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 *
from math import pi
from netgen.geom2d import SplineGeometry
from ngsolve.webgui import Draw
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 0x7f96b0296530>
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)
10798 10798 10798
Row 0: 0: 0.00520833 4: 0.00260417 31: 0.00260417 86: -0.000520833 87: 8.68056e-05 88: -0.000520833 89: 8.68056e-05 106: -0.000260417 107: -1.32137e-19 532: 0.000173611
Row 1: 1: 0.00520833 10: 0.00260417 11: 0.00260417 90: -0.000520833 91: 8.68056e-05 92: -0.000520833 93: 8.68056e-05 140: -0.000260417 141: 1.32137e-19 544: 0.000173611
Row 2: 2: 0.00520833 17: 0.00260417 18: 0.00260417 94: -0.000520833 95: 8.68056e-05 96: -0.000520833 97: 8.68056e-05 180: -0.000260417 181: 1.32137e-19 559: 0.000173611
Row 3: 3: 0.00825547 24: 0.00208821 25: 0.00203952 49: 0.00412774 98: -0.000417643 99: 6.96071e-05 100: -0.000407904 101: 6.7984e-05 102: -0.000825547 103: 0.000137591 222: -0.000208821 223: 1.05032e-19 226: -0.000203952 227: -1.05032e-19 571: 0.000139214 573: 0.000135968
Row 4: 0: 0.00260417 4: 0.017946 5: 0.00267639 31: 0.00629663 32: 0.00636885 86: -0.000520833 87: -8.68056e-05 88: -0.000260417 89: -1.40607e-19 104: -0.000535278 105: 8.9213e-05 106: -0.00125933 107: 0.000209888 108: -0.00127377 109: 0.000212295 112: -0.000267639 113: -1.35525e-19 258: -0.000369246 259: 1.93124e-19 532: 0.000173611 533: 0.000178426 585: 0.000246164
Row 5: 4: 0.00267639 5: 0.0163377 6: 0.00258899 32: 0.00557985 33: 0.00549245 104: -0.000535278 105: -8.9213e-05 108: -0.000267639 109: -1.4569e-19 110: -0.000517798 111: 8.62997e-05 112: -0.00111597 113: 0.000185995 114: -0.00109849 115: 0.000183082 118: -0.000258899 119: -1.32137e-19 262: -0.000290346 263: 1.47384e-19 533: 0.000178426 534: 0.000172599 535: 0.000193564
Row 6: 5: 0.00258899 6: 0.0154527 7: 0.00251617 33: 0.00521019 34: 0.00513737 110: -0.000517798 111: -8.62997e-05 114: -0.000258899 115: -1.40607e-19 116: -0.000503234 117: 8.38723e-05 118: -0.00104204 119: 0.000173673 120: -0.00102747 121: 0.000171246 124: -0.000251617 125: -1.30443e-19 268: -0.00026212 269: 1.37219e-19 534: 0.000172599 536: 0.000167745 537: 0.000174747
Row 7: 6: 0.00251617 7: 0.0145643 8: 0.00235622 34: 0.0049259 35: 0.00476596 116: -0.000503234 117: -8.38723e-05 120: -0.000251617 121: -1.37219e-19 122: -0.000471245 123: 7.85408e-05 124: -0.00098518 125: 0.000164197 126: -0.000953191 127: 0.000158865 130: -0.000235622 131: -1.23667e-19 274: -0.000240973 275: 1.23667e-19 536: 0.000167745 538: 0.000157082 539: 0.000160649
Row 8: 7: 0.00235622 8: 0.0132563 9: 0.00214028 35: 0.00448787 36: 0.00427192 122: -0.000471245 123: -7.85408e-05 126: -0.000235622 127: -1.27055e-19 128: -0.000428055 129: 7.13426e-05 130: -0.000897574 131: 0.000149596 132: -0.000854385 133: 0.000142397 136: -0.000214028 137: -1.11808e-19 280: -0.000213165 281: 1.10114e-19 538: 0.000157082 540: 0.000142685 541: 0.00014211
Row 9: 8: 0.00214028 9: 0.0132964 10: 0.00217244 36: 0.00447577 37: 0.00450793 128: -0.000428055 129: -7.13426e-05 132: -0.000214028 133: -1.16891e-19 134: -0.000434488 135: 7.24146e-05 136: -0.000895154 137: 0.000149192 138: -0.000901587 139: 0.000150264 142: -0.000217244 143: -1.13502e-19 286: -0.000233549 287: 1.20279e-19 540: 0.000142685 542: 0.000144829 543: 0.0001557
Row 10: 1: 0.00260417 9: 0.00217244 10: 0.0162814 11: 0.00596828 37: 0.00553655 90: -0.000520833 91: -8.68056e-05 92: -0.000260417 93: -8.47033e-21 134: -0.000434488 135: -7.24146e-05 138: -0.000217244 139: -1.18585e-19 140: -0.00119366 141: 0.000198943 142: -0.00110731 143: 0.000184552 146: -0.000336411 147: -1.74489e-19 542: 0.000144829 544: 0.000173611 545: 0.000224274
Row 11: 1: 0.00260417 10: 0.00596828 11: 0.024273 12: 0.00289832 37: 0.006634 59: 0.00616822 90: -0.000260417 91: -1.40607e-19 92: -0.000520833 93: -8.68056e-05 140: -0.00119366 141: -0.000198943 142: -0.000336411 143: -1.84653e-19 144: -0.000579665 145: 9.66108e-05 146: -0.0013268 147: 0.000221133 148: -0.00123364 149: 0.000205607 154: -0.000289832 155: -1.4569e-19 294: -0.000326989 295: 1.6263e-19 544: 0.000173611 545: 0.000224274 595: 0.000217993 597: 0.000193222
Row 12: 11: 0.00289832 12: 0.0159145 13: 0.00247767 38: 0.00505891 59: 0.00547957 144: -0.000579665 145: -9.66108e-05 148: -0.000289832 149: -1.60936e-19 150: -0.000495534 151: 8.25889e-05 152: -0.00101178 153: 0.00016863 154: -0.00109591 155: 0.000182652 158: -0.000247767 159: -1.27055e-19 298: -0.000258124 299: -1.28749e-19 549: 0.000165178 597: 0.000193222 600: 0.000172083
Row 13: 12: 0.00247767 13: 0.0139562 14: 0.00219171 38: 0.00478638 39: 0.00450042 150: -0.000495534 151: -8.25889e-05 152: -0.000247767 153: -1.35525e-19 156: -0.000438341 157: 7.30568e-05 158: -0.000957276 159: 0.000159546 160: -0.000900084 161: 0.000150014 164: -0.000219171 165: -1.11808e-19 296: -0.000230871 297: 1.20279e-19 549: 0.000165178 551: 0.000146114 552: 0.000153914
Row 14: 13: 0.00219171 14: 0.0133331 15: 0.00228025 39: 0.00438629 40: 0.00447484 156: -0.000438341 157: -7.30568e-05 160: -0.000219171 161: -1.21973e-19 162: -0.000456051 163: 7.60085e-05 164: -0.000877258 165: 0.00014621 166: -0.000894968 167: 0.000149161 170: -0.000228025 171: -1.16891e-19 304: -0.000219459 305: 1.15196e-19 551: 0.000146114 553: 0.000152017 554: 0.000146306
Row 15: 14: 0.00228025 15: 0.0137895 16: 0.00230929 40: 0.00458548 41: 0.00461452 162: -0.000456051 163: -7.60085e-05 166: -0.000228025 167: -1.23667e-19 168: -0.000461858 169: 7.69764e-05 170: -0.000917095 171: 0.000152849 172: -0.000922903 173: 0.000153817 176: -0.000230929 177: -1.18585e-19 310: -0.000230522 311: 1.18585e-19 553: 0.000152017 555: 0.000153953 556: 0.000153682
Row 16: 15: 0.00230929 16: 0.0136905 17: 0.00219304 41: 0.00465221 42: 0.00453596 168: -0.000461858 169: -7.69764e-05 172: -0.000230929 173: -1.25361e-19 174: -0.000438609 175: 7.31015e-05 176: -0.000930443 177: 0.000155074 178: -0.000907193 179: 0.000151199 182: -0.000219304 183: -1.13502e-19 316: -0.000234292 317: 1.20279e-19 555: 0.000153953 557: 0.000146203 558: 0.000156195
Row 17: 2: 0.00260417 16: 0.00219304 17: 0.0157486 18: 0.00568123 42: 0.00527011 94: -0.000520833 95: -8.68056e-05 96: -0.000260417 97: -8.47033e-21 174: -0.000438609 175: -7.31015e-05 178: -0.000219304 179: -1.18585e-19 180: -0.00113625 181: 0.000189374 182: -0.00105402 183: 0.00017567 186: -0.000307707 187: -1.55854e-19 557: 0.000146203 559: 0.000173611 586: 0.000205138
Row 18: 2: 0.00260417 17: 0.00568123 18: 0.0204183 19: 0.00210327 42: 0.00550172 43: 0.00452793 94: -0.000260417 95: -1.40607e-19 96: -0.000520833 97: -8.68056e-05 180: -0.00113625 181: -0.000189374 182: -0.000307707 183: -1.66018e-19 184: -0.000420655 185: 7.01092e-05 186: -0.00110034 187: 0.000183391 188: -0.000905586 189: 0.000150931 192: -0.000210327 193: -1.06726e-19 322: -0.000242465 323: 1.23667e-19 559: 0.000173611 560: 0.000140218 586: 0.000205138 587: 0.000161644
Row 19: 18: 0.00210327 19: 0.0132064 20: 0.0024949 43: 0.00410829 44: 0.00449992 184: -0.000420655 185: -7.01092e-05 188: -0.000210327 189: -1.15196e-19 190: -0.000498981 191: 8.31635e-05 192: -0.000821659 193: 0.000136943 194: -0.000899985 195: 0.000149997 198: -0.00024949 199: -1.30443e-19 326: -0.000200502 327: 1.01644e-19 560: 0.000140218 561: 0.000166327 562: 0.000133668
Row 20: 19: 0.0024949 20: 0.0152162 21: 0.00261267 44: 0.00499543 45: 0.0051132 190: -0.000498981 191: -8.31635e-05 194: -0.00024949 195: -1.37219e-19 196: -0.000522534 197: 8.70891e-05 198: -0.000999086 199: 0.000166514 200: -0.00102264 201: 0.00017044 204: -0.000261267 205: -1.37219e-19 330: -0.000250053 331: 1.30443e-19 561: 0.000166327 563: 0.000174178 564: 0.000166702
Row 21: 20: 0.00261267 21: 0.0150968 22: 0.00243547 45: 0.00511294 46: 0.00493573 196: -0.000522534 197: -8.70891e-05 200: -0.000261267 201: -1.43996e-19 202: -0.000487094 203: 8.11823e-05 204: -0.00102259 205: 0.000170431 206: -0.000987147 207: 0.000164524 210: -0.000243547 211: -1.25361e-19 336: -0.000250027 337: 1.27055e-19 563: 0.000174178 565: 0.000162365 566: 0.000166684
Row 22: 21: 0.00243547 22: 0.0136586 23: 0.00219452 46: 0.00463479 47: 0.00439384 202: -0.000487094 203: -8.11823e-05 206: -0.000243547 207: -1.30443e-19 208: -0.000438904 209: 7.31506e-05 210: -0.000926957 211: 0.000154493 212: -0.000878767 213: 0.000146461 216: -0.000219452 217: -1.15196e-19 342: -0.000219932 343: 1.11808e-19 565: 0.000162365 567: 0.000146301 568: 0.000146621
Row 23: 22: 0.00219452 23: 0.0120382 24: 0.00195702 47: 0.00406205 48: 0.00382456 208: -0.000438904 209: -7.31506e-05 212: -0.000219452 213: -1.21973e-19 214: -0.000391405 215: 6.52341e-05 216: -0.000812411 217: 0.000135402 218: -0.000764912 219: 0.000127485 220: -0.000195702 221: -1.00797e-19 348: -0.000186753 349: 9.40207e-20 567: 0.000146301 569: 0.000130468 570: 0.000124502
Row 24: 3: 0.00208821 23: 0.00195702 24: 0.0117677 48: 0.00379563 49: 0.00392682 98: -0.000417643 99: -6.96071e-05 102: -0.000208821 103: -3.38813e-21 214: -0.000391405 215: -6.52341e-05 218: -0.000195702 219: -1.06726e-19 220: -0.000759125 221: 0.000126521 222: -0.000785363 223: 0.000130894 354: -0.00018386 355: 9.57147e-20 569: 0.000130468 571: 0.000139214 572: 0.000122573
Row 25: 3: 0.00203952 25: 0.0114082 26: 0.00184326 49: 0.00386082 50: 0.00366456 100: -0.000407904 101: -6.7984e-05 102: -0.000203952 103: -1.10114e-19 224: -0.000368652 225: 6.14421e-05 226: -0.000772164 227: 0.000128694 228: -0.000732912 229: 0.000122152 232: -0.000184326 233: -9.48677e-20 360: -0.00018213 361: 9.31736e-20 573: 0.000135968 574: 0.000122884 575: 0.00012142
Row 26: 25: 0.00184326 26: 0.011253 27: 0.00201573 50: 0.00361078 51: 0.00378324 224: -0.000368652 225: -6.14421e-05 228: -0.000184326 229: -9.82558e-20 230: -0.000403146 231: 6.7191e-05 232: -0.000722155 233: 0.000120359 234: -0.000756649 235: 0.000126108 238: -0.000201573 239: -1.02491e-19 364: -0.000176751 365: 9.14796e-20 574: 0.000122884 576: 0.000134382 577: 0.000117834
Row 27: 26: 0.00201573 27: 0.0123842 28: 0.00215754 51: 0.00403456 52: 0.00417637 230: -0.000403146 231: -6.7191e-05 234: -0.000201573 235: -1.0842e-19 236: -0.000431508 237: 7.1918e-05 238: -0.000806912 239: 0.000134485 240: -0.000835274 241: 0.000139212 244: -0.000215754 245: -1.12655e-19 370: -0.000201883 371: 1.04185e-19 576: 0.000134382 578: 0.000143836 579: 0.000134589
Row 28: 27: 0.00215754 28: 0.0130511 29: 0.00217927 52: 0.00434626 53: 0.004368 236: -0.000431508 237: -7.1918e-05 240: -0.000215754 241: -1.16891e-19 242: -0.000435855 243: 7.26424e-05 244: -0.000869253 245: 0.000144875 246: -0.000873599 247: 0.0001456 250: -0.000217927 251: -1.11808e-19 376: -0.000218872 377: 1.0842e-19 578: 0.000143836 580: 0.000145285 581: 0.000145915
Row 29: 28: 0.00217927 29: 0.0146299 30: 0.00237262 53: 0.00494235 54: 0.00513569 242: -0.000435855 243: -7.26424e-05 246: -0.000217927 247: -1.18585e-19 248: -0.000474524 249: 7.90873e-05 250: -0.000988469 251: 0.000164745 252: -0.00102714 253: 0.00017119 256: -0.000237262 257: -1.18585e-19 382: -0.000276307 383: 1.4569e-19 580: 0.000145285 582: 0.000158175 583: 0.000184205
Row 30: 29: 0.00237262 30: 0.00949048 31: 0.00237262 54: 0.00474524 248: -0.000474524 249: -7.90873e-05 252: -0.000237262 253: -1.28749e-19 254: -0.000474524 255: 7.90873e-05 256: -0.000949048 257: 0.000158175 260: -0.000237262 261: -1.18585e-19 582: 0.000158175 584: 0.000158175
Row 31: 0: 0.00260417 4: 0.00629663 30: 0.00237262 31: 0.0253978 32: 0.00772212 54: 0.00640227 86: -0.000260417 87: -8.47033e-21 88: -0.000520833 89: -8.68056e-05 106: -0.00125933 107: -0.000209888 108: -0.000369246 109: -1.35525e-20 254: -0.000474524 255: -7.90873e-05 256: -0.000237262 257: -1.28749e-19 258: -0.00154442 259: 0.000257404 260: -0.00128045 261: 0.000213409 264: -0.000402965 265: -2.06676e-19 532: 0.000173611 584: 0.000158175 585: 0.000246164 588: 0.000268644
Row 32: 4: 0.00636885 5: 0.00557985 31: 0.00772212 32: 0.0383385 33: 0.0057149 54: 0.00708547 56: 0.00586726 104: -0.000267639 105: -1.01644e-20 106: -0.000369246 107: -1.999e-19 108: -0.00127377 109: -0.000212295 112: -0.00111597 113: -0.000185995 114: -0.000290346 115: -6.77626e-21 258: -0.00154442 259: -0.000257404 260: -0.000402965 261: -2.20229e-19 262: -0.00114298 263: 0.000190497 264: -0.00141709 265: 0.000236182 266: -0.00117345 267: 0.000195575 272: -0.000281145 273: -1.4569e-19 388: -0.000305582 389: 1.55854e-19 533: 0.000178426 535: 0.000193564 585: 0.000246164 588: 0.000268644 590: 0.00018743 633: 0.000203721
Row 33: 5: 0.00549245 6: 0.00521019 32: 0.0057149 33: 0.0326591 34: 0.00531968 55: 0.00540446 56: 0.00551743 110: -0.000258899 111: -1.01644e-20 112: -0.000290346 113: -1.5416e-19 114: -0.00109849 115: -0.000183082 118: -0.00104204 119: -0.000173673 120: -0.00026212 121: -3.38813e-21 262: -0.00114298 263: -0.000190497 266: -0.000281145 267: -1.52466e-19 268: -0.00106394 269: 0.000177323 270: -0.00108089 271: 0.000180149 272: -0.00110349 273: 0.000183914 276: -0.000269848 277: -1.38913e-19 392: -0.000270598 393: -1.38913e-19 534: 0.000172599 535: 0.000193564 537: 0.000174747 589: 0.000179899 590: 0.00018743 591: 0.000180399
Row 34: 6: 0.00513737 7: 0.0049259 33: 0.00531968 34: 0.0306665 35: 0.00488087 55: 0.00531502 73: 0.00508768 116: -0.000251617 117: -6.77626e-21 118: -0.00026212 119: -1.42302e-19 120: -0.00102747 121: -0.000171246 124: -0.00098518 125: -0.000164197 126: -0.000240973 127: -6.77626e-21 268: -0.00106394 269: -0.000177323 270: -0.000269848 271: -1.47384e-19 274: -0.000976174 275: 0.000162696 276: -0.001063 277: 0.000177167 278: -0.00101754 279: 0.000169589 284: -0.000247114 285: -1.27055e-19 394: -0.000261654 395: 1.35525e-19 536: 0.000167745 537: 0.000174747 539: 0.000160649 589: 0.000179899 628: 0.000164743 629: 0.000174436
Row 35: 7: 0.00476596 8: 0.00448787 34: 0.00488087 35: 0.0278411 36: 0.00435211 57: 0.00455181 73: 0.00480248 122: -0.000235622 123: -6.77626e-21 124: -0.000240973 125: -1.30443e-19 126: -0.000953191 127: -0.000158865 130: -0.000897574 131: -0.000149596 132: -0.000213165 133: -6.77626e-21 274: -0.000976174 275: -0.000162696 278: -0.000247114 279: -1.35525e-19 280: -0.000870422 281: 0.00014507 282: -0.000910361 283: 0.000151727 284: -0.000960496 285: 0.000160083 288: -0.000222047 289: -1.13502e-19 406: -0.000233134 407: -1.20279e-19 538: 0.000157082 539: 0.000160649 541: 0.00014211 592: 0.000148031 628: 0.000164743 630: 0.000155423
Row 36: 8: 0.00427192 9: 0.00447577 35: 0.00435211 36: 0.0254224 37: 0.0043714 57: 0.00406788 58: 0.00388332 128: -0.000214028 129: -3.38813e-21 130: -0.000213165 131: -1.16891e-19 132: -0.000854385 133: -0.000142397 136: -0.000895154 137: -0.000149192 138: -0.000233549 139: -3.38813e-21 280: -0.000870422 281: -0.00014507 282: -0.000222047 283: -1.23667e-19 286: -0.00087428 287: 0.000145713 288: -0.000813575 289: 0.000135596 290: -0.000776664 291: 0.000129444 292: -0.000203591 293: -1.03338e-19 404: -0.000184741 405: 9.65618e-20 540: 0.000142685 541: 0.00014211 543: 0.0001557 592: 0.000148031 593: 0.000135727 594: 0.000123161
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Row 39: 13: 0.00450042 14: 0.00438629 38: 0.00419183 39: 0.0254097 40: 0.00441362 60: 0.00379083 61: 0.00412675 156: -0.000219171 157: -3.38813e-21 158: -0.000230871 159: -1.27055e-19 160: -0.000900084 161: -0.000150014 164: -0.000877258 165: -0.00014621 166: -0.000219459 167: -5.0822e-21 296: -0.000838366 297: -0.000139728 300: -0.000188312 301: -1.01644e-19 304: -0.000882725 305: 0.000147121 306: -0.000758166 307: 0.000126361 308: -0.00082535 309: 0.000137558 312: -0.000221904 313: -1.13502e-19 418: -0.000190771 419: 9.82558e-20 551: 0.000146114 552: 0.000153914 554: 0.000146306 598: 0.000125541 602: 0.000147936 603: 0.000127181
Row 40: 14: 0.00447484 15: 0.00458548 39: 0.00441362 40: 0.027545 41: 0.00471696 61: 0.00458072 62: 0.00477342 162: -0.000228025 163: -8.47033e-21 164: -0.000219459 165: -1.18585e-19 166: -0.000894968 167: -0.000149161 170: -0.000917095 171: -0.000152849 172: -0.000230522 173: -5.0822e-21 304: -0.000882725 305: -0.000147121 308: -0.000221904 309: -1.21973e-19 310: -0.000943392 311: 0.000157232 312: -0.000916144 313: 0.000152691 314: -0.000954684 315: 0.000159114 318: -0.000241174 319: -1.21973e-19 424: -0.000236168 425: 1.18585e-19 553: 0.000152017 554: 0.000146306 556: 0.000153682 602: 0.000147936 604: 0.000160782 605: 0.000157445
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Row 42: 16: 0.00453596 17: 0.00527011 18: 0.00550172 41: 0.00477494 42: 0.0291382 43: 0.00452406 63: 0.00453142 174: -0.000219304 175: -5.0822e-21 176: -0.000234292 177: -1.28749e-19 178: -0.000907193 179: -0.000151199 180: -0.000307707 181: -1.35525e-20 182: -0.00105402 183: -0.00017567 186: -0.00110034 187: -0.000183391 188: -0.000242465 189: -1.01644e-20 316: -0.000954988 317: -0.000159165 320: -0.000243202 321: -1.32137e-19 322: -0.000904812 323: 0.000150802 324: -0.000906284 325: 0.000151047 328: -0.00020994 329: -1.09267e-19 557: 0.000146203 558: 0.000156195 586: 0.000205138 587: 0.000161644 606: 0.000162134 608: 0.00013996
Row 43: 18: 0.00452793 19: 0.00410829 42: 0.00452406 43: 0.0214787 44: 0.00411203 63: 0.00420642 184: -0.000210327 185: -5.0822e-21 186: -0.000242465 187: -1.30443e-19 188: -0.000905586 189: -0.000150931 192: -0.000821659 193: -0.000136943 194: -0.000200502 195: -5.0822e-21 322: -0.000904812 323: -0.000150802 324: -0.00020994 325: -1.15196e-19 326: -0.000822407 327: 0.000137068 328: -0.000841284 329: 0.000140214 332: -0.000210702 333: -1.06726e-19 560: 0.000140218 562: 0.000133668 587: 0.000161644 608: 0.00013996 612: 0.000140468
Row 44: 19: 0.00449992 20: 0.00499543 43: 0.00411203 44: 0.0299754 45: 0.00545406 63: 0.00503374 65: 0.00588025 190: -0.00024949 191: -5.0822e-21 192: -0.000200502 193: -1.10114e-19 194: -0.000899985 195: -0.000149997 198: -0.000999086 199: -0.000166514 200: -0.000250053 201: -6.77626e-21 326: -0.000822407 327: -0.000137068 328: -0.000210702 329: -1.16891e-19 330: -0.00109081 331: 0.000181802 332: -0.00100675 333: 0.000167791 334: -0.00117605 335: 0.000196008 340: -0.000295353 341: -1.52466e-19 436: -0.000292673 437: 1.49078e-19 561: 0.000166327 562: 0.000133668 564: 0.000166702 610: 0.000196902 612: 0.000140468 631: 0.000195115
Row 45: 20: 0.0051132 21: 0.00511294 44: 0.00545406 45: 0.0325085 46: 0.00509119 64: 0.00568725 65: 0.00604985 196: -0.000261267 197: -1.69407e-21 198: -0.000250053 199: -1.37219e-19 200: -0.00102264 201: -0.00017044 204: -0.00102259 205: -0.000170431 206: -0.000250027 207: -8.47033e-21 330: -0.00109081 331: -0.000181802 334: -0.000295353 335: -1.6263e-19 336: -0.00101824 337: 0.000169706 338: -0.00113745 339: 0.000189575 340: -0.00120997 341: 0.000201662 344: -0.000259092 345: -1.32137e-19 438: -0.000309633 439: -1.59242e-19 563: 0.000174178 564: 0.000166702 566: 0.000166684 609: 0.000172728 610: 0.000196902 611: 0.000206422
Row 46: 21: 0.00493573 22: 0.00463479 45: 0.00509119 46: 0.028966 47: 0.00449252 64: 0.00505474 66: 0.00475702 202: -0.000243547 203: -5.0822e-21 204: -0.000250027 205: -1.35525e-19 206: -0.000987147 207: -0.000164524 210: -0.000926957 211: -0.000154493 212: -0.000219932 213: -3.38813e-21 336: -0.00101824 337: -0.000169706 338: -0.000259092 339: -1.40607e-19 342: -0.000898504 343: 0.000149751 344: -0.00101095 345: 0.000168491 346: -0.000951404 347: 0.000158567 350: -0.00022932 351: -1.18585e-19 440: -0.000246382 441: 1.27055e-19 565: 0.000162365 566: 0.000166684 568: 0.000146621 609: 0.000172728 613: 0.00015288 614: 0.000164255
Row 47: 22: 0.00439384 23: 0.00406205 46: 0.00449252 47: 0.0250853 48: 0.00383174 66: 0.00431708 67: 0.00398809 208: -0.000219452 209: -5.0822e-21 210: -0.000219932 211: -1.18585e-19 212: -0.000878767 213: -0.000146461 216: -0.000812411 217: -0.000135402 218: -0.000186753 219: -5.0822e-21 342: -0.000898504 343: -0.000149751 346: -0.00022932 347: -1.25361e-19 348: -0.000766349 349: 0.000127725 350: -0.000863416 351: 0.000143903 352: -0.000797618 353: 0.000132936 356: -0.000196421 357: -1.01644e-19 450: -0.000202388 451: 1.04185e-19 567: 0.000146301 568: 0.000146621 570: 0.000124502 613: 0.00015288 615: 0.000130947 616: 0.000134925
Row 48: 23: 0.00382456 24: 0.00379563 47: 0.00383174 48: 0.0214115 49: 0.00338895 67: 0.00349223 68: 0.00307838 214: -0.000195702 215: -6.77626e-21 216: -0.000186753 217: -9.99499e-20 218: -0.000764912 219: -0.000127485 220: -0.000759125 221: -0.000126521 222: -0.00018386 223: -6.77626e-21 348: -0.000766349 349: -0.000127725 352: -0.000196421 353: -1.0842e-19 354: -0.00067779 355: 0.000112965 356: -0.000698447 357: 0.000116408 358: -0.000615675 359: 0.000102613 362: -0.000155035 363: -8.04681e-20 456: -0.000152803 457: 7.708e-20 569: 0.000130468 570: 0.000124502 572: 0.000122573 615: 0.000130947 617: 0.000103357 618: 0.000101868
Row 49: 3: 0.00412774 24: 0.00392682 25: 0.00386082 48: 0.00338895 49: 0.0217045 50: 0.00333556 68: 0.00306462 98: -0.000208821 99: -1.15196e-19 100: -0.000203952 101: -3.38813e-21 102: -0.000825547 103: -0.000137591 220: -0.00018386 221: -9.82558e-20 222: -0.000785363 223: -0.000130894 226: -0.000772164 227: -0.000128694 228: -0.00018213 229: -5.0822e-21 354: -0.00067779 355: -0.000112965 358: -0.000155035 359: -8.47033e-20 360: -0.000667113 361: 0.000111185 362: -0.000612923 363: 0.000102154 366: -0.000151427 367: -7.6233e-20 571: 0.000139214 572: 0.000122573 573: 0.000135968 575: 0.00012142 617: 0.000103357 619: 0.000100951
Row 50: 25: 0.00366456 26: 0.00361078 49: 0.00333556 50: 0.0205575 51: 0.00362505 68: 0.00298916 70: 0.00333244 224: -0.000184326 225: -6.77626e-21 226: -0.00018213 227: -9.82558e-20 228: -0.000732912 229: -0.000122152 232: -0.000722155 233: -0.000120359 234: -0.000176751 235: -5.0822e-21 360: -0.000667113 361: -0.000111185 362: -0.000151427 363: -8.21622e-20 364: -0.000725011 365: 0.000120835 366: -0.000597832 367: 9.96387e-05 368: -0.000666487 369: 0.000111081 374: -0.000185754 375: -9.65618e-20 462: -0.00014749 463: 7.53859e-20 574: 0.000122884 575: 0.00012142 577: 0.000117834 619: 0.000100951 621: 0.000123836 622: 9.83264e-05
Row 51: 26: 0.00378324 27: 0.00403456 50: 0.00362505 51: 0.0234513 52: 0.00413826 69: 0.00406603 70: 0.00380414 230: -0.000201573 231: -3.38813e-21 232: -0.000176751 233: -9.82558e-20 234: -0.000756649 235: -0.000126108 238: -0.000806912 239: -0.000134485 240: -0.000201883 241: -5.0822e-21 364: -0.000725011 365: -0.000120835 368: -0.000185754 369: -1.01644e-19 370: -0.000827652 371: 0.000137942 372: -0.000813205 373: 0.000135534 374: -0.000760828 375: 0.000126805 378: -0.000211943 379: -1.09267e-19 464: -0.00019466 465: -9.91029e-20 576: 0.000134382 577: 0.000117834 579: 0.000134589 620: 0.000141295 621: 0.000123836 623: 0.000129773
Row 52: 27: 0.00417637 28: 0.00434626 51: 0.00413826 52: 0.0259686 53: 0.00449692 69: 0.00431099 71: 0.00449976 236: -0.000215754 237: -5.0822e-21 238: -0.000201883 239: -1.10114e-19 240: -0.000835274 241: -0.000139212 244: -0.000869253 245: -0.000144875 246: -0.000218872 247: -3.38813e-21 370: -0.000827652 371: -0.000137942 372: -0.000211943 373: -1.16891e-19 376: -0.000899384 377: 0.000149897 378: -0.000862198 379: 0.0001437 380: -0.000899951 381: 0.000149992 384: -0.000230819 385: -1.18585e-19 466: -0.000219156 467: 1.11808e-19 578: 0.000143836 579: 0.000134589 581: 0.000145915 620: 0.000141295 624: 0.00015388 625: 0.000146104
Row 53: 28: 0.004368 29: 0.00494235 52: 0.00449692 53: 0.0280453 54: 0.00523826 71: 0.00441639 72: 0.00458338 242: -0.000217927 243: -5.0822e-21 244: -0.000218872 245: -1.18585e-19 246: -0.000873599 247: -0.0001456 250: -0.000988469 251: -0.000164745 252: -0.000276307 253: -5.0822e-21 376: -0.000899384 377: -0.000149897 380: -0.000230819 381: -1.25361e-19 382: -0.00104765 383: 0.000174609 384: -0.000883277 385: 0.000147213 386: -0.000916676 387: 0.000152779 390: -0.000247519 391: -1.28749e-19 474: -0.000210819 475: 1.0842e-19 580: 0.000145285 581: 0.000145915 583: 0.000184205 624: 0.00015388 626: 0.000165013 627: 0.000140546
Row 54: 29: 0.00513569 30: 0.00474524 31: 0.00640227 32: 0.00708547 53: 0.00523826 54: 0.0389508 56: 0.00546226 72: 0.00488164 248: -0.000237262 249: -3.38813e-21 250: -0.000276307 251: -1.52466e-19 252: -0.00102714 253: -0.00017119 254: -0.000237262 255: -3.38813e-21 256: -0.000949048 257: -0.000158175 258: -0.000402965 259: -6.77626e-21 260: -0.00128045 261: -0.000213409 264: -0.00141709 265: -0.000236182 266: -0.000305582 267: -6.77626e-21 382: -0.00104765 383: -0.000174609 386: -0.000247519 387: -1.35525e-19 388: -0.00109245 389: 0.000182075 390: -0.000976327 391: 0.000162721 400: -0.000240645 401: -1.27055e-19 582: 0.000158175 583: 0.000184205 584: 0.000158175 588: 0.000268644 626: 0.000165013 632: 0.00016043 633: 0.000203721
Row 55: 33: 0.00540446 34: 0.00531502 55: 0.0341042 56: 0.00586362 73: 0.00533968 80: 0.00630798 83: 0.00587347 268: -0.000269848 269: -6.77626e-21 270: -0.00108089 271: -0.000180149 272: -0.000270598 273: -1.49078e-19 276: -0.001063 277: -0.000177167 278: -0.000261654 279: -1.01644e-20 392: -0.00117272 393: 0.000195454 394: -0.00106794 395: 0.000177989 396: -0.0012616 397: 0.000210266 398: -0.00117469 399: 0.000195782 402: -0.000315764 403: 1.60936e-19 484: -0.000272314 485: -1.4569e-19 516: -0.000315033 517: 1.59242e-19 589: 0.000179899 591: 0.000180399 629: 0.000174436 648: 0.00021051 657: 0.000210022 658: 0.000181543
Row 56: 32: 0.00586726 33: 0.00551743 54: 0.00546226 55: 0.00586362 56: 0.0334632 72: 0.00500071 80: 0.00575191 262: -0.000281145 263: -6.77626e-21 264: -0.000305582 265: -1.67713e-19 266: -0.00117345 267: -0.000195575 270: -0.000270598 271: -1.01644e-20 272: -0.00110349 273: -0.000183914 388: -0.00109245 389: -0.000182075 390: -0.000240645 391: -1.33831e-19 392: -0.00117272 393: -0.000195454 396: -0.000315764 397: -1.01644e-20 400: -0.00100014 401: 0.00016669 402: -0.00115038 403: 0.00019173 480: -0.000259426 481: 1.30443e-19 590: 0.00018743 591: 0.000180399 632: 0.00016043 633: 0.000203721 647: 0.000172951 648: 0.00021051
Row 57: 35: 0.00455181 36: 0.00406788 57: 0.0269673 58: 0.00388294 73: 0.00471033 74: 0.00470546 82: 0.00504892 280: -0.000222047 281: -6.77626e-21 282: -0.000910361 283: -0.000151727 284: -0.000233134 285: -1.28749e-19 288: -0.000813575 289: -0.000135596 290: -0.000184741 291: -5.0822e-21 404: -0.000776588 405: 0.000129431 406: -0.000942065 407: 0.000157011 408: -0.000941091 409: 0.000156849 410: -0.00100978 411: 0.000168297 414: -0.000203553 415: -1.04185e-19 482: -0.000237899 483: 1.21973e-19 488: -0.000266993 489: -1.35525e-19 592: 0.000148031 594: 0.000123161 630: 0.000155423 636: 0.000135702 655: 0.000177995 662: 0.000158599
Row 58: 36: 0.00388332 37: 0.00413528 57: 0.00388294 58: 0.0206799 59: 0.00442108 74: 0.00435724 286: -0.000203591 287: -6.77626e-21 288: -0.000184741 289: -1.01644e-19 290: -0.000776664 291: -0.000129444 292: -0.000827056 293: -0.000137843 294: -0.000209937 295: -5.0822e-21 404: -0.000776588 405: -0.000129431 408: -0.000203553 409: -1.11808e-19 412: -0.000884216 413: 0.000147369 414: -0.000871448 415: 0.000145241 416: -0.000232171 417: -1.21973e-19 593: 0.000135727 594: 0.000123161 596: 0.000139958 634: 0.000154781 636: 0.000135702
Row 59: 11: 0.00616822 12: 0.00547957 37: 0.00536926 38: 0.00522208 58: 0.00442108 59: 0.0316228 74: 0.00496255 144: -0.000289832 145: -6.77626e-21 146: -0.000326989 147: -1.79571e-19 148: -0.00123364 149: -0.000205607 152: -0.000258124 153: -6.77626e-21 154: -0.00109591 155: -0.000182652 292: -0.000209937 293: -1.13502e-19 294: -0.00107385 295: -0.000178975 298: -0.00104442 299: -0.000174069 302: -0.000264084 303: -6.77626e-21 412: -0.000884216 413: -0.000147369 414: -0.000232171 415: -1.30443e-19 416: -0.00099251 417: 0.000165418 595: 0.000217993 596: 0.000139958 597: 0.000193222 600: 0.000172083 634: 0.000154781 635: 0.000176056
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Row 61: 39: 0.00412675 40: 0.00458072 60: 0.00386914 61: 0.0267543 62: 0.00482155 75: 0.00442885 79: 0.00492729 304: -0.000221904 305: -5.0822e-21 306: -0.000190771 307: -1.05032e-19 308: -0.00082535 309: -0.000137558 312: -0.000916144 313: -0.000152691 314: -0.000236168 315: -3.38813e-21 418: -0.000773829 419: -0.000128971 422: -0.000196143 423: -1.05032e-19 424: -0.000964311 425: 0.000160718 426: -0.00088577 427: 0.000147628 428: -0.000985458 429: 0.000164243 434: -0.000245987 435: -1.28749e-19 490: -0.000246742 491: 1.27055e-19 602: 0.000147936 603: 0.000127181 605: 0.000157445 638: 0.000130762 644: 0.000163992 645: 0.000164495
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Row 66: 46: 0.00475702 47: 0.00431708 64: 0.00500284 66: 0.0274372 67: 0.00410102 76: 0.00439866 77: 0.00486054 342: -0.00022932 343: -1.01644e-20 344: -0.000246382 345: -1.35525e-19 346: -0.000951404 347: -0.000158567 350: -0.000863416 351: -0.000143903 352: -0.000202388 353: -6.77626e-21 440: -0.00100057 441: -0.000166761 442: -0.000253902 443: -1.38913e-19 450: -0.000820204 451: 0.000136701 452: -0.000879731 453: 0.000146622 454: -0.000972108 455: 0.000162018 460: -0.000207714 461: -1.05879e-19 496: -0.000232152 497: -1.18585e-19 613: 0.00015288 614: 0.000164255 616: 0.000134925 639: 0.000138476 640: 0.000169268 641: 0.000154768
Row 67: 47: 0.00398809 48: 0.00349223 66: 0.00410102 67: 0.0221621 68: 0.00306678 70: 0.00348781 76: 0.00402619 348: -0.000196421 349: -6.77626e-21 350: -0.000202388 351: -1.10114e-19 352: -0.000797618 353: -0.000132936 356: -0.000698447 357: -0.000116408 358: -0.000152803 359: -3.38813e-21 450: -0.000820204 451: -0.000136701 452: -0.000207714 453: -1.11808e-19 456: -0.000613356 457: 0.000102226 458: -0.000697562 459: 0.00011626 460: -0.000805238 461: 0.000134206 462: -0.000153876 463: -7.708e-20 472: -0.000194905 473: -9.82558e-20 615: 0.000130947 616: 0.000134925 618: 0.000101868 639: 0.000138476 649: 0.000102584 652: 0.000129937
Row 68: 48: 0.00307838 49: 0.00306462 50: 0.00298916 67: 0.00306678 68: 0.0152126 70: 0.00301365 354: -0.000155035 355: -6.77626e-21 356: -0.000152803 357: -8.38563e-20 358: -0.000615675 359: -0.000102613 360: -0.000151427 361: -3.38813e-21 362: -0.000612923 363: -0.000102154 366: -0.000597832 367: -9.96387e-05 368: -0.00014749 369: -5.0822e-21 456: -0.000613356 457: -0.000102226 458: -0.000153876 459: -8.21622e-20 462: -0.00060273 463: 0.000100455 617: 0.000103357 618: 0.000101868 619: 0.000100951 622: 9.83264e-05 649: 0.000102584
Row 69: 51: 0.00406603 52: 0.00431099 69: 0.0258611 70: 0.00399777 71: 0.00451091 76: 0.00435364 81: 0.00462182 370: -0.000211943 371: -3.38813e-21 372: -0.000813205 373: -0.000135534 374: -0.00019466 375: -1.05032e-19 378: -0.000862198 379: -0.0001437 380: -0.000219156 381: -5.0822e-21 464: -0.000799554 465: 0.000133259 466: -0.000902182 467: 0.000150364 468: -0.000870728 469: 0.000145121 470: -0.000924363 471: 0.000154061 472: -0.000205117 473: 1.02491e-19 478: -0.000231935 479: -1.16891e-19 498: -0.000230247 499: 1.18585e-19 620: 0.000141295 623: 0.000129773 625: 0.000146104 651: 0.000154623 660: 0.000136745 661: 0.000153498
Row 70: 50: 0.00333244 51: 0.00380414 67: 0.00348781 68: 0.00301365 69: 0.00399777 70: 0.021636 76: 0.00400022 364: -0.000185754 365: -6.77626e-21 366: -0.00014749 367: -8.13152e-20 368: -0.000666487 369: -0.000111081 372: -0.00019466 373: -3.38813e-21 374: -0.000760828 375: -0.000126805 456: -0.000153876 457: -5.0822e-21 458: -0.000697562 459: -0.00011626 460: -0.000194905 461: -1.06726e-19 462: -0.00060273 463: -0.000100455 464: -0.000799554 465: -0.000133259 468: -0.000205117 469: -3.38813e-21 472: -0.000800045 473: 0.000133341 621: 0.000123836 622: 9.83264e-05 623: 0.000129773 649: 0.000102584 652: 0.000129937 660: 0.000136745
Row 71: 52: 0.00449976 53: 0.00441639 69: 0.00451091 71: 0.0286132 72: 0.00459361 80: 0.00537932 81: 0.00521325 376: -0.000230819 377: -6.77626e-21 378: -0.000219156 379: -1.20279e-19 380: -0.000899951 381: -0.000149992 384: -0.000883277 385: -0.000147213 386: -0.000210819 387: -6.77626e-21 466: -0.000902182 467: -0.000150364 470: -0.000231935 471: -1.23667e-19 474: -0.000918722 475: 0.00015312 476: -0.00107586 477: 0.000179311 478: -0.00104265 479: 0.000173775 480: -0.000248542 481: -1.27055e-19 514: -0.00028939 515: -1.49078e-19 624: 0.00015388 625: 0.000146104 627: 0.000140546 650: 0.000165695 651: 0.000154623 659: 0.000192927
Row 72: 53: 0.00458338 54: 0.00488164 56: 0.00500071 71: 0.00459361 72: 0.024139 80: 0.00507968 382: -0.000247519 383: -5.0822e-21 384: -0.000210819 385: -1.13502e-19 386: -0.000916676 387: -0.000152779 388: -0.000240645 389: -5.0822e-21 390: -0.000976327 391: -0.000162721 400: -0.00100014 401: -0.00016669 402: -0.000259426 403: -8.47033e-21 474: -0.000918722 475: -0.00015312 476: -0.000248542 477: -1.33831e-19 480: -0.00101594 481: 0.000169323 626: 0.000165013 627: 0.000140546 632: 0.00016043 647: 0.000172951 650: 0.000165695
Row 73: 34: 0.00508768 35: 0.00480248 55: 0.00533968 57: 0.00471033 73: 0.0303901 82: 0.00505288 83: 0.00539704 274: -0.000247114 275: -1.01644e-20 276: -0.000261654 277: -1.42302e-19 278: -0.00101754 279: -0.000169589 282: -0.000233134 283: -5.0822e-21 284: -0.000960496 285: -0.000160083 394: -0.00106794 395: -0.000177989 398: -0.000272314 399: -1.50772e-19 406: -0.000942065 407: -0.000157011 410: -0.000237899 411: -6.77626e-21 482: -0.00101058 483: 0.000168429 484: -0.00107941 485: 0.000179901 522: -0.000267389 523: -1.37219e-19 548: 0.00017826 628: 0.000164743 629: 0.000174436 630: 0.000155423 658: 0.000181543 662: 0.000158599
Row 74: 38: 0.00480906 57: 0.00470546 58: 0.00435724 59: 0.00496255 60: 0.00429319 74: 0.0334138 75: 0.0048707 82: 0.00541565 298: -0.000264084 299: -1.4569e-19 300: -0.000216822 301: -5.0822e-21 302: -0.000961811 303: -0.000160302 404: -0.000203553 405: -1.69407e-21 408: -0.000941091 409: -0.000156849 410: -0.000266993 411: -1.4569e-19 412: -0.000232171 413: -5.0822e-21 414: -0.000871448 415: -0.000145241 416: -0.00099251 417: -0.000165418 420: -0.000858638 421: -0.000143106 422: -0.000212497 423: -3.38813e-21 486: -0.000974139 487: 0.000162357 488: -0.00108313 489: 0.000180522 492: -0.000274572 493: -1.40607e-19 634: 0.000154781 635: 0.000176056 636: 0.000135702 654: 0.000144548 655: 0.000177995 656: 0.000141665 665: 0.000183048
Row 75: 60: 0.00408641 61: 0.00442885 74: 0.0048707 75: 0.0286971 79: 0.005036 82: 0.00522614 85: 0.005049 418: -0.000196143 419: -3.38813e-21 420: -0.000212497 421: -1.18585e-19 422: -0.000817281 423: -0.000136214 426: -0.00088577 427: -0.000147628 428: -0.000246742 429: -8.47033e-21 486: -0.000974139 487: -0.000162357 488: -0.000274572 489: -1.49078e-19 490: -0.0010072 491: 0.000167867 492: -0.00104523 493: 0.000174205 494: -0.0010098 495: 0.0001683 512: -0.000256858 513: -1.30443e-19 524: -0.000248042 525: 1.27055e-19 638: 0.000130762 645: 0.000164495 656: 0.000141665 665: 0.000183048 666: 0.000171239 667: 0.000165361
Row 76: 66: 0.00439866 67: 0.00402619 69: 0.00435364 70: 0.00400022 76: 0.0262494 77: 0.00474487 81: 0.00472582 450: -0.000207714 451: -5.0822e-21 452: -0.000879731 453: -0.000146622 454: -0.000232152 455: -1.30443e-19 458: -0.000194905 459: -6.77626e-21 460: -0.000805238 461: -0.000134206 464: -0.000205117 465: -1.13502e-19 468: -0.000870728 469: -0.000145121 470: -0.000230247 471: -6.77626e-21 472: -0.000800045 473: -0.000133341 496: -0.000948975 497: 0.000158162 498: -0.000945165 499: 0.000157527 502: -0.000242336 503: 1.23667e-19 639: 0.000138476 641: 0.000154768 652: 0.000129937 660: 0.000136745 661: 0.000153498 663: 0.000161557
Row 77: 64: 0.00523879 66: 0.00486054 76: 0.00474487 77: 0.0307643 78: 0.00546621 81: 0.00505538 84: 0.00539847 440: -0.000253902 441: -8.47033e-21 442: -0.00104776 443: -0.000174626 444: -0.000269977 445: -1.47384e-19 452: -0.000232152 453: -3.38813e-21 454: -0.000972108 455: -0.000162018 496: -0.000948975 497: -0.000158162 498: -0.000242336 499: -6.77626e-21 500: -0.00109324 501: 0.000182207 502: -0.00101108 503: 0.000168513 504: -0.00107969 505: 0.000179949 508: -0.000276644 509: 1.38913e-19 520: -0.000263203 521: -1.33831e-19 640: 0.000169268 641: 0.000154768 643: 0.000179985 663: 0.000161557 664: 0.000175469 669: 0.000184429
Row 78: 64: 0.00586242 65: 0.00631504 77: 0.00546621 78: 0.0345825 79: 0.00586891 84: 0.00555994 85: 0.00551002 438: -0.000316264 439: -1.69407e-19 442: -0.000269977 443: -6.77626e-21 444: -0.00117248 445: -0.000195414 446: -0.00126301 447: -0.000210501 448: -0.00031524 449: -1.74489e-19 500: -0.00109324 501: -0.000182207 504: -0.000276644 505: -1.01644e-20 506: -0.00117378 507: 0.00019563 508: -0.00111199 509: 0.000185331 510: -0.001102 511: 0.000183667 512: -0.000271652 513: 1.38913e-19 530: -0.00027935 531: -1.43996e-19 547: 0.000186233 642: 0.000210843 643: 0.000179985 653: 0.00021016 668: 0.000181101 669: 0.000184429
Row 79: 61: 0.00492729 62: 0.00559704 65: 0.00628956 75: 0.005036 78: 0.00586891 79: 0.0330039 85: 0.0052851 424: -0.000245987 425: -6.77626e-21 426: -0.000246742 427: -1.35525e-19 428: -0.000985458 429: -0.000164243 432: -0.000313716 433: -6.77626e-21 434: -0.00111941 435: -0.000186568 446: -0.00031524 447: -6.77626e-21 448: -0.00125791 449: -0.000209652 490: -0.0010072 491: -0.000167867 494: -0.000256858 495: -1.38913e-19 506: -0.00117378 507: -0.00019563 510: -0.000271652 511: -1.69407e-21 512: -0.00105702 513: 0.00017617 644: 0.000163992 645: 0.000164495 646: 0.000209144 653: 0.00021016 666: 0.000171239 668: 0.000181101
Row 80: 55: 0.00630798 56: 0.00575191 71: 0.00537932 72: 0.00507968 80: 0.0409944 81: 0.00598646 83: 0.00627343 84: 0.00621566 392: -0.000315764 393: -1.69407e-19 396: -0.0012616 397: -0.000210266 398: -0.000315033 399: -6.77626e-21 400: -0.000259426 401: -1.38913e-19 402: -0.00115038 403: -0.00019173 474: -0.000248542 475: -3.38813e-21 476: -0.00107586 477: -0.000179311 478: -0.00028939 479: -1.57548e-19 480: -0.00101594 481: -0.000169323 514: -0.00119729 515: 0.000199549 516: -0.00125469 517: 0.000209114 518: -0.00124313 519: 0.000207189 520: -0.000309256 521: 1.59242e-19 526: -0.00031231 527: -1.60936e-19 546: 0.000206171 601: 0.000208207 647: 0.000172951 648: 0.00021051 650: 0.000165695 657: 0.000210022 659: 0.000192927
Row 81: 69: 0.00462182 71: 0.00521325 76: 0.00472582 77: 0.00505538 80: 0.00598646 81: 0.0313273 84: 0.00572459 466: -0.000231935 467: -8.47033e-21 468: -0.000230247 469: -1.25361e-19 470: -0.000924363 471: -0.000154061 476: -0.00028939 477: -6.77626e-21 478: -0.00104265 479: -0.000173775 496: -0.000242336 497: -1.30443e-19 498: -0.000945165 499: -0.000157527 502: -0.00101108 503: -0.000168513 504: -0.000263203 505: -1.43996e-19 514: -0.00119729 515: -0.000199549 518: -0.000309256 519: -6.77626e-21 520: -0.00114492 521: 0.00019082 546: 0.000206171 651: 0.000154623 659: 0.000192927 661: 0.000153498 663: 0.000161557 664: 0.000175469
Row 82: 57: 0.00504892 73: 0.00505288 74: 0.00541565 75: 0.00522614 82: 0.0314022 83: 0.00542603 85: 0.00523255 406: -0.000237899 407: -1.25361e-19 408: -0.000266993 409: -3.38813e-21 410: -0.00100978 411: -0.000168297 482: -0.00101058 483: -0.000168429 484: -0.000267389 485: -1.47384e-19 486: -0.000274572 487: -6.77626e-21 488: -0.00108313 489: -0.000180522 492: -0.00104523 493: -0.000174205 494: -0.000248042 495: -6.77626e-21 522: -0.00108521 523: 0.000180868 524: -0.00104651 525: 0.000174418 528: -0.000275213 529: 1.38913e-19 548: 0.00017826 550: 0.000183476 655: 0.000177995 662: 0.000158599 665: 0.000183048 667: 0.000165361
Row 83: 55: 0.00587347 73: 0.00539704 80: 0.00627343 82: 0.00542603 83: 0.0343595 84: 0.00588026 85: 0.0055093 394: -0.000272314 395: -6.77626e-21 396: -0.000315033 397: -1.71101e-19 398: -0.00117469 399: -0.000195782 482: -0.000267389 483: -6.77626e-21 484: -0.00107941 485: -0.000179901 516: -0.00125469 517: -0.000209114 518: -0.00031231 519: -1.67713e-19 522: -0.00108521 523: -0.000180868 524: -0.000275213 525: -1.01644e-20 526: -0.00117605 527: 0.000196009 528: -0.00110186 529: 0.000183643 530: -0.000275716 531: 1.43996e-19 548: 0.00017826 550: 0.000183476 599: 0.000183811 601: 0.000208207 657: 0.000210022 658: 0.000181543
Row 84: 77: 0.00539847 78: 0.00555994 80: 0.00621566 81: 0.00572459 83: 0.00588026 84: 0.0343296 85: 0.00555066 500: -0.000276644 501: -1.52466e-19 502: -0.000263203 503: -6.77626e-21 504: -0.00107969 505: -0.000179949 508: -0.00111199 509: -0.000185331 510: -0.00027935 511: -1.52466e-19 514: -0.000309256 515: -1.69407e-19 516: -0.00031231 517: -1.01644e-20 518: -0.00124313 519: -0.000207189 520: -0.00114492 521: -0.00019082 526: -0.00117605 527: -0.000196009 528: -0.000275716 529: -6.77626e-21 530: -0.00111013 531: 0.000185022 546: 0.000206171 547: 0.000186233 599: 0.000183811 601: 0.000208207 664: 0.000175469 669: 0.000184429
Row 85: 75: 0.005049 78: 0.00551002 79: 0.0052851 82: 0.00523255 83: 0.0055093 84: 0.00555066 85: 0.0321366 490: -0.000256858 491: -5.0822e-21 492: -0.000248042 493: -1.35525e-19 494: -0.0010098 495: -0.0001683 506: -0.000271652 507: -1.47384e-19 508: -0.00027935 509: -6.77626e-21 510: -0.001102 511: -0.000183667 512: -0.00105702 513: -0.00017617 522: -0.000275213 523: -1.47384e-19 524: -0.00104651 525: -0.000174418 526: -0.000275716 527: -1.50772e-19 528: -0.00110186 529: -0.000183643 530: -0.00111013 531: -0.000185022 547: 0.000186233 550: 0.000183476 599: 0.000183811 666: 0.000171239 667: 0.000165361 668: 0.000181101
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Row 180: 2: -0.000260417 17: -0.00113625 18: -0.00113625 42: -0.000307707 94: 4.34028e-05 95: 6.2004e-06 96: 4.34028e-05 97: 6.2004e-06 180: 0.000189374 181: -1.86347e-20 182: 5.12844e-05 183: -7.32635e-06 186: 5.12844e-05 187: -7.32635e-06 559: -2.48016e-05 586: -2.93054e-05
Row 181: 2: 1.32137e-19 17: 0.000189374 18: -0.000189374 42: -1.35525e-20 94: -6.2004e-06 95: -3.1002e-06 96: 6.2004e-06 97: 3.1002e-06 180: -1.86347e-20 181: 2.02901e-05 182: -7.32635e-06 183: 3.66317e-06 186: 7.32635e-06 187: -3.66317e-06 559: 1.05879e-20 586: -8.47033e-22
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Row 183: 16: -1.13502e-19 17: 0.00017567 18: -1.66018e-19 42: -0.00017567 174: -5.22153e-06 175: -2.61077e-06 178: 5.22153e-06 179: 2.61077e-06 180: -7.32635e-06 181: 3.66317e-06 182: 3.72694e-20 183: 1.88218e-05 186: 7.32635e-06 187: 3.66317e-06 557: -8.57621e-21 586: -1.33408e-20
Row 184: 18: -0.000420655 19: -0.000420655 43: -0.000210327 184: 7.01092e-05 185: -4.23516e-22 188: 3.50546e-05 189: -5.0078e-06 192: 3.50546e-05 193: -5.0078e-06 560: -2.00312e-05
Row 185: 18: 7.01092e-05 19: -7.01092e-05 43: -5.0822e-21 184: -4.23516e-22 185: 7.5117e-06 188: -5.0078e-06 189: 2.5039e-06 192: 5.0078e-06 193: -2.5039e-06 560: -8.47033e-22
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Row 187: 17: -1.55854e-19 18: 0.000183391 42: -0.000183391 43: -1.30443e-19 180: -7.32635e-06 181: -3.66317e-06 182: 7.32635e-06 183: 3.66317e-06 186: 4.40457e-20 187: 1.9649e-05 188: -5.77298e-06 189: 2.88649e-06 322: 5.77298e-06 323: -2.88649e-06 586: -1.27055e-20 587: -1.06938e-20
Row 188: 18: -0.000905586 19: -0.000210327 42: -0.000242465 43: -0.000905586 184: 3.50546e-05 185: -5.0078e-06 186: 4.04109e-05 187: -5.77298e-06 188: 0.000150931 189: 1.60936e-20 192: 3.50546e-05 193: 5.0078e-06 322: 4.04109e-05 323: 5.77298e-06 560: -2.00312e-05 587: -2.30919e-05
Row 189: 18: 0.000150931 19: -1.15196e-19 42: -1.01644e-20 43: -0.000150931 184: -5.0078e-06 185: 2.5039e-06 186: -5.77298e-06 187: 2.88649e-06 188: 1.60936e-20 189: 1.61712e-05 192: 5.0078e-06 193: 2.5039e-06 322: 5.77298e-06 323: 2.88649e-06 560: -8.89385e-21 587: -1.48231e-21
Row 190: 19: -0.000498981 20: -0.000498981 44: -0.00024949 190: 8.31635e-05 191: 0 194: 4.15817e-05 195: -5.94025e-06 198: 4.15817e-05 199: -5.94025e-06 561: -2.3761e-05
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Row 192: 18: -0.000210327 19: -0.000821659 43: -0.000821659 44: -0.000200502 184: 3.50546e-05 185: 5.0078e-06 188: 3.50546e-05 189: 5.0078e-06 192: 0.000136943 193: 3.21873e-20 194: 3.3417e-05 195: -4.77385e-06 326: 3.3417e-05 327: -4.77385e-06 560: -2.00312e-05 562: -1.90954e-05
Row 193: 18: -1.06726e-19 19: 0.000136943 43: -0.000136943 44: -1.10114e-19 184: -5.0078e-06 185: -2.5039e-06 188: 5.0078e-06 189: 2.5039e-06 192: 3.21873e-20 193: 1.46725e-05 194: -4.77385e-06 195: 2.38693e-06 326: 4.77385e-06 327: -2.38693e-06 560: -8.25857e-21 562: -8.78797e-21
Row 194: 19: -0.000899985 20: -0.00024949 43: -0.000200502 44: -0.000899985 190: 4.15817e-05 191: -5.94025e-06 192: 3.3417e-05 193: -4.77385e-06 194: 0.000149997 195: 1.99053e-20 198: 4.15817e-05 199: 5.94025e-06 326: 3.3417e-05 327: 4.77385e-06 561: -2.3761e-05 562: -1.90954e-05
Row 195: 19: 0.000149997 20: -1.37219e-19 43: -5.0822e-21 44: -0.000149997 190: -5.94025e-06 191: 2.97012e-06 192: -4.77385e-06 193: 2.38693e-06 194: 1.99053e-20 195: 1.60712e-05 198: 5.94025e-06 199: 2.97012e-06 326: 4.77385e-06 327: 2.38693e-06 561: -1.07997e-20 562: -8.47033e-22
Row 196: 20: -0.000522534 21: -0.000522534 45: -0.000261267 196: 8.70891e-05 197: 0 200: 4.35445e-05 201: -6.22065e-06 204: 4.35445e-05 205: -6.22065e-06 563: -2.48826e-05
Row 197: 20: 8.70891e-05 21: -8.70891e-05 45: -1.69407e-21 196: 0 197: 9.33097e-06 200: -6.22065e-06 201: 3.11032e-06 204: 6.22065e-06 205: -3.11032e-06 563: -8.47033e-22
Row 198: 19: -0.00024949 20: -0.000999086 44: -0.000999086 45: -0.000250053 190: 4.15817e-05 191: 5.94025e-06 194: 4.15817e-05 195: 5.94025e-06 198: 0.000166514 199: 3.98105e-20 200: 4.16754e-05 201: -5.95363e-06 330: 4.16754e-05 331: -5.95363e-06 561: -2.3761e-05 564: -2.38145e-05
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Row 201: 20: 0.00017044 21: -1.43996e-19 44: -6.77626e-21 45: -0.00017044 196: -6.22065e-06 197: 3.11032e-06 198: -5.95363e-06 199: 2.97682e-06 200: 2.11758e-20 201: 1.82614e-05 204: 6.22065e-06 205: 3.11032e-06 330: 5.95363e-06 331: 2.97682e-06 563: -1.09055e-20 564: -1.69407e-21
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Row 205: 20: -1.37219e-19 21: 0.000170431 45: -0.000170431 46: -1.35525e-19 196: -6.22065e-06 197: -3.11032e-06 200: 6.22065e-06 201: 3.11032e-06 204: 4.15046e-20 205: 1.82605e-05 206: -5.95302e-06 207: 2.97651e-06 336: 5.95302e-06 337: -2.97651e-06 563: -9.635e-21 566: -1.10114e-20
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Row 207: 21: 0.000164524 22: -1.30443e-19 45: -8.47033e-21 46: -0.000164524 202: -5.79873e-06 203: 2.89937e-06 204: -5.95302e-06 205: 2.97651e-06 206: 1.77877e-20 207: 1.76276e-05 210: 5.79873e-06 211: 2.89937e-06 336: 5.95302e-06 337: 2.97651e-06 565: -1.0482e-20 566: -1.27055e-21
Row 208: 22: -0.000438904 23: -0.000438904 47: -0.000219452 208: 7.31506e-05 209: 0 212: 3.65753e-05 213: -5.22504e-06 216: 3.65753e-05 217: -5.22504e-06 567: -2.09002e-05
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Row 215: 23: 6.52341e-05 24: -6.52341e-05 48: -6.77626e-21 214: 4.23516e-22 215: 6.98937e-06 218: -4.65958e-06 219: 2.32979e-06 220: 4.65958e-06 221: -2.32979e-06 569: -1.05879e-21
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Row 229: 25: 0.000122152 26: -9.82558e-20 49: -5.0822e-21 50: -0.000122152 224: -4.38872e-06 225: 2.19436e-06 226: -4.33642e-06 227: 2.16821e-06 228: 1.35525e-20 229: 1.30877e-05 232: 4.38872e-06 233: 2.19436e-06 360: 4.33642e-06 361: 2.16821e-06 574: -7.83505e-21 575: -8.47033e-22
Row 230: 26: -0.000403146 27: -0.000403146 51: -0.000201573 230: 6.7191e-05 231: 0 234: 3.35955e-05 235: -4.79936e-06 238: 3.35955e-05 239: -4.79936e-06 576: -1.91974e-05
Row 231: 26: 6.7191e-05 27: -6.7191e-05 51: -3.38813e-21 230: 0 231: 7.19903e-06 234: -4.79936e-06 235: 2.39968e-06 238: 4.79936e-06 239: -2.39968e-06 576: -1.05879e-21
Row 232: 25: -0.000184326 26: -0.000722155 50: -0.000722155 51: -0.000176751 224: 3.0721e-05 225: 4.38872e-06 228: 3.0721e-05 229: 4.38872e-06 232: 0.000120359 233: 2.71051e-20 234: 2.94586e-05 235: -4.20836e-06 364: 2.94586e-05 365: -4.20836e-06 574: -1.75549e-05 577: -1.68335e-05
Row 233: 25: -9.48677e-20 26: 0.000120359 50: -0.000120359 51: -9.82558e-20 224: -4.38872e-06 225: -2.19436e-06 228: 4.38872e-06 229: 2.19436e-06 232: 2.71051e-20 233: 1.28956e-05 234: -4.20836e-06 235: 2.10418e-06 364: 4.20836e-06 365: -2.10418e-06 574: -7.41154e-21 577: -7.6233e-21
Row 234: 26: -0.000756649 27: -0.000201573 50: -0.000176751 51: -0.000756649 230: 3.35955e-05 231: -4.79936e-06 232: 2.94586e-05 233: -4.20836e-06 234: 0.000126108 235: 1.52466e-20 238: 3.35955e-05 239: 4.79936e-06 364: 2.94586e-05 365: 4.20836e-06 576: -1.91974e-05 577: -1.68335e-05
Row 235: 26: 0.000126108 27: -1.0842e-19 50: -5.0822e-21 51: -0.000126108 230: -4.79936e-06 231: 2.39968e-06 232: -4.20836e-06 233: 2.10418e-06 234: 1.52466e-20 235: 1.35116e-05 238: 4.79936e-06 239: 2.39968e-06 364: 4.20836e-06 365: 2.10418e-06 576: -8.57621e-21 577: -8.47033e-22
Row 236: 27: -0.000431508 28: -0.000431508 52: -0.000215754 236: 7.1918e-05 237: 0 240: 3.5959e-05 241: -5.137e-06 244: 3.5959e-05 245: -5.137e-06 578: -2.0548e-05
Row 237: 27: 7.1918e-05 28: -7.1918e-05 52: -5.0822e-21 236: 0 237: 7.7055e-06 240: -5.137e-06 241: 2.5685e-06 244: 5.137e-06 245: -2.5685e-06 578: -6.35275e-22
Row 238: 26: -0.000201573 27: -0.000806912 51: -0.000806912 52: -0.000201883 230: 3.35955e-05 231: 4.79936e-06 234: 3.35955e-05 235: 4.79936e-06 238: 0.000134485 239: 2.96462e-20 240: 3.36472e-05 241: -4.80674e-06 370: 3.36472e-05 371: -4.80674e-06 576: -1.91974e-05 579: -1.9227e-05
Row 239: 26: -1.02491e-19 27: 0.000134485 51: -0.000134485 52: -1.10114e-19 230: -4.79936e-06 231: -2.39968e-06 234: 4.79936e-06 235: 2.39968e-06 238: 2.96462e-20 239: 1.44091e-05 240: -4.80674e-06 241: 2.40337e-06 370: 4.80674e-06 371: -2.40337e-06 576: -7.6233e-21 579: -8.68209e-21
Row 240: 27: -0.000835274 28: -0.000215754 51: -0.000201883 52: -0.000835274 236: 3.5959e-05 237: -5.137e-06 238: 3.36472e-05 239: -4.80674e-06 240: 0.000139212 241: 1.56701e-20 244: 3.5959e-05 245: 5.137e-06 370: 3.36472e-05 371: 4.80674e-06 578: -2.0548e-05 579: -1.9227e-05
Row 241: 27: 0.000139212 28: -1.16891e-19 51: -5.0822e-21 52: -0.000139212 236: -5.137e-06 237: 2.5685e-06 238: -4.80674e-06 239: 2.40337e-06 240: 1.56701e-20 241: 1.49156e-05 244: 5.137e-06 245: 2.5685e-06 370: 4.80674e-06 371: 2.40337e-06 578: -9.1056e-21 579: -8.47033e-22
Row 242: 28: -0.000435855 29: -0.000435855 53: -0.000217927 242: 7.26424e-05 243: 0 246: 3.63212e-05 247: -5.18874e-06 250: 3.63212e-05 251: -5.18874e-06 580: -2.0755e-05
Row 243: 28: 7.26424e-05 29: -7.26424e-05 53: -5.0822e-21 242: 0 243: 7.78312e-06 246: -5.18874e-06 247: 2.59437e-06 250: 5.18874e-06 251: -2.59437e-06 580: -1.05879e-21
Row 244: 27: -0.000215754 28: -0.000869253 52: -0.000869253 53: -0.000218872 236: 3.5959e-05 237: 5.137e-06 240: 3.5959e-05 241: 5.137e-06 244: 0.000144875 245: 3.38813e-20 246: 3.64787e-05 247: -5.21125e-06 376: 3.64787e-05 377: -5.21125e-06 578: -2.0548e-05 581: -2.0845e-05
Row 245: 27: -1.12655e-19 28: 0.000144875 52: -0.000144875 53: -1.18585e-19 236: -5.137e-06 237: -2.5685e-06 240: 5.137e-06 241: 2.5685e-06 244: 3.38813e-20 245: 1.55224e-05 246: -5.21125e-06 247: 2.60562e-06 376: 5.21125e-06 377: -2.60562e-06 578: -8.68209e-21 581: -9.42324e-21
Row 246: 28: -0.000873599 29: -0.000217927 52: -0.000218872 53: -0.000873599 242: 3.63212e-05 243: -5.18874e-06 244: 3.64787e-05 245: -5.21125e-06 246: 0.0001456 247: 1.56701e-20 250: 3.63212e-05 251: 5.18874e-06 376: 3.64787e-05 377: 5.21125e-06 580: -2.0755e-05 581: -2.0845e-05
Row 247: 28: 0.0001456 29: -1.18585e-19 52: -3.38813e-21 53: -0.0001456 242: -5.18874e-06 243: 2.59437e-06 244: -5.21125e-06 245: 2.60562e-06 246: 1.56701e-20 247: 1.56e-05 250: 5.18874e-06 251: 2.59437e-06 376: 5.21125e-06 377: 2.60562e-06 580: -9.31736e-21 581: -1.27055e-21
Row 248: 29: -0.000474524 30: -0.000474524 54: -0.000237262 248: 7.90873e-05 249: 0 252: 3.95436e-05 253: -5.64909e-06 256: 3.95436e-05 257: -5.64909e-06 582: -2.25964e-05
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Row 250: 28: -0.000217927 29: -0.000988469 53: -0.000988469 54: -0.000276307 242: 3.63212e-05 243: 5.18874e-06 246: 3.63212e-05 247: 5.18874e-06 250: 0.000164745 251: 3.81165e-20 252: 4.60512e-05 253: -6.57875e-06 382: 4.60512e-05 383: -6.57875e-06 580: -2.0755e-05 583: -2.6315e-05
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Row 253: 29: 0.00017119 30: -1.28749e-19 53: -5.0822e-21 54: -0.00017119 248: -5.64909e-06 249: 2.82455e-06 250: -6.57875e-06 251: 3.28937e-06 252: 1.77877e-20 253: 1.83418e-05 256: 5.64909e-06 257: 2.82455e-06 382: 6.57875e-06 383: 3.28937e-06 582: -1.01644e-20 583: -1.27055e-21
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Row 257: 29: -1.18585e-19 30: 0.000158175 31: -1.28749e-19 54: -0.000158175 248: -5.64909e-06 249: -2.82455e-06 252: 5.64909e-06 253: 2.82455e-06 254: -5.64909e-06 255: 2.82455e-06 256: 3.64224e-20 257: 1.69473e-05 260: 5.64909e-06 261: 2.82455e-06 582: -9.1056e-21 584: -1.01644e-20
Row 258: 4: -0.000369246 31: -0.00154442 32: -0.00154442 54: -0.000402965 106: 6.15411e-05 107: 8.79158e-06 108: 6.15411e-05 109: 8.79158e-06 258: 0.000257404 259: -2.87991e-20 260: 6.71609e-05 261: -9.59441e-06 264: 6.71609e-05 265: -9.59441e-06 585: -3.51663e-05 588: -3.83776e-05
Row 259: 4: 1.93124e-19 31: 0.000257404 32: -0.000257404 54: -6.77626e-21 106: -8.79158e-06 107: -4.39579e-06 108: 8.79158e-06 109: 4.39579e-06 258: -2.87991e-20 259: 2.7579e-05 260: -9.59441e-06 261: 4.79721e-06 264: 9.59441e-06 265: -4.79721e-06 585: 1.43996e-20 588: -1.69407e-21
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Row 262: 5: -0.000290346 32: -0.00114298 33: -0.00114298 56: -0.000281145 112: 4.8391e-05 113: 6.913e-06 114: 4.8391e-05 115: 6.913e-06 262: 0.000190497 263: -2.37169e-20 266: 4.68574e-05 267: -6.69392e-06 272: 4.68574e-05 273: -6.69392e-06 535: -2.7652e-05 590: -2.67757e-05
Row 263: 5: 1.47384e-19 32: 0.000190497 33: -0.000190497 56: -6.77626e-21 112: -6.913e-06 113: -3.4565e-06 114: 6.913e-06 115: 3.4565e-06 262: -2.37169e-20 263: 2.04104e-05 266: -6.69392e-06 267: 3.34696e-06 272: 6.69392e-06 273: -3.34696e-06 535: 1.14349e-20 590: -8.47033e-22
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Row 268: 6: -0.00026212 33: -0.00106394 34: -0.00106394 55: -0.000269848 118: 4.36867e-05 119: 6.24096e-06 120: 4.36867e-05 121: 6.24096e-06 268: 0.000177323 269: -2.03288e-20 270: 4.49747e-05 271: -6.42495e-06 276: 4.49747e-05 277: -6.42495e-06 537: -2.49638e-05 589: -2.56998e-05
Row 269: 6: 1.37219e-19 33: 0.000177323 34: -0.000177323 55: -6.77626e-21 118: -6.24096e-06 119: -3.12048e-06 120: 6.24096e-06 121: 3.12048e-06 268: -2.03288e-20 269: 1.89989e-05 270: -6.42495e-06 271: 3.21248e-06 276: 6.42495e-06 277: -3.21248e-06 537: 1.02703e-20 589: -1.27055e-21
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Row 275: 7: 1.23667e-19 34: 0.000162696 35: -0.000162696 73: -1.01644e-20 124: -5.73746e-06 125: -2.86873e-06 126: 5.73746e-06 127: 2.86873e-06 274: -1.90582e-20 275: 1.74317e-05 278: -5.88367e-06 279: 2.94183e-06 284: 5.88367e-06 285: -2.94183e-06 539: 9.74088e-21 628: -8.47033e-22
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Row 286: 9: -0.000233549 36: -0.00087428 37: -0.00087428 58: -0.000203591 136: 3.89249e-05 137: 5.5607e-06 138: 3.89249e-05 139: 5.5607e-06 286: 0.000145713 287: -1.73642e-20 290: 3.39318e-05 291: -4.8474e-06 292: 3.39318e-05 293: -4.8474e-06 543: -2.22428e-05 593: -1.93896e-05
Row 287: 9: 1.20279e-19 36: 0.000145713 37: -0.000145713 58: -6.77626e-21 136: -5.5607e-06 137: -2.78035e-06 138: 5.5607e-06 139: 2.78035e-06 286: -1.73642e-20 287: 1.56122e-05 290: -4.8474e-06 291: 2.4237e-06 292: 4.8474e-06 293: -2.4237e-06 543: 9.31736e-21 593: -1.05879e-21
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Row 293: 36: -1.03338e-19 37: 0.000137843 58: -0.000137843 59: -1.13502e-19 286: -4.8474e-06 287: -2.4237e-06 290: 4.8474e-06 291: 2.4237e-06 292: 3.30343e-20 293: 1.47689e-05 294: -4.99851e-06 295: 2.49925e-06 412: 4.99851e-06 413: -2.49925e-06 593: -7.83505e-21 596: -9.21148e-21
Row 294: 11: -0.000326989 37: -0.00107385 58: -0.000209937 59: -0.00107385 146: 5.44982e-05 147: 7.78546e-06 148: 5.44982e-05 149: 7.78546e-06 292: 3.49895e-05 293: -4.99851e-06 294: 0.000178975 295: -2.71051e-20 412: 3.49895e-05 413: 4.99851e-06 595: -3.11418e-05 596: -1.9994e-05
Row 295: 11: 1.6263e-19 37: 0.000178975 58: -5.0822e-21 59: -0.000178975 146: -7.78546e-06 147: -3.89273e-06 148: 7.78546e-06 149: 3.89273e-06 292: -4.99851e-06 293: 2.49925e-06 294: -2.71051e-20 295: 1.91759e-05 412: 4.99851e-06 413: 2.49925e-06 595: 1.20702e-20 596: -1.27055e-21
Row 296: 13: -0.000230871 38: -0.000838366 39: -0.000838366 60: -0.000188312 158: 3.84785e-05 159: 5.49694e-06 160: 3.84785e-05 161: 5.49694e-06 296: 0.000139728 297: -1.82112e-20 300: 3.13853e-05 301: -4.48361e-06 306: 3.13853e-05 307: -4.48361e-06 552: -2.19877e-05 598: -1.79345e-05
Row 297: 13: 1.20279e-19 38: 0.000139728 39: -0.000139728 60: -6.77626e-21 158: -5.49694e-06 159: -2.74847e-06 160: 5.49694e-06 161: 2.74847e-06 296: -1.82112e-20 297: 1.49708e-05 300: -4.48361e-06 301: 2.24181e-06 306: 4.48361e-06 307: -2.24181e-06 552: 8.78797e-21 598: -6.35275e-22
Row 298: 12: -0.000258124 38: -0.00104442 59: -0.00104442 74: -0.000264084 152: 4.30207e-05 153: 6.14582e-06 154: 4.30207e-05 155: 6.14582e-06 298: 0.000174069 299: 3.81165e-20 302: 4.4014e-05 303: -6.28772e-06 416: 4.4014e-05 417: -6.28772e-06 600: -2.45833e-05 635: -2.51509e-05
Row 299: 12: -1.28749e-19 38: 0.000174069 59: -0.000174069 74: -1.4569e-19 152: -6.14582e-06 153: -3.07291e-06 154: 6.14582e-06 155: 3.07291e-06 298: 3.81165e-20 299: 1.86503e-05 302: -6.28772e-06 303: 3.14386e-06 416: 6.28772e-06 417: -3.14386e-06 600: -1.00585e-20 635: -1.14349e-20
Row 300: 38: -0.000810267 39: -0.000188312 60: -0.000810267 74: -0.000216822 296: 3.13853e-05 297: -4.48361e-06 300: 0.000135044 301: 1.52466e-20 302: 3.61369e-05 303: -5.16242e-06 306: 3.13853e-05 307: 4.48361e-06 420: 3.61369e-05 421: -5.16242e-06 598: -1.79345e-05 654: -2.06497e-05
Row 301: 38: 0.000135044 39: -1.01644e-19 60: -0.000135044 74: -5.0822e-21 296: -4.48361e-06 297: 2.24181e-06 300: 1.52466e-20 301: 1.4469e-05 302: -5.16242e-06 303: 2.58121e-06 306: 4.48361e-06 307: 2.24181e-06 420: 5.16242e-06 421: -2.58121e-06 598: -8.04681e-21 654: -8.47033e-22
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Row 303: 38: 0.000160302 59: -6.77626e-21 60: -1.15196e-19 74: -0.000160302 298: -6.28772e-06 299: 3.14386e-06 300: -5.16242e-06 301: 2.58121e-06 302: 1.77877e-20 303: 1.71752e-05 416: 6.28772e-06 417: 3.14386e-06 420: 5.16242e-06 421: 2.58121e-06 635: -1.27055e-21 654: -9.21148e-21
Row 304: 14: -0.000219459 39: -0.000882725 40: -0.000882725 61: -0.000221904 164: 3.65764e-05 165: 5.2252e-06 166: 3.65764e-05 167: 5.2252e-06 304: 0.000147121 305: -1.69407e-20 308: 3.6984e-05 309: -5.28343e-06 312: 3.6984e-05 313: -5.28343e-06 554: -2.09008e-05 602: -2.11337e-05
Row 305: 14: 1.15196e-19 39: 0.000147121 40: -0.000147121 61: -5.0822e-21 164: -5.2252e-06 165: -2.6126e-06 166: 5.2252e-06 167: 2.6126e-06 304: -1.69407e-20 305: 1.57629e-05 308: -5.28343e-06 309: 2.64171e-06 312: 5.28343e-06 313: -2.64171e-06 554: 8.04681e-21 602: -1.05879e-21
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Row 307: 38: -9.82558e-20 39: 0.000126361 60: -0.000126361 61: -1.05032e-19 296: -4.48361e-06 297: -2.24181e-06 300: 4.48361e-06 301: 2.24181e-06 306: 2.96462e-20 307: 1.35387e-05 308: -4.54217e-06 309: 2.27108e-06 418: 4.54217e-06 419: -2.27108e-06 598: -7.83505e-21 603: -8.25857e-21
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Row 310: 15: -0.000230522 40: -0.000943392 41: -0.000943392 62: -0.000241174 170: 3.84204e-05 171: 5.48863e-06 172: 3.84204e-05 173: 5.48863e-06 310: 0.000157232 311: -1.69407e-20 314: 4.01956e-05 315: -5.74223e-06 318: 4.01956e-05 319: -5.74223e-06 556: -2.19545e-05 604: -2.29689e-05
Row 311: 15: 1.18585e-19 40: 0.000157232 41: -0.000157232 62: -6.77626e-21 170: -5.48863e-06 171: -2.74431e-06 172: 5.48863e-06 173: 2.74431e-06 310: -1.69407e-20 311: 1.68463e-05 314: -5.74223e-06 315: 2.87112e-06 318: 5.74223e-06 319: -2.87112e-06 556: 9.21148e-21 604: -1.05879e-21
Row 312: 39: -0.000221904 40: -0.000916144 61: -0.000916144 62: -0.000236168 304: 3.6984e-05 305: 5.28343e-06 308: 3.6984e-05 309: 5.28343e-06 312: 0.000152691 313: 3.55754e-20 314: 3.93614e-05 315: -5.62305e-06 424: 3.93614e-05 425: -5.62305e-06 602: -2.11337e-05 605: -2.24922e-05
Row 313: 39: -1.13502e-19 40: 0.000152691 61: -0.000152691 62: -1.25361e-19 304: -5.28343e-06 305: -2.64171e-06 308: 5.28343e-06 309: 2.64171e-06 312: 3.55754e-20 313: 1.63597e-05 314: -5.62305e-06 315: 2.81153e-06 424: 5.62305e-06 425: -2.81153e-06 602: -9.1056e-21 605: -1.02703e-20
Row 314: 40: -0.000954684 41: -0.000241174 61: -0.000236168 62: -0.000954684 310: 4.01956e-05 311: -5.74223e-06 312: 3.93614e-05 313: -5.62305e-06 314: 0.000159114 315: 1.77877e-20 318: 4.01956e-05 319: 5.74223e-06 424: 3.93614e-05 425: 5.62305e-06 604: -2.29689e-05 605: -2.24922e-05
Row 315: 40: 0.000159114 41: -1.30443e-19 61: -3.38813e-21 62: -0.000159114 310: -5.74223e-06 311: 2.87112e-06 312: -5.62305e-06 313: 2.81153e-06 314: 1.77877e-20 315: 1.70479e-05 318: 5.74223e-06 319: 2.87112e-06 424: 5.62305e-06 425: 2.81153e-06 604: -1.02703e-20 605: -1.48231e-21
Row 316: 16: -0.000234292 41: -0.000954988 42: -0.000954988 63: -0.000243202 176: 3.90487e-05 177: 5.57838e-06 178: 3.90487e-05 179: 5.57838e-06 316: 0.000159165 317: -1.86347e-20 320: 4.05336e-05 321: -5.79052e-06 324: 4.05336e-05 325: -5.79052e-06 558: -2.23135e-05 606: -2.31621e-05
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Row 370: 27: -0.000201883 51: -0.000827652 52: -0.000827652 69: -0.000211943 238: 3.36472e-05 239: 4.80674e-06 240: 3.36472e-05 241: 4.80674e-06 370: 0.000137942 371: -1.43996e-20 372: 3.53238e-05 373: -5.04626e-06 378: 3.53238e-05 379: -5.04626e-06 579: -1.9227e-05 620: -2.0185e-05
Row 371: 27: 1.04185e-19 51: 0.000137942 52: -0.000137942 69: -3.38813e-21 238: -4.80674e-06 239: -2.40337e-06 240: 4.80674e-06 241: 2.40337e-06 370: -1.43996e-20 371: 1.47795e-05 372: -5.04626e-06 373: 2.52313e-06 378: 5.04626e-06 379: -2.52313e-06 579: 7.83505e-21 620: -1.05879e-21
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Row 373: 51: 0.000135534 52: -1.16891e-19 69: -0.000135534 70: -3.38813e-21 370: -5.04626e-06 371: 2.52313e-06 372: 1.65171e-20 373: 1.45215e-05 374: -4.63476e-06 375: 2.31738e-06 378: 5.04626e-06 379: 2.52313e-06 464: 4.63476e-06 465: -2.31738e-06 620: -8.89385e-21 623: -8.47033e-22
Row 374: 50: -0.000185754 51: -0.000760828 69: -0.00019466 70: -0.000760828 364: 3.0959e-05 365: 4.42271e-06 368: 3.0959e-05 369: 4.42271e-06 372: 3.24433e-05 373: -4.63476e-06 374: 0.000126805 375: 2.96462e-20 464: 3.24433e-05 465: 4.63476e-06 621: -1.76909e-05 623: -1.8539e-05
Row 375: 50: -9.65618e-20 51: 0.000126805 69: -1.05032e-19 70: -0.000126805 364: -4.42271e-06 365: -2.21136e-06 368: 4.42271e-06 369: 2.21136e-06 372: -4.63476e-06 373: 2.31738e-06 374: 2.96462e-20 375: 1.35862e-05 464: 4.63476e-06 465: 2.31738e-06 621: -7.6233e-21 623: -8.15269e-21
Row 376: 28: -0.000218872 52: -0.000899384 53: -0.000899384 71: -0.000230819 244: 3.64787e-05 245: 5.21125e-06 246: 3.64787e-05 247: 5.21125e-06 376: 0.000149897 377: -1.69407e-20 380: 3.84699e-05 381: -5.4957e-06 384: 3.84699e-05 385: -5.4957e-06 581: -2.0845e-05 624: -2.19828e-05
Row 377: 28: 1.0842e-19 52: 0.000149897 53: -0.000149897 71: -6.77626e-21 244: -5.21125e-06 245: -2.60562e-06 246: 5.21125e-06 247: 2.60562e-06 376: -1.69407e-20 377: 1.60604e-05 380: -5.4957e-06 381: 2.74785e-06 384: 5.4957e-06 385: -2.74785e-06 581: 8.68209e-21 624: -8.47033e-22
Row 378: 51: -0.000211943 52: -0.000862198 69: -0.000862198 71: -0.000219156 370: 3.53238e-05 371: 5.04626e-06 372: 3.53238e-05 373: 5.04626e-06 378: 0.0001437 379: 3.47284e-20 380: 3.6526e-05 381: -5.218e-06 466: 3.6526e-05 467: -5.218e-06 620: -2.0185e-05 625: -2.0872e-05
Row 379: 51: -1.09267e-19 52: 0.0001437 69: -0.0001437 71: -1.20279e-19 370: -5.04626e-06 371: -2.52313e-06 372: 5.04626e-06 373: 2.52313e-06 378: 3.47284e-20 379: 1.53964e-05 380: -5.218e-06 381: 2.609e-06 466: 5.218e-06 467: -2.609e-06 620: -8.04681e-21 625: -9.42324e-21
Row 380: 52: -0.000899951 53: -0.000230819 69: -0.000219156 71: -0.000899951 376: 3.84699e-05 377: -5.4957e-06 378: 3.6526e-05 379: -5.218e-06 380: 0.000149992 381: 1.69407e-20 384: 3.84699e-05 385: 5.4957e-06 466: 3.6526e-05 467: 5.218e-06 624: -2.19828e-05 625: -2.0872e-05
Row 381: 52: 0.000149992 53: -1.25361e-19 69: -5.0822e-21 71: -0.000149992 376: -5.4957e-06 377: 2.74785e-06 378: -5.218e-06 379: 2.609e-06 380: 1.69407e-20 381: 1.60706e-05 384: 5.4957e-06 385: 2.74785e-06 466: 5.218e-06 467: 2.609e-06 624: -9.84676e-21 625: -1.05879e-21
Row 382: 29: -0.000276307 53: -0.00104765 54: -0.00104765 72: -0.000247519 250: 4.60512e-05 251: 6.57875e-06 252: 4.60512e-05 253: 6.57875e-06 382: 0.000174609 383: -2.20229e-20 386: 4.12532e-05 387: -5.89331e-06 390: 4.12532e-05 391: -5.89331e-06 583: -2.6315e-05 626: -2.35732e-05
Row 383: 29: 1.4569e-19 53: 0.000174609 54: -0.000174609 72: -5.0822e-21 250: -6.57875e-06 251: -3.28937e-06 252: 6.57875e-06 253: 3.28937e-06 382: -2.20229e-20 383: 1.87081e-05 386: -5.89331e-06 387: 2.94666e-06 390: 5.89331e-06 391: -2.94666e-06 583: 1.07997e-20 626: -1.05879e-21
Row 384: 52: -0.000230819 53: -0.000883277 71: -0.000883277 72: -0.000210819 376: 3.84699e-05 377: 5.4957e-06 380: 3.84699e-05 381: 5.4957e-06 384: 0.000147213 385: 3.30343e-20 386: 3.51365e-05 387: -5.0195e-06 474: 3.51365e-05 475: -5.0195e-06 624: -2.19828e-05 627: -2.0078e-05
Row 385: 52: -1.18585e-19 53: 0.000147213 71: -0.000147213 72: -1.13502e-19 376: -5.4957e-06 377: -2.74785e-06 380: 5.4957e-06 381: 2.74785e-06 384: 3.30343e-20 385: 1.57728e-05 386: -5.0195e-06 387: 2.50975e-06 474: 5.0195e-06 475: -2.50975e-06 624: -8.99973e-21 627: -9.1056e-21
Row 386: 53: -0.000916676 54: -0.000247519 71: -0.000210819 72: -0.000916676 382: 4.12532e-05 383: -5.89331e-06 384: 3.51365e-05 385: -5.0195e-06 386: 0.000152779 387: 1.86347e-20 390: 4.12532e-05 391: 5.89331e-06 474: 3.51365e-05 475: 5.0195e-06 626: -2.35732e-05 627: -2.0078e-05
Row 387: 53: 0.000152779 54: -1.35525e-19 71: -6.77626e-21 72: -0.000152779 382: -5.89331e-06 383: 2.94666e-06 384: -5.0195e-06 385: 2.50975e-06 386: 1.86347e-20 387: 1.63692e-05 390: 5.89331e-06 391: 2.94666e-06 474: 5.0195e-06 475: 2.50975e-06 626: -1.06938e-20 627: -1.27055e-21
Row 388: 32: -0.000305582 54: -0.00109245 56: -0.00109245 72: -0.000240645 264: 5.09303e-05 265: 7.27575e-06 266: 5.09303e-05 267: 7.27575e-06 388: 0.000182075 389: -2.03288e-20 390: 4.01074e-05 391: -5.72963e-06 400: 4.01074e-05 401: -5.72963e-06 632: -2.29185e-05 633: -2.9103e-05
Row 389: 32: 1.55854e-19 54: 0.000182075 56: -0.000182075 72: -5.0822e-21 264: -7.27575e-06 265: -3.63788e-06 266: 7.27575e-06 267: 3.63788e-06 388: -2.03288e-20 389: 1.95081e-05 390: -5.72963e-06 391: 2.86482e-06 400: 5.72963e-06 401: -2.86482e-06 632: -1.05879e-21 633: 1.2282e-20
Row 390: 53: -0.000247519 54: -0.000976327 56: -0.000240645 72: -0.000976327 382: 4.12532e-05 383: 5.89331e-06 386: 4.12532e-05 387: 5.89331e-06 388: 4.01074e-05 389: -5.72963e-06 390: 0.000162721 391: 3.47284e-20 400: 4.01074e-05 401: 5.72963e-06 626: -2.35732e-05 632: -2.29185e-05
Row 391: 53: -1.28749e-19 54: 0.000162721 56: -1.33831e-19 72: -0.000162721 382: -5.89331e-06 383: -2.94666e-06 386: 5.89331e-06 387: 2.94666e-06 388: -5.72963e-06 389: 2.86482e-06 390: 3.47284e-20 391: 1.74344e-05 400: 5.72963e-06 401: 2.86482e-06 626: -9.52912e-21 632: -9.84676e-21
Row 392: 33: -0.000270598 55: -0.00117272 56: -0.00117272 80: -0.000315764 270: 4.50997e-05 271: 6.44281e-06 272: 4.50997e-05 273: 6.44281e-06 392: 0.000195454 393: 4.40457e-20 396: 5.26274e-05 397: -7.5182e-06 402: 5.26274e-05 403: -7.5182e-06 591: -2.57712e-05 648: -3.00728e-05
Row 393: 33: -1.38913e-19 55: 0.000195454 56: -0.000195454 80: -1.69407e-19 270: -6.44281e-06 271: -3.22141e-06 272: 6.44281e-06 273: 3.22141e-06 392: 4.40457e-20 393: 2.09415e-05 396: -7.5182e-06 397: 3.7591e-06 402: 7.5182e-06 403: -3.7591e-06 591: -1.03762e-20 648: -1.3976e-20
Row 394: 34: -0.000261654 55: -0.00106794 73: -0.00106794 83: -0.000272314 276: 4.3609e-05 277: 6.22986e-06 278: 4.3609e-05 279: 6.22986e-06 394: 0.000177989 395: -2.03288e-20 398: 4.53857e-05 399: -6.48367e-06 484: 4.53857e-05 485: -6.48367e-06 629: -2.49194e-05 658: -2.59347e-05
Row 395: 34: 1.35525e-19 55: 0.000177989 73: -0.000177989 83: -6.77626e-21 276: -6.22986e-06 277: -3.11493e-06 278: 6.22986e-06 279: 3.11493e-06 394: -2.03288e-20 395: 1.90703e-05 398: -6.48367e-06 399: 3.24183e-06 484: 6.48367e-06 485: -3.24183e-06 629: 1.0482e-20 658: -1.27055e-21
Row 396: 55: -0.0012616 56: -0.000315764 80: -0.0012616 83: -0.000315033 392: 5.26274e-05 393: -7.5182e-06 396: 0.000210266 397: 2.37169e-20 398: 5.25055e-05 399: -7.50079e-06 402: 5.26274e-05 403: 7.5182e-06 516: 5.25055e-05 517: -7.50079e-06 648: -3.00728e-05 657: -3.00032e-05
Row 397: 55: 0.000210266 56: -1.01644e-20 80: -0.000210266 83: -1.71101e-19 392: -7.5182e-06 393: 3.7591e-06 396: 2.37169e-20 397: 2.25285e-05 398: -7.50079e-06 399: 3.7504e-06 402: 7.5182e-06 403: 3.7591e-06 516: 7.50079e-06 517: -3.7504e-06 648: -2.11758e-21 657: -1.3976e-20
Row 398: 55: -0.00117469 73: -0.000272314 80: -0.000315033 83: -0.00117469 394: 4.53857e-05 395: -6.48367e-06 396: 5.25055e-05 397: -7.50079e-06 398: 0.000195782 399: 2.03288e-20 484: 4.53857e-05 485: 6.48367e-06 516: 5.25055e-05 517: 7.50079e-06 657: -3.00032e-05 658: -2.59347e-05
Row 399: 55: 0.000195782 73: -1.50772e-19 80: -6.77626e-21 83: -0.000195782 394: -6.48367e-06 395: 3.24183e-06 396: -7.50079e-06 397: 3.7504e-06 398: 2.03288e-20 399: 2.09767e-05 484: 6.48367e-06 485: 3.24183e-06 516: 7.50079e-06 517: 3.7504e-06 657: -2.11758e-21 658: -1.16467e-20
Row 400: 54: -0.000240645 56: -0.00100014 72: -0.00100014 80: -0.000259426 388: 4.01074e-05 389: 5.72963e-06 390: 4.01074e-05 391: 5.72963e-06 400: 0.00016669 401: 3.72694e-20 402: 4.32377e-05 403: -6.17682e-06 480: 4.32377e-05 481: -6.17682e-06 632: -2.29185e-05 647: -2.47073e-05
Row 401: 54: -1.27055e-19 56: 0.00016669 72: -0.00016669 80: -1.38913e-19 388: -5.72963e-06 389: -2.86482e-06 390: 5.72963e-06 391: 2.86482e-06 400: 3.72694e-20 401: 1.78597e-05 402: -6.17682e-06 403: 3.08841e-06 480: 6.17682e-06 481: -3.08841e-06 632: -9.31736e-21 647: -1.13291e-20
Row 402: 55: -0.000315764 56: -0.00115038 72: -0.000259426 80: -0.00115038 392: 5.26274e-05 393: 7.5182e-06 396: 5.26274e-05 397: 7.5182e-06 400: 4.32377e-05 401: -6.17682e-06 402: 0.00019173 403: -2.20229e-20 480: 4.32377e-05 481: 6.17682e-06 647: -2.47073e-05 648: -3.00728e-05
Row 403: 55: 1.60936e-19 56: 0.00019173 72: -8.47033e-21 80: -0.00019173 392: -7.5182e-06 393: -3.7591e-06 396: 7.5182e-06 397: 3.7591e-06 400: -6.17682e-06 401: 3.08841e-06 402: -2.20229e-20 403: 2.05425e-05 480: 6.17682e-06 481: 3.08841e-06 647: -1.27055e-21 648: 1.27055e-20
Row 404: 36: -0.000184741 57: -0.000776588 58: -0.000776588 74: -0.000203553 288: 3.07902e-05 289: 4.3986e-06 290: 3.07902e-05 291: 4.3986e-06 404: 0.000129431 405: -1.35525e-20 408: 3.39255e-05 409: -4.8465e-06 414: 3.39255e-05 415: -4.8465e-06 594: -1.75944e-05 636: -1.9386e-05
Row 405: 36: 9.65618e-20 57: 0.000129431 58: -0.000129431 74: -1.69407e-21 288: -4.3986e-06 289: -2.1993e-06 290: 4.3986e-06 291: 2.1993e-06 404: -1.35525e-20 405: 1.38676e-05 408: -4.8465e-06 409: 2.42325e-06 414: 4.8465e-06 415: -2.42325e-06 594: 7.0939e-21 636: -1.05879e-21
Row 406: 35: -0.000233134 57: -0.000942065 73: -0.000942065 82: -0.000237899 282: 3.88557e-05 283: 5.55081e-06 284: 3.88557e-05 285: 5.55081e-06 406: 0.000157011 407: 3.64224e-20 410: 3.96498e-05 411: -5.66426e-06 482: 3.96498e-05 483: -5.66426e-06 630: -2.22032e-05 662: -2.2657e-05
Row 407: 35: -1.20279e-19 57: 0.000157011 73: -0.000157011 82: -1.25361e-19 282: -5.55081e-06 283: -2.7754e-06 284: 5.55081e-06 285: 2.7754e-06 406: 3.64224e-20 407: 1.68226e-05 410: -5.66426e-06 411: 2.83213e-06 482: 5.66426e-06 483: -2.83213e-06 630: -8.89385e-21 662: -9.95264e-21
Row 408: 57: -0.000941091 58: -0.000203553 74: -0.000941091 82: -0.000266993 404: 3.39255e-05 405: -4.8465e-06 408: 0.000156849 409: 1.56701e-20 410: 4.44988e-05 411: -6.35697e-06 414: 3.39255e-05 415: 4.8465e-06 488: 4.44988e-05 489: -6.35697e-06 636: -1.9386e-05 655: -2.54279e-05
Row 409: 57: 0.000156849 58: -1.11808e-19 74: -0.000156849 82: -3.38813e-21 404: -4.8465e-06 405: 2.42325e-06 408: 1.56701e-20 409: 1.68052e-05 410: -6.35697e-06 411: 3.17849e-06 414: 4.8465e-06 415: 2.42325e-06 488: 6.35697e-06 489: -3.17849e-06 636: -8.78797e-21 655: -1.27055e-21
Row 410: 57: -0.00100978 73: -0.000237899 74: -0.000266993 82: -0.00100978 406: 3.96498e-05 407: -5.66426e-06 408: 4.44988e-05 409: -6.35697e-06 410: 0.000168297 411: 1.99053e-20 482: 3.96498e-05 483: 5.66426e-06 488: 4.44988e-05 489: 6.35697e-06 655: -2.54279e-05 662: -2.2657e-05
Row 411: 57: 0.000168297 73: -6.77626e-21 74: -1.4569e-19 82: -0.000168297 406: -5.66426e-06 407: 2.83213e-06 408: -6.35697e-06 409: 3.17849e-06 410: 1.99053e-20 411: 1.80318e-05 482: 5.66426e-06 483: 2.83213e-06 488: 6.35697e-06 489: 3.17849e-06 655: -1.16467e-20 662: -1.48231e-21
Row 412: 37: -0.000209937 58: -0.000884216 59: -0.000884216 74: -0.000232171 292: 3.49895e-05 293: 4.99851e-06 294: 3.49895e-05 295: 4.99851e-06 412: 0.000147369 413: -1.69407e-20 414: 3.86951e-05 415: -5.52788e-06 416: 3.86951e-05 417: -5.52788e-06 596: -1.9994e-05 634: -2.21115e-05
Row 413: 37: 1.06726e-19 58: 0.000147369 59: -0.000147369 74: -5.0822e-21 292: -4.99851e-06 293: -2.49925e-06 294: 4.99851e-06 295: 2.49925e-06 412: -1.69407e-20 413: 1.57896e-05 414: -5.52788e-06 415: 2.76394e-06 416: 5.52788e-06 417: -2.76394e-06 596: 8.57621e-21 634: -1.05879e-21
Row 414: 57: -0.000203553 58: -0.000871448 59: -0.000232171 74: -0.000871448 404: 3.39255e-05 405: 4.8465e-06 408: 3.39255e-05 409: 4.8465e-06 412: 3.86951e-05 413: -5.52788e-06 414: 0.000145241 415: 3.38813e-20 416: 3.86951e-05 417: 5.52788e-06 634: -2.21115e-05 636: -1.9386e-05
Row 415: 57: -1.04185e-19 58: 0.000145241 59: -1.30443e-19 74: -0.000145241 404: -4.8465e-06 405: -2.42325e-06 408: 4.8465e-06 409: 2.42325e-06 412: -5.52788e-06 413: 2.76394e-06 414: 3.38813e-20 415: 1.55616e-05 416: 5.52788e-06 417: 2.76394e-06 634: -9.84676e-21 636: -7.6233e-21
Row 416: 38: -0.000264084 58: -0.000232171 59: -0.00099251 74: -0.00099251 298: 4.4014e-05 299: 6.28772e-06 302: 4.4014e-05 303: 6.28772e-06 412: 3.86951e-05 413: 5.52788e-06 414: 3.86951e-05 415: 5.52788e-06 416: 0.000165418 417: -1.69407e-21 634: -2.21115e-05 635: -2.51509e-05
Row 417: 38: 1.33831e-19 58: -1.21973e-19 59: 0.000165418 74: -0.000165418 298: -6.28772e-06 299: -3.14386e-06 302: 6.28772e-06 303: 3.14386e-06 412: -5.52788e-06 413: -2.76394e-06 414: 5.52788e-06 415: 2.76394e-06 416: -1.69407e-21 417: 1.77234e-05 634: -8.78797e-21 635: 1.01644e-20
Row 418: 39: -0.000190771 60: -0.000773829 61: -0.000773829 75: -0.000196143 306: 3.17952e-05 307: 4.54217e-06 308: 3.17952e-05 309: 4.54217e-06 418: 0.000128971 419: -1.43996e-20 422: 3.26906e-05 423: -4.67008e-06 426: 3.26906e-05 427: -4.67008e-06 603: -1.81687e-05 638: -1.86803e-05
Row 419: 39: 9.82558e-20 60: 0.000128971 61: -0.000128971 75: -3.38813e-21 306: -4.54217e-06 307: -2.27108e-06 308: 4.54217e-06 309: 2.27108e-06 418: -1.43996e-20 419: 1.38184e-05 422: -4.67008e-06 423: 2.33504e-06 426: 4.67008e-06 427: -2.33504e-06 603: 7.0939e-21 638: -8.47033e-22
Row 420: 38: -0.000216822 60: -0.000858638 74: -0.000858638 75: -0.000212497 300: 3.61369e-05 301: 5.16242e-06 302: 3.61369e-05 303: 5.16242e-06 420: 0.000143106 421: 3.30343e-20 422: 3.54162e-05 423: -5.05946e-06 486: 3.54162e-05 487: -5.05946e-06 654: -2.06497e-05 656: -2.02378e-05
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Row 423: 60: 0.000136214 61: -1.05032e-19 74: -3.38813e-21 75: -0.000136214 418: -4.67008e-06 419: 2.33504e-06 420: -5.05946e-06 421: 2.52973e-06 422: 1.43996e-20 423: 1.45943e-05 426: 4.67008e-06 427: 2.33504e-06 486: 5.05946e-06 487: 2.52973e-06 638: -8.47033e-21 656: -1.05879e-21
Row 424: 40: -0.000236168 61: -0.000964311 62: -0.000964311 79: -0.000245987 312: 3.93614e-05 313: 5.62305e-06 314: 3.93614e-05 315: 5.62305e-06 424: 0.000160718 425: -1.99053e-20 428: 4.09979e-05 429: -5.85684e-06 434: 4.09979e-05 435: -5.85684e-06 605: -2.24922e-05 644: -2.34274e-05
Row 425: 40: 1.18585e-19 61: 0.000160718 62: -0.000160718 79: -6.77626e-21 312: -5.62305e-06 313: -2.81153e-06 314: 5.62305e-06 315: 2.81153e-06 424: -1.99053e-20 425: 1.72198e-05 428: -5.85684e-06 429: 2.92842e-06 434: 5.85684e-06 435: -2.92842e-06 605: 9.1056e-21 644: -1.27055e-21
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Row 429: 61: 0.000164243 62: -1.37219e-19 75: -8.47033e-21 79: -0.000164243 424: -5.85684e-06 425: 2.92842e-06 426: -5.87481e-06 427: 2.9374e-06 428: 1.94818e-20 429: 1.75975e-05 434: 5.85684e-06 435: 2.92842e-06 490: 5.87481e-06 491: 2.9374e-06 644: -1.0482e-20 645: -1.05879e-21
Row 430: 41: -0.000242732 62: -0.00105445 63: -0.00105445 65: -0.000284495 318: 4.04553e-05 319: 5.77933e-06 320: 4.04553e-05 321: 5.77933e-06 430: 0.000175742 431: -1.86347e-20 432: 4.74158e-05 433: -6.77369e-06 436: 4.74158e-05 437: -6.77369e-06 607: -2.31173e-05 637: -2.70947e-05
Row 431: 41: 1.21973e-19 62: 0.000175742 63: -0.000175742 65: -1.35525e-20 318: -5.77933e-06 319: -2.88967e-06 320: 5.77933e-06 321: 2.88967e-06 430: -1.86347e-20 431: 1.88295e-05 432: -6.77369e-06 433: 3.38684e-06 436: 6.77369e-06 437: -3.38684e-06 607: 9.52912e-21 637: -8.47033e-22
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Row 433: 62: 0.000199404 63: -1.49078e-19 65: -0.000199404 79: -6.77626e-21 430: -6.77369e-06 431: 3.38684e-06 432: 2.20229e-20 433: 2.13647e-05 434: -7.46944e-06 435: 3.73472e-06 436: 6.77369e-06 437: 3.38684e-06 448: 7.46944e-06 449: -3.73472e-06 637: -1.2282e-20 646: -1.27055e-21
Row 434: 61: -0.000245987 62: -0.00111941 65: -0.000313716 79: -0.00111941 424: 4.09979e-05 425: 5.85684e-06 428: 4.09979e-05 429: 5.85684e-06 432: 5.22861e-05 433: -7.46944e-06 434: 0.000186568 435: 4.40457e-20 448: 5.22861e-05 449: 7.46944e-06 644: -2.34274e-05 646: -2.98777e-05
Row 435: 61: -1.28749e-19 62: 0.000186568 65: -1.69407e-19 79: -0.000186568 424: -5.85684e-06 425: -2.92842e-06 428: 5.85684e-06 429: 2.92842e-06 432: -7.46944e-06 433: 3.73472e-06 434: 4.40457e-20 435: 1.99894e-05 448: 7.46944e-06 449: 3.73472e-06 644: -9.42324e-21 646: -1.33408e-20
Row 436: 44: -0.000292673 62: -0.000284495 63: -0.00115433 65: -0.00115433 332: 4.87788e-05 333: 6.96839e-06 334: 4.87788e-05 335: 6.96839e-06 430: 4.74158e-05 431: 6.77369e-06 432: 4.74158e-05 433: 6.77369e-06 436: 0.000192389 437: -1.69407e-21 631: -2.78736e-05 637: -2.70947e-05
Row 437: 44: 1.49078e-19 62: -1.43996e-19 63: 0.000192389 65: -0.000192389 332: -6.96839e-06 333: -3.4842e-06 334: 6.96839e-06 335: 3.4842e-06 430: -6.77369e-06 431: -3.38684e-06 432: 6.77369e-06 433: 3.38684e-06 436: -1.69407e-21 437: 2.06131e-05 631: 1.20702e-20 637: -1.18585e-20
Row 438: 45: -0.000309633 64: -0.00125179 65: -0.00125179 78: -0.000316264 338: 5.16054e-05 339: 7.3722e-06 340: 5.16054e-05 341: 7.3722e-06 438: 0.000208632 439: 4.65868e-20 444: 5.27107e-05 445: -7.53011e-06 446: 5.27107e-05 447: -7.53011e-06 611: -2.94888e-05 642: -3.01204e-05
Row 439: 45: -1.59242e-19 64: 0.000208632 65: -0.000208632 78: -1.69407e-19 338: -7.3722e-06 339: -3.6861e-06 340: 7.3722e-06 341: 3.6861e-06 438: 4.65868e-20 439: 2.23535e-05 444: -7.53011e-06 445: 3.76505e-06 446: 7.53011e-06 447: -3.76505e-06 611: -1.20702e-20 642: -1.35525e-20
Row 440: 46: -0.000246382 64: -0.00100057 66: -0.00100057 77: -0.000253902 344: 4.10636e-05 345: 5.86623e-06 346: 4.10636e-05 347: 5.86623e-06 440: 0.000166761 441: -1.99053e-20 442: 4.2317e-05 443: -6.04528e-06 454: 4.2317e-05 455: -6.04528e-06 614: -2.34649e-05 640: -2.41811e-05
Row 441: 46: 1.27055e-19 64: 0.000166761 66: -0.000166761 77: -8.47033e-21 344: -5.86623e-06 345: -2.93312e-06 346: 5.86623e-06 347: 2.93312e-06 440: -1.99053e-20 441: 1.78673e-05 442: -6.04528e-06 443: 3.02264e-06 454: 6.04528e-06 455: -3.02264e-06 614: 9.74088e-21 640: -1.27055e-21
Row 442: 64: -0.00104776 66: -0.000253902 77: -0.00104776 78: -0.000269977 440: 4.2317e-05 441: -6.04528e-06 442: 0.000174626 443: 1.86347e-20 444: 4.49962e-05 445: -6.42803e-06 454: 4.2317e-05 455: 6.04528e-06 500: 4.49962e-05 501: -6.42803e-06 640: -2.41811e-05 643: -2.57121e-05
Row 443: 64: 0.000174626 66: -1.38913e-19 77: -0.000174626 78: -6.77626e-21 440: -6.04528e-06 441: 3.02264e-06 442: 1.86347e-20 443: 1.871e-05 444: -6.42803e-06 445: 3.21402e-06 454: 6.04528e-06 455: 3.02264e-06 500: 6.42803e-06 501: -3.21402e-06 640: -1.07997e-20 643: -8.47033e-22
Row 444: 64: -0.00117248 65: -0.000316264 77: -0.000269977 78: -0.00117248 438: 5.27107e-05 439: -7.53011e-06 442: 4.49962e-05 443: -6.42803e-06 444: 0.000195414 445: 2.11758e-20 446: 5.27107e-05 447: 7.53011e-06 500: 4.49962e-05 501: 6.42803e-06 642: -3.01204e-05 643: -2.57121e-05
Row 445: 64: 0.000195414 65: -1.01644e-20 77: -1.47384e-19 78: -0.000195414 438: -7.53011e-06 439: 3.76505e-06 442: -6.42803e-06 443: 3.21402e-06 444: 2.11758e-20 445: 2.09372e-05 446: 7.53011e-06 447: 3.76505e-06 500: 6.42803e-06 501: 3.21402e-06 642: -1.27055e-21 643: -1.12232e-20
Row 446: 64: -0.000316264 65: -0.00126301 78: -0.00126301 79: -0.00031524 438: 5.27107e-05 439: 7.53011e-06 444: 5.27107e-05 445: 7.53011e-06 446: 0.000210501 447: -2.03288e-20 448: 5.25399e-05 449: -7.5057e-06 506: 5.25399e-05 507: -7.5057e-06 642: -3.01204e-05 653: -3.00228e-05
Row 447: 64: 1.57548e-19 65: 0.000210501 78: -0.000210501 79: -6.77626e-21 438: -7.53011e-06 439: -3.76505e-06 444: 7.53011e-06 445: 3.76505e-06 446: -2.03288e-20 447: 2.25537e-05 448: -7.5057e-06 449: 3.75285e-06 506: 7.5057e-06 507: -3.75285e-06 642: 1.2282e-20 653: -1.69407e-21
Row 448: 62: -0.000313716 65: -0.00125791 78: -0.00031524 79: -0.00125791 432: 5.22861e-05 433: 7.46944e-06 434: 5.22861e-05 435: 7.46944e-06 446: 5.25399e-05 447: -7.5057e-06 448: 0.000209652 449: 4.57398e-20 506: 5.25399e-05 507: 7.5057e-06 646: -2.98777e-05 653: -3.00228e-05
Row 449: 62: -1.59242e-19 65: 0.000209652 78: -1.74489e-19 79: -0.000209652 432: -7.46944e-06 433: -3.73472e-06 434: 7.46944e-06 435: 3.73472e-06 446: -7.5057e-06 447: 3.75285e-06 448: 4.57398e-20 449: 2.24627e-05 506: 7.5057e-06 507: 3.75285e-06 646: -1.2282e-20 653: -1.37643e-20
Row 450: 47: -0.000202388 66: -0.000820204 67: -0.000820204 76: -0.000207714 350: 3.37314e-05 351: 4.81877e-06 352: 3.37314e-05 353: 4.81877e-06 450: 0.000136701 451: -1.56701e-20 452: 3.4619e-05 453: -4.94557e-06 460: 3.4619e-05 461: -4.94557e-06 616: -1.92751e-05 639: -1.97823e-05
Row 451: 47: 1.04185e-19 66: 0.000136701 67: -0.000136701 76: -5.0822e-21 350: -4.81877e-06 351: -2.40938e-06 352: 4.81877e-06 353: 2.40938e-06 450: -1.56701e-20 451: 1.46465e-05 452: -4.94557e-06 453: 2.47278e-06 460: 4.94557e-06 461: -2.47278e-06 616: 7.83505e-21 639: -8.47033e-22
Row 452: 66: -0.000879731 67: -0.000207714 76: -0.000879731 77: -0.000232152 450: 3.4619e-05 451: -4.94557e-06 452: 0.000146622 453: 1.65171e-20 454: 3.8692e-05 455: -5.52742e-06 460: 3.4619e-05 461: 4.94557e-06 496: 3.8692e-05 497: -5.52742e-06 639: -1.97823e-05 641: -2.21097e-05
Row 453: 66: 0.000146622 67: -1.11808e-19 76: -0.000146622 77: -3.38813e-21 450: -4.94557e-06 451: 2.47278e-06 452: 1.65171e-20 453: 1.57095e-05 454: -5.52742e-06 455: 2.76371e-06 460: 4.94557e-06 461: 2.47278e-06 496: 5.52742e-06 497: -2.76371e-06 639: -8.78797e-21 641: -1.05879e-21
Row 454: 64: -0.000253902 66: -0.000972108 76: -0.000232152 77: -0.000972108 440: 4.2317e-05 441: 6.04528e-06 442: 4.2317e-05 443: 6.04528e-06 452: 3.8692e-05 453: -5.52742e-06 454: 0.000162018 455: 3.72694e-20 496: 3.8692e-05 497: 5.52742e-06 640: -2.41811e-05 641: -2.21097e-05
Row 455: 64: -1.30443e-19 66: 0.000162018 76: -1.30443e-19 77: -0.000162018 440: -6.04528e-06 441: -3.02264e-06 442: 6.04528e-06 443: 3.02264e-06 452: -5.52742e-06 453: 2.76371e-06 454: 3.72694e-20 455: 1.73591e-05 496: 5.52742e-06 497: 2.76371e-06 640: -9.95264e-21 641: -9.95264e-21
Row 456: 48: -0.000152803 67: -0.000613356 68: -0.000613356 70: -0.000153876 356: 2.54671e-05 357: 3.63816e-06 358: 2.54671e-05 359: 3.63816e-06 456: 0.000102226 457: -1.10114e-20 458: 2.56459e-05 459: -3.6637e-06 462: 2.56459e-05 463: -3.6637e-06 618: -1.45526e-05 649: -1.46548e-05
Row 457: 48: 7.708e-20 67: 0.000102226 68: -0.000102226 70: -5.0822e-21 356: -3.63816e-06 357: -1.81908e-06 358: 3.63816e-06 359: 1.81908e-06 456: -1.10114e-20 457: 1.09528e-05 458: -3.6637e-06 459: 1.83185e-06 462: 3.6637e-06 463: -1.83185e-06 618: 6.14099e-21 649: -4.23516e-22
Row 458: 67: -0.000697562 68: -0.000153876 70: -0.000697562 76: -0.000194905 456: 2.56459e-05 457: -3.6637e-06 458: 0.00011626 459: 1.2282e-20 460: 3.24842e-05 461: -4.6406e-06 462: 2.56459e-05 463: 3.6637e-06 472: 3.24842e-05 473: -4.6406e-06 649: -1.46548e-05 652: -1.85624e-05
Row 459: 67: 0.00011626 68: -8.21622e-20 70: -0.00011626 76: -6.77626e-21 456: -3.6637e-06 457: 1.83185e-06 458: 1.2282e-20 459: 1.24565e-05 460: -4.6406e-06 461: 2.3203e-06 462: 3.6637e-06 463: 1.83185e-06 472: 4.6406e-06 473: -2.3203e-06 649: -6.77626e-21 652: -1.05879e-21
Row 460: 66: -0.000207714 67: -0.000805238 70: -0.000194905 76: -0.000805238 450: 3.4619e-05 451: 4.94557e-06 452: 3.4619e-05 453: 4.94557e-06 458: 3.24842e-05 459: -4.6406e-06 460: 0.000134206 461: 3.04932e-20 472: 3.24842e-05 473: 4.6406e-06 639: -1.97823e-05 652: -1.85624e-05
Row 461: 66: -1.05879e-19 67: 0.000134206 70: -1.06726e-19 76: -0.000134206 450: -4.94557e-06 451: -2.47278e-06 452: 4.94557e-06 453: 2.47278e-06 458: -4.6406e-06 459: 2.3203e-06 460: 3.04932e-20 461: 1.43793e-05 472: 4.6406e-06 473: 2.3203e-06 639: -7.94093e-21 652: -8.36445e-21
Row 462: 50: -0.00014749 67: -0.000153876 68: -0.00060273 70: -0.00060273 366: 2.45816e-05 367: 3.51166e-06 368: 2.45816e-05 369: 3.51166e-06 456: 2.56459e-05 457: 3.6637e-06 458: 2.56459e-05 459: 3.6637e-06 462: 0.000100455 463: 0 622: -1.40466e-05 649: -1.46548e-05
Row 463: 50: 7.53859e-20 67: -7.708e-20 68: 0.000100455 70: -0.000100455 366: -3.51166e-06 367: -1.75583e-06 368: 3.51166e-06 369: 1.75583e-06 456: -3.6637e-06 457: -1.83185e-06 458: 3.6637e-06 459: 1.83185e-06 462: 0 463: 1.0763e-05 622: 5.92923e-21 649: -6.03511e-21
Row 464: 51: -0.00019466 69: -0.000799554 70: -0.000799554 76: -0.000205117 372: 3.24433e-05 373: 4.63476e-06 374: 3.24433e-05 375: 4.63476e-06 464: 0.000133259 465: 3.13402e-20 468: 3.41862e-05 469: -4.88374e-06 472: 3.41862e-05 473: -4.88374e-06 623: -1.8539e-05 660: -1.9535e-05
Row 465: 51: -9.91029e-20 69: 0.000133259 70: -0.000133259 76: -1.13502e-19 372: -4.63476e-06 373: -2.31738e-06 374: 4.63476e-06 375: 2.31738e-06 464: 3.13402e-20 465: 1.42777e-05 468: -4.88374e-06 469: 2.44187e-06 472: 4.88374e-06 473: -2.44187e-06 623: -7.41154e-21 660: -8.78797e-21
Row 466: 52: -0.000219156 69: -0.000902182 71: -0.000902182 81: -0.000231935 378: 3.6526e-05 379: 5.218e-06 380: 3.6526e-05 381: 5.218e-06 466: 0.000150364 467: -1.65171e-20 470: 3.86558e-05 471: -5.52226e-06 478: 3.86558e-05 479: -5.52226e-06 625: -2.0872e-05 651: -2.2089e-05
Row 467: 52: 1.11808e-19 69: 0.000150364 71: -0.000150364 81: -8.47033e-21 378: -5.218e-06 379: -2.609e-06 380: 5.218e-06 381: 2.609e-06 466: -1.65171e-20 467: 1.61104e-05 470: -5.52226e-06 471: 2.76113e-06 478: 5.52226e-06 479: -2.76113e-06 625: 8.47033e-21 651: -1.05879e-21
Row 468: 69: -0.000870728 70: -0.000205117 76: -0.000870728 81: -0.000230247 464: 3.41862e-05 465: -4.88374e-06 468: 0.000145121 469: 1.77877e-20 470: 3.83745e-05 471: -5.48207e-06 472: 3.41862e-05 473: 4.88374e-06 498: 3.83745e-05 499: -5.48207e-06 660: -1.9535e-05 661: -2.19283e-05
Row 469: 69: 0.000145121 70: -3.38813e-21 76: -0.000145121 81: -1.25361e-19 464: -4.88374e-06 465: 2.44187e-06 468: 1.77877e-20 469: 1.55487e-05 470: -5.48207e-06 471: 2.74103e-06 472: 4.88374e-06 473: 2.44187e-06 498: 5.48207e-06 499: -2.74103e-06 660: -8.47033e-22 661: -1.02703e-20
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Row 471: 69: 0.000154061 71: -1.23667e-19 76: -6.77626e-21 81: -0.000154061 466: -5.52226e-06 467: 2.76113e-06 468: -5.48207e-06 469: 2.74103e-06 470: 1.82112e-20 471: 1.65065e-05 478: 5.52226e-06 479: 2.76113e-06 498: 5.48207e-06 499: 2.74103e-06 651: -1.01644e-20 661: -1.27055e-21
Row 472: 67: -0.000194905 69: -0.000205117 70: -0.000800045 76: -0.000800045 458: 3.24842e-05 459: 4.6406e-06 460: 3.24842e-05 461: 4.6406e-06 464: 3.41862e-05 465: 4.88374e-06 468: 3.41862e-05 469: 4.88374e-06 472: 0.000133341 473: -1.69407e-21 652: -1.85624e-05 660: -1.9535e-05
Row 473: 67: -9.82558e-20 69: 1.02491e-19 70: 0.000133341 76: -0.000133341 458: -4.6406e-06 459: -2.3203e-06 460: 4.6406e-06 461: 2.3203e-06 464: -4.88374e-06 465: -2.44187e-06 468: 4.88374e-06 469: 2.44187e-06 472: -1.69407e-21 473: 1.42865e-05 652: -7.19978e-21 660: 8.36445e-21
Row 474: 53: -0.000210819 71: -0.000918722 72: -0.000918722 80: -0.000248542 384: 3.51365e-05 385: 5.0195e-06 386: 3.51365e-05 387: 5.0195e-06 474: 0.00015312 475: -1.60936e-20 476: 4.14237e-05 477: -5.91767e-06 480: 4.14237e-05 481: -5.91767e-06 627: -2.0078e-05 650: -2.36707e-05
Row 475: 53: 1.0842e-19 71: 0.00015312 72: -0.00015312 80: -3.38813e-21 384: -5.0195e-06 385: -2.50975e-06 386: 5.0195e-06 387: 2.50975e-06 474: -1.60936e-20 475: 1.64058e-05 476: -5.91767e-06 477: 2.95883e-06 480: 5.91767e-06 481: -2.95883e-06 627: 8.15269e-21 650: -1.05879e-21
Row 476: 71: -0.00107586 72: -0.000248542 80: -0.00107586 81: -0.00028939 474: 4.14237e-05 475: -5.91767e-06 476: 0.000179311 477: 1.94818e-20 478: 4.82317e-05 479: -6.89025e-06 480: 4.14237e-05 481: 5.91767e-06 514: 4.82317e-05 515: -6.89025e-06 650: -2.36707e-05 659: -2.7561e-05
Row 477: 71: 0.000179311 72: -1.33831e-19 80: -0.000179311 81: -6.77626e-21 474: -5.91767e-06 475: 2.95883e-06 476: 1.94818e-20 477: 1.92119e-05 478: -6.89025e-06 479: 3.44512e-06 480: 5.91767e-06 481: 2.95883e-06 514: 6.89025e-06 515: -3.44512e-06 650: -1.05879e-20 659: -1.27055e-21
Row 478: 69: -0.000231935 71: -0.00104265 80: -0.00028939 81: -0.00104265 466: 3.86558e-05 467: 5.52226e-06 470: 3.86558e-05 471: 5.52226e-06 476: 4.82317e-05 477: -6.89025e-06 478: 0.000173775 479: 3.98105e-20 514: 4.82317e-05 515: 6.89025e-06 651: -2.2089e-05 659: -2.7561e-05
Row 479: 69: -1.16891e-19 71: 0.000173775 80: -1.57548e-19 81: -0.000173775 466: -5.52226e-06 467: -2.76113e-06 470: 5.52226e-06 471: 2.76113e-06 476: -6.89025e-06 477: 3.44512e-06 478: 3.98105e-20 479: 1.86188e-05 514: 6.89025e-06 515: 3.44512e-06 651: -9.31736e-21 659: -1.2282e-20
Row 480: 56: -0.000259426 71: -0.000248542 72: -0.00101594 80: -0.00101594 400: 4.32377e-05 401: 6.17682e-06 402: 4.32377e-05 403: 6.17682e-06 474: 4.14237e-05 475: 5.91767e-06 476: 4.14237e-05 477: 5.91767e-06 480: 0.000169323 481: -1.69407e-21 647: -2.47073e-05 650: -2.36707e-05
Row 481: 56: 1.30443e-19 71: -1.27055e-19 72: 0.000169323 80: -0.000169323 400: -6.17682e-06 401: -3.08841e-06 402: 6.17682e-06 403: 3.08841e-06 474: -5.91767e-06 475: -2.95883e-06 476: 5.91767e-06 477: 2.95883e-06 480: -1.69407e-21 481: 1.81417e-05 647: 1.03762e-20 650: -9.74088e-21
Row 482: 57: -0.000237899 73: -0.00101058 82: -0.00101058 83: -0.000267389 406: 3.96498e-05 407: 5.66426e-06 410: 3.96498e-05 411: 5.66426e-06 482: 0.000168429 483: -1.86347e-20 484: 4.45649e-05 485: -6.36642e-06 522: 4.45649e-05 523: -6.36642e-06 548: -2.54657e-05 662: -2.2657e-05
Row 483: 57: 1.21973e-19 73: 0.000168429 82: -0.000168429 83: -6.77626e-21 406: -5.66426e-06 407: -2.83213e-06 410: 5.66426e-06 411: 2.83213e-06 482: -1.86347e-20 483: 1.8046e-05 484: -6.36642e-06 485: 3.18321e-06 522: 6.36642e-06 523: -3.18321e-06 548: -1.27055e-21 662: 9.31736e-21
Row 484: 55: -0.000272314 73: -0.00107941 82: -0.000267389 83: -0.00107941 394: 4.53857e-05 395: 6.48367e-06 398: 4.53857e-05 399: 6.48367e-06 482: 4.45649e-05 483: -6.36642e-06 484: 0.000179901 485: 4.06576e-20 522: 4.45649e-05 523: 6.36642e-06 548: -2.54657e-05 658: -2.59347e-05
Row 485: 55: -1.4569e-19 73: 0.000179901 82: -1.47384e-19 83: -0.000179901 394: -6.48367e-06 395: -3.24183e-06 398: 6.48367e-06 399: 3.24183e-06 482: -6.36642e-06 483: 3.18321e-06 484: 4.06576e-20 485: 1.92751e-05 522: 6.36642e-06 523: 3.18321e-06 548: -1.16467e-20 658: -1.05879e-20
Row 486: 60: -0.000212497 74: -0.000974139 75: -0.000974139 82: -0.000274572 420: 3.54162e-05 421: 5.05946e-06 422: 3.54162e-05 423: 5.05946e-06 486: 0.000162357 487: -1.65171e-20 488: 4.5762e-05 489: -6.53744e-06 492: 4.5762e-05 493: -6.53744e-06 656: -2.02378e-05 665: -2.61497e-05
Row 487: 60: 1.06726e-19 74: 0.000162357 75: -0.000162357 82: -6.77626e-21 420: -5.05946e-06 421: -2.52973e-06 422: 5.05946e-06 423: 2.52973e-06 486: -1.65171e-20 487: 1.73953e-05 488: -6.53744e-06 489: 3.26872e-06 492: 6.53744e-06 493: -3.26872e-06 656: 8.15269e-21 665: -1.27055e-21
Row 488: 57: -0.000266993 74: -0.00108313 75: -0.000274572 82: -0.00108313 408: 4.44988e-05 409: 6.35697e-06 410: 4.44988e-05 411: 6.35697e-06 486: 4.5762e-05 487: -6.53744e-06 488: 0.000180522 489: 4.15046e-20 492: 4.5762e-05 493: 6.53744e-06 655: -2.54279e-05 665: -2.61497e-05
Row 489: 57: -1.35525e-19 74: 0.000180522 75: -1.49078e-19 82: -0.000180522 408: -6.35697e-06 409: -3.17849e-06 410: 6.35697e-06 411: 3.17849e-06 486: -6.53744e-06 487: 3.26872e-06 488: 4.15046e-20 489: 1.93416e-05 492: 6.53744e-06 493: 3.26872e-06 655: -1.07997e-20 665: -1.19643e-20
Row 490: 61: -0.000246742 75: -0.0010072 79: -0.0010072 85: -0.000256858 426: 4.11236e-05 427: 5.87481e-06 428: 4.11236e-05 429: 5.87481e-06 490: 0.000167867 491: -2.20229e-20 494: 4.28097e-05 495: -6.11567e-06 512: 4.28097e-05 513: -6.11567e-06 645: -2.34992e-05 666: -2.44627e-05
Row 491: 61: 1.27055e-19 75: 0.000167867 79: -0.000167867 85: -5.0822e-21 426: -5.87481e-06 427: -2.9374e-06 428: 5.87481e-06 429: 2.9374e-06 490: -2.20229e-20 491: 1.79857e-05 494: -6.11567e-06 495: 3.05784e-06 512: 6.11567e-06 513: -3.05784e-06 645: 9.74088e-21 666: -1.27055e-21
Row 492: 74: -0.000274572 75: -0.00104523 82: -0.00104523 85: -0.000248042 486: 4.5762e-05 487: 6.53744e-06 488: 4.5762e-05 489: 6.53744e-06 492: 0.000174205 493: 4.06576e-20 494: 4.13403e-05 495: -5.90576e-06 524: 4.13403e-05 525: -5.90576e-06 665: -2.61497e-05 667: -2.3623e-05
Row 493: 74: -1.40607e-19 75: 0.000174205 82: -0.000174205 85: -1.35525e-19 486: -6.53744e-06 487: -3.26872e-06 488: 6.53744e-06 489: 3.26872e-06 492: 4.06576e-20 493: 1.86648e-05 494: -5.90576e-06 495: 2.95288e-06 524: 5.90576e-06 525: -2.95288e-06 665: -1.10114e-20 667: -1.06938e-20
Row 494: 75: -0.0010098 79: -0.000256858 82: -0.000248042 85: -0.0010098 490: 4.28097e-05 491: -6.11567e-06 492: 4.13403e-05 493: -5.90576e-06 494: 0.0001683 495: 1.94818e-20 512: 4.28097e-05 513: 6.11567e-06 524: 4.13403e-05 525: 5.90576e-06 666: -2.44627e-05 667: -2.3623e-05
Row 495: 75: 0.0001683 79: -1.38913e-19 82: -6.77626e-21 85: -0.0001683 490: -6.11567e-06 491: 3.05784e-06 492: -5.90576e-06 493: 2.95288e-06 494: 1.94818e-20 495: 1.80321e-05 512: 6.11567e-06 513: 3.05784e-06 524: 5.90576e-06 525: 2.95288e-06 666: -1.10114e-20 667: -1.05879e-21
Row 496: 66: -0.000232152 76: -0.000948975 77: -0.000948975 81: -0.000242336 452: 3.8692e-05 453: 5.52742e-06 454: 3.8692e-05 455: 5.52742e-06 496: 0.000158162 497: 3.72694e-20 498: 4.03893e-05 499: -5.7699e-06 502: 4.03893e-05 503: -5.7699e-06 641: -2.21097e-05 663: -2.30796e-05
Row 497: 66: -1.18585e-19 76: 0.000158162 77: -0.000158162 81: -1.30443e-19 452: -5.52742e-06 453: -2.76371e-06 454: 5.52742e-06 455: 2.76371e-06 496: 3.72694e-20 497: 1.6946e-05 498: -5.7699e-06 499: 2.88495e-06 502: 5.7699e-06 503: -2.88495e-06 641: -9.21148e-21 663: -1.05879e-20
Row 498: 69: -0.000230247 76: -0.000945165 77: -0.000242336 81: -0.000945165 468: 3.83745e-05 469: 5.48207e-06 470: 3.83745e-05 471: 5.48207e-06 496: 4.03893e-05 497: -5.7699e-06 498: 0.000157527 499: -1.65171e-20 502: 4.03893e-05 503: 5.7699e-06 661: -2.19283e-05 663: -2.30796e-05
Row 499: 69: 1.18585e-19 76: 0.000157527 77: -6.77626e-21 81: -0.000157527 468: -5.48207e-06 469: -2.74103e-06 470: 5.48207e-06 471: 2.74103e-06 496: -5.7699e-06 497: 2.88495e-06 498: -1.65171e-20 499: 1.68779e-05 502: 5.7699e-06 503: 2.88495e-06 661: 9.21148e-21 663: -1.27055e-21
Row 500: 64: -0.000269977 77: -0.00109324 78: -0.00109324 84: -0.000276644 442: 4.49962e-05 443: 6.42803e-06 444: 4.49962e-05 445: 6.42803e-06 500: 0.000182207 501: 4.31987e-20 504: 4.61073e-05 505: -6.58676e-06 508: 4.61073e-05 509: -6.58676e-06 643: -2.57121e-05 669: -2.6347e-05
Row 501: 64: -1.38913e-19 77: 0.000182207 78: -0.000182207 84: -1.52466e-19 442: -6.42803e-06 443: -3.21402e-06 444: 6.42803e-06 445: 3.21402e-06 500: 4.31987e-20 501: 1.95222e-05 504: -6.58676e-06 505: 3.29338e-06 508: 6.58676e-06 509: -3.29338e-06 643: -1.03762e-20 669: -1.21761e-20
Row 502: 76: -0.000242336 77: -0.00101108 81: -0.00101108 84: -0.000263203 496: 4.03893e-05 497: 5.7699e-06 498: 4.03893e-05 499: 5.7699e-06 502: 0.000168513 503: -1.86347e-20 504: 4.38671e-05 505: -6.26674e-06 520: 4.38671e-05 521: -6.26674e-06 663: -2.30796e-05 664: -2.50669e-05
Row 503: 76: 1.23667e-19 77: 0.000168513 81: -0.000168513 84: -6.77626e-21 496: -5.7699e-06 497: -2.88495e-06 498: 5.7699e-06 499: 2.88495e-06 502: -1.86347e-20 503: 1.80549e-05 504: -6.26674e-06 505: 3.13337e-06 520: 6.26674e-06 521: -3.13337e-06 663: 9.84676e-21 664: -8.47033e-22
Row 504: 77: -0.00107969 78: -0.000276644 81: -0.000263203 84: -0.00107969 500: 4.61073e-05 501: -6.58676e-06 502: 4.38671e-05 503: -6.26674e-06 504: 0.000179949 505: 1.94818e-20 508: 4.61073e-05 509: 6.58676e-06 520: 4.38671e-05 521: 6.26674e-06 664: -2.50669e-05 669: -2.6347e-05
Row 505: 77: 0.000179949 78: -1.01644e-20 81: -1.43996e-19 84: -0.000179949 500: -6.58676e-06 501: 3.29338e-06 502: -6.26674e-06 503: 3.13337e-06 504: 1.94818e-20 505: 1.92802e-05 508: 6.58676e-06 509: 3.29338e-06 520: 6.26674e-06 521: 3.13337e-06 664: -1.14349e-20 669: -1.27055e-21
Row 506: 65: -0.00031524 78: -0.00117378 79: -0.00117378 85: -0.000271652 446: 5.25399e-05 447: 7.5057e-06 448: 5.25399e-05 449: 7.5057e-06 506: 0.00019563 507: 4.65868e-20 510: 4.52753e-05 511: -6.4679e-06 512: 4.52753e-05 513: -6.4679e-06 653: -3.00228e-05 668: -2.58716e-05
Row 507: 65: -1.64324e-19 78: 0.00019563 79: -0.00019563 85: -1.47384e-19 446: -7.5057e-06 447: -3.75285e-06 448: 7.5057e-06 449: 3.75285e-06 506: 4.65868e-20 507: 2.09604e-05 510: -6.4679e-06 511: 3.23395e-06 512: 6.4679e-06 513: -3.23395e-06 653: -1.29173e-20 668: -1.16467e-20
Row 508: 77: -0.000276644 78: -0.00111199 84: -0.00111199 85: -0.00027935 500: 4.61073e-05 501: 6.58676e-06 504: 4.61073e-05 505: 6.58676e-06 508: 0.000185331 509: -2.03288e-20 510: 4.65583e-05 511: -6.65118e-06 530: 4.65583e-05 531: -6.65118e-06 547: -2.66047e-05 669: -2.6347e-05
Row 509: 77: 1.38913e-19 78: 0.000185331 84: -0.000185331 85: -6.77626e-21 500: -6.58676e-06 501: -3.29338e-06 504: 6.58676e-06 505: 3.29338e-06 508: -2.03288e-20 509: 1.98569e-05 510: -6.65118e-06 511: 3.32559e-06 530: 6.65118e-06 531: -3.32559e-06 547: -1.27055e-21 669: 1.07997e-20
Row 510: 78: -0.001102 79: -0.000271652 84: -0.00027935 85: -0.001102 506: 4.52753e-05 507: -6.4679e-06 508: 4.65583e-05 509: -6.65118e-06 510: 0.000183667 511: 2.24464e-20 512: 4.52753e-05 513: 6.4679e-06 530: 4.65583e-05 531: 6.65118e-06 547: -2.66047e-05 668: -2.58716e-05
Row 511: 78: 0.000183667 79: -1.69407e-21 84: -1.52466e-19 85: -0.000183667 506: -6.4679e-06 507: 3.23395e-06 508: -6.65118e-06 509: 3.32559e-06 510: 2.24464e-20 511: 1.96786e-05 512: 6.4679e-06 513: 3.23395e-06 530: 6.65118e-06 531: 3.32559e-06 547: -1.20702e-20 668: -1.27055e-21
Row 512: 75: -0.000256858 78: -0.000271652 79: -0.00105702 85: -0.00105702 490: 4.28097e-05 491: 6.11567e-06 494: 4.28097e-05 495: 6.11567e-06 506: 4.52753e-05 507: 6.4679e-06 510: 4.52753e-05 511: 6.4679e-06 512: 0.00017617 513: -3.38813e-21 666: -2.44627e-05 668: -2.58716e-05
Row 513: 75: -1.30443e-19 78: 1.38913e-19 79: 0.00017617 85: -0.00017617 490: -6.11567e-06 491: -3.05784e-06 494: 6.11567e-06 495: 3.05784e-06 506: -6.4679e-06 507: -3.23395e-06 510: 6.4679e-06 511: 3.23395e-06 512: -3.38813e-21 513: 1.88754e-05 666: -9.95264e-21 668: 1.07997e-20
Row 514: 71: -0.00028939 80: -0.00119729 81: -0.00119729 84: -0.000309256 476: 4.82317e-05 477: 6.89025e-06 478: 4.82317e-05 479: 6.89025e-06 514: 0.000199549 515: 4.31987e-20 518: 5.15426e-05 519: -7.36323e-06 520: 5.15426e-05 521: -7.36323e-06 546: -2.94529e-05 659: -2.7561e-05
Row 515: 71: -1.49078e-19 80: 0.000199549 81: -0.000199549 84: -1.69407e-19 476: -6.89025e-06 477: -3.44512e-06 478: 6.89025e-06 479: 3.44512e-06 514: 4.31987e-20 515: 2.13802e-05 518: -7.36323e-06 519: 3.68162e-06 520: 7.36323e-06 521: -3.68162e-06 546: -1.35525e-20 659: -1.14349e-20
Row 516: 55: -0.000315033 80: -0.00125469 83: -0.00125469 84: -0.00031231 396: 5.25055e-05 397: 7.50079e-06 398: 5.25055e-05 399: 7.50079e-06 516: 0.000209114 517: -2.20229e-20 518: 5.20517e-05 519: -7.43596e-06 526: 5.20517e-05 527: -7.43596e-06 601: -2.97438e-05 657: -3.00032e-05
Row 517: 55: 1.59242e-19 80: 0.000209114 83: -0.000209114 84: -1.01644e-20 396: -7.50079e-06 397: -3.7504e-06 398: 7.50079e-06 399: 3.7504e-06 516: -2.20229e-20 517: 2.24051e-05 518: -7.43596e-06 519: 3.71798e-06 526: 7.43596e-06 527: -3.71798e-06 601: -1.27055e-21 657: 1.2282e-20
Row 518: 80: -0.00124313 81: -0.000309256 83: -0.00031231 84: -0.00124313 514: 5.15426e-05 515: -7.36323e-06 516: 5.20517e-05 517: -7.43596e-06 518: 0.000207189 519: 2.28699e-20 520: 5.15426e-05 521: 7.36323e-06 526: 5.20517e-05 527: 7.43596e-06 546: -2.94529e-05 601: -2.97438e-05
Row 519: 80: 0.000207189 81: -6.77626e-21 83: -1.67713e-19 84: -0.000207189 514: -7.36323e-06 515: 3.68162e-06 516: -7.43596e-06 517: 3.71798e-06 518: 2.28699e-20 519: 2.21988e-05 520: 7.36323e-06 521: 3.68162e-06 526: 7.43596e-06 527: 3.71798e-06 546: -1.69407e-21 601: -1.3129e-20
Row 520: 77: -0.000263203 80: -0.000309256 81: -0.00114492 84: -0.00114492 502: 4.38671e-05 503: 6.26674e-06 504: 4.38671e-05 505: 6.26674e-06 514: 5.15426e-05 515: 7.36323e-06 518: 5.15426e-05 519: 7.36323e-06 520: 0.00019082 521: -3.38813e-21 546: -2.94529e-05 664: -2.50669e-05
Row 521: 77: -1.33831e-19 80: 1.59242e-19 81: 0.00019082 84: -0.00019082 502: -6.26674e-06 503: -3.13337e-06 504: 6.26674e-06 505: 3.13337e-06 514: -7.36323e-06 515: -3.68162e-06 518: 7.36323e-06 519: 3.68162e-06 520: -3.38813e-21 521: 2.0445e-05 546: 1.24937e-20 664: -1.05879e-20
Row 522: 73: -0.000267389 82: -0.00108521 83: -0.00108521 85: -0.000275213 482: 4.45649e-05 483: 6.36642e-06 484: 4.45649e-05 485: 6.36642e-06 522: 0.000180868 523: 4.31987e-20 524: 4.58689e-05 525: -6.5527e-06 528: 4.58689e-05 529: -6.5527e-06 548: -2.54657e-05 550: -2.62108e-05
Row 523: 73: -1.37219e-19 82: 0.000180868 83: -0.000180868 85: -1.47384e-19 482: -6.36642e-06 483: -3.18321e-06 484: 6.36642e-06 485: 3.18321e-06 522: 4.31987e-20 523: 1.93787e-05 524: -6.5527e-06 525: 3.27635e-06 528: 6.5527e-06 529: -3.27635e-06 548: -1.05879e-20 550: -1.21761e-20
Row 524: 75: -0.000248042 82: -0.00104651 83: -0.000275213 85: -0.00104651 492: 4.13403e-05 493: 5.90576e-06 494: 4.13403e-05 495: 5.90576e-06 522: 4.58689e-05 523: -6.5527e-06 524: 0.000174418 525: -1.82112e-20 528: 4.58689e-05 529: 6.5527e-06 550: -2.62108e-05 667: -2.3623e-05
Row 525: 75: 1.27055e-19 82: 0.000174418 83: -1.01644e-20 85: -0.000174418 492: -5.90576e-06 493: -2.95288e-06 494: 5.90576e-06 495: 2.95288e-06 522: -6.5527e-06 523: 3.27635e-06 524: -1.82112e-20 525: 1.86877e-05 528: 6.5527e-06 529: 3.27635e-06 550: -1.27055e-21 667: 1.00585e-20
Row 526: 80: -0.00031231 83: -0.00117605 84: -0.00117605 85: -0.000275716 516: 5.20517e-05 517: 7.43596e-06 518: 5.20517e-05 519: 7.43596e-06 526: 0.000196009 527: 4.57398e-20 528: 4.59527e-05 529: -6.56467e-06 530: 4.59527e-05 531: -6.56467e-06 599: -2.62587e-05 601: -2.97438e-05
Row 527: 80: -1.60936e-19 83: 0.000196009 84: -0.000196009 85: -1.50772e-19 516: -7.43596e-06 517: -3.71798e-06 518: 7.43596e-06 519: 3.71798e-06 526: 4.57398e-20 527: 2.10009e-05 528: -6.56467e-06 529: 3.28233e-06 530: 6.56467e-06 531: -3.28233e-06 599: -1.20702e-20 601: -1.20702e-20
Row 528: 82: -0.000275213 83: -0.00110186 84: -0.000275716 85: -0.00110186 522: 4.58689e-05 523: 6.5527e-06 524: 4.58689e-05 525: 6.5527e-06 526: 4.59527e-05 527: -6.56467e-06 528: 0.000183643 529: -2.15993e-20 530: 4.59527e-05 531: 6.56467e-06 550: -2.62108e-05 599: -2.62587e-05
Row 529: 82: 1.38913e-19 83: 0.000183643 84: -6.77626e-21 85: -0.000183643 522: -6.5527e-06 523: -3.27635e-06 524: 6.5527e-06 525: 3.27635e-06 526: -6.56467e-06 527: 3.28233e-06 528: -2.15993e-20 529: 1.96761e-05 530: 6.56467e-06 531: 3.28233e-06 550: 1.07997e-20 599: -1.27055e-21
Row 530: 78: -0.00027935 83: -0.000275716 84: -0.00111013 85: -0.00111013 508: 4.65583e-05 509: 6.65118e-06 510: 4.65583e-05 511: 6.65118e-06 526: 4.59527e-05 527: 6.56467e-06 528: 4.59527e-05 529: 6.56467e-06 530: 0.000185022 531: -3.38813e-21 547: -2.66047e-05 599: -2.62587e-05
Row 531: 78: -1.43996e-19 83: 1.43996e-19 84: 0.000185022 85: -0.000185022 508: -6.65118e-06 509: -3.32559e-06 510: 6.65118e-06 511: 3.32559e-06 526: -6.56467e-06 527: -3.28233e-06 528: 6.56467e-06 529: 3.28233e-06 530: -3.38813e-21 531: 1.98238e-05 547: -1.07997e-20 599: 1.07997e-20
Row 532: 0: 0.000173611 4: 0.000173611 31: 0.000173611 86: -2.48016e-05 87: -1.27055e-21 88: -2.48016e-05 89: -1.09055e-20 106: -2.48016e-05 107: -1.01644e-20 532: 1.24008e-05
Row 533: 4: 0.000178426 5: 0.000178426 32: 0.000178426 104: -2.54894e-05 105: -1.27055e-21 108: -2.54894e-05 109: -1.14349e-20 112: -2.54894e-05 113: -1.01644e-20 533: 1.27447e-05
Row 534: 5: 0.000172599 6: 0.000172599 33: 0.000172599 110: -2.4657e-05 111: -1.27055e-21 114: -2.4657e-05 115: -1.11173e-20 118: -2.4657e-05 119: -1.01644e-20 534: 1.23285e-05
Row 535: 5: 0.000193564 32: 0.000193564 33: 0.000193564 112: -2.7652e-05 113: -1.27055e-20 114: -2.7652e-05 115: -1.27055e-21 262: -2.7652e-05 263: 1.14349e-20 535: 1.3826e-05
Row 536: 6: 0.000167745 7: 0.000167745 34: 0.000167745 116: -2.39635e-05 117: -8.47033e-22 120: -2.39635e-05 121: -1.07997e-20 124: -2.39635e-05 125: -9.74088e-21 536: 1.19818e-05
Row 537: 6: 0.000174747 33: 0.000174747 34: 0.000174747 118: -2.49638e-05 119: -1.15408e-20 120: -2.49638e-05 121: -1.27055e-21 268: -2.49638e-05 269: 1.02703e-20 537: 1.24819e-05
Row 538: 7: 0.000157082 8: 0.000157082 35: 0.000157082 122: -2.24402e-05 123: -1.05879e-21 126: -2.24402e-05 127: -1.01644e-20 130: -2.24402e-05 131: -9.21148e-21 538: 1.12201e-05
Row 539: 7: 0.000160649 34: 0.000160649 35: 0.000160649 124: -2.29498e-05 125: -1.02703e-20 126: -2.29498e-05 127: -1.27055e-21 274: -2.29498e-05 275: 9.74088e-21 539: 1.14749e-05
Row 540: 8: 0.000142685 9: 0.000142685 36: 0.000142685 128: -2.03836e-05 129: -1.27055e-21 132: -2.03836e-05 133: -8.99973e-21 136: -2.03836e-05 137: -8.15269e-21 540: 1.01918e-05
Row 541: 8: 0.00014211 35: 0.00014211 36: 0.00014211 130: -2.03014e-05 131: -9.21148e-21 132: -2.03014e-05 133: -1.05879e-21 280: -2.03014e-05 281: 8.47033e-21 541: 1.01507e-05
Row 542: 9: 0.000144829 10: 0.000144829 37: 0.000144829 134: -2.06899e-05 135: -8.47033e-22 138: -2.06899e-05 139: -9.21148e-21 142: -2.06899e-05 143: -8.47033e-21 542: 1.03449e-05
Row 543: 9: 0.0001557 36: 0.0001557 37: 0.0001557 136: -2.22428e-05 137: -1.01644e-20 138: -2.22428e-05 139: -1.05879e-21 286: -2.22428e-05 287: 9.31736e-21 543: 1.11214e-05
Row 544: 1: 0.000173611 10: 0.000173611 11: 0.000173611 90: -2.48016e-05 91: -1.10114e-20 92: -2.48016e-05 93: -1.27055e-21 140: -2.48016e-05 141: 1.05879e-20 544: 1.24008e-05
Row 545: 10: 0.000224274 11: 0.000224274 37: 0.000224274 140: -3.20391e-05 141: -8.47033e-22 142: -3.20391e-05 143: -1.43996e-20 146: -3.20391e-05 147: -1.35525e-20 545: 1.60196e-05
Row 546: 80: 0.000206171 81: 0.000206171 84: 0.000206171 514: -2.94529e-05 515: -1.35525e-20 518: -2.94529e-05 519: -1.69407e-21 520: -2.94529e-05 521: 1.24937e-20 546: 1.47265e-05
Row 547: 78: 0.000186233 84: 0.000186233 85: 0.000186233 508: -2.66047e-05 509: -1.27055e-21 510: -2.66047e-05 511: -1.20702e-20 530: -2.66047e-05 531: -1.07997e-20 547: 1.33024e-05
Row 548: 73: 0.00017826 82: 0.00017826 83: 0.00017826 482: -2.54657e-05 483: -1.27055e-21 484: -2.54657e-05 485: -1.16467e-20 522: -2.54657e-05 523: -1.05879e-20 548: 1.27328e-05
Row 549: 12: 0.000165178 13: 0.000165178 38: 0.000165178 150: -2.35968e-05 151: -1.27055e-21 152: -2.35968e-05 153: -1.07997e-20 158: -2.35968e-05 159: -9.635e-21 549: 1.17984e-05
Row 550: 82: 0.000183476 83: 0.000183476 85: 0.000183476 522: -2.62108e-05 523: -1.21761e-20 524: -2.62108e-05 525: -1.27055e-21 528: -2.62108e-05 529: 1.07997e-20 550: 1.31054e-05
Row 551: 13: 0.000146114 14: 0.000146114 39: 0.000146114 156: -2.08734e-05 157: -6.35275e-22 160: -2.08734e-05 161: -9.42324e-21 164: -2.08734e-05 165: -8.68209e-21 551: 1.04367e-05
Row 552: 13: 0.000153914 38: 0.000153914 39: 0.000153914 158: -2.19877e-05 159: -9.74088e-21 160: -2.19877e-05 161: -1.27055e-21 296: -2.19877e-05 297: 8.78797e-21 552: 1.09939e-05
Row 553: 14: 0.000152017 15: 0.000152017 40: 0.000152017 162: -2.17167e-05 163: -1.27055e-21 166: -2.17167e-05 167: -9.84676e-21 170: -2.17167e-05 171: -9.21148e-21 553: 1.08584e-05
Row 554: 14: 0.000146306 39: 0.000146306 40: 0.000146306 164: -2.09008e-05 165: -9.42324e-21 166: -2.09008e-05 167: -1.27055e-21 304: -2.09008e-05 305: 8.04681e-21 554: 1.04504e-05
Row 555: 15: 0.000153953 16: 0.000153953 41: 0.000153953 168: -2.19933e-05 169: -8.47033e-22 172: -2.19933e-05 173: -9.84676e-21 176: -2.19933e-05 177: -8.78797e-21 555: 1.09966e-05
Row 556: 15: 0.000153682 40: 0.000153682 41: 0.000153682 170: -2.19545e-05 171: -9.95264e-21 172: -2.19545e-05 173: -1.27055e-21 310: -2.19545e-05 311: 9.21148e-21 556: 1.09773e-05
Row 557: 16: 0.000146203 17: 0.000146203 42: 0.000146203 174: -2.08861e-05 175: -1.27055e-21 178: -2.08861e-05 179: -9.42324e-21 182: -2.08861e-05 183: -8.57621e-21 557: 1.04431e-05
Row 558: 16: 0.000156195 41: 0.000156195 42: 0.000156195 176: -2.23135e-05 177: -9.95264e-21 178: -2.23135e-05 179: -1.27055e-21 316: -2.23135e-05 317: 9.52912e-21 558: 1.11568e-05
Row 559: 2: 0.000173611 17: 0.000173611 18: 0.000173611 94: -2.48016e-05 95: -1.10114e-20 96: -2.48016e-05 97: -1.27055e-21 180: -2.48016e-05 181: 1.05879e-20 559: 1.24008e-05
Row 560: 18: 0.000140218 19: 0.000140218 43: 0.000140218 184: -2.00312e-05 185: -8.47033e-22 188: -2.00312e-05 189: -8.89385e-21 192: -2.00312e-05 193: -8.25857e-21 560: 1.00156e-05
Row 561: 19: 0.000166327 20: 0.000166327 44: 0.000166327 190: -2.3761e-05 191: -1.27055e-21 194: -2.3761e-05 195: -1.07997e-20 198: -2.3761e-05 199: -1.01644e-20 561: 1.18805e-05
Row 562: 19: 0.000133668 43: 0.000133668 44: 0.000133668 192: -1.90954e-05 193: -8.78797e-21 194: -1.90954e-05 195: -8.47033e-22 326: -1.90954e-05 327: 8.04681e-21 562: 9.54771e-06
Row 563: 20: 0.000174178 21: 0.000174178 45: 0.000174178 196: -2.48826e-05 197: -8.47033e-22 200: -2.48826e-05 201: -1.09055e-20 204: -2.48826e-05 205: -9.635e-21 563: 1.24413e-05
Row 564: 20: 0.000166702 44: 0.000166702 45: 0.000166702 198: -2.38145e-05 199: -1.07997e-20 200: -2.38145e-05 201: -1.69407e-21 330: -2.38145e-05 331: 9.52912e-21 564: 1.19073e-05
Row 565: 21: 0.000162365 22: 0.000162365 46: 0.000162365 202: -2.31949e-05 203: -1.05879e-21 206: -2.31949e-05 207: -1.0482e-20 210: -2.31949e-05 211: -9.74088e-21 565: 1.15975e-05
Row 566: 21: 0.000166684 45: 0.000166684 46: 0.000166684 204: -2.38121e-05 205: -1.10114e-20 206: -2.38121e-05 207: -1.27055e-21 336: -2.38121e-05 337: 1.01644e-20 566: 1.1906e-05
Row 567: 22: 0.000146301 23: 0.000146301 47: 0.000146301 208: -2.09002e-05 209: -1.27055e-21 212: -2.09002e-05 213: -9.52912e-21 216: -2.09002e-05 217: -8.68209e-21 567: 1.04501e-05
Row 568: 22: 0.000146621 46: 0.000146621 47: 0.000146621 210: -2.09459e-05 211: -9.74088e-21 212: -2.09459e-05 213: -1.27055e-21 342: -2.09459e-05 343: 8.78797e-21 568: 1.04729e-05
Row 569: 23: 0.000130468 24: 0.000130468 48: 0.000130468 214: -1.86383e-05 215: -1.05879e-21 218: -1.86383e-05 219: -8.57621e-21 220: -1.86383e-05 221: -7.6233e-21 569: 9.31916e-06
Row 570: 23: 0.000124502 47: 0.000124502 48: 0.000124502 216: -1.7786e-05 217: -8.15269e-21 218: -1.7786e-05 219: -8.47033e-22 348: -1.7786e-05 349: 7.6233e-21 570: 8.89302e-06
Row 571: 3: 0.000139214 24: 0.000139214 49: 0.000139214 98: -1.98878e-05 99: -9.1056e-21 102: -1.98878e-05 103: -8.47033e-22 222: -1.98878e-05 223: 8.47033e-21 571: 9.94388e-06
Row 572: 24: 0.000122573 48: 0.000122573 49: 0.000122573 220: -1.75105e-05 221: -7.94093e-21 222: -1.75105e-05 223: -1.05879e-21 354: -1.75105e-05 355: 7.41154e-21 572: 8.75525e-06
Row 573: 3: 0.000135968 25: 0.000135968 49: 0.000135968 100: -1.9424e-05 101: -8.47033e-22 102: -1.9424e-05 103: -8.78797e-21 226: -1.9424e-05 227: -8.04681e-21 573: 9.71201e-06
Row 574: 25: 0.000122884 26: 0.000122884 50: 0.000122884 224: -1.75549e-05 225: -8.47033e-22 228: -1.75549e-05 229: -7.83505e-21 232: -1.75549e-05 233: -7.41154e-21 574: 8.77744e-06
Row 575: 25: 0.00012142 49: 0.00012142 50: 0.00012142 226: -1.73457e-05 227: -7.94093e-21 228: -1.73457e-05 229: -8.47033e-22 360: -1.73457e-05 361: 7.41154e-21 575: 8.67284e-06
Row 576: 26: 0.000134382 27: 0.000134382 51: 0.000134382 230: -1.91974e-05 231: -1.05879e-21 234: -1.91974e-05 235: -8.57621e-21 238: -1.91974e-05 239: -7.6233e-21 576: 9.59871e-06
Row 577: 26: 0.000117834 50: 0.000117834 51: 0.000117834 232: -1.68335e-05 233: -7.6233e-21 234: -1.68335e-05 235: -8.47033e-22 364: -1.68335e-05 365: 6.98802e-21 577: 8.41673e-06
Row 578: 27: 0.000143836 28: 0.000143836 52: 0.000143836 236: -2.0548e-05 237: -6.35275e-22 240: -2.0548e-05 241: -9.1056e-21 244: -2.0548e-05 245: -8.68209e-21 578: 1.0274e-05
Row 579: 27: 0.000134589 51: 0.000134589 52: 0.000134589 238: -1.9227e-05 239: -8.68209e-21 240: -1.9227e-05 241: -8.47033e-22 370: -1.9227e-05 371: 7.83505e-21 579: 9.61348e-06
Row 580: 28: 0.000145285 29: 0.000145285 53: 0.000145285 242: -2.0755e-05 243: -1.05879e-21 246: -2.0755e-05 247: -9.31736e-21 250: -2.0755e-05 251: -8.25857e-21 580: 1.03775e-05
Row 581: 28: 0.000145915 52: 0.000145915 53: 0.000145915 244: -2.0845e-05 245: -9.42324e-21 246: -2.0845e-05 247: -1.27055e-21 376: -2.0845e-05 377: 8.68209e-21 581: 1.04225e-05
Row 582: 29: 0.000158175 30: 0.000158175 54: 0.000158175 248: -2.25964e-05 249: -1.27055e-21 252: -2.25964e-05 253: -1.01644e-20 256: -2.25964e-05 257: -9.1056e-21 582: 1.12982e-05
Row 583: 29: 0.000184205 53: 0.000184205 54: 0.000184205 250: -2.6315e-05 251: -1.20702e-20 252: -2.6315e-05 253: -1.27055e-21 382: -2.6315e-05 383: 1.07997e-20 583: 1.31575e-05
Row 584: 30: 0.000158175 31: 0.000158175 54: 0.000158175 254: -2.25964e-05 255: -1.27055e-21 256: -2.25964e-05 257: -1.01644e-20 260: -2.25964e-05 261: -9.1056e-21 584: 1.12982e-05
Row 585: 4: 0.000246164 31: 0.000246164 32: 0.000246164 106: -3.51663e-05 107: -1.65171e-20 108: -3.51663e-05 109: -2.5411e-21 258: -3.51663e-05 259: 1.43996e-20 585: 1.75832e-05
Row 586: 17: 0.000205138 18: 0.000205138 42: 0.000205138 180: -2.93054e-05 181: -8.47033e-22 182: -2.93054e-05 183: -1.33408e-20 186: -2.93054e-05 187: -1.27055e-20 586: 1.46527e-05
Row 587: 18: 0.000161644 42: 0.000161644 43: 0.000161644 186: -2.30919e-05 187: -1.06938e-20 188: -2.30919e-05 189: -1.48231e-21 322: -2.30919e-05 323: 9.31736e-21 587: 1.1546e-05
Row 588: 31: 0.000268644 32: 0.000268644 54: 0.000268644 258: -3.83776e-05 259: -1.69407e-21 260: -3.83776e-05 261: -1.73642e-20 264: -3.83776e-05 265: -1.56701e-20 588: 1.91888e-05
Row 589: 33: 0.000179899 34: 0.000179899 55: 0.000179899 268: -2.56998e-05 269: -1.27055e-21 270: -2.56998e-05 271: -1.13291e-20 276: -2.56998e-05 277: -1.05879e-20 589: 1.28499e-05
Row 590: 32: 0.00018743 33: 0.00018743 56: 0.00018743 262: -2.67757e-05 263: -8.47033e-22 266: -2.67757e-05 267: -1.12232e-20 272: -2.67757e-05 273: -1.07997e-20 590: 1.33878e-05
Row 591: 33: 0.000180399 55: 0.000180399 56: 0.000180399 270: -2.57712e-05 271: -1.27055e-21 272: -2.57712e-05 273: -1.13291e-20 392: -2.57712e-05 393: -1.03762e-20 591: 1.28856e-05
Row 592: 35: 0.000148031 36: 0.000148031 57: 0.000148031 280: -2.11473e-05 281: -6.35275e-22 282: -2.11473e-05 283: -9.42324e-21 288: -2.11473e-05 289: -8.89385e-21 592: 1.05736e-05
Row 593: 36: 0.000135727 37: 0.000135727 58: 0.000135727 286: -1.93896e-05 287: -1.05879e-21 290: -1.93896e-05 291: -8.78797e-21 292: -1.93896e-05 293: -7.83505e-21 593: 9.6948e-06
Row 594: 36: 0.000123161 57: 0.000123161 58: 0.000123161 288: -1.75944e-05 289: -7.94093e-21 290: -1.75944e-05 291: -8.47033e-22 404: -1.75944e-05 405: 7.0939e-21 594: 8.79719e-06
Row 595: 11: 0.000217993 37: 0.000217993 59: 0.000217993 146: -3.11418e-05 147: -1.3976e-20 148: -3.11418e-05 149: -1.69407e-21 294: -3.11418e-05 295: 1.20702e-20 595: 1.55709e-05
Row 596: 37: 0.000139958 58: 0.000139958 59: 0.000139958 292: -1.9994e-05 293: -9.21148e-21 294: -1.9994e-05 295: -1.27055e-21 412: -1.9994e-05 413: 8.57621e-21 596: 9.99701e-06
Row 597: 11: 0.000193222 12: 0.000193222 59: 0.000193222 144: -2.76031e-05 145: -8.47033e-22 148: -2.76031e-05 149: -1.19643e-20 154: -2.76031e-05 155: -1.14349e-20 597: 1.38015e-05
Row 598: 38: 0.000125541 39: 0.000125541 60: 0.000125541 296: -1.79345e-05 297: -6.35275e-22 300: -1.79345e-05 301: -8.04681e-21 306: -1.79345e-05 307: -7.83505e-21 598: 8.96723e-06
Row 599: 83: 0.000183811 84: 0.000183811 85: 0.000183811 526: -2.62587e-05 527: -1.20702e-20 528: -2.62587e-05 529: -1.27055e-21 530: -2.62587e-05 531: 1.07997e-20 599: 1.31293e-05
Row 600: 12: 0.000172083 38: 0.000172083 59: 0.000172083 152: -2.45833e-05 153: -1.27055e-21 154: -2.45833e-05 155: -1.07997e-20 298: -2.45833e-05 299: -1.00585e-20 600: 1.22916e-05
Row 601: 80: 0.000208207 83: 0.000208207 84: 0.000208207 516: -2.97438e-05 517: -1.27055e-21 518: -2.97438e-05 519: -1.3129e-20 526: -2.97438e-05 527: -1.20702e-20 601: 1.48719e-05
Row 602: 39: 0.000147936 40: 0.000147936 61: 0.000147936 304: -2.11337e-05 305: -1.05879e-21 308: -2.11337e-05 309: -9.52912e-21 312: -2.11337e-05 313: -9.1056e-21 602: 1.05669e-05
Row 603: 39: 0.000127181 60: 0.000127181 61: 0.000127181 306: -1.81687e-05 307: -8.25857e-21 308: -1.81687e-05 309: -1.05879e-21 418: -1.81687e-05 419: 7.0939e-21 603: 9.08434e-06
Row 604: 40: 0.000160782 41: 0.000160782 62: 0.000160782 310: -2.29689e-05 311: -1.05879e-21 314: -2.29689e-05 315: -1.02703e-20 318: -2.29689e-05 319: -9.21148e-21 604: 1.14845e-05
Row 605: 40: 0.000157445 61: 0.000157445 62: 0.000157445 312: -2.24922e-05 313: -1.02703e-20 314: -2.24922e-05 315: -1.48231e-21 424: -2.24922e-05 425: 9.1056e-21 605: 1.12461e-05
Row 606: 41: 0.000162134 42: 0.000162134 63: 0.000162134 316: -2.31621e-05 317: -1.05879e-21 320: -2.31621e-05 321: -1.03762e-20 324: -2.31621e-05 325: -9.31736e-21 606: 1.1581e-05
Row 607: 41: 0.000161821 62: 0.000161821 63: 0.000161821 318: -2.31173e-05 319: -1.02703e-20 320: -2.31173e-05 321: -1.27055e-21 430: -2.31173e-05 431: 9.52912e-21 607: 1.15587e-05
Row 608: 42: 0.00013996 43: 0.00013996 63: 0.00013996 322: -1.99943e-05 323: -1.05879e-21 324: -1.99943e-05 325: -8.78797e-21 328: -1.99943e-05 329: -7.94093e-21 608: 9.99716e-06
Row 609: 45: 0.000172728 46: 0.000172728 64: 0.000172728 336: -2.46755e-05 337: -1.27055e-21 338: -2.46755e-05 339: -1.11173e-20 344: -2.46755e-05 345: -9.74088e-21 609: 1.23377e-05
Row 610: 44: 0.000196902 45: 0.000196902 65: 0.000196902 330: -2.81288e-05 331: -1.27055e-21 334: -2.81288e-05 335: -1.29173e-20 340: -2.81288e-05 341: -1.14349e-20 610: 1.40644e-05
Row 611: 45: 0.000206422 64: 0.000206422 65: 0.000206422 338: -2.94888e-05 339: -8.47033e-22 340: -2.94888e-05 341: -1.3129e-20 438: -2.94888e-05 439: -1.20702e-20 611: 1.47444e-05
Row 612: 43: 0.000140468 44: 0.000140468 63: 0.000140468 326: -2.00668e-05 327: -8.47033e-22 328: -2.00668e-05 329: -9.1056e-21 332: -2.00668e-05 333: -8.47033e-21 612: 1.00334e-05
Row 613: 46: 0.00015288 47: 0.00015288 66: 0.00015288 342: -2.184e-05 343: -1.27055e-21 346: -2.184e-05 347: -9.84676e-21 350: -2.184e-05 351: -8.89385e-21 613: 1.092e-05
Row 614: 46: 0.000164255 64: 0.000164255 66: 0.000164255 344: -2.34649e-05 345: -1.06938e-20 346: -2.34649e-05 347: -1.48231e-21 440: -2.34649e-05 441: 9.74088e-21 614: 1.17325e-05
Row 615: 47: 0.000130947 48: 0.000130947 67: 0.000130947 348: -1.87068e-05 349: -6.35275e-22 352: -1.87068e-05 353: -8.47033e-21 356: -1.87068e-05 357: -7.83505e-21 615: 9.35338e-06
Row 616: 47: 0.000134925 66: 0.000134925 67: 0.000134925 350: -1.92751e-05 351: -8.89385e-21 352: -1.92751e-05 353: -1.27055e-21 450: -1.92751e-05 451: 7.83505e-21 616: 9.63753e-06
Row 617: 48: 0.000103357 49: 0.000103357 68: 0.000103357 354: -1.47652e-05 355: -6.35275e-22 358: -1.47652e-05 359: -6.77626e-21 362: -1.47652e-05 363: -5.92923e-21 617: 7.38262e-06
Row 618: 48: 0.000101868 67: 0.000101868 68: 0.000101868 356: -1.45526e-05 357: -6.35275e-21 358: -1.45526e-05 359: -1.05879e-21 456: -1.45526e-05 457: 6.14099e-21 618: 7.27631e-06
Row 619: 49: 0.000100951 50: 0.000100951 68: 0.000100951 360: -1.44216e-05 361: -4.23516e-22 362: -1.44216e-05 363: -6.35275e-21 366: -1.44216e-05 367: -5.92923e-21 619: 7.21079e-06
Row 620: 51: 0.000141295 52: 0.000141295 69: 0.000141295 370: -2.0185e-05 371: -1.05879e-21 372: -2.0185e-05 373: -8.89385e-21 378: -2.0185e-05 379: -8.04681e-21 620: 1.00925e-05
Row 621: 50: 0.000123836 51: 0.000123836 70: 0.000123836 364: -1.76909e-05 365: -6.35275e-22 368: -1.76909e-05 369: -7.83505e-21 374: -1.76909e-05 375: -7.6233e-21 621: 8.84543e-06
Row 622: 50: 9.83264e-05 68: 9.83264e-05 70: 9.83264e-05 366: -1.40466e-05 367: -6.45863e-21 368: -1.40466e-05 369: -6.35275e-22 462: -1.40466e-05 463: 5.92923e-21 622: 7.02331e-06
Row 623: 51: 0.000129773 69: 0.000129773 70: 0.000129773 372: -1.8539e-05 373: -8.47033e-22 374: -1.8539e-05 375: -8.15269e-21 464: -1.8539e-05 465: -7.41154e-21 623: 9.26952e-06
Row 624: 52: 0.00015388 53: 0.00015388 71: 0.00015388 376: -2.19828e-05 377: -8.47033e-22 380: -2.19828e-05 381: -9.84676e-21 384: -2.19828e-05 385: -8.99973e-21 624: 1.09914e-05
Row 625: 52: 0.000146104 69: 0.000146104 71: 0.000146104 378: -2.0872e-05 379: -9.42324e-21 380: -2.0872e-05 381: -1.05879e-21 466: -2.0872e-05 467: 8.47033e-21 625: 1.0436e-05
Row 626: 53: 0.000165013 54: 0.000165013 72: 0.000165013 382: -2.35732e-05 383: -1.05879e-21 386: -2.35732e-05 387: -1.06938e-20 390: -2.35732e-05 391: -9.52912e-21 626: 1.17866e-05
Row 627: 53: 0.000140546 71: 0.000140546 72: 0.000140546 384: -2.0078e-05 385: -9.1056e-21 386: -2.0078e-05 387: -1.27055e-21 474: -2.0078e-05 475: 8.15269e-21 627: 1.0039e-05
Row 628: 34: 0.000164743 35: 0.000164743 73: 0.000164743 274: -2.35347e-05 275: -8.47033e-22 278: -2.35347e-05 279: -1.0482e-20 284: -2.35347e-05 285: -9.52912e-21 628: 1.17673e-05
Row 629: 34: 0.000174436 55: 0.000174436 73: 0.000174436 276: -2.49194e-05 277: -1.13291e-20 278: -2.49194e-05 279: -1.27055e-21 394: -2.49194e-05 395: 1.0482e-20 629: 1.24597e-05
Row 630: 35: 0.000155423 57: 0.000155423 73: 0.000155423 282: -2.22032e-05 283: -8.47033e-22 284: -2.22032e-05 285: -9.74088e-21 406: -2.22032e-05 407: -8.89385e-21 630: 1.11016e-05
Row 631: 44: 0.000195115 63: 0.000195115 65: 0.000195115 332: -2.78736e-05 333: -1.29173e-20 334: -2.78736e-05 335: -1.27055e-21 436: -2.78736e-05 437: 1.20702e-20 631: 1.39368e-05
Row 632: 54: 0.00016043 56: 0.00016043 72: 0.00016043 388: -2.29185e-05 389: -1.05879e-21 390: -2.29185e-05 391: -9.84676e-21 400: -2.29185e-05 401: -9.31736e-21 632: 1.14593e-05
Row 633: 32: 0.000203721 54: 0.000203721 56: 0.000203721 264: -2.9103e-05 265: -1.33408e-20 266: -2.9103e-05 267: -1.69407e-21 388: -2.9103e-05 389: 1.2282e-20 633: 1.45515e-05
Row 634: 58: 0.000154781 59: 0.000154781 74: 0.000154781 412: -2.21115e-05 413: -1.05879e-21 414: -2.21115e-05 415: -9.84676e-21 416: -2.21115e-05 417: -8.78797e-21 634: 1.10558e-05
Row 635: 38: 0.000176056 59: 0.000176056 74: 0.000176056 298: -2.51509e-05 299: -1.14349e-20 302: -2.51509e-05 303: -1.27055e-21 416: -2.51509e-05 417: 1.01644e-20 635: 1.25754e-05
Row 636: 57: 0.000135702 58: 0.000135702 74: 0.000135702 404: -1.9386e-05 405: -1.05879e-21 408: -1.9386e-05 409: -8.78797e-21 414: -1.9386e-05 415: -7.6233e-21 636: 9.693e-06
Row 637: 62: 0.000189663 63: 0.000189663 65: 0.000189663 430: -2.70947e-05 431: -8.47033e-22 432: -2.70947e-05 433: -1.2282e-20 436: -2.70947e-05 437: -1.18585e-20 637: 1.35474e-05
Row 638: 60: 0.000130762 61: 0.000130762 75: 0.000130762 418: -1.86803e-05 419: -8.47033e-22 422: -1.86803e-05 423: -8.47033e-21 426: -1.86803e-05 427: -7.94093e-21 638: 9.34016e-06
Row 639: 66: 0.000138476 67: 0.000138476 76: 0.000138476 450: -1.97823e-05 451: -8.47033e-22 452: -1.97823e-05 453: -8.78797e-21 460: -1.97823e-05 461: -7.94093e-21 639: 9.89114e-06
Row 640: 64: 0.000169268 66: 0.000169268 77: 0.000169268 440: -2.41811e-05 441: -1.27055e-21 442: -2.41811e-05 443: -1.07997e-20 454: -2.41811e-05 455: -9.95264e-21 640: 1.20906e-05
Row 641: 66: 0.000154768 76: 0.000154768 77: 0.000154768 452: -2.21097e-05 453: -1.05879e-21 454: -2.21097e-05 455: -9.95264e-21 496: -2.21097e-05 497: -9.21148e-21 641: 1.10548e-05
Row 642: 64: 0.000210843 65: 0.000210843 78: 0.000210843 438: -3.01204e-05 439: -1.35525e-20 444: -3.01204e-05 445: -1.27055e-21 446: -3.01204e-05 447: 1.2282e-20 642: 1.50602e-05
Row 643: 64: 0.000179985 77: 0.000179985 78: 0.000179985 442: -2.57121e-05 443: -8.47033e-22 444: -2.57121e-05 445: -1.12232e-20 500: -2.57121e-05 501: -1.03762e-20 643: 1.28561e-05
Row 644: 61: 0.000163992 62: 0.000163992 79: 0.000163992 424: -2.34274e-05 425: -1.27055e-21 428: -2.34274e-05 429: -1.0482e-20 434: -2.34274e-05 435: -9.42324e-21 644: 1.17137e-05
Row 645: 61: 0.000164495 75: 0.000164495 79: 0.000164495 426: -2.34992e-05 427: -1.06938e-20 428: -2.34992e-05 429: -1.05879e-21 490: -2.34992e-05 491: 9.74088e-21 645: 1.17496e-05
Row 646: 62: 0.000209144 65: 0.000209144 79: 0.000209144 432: -2.98777e-05 433: -1.27055e-21 434: -2.98777e-05 435: -1.33408e-20 448: -2.98777e-05 449: -1.2282e-20 646: 1.49389e-05
Row 647: 56: 0.000172951 72: 0.000172951 80: 0.000172951 400: -2.47073e-05 401: -1.13291e-20 402: -2.47073e-05 403: -1.27055e-21 480: -2.47073e-05 481: 1.03762e-20 647: 1.23536e-05
Row 648: 55: 0.00021051 56: 0.00021051 80: 0.00021051 392: -3.00728e-05 393: -1.3976e-20 396: -3.00728e-05 397: -2.11758e-21 402: -3.00728e-05 403: 1.27055e-20 648: 1.50364e-05
Row 649: 67: 0.000102584 68: 0.000102584 70: 0.000102584 456: -1.46548e-05 457: -4.23516e-22 458: -1.46548e-05 459: -6.77626e-21 462: -1.46548e-05 463: -6.03511e-21 649: 7.32741e-06
Row 650: 71: 0.000165695 72: 0.000165695 80: 0.000165695 474: -2.36707e-05 475: -1.05879e-21 476: -2.36707e-05 477: -1.05879e-20 480: -2.36707e-05 481: -9.74088e-21 650: 1.18353e-05
Row 651: 69: 0.000154623 71: 0.000154623 81: 0.000154623 466: -2.2089e-05 467: -1.05879e-21 470: -2.2089e-05 471: -1.01644e-20 478: -2.2089e-05 479: -9.31736e-21 651: 1.10445e-05
Row 652: 67: 0.000129937 70: 0.000129937 76: 0.000129937 458: -1.85624e-05 459: -1.05879e-21 460: -1.85624e-05 461: -8.36445e-21 472: -1.85624e-05 473: -7.19978e-21 652: 9.28121e-06
Row 653: 65: 0.00021016 78: 0.00021016 79: 0.00021016 446: -3.00228e-05 447: -1.69407e-21 448: -3.00228e-05 449: -1.37643e-20 506: -3.00228e-05 507: -1.29173e-20 653: 1.50114e-05
Row 654: 38: 0.000144548 60: 0.000144548 74: 0.000144548 300: -2.06497e-05 301: -8.47033e-22 302: -2.06497e-05 303: -9.21148e-21 420: -2.06497e-05 421: -8.78797e-21 654: 1.03248e-05
Row 655: 57: 0.000177995 74: 0.000177995 82: 0.000177995 408: -2.54279e-05 409: -1.27055e-21 410: -2.54279e-05 411: -1.16467e-20 488: -2.54279e-05 489: -1.07997e-20 655: 1.27139e-05
Row 656: 60: 0.000141665 74: 0.000141665 75: 0.000141665 420: -2.02378e-05 421: -9.42324e-21 422: -2.02378e-05 423: -1.05879e-21 486: -2.02378e-05 487: 8.15269e-21 656: 1.01189e-05
Row 657: 55: 0.000210022 80: 0.000210022 83: 0.000210022 396: -3.00032e-05 397: -1.3976e-20 398: -3.00032e-05 399: -2.11758e-21 516: -3.00032e-05 517: 1.2282e-20 657: 1.50016e-05
Row 658: 55: 0.000181543 73: 0.000181543 83: 0.000181543 394: -2.59347e-05 395: -1.27055e-21 398: -2.59347e-05 399: -1.16467e-20 484: -2.59347e-05 485: -1.05879e-20 658: 1.29673e-05
Row 659: 71: 0.000192927 80: 0.000192927 81: 0.000192927 476: -2.7561e-05 477: -1.27055e-21 478: -2.7561e-05 479: -1.2282e-20 514: -2.7561e-05 515: -1.14349e-20 659: 1.37805e-05
Row 660: 69: 0.000136745 70: 0.000136745 76: 0.000136745 464: -1.9535e-05 465: -8.78797e-21 468: -1.9535e-05 469: -8.47033e-22 472: -1.9535e-05 473: 8.36445e-21 660: 9.76748e-06
Row 661: 69: 0.000153498 76: 0.000153498 81: 0.000153498 468: -2.19283e-05 469: -1.02703e-20 470: -2.19283e-05 471: -1.27055e-21 498: -2.19283e-05 499: 9.21148e-21 661: 1.09641e-05
Row 662: 57: 0.000158599 73: 0.000158599 82: 0.000158599 406: -2.2657e-05 407: -9.95264e-21 410: -2.2657e-05 411: -1.48231e-21 482: -2.2657e-05 483: 9.31736e-21 662: 1.13285e-05
Row 663: 76: 0.000161557 77: 0.000161557 81: 0.000161557 496: -2.30796e-05 497: -1.05879e-20 498: -2.30796e-05 499: -1.27055e-21 502: -2.30796e-05 503: 9.84676e-21 663: 1.15398e-05
Row 664: 77: 0.000175469 81: 0.000175469 84: 0.000175469 502: -2.50669e-05 503: -8.47033e-22 504: -2.50669e-05 505: -1.14349e-20 520: -2.50669e-05 521: -1.05879e-20 664: 1.25335e-05
Row 665: 74: 0.000183048 75: 0.000183048 82: 0.000183048 486: -2.61497e-05 487: -1.27055e-21 488: -2.61497e-05 489: -1.19643e-20 492: -2.61497e-05 493: -1.10114e-20 665: 1.30749e-05
Row 666: 75: 0.000171239 79: 0.000171239 85: 0.000171239 490: -2.44627e-05 491: -1.27055e-21 494: -2.44627e-05 495: -1.10114e-20 512: -2.44627e-05 513: -9.95264e-21 666: 1.22313e-05
Row 667: 75: 0.000165361 82: 0.000165361 85: 0.000165361 492: -2.3623e-05 493: -1.06938e-20 494: -2.3623e-05 495: -1.05879e-21 524: -2.3623e-05 525: 1.00585e-20 667: 1.18115e-05
Row 668: 78: 0.000181101 79: 0.000181101 85: 0.000181101 506: -2.58716e-05 507: -1.16467e-20 510: -2.58716e-05 511: -1.27055e-21 512: -2.58716e-05 513: 1.07997e-20 668: 1.29358e-05
Row 669: 77: 0.000184429 78: 0.000184429 84: 0.000184429 500: -2.6347e-05 501: -1.21761e-20 504: -2.6347e-05 505: -1.27055e-21 508: -2.6347e-05 509: 1.07997e-20 669: 1.31735e-05
To access the entries we use the vector of nonzero-entries:
[6]:
print(mstar.nze)
print(len(mstar.AsVector()))
10798
10798
[7]:
print(mstar.AsVector())
0.00520833
0.00260417
0.00260417
-0.000520833
8.68056e-05
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8.68056e-05
-0.000260417
-1.32137e-19
0.000173611
0.00520833
0.00260417
0.00260417
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8.68056e-05
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8.68056e-05
-0.000260417
1.32137e-19
0.000173611
0.00520833
0.00260417
0.00260417
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8.68056e-05
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8.68056e-05
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1.32137e-19
0.000173611
0.00825547
0.00208821
0.00203952
0.00412774
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6.96071e-05
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0.000137591
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1.05032e-19
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0.017946
0.00267639
0.00629663
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7.13426e-05
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0.000184429
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-1.21761e-20
-2.6347e-05
-1.27055e-21
-2.6347e-05
1.07997e-20
1.31735e-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 0x7f96b457a470>
and the initial data: \(u_0 = (1-y^2)x\)
[10]:
gfu = GridFunction(fes)
gfu.Set((1-y*y)*x)
Draw(gfu,mesh,"u")
[10]:
BaseWebGuiScene
[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=False)
print("")
time+=t_intermediate
1.0000000000000007
CPU times: user 260 ms, sys: 0 ns, total: 260 ms
Wall time: 257 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()
from ngsolve.krylovspace import CGSolver
invmstar_alt = CGSolver(mstar_alt,premstar_alt, printrates='\r',\
tol=1e-8, maxiter=200)
print(premstar_alt)
Print base-matrix
[14]:
%%time
tstep = 0.1
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=False)
print("")
time+=t_intermediate
CG converged in 120 iterations to residual 2.4000569611388888e-11
CG converged in 120 iterations to residual 2.3859946035486468e-11
CG converged in 119 iterations to residual 2.97114336257043e-11
CG converged in 119 iterations to residual 2.941319768953692e-11
CG converged in 119 iterations to residual 2.912760615677307e-11
CG converged in 119 iterations to residual 2.8849236672114854e-11
CG converged in 119 iterations to residual 2.8575093634149762e-11
CG converged in 119 iterations to residual 2.83035473085234e-11
CG converged in 119 iterations to residual 2.803373551686061e-11
CG converged in 119 iterations to residual 2.7765243520581005e-11
CG converged in 119 iterations to residual 2.7497939216567036e-11
CG converged in 119 iterations to residual 2.7231890523198295e-11
CG converged in 119 iterations to residual 2.6967323034007344e-11
CG converged in 119 iterations to residual 2.6704594181661627e-11
CG converged in 119 iterations to residual 2.6444170722410812e-11
CG converged in 119 iterations to residual 2.6186602753654604e-11
CG converged in 119 iterations to residual 2.5932491585999427e-11
CG converged in 119 iterations to residual 2.5682451545682357e-11
CG converged in 119 iterations to residual 2.5437067628364028e-11
CG converged in 119 iterations to residual 2.5196852070895808e-11
CG converged in 118 iterations to residual 2.9300419710849564e-11
CG converged in 118 iterations to residual 2.8961309510903577e-11
CG converged in 118 iterations to residual 2.8622496033044247e-11
CG converged in 118 iterations to residual 2.828382027375835e-11
CG converged in 118 iterations to residual 2.7945438686121807e-11
CG converged in 118 iterations to residual 2.7607814299794453e-11
CG converged in 118 iterations to residual 2.7271678353576675e-11
CG converged in 118 iterations to residual 2.69379664486645e-11
CG converged in 118 iterations to residual 2.6607736196170914e-11
CG converged in 118 iterations to residual 2.6282075351365222e-11
CG converged in 117 iterations to residual 2.9093228461331118e-11
CG converged in 117 iterations to residual 2.872715156296519e-11
CG converged in 117 iterations to residual 2.8369291003443924e-11
CG converged in 117 iterations to residual 2.801803012048477e-11
CG converged in 117 iterations to residual 2.767207560139838e-11
CG converged in 117 iterations to residual 2.733049407625496e-11
CG converged in 117 iterations to residual 2.699271727041444e-11
CG converged in 117 iterations to residual 2.6658517960830557e-11
CG converged in 117 iterations to residual 2.632796201992029e-11
CG converged in 116 iterations to residual 2.907077817669098e-11
CG converged in 116 iterations to residual 2.859547468169382e-11
CG converged in 116 iterations to residual 2.814131315041807e-11
CG converged in 116 iterations to residual 2.7706181508135247e-11
CG converged in 116 iterations to residual 2.7288019971634466e-11
CG converged in 116 iterations to residual 2.6884887748588837e-11
CG converged in 116 iterations to residual 2.64950151088098e-11
CG converged in 116 iterations to residual 2.6116840330167805e-11
CG converged in 116 iterations to residual 2.5749031677851178e-11
CG converged in 116 iterations to residual 2.5390495225817106e-11
CG converged in 116 iterations to residual 2.5040369947327916e-11
CG converged in 115 iterations to residual 2.8472521031355914e-11
CG converged in 115 iterations to residual 2.795844752423731e-11
CG converged in 115 iterations to residual 2.7464049010298815e-11
CG converged in 115 iterations to residual 2.6988339973145704e-11
CG converged in 115 iterations to residual 2.6530230410440307e-11
CG converged in 115 iterations to residual 2.6088572359211912e-11
CG converged in 115 iterations to residual 2.5662201041164995e-11
CG converged in 115 iterations to residual 2.5249969949055538e-11
CG converged in 115 iterations to residual 2.4850779557841242e-11
CG converged in 114 iterations to residual 2.87894704771435e-11
CG converged in 114 iterations to residual 2.8310885732839133e-11
CG converged in 114 iterations to residual 2.784336919477855e-11
CG converged in 114 iterations to residual 2.7387169349427563e-11
CG converged in 114 iterations to residual 2.6942418050069794e-11
CG converged in 114 iterations to residual 2.6509133508807297e-11
CG converged in 114 iterations to residual 2.6087228335705506e-11
CG converged in 114 iterations to residual 2.5676521155655895e-11
CG converged in 114 iterations to residual 2.527675047830434e-11
CG converged in 113 iterations to residual 2.8771173876908468e-11
CG converged in 113 iterations to residual 2.835482012848008e-11
CG converged in 113 iterations to residual 2.7947130553877642e-11
CG converged in 113 iterations to residual 2.754782941387834e-11
CG converged in 113 iterations to residual 2.715670238979867e-11
CG converged in 113 iterations to residual 2.67735819647632e-11
CG converged in 113 iterations to residual 2.6398334197233328e-11
CG converged in 113 iterations to residual 2.6030847127233316e-11
CG converged in 113 iterations to residual 2.5671020939609128e-11
CG converged in 113 iterations to residual 2.5318759911282955e-11
CG converged in 113 iterations to residual 2.4973966092384588e-11
CG converged in 113 iterations to residual 2.463653461377653e-11
CG converged in 113 iterations to residual 2.4306350474512392e-11
CG converged in 113 iterations to residual 2.398328663950345e-11
CG converged in 112 iterations to residual 2.8463599815119306e-11
CG converged in 112 iterations to residual 2.8061383267088976e-11
CG converged in 112 iterations to residual 2.766875158724943e-11
CG converged in 112 iterations to residual 2.728532296431902e-11
CG converged in 112 iterations to residual 2.6910760442659895e-11
CG converged in 112 iterations to residual 2.6544768219644243e-11
CG converged in 112 iterations to residual 2.6187087586525856e-11
CG converged in 112 iterations to residual 2.5837492644715818e-11
CG converged in 112 iterations to residual 2.549578591408519e-11
CG converged in 112 iterations to residual 2.5161793935946344e-11
CG converged in 112 iterations to residual 2.4835362961064702e-11
CG converged in 112 iterations to residual 2.4516354802349366e-11
CG converged in 112 iterations to residual 2.4204642922771054e-11
CG converged in 112 iterations to residual 2.3900108821035382e-11
CG converged in 112 iterations to residual 2.3602638770237598e-11
CG converged in 112 iterations to residual 2.3312120957292766e-11
CG converged in 112 iterations to residual 2.3028443062757204e-11
CG converged in 112 iterations to residual 2.2751490310905995e-11
CPU times: user 2.01 s, sys: 58.8 ms, total: 2.07 s
Wall time: 2.05 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))
scene = Draw(gausspt,mesh,"ft",order=3)
time = 0.0
from time import sleep
while time < 10 - 0.5 * dt:
t.Set(time)
scene.Redraw()
time += 1e-3
sleep(1e-3)
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))
scene = 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="")
scene.Redraw()
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)
scene = 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="")
scene.Redraw()
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)
scene = 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="")
scene.Redraw()
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(mesh,coefs=[gfu],
names=["sol"],
filename="vtk_example1",
subdivision=3)
vtk.Do()
[27]:
'vtk_example1'
[28]:
%%bash
ls vtk_example1.*
vtk_example1.vtu
You can also export vector fields:
[29]:
vtk = VTKOutput(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(mesh,coefs=[gfu],names=["sol"],filename="vtk_example3",subdivision=3)
gfu.Set((1-y*y)*x)
vtk.Do(time=0)
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="")
scene.Redraw()
i += 1
if (i%10 == 0):
vtk.Do(time=t_intermediate)
print("")
1.0000000000000007
Call paraview on gerenated data (if installed):
[32]:
%%bash
if ! command -v paraview &> /dev/null
then
echo "paraview is not installed."
exit
else
paraview vtk_example3.pvd
fi
paraview is not installed.
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