -2.33483e-05 635: -2.27631e-05
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Row 363: 23: -0.000188957 49: -0.000783917 50: -0.000783917 70: -0.000203001 221: 3.14929e-05 222: 4.49898e-06 223: 3.14929e-05 224: 4.49898e-06 363: 0.000130653 364: -1.60936e-20 367: 3.38335e-05 368: -4.83336e-06 371: 3.38335e-05 372: -4.83336e-06 591: -1.79959e-05 636: -1.93334e-05
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Row 369: 24: -0.000187812 50: -0.000693597 51: -0.000693597 71: -0.000158987 225: 3.13019e-05 226: 4.4717e-06 227: 3.13019e-05 228: 4.4717e-06 369: 0.000115599 370: -1.35525e-20 373: 2.64978e-05 374: -3.7854e-06 377: 2.64978e-05 378: -3.7854e-06 593: -1.78868e-05 638: -1.51416e-05
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Row 375: 25: -0.000186592 51: -0.000683818 52: -0.000683818 71: -0.000155317 231: 3.10987e-05 232: 4.44267e-06 233: 3.10987e-05 234: 4.44267e-06 375: 0.00011397 376: -1.52466e-20 377: 2.58862e-05 378: -3.69802e-06 381: 2.58862e-05 382: -3.69802e-06 596: -1.77707e-05 640: -1.47921e-05
Row 376: 25: 9.65618e-20 51: 0.00011397 52: -0.00011397 71: -5.0822e-21 231: -4.44267e-06 232: -2.22133e-06 233: 4.44267e-06 234: 2.22133e-06 375: -1.52466e-20 376: 1.2211e-05 377: -3.69802e-06 378: 1.84901e-06 381: 3.69802e-06 382: -1.84901e-06 596: 7.30566e-21 640: -6.35275e-22
Row 377: 50: -0.000158987 51: -0.000628608 52: -0.000155317 71: -0.000628608 369: 2.64978e-05 370: 3.7854e-06 373: 2.64978e-05 374: 3.7854e-06 375: 2.58862e-05 376: -3.69802e-06 377: 0.000104768 378: 2.32934e-20 381: 2.58862e-05 382: 3.69802e-06 638: -1.51416e-05 640: -1.47921e-05
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Row 379: 26: -0.000180085 52: -0.00074706 53: -0.00074706 73: -0.000193445 237: 3.00142e-05 238: 4.28774e-06 239: 3.00142e-05 240: 4.28774e-06 379: 0.00012451 380: -1.43996e-20 383: 3.22409e-05 384: -4.60584e-06 389: 3.22409e-05 390: -4.60584e-06 598: -1.7151e-05 642: -1.84233e-05
Row 380: 26: 9.06325e-20 52: 0.00012451 53: -0.00012451 73: -6.77626e-21 237: -4.28774e-06 238: -2.14387e-06 239: 4.28774e-06 240: 2.14387e-06 379: -1.43996e-20 380: 1.33404e-05 383: -4.60584e-06 384: 2.30292e-06 389: 4.60584e-06 390: -2.30292e-06 598: 6.98802e-21 642: -1.05879e-21
Row 381: 51: -0.000155317 52: -0.000620308 71: -0.000620308 73: -0.000154837 375: 2.58862e-05 376: 3.69802e-06 377: 2.58862e-05 378: 3.69802e-06 381: 0.000103385 382: 2.6258e-20 383: 2.58062e-05 384: -3.68659e-06 483: 2.58062e-05 484: -3.68659e-06 640: -1.47921e-05 643: -1.47464e-05
Row 382: 51: -8.04681e-20 52: 0.000103385 71: -0.000103385 73: -8.38563e-20 375: -3.69802e-06 376: -1.84901e-06 377: 3.69802e-06 378: 1.84901e-06 381: 2.6258e-20 382: 1.10769e-05 383: -3.68659e-06 384: 1.8433e-06 483: 3.68659e-06 484: -1.8433e-06 640: -5.82335e-21 643: -6.88214e-21
Row 383: 52: -0.000696564 53: -0.000193445 71: -0.000154837 73: -0.000696564 379: 3.22409e-05 380: -4.60584e-06 381: 2.58062e-05 382: -3.68659e-06 383: 0.000116094 384: 1.43996e-20 389: 3.22409e-05 390: 4.60584e-06 483: 2.58062e-05 484: 3.68659e-06 642: -1.84233e-05 643: -1.47464e-05
Row 384: 52: 0.000116094 53: -1.06726e-19 71: -5.0822e-21 73: -0.000116094 379: -4.60584e-06 380: 2.30292e-06 381: -3.68659e-06 382: 1.8433e-06 383: 1.43996e-20 384: 1.24386e-05 389: 4.60584e-06 390: 2.30292e-06 483: 3.68659e-06 484: 1.8433e-06 642: -8.36445e-21 643: -4.23516e-22
Row 385: 27: -0.000201651 53: -0.000823873 54: -0.000823873 72: -0.000210286 243: 3.36085e-05 244: 4.80121e-06 245: 3.36085e-05 246: 4.80121e-06 385: 0.000137312 386: -1.69407e-20 387: 3.50476e-05 388: -5.00681e-06 393: 3.50476e-05 394: -5.00681e-06 600: -1.92048e-05 641: -2.00272e-05
Row 386: 27: 1.01644e-19 53: 0.000137312 54: -0.000137312 72: -3.38813e-21 243: -4.80121e-06 244: -2.4006e-06 245: 4.80121e-06 246: 2.4006e-06 385: -1.69407e-20 386: 1.4712e-05 387: -5.00681e-06 388: 2.5034e-06 393: 5.00681e-06 394: -2.5034e-06 600: 8.04681e-21 641: -1.27055e-21
Row 387: 53: -0.000817516 54: -0.000210286 72: -0.000817516 73: -0.000198472 385: 3.50476e-05 386: -5.00681e-06 387: 0.000136253 388: 1.52466e-20 389: 3.30787e-05 390: -4.72553e-06 393: 3.50476e-05 394: 5.00681e-06 485: 3.30787e-05 486: -4.72553e-06 641: -2.00272e-05 644: -1.89021e-05
Row 388: 53: 0.000136253 54: -1.15196e-19 72: -0.000136253 73: -6.77626e-21 385: -5.00681e-06 386: 2.5034e-06 387: 1.52466e-20 388: 1.45985e-05 389: -4.72553e-06 390: 2.36276e-06 393: 5.00681e-06 394: 2.5034e-06 485: 4.72553e-06 486: -2.36276e-06 641: -8.99973e-21 644: -8.47033e-22
Row 389: 52: -0.000193445 53: -0.000783835 72: -0.000198472 73: -0.000783835 379: 3.22409e-05 380: 4.60584e-06 383: 3.22409e-05 384: 4.60584e-06 387: 3.30787e-05 388: -4.72553e-06 389: 0.000130639 390: 3.04932e-20 485: 3.30787e-05 486: 4.72553e-06 642: -1.84233e-05 644: -1.89021e-05
Row 390: 52: -9.82558e-20 53: 0.000130639 72: -1.0842e-19 73: -0.000130639 379: -4.60584e-06 380: -2.30292e-06 383: 4.60584e-06 384: 2.30292e-06 387: -4.72553e-06 388: 2.36276e-06 389: 3.04932e-20 390: 1.3997e-05 485: 4.72553e-06 486: 2.36276e-06 642: -8.04681e-21 644: -8.47033e-21
Row 391: 28: -0.00021378 54: -0.000863625 55: -0.000863625 74: -0.000218033 249: 3.56299e-05 250: 5.08999e-06 251: 3.56299e-05 252: 5.08999e-06 391: 0.000143937 392: -1.60936e-20 395: 3.63388e-05 396: -5.19126e-06 399: 3.63388e-05 400: -5.19126e-06 602: -2.036e-05 645: -2.0765e-05
Row 392: 28: 1.09267e-19 54: 0.000143937 55: -0.000143937 74: -6.77626e-21 249: -5.08999e-06 250: -2.54499e-06 251: 5.08999e-06 252: 2.54499e-06 391: -1.60936e-20 392: 1.54219e-05 395: -5.19126e-06 396: 2.59563e-06 399: 5.19126e-06 400: -2.59563e-06 602: 8.57621e-21 645: -1.05879e-21
Row 393: 53: -0.000210286 54: -0.000846662 72: -0.000846662 74: -0.000213045 385: 3.50476e-05 386: 5.00681e-06 387: 3.50476e-05 388: 5.00681e-06 393: 0.00014111 394: 3.21873e-20 395: 3.55075e-05 396: -5.0725e-06 487: 3.55075e-05 488: -5.0725e-06 641: -2.00272e-05 646: -2.029e-05
Row 394: 53: -1.05879e-19 54: 0.00014111 72: -0.00014111 74: -1.13502e-19 385: -5.00681e-06 386: -2.5034e-06 387: 5.00681e-06 388: 2.5034e-06 393: 3.21873e-20 394: 1.5119e-05 395: -5.0725e-06 396: 2.53625e-06 487: 5.0725e-06 488: -2.53625e-06 641: -8.04681e-21 646: -9.21148e-21
Row 395: 54: -0.000862156 55: -0.000218033 72: -0.000213045 74: -0.000862156 391: 3.63388e-05 392: -5.19126e-06 393: 3.55075e-05 394: -5.0725e-06 395: 0.000143693 396: 1.60936e-20 399: 3.63388e-05 400: 5.19126e-06 487: 3.55075e-05 488: 5.0725e-06 645: -2.0765e-05 646: -2.029e-05
Row 396: 54: 0.000143693 55: -1.18585e-19 72: -5.0822e-21 74: -0.000143693 391: -5.19126e-06 392: 2.59563e-06 393: -5.0725e-06 394: 2.53625e-06 395: 1.60936e-20 396: 1.53956e-05 399: 5.19126e-06 400: 2.59563e-06 487: 5.0725e-06 488: 2.53625e-06 645: -9.52912e-21 646: -8.47033e-22
Row 397: 29: -0.000267156 55: -0.00101623 56: -0.00101623 75: -0.000240962 255: 4.45259e-05 256: 6.36085e-06 257: 4.45259e-05 258: 6.36085e-06 397: 0.000169372 398: -2.20229e-20 401: 4.01603e-05 402: -5.73718e-06 405: 4.01603e-05 406: -5.73718e-06 604: -2.54434e-05 647: -2.29487e-05
Row 398: 29: 1.32137e-19 55: 0.000169372 56: -0.000169372 75: -1.69407e-21 255: -6.36085e-06 256: -3.18042e-06 257: 6.36085e-06 258: 3.18042e-06 397: -2.20229e-20 398: 1.8147e-05 401: -5.73718e-06 402: 2.86859e-06 405: 5.73718e-06 406: -2.86859e-06 604: 1.07997e-20 647: -1.27055e-21
Row 399: 54: -0.000218033 55: -0.000831708 74: -0.000831708 75: -0.000197821 391: 3.63388e-05 392: 5.19126e-06 395: 3.63388e-05 396: 5.19126e-06 399: 0.000138618 400: 3.13402e-20 401: 3.29701e-05 402: -4.71002e-06 495: 3.29701e-05 496: -4.71002e-06 645: -2.0765e-05 648: -1.88401e-05
Row 400: 54: -1.11808e-19 55: 0.000138618 74: -0.000138618 75: -1.0842e-19 391: -5.19126e-06 392: -2.59563e-06 395: 5.19126e-06 396: 2.59563e-06 399: 3.13402e-20 400: 1.48519e-05 401: -4.71002e-06 402: 2.35501e-06 495: 4.71002e-06 496: -2.35501e-06 645: -8.68209e-21 648: -8.78797e-21
Row 401: 55: -0.000877565 56: -0.000240962 74: -0.000197821 75: -0.000877565 397: 4.01603e-05 398: -5.73718e-06 399: 3.29701e-05 400: -4.71002e-06 401: 0.000146261 402: 1.86347e-20 405: 4.01603e-05 406: 5.73718e-06 495: 3.29701e-05 496: 4.71002e-06 647: -2.29487e-05 648: -1.88401e-05
Row 402: 55: 0.000146261 56: -1.32137e-19 74: -6.77626e-21 75: -0.000146261 397: -5.73718e-06 398: 2.86859e-06 399: -4.71002e-06 400: 2.35501e-06 401: 1.86347e-20 402: 1.56708e-05 405: 5.73718e-06 406: 2.86859e-06 495: 4.71002e-06 496: 2.35501e-06 647: -1.01644e-20 648: -1.27055e-21
Row 403: 32: -0.000300986 56: -0.00106937 58: -0.00106937 75: -0.000233701 269: 5.01643e-05 270: 7.16632e-06 271: 5.01643e-05 272: 7.16632e-06 403: 0.000178229 404: -2.32934e-20 405: 3.89502e-05 406: -5.56431e-06 415: 3.89502e-05 416: -5.56431e-06 653: -2.22572e-05 654: -2.86653e-05
Row 404: 32: 1.57548e-19 56: 0.000178229 58: -0.000178229 75: -6.77626e-21 269: -7.16632e-06 270: -3.58316e-06 271: 7.16632e-06 272: 3.58316e-06 403: -2.32934e-20 404: 1.90959e-05 405: -5.56431e-06 406: 2.78215e-06 415: 5.56431e-06 416: -2.78215e-06 653: -1.27055e-21 654: 1.18585e-20
Row 405: 55: -0.000240962 56: -0.000949325 58: -0.000233701 75: -0.000949325 397: 4.01603e-05 398: 5.73718e-06 401: 4.01603e-05 402: 5.73718e-06 403: 3.89502e-05 404: -5.56431e-06 405: 0.000158221 406: 3.81165e-20 415: 3.89502e-05 416: 5.56431e-06 647: -2.29487e-05 653: -2.22572e-05
Row 406: 55: -1.21973e-19 56: 0.000158221 58: -1.28749e-19 75: -0.000158221 397: -5.73718e-06 398: -2.86859e-06 401: 5.73718e-06 402: 2.86859e-06 403: -5.56431e-06 404: 2.78215e-06 405: 3.81165e-20 406: 1.69522e-05 415: 5.56431e-06 416: 2.78215e-06 647: -9.74088e-21 653: -9.95264e-21
Row 407: 33: -0.000268182 57: -0.00115639 58: -0.00115639 83: -0.000310013 275: 4.46969e-05 276: 6.38528e-06 277: 4.46969e-05 278: 6.38528e-06 407: 0.000192732 408: 4.31987e-20 411: 5.16689e-05 412: -7.38127e-06 417: 5.16689e-05 418: -7.38127e-06 612: -2.55411e-05 669: -2.95251e-05
Row 408: 33: -1.38913e-19 57: 0.000192732 58: -0.000192732 83: -1.69407e-19 275: -6.38528e-06 276: -3.19264e-06 277: 6.38528e-06 278: 3.19264e-06 407: 4.31987e-20 408: 2.06498e-05 411: -7.38127e-06 412: 3.69064e-06 417: 7.38127e-06 418: -3.69064e-06 612: -1.03762e-20 669: -1.33408e-20
Row 409: 34: -0.000258105 57: -0.00107302 76: -0.00107302 86: -0.000278403 281: 4.30176e-05 282: 6.14537e-06 283: 4.30176e-05 284: 6.14537e-06 409: 0.000178836 410: -2.20229e-20 413: 4.64005e-05 414: -6.62865e-06 505: 4.64005e-05 506: -6.62865e-06 650: -2.45815e-05 679: -2.65146e-05
Row 410: 34: 1.32137e-19 57: 0.000178836 76: -0.000178836 86: -6.77626e-21 281: -6.14537e-06 282: -3.07268e-06 283: 6.14537e-06 284: 3.07268e-06 409: -2.20229e-20 410: 1.9161e-05 413: -6.62865e-06 414: 3.31432e-06 505: 6.62865e-06 506: -3.31432e-06 650: 1.01644e-20 679: -8.47033e-22
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Row 431: 39: -0.00014484 61: -0.00063336 63: -0.00063336 77: -0.00017184 309: 2.414e-05 310: 3.44858e-06 311: 2.414e-05 312: 3.44858e-06 431: 0.00010556 432: -1.10114e-20 433: 2.864e-05 434: -4.09143e-06 443: 2.864e-05 444: -4.09143e-06 621: -1.37943e-05 656: -1.63657e-05
Row 432: 39: 7.708e-20 61: 0.00010556 63: -0.00010556 77: -5.0822e-21 309: -3.44858e-06 310: -1.72429e-06 311: 3.44858e-06 312: 1.72429e-06 431: -1.10114e-20 432: 1.131e-05 433: -4.09143e-06 434: 2.04571e-06 443: 4.09143e-06 444: -2.04571e-06 621: 5.61159e-21 656: -4.23516e-22
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Row 434: 60: -8.89385e-20 61: 0.00011581 63: -9.31736e-20 77: -0.00011581 427: -4.18075e-06 428: -2.09037e-06 429: 4.18075e-06 430: 2.09037e-06 431: -4.09143e-06 432: 2.04571e-06 433: 2.66815e-20 434: 1.24083e-05 443: 4.09143e-06 444: 2.04571e-06 655: -6.77626e-21 656: -7.19978e-21
Row 435: 40: -0.000157942 62: -0.00068832 63: -0.00068832 77: -0.000186218 315: 2.63236e-05 316: 3.76052e-06 317: 2.63236e-05 318: 3.76052e-06 435: 0.00011472 436: 2.71051e-20 439: 3.10364e-05 440: -4.43377e-06 443: 3.10364e-05 444: -4.43377e-06 622: -1.50421e-05 675: -1.77351e-05
Row 436: 40: -7.87741e-20 62: 0.00011472 63: -0.00011472 77: -1.03338e-19 315: -3.76052e-06 316: -1.88026e-06 317: 3.76052e-06 318: 1.88026e-06 435: 2.71051e-20 436: 1.22914e-05 439: -4.43377e-06 440: 2.21688e-06 443: 4.43377e-06 444: -2.21688e-06 622: -6.24687e-21 675: -8.04681e-21
Row 437: 41: -0.000210138 62: -0.000871061 64: -0.000871061 78: -0.000225393 321: 3.5023e-05 322: 5.00328e-06 323: 3.5023e-05 324: 5.00328e-06 437: 0.000145177 438: -1.65171e-20 441: 3.75654e-05 442: -5.36649e-06 447: 3.75654e-05 448: -5.36649e-06 624: -2.00131e-05 659: -2.1466e-05
Row 438: 41: 1.05032e-19 62: 0.000145177 64: -0.000145177 78: -5.0822e-21 321: -5.00328e-06 322: -2.50164e-06 323: 5.00328e-06 324: 2.50164e-06 437: -1.65171e-20 438: 1.55547e-05 441: -5.36649e-06 442: 2.68325e-06 447: 5.36649e-06 448: -2.68325e-06 624: 7.94093e-21 659: -8.47033e-22
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Row 440: 62: 0.00014401 63: -6.77626e-21 77: -0.00014401 78: -1.33831e-19 435: -4.43377e-06 436: 2.21688e-06 439: 1.77877e-20 440: 1.54296e-05 441: -5.85266e-06 442: 2.92633e-06 443: 4.43377e-06 444: 2.21688e-06 507: 5.85266e-06 508: -2.92633e-06 675: -8.47033e-22 677: -1.0482e-20
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Row 442: 62: 0.000157068 64: -1.25361e-19 77: -1.01644e-20 78: -0.000157068 437: -5.36649e-06 438: 2.68325e-06 439: -5.85266e-06 440: 2.92633e-06 441: 1.82112e-20 442: 1.68287e-05 447: 5.36649e-06 448: 2.68325e-06 507: 5.85266e-06 508: 2.92633e-06 659: -9.95264e-21 677: -1.27055e-21
Row 443: 61: -0.00017184 62: -0.000186218 63: -0.000716117 77: -0.000716117 431: 2.864e-05 432: 4.09143e-06 433: 2.864e-05 434: 4.09143e-06 435: 3.10364e-05 436: 4.43377e-06 439: 3.10364e-05 440: 4.43377e-06 443: 0.000119353 444: -8.47033e-22 656: -1.63657e-05 675: -1.77351e-05
Row 444: 61: -8.72444e-20 62: 9.48677e-20 63: 0.000119353 77: -0.000119353 431: -4.09143e-06 432: -2.04571e-06 433: 4.09143e-06 434: 2.04571e-06 435: -4.43377e-06 436: -2.21688e-06 439: 4.43377e-06 440: 2.21688e-06 443: -8.47033e-22 444: 1.27878e-05 656: -6.98802e-21 675: 7.19978e-21
Row 445: 42: -0.000243809 64: -0.000997996 65: -0.000997996 82: -0.000255188 327: 4.06349e-05 328: 5.80499e-06 329: 4.06349e-05 330: 5.80499e-06 445: 0.000166333 446: -1.65171e-20 449: 4.25314e-05 450: -6.07591e-06 455: 4.25314e-05 456: -6.07591e-06 626: -2.32199e-05 665: -2.43037e-05
Row 446: 42: 1.23667e-19 64: 0.000166333 65: -0.000166333 82: -8.47033e-21 327: -5.80499e-06 328: -2.90249e-06 329: 5.80499e-06 330: 2.90249e-06 445: -1.65171e-20 446: 1.78214e-05 449: -6.07591e-06 450: 3.03796e-06 455: 6.07591e-06 456: -3.03796e-06 626: 9.74088e-21 665: -1.27055e-21
Row 447: 62: -0.000225393 64: -0.000966334 78: -0.000966334 82: -0.000257774 437: 3.75654e-05 438: 5.36649e-06 441: 3.75654e-05 442: 5.36649e-06 447: 0.000161056 448: 3.64224e-20 449: 4.29624e-05 450: -6.13749e-06 511: 4.29624e-05 512: -6.13749e-06 659: -2.1466e-05 666: -2.45499e-05
Row 448: 62: -1.15196e-19 64: 0.000161056 78: -0.000161056 82: -1.38913e-19 437: -5.36649e-06 438: -2.68325e-06 441: 5.36649e-06 442: 2.68325e-06 447: 3.64224e-20 448: 1.7256e-05 449: -6.13749e-06 450: 3.06874e-06 511: 6.13749e-06 512: -3.06874e-06 659: -8.89385e-21 666: -1.10114e-20
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Row 451: 43: -0.000243931 65: -0.00105442 66: -0.00105442 68: -0.000283278 333: 4.06551e-05 334: 5.80788e-06 335: 4.06551e-05 336: 5.80788e-06 451: 0.000175736 452: -1.77877e-20 453: 4.7213e-05 454: -6.74471e-06 457: 4.7213e-05 458: -6.74471e-06 628: -2.32315e-05 658: -2.69788e-05
Row 452: 43: 1.27055e-19 65: 0.000175736 66: -0.000175736 68: -6.77626e-21 333: -5.80788e-06 334: -2.90394e-06 335: 5.80788e-06 336: 2.90394e-06 451: -1.77877e-20 452: 1.88289e-05 453: -6.74471e-06 454: 3.37236e-06 457: 6.74471e-06 458: -3.37236e-06 628: 9.42324e-21 658: -8.47033e-22
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Row 454: 65: 0.000199874 66: -1.52466e-19 68: -0.000199874 82: -1.35525e-20 451: -6.74471e-06 452: 3.37236e-06 453: 2.11758e-20 454: 2.14151e-05 455: -7.532e-06 456: 3.766e-06 457: 6.74471e-06 458: 3.37236e-06 469: 7.532e-06 470: -3.766e-06 658: -1.15408e-20 667: -1.69407e-21
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Row 456: 64: -1.28749e-19 65: 0.000190511 68: -1.67713e-19 82: -0.000190511 445: -6.07591e-06 446: -3.03796e-06 449: 6.07591e-06 450: 3.03796e-06 453: -7.532e-06 454: 3.766e-06 455: 4.48927e-20 456: 2.04119e-05 469: 7.532e-06 470: 3.766e-06 665: -1.00585e-20 667: -1.35525e-20
Row 457: 46: -0.000286484 65: -0.000283278 66: -0.00113952 68: -0.00113952 347: 4.77473e-05 348: 6.82105e-06 349: 4.77473e-05 350: 6.82105e-06 451: 4.7213e-05 452: 6.74471e-06 453: 4.7213e-05 454: 6.74471e-06 457: 0.000189921 458: 0 652: -2.72842e-05 658: -2.69788e-05
Row 458: 46: 1.4569e-19 65: -1.42302e-19 66: 0.000189921 68: -0.000189921 347: -6.82105e-06 348: -3.41052e-06 349: 6.82105e-06 350: 3.41052e-06 451: -6.74471e-06 452: -3.37236e-06 453: 6.74471e-06 454: 3.37236e-06 457: 0 458: 2.03486e-05 652: 1.07997e-20 658: -1.10114e-20
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Row 460: 47: -1.5416e-19 67: 0.000198543 68: -0.000198543 81: -1.67713e-19 353: -6.94475e-06 354: -3.47238e-06 355: 6.94475e-06 356: 3.47238e-06 459: 4.23516e-20 460: 2.12725e-05 465: -7.23688e-06 466: 3.61844e-06 467: 7.23688e-06 468: -3.61844e-06 632: -1.14349e-20 663: -1.33408e-20
Row 461: 48: -0.000239012 67: -0.000907453 69: -0.000907453 80: -0.000214714 359: 3.98354e-05 360: 5.69077e-06 361: 3.98354e-05 362: 5.69077e-06 461: 0.000151242 462: -1.69407e-20 463: 3.57857e-05 464: -5.11224e-06 475: 3.57857e-05 476: -5.11224e-06 635: -2.27631e-05 661: -2.04489e-05
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Row 463: 67: -0.000885049 69: -0.000214714 80: -0.000885049 81: -0.00022781 461: 3.57857e-05 462: -5.11224e-06 463: 0.000147508 464: 1.69407e-20 465: 3.79684e-05 466: -5.42406e-06 475: 3.57857e-05 476: 5.11224e-06 523: 3.79684e-05 524: -5.42406e-06 661: -2.04489e-05 664: -2.16962e-05
Row 464: 67: 0.000147508 69: -1.16891e-19 80: -0.000147508 81: -8.47033e-21 461: -5.11224e-06 462: 2.55612e-06 463: 1.69407e-20 464: 1.58044e-05 465: -5.42406e-06 466: 2.71203e-06 475: 5.11224e-06 476: 2.55612e-06 523: 5.42406e-06 524: -2.71203e-06 661: -9.1056e-21 664: -8.47033e-22
Row 465: 67: -0.00106352 68: -0.000303949 80: -0.00022781 81: -0.00106352 459: 5.06582e-05 460: -7.23688e-06 463: 3.79684e-05 464: -5.42406e-06 465: 0.000177253 466: 1.69407e-20 467: 5.06582e-05 468: 7.23688e-06 523: 3.79684e-05 524: 5.42406e-06 663: -2.89475e-05 664: -2.16962e-05
Row 466: 67: 0.000177253 68: -6.77626e-21 80: -1.23667e-19 81: -0.000177253 459: -7.23688e-06 460: 3.61844e-06 463: -5.42406e-06 464: 2.71203e-06 465: 1.69407e-20 466: 1.89914e-05 467: 7.23688e-06 468: 3.61844e-06 523: 5.42406e-06 524: 2.71203e-06 663: -1.27055e-21 664: -9.74088e-21
Row 467: 67: -0.000303949 68: -0.00123031 81: -0.00123031 82: -0.000311204 459: 5.06582e-05 460: 7.23688e-06 465: 5.06582e-05 466: 7.23688e-06 467: 0.000205051 468: -2.20229e-20 469: 5.18673e-05 470: -7.40961e-06 527: 5.18673e-05 528: -7.40961e-06 663: -2.89475e-05 674: -2.96384e-05
Row 468: 67: 1.57548e-19 68: 0.000205051 81: -0.000205051 82: -6.77626e-21 459: -7.23688e-06 460: -3.61844e-06 465: 7.23688e-06 466: 3.61844e-06 467: -2.20229e-20 468: 2.19697e-05 469: -7.40961e-06 470: 3.70481e-06 527: 7.40961e-06 528: -3.70481e-06 663: 1.20702e-20 674: -1.27055e-21
Row 469: 65: -0.000316344 68: -0.0012551 81: -0.000311204 82: -0.0012551 453: 5.2724e-05 454: 7.532e-06 455: 5.2724e-05 456: 7.532e-06 467: 5.18673e-05 468: -7.40961e-06 469: 0.000209183 470: 4.74338e-20 527: 5.18673e-05 528: 7.40961e-06 667: -3.0128e-05 674: -2.96384e-05
Row 470: 65: -1.59242e-19 68: 0.000209183 81: -1.69407e-19 82: -0.000209183 453: -7.532e-06 454: -3.766e-06 455: 7.532e-06 456: 3.766e-06 467: -7.40961e-06 468: 3.70481e-06 469: 4.74338e-20 470: 2.24124e-05 527: 7.40961e-06 528: 3.70481e-06 667: -1.2282e-20 674: -1.3129e-20
Row 471: 49: -0.00020377 69: -0.000887054 70: -0.000887054 79: -0.000239756 365: 3.39617e-05 366: 4.85168e-06 367: 3.39617e-05 368: 4.85168e-06 471: 0.000147842 472: -1.56701e-20 473: 3.99594e-05 474: -5.70848e-06 481: 3.99594e-05 482: -5.70848e-06 637: -1.94067e-05 660: -2.28339e-05
Row 472: 49: 1.04185e-19 69: 0.000147842 70: -0.000147842 79: -8.47033e-21 365: -4.85168e-06 366: -2.42584e-06 367: 4.85168e-06 368: 2.42584e-06 471: -1.56701e-20 472: 1.58402e-05 473: -5.70848e-06 474: 2.85424e-06 481: 5.70848e-06 482: -2.85424e-06 637: 8.04681e-21 660: -8.47033e-22
Row 473: 69: -0.000931434 70: -0.000239756 79: -0.000931434 80: -0.000225961 471: 3.99594e-05 472: -5.70848e-06 473: 0.000155239 474: 1.90582e-20 475: 3.76601e-05 476: -5.38002e-06 481: 3.99594e-05 482: 5.70848e-06 517: 3.76601e-05 518: -5.38002e-06 660: -2.28339e-05 662: -2.15201e-05
Row 474: 69: 0.000155239 70: -1.30443e-19 79: -0.000155239 80: -5.0822e-21 471: -5.70848e-06 472: 2.85424e-06 473: 1.90582e-20 474: 1.66328e-05 475: -5.38002e-06 476: 2.69001e-06 481: 5.70848e-06 482: 2.85424e-06 517: 5.38002e-06 518: -2.69001e-06 660: -1.02703e-20 662: -1.05879e-21
Row 475: 67: -0.000214714 69: -0.000881349 79: -0.000225961 80: -0.000881349 461: 3.57857e-05 462: 5.11224e-06 463: 3.57857e-05 464: 5.11224e-06 473: 3.76601e-05 474: -5.38002e-06 475: 0.000146892 476: 3.30343e-20 517: 3.76601e-05 518: 5.38002e-06 661: -2.04489e-05 662: -2.15201e-05
Row 476: 67: -1.07573e-19 69: 0.000146892 79: -1.21973e-19 80: -0.000146892 461: -5.11224e-06 462: -2.55612e-06 463: 5.11224e-06 464: 2.55612e-06 473: -5.38002e-06 474: 2.69001e-06 475: 3.30343e-20 476: 1.57384e-05 517: 5.38002e-06 518: 2.69001e-06 661: -8.25857e-21 662: -9.74088e-21
Row 477: 50: -0.000158791 70: -0.000639869 71: -0.000639869 73: -0.000161144 371: 2.64651e-05 372: 3.78073e-06 373: 2.64651e-05 374: 3.78073e-06 477: 0.000106645 478: -1.18585e-20 479: 2.68574e-05 480: -3.83676e-06 483: 2.68574e-05 484: -3.83676e-06 639: -1.51229e-05 670: -1.53471e-05
Row 478: 50: 8.21622e-20 70: 0.000106645 71: -0.000106645 73: -6.77626e-21 371: -3.78073e-06 372: -1.89036e-06 373: 3.78073e-06 374: 1.89036e-06 477: -1.18585e-20 478: 1.14262e-05 479: -3.83676e-06 480: 1.91838e-06 483: 3.83676e-06 484: -1.91838e-06 639: 6.14099e-21 670: -4.23516e-22
Row 479: 70: -0.00078584 71: -0.000161144 73: -0.00078584 79: -0.000231776 477: 2.68574e-05 478: -3.83676e-06 479: 0.000130973 480: 1.18585e-20 481: 3.86293e-05 482: -5.51847e-06 483: 2.68574e-05 484: 3.83676e-06 493: 3.86293e-05 494: -5.51847e-06 670: -1.53471e-05 673: -2.20739e-05
Row 480: 70: 0.000130973 71: -8.72444e-20 73: -0.000130973 79: -3.38813e-21 477: -3.83676e-06 478: 1.91838e-06 479: 1.18585e-20 480: 1.40329e-05 481: -5.51847e-06 482: 2.75924e-06 483: 3.83676e-06 484: 1.91838e-06 493: 5.51847e-06 494: -2.75924e-06 670: -6.67038e-21 673: -8.47033e-22
Row 481: 69: -0.000239756 70: -0.000943064 73: -0.000231776 79: -0.000943064 471: 3.99594e-05 472: 5.70848e-06 473: 3.99594e-05 474: 5.70848e-06 479: 3.86293e-05 480: -5.51847e-06 481: 0.000157177 482: 3.81165e-20 493: 3.86293e-05 494: 5.51847e-06 660: -2.28339e-05 673: -2.20739e-05
Row 482: 69: -1.21973e-19 70: 0.000157177 73: -1.23667e-19 79: -0.000157177 471: -5.70848e-06 472: -2.85424e-06 473: 5.70848e-06 474: 2.85424e-06 479: -5.51847e-06 480: 2.75924e-06 481: 3.81165e-20 482: 1.68404e-05 493: 5.51847e-06 494: 2.75924e-06 660: -9.31736e-21 673: -9.95264e-21
Row 483: 52: -0.000154837 70: -0.000161144 71: -0.000631962 73: -0.000631962 381: 2.58062e-05 382: 3.68659e-06 383: 2.58062e-05 384: 3.68659e-06 477: 2.68574e-05 478: 3.83676e-06 479: 2.68574e-05 480: 3.83676e-06 483: 0.000105327 484: 0 643: -1.47464e-05 670: -1.53471e-05
Row 484: 52: 7.96211e-20 70: -8.13152e-20 71: 0.000105327 73: -0.000105327 381: -3.68659e-06 382: -1.8433e-06 383: 3.68659e-06 384: 1.8433e-06 477: -3.83676e-06 478: -1.91838e-06 479: 3.83676e-06 480: 1.91838e-06 483: 0 484: 1.1285e-05 643: 6.35275e-21 670: -6.24687e-21
Row 485: 53: -0.000198472 72: -0.000863324 73: -0.000863324 79: -0.00023319 387: 3.30787e-05 388: 4.72553e-06 389: 3.30787e-05 390: 4.72553e-06 485: 0.000143887 486: 3.13402e-20 489: 3.88649e-05 490: -5.55213e-06 493: 3.88649e-05 494: -5.55213e-06 644: -1.89021e-05 681: -2.22085e-05
Row 486: 53: -9.99499e-20 72: 0.000143887 73: -0.000143887 79: -1.27055e-19 387: -4.72553e-06 388: -2.36276e-06 389: 4.72553e-06 390: 2.36276e-06 485: 3.13402e-20 486: 1.54165e-05 489: -5.55213e-06 490: 2.77607e-06 493: 5.55213e-06 494: -2.77607e-06 644: -7.83505e-21 681: -9.95264e-21
Row 487: 54: -0.000213045 72: -0.000825477 74: -0.000825477 84: -0.000199694 393: 3.55075e-05 394: 5.0725e-06 395: 3.55075e-05 396: 5.0725e-06 487: 0.00013758 488: -1.65171e-20 491: 3.32823e-05 492: -4.75461e-06 499: 3.32823e-05 500: -4.75461e-06 646: -2.029e-05 672: -1.90184e-05
Row 488: 54: 1.09267e-19 72: 0.00013758 74: -0.00013758 84: -5.0822e-21 393: -5.0725e-06 394: -2.53625e-06 395: 5.0725e-06 396: 2.53625e-06 487: -1.65171e-20 488: 1.47407e-05 491: -4.75461e-06 492: 2.3773e-06 499: 4.75461e-06 500: -2.3773e-06 646: 8.47033e-21 672: -8.47033e-22
Row 489: 72: -0.000920798 73: -0.00023319 79: -0.000920798 84: -0.00022721 485: 3.88649e-05 486: -5.55213e-06 489: 0.000153466 490: 1.77877e-20 491: 3.78683e-05 492: -5.40975e-06 493: 3.88649e-05 494: 5.55213e-06 519: 3.78683e-05 520: -5.40975e-06 681: -2.22085e-05 682: -2.1639e-05
Row 490: 72: 0.000153466 73: -1.01644e-20 79: -0.000153466 84: -1.23667e-19 485: -5.55213e-06 486: 2.77607e-06 489: 1.77877e-20 490: 1.64428e-05 491: -5.40975e-06 492: 2.70488e-06 493: 5.55213e-06 494: 2.77607e-06 519: 5.40975e-06 520: -2.70488e-06 681: -1.48231e-21 682: -9.95264e-21
Row 491: 72: -0.000853806 74: -0.000199694 79: -0.00022721 84: -0.000853806 487: 3.32823e-05 488: -4.75461e-06 489: 3.78683e-05 490: -5.40975e-06 491: 0.000142301 492: 1.60936e-20 499: 3.32823e-05 500: 4.75461e-06 519: 3.78683e-05 520: 5.40975e-06 672: -1.90184e-05 682: -2.1639e-05
Row 492: 72: 0.000142301 74: -1.0842e-19 79: -5.0822e-21 84: -0.000142301 487: -4.75461e-06 488: 2.3773e-06 489: -5.40975e-06 490: 2.70488e-06 491: 1.60936e-20 492: 1.52465e-05 499: 4.75461e-06 500: 2.3773e-06 519: 5.40975e-06 520: 2.70488e-06 672: -8.68209e-21 682: -1.27055e-21
Row 493: 70: -0.000231776 72: -0.00023319 73: -0.000929931 79: -0.000929931 479: 3.86293e-05 480: 5.51847e-06 481: 3.86293e-05 482: 5.51847e-06 485: 3.88649e-05 486: 5.55213e-06 489: 3.88649e-05 490: 5.55213e-06 493: 0.000154988 494: 0 673: -2.20739e-05 681: -2.22085e-05
Row 494: 70: -1.20279e-19 72: 1.16891e-19 73: 0.000154988 79: -0.000154988 479: -5.51847e-06 480: -2.75924e-06 481: 5.51847e-06 482: 2.75924e-06 485: -5.55213e-06 486: -2.77607e-06 489: 5.55213e-06 490: 2.77607e-06 493: 0 494: 1.66059e-05 673: -9.1056e-21 681: 9.21148e-21
Row 495: 55: -0.000197821 74: -0.000871268 75: -0.000871268 83: -0.000237813 399: 3.29701e-05 400: 4.71002e-06 401: 3.29701e-05 402: 4.71002e-06 495: 0.000145211 496: -1.43996e-20 497: 3.96355e-05 498: -5.66222e-06 501: 3.96355e-05 502: -5.66222e-06 648: -1.88401e-05 671: -2.26489e-05
Row 496: 55: 1.02491e-19 74: 0.000145211 75: -0.000145211 83: -5.0822e-21 399: -4.71002e-06 400: -2.35501e-06 401: 4.71002e-06 402: 2.35501e-06 495: -1.43996e-20 496: 1.55584e-05 497: -5.66222e-06 498: 2.83111e-06 501: 5.66222e-06 502: -2.83111e-06 648: 7.83505e-21 671: -1.05879e-21
Row 497: 74: -0.000960129 75: -0.000237813 83: -0.000960129 84: -0.000242251 495: 3.96355e-05 496: -5.66222e-06 497: 0.000160021 498: 1.86347e-20 499: 4.03752e-05 500: -5.76788e-06 501: 3.96355e-05 502: 5.66222e-06 535: 4.03752e-05 536: -5.76788e-06 671: -2.26489e-05 680: -2.30715e-05
Row 498: 74: 0.000160021 75: -1.27055e-19 83: -0.000160021 84: -5.0822e-21 495: -5.66222e-06 496: 2.83111e-06 497: 1.86347e-20 498: 1.71452e-05 499: -5.76788e-06 500: 2.88394e-06 501: 5.66222e-06 502: 2.83111e-06 535: 5.76788e-06 536: -2.88394e-06 671: -1.02703e-20 680: -1.05879e-21
Row 499: 72: -0.000199694 74: -0.000883889 83: -0.000242251 84: -0.000883889 487: 3.32823e-05 488: 4.75461e-06 491: 3.32823e-05 492: 4.75461e-06 497: 4.03752e-05 498: -5.76788e-06 499: 0.000147315 500: 3.47284e-20 535: 4.03752e-05 536: 5.76788e-06 672: -1.90184e-05 680: -2.30715e-05
Row 500: 72: -1.01644e-19 74: 0.000147315 83: -1.32137e-19 84: -0.000147315 487: -4.75461e-06 488: -2.3773e-06 491: 4.75461e-06 492: 2.3773e-06 497: -5.76788e-06 498: 2.88394e-06 499: 3.47284e-20 500: 1.57837e-05 535: 5.76788e-06 536: 2.88394e-06 672: -7.83505e-21 680: -1.0482e-20
Row 501: 58: -0.00025199 74: -0.000237813 75: -0.000979606 83: -0.000979606 415: 4.19983e-05 416: 5.99976e-06 417: 4.19983e-05 418: 5.99976e-06 495: 3.96355e-05 496: 5.66222e-06 497: 3.96355e-05 498: 5.66222e-06 501: 0.000163268 502: -3.38813e-21 668: -2.3999e-05 671: -2.26489e-05
Row 502: 58: 1.27055e-19 74: -1.23667e-19 75: 0.000163268 83: -0.000163268 415: -5.99976e-06 416: -2.99988e-06 417: 5.99976e-06 418: 2.99988e-06 495: -5.66222e-06 496: -2.83111e-06 497: 5.66222e-06 498: 2.83111e-06 501: -3.38813e-21 502: 1.7493e-05 668: 9.95264e-21 671: -8.89385e-21
Row 503: 59: -0.000236187 76: -0.00101798 85: -0.00101798 86: -0.000272806 421: 3.93644e-05 422: 5.62349e-06 425: 3.93644e-05 426: 5.62349e-06 503: 0.000169664 504: -1.65171e-20 505: 4.54676e-05 506: -6.49537e-06 543: 4.54676e-05 544: -6.49537e-06 683: -2.2494e-05 691: -2.59815e-05
Row 504: 59: 1.18585e-19 76: 0.000169664 85: -0.000169664 86: -5.0822e-21 421: -5.62349e-06 422: -2.81174e-06 425: 5.62349e-06 426: 2.81174e-06 503: -1.65171e-20 504: 1.81783e-05 505: -6.49537e-06 506: 3.24769e-06 543: 6.49537e-06 544: -3.24769e-06 683: 9.1056e-21 691: -8.47033e-22
Row 505: 57: -0.000278403 76: -0.00110242 85: -0.000272806 86: -0.00110242 409: 4.64005e-05 410: 6.62865e-06 413: 4.64005e-05 414: 6.62865e-06 503: 4.54676e-05 504: -6.49537e-06 505: 0.000183736 506: 4.31987e-20 543: 4.54676e-05 544: 6.49537e-06 679: -2.65146e-05 691: -2.59815e-05
Row 506: 57: -1.38913e-19 76: 0.000183736 85: -1.50772e-19 86: -0.000183736 409: -6.62865e-06 410: -3.31432e-06 413: 6.62865e-06 414: 3.31432e-06 503: -6.49537e-06 504: 3.24769e-06 505: 4.31987e-20 506: 1.9686e-05 543: 6.49537e-06 544: 3.24769e-06 679: -1.07997e-20 691: -1.16467e-20
Row 507: 62: -0.000245812 77: -0.00102842 78: -0.00102842 85: -0.0002684 439: 4.09686e-05 440: 5.85266e-06 441: 4.09686e-05 442: 5.85266e-06 507: 0.000171404 508: -1.86347e-20 509: 4.47334e-05 510: -6.39048e-06 513: 4.47334e-05 514: -6.39048e-06 677: -2.34106e-05 686: -2.55619e-05
Row 508: 62: 1.27055e-19 77: 0.000171404 78: -0.000171404 85: -8.47033e-21 439: -5.85266e-06 440: -2.92633e-06 441: 5.85266e-06 442: 2.92633e-06 507: -1.86347e-20 508: 1.83647e-05 509: -6.39048e-06 510: 3.19524e-06 513: 6.39048e-06 514: -3.19524e-06 677: 9.1056e-21 686: -8.47033e-22
Row 509: 59: -0.000246018 77: -0.00102884 78: -0.0002684 85: -0.00102884 423: 4.1003e-05 424: 5.85758e-06 425: 4.1003e-05 426: 5.85758e-06 507: 4.47334e-05 508: -6.39048e-06 509: 0.000171473 510: 3.72694e-20 513: 4.47334e-05 514: 6.39048e-06 676: -2.34303e-05 686: -2.55619e-05
Row 510: 59: -1.25361e-19 77: 0.000171473 78: -1.43996e-19 85: -0.000171473 423: -5.85758e-06 424: -2.92879e-06 425: 5.85758e-06 426: 2.92879e-06 507: -6.39048e-06 508: 3.19524e-06 509: 3.72694e-20 510: 1.83721e-05 513: 6.39048e-06 514: 3.19524e-06 676: -9.74088e-21 686: -1.15408e-20
Row 511: 64: -0.000257774 78: -0.00106436 82: -0.00106436 88: -0.000274408 447: 4.29624e-05 448: 6.13749e-06 449: 4.29624e-05 450: 6.13749e-06 511: 0.000177394 512: -1.99053e-20 515: 4.57346e-05 516: -6.53351e-06 533: 4.57346e-05 534: -6.53351e-06 666: -2.45499e-05 687: -2.61341e-05
Row 512: 64: 1.30443e-19 78: 0.000177394 82: -0.000177394 88: -1.01644e-20 447: -6.13749e-06 448: -3.06874e-06 449: 6.13749e-06 450: 3.06874e-06 511: -1.99053e-20 512: 1.90065e-05 515: -6.53351e-06 516: 3.26676e-06 533: 6.53351e-06 534: -3.26676e-06 666: 1.01644e-20 687: -1.27055e-21
Row 513: 77: -0.0002684 78: -0.00107303 85: -0.00107303 88: -0.000268112 507: 4.47334e-05 508: 6.39048e-06 509: 4.47334e-05 510: 6.39048e-06 513: 0.000178838 514: 3.98105e-20 515: 4.46854e-05 516: -6.38363e-06 545: 4.46854e-05 546: -6.38363e-06 686: -2.55619e-05 688: -2.55345e-05
Row 514: 77: -1.35525e-19 78: 0.000178838 85: -0.000178838 88: -1.47384e-19 507: -6.39048e-06 508: -3.19524e-06 509: 6.39048e-06 510: 3.19524e-06 513: 3.98105e-20 514: 1.91612e-05 515: -6.38363e-06 516: 3.19181e-06 545: 6.38363e-06 546: -3.19181e-06 686: -1.05879e-20 688: -1.17526e-20
Row 515: 78: -0.00108504 82: -0.000274408 85: -0.000268112 88: -0.00108504 511: 4.57346e-05 512: -6.53351e-06 513: 4.46854e-05 514: -6.38363e-06 515: 0.00018084 516: 2.11758e-20 533: 4.57346e-05 534: 6.53351e-06 545: 4.46854e-05 546: 6.38363e-06 687: -2.61341e-05 688: -2.55345e-05
Row 516: 78: 0.00018084 82: -1.49078e-19 85: -1.01644e-20 88: -0.00018084 511: -6.53351e-06 512: 3.26676e-06 513: -6.38363e-06 514: 3.19181e-06 515: 2.11758e-20 516: 1.93757e-05 533: 6.53351e-06 534: 3.26676e-06 545: 6.38363e-06 546: 3.19181e-06 687: -1.16467e-20 688: -1.27055e-21
Row 517: 69: -0.000225961 79: -0.00100129 80: -0.00100129 87: -0.000274682 473: 3.76601e-05 474: 5.38002e-06 475: 3.76601e-05 476: 5.38002e-06 517: 0.000166881 518: 3.89635e-20 521: 4.57804e-05 522: -6.54005e-06 525: 4.57804e-05 526: -6.54005e-06 662: -2.15201e-05 684: -2.61602e-05
Row 518: 69: -1.13502e-19 79: 0.000166881 80: -0.000166881 87: -1.52466e-19 473: -5.38002e-06 474: -2.69001e-06 475: 5.38002e-06 476: 2.69001e-06 517: 3.89635e-20 518: 1.78801e-05 521: -6.54005e-06 522: 3.27003e-06 525: 6.54005e-06 526: -3.27003e-06 662: -9.1056e-21 684: -1.20702e-20
Row 519: 72: -0.00022721 79: -0.00099665 84: -0.00099665 87: -0.000271116 489: 3.78683e-05 490: 5.40975e-06 491: 3.78683e-05 492: 5.40975e-06 519: 0.000166108 520: -1.86347e-20 521: 4.51859e-05 522: -6.45513e-06 541: 4.51859e-05 542: -6.45513e-06 682: -2.1639e-05 685: -2.58205e-05
Row 520: 72: 1.15196e-19 79: 0.000166108 84: -0.000166108 87: -3.38813e-21 489: -5.40975e-06 490: -2.70488e-06 491: 5.40975e-06 492: 2.70488e-06 519: -1.86347e-20 520: 1.77973e-05 521: -6.45513e-06 522: 3.22757e-06 541: 6.45513e-06 542: -3.22757e-06 682: 8.89385e-21 685: -1.69407e-21
Row 521: 79: -0.0010916 80: -0.000274682 84: -0.000271116 87: -0.0010916 517: 4.57804e-05 518: -6.54005e-06 519: 4.51859e-05 520: -6.45513e-06 521: 0.000181933 522: 2.15993e-20 525: 4.57804e-05 526: 6.54005e-06 541: 4.51859e-05 542: 6.45513e-06 684: -2.61602e-05 685: -2.58205e-05
Row 522: 79: 0.000181933 80: -8.47033e-21 84: -1.47384e-19 87: -0.000181933 517: -6.54005e-06 518: 3.27003e-06 519: -6.45513e-06 520: 3.22757e-06 521: 2.15993e-20 522: 1.94928e-05 525: 6.54005e-06 526: 3.27003e-06 541: 6.45513e-06 542: 3.22757e-06 684: -8.47033e-22 685: -1.14349e-20
Row 523: 67: -0.00022781 80: -0.000977243 81: -0.000977243 87: -0.000260811 463: 3.79684e-05 464: 5.42406e-06 465: 3.79684e-05 466: 5.42406e-06 523: 0.000162874 524: 3.81165e-20 525: 4.34685e-05 526: -6.20979e-06 529: 4.34685e-05 530: -6.20979e-06 664: -2.16962e-05 690: -2.48392e-05
Row 524: 67: -1.15196e-19 80: 0.000162874 81: -0.000162874 87: -1.38913e-19 463: -5.42406e-06 464: -2.71203e-06 465: 5.42406e-06 466: 2.71203e-06 523: 3.81165e-20 524: 1.74508e-05 525: -6.20979e-06 526: 3.10489e-06 529: 6.20979e-06 530: -3.10489e-06 664: -8.89385e-21 690: -1.11173e-20
Row 525: 79: -0.000274682 80: -0.00107099 81: -0.000260811 87: -0.00107099 517: 4.57804e-05 518: 6.54005e-06 521: 4.57804e-05 522: 6.54005e-06 523: 4.34685e-05 524: -6.20979e-06 525: 0.000178498 526: -2.03288e-20 529: 4.34685e-05 530: 6.20979e-06 684: -2.61602e-05 690: -2.48392e-05
Row 526: 79: 1.42302e-19 80: 0.000178498 81: -1.01644e-20 87: -0.000178498 517: -6.54005e-06 518: -3.27003e-06 521: 6.54005e-06 522: 3.27003e-06 523: -6.20979e-06 524: 3.10489e-06 525: -2.03288e-20 526: 1.91248e-05 529: 6.20979e-06 530: 3.10489e-06 684: 1.05879e-20 690: -1.27055e-21
Row 527: 68: -0.000311204 81: -0.00117314 82: -0.00117314 88: -0.000275367 467: 5.18673e-05 468: 7.40961e-06 469: 5.18673e-05 470: 7.40961e-06 527: 0.000195524 528: 4.57398e-20 531: 4.58946e-05 532: -6.55636e-06 533: 4.58946e-05 534: -6.55636e-06 674: -2.96384e-05 689: -2.62255e-05
Row 528: 68: -1.59242e-19 81: 0.000195524 82: -0.000195524 88: -1.49078e-19 467: -7.40961e-06 468: -3.70481e-06 469: 7.40961e-06 470: 3.70481e-06 527: 4.57398e-20 528: 2.0949e-05 531: -6.55636e-06 532: 3.27818e-06 533: 6.55636e-06 534: -3.27818e-06 674: -1.20702e-20 689: -1.19643e-20
Row 529: 80: -0.000260811 81: -0.00114435 87: -0.00114435 88: -0.000311362 523: 4.34685e-05 524: 6.20979e-06 525: 4.34685e-05 526: 6.20979e-06 529: 0.000190724 530: -1.86347e-20 531: 5.18936e-05 532: -7.41337e-06 551: 5.18936e-05 552: -7.41337e-06 690: -2.48392e-05 694: -2.96535e-05
Row 530: 80: 1.33831e-19 81: 0.000190724 87: -0.000190724 88: -1.35525e-20 523: -6.20979e-06 524: -3.10489e-06 525: 6.20979e-06 526: 3.10489e-06 529: -1.86347e-20 530: 2.04347e-05 531: -7.41337e-06 532: 3.70669e-06 551: 7.41337e-06 552: -3.70669e-06 690: 9.95264e-21 694: -1.27055e-21
Row 531: 81: -0.00117346 82: -0.000275367 87: -0.000311362 88: -0.00117346 527: 4.58946e-05 528: -6.55636e-06 529: 5.18936e-05 530: -7.41337e-06 531: 0.000195576 532: 2.28699e-20 533: 4.58946e-05 534: 6.55636e-06 551: 5.18936e-05 552: 7.41337e-06 689: -2.62255e-05 694: -2.96535e-05
Row 532: 81: 0.000195576 82: -6.77626e-21 87: -1.67713e-19 88: -0.000195576 527: -6.55636e-06 528: 3.27818e-06 529: -7.41337e-06 530: 3.70669e-06 531: 2.28699e-20 532: 2.09546e-05 533: 6.55636e-06 534: 3.27818e-06 551: 7.41337e-06 552: 3.70669e-06 689: -1.27055e-21 694: -1.3129e-20
Row 533: 78: -0.000274408 81: -0.000275367 82: -0.00109955 88: -0.00109955 511: 4.57346e-05 512: 6.53351e-06 515: 4.57346e-05 516: 6.53351e-06 527: 4.58946e-05 528: 6.55636e-06 531: 4.58946e-05 532: 6.55636e-06 533: 0.000183258 534: 0 687: -2.61341e-05 689: -2.62255e-05
Row 534: 78: -1.37219e-19 81: 1.40607e-19 82: 0.000183258 88: -0.000183258 511: -6.53351e-06 512: -3.26676e-06 515: 6.53351e-06 516: 3.26676e-06 527: -6.55636e-06 528: -3.27818e-06 531: 6.55636e-06 532: 3.27818e-06 533: 0 534: 1.96348e-05 687: -1.07997e-20 689: 1.10114e-20
Row 535: 74: -0.000242251 83: -0.00106408 84: -0.00106408 87: -0.00028979 497: 4.03752e-05 498: 5.76788e-06 499: 4.03752e-05 500: 5.76788e-06 535: 0.000177347 536: 3.98105e-20 539: 4.82984e-05 540: -6.89977e-06 541: 4.82984e-05 542: -6.89977e-06 680: -2.30715e-05 692: -2.75991e-05
Row 536: 74: -1.20279e-19 83: 0.000177347 84: -0.000177347 87: -1.59242e-19 497: -5.76788e-06 498: -2.88394e-06 499: 5.76788e-06 500: 2.88394e-06 535: 3.98105e-20 536: 1.90015e-05 539: -6.89977e-06 540: 3.44989e-06 541: 6.89977e-06 542: -3.44989e-06 680: -9.52912e-21 692: -1.3129e-20
Row 537: 57: -0.000313761 83: -0.00133714 86: -0.00133714 87: -0.000354811 411: 5.22935e-05 412: 7.4705e-06 413: 5.22935e-05 414: 7.4705e-06 537: 0.000222857 538: -2.37169e-20 539: 5.91352e-05 540: -8.44789e-06 547: 5.91352e-05 548: -8.44789e-06 678: -2.9882e-05 695: -3.37915e-05
Row 538: 57: 1.57548e-19 83: 0.000222857 86: -0.000222857 87: -1.01644e-20 411: -7.4705e-06 412: -3.73525e-06 413: 7.4705e-06 414: 3.73525e-06 537: -2.37169e-20 538: 2.38776e-05 539: -8.44789e-06 540: 4.22394e-06 547: 8.44789e-06 548: -4.22394e-06 678: 1.20702e-20 695: -1.27055e-21
Row 539: 83: -0.0012892 84: -0.00028979 86: -0.000354811 87: -0.0012892 535: 4.82984e-05 536: -6.89977e-06 537: 5.91352e-05 538: -8.44789e-06 539: 0.000214867 540: 2.6258e-20 541: 4.82984e-05 542: 6.89977e-06 547: 5.91352e-05 548: 8.44789e-06 692: -2.75991e-05 695: -3.37915e-05
Row 540: 83: 0.000214867 84: -3.38813e-21 86: -1.91429e-19 87: -0.000214867 535: -6.89977e-06 536: 3.44989e-06 537: -8.44789e-06 538: 4.22394e-06 539: 2.6258e-20 540: 2.30215e-05 541: 6.89977e-06 542: 3.44989e-06 547: 8.44789e-06 548: 4.22394e-06 692: -1.27055e-21 695: -1.48231e-20
Row 541: 79: -0.000271116 83: -0.00028979 84: -0.00112181 87: -0.00112181 519: 4.51859e-05 520: 6.45513e-06 521: 4.51859e-05 522: 6.45513e-06 535: 4.82984e-05 536: 6.89977e-06 539: 4.82984e-05 540: 6.89977e-06 541: 0.000186969 542: -1.69407e-21 685: -2.58205e-05 692: -2.75991e-05
Row 542: 79: -1.38913e-19 83: 1.47384e-19 84: 0.000186969 87: -0.000186969 519: -6.45513e-06 520: -3.22757e-06 521: 6.45513e-06 522: 3.22757e-06 535: -6.89977e-06 536: -3.44989e-06 539: 6.89977e-06 540: 3.44989e-06 541: -1.69407e-21 542: 2.00324e-05 685: -1.07997e-20 692: 1.18585e-20
Row 543: 76: -0.000272806 85: -0.00112101 86: -0.00112101 88: -0.000287697 503: 4.54676e-05 504: 6.49537e-06 505: 4.54676e-05 506: 6.49537e-06 543: 0.000186834 544: 4.57398e-20 545: 4.79495e-05 546: -6.84993e-06 549: 4.79495e-05 550: -6.84993e-06 691: -2.59815e-05 693: -2.73997e-05
Row 544: 76: -1.40607e-19 85: 0.000186834 86: -0.000186834 88: -1.5416e-19 503: -6.49537e-06 504: -3.24769e-06 505: 6.49537e-06 506: 3.24769e-06 543: 4.57398e-20 544: 2.0018e-05 545: -6.84993e-06 546: 3.42497e-06 549: 6.84993e-06 550: -3.42497e-06 691: -1.10114e-20 693: -1.2282e-20
Row 545: 78: -0.000268112 85: -0.00111162 86: -0.000287697 88: -0.00111162 513: 4.46854e-05 514: 6.38363e-06 515: 4.46854e-05 516: 6.38363e-06 543: 4.79495e-05 544: -6.84993e-06 545: 0.00018527 546: -2.20229e-20 549: 4.79495e-05 550: 6.84993e-06 688: -2.55345e-05 693: -2.73997e-05
Row 546: 78: 1.38913e-19 85: 0.00018527 86: -6.77626e-21 88: -0.00018527 513: -6.38363e-06 514: -3.19181e-06 515: 6.38363e-06 516: 3.19181e-06 543: -6.84993e-06 544: 3.42497e-06 545: -2.20229e-20 546: 1.98503e-05 549: 6.84993e-06 550: 3.42497e-06 688: 1.05879e-20 693: -1.27055e-21
Row 547: 83: -0.000354811 86: -0.00136046 87: -0.00136046 88: -0.000325419 537: 5.91352e-05 538: 8.44789e-06 539: 5.91352e-05 540: 8.44789e-06 547: 0.000226743 548: 4.99749e-20 549: 5.42365e-05 550: -7.74808e-06 551: 5.42365e-05 552: -7.74808e-06 695: -3.37915e-05 696: -3.09923e-05
Row 548: 83: -1.77877e-19 86: 0.000226743 87: -0.000226743 88: -1.77877e-19 537: -8.44789e-06 538: -4.22394e-06 539: 8.44789e-06 540: 4.22394e-06 547: 4.99749e-20 548: 2.42939e-05 549: -7.74808e-06 550: 3.87404e-06 551: 7.74808e-06 552: -3.87404e-06 695: -1.43996e-20 696: -1.3976e-20
Row 549: 85: -0.000287697 86: -0.00122623 87: -0.000325419 88: -0.00122623 543: 4.79495e-05 544: 6.84993e-06 545: 4.79495e-05 546: 6.84993e-06 547: 5.42365e-05 548: -7.74808e-06 549: 0.000204372 550: -2.20229e-20 551: 5.42365e-05 552: 7.74808e-06 693: -2.73997e-05 696: -3.09923e-05
Row 550: 85: 1.4569e-19 86: 0.000204372 87: 0 88: -0.000204372 543: -6.84993e-06 544: -3.42497e-06 545: 6.84993e-06 546: 3.42497e-06 547: -7.74808e-06 548: 3.87404e-06 549: -2.20229e-20 550: 2.1897e-05 551: 7.74808e-06 552: 3.87404e-06 693: 1.12232e-20 696: -1.69407e-21
Row 551: 81: -0.000311362 86: -0.000325419 87: -0.00127356 88: -0.00127356 529: 5.18936e-05 530: 7.41337e-06 531: 5.18936e-05 532: 7.41337e-06 547: 5.42365e-05 548: 7.74808e-06 549: 5.42365e-05 550: 7.74808e-06 551: 0.00021226 552: 0 694: -2.96535e-05 696: -3.09923e-05
Row 552: 81: -1.59242e-19 86: 1.6263e-19 87: 0.00021226 88: -0.00021226 529: -7.41337e-06 530: -3.70669e-06 531: 7.41337e-06 532: 3.70669e-06 547: -7.74808e-06 548: -3.87404e-06 549: 7.74808e-06 550: 3.87404e-06 551: 0 552: 2.27422e-05 694: -1.16467e-20 696: 1.29173e-20
Row 553: 0: 0.000173611 4: 0.000173611 31: 0.000173611 89: -2.48016e-05 90: -1.27055e-21 91: -2.48016e-05 92: -1.09055e-20 111: -2.48016e-05 112: -1.01644e-20 553: 1.24008e-05
Row 554: 4: 0.000177466 5: 0.000177466 32: 0.000177466 109: -2.53522e-05 110: -1.27055e-21 113: -2.53522e-05 114: -1.15408e-20 117: -2.53522e-05 118: -1.05879e-20 554: 1.26761e-05
Row 555: 5: 0.000171977 6: 0.000171977 33: 0.000171977 115: -2.45682e-05 116: -1.27055e-21 119: -2.45682e-05 120: -1.12232e-20 123: -2.45682e-05 124: -9.95264e-21 555: 1.22841e-05
Row 556: 5: 0.000191998 32: 0.000191998 33: 0.000191998 117: -2.74283e-05 118: -1.27055e-20 119: -2.74283e-05 120: -1.27055e-21 267: -2.74283e-05 268: 1.10114e-20 556: 1.37141e-05
Row 557: 6: 0.000166987 7: 0.000166987 34: 0.000166987 121: -2.38553e-05 122: -8.47033e-22 125: -2.38553e-05 126: -1.06938e-20 129: -2.38553e-05 130: -9.635e-21 557: 1.19277e-05
Row 558: 6: 0.000172273 33: 0.000172273 34: 0.000172273 123: -2.46105e-05 124: -1.12232e-20 125: -2.46105e-05 126: -1.27055e-21 273: -2.46105e-05 274: 1.00585e-20 558: 1.23052e-05
Row 559: 7: 0.000154411 8: 0.000154411 35: 0.000154411 127: -2.20588e-05 128: -1.05879e-21 131: -2.20588e-05 132: -9.95264e-21 135: -2.20588e-05 136: -8.68209e-21 559: 1.10294e-05
Row 560: 7: 0.000156498 34: 0.000156498 35: 0.000156498 129: -2.23569e-05 130: -1.01644e-20 131: -2.23569e-05 132: -1.27055e-21 279: -2.23569e-05 280: 9.52912e-21 560: 1.11784e-05
Row 561: 8: 0.00013519 9: 0.00013519 36: 0.00013519 133: -1.93129e-05 134: -1.05879e-21 137: -1.93129e-05 138: -8.57621e-21 141: -1.93129e-05 142: -7.6233e-21 561: 9.65645e-06
Row 562: 8: 0.000132181 35: 0.000132181 36: 0.000132181 135: -1.8883e-05 136: -8.47033e-21 137: -1.8883e-05 138: -1.05879e-21 285: -1.8883e-05 286: 7.41154e-21 562: 9.44148e-06
Row 563: 9: 0.000132168 10: 0.000132168 37: 0.000132168 139: -1.88811e-05 140: -8.47033e-22 143: -1.88811e-05 144: -8.68209e-21 145: -1.88811e-05 146: -8.25857e-21 563: 9.44057e-06
Row 564: 9: 0.000122664 36: 0.000122664 37: 0.000122664 141: -1.75234e-05 142: -7.94093e-21 143: -1.75234e-05 144: -8.47033e-22 291: -1.75234e-05 292: 7.19978e-21 564: 8.76169e-06
Row 565: 1: 0.000146454 10: 0.000146454 38: 0.000146454 93: -2.0922e-05 94: -9.42324e-21 97: -2.0922e-05 98: -1.05879e-21 147: -2.0922e-05 148: 8.68209e-21 565: 1.0461e-05
Row 566: 10: 0.00012418 37: 0.00012418 38: 0.00012418 145: -1.774e-05 146: -7.94093e-21 147: -1.774e-05 148: -1.05879e-21 297: -1.774e-05 298: 6.98802e-21 566: 8.87001e-06
Row 567: 1: 0.000141857 11: 0.000141857 38: 0.000141857 95: -2.02653e-05 96: -8.47033e-22 97: -2.02653e-05 98: -8.99973e-21 151: -2.02653e-05 152: -8.47033e-21 567: 1.01327e-05
Row 568: 11: 0.000123655 12: 0.000123655 39: 0.000123655 149: -1.7665e-05 150: -1.05879e-21 153: -1.7665e-05 154: -7.83505e-21 157: -1.7665e-05 158: -7.41154e-21 568: 8.83249e-06
Row 569: 11: 0.000124239 38: 0.000124239 39: 0.000124239 151: -1.77484e-05 152: -8.04681e-21 153: -1.77484e-05 154: -1.05879e-21 303: -1.77484e-05 304: 7.19978e-21 569: 8.87418e-06
Row 570: 12: 0.000124065 13: 0.000124065 40: 0.000124065 155: -1.77236e-05 156: -8.47033e-22 159: -1.77236e-05 160: -8.15269e-21 163: -1.77236e-05 164: -6.88214e-21 570: 8.86182e-06
Row 571: 12: 0.000115531 39: 0.000115531 40: 0.000115531 157: -1.65045e-05 158: -7.41154e-21 159: -1.65045e-05 160: -6.35275e-22 307: -1.65045e-05 308: 6.77626e-21 571: 8.25223e-06
Row 572: 13: 0.0001405 14: 0.0001405 41: 0.0001405 161: -2.00715e-05 162: -1.05879e-21 165: -2.00715e-05 166: -8.99973e-21 169: -2.00715e-05 170: -7.83505e-21 572: 1.00357e-05
Row 573: 13: 0.000122878 40: 0.000122878 41: 0.000122878 163: -1.7554e-05 164: -7.94093e-21 165: -1.7554e-05 166: -6.35275e-22 313: -1.7554e-05 314: 7.51742e-21 573: 8.77702e-06
Row 574: 14: 0.000151267 15: 0.000151267 42: 0.000151267 167: -2.16095e-05 168: -8.47033e-22 171: -2.16095e-05 172: -9.84676e-21 175: -2.16095e-05 176: -9.21148e-21 574: 1.08048e-05
Row 575: 14: 0.000142603 41: 0.000142603 42: 0.000142603 169: -2.03718e-05 170: -9.1056e-21 171: -2.03718e-05 172: -8.47033e-22 319: -2.03718e-05 320: 8.47033e-21 575: 1.01859e-05
Row 576: 15: 0.000153425 16: 0.000153425 43: 0.000153425 173: -2.19178e-05 174: -1.27055e-21 177: -2.19178e-05 178: -9.635e-21 181: -2.19178e-05 182: -8.57621e-21 576: 1.09589e-05
Row 577: 15: 0.000155294 42: 0.000155294 43: 0.000155294 175: -2.21848e-05 176: -1.00585e-20 177: -2.21848e-05 178: -1.27055e-21 325: -2.21848e-05 326: 9.1056e-21 577: 1.10924e-05
Row 578: 16: 0.000145807 17: 0.000145807 44: 0.000145807 179: -2.08296e-05 180: -1.05879e-21 183: -2.08296e-05 184: -9.31736e-21 187: -2.08296e-05 188: -8.57621e-21 578: 1.04148e-05
Row 579: 16: 0.000155964 43: 0.000155964 44: 0.000155964 181: -2.22806e-05 182: -1.02703e-20 183: -2.22806e-05 184: -1.48231e-21 331: -2.22806e-05 332: 9.52912e-21 579: 1.11403e-05
Row 580: 2: 0.000173611 17: 0.000173611 18: 0.000173611 99: -2.48016e-05 100: -1.10114e-20 101: -2.48016e-05 102: -1.27055e-21 185: -2.48016e-05 186: 1.05879e-20 580: 1.24008e-05
Row 581: 18: 0.00013959 19: 0.00013959 45: 0.00013959 189: -1.99415e-05 190: -1.27055e-21 193: -1.99415e-05 194: -8.99973e-21 197: -1.99415e-05 198: -8.04681e-21 581: 9.97075e-06
Row 582: 19: 0.000164501 20: 0.000164501 46: 0.000164501 195: -2.35001e-05 196: -1.27055e-21 199: -2.35001e-05 200: -1.06938e-20 203: -2.35001e-05 204: -9.52912e-21 582: 1.17501e-05
Row 583: 19: 0.000131955 45: 0.000131955 46: 0.000131955 197: -1.88508e-05 198: -8.36445e-21 199: -1.88508e-05 200: -8.47033e-22 341: -1.88508e-05 342: 7.83505e-21 583: 9.42538e-06
Row 584: 20: 0.000169289 21: 0.000169289 47: 0.000169289 201: -2.41841e-05 202: -1.05879e-21 205: -2.41841e-05 206: -1.07997e-20 209: -2.41841e-05 210: -9.52912e-21 584: 1.20921e-05
Row 585: 20: 0.00016177 46: 0.00016177 47: 0.00016177 203: -2.311e-05 204: -1.05879e-20 205: -2.311e-05 206: -1.27055e-21 345: -2.311e-05 346: 9.31736e-21 585: 1.1555e-05
Row 586: 21: 0.000158583 22: 0.000158583 48: 0.000158583 207: -2.26548e-05 208: -1.27055e-21 211: -2.26548e-05 212: -1.01644e-20 215: -2.26548e-05 216: -9.21148e-21 586: 1.13274e-05
Row 587: 21: 0.000162283 47: 0.000162283 48: 0.000162283 209: -2.31833e-05 210: -1.03762e-20 211: -2.31833e-05 212: -8.47033e-22 351: -2.31833e-05 352: 9.52912e-21 587: 1.15917e-05
Row 588: 22: 0.000146755 23: 0.000146755 49: 0.000146755 213: -2.0965e-05 214: -8.47033e-22 217: -2.0965e-05 218: -9.635e-21 221: -2.0965e-05 222: -8.47033e-21 588: 1.04825e-05
Row 589: 22: 0.00014544 48: 0.00014544 49: 0.00014544 215: -2.07771e-05 216: -9.635e-21 217: -2.07771e-05 218: -1.27055e-21 357: -2.07771e-05 358: 8.68209e-21 589: 1.03886e-05
Row 590: 23: 0.000132904 24: 0.000132904 50: 0.000132904 219: -1.89862e-05 220: -6.35275e-22 223: -1.89862e-05 224: -8.68209e-21 225: -1.89862e-05 226: -7.51742e-21 590: 9.49312e-06
Row 591: 23: 0.000125972 49: 0.000125972 50: 0.000125972 221: -1.79959e-05 222: -8.15269e-21 223: -1.79959e-05 224: -6.35275e-22 363: -1.79959e-05 364: 7.41154e-21 591: 8.99797e-06
Row 592: 3: 0.000141347 24: 0.000141347 51: 0.000141347 103: -2.01924e-05 104: -9.21148e-21 107: -2.01924e-05 108: -8.47033e-22 227: -2.01924e-05 228: 8.47033e-21 592: 1.00962e-05
Row 593: 24: 0.000125208 50: 0.000125208 51: 0.000125208 225: -1.78868e-05 226: -8.25857e-21 227: -1.78868e-05 228: -8.47033e-22 369: -1.78868e-05 370: 7.6233e-21 593: 8.94341e-06
Row 594: 3: 0.000137992 25: 0.000137992 51: 0.000137992 105: -1.97132e-05 106: -8.47033e-22 107: -1.97132e-05 108: -8.99973e-21 231: -1.97132e-05 232: -8.25857e-21 594: 9.85658e-06
Row 595: 25: 0.000125563 26: 0.000125563 52: 0.000125563 229: -1.79375e-05 230: -8.47033e-22 233: -1.79375e-05 234: -8.15269e-21 237: -1.79375e-05 238: -7.19978e-21 595: 8.96877e-06
Row 596: 25: 0.000124395 51: 0.000124395 52: 0.000124395 231: -1.77707e-05 232: -8.15269e-21 233: -1.77707e-05 234: -1.05879e-21 375: -1.77707e-05 376: 7.30566e-21 596: 8.88534e-06
Row 597: 26: 0.000135841 27: 0.000135841 53: 0.000135841 235: -1.94059e-05 236: -1.05879e-21 239: -1.94059e-05 240: -8.57621e-21 243: -1.94059e-05 244: -7.94093e-21 597: 9.70294e-06
Row 598: 26: 0.000120057 52: 0.000120057 53: 0.000120057 237: -1.7151e-05 238: -7.6233e-21 239: -1.7151e-05 240: -8.47033e-22 379: -1.7151e-05 380: 6.98802e-21 598: 8.57548e-06
Row 599: 27: 0.000141069 28: 0.000141069 54: 0.000141069 241: -2.01527e-05 242: -1.05879e-21 245: -2.01527e-05 246: -9.31736e-21 249: -2.01527e-05 250: -8.04681e-21 599: 1.00763e-05
Row 600: 27: 0.000134434 53: 0.000134434 54: 0.000134434 243: -1.92048e-05 244: -8.78797e-21 245: -1.92048e-05 246: -1.27055e-21 385: -1.92048e-05 386: 8.04681e-21 600: 9.60242e-06
Row 601: 28: 0.000141009 29: 0.000141009 55: 0.000141009 247: -2.01441e-05 248: -6.35275e-22 251: -2.01441e-05 252: -8.99973e-21 255: -2.01441e-05 256: -8.47033e-21 601: 1.0072e-05
Row 602: 28: 0.00014252 54: 0.00014252 55: 0.00014252 249: -2.036e-05 250: -9.42324e-21 251: -2.036e-05 252: -1.05879e-21 391: -2.036e-05 392: 8.57621e-21 602: 1.018e-05
Row 603: 29: 0.000155684 30: 0.000155684 56: 0.000155684 253: -2.22405e-05 254: -1.27055e-21 257: -2.22405e-05 258: -9.74088e-21 261: -2.22405e-05 262: -8.99973e-21 603: 1.11203e-05
Row 604: 29: 0.000178104 55: 0.000178104 56: 0.000178104 255: -2.54434e-05 256: -1.18585e-20 257: -2.54434e-05 258: -1.27055e-21 397: -2.54434e-05 398: 1.07997e-20 604: 1.27217e-05
Row 605: 30: 0.000155684 31: 0.000155684 56: 0.000155684 259: -2.22405e-05 260: -1.27055e-21 261: -2.22405e-05 262: -9.74088e-21 265: -2.22405e-05 266: -8.99973e-21 605: 1.11203e-05
Row 606: 4: 0.000243852 31: 0.000243852 32: 0.000243852 111: -3.4836e-05 112: -1.58819e-20 113: -3.4836e-05 114: -1.69407e-21 263: -3.4836e-05 264: 1.43996e-20 606: 1.7418e-05
Row 607: 17: 0.000204504 18: 0.000204504 44: 0.000204504 185: -2.92149e-05 186: -1.69407e-21 187: -2.92149e-05 188: -1.27055e-20 191: -2.92149e-05 192: -1.16467e-20 607: 1.46074e-05
Row 608: 18: 0.000160889 44: 0.000160889 45: 0.000160889 191: -2.29842e-05 192: -1.0482e-20 193: -2.29842e-05 194: -1.27055e-21 337: -2.29842e-05 338: 9.31736e-21 608: 1.14921e-05
Row 609: 31: 0.000265127 32: 0.000265127 56: 0.000265127 263: -3.78753e-05 264: -1.69407e-21 265: -3.78753e-05 266: -1.67289e-20 269: -3.78753e-05 270: -1.56701e-20 609: 1.89376e-05
Row 610: 33: 0.000178889 34: 0.000178889 57: 0.000178889 273: -2.55556e-05 274: -8.47033e-22 275: -2.55556e-05 276: -1.13291e-20 281: -2.55556e-05 282: -1.07997e-20 610: 1.27778e-05
Row 611: 32: 0.000185309 33: 0.000185309 58: 0.000185309 267: -2.64727e-05 268: -1.27055e-21 271: -2.64727e-05 272: -1.15408e-20 277: -2.64727e-05 278: -1.07997e-20 611: 1.32364e-05
Row 612: 33: 0.000178788 57: 0.000178788 58: 0.000178788 275: -2.55411e-05 276: -1.27055e-21 277: -2.55411e-05 278: -1.13291e-20 407: -2.55411e-05 408: -1.03762e-20 612: 1.27706e-05
Row 613: 35: 0.000142474 36: 0.000142474 59: 0.000142474 285: -2.03534e-05 286: -1.05879e-21 287: -2.03534e-05 288: -9.31736e-21 293: -2.03534e-05 294: -8.36445e-21 613: 1.01767e-05
Row 614: 36: 0.000110658 37: 0.000110658 60: 0.000110658 291: -1.58083e-05 292: -8.47033e-22 295: -1.58083e-05 296: -6.98802e-21 299: -1.58083e-05 300: -6.35275e-21 614: 7.90417e-06
Row 615: 36: 0.000110318 59: 0.000110318 60: 0.000110318 293: -1.57597e-05 294: -7.30566e-21 295: -1.57597e-05 296: -1.05879e-21 419: -1.57597e-05 420: 6.56451e-21 615: 7.87987e-06
Row 616: 37: 0.000121127 38: 0.000121127 61: 0.000121127 297: -1.73039e-05 298: -8.47033e-22 301: -1.73039e-05 302: -8.15269e-21 305: -1.73039e-05 306: -7.0939e-21 616: 8.65194e-06
Row 617: 37: 0.000100541 60: 0.000100541 61: 0.000100541 299: -1.4363e-05 300: -6.56451e-21 301: -1.4363e-05 302: -8.47033e-22 427: -1.4363e-05 428: 6.14099e-21 617: 7.18149e-06
Row 618: 38: 0.000116856 39: 0.000116856 61: 0.000116856 303: -1.66938e-05 304: -6.35275e-22 305: -1.66938e-05 306: -7.51742e-21 309: -1.66938e-05 310: -6.98802e-21 618: 8.34688e-06
Row 619: 40: 0.00013311 41: 0.00013311 62: 0.00013311 313: -1.90157e-05 314: -8.47033e-22 315: -1.90157e-05 316: -8.47033e-21 321: -1.90157e-05 322: -7.6233e-21 619: 9.50785e-06
Row 620: 39: 0.000104461 40: 0.000104461 63: 0.000104461 307: -1.4923e-05 308: -8.47033e-22 311: -1.4923e-05 312: -6.56451e-21 317: -1.4923e-05 318: -6.14099e-21 620: 7.4615e-06
Row 621: 39: 9.65601e-05 61: 9.65601e-05 63: 9.65601e-05 309: -1.37943e-05 310: -6.35275e-21 311: -1.37943e-05 312: -6.35275e-22 431: -1.37943e-05 432: 5.61159e-21 621: 6.89715e-06
Row 622: 40: 0.000105294 62: 0.000105294 63: 0.000105294 315: -1.50421e-05 316: -8.47033e-22 317: -1.50421e-05 318: -6.88214e-21 435: -1.50421e-05 436: -6.24687e-21 622: 7.52103e-06
Row 623: 41: 0.000148934 42: 0.000148934 64: 0.000148934 319: -2.12762e-05 320: -1.05879e-21 323: -2.12762e-05 324: -9.635e-21 327: -2.12762e-05 328: -8.57621e-21 623: 1.06381e-05
Row 624: 41: 0.000140092 62: 0.000140092 64: 0.000140092 321: -2.00131e-05 322: -8.89385e-21 323: -2.00131e-05 324: -1.05879e-21 437: -2.00131e-05 438: 7.94093e-21 624: 1.00066e-05
Row 625: 42: 0.000162584 43: 0.000162584 65: 0.000162584 325: -2.32263e-05 326: -1.05879e-21 329: -2.32263e-05 330: -1.01644e-20 333: -2.32263e-05 334: -9.74088e-21 625: 1.16131e-05
Row 626: 42: 0.00016254 64: 0.00016254 65: 0.00016254 327: -2.32199e-05 328: -1.0482e-20 329: -2.32199e-05 330: -1.05879e-21 445: -2.32199e-05 446: 9.74088e-21 626: 1.161e-05
Row 627: 43: 0.000161537 44: 0.000161537 66: 0.000161537 331: -2.30768e-05 332: -1.05879e-21 335: -2.30768e-05 336: -1.03762e-20 339: -2.30768e-05 340: -9.74088e-21 627: 1.15384e-05
Row 628: 43: 0.000162621 65: 0.000162621 66: 0.000162621 333: -2.32315e-05 334: -1.06938e-20 335: -2.32315e-05 336: -1.27055e-21 451: -2.32315e-05 452: 9.42324e-21 628: 1.16158e-05
Row 629: 44: 0.000139275 45: 0.000139275 66: 0.000139275 337: -1.98964e-05 338: -6.35275e-22 339: -1.98964e-05 340: -8.68209e-21 343: -1.98964e-05 344: -8.04681e-21 629: 9.94819e-06
Row 630: 47: 0.000163438 48: 0.000163438 67: 0.000163438 351: -2.33483e-05 352: -1.27055e-21 353: -2.33483e-05 354: -1.0482e-20 359: -2.33483e-05 360: -9.84676e-21 630: 1.16741e-05
Row 631: 46: 0.000193011 47: 0.000193011 68: 0.000193011 345: -2.7573e-05 346: -8.47033e-22 349: -2.7573e-05 350: -1.2282e-20 355: -2.7573e-05 356: -1.12232e-20 631: 1.37865e-05
Row 632: 47: 0.000194453 67: 0.000194453 68: 0.000194453 353: -2.7779e-05 354: -8.47033e-22 355: -2.7779e-05 356: -1.21761e-20 459: -2.7779e-05 460: -1.14349e-20 632: 1.38895e-05
Row 633: 45: 0.000139669 46: 0.000139669 66: 0.000139669 341: -1.99528e-05 342: -8.47033e-22 343: -1.99528e-05 344: -8.99973e-21 347: -1.99528e-05 348: -8.15269e-21 633: 9.97639e-06
Row 634: 48: 0.000149945 49: 0.000149945 69: 0.000149945 357: -2.14207e-05 358: -6.35275e-22 361: -2.14207e-05 362: -9.31736e-21 365: -2.14207e-05 366: -8.99973e-21 634: 1.07104e-05
Row 635: 48: 0.000159342 67: 0.000159342 69: 0.000159342 359: -2.27631e-05 360: -1.05879e-20 361: -2.27631e-05 362: -1.05879e-21 461: -2.27631e-05 462: 9.52912e-21 635: 1.13815e-05
Row 636: 49: 0.000135334 50: 0.000135334 70: 0.000135334 363: -1.93334e-05 364: -1.05879e-21 367: -1.93334e-05 368: -8.68209e-21 371: -1.93334e-05 372: -7.6233e-21 636: 9.66672e-06
Row 637: 49: 0.000135847 69: 0.000135847 70: 0.000135847 365: -1.94067e-05 366: -8.99973e-21 367: -1.94067e-05 368: -1.05879e-21 471: -1.94067e-05 472: 8.04681e-21 637: 9.70336e-06
Row 638: 50: 0.000105991 51: 0.000105991 71: 0.000105991 369: -1.51416e-05 370: -8.47033e-22 373: -1.51416e-05 374: -6.88214e-21 377: -1.51416e-05 378: -6.14099e-21 638: 7.57081e-06
Row 639: 50: 0.00010586 70: 0.00010586 71: 0.00010586 371: -1.51229e-05 372: -6.77626e-21 373: -1.51229e-05 374: -6.35275e-22 477: -1.51229e-05 478: 6.14099e-21 639: 7.56145e-06
Row 640: 51: 0.000103545 52: 0.000103545 71: 0.000103545 375: -1.47921e-05 376: -6.35275e-22 377: -1.47921e-05 378: -6.77626e-21 381: -1.47921e-05 382: -5.82335e-21 640: 7.39604e-06
Row 641: 53: 0.000140191 54: 0.000140191 72: 0.000140191 385: -2.00272e-05 386: -1.27055e-21 387: -2.00272e-05 388: -8.99973e-21 393: -2.00272e-05 394: -8.04681e-21 641: 1.00136e-05
Row 642: 52: 0.000128963 53: 0.000128963 73: 0.000128963 379: -1.84233e-05 380: -1.05879e-21 383: -1.84233e-05 384: -8.36445e-21 389: -1.84233e-05 390: -8.04681e-21 642: 9.21167e-06
Row 643: 52: 0.000103225 71: 0.000103225 73: 0.000103225 381: -1.47464e-05 382: -6.88214e-21 383: -1.47464e-05 384: -4.23516e-22 483: -1.47464e-05 484: 6.35275e-21 643: 7.37319e-06
Row 644: 53: 0.000132315 72: 0.000132315 73: 0.000132315 387: -1.89021e-05 388: -8.47033e-22 389: -1.89021e-05 390: -8.47033e-21 485: -1.89021e-05 486: -7.83505e-21 644: 9.45106e-06
Row 645: 54: 0.000145355 55: 0.000145355 74: 0.000145355 391: -2.0765e-05 392: -1.05879e-21 395: -2.0765e-05 396: -9.52912e-21 399: -2.0765e-05 400: -8.68209e-21 645: 1.03825e-05
Row 646: 54: 0.00014203 72: 0.00014203 74: 0.00014203 393: -2.029e-05 394: -9.21148e-21 395: -2.029e-05 396: -8.47033e-22 487: -2.029e-05 488: 8.47033e-21 646: 1.0145e-05
Row 647: 55: 0.000160641 56: 0.000160641 75: 0.000160641 397: -2.29487e-05 398: -1.27055e-21 401: -2.29487e-05 402: -1.01644e-20 405: -2.29487e-05 406: -9.74088e-21 647: 1.14744e-05
Row 648: 55: 0.000131881 74: 0.000131881 75: 0.000131881 399: -1.88401e-05 400: -8.78797e-21 401: -1.88401e-05 402: -1.27055e-21 495: -1.88401e-05 496: 7.83505e-21 648: 9.42004e-06
Row 649: 34: 0.000164009 35: 0.000164009 76: 0.000164009 279: -2.34299e-05 280: -1.05879e-21 283: -2.34299e-05 284: -1.05879e-20 289: -2.34299e-05 290: -9.42324e-21 649: 1.17149e-05
Row 650: 34: 0.00017207 57: 0.00017207 76: 0.00017207 281: -2.45815e-05 282: -1.10114e-20 283: -2.45815e-05 284: -8.47033e-22 409: -2.45815e-05 410: 1.01644e-20 650: 1.22907e-05
Row 651: 35: 0.000150566 59: 0.000150566 76: 0.000150566 287: -2.15095e-05 288: -1.05879e-21 289: -2.15095e-05 290: -9.74088e-21 421: -2.15095e-05 422: -8.89385e-21 651: 1.07547e-05
Row 652: 46: 0.000190989 66: 0.000190989 68: 0.000190989 347: -2.72842e-05 348: -1.2282e-20 349: -2.72842e-05 350: -1.27055e-21 457: -2.72842e-05 458: 1.07997e-20 652: 1.36421e-05
Row 653: 56: 0.000155801 58: 0.000155801 75: 0.000155801 403: -2.22572e-05 404: -1.27055e-21 405: -2.22572e-05 406: -9.95264e-21 415: -2.22572e-05 416: -8.99973e-21 653: 1.11286e-05
Row 654: 32: 0.000200657 56: 0.000200657 58: 0.000200657 269: -2.86653e-05 270: -1.29173e-20 271: -2.86653e-05 272: -1.27055e-21 403: -2.86653e-05 404: 1.18585e-20 654: 1.43326e-05
Row 655: 60: 0.000117061 61: 0.000117061 77: 0.000117061 427: -1.6723e-05 428: -8.47033e-22 429: -1.6723e-05 430: -7.41154e-21 433: -1.6723e-05 434: -6.77626e-21 655: 8.3615e-06
Row 656: 61: 0.00011456 63: 0.00011456 77: 0.00011456 431: -1.63657e-05 432: -4.23516e-22 433: -1.63657e-05 434: -7.19978e-21 443: -1.63657e-05 444: -6.98802e-21 656: 8.18286e-06
Row 657: 59: 0.000124011 60: 0.000124011 77: 0.000124011 419: -1.77158e-05 420: -1.05879e-21 423: -1.77158e-05 424: -8.04681e-21 429: -1.77158e-05 430: -7.41154e-21 657: 8.85792e-06
Row 658: 65: 0.000188852 66: 0.000188852 68: 0.000188852 451: -2.69788e-05 452: -8.47033e-22 453: -2.69788e-05 454: -1.15408e-20 457: -2.69788e-05 458: -1.10114e-20 658: 1.34894e-05
Row 659: 62: 0.000150262 64: 0.000150262 78: 0.000150262 437: -2.1466e-05 438: -8.47033e-22 441: -2.1466e-05 442: -9.95264e-21 447: -2.1466e-05 448: -8.89385e-21 659: 1.0733e-05
Row 660: 69: 0.000159838 70: 0.000159838 79: 0.000159838 471: -2.28339e-05 472: -8.47033e-22 473: -2.28339e-05 474: -1.02703e-20 481: -2.28339e-05 482: -9.31736e-21 660: 1.1417e-05
Row 661: 67: 0.000143143 69: 0.000143143 80: 0.000143143 461: -2.04489e-05 462: -8.47033e-22 463: -2.04489e-05 464: -9.1056e-21 475: -2.04489e-05 476: -8.25857e-21 661: 1.02245e-05
Row 662: 69: 0.00015064 79: 0.00015064 80: 0.00015064 473: -2.15201e-05 474: -1.05879e-21 475: -2.15201e-05 476: -9.74088e-21 517: -2.15201e-05 518: -9.1056e-21 662: 1.076e-05
Row 663: 67: 0.000202633 68: 0.000202633 81: 0.000202633 459: -2.89475e-05 460: -1.33408e-20 465: -2.89475e-05 466: -1.27055e-21 467: -2.89475e-05 468: 1.20702e-20 663: 1.44738e-05
Row 664: 67: 0.000151874 80: 0.000151874 81: 0.000151874 463: -2.16962e-05 464: -8.47033e-22 465: -2.16962e-05 466: -9.74088e-21 523: -2.16962e-05 524: -8.89385e-21 664: 1.08481e-05
Row 665: 64: 0.000170126 65: 0.000170126 82: 0.000170126 445: -2.43037e-05 446: -1.27055e-21 449: -2.43037e-05 450: -1.10114e-20 455: -2.43037e-05 456: -1.00585e-20 665: 1.21518e-05
Row 666: 64: 0.00017185 78: 0.00017185 82: 0.00017185 447: -2.45499e-05 448: -1.10114e-20 449: -2.45499e-05 450: -1.27055e-21 511: -2.45499e-05 512: 1.01644e-20 666: 1.2275e-05
Row 667: 65: 0.000210896 68: 0.000210896 82: 0.000210896 453: -3.0128e-05 454: -1.69407e-21 455: -3.0128e-05 456: -1.35525e-20 469: -3.0128e-05 470: -1.2282e-20 667: 1.5064e-05
Row 668: 58: 0.000167993 75: 0.000167993 83: 0.000167993 415: -2.3999e-05 416: -1.11173e-20 417: -2.3999e-05 418: -1.27055e-21 501: -2.3999e-05 502: 9.95264e-21 668: 1.19995e-05
Row 669: 57: 0.000206676 58: 0.000206676 83: 0.000206676 407: -2.95251e-05 408: -1.33408e-20 411: -2.95251e-05 412: -1.27055e-21 417: -2.95251e-05 418: 1.20702e-20 669: 1.47625e-05
Row 670: 70: 0.000107429 71: 0.000107429 73: 0.000107429 477: -1.53471e-05 478: -4.23516e-22 479: -1.53471e-05 480: -6.67038e-21 483: -1.53471e-05 484: -6.24687e-21 670: 7.67353e-06
Row 671: 74: 0.000158542 75: 0.000158542 83: 0.000158542 495: -2.26489e-05 496: -1.05879e-21 497: -2.26489e-05 498: -1.02703e-20 501: -2.26489e-05 502: -8.89385e-21 671: 1.13244e-05
Row 672: 72: 0.000133129 74: 0.000133129 84: 0.000133129 487: -1.90184e-05 488: -8.47033e-22 491: -1.90184e-05 492: -8.68209e-21 499: -1.90184e-05 500: -7.83505e-21 672: 9.50922e-06
Row 673: 70: 0.000154517 73: 0.000154517 79: 0.000154517 479: -2.20739e-05 480: -8.47033e-22 481: -2.20739e-05 482: -9.95264e-21 493: -2.20739e-05 494: -9.1056e-21 673: 1.10369e-05
Row 674: 68: 0.000207469 81: 0.000207469 82: 0.000207469 467: -2.96384e-05 468: -1.27055e-21 469: -2.96384e-05 470: -1.3129e-20 527: -2.96384e-05 528: -1.20702e-20 674: 1.48192e-05
Row 675: 62: 0.000124146 63: 0.000124146 77: 0.000124146 435: -1.77351e-05 436: -8.04681e-21 439: -1.77351e-05 440: -8.47033e-22 443: -1.77351e-05 444: 7.19978e-21 675: 8.86754e-06
Row 676: 59: 0.000164012 77: 0.000164012 85: 0.000164012 423: -2.34303e-05 424: -1.05879e-21 425: -2.34303e-05 426: -1.05879e-20 509: -2.34303e-05 510: -9.74088e-21 676: 1.17152e-05
Row 677: 62: 0.000163874 77: 0.000163874 78: 0.000163874 439: -2.34106e-05 440: -1.0482e-20 441: -2.34106e-05 442: -1.27055e-21 507: -2.34106e-05 508: 9.1056e-21 677: 1.17053e-05
Row 678: 57: 0.000209174 83: 0.000209174 86: 0.000209174 411: -2.9882e-05 412: -1.3129e-20 413: -2.9882e-05 414: -1.69407e-21 537: -2.9882e-05 538: 1.20702e-20 678: 1.4941e-05
Row 679: 57: 0.000185602 76: 0.000185602 86: 0.000185602 409: -2.65146e-05 410: -8.47033e-22 413: -2.65146e-05 414: -1.20702e-20 505: -2.65146e-05 506: -1.07997e-20 679: 1.32573e-05
Row 680: 74: 0.000161501 83: 0.000161501 84: 0.000161501 497: -2.30715e-05 498: -1.05879e-21 499: -2.30715e-05 500: -1.0482e-20 535: -2.30715e-05 536: -9.52912e-21 680: 1.15358e-05
Row 681: 72: 0.00015546 73: 0.00015546 79: 0.00015546 485: -2.22085e-05 486: -9.95264e-21 489: -2.22085e-05 490: -1.48231e-21 493: -2.22085e-05 494: 9.21148e-21 681: 1.11043e-05
Row 682: 72: 0.000151473 79: 0.000151473 84: 0.000151473 489: -2.1639e-05 490: -9.95264e-21 491: -2.1639e-05 492: -1.27055e-21 519: -2.1639e-05 520: 8.89385e-21 682: 1.08195e-05
Row 683: 59: 0.000157458 76: 0.000157458 85: 0.000157458 421: -2.2494e-05 422: -1.03762e-20 425: -2.2494e-05 426: -1.27055e-21 503: -2.2494e-05 504: 9.1056e-21 683: 1.1247e-05
Row 684: 79: 0.000183121 80: 0.000183121 87: 0.000183121 517: -2.61602e-05 518: -1.20702e-20 521: -2.61602e-05 522: -8.47033e-22 525: -2.61602e-05 526: 1.05879e-20 684: 1.30801e-05
Row 685: 79: 0.000180744 84: 0.000180744 87: 0.000180744 519: -2.58205e-05 520: -1.69407e-21 521: -2.58205e-05 522: -1.14349e-20 541: -2.58205e-05 542: -1.07997e-20 685: 1.29103e-05
Row 686: 77: 0.000178934 78: 0.000178934 85: 0.000178934 507: -2.55619e-05 508: -8.47033e-22 509: -2.55619e-05 510: -1.15408e-20 513: -2.55619e-05 514: -1.05879e-20 686: 1.2781e-05
Row 687: 78: 0.000182938 82: 0.000182938 88: 0.000182938 511: -2.61341e-05 512: -1.27055e-21 515: -2.61341e-05 516: -1.16467e-20 533: -2.61341e-05 534: -1.07997e-20 687: 1.3067e-05
Row 688: 78: 0.000178742 85: 0.000178742 88: 0.000178742 513: -2.55345e-05 514: -1.17526e-20 515: -2.55345e-05 516: -1.27055e-21 545: -2.55345e-05 546: 1.05879e-20 688: 1.27673e-05
Row 689: 81: 0.000183578 82: 0.000183578 88: 0.000183578 527: -2.62255e-05 528: -1.19643e-20 531: -2.62255e-05 532: -1.27055e-21 533: -2.62255e-05 534: 1.10114e-20 689: 1.31127e-05
Row 690: 80: 0.000173874 81: 0.000173874 87: 0.000173874 523: -2.48392e-05 524: -1.11173e-20 525: -2.48392e-05 526: -1.27055e-21 529: -2.48392e-05 530: 9.95264e-21 690: 1.24196e-05
Row 691: 76: 0.00018187 85: 0.00018187 86: 0.00018187 503: -2.59815e-05 504: -8.47033e-22 505: -2.59815e-05 506: -1.16467e-20 543: -2.59815e-05 544: -1.10114e-20 691: 1.29907e-05
Row 692: 83: 0.000193194 84: 0.000193194 87: 0.000193194 535: -2.75991e-05 536: -1.3129e-20 539: -2.75991e-05 540: -1.27055e-21 541: -2.75991e-05 542: 1.18585e-20 692: 1.37995e-05
Row 693: 85: 0.000191798 86: 0.000191798 88: 0.000191798 543: -2.73997e-05 544: -1.2282e-20 545: -2.73997e-05 546: -1.27055e-21 549: -2.73997e-05 550: 1.12232e-20 693: 1.36999e-05
Row 694: 81: 0.000207574 87: 0.000207574 88: 0.000207574 529: -2.96535e-05 530: -1.27055e-21 531: -2.96535e-05 532: -1.3129e-20 551: -2.96535e-05 552: -1.16467e-20 694: 1.48267e-05
Row 695: 83: 0.000236541 86: 0.000236541 87: 0.000236541 537: -3.37915e-05 538: -1.27055e-21 539: -3.37915e-05 540: -1.48231e-20 547: -3.37915e-05 548: -1.43996e-20 695: 1.68958e-05
Row 696: 86: 0.000216946 87: 0.000216946 88: 0.000216946 547: -3.09923e-05 548: -1.3976e-20 549: -3.09923e-05 550: -1.69407e-21 551: -3.09923e-05 552: 1.29173e-20 696: 1.54962e-05
To access the entries we use the vector of nonzero-entries:
[6]:
print(mstar.nze)
print(len(mstar.AsVector()))
11257
11257
[7]:
print(mstar.AsVector())
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9.66672e-06
0.000135847
0.000135847
0.000135847
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0.000200657
0.000200657
0.000200657
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-2.86653e-05
-1.27055e-21
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0.000117061
0.000117061
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-8.47033e-22
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-1.6723e-05
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0.00011456
0.00011456
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-1.63657e-05
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-1.63657e-05
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0.000124011
0.000124011
0.000124011
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-1.05879e-21
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0.000188852
0.000188852
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-8.47033e-22
-2.69788e-05
-1.15408e-20
-2.69788e-05
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1.34894e-05
0.000150262
0.000150262
0.000150262
-2.1466e-05
-8.47033e-22
-2.1466e-05
-9.95264e-21
-2.1466e-05
-8.89385e-21
1.0733e-05
0.000159838
0.000159838
0.000159838
-2.28339e-05
-8.47033e-22
-2.28339e-05
-1.02703e-20
-2.28339e-05
-9.31736e-21
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0.000143143
0.000143143
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-8.47033e-22
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-2.04489e-05
-8.25857e-21
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0.00015064
0.00015064
0.00015064
-2.15201e-05
-1.05879e-21
-2.15201e-05
-9.74088e-21
-2.15201e-05
-9.1056e-21
1.076e-05
0.000202633
0.000202633
0.000202633
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-1.33408e-20
-2.89475e-05
-1.27055e-21
-2.89475e-05
1.20702e-20
1.44738e-05
0.000151874
0.000151874
0.000151874
-2.16962e-05
-8.47033e-22
-2.16962e-05
-9.74088e-21
-2.16962e-05
-8.89385e-21
1.08481e-05
0.000170126
0.000170126
0.000170126
-2.43037e-05
-1.27055e-21
-2.43037e-05
-1.10114e-20
-2.43037e-05
-1.00585e-20
1.21518e-05
0.00017185
0.00017185
0.00017185
-2.45499e-05
-1.10114e-20
-2.45499e-05
-1.27055e-21
-2.45499e-05
1.01644e-20
1.2275e-05
0.000210896
0.000210896
0.000210896
-3.0128e-05
-1.69407e-21
-3.0128e-05
-1.35525e-20
-3.0128e-05
-1.2282e-20
1.5064e-05
0.000167993
0.000167993
0.000167993
-2.3999e-05
-1.11173e-20
-2.3999e-05
-1.27055e-21
-2.3999e-05
9.95264e-21
1.19995e-05
0.000206676
0.000206676
0.000206676
-2.95251e-05
-1.33408e-20
-2.95251e-05
-1.27055e-21
-2.95251e-05
1.20702e-20
1.47625e-05
0.000107429
0.000107429
0.000107429
-1.53471e-05
-4.23516e-22
-1.53471e-05
-6.67038e-21
-1.53471e-05
-6.24687e-21
7.67353e-06
0.000158542
0.000158542
0.000158542
-2.26489e-05
-1.05879e-21
-2.26489e-05
-1.02703e-20
-2.26489e-05
-8.89385e-21
1.13244e-05
0.000133129
0.000133129
0.000133129
-1.90184e-05
-8.47033e-22
-1.90184e-05
-8.68209e-21
-1.90184e-05
-7.83505e-21
9.50922e-06
0.000154517
0.000154517
0.000154517
-2.20739e-05
-8.47033e-22
-2.20739e-05
-9.95264e-21
-2.20739e-05
-9.1056e-21
1.10369e-05
0.000207469
0.000207469
0.000207469
-2.96384e-05
-1.27055e-21
-2.96384e-05
-1.3129e-20
-2.96384e-05
-1.20702e-20
1.48192e-05
0.000124146
0.000124146
0.000124146
-1.77351e-05
-8.04681e-21
-1.77351e-05
-8.47033e-22
-1.77351e-05
7.19978e-21
8.86754e-06
0.000164012
0.000164012
0.000164012
-2.34303e-05
-1.05879e-21
-2.34303e-05
-1.05879e-20
-2.34303e-05
-9.74088e-21
1.17152e-05
0.000163874
0.000163874
0.000163874
-2.34106e-05
-1.0482e-20
-2.34106e-05
-1.27055e-21
-2.34106e-05
9.1056e-21
1.17053e-05
0.000209174
0.000209174
0.000209174
-2.9882e-05
-1.3129e-20
-2.9882e-05
-1.69407e-21
-2.9882e-05
1.20702e-20
1.4941e-05
0.000185602
0.000185602
0.000185602
-2.65146e-05
-8.47033e-22
-2.65146e-05
-1.20702e-20
-2.65146e-05
-1.07997e-20
1.32573e-05
0.000161501
0.000161501
0.000161501
-2.30715e-05
-1.05879e-21
-2.30715e-05
-1.0482e-20
-2.30715e-05
-9.52912e-21
1.15358e-05
0.00015546
0.00015546
0.00015546
-2.22085e-05
-9.95264e-21
-2.22085e-05
-1.48231e-21
-2.22085e-05
9.21148e-21
1.11043e-05
0.000151473
0.000151473
0.000151473
-2.1639e-05
-9.95264e-21
-2.1639e-05
-1.27055e-21
-2.1639e-05
8.89385e-21
1.08195e-05
0.000157458
0.000157458
0.000157458
-2.2494e-05
-1.03762e-20
-2.2494e-05
-1.27055e-21
-2.2494e-05
9.1056e-21
1.1247e-05
0.000183121
0.000183121
0.000183121
-2.61602e-05
-1.20702e-20
-2.61602e-05
-8.47033e-22
-2.61602e-05
1.05879e-20
1.30801e-05
0.000180744
0.000180744
0.000180744
-2.58205e-05
-1.69407e-21
-2.58205e-05
-1.14349e-20
-2.58205e-05
-1.07997e-20
1.29103e-05
0.000178934
0.000178934
0.000178934
-2.55619e-05
-8.47033e-22
-2.55619e-05
-1.15408e-20
-2.55619e-05
-1.05879e-20
1.2781e-05
0.000182938
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-1.27055e-21
-2.61341e-05
-1.16467e-20
-2.61341e-05
-1.07997e-20
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0.000178742
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0.000178742
-2.55345e-05
-1.17526e-20
-2.55345e-05
-1.27055e-21
-2.55345e-05
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0.000183578
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-2.62255e-05
-1.19643e-20
-2.62255e-05
-1.27055e-21
-2.62255e-05
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0.000173874
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0.000173874
-2.48392e-05
-1.11173e-20
-2.48392e-05
-1.27055e-21
-2.48392e-05
9.95264e-21
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0.00018187
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0.00018187
-2.59815e-05
-8.47033e-22
-2.59815e-05
-1.16467e-20
-2.59815e-05
-1.10114e-20
1.29907e-05
0.000193194
0.000193194
0.000193194
-2.75991e-05
-1.3129e-20
-2.75991e-05
-1.27055e-21
-2.75991e-05
1.18585e-20
1.37995e-05
0.000191798
0.000191798
0.000191798
-2.73997e-05
-1.2282e-20
-2.73997e-05
-1.27055e-21
-2.73997e-05
1.12232e-20
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0.000207574
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-2.96535e-05
-1.27055e-21
-2.96535e-05
-1.3129e-20
-2.96535e-05
-1.16467e-20
1.48267e-05
0.000236541
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0.000236541
-3.37915e-05
-1.27055e-21
-3.37915e-05
-1.48231e-20
-3.37915e-05
-1.43996e-20
1.68958e-05
0.000216946
0.000216946
0.000216946
-3.09923e-05
-1.3976e-20
-3.09923e-05
-1.69407e-21
-3.09923e-05
1.29173e-20
1.54962e-05
Using the vector we can build the linear combination of the a and the m matrix:
[8]:
mstar = m.mat.CreateMatrix()
mstar.AsVector().data = m.mat.AsVector() + dt * a.mat.AsVector()
invmstar = mstar.Inverse(freedofs=fes.FreeDofs())
We set the r.h.s. \(f = exp(-6 ((x+\frac12)^2+y^2)) - exp(-6 ((x-\frac12)^2+y^2))\)
[9]:
f = LinearForm(fes)
gaussp = exp(-6*((x+0.5)*(x+0.5)+y*y))-exp(-6*((x-0.5)*(x-0.5)+y*y))
Draw(gaussp,mesh,"f")
f += gaussp*v*dx
f.Assemble()
[9]:
<ngsolve.comp.LinearForm at 0x7fe19910a970>
and the initial data: \(u_0 = (1-y^2)x\)
[10]:
gfu = GridFunction(fes)
gfu.Set((1-y*y)*x)
Draw(gfu,mesh,"u")
[11]:
res = gfu.vec.CreateVector()
tstep = 1 # time that we want to step over within one block-run
[12]:
%%time
t_intermediate=0 # time counter within one block-run
while t_intermediate < tstep - 0.5 * dt:
res.data = dt * f.vec - dt * a.mat * gfu.vec
gfu.vec.data += invmstar * res
t_intermediate += dt
print("\r",time+t_intermediate,end="")
Redraw(blocking=True)
print("")
time+=t_intermediate
1.0000000000000007
CPU times: user 770 ms, sys: 129 ms, total: 899 ms
Wall time: 769 ms
Alternative version with iterative solvers¶
For a factorization of \(M^\ast\) (\({M^\ast}^{-1}\)) we require a sparse matrix \(M^\ast\)
To store \(M^\ast\) as a sparse matrix requires new storage (and same memory layout of \(A\) and \(M\))
For iterative solvers we only require the matrix (and preconditioner) applications
mstar = m.mat + dt * a.mathas no storage but matrix-vector multiplications
iterative solver version (with Jacobi preconditining):
[13]:
mstar_alt = m.mat + dt * a.mat
premstar_alt = m.mat.CreateSmoother() + dt * a.mat.CreateSmoother()
invmstar_alt = CGSolver(mstar_alt,premstar_alt,printrates=True)
print(premstar_alt)
Sum of
Scale a = 1
Print base-matrix
Scale b = 1
Scale with 0.001:
Print base-matrix
[14]:
%%time
t_intermediate=0 # time counter within one block-run
while t_intermediate < tstep - 0.5 * dt:
res.data = dt * f.vec - dt * a.mat * gfu.vec
gfu.vec.data += invmstar_alt * res
t_intermediate += dt
print("\r t = {:24}, iteration steps: {}".format(time+t_intermediate,invmstar_alt.GetSteps()), end="")
Redraw(blocking=True)
print("")
time+=t_intermediate
t = 2.0000000000000013, iteration steps: 111
CPU times: user 5.82 s, sys: 688 ms, total: 6.51 s
Wall time: 6.34 s
Supplementary material:¶
Supplementary 1: time-dependent r.h.s. data¶
Next: time-dependent r.h.s. data \(f=f(t)\):
Use
Parametert representing the time.A
Parameteris a constantCoefficientFunctionthe value of which can be changed with theSet-function.
[15]:
t = Parameter(0.0)
An example of a time-dependent coefficient that we want to use as r.h.s. in the following is
[16]:
omega=1
gausspt = exp(-6*((x+sin(omega*t))*(x+sin(omega*t))+y*y))-exp(-6*((x-sin(omega*t))*(x-sin(omega*t))+y*y))
Draw(gausspt,mesh,"ft",sd=4)
time = 0.0
while time < 10 - 0.5 * dt:
t.Set(time)
Redraw(blocking=True)
time += 1e-5
Accordingly we define a different linear form which then has to be assembled in every time step.
[17]:
ft = LinearForm(fes)
ft += gausspt*v*dx
time = 0.0
t.Set(0.0)
gfu.Set((1-y*y)*x)
#gfu.Set(CoefficientFunction(0))
Draw(gfu,mesh,"u")
[18]:
tstep = 10 # time that we want to step over within one block-run
t_intermediate=0 # time counter within one block-run
res = gfu.vec.CreateVector()
while t_intermediate < tstep - 0.5 * dt:
t.Set(time+t_intermediate+dt)
ft.Assemble()
res.data = dt * ft.vec - dt * a.mat * gfu.vec
gfu.vec.data += invmstar * res
t_intermediate += dt
print("\r",time+t_intermediate,end="")
Redraw(blocking=True)
print("")
time+=t_intermediate
9.999999999999897
Supplementary 2: Time dependent boundary conditions¶
\(u|_{\partial \Omega} = u_D(t)\), \(f=0\)
implicit Euler time stepping method, non-incremental form:
\[M^\ast u^{n+1} = (M + \Delta t A) u^{n+1} = M u^n\]Homogenize w.r.t. to boundary conditions, i.e. we split
\[u^{n+1} = u^{n+1}_0 + u^{n+1}_D\]where \(u^{n+1}_D\) is a (discrete) function with correct boundary condition:
\[{M^\ast} u^{n+1}_0 = M u^n - {M^\ast} u^{n+1}_D\]
[19]:
uD = CoefficientFunction( [(1-x*x)*IfPos(sin(0.3*pi*t),sin(0.3*pi*t),0),0,0,0])
time = 0.0
t.Set(0.0)
gfu.Set(uD,BND)
Draw(gfu,mesh,"u")
# visualization stuff
from ngsolve.internal import *
visoptions.mminval = 0.0
visoptions.mmaxval = 0.2
visoptions.deformation = 0
visoptions.autoscale = 0
[20]:
tstep = 2 # time that we want to step over within one block-run
t_intermediate=0 # time counter within one block-run
res = gfu.vec.CreateVector()
while t_intermediate < tstep - 0.5 * dt:
t.Set(time+t_intermediate+dt)
res.data = m.mat * gfu.vec
gfu.Set(uD,BND)
res.data -= mstar * gfu.vec
gfu.vec.data += invmstar * res
t_intermediate += dt
print("\r",time+t_intermediate,end="")
Redraw(blocking=True)
print("")
time+=t_intermediate
1.9999999999998905
Supplementary 3: Singly diagonally implicit Runge-Kutta methods¶
We consider more sophisticated time integration methods, SDIRK methods. To simplify presentation we set \(f=0\).
SDIRK methods for the semi-discrete problem \(\frac{d}{dt} u = M^{-1} F(u) = -M^{-1} \cdot A u\) are of the form:
\[u^{n+1} = u^n + \Delta t M^{-1} \sum_{i=0}^{s-1} b_i k_i\]
with
\[k_i = - A u_i \quad \text{ where $u_i$ is the solution to } \quad
(M + a_{ii} \Delta t A) u_i = M u^n - \Delta t \sum_{i=0}^{i-1} a_{ij} k_j, \quad i=0,..,s-1.\]
The coefficients a,b and c are stored in the butcher tableau:
\[\begin{split}\begin{array}{c|cccc}
c_0 & a_{00} & 0 & \ddots& \\
c_1 & a_{10} & a_{11} & 0 & \ddots \\
\vdots & \vdots & \vdots & \ddots & 0\\
c_{s-1} & a_{s-1,0} & a_{s-1,1} & \dots& a_{s-1,s-1} \\ \hline
& b_{0} & b_1 & \dots& b_{s-1} \\
\end{array}\end{split}\]
For an SDIRK method we have \(a^\ast = a_{ii},~i=0,..,s-1\).
Simplest example: Implicit Euler
\[\begin{split}\begin{array}{c|c}
1 & 1 \\ \hline
& 1 \\
\end{array}\end{split}\]
[21]:
class sdirk1: #order 1 (implicit Euler)
stages = 1
a = [[1]]
b = [1]
c = [1]
astar = 1
We can use for example the 2 stage SDIRK (order 3) method
\[\begin{split}\begin{array}{c|cc}
p & p & 0 \\
1-p & 1-2p & p \\ \hline
& 1/2 & 1/2 \\
\end{array}\end{split}\]
with \(p = \frac{3 - \sqrt{3}}{6}\).
[22]:
class sdirk2: #order 3
p = (3 - sqrt(3))/6
stages = 2
a = [[p, 0],
[1 - 2*p, p]]
b = [1/2, 1/2]
c = [p, 1 - p]
astar = p
We can use for example the 5 stage SDIRK (order 4) method
\[\begin{split}\begin{array}{c|cccc}
1/4 & 1/4 \\
3/4 & 1/2 & 1/4 & \\
11/20 & 17/50 & -1/25 & 1/4 \\
1/2 & 371/1360 & -137/2720 & 15/544 & 1/4 \\
1 & 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\ \hline
& 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\
\end{array}\end{split}\]
[23]:
class sdirk5: #order 4
stages = 5
a = [[1/4, 0, 0, 0, 0],
[1/2, 1/4, 0, 0, 0],
[17/50,-1/25, 1/4, 0, 0],
[371/1360, -137/2720, 15/544, 1/4,0],
[25/24, -49/48, 125/16, -85/12, 1/4]]
b = [25/24, -49/48, 125/16, -85/12, 1/4]
c = [1/4, 3/4, 11/20, 1/2, 1]
astar = 1/4
SDIRK2 :¶
[24]:
butchertab = sdirk2()
rhsi = gfu.vec.CreateVector()
Mu0 = gfu.vec.CreateVector()
ui = gfu.vec.CreateVector()
k = [gfu.vec.CreateVector() for i in range(butchertab.stages)]
We have to update the \(M^\ast\) matrix and reset initial data
[25]:
time = 0.0
t.Set(0.0)
gfu.Set(uD,BND)
Draw(gfu,mesh,"u")
# visualization stuff
from ngsolve.internal import *
visoptions.mminval = 0.0
visoptions.mmaxval = 0.2
visoptions.deformation = 0
visoptions.autoscale = 0
mstar.AsVector().data = m.mat.AsVector() + butchertab.astar * dt * a.mat.AsVector()
invmstar = mstar.Inverse(freedofs=fes.FreeDofs())
invmass = m.mat.Inverse(freedofs=fes.FreeDofs())
[26]:
tstep = 2 # time that we want to step over within one block-run
t_intermediate=0 # time counter within one block-run
while t_intermediate < tstep - 0.5 * dt:
Mu0.data = m.mat * gfu.vec
for i in range(butchertab.stages):
# add up the ks as prescribed in the butcher tableau
rhsi.data = Mu0
for j in range(0,i):
rhsi.data += dt * butchertab.a[i][j] * k[j]
# Solve for ui (with homogenization for the boundary data)
t.Set(time+t_intermediate+butchertab.c[i]*dt)
gfu.Set(uD,BND)
ui.data = gfu.vec; rhsi.data -= mstar * ui
ui.data += invmstar * rhsi
# compute k[i] from ui
k[i].data = - a.mat * ui
t_intermediate += dt; t.Set(time+t_intermediate)
# Adding up the ks:
gfu.Set(uD,BND)
Mu0.data -= m.mat * gfu.vec
for i in range(0,butchertab.stages):
Mu0.data += dt * butchertab.b[i] * k[i]
gfu.vec.data += invmass * Mu0
print("\r",time+t_intermediate,end="")
Redraw(blocking=True)
print(""); time+=t_intermediate
1.9999999999998905
Supplementary 4: VTK Output (“exporting the nice pictures”)¶
or
py_tutorials/vtkout.py(ngsolve repository)
Outputting the nice pictures to vtk (to visualize with paraview):
[27]:
vtk = VTKOutput(ma=mesh,coefs=[gfu],
names=["sol"],
filename="vtk_example1",
subdivision=3)
vtk.Do()
[27]:
'vtk_example1'
[28]:
%%bash
ls vtk_example1.vtk
vtk_example1.vtk
You can also export vector fields:
[29]:
vtk = VTKOutput(ma=mesh,coefs=[gfu,grad(gfu)],names=["sol","gradsol"],filename="vtk_example2",subdivision=3)
vtk.Do()
[29]:
'vtk_example2'
[30]:
#%%bash
#paraview vtk_example2.vtk
And time dependent data:
[31]:
vtk = VTKOutput(ma=mesh,coefs=[gfu],names=["sol"],filename="vtk_example3",subdivision=3)
vtk.Do()
gfu.Set((1-y*y)*x)
time = 0
tstep = 1 # time that we want to step over within one block-run
t_intermediate=0 # time counter within one block-run
res = gfu.vec.CreateVector()
i = 0
while t_intermediate < tstep - 0.5 * dt:
res.data = dt * f.vec - dt * a.mat * gfu.vec
gfu.vec.data += invmstar * res
t_intermediate += dt
print("\r",time+t_intermediate,end="")
Redraw(blocking=True)
i += 1
if (i%10 == 0):
vtk.Do()
print("")
1.0000000000000007
[32]:
#%%bash
#paraview vtk_example3_..vtk