This page was generated from unit-3.1-parabolic/parabolic.ipynb.
3.1 Parabolic model problem¶
In this unit we want to turn to instationary problems. And we will start with a very basic setup: implicit Euler time stepping for the convection diffusion equation. After the main part of this tutorial we have supplementary material to extend the case in several regards.
We are solving the unsteady heat equation
with a suitable advective field \(b\) (the wind).
[1]:
#imports
from ngsolve import *
from netgen.geom2d import SplineGeometry
from ngsolve.webgui import Draw
Geometry: \((-1,1)^2\)
Dirichlet boundaries everywhere
Mesh
[2]:
from netgen.occ import *
from netgen.webgui import Draw as DrawGeo
shape = Rectangle(2,2).Face().Move((-1,-1,0))
shape.edges.Min(X).name="left"
shape.edges.Max(X).name="right"
shape.edges.Min(Y).name="bottom"
shape.edges.Max(Y).name="top"
mesh = Mesh(OCCGeometry(shape, dim=2).GenerateMesh(maxh=0.25))
[3]:
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
[4]:
b = CoefficientFunction((2*y*(1-x*x),-2*x*(1-y*y)))
Draw(b,mesh,"wind", vectors={"grid_size": 32}, order=3)
[4]:
BaseWebGuiScene
bilinear forms for
convection-diffusion stiffness and
mass matrix separately.
non-symmetric memory layout for the mass matrix so that a and m have the same sparsity pattern.
[5]:
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()
[5]:
<ngsolve.comp.BilinearForm at 0x7f35603472b0>
Implicit Euler method¶
or in an incremental form:
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 same format as m.mat and compare number of non-zero entries and sparsity pattern:
[6]:
mstar = m.mat.CreateMatrix()
print(f"m.mat.nze = {m.mat.nze}, a.mat.nze={a.mat.nze}, mstar.nze={mstar.nze}")
from helper import ShowPattern
print("sparsity pattern a.mat:")
ShowPattern(a.mat,binarize=True)
m.mat.nze = 11257, a.mat.nze=11257, mstar.nze=11257
/usr/lib/python3/dist-packages/scipy/__init__.py:146: UserWarning: A NumPy version >=1.17.3 and <1.25.0 is required for this version of SciPy (detected version 1.26.4
warnings.warn(f"A NumPy version >={np_minversion} and <{np_maxversion}"
sparsity pattern a.mat:
[7]:
print("sparsity pattern mstar:")
ShowPattern(mstar,binarize=True)
sparsity pattern mstar:
To access the entries we use the vector of nonzero-entries:
[8]:
print(f"mstar.nze={mstar.nze}, len(mstar.AsVector())={len(mstar.AsVector())}")
mstar.nze=11257, len(mstar.AsVector())=11257
[9]:
print(mstar.AsVector())
0.00520833
0.00260417
0.00260417
-0.000520833
8.68056e-05
-0.000520833
8.68056e-05
-0.000260417
-1.32137e-19
0.000173611
0.00823929
0.00207589
0.00204376
0.00411964
-0.000415177
6.91962e-05
-0.000408752
6.81253e-05
-0.000823929
0.000137321
-0.000207589
1.05879e-19
-0.000204376
-1.05032e-19
0.000138392
0.000136251
0.00520833
0.00260417
0.00260417
-0.000520833
8.68056e-05
-0.000520833
8.68056e-05
-0.000260417
1.32137e-19
0.000173611
0.00827496
0.00209025
0.00204723
0.00413748
-0.000418049
6.96749e-05
-0.000409446
6.82411e-05
-0.000827496
0.000137916
-0.000209025
1.05032e-19
-0.000204723
-1.04185e-19
0.00013935
0.000136482
0.00260417
0.0195488
0.00333868
0.00643574
0.00717025
-0.000520833
-8.68056e-05
-0.000260417
-1.42302e-19
-0.000667736
0.000111289
-0.00128715
0.000214525
-0.00143405
0.000239008
-0.000333868
-1.72795e-19
-0.000383157
1.96512e-19
0.000173611
0.000222579
0.000255438
0.00333868
0.0199715
0.00282601
0.00715975
0.00664708
-0.000667736
-0.000111289
-0.000333868
-1.86347e-19
-0.000565201
9.42002e-05
-0.00143195
0.000238658
-0.00132942
0.000221569
-0.000282601
-1.40607e-19
-0.000382107
1.89735e-19
0.000222579
0.0001884
0.000254738
0.00282601
0.0165345
0.0025482
0.00571903
0.00544123
-0.000565201
-9.42002e-05
-0.000282601
-1.5416e-19
-0.00050964
8.494e-05
-0.00114381
0.000190634
-0.00108825
0.000181374
-0.00025482
-1.28749e-19
-0.000289303
1.49078e-19
0.0001884
0.00016988
0.000192868
0.0025482
0.0146259
0.00229409
0.00501886
0.00476475
-0.00050964
-8.494e-05
-0.00025482
-1.38913e-19
-0.000458819
7.64698e-05
-0.00100377
0.000167295
-0.000952951
0.000158825
-0.000229409
-1.16891e-19
-0.000247066
1.23667e-19
0.00016988
0.00015294
0.000164711
0.00229409
0.0128843
0.00205426
0.00438791
0.00414808
-0.000458819
-7.64698e-05
-0.000229409
-1.23667e-19
-0.000410852
6.84754e-05
-0.000877582
0.000146264
-0.000829615
0.000138269
-0.000205426
-1.05879e-19
-0.000209382
1.05032e-19
0.00015294
0.000136951
0.000139588
0.00205426
0.0113433
0.00188867
0.00378299
0.00361739
-0.000410852
-6.84754e-05
-0.000205426
-1.11808e-19
-0.000377733
6.29555e-05
-0.000756598
0.0001261
-0.000723479
0.00012058
-0.000188867
-9.74088e-20
-0.000172873
8.72444e-20
0.000136951
0.000125911
0.000115249
0.00207589
0.00188867
0.0112674
0.0035578
0.00374502
-0.000415177
-6.91962e-05
-0.000207589
-6.77626e-21
-0.000377733
-6.29555e-05
-0.000188867
-1.01644e-19
-0.00071156
0.000118593
-0.000749004
0.000124834
-0.000166913
8.63974e-20
0.000125911
0.000138392
0.000111275
0.00204376
0.011037
0.00182396
0.00369454
0.00347474
-0.000408752
-6.81253e-05
-0.000204376
-1.11808e-19
-0.000364791
6.07985e-05
-0.000738909
0.000123151
-0.000694948
0.000115825
-0.000182396
-9.31736e-20
-0.000165078
8.38563e-20
0.000136251
0.000121597
0.000110052
0.00182396
0.0108765
0.00194398
0.00349425
0.00361428
-0.000364791
-6.07985e-05
-0.000182396
-9.82558e-20
-0.000388797
6.47995e-05
-0.00069885
0.000116475
-0.000722856
0.000120476
-0.000194398
-9.91029e-20
-0.00016703
8.63974e-20
0.000121597
0.000129599
0.000111353
0.00194398
0.0120504
0.00210766
0.00391754
0.00408122
-0.000388797
-6.47995e-05
-0.000194398
-1.06726e-19
-0.000421533
7.02554e-05
-0.000783508
0.000130585
-0.000816244
0.000136041
-0.000210766
-1.06726e-19
-0.000197356
9.91029e-20
0.000129599
0.000140511
0.000131571
0.00210766
0.013149
0.00223556
0.00433894
0.00446684
-0.000421533
-7.02554e-05
-0.000210766
-1.15196e-19
-0.000447112
7.45186e-05
-0.000867788
0.000144631
-0.000893368
0.000148895
-0.000223556
-1.15196e-19
-0.000223128
1.13502e-19
0.000140511
0.000149037
0.000148752
0.00223556
0.0137898
0.00227834
0.00461655
0.00465933
-0.000447112
-7.45186e-05
-0.000223556
-1.21973e-19
-0.000455667
7.59445e-05
-0.00092331
0.000153885
-0.000931866
0.000155311
-0.000227834
-1.16891e-19
-0.000238099
1.20279e-19
0.000149037
0.000151889
0.000158733
0.00227834
0.0137701
0.00222092
0.00466414
0.00460672
-0.000455667
-7.59445e-05
-0.000227834
-1.23667e-19
-0.000444183
7.40305e-05
-0.000932829
0.000155471
-0.000921345
0.000153557
-0.000222092
-1.10114e-19
-0.000238581
1.21973e-19
0.000151889
0.000148061
0.000159054
0.00260417
0.00222092
0.0159979
0.00577804
0.00539478
-0.000520833
-8.68056e-05
-0.000260417
-8.47033e-21
-0.000444183
-7.40305e-05
-0.000222092
-1.20279e-19
-0.00115561
0.000192601
-0.00107896
0.000179826
-0.000317387
-1.66018e-19
0.000148061
0.000173611
0.000211591
0.00260417
0.00577804
0.0208155
0.00213338
0.00567023
0.00462974
-0.000260417
-1.40607e-19
-0.000520833
-8.68056e-05
-0.00115561
-0.000192601
-0.000317387
-1.74489e-19
-0.000426676
7.11127e-05
-0.00113405
0.000189008
-0.000925948
0.000154325
-0.000213338
-1.07573e-19
-0.000249636
1.28749e-19
0.000173611
0.000142225
0.000211591
0.000166424
0.00213338
0.0130808
0.00245703
0.00408339
0.00440703
-0.000426676
-7.11127e-05
-0.000213338
-1.15196e-19
-0.000491405
8.19009e-05
-0.000816677
0.000136113
-0.000881406
0.000146901
-0.000245703
-1.27055e-19
-0.000195001
9.65618e-20
0.000142225
0.000163802
0.00013
0.00245703
0.0151149
0.00253105
0.00502639
0.0051004
-0.000491405
-8.19009e-05
-0.000245703
-1.35525e-19
-0.000506209
8.43682e-05
-0.00100528
0.000167546
-0.00102008
0.000170013
-0.000253105
-1.28749e-19
-0.000256936
1.30443e-19
0.000163802
0.000168736
0.000171291
0.00253105
0.0147573
0.00233337
0.00504528
0.0048476
-0.000506209
-8.43682e-05
-0.000253105
-1.38913e-19
-0.000466674
7.7779e-05
-0.00100906
0.000168176
-0.00096952
0.000161587
-0.000233337
-1.18585e-19
-0.000251423
1.30443e-19
0.000168736
0.000155558
0.000167615
0.00233337
0.0131456
0.00208849
0.00448428
0.00423941
-0.000466674
-7.7779e-05
-0.000233337
-1.25361e-19
-0.000417699
6.96165e-05
-0.000896857
0.000149476
-0.000847882
0.000141314
-0.000208849
-1.09267e-19
-0.000215091
1.10114e-19
0.000155558
0.000139233
0.000143394
0.00208849
0.0115252
0.00191176
0.00385083
0.00367409
-0.000417699
-6.96165e-05
-0.000208849
-1.15196e-19
-0.000382351
6.37252e-05
-0.000770166
0.000128361
-0.000734818
0.00012247
-0.000191176
-9.65618e-20
-0.000176233
8.97855e-20
0.000139233
0.00012745
0.000117489
0.00209025
0.00191176
0.0113796
0.00359955
0.00377804
-0.000418049
-6.96749e-05
-0.000209025
-5.0822e-21
-0.000382351
-6.37252e-05
-0.000191176
-1.01644e-19
-0.00071991
0.000119985
-0.000755608
0.000125935
-0.000168779
8.47033e-20
0.00012745
0.00013935
0.000112519
0.00204723
0.0110568
0.0018212
0.00370721
0.00348118
-0.000409446
-6.82411e-05
-0.000204723
-1.11808e-19
-0.00036424
6.07067e-05
-0.000741441
0.000123574
-0.000696235
0.000116039
-0.00018212
-9.31736e-20
-0.000165997
8.30092e-20
0.000136482
0.000121413
0.000110665
0.0018212
0.010812
0.00192355
0.00348244
0.00358479
-0.00036424
-6.07067e-05
-0.00018212
-9.82558e-20
-0.000384711
6.41185e-05
-0.000696488
0.000116081
-0.000716959
0.000119493
-0.000192355
-9.82558e-20
-0.000166124
8.47033e-20
0.000121413
0.000128237
0.000110749
0.00192355
0.0117603
0.00204529
0.00383488
0.00395662
-0.000384711
-6.41185e-05
-0.000192355
-1.05032e-19
-0.000409058
6.81764e-05
-0.000766976
0.000127829
-0.000791323
0.000131887
-0.000204529
-1.03338e-19
-0.000191133
9.91029e-20
0.000128237
0.000136353
0.000127422
0.00204529
0.0123838
0.00211338
0.00407853
0.00414662
-0.000409058
-6.81764e-05
-0.000204529
-1.11808e-19
-0.000422677
7.04461e-05
-0.000815705
0.000135951
-0.000829324
0.000138221
-0.000211338
-1.10961e-19
-0.000203324
1.04185e-19
0.000136353
0.000140892
0.000135549
0.00211338
0.0134801
0.00237036
0.00436969
0.00462666
-0.000422677
-7.04461e-05
-0.000211338
-1.15196e-19
-0.000474071
7.90119e-05
-0.000873938
0.000145656
-0.000925333
0.000154222
-0.000237036
-1.21973e-19
-0.000225631
1.15196e-19
0.000140892
0.000158024
0.00015042
0.00237036
0.0176168
0.00309706
0.00643805
0.00571135
-0.000474071
-7.90119e-05
-0.000237036
-1.32137e-19
-0.000619411
0.000103235
-0.00128761
0.000214602
-0.00114227
0.000190378
-0.000309706
-1.57548e-19
-0.0003341
-1.72795e-19
0.000158024
0.00020647
0.000222733
0.00260417
0.00643574
0.00309706
0.0190656
0.00692863
-0.000260417
-6.77626e-21
-0.000520833
-8.68056e-05
-0.00128715
-0.000214525
-0.000383157
-1.01644e-20
-0.000619411
-0.000103235
-0.000309706
-1.69407e-19
-0.00138573
0.000230954
0.000173611
0.00020647
0.000255438
0.00717025
0.00715975
0.00643805
0.00692863
0.0482623
0.00732708
0.00653677
0.00670178
-0.000333868
-6.77626e-21
-0.000383157
-2.10064e-19
-0.00143405
-0.000239008
-0.00143195
-0.000238658
-0.000382107
-1.01644e-20
-0.000309706
-1.01644e-20
-0.00128761
-0.000214602
-0.0003341
-1.81265e-19
-0.00138573
-0.000230954
-0.00146542
0.000244236
-0.00130735
0.000217892
-0.00134036
0.000223393
-0.0003506
-1.79571e-19
-0.000319578
1.64324e-19
0.000222579
0.000254738
0.00020647
0.000255438
0.000222733
0.000233734
0.000213052
0.00664708
0.00571903
0.00732708
0.0380433
0.00579165
0.00597555
0.00658292
-0.000282601
-6.77626e-21
-0.000382107
-2.06676e-19
-0.00132942
-0.000221569
-0.00114381
-0.000190634
-0.000289303
-3.38813e-21
-0.00146542
-0.000244236
-0.0003506
-1.89735e-19
-0.00115833
0.000193055
-0.00119511
0.000199185
-0.00131658
0.000219431
-0.000289863
-1.47384e-19
-0.000307692
-1.57548e-19
0.0001884
0.000254738
0.000192868
0.000193242
0.000233734
0.000205128
0.00544123
0.00501886
0.00579165
0.0321184
0.00495698
0.005661
0.0052487
-0.00025482
-5.0822e-21
-0.000289303
-1.57548e-19
-0.00108825
-0.000181374
-0.00100377
-0.000167295
-0.000247066
-6.77626e-21
-0.00115833
-0.000193055
-0.000289863
-1.57548e-19
-0.000991396
0.000165233
-0.0011322
0.0001887
-0.00104974
0.000174957
-0.000248632
-1.27055e-19
-0.000276238
1.42302e-19
0.00016988
0.000192868
0.000164711
0.000193242
0.000165755
0.000184158
0.00476475
0.00438791
0.00495698
0.0274883
0.00419246
0.00439926
0.00478694
-0.000229409
-3.38813e-21
-0.000247066
-1.33831e-19
-0.000952951
-0.000158825
-0.000877582
-0.000146264
-0.000209382
-6.77626e-21
-0.000991396
-0.000165233
-0.000248632
-1.35525e-19
-0.000838491
0.000139749
-0.000879852
0.000146642
-0.000957388
0.000159565
-0.000209864
-1.06726e-19
-0.000230062
-1.16891e-19
0.00015294
0.000164711
0.000139588
0.000139909
0.000165755
0.000153374
0.00414808
0.00378299
0.00419246
0.0229244
0.00339801
0.00391612
0.00348676
-0.000205426
-5.0822e-21
-0.000209382
-1.15196e-19
-0.000829615
-0.000138269
-0.000756598
-0.0001261
-0.000172873
-1.69407e-21
-0.000838491
-0.000139749
-0.000209864
-1.15196e-19
-0.000679602
0.000113267
-0.000783224
0.000130537
-0.000697353
0.000116225
-0.000166928
-8.89385e-20
-0.000181748
9.31736e-20
0.000136951
0.000139588
0.000115249
0.000139909
0.000111286
0.000121165
0.00361739
0.0035578
0.00339801
0.0188525
0.00292067
0.00288818
0.00247044
-0.000188867
-5.0822e-21
-0.000172873
-9.40207e-20
-0.000723479
-0.00012058
-0.00071156
-0.000118593
-0.000166913
-5.0822e-21
-0.000679602
-0.000113267
-0.000166928
-9.23266e-20
-0.000584135
9.73558e-05
-0.000577636
9.62727e-05
-0.000494088
8.2348e-05
-0.000125154
-6.35275e-20
-0.00012189
6.09864e-20
0.000125911
0.000115249
0.000111275
0.000111286
8.34361e-05
8.12599e-05
0.00411964
0.00374502
0.00369454
0.00292067
0.019862
0.0028907
0.00249146
-0.000207589
-1.13502e-19
-0.000204376
-3.38813e-21
-0.000823929
-0.000137321
-0.000166913
-9.06325e-20
-0.000749004
-0.000124834
-0.000738909
-0.000123151
-0.000165078
-6.77626e-21
-0.000584135
-9.73558e-05
-0.000125154
-6.69156e-20
-0.00057814
9.63567e-05
-0.000498292
8.30486e-05
-0.000123992
-6.35275e-20
0.000138392
0.000111275
0.000136251
0.000110052
8.34361e-05
8.26611e-05
0.00347474
0.00349425
0.0028907
0.0184461
0.00330099
0.00244731
0.00283809
-0.000182396
-3.38813e-21
-0.000165078
-9.06325e-20
-0.000694948
-0.000115825
-0.00069885
-0.000116475
-0.00016703
-3.38813e-21
-0.00057814
-9.63567e-05
-0.000123992
-6.77626e-20
-0.000660198
0.000110033
-0.000489463
8.15771e-05
-0.000567619
9.46032e-05
-0.00016307
-8.47033e-20
-0.00012074
6.18334e-20
0.000121597
0.000110052
0.000111353
8.26611e-05
0.000108713
8.04932e-05
0.00361428
0.00391754
0.00330099
0.0220011
0.00398018
0.003782
0.00340607
-0.000194398
-5.0822e-21
-0.00016703
-8.97855e-20
-0.000722856
-0.000120476
-0.000783508
-0.000130585
-0.000197356
-3.38813e-21
-0.000660198
-0.000110033
-0.00016307
-8.89385e-20
-0.000796036
0.000132673
-0.0007564
0.000126067
-0.000681215
0.000113536
-0.000200662
-1.04185e-19
-0.000177538
-9.23266e-20
0.000129599
0.000111353
0.000131571
0.000133775
0.000108713
0.000118358
0.00408122
0.00433894
0.00398018
0.0256174
0.00452959
0.0041979
0.00448959
-0.000210766
-3.38813e-21
-0.000197356
-1.06726e-19
-0.000816244
-0.000136041
-0.000867788
-0.000144631
-0.000223128
-5.0822e-21
-0.000796036
-0.000132673
-0.000200662
-1.0842e-19
-0.000905917
0.000150986
-0.00083958
0.00013993
-0.000897917
0.000149653
-0.000229831
-1.18585e-19
-0.000219128
1.11808e-19
0.000140511
0.000131571
0.000148752
0.000133775
0.000153221
0.000146085
0.00446684
0.00461655
0.00452959
0.0284055
0.00489079
0.0048451
0.0050566
-0.000223556
-6.77626e-21
-0.000223128
-1.21973e-19
-0.000893368
-0.000148895
-0.00092331
-0.000153885
-0.000238099
-3.38813e-21
-0.000905917
-0.000150986
-0.000229831
-1.25361e-19
-0.000978159
0.000163026
-0.000969021
0.000161503
-0.00101132
0.000168553
-0.00025098
-1.30443e-19
-0.00025468
1.33831e-19
0.000149037
0.000148752
0.000158733
0.000153221
0.00016732
0.000169786
0.00465933
0.00466414
0.00489079
0.0293038
0.00483702
0.00515554
0.00509695
-0.000227834
-1.01644e-20
-0.000238099
-1.30443e-19
-0.000931866
-0.000155311
-0.000932829
-0.000155471
-0.000238581
-3.38813e-21
-0.000978159
-0.000163026
-0.00025098
-1.35525e-19
-0.000967404
0.000161234
-0.00103111
0.000171851
-0.00101939
0.000169898
-0.000245121
-1.25361e-19
-0.000264574
1.37219e-19
0.000151889
0.000158733
0.000159054
0.00016732
0.000163414
0.000176383
0.00460672
0.00539478
0.00567023
0.00483702
0.0296137
0.00457507
0.00452992
-0.000222092
-3.38813e-21
-0.000238581
-1.28749e-19
-0.000921345
-0.000153557
-0.000317387
-1.01644e-20
-0.00107896
-0.000179826
-0.00113405
-0.000189008
-0.000249636
-6.77626e-21
-0.000967404
-0.000161234
-0.000245121
-1.33831e-19
-0.000915014
0.000152502
-0.000905984
0.000150997
-0.000207871
-1.09267e-19
0.000148061
0.000159054
0.000211591
0.000166424
0.000163414
0.000138581
0.00462974
0.00408339
0.00457507
0.0214627
0.00402288
0.00415159
-0.000213338
-3.38813e-21
-0.000249636
-1.35525e-19
-0.000925948
-0.000154325
-0.000816677
-0.000136113
-0.000195001
-5.0822e-21
-0.000915014
-0.000152502
-0.000207871
-1.13502e-19
-0.000804577
0.000134096
-0.000830317
0.000138386
-0.000207288
-1.05879e-19
0.000142225
0.00013
0.000166424
0.000138581
0.000138192
0.00440703
0.00502639
0.00402288
0.0307427
0.00578985
0.00517445
0.00632206
-0.000245703
-5.0822e-21
-0.000195001
-1.05032e-19
-0.000881406
-0.000146901
-0.00100528
-0.000167546
-0.000256936
-8.47033e-21
-0.000804577
-0.000134096
-0.000207288
-1.13502e-19
-0.00115797
0.000192995
-0.00103489
0.000172482
-0.00126441
0.000210735
-0.000322049
-1.67713e-19
-0.000310157
1.60936e-19
0.000163802
0.00013
0.000171291
0.000214699
0.000138192
0.000206772
0.0051004
0.00504528
0.00578985
0.0337514
0.0051692
0.00604057
0.00660608
-0.000253105
-1.01644e-20
-0.000256936
-1.38913e-19
-0.00102008
-0.000170013
-0.00100906
-0.000168176
-0.000251423
-6.77626e-21
-0.00115797
-0.000192995
-0.000322049
-1.76183e-19
-0.00103384
0.000172307
-0.00120811
0.000201352
-0.00132122
0.000220203
-0.000265497
-1.35525e-19
-0.000338559
-1.72795e-19
0.000168736
0.000171291
0.000167615
0.000176998
0.000214699
0.000225706
0.0048476
0.00448428
0.0051692
0.0285982
0.00432996
0.00512151
0.00464559
-0.000233337
-5.0822e-21
-0.000251423
-1.38913e-19
-0.00096952
-0.000161587
-0.000896857
-0.000149476
-0.000215091
-6.77626e-21
-0.00103384
-0.000172307
-0.000265497
-1.43996e-19
-0.000865993
0.000144332
-0.0010243
0.000170717
-0.000929118
0.000154853
-0.000217905
-1.13502e-19
-0.000246654
1.23667e-19
0.000155558
0.000167615
0.000143394
0.000176998
0.00014527
0.000164436
0.00423941
0.00385083
0.00432996
0.0235276
0.00346737
0.00405703
0.00358302
-0.000208849
-5.0822e-21
-0.000215091
-1.16891e-19
-0.000847882
-0.000141314
-0.000770166
-0.000128361
-0.000176233
-8.47033e-21
-0.000865993
-0.000144332
-0.000217905
-1.16891e-19
-0.000693475
0.000115579
-0.000811407
0.000135234
-0.000716605
0.000119434
-0.000170504
-8.55503e-20
-0.000187798
9.40207e-20
0.000139233
0.000143394
0.000117489
0.00014527
0.000113669
0.000125199
0.00367409
0.00359955
0.00346737
0.0191475
0.00295431
0.00294536
0.00250683
-0.000191176
-3.38813e-21
-0.000176233
-9.48677e-20
-0.000734818
-0.00012247
-0.00071991
-0.000119985
-0.000168779
-5.0822e-21
-0.000693475
-0.000115579
-0.000170504
-9.23266e-20
-0.000590861
9.84769e-05
-0.000589072
9.81786e-05
-0.000501367
8.35611e-05
-0.000126651
-6.43745e-20
-0.000124032
6.35275e-20
0.00012745
0.000117489
0.000112519
0.000113669
8.44343e-05
8.2688e-05
0.00413748
0.00377804
0.00370721
0.00295431
0.0200032
0.00290982
0.00251636
-0.000209025
-1.13502e-19
-0.000204723
-3.38813e-21
-0.000827496
-0.000137916
-0.000168779
-9.23266e-20
-0.000755608
-0.000125935
-0.000741441
-0.000123574
-0.000165997
-5.0822e-21
-0.000590861
-9.84769e-05
-0.000126651
-6.86097e-20
-0.000581964
9.6994e-05
-0.000503272
8.38786e-05
-0.000124984
-6.35275e-20
0.00013935
0.000112519
0.000136482
0.000110665
8.44343e-05
8.3323e-05
0.00348118
0.00348244
0.00290982
0.0184768
0.00329119
0.00246604
0.00284615
-0.00018212
-6.77626e-21
-0.000165997
-8.97855e-20
-0.000696235
-0.000116039
-0.000696488
-0.000116081
-0.000166124
-5.0822e-21
-0.000581964
-9.6994e-05
-0.000124984
-6.77626e-20
-0.000658239
0.000109706
-0.000493208
8.22013e-05
-0.00056923
9.48717e-05
-0.000162995
-8.21622e-20
-0.00012162
6.09864e-20
0.000121413
0.000110665
0.000110749
8.3323e-05
0.000108664
8.10797e-05
0.00358479
0.00383488
0.00329119
0.0217142
0.00387442
0.00373103
0.00339789
-0.000192355
-3.38813e-21
-0.000166124
-9.23266e-20
-0.000716959
-0.000119493
-0.000766976
-0.000127829
-0.000191133
-5.0822e-21
-0.000658239
-0.000109706
-0.000162995
-8.80914e-20
-0.000774883
0.000129147
-0.000746206
0.000124368
-0.000679579
0.000113263
-0.000196309
-1.00797e-19
-0.000176794
-9.14796e-20
0.000128237
0.000110749
0.000127422
0.000130873
0.000108664
0.000117863
0.00395662
0.00407853
0.00387442
0.0242183
0.00412017
0.00403235
0.0041562
-0.000204529
-6.77626e-21
-0.000191133
-1.05032e-19
-0.000791323
-0.000131887
-0.000815705
-0.000135951
-0.000203324
-3.38813e-21
-0.000774883
-0.000129147
-0.000196309
-1.0842e-19
-0.000824034
0.000137339
-0.00080647
0.000134412
-0.000831239
0.00013854
-0.000208694
-1.0842e-19
-0.000206926
1.02491e-19
0.000136353
0.000127422
0.000135549
0.000130873
0.000139129
0.000137951
0.00414662
0.00436969
0.00412017
0.0244604
0.00415141
0.0039322
0.00374036
-0.000211338
-3.38813e-21
-0.000203324
-1.11808e-19
-0.000829324
-0.000138221
-0.000873938
-0.000145656
-0.000225631
-1.69407e-21
-0.000824034
-0.000137339
-0.000208694
-1.13502e-19
-0.000830281
0.00013838
-0.00078644
0.000131073
-0.000748073
0.000124679
-0.00018951
-9.65618e-20
-0.000184526
9.48677e-20
0.000140892
0.000135549
0.00015042
0.000139129
0.00012634
0.000123018
0.00462666
0.00571135
0.00653677
0.00415141
0.0304277
0.0053511
0.00405043
-0.000237036
-5.0822e-21
-0.000225631
-1.25361e-19
-0.000925333
-0.000154222
-0.0003341
-6.77626e-21
-0.00114227
-0.000190378
-0.00130735
-0.000217892
-0.000319578
-1.01644e-20
-0.000830281
-0.00013838
-0.00018951
-1.03338e-19
-0.00107022
0.00017837
-0.000810085
0.000135014
-0.000215533
-1.11808e-19
0.000158024
0.00015042
0.000222733
0.00012634
0.000143689
0.000213052
0.00597555
0.005661
0.036801
0.00646794
0.00560492
0.00682002
0.00627154
-0.000289863
-6.77626e-21
-0.00119511
-0.000199185
-0.000307692
-1.69407e-19
-0.0011322
-0.0001887
-0.000276238
-5.0822e-21
-0.00129359
0.000215598
-0.00112098
0.000186831
-0.001364
0.000227334
-0.00125431
0.000209051
-0.000339102
1.71101e-19
-0.000284254
-1.47384e-19
-0.0003429
1.77877e-19
0.000193242
0.000205128
0.000184158
0.000226068
0.0002286
0.000189503
0.00670178
0.00658292
0.0053511
0.00646794
0.0356228
0.00464169
0.00587739
-0.0003506
-6.77626e-21
-0.000319578
-1.72795e-19
-0.00134036
-0.000223393
-0.000307692
-1.35525e-20
-0.00131658
-0.000219431
-0.00107022
-0.00017837
-0.000215533
-1.15196e-19
-0.00129359
-0.000215598
-0.000339102
-1.35525e-20
-0.000928338
0.000154723
-0.00117548
0.000195913
-0.000248636
1.27055e-19
0.000233734
0.000205128
0.000143689
0.000213052
0.000165758
0.000226068
0.00439926
0.00391612
0.0252273
0.0036879
0.0046604
0.00403713
0.00452649
-0.000209864
-3.38813e-21
-0.000879852
-0.000146642
-0.000230062
-1.25361e-19
-0.000783224
-0.000130537
-0.000181748
-5.0822e-21
-0.000737581
0.00012293
-0.000932079
0.000155347
-0.000807427
0.000134571
-0.000905298
0.000150883
-0.000187043
-9.57147e-20
-0.000235978
1.20279e-19
-0.000216671
-1.10114e-19
0.000139909
0.000121165
0.000153374
0.000124695
0.000144447
0.000157319
0.00348676
0.00288818
0.0036879
0.0189902
0.00245699
0.00291903
0.00355137
-0.000166928
-1.69407e-21
-0.000181748
-9.82558e-20
-0.000697353
-0.000116225
-0.000577636
-9.62727e-05
-0.00012189
-3.38813e-21
-0.000737581
-0.00012293
-0.000187043
-9.99499e-20
-0.000491397
8.18995e-05
-0.000583806
9.7301e-05
-0.000710274
0.000118379
-0.000123809
-6.26804e-20
-0.000168094
-8.63974e-20
0.000111286
0.000121165
8.12599e-05
8.25392e-05
0.000112063
0.000124695
0.00247044
0.00249146
0.00244731
0.00245699
0.0123117
0.00244549
-0.000125154
-2.5411e-21
-0.00012189
-6.60686e-20
-0.000494088
-8.2348e-05
-0.000123992
-5.0822e-21
-0.000498292
-8.30486e-05
-0.000489463
-8.15771e-05
-0.00012074
-1.69407e-21
-0.000491397
-8.18995e-05
-0.000123809
-6.86097e-20
-0.000489097
8.15162e-05
8.34361e-05
8.12599e-05
8.26611e-05
8.04932e-05
8.25392e-05
0.003782
0.0041979
0.0245023
0.00362452
0.00448278
0.00398638
0.00442873
-0.000200662
-3.38813e-21
-0.0007564
-0.000126067
-0.000177538
-9.74088e-20
-0.00083958
-0.00013993
-0.000219128
-3.38813e-21
-0.000724903
0.000120817
-0.000896555
0.000149426
-0.000797275
0.000132879
-0.000885746
0.000147624
-0.000184914
9.23266e-20
-0.00022915
-1.20279e-19
-0.000213723
1.06726e-19
0.000133775
0.000118358
0.000146085
0.000152767
0.000123276
0.000142482
0.00283809
0.00340607
0.00291903
0.00244549
0.00362452
0.0187633
0.00353008
-0.00016307
-6.77626e-21
-0.00012074
-6.52215e-20
-0.000567619
-9.46032e-05
-0.000177538
-6.77626e-21
-0.000681215
-0.000113536
-0.000123809
-1.69407e-21
-0.000583806
-9.7301e-05
-0.000168094
-8.97855e-20
-0.000489097
-8.15162e-05
-0.000724903
-0.000120817
-0.000184914
-6.77626e-21
-0.000706017
0.000117669
0.000108713
8.04932e-05
0.000118358
8.25392e-05
0.000112063
0.000123276
0.00448959
0.0048451
0.00448278
0.0292834
0.00526624
0.00488587
0.00531382
-0.000229831
-5.0822e-21
-0.000219128
-1.18585e-19
-0.000897917
-0.000149653
-0.000969021
-0.000161503
-0.00025468
-6.77626e-21
-0.000896555
-0.000149426
-0.00022915
-1.25361e-19
-0.00105325
0.000175541
-0.000977174
0.000162862
-0.00106276
0.000177127
-0.000271945
-1.37219e-19
-0.000259437
1.32137e-19
0.000153221
0.000146085
0.000169786
0.000152767
0.000181296
0.000172958
0.0050566
0.00515554
0.00526624
0.034294
0.00589549
0.00672523
0.00619493
-0.00025098
-6.77626e-21
-0.00025468
-1.40607e-19
-0.00101132
-0.000168553
-0.00103111
-0.000171851
-0.000264574
-6.77626e-21
-0.00105325
-0.000175541
-0.000271945
-1.47384e-19
-0.0011791
0.000196516
-0.00134505
0.000224174
-0.00123899
0.000206498
-0.000324975
-1.69407e-19
-0.000347549
-1.79571e-19
0.00016732
0.000169786
0.000176383
0.00021665
0.000181296
0.000231699
0.00509695
0.00452992
0.00415159
0.00517445
0.00589549
0.0311997
0.00635132
-0.000245121
-6.77626e-21
-0.000264574
-1.4569e-19
-0.00101939
-0.000169898
-0.000207871
-3.38813e-21
-0.000905984
-0.000150997
-0.000207288
-3.38813e-21
-0.000830317
-0.000138386
-0.00103489
-0.000172482
-0.000310157
-3.38813e-21
-0.0011791
-0.000196516
-0.000324975
-1.76183e-19
-0.00127026
0.000211711
0.000163414
0.000176383
0.000138581
0.000138192
0.000206772
0.00021665
0.00604057
0.00512151
0.0348624
0.0068771
0.00501892
0.00543259
0.00637171
-0.000265497
-6.77626e-21
-0.00120811
-0.000201352
-0.000338559
-1.84653e-19
-0.0010243
-0.000170717
-0.000246654
-6.77626e-21
-0.00137542
0.000229237
-0.00100378
0.000167297
-0.00108652
0.000181086
-0.00127434
0.00021239
-0.00034915
1.76183e-19
-0.000255238
-1.30443e-19
-0.000288021
-1.49078e-19
0.000176998
0.000225706
0.000164436
0.000170159
0.000232767
0.000192014
0.00632206
0.00660608
0.00672523
0.00635132
0.0068771
0.0470308
0.00708252
0.0070665
-0.000322049
-1.01644e-20
-0.000310157
-1.69407e-19
-0.00126441
-0.000210735
-0.000338559
-1.35525e-20
-0.00132122
-0.000220203
-0.000324975
-1.01644e-20
-0.00134505
-0.000224174
-0.000347549
-1.88041e-19
-0.00127026
-0.000211711
-0.00137542
-0.000229237
-0.00034915
-1.35525e-20
-0.0014165
0.000236084
-0.0014133
0.00023555
-0.000359102
-1.82959e-19
0.000214699
0.000225706
0.000206772
0.00021665
0.000232767
0.000231699
0.000239401
0.00464559
0.00405703
0.00501892
0.0265767
0.00381334
0.00421241
0.00482944
-0.000217905
-5.0822e-21
-0.000246654
-1.32137e-19
-0.000929118
-0.000154853
-0.000811407
-0.000135234
-0.000187798
-3.38813e-21
-0.00100378
-0.000167297
-0.000255238
-1.37219e-19
-0.000762667
0.000127111
-0.000842482
0.000140414
-0.000965889
0.000160981
-0.000193535
-9.99499e-20
-0.000227706
-1.16891e-19
0.00014527
0.000164436
0.000125199
0.000129024
0.000170159
0.000151804
0.00358302
0.00294536
0.00381334
0.0194656
0.00249606
0.00297409
0.0036537
-0.000170504
-5.0822e-21
-0.000187798
-9.99499e-20
-0.000716605
-0.000119434
-0.000589072
-9.81786e-05
-0.000124032
-3.38813e-21
-0.000762667
-0.000127111
-0.000193535
-1.03338e-19
-0.000499211
8.32019e-05
-0.000594818
9.91363e-05
-0.000730741
0.00012179
-0.000125574
-6.52215e-20
-0.000171835
-8.89385e-20
0.000113669
0.000125199
8.2688e-05
0.000129024
8.37158e-05
0.000114557
0.00250683
0.00251636
0.00246604
0.00249606
0.0124572
0.00247193
-0.000126651
-2.5411e-21
-0.000124032
-6.77626e-20
-0.000501367
-8.35611e-05
-0.000124984
-5.0822e-21
-0.000503272
-8.38786e-05
-0.000493208
-8.22013e-05
-0.00012162
-3.38813e-21
-0.000499211
-8.32019e-05
-0.000125574
-6.86097e-20
-0.000494387
8.23978e-05
8.44343e-05
8.2688e-05
8.3323e-05
8.10797e-05
8.37158e-05
0.00373103
0.00403235
0.024226
0.00363982
0.00431845
0.00406353
0.00444084
-0.000196309
-5.0822e-21
-0.000746206
-0.000124368
-0.000176794
-9.65618e-20
-0.00080647
-0.000134412
-0.000206926
-1.69407e-21
-0.000727963
0.000121327
-0.000863691
0.000143948
-0.000812706
0.000135451
-0.000888169
0.000148028
-0.000187188
9.74088e-20
-0.000224919
-1.16891e-19
-0.000219165
1.13502e-19
0.000130873
0.000117863
0.000137951
0.000149946
0.000124792
0.00014611
0.00284615
0.00339789
0.00297409
0.00247193
0.00363982
0.0189201
0.00359023
-0.000162995
-6.77626e-21
-0.00012162
-6.77626e-20
-0.00056923
-9.48717e-05
-0.000176794
-5.0822e-21
-0.000679579
-0.000113263
-0.000125574
-2.5411e-21
-0.000594818
-9.91363e-05
-0.000171835
-9.23266e-20
-0.000494387
-8.23978e-05
-0.000727963
-0.000121327
-0.000187188
-1.69407e-21
-0.000718046
0.000119674
0.000108664
8.10797e-05
0.000117863
8.37158e-05
0.000114557
0.000124792
0.0041562
0.0039322
0.00431845
0.0268652
0.00413787
0.00518194
0.00513853
-0.000208694
-6.77626e-21
-0.000206926
-1.10114e-19
-0.000831239
-0.00013854
-0.00078644
-0.000131073
-0.000184526
-3.38813e-21
-0.000863691
-0.000143948
-0.000224919
-1.25361e-19
-0.000827574
0.000137929
-0.00103639
0.000172731
-0.00102771
0.000171284
-0.000229261
-1.15196e-19
-0.000288933
-1.4569e-19
0.000139129
0.000137951
0.000123018
0.00015284
0.000149946
0.000192622
0.00374036
0.00405043
0.00464169
0.00413787
0.0213493
0.00477897
-0.00018951
-5.0822e-21
-0.000184526
-1.01644e-19
-0.000748073
-0.000124679
-0.000215533
-6.77626e-21
-0.000810085
-0.000135014
-0.000928338
-0.000154723
-0.000248636
-3.38813e-21
-0.000827574
-0.000137929
-0.000229261
-1.21973e-19
-0.000955794
0.000159299
0.00012634
0.000123018
0.000143689
0.000165758
0.00015284
0.0052487
0.00478694
0.00560492
0.0046604
0.0308418
0.00502904
0.0055118
-0.000248632
-3.38813e-21
-0.000276238
-1.49078e-19
-0.00104974
-0.000174957
-0.000230062
-5.0822e-21
-0.000957388
-0.000159565
-0.00112098
-0.000186831
-0.000284254
-1.52466e-19
-0.000932079
-0.000155347
-0.000235978
-5.0822e-21
-0.00100581
0.000167635
-0.00110236
0.000183727
-0.000266926
-1.35525e-19
0.000165755
0.000184158
0.000153374
0.000189503
0.000157319
0.000177951
0.00403713
0.00355137
0.00398638
0.00353008
0.0239716
0.00441856
0.00444803
-0.000187043
-6.77626e-21
-0.000807427
-0.000134571
-0.000216671
-1.18585e-19
-0.000168094
-5.0822e-21
-0.000710274
-0.000118379
-0.000184914
-1.01644e-19
-0.000797275
-0.000132879
-0.000213723
-5.0822e-21
-0.000706017
-0.000117669
-0.000883712
0.000147285
-0.000889607
0.000148268
-0.000228133
-1.15196e-19
0.000112063
0.000124695
0.000123276
0.000144447
0.000142482
0.000152088
0.00442873
0.00488587
0.00441856
0.029176
0.00531511
0.00484415
0.00528356
-0.00022915
-6.77626e-21
-0.000213723
-1.15196e-19
-0.000885746
-0.000147624
-0.000977174
-0.000162862
-0.000259437
-8.47033e-21
-0.000883712
-0.000147285
-0.000228133
-1.25361e-19
-0.00106302
0.00017717
-0.00096883
0.000161472
-0.00105671
0.000176119
-0.000272073
-1.38913e-19
-0.000256283
1.27055e-19
0.000152767
0.000172958
0.000142482
0.000152088
0.000181382
0.000170855
0.00421241
0.0036537
0.00406353
0.00359023
0.0247841
0.00467484
0.00458943
-0.000193535
-3.38813e-21
-0.000842482
-0.000140414
-0.000227706
-1.21973e-19
-0.000171835
-3.38813e-21
-0.000730741
-0.00012179
-0.000187188
-1.03338e-19
-0.000812706
-0.000135451
-0.000219165
-3.38813e-21
-0.000718046
-0.000119674
-0.000934968
0.000155828
-0.000917886
0.000152981
-0.000239778
1.23667e-19
0.000129024
0.000151804
0.000114557
0.000124792
0.00014611
0.000159852
0.00543259
0.00482944
0.00467484
0.0315322
0.00580245
0.00513419
0.00565866
-0.000255238
-5.0822e-21
-0.00108652
-0.000181086
-0.000288021
-1.57548e-19
-0.000227706
-3.38813e-21
-0.000965889
-0.000160981
-0.000934968
-0.000155828
-0.000239778
-6.77626e-21
-0.00116049
0.000193415
-0.00102684
0.00017114
-0.00113173
0.000188622
-0.000292224
1.5416e-19
-0.000273641
-1.38913e-19
0.000170159
0.000151804
0.000192014
0.000159852
0.000182428
0.000194816
0.00637171
0.00708252
0.00580245
0.03776
0.00657054
0.00593778
0.00599505
-0.00034915
-1.89735e-19
-0.000288021
0
-0.00127434
-0.00021239
-0.0014165
-0.000236084
-0.000359102
-1.96512e-19
-0.00116049
-0.000193415
-0.000292224
-3.38813e-21
-0.00131411
0.000219018
-0.00118756
0.000197926
-0.00119901
0.000199835
-0.000297952
1.50772e-19
-0.000301553
-1.55854e-19
0.000232767
0.000192014
0.000239401
0.000198635
0.000194816
0.000201035
0.00531382
0.00619493
0.0070665
0.00531511
0.00657054
0.0361611
0.00570025
-0.000271945
-6.77626e-21
-0.000259437
-1.40607e-19
-0.00106276
-0.000177127
-0.000347549
-1.01644e-20
-0.00123899
-0.000206498
-0.000359102
-1.01644e-20
-0.0014133
-0.00023555
-0.00106302
-0.00017717
-0.000272073
-1.49078e-19
-0.00131411
-0.000219018
-0.000297952
-1.35525e-20
-0.00114005
0.000190008
0.000181296
0.000172958
0.000231699
0.000239401
0.000181382
0.000198635
0.00682002
0.00587739
0.00518194
0.00477897
0.0422237
0.00611276
0.0068291
0.00662353
-0.000339102
-1.86347e-19
-0.001364
-0.000227334
-0.0003429
-3.38813e-21
-0.000248636
-1.35525e-19
-0.00117548
-0.000195913
-0.000229261
-3.38813e-21
-0.00103639
-0.000172731
-0.000288933
-1.59242e-19
-0.000955794
-0.000159299
-0.00122255
0.000203759
-0.00136582
0.000227637
-0.00132471
0.000220784
-0.000322343
1.6263e-19
-0.000340011
-1.76183e-19
0.000165758
0.000226068
0.00015284
0.0002286
0.000192622
0.000214895
0.000226674
0.00444084
0.00513853
0.00458943
0.00513419
0.00611276
0.0313756
0.00595984
-0.000224919
-6.77626e-21
-0.000219165
-1.18585e-19
-0.000888169
-0.000148028
-0.000288933
-6.77626e-21
-0.00102771
-0.000171284
-0.000239778
-1.30443e-19
-0.000917886
-0.000152981
-0.00102684
-0.00017114
-0.000273641
-1.47384e-19
-0.00122255
-0.000203759
-0.000322343
-1.01644e-20
-0.00119197
0.000198661
0.000149946
0.000192622
0.00014611
0.000159852
0.000182428
0.000214895
0.00452649
0.00502904
0.00444803
0.00484415
0.0295762
0.00541744
0.005311
-0.000235978
-1.30443e-19
-0.000216671
-6.77626e-21
-0.000905298
-0.000150883
-0.00100581
-0.000167635
-0.000266926
-1.4569e-19
-0.000228133
-6.77626e-21
-0.000889607
-0.000148268
-0.00096883
-0.000161472
-0.000256283
-1.18585e-20
-0.00108349
0.000180581
-0.0010622
0.000177033
-0.000274818
1.37219e-19
0.000144447
0.000157319
0.000152088
0.000170855
0.000177951
0.000183212
0.00627154
0.0055118
0.0068291
0.00541744
0.0361049
0.00636346
0.00571154
-0.000284254
-6.77626e-21
-0.0003429
-1.89735e-19
-0.00125431
-0.000209051
-0.000266926
-5.0822e-21
-0.00110236
-0.000183727
-0.00136582
-0.000227637
-0.000340011
-1.84653e-19
-0.00108349
-0.000180581
-0.000274818
-5.0822e-21
-0.00127269
0.000212115
-0.00114231
0.000190385
-0.000296336
1.52466e-19
0.0002286
0.000189503
0.000177951
0.000183212
0.000226674
0.000197557
0.00565866
0.00593778
0.00662353
0.00595984
0.00636346
0.0365222
0.00597889
-0.000292224
-1.60936e-19
-0.000273641
-8.47033e-21
-0.00113173
-0.000188622
-0.00118756
-0.000197926
-0.000301553
-1.64324e-19
-0.000322343
-1.74489e-19
-0.000340011
-6.77626e-21
-0.00132471
-0.000220784
-0.00119197
-0.000198661
-0.00127269
-0.000212115
-0.000296336
-1.01644e-20
-0.00119578
0.000199296
0.000182428
0.000194816
0.000214895
0.000201035
0.000226674
0.000197557
0.00528356
0.00599505
0.00570025
0.005311
0.00571154
0.00597889
0.0339803
-0.000272073
-1.01644e-20
-0.000256283
-1.38913e-19
-0.00105671
-0.000176119
-0.000297952
-1.59242e-19
-0.000301553
0
-0.00119901
-0.000199835
-0.00114005
-0.000190008
-0.000274818
-1.52466e-19
-0.0010622
-0.000177033
-0.000296336
-1.6263e-19
-0.00114231
-0.000190385
-0.00119578
-0.000199296
0.000181382
0.000170855
0.000198635
0.000183212
0.000201035
0.000197557
-0.000520833
-0.000520833
-0.000260417
8.68056e-05
0
4.34028e-05
-6.2004e-06
4.34028e-05
-6.2004e-06
-2.48016e-05
8.68056e-05
-8.68056e-05
-6.77626e-21
0
9.3006e-06
-6.2004e-06
3.1002e-06
6.2004e-06
-3.1002e-06
-8.47033e-22
-0.000520833
-0.000260417
-0.000520833
4.34028e-05
-6.2004e-06
8.68056e-05
1.94818e-20
4.34028e-05
6.2004e-06
-2.48016e-05
8.68056e-05
-1.42302e-19
-8.68056e-05
-6.2004e-06
3.1002e-06
1.94818e-20
9.3006e-06
6.2004e-06
3.1002e-06
-1.09055e-20
-0.000415177
-0.000415177
-0.000207589
6.91962e-05
1.52466e-20
3.45981e-05
-4.94259e-06
3.45981e-05
-4.94259e-06
-1.97703e-05
6.91962e-05
-6.91962e-05
-1.13502e-19
1.52466e-20
7.41388e-06
-4.94259e-06
2.47129e-06
4.94259e-06
-2.47129e-06
-9.1056e-21
-0.000408752
-0.000408752
-0.000204376
6.81253e-05
0
3.40626e-05
-4.86609e-06
3.40626e-05
-4.86609e-06
-1.94644e-05
6.81253e-05
-6.81253e-05
-3.38813e-21
0
7.29914e-06
-4.86609e-06
2.43305e-06
4.86609e-06
-2.43305e-06
-6.35275e-22
-0.000823929
-0.000207589
-0.000204376
-0.000823929
3.45981e-05
-4.94259e-06
3.40626e-05
-4.86609e-06
0.000137321
1.60936e-20
3.45981e-05
4.94259e-06
3.40626e-05
4.86609e-06
-1.97703e-05
-1.94644e-05
0.000137321
-6.77626e-21
-1.11808e-19
-0.000137321
-4.94259e-06
2.47129e-06
-4.86609e-06
2.43305e-06
1.60936e-20
1.4713e-05
4.94259e-06
2.47129e-06
4.86609e-06
2.43305e-06
-8.47033e-22
-8.89385e-21
-0.000520833
-0.000520833
-0.000260417
8.68056e-05
1.94818e-20
4.34028e-05
-6.2004e-06
4.34028e-05
-6.2004e-06
-2.48016e-05
8.68056e-05
-8.68056e-05
-1.40607e-19
1.94818e-20
9.3006e-06
-6.2004e-06
3.1002e-06
6.2004e-06
-3.1002e-06
-1.10114e-20
-0.000520833
-0.000260417
-0.000520833
4.34028e-05
-6.2004e-06
8.68056e-05
0
4.34028e-05
6.2004e-06
-2.48016e-05
8.68056e-05
-8.47033e-21
-8.68056e-05
-6.2004e-06
3.1002e-06
0
9.3006e-06
6.2004e-06
3.1002e-06
-1.27055e-21
-0.000418049
-0.000418049
-0.000209025
6.96749e-05
1.60936e-20
3.48374e-05
-4.97678e-06
3.48374e-05
-4.97678e-06
-1.99071e-05
6.96749e-05
-6.96749e-05
-1.13502e-19
1.60936e-20
7.46516e-06
-4.97678e-06
2.48839e-06
4.97678e-06
-2.48839e-06
-8.99973e-21
-0.000409446
-0.000409446
-0.000204723
6.82411e-05
4.23516e-22
3.41205e-05
-4.87436e-06
3.41205e-05
-4.87436e-06
-1.94974e-05
6.82411e-05
-6.82411e-05
-3.38813e-21
4.23516e-22
7.31154e-06
-4.87436e-06
2.43718e-06
4.87436e-06
-2.43718e-06
-8.47033e-22
-0.000827496
-0.000209025
-0.000204723
-0.000827496
3.48374e-05
-4.97678e-06
3.41205e-05
-4.87436e-06
0.000137916
1.60936e-20
3.48374e-05
4.97678e-06
3.41205e-05
4.87436e-06
-1.99071e-05
-1.94974e-05
0.000137916
-5.0822e-21
-1.11808e-19
-0.000137916
-4.97678e-06
2.48839e-06
-4.87436e-06
2.43718e-06
1.60936e-20
1.47767e-05
4.97678e-06
2.48839e-06
4.87436e-06
2.43718e-06
-1.05879e-21
-8.68209e-21
-0.000667736
-0.000667736
-0.000333868
0.000111289
0
5.56447e-05
-7.94924e-06
5.56447e-05
-7.94924e-06
-3.1797e-05
0.000111289
-0.000111289
-6.77626e-21
0
1.19239e-05
-7.94924e-06
3.97462e-06
7.94924e-06
-3.97462e-06
-1.69407e-21
-0.000260417
-0.00128715
-0.00128715
-0.000383157
4.34028e-05
6.2004e-06
4.34028e-05
6.2004e-06
0.000214525
4.91279e-20
6.38595e-05
-9.12279e-06
6.38595e-05
-9.12279e-06
-2.48016e-05
-3.64911e-05
-1.32137e-19
0.000214525
-0.000214525
-2.10064e-19
-6.2004e-06
-3.1002e-06
6.2004e-06
3.1002e-06
4.91279e-20
2.29848e-05
-9.12279e-06
4.56139e-06
9.12279e-06
-4.56139e-06
-9.74088e-21
-1.65171e-20
-0.00143405
-0.000333868
-0.000383157
-0.00143405
5.56447e-05
-7.94924e-06
6.38595e-05
-9.12279e-06
0.000239008
2.6258e-20
5.56447e-05
7.94924e-06
6.38595e-05
9.12279e-06
-3.1797e-05
-3.64911e-05
0.000239008
-1.86347e-19
-1.01644e-20
-0.000239008
-7.94924e-06
3.97462e-06
-9.12279e-06
4.56139e-06
2.6258e-20
2.5608e-05
7.94924e-06
3.97462e-06
9.12279e-06
4.56139e-06
-1.43996e-20
-1.69407e-21
-0.000565201
-0.000565201
-0.000282601
9.42002e-05
0
4.71001e-05
-6.72859e-06
4.71001e-05
-6.72859e-06
-2.69143e-05
9.42002e-05
-9.42002e-05
-6.77626e-21
0
1.00929e-05
-6.72859e-06
3.36429e-06
6.72859e-06
-3.36429e-06
-8.47033e-22
-0.000333868
-0.00143195
-0.00143195
-0.000382107
5.56447e-05
7.94924e-06
5.56447e-05
7.94924e-06
0.000238658
5.59042e-20
6.36845e-05
-9.09779e-06
6.36845e-05
-9.09779e-06
-3.1797e-05
-3.63912e-05
-1.72795e-19
0.000238658
-0.000238658
-2.06676e-19
-7.94924e-06
-3.97462e-06
7.94924e-06
3.97462e-06
5.59042e-20
2.55705e-05
-9.09779e-06
4.5489e-06
9.09779e-06
-4.5489e-06
-1.3129e-20
-1.63054e-20
-0.00132942
-0.000282601
-0.000382107
-0.00132942
4.71001e-05
-6.72859e-06
6.36845e-05
-9.09779e-06
0.000221569
2.11758e-20
4.71001e-05
6.72859e-06
6.36845e-05
9.09779e-06
-2.69143e-05
-3.63912e-05
0.000221569
-1.5416e-19
-1.01644e-20
-0.000221569
-6.72859e-06
3.36429e-06
-9.09779e-06
4.5489e-06
2.11758e-20
2.37396e-05
6.72859e-06
3.36429e-06
9.09779e-06
4.5489e-06
-1.20702e-20
-1.69407e-21
-0.00050964
-0.00050964
-0.00025482
8.494e-05
0
4.247e-05
-6.06714e-06
4.247e-05
-6.06714e-06
-2.42686e-05
8.494e-05
-8.494e-05
-5.0822e-21
0
9.10072e-06
-6.06714e-06
3.03357e-06
6.06714e-06
-3.03357e-06
-1.27055e-21
-0.000282601
-0.00114381
-0.00114381
-0.000289303
4.71001e-05
6.72859e-06
4.71001e-05
6.72859e-06
0.000190634
4.82809e-20
4.82171e-05
-6.88816e-06
4.82171e-05
-6.88816e-06
-2.69143e-05
-2.75526e-05
-1.40607e-19
0.000190634
-0.000190634
-1.57548e-19
-6.72859e-06
-3.36429e-06
6.72859e-06
3.36429e-06
4.82809e-20
2.04251e-05
-6.88816e-06
3.44408e-06
6.88816e-06
-3.44408e-06
-1.12232e-20
-1.28114e-20
-0.00108825
-0.00025482
-0.000289303
-0.00108825
4.247e-05
-6.06714e-06
4.82171e-05
-6.88816e-06
0.000181374
1.86347e-20
4.247e-05
6.06714e-06
4.82171e-05
6.88816e-06
-2.42686e-05
-2.75526e-05
0.000181374
-1.38913e-19
-3.38813e-21
-0.000181374
-6.06714e-06
3.03357e-06
-6.88816e-06
3.44408e-06
1.86347e-20
1.9433e-05
6.06714e-06
3.03357e-06
6.88816e-06
3.44408e-06
-1.10114e-20
-1.27055e-21
-0.000458819
-0.000458819
-0.000229409
7.64698e-05
0
3.82349e-05
-5.46213e-06
3.82349e-05
-5.46213e-06
-2.18485e-05
7.64698e-05
-7.64698e-05
-3.38813e-21
0
8.19319e-06
-5.46213e-06
2.73106e-06
5.46213e-06
-2.73106e-06
-8.47033e-22
-0.00025482
-0.00100377
-0.00100377
-0.000247066
4.247e-05
6.06714e-06
4.247e-05
6.06714e-06
0.000167295
3.81165e-20
4.11777e-05
-5.88252e-06
4.11777e-05
-5.88252e-06
-2.42686e-05
-2.35301e-05
-1.28749e-19
0.000167295
-0.000167295
-1.33831e-19
-6.06714e-06
-3.03357e-06
6.06714e-06
3.03357e-06
3.81165e-20
1.79245e-05
-5.88252e-06
2.94126e-06
5.88252e-06
-2.94126e-06
-1.05879e-20
-1.06938e-20
-0.000952951
-0.000229409
-0.000247066
-0.000952951
3.82349e-05
-5.46213e-06
4.11777e-05
-5.88252e-06
0.000158825
1.69407e-20
3.82349e-05
5.46213e-06
4.11777e-05
5.88252e-06
-2.18485e-05
-2.35301e-05
0.000158825
-1.23667e-19
-6.77626e-21
-0.000158825
-5.46213e-06
2.73106e-06
-5.88252e-06
2.94126e-06
1.69407e-20
1.7017e-05
5.46213e-06
2.73106e-06
5.88252e-06
2.94126e-06
-9.84676e-21
-1.27055e-21
-0.000410852
-0.000410852
-0.000205426
6.84754e-05
-4.23516e-22
3.42377e-05
-4.8911e-06
3.42377e-05
-4.8911e-06
-1.95644e-05
6.84754e-05
-6.84754e-05
-5.0822e-21
-4.23516e-22
7.33665e-06
-4.8911e-06
2.44555e-06
4.8911e-06
-2.44555e-06
-8.47033e-22
-0.000229409
-0.000877582
-0.000877582
-0.000209382
3.82349e-05
5.46213e-06
3.82349e-05
5.46213e-06
0.000146264
3.13402e-20
3.48969e-05
-4.98528e-06
3.48969e-05
-4.98528e-06
-2.18485e-05
-1.99411e-05
-1.16891e-19
0.000146264
-0.000146264
-1.15196e-19
-5.46213e-06
-2.73106e-06
5.46213e-06
2.73106e-06
3.13402e-20
1.56711e-05
-4.98528e-06
2.49264e-06
4.98528e-06
-2.49264e-06
-9.42324e-21
-9.21148e-21
-0.000829615
-0.000205426
-0.000209382
-0.000829615
3.42377e-05
-4.8911e-06
3.48969e-05
-4.98528e-06
0.000138269
1.60936e-20
3.42377e-05
4.8911e-06
3.48969e-05
4.98528e-06
-1.95644e-05
-1.99411e-05
0.000138269
-1.11808e-19
-6.77626e-21
-0.000138269
-4.8911e-06
2.44555e-06
-4.98528e-06
2.49264e-06
1.60936e-20
1.48146e-05
4.8911e-06
2.44555e-06
4.98528e-06
2.49264e-06
-8.89385e-21
-1.27055e-21
-0.000377733
-0.000377733
-0.000188867
6.29555e-05
4.23516e-22
3.14778e-05
-4.49682e-06
3.14778e-05
-4.49682e-06
-1.79873e-05
6.29555e-05
-6.29555e-05
-5.0822e-21
4.23516e-22
6.74524e-06
-4.49682e-06
2.24841e-06
4.49682e-06
-2.24841e-06
-8.47033e-22
-0.000205426
-0.000756598
-0.000756598
-0.000172873
3.42377e-05
4.8911e-06
3.42377e-05
4.8911e-06
0.0001261
2.79521e-20
2.88121e-05
-4.11602e-06
2.88121e-05
-4.11602e-06
-1.95644e-05
-1.64641e-05
-1.05879e-19
0.0001261
-0.0001261
-9.40207e-20
-4.8911e-06
-2.44555e-06
4.8911e-06
2.44555e-06
2.79521e-20
1.35107e-05
-4.11602e-06
2.05801e-06
4.11602e-06
-2.05801e-06
-8.04681e-21
-7.30566e-21
-0.000723479
-0.000188867
-0.000172873
-0.000723479
3.14778e-05
-4.49682e-06
2.88121e-05
-4.11602e-06
0.00012058
1.43996e-20
3.14778e-05
4.49682e-06
2.88121e-05
4.11602e-06
-1.79873e-05
-1.64641e-05
0.00012058
-1.01644e-19
-1.69407e-21
-0.00012058
-4.49682e-06
2.24841e-06
-4.11602e-06
2.05801e-06
1.43996e-20
1.29193e-05
4.49682e-06
2.24841e-06
4.11602e-06
2.05801e-06
-8.15269e-21
-8.47033e-22
-0.000188867
-0.00071156
-0.00071156
-0.000166913
3.14778e-05
4.49682e-06
3.14778e-05
4.49682e-06
0.000118593
2.75286e-20
2.78189e-05
-3.97412e-06
2.78189e-05
-3.97412e-06
-1.79873e-05
-1.58965e-05
-9.74088e-20
0.000118593
-0.000118593
-9.06325e-20
-4.49682e-06
-2.24841e-06
4.49682e-06
2.24841e-06
2.75286e-20
1.27064e-05
-3.97412e-06
1.98706e-06
3.97412e-06
-1.98706e-06
-7.6233e-21
-7.51742e-21
-0.000207589
-0.000749004
-0.000166913
-0.000749004
3.45981e-05
4.94259e-06
3.45981e-05
4.94259e-06
2.78189e-05
-3.97412e-06
0.000124834
-1.65171e-20
2.78189e-05
3.97412e-06
-1.97703e-05
-1.58965e-05
1.05879e-19
0.000124834
-5.0822e-21
-0.000124834
-4.94259e-06
-2.47129e-06
4.94259e-06
2.47129e-06
-3.97412e-06
1.98706e-06
-1.65171e-20
1.33751e-05
3.97412e-06
1.98706e-06
8.89385e-21
-8.47033e-22
-0.000364791
-0.000364791
-0.000182396
6.07985e-05
0
3.03993e-05
-4.34275e-06
3.03993e-05
-4.34275e-06
-1.7371e-05
6.07985e-05
-6.07985e-05
-3.38813e-21
0
6.51413e-06
-4.34275e-06
2.17138e-06
4.34275e-06
-2.17138e-06
-6.35275e-22
-0.000204376
-0.000738909
-0.000738909
-0.000165078
3.40626e-05
4.86609e-06
3.40626e-05
4.86609e-06
0.000123151
2.83756e-20
2.75131e-05
-3.93044e-06
2.75131e-05
-3.93044e-06
-1.94644e-05
-1.57218e-05
-1.05032e-19
0.000123151
-0.000123151
-9.06325e-20
-4.86609e-06
-2.43305e-06
4.86609e-06
2.43305e-06
2.83756e-20
1.31948e-05
-3.93044e-06
1.96522e-06
3.93044e-06
-1.96522e-06
-8.04681e-21
-7.30566e-21
-0.000694948
-0.000182396
-0.000165078
-0.000694948
3.03993e-05
-4.34275e-06
2.75131e-05
-3.93044e-06
0.000115825
1.43996e-20
3.03993e-05
4.34275e-06
2.75131e-05
3.93044e-06
-1.7371e-05
-1.57218e-05
0.000115825
-9.82558e-20
-6.77626e-21
-0.000115825
-4.34275e-06
2.17138e-06
-3.93044e-06
1.96522e-06
1.43996e-20
1.24098e-05
4.34275e-06
2.17138e-06
3.93044e-06
1.96522e-06
-7.6233e-21
-1.05879e-21
-0.000388797
-0.000388797
-0.000194398
6.47995e-05
4.23516e-22
3.23997e-05
-4.62853e-06
3.23997e-05
-4.62853e-06
-1.85141e-05
6.47995e-05
-6.47995e-05
-5.0822e-21
4.23516e-22
6.9428e-06
-4.62853e-06
2.31427e-06
4.62853e-06
-2.31427e-06
-6.35275e-22
-0.000182396
-0.00069885
-0.00069885
-0.00016703
3.03993e-05
4.34275e-06
3.03993e-05
4.34275e-06
0.000116475
2.6258e-20
2.78383e-05
-3.97689e-06
2.78383e-05
-3.97689e-06
-1.7371e-05
-1.59076e-05
-9.31736e-20
0.000116475
-0.000116475
-8.97855e-20
-4.34275e-06
-2.17138e-06
4.34275e-06
2.17138e-06
2.6258e-20
1.24795e-05
-3.97689e-06
1.98845e-06
3.97689e-06
-1.98845e-06
-6.88214e-21
-7.30566e-21
-0.000722856
-0.000194398
-0.00016703
-0.000722856
3.23997e-05
-4.62853e-06
2.78383e-05
-3.97689e-06
0.000120476
1.52466e-20
3.23997e-05
4.62853e-06
2.78383e-05
3.97689e-06
-1.85141e-05
-1.59076e-05
0.000120476
-1.06726e-19
-3.38813e-21
-0.000120476
-4.62853e-06
2.31427e-06
-3.97689e-06
1.98845e-06
1.52466e-20
1.29081e-05
4.62853e-06
2.31427e-06
3.97689e-06
1.98845e-06
-8.15269e-21
-1.05879e-21
-0.000421533
-0.000421533
-0.000210766
7.02554e-05
0
3.51277e-05
-5.01824e-06
3.51277e-05
-5.01824e-06
-2.0073e-05
7.02554e-05
-7.02554e-05
-3.38813e-21
0
7.52737e-06
-5.01824e-06
2.50912e-06
5.01824e-06
-2.50912e-06
-1.05879e-21
-0.000194398
-0.000783508
-0.000783508
-0.000197356
3.23997e-05
4.62853e-06
3.23997e-05
4.62853e-06
0.000130585
2.87991e-20
3.28926e-05
-4.69895e-06
3.28926e-05
-4.69895e-06
-1.85141e-05
-1.87958e-05
-9.91029e-20
0.000130585
-0.000130585
-1.06726e-19
-4.62853e-06
-2.31427e-06
4.62853e-06
2.31427e-06
2.87991e-20
1.39912e-05
-4.69895e-06
2.34947e-06
4.69895e-06
-2.34947e-06
-7.83505e-21
-8.57621e-21
-0.000816244
-0.000210766
-0.000197356
-0.000816244
3.51277e-05
-5.01824e-06
3.28926e-05
-4.69895e-06
0.000136041
1.60936e-20
3.51277e-05
5.01824e-06
3.28926e-05
4.69895e-06
-2.0073e-05
-1.87958e-05
0.000136041
-1.15196e-19
-3.38813e-21
-0.000136041
-5.01824e-06
2.50912e-06
-4.69895e-06
2.34947e-06
1.60936e-20
1.45758e-05
5.01824e-06
2.50912e-06
4.69895e-06
2.34947e-06
-9.1056e-21
-1.05879e-21
-0.000447112
-0.000447112
-0.000223556
7.45186e-05
0
3.72593e-05
-5.32276e-06
3.72593e-05
-5.32276e-06
-2.1291e-05
7.45186e-05
-7.45186e-05
-6.77626e-21
0
7.98414e-06
-5.32276e-06
2.66138e-06
5.32276e-06
-2.66138e-06
-1.05879e-21
-0.000210766
-0.000867788
-0.000867788
-0.000223128
3.51277e-05
5.01824e-06
3.51277e-05
5.01824e-06
0.000144631
3.30343e-20
3.7188e-05
-5.31257e-06
3.7188e-05
-5.31257e-06
-2.0073e-05
-2.12503e-05
-1.06726e-19
0.000144631
-0.000144631
-1.21973e-19
-5.01824e-06
-2.50912e-06
5.01824e-06
2.50912e-06
3.30343e-20
1.54962e-05
-5.31257e-06
2.65629e-06
5.31257e-06
-2.65629e-06
-8.47033e-21
-9.74088e-21
-0.000893368
-0.000223556
-0.000223128
-0.000893368
3.72593e-05
-5.32276e-06
3.7188e-05
-5.31257e-06
0.000148895
1.77877e-20
3.72593e-05
5.32276e-06
3.7188e-05
5.31257e-06
-2.1291e-05
-2.12503e-05
0.000148895
-1.21973e-19
-5.0822e-21
-0.000148895
-5.32276e-06
2.66138e-06
-5.31257e-06
2.65629e-06
1.77877e-20
1.5953e-05
5.32276e-06
2.66138e-06
5.31257e-06
2.65629e-06
-9.52912e-21
-1.05879e-21
-0.000455667
-0.000455667
-0.000227834
7.59445e-05
0
3.79723e-05
-5.42461e-06
3.79723e-05
-5.42461e-06
-2.16984e-05
7.59445e-05
-7.59445e-05
-1.01644e-20
0
8.13692e-06
-5.42461e-06
2.71231e-06
5.42461e-06
-2.71231e-06
-1.05879e-21
-0.000223556
-0.00092331
-0.00092331
-0.000238099
3.72593e-05
5.32276e-06
3.72593e-05
5.32276e-06
0.000153885
3.47284e-20
3.96832e-05
-5.66903e-06
3.96832e-05
-5.66903e-06
-2.1291e-05
-2.26761e-05
-1.15196e-19
0.000153885
-0.000153885
-1.30443e-19
-5.32276e-06
-2.66138e-06
5.32276e-06
2.66138e-06
3.47284e-20
1.64877e-05
-5.66903e-06
2.83452e-06
5.66903e-06
-2.83452e-06
-8.89385e-21
-1.05879e-20
-0.000931866
-0.000227834
-0.000238099
-0.000931866
3.79723e-05
-5.42461e-06
3.96832e-05
-5.66903e-06
0.000155311
1.69407e-20
3.79723e-05
5.42461e-06
3.96832e-05
5.66903e-06
-2.16984e-05
-2.26761e-05
0.000155311
-1.23667e-19
-3.38813e-21
-0.000155311
-5.42461e-06
2.71231e-06
-5.66903e-06
2.83452e-06
1.69407e-20
1.66405e-05
5.42461e-06
2.71231e-06
5.66903e-06
2.83452e-06
-9.31736e-21
-1.48231e-21
-0.000444183
-0.000444183
-0.000222092
7.40305e-05
-4.23516e-22
3.70153e-05
-5.28789e-06
3.70153e-05
-5.28789e-06
-2.11516e-05
7.40305e-05
-7.40305e-05
-3.38813e-21
-4.23516e-22
7.93184e-06
-5.28789e-06
2.64395e-06
5.28789e-06
-2.64395e-06
-1.27055e-21
-0.000227834
-0.000932829
-0.000932829
-0.000238581
3.79723e-05
5.42461e-06
3.79723e-05
5.42461e-06
0.000155471
3.72694e-20
3.97635e-05
-5.68049e-06
3.97635e-05
-5.68049e-06
-2.16984e-05
-2.2722e-05
-1.16891e-19
0.000155471
-0.000155471
-1.28749e-19
-5.42461e-06
-2.71231e-06
5.42461e-06
2.71231e-06
3.72694e-20
1.66577e-05
-5.68049e-06
2.84025e-06
5.68049e-06
-2.84025e-06
-8.47033e-21
-1.0482e-20
-0.000921345
-0.000222092
-0.000238581
-0.000921345
3.70153e-05
-5.28789e-06
3.97635e-05
-5.68049e-06
0.000153557
1.77877e-20
3.70153e-05
5.28789e-06
3.97635e-05
5.68049e-06
-2.11516e-05
-2.2722e-05
0.000153557
-1.20279e-19
-3.38813e-21
-0.000153557
-5.28789e-06
2.64395e-06
-5.68049e-06
2.84025e-06
1.77877e-20
1.64526e-05
5.28789e-06
2.64395e-06
5.68049e-06
2.84025e-06
-9.52912e-21
-1.27055e-21
-0.000260417
-0.00115561
-0.00115561
-0.000317387
4.34028e-05
6.2004e-06
4.34028e-05
6.2004e-06
0.000192601
-1.86347e-20
5.28978e-05
-7.55683e-06
5.28978e-05
-7.55683e-06
-2.48016e-05
-3.02273e-05
1.32137e-19
0.000192601
-0.000192601
-1.01644e-20
-6.2004e-06
-3.1002e-06
6.2004e-06
3.1002e-06
-1.86347e-20
2.06358e-05
-7.55683e-06
3.77841e-06
7.55683e-06
-3.77841e-06
1.05879e-20
-1.69407e-21
-0.000222092
-0.00107896
-0.000317387
-0.00107896
3.70153e-05
5.28789e-06
3.70153e-05
5.28789e-06
5.28978e-05
-7.55683e-06
0.000179826
4.15046e-20
5.28978e-05
7.55683e-06
-2.11516e-05
-3.02273e-05
-1.10114e-19
0.000179826
-1.74489e-19
-0.000179826
-5.28789e-06
-2.64395e-06
5.28789e-06
2.64395e-06
-7.55683e-06
3.77841e-06
4.15046e-20
1.92671e-05
7.55683e-06
3.77841e-06
-8.47033e-21
-1.35525e-20
-0.000426676
-0.000426676
-0.000213338
7.11127e-05
0
3.55563e-05
-5.07948e-06
3.55563e-05
-5.07948e-06
-2.03179e-05
7.11127e-05
-7.11127e-05
-3.38813e-21
0
7.61921e-06
-5.07948e-06
2.53974e-06
5.07948e-06
-2.53974e-06
-1.27055e-21
-0.000317387
-0.00113405
-0.00113405
-0.000249636
5.28978e-05
7.55683e-06
5.28978e-05
7.55683e-06
0.000189008
4.06576e-20
4.1606e-05
-5.94371e-06
4.1606e-05
-5.94371e-06
-3.02273e-05
-2.37749e-05
-1.66018e-19
0.000189008
-0.000189008
-1.35525e-19
-7.55683e-06
-3.77841e-06
7.55683e-06
3.77841e-06
4.06576e-20
2.02508e-05
-5.94371e-06
2.97186e-06
5.94371e-06
-2.97186e-06
-1.2282e-20
-1.07997e-20
-0.000925948
-0.000213338
-0.000249636
-0.000925948
3.55563e-05
-5.07948e-06
4.1606e-05
-5.94371e-06
0.000154325
1.60936e-20
3.55563e-05
5.07948e-06
4.1606e-05
5.94371e-06
-2.03179e-05
-2.37749e-05
0.000154325
-1.15196e-19
-6.77626e-21
-0.000154325
-5.07948e-06
2.53974e-06
-5.94371e-06
2.97186e-06
1.60936e-20
1.65348e-05
5.07948e-06
2.53974e-06
5.94371e-06
2.97186e-06
-8.99973e-21
-1.05879e-21
-0.000491405
-0.000491405
-0.000245703
8.19009e-05
0
4.09505e-05
-5.85006e-06
4.09505e-05
-5.85006e-06
-2.34003e-05
8.19009e-05
-8.19009e-05
-5.0822e-21
0
8.7751e-06
-5.85006e-06
2.92503e-06
5.85006e-06
-2.92503e-06
-8.47033e-22
-0.000213338
-0.000816677
-0.000816677
-0.000195001
3.55563e-05
5.07948e-06
3.55563e-05
5.07948e-06
0.000136113
3.13402e-20
3.25001e-05
-4.64287e-06
3.25001e-05
-4.64287e-06
-2.03179e-05
-1.85715e-05
-1.07573e-19
0.000136113
-0.000136113
-1.05032e-19
-5.07948e-06
-2.53974e-06
5.07948e-06
2.53974e-06
3.13402e-20
1.45835e-05
-4.64287e-06
2.32143e-06
4.64287e-06
-2.32143e-06
-8.47033e-21
-8.57621e-21
-0.000881406
-0.000245703
-0.000195001
-0.000881406
4.09505e-05
-5.85006e-06
3.25001e-05
-4.64287e-06
0.000146901
1.99053e-20
4.09505e-05
5.85006e-06
3.25001e-05
4.64287e-06
-2.34003e-05
-1.85715e-05
0.000146901
-1.35525e-19
-5.0822e-21
-0.000146901
-5.85006e-06
2.92503e-06
-4.64287e-06
2.32143e-06
1.99053e-20
1.57394e-05
5.85006e-06
2.92503e-06
4.64287e-06
2.32143e-06
-1.02703e-20
-1.05879e-21
-0.000506209
-0.000506209
-0.000253105
8.43682e-05
4.23516e-22
4.21841e-05
-6.0263e-06
4.21841e-05
-6.0263e-06
-2.41052e-05
8.43682e-05
-8.43682e-05
-1.01644e-20
4.23516e-22
9.03945e-06
-6.0263e-06
3.01315e-06
6.0263e-06
-3.01315e-06
-1.27055e-21
-0.000245703
-0.00100528
-0.00100528
-0.000256936
4.09505e-05
5.85006e-06
4.09505e-05
5.85006e-06
0.000167546
4.06576e-20
4.28227e-05
-6.11752e-06
4.28227e-05
-6.11752e-06
-2.34003e-05
-2.44701e-05
-1.27055e-19
0.000167546
-0.000167546
-1.38913e-19
-5.85006e-06
-2.92503e-06
5.85006e-06
2.92503e-06
4.06576e-20
1.79514e-05
-6.11752e-06
3.05876e-06
6.11752e-06
-3.05876e-06
-9.42324e-21
-1.12232e-20
-0.00102008
-0.000253105
-0.000256936
-0.00102008
4.21841e-05
-6.0263e-06
4.28227e-05
-6.11752e-06
0.000170013
1.86347e-20
4.21841e-05
6.0263e-06
4.28227e-05
6.11752e-06
-2.41052e-05
-2.44701e-05
0.000170013
-1.38913e-19
-8.47033e-21
-0.000170013
-6.0263e-06
3.01315e-06
-6.11752e-06
3.05876e-06
1.86347e-20
1.82157e-05
6.0263e-06
3.01315e-06
6.11752e-06
3.05876e-06
-1.09055e-20
-1.27055e-21
-0.000466674
-0.000466674
-0.000233337
7.7779e-05
0
3.88895e-05
-5.55564e-06
3.88895e-05
-5.55564e-06
-2.22226e-05
7.7779e-05
-7.7779e-05
-5.0822e-21
0
8.33346e-06
-5.55564e-06
2.77782e-06
5.55564e-06
-2.77782e-06
-8.47033e-22
-0.000253105
-0.00100906
-0.00100906
-0.000251423
4.21841e-05
6.0263e-06
4.21841e-05
6.0263e-06
0.000168176
4.06576e-20
4.19039e-05
-5.98627e-06
4.19039e-05
-5.98627e-06
-2.41052e-05
-2.39451e-05
-1.28749e-19
0.000168176
-0.000168176
-1.38913e-19
-6.0263e-06
-3.01315e-06
6.0263e-06
3.01315e-06
4.06576e-20
1.80188e-05
-5.98627e-06
2.99313e-06
5.98627e-06
-2.99313e-06
-9.95264e-21
-1.10114e-20
-0.00096952
-0.000233337
-0.000251423
-0.00096952
3.88895e-05
-5.55564e-06
4.19039e-05
-5.98627e-06
0.000161587
1.77877e-20
3.88895e-05
5.55564e-06
4.19039e-05
5.98627e-06
-2.22226e-05
-2.39451e-05
0.000161587
-1.25361e-19
-6.77626e-21
-0.000161587
-5.55564e-06
2.77782e-06
-5.98627e-06
2.99313e-06
1.77877e-20
1.73129e-05
5.55564e-06
2.77782e-06
5.98627e-06
2.99313e-06
-9.84676e-21
-1.48231e-21
-0.000417699
-0.000417699
-0.000208849
6.96165e-05
0
3.48082e-05
-4.97261e-06
3.48082e-05
-4.97261e-06
-1.98904e-05
6.96165e-05
-6.96165e-05
-5.0822e-21
0
7.45891e-06
-4.97261e-06
2.4863e-06
4.97261e-06
-2.4863e-06
-1.27055e-21
-0.000233337
-0.000896857
-0.000896857
-0.000215091
3.88895e-05
5.55564e-06
3.88895e-05
5.55564e-06
0.000149476
3.30343e-20
3.58486e-05
-5.12123e-06
3.58486e-05
-5.12123e-06
-2.22226e-05
-2.04849e-05
-1.18585e-19
0.000149476
-0.000149476
-1.16891e-19
-5.55564e-06
-2.77782e-06
5.55564e-06
2.77782e-06
3.30343e-20
1.60153e-05
-5.12123e-06
2.56061e-06
5.12123e-06
-2.56061e-06
-8.99973e-21
-9.42324e-21
-0.000847882
-0.000208849
-0.000215091
-0.000847882
3.48082e-05
-4.97261e-06
3.58486e-05
-5.12123e-06
0.000141314
1.60936e-20
3.48082e-05
4.97261e-06
3.58486e-05
5.12123e-06
-1.98904e-05
-2.04849e-05
0.000141314
-1.15196e-19
-6.77626e-21
-0.000141314
-4.97261e-06
2.4863e-06
-5.12123e-06
2.56061e-06
1.60936e-20
1.51407e-05
4.97261e-06
2.4863e-06
5.12123e-06
2.56061e-06
-8.99973e-21
-1.27055e-21
-0.000382351
-0.000382351
-0.000191176
6.37252e-05
0
3.18626e-05
-4.5518e-06
3.18626e-05
-4.5518e-06
-1.82072e-05
6.37252e-05
-6.37252e-05
-3.38813e-21
0
6.8277e-06
-4.5518e-06
2.2759e-06
4.5518e-06
-2.2759e-06
-1.05879e-21
-0.000208849
-0.000770166
-0.000770166
-0.000176233
3.48082e-05
4.97261e-06
3.48082e-05
4.97261e-06
0.000128361
2.83756e-20
2.93722e-05
-4.19603e-06
2.93722e-05
-4.19603e-06
-1.98904e-05
-1.67841e-05
-1.09267e-19
0.000128361
-0.000128361
-9.48677e-20
-4.97261e-06
-2.4863e-06
4.97261e-06
2.4863e-06
2.83756e-20
1.3753e-05
-4.19603e-06
2.09802e-06
4.19603e-06
-2.09802e-06
-7.83505e-21
-7.41154e-21
-0.000734818
-0.000191176
-0.000176233
-0.000734818
3.18626e-05
-4.5518e-06
2.93722e-05
-4.19603e-06
0.00012247
1.52466e-20
3.18626e-05
4.5518e-06
2.93722e-05
4.19603e-06
-1.82072e-05
-1.67841e-05
0.00012247
-1.01644e-19
-8.47033e-21
-0.00012247
-4.5518e-06
2.2759e-06
-4.19603e-06
2.09802e-06
1.52466e-20
1.31218e-05
4.5518e-06
2.2759e-06
4.19603e-06
2.09802e-06
-8.15269e-21
-1.05879e-21
-0.000191176
-0.00071991
-0.00071991
-0.000168779
3.18626e-05
4.5518e-06
3.18626e-05
4.5518e-06
0.000119985
2.5411e-20
2.81299e-05
-4.01855e-06
2.81299e-05
-4.01855e-06
-1.82072e-05
-1.60742e-05
-9.65618e-20
0.000119985
-0.000119985
-9.23266e-20
-4.5518e-06
-2.2759e-06
4.5518e-06
2.2759e-06
2.5411e-20
1.28555e-05
-4.01855e-06
2.00928e-06
4.01855e-06
-2.00928e-06
-7.41154e-21
-7.30566e-21
-0.000209025
-0.000755608
-0.000168779
-0.000755608
3.48374e-05
4.97678e-06
3.48374e-05
4.97678e-06
2.81299e-05
-4.01855e-06
0.000125935
-1.43996e-20
2.81299e-05
4.01855e-06
-1.99071e-05
-1.60742e-05
1.05032e-19
0.000125935
-5.0822e-21
-0.000125935
-4.97678e-06
-2.48839e-06
4.97678e-06
2.48839e-06
-4.01855e-06
2.00928e-06
-1.43996e-20
1.3493e-05
4.01855e-06
2.00928e-06
7.83505e-21
-4.23516e-22
-0.00036424
-0.00036424
-0.00018212
6.07067e-05
0
3.03534e-05
-4.33619e-06
3.03534e-05
-4.33619e-06
-1.73448e-05
6.07067e-05
-6.07067e-05
-6.77626e-21
0
6.50429e-06
-4.33619e-06
2.1681e-06
4.33619e-06
-2.1681e-06
-8.47033e-22
-0.000204723
-0.000741441
-0.000741441
-0.000165997
3.41205e-05
4.87436e-06
3.41205e-05
4.87436e-06
0.000123574
2.87991e-20
2.76662e-05
-3.95232e-06
2.76662e-05
-3.95232e-06
-1.94974e-05
-1.58093e-05
-1.04185e-19
0.000123574
-0.000123574
-8.97855e-20
-4.87436e-06
-2.43718e-06
4.87436e-06
2.43718e-06
2.87991e-20
1.324e-05
-3.95232e-06
1.97616e-06
3.95232e-06
-1.97616e-06
-7.51742e-21
-7.30566e-21
-0.000696235
-0.00018212
-0.000165997
-0.000696235
3.03534e-05
-4.33619e-06
2.76662e-05
-3.95232e-06
0.000116039
1.35525e-20
3.03534e-05
4.33619e-06
2.76662e-05
3.95232e-06
-1.73448e-05
-1.58093e-05
0.000116039
-9.82558e-20
-5.0822e-21
-0.000116039
-4.33619e-06
2.1681e-06
-3.95232e-06
1.97616e-06
1.35525e-20
1.24328e-05
4.33619e-06
2.1681e-06
3.95232e-06
1.97616e-06
-7.72918e-21
-6.35275e-22
-0.000384711
-0.000384711
-0.000192355
6.41185e-05
0
3.20592e-05
-4.57989e-06
3.20592e-05
-4.57989e-06
-1.83196e-05
6.41185e-05
-6.41185e-05
-3.38813e-21
0
6.86984e-06
-4.57989e-06
2.28995e-06
4.57989e-06
-2.28995e-06
-8.47033e-22
-0.00018212
-0.000696488
-0.000696488
-0.000166124
3.03534e-05
4.33619e-06
3.03534e-05
4.33619e-06
0.000116081
2.79521e-20
2.76873e-05
-3.95533e-06
2.76873e-05
-3.95533e-06
-1.73448e-05
-1.58213e-05
-9.31736e-20
0.000116081
-0.000116081
-9.23266e-20
-4.33619e-06
-2.1681e-06
4.33619e-06
2.1681e-06
2.79521e-20
1.24373e-05
-3.95533e-06
1.97767e-06
3.95533e-06
-1.97767e-06
-6.98802e-21
-7.19978e-21
-0.000716959
-0.000192355
-0.000166124
-0.000716959
3.20592e-05
-4.57989e-06
2.76873e-05
-3.95533e-06
0.000119493
1.52466e-20
3.20592e-05
4.57989e-06
2.76873e-05
3.95533e-06
-1.83196e-05
-1.58213e-05
0.000119493
-1.05032e-19
-5.0822e-21
-0.000119493
-4.57989e-06
2.28995e-06
-3.95533e-06
1.97767e-06
1.52466e-20
1.28028e-05
4.57989e-06
2.28995e-06
3.95533e-06
1.97767e-06
-8.36445e-21
-6.35275e-22
-0.000409058
-0.000409058
-0.000204529
6.81764e-05
0
3.40882e-05
-4.86974e-06
3.40882e-05
-4.86974e-06
-1.9479e-05
6.81764e-05
-6.81764e-05
-6.77626e-21
0
7.30461e-06
-4.86974e-06
2.43487e-06
4.86974e-06
-2.43487e-06
-8.47033e-22
-0.000192355
-0.000766976
-0.000766976
-0.000191133
3.20592e-05
4.57989e-06
3.20592e-05
4.57989e-06
0.000127829
3.04932e-20
3.18554e-05
-4.55078e-06
3.18554e-05
-4.55078e-06
-1.83196e-05
-1.82031e-05
-9.82558e-20
0.000127829
-0.000127829
-1.05032e-19
-4.57989e-06
-2.28995e-06
4.57989e-06
2.28995e-06
3.04932e-20
1.3696e-05
-4.55078e-06
2.27539e-06
4.55078e-06
-2.27539e-06
-7.41154e-21
-8.25857e-21
-0.000791323
-0.000204529
-0.000191133
-0.000791323
3.40882e-05
-4.86974e-06
3.18554e-05
-4.55078e-06
0.000131887
1.52466e-20
3.40882e-05
4.86974e-06
3.18554e-05
4.55078e-06
-1.9479e-05
-1.82031e-05
0.000131887
-1.11808e-19
-5.0822e-21
-0.000131887
-4.86974e-06
2.43487e-06
-4.55078e-06
2.27539e-06
1.52466e-20
1.41308e-05
4.86974e-06
2.43487e-06
4.55078e-06
2.27539e-06
-8.68209e-21
-8.47033e-22
-0.000422677
-0.000422677
-0.000211338
7.04461e-05
0
3.5223e-05
-5.03186e-06
3.5223e-05
-5.03186e-06
-2.01275e-05
7.04461e-05
-7.04461e-05
-3.38813e-21
0
7.5478e-06
-5.03186e-06
2.51593e-06
5.03186e-06
-2.51593e-06
-1.27055e-21
-0.000204529
-0.000815705
-0.000815705
-0.000203324
3.40882e-05
4.86974e-06
3.40882e-05
4.86974e-06
0.000135951
3.13402e-20
3.38873e-05
-4.84104e-06
3.38873e-05
-4.84104e-06
-1.9479e-05
-1.93641e-05
-1.03338e-19
0.000135951
-0.000135951
-1.11808e-19
-4.86974e-06
-2.43487e-06
4.86974e-06
2.43487e-06
3.13402e-20
1.45662e-05
-4.84104e-06
2.42052e-06
4.84104e-06
-2.42052e-06
-7.94093e-21
-8.89385e-21
-0.000829324
-0.000211338
-0.000203324
-0.000829324
3.5223e-05
-5.03186e-06
3.38873e-05
-4.84104e-06
0.000138221
1.52466e-20
3.5223e-05
5.03186e-06
3.38873e-05
4.84104e-06
-2.01275e-05
-1.93641e-05
0.000138221
-1.15196e-19
-3.38813e-21
-0.000138221
-5.03186e-06
2.51593e-06
-4.84104e-06
2.42052e-06
1.52466e-20
1.48094e-05
5.03186e-06
2.51593e-06
4.84104e-06
2.42052e-06
-8.99973e-21
-1.05879e-21
-0.000474071
-0.000474071
-0.000237036
7.90119e-05
0
3.95059e-05
-5.64371e-06
3.95059e-05
-5.64371e-06
-2.25748e-05
7.90119e-05
-7.90119e-05
-5.0822e-21
0
8.46556e-06
-5.64371e-06
2.82185e-06
5.64371e-06
-2.82185e-06
-1.05879e-21
-0.000211338
-0.000873938
-0.000873938
-0.000225631
3.5223e-05
5.03186e-06
3.5223e-05
5.03186e-06
0.000145656
3.47284e-20
3.76051e-05
-5.37216e-06
3.76051e-05
-5.37216e-06
-2.01275e-05
-2.14886e-05
-1.10961e-19
0.000145656
-0.000145656
-1.25361e-19
-5.03186e-06
-2.51593e-06
5.03186e-06
2.51593e-06
3.47284e-20
1.5606e-05
-5.37216e-06
2.68608e-06
5.37216e-06
-2.68608e-06
-8.04681e-21
-1.00585e-20
-0.000925333
-0.000237036
-0.000225631
-0.000925333
3.95059e-05
-5.64371e-06
3.76051e-05
-5.37216e-06
0.000154222
1.77877e-20
3.95059e-05
5.64371e-06
3.76051e-05
5.37216e-06
-2.25748e-05
-2.14886e-05
0.000154222
-1.32137e-19
-1.69407e-21
-0.000154222
-5.64371e-06
2.82185e-06
-5.37216e-06
2.68608e-06
1.77877e-20
1.65238e-05
5.64371e-06
2.82185e-06
5.37216e-06
2.68608e-06
-9.95264e-21
-1.48231e-21
-0.000619411
-0.000619411
-0.000309706
0.000103235
0
5.16176e-05
-7.37394e-06
5.16176e-05
-7.37394e-06
-2.94958e-05
0.000103235
-0.000103235
-1.01644e-20
0
1.10609e-05
-7.37394e-06
3.68697e-06
7.37394e-06
-3.68697e-06
-1.69407e-21
-0.00128761
-0.000309706
-0.00128761
-0.0003341
5.16176e-05
-7.37394e-06
0.000214602
2.37169e-20
5.56833e-05
-7.95475e-06
5.16176e-05
7.37394e-06
5.56833e-05
-7.95475e-06
-2.94958e-05
-3.1819e-05
0.000214602
-1.69407e-19
-0.000214602
-6.77626e-21
-7.37394e-06
3.68697e-06
2.37169e-20
2.2993e-05
-7.95475e-06
3.97738e-06
7.37394e-06
3.68697e-06
7.95475e-06
-3.97738e-06
-1.37643e-20
-1.27055e-21
-0.000237036
-0.00114227
-0.0003341
-0.00114227
3.95059e-05
5.64371e-06
3.95059e-05
5.64371e-06
5.56833e-05
-7.95475e-06
0.000190378
4.40457e-20
5.56833e-05
7.95475e-06
-2.25748e-05
-3.1819e-05
-1.21973e-19
0.000190378
-1.81265e-19
-0.000190378
-5.64371e-06
-2.82185e-06
5.64371e-06
2.82185e-06
-7.95475e-06
3.97738e-06
4.40457e-20
2.03977e-05
7.95475e-06
3.97738e-06
-9.1056e-21
-1.46113e-20
-0.000383157
-0.000309706
-0.00138573
-0.00138573
6.38595e-05
9.12279e-06
6.38595e-05
9.12279e-06
5.16176e-05
7.37394e-06
5.16176e-05
7.37394e-06
0.000230954
-3.38813e-21
-2.94958e-05
-3.64911e-05
1.96512e-19
-1.57548e-19
0.000230954
-0.000230954
-9.12279e-06
-4.56139e-06
9.12279e-06
4.56139e-06
-7.37394e-06
-3.68697e-06
7.37394e-06
3.68697e-06
-3.38813e-21
2.47451e-05
-1.2282e-20
1.50348e-20
-0.000382107
-0.00146542
-0.00146542
-0.0003506
6.36845e-05
9.09779e-06
6.36845e-05
9.09779e-06
0.000244236
-3.04932e-20
5.84334e-05
-8.34763e-06
5.84334e-05
-8.34763e-06
-3.63912e-05
-3.33905e-05
1.89735e-19
0.000244236
-0.000244236
-6.77626e-21
-9.09779e-06
-4.5489e-06
9.09779e-06
4.5489e-06
-3.04932e-20
2.61681e-05
-8.34763e-06
4.17381e-06
8.34763e-06
-4.17381e-06
1.43996e-20
-1.69407e-21
-0.0003341
-0.00130735
-0.00130735
-0.000319578
5.56833e-05
7.95475e-06
5.56833e-05
7.95475e-06
0.000217892
4.99749e-20
5.32629e-05
-7.60899e-06
5.32629e-05
-7.60899e-06
-3.1819e-05
-3.0436e-05
-1.72795e-19
0.000217892
-0.000217892
-1.72795e-19
-7.95475e-06
-3.97738e-06
7.95475e-06
3.97738e-06
4.99749e-20
2.33456e-05
-7.60899e-06
3.8045e-06
7.60899e-06
-3.8045e-06
-1.29173e-20
-1.3976e-20
-0.00134036
-0.0003506
-0.000319578
-0.00134036
5.84334e-05
-8.34763e-06
5.32629e-05
-7.60899e-06
0.000223393
2.6258e-20
5.84334e-05
8.34763e-06
5.32629e-05
7.60899e-06
-3.33905e-05
-3.0436e-05
0.000223393
-1.89735e-19
-1.01644e-20
-0.000223393
-8.34763e-06
4.17381e-06
-7.60899e-06
3.8045e-06
2.6258e-20
2.39349e-05
8.34763e-06
4.17381e-06
7.60899e-06
3.8045e-06
-1.50348e-20
-2.11758e-21
-0.000289303
-0.00115833
-0.00115833
-0.000289863
4.82171e-05
6.88816e-06
4.82171e-05
6.88816e-06
0.000193055
-2.20229e-20
4.83105e-05
-6.9015e-06
4.83105e-05
-6.9015e-06
-2.75526e-05
-2.7606e-05
1.49078e-19
0.000193055
-0.000193055
-6.77626e-21
-6.88816e-06
-3.44408e-06
6.88816e-06
3.44408e-06
-2.20229e-20
2.06845e-05
-6.9015e-06
3.45075e-06
6.9015e-06
-3.45075e-06
1.18585e-20
-8.47033e-22
-0.00119511
-0.000289863
-0.00119511
-0.000307692
4.83105e-05
-6.9015e-06
0.000199185
2.28699e-20
5.1282e-05
-7.326e-06
4.83105e-05
6.9015e-06
5.1282e-05
-7.326e-06
-2.7606e-05
-2.9304e-05
0.000199185
-1.57548e-19
-0.000199185
-1.35525e-20
-6.9015e-06
3.45075e-06
2.28699e-20
2.13412e-05
-7.326e-06
3.663e-06
6.9015e-06
3.45075e-06
7.326e-06
-3.663e-06
-1.2282e-20
-1.27055e-21
-0.0003506
-0.00131658
-0.000307692
-0.00131658
5.84334e-05
8.34763e-06
5.84334e-05
8.34763e-06
5.1282e-05
-7.326e-06
0.000219431
5.2516e-20
5.1282e-05
7.326e-06
-3.33905e-05
-2.9304e-05
-1.79571e-19
0.000219431
-1.69407e-19
-0.000219431
-8.34763e-06
-4.17381e-06
8.34763e-06
4.17381e-06
-7.326e-06
3.663e-06
5.2516e-20
2.35104e-05
7.326e-06
3.663e-06
-1.35525e-20
-1.33408e-20
-0.000247066
-0.000991396
-0.000991396
-0.000248632
4.11777e-05
5.88252e-06
4.11777e-05
5.88252e-06
0.000165233
-1.86347e-20
4.14387e-05
-5.91982e-06
4.14387e-05
-5.91982e-06
-2.35301e-05
-2.36793e-05
1.23667e-19
0.000165233
-0.000165233
-3.38813e-21
-5.88252e-06
-2.94126e-06
5.88252e-06
2.94126e-06
-1.86347e-20
1.77035e-05
-5.91982e-06
2.95991e-06
5.91982e-06
-2.95991e-06
1.00585e-20
-1.05879e-21
-0.000289863
-0.0011322
-0.0011322
-0.000276238
4.83105e-05
6.9015e-06
4.83105e-05
6.9015e-06
0.0001887
4.40457e-20
4.60396e-05
-6.57709e-06
4.60396e-05
-6.57709e-06
-2.7606e-05
-2.63083e-05
-1.47384e-19
0.0001887
-0.0001887
-1.49078e-19
-6.9015e-06
-3.45075e-06
6.9015e-06
3.45075e-06
4.40457e-20
2.02179e-05
-6.57709e-06
3.28854e-06
6.57709e-06
-3.28854e-06
-1.14349e-20
-1.21761e-20
-0.00104974
-0.000248632
-0.000276238
-0.00104974
4.14387e-05
-5.91982e-06
4.60396e-05
-6.57709e-06
0.000174957
1.99053e-20
4.14387e-05
5.91982e-06
4.60396e-05
6.57709e-06
-2.36793e-05
-2.63083e-05
0.000174957
-1.35525e-19
-5.0822e-21
-0.000174957
-5.91982e-06
2.95991e-06
-6.57709e-06
3.28854e-06
1.99053e-20
1.87454e-05
5.91982e-06
2.95991e-06
6.57709e-06
3.28854e-06
-1.0482e-20
-1.27055e-21
-0.000209382
-0.000838491
-0.000838491
-0.000209864
3.48969e-05
4.98528e-06
3.48969e-05
4.98528e-06
0.000139749
-1.69407e-20
3.49774e-05
-4.99677e-06
3.49774e-05
-4.99677e-06
-1.99411e-05
-1.99871e-05
1.05032e-19
0.000139749
-0.000139749
-3.38813e-21
-4.98528e-06
-2.49264e-06
4.98528e-06
2.49264e-06
-1.69407e-20
1.49731e-05
-4.99677e-06
2.49838e-06
4.99677e-06
-2.49838e-06
8.47033e-21
-1.05879e-21
-0.000879852
-0.000209864
-0.000879852
-0.000230062
3.49774e-05
-4.99677e-06
0.000146642
1.60936e-20
3.83436e-05
-5.47766e-06
3.49774e-05
4.99677e-06
3.83436e-05
-5.47766e-06
-1.99871e-05
-2.19106e-05
0.000146642
-1.15196e-19
-0.000146642
-5.0822e-21
-4.99677e-06
2.49838e-06
1.60936e-20
1.57116e-05
-5.47766e-06
2.73883e-06
4.99677e-06
2.49838e-06
5.47766e-06
-2.73883e-06
-8.99973e-21
-1.05879e-21
-0.000248632
-0.000957388
-0.000230062
-0.000957388
4.14387e-05
5.91982e-06
4.14387e-05
5.91982e-06
3.83436e-05
-5.47766e-06
0.000159565
3.81165e-20
3.83436e-05
5.47766e-06
-2.36793e-05
-2.19106e-05
-1.27055e-19
0.000159565
-1.25361e-19
-0.000159565
-5.91982e-06
-2.95991e-06
5.91982e-06
2.95991e-06
-5.47766e-06
2.73883e-06
3.81165e-20
1.70962e-05
5.47766e-06
2.73883e-06
-9.52912e-21
-1.00585e-20
-0.000172873
-0.000679602
-0.000679602
-0.000166928
2.88121e-05
4.11602e-06
2.88121e-05
4.11602e-06
0.000113267
-1.35525e-20
2.78214e-05
-3.97449e-06
2.78214e-05
-3.97449e-06
-1.64641e-05
-1.58979e-05
8.72444e-20
0.000113267
-0.000113267
-1.69407e-21
-4.11602e-06
-2.05801e-06
4.11602e-06
2.05801e-06
-1.35525e-20
1.21358e-05
-3.97449e-06
1.98724e-06
3.97449e-06
-1.98724e-06
6.98802e-21
-8.47033e-22
-0.000209864
-0.000783224
-0.000783224
-0.000181748
3.49774e-05
4.99677e-06
3.49774e-05
4.99677e-06
0.000130537
3.21873e-20
3.02913e-05
-4.32733e-06
3.02913e-05
-4.32733e-06
-1.99871e-05
-1.73093e-05
-1.06726e-19
0.000130537
-0.000130537
-9.82558e-20
-4.99677e-06
-2.49838e-06
4.99677e-06
2.49838e-06
3.21873e-20
1.39861e-05
-4.32733e-06
2.16366e-06
4.32733e-06
-2.16366e-06
-8.15269e-21
-7.94093e-21
-0.000697353
-0.000166928
-0.000181748
-0.000697353
2.78214e-05
-3.97449e-06
3.02913e-05
-4.32733e-06
0.000116225
1.27055e-20
2.78214e-05
3.97449e-06
3.02913e-05
4.32733e-06
-1.58979e-05
-1.73093e-05
0.000116225
-9.23266e-20
-5.0822e-21
-0.000116225
-3.97449e-06
1.98724e-06
-4.32733e-06
2.16366e-06
1.27055e-20
1.24527e-05
3.97449e-06
1.98724e-06
4.32733e-06
2.16366e-06
-7.19978e-21
-1.05879e-21
-0.000166913
-0.000584135
-0.000584135
-0.000125154
2.78189e-05
3.97412e-06
2.78189e-05
3.97412e-06
9.73558e-05
-1.27055e-20
2.0859e-05
-2.97986e-06
2.0859e-05
-2.97986e-06
-1.58965e-05
-1.19194e-05
8.63974e-20
9.73558e-05
-9.73558e-05
-2.5411e-21
-3.97412e-06
-1.98706e-06
3.97412e-06
1.98706e-06
-1.27055e-20
1.0431e-05
-2.97986e-06
1.48993e-06
2.97986e-06
-1.48993e-06
6.77626e-21
-5.29396e-22
-0.000166928
-0.000577636
-0.000577636
-0.00012189
2.78214e-05
3.97449e-06
2.78214e-05
3.97449e-06
9.62727e-05
2.15993e-20
2.0315e-05
-2.90214e-06
2.0315e-05
-2.90214e-06
-1.58979e-05
-1.16086e-05
-8.89385e-20
9.62727e-05
-9.62727e-05
-6.60686e-20
-3.97449e-06
-1.98724e-06
3.97449e-06
1.98724e-06
2.15993e-20
1.03149e-05
-2.90214e-06
1.45107e-06
2.90214e-06
-1.45107e-06
-6.67038e-21
-5.24102e-21
-0.000494088
-0.000125154
-0.00012189
-0.000494088
2.0859e-05
-2.97986e-06
2.0315e-05
-2.90214e-06
8.2348e-05
9.74088e-21
2.0859e-05
2.97986e-06
2.0315e-05
2.90214e-06
-1.19194e-05
-1.16086e-05
8.2348e-05
-6.69156e-20
-3.38813e-21
-8.2348e-05
-2.97986e-06
1.48993e-06
-2.90214e-06
1.45107e-06
9.74088e-21
8.823e-06
2.97986e-06
1.48993e-06
2.90214e-06
1.45107e-06
-5.29396e-21
-6.35275e-22
-0.000165078
-0.00057814
-0.00057814
-0.000123992
2.75131e-05
3.93044e-06
2.75131e-05
3.93044e-06
9.63567e-05
-1.18585e-20
2.06653e-05
-2.95218e-06
2.06653e-05
-2.95218e-06
-1.57218e-05
-1.18087e-05
8.38563e-20
9.63567e-05
-9.63567e-05
-5.0822e-21
-3.93044e-06
-1.96522e-06
3.93044e-06
1.96522e-06
-1.18585e-20
1.03239e-05
-2.95218e-06
1.47609e-06
2.95218e-06
-1.47609e-06
6.45863e-21
-6.35275e-22
-0.000125154
-0.000498292
-0.000123992
-0.000498292
2.0859e-05
2.97986e-06
2.0859e-05
2.97986e-06
2.06653e-05
-2.95218e-06
8.30486e-05
2.03288e-20
2.06653e-05
2.95218e-06
-1.19194e-05
-1.18087e-05
-6.35275e-20
8.30486e-05
-6.77626e-20
-8.30486e-05
-2.97986e-06
-1.48993e-06
2.97986e-06
1.48993e-06
-2.95218e-06
1.47609e-06
2.03288e-20
8.89806e-06
2.95218e-06
1.47609e-06
-5.0822e-21
-5.3469e-21
-0.00016703
-0.000660198
-0.000660198
-0.00016307
2.78383e-05
3.97689e-06
2.78383e-05
3.97689e-06
0.000110033
-1.35525e-20
2.71783e-05
-3.88261e-06
2.71783e-05
-3.88261e-06
-1.59076e-05
-1.55304e-05
8.63974e-20
0.000110033
-0.000110033
-6.77626e-21
-3.97689e-06
-1.98845e-06
3.97689e-06
1.98845e-06
-1.35525e-20
1.17893e-05
-3.88261e-06
1.94131e-06
3.88261e-06
-1.94131e-06
6.45863e-21
-8.47033e-22
-0.000123992
-0.000489463
-0.000489463
-0.00012074
2.06653e-05
2.95218e-06
2.06653e-05
2.95218e-06
8.15771e-05
1.94818e-20
2.01233e-05
-2.87476e-06
2.01233e-05
-2.87476e-06
-1.18087e-05
-1.1499e-05
-6.35275e-20
8.15771e-05
-8.15771e-05
-6.52215e-20
-2.95218e-06
-1.47609e-06
2.95218e-06
1.47609e-06
1.94818e-20
8.74041e-06
-2.87476e-06
1.43738e-06
2.87476e-06
-1.43738e-06
-4.87044e-21
-5.18808e-21
-0.000567619
-0.00016307
-0.00012074
-0.000567619
2.71783e-05
-3.88261e-06
2.01233e-05
-2.87476e-06
9.46032e-05
1.2282e-20
2.71783e-05
3.88261e-06
2.01233e-05
2.87476e-06
-1.55304e-05
-1.1499e-05
9.46032e-05
-8.89385e-20
-1.69407e-21
-9.46032e-05
-3.88261e-06
1.94131e-06
-2.87476e-06
1.43738e-06
1.2282e-20
1.01361e-05
3.88261e-06
1.94131e-06
2.87476e-06
1.43738e-06
-6.88214e-21
-6.35275e-22
-0.000197356
-0.000796036
-0.000796036
-0.000200662
3.28926e-05
4.69895e-06
3.28926e-05
4.69895e-06
0.000132673
-1.69407e-20
3.34437e-05
-4.77768e-06
3.34437e-05
-4.77768e-06
-1.87958e-05
-1.91107e-05
9.91029e-20
0.000132673
-0.000132673
-3.38813e-21
-4.69895e-06
-2.34947e-06
4.69895e-06
2.34947e-06
-1.69407e-20
1.42149e-05
-4.77768e-06
2.38884e-06
4.77768e-06
-2.38884e-06
7.6233e-21
-1.05879e-21
-0.0007564
-0.000200662
-0.0007564
-0.000177538
3.34437e-05
-4.77768e-06
0.000126067
1.60936e-20
2.95896e-05
-4.22708e-06
3.34437e-05
4.77768e-06
2.95896e-05
-4.22708e-06
-1.91107e-05
-1.69083e-05
0.000126067
-1.0842e-19
-0.000126067
-6.77626e-21
-4.77768e-06
2.38884e-06
1.60936e-20
1.35071e-05
-4.22708e-06
2.11354e-06
4.77768e-06
2.38884e-06
4.22708e-06
-2.11354e-06
-8.36445e-21
-6.35275e-22
-0.00016307
-0.000681215
-0.000177538
-0.000681215
2.71783e-05
3.88261e-06
2.71783e-05
3.88261e-06
2.95896e-05
-4.22708e-06
0.000113536
2.66815e-20
2.95896e-05
4.22708e-06
-1.55304e-05
-1.69083e-05
-8.47033e-20
0.000113536
-9.74088e-20
-0.000113536
-3.88261e-06
-1.94131e-06
3.88261e-06
1.94131e-06
-4.22708e-06
2.11354e-06
2.66815e-20
1.21645e-05
4.22708e-06
2.11354e-06
-6.24687e-21
-7.51742e-21
-0.000223128
-0.000905917
-0.000905917
-0.000229831
3.7188e-05
5.31257e-06
3.7188e-05
5.31257e-06
0.000150986
-1.69407e-20
3.83051e-05
-5.47216e-06
3.83051e-05
-5.47216e-06
-2.12503e-05
-2.18886e-05
1.13502e-19
0.000150986
-0.000150986
-5.0822e-21
-5.31257e-06
-2.65629e-06
5.31257e-06
2.65629e-06
-1.69407e-20
1.61771e-05
-5.47216e-06
2.73608e-06
5.47216e-06
-2.73608e-06
8.78797e-21
-8.47033e-22
-0.000200662
-0.00083958
-0.00083958
-0.000219128
3.34437e-05
4.77768e-06
3.34437e-05
4.77768e-06
0.00013993
3.13402e-20
3.65213e-05
-5.21733e-06
3.65213e-05
-5.21733e-06
-1.91107e-05
-2.08693e-05
-1.04185e-19
0.00013993
-0.00013993
-1.18585e-19
-4.77768e-06
-2.38884e-06
4.77768e-06
2.38884e-06
3.13402e-20
1.49925e-05
-5.21733e-06
2.60866e-06
5.21733e-06
-2.60866e-06
-7.6233e-21
-9.52912e-21
-0.000897917
-0.000229831
-0.000219128
-0.000897917
3.83051e-05
-5.47216e-06
3.65213e-05
-5.21733e-06
0.000149653
1.69407e-20
3.83051e-05
5.47216e-06
3.65213e-05
5.21733e-06
-2.18886e-05
-2.08693e-05
0.000149653
-1.25361e-19
-3.38813e-21
-0.000149653
-5.47216e-06
2.73608e-06
-5.21733e-06
2.60866e-06
1.69407e-20
1.60342e-05
5.47216e-06
2.73608e-06
5.21733e-06
2.60866e-06
-9.95264e-21
-1.48231e-21
-0.000238099
-0.000978159
-0.000978159
-0.00025098
3.96832e-05
5.66903e-06
3.96832e-05
5.66903e-06
0.000163026
-1.86347e-20
4.183e-05
-5.97572e-06
4.183e-05
-5.97572e-06
-2.26761e-05
-2.39029e-05
1.20279e-19
0.000163026
-0.000163026
-6.77626e-21
-5.66903e-06
-2.83452e-06
5.66903e-06
2.83452e-06
-1.86347e-20
1.74671e-05
-5.97572e-06
2.98786e-06
5.97572e-06
-2.98786e-06
9.52912e-21
-1.27055e-21
-0.000229831
-0.000969021
-0.000969021
-0.00025468
3.83051e-05
5.47216e-06
3.83051e-05
5.47216e-06
0.000161503
3.89635e-20
4.24466e-05
-6.0638e-06
4.24466e-05
-6.0638e-06
-2.18886e-05
-2.42552e-05
-1.18585e-19
0.000161503
-0.000161503
-1.40607e-19
-5.47216e-06
-2.73608e-06
5.47216e-06
2.73608e-06
3.89635e-20
1.73039e-05
-6.0638e-06
3.0319e-06
6.0638e-06
-3.0319e-06
-9.31736e-21
-1.09055e-20
-0.00101132
-0.00025098
-0.00025468
-0.00101132
4.183e-05
-5.97572e-06
4.24466e-05
-6.0638e-06
0.000168553
2.07523e-20
4.183e-05
5.97572e-06
4.24466e-05
6.0638e-06
-2.39029e-05
-2.42552e-05
0.000168553
-1.35525e-19
-6.77626e-21
-0.000168553
-5.97572e-06
2.98786e-06
-6.0638e-06
3.0319e-06
2.07523e-20
1.80593e-05
5.97572e-06
2.98786e-06
6.0638e-06
3.0319e-06
-1.05879e-20
-1.27055e-21
-0.000238581
-0.000967404
-0.000967404
-0.000245121
3.97635e-05
5.68049e-06
3.97635e-05
5.68049e-06
0.000161234
-1.86347e-20
4.08535e-05
-5.83622e-06
4.08535e-05
-5.83622e-06
-2.2722e-05
-2.33449e-05
1.21973e-19
0.000161234
-0.000161234
-6.77626e-21
-5.68049e-06
-2.84025e-06
5.68049e-06
2.84025e-06
-1.86347e-20
1.72751e-05
-5.83622e-06
2.91811e-06
5.83622e-06
-2.91811e-06
9.21148e-21
-8.47033e-22
-0.00025098
-0.00103111
-0.00103111
-0.000264574
4.183e-05
5.97572e-06
4.183e-05
5.97572e-06
0.000171851
3.89635e-20
4.40956e-05
-6.29938e-06
4.40956e-05
-6.29938e-06
-2.39029e-05
-2.51975e-05
-1.30443e-19
0.000171851
-0.000171851
-1.4569e-19
-5.97572e-06
-2.98786e-06
5.97572e-06
2.98786e-06
3.89635e-20
1.84126e-05
-6.29938e-06
3.14969e-06
6.29938e-06
-3.14969e-06
-9.74088e-21
-1.17526e-20
-0.00101939
-0.000245121
-0.000264574
-0.00101939
4.08535e-05
-5.83622e-06
4.40956e-05
-6.29938e-06
0.000169898
1.77877e-20
4.08535e-05
5.83622e-06
4.40956e-05
6.29938e-06
-2.33449e-05
-2.51975e-05
0.000169898
-1.33831e-19
-6.77626e-21
-0.000169898
-5.83622e-06
2.91811e-06
-6.29938e-06
3.14969e-06
1.77877e-20
1.82034e-05
5.83622e-06
2.91811e-06
6.29938e-06
3.14969e-06
-1.05879e-20
-1.27055e-21
-0.000249636
-0.000915014
-0.000915014
-0.000207871
4.1606e-05
5.94371e-06
4.1606e-05
5.94371e-06
0.000152502
-1.73642e-20
3.46451e-05
-4.94931e-06
3.46451e-05
-4.94931e-06
-2.37749e-05
-1.97972e-05
1.28749e-19
0.000152502
-0.000152502
-3.38813e-21
-5.94371e-06
-2.97186e-06
5.94371e-06
2.97186e-06
-1.73642e-20
1.63395e-05
-4.94931e-06
2.47465e-06
4.94931e-06
-2.47465e-06
9.635e-21
-6.35275e-22
-0.000245121
-0.000905984
-0.000207871
-0.000905984
4.08535e-05
5.83622e-06
4.08535e-05
5.83622e-06
3.46451e-05
-4.94931e-06
0.000150997
3.81165e-20
3.46451e-05
4.94931e-06
-2.33449e-05
-1.97972e-05
-1.25361e-19
0.000150997
-1.13502e-19
-0.000150997
-5.83622e-06
-2.91811e-06
5.83622e-06
2.91811e-06
-4.94931e-06
2.47465e-06
3.81165e-20
1.61783e-05
4.94931e-06
2.47465e-06
-9.74088e-21
-8.89385e-21
-0.000195001
-0.000804577
-0.000804577
-0.000207288
3.25001e-05
4.64287e-06
3.25001e-05
4.64287e-06
0.000134096
-1.43996e-20
3.4548e-05
-4.93543e-06
3.4548e-05
-4.93543e-06
-1.85715e-05
-1.97417e-05
9.65618e-20
0.000134096
-0.000134096
-3.38813e-21
-4.64287e-06
-2.32143e-06
4.64287e-06
2.32143e-06
-1.43996e-20
1.43674e-05
-4.93543e-06
2.46771e-06
4.93543e-06
-2.46771e-06
7.72918e-21
-8.47033e-22
-0.000207871
-0.000830317
-0.000207288
-0.000830317
3.46451e-05
4.94931e-06
3.46451e-05
4.94931e-06
3.4548e-05
-4.93543e-06
0.000138386
3.21873e-20
3.4548e-05
4.93543e-06
-1.97972e-05
-1.97417e-05
-1.09267e-19
0.000138386
-1.13502e-19
-0.000138386
-4.94931e-06
-2.47465e-06
4.94931e-06
2.47465e-06
-4.93543e-06
2.46771e-06
3.21873e-20
1.48271e-05
4.93543e-06
2.46771e-06
-8.47033e-21
-8.89385e-21
-0.000256936
-0.00115797
-0.00115797
-0.000322049
4.28227e-05
6.11752e-06
4.28227e-05
6.11752e-06
0.000192995
-2.03288e-20
5.36748e-05
-7.66783e-06
5.36748e-05
-7.66783e-06
-2.44701e-05
-3.06713e-05
1.30443e-19
0.000192995
-0.000192995
-1.01644e-20
-6.11752e-06
-3.05876e-06
6.11752e-06
3.05876e-06
-2.03288e-20
2.0678e-05
-7.66783e-06
3.83392e-06
7.66783e-06
-3.83392e-06
1.01644e-20
-8.47033e-22
-0.000207288
-0.00103489
-0.00103489
-0.000310157
3.4548e-05
4.93543e-06
3.4548e-05
4.93543e-06
0.000172482
3.89635e-20
5.16929e-05
-7.3847e-06
5.16929e-05
-7.3847e-06
-1.97417e-05
-2.95388e-05
-1.05879e-19
0.000172482
-0.000172482
-1.69407e-19
-4.93543e-06
-2.46771e-06
4.93543e-06
2.46771e-06
3.89635e-20
1.84802e-05
-7.3847e-06
3.69235e-06
7.3847e-06
-3.69235e-06
-8.04681e-21
-1.33408e-20
-0.00126441
-0.000322049
-0.000310157
-0.00126441
5.36748e-05
-7.66783e-06
5.16929e-05
-7.3847e-06
0.000210735
2.5411e-20
5.36748e-05
7.66783e-06
5.16929e-05
7.3847e-06
-3.06713e-05
-2.95388e-05
0.000210735
-1.76183e-19
-3.38813e-21
-0.000210735
-7.66783e-06
3.83392e-06
-7.3847e-06
3.69235e-06
2.5411e-20
2.25788e-05
7.66783e-06
3.83392e-06
7.3847e-06
3.69235e-06
-1.35525e-20
-1.69407e-21
-0.000251423
-0.00103384
-0.00103384
-0.000265497
4.19039e-05
5.98627e-06
4.19039e-05
5.98627e-06
0.000172307
-2.03288e-20
4.42495e-05
-6.32136e-06
4.42495e-05
-6.32136e-06
-2.39451e-05
-2.52855e-05
1.30443e-19
0.000172307
-0.000172307
-6.77626e-21
-5.98627e-06
-2.99313e-06
5.98627e-06
2.99313e-06
-2.03288e-20
1.84614e-05
-6.32136e-06
3.16068e-06
6.32136e-06
-3.16068e-06
9.95264e-21
-1.27055e-21
-0.00120811
-0.000265497
-0.00120811
-0.000338559
4.42495e-05
-6.32136e-06
0.000201352
1.86347e-20
5.64265e-05
-8.06093e-06
4.42495e-05
6.32136e-06
5.64265e-05
-8.06093e-06
-2.52855e-05
-3.22437e-05
0.000201352
-1.43996e-19
-0.000201352
-1.35525e-20
-6.32136e-06
3.16068e-06
1.86347e-20
2.15734e-05
-8.06093e-06
4.03047e-06
6.32136e-06
3.16068e-06
8.06093e-06
-4.03047e-06
-1.10114e-20
-2.11758e-21
-0.000322049
-0.00132122
-0.000338559
-0.00132122
5.36748e-05
7.66783e-06
5.36748e-05
7.66783e-06
5.64265e-05
-8.06093e-06
0.000220203
5.33631e-20
5.64265e-05
8.06093e-06
-3.06713e-05
-3.22437e-05
-1.67713e-19
0.000220203
-1.84653e-19
-0.000220203
-7.66783e-06
-3.83392e-06
7.66783e-06
3.83392e-06
-8.06093e-06
4.03047e-06
5.33631e-20
2.35932e-05
8.06093e-06
4.03047e-06
-1.24937e-20
-1.46113e-20
-0.000215091
-0.000865993
-0.000865993
-0.000217905
3.58486e-05
5.12123e-06
3.58486e-05
5.12123e-06
0.000144332
-1.69407e-20
3.63175e-05
-5.18821e-06
3.63175e-05
-5.18821e-06
-2.04849e-05
-2.07529e-05
1.10114e-19
0.000144332
-0.000144332
-5.0822e-21
-5.12123e-06
-2.56061e-06
5.12123e-06
2.56061e-06
-1.69407e-20
1.54642e-05
-5.18821e-06
2.59411e-06
5.18821e-06
-2.59411e-06
8.57621e-21
-8.47033e-22
-0.000265497
-0.0010243
-0.0010243
-0.000246654
4.42495e-05
6.32136e-06
4.42495e-05
6.32136e-06
0.000170717
4.15046e-20
4.1109e-05
-5.87271e-06
4.1109e-05
-5.87271e-06
-2.52855e-05
-2.34909e-05
-1.35525e-19
0.000170717
-0.000170717
-1.32137e-19
-6.32136e-06
-3.16068e-06
6.32136e-06
3.16068e-06
4.15046e-20
1.82911e-05
-5.87271e-06
2.93636e-06
5.87271e-06
-2.93636e-06
-9.74088e-21
-1.05879e-20
-0.000929118
-0.000217905
-0.000246654
-0.000929118
3.63175e-05
-5.18821e-06
4.1109e-05
-5.87271e-06
0.000154853
1.60936e-20
3.63175e-05
5.18821e-06
4.1109e-05
5.87271e-06
-2.07529e-05
-2.34909e-05
0.000154853
-1.16891e-19
-6.77626e-21
-0.000154853
-5.18821e-06
2.59411e-06
-5.87271e-06
2.93636e-06
1.60936e-20
1.65914e-05
5.18821e-06
2.59411e-06
5.87271e-06
2.93636e-06
-9.31736e-21
-1.05879e-21
-0.000176233
-0.000693475
-0.000693475
-0.000170504
2.93722e-05
4.19603e-06
2.93722e-05
4.19603e-06
0.000115579
-1.52466e-20
2.84173e-05
-4.05962e-06
2.84173e-05
-4.05962e-06
-1.67841e-05
-1.62385e-05
8.97855e-20
0.000115579
-0.000115579
-5.0822e-21
-4.19603e-06
-2.09802e-06
4.19603e-06
2.09802e-06
-1.52466e-20
1.23835e-05
-4.05962e-06
2.02981e-06
4.05962e-06
-2.02981e-06
6.77626e-21
-8.47033e-22
-0.000217905
-0.000811407
-0.000811407
-0.000187798
3.63175e-05
5.18821e-06
3.63175e-05
5.18821e-06
0.000135234
3.04932e-20
3.12997e-05
-4.47139e-06
3.12997e-05
-4.47139e-06
-2.07529e-05
-1.78856e-05
-1.13502e-19
0.000135234
-0.000135234
-9.99499e-20
-5.18821e-06
-2.59411e-06
5.18821e-06
2.59411e-06
3.04932e-20
1.44894e-05
-4.47139e-06
2.2357e-06
4.47139e-06
-2.2357e-06
-8.47033e-21
-8.15269e-21
-0.000716605
-0.000170504
-0.000187798
-0.000716605
2.84173e-05
-4.05962e-06
3.12997e-05
-4.47139e-06
0.000119434
1.3129e-20
2.84173e-05
4.05962e-06
3.12997e-05
4.47139e-06
-1.62385e-05
-1.78856e-05
0.000119434
-9.23266e-20
-3.38813e-21
-0.000119434
-4.05962e-06
2.02981e-06
-4.47139e-06
2.2357e-06
1.3129e-20
1.27965e-05
4.05962e-06
2.02981e-06
4.47139e-06
2.2357e-06
-7.19978e-21
-1.05879e-21
-0.000168779
-0.000590861
-0.000590861
-0.000126651
2.81299e-05
4.01855e-06
2.81299e-05
4.01855e-06
9.84769e-05
-1.27055e-20
2.11086e-05
-3.01551e-06
2.11086e-05
-3.01551e-06
-1.60742e-05
-1.2062e-05
8.47033e-20
9.84769e-05
-9.84769e-05
-2.5411e-21
-4.01855e-06
-2.00928e-06
4.01855e-06
2.00928e-06
-1.27055e-20
1.05511e-05
-3.01551e-06
1.50776e-06
3.01551e-06
-1.50776e-06
6.45863e-21
-5.29396e-22
-0.000170504
-0.000589072
-0.000589072
-0.000124032
2.84173e-05
4.05962e-06
2.84173e-05
4.05962e-06
9.81786e-05
2.24464e-20
2.0672e-05
-2.95314e-06
2.0672e-05
-2.95314e-06
-1.62385e-05
-1.18126e-05
-8.55503e-20
9.81786e-05
-9.81786e-05
-6.77626e-20
-4.05962e-06
-2.02981e-06
4.05962e-06
2.02981e-06
2.24464e-20
1.05191e-05
-2.95314e-06
1.47657e-06
2.95314e-06
-1.47657e-06
-6.56451e-21
-5.3469e-21
-0.000501367
-0.000126651
-0.000124032
-0.000501367
2.11086e-05
-3.01551e-06
2.0672e-05
-2.95314e-06
8.35611e-05
9.74088e-21
2.11086e-05
3.01551e-06
2.0672e-05
2.95314e-06
-1.2062e-05
-1.18126e-05
8.35611e-05
-6.86097e-20
-3.38813e-21
-8.35611e-05
-3.01551e-06
1.50776e-06
-2.95314e-06
1.47657e-06
9.74088e-21
8.95298e-06
3.01551e-06
1.50776e-06
2.95314e-06
1.47657e-06
-5.39984e-21
-7.41154e-22
-0.000165997
-0.000581964
-0.000581964
-0.000124984
2.76662e-05
3.95232e-06
2.76662e-05
3.95232e-06
9.6994e-05
-1.27055e-20
2.08307e-05
-2.97582e-06
2.08307e-05
-2.97582e-06
-1.58093e-05
-1.19033e-05
8.30092e-20
9.6994e-05
-9.6994e-05
-5.0822e-21
-3.95232e-06
-1.97616e-06
3.95232e-06
1.97616e-06
-1.27055e-20
1.03922e-05
-2.97582e-06
1.48791e-06
2.97582e-06
-1.48791e-06
6.77626e-21
-5.29396e-22
-0.000126651
-0.000503272
-0.000124984
-0.000503272
2.11086e-05
3.01551e-06
2.11086e-05
3.01551e-06
2.08307e-05
-2.97582e-06
8.38786e-05
1.99053e-20
2.08307e-05
2.97582e-06
-1.2062e-05
-1.19033e-05
-6.43745e-20
8.38786e-05
-6.77626e-20
-8.38786e-05
-3.01551e-06
-1.50776e-06
3.01551e-06
1.50776e-06
-2.97582e-06
1.48791e-06
1.99053e-20
8.987e-06
2.97582e-06
1.48791e-06
-4.92338e-21
-5.24102e-21
-0.000166124
-0.000658239
-0.000658239
-0.000162995
2.76873e-05
3.95533e-06
2.76873e-05
3.95533e-06
0.000109706
-1.35525e-20
2.71659e-05
-3.88084e-06
2.71659e-05
-3.88084e-06
-1.58213e-05
-1.55234e-05
8.47033e-20
0.000109706
-0.000109706
-6.77626e-21
-3.95533e-06
-1.97767e-06
3.95533e-06
1.97767e-06
-1.35525e-20
1.17543e-05
-3.88084e-06
1.94042e-06
3.88084e-06
-1.94042e-06
6.67038e-21
-6.35275e-22
-0.000124984
-0.000493208
-0.000493208
-0.00012162
2.08307e-05
2.97582e-06
2.08307e-05
2.97582e-06
8.22013e-05
1.90582e-20
2.02699e-05
-2.89571e-06
2.02699e-05
-2.89571e-06
-1.19033e-05
-1.15828e-05
-6.35275e-20
8.22013e-05
-8.22013e-05
-6.77626e-20
-2.97582e-06
-1.48791e-06
2.97582e-06
1.48791e-06
1.90582e-20
8.80729e-06
-2.89571e-06
1.44785e-06
2.89571e-06
-1.44785e-06
-4.87044e-21
-5.29396e-21
-0.00056923
-0.000162995
-0.00012162
-0.00056923
2.71659e-05
-3.88084e-06
2.02699e-05
-2.89571e-06
9.48717e-05
1.2282e-20
2.71659e-05
3.88084e-06
2.02699e-05
2.89571e-06
-1.55234e-05
-1.15828e-05
9.48717e-05
-8.80914e-20
-3.38813e-21
-9.48717e-05
-3.88084e-06
1.94042e-06
-2.89571e-06
1.44785e-06
1.2282e-20
1.01648e-05
3.88084e-06
1.94042e-06
2.89571e-06
1.44785e-06
-6.88214e-21
-7.41154e-22
-0.000191133
-0.000774883
-0.000774883
-0.000196309
3.18554e-05
4.55078e-06
3.18554e-05
4.55078e-06
0.000129147
-1.56701e-20
3.27182e-05
-4.67402e-06
3.27182e-05
-4.67402e-06
-1.82031e-05
-1.86961e-05
9.91029e-20
0.000129147
-0.000129147
-5.0822e-21
-4.55078e-06
-2.27539e-06
4.55078e-06
2.27539e-06
-1.56701e-20
1.38372e-05
-4.67402e-06
2.33701e-06
4.67402e-06
-2.33701e-06
7.51742e-21
-8.47033e-22
-0.000746206
-0.000196309
-0.000746206
-0.000176794
3.27182e-05
-4.67402e-06
0.000124368
1.56701e-20
2.94656e-05
-4.20938e-06
3.27182e-05
4.67402e-06
2.94656e-05
-4.20938e-06
-1.86961e-05
-1.68375e-05
0.000124368
-1.0842e-19
-0.000124368
-5.0822e-21
-4.67402e-06
2.33701e-06
1.56701e-20
1.33251e-05
-4.20938e-06
2.10469e-06
4.67402e-06
2.33701e-06
4.20938e-06
-2.10469e-06
-8.36445e-21
-8.47033e-22
-0.000162995
-0.000679579
-0.000176794
-0.000679579
2.71659e-05
3.88084e-06
2.71659e-05
3.88084e-06
2.94656e-05
-4.20938e-06
0.000113263
2.71051e-20
2.94656e-05
4.20938e-06
-1.55234e-05
-1.68375e-05
-8.21622e-20
0.000113263
-9.65618e-20
-0.000113263
-3.88084e-06
-1.94042e-06
3.88084e-06
1.94042e-06
-4.20938e-06
2.10469e-06
2.71051e-20
1.21353e-05
4.20938e-06
2.10469e-06
-6.56451e-21
-7.51742e-21
-0.000203324
-0.000824034
-0.000824034
-0.000208694
3.38873e-05
4.84104e-06
3.38873e-05
4.84104e-06
0.000137339
-1.52466e-20
3.47823e-05
-4.9689e-06
3.47823e-05
-4.9689e-06
-1.93641e-05
-1.98756e-05
1.04185e-19
0.000137339
-0.000137339
-6.77626e-21
-4.84104e-06
-2.42052e-06
4.84104e-06
2.42052e-06
-1.52466e-20
1.47149e-05
-4.9689e-06
2.48445e-06
4.9689e-06
-2.48445e-06
8.04681e-21
-1.05879e-21
-0.000196309
-0.00080647
-0.00080647
-0.000206926
3.27182e-05
4.67402e-06
3.27182e-05
4.67402e-06
0.000134412
2.96462e-20
3.44877e-05
-4.92681e-06
3.44877e-05
-4.92681e-06
-1.86961e-05
-1.97072e-05
-1.00797e-19
0.000134412
-0.000134412
-1.10114e-19
-4.67402e-06
-2.33701e-06
4.67402e-06
2.33701e-06
2.96462e-20
1.44012e-05
-4.92681e-06
2.4634e-06
4.92681e-06
-2.4634e-06
-7.6233e-21
-8.99973e-21
-0.000831239
-0.000208694
-0.000206926
-0.000831239
3.47823e-05
-4.9689e-06
3.44877e-05
-4.92681e-06
0.00013854
1.52466e-20
3.47823e-05
4.9689e-06
3.44877e-05
4.92681e-06
-1.98756e-05
-1.97072e-05
0.00013854
-1.13502e-19
-1.69407e-21
-0.00013854
-4.9689e-06
2.48445e-06
-4.92681e-06
2.4634e-06
1.52466e-20
1.48436e-05
4.9689e-06
2.48445e-06
4.92681e-06
2.4634e-06
-8.99973e-21
-1.05879e-21
-0.000225631
-0.000830281
-0.000830281
-0.00018951
3.76051e-05
5.37216e-06
3.76051e-05
5.37216e-06
0.00013838
-1.69407e-20
3.1585e-05
-4.51214e-06
3.1585e-05
-4.51214e-06
-2.14886e-05
-1.80486e-05
1.15196e-19
0.00013838
-0.00013838
-5.0822e-21
-5.37216e-06
-2.68608e-06
5.37216e-06
2.68608e-06
-1.69407e-20
1.48265e-05
-4.51214e-06
2.25607e-06
4.51214e-06
-2.25607e-06
9.1056e-21
-8.47033e-22
-0.000208694
-0.00078644
-0.00078644
-0.000184526
3.47823e-05
4.9689e-06
3.47823e-05
4.9689e-06
0.000131073
3.04932e-20
3.07544e-05
-4.39349e-06
3.07544e-05
-4.39349e-06
-1.98756e-05
-1.75739e-05
-1.0842e-19
0.000131073
-0.000131073
-1.01644e-19
-4.9689e-06
-2.48445e-06
4.9689e-06
2.48445e-06
3.04932e-20
1.40436e-05
-4.39349e-06
2.19674e-06
4.39349e-06
-2.19674e-06
-8.15269e-21
-7.94093e-21
-0.000748073
-0.00018951
-0.000184526
-0.000748073
3.1585e-05
-4.51214e-06
3.07544e-05
-4.39349e-06
0.000124679
1.43996e-20
3.1585e-05
4.51214e-06
3.07544e-05
4.39349e-06
-1.80486e-05
-1.75739e-05
0.000124679
-1.03338e-19
-3.38813e-21
-0.000124679
-4.51214e-06
2.25607e-06
-4.39349e-06
2.19674e-06
1.43996e-20
1.33584e-05
4.51214e-06
2.25607e-06
4.39349e-06
2.19674e-06
-8.04681e-21
-8.47033e-22
-0.000319578
-0.00107022
-0.00107022
-0.000215533
5.32629e-05
7.60899e-06
5.32629e-05
7.60899e-06
0.00017837
-2.49875e-20
3.59221e-05
-5.13173e-06
3.59221e-05
-5.13173e-06
-2.05269e-05
-3.0436e-05
1.64324e-19
0.00017837
-0.00017837
-6.77626e-21
-7.60899e-06
-3.8045e-06
7.60899e-06
3.8045e-06
-2.49875e-20
1.91111e-05
-5.13173e-06
2.56587e-06
5.13173e-06
-2.56587e-06
-1.27055e-21
1.24937e-20
-0.00018951
-0.000810085
-0.000215533
-0.000810085
3.1585e-05
4.51214e-06
3.1585e-05
4.51214e-06
3.59221e-05
-5.13173e-06
0.000135014
3.21873e-20
3.59221e-05
5.13173e-06
-1.80486e-05
-2.05269e-05
-9.65618e-20
0.000135014
-1.15196e-19
-0.000135014
-4.51214e-06
-2.25607e-06
4.51214e-06
2.25607e-06
-5.13173e-06
2.56587e-06
3.21873e-20
1.44658e-05
5.13173e-06
2.56587e-06
-7.30566e-21
-9.31736e-21
-0.000307692
-0.00129359
-0.00129359
-0.000339102
5.1282e-05
7.326e-06
5.1282e-05
7.326e-06
0.000215598
4.74338e-20
5.65171e-05
-8.07387e-06
5.65171e-05
-8.07387e-06
-2.9304e-05
-3.22955e-05
-1.57548e-19
0.000215598
-0.000215598
-1.86347e-19
-7.326e-06
-3.663e-06
7.326e-06
3.663e-06
4.74338e-20
2.30998e-05
-8.07387e-06
4.03693e-06
8.07387e-06
-4.03693e-06
-1.20702e-20
-1.48231e-20
-0.000276238
-0.00112098
-0.00112098
-0.000284254
4.60396e-05
6.57709e-06
4.60396e-05
6.57709e-06
0.000186831
-2.37169e-20
4.73757e-05
-6.76796e-06
4.73757e-05
-6.76796e-06
-2.63083e-05
-2.70718e-05
1.42302e-19
0.000186831
-0.000186831
-6.77626e-21
-6.57709e-06
-3.28854e-06
6.57709e-06
3.28854e-06
-2.37169e-20
2.00176e-05
-6.76796e-06
3.38398e-06
6.76796e-06
-3.38398e-06
1.12232e-20
-1.27055e-21
-0.001364
-0.000339102
-0.001364
-0.0003429
5.65171e-05
-8.07387e-06
0.000227334
2.5411e-20
5.71499e-05
-8.16428e-06
5.65171e-05
8.07387e-06
5.71499e-05
-8.16428e-06
-3.22955e-05
-3.26571e-05
0.000227334
-1.35525e-20
-0.000227334
-1.89735e-19
-8.07387e-06
4.03693e-06
2.5411e-20
2.43572e-05
-8.16428e-06
4.08214e-06
8.07387e-06
4.03693e-06
8.16428e-06
-4.08214e-06
-2.11758e-21
-1.52466e-20
-0.00125431
-0.000284254
-0.0003429
-0.00125431
4.73757e-05
-6.76796e-06
5.71499e-05
-8.16428e-06
0.000209051
2.28699e-20
4.73757e-05
6.76796e-06
5.71499e-05
8.16428e-06
-3.26571e-05
-2.70718e-05
0.000209051
-1.52466e-19
-3.38813e-21
-0.000209051
-6.76796e-06
3.38398e-06
-8.16428e-06
4.08214e-06
2.28699e-20
2.23984e-05
6.76796e-06
3.38398e-06
8.16428e-06
4.08214e-06
-2.11758e-21
-1.20702e-20
-0.000215533
-0.000928338
-0.000928338
-0.000248636
3.59221e-05
5.13173e-06
3.59221e-05
5.13173e-06
0.000154723
3.47284e-20
4.14394e-05
-5.91991e-06
4.14394e-05
-5.91991e-06
-2.05269e-05
-2.36796e-05
-1.11808e-19
0.000154723
-0.000154723
-1.35525e-19
-5.13173e-06
-2.56587e-06
5.13173e-06
2.56587e-06
3.47284e-20
1.65775e-05
-5.91991e-06
2.95996e-06
5.91991e-06
-2.95996e-06
-8.57621e-21
-1.06938e-20
-0.000339102
-0.00117548
-0.000248636
-0.00117548
5.65171e-05
8.07387e-06
5.65171e-05
8.07387e-06
4.14394e-05
-5.91991e-06
0.000195913
-2.49875e-20
4.14394e-05
5.91991e-06
-2.36796e-05
-3.22955e-05
1.71101e-19
0.000195913
-3.38813e-21
-0.000195913
-8.07387e-06
-4.03693e-06
8.07387e-06
4.03693e-06
-5.91991e-06
2.95996e-06
-2.49875e-20
2.09907e-05
5.91991e-06
2.95996e-06
-1.05879e-21
1.3129e-20
-0.000181748
-0.000737581
-0.000737581
-0.000187043
3.02913e-05
4.32733e-06
3.02913e-05
4.32733e-06
0.00012293
-1.35525e-20
3.11738e-05
-4.45339e-06
3.11738e-05
-4.45339e-06
-1.73093e-05
-1.78136e-05
9.31736e-20
0.00012293
-0.00012293
-6.77626e-21
-4.32733e-06
-2.16366e-06
4.32733e-06
2.16366e-06
-1.35525e-20
1.31711e-05
-4.45339e-06
2.2267e-06
4.45339e-06
-2.2267e-06
6.98802e-21
-6.35275e-22
-0.000230062
-0.000932079
-0.000932079
-0.000235978
3.83436e-05
5.47766e-06
3.83436e-05
5.47766e-06
0.000155347
3.55754e-20
3.93297e-05
-5.61852e-06
3.93297e-05
-5.61852e-06
-2.19106e-05
-2.24741e-05
-1.16891e-19
0.000155347
-0.000155347
-1.30443e-19
-5.47766e-06
-2.73883e-06
5.47766e-06
2.73883e-06
3.55754e-20
1.66443e-05
-5.61852e-06
2.80926e-06
5.61852e-06
-2.80926e-06
-9.21148e-21
-1.01644e-20
-0.000807427
-0.000187043
-0.000807427
-0.000216671
3.11738e-05
-4.45339e-06
0.000134571
1.3976e-20
3.61118e-05
-5.15883e-06
3.11738e-05
4.45339e-06
3.61118e-05
-5.15883e-06
-1.78136e-05
-2.06353e-05
0.000134571
-9.99499e-20
-0.000134571
-6.77626e-21
-4.45339e-06
2.2267e-06
1.3976e-20
1.44183e-05
-5.15883e-06
2.57941e-06
4.45339e-06
2.2267e-06
5.15883e-06
-2.57941e-06
-8.15269e-21
-8.47033e-22
-0.000905298
-0.000235978
-0.000216671
-0.000905298
3.93297e-05
-5.61852e-06
3.61118e-05
-5.15883e-06
0.000150883
1.60936e-20
3.93297e-05
5.61852e-06
3.61118e-05
5.15883e-06
-2.06353e-05
-2.24741e-05
0.000150883
-5.0822e-21
-1.18585e-19
-0.000150883
-5.61852e-06
2.80926e-06
-5.15883e-06
2.57941e-06
1.60936e-20
1.6166e-05
5.61852e-06
2.80926e-06
5.15883e-06
2.57941e-06
-9.21148e-21
-1.48231e-21
-0.00012189
-0.000491397
-0.000491397
-0.000123809
2.0315e-05
2.90214e-06
2.0315e-05
2.90214e-06
8.18995e-05
-1.01644e-20
2.06348e-05
-2.94783e-06
2.06348e-05
-2.94783e-06
-1.16086e-05
-1.17913e-05
6.09864e-20
8.18995e-05
-8.18995e-05
-1.69407e-21
-2.90214e-06
-1.45107e-06
2.90214e-06
1.45107e-06
-1.01644e-20
8.77495e-06
-2.94783e-06
1.47391e-06
2.94783e-06
-1.47391e-06
4.87044e-21
-5.29396e-22
-0.000583806
-0.000123809
-0.000583806
-0.000168094
2.06348e-05
-2.94783e-06
9.7301e-05
8.89385e-21
2.80157e-05
-4.00224e-06
2.06348e-05
2.94783e-06
2.80157e-05
-4.00224e-06
-1.17913e-05
-1.6009e-05
9.7301e-05
-6.86097e-20
-9.7301e-05
-5.0822e-21
-2.94783e-06
1.47391e-06
8.89385e-21
1.04251e-05
-4.00224e-06
2.00112e-06
2.94783e-06
1.47391e-06
4.00224e-06
-2.00112e-06
-5.24102e-21
-4.23516e-22
-0.000187043
-0.000710274
-0.000168094
-0.000710274
3.11738e-05
4.45339e-06
3.11738e-05
4.45339e-06
2.80157e-05
-4.00224e-06
0.000118379
2.6258e-20
2.80157e-05
4.00224e-06
-1.6009e-05
-1.78136e-05
-9.57147e-20
0.000118379
-8.97855e-20
-0.000118379
-4.45339e-06
-2.2267e-06
4.45339e-06
2.2267e-06
-4.00224e-06
2.00112e-06
2.6258e-20
1.26835e-05
4.00224e-06
2.00112e-06
-6.98802e-21
-7.30566e-21
-0.00012074
-0.000123809
-0.000489097
-0.000489097
2.01233e-05
2.87476e-06
2.01233e-05
2.87476e-06
2.06348e-05
2.94783e-06
2.06348e-05
2.94783e-06
8.15162e-05
-1.69407e-21
-1.1499e-05
-1.17913e-05
6.18334e-20
-6.26804e-20
8.15162e-05
-8.15162e-05
-2.87476e-06
-1.43738e-06
2.87476e-06
1.43738e-06
-2.94783e-06
-1.47391e-06
2.94783e-06
1.47391e-06
-1.69407e-21
8.73388e-06
4.71162e-21
-4.76456e-21
-0.000177538
-0.000724903
-0.000724903
-0.000184914
2.95896e-05
4.22708e-06
2.95896e-05
4.22708e-06
0.000120817
2.71051e-20
3.0819e-05
-4.40272e-06
3.0819e-05
-4.40272e-06
-1.69083e-05
-1.76109e-05
-9.23266e-20
0.000120817
-0.000120817
-1.01644e-19
-4.22708e-06
-2.11354e-06
4.22708e-06
2.11354e-06
2.71051e-20
1.29447e-05
-4.40272e-06
2.20136e-06
4.40272e-06
-2.20136e-06
-6.77626e-21
-8.15269e-21
-0.000219128
-0.000896555
-0.000896555
-0.00022915
3.65213e-05
5.21733e-06
3.65213e-05
5.21733e-06
0.000149426
-1.65171e-20
3.81916e-05
-5.45595e-06
3.81916e-05
-5.45595e-06
-2.08693e-05
-2.18238e-05
1.11808e-19
0.000149426
-0.000149426
-6.77626e-21
-5.21733e-06
-2.60866e-06
5.21733e-06
2.60866e-06
-1.65171e-20
1.60099e-05
-5.45595e-06
2.72797e-06
5.45595e-06
-2.72797e-06
8.57621e-21
-1.05879e-21
-0.000797275
-0.000184914
-0.000797275
-0.000213723
3.0819e-05
-4.40272e-06
0.000132879
1.60936e-20
3.56206e-05
-5.08865e-06
3.0819e-05
4.40272e-06
3.56206e-05
-5.08865e-06
-1.76109e-05
-2.03546e-05
0.000132879
-6.77626e-21
-0.000132879
-1.15196e-19
-4.40272e-06
2.20136e-06
1.60936e-20
1.42371e-05
-5.08865e-06
2.54433e-06
4.40272e-06
2.20136e-06
5.08865e-06
-2.54433e-06
-1.05879e-21
-9.1056e-21
-0.000885746
-0.00022915
-0.000213723
-0.000885746
3.81916e-05
-5.45595e-06
3.56206e-05
-5.08865e-06
0.000147624
1.69407e-20
3.81916e-05
5.45595e-06
3.56206e-05
5.08865e-06
-2.18238e-05
-2.03546e-05
0.000147624
-1.25361e-19
-5.0822e-21
-0.000147624
-5.45595e-06
2.72797e-06
-5.08865e-06
2.54433e-06
1.69407e-20
1.58169e-05
5.45595e-06
2.72797e-06
5.08865e-06
2.54433e-06
-9.84676e-21
-8.47033e-22
-0.000168094
-0.000184914
-0.000706017
-0.000706017
2.80157e-05
4.00224e-06
2.80157e-05
4.00224e-06
3.0819e-05
4.40272e-06
3.0819e-05
4.40272e-06
0.000117669
-1.69407e-21
-1.6009e-05
-1.76109e-05
-8.63974e-20
9.23266e-20
0.000117669
-0.000117669
-4.00224e-06
-2.00112e-06
4.00224e-06
2.00112e-06
-4.40272e-06
-2.20136e-06
4.40272e-06
2.20136e-06
-1.69407e-21
1.26074e-05
-6.56451e-21
6.98802e-21
-0.00025468
-0.00105325
-0.00105325
-0.000271945
4.24466e-05
6.0638e-06
4.24466e-05
6.0638e-06
0.000175541
-2.03288e-20
4.53241e-05
-6.47487e-06
4.53241e-05
-6.47487e-06
-2.42552e-05
-2.58995e-05
1.33831e-19
0.000175541
-0.000175541
-6.77626e-21
-6.0638e-06
-3.0319e-06
6.0638e-06
3.0319e-06
-2.03288e-20
1.8808e-05
-6.47487e-06
3.23744e-06
6.47487e-06
-3.23744e-06
1.01644e-20
-8.47033e-22
-0.00022915
-0.000977174
-0.000977174
-0.000259437
3.81916e-05
5.45595e-06
3.81916e-05
5.45595e-06
0.000162862
3.55754e-20
4.32396e-05
-6.17708e-06
4.32396e-05
-6.17708e-06
-2.18238e-05
-2.47083e-05
-1.20279e-19
0.000162862
-0.000162862
-1.40607e-19
-5.45595e-06
-2.72797e-06
5.45595e-06
2.72797e-06
3.55754e-20
1.74495e-05
-6.17708e-06
3.08854e-06
6.17708e-06
-3.08854e-06
-9.21148e-21
-1.13291e-20
-0.00106276
-0.000271945
-0.000259437
-0.00106276
4.53241e-05
-6.47487e-06
4.32396e-05
-6.17708e-06
0.000177127
2.03288e-20
4.53241e-05
6.47487e-06
4.32396e-05
6.17708e-06
-2.58995e-05
-2.47083e-05
0.000177127
-1.47384e-19
-8.47033e-21
-0.000177127
-6.47487e-06
3.23744e-06
-6.17708e-06
3.08854e-06
2.03288e-20
1.89779e-05
6.47487e-06
3.23744e-06
6.17708e-06
3.08854e-06
-1.14349e-20
-1.27055e-21
-0.000264574
-0.0011791
-0.0011791
-0.000324975
4.40956e-05
6.29938e-06
4.40956e-05
6.29938e-06
0.000196516
-1.86347e-20
5.41625e-05
-7.7375e-06
5.41625e-05
-7.7375e-06
-2.51975e-05
-3.095e-05
1.37219e-19
0.000196516
-0.000196516
-1.01644e-20
-6.29938e-06
-3.14969e-06
6.29938e-06
3.14969e-06
-1.86347e-20
2.10553e-05
-7.7375e-06
3.86875e-06
7.7375e-06
-3.86875e-06
1.07997e-20
-1.69407e-21
-0.00134505
-0.000324975
-0.00134505
-0.000347549
5.41625e-05
-7.7375e-06
0.000224174
2.5411e-20
5.79248e-05
-8.27497e-06
5.41625e-05
7.7375e-06
5.79248e-05
-8.27497e-06
-3.095e-05
-3.30999e-05
0.000224174
-1.76183e-19
-0.000224174
-1.01644e-20
-7.7375e-06
3.86875e-06
2.5411e-20
2.40187e-05
-8.27497e-06
4.13748e-06
7.7375e-06
3.86875e-06
8.27497e-06
-4.13748e-06
-1.37643e-20
-8.47033e-22
-0.000271945
-0.00123899
-0.000347549
-0.00123899
4.53241e-05
6.47487e-06
4.53241e-05
6.47487e-06
5.79248e-05
-8.27497e-06
0.000206498
5.0822e-20
5.79248e-05
8.27497e-06
-2.58995e-05
-3.30999e-05
-1.37219e-19
0.000206498
-1.88041e-19
-0.000206498
-6.47487e-06
-3.23744e-06
6.47487e-06
3.23744e-06
-8.27497e-06
4.13748e-06
5.0822e-20
2.21248e-05
8.27497e-06
4.13748e-06
-1.05879e-20
-1.48231e-20
-0.000310157
-0.000324975
-0.00127026
-0.00127026
5.16929e-05
7.3847e-06
5.16929e-05
7.3847e-06
5.41625e-05
7.7375e-06
5.41625e-05
7.7375e-06
0.000211711
0
-2.95388e-05
-3.095e-05
1.60936e-19
-1.69407e-19
0.000211711
-0.000211711
-7.3847e-06
-3.69235e-06
7.3847e-06
3.69235e-06
-7.7375e-06
-3.86875e-06
7.7375e-06
3.86875e-06
0
2.26833e-05
1.2282e-20
-1.24937e-20
-0.000338559
-0.00137542
-0.00137542
-0.00034915
5.64265e-05
8.06093e-06
5.64265e-05
8.06093e-06
0.000229237
5.2516e-20
5.81917e-05
-8.3131e-06
5.81917e-05
-8.3131e-06
-3.22437e-05
-3.32524e-05
-1.72795e-19
0.000229237
-0.000229237
-1.89735e-19
-8.06093e-06
-4.03047e-06
8.06093e-06
4.03047e-06
5.2516e-20
2.45611e-05
-8.3131e-06
4.15655e-06
8.3131e-06
-4.15655e-06
-1.3129e-20
-1.46113e-20
-0.000246654
-0.00100378
-0.00100378
-0.000255238
4.1109e-05
5.87271e-06
4.1109e-05
5.87271e-06
0.000167297
-1.86347e-20
4.25397e-05
-6.07711e-06
4.25397e-05
-6.07711e-06
-2.34909e-05
-2.43084e-05
1.23667e-19
0.000167297
-0.000167297
-5.0822e-21
-5.87271e-06
-2.93636e-06
5.87271e-06
2.93636e-06
-1.86347e-20
1.79247e-05
-6.07711e-06
3.03855e-06
6.07711e-06
-3.03855e-06
9.84676e-21
-8.47033e-22
-0.00108652
-0.000255238
-0.00108652
-0.000288021
4.25397e-05
-6.07711e-06
0.000181086
1.94818e-20
4.80035e-05
-6.85764e-06
4.25397e-05
6.07711e-06
4.80035e-05
-6.85764e-06
-2.43084e-05
-2.74305e-05
0.000181086
-1.37219e-19
-0.000181086
0
-6.07711e-06
3.03855e-06
1.94818e-20
1.94021e-05
-6.85764e-06
3.42882e-06
6.07711e-06
3.03855e-06
6.85764e-06
-3.42882e-06
-1.11173e-20
-1.69407e-21
-0.00127434
-0.00034915
-0.000288021
-0.00127434
5.81917e-05
-8.3131e-06
4.80035e-05
-6.85764e-06
0.00021239
2.28699e-20
5.81917e-05
8.3131e-06
4.80035e-05
6.85764e-06
-3.32524e-05
-2.74305e-05
0.00021239
-1.35525e-20
-1.57548e-19
-0.00021239
-8.3131e-06
4.15655e-06
-6.85764e-06
3.42882e-06
2.28699e-20
2.27561e-05
8.3131e-06
4.15655e-06
6.85764e-06
3.42882e-06
-2.11758e-21
-1.17526e-20
-0.00034915
-0.0014165
-0.0014165
-0.000359102
5.81917e-05
8.3131e-06
5.81917e-05
8.3131e-06
0.000236084
-2.5411e-20
5.98503e-05
-8.55004e-06
5.98503e-05
-8.55004e-06
-3.32524e-05
-3.42001e-05
1.76183e-19
0.000236084
-0.000236084
-1.01644e-20
-8.3131e-06
-4.15655e-06
8.3131e-06
4.15655e-06
-2.5411e-20
2.52947e-05
-8.55004e-06
4.27502e-06
8.55004e-06
-4.27502e-06
1.27055e-20
-1.27055e-21
-0.000347549
-0.0014133
-0.000359102
-0.0014133
5.79248e-05
8.27497e-06
5.79248e-05
8.27497e-06
5.98503e-05
-8.55004e-06
0.00023555
5.42101e-20
5.98503e-05
8.55004e-06
-3.30999e-05
-3.42001e-05
-1.79571e-19
0.00023555
-1.96512e-19
-0.00023555
-8.27497e-06
-4.13748e-06
8.27497e-06
4.13748e-06
-8.55004e-06
4.27502e-06
5.42101e-20
2.52375e-05
8.55004e-06
4.27502e-06
-1.35525e-20
-1.50348e-20
-0.000187798
-0.000762667
-0.000762667
-0.000193535
3.12997e-05
4.47139e-06
3.12997e-05
4.47139e-06
0.000127111
-1.3129e-20
3.22559e-05
-4.60798e-06
3.22559e-05
-4.60798e-06
-1.78856e-05
-1.84319e-05
9.40207e-20
0.000127111
-0.000127111
-3.38813e-21
-4.47139e-06
-2.2357e-06
4.47139e-06
2.2357e-06
-1.3129e-20
1.36191e-05
-4.60798e-06
2.30399e-06
4.60798e-06
-2.30399e-06
6.98802e-21
-1.05879e-21
-0.000842482
-0.000193535
-0.000842482
-0.000227706
3.22559e-05
-4.60798e-06
0.000140414
1.52466e-20
3.7951e-05
-5.42157e-06
3.22559e-05
4.60798e-06
3.7951e-05
-5.42157e-06
-1.84319e-05
-2.16863e-05
0.000140414
-1.03338e-19
-0.000140414
-3.38813e-21
-4.60798e-06
2.30399e-06
1.52466e-20
1.50443e-05
-5.42157e-06
2.71078e-06
4.60798e-06
2.30399e-06
5.42157e-06
-2.71078e-06
-8.47033e-21
-8.47033e-22
-0.000255238
-0.000965889
-0.000227706
-0.000965889
4.25397e-05
6.07711e-06
4.25397e-05
6.07711e-06
3.7951e-05
-5.42157e-06
0.000160981
3.72694e-20
3.7951e-05
5.42157e-06
-2.43084e-05
-2.16863e-05
-1.30443e-19
0.000160981
-1.21973e-19
-0.000160981
-6.07711e-06
-3.03855e-06
6.07711e-06
3.03855e-06
-5.42157e-06
2.71078e-06
3.72694e-20
1.7248e-05
5.42157e-06
2.71078e-06
-1.01644e-20
-9.74088e-21
-0.000124032
-0.000499211
-0.000499211
-0.000125574
2.0672e-05
2.95314e-06
2.0672e-05
2.95314e-06
8.32019e-05
-1.03762e-20
2.09289e-05
-2.98985e-06
2.09289e-05
-2.98985e-06
-1.18126e-05
-1.19594e-05
6.35275e-20
8.32019e-05
-8.32019e-05
-2.5411e-21
-2.95314e-06
-1.47657e-06
2.95314e-06
1.47657e-06
-1.03762e-20
8.91449e-06
-2.98985e-06
1.49492e-06
2.98985e-06
-1.49492e-06
4.76456e-21
-5.29396e-22
-0.000594818
-0.000125574
-0.000594818
-0.000171835
2.09289e-05
-2.98985e-06
9.91363e-05
9.74088e-21
2.86392e-05
-4.09131e-06
2.09289e-05
2.98985e-06
2.86392e-05
-4.09131e-06
-1.19594e-05
-1.63653e-05
9.91363e-05
-6.86097e-20
-9.91363e-05
-3.38813e-21
-2.98985e-06
1.49492e-06
9.74088e-21
1.06217e-05
-4.09131e-06
2.04566e-06
2.98985e-06
1.49492e-06
4.09131e-06
-2.04566e-06
-5.24102e-21
-4.23516e-22
-0.000193535
-0.000730741
-0.000171835
-0.000730741
3.22559e-05
4.60798e-06
3.22559e-05
4.60798e-06
2.86392e-05
-4.09131e-06
0.00012179
2.71051e-20
2.86392e-05
4.09131e-06
-1.84319e-05
-1.63653e-05
-9.99499e-20
0.00012179
-9.23266e-20
-0.00012179
-4.60798e-06
-2.30399e-06
4.60798e-06
2.30399e-06
-4.09131e-06
2.04566e-06
2.71051e-20
1.30489e-05
4.09131e-06
2.04566e-06
-7.51742e-21
-7.51742e-21
-0.00012162
-0.000125574
-0.000494387
-0.000494387
2.02699e-05
2.89571e-06
2.02699e-05
2.89571e-06
2.09289e-05
2.98985e-06
2.09289e-05
2.98985e-06
8.23978e-05
1.69407e-21
-1.15828e-05
-1.19594e-05
6.09864e-20
-6.52215e-20
8.23978e-05
-8.23978e-05
-2.89571e-06
-1.44785e-06
2.89571e-06
1.44785e-06
-2.98985e-06
-1.49492e-06
2.98985e-06
1.49492e-06
1.69407e-21
8.82833e-06
4.76456e-21
-4.87044e-21
-0.000176794
-0.000727963
-0.000727963
-0.000187188
2.94656e-05
4.20938e-06
2.94656e-05
4.20938e-06
0.000121327
2.87991e-20
3.1198e-05
-4.45685e-06
3.1198e-05
-4.45685e-06
-1.68375e-05
-1.78274e-05
-9.14796e-20
0.000121327
-0.000121327
-1.03338e-19
-4.20938e-06
-2.10469e-06
4.20938e-06
2.10469e-06
2.87991e-20
1.29993e-05
-4.45685e-06
2.22843e-06
4.45685e-06
-2.22843e-06
-6.77626e-21
-7.94093e-21
-0.000206926
-0.000863691
-0.000863691
-0.000224919
3.44877e-05
4.92681e-06
3.44877e-05
4.92681e-06
0.000143948
-1.52466e-20
3.74866e-05
-5.35522e-06
3.74866e-05
-5.35522e-06
-1.97072e-05
-2.14209e-05
1.02491e-19
0.000143948
-0.000143948
-6.77626e-21
-4.92681e-06
-2.4634e-06
4.92681e-06
2.4634e-06
-1.52466e-20
1.5423e-05
-5.35522e-06
2.67761e-06
5.35522e-06
-2.67761e-06
8.25857e-21
-1.05879e-21
-0.000812706
-0.000187188
-0.000812706
-0.000219165
3.1198e-05
-4.45685e-06
0.000135451
1.60936e-20
3.65275e-05
-5.21822e-06
3.1198e-05
4.45685e-06
3.65275e-05
-5.21822e-06
-1.78274e-05
-2.08729e-05
0.000135451
-1.69407e-21
-0.000135451
-1.18585e-19
-4.45685e-06
2.22843e-06
1.60936e-20
1.45126e-05
-5.21822e-06
2.60911e-06
4.45685e-06
2.22843e-06
5.21822e-06
-2.60911e-06
-1.27055e-21
-9.52912e-21
-0.000888169
-0.000224919
-0.000219165
-0.000888169
3.74866e-05
-5.35522e-06
3.65275e-05
-5.21822e-06
0.000148028
1.69407e-20
3.74866e-05
5.35522e-06
3.65275e-05
5.21822e-06
-2.14209e-05
-2.08729e-05
0.000148028
-1.25361e-19
-3.38813e-21
-0.000148028
-5.35522e-06
2.67761e-06
-5.21822e-06
2.60911e-06
1.69407e-20
1.58602e-05
5.35522e-06
2.67761e-06
5.21822e-06
2.60911e-06
-9.84676e-21
-8.47033e-22
-0.000171835
-0.000187188
-0.000718046
-0.000718046
2.86392e-05
4.09131e-06
2.86392e-05
4.09131e-06
3.1198e-05
4.45685e-06
3.1198e-05
4.45685e-06
0.000119674
-8.47033e-22
-1.63653e-05
-1.78274e-05
-8.89385e-20
9.74088e-20
0.000119674
-0.000119674
-4.09131e-06
-2.04566e-06
4.09131e-06
2.04566e-06
-4.45685e-06
-2.22843e-06
4.45685e-06
2.22843e-06
-8.47033e-22
1.28223e-05
-7.19978e-21
7.30566e-21
-0.000184526
-0.000827574
-0.000827574
-0.000229261
3.07544e-05
4.39349e-06
3.07544e-05
4.39349e-06
0.000137929
-1.43996e-20
3.82101e-05
-5.45859e-06
3.82101e-05
-5.45859e-06
-1.75739e-05
-2.18344e-05
9.48677e-20
0.000137929
-0.000137929
-3.38813e-21
-4.39349e-06
-2.19674e-06
4.39349e-06
2.19674e-06
-1.43996e-20
1.47781e-05
-5.45859e-06
2.72929e-06
5.45859e-06
-2.72929e-06
7.41154e-21
-1.05879e-21
-0.00103639
-0.000229261
-0.00103639
-0.000288933
3.82101e-05
-5.45859e-06
0.000172731
1.69407e-20
4.81555e-05
-6.87936e-06
3.82101e-05
5.45859e-06
4.81555e-05
-6.87936e-06
-2.18344e-05
-2.75175e-05
0.000172731
-1.21973e-19
-0.000172731
-6.77626e-21
-5.45859e-06
2.72929e-06
1.69407e-20
1.85069e-05
-6.87936e-06
3.43968e-06
5.45859e-06
2.72929e-06
6.87936e-06
-3.43968e-06
-9.95264e-21
-1.69407e-21
-0.000224919
-0.00102771
-0.000288933
-0.00102771
3.74866e-05
5.35522e-06
3.74866e-05
5.35522e-06
4.81555e-05
-6.87936e-06
0.000171284
3.89635e-20
4.81555e-05
6.87936e-06
-2.14209e-05
-2.75175e-05
-1.16891e-19
0.000171284
-1.59242e-19
-0.000171284
-5.35522e-06
-2.67761e-06
5.35522e-06
2.67761e-06
-6.87936e-06
3.43968e-06
3.89635e-20
1.83519e-05
6.87936e-06
3.43968e-06
-8.89385e-21
-1.24937e-20
-0.000248636
-0.000229261
-0.000955794
-0.000955794
4.14394e-05
5.91991e-06
4.14394e-05
5.91991e-06
3.82101e-05
5.45859e-06
3.82101e-05
5.45859e-06
0.000159299
-3.38813e-21
-2.36796e-05
-2.18344e-05
1.27055e-19
-1.15196e-19
0.000159299
-0.000159299
-5.91991e-06
-2.95996e-06
5.91991e-06
2.95996e-06
-5.45859e-06
-2.72929e-06
5.45859e-06
2.72929e-06
-3.38813e-21
1.70677e-05
9.52912e-21
-9.31736e-21
-0.000235978
-0.00100581
-0.00100581
-0.000266926
3.93297e-05
5.61852e-06
3.93297e-05
5.61852e-06
0.000167635
-1.69407e-20
4.44877e-05
-6.35538e-06
4.44877e-05
-6.35538e-06
-2.24741e-05
-2.54215e-05
1.20279e-19
0.000167635
-0.000167635
-5.0822e-21
-5.61852e-06
-2.80926e-06
5.61852e-06
2.80926e-06
-1.69407e-20
1.79609e-05
-6.35538e-06
3.17769e-06
6.35538e-06
-3.17769e-06
8.89385e-21
-1.27055e-21
-0.000284254
-0.00110236
-0.000266926
-0.00110236
4.73757e-05
6.76796e-06
4.73757e-05
6.76796e-06
4.44877e-05
-6.35538e-06
0.000183727
4.23516e-20
4.44877e-05
6.35538e-06
-2.70718e-05
-2.54215e-05
-1.47384e-19
0.000183727
-1.4569e-19
-0.000183727
-6.76796e-06
-3.38398e-06
6.76796e-06
3.38398e-06
-6.35538e-06
3.17769e-06
4.23516e-20
1.9685e-05
6.35538e-06
3.17769e-06
-1.10114e-20
-1.15408e-20
-0.000213723
-0.000883712
-0.000883712
-0.000228133
3.56206e-05
5.08865e-06
3.56206e-05
5.08865e-06
0.000147285
-1.77877e-20
3.80221e-05
-5.43173e-06
3.80221e-05
-5.43173e-06
-2.03546e-05
-2.17269e-05
1.06726e-19
0.000147285
-0.000147285
-6.77626e-21
-5.08865e-06
-2.54433e-06
5.08865e-06
2.54433e-06
-1.77877e-20
1.57806e-05
-5.43173e-06
2.71586e-06
5.43173e-06
-2.71586e-06
8.47033e-21
-1.27055e-21
-0.000216671
-0.000889607
-0.000228133
-0.000889607
3.61118e-05
5.15883e-06
3.61118e-05
5.15883e-06
3.80221e-05
-5.43173e-06
0.000148268
3.38813e-20
3.80221e-05
5.43173e-06
-2.06353e-05
-2.17269e-05
-1.10114e-19
0.000148268
-1.25361e-19
-0.000148268
-5.15883e-06
-2.57941e-06
5.15883e-06
2.57941e-06
-5.43173e-06
2.71586e-06
3.38813e-20
1.58858e-05
5.43173e-06
2.71586e-06
-8.36445e-21
-9.52912e-21
-0.000259437
-0.00106302
-0.00106302
-0.000272073
4.32396e-05
6.17708e-06
4.32396e-05
6.17708e-06
0.00017717
-2.20229e-20
4.53455e-05
-6.47793e-06
4.53455e-05
-6.47793e-06
-2.47083e-05
-2.59117e-05
1.32137e-19
0.00017717
-0.00017717
-1.01644e-20
-6.17708e-06
-3.08854e-06
6.17708e-06
3.08854e-06
-2.20229e-20
1.89825e-05
-6.47793e-06
3.23897e-06
6.47793e-06
-3.23897e-06
9.84676e-21
-1.27055e-21
-0.000228133
-0.00096883
-0.00096883
-0.000256283
3.80221e-05
5.43173e-06
3.80221e-05
5.43173e-06
0.000161472
3.72694e-20
4.27138e-05
-6.10197e-06
4.27138e-05
-6.10197e-06
-2.17269e-05
-2.44079e-05
-1.15196e-19
0.000161472
-0.000161472
-1.38913e-19
-5.43173e-06
-2.71586e-06
5.43173e-06
2.71586e-06
3.72694e-20
1.73005e-05
-6.10197e-06
3.05098e-06
6.10197e-06
-3.05098e-06
-8.57621e-21
-1.10114e-20
-0.00105671
-0.000272073
-0.000256283
-0.00105671
4.53455e-05
-6.47793e-06
4.27138e-05
-6.10197e-06
0.000176119
1.94818e-20
4.53455e-05
6.47793e-06
4.27138e-05
6.10197e-06
-2.59117e-05
-2.44079e-05
0.000176119
-1.49078e-19
-1.18585e-20
-0.000176119
-6.47793e-06
3.23897e-06
-6.10197e-06
3.05098e-06
1.94818e-20
1.88698e-05
6.47793e-06
3.23897e-06
6.10197e-06
3.05098e-06
-1.18585e-20
-1.27055e-21
-0.000227706
-0.000934968
-0.000934968
-0.000239778
3.7951e-05
5.42157e-06
3.7951e-05
5.42157e-06
0.000155828
3.64224e-20
3.9963e-05
-5.709e-06
3.9963e-05
-5.709e-06
-2.16863e-05
-2.2836e-05
-1.16891e-19
0.000155828
-0.000155828
-1.30443e-19
-5.42157e-06
-2.71078e-06
5.42157e-06
2.71078e-06
3.64224e-20
1.66959e-05
-5.709e-06
2.8545e-06
5.709e-06
-2.8545e-06
-8.99973e-21
-1.0482e-20
-0.000219165
-0.000917886
-0.000239778
-0.000917886
3.65275e-05
5.21822e-06
3.65275e-05
5.21822e-06
3.9963e-05
-5.709e-06
0.000152981
-1.73642e-20
3.9963e-05
5.709e-06
-2.08729e-05
-2.2836e-05
1.13502e-19
0.000152981
-6.77626e-21
-0.000152981
-5.21822e-06
-2.60911e-06
5.21822e-06
2.60911e-06
-5.709e-06
2.8545e-06
-1.73642e-20
1.63908e-05
5.709e-06
2.8545e-06
8.57621e-21
-1.27055e-21
-0.000288021
-0.00116049
-0.00116049
-0.000292224
4.80035e-05
6.85764e-06
4.80035e-05
6.85764e-06
0.000193415
4.23516e-20
4.87041e-05
-6.95773e-06
4.87041e-05
-6.95773e-06
-2.74305e-05
-2.78309e-05
-1.49078e-19
0.000193415
-0.000193415
-1.60936e-19
-6.85764e-06
-3.42882e-06
6.85764e-06
3.42882e-06
4.23516e-20
2.0723e-05
-6.95773e-06
3.47886e-06
6.95773e-06
-3.47886e-06
-1.14349e-20
-1.27055e-20
-0.000239778
-0.00102684
-0.00102684
-0.000273641
3.9963e-05
5.709e-06
3.9963e-05
5.709e-06
0.00017114
-1.82112e-20
4.56069e-05
-6.51527e-06
4.56069e-05
-6.51527e-06
-2.2836e-05
-2.60611e-05
1.23667e-19
0.00017114
-0.00017114
-8.47033e-21
-5.709e-06
-2.8545e-06
5.709e-06
2.8545e-06
-1.82112e-20
1.83364e-05
-6.51527e-06
3.25763e-06
6.51527e-06
-3.25763e-06
9.635e-21
-1.27055e-21
-0.00113173
-0.000292224
-0.000273641
-0.00113173
4.87041e-05
-6.95773e-06
4.56069e-05
-6.51527e-06
0.000188622
2.11758e-20
4.87041e-05
6.95773e-06
4.56069e-05
6.51527e-06
-2.60611e-05
-2.78309e-05
0.000188622
-3.38813e-21
-1.47384e-19
-0.000188622
-6.95773e-06
3.47886e-06
-6.51527e-06
3.25763e-06
2.11758e-20
2.02095e-05
6.95773e-06
3.47886e-06
6.51527e-06
3.25763e-06
-1.16467e-20
-2.11758e-21
-0.000359102
-0.00131411
-0.00131411
-0.000297952
5.98503e-05
8.55004e-06
5.98503e-05
8.55004e-06
0.000219018
5.2516e-20
4.96587e-05
-7.0941e-06
4.96587e-05
-7.0941e-06
-3.42001e-05
-2.83764e-05
-1.82959e-19
0.000219018
-0.000219018
-1.59242e-19
-8.55004e-06
-4.27502e-06
8.55004e-06
4.27502e-06
5.2516e-20
2.34662e-05
-7.0941e-06
3.54705e-06
7.0941e-06
-3.54705e-06
-1.35525e-20
-1.3129e-20
-0.000292224
-0.00118756
-0.00118756
-0.000301553
4.87041e-05
6.95773e-06
4.87041e-05
6.95773e-06
0.000197926
-2.5411e-20
5.02589e-05
-7.17984e-06
5.02589e-05
-7.17984e-06
-2.78309e-05
-2.87193e-05
1.5416e-19
0.000197926
-0.000197926
0
-6.95773e-06
-3.47886e-06
6.95773e-06
3.47886e-06
-2.5411e-20
2.12063e-05
-7.17984e-06
3.58992e-06
7.17984e-06
-3.58992e-06
1.12232e-20
-1.69407e-21
-0.00119901
-0.000297952
-0.000301553
-0.00119901
4.96587e-05
-7.0941e-06
5.02589e-05
-7.17984e-06
0.000199835
2.4564e-20
4.96587e-05
7.0941e-06
5.02589e-05
7.17984e-06
-2.83764e-05
-2.87193e-05
0.000199835
-1.35525e-20
-1.64324e-19
-0.000199835
-7.0941e-06
3.54705e-06
-7.17984e-06
3.58992e-06
2.4564e-20
2.14109e-05
7.0941e-06
3.54705e-06
7.17984e-06
3.58992e-06
-2.11758e-21
-1.35525e-20
-0.000272073
-0.000297952
-0.00114005
-0.00114005
4.53455e-05
6.47793e-06
4.53455e-05
6.47793e-06
4.96587e-05
7.0941e-06
4.96587e-05
7.0941e-06
0.000190008
-1.69407e-21
-2.59117e-05
-2.83764e-05
-1.38913e-19
1.50772e-19
0.000190008
-0.000190008
-6.47793e-06
-3.23897e-06
6.47793e-06
3.23897e-06
-7.0941e-06
-3.54705e-06
7.0941e-06
3.54705e-06
-1.69407e-21
2.0358e-05
-1.05879e-20
1.16467e-20
-0.000288933
-0.00122255
-0.00122255
-0.000322343
4.81555e-05
6.87936e-06
4.81555e-05
6.87936e-06
0.000203759
4.40457e-20
5.37238e-05
-7.67483e-06
5.37238e-05
-7.67483e-06
-2.75175e-05
-3.06993e-05
-1.4569e-19
0.000203759
-0.000203759
-1.74489e-19
-6.87936e-06
-3.43968e-06
6.87936e-06
3.43968e-06
4.40457e-20
2.18313e-05
-7.67483e-06
3.83741e-06
7.67483e-06
-3.83741e-06
-1.14349e-20
-1.3976e-20
-0.0003429
-0.00136582
-0.00136582
-0.000340011
5.71499e-05
8.16428e-06
5.71499e-05
8.16428e-06
0.000227637
-2.71051e-20
5.66684e-05
-8.09549e-06
5.66684e-05
-8.09549e-06
-3.26571e-05
-3.2382e-05
1.77877e-19
0.000227637
-0.000227637
-6.77626e-21
-8.16428e-06
-4.08214e-06
8.16428e-06
4.08214e-06
-2.71051e-20
2.43897e-05
-8.09549e-06
4.04775e-06
8.09549e-06
-4.04775e-06
1.3129e-20
-2.11758e-21
-0.00132471
-0.000322343
-0.000340011
-0.00132471
5.37238e-05
-7.67483e-06
5.66684e-05
-8.09549e-06
0.000220784
2.6258e-20
5.37238e-05
7.67483e-06
5.66684e-05
8.09549e-06
-3.06993e-05
-3.2382e-05
0.000220784
-1.01644e-20
-1.84653e-19
-0.000220784
-7.67483e-06
3.83741e-06
-8.09549e-06
4.04775e-06
2.6258e-20
2.36555e-05
7.67483e-06
3.83741e-06
8.09549e-06
4.04775e-06
-1.27055e-21
-1.43996e-20
-0.000273641
-0.000322343
-0.00119197
-0.00119197
4.56069e-05
6.51527e-06
4.56069e-05
6.51527e-06
5.37238e-05
7.67483e-06
5.37238e-05
7.67483e-06
0.000198661
-5.0822e-21
-2.60611e-05
-3.06993e-05
-1.38913e-19
1.6263e-19
0.000198661
-0.000198661
-6.51527e-06
-3.25763e-06
6.51527e-06
3.25763e-06
-7.67483e-06
-3.83741e-06
7.67483e-06
3.83741e-06
-5.0822e-21
2.12851e-05
-1.07997e-20
1.29173e-20
-0.000266926
-0.00108349
-0.00108349
-0.000274818
4.44877e-05
6.35538e-06
4.44877e-05
6.35538e-06
0.000180581
4.23516e-20
4.5803e-05
-6.54328e-06
4.5803e-05
-6.54328e-06
-2.54215e-05
-2.61731e-05
-1.35525e-19
0.000180581
-0.000180581
-1.52466e-19
-6.35538e-06
-3.17769e-06
6.35538e-06
3.17769e-06
4.23516e-20
1.9348e-05
-6.54328e-06
3.27164e-06
6.54328e-06
-3.27164e-06
-1.03762e-20
-1.16467e-20
-0.000256283
-0.0010622
-0.000274818
-0.0010622
4.27138e-05
6.10197e-06
4.27138e-05
6.10197e-06
4.5803e-05
-6.54328e-06
0.000177033
-2.24464e-20
4.5803e-05
6.54328e-06
-2.44079e-05
-2.61731e-05
1.27055e-19
0.000177033
-5.0822e-21
-0.000177033
-6.10197e-06
-3.05098e-06
6.10197e-06
3.05098e-06
-6.54328e-06
3.27164e-06
-2.24464e-20
1.89679e-05
6.54328e-06
3.27164e-06
1.01644e-20
-1.69407e-21
-0.000340011
-0.00127269
-0.00127269
-0.000296336
5.66684e-05
8.09549e-06
5.66684e-05
8.09549e-06
0.000212115
4.65868e-20
4.93893e-05
-7.05561e-06
4.93893e-05
-7.05561e-06
-3.2382e-05
-2.82225e-05
-1.76183e-19
0.000212115
-0.000212115
-1.6263e-19
-8.09549e-06
-4.04775e-06
8.09549e-06
4.04775e-06
4.65868e-20
2.27267e-05
-7.05561e-06
3.52781e-06
7.05561e-06
-3.52781e-06
-1.29173e-20
-1.3129e-20
-0.000274818
-0.00114231
-0.000296336
-0.00114231
4.5803e-05
6.54328e-06
4.5803e-05
6.54328e-06
4.93893e-05
-7.05561e-06
0.000190385
-2.20229e-20
4.93893e-05
7.05561e-06
-2.61731e-05
-2.82225e-05
1.37219e-19
0.000190385
-1.01644e-20
-0.000190385
-6.54328e-06
-3.27164e-06
6.54328e-06
3.27164e-06
-7.05561e-06
3.52781e-06
-2.20229e-20
2.03983e-05
7.05561e-06
3.52781e-06
1.07997e-20
-1.27055e-21
-0.000301553
-0.000296336
-0.00119578
-0.00119578
5.02589e-05
7.17984e-06
5.02589e-05
7.17984e-06
4.93893e-05
7.05561e-06
4.93893e-05
7.05561e-06
0.000199296
0
-2.87193e-05
-2.82225e-05
-1.55854e-19
1.52466e-19
0.000199296
-0.000199296
-7.17984e-06
-3.58992e-06
7.17984e-06
3.58992e-06
-7.05561e-06
-3.52781e-06
7.05561e-06
3.52781e-06
0
2.13532e-05
-1.18585e-20
1.18585e-20
0.000173611
0.000173611
0.000173611
-2.48016e-05
-8.47033e-22
-2.48016e-05
-1.09055e-20
-2.48016e-05
-9.74088e-21
1.24008e-05
0.000222579
0.000222579
0.000222579
-3.1797e-05
-1.69407e-21
-3.1797e-05
-1.43996e-20
-3.1797e-05
-1.3129e-20
1.58985e-05
0.0001884
0.0001884
0.0001884
-2.69143e-05
-8.47033e-22
-2.69143e-05
-1.20702e-20
-2.69143e-05
-1.12232e-20
1.34572e-05
0.000254738
0.000254738
0.000254738
-3.63912e-05
-1.63054e-20
-3.63912e-05
-1.69407e-21
-3.63912e-05
1.43996e-20
1.81956e-05
0.00016988
0.00016988
0.00016988
-2.42686e-05
-1.27055e-21
-2.42686e-05
-1.10114e-20
-2.42686e-05
-1.05879e-20
1.21343e-05
0.000192868
0.000192868
0.000192868
-2.75526e-05
-1.28114e-20
-2.75526e-05
-1.27055e-21
-2.75526e-05
1.18585e-20
1.37763e-05
0.00015294
0.00015294
0.00015294
-2.18485e-05
-8.47033e-22
-2.18485e-05
-9.84676e-21
-2.18485e-05
-9.42324e-21
1.09243e-05
0.000164711
0.000164711
0.000164711
-2.35301e-05
-1.06938e-20
-2.35301e-05
-1.27055e-21
-2.35301e-05
1.00585e-20
1.1765e-05
0.000136951
0.000136951
0.000136951
-1.95644e-05
-8.47033e-22
-1.95644e-05
-8.89385e-21
-1.95644e-05
-8.04681e-21
9.7822e-06
0.000139588
0.000139588
0.000139588
-1.99411e-05
-9.21148e-21
-1.99411e-05
-1.27055e-21
-1.99411e-05
8.47033e-21
9.97055e-06
0.000125911
0.000125911
0.000125911
-1.79873e-05
-8.47033e-22
-1.79873e-05
-8.15269e-21
-1.79873e-05
-7.6233e-21
8.99365e-06
0.000115249
0.000115249
0.000115249
-1.64641e-05
-7.30566e-21
-1.64641e-05
-8.47033e-22
-1.64641e-05
6.98802e-21
8.23204e-06
0.000138392
0.000138392
0.000138392
-1.97703e-05
-9.1056e-21
-1.97703e-05
-8.47033e-22
-1.97703e-05
8.89385e-21
9.88517e-06
0.000111275
0.000111275
0.000111275
-1.58965e-05
-7.51742e-21
-1.58965e-05
-8.47033e-22
-1.58965e-05
6.77626e-21
7.94825e-06
0.000136251
0.000136251
0.000136251
-1.94644e-05
-6.35275e-22
-1.94644e-05
-8.89385e-21
-1.94644e-05
-8.04681e-21
9.73218e-06
0.000121597
0.000121597
0.000121597
-1.7371e-05
-6.35275e-22
-1.7371e-05
-7.6233e-21
-1.7371e-05
-6.88214e-21
8.6855e-06
0.000110052
0.000110052
0.000110052
-1.57218e-05
-7.30566e-21
-1.57218e-05
-1.05879e-21
-1.57218e-05
6.45863e-21
7.86088e-06
0.000129599
0.000129599
0.000129599
-1.85141e-05
-6.35275e-22
-1.85141e-05
-8.15269e-21
-1.85141e-05
-7.83505e-21
9.25706e-06
0.000111353
0.000111353
0.000111353
-1.59076e-05
-7.30566e-21
-1.59076e-05
-1.05879e-21
-1.59076e-05
6.45863e-21
7.95379e-06
0.000140511
0.000140511
0.000140511
-2.0073e-05
-1.05879e-21
-2.0073e-05
-9.1056e-21
-2.0073e-05
-8.47033e-21
1.00365e-05
0.000131571
0.000131571
0.000131571
-1.87958e-05
-8.57621e-21
-1.87958e-05
-1.05879e-21
-1.87958e-05
7.6233e-21
9.39789e-06
0.000149037
0.000149037
0.000149037
-2.1291e-05
-1.05879e-21
-2.1291e-05
-9.52912e-21
-2.1291e-05
-8.89385e-21
1.06455e-05
0.000148752
0.000148752
0.000148752
-2.12503e-05
-9.74088e-21
-2.12503e-05
-1.05879e-21
-2.12503e-05
8.78797e-21
1.06251e-05
0.000151889
0.000151889
0.000151889
-2.16984e-05
-1.05879e-21
-2.16984e-05
-9.31736e-21
-2.16984e-05
-8.47033e-21
1.08492e-05
0.000158733
0.000158733
0.000158733
-2.26761e-05
-1.05879e-20
-2.26761e-05
-1.48231e-21
-2.26761e-05
9.52912e-21
1.13381e-05
0.000148061
0.000148061
0.000148061
-2.11516e-05
-1.27055e-21
-2.11516e-05
-9.52912e-21
-2.11516e-05
-8.47033e-21
1.05758e-05
0.000159054
0.000159054
0.000159054
-2.2722e-05
-1.0482e-20
-2.2722e-05
-1.27055e-21
-2.2722e-05
9.21148e-21
1.1361e-05
0.000173611
0.000173611
0.000173611
-2.48016e-05
-1.10114e-20
-2.48016e-05
-1.27055e-21
-2.48016e-05
1.05879e-20
1.24008e-05
0.000142225
0.000142225
0.000142225
-2.03179e-05
-1.27055e-21
-2.03179e-05
-8.99973e-21
-2.03179e-05
-8.47033e-21
1.0159e-05
0.000163802
0.000163802
0.000163802
-2.34003e-05
-8.47033e-22
-2.34003e-05
-1.02703e-20
-2.34003e-05
-9.42324e-21
1.17001e-05
0.00013
0.00013
0.00013
-1.85715e-05
-8.57621e-21
-1.85715e-05
-1.05879e-21
-1.85715e-05
7.72918e-21
9.28574e-06
0.000168736
0.000168736
0.000168736
-2.41052e-05
-1.27055e-21
-2.41052e-05
-1.09055e-20
-2.41052e-05
-9.95264e-21
1.20526e-05
0.000171291
0.000171291
0.000171291
-2.44701e-05
-1.12232e-20
-2.44701e-05
-1.27055e-21
-2.44701e-05
1.01644e-20
1.2235e-05
0.000155558
0.000155558
0.000155558
-2.22226e-05
-8.47033e-22
-2.22226e-05
-9.84676e-21
-2.22226e-05
-8.99973e-21
1.11113e-05
0.000167615
0.000167615
0.000167615
-2.39451e-05
-1.10114e-20
-2.39451e-05
-1.48231e-21
-2.39451e-05
9.95264e-21
1.19725e-05
0.000139233
0.000139233
0.000139233
-1.98904e-05
-1.27055e-21
-1.98904e-05
-8.99973e-21
-1.98904e-05
-7.83505e-21
9.94521e-06
0.000143394
0.000143394
0.000143394
-2.04849e-05
-9.42324e-21
-2.04849e-05
-1.27055e-21
-2.04849e-05
8.57621e-21
1.02425e-05
0.00012745
0.00012745
0.00012745
-1.82072e-05
-1.05879e-21
-1.82072e-05
-8.15269e-21
-1.82072e-05
-7.41154e-21
9.1036e-06
0.000117489
0.000117489
0.000117489
-1.67841e-05
-7.41154e-21
-1.67841e-05
-1.05879e-21
-1.67841e-05
6.77626e-21
8.39206e-06
0.00013935
0.00013935
0.00013935
-1.99071e-05
-8.99973e-21
-1.99071e-05
-1.05879e-21
-1.99071e-05
7.83505e-21
9.95355e-06
0.000112519
0.000112519
0.000112519
-1.60742e-05
-7.30566e-21
-1.60742e-05
-4.23516e-22
-1.60742e-05
6.45863e-21
8.03711e-06
0.000136482
0.000136482
0.000136482
-1.94974e-05
-8.47033e-22
-1.94974e-05
-8.68209e-21
-1.94974e-05
-7.51742e-21
9.74872e-06
0.000121413
0.000121413
0.000121413
-1.73448e-05
-8.47033e-22
-1.73448e-05
-7.72918e-21
-1.73448e-05
-6.98802e-21
8.67239e-06
0.000110665
0.000110665
0.000110665
-1.58093e-05
-7.30566e-21
-1.58093e-05
-6.35275e-22
-1.58093e-05
6.77626e-21
7.90464e-06
0.000128237
0.000128237
0.000128237
-1.83196e-05
-8.47033e-22
-1.83196e-05
-8.36445e-21
-1.83196e-05
-7.41154e-21
9.15978e-06
0.000110749
0.000110749
0.000110749
-1.58213e-05
-7.19978e-21
-1.58213e-05
-6.35275e-22
-1.58213e-05
6.67038e-21
7.91067e-06
0.000136353
0.000136353
0.000136353
-1.9479e-05
-8.47033e-22
-1.9479e-05
-8.68209e-21
-1.9479e-05
-7.94093e-21
9.73948e-06
0.000127422
0.000127422
0.000127422
-1.82031e-05
-8.25857e-21
-1.82031e-05
-8.47033e-22
-1.82031e-05
7.51742e-21
9.10155e-06
0.000140892
0.000140892
0.000140892
-2.01275e-05
-1.27055e-21
-2.01275e-05
-8.99973e-21
-2.01275e-05
-8.04681e-21
1.00637e-05
0.000135549
0.000135549
0.000135549
-1.93641e-05
-8.89385e-21
-1.93641e-05
-1.05879e-21
-1.93641e-05
8.04681e-21
9.68207e-06
0.000158024
0.000158024
0.000158024
-2.25748e-05
-1.05879e-21
-2.25748e-05
-9.95264e-21
-2.25748e-05
-9.1056e-21
1.12874e-05
0.00015042
0.00015042
0.00015042
-2.14886e-05
-1.00585e-20
-2.14886e-05
-1.48231e-21
-2.14886e-05
9.1056e-21
1.07443e-05
0.00020647
0.00020647
0.00020647
-2.94958e-05
-1.69407e-21
-2.94958e-05
-1.37643e-20
-2.94958e-05
-1.2282e-20
1.47479e-05
0.000255438
0.000255438
0.000255438
-3.64911e-05
-1.65171e-20
-3.64911e-05
-1.69407e-21
-3.64911e-05
1.50348e-20
1.82456e-05
0.000211591
0.000211591
0.000211591
-3.02273e-05
-1.69407e-21
-3.02273e-05
-1.35525e-20
-3.02273e-05
-1.2282e-20
1.51137e-05
0.000166424
0.000166424
0.000166424
-2.37749e-05
-1.07997e-20
-2.37749e-05
-1.05879e-21
-2.37749e-05
9.635e-21
1.18874e-05
0.000222733
0.000222733
0.000222733
-3.1819e-05
-1.27055e-21
-3.1819e-05
-1.46113e-20
-3.1819e-05
-1.29173e-20
1.59095e-05
0.000193242
0.000193242
0.000193242
-2.7606e-05
-8.47033e-22
-2.7606e-05
-1.2282e-20
-2.7606e-05
-1.14349e-20
1.3803e-05
0.000233734
0.000233734
0.000233734
-3.33905e-05
-1.69407e-21
-3.33905e-05
-1.50348e-20
-3.33905e-05
-1.35525e-20
1.66953e-05
0.000205128
0.000205128
0.000205128
-2.9304e-05
-1.27055e-21
-2.9304e-05
-1.33408e-20
-2.9304e-05
-1.20702e-20
1.4652e-05
0.000139909
0.000139909
0.000139909
-1.99871e-05
-1.05879e-21
-1.99871e-05
-8.99973e-21
-1.99871e-05
-8.15269e-21
9.99353e-06
0.000111286
0.000111286
0.000111286
-1.58979e-05
-8.47033e-22
-1.58979e-05
-7.19978e-21
-1.58979e-05
-6.67038e-21
7.94897e-06
0.000121165
0.000121165
0.000121165
-1.73093e-05
-7.94093e-21
-1.73093e-05
-1.05879e-21
-1.73093e-05
6.98802e-21
8.65466e-06
8.34361e-05
8.34361e-05
8.34361e-05
-1.19194e-05
-5.29396e-22
-1.19194e-05
-5.29396e-21
-1.19194e-05
-5.0822e-21
5.95972e-06
8.12599e-05
8.12599e-05
8.12599e-05
-1.16086e-05
-5.24102e-21
-1.16086e-05
-6.35275e-22
-1.16086e-05
4.87044e-21
5.80428e-06
8.26611e-05
8.26611e-05
8.26611e-05
-1.18087e-05
-6.35275e-22
-1.18087e-05
-5.3469e-21
-1.18087e-05
-4.87044e-21
5.90436e-06
0.000133775
0.000133775
0.000133775
-1.91107e-05
-1.05879e-21
-1.91107e-05
-8.36445e-21
-1.91107e-05
-7.6233e-21
9.55535e-06
0.000108713
0.000108713
0.000108713
-1.55304e-05
-8.47033e-22
-1.55304e-05
-6.88214e-21
-1.55304e-05
-6.24687e-21
7.76522e-06
8.04932e-05
8.04932e-05
8.04932e-05
-1.1499e-05
-5.18808e-21
-1.1499e-05
-6.35275e-22
-1.1499e-05
4.71162e-21
5.74951e-06
0.000118358
0.000118358
0.000118358
-1.69083e-05
-6.35275e-22
-1.69083e-05
-7.51742e-21
-1.69083e-05
-6.77626e-21
8.45417e-06
0.000153221
0.000153221
0.000153221
-2.18886e-05
-8.47033e-22
-2.18886e-05
-9.95264e-21
-2.18886e-05
-9.31736e-21
1.09443e-05
0.000146085
0.000146085
0.000146085
-2.08693e-05
-9.52912e-21
-2.08693e-05
-1.48231e-21
-2.08693e-05
8.57621e-21
1.04347e-05
0.00016732
0.00016732
0.00016732
-2.39029e-05
-1.27055e-21
-2.39029e-05
-1.05879e-20
-2.39029e-05
-9.74088e-21
1.19514e-05
0.000169786
0.000169786
0.000169786
-2.42552e-05
-1.09055e-20
-2.42552e-05
-1.27055e-21
-2.42552e-05
1.01644e-20
1.21276e-05
0.000163414
0.000163414
0.000163414
-2.33449e-05
-8.47033e-22
-2.33449e-05
-1.05879e-20
-2.33449e-05
-9.74088e-21
1.16724e-05
0.000176383
0.000176383
0.000176383
-2.51975e-05
-1.17526e-20
-2.51975e-05
-1.27055e-21
-2.51975e-05
1.07997e-20
1.25988e-05
0.000138581
0.000138581
0.000138581
-1.97972e-05
-6.35275e-22
-1.97972e-05
-8.89385e-21
-1.97972e-05
-8.47033e-21
9.89861e-06
0.000176998
0.000176998
0.000176998
-2.52855e-05
-1.27055e-21
-2.52855e-05
-1.10114e-20
-2.52855e-05
-9.74088e-21
1.26427e-05
0.000214699
0.000214699
0.000214699
-3.06713e-05
-8.47033e-22
-3.06713e-05
-1.35525e-20
-3.06713e-05
-1.24937e-20
1.53357e-05
0.000225706
0.000225706
0.000225706
-3.22437e-05
-2.11758e-21
-3.22437e-05
-1.46113e-20
-3.22437e-05
-1.3129e-20
1.61219e-05
0.000138192
0.000138192
0.000138192
-1.97417e-05
-8.47033e-22
-1.97417e-05
-8.89385e-21
-1.97417e-05
-8.04681e-21
9.87085e-06
0.00014527
0.00014527
0.00014527
-2.07529e-05
-8.47033e-22
-2.07529e-05
-9.31736e-21
-2.07529e-05
-8.47033e-21
1.03764e-05
0.000164436
0.000164436
0.000164436
-2.34909e-05
-1.05879e-20
-2.34909e-05
-1.05879e-21
-2.34909e-05
9.84676e-21
1.17454e-05
0.000113669
0.000113669
0.000113669
-1.62385e-05
-8.47033e-22
-1.62385e-05
-7.19978e-21
-1.62385e-05
-6.56451e-21
8.11923e-06
0.000125199
0.000125199
0.000125199
-1.78856e-05
-8.15269e-21
-1.78856e-05
-1.05879e-21
-1.78856e-05
6.98802e-21
8.94278e-06
8.44343e-05
8.44343e-05
8.44343e-05
-1.2062e-05
-5.29396e-22
-1.2062e-05
-5.39984e-21
-1.2062e-05
-4.92338e-21
6.03102e-06
8.2688e-05
8.2688e-05
8.2688e-05
-1.18126e-05
-5.3469e-21
-1.18126e-05
-7.41154e-22
-1.18126e-05
4.76456e-21
5.90628e-06
8.3323e-05
8.3323e-05
8.3323e-05
-1.19033e-05
-5.29396e-22
-1.19033e-05
-5.24102e-21
-1.19033e-05
-4.87044e-21
5.95164e-06
0.000130873
0.000130873
0.000130873
-1.86961e-05
-8.47033e-22
-1.86961e-05
-8.36445e-21
-1.86961e-05
-7.6233e-21
9.34805e-06
0.000108664
0.000108664
0.000108664
-1.55234e-05
-6.35275e-22
-1.55234e-05
-6.88214e-21
-1.55234e-05
-6.56451e-21
7.76169e-06
8.10797e-05
8.10797e-05
8.10797e-05
-1.15828e-05
-5.29396e-21
-1.15828e-05
-7.41154e-22
-1.15828e-05
4.76456e-21
5.79141e-06
0.000117863
0.000117863
0.000117863
-1.68375e-05
-8.47033e-22
-1.68375e-05
-7.51742e-21
-1.68375e-05
-6.77626e-21
8.41875e-06
0.000139129
0.000139129
0.000139129
-1.98756e-05
-1.05879e-21
-1.98756e-05
-8.99973e-21
-1.98756e-05
-8.15269e-21
9.93779e-06
0.000137951
0.000137951
0.000137951
-1.97072e-05
-8.99973e-21
-1.97072e-05
-1.05879e-21
-1.97072e-05
8.25857e-21
9.85362e-06
0.00012634
0.00012634
0.00012634
-1.80486e-05
-8.47033e-22
-1.80486e-05
-8.04681e-21
-1.80486e-05
-7.30566e-21
9.02428e-06
0.000123018
0.000123018
0.000123018
-1.75739e-05
-7.94093e-21
-1.75739e-05
-8.47033e-22
-1.75739e-05
7.41154e-21
8.78697e-06
0.000165755
0.000165755
0.000165755
-2.36793e-05
-1.05879e-21
-2.36793e-05
-1.0482e-20
-2.36793e-05
-9.52912e-21
1.18396e-05
0.000184158
0.000184158
0.000184158
-2.63083e-05
-1.21761e-20
-2.63083e-05
-1.27055e-21
-2.63083e-05
1.12232e-20
1.31542e-05
0.000153374
0.000153374
0.000153374
-2.19106e-05
-1.05879e-21
-2.19106e-05
-1.00585e-20
-2.19106e-05
-9.21148e-21
1.09553e-05
0.000206772
0.000206772
0.000206772
-2.95388e-05
-1.33408e-20
-2.95388e-05
-1.69407e-21
-2.95388e-05
1.2282e-20
1.47694e-05
0.000143689
0.000143689
0.000143689
-2.05269e-05
-1.27055e-21
-2.05269e-05
-9.31736e-21
-2.05269e-05
-8.57621e-21
1.02635e-05
0.000213052
0.000213052
0.000213052
-3.0436e-05
-1.3976e-20
-3.0436e-05
-2.11758e-21
-3.0436e-05
1.24937e-20
1.5218e-05
8.25392e-05
8.25392e-05
8.25392e-05
-1.17913e-05
-5.29396e-22
-1.17913e-05
-5.24102e-21
-1.17913e-05
-4.76456e-21
5.89566e-06
0.000112063
0.000112063
0.000112063
-1.6009e-05
-4.23516e-22
-1.6009e-05
-6.98802e-21
-1.6009e-05
-6.56451e-21
8.00449e-06
0.000124695
0.000124695
0.000124695
-1.78136e-05
-6.35275e-22
-1.78136e-05
-8.15269e-21
-1.78136e-05
-7.30566e-21
8.90679e-06
0.00021665
0.00021665
0.00021665
-3.095e-05
-1.69407e-21
-3.095e-05
-1.37643e-20
-3.095e-05
-1.24937e-20
1.5475e-05
0.000152767
0.000152767
0.000152767
-2.18238e-05
-1.05879e-21
-2.18238e-05
-9.84676e-21
-2.18238e-05
-9.21148e-21
1.09119e-05
0.000129024
0.000129024
0.000129024
-1.84319e-05
-1.05879e-21
-1.84319e-05
-8.47033e-21
-1.84319e-05
-7.51742e-21
9.21597e-06
0.000170159
0.000170159
0.000170159
-2.43084e-05
-8.47033e-22
-2.43084e-05
-1.11173e-20
-2.43084e-05
-1.01644e-20
1.21542e-05
0.000151804
0.000151804
0.000151804
-2.16863e-05
-8.47033e-22
-2.16863e-05
-9.74088e-21
-2.16863e-05
-8.99973e-21
1.08431e-05
0.000232767
0.000232767
0.000232767
-3.32524e-05
-1.46113e-20
-3.32524e-05
-2.11758e-21
-3.32524e-05
1.27055e-20
1.66262e-05
0.000192014
0.000192014
0.000192014
-2.74305e-05
-1.69407e-21
-2.74305e-05
-1.17526e-20
-2.74305e-05
-1.14349e-20
1.37153e-05
0.000181296
0.000181296
0.000181296
-2.58995e-05
-8.47033e-22
-2.58995e-05
-1.14349e-20
-2.58995e-05
-1.05879e-20
1.29497e-05
0.000172958
0.000172958
0.000172958
-2.47083e-05
-1.13291e-20
-2.47083e-05
-1.27055e-21
-2.47083e-05
9.84676e-21
1.23542e-05
0.000231699
0.000231699
0.000231699
-3.30999e-05
-8.47033e-22
-3.30999e-05
-1.48231e-20
-3.30999e-05
-1.35525e-20
1.65499e-05
0.000165758
0.000165758
0.000165758
-2.36796e-05
-1.06938e-20
-2.36796e-05
-1.05879e-21
-2.36796e-05
9.52912e-21
1.18398e-05
0.000226068
0.000226068
0.000226068
-3.22955e-05
-1.48231e-20
-3.22955e-05
-2.11758e-21
-3.22955e-05
1.3129e-20
1.61477e-05
8.37158e-05
8.37158e-05
8.37158e-05
-1.19594e-05
-5.29396e-22
-1.19594e-05
-5.24102e-21
-1.19594e-05
-4.87044e-21
5.9797e-06
0.00015284
0.00015284
0.00015284
-2.18344e-05
-1.05879e-21
-2.18344e-05
-9.95264e-21
-2.18344e-05
-9.31736e-21
1.09172e-05
0.000149946
0.000149946
0.000149946
-2.14209e-05
-1.05879e-21
-2.14209e-05
-9.84676e-21
-2.14209e-05
-8.89385e-21
1.07104e-05
0.000114557
0.000114557
0.000114557
-1.63653e-05
-4.23516e-22
-1.63653e-05
-7.51742e-21
-1.63653e-05
-7.19978e-21
8.18263e-06
0.000239401
0.000239401
0.000239401
-3.42001e-05
-1.27055e-21
-3.42001e-05
-1.50348e-20
-3.42001e-05
-1.35525e-20
1.71001e-05
0.000123276
0.000123276
0.000123276
-1.76109e-05
-8.15269e-21
-1.76109e-05
-1.05879e-21
-1.76109e-05
6.98802e-21
8.80544e-06
0.000144447
0.000144447
0.000144447
-2.06353e-05
-8.47033e-22
-2.06353e-05
-9.21148e-21
-2.06353e-05
-8.36445e-21
1.03177e-05
0.000142482
0.000142482
0.000142482
-2.03546e-05
-9.1056e-21
-2.03546e-05
-8.47033e-22
-2.03546e-05
8.47033e-21
1.01773e-05
0.0002286
0.0002286
0.0002286
-3.26571e-05
-1.52466e-20
-3.26571e-05
-2.11758e-21
-3.26571e-05
1.3129e-20
1.63286e-05
0.000189503
0.000189503
0.000189503
-2.70718e-05
-1.27055e-21
-2.70718e-05
-1.20702e-20
-2.70718e-05
-1.10114e-20
1.35359e-05
0.000192622
0.000192622
0.000192622
-2.75175e-05
-1.69407e-21
-2.75175e-05
-1.24937e-20
-2.75175e-05
-1.14349e-20
1.37587e-05
0.000124792
0.000124792
0.000124792
-1.78274e-05
-7.94093e-21
-1.78274e-05
-1.27055e-21
-1.78274e-05
7.30566e-21
8.91371e-06
0.00014611
0.00014611
0.00014611
-2.08729e-05
-9.52912e-21
-2.08729e-05
-8.47033e-22
-2.08729e-05
8.57621e-21
1.04364e-05
0.000157319
0.000157319
0.000157319
-2.24741e-05
-1.01644e-20
-2.24741e-05
-1.48231e-21
-2.24741e-05
8.89385e-21
1.1237e-05
0.000159852
0.000159852
0.000159852
-2.2836e-05
-1.0482e-20
-2.2836e-05
-1.27055e-21
-2.2836e-05
9.635e-21
1.1418e-05
0.000182428
0.000182428
0.000182428
-2.60611e-05
-1.27055e-21
-2.60611e-05
-1.16467e-20
-2.60611e-05
-1.07997e-20
1.30305e-05
0.000152088
0.000152088
0.000152088
-2.17269e-05
-1.27055e-21
-2.17269e-05
-9.52912e-21
-2.17269e-05
-8.57621e-21
1.08635e-05
0.000181382
0.000181382
0.000181382
-2.59117e-05
-1.27055e-21
-2.59117e-05
-1.18585e-20
-2.59117e-05
-1.05879e-20
1.29559e-05
0.000170855
0.000170855
0.000170855
-2.44079e-05
-1.10114e-20
-2.44079e-05
-1.27055e-21
-2.44079e-05
1.01644e-20
1.22039e-05
0.000198635
0.000198635
0.000198635
-2.83764e-05
-1.3129e-20
-2.83764e-05
-2.11758e-21
-2.83764e-05
1.16467e-20
1.41882e-05
0.000194816
0.000194816
0.000194816
-2.78309e-05
-1.27055e-20
-2.78309e-05
-2.11758e-21
-2.78309e-05
1.12232e-20
1.39155e-05
0.000177951
0.000177951
0.000177951
-2.54215e-05
-1.27055e-21
-2.54215e-05
-1.15408e-20
-2.54215e-05
-1.03762e-20
1.27108e-05
0.000214895
0.000214895
0.000214895
-3.06993e-05
-1.3976e-20
-3.06993e-05
-1.27055e-21
-3.06993e-05
1.29173e-20
1.53497e-05
0.000183212
0.000183212
0.000183212
-2.61731e-05
-1.16467e-20
-2.61731e-05
-1.69407e-21
-2.61731e-05
1.07997e-20
1.30866e-05
0.000201035
0.000201035
0.000201035
-2.87193e-05
-1.69407e-21
-2.87193e-05
-1.35525e-20
-2.87193e-05
-1.18585e-20
1.43597e-05
0.000226674
0.000226674
0.000226674
-3.2382e-05
-2.11758e-21
-3.2382e-05
-1.43996e-20
-3.2382e-05
-1.29173e-20
1.6191e-05
0.000197557
0.000197557
0.000197557
-2.82225e-05
-1.3129e-20
-2.82225e-05
-1.27055e-21
-2.82225e-05
1.18585e-20
1.41112e-05
Using the vector we can build the linear combination of the a and the m matrix:
[10]:
mstar.AsVector().data = m.mat.AsVector() + dt * a.mat.AsVector()
# corresponds to M* = M + dt * A
invmstar = mstar.Inverse(freedofs=fes.FreeDofs())
We set the r.h.s. \(f = exp(-6 ((x+\frac12)^2+y^2)) - exp(-6 ((x-\frac12)^2+y^2))\)
[11]:
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", deformation=True)
f += gaussp*v*dx
f.Assemble()
[11]:
<ngsolve.comp.LinearForm at 0x7f34e2bf1730>
and the initial data: \(u_0 = (1-y^2)x\)
[12]:
gfu = GridFunction(fes)
gfu.Set((1-y*y)*x) # note that boundary conditions remain
scene = Draw(gfu,mesh,"u")
we define a simple time loop including some visualization sampling:
[13]:
def TimeStepping(invmstar, initial_cond = None, t0 = 0, tend = 2,
nsamples = 10):
if initial_cond:
gfu.Set(initial_cond)
cnt = 0; time = t0
sample_int = int(floor(tend / dt / nsamples)+1)
gfut = GridFunction(gfu.space,multidim=0)
gfut.AddMultiDimComponent(gfu.vec)
while time < tend - 0.5 * dt:
res = dt * f.vec - dt * a.mat * gfu.vec
gfu.vec.data += invmstar * res
print("\r",time,end="")
scene.Redraw()
if cnt % sample_int == 0:
gfut.AddMultiDimComponent(gfu.vec)
cnt += 1; time = cnt * dt
return gfut
[14]:
%%time
gfut = TimeStepping(invmstar, (1-y*y)*x)
1.999CPU times: user 606 ms, sys: 20.4 ms, total: 627 ms
Wall time: 605 ms
[15]:
Draw(gfut, mesh, interpolate_multidim=True, animate=True)
[15]:
BaseWebGuiScene
Supplementary material:¶
The simple time stepping can be extended in several directions:
Instead of direct one could use iterative solvers
R.h.s. data time-dependent
boundary data time-dependent
Replace implicit Euler time stepping with (Singly diagonal) Runge-Kutta methods
Supplementary 1: Using iterative solvers¶
For a factorization of \(M^\ast\) (and \({M^\ast}^{-1}\)) we required 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 and it suffices to have :math:`M^ast` available as a linear operator
mstar_alt = m.mat + dt * a.mat
has no storage but defines the operator action: sum of two matrix-vector multiplications
iterative solver version (with Jacobi preconditining):
[16]:
mstar_alt = m.mat + dt * a.mat
premstar_alt = m.mat.CreateSmoother() + dt * a.mat.CreateSmoother()
print(premstar_alt)
Sum of
Scale a = 1
Print base-matrix
Scale b = 1
Scale with 0.001:
Print base-matrix
Now, replace the action of the inverse Matrix from the previous script with a solution of a conjugate gradient method:
[17]:
from ngsolve.krylovspace import CGSolver
invmstar_alt = CGSolver(mstar_alt, premstar_alt, tol=1e-8, printrates="\r", maxiter=200)
Now, we can repeat the time stepping. As in 2D direct solvers are quite efficient, this simple preconditioned solver can hardly compete. We hence only do a few time steps:
[18]:
%%time
gfut_a1 = TimeStepping(invmstar_alt, (1-y*y)*x, tend=25*dt, nsamples=5)
CG converged in 106 iterations to residual 3.179997173468708e-11
CG converged in 106 iterations to residual 3.172974283068946e-11
CG converged in 106 iterations to residual 3.1666528830867264e-11
CG converged in 105 iterations to residual 3.502507154825672e-11
CG converged in 105 iterations to residual 3.4933147424173465e-11
CG converged in 105 iterations to residual 3.484797624395548e-11
CG converged in 105 iterations to residual 3.476771620809102e-11
CG converged in 105 iterations to residual 3.4691128105411784e-11
CG converged in 105 iterations to residual 3.461741248001953e-11
CG converged in 105 iterations to residual 3.454608343928488e-11
CG converged in 105 iterations to residual 3.4476873407271355e-11
CG converged in 105 iterations to residual 3.440966273646705e-11
CG converged in 105 iterations to residual 3.4344428616270596e-11
CG converged in 105 iterations to residual 3.428120859428714e-11
CG converged in 105 iterations to residual 3.4220074951956934e-11
CG converged in 105 iterations to residual 3.416111700780233e-11
CG converged in 105 iterations to residual 3.410442911028546e-11
CG converged in 105 iterations to residual 3.405010262573133e-11
CG converged in 105 iterations to residual 3.399822064357001e-11
CG converged in 105 iterations to residual 3.3948854436133415e-11
CG converged in 105 iterations to residual 3.3902060947529143e-11
CG converged in 105 iterations to residual 3.3857880766492275e-11
CG converged in 105 iterations to residual 3.381633617744213e-11
CG converged in 105 iterations to residual 3.377742899478914e-11
CG converged in 105 iterations to residual 3.3741137976274976e-11
0.024CPU times: user 630 ms, sys: 11.1 ms, total: 641 ms
Wall time: 637 ms
[19]:
Draw(gfut_a1, mesh, interpolate_multidim=True, animate=True)
[19]:
BaseWebGuiScene
Supplementary 2: time-dependent r.h.s. data¶
Next: time-dependent r.h.s. data \(f=f(t)\):
Use
Parameter
t representing the time.A
Parameter
is a constantCoefficientFunction
the value of which can be changed with theSet
-function.
[20]:
t = Parameter(0.0)
An example of a time-dependent coefficient that we want to use as r.h.s. in the following is
[21]:
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))
gff = GridFunction(L2(mesh,order=gfu.space.globalorder+1))
gfft = GridFunction(gff.space,multidim=0)
time = 0.0
for i in range(7):
t.Set(3*i/6)
gff.Set(gausspt)
gfft.AddMultiDimComponent(gff.vec)
Draw(gfft, mesh, interpolate_multidim=True, animate=True, autoscale=False, min=-1, max=1)
[21]:
BaseWebGuiScene
Accordingly, we define a different linear form which then has to be assembled in every time step.
[22]:
ft = LinearForm(fes)
ft += gausspt*v*dx
[23]:
def TimeStepping_app2(invmstar, initial_cond = None, t0 = 0, tend = 2,
nsamples = 10):
if initial_cond:
gfu.Set(initial_cond)
cnt = 0; time = t0
sample_int = int(floor(tend / dt / nsamples)+1)
gfut = GridFunction(gfu.space,multidim=0)
gfut.AddMultiDimComponent(gfu.vec)
while time < tend - 0.5 * dt:
t.Set(time)
ft.Assemble()
res = dt * ft.vec - dt * a.mat * gfu.vec
gfu.vec.data += invmstar * res
print("\r",time,end="")
if cnt % sample_int == 0:
gfut.AddMultiDimComponent(gfu.vec)
cnt += 1; time = cnt * dt
return gfut
[24]:
%%time
gfut_a2 = TimeStepping_app2(invmstar, initial_cond=CF(0),tend=2)
Draw(gfut_a2, mesh, interpolate_multidim=True, animate=True,
min=-0.75,max=0.75,autoscale=False)
1.999
CPU times: user 1.6 s, sys: 7.21 ms, total: 1.61 s
Wall time: 5.44 s
[24]:
BaseWebGuiScene
Supplementary 3: 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:
[25]:
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)
[26]:
def TimeStepping_app3(invmstar, initial_cond = None, t0 = 0, tend = 2,
nsamples = 10):
if initial_cond:
gfu.Set(initial_cond)
cnt = 0; time = t0
sample_int = int(floor(tend / dt / nsamples)+1)
gfuD = GridFunction(gfu.space)
gfut = GridFunction(gfu.space,multidim=0)
gfut.AddMultiDimComponent(gfu.vec)
while time < tend - 0.5 * dt:
t.Set(time)
gfuD.Set(uD,BND)
res = m.mat * gfu.vec - mstar *gfuD.vec
gfu.vec.data = gfuD.vec + invmstar * res
print("\r",time,end="")
if cnt % sample_int == 0:
gfut.AddMultiDimComponent(gfu.vec)
cnt += 1; time = cnt * dt
return gfut
[27]:
%%time
gfut_a3 = TimeStepping_app3(invmstar, initial_cond=CF(0),tend=10)
Draw(gfut_a3, mesh, interpolate_multidim=True, animate=True,
#settings = {"subdivision" : 10},
deformation = True, min = 0, max = 0.2, autoscale = False)
9.999
CPU times: user 4.07 s, sys: 26.5 ms, total: 4.1 s
Wall time: 7.83 s
[27]:
BaseWebGuiScene
Supplementary 4: Singly diagonally implicit Runge-Kutta methods¶
Let us 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:
with
The coefficients a,b and c are stored in the butcher tableau:
For an SDIRK method we have \(a^\ast = a_{ii},~i=0,..,s-1\).
Simplest example: Implicit Euler
[28]:
class sdirk1: #order 1 (implicit Euler)
stages = 1
a = [[1]]
b = [1]
c = [1]
astar = 1
Midpoint rule:
[29]:
class MR: #order 2 (midpoint rule)
stages = 1
a = [[0.5]]
b = [1]
c = [0.5]
astar = 0.5
We can use for example the 2 stage SDIRK (order 3) method
with \(p = \frac{3 - \sqrt{3}}{6}\).
[30]:
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
or the 5 stage SDIRK (order 4) method
[31]:
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
We have to update the \(M^\ast\) matrix due to the different diagonal in the butcher tableau. Further, we will also need the inverse mass matrix to compute the slope states \(k_i\).
In the next function, we put setup of the matrices, their inverses and the time stepping in one (larger) loop:
[32]:
def TimeStepping_app4(m, a, butchertab, dt,
initial_cond = None, t0 = 0, tend = 2,
nsamples = 10):
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())
rhsi, Mu0, ui = gfu.vec.CreateVector(),gfu.vec.CreateVector(),gfu.vec.CreateVector()
k = [gfu.vec.CreateVector() for i in range(butchertab.stages)]
if initial_cond:
gfu.Set(initial_cond)
cnt = 0; time = t0
sample_int = int(floor(tend / dt / nsamples)+1)
gfuD = GridFunction(gfu.space)
gfut = GridFunction(gfu.space,multidim=0)
gfut.AddMultiDimComponent(gfu.vec)
while time < tend - 0.5 * dt:
Mu0.data = m.mat * gfu.vec
for i in range(butchertab.stages):
rhsi.data = Mu0
for j in range(0,i):
rhsi.data += dt * butchertab.a[i][j] * k[j]
t.Set(time+butchertab.c[i]*dt)
gfu.Set(uD,BND)
ui.data = gfu.vec; rhsi.data -= mstar * ui
ui.data += invmstar * rhsi
k[i].data = - a.mat * ui
t.Set(time+dt)
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,end="")
if cnt % sample_int == 0:
gfut.AddMultiDimComponent(gfu.vec)
cnt += 1; time = cnt * dt
return gfut
Next, we simply apply the time stepping:
[33]:
gfut_a4 = TimeStepping_app4(m, a, butchertab = sdirk5(),
dt = 0.25, initial_cond=CF(0),tend=10)
Draw(gfut_a4, mesh, interpolate_multidim=True, animate=True,
order = 3,
deformation = True, min = 0, max = 0.2, autoscale = False)
9.75
[33]:
BaseWebGuiScene
Tasks
If you want to play around and explore this tutorial unit, here are a few suggestions:
Make a convergence study (for convergence in space, time and space and time)
Re-introduce non-zero r.h.s. in the RK-script
Generalize the RK script to fully implicit RK schemes (using product spaces, or block matrices, …)