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

\[\text{find } u:[0,T] \to H_{0,D}^1 \quad \int_{\Omega} \partial_t u v + \int_{\Omega} \nabla u \nabla v + b \cdot \nabla u v = \int f v \quad \forall v \in H_{0,D}^1, \quad u(t=0) = u_0\]

with a suitable advective field \(b\) (the wind).

[1]:
#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

\[b(x,y) := (2y(1-x^2),-2x(1-y^2)).\]
[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 0x7fda59780f70>

Implicit Euler method

\[\underbrace{(M + \Delta t A)}_{M^\ast} u^{n+1} = M u^n + \Delta tf^{n+1}\]

or in an incremental form:

\[M^\ast (u^{n+1} - u^n) = - \Delta t A u^n + \Delta tf^{n+1}.\]
  • Incremental form: \(u^{n+1} - u^n\) has homogeneous boundary conditions (unless boundary conditions are time-dependent).

  • For the time stepping method: set up linear combinations of matrices.

  • (Only) if the sparsity pattern of the matrices agree we can copy the pattern and sum up the entries.

First, we create a matrix of 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:
../../_images/i-tutorials_unit-3.1-parabolic_parabolic_12_3.png
[7]:
print("sparsity pattern mstar:")
ShowPattern(mstar,binarize=True)

sparsity pattern mstar:
../../_images/i-tutorials_unit-3.1-parabolic_parabolic_13_1.png

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
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 -1.05032e-19
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 6.81764e-05
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 0.000127829
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 0.000131887
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 -1.03338e-19
 -0.000191133
 9.91029e-20
 0.000128237
 0.000136353
 0.000127422
 0.00204529
 0.0123838
 0.00211338
 0.00407853
 0.00414662
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 -1.11808e-19
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 7.04461e-05
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 0.000135951
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 0.000138221
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 1.04185e-19
 0.000136353
 0.000140892
 0.000135549
 0.00211338
 0.0134801
 0.00237036
 0.00436969
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 7.90119e-05
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 0.000154222
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 1.15196e-19
 0.000140892
 0.000158024
 0.00015042
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 -1.32137e-19
 -0.000619411
 0.000103235
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 0.000214602
 -0.00114227
 0.000190378
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 -1.57548e-19
 -0.0003341
 -1.72795e-19
 0.000158024
 0.00020647
 0.000222733
 0.00260417
 0.00643574
 0.00309706
 0.0190656
 0.00692863
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 -1.57548e-19
 0.0001884
 0.000254738
 0.000192868
 0.000193242
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 0.000205128
 0.00544123
 0.00501886
 0.00579165
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 0.000174957
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 -1.27055e-19
 -0.000276238
 1.42302e-19
 0.00016988
 0.000192868
 0.000164711
 0.000193242
 0.000165755
 0.000184158
 0.00476475
 0.00438791
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 0.00419246
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 -3.38813e-21
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 -1.16891e-19
 0.00015294
 0.000164711
 0.000139588
 0.000139909
 0.000165755
 0.000153374
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 0.00378299
 0.00419246
 0.0229244
 0.00339801
 0.00391612
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 -1.69407e-21
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 -0.000139749
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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 0x7fda46f55fb0>

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)

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009000000000000001 0.01 0.011 0.012 0.013000000000000001 0.014 0.015 0.016 0.017 0.018000000000000002 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026000000000000002 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036000000000000004 0.037 0.038 0.039 0.04 0.041 0.042 0.043000000000000003 0.044 0.045 0.046 0.047 0.048 0.049 0.05 0.051000000000000004 0.052000000000000005 0.053 0.054 0.055 0.056 0.057 0.058 0.059000000000000004 0.06 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.07100000000000001 0.07200000000000001 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084 0.085 0.08600000000000001 0.08700000000000001 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096 0.097 0.098 0.099 0.1 0.101 0.10200000000000001 0.10300000000000001 0.10400000000000001 0.105 0.106 0.107 0.108 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.11800000000000001 0.11900000000000001 0.12 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.129 0.13 0.131 0.132 0.133 0.134 0.135 0.136 0.137 0.138 0.139 0.14 0.14100000000000001 0.14200000000000002 0.14300000000000002 0.14400000000000002 0.145 0.146 0.147 0.148 0.149 0.15 0.151 0.152 0.153 0.154 0.155 0.156 0.157 0.158 0.159 0.16 0.161 0.162 0.163 0.164 0.165 0.166 0.167 0.168 0.169 0.17 0.171 0.17200000000000001 0.17300000000000001 0.17400000000000002 0.17500000000000002 0.176 0.177 0.178 0.179 0.18 0.181 0.182 0.183 0.184 0.185 0.186 0.187 0.188 0.189 0.19 0.191 0.192 0.193 0.194 0.195 0.196 0.197 0.198 0.199 0.2 0.201 0.202 0.203 0.20400000000000001 0.20500000000000002 0.20600000000000002 0.20700000000000002 0.20800000000000002 0.209 0.21 0.211 0.212 0.213 0.214 0.215 0.216 0.217 0.218 0.219 0.22 0.221 0.222 0.223 0.224 0.225 0.226 0.227 0.228 0.229 0.23 0.231 0.232 0.233 0.234 0.23500000000000001 0.23600000000000002 0.23700000000000002 0.23800000000000002 0.23900000000000002 0.24 0.241 0.242 0.243 0.244 0.245 0.246 0.247 0.248 0.249 0.25 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259 0.26 0.261 0.262 0.263 0.264 0.265 0.266 0.267 0.268 0.269 0.27 0.271 0.272 0.273 0.274 0.275 0.276 0.277 0.278 0.279 0.28 0.281 0.28200000000000003 0.28300000000000003 0.28400000000000003 0.28500000000000003 0.28600000000000003 0.28700000000000003 0.28800000000000003 0.289 0.29 0.291 0.292 0.293 0.294 0.295 0.296 0.297 0.298 0.299 0.3 0.301 0.302 0.303 0.304 0.305 0.306 0.307 0.308 0.309 0.31 0.311 0.312 0.313 0.314 0.315 0.316 0.317 0.318 0.319 0.32 0.321 0.322 0.323 0.324 0.325 0.326 0.327 0.328 0.329 0.33 0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339 0.34 0.341 0.342 0.343 0.34400000000000003 0.34500000000000003 0.34600000000000003 0.34700000000000003 0.34800000000000003 0.34900000000000003 0.35000000000000003 0.35100000000000003 0.352 0.353 0.354 0.355 0.356 0.357 0.358 0.359 0.36 0.361 0.362 0.363 0.364 0.365 0.366 0.367 0.368 0.369 0.37 0.371 0.372 0.373 0.374 0.375 0.376 0.377 0.378 0.379 0.38 0.381 0.382 0.383 0.384 0.385 0.386 0.387 0.388 0.389 0.39 0.391 0.392 0.393 0.394 0.395 0.396 0.397 0.398 0.399 0.4 0.401 0.402 0.403 0.404 0.405 0.406 0.40700000000000003 0.40800000000000003 0.40900000000000003 0.41000000000000003 0.41100000000000003 0.41200000000000003 0.41300000000000003 0.41400000000000003 0.41500000000000004 0.41600000000000004 0.417 0.418 0.419 0.42 0.421 0.422 0.423 0.424 0.425 0.426 0.427 0.428 0.429 0.43 0.431 0.432 0.433 0.434 0.435 0.436 0.437 0.438 0.439 0.44 0.441 0.442 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.45 0.451 0.452 0.453 0.454 0.455 0.456 0.457 0.458 0.459 0.46 0.461 0.462 0.463 0.464 0.465 0.466 0.467 0.468 0.46900000000000003 0.47000000000000003 0.47100000000000003 0.47200000000000003 0.47300000000000003 0.47400000000000003 0.47500000000000003 0.47600000000000003 0.47700000000000004 0.47800000000000004 0.47900000000000004 0.48 0.481 0.482 0.483 0.484 0.485 0.486 0.487 0.488 0.489 0.49 0.491 0.492 0.493 0.494 0.495 0.496 0.497 0.498 0.499 0.5 0.501 0.502 0.503 0.504 0.505 0.506 0.507 0.508 0.509 0.51 0.511 0.512 0.513 0.514 0.515 0.516 0.517 0.518 0.519 0.52 0.521 0.522 0.523 0.524 0.525 0.526 0.527 0.528 0.529 0.53 0.531 0.532 0.533 0.534 0.535 0.536 0.537 0.538 0.539 0.54 0.541 0.542 0.543 0.544 0.545 0.546 0.547 0.548 0.549 0.55 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 0.56 0.561 0.562 0.5630000000000001 0.5640000000000001 0.5650000000000001 0.5660000000000001 0.5670000000000001 0.5680000000000001 0.5690000000000001 0.5700000000000001 0.5710000000000001 0.5720000000000001 0.5730000000000001 0.5740000000000001 0.5750000000000001 0.5760000000000001 0.577 0.578 0.579 0.58 0.581 0.582 0.583 0.584 0.585 0.586 0.587 0.588 0.589 0.59 0.591 0.592 0.593 0.594 0.595 0.596 0.597 0.598 0.599 0.6 0.601 0.602 0.603 0.604 0.605 0.606 0.607 0.608 0.609 0.61 0.611 0.612 0.613 0.614 0.615 0.616 0.617 0.618 0.619 0.62 0.621 0.622 0.623 0.624 0.625 0.626 0.627 0.628 0.629 0.63 0.631 0.632 0.633 0.634 0.635 0.636 0.637 0.638 0.639 0.64 0.641 0.642 0.643 0.644 0.645 0.646 0.647 0.648 0.649 0.65 0.651 0.652 0.653 0.654 0.655 0.656 0.657 0.658 0.659 0.66 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668 0.669 0.67 0.671 0.672 0.673 0.674 0.675 0.676 0.677 0.678 0.679 0.68 0.681 0.682 0.683 0.684 0.685 0.686 0.687 0.6880000000000001 0.6890000000000001 0.6900000000000001 0.6910000000000001 0.6920000000000001 0.6930000000000001 0.6940000000000001 0.6950000000000001 0.6960000000000001 0.6970000000000001 0.6980000000000001 0.6990000000000001 0.7000000000000001 0.7010000000000001 0.7020000000000001 0.7030000000000001 0.704 0.705 0.706 0.707 0.708 0.709 0.71 0.711 0.712 0.713 0.714 0.715 0.716 0.717 0.718 0.719 0.72 0.721 0.722 0.723 0.724 0.725 0.726 0.727 0.728 0.729 0.73 0.731 0.732 0.733 0.734 0.735 0.736 0.737 0.738 0.739 0.74 0.741 0.742 0.743 0.744 0.745 0.746 0.747 0.748 0.749 0.75 0.751 0.752 0.753 0.754 0.755 0.756 0.757 0.758 0.759 0.76 0.761 0.762 0.763 0.764 0.765 0.766 0.767 0.768 0.769 0.77 0.771 0.772 0.773 0.774 0.775 0.776 0.777 0.778 0.779 0.78 0.781 0.782 0.783 0.784 0.785 0.786 0.787 0.788 0.789 0.79 0.791 0.792 0.793 0.794 0.795 0.796 0.797 0.798 0.799 0.8 0.801 0.802 0.803 0.804 0.805 0.806 0.807 0.808 0.809 0.81 0.811 0.812 0.8130000000000001 0.8140000000000001 0.8150000000000001 0.8160000000000001 0.8170000000000001 0.8180000000000001 0.8190000000000001 0.8200000000000001 0.8210000000000001 0.8220000000000001 0.8230000000000001 0.8240000000000001 0.8250000000000001 0.8260000000000001 0.8270000000000001 0.8280000000000001 0.8290000000000001 0.8300000000000001 0.8310000000000001 0.8320000000000001 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.84 0.841 0.842 0.843 0.844 0.845 0.846 0.847 0.848 0.849 0.85 0.851 0.852 0.853 0.854 0.855 0.856 0.857 0.858 0.859 0.86 0.861 0.862 0.863 0.864 0.865 0.866 0.867 0.868 0.869 0.87 0.871 0.872 0.873 0.874 0.875 0.876 0.877 0.878 0.879 0.88 0.881 0.882 0.883 0.884 0.885 0.886 0.887 0.888 0.889 0.89 0.891 0.892 0.893 0.894 0.895 0.896 0.897 0.898 0.899 0.9 0.901 0.902 0.903 0.904 0.905 0.906 0.907 0.908 0.909 0.91 0.911 0.912 0.913 0.914 0.915 0.916 0.917 0.918 0.919 0.92 0.921 0.922 0.923 0.924 0.925 0.926 0.927 0.928 0.929 0.93 0.931 0.932 0.933 0.934 0.935 0.936 0.937 0.9380000000000001 0.9390000000000001 0.9400000000000001 0.9410000000000001 0.9420000000000001 0.9430000000000001 0.9440000000000001 0.9450000000000001 0.9460000000000001 0.9470000000000001 0.9480000000000001 0.9490000000000001 0.9500000000000001 0.9510000000000001 0.9520000000000001 0.9530000000000001 0.9540000000000001 0.9550000000000001 0.9560000000000001 0.9570000000000001 0.9580000000000001 0.9590000000000001 0.96 0.961 0.962 0.963 0.964 0.965 0.966 0.967 0.968 0.969 0.97 0.971 0.972 0.973 0.974 0.975 0.976 0.977 0.978 0.979 0.98 0.981 0.982 0.983 0.984 0.985 0.986 0.987 0.988 0.989 0.99 0.991 0.992 0.993 0.994 0.995 0.996 0.997 0.998 0.999 1.0 1.0010000000000001 1.002 1.0030000000000001 1.004 1.0050000000000001 1.006 1.0070000000000001 1.008 1.0090000000000001 1.01 1.0110000000000001 1.012 1.0130000000000001 1.014 1.0150000000000001 1.016 1.0170000000000001 1.018 1.0190000000000001 1.02 1.0210000000000001 1.022 1.0230000000000001 1.024 1.025 1.026 1.027 1.028 1.029 1.03 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.04 1.041 1.042 1.043 1.044 1.045 1.046 1.047 1.048 1.049 1.05 1.051 1.052 1.053 1.054 1.055 1.056 1.057 1.058 1.059 1.06 1.061 1.062 1.063 1.064 1.065 1.066 1.067 1.068 1.069 1.07 1.071 1.072 1.073 1.074 1.075 1.076 1.077 1.078 1.079 1.08 1.081 1.082 1.083 1.084 1.085 1.086 1.087 1.088 1.089 1.09 1.091 1.092 1.093 1.094 1.095 1.096 1.097 1.098 1.099 1.1 1.101 1.102 1.103 1.104 1.105 1.106 1.107 1.108 1.109 1.11 1.111 1.112 1.113 1.114 1.115 1.116 1.117 1.118 1.119 1.12 1.121 1.122 1.123 1.124 1.125 1.1260000000000001 1.127 1.1280000000000001 1.129 1.1300000000000001 1.131 1.1320000000000001 1.133 1.1340000000000001 1.135 1.1360000000000001 1.137 1.1380000000000001 1.139 1.1400000000000001 1.141 1.1420000000000001 1.143 1.1440000000000001 1.145 1.1460000000000001 1.147 1.1480000000000001 1.149 1.1500000000000001 1.151 1.1520000000000001 1.153 1.154 1.155 1.156 1.157 1.158 1.159 1.16 1.161 1.162 1.163 1.164 1.165 1.166 1.167 1.168 1.169 1.17 1.171 1.172 1.173 1.174 1.175 1.176 1.177 1.178 1.179 1.18 1.181 1.182 1.183 1.184 1.185 1.186 1.187 1.188 1.189 1.19 1.191 1.192 1.193 1.194 1.195 1.196 1.197 1.198 1.199 1.2 1.201 1.202 1.203 1.204 1.205 1.206 1.207 1.208 1.209 1.21 1.211 1.212 1.213 1.214 1.215 1.216 1.217 1.218 1.219 1.22 1.221 1.222 1.223 1.224 1.225 1.226 1.227 1.228 1.229 1.23 1.231 1.232 1.233 1.234 1.235 1.236 1.237 1.238 1.239 1.24 1.241 1.242 1.243 1.244 1.245 1.246 1.247 1.248 1.249 1.25 1.2510000000000001 1.252 1.2530000000000001 1.254 1.2550000000000001 1.256 1.2570000000000001 1.258 1.2590000000000001 1.26 1.2610000000000001 1.262 1.2630000000000001 1.264 1.2650000000000001 1.266 1.2670000000000001 1.268 1.2690000000000001 1.27 1.2710000000000001 1.272 1.2730000000000001 1.274 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1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001 1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655 1.6560000000000001 1.657 1.6580000000000001 1.659 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1.7850000000000001 1.786 1.7870000000000001 1.788 1.7890000000000001 1.79 1.7910000000000001 1.792 1.793 1.794 1.795 1.796 1.797 1.798 1.799 1.8 1.801 1.802 1.803 1.804 1.805 1.806 1.807 1.808 1.809 1.81 1.811 1.812 1.813 1.814 1.815 1.816 1.817 1.818 1.819 1.82 1.821 1.822 1.823 1.824 1.825 1.826 1.827 1.828 1.829 1.83 1.831 1.832 1.833 1.834 1.835 1.836 1.837 1.838 1.839 1.84 1.841 1.842 1.843 1.844 1.845 1.846 1.847 1.848 1.849 1.85 1.851 1.852 1.853 1.854 1.855 1.856 1.857 1.858 1.859 1.86 1.861 1.862 1.863 1.864 1.865 1.866 1.867 1.868 1.869 1.87 1.871 1.872 1.873 1.874 1.875 1.8760000000000001 1.877 1.8780000000000001 1.879 1.8800000000000001 1.881 1.8820000000000001 1.883 1.8840000000000001 1.885 1.8860000000000001 1.887 1.8880000000000001 1.889 1.8900000000000001 1.891 1.8920000000000001 1.893 1.8940000000000001 1.895 1.8960000000000001 1.897 1.8980000000000001 1.899 1.9000000000000001 1.901 1.9020000000000001 1.903 1.9040000000000001 1.905 1.9060000000000001 1.907 1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999CPU times: user 585 ms, sys: 13.2 ms, total: 598 ms

Wall time: 585 ms </pre>

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Wall time: 585 ms end{sphinxVerbatim}

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1.2750000000000001 1.276 1.2770000000000001 1.278 1.2790000000000001 1.28 1.281 1.282 1.283 1.284 1.285 1.286 1.287 1.288 1.289 1.29 1.291 1.292 1.293 1.294 1.295 1.296 1.297 1.298 1.299 1.3 1.301 1.302 1.303 1.304 1.305 1.306 1.307 1.308 1.309 1.31 1.311 1.312 1.313 1.314 1.315 1.316 1.317 1.318 1.319 1.32 1.321 1.322 1.323 1.324 1.325 1.326 1.327 1.328 1.329 1.33 1.331 1.332 1.333 1.334 1.335 1.336 1.337 1.338 1.339 1.34 1.341 1.342 1.343 1.344 1.345 1.346 1.347 1.348 1.349 1.35 1.351 1.352 1.353 1.354 1.355 1.356 1.357 1.358 1.359 1.36 1.361 1.362 1.363 1.364 1.365 1.366 1.367 1.368 1.369 1.37 1.371 1.372 1.373 1.374 1.375 1.3760000000000001 1.377 1.3780000000000001 1.379 1.3800000000000001 1.381 1.3820000000000001 1.383 1.3840000000000001 1.385 1.3860000000000001 1.387 1.3880000000000001 1.389 1.3900000000000001 1.391 1.3920000000000001 1.393 1.3940000000000001 1.395 1.3960000000000001 1.397 1.3980000000000001 1.399 1.4000000000000001 1.401 1.4020000000000001 1.403 1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001 1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655 1.6560000000000001 1.657 1.6580000000000001 1.659 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1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999CPU times: user 585 ms, sys: 13.2 ms, total: 598 ms

Wall time: 585 ms

[15]:
Draw(gfut, mesh, interpolate_multidim=True, animate=True)
[15]:
BaseWebGuiScene

Supplementary material:

The simple time stepping can be extended in several directions:

  1. Instead of direct one could use iterative solvers

  2. R.h.s. data time-dependent

  3. boundary data time-dependent

  4. 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 iteration 1, residual = 0.0035057339716348147

CG iteration 2, residual = 0.0002834627490531965 CG iteration 3, residual = 0.00024263039834510451 CG iteration 4, residual = 0.00024456972709674564 CG iteration 5, residual = 0.00015448504295567455 CG iteration 6, residual = 7.821151803176524e-05 CG iteration 7, residual = 5.073203767271228e-05 CG iteration 8, residual = 4.7425017756223996e-05 CG iteration 9, residual = 3.410628962677873e-05 CG iteration 10, residual = 2.5969155301851343e-05 CG iteration 11, residual = 3.355628610785994e-05 CG iteration 12, residual = 4.0465654275392375e-05 CG iteration 13, residual = 3.696882793422592e-05 CG iteration 14, residual = 3.7084750141514266e-05 CG iteration 15, residual = 3.299103712798381e-05 CG iteration 16, residual = 2.3322264029912498e-05 CG iteration 17, residual = 1.4942487703727611e-05 CG iteration 18, residual = 1.1201775298738749e-05 CG iteration 19, residual = 1.0280543927546932e-05 CG iteration 20, residual = 8.309341542074007e-06 CG iteration 21, residual = 6.491721486633316e-06 CG iteration 22, residual = 6.390133425069827e-06 CG iteration 23, residual = 5.736028117624518e-06 CG iteration 24, residual = 5.6842926631273295e-06 CG iteration 25, residual = 6.174968765275747e-06 CG iteration 26, residual = 6.593997695038199e-06 CG iteration 27, residual = 6.086805914560082e-06 CG iteration 28, residual = 4.729474748314116e-06 CG iteration 29, residual = 3.6344671905966728e-06 CG iteration 30, residual = 2.5143094857132473e-06 CG iteration 31, residual = 1.9448641889355736e-06 CG iteration 32, residual = 1.505663381611971e-06 CG iteration 33, residual = 1.1315533131770621e-06 CG iteration 34, residual = 7.68563152419886e-07 CG iteration 35, residual = 5.787283688098449e-07 CG iteration 36, residual = 5.041127194998003e-07 CG iteration 37, residual = 4.6744762830305875e-07 CG iteration 38, residual = 4.871900222792222e-07 CG iteration 39, residual = 5.024991254256286e-07 CG iteration 40, residual = 5.153626930220074e-07 CG iteration 41, residual = 4.6952520772485864e-07 CG iteration 42, residual = 4.4154630934355745e-07 CG iteration 43, residual = 4.065913286016486e-07 CG iteration 44, residual = 3.110147788098351e-07 CG iteration 45, residual = 2.2593010929629386e-07 CG iteration 46, residual = 1.7775726985654165e-07 CG iteration 47, residual = 1.340632778972497e-07 CG iteration 48, residual = 9.772218534414981e-08 CG iteration 49, residual = 7.634811158237477e-08 CG iteration 50, residual = 6.629684641042421e-08 CG iteration 51, residual = 5.31516774247558e-08 CG iteration 52, residual = 5.351859704489737e-08 CG iteration 53, residual = 5.78846889823926e-08 CG iteration 54, residual = 6.228731685395157e-08 CG iteration 55, residual = 5.854713580053559e-08 CG iteration 56, residual = 5.3252264282158094e-08 CG iteration 57, residual = 4.684499780480687e-08 CG iteration 58, residual = 4.074919511653098e-08 CG iteration 59, residual = 3.212046732238423e-08 CG iteration 60, residual = 2.317841897396856e-08 CG iteration 61, residual = 1.6437060632261116e-08 CG iteration 62, residual = 1.2375984051506147e-08 CG iteration 63, residual = 9.015574752213276e-09 CG iteration 64, residual = 7.380815803862294e-09 CG iteration 65, residual = 6.251477938074552e-09 CG iteration 66, residual = 5.309531724516055e-09 CG iteration 67, residual = 4.7436952116937925e-09 CG iteration 68, residual = 4.670876285494703e-09 CG iteration 69, residual = 4.7987050223391125e-09 CG iteration 70, residual = 5.165189530651792e-09 CG iteration 71, residual = 4.9712230444805764e-09 CG iteration 72, residual = 4.454588903460429e-09 CG iteration 73, residual = 3.7017977456199185e-09 CG iteration 74, residual = 2.865240327828223e-09 CG iteration 75, residual = 2.1508780843757938e-09 CG iteration 76, residual = 1.6695609487286063e-09 CG iteration 77, residual = 1.206627470450266e-09 CG iteration 78, residual = 9.673964096737804e-10 CG iteration 79, residual = 7.463274729751711e-10 CG iteration 80, residual = 5.896934199688659e-10 CG iteration 81, residual = 4.80589135305542e-10 CG iteration 82, residual = 4.03568302666251e-10 CG iteration 83, residual = 3.652524528876453e-10 CG iteration 84, residual = 3.820052461822441e-10 CG iteration 85, residual = 3.73820775086239e-10 CG iteration 86, residual = 4.000182811495793e-10 CG iteration 87, residual = 3.9080442890683617e-10 CG iteration 88, residual = 3.7378376642690186e-10 CG iteration 89, residual = 3.3454993094736147e-10 CG iteration 90, residual = 2.7407845430884504e-10 CG iteration 91, residual = 2.151093774094584e-10 CG iteration 92, residual = 1.579989973810733e-10 CG iteration 93, residual = 1.1686987174084624e-10 CG iteration 94, residual = 8.910126190410332e-11 CG iteration 95, residual = 7.265188500596543e-11 CG iteration 96, residual = 5.981033026734256e-11 CG iteration 97, residual = 4.8073612942247536e-11 CG iteration 98, residual = 4.45559726268082e-11 CG iteration 99, residual = 4.092678042581251e-11 CG iteration 100, residual = 4.08575928988359e-11 CG iteration 101, residual = 4.0375160994562566e-11 CG iteration 102, residual = 4.534300756674283e-11 CG iteration 103, residual = 4.1766430058524355e-11 CG iteration 104, residual = 4.131724716650939e-11 CG iteration 105, residual = 3.537333329123969e-11 CG iteration 106, residual = 3.179997173468708e-11 CG converged in 106 iterations to residual 3.179997173468708e-11

0CG iteration 1, residual = 0.0035053975194496044

CG iteration 2, residual = 0.0002822322160843943 CG iteration 3, residual = 0.000240196509405923 CG iteration 4, residual = 0.00024288531680424476 CG iteration 5, residual = 0.00015419728363136006 CG iteration 6, residual = 7.785448071641783e-05 CG iteration 7, residual = 5.009703418723029e-05 CG iteration 8, residual = 4.675907553452885e-05 CG iteration 9, residual = 3.376347155713625e-05 CG iteration 10, residual = 2.5682225303015667e-05 CG iteration 11, residual = 3.319644640349678e-05 CG iteration 12, residual = 4.018278246306371e-05 CG iteration 13, residual = 3.6748706556582916e-05 CG iteration 14, residual = 3.685830005231227e-05 CG iteration 15, residual = 3.277530180259381e-05 CG iteration 16, residual = 2.3160620041953624e-05 CG iteration 17, residual = 1.4853019360758254e-05 CG iteration 18, residual = 1.1111341746195791e-05 CG iteration 19, residual = 1.0158624312113796e-05 CG iteration 20, residual = 8.233168902326498e-06 CG iteration 21, residual = 6.448599612606545e-06 CG iteration 22, residual = 6.331860453770461e-06 CG iteration 23, residual = 5.674551809190057e-06 CG iteration 24, residual = 5.618014147605852e-06 CG iteration 25, residual = 6.087611447783765e-06 CG iteration 26, residual = 6.498352886585876e-06 CG iteration 27, residual = 6.0189519019273505e-06 CG iteration 28, residual = 4.687559775162932e-06 CG iteration 29, residual = 3.59689564777813e-06 CG iteration 30, residual = 2.4757407524555685e-06 CG iteration 31, residual = 1.910828020548234e-06 CG iteration 32, residual = 1.4858028590521678e-06 CG iteration 33, residual = 1.1194453680966317e-06 CG iteration 34, residual = 7.606435130266568e-07 CG iteration 35, residual = 5.730822931849924e-07 CG iteration 36, residual = 4.995452729704887e-07 CG iteration 37, residual = 4.6283853362264297e-07 CG iteration 38, residual = 4.830218759079232e-07 CG iteration 39, residual = 4.985423617534478e-07 CG iteration 40, residual = 5.121983960778873e-07 CG iteration 41, residual = 4.6507881876837194e-07 CG iteration 42, residual = 4.372303489054457e-07 CG iteration 43, residual = 4.028829881325922e-07 CG iteration 44, residual = 3.08272633064608e-07 CG iteration 45, residual = 2.2413247234696063e-07 CG iteration 46, residual = 1.761603006861517e-07 CG iteration 47, residual = 1.3256309399960684e-07 CG iteration 48, residual = 9.655609598808055e-08 CG iteration 49, residual = 7.549524753339161e-08 CG iteration 50, residual = 6.57460469607192e-08 CG iteration 51, residual = 5.277034190696689e-08 CG iteration 52, residual = 5.300431712124942e-08 CG iteration 53, residual = 5.718328533874679e-08 CG iteration 54, residual = 6.165326122290104e-08 CG iteration 55, residual = 5.79927134045009e-08 CG iteration 56, residual = 5.2762883341080137e-08 CG iteration 57, residual = 4.63399105459643e-08 CG iteration 58, residual = 4.030544966936915e-08 CG iteration 59, residual = 3.1855458853747057e-08 CG iteration 60, residual = 2.306432344523002e-08 CG iteration 61, residual = 1.6372991773015176e-08 CG iteration 62, residual = 1.2297949629458822e-08 CG iteration 63, residual = 8.943333005658524e-09 CG iteration 64, residual = 7.310998189813659e-09 CG iteration 65, residual = 6.183804420828091e-09 CG iteration 66, residual = 5.2619092362298e-09 CG iteration 67, residual = 4.697721886952324e-09 CG iteration 68, residual = 4.632692888397711e-09 CG iteration 69, residual = 4.748092307118702e-09 CG iteration 70, residual = 5.105486083361721e-09 CG iteration 71, residual = 4.927087221722954e-09 CG iteration 72, residual = 4.4281898266880495e-09 CG iteration 73, residual = 3.6763456508203947e-09 CG iteration 74, residual = 2.845680579617973e-09 CG iteration 75, residual = 2.134512812949707e-09 CG iteration 76, residual = 1.660300984872995e-09 CG iteration 77, residual = 1.199739923426847e-09 CG iteration 78, residual = 9.613991353514773e-10 CG iteration 79, residual = 7.424387293357345e-10 CG iteration 80, residual = 5.887187922189456e-10 CG iteration 81, residual = 4.7961188315689e-10 CG iteration 82, residual = 4.0116287515484343e-10 CG iteration 83, residual = 3.643802768765076e-10 CG iteration 84, residual = 3.811385655128112e-10 CG iteration 85, residual = 3.728167628890719e-10 CG iteration 86, residual = 4.001422635783293e-10 CG iteration 87, residual = 3.906085480684764e-10 CG iteration 88, residual = 3.725268937632893e-10 CG iteration 89, residual = 3.327341864743003e-10 CG iteration 90, residual = 2.7377242409284795e-10 CG iteration 91, residual = 2.1413103289918502e-10 CG iteration 92, residual = 1.575920047824593e-10 CG iteration 93, residual = 1.1655970865090408e-10 CG iteration 94, residual = 8.854868494493672e-11 CG iteration 95, residual = 7.236597296042923e-11 CG iteration 96, residual = 5.96866825737044e-11 CG iteration 97, residual = 4.8017594743288207e-11 CG iteration 98, residual = 4.446824411016334e-11 CG iteration 99, residual = 4.1025144701103625e-11 CG iteration 100, residual = 4.080781651597987e-11 CG iteration 101, residual = 4.0304077397374116e-11 CG iteration 102, residual = 4.52915872359784e-11 CG iteration 103, residual = 4.171076692570568e-11 CG iteration 104, residual = 4.1386287436880715e-11 CG iteration 105, residual = 3.524081428542747e-11 CG iteration 106, residual = 3.172974283068946e-11 CG converged in 106 iterations to residual 3.172974283068946e-11

0.001CG iteration 1, residual = 0.003505069429221998

CG iteration 2, residual = 0.00028106054221934773 CG iteration 3, residual = 0.00023789567798713961 CG iteration 4, residual = 0.0002412799007959158 CG iteration 5, residual = 0.0001539333045769327 CG iteration 6, residual = 7.751747251745792e-05 CG iteration 7, residual = 4.94874868880815e-05 CG iteration 8, residual = 4.6118245892993204e-05 CG iteration 9, residual = 3.343954392797848e-05 CG iteration 10, residual = 2.541792828941187e-05 CG iteration 11, residual = 3.2869048314071195e-05 CG iteration 12, residual = 3.993363570291145e-05 CG iteration 13, residual = 3.655520278059141e-05 CG iteration 14, residual = 3.664980391062579e-05 CG iteration 15, residual = 3.256968913299164e-05 CG iteration 16, residual = 2.3005413787996554e-05 CG iteration 17, residual = 1.4767004121205355e-05 CG iteration 18, residual = 1.1025127125762825e-05 CG iteration 19, residual = 1.0041500181813037e-05 CG iteration 20, residual = 8.158900225084393e-06 CG iteration 21, residual = 6.405900189866536e-06 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0.002CG iteration 1, residual = 0.0035047489040554193

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0.003CG iteration 1, residual = 0.0035044352096447137

CG iteration 2, residual = 0.00027887861982526797 CG iteration 3, residual = 0.00023366012814947729 CG iteration 4, residual = 0.00023829252047818738 CG iteration 5, residual = 0.00015346990406351553 CG iteration 6, residual = 7.689721470862992e-05 CG iteration 7, residual = 4.833765704863179e-05 CG iteration 8, residual = 4.49056914944228e-05 CG iteration 9, residual = 3.2843267357853545e-05 CG iteration 10, residual = 2.49505225981182e-05 CG iteration 11, residual = 3.230194260929783e-05 CG iteration 12, residual = 3.952665954288422e-05 CG iteration 13, residual = 3.623894648915114e-05 CG iteration 14, residual = 3.627894111046302e-05 CG iteration 15, residual = 3.218355472843034e-05 CG iteration 16, residual = 2.271090620533988e-05 CG iteration 17, residual = 1.4603203904905763e-05 CG iteration 18, residual = 1.0863516505100013e-05 CG iteration 19, residual = 9.820220872502563e-06 CG iteration 20, residual = 8.01550309737791e-06 CG iteration 21, residual = 6.321370620534526e-06 CG 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0.004CG iteration 1, residual = 0.0035041276695032863

CG iteration 2, residual = 0.00027786146015016083 CG iteration 3, residual = 0.00023171028976420334 CG iteration 4, residual = 0.00023690402893825787 CG iteration 5, residual = 0.00015326739765366546 CG iteration 6, residual = 7.661111530151657e-05 CG iteration 7, residual = 4.7794162674647445e-05 CG iteration 8, residual = 4.433110109831922e-05 CG iteration 9, residual = 3.2568601551521497e-05 CG iteration 10, residual = 2.4744379099087373e-05 CG iteration 11, residual = 3.20578095012576e-05 CG iteration 12, residual = 3.9364241070174535e-05 CG iteration 13, residual = 3.611198722657991e-05 CG iteration 14, residual = 3.6113023598348994e-05 CG iteration 15, residual = 3.200066798666322e-05 CG iteration 16, residual = 2.2570118325755856e-05 CG iteration 17, residual = 1.4524518054691725e-05 CG iteration 18, residual = 1.0787343727302606e-05 CG iteration 19, residual = 9.715460630611676e-06 CG iteration 20, residual = 7.946161589481538e-06 CG iteration 21, residual = 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iteration 81, residual = 4.762511349816934e-10 CG iteration 82, residual = 3.93137680143792e-10 CG iteration 83, residual = 3.618508333871003e-10 CG iteration 84, residual = 3.773058677435892e-10 CG iteration 85, residual = 3.7017814009808924e-10 CG iteration 86, residual = 4.015301333555892e-10 CG iteration 87, residual = 3.9050828718514554e-10 CG iteration 88, residual = 3.6854112960738334e-10 CG iteration 89, residual = 3.261735575020012e-10 CG iteration 90, residual = 2.725593055340416e-10 CG iteration 91, residual = 2.1033852186830153e-10 CG iteration 92, residual = 1.5641702839133362e-10 CG iteration 93, residual = 1.1561875854874115e-10 CG iteration 94, residual = 8.668268614938788e-11 CG iteration 95, residual = 7.141468783452711e-11 CG iteration 96, residual = 5.929357399458352e-11 CG iteration 97, residual = 4.792036413811318e-11 CG iteration 98, residual = 4.420317078011177e-11 CG iteration 99, residual = 4.149978020371205e-11 CG iteration 100, residual = 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0.005CG iteration 1, residual = 0.0035038256605811795

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</pre>

CG iteration 2, residual = 0.0002834627490531965 CG iteration 3, residual = 0.00024263039834510451 CG iteration 4, residual = 0.00024456972709674564 CG iteration 5, residual = 0.00015448504295567455 CG iteration 6, residual = 7.821151803176524e-05 CG iteration 7, residual = 5.073203767271228e-05 CG iteration 8, residual = 4.7425017756223996e-05 CG iteration 9, residual = 3.410628962677873e-05 CG iteration 10, residual = 2.5969155301851343e-05 CG iteration 11, residual = 3.355628610785994e-05 CG iteration 12, residual = 4.0465654275392375e-05 CG iteration 13, residual = 3.696882793422592e-05 CG iteration 14, residual = 3.7084750141514266e-05 CG iteration 15, residual = 3.299103712798381e-05 CG iteration 16, residual = 2.3322264029912498e-05 CG iteration 17, residual = 1.4942487703727611e-05 CG iteration 18, residual = 1.1201775298738749e-05 CG iteration 19, residual = 1.0280543927546932e-05 CG iteration 20, residual = 8.309341542074007e-06 CG iteration 21, residual = 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0CG iteration 1, residual = 0.0035053975194496044

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0.001CG iteration 1, residual = 0.003505069429221998

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iteration 101, residual = 4.026162305803593e-11 CG iteration 102, residual = 4.5243956608192545e-11 CG iteration 103, residual = 4.167562766190987e-11 CG iteration 104, residual = 4.146272352617181e-11 CG iteration 105, residual = 3.512639590949981e-11 CG iteration 106, residual = 3.1666528830867264e-11 CG converged in 106 iterations to residual 3.1666528830867264e-11

0.002CG iteration 1, residual = 0.0035047489040554193

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0.003CG iteration 1, residual = 0.0035044352096447137

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0.004CG iteration 1, residual = 0.0035041276695032863

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0.005CG iteration 1, residual = 0.0035038256605811795

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end{sphinxVerbatim}

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0CG iteration 1, residual = 0.0035053975194496044

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0.001CG iteration 1, residual = 0.003505069429221998

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iteration 101, residual = 4.026162305803593e-11 CG iteration 102, residual = 4.5243956608192545e-11 CG iteration 103, residual = 4.167562766190987e-11 CG iteration 104, residual = 4.146272352617181e-11 CG iteration 105, residual = 3.512639590949981e-11 CG iteration 106, residual = 3.1666528830867264e-11 CG converged in 106 iterations to residual 3.1666528830867264e-11

0.002CG iteration 1, residual = 0.0035047489040554193

CG iteration 2, residual = 0.00027994387104024086 CG iteration 3, residual = 0.00023571949420094678 CG iteration 4, residual = 0.0002397500730371937 CG iteration 5, residual = 0.0001536913783477332 CG iteration 6, residual = 7.719887886654385e-05 CG iteration 7, residual = 4.890158486370472e-05 CG iteration 8, residual = 4.550094502677626e-05 CG iteration 9, residual = 3.313321000910539e-05 CG iteration 10, residual = 2.5174553657510466e-05 CG iteration 11, residual = 3.257164338581296e-05 CG iteration 12, residual = 3.9715715260836773e-05 CG iteration 13, residual = 3.6386006468403036e-05 CG iteration 14, residual = 3.6457297015747345e-05 CG iteration 15, residual = 3.237285226723261e-05 CG iteration 16, residual = 2.2855771059550234e-05 CG iteration 17, residual = 1.4683892926465781e-05 CG iteration 18, residual = 1.0942657121431599e-05 CG iteration 19, residual = 9.928806355657007e-06 CG iteration 20, residual = 8.086384871252998e-06 CG iteration 21, residual = 6.363514901070838e-06 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iteration 81, residual = 4.77918589822197e-10 CG iteration 82, residual = 3.96920822472242e-10 CG iteration 83, residual = 3.630330940763259e-10 CG iteration 84, residual = 3.7940217404806196e-10 CG iteration 85, residual = 3.7135001672806894e-10 CG iteration 86, residual = 4.0081633921128235e-10 CG iteration 87, residual = 3.9054026768308116e-10 CG iteration 88, residual = 3.7041838653279984e-10 CG iteration 89, residual = 3.2938461144297684e-10 CG iteration 90, residual = 2.7321539455207495e-10 CG iteration 91, residual = 2.1223990872938406e-10 CG iteration 92, residual = 1.5693877821738902e-10 CG iteration 93, residual = 1.160489772809092e-10 CG iteration 94, residual = 8.756060390812702e-11 CG iteration 95, residual = 7.186360108008316e-11 CG iteration 96, residual = 5.948332733783813e-11 CG iteration 97, residual = 4.795660359840926e-11 CG iteration 98, residual = 4.433146559945352e-11 CG iteration 99, residual = 4.126320117482507e-11 CG iteration 100, residual = 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0.003CG iteration 1, residual = 0.0035044352096447137

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0.004CG iteration 1, residual = 0.0035041276695032863

CG iteration 2, residual = 0.00027786146015016083 CG iteration 3, residual = 0.00023171028976420334 CG iteration 4, residual = 0.00023690402893825787 CG iteration 5, residual = 0.00015326739765366546 CG iteration 6, residual = 7.661111530151657e-05 CG iteration 7, residual = 4.7794162674647445e-05 CG iteration 8, residual = 4.433110109831922e-05 CG iteration 9, residual = 3.2568601551521497e-05 CG iteration 10, residual = 2.4744379099087373e-05 CG iteration 11, residual = 3.20578095012576e-05 CG iteration 12, residual = 3.9364241070174535e-05 CG iteration 13, residual = 3.611198722657991e-05 CG iteration 14, residual = 3.6113023598348994e-05 CG iteration 15, residual = 3.200066798666322e-05 CG iteration 16, residual = 2.2570118325755856e-05 CG iteration 17, residual = 1.4524518054691725e-05 CG iteration 18, residual = 1.0787343727302606e-05 CG iteration 19, residual = 9.715460630611676e-06 CG iteration 20, residual = 7.946161589481538e-06 CG iteration 21, residual = 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0.005CG iteration 1, residual = 0.0035038256605811795

CG iteration 2, residual = 0.0002768892998197786 CG iteration 3, residual = 0.00022986319121994173 CG iteration 4, residual = 0.0002355814876072362 CG iteration 5, residual = 0.00015308248299314908 CG iteration 6, residual = 7.633932751778355e-05 CG iteration 7, residual = 4.7269682187091584e-05 CG iteration 8, residual = 4.3775881807378724e-05 CG iteration 9, residual = 3.230818025056714e-05 CG iteration 10, residual = 2.4554781425669125e-05 CG iteration 11, residual = 3.183725290314136e-05 CG iteration 12, residual = 3.922636289183665e-05 CG iteration 13, residual = 3.600322461289103e-05 CG iteration 14, residual = 3.5957955760737055e-05 CG iteration 15, residual = 3.1823168130994624e-05 CG iteration 16, residual = 2.243278683484235e-05 CG iteration 17, residual = 1.4447474667503015e-05 CG iteration 18, residual = 1.071382563537109e-05 CG iteration 19, residual = 9.614277110470246e-06 CG iteration 20, residual = 7.878289233550735e-06 CG iteration 21, residual = 6.237654646227429e-06 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iteration 101, residual = 4.020444822397888e-11 CG iteration 102, residual = 4.491890083548554e-11

CG iteration 103, residual = 4.158775606693585e-11

CG iteration 104, residual = 4.16990352423163e-11 CG iteration 105, residual = 3.476771620809102e-11 CG converged in 105 iterations to residual 3.476771620809102e-11

0.006CG iteration 1, residual = 0.0035035286092153983

CG iteration 2, residual = 0.0002759592659158552 CG iteration 3, residual = 0.00022811251166428826 CG iteration 4, residual = 0.00023432189229639745 CG iteration 5, residual = 0.00015291388367031714 CG iteration 6, residual = 7.608070162937595e-05 CG iteration 7, residual = 4.676290863563044e-05 CG iteration 8, residual = 4.3238828738860816e-05 CG iteration 9, residual = 3.2061047572677145e-05 CG iteration 10, residual = 2.4380494082994025e-05 CG iteration 11, residual = 3.1638419683314215e-05 CG iteration 12, residual = 3.911105449774653e-05 CG iteration 13, residual = 3.591088177022004e-05 CG iteration 14, residual = 3.581227011835114e-05 CG iteration 15, residual = 3.1650131825174315e-05 CG iteration 16, residual = 2.2298366569356726e-05 CG iteration 17, residual = 1.4371766605575064e-05 CG iteration 18, residual = 1.0642692400951325e-05 CG iteration 19, residual = 9.516452282229669e-06 CG iteration 20, residual = 7.811833195399216e-06 CG iteration 21, residual = 6.196063315645717e-06 CG iteration 22, residual = 5.993990376103824e-06 CG iteration 23, residual = 5.330322701594737e-06 CG iteration 24, residual = 5.252675137312832e-06 CG iteration 25, residual = 5.61070648885272e-06 CG iteration 26, residual = 5.9775232134393985e-06 CG iteration 27, residual = 5.638842675863878e-06 CG iteration 28, residual = 4.4508610238964495e-06 CG iteration 29, residual = 3.3964743955239902e-06 CG iteration 30, residual = 2.274467631116681e-06 CG iteration 31, residual = 1.7269169414786294e-06 CG iteration 32, residual = 1.373364630837313e-06 CG iteration 33, residual = 1.0515165296803114e-06 CG iteration 34, residual = 7.189050515935929e-07 CG iteration 35, residual = 5.438716233758866e-07 CG iteration 36, residual = 4.756604378214835e-07 CG iteration 37, residual = 4.3847991528172406e-07 CG iteration 38, residual = 4.6058241642949027e-07 CG iteration 39, residual = 4.767627997232533e-07 CG iteration 40, residual = 4.95262044715101e-07 CG iteration 41, residual = 4.42395853612247e-07 CG iteration 42, residual = 4.1467364439422626e-07 CG iteration 43, residual = 3.8258359584324623e-07 CG iteration 44, residual = 2.933760798654151e-07 CG iteration 45, residual = 2.1466124723103842e-07 CG iteration 46, residual = 1.6757742857147824e-07 CG iteration 47, residual = 1.2437485561369194e-07 CG iteration 48, residual = 9.030646202962386e-08 CG iteration 49, residual = 7.082442706051283e-08 CG iteration 50, residual = 6.265400596378523e-08 CG iteration 51, residual = 5.0894231982704554e-08 CG iteration 52, residual = 5.0499744235947116e-08 CG iteration 53, residual = 5.351969270638638e-08 CG iteration 54, residual = 5.820349772337298e-08 CG iteration 55, residual = 5.5117967756895774e-08 CG iteration 56, residual = 5.028256529294944e-08 CG iteration 57, residual = 4.367408240272757e-08 CG iteration 58, residual = 3.795977464173624e-08 CG iteration 59, residual = 3.044605495724445e-08 CG iteration 60, residual = 2.2424635176091383e-08 CG iteration 61, residual = 1.6038220155098253e-08 CG iteration 62, residual = 1.1893965771682426e-08 CG iteration 63, residual = 8.56279852037611e-09 CG iteration 64, residual = 6.935508892583012e-09 CG iteration 65, residual = 5.817894552963938e-09 CG iteration 66, residual = 5.010407142859323e-09 CG iteration 67, residual = 4.4650511762360824e-09 CG iteration 68, residual = 4.444278225099155e-09 CG iteration 69, residual = 4.5002826999199245e-09 CG iteration 70, residual = 4.810664449390959e-09 CG iteration 71, residual = 4.697745190745741e-09 CG iteration 72, residual = 4.283613575719898e-09 CG iteration 73, residual = 3.5448037819647495e-09 CG iteration 74, residual = 2.7527303185519133e-09 CG iteration 75, residual = 2.050976891615919e-09 CG iteration 76, residual = 1.6087954298603223e-09 CG iteration 77, residual = 1.1663589716767435e-09 CG iteration 78, residual = 9.298576244709202e-10 CG iteration 79, residual = 7.207435056123458e-10 CG iteration 80, residual = 5.832099143743078e-10 CG iteration 81, residual = 4.743507806195524e-10 CG iteration 82, residual = 3.895710819914277e-10 CG iteration 83, residual = 3.605376349771006e-10 CG iteration 84, residual = 3.7461862047532905e-10 CG iteration 85, residual = 3.689743252280977e-10 CG iteration 86, residual = 4.018528148128414e-10 CG iteration 87, residual = 3.902287771787478e-10 CG iteration 88, residual = 3.6667080429631193e-10 CG iteration 89, residual = 3.229327307581091e-10 CG iteration 90, residual = 2.716769573189225e-10 CG iteration 91, residual = 2.0836524130977212e-10 CG iteration 92, residual = 1.5596144423770754e-10 CG iteration 93, residual = 1.1521374987253797e-10

</pre>

CG iteration 104, residual = 4.16990352423163e-11 CG iteration 105, residual = 3.476771620809102e-11 CG converged in 105 iterations to residual 3.476771620809102e-11

0.006CG iteration 1, residual = 0.0035035286092153983

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end{sphinxVerbatim}

CG iteration 104, residual = 4.16990352423163e-11 CG iteration 105, residual = 3.476771620809102e-11 CG converged in 105 iterations to residual 3.476771620809102e-11

0.006CG iteration 1, residual = 0.0035035286092153983

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CG iteration 94, residual = 8.588197755183394e-11

CG iteration 95, residual = 7.099232289246309e-11 CG iteration 96, residual = 5.908291014586183e-11 CG iteration 97, residual = 4.787721809887845e-11 CG iteration 98, residual = 4.405362718263661e-11 CG iteration 99, residual = 4.1691711312690595e-11 CG iteration 100, residual = 4.058586580834294e-11 CG iteration 101, residual = 4.01922449446999e-11 CG iteration 102, residual = 4.47814089101807e-11 CG iteration 103, residual = 4.1557756436049456e-11 CG iteration 104, residual = 4.1718802268427074e-11 CG iteration 105, residual = 3.4691128105411784e-11 CG converged in 105 iterations to residual 3.4691128105411784e-11

0.007CG iteration 1, residual = 0.0035032359873999218

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0.008CG iteration 1, residual = 0.0035029473093459783

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0.009000000000000001CG iteration 1, residual = 0.003502662128308906

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0.01CG iteration 1, residual = 0.003502380033659947

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0.011CG iteration 1, residual = 0.0035021006481831423

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0.012CG iteration 1, residual = 0.003501823625579205

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0.013000000000000001CG iteration 1, residual = 0.003501548648159748

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iteration 81, residual = 4.645409712829188e-10 CG iteration 82, residual = 3.773100750381153e-10 CG iteration 83, residual = 3.5312958822183303e-10 CG iteration 84, residual = 3.6049859742515556e-10 CG iteration 85, residual = 3.6290295862509457e-10 CG iteration 86, residual = 3.973511480132965e-10 CG iteration 87, residual = 3.862755465509669e-10 CG iteration 88, residual = 3.591994923527484e-10 CG iteration 89, residual = 3.107611978194337e-10 CG iteration 90, residual = 2.6625509601791987e-10 CG iteration 91, residual = 2.0084731183035902e-10 CG iteration 92, residual = 1.5446398453711415e-10 CG iteration 93, residual = 1.1358615492334435e-10 CG iteration 94, residual = 8.353666894921782e-11 CG iteration 95, residual = 6.960166373733907e-11 CG iteration 96, residual = 5.7999624026959105e-11 CG iteration 97, residual = 4.753161050250706e-11 CG iteration 98, residual = 4.3241855465365475e-11 CG iteration 99, residual = 4.177386483077848e-11 CG iteration 100, residual = 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0.014CG iteration 1, residual = 0.0035012754247166528

CG iteration 2, residual = 0.00026975157258901606 CG iteration 3, residual = 0.0002169495678562328 CG iteration 4, residual = 0.0002261867183080457 CG iteration 5, residual = 0.0001520266989698739 CG iteration 6, residual = 7.437597509908908e-05 CG iteration 7, residual = 4.322047801850365e-05 CG iteration 8, residual = 3.947680885419888e-05 CG iteration 9, residual = 3.0468967444215667e-05 CG iteration 10, residual = 2.3418575959258167e-05 CG iteration 11, residual = 3.064725999007974e-05 CG iteration 12, residual = 3.880259822309396e-05 CG iteration 13, residual = 3.5588082373962224e-05 CG iteration 14, residual = 3.4845256397659454e-05 CG iteration 15, residual = 3.0344898533038263e-05 CG iteration 16, residual = 2.1283069968562773e-05 CG iteration 17, residual = 1.379131542907579e-05

</pre>

CG iteration 95, residual = 7.099232289246309e-11 CG iteration 96, residual = 5.908291014586183e-11 CG iteration 97, residual = 4.787721809887845e-11 CG iteration 98, residual = 4.405362718263661e-11 CG iteration 99, residual = 4.1691711312690595e-11 CG iteration 100, residual = 4.058586580834294e-11 CG iteration 101, residual = 4.01922449446999e-11 CG iteration 102, residual = 4.47814089101807e-11 CG iteration 103, residual = 4.1557756436049456e-11 CG iteration 104, residual = 4.1718802268427074e-11 CG iteration 105, residual = 3.4691128105411784e-11 CG converged in 105 iterations to residual 3.4691128105411784e-11

0.007CG iteration 1, residual = 0.0035032359873999218

CG iteration 2, residual = 0.0002750686889839861 CG iteration 3, residual = 0.00022645236424686792 CG iteration 4, residual = 0.00023312234756122418 CG iteration 5, residual = 0.00015276041542403374 CG iteration 6, residual = 7.58341835750697e-05 CG iteration 7, residual = 4.627263953922736e-05 CG iteration 8, residual = 4.2718819246877436e-05 CG iteration 9, residual = 3.182631877961638e-05 CG iteration 10, residual = 2.4220380243662486e-05 CG iteration 11, residual = 3.14595874060773e-05 CG iteration 12, residual = 3.901646734101507e-05 CG iteration 13, residual = 3.583330431608987e-05 CG iteration 14, residual = 3.567461702883674e-05 CG iteration 15, residual = 3.148073165334667e-05 CG iteration 16, residual = 2.2166382579100016e-05 CG iteration 17, residual = 1.4297135535467055e-05 CG iteration 18, residual = 1.0573712703047232e-05 CG iteration 19, residual = 9.421794754359285e-06 CG iteration 20, residual = 7.746755350505863e-06 CG iteration 21, residual = 6.154664551594531e-06 CG 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0.008CG iteration 1, residual = 0.0035029473093459783

CG iteration 2, residual = 0.00027421508828574895 CG iteration 3, residual = 0.0002248772653238142 CG iteration 4, residual = 0.00023198006782189888 CG iteration 5, residual = 0.00015262097917500205 CG iteration 6, residual = 7.559880769776822e-05 CG iteration 7, residual = 4.5797769220984376e-05 CG iteration 8, residual = 4.221480814326149e-05 CG iteration 9, residual = 3.16031752680329e-05 CG iteration 10, residual = 2.4073394628486208e-05 CG iteration 11, residual = 3.129915705600602e-05 CG iteration 12, residual = 3.894087005586668e-05 CG iteration 13, residual = 3.5768955400890746e-05 CG iteration 14, residual = 3.554376064098869e-05 CG iteration 15, residual = 3.131423099735442e-05 CG iteration 16, residual = 2.2036424734971373e-05 CG iteration 17, residual = 1.4223367207566257e-05 CG iteration 18, residual = 1.0506689208018065e-05 CG iteration 19, residual = 9.330136209376993e-06 CG iteration 20, residual = 7.683029090267576e-06 CG iteration 21, residual = 6.113484379101787e-06 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iteration 101, residual = 4.015183055311352e-11 CG iteration 102, residual = 4.442945542946559e-11 CG iteration 103, residual = 4.147595921683343e-11 CG iteration 104, residual = 4.1695949275600026e-11 CG iteration 105, residual = 3.454608343928488e-11 CG converged in 105 iterations to residual 3.454608343928488e-11

0.009000000000000001CG iteration 1, residual = 0.003502662128308906

CG iteration 2, residual = 0.0002733961580586486 CG iteration 3, residual = 0.00022338210572804754 CG iteration 4, residual = 0.00023089237760424321 CG iteration 5, residual = 0.00015249455460110268 CG iteration 6, residual = 7.537368993756873e-05 CG iteration 7, residual = 4.533728160404172e-05 CG iteration 8, residual = 4.1725823073207305e-05 CG iteration 9, residual = 3.139085985595972e-05 CG iteration 10, residual = 2.393857682546425e-05 CG iteration 11, residual = 3.115564588412961e-05 CG iteration 12, residual = 3.8882643454023555e-05 CG iteration 13, residual = 3.571641054249972e-05 CG iteration 14, residual = 3.5418574322292915e-05 CG iteration 15, residual = 3.11499785767884e-05 CG iteration 16, residual = 2.1908142273651232e-05 CG iteration 17, residual = 1.4150286856343285e-05 CG iteration 18, residual = 1.0441454373612276e-05 CG iteration 19, residual = 9.241328153343562e-06 CG iteration 20, residual = 7.620636514060706e-06 CG iteration 21, residual = 6.072556690728821e-06 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iteration 101, residual = 4.012138383792075e-11 CG iteration 102, residual = 4.42162262547217e-11 CG iteration 103, residual = 4.142363082579474e-11 CG iteration 104, residual = 4.165191524769749e-11 CG iteration 105, residual = 3.4476873407271355e-11 CG converged in 105 iterations to residual 3.4476873407271355e-11

0.01CG iteration 1, residual = 0.003502380033659947

CG iteration 2, residual = 0.0002726097547274006 CG iteration 3, residual = 0.00022196212399513062 CG iteration 4, residual = 0.00022985671101846778 CG iteration 5, residual = 0.00015238019421120615 CG iteration 6, residual = 7.51580214644945e-05 CG iteration 7, residual = 4.489024345630351e-05 CG iteration 8, residual = 4.125096006274376e-05 CG iteration 9, residual = 3.1188672355801257e-05 CG iteration 10, residual = 2.3815045030688157e-05 CG iteration 11, residual = 3.102768042903796e-05 CG iteration 12, residual = 3.8840275375384565e-05 CG iteration 13, residual = 3.567435232037147e-05 CG iteration 14, residual = 3.529803567288964e-05 CG iteration 15, residual = 3.098740277435999e-05 CG iteration 16, residual = 2.178123838138312e-05 CG iteration 17, residual = 1.4077754782036818e-05 CG iteration 18, residual = 1.0377866592549592e-05 CG iteration 19, residual = 9.15523899098614e-06 CG iteration 20, residual = 7.559566003024353e-06 CG iteration 21, residual = 6.031920425364622e-06 CG 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iteration 101, residual = 4.0083302726709826e-11 CG iteration 102, residual = 4.3979925392114605e-11 CG iteration 103, residual = 4.136396618022225e-11 CG iteration 104, residual = 4.15859759730723e-11 CG iteration 105, residual = 3.440966273646705e-11 CG converged in 105 iterations to residual 3.440966273646705e-11

0.011CG iteration 1, residual = 0.0035021006481831423

CG iteration 2, residual = 0.0002718538850112676 CG iteration 3, residual = 0.00022061288143513896 CG iteration 4, residual = 0.00022887061058604906 CG iteration 5, residual = 0.00015227701787613745 CG iteration 6, residual = 7.495106273327453e-05 CG iteration 7, residual = 4.445579806910077e-05 CG iteration 8, residual = 4.078937925034008e-05 CG iteration 9, residual = 3.099596542376602e-05 CG iteration 10, residual = 2.370199019382273e-05 CG iteration 11, residual = 3.091398975415892e-05 CG iteration 12, residual = 3.881235546069116e-05 CG iteration 13, residual = 3.564156498739677e-05 CG iteration 14, residual = 3.518122123281789e-05 CG iteration 15, residual = 3.082600585773836e-05 CG iteration 16, residual = 2.1655464902414863e-05 CG iteration 17, residual = 1.4005662160599732e-05 CG iteration 18, residual = 1.0315806681086997e-05 CG iteration 19, residual = 9.071751426288473e-06 CG iteration 20, residual = 7.499810160848459e-06 CG iteration 21, residual = 5.991617208328718e-06 CG 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0.012CG iteration 1, residual = 0.003501823625579205

CG iteration 2, residual = 0.00027112669487369836 CG iteration 3, residual = 0.0002193302389428321 CG iteration 4, residual = 0.0002279317255169991 CG iteration 5, residual = 0.0001521842077793224 CG iteration 6, residual = 7.475213794151359e-05 CG iteration 7, residual = 4.4033159352930974e-05 CG iteration 8, residual = 4.034030081079748e-05 CG iteration 9, residual = 3.081214067504058e-05 CG iteration 10, residual = 2.3598670550077958e-05 CG iteration 11, residual = 3.0813398932172186e-05 CG iteration 12, residual = 3.879756990550251e-05 CG iteration 13, residual = 3.561692905294034e-05 CG iteration 14, residual = 3.5067300981213654e-05 CG iteration 15, residual = 3.066535819580435e-05 CG iteration 16, residual = 2.1530617241070337e-05 CG iteration 17, residual = 1.3933927115873773e-05 CG iteration 18, residual = 1.0255174709565047e-05 CG iteration 19, residual = 8.990760179047885e-06 CG iteration 20, residual = 7.441364098960439e-06 CG iteration 21, residual = 5.9516894169745045e-06 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iteration 101, residual = 3.9983273211595324e-11 CG iteration 102, residual = 4.344553143752583e-11 CG iteration 103, residual = 4.1224767751237936e-11 CG iteration 104, residual = 4.138986422904719e-11 CG iteration 105, residual = 3.428120859428714e-11 CG converged in 105 iterations to residual 3.428120859428714e-11

0.013000000000000001CG iteration 1, residual = 0.003501548648159748

CG iteration 2, residual = 0.0002704264592622838 CG iteration 3, residual = 0.00021811033544112253 CG iteration 4, residual = 0.00022703780953112904 CG iteration 5, residual = 0.00015210100375310912 CG iteration 6, residual = 7.456062987193971e-05 CG iteration 7, residual = 4.362160633201494e-05 CG iteration 8, residual = 3.9903001076014705e-05 CG iteration 9, residual = 3.063664505348078e-05 CG iteration 10, residual = 2.350440652013465e-05 CG iteration 11, residual = 3.072482279871859e-05 CG iteration 12, residual = 3.8794696246496974e-05 CG iteration 13, residual = 3.559941588503412e-05 CG iteration 14, residual = 3.495553271665735e-05 CG iteration 15, residual = 3.05050925532204e-05 CG iteration 16, residual = 2.140652951072415e-05 CG iteration 17, residual = 1.3862491076386607e-05 CG iteration 18, residual = 1.0195887165127287e-05 CG iteration 19, residual = 8.912170001007604e-06 CG iteration 20, residual = 7.384224038094785e-06 CG iteration 21, residual = 5.912178631573665e-06 CG 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0.014CG iteration 1, residual = 0.0035012754247166528

CG iteration 2, residual = 0.00026975157258901606 CG iteration 3, residual = 0.0002169495678562328 CG iteration 4, residual = 0.0002261867183080457 CG iteration 5, residual = 0.0001520266989698739 CG iteration 6, residual = 7.437597509908908e-05 CG iteration 7, residual = 4.322047801850365e-05 CG iteration 8, residual = 3.947680885419888e-05 CG iteration 9, residual = 3.0468967444215667e-05 CG iteration 10, residual = 2.3418575959258167e-05 CG iteration 11, residual = 3.064725999007974e-05 CG iteration 12, residual = 3.880259822309396e-05 CG iteration 13, residual = 3.5588082373962224e-05 CG iteration 14, residual = 3.4845256397659454e-05 CG iteration 15, residual = 3.0344898533038263e-05 CG iteration 16, residual = 2.1283069968562773e-05 CG iteration 17, residual = 1.379131542907579e-05

end{sphinxVerbatim}

CG iteration 95, residual = 7.099232289246309e-11 CG iteration 96, residual = 5.908291014586183e-11 CG iteration 97, residual = 4.787721809887845e-11 CG iteration 98, residual = 4.405362718263661e-11 CG iteration 99, residual = 4.1691711312690595e-11 CG iteration 100, residual = 4.058586580834294e-11 CG iteration 101, residual = 4.01922449446999e-11 CG iteration 102, residual = 4.47814089101807e-11 CG iteration 103, residual = 4.1557756436049456e-11 CG iteration 104, residual = 4.1718802268427074e-11 CG iteration 105, residual = 3.4691128105411784e-11 CG converged in 105 iterations to residual 3.4691128105411784e-11

0.007CG iteration 1, residual = 0.0035032359873999218

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0.008CG iteration 1, residual = 0.0035029473093459783

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iteration 101, residual = 4.015183055311352e-11 CG iteration 102, residual = 4.442945542946559e-11 CG iteration 103, residual = 4.147595921683343e-11 CG iteration 104, residual = 4.1695949275600026e-11 CG iteration 105, residual = 3.454608343928488e-11 CG converged in 105 iterations to residual 3.454608343928488e-11

0.009000000000000001CG iteration 1, residual = 0.003502662128308906

CG iteration 2, residual = 0.0002733961580586486 CG iteration 3, residual = 0.00022338210572804754 CG iteration 4, residual = 0.00023089237760424321 CG iteration 5, residual = 0.00015249455460110268 CG iteration 6, residual = 7.537368993756873e-05 CG iteration 7, residual = 4.533728160404172e-05 CG iteration 8, residual = 4.1725823073207305e-05 CG iteration 9, residual = 3.139085985595972e-05 CG iteration 10, residual = 2.393857682546425e-05 CG iteration 11, residual = 3.115564588412961e-05 CG iteration 12, residual = 3.8882643454023555e-05 CG iteration 13, residual = 3.571641054249972e-05 CG iteration 14, residual = 3.5418574322292915e-05 CG iteration 15, residual = 3.11499785767884e-05 CG iteration 16, residual = 2.1908142273651232e-05 CG iteration 17, residual = 1.4150286856343285e-05 CG iteration 18, residual = 1.0441454373612276e-05 CG iteration 19, residual = 9.241328153343562e-06 CG iteration 20, residual = 7.620636514060706e-06 CG iteration 21, residual = 6.072556690728821e-06 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0.01CG iteration 1, residual = 0.003502380033659947

CG iteration 2, residual = 0.0002726097547274006 CG iteration 3, residual = 0.00022196212399513062 CG iteration 4, residual = 0.00022985671101846778 CG iteration 5, residual = 0.00015238019421120615 CG iteration 6, residual = 7.51580214644945e-05 CG iteration 7, residual = 4.489024345630351e-05 CG iteration 8, residual = 4.125096006274376e-05 CG iteration 9, residual = 3.1188672355801257e-05 CG iteration 10, residual = 2.3815045030688157e-05 CG iteration 11, residual = 3.102768042903796e-05 CG iteration 12, residual = 3.8840275375384565e-05 CG iteration 13, residual = 3.567435232037147e-05 CG iteration 14, residual = 3.529803567288964e-05 CG iteration 15, residual = 3.098740277435999e-05 CG iteration 16, residual = 2.178123838138312e-05 CG iteration 17, residual = 1.4077754782036818e-05 CG iteration 18, residual = 1.0377866592549592e-05 CG iteration 19, residual = 9.15523899098614e-06 CG iteration 20, residual = 7.559566003024353e-06 CG iteration 21, residual = 6.031920425364622e-06 CG 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0.011CG iteration 1, residual = 0.0035021006481831423

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0.012CG iteration 1, residual = 0.003501823625579205

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iteration 101, residual = 3.9983273211595324e-11 CG iteration 102, residual = 4.344553143752583e-11 CG iteration 103, residual = 4.1224767751237936e-11 CG iteration 104, residual = 4.138986422904719e-11 CG iteration 105, residual = 3.428120859428714e-11 CG converged in 105 iterations to residual 3.428120859428714e-11

0.013000000000000001CG iteration 1, residual = 0.003501548648159748

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0.014CG iteration 1, residual = 0.0035012754247166528

CG iteration 2, residual = 0.00026975157258901606 CG iteration 3, residual = 0.0002169495678562328 CG iteration 4, residual = 0.0002261867183080457 CG iteration 5, residual = 0.0001520266989698739 CG iteration 6, residual = 7.437597509908908e-05 CG iteration 7, residual = 4.322047801850365e-05 CG iteration 8, residual = 3.947680885419888e-05 CG iteration 9, residual = 3.0468967444215667e-05 CG iteration 10, residual = 2.3418575959258167e-05 CG iteration 11, residual = 3.064725999007974e-05 CG iteration 12, residual = 3.880259822309396e-05 CG iteration 13, residual = 3.5588082373962224e-05 CG iteration 14, residual = 3.4845256397659454e-05 CG iteration 15, residual = 3.0344898533038263e-05 CG iteration 16, residual = 2.1283069968562773e-05 CG iteration 17, residual = 1.379131542907579e-05

CG iteration 18, residual = 1.0137874431575838e-05

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0.015CG iteration 1, residual = 0.003501003688552644

CG iteration 2, residual = 0.00026910053990292893 CG iteration 3, residual = 0.00021584457252678241 CG iteration 4, residual = 0.00022537640664181373

</pre>

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0.015CG iteration 1, residual = 0.003501003688552644

CG iteration 2, residual = 0.00026910053990292893 CG iteration 3, residual = 0.00021584457252678241 CG iteration 4, residual = 0.00022537640664181373

end{sphinxVerbatim}

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0.015CG iteration 1, residual = 0.003501003688552644

CG iteration 2, residual = 0.00026910053990292893 CG iteration 3, residual = 0.00021584457252678241 CG iteration 4, residual = 0.00022537640664181373

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0.016CG iteration 1, residual = 0.0035007331956602755

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0.017CG iteration 1, residual = 0.0035004637230376143

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0.018000000000000002CG iteration 1, residual = 0.003500195067129859

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0.019CG iteration 1, residual = 0.0034999270423870465

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0.02CG iteration 1, residual = 0.0034996594799287504

CG iteration 2, residual = 0.00026615762602093913 CG iteration 3, residual = 0.00021105313895443048 CG iteration 4, residual = 0.00022187149786234104 CG iteration 5, residual = 0.00015173394987096393 CG iteration 6, residual = 7.338613661185809e-05 CG iteration 7, residual = 4.1002038262805865e-05 CG iteration 8, residual = 3.71211010455754e-05 CG iteration 9, residual = 2.9602991423072655e-05 CG iteration 10, residual = 2.3052041456051596e-05 CG iteration 11, residual = 3.0366278522542788e-05 CG iteration 12, residual = 3.9022294181001045e-05 CG iteration 13, residual = 3.56065254999373e-05 CG iteration 14, residual = 3.4186923874620416e-05 CG iteration 15, residual = 2.9373724102095797e-05 CG iteration 16, residual = 2.0551426325479998e-05 CG iteration 17, residual = 1.3369375974652548e-05 CG iteration 18, residual = 9.813917039132864e-06 CG iteration 19, residual = 8.422695789496116e-06 CG iteration 20, residual = 7.020318816929297e-06 CG iteration 21, residual = 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0.021CG iteration 1, residual = 0.003499392226307487

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0.022CG iteration 1, residual = 0.0034991251423631686

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</pre>

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0.016CG iteration 1, residual = 0.0035007331956602755

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0.017CG iteration 1, residual = 0.0035004637230376143

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iteration 101, residual = 3.959294980504733e-11 CG iteration 102, residual = 4.185150230163987e-11 CG iteration 103, residual = 4.079223505243692e-11 CG iteration 104, residual = 4.056290384722825e-11 CG iteration 105, residual = 3.399822064357001e-11 CG converged in 105 iterations to residual 3.399822064357001e-11

0.018000000000000002CG iteration 1, residual = 0.003500195067129859

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0.019CG iteration 1, residual = 0.0034999270423870465

CG iteration 2, residual = 0.00026670848074857034 CG iteration 3, residual = 0.0002119224882995443 CG iteration 4, residual = 0.00022250534401227912 CG iteration 5, residual = 0.00015176718124535366 CG iteration 6, residual = 7.353901233331884e-05 CG iteration 7, residual = 4.135169902115991e-05 CG iteration 8, residual = 3.749221934578758e-05 CG iteration 9, residual = 2.9732516737255144e-05 CG iteration 10, residual = 2.309763910937324e-05 CG iteration 11, residual = 3.0394774511316688e-05 CG iteration 12, residual = 3.8969386716074296e-05 CG iteration 13, residual = 3.5596439012634774e-05 CG iteration 14, residual = 3.4298203215419504e-05 CG iteration 15, residual = 2.9537464853919973e-05 CG iteration 16, residual = 2.0672465815049427e-05 CG iteration 17, residual = 1.3439029603513566e-05 CG iteration 18, residual = 9.865211615565612e-06 CG iteration 19, residual = 8.486602113752598e-06 CG iteration 20, residual = 7.068506408055065e-06 CG iteration 21, residual = 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0.02CG iteration 1, residual = 0.0034996594799287504

CG iteration 2, residual = 0.00026615762602093913 CG iteration 3, residual = 0.00021105313895443048 CG iteration 4, residual = 0.00022187149786234104 CG iteration 5, residual = 0.00015173394987096393 CG iteration 6, residual = 7.338613661185809e-05 CG iteration 7, residual = 4.1002038262805865e-05 CG iteration 8, residual = 3.71211010455754e-05 CG iteration 9, residual = 2.9602991423072655e-05 CG iteration 10, residual = 2.3052041456051596e-05 CG iteration 11, residual = 3.0366278522542788e-05 CG iteration 12, residual = 3.9022294181001045e-05 CG iteration 13, residual = 3.56065254999373e-05 CG iteration 14, residual = 3.4186923874620416e-05 CG iteration 15, residual = 2.9373724102095797e-05 CG iteration 16, residual = 2.0551426325479998e-05 CG iteration 17, residual = 1.3369375974652548e-05 CG iteration 18, residual = 9.813917039132864e-06 CG iteration 19, residual = 8.422695789496116e-06 CG iteration 20, residual = 7.020318816929297e-06 CG iteration 21, residual = 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0.021CG iteration 1, residual = 0.003499392226307487

CG iteration 2, residual = 0.0002656235608075457 CG iteration 3, residual = 0.00021022352449486694 CG iteration 4, residual = 0.00022126806022626654 CG iteration 5, residual = 0.0001517058641189097 CG iteration 6, residual = 7.32373413042507e-05 CG iteration 7, residual = 4.065949504735404e-05 CG iteration 8, residual = 3.6757592503281485e-05 CG iteration 9, residual = 2.947864166701894e-05 CG iteration 10, residual = 2.3011796138068018e-05 CG iteration 11, residual = 3.0343693361377137e-05 CG iteration 12, residual = 3.908003477770683e-05 CG iteration 13, residual = 3.5618163468946736e-05 CG iteration 14, residual = 3.407435999161058e-05 CG iteration 15, residual = 2.9209058292756795e-05 CG iteration 16, residual = 2.0430732870753615e-05 CG iteration 17, residual = 1.3300051527628116e-05 CG iteration 18, residual = 9.763644437914473e-06 CG iteration 19, residual = 8.360632104181607e-06 CG iteration 20, residual = 6.9733583970698e-06 CG iteration 21, residual = 5.61512157638372e-06 CG 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0.022CG iteration 1, residual = 0.0034991251423631686

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end{sphinxVerbatim}

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0.016CG iteration 1, residual = 0.0035007331956602755

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0.017CG iteration 1, residual = 0.0035004637230376143

CG iteration 2, residual = 0.0002678645613925381 CG iteration 3, residual = 0.00021378953879856594 CG iteration 4, residual = 0.0002238704181200924 CG iteration 5, residual = 0.00015185083036029884 CG iteration 6, residual = 7.3858212020731e-05 CG iteration 7, residual = 4.2073833542658956e-05 CG iteration 8, residual = 3.8258880702200375e-05 CG iteration 9, residual = 3.000829590031622e-05 CG iteration 10, residual = 2.3206234497526605e-05 CG iteration 11, residual = 3.0471777887379656e-05 CG iteration 12, residual = 3.888078382248407e-05 CG iteration 13, residual = 3.5582902435367474e-05 CG iteration 14, residual = 3.451789350862345e-05 CG iteration 15, residual = 2.9862384155580684e-05 CG iteration 16, residual = 2.0915568173091894e-05 CG iteration 17, residual = 1.3579202202476354e-05 CG iteration 18, residual = 9.970952641555279e-06 CG iteration 19, residual = 8.620177550217569e-06 CG iteration 20, residual = 7.168631506569559e-06 CG iteration 21, residual = 5.7590497866337655e-06 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0.018000000000000002CG iteration 1, residual = 0.003500195067129859

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0.019CG iteration 1, residual = 0.0034999270423870465

CG iteration 2, residual = 0.00026670848074857034 CG iteration 3, residual = 0.0002119224882995443 CG iteration 4, residual = 0.00022250534401227912 CG iteration 5, residual = 0.00015176718124535366 CG iteration 6, residual = 7.353901233331884e-05 CG iteration 7, residual = 4.135169902115991e-05 CG iteration 8, residual = 3.749221934578758e-05 CG iteration 9, residual = 2.9732516737255144e-05 CG iteration 10, residual = 2.309763910937324e-05 CG iteration 11, residual = 3.0394774511316688e-05 CG iteration 12, residual = 3.8969386716074296e-05 CG iteration 13, residual = 3.5596439012634774e-05 CG iteration 14, residual = 3.4298203215419504e-05 CG iteration 15, residual = 2.9537464853919973e-05 CG iteration 16, residual = 2.0672465815049427e-05 CG iteration 17, residual = 1.3439029603513566e-05 CG iteration 18, residual = 9.865211615565612e-06 CG iteration 19, residual = 8.486602113752598e-06 CG iteration 20, residual = 7.068506408055065e-06 CG iteration 21, residual = 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iteration 81, residual = 4.527527262771175e-10 CG iteration 82, residual = 3.6666320666021457e-10 CG iteration 83, residual = 3.431277777770593e-10 CG iteration 84, residual = 3.453007682566507e-10 CG iteration 85, residual = 3.5571061684562586e-10 CG iteration 86, residual = 3.8660366745600587e-10 CG iteration 87, residual = 3.802330718508536e-10 CG iteration 88, residual = 3.5186646967030477e-10 CG iteration 89, residual = 2.998997575245889e-10 CG iteration 90, residual = 2.5903527458326295e-10 CG iteration 91, residual = 1.9424114199384675e-10 CG iteration 92, residual = 1.5299550455627173e-10 CG iteration 93, residual = 1.1171413419658109e-10 CG iteration 94, residual = 8.209791653693687e-11 CG iteration 95, residual = 6.845545809397776e-11 CG iteration 96, residual = 5.667767548705256e-11 CG iteration 97, residual = 4.704286278095046e-11 CG iteration 98, residual = 4.221599768214049e-11 CG iteration 99, residual = 4.11040236082526e-11 CG iteration 100, residual = 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0.02CG iteration 1, residual = 0.0034996594799287504

CG iteration 2, residual = 0.00026615762602093913 CG iteration 3, residual = 0.00021105313895443048 CG iteration 4, residual = 0.00022187149786234104 CG iteration 5, residual = 0.00015173394987096393 CG iteration 6, residual = 7.338613661185809e-05 CG iteration 7, residual = 4.1002038262805865e-05 CG iteration 8, residual = 3.71211010455754e-05 CG iteration 9, residual = 2.9602991423072655e-05 CG iteration 10, residual = 2.3052041456051596e-05 CG iteration 11, residual = 3.0366278522542788e-05 CG iteration 12, residual = 3.9022294181001045e-05 CG iteration 13, residual = 3.56065254999373e-05 CG iteration 14, residual = 3.4186923874620416e-05 CG iteration 15, residual = 2.9373724102095797e-05 CG iteration 16, residual = 2.0551426325479998e-05 CG iteration 17, residual = 1.3369375974652548e-05 CG iteration 18, residual = 9.813917039132864e-06 CG iteration 19, residual = 8.422695789496116e-06 CG iteration 20, residual = 7.020318816929297e-06 CG iteration 21, residual = 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0.021CG iteration 1, residual = 0.003499392226307487

CG iteration 2, residual = 0.0002656235608075457 CG iteration 3, residual = 0.00021022352449486694 CG iteration 4, residual = 0.00022126806022626654 CG iteration 5, residual = 0.0001517058641189097 CG iteration 6, residual = 7.32373413042507e-05 CG iteration 7, residual = 4.065949504735404e-05 CG iteration 8, residual = 3.6757592503281485e-05 CG iteration 9, residual = 2.947864166701894e-05 CG iteration 10, residual = 2.3011796138068018e-05 CG iteration 11, residual = 3.0343693361377137e-05 CG iteration 12, residual = 3.908003477770683e-05 CG iteration 13, residual = 3.5618163468946736e-05 CG iteration 14, residual = 3.407435999161058e-05 CG iteration 15, residual = 2.9209058292756795e-05 CG iteration 16, residual = 2.0430732870753615e-05 CG iteration 17, residual = 1.3300051527628116e-05 CG iteration 18, residual = 9.763644437914473e-06 CG iteration 19, residual = 8.360632104181607e-06 CG iteration 20, residual = 6.9733583970698e-06 CG iteration 21, residual = 5.61512157638372e-06 CG 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iteration 81, residual = 4.4844593267789534e-10 CG iteration 82, residual = 3.631462627749216e-10 CG iteration 83, residual = 3.392748327225723e-10 CG iteration 84, residual = 3.4022349721751535e-10 CG iteration 85, residual = 3.531385181341105e-10 CG iteration 86, residual = 3.820556285280273e-10 CG iteration 87, residual = 3.780113893267728e-10 CG iteration 88, residual = 3.4934861348812464e-10 CG iteration 89, residual = 2.9638591659686173e-10 CG iteration 90, residual = 2.5625899268598754e-10 CG iteration 91, residual = 1.9214443057750597e-10 CG iteration 92, residual = 1.524189275246452e-10 CG iteration 93, residual = 1.1100778003124254e-10 CG iteration 94, residual = 8.174601503475498e-11 CG iteration 95, residual = 6.806457868312794e-11 CG iteration 96, residual = 5.619619910441268e-11 CG iteration 97, residual = 4.6864976951375665e-11 CG iteration 98, residual = 4.182257901232309e-11 CG iteration 99, residual = 4.076398266640114e-11 CG iteration 100, residual = 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0.022CG iteration 1, residual = 0.0034991251423631686

CG iteration 2, residual = 0.0002651053665723844 CG iteration 3, residual = 0.0002094315385236896 CG iteration 4, residual = 0.00022069358743942097 CG iteration 5, residual = 0.00015168252310812937 CG iteration 6, residual = 7.309235814134801e-05 CG iteration 7, residual = 4.032374287087178e-05 CG iteration 8, residual = 3.6401332574308736e-05 CG iteration 9, residual = 2.9359195185675956e-05 CG iteration 10, residual = 2.2976605305843597e-05 CG iteration 11, residual = 3.032650832532775e-05 CG iteration 12, residual = 3.914199477504823e-05 CG iteration 13, residual = 3.5630918811061024e-05 CG iteration 14, residual = 3.396031840470617e-05 CG iteration 15, residual = 2.904344256678665e-05 CG iteration 16, residual = 2.0310401061058686e-05 CG iteration 17, residual = 1.3231091131363677e-05 CG iteration 18, residual = 9.714375763065734e-06 CG iteration 19, residual = 8.300354632689676e-06 CG iteration 20, residual = 6.927605076144969e-06 CG iteration 21, residual = 5.580707779331482e-06 CG iteration 22, residual = 5.193884587226574e-06 CG iteration 23, residual = 4.584304681433868e-06 CG iteration 24, residual = 4.512937925406394e-06 CG iteration 25, residual = 4.7003423040047864e-06 CG iteration 26, residual = 4.99439912361814e-06 CG iteration 27, residual = 4.840459820532774e-06 CG iteration 28, residual = 3.91416555943783e-06 CG iteration 29, residual = 3.0001736386833535e-06 CG iteration 30, residual = 1.909807930554776e-06 CG iteration 31, residual = 1.3749789975463694e-06 CG iteration 32, residual = 1.1364672329842508e-06 CG iteration 33, residual = 9.044005506032427e-07

CG iteration 34, residual = 6.37748305730149e-07

CG iteration 35, residual = 4.918562234339331e-07 CG iteration 36, residual = 4.3340000099785405e-07 CG iteration 37, residual = 3.9139244779966845e-07 CG iteration 38, residual = 4.1428387252735143e-07 CG iteration 39, residual = 4.305775793492394e-07 CG iteration 40, residual = 4.607598984663823e-07 CG iteration 41, residual = 4.026752246159263e-07 CG iteration 42, residual = 3.743400053931674e-07 CG iteration 43, residual = 3.4046533448215793e-07 CG iteration 44, residual = 2.610780168563376e-07 CG iteration 45, residual = 1.947973922965001e-07 CG iteration 46, residual = 1.4867415344707222e-07 CG iteration 47, residual = 1.0723941780198438e-07 CG iteration 48, residual = 7.8149614076342e-08 CG iteration 49, residual = 6.11755382989113e-08 CG iteration 50, residual = 5.569422208624208e-08 CG iteration 51, residual = 4.783437845943873e-08 CG iteration 52, residual = 4.640515398052617e-08 CG iteration 53, residual = 4.6842824066595466e-08 CG iteration 54, residual = 5.12700069009314e-08 CG iteration 55, residual = 4.960820540248566e-08 CG iteration 56, residual = 4.5634843174238136e-08 CG iteration 57, residual = 3.855161281242868e-08 CG iteration 58, residual = 3.3592622899763045e-08 CG iteration 59, residual = 2.7516739321609202e-08 CG iteration 60, residual = 2.0765813262817226e-08 CG iteration 61, residual = 1.5261259197933392e-08 CG iteration 62, residual = 1.0953416923731341e-08 CG iteration 63, residual = 7.724149318187366e-09 CG iteration 64, residual = 6.1432033886997e-09 CG iteration 65, residual = 5.032158330692109e-09 CG iteration 66, residual = 4.50018555037981e-09 CG iteration 67, residual = 4.047669470758188e-09 CG iteration 68, residual = 4.0942159068033276e-09 CG iteration 69, residual = 4.074330016653423e-09 CG iteration 70, residual = 4.323990600878491e-09 CG iteration 71, residual = 4.23626133774326e-09 CG iteration 72, residual = 3.885122005276957e-09 CG iteration 73, residual = 3.2392082203011834e-09 CG iteration 74, residual = 2.597292049054133e-09 CG iteration 75, residual = 1.8899865466317463e-09 CG iteration 76, residual = 1.4763744340816227e-09 CG iteration 77, residual = 1.1004059418923093e-09 CG iteration 78, residual = 8.549563349345474e-10 CG iteration 79, residual = 6.646160579007124e-10 CG iteration 80, residual = 5.476766289316589e-10 CG iteration 81, residual = 4.4625763677265263e-10 CG iteration 82, residual = 3.6140140001198693e-10 CG iteration 83, residual = 3.3728734853878076e-10 CG iteration 84, residual = 3.3773492272214513e-10 CG iteration 85, residual = 3.5184151572340256e-10 CG iteration 86, residual = 3.796672569790714e-10 CG iteration 87, residual = 3.7689259879981535e-10 CG iteration 88, residual = 3.4808454131580965e-10 CG iteration 89, residual = 2.946674576093797e-10 CG iteration 90, residual = 2.548217510777428e-10 CG iteration 91, residual = 1.9112796401438504e-10 CG iteration 92, residual = 1.5210811936477555e-10 CG iteration 93, residual = 1.1064511404725328e-10 CG iteration 94, residual = 8.159419464009897e-11 CG iteration 95, residual = 6.786452988270309e-11 CG iteration 96, residual = 5.5953650308732496e-11 CG iteration 97, residual = 4.677535994283423e-11 CG iteration 98, residual = 4.161815577859002e-11 CG iteration 99, residual = 4.057780286896796e-11 CG iteration 100, residual = 3.831753551936331e-11 CG iteration 101, residual = 3.900760097304317e-11 CG iteration 102, residual = 4.011062179065174e-11 CG iteration 103, residual = 4.0294992970649684e-11 CG iteration 104, residual = 3.937053135710275e-11 CG iteration 105, residual = 3.377742899478914e-11 CG converged in 105 iterations to residual 3.377742899478914e-11

0.023CG iteration 1, residual = 0.0034988581021615723

CG iteration 2, residual = 0.0002646021847055455 CG iteration 3, residual = 0.0002086752066583068 CG iteration 4, residual = 0.00022014670807520223 CG iteration 5, residual = 0.00015166355256387366 CG iteration 6, residual = 7.295094277767807e-05 CG iteration 7, residual = 3.99944829781855e-05 CG iteration 8, residual = 3.605198773918122e-05 CG iteration 9, residual = 2.9244400142825446e-05 CG iteration 10, residual = 2.294619851772312e-05 CG iteration 11, residual = 3.0314255721558537e-05 CG iteration 12, residual = 3.9207607687608526e-05 CG iteration 13, residual = 3.56444019778679e-05 CG iteration 14, residual = 3.3844643570696135e-05 CG iteration 15, residual = 2.8876871139740936e-05

</pre>

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0.023CG iteration 1, residual = 0.0034988581021615723

CG iteration 2, residual = 0.0002646021847055455 CG iteration 3, residual = 0.0002086752066583068 CG iteration 4, residual = 0.00022014670807520223 CG iteration 5, residual = 0.00015166355256387366 CG iteration 6, residual = 7.295094277767807e-05 CG iteration 7, residual = 3.99944829781855e-05 CG iteration 8, residual = 3.605198773918122e-05 CG iteration 9, residual = 2.9244400142825446e-05 CG iteration 10, residual = 2.294619851772312e-05 CG iteration 11, residual = 3.0314255721558537e-05 CG iteration 12, residual = 3.9207607687608526e-05 CG iteration 13, residual = 3.56444019778679e-05 CG iteration 14, residual = 3.3844643570696135e-05 CG iteration 15, residual = 2.8876871139740936e-05

end{sphinxVerbatim}

CG iteration 35, residual = 4.918562234339331e-07 CG iteration 36, residual = 4.3340000099785405e-07 CG iteration 37, residual = 3.9139244779966845e-07 CG iteration 38, residual = 4.1428387252735143e-07 CG iteration 39, residual = 4.305775793492394e-07 CG iteration 40, residual = 4.607598984663823e-07 CG iteration 41, residual = 4.026752246159263e-07 CG iteration 42, residual = 3.743400053931674e-07 CG iteration 43, residual = 3.4046533448215793e-07 CG iteration 44, residual = 2.610780168563376e-07 CG iteration 45, residual = 1.947973922965001e-07 CG iteration 46, residual = 1.4867415344707222e-07 CG iteration 47, residual = 1.0723941780198438e-07 CG iteration 48, residual = 7.8149614076342e-08 CG iteration 49, residual = 6.11755382989113e-08 CG iteration 50, residual = 5.569422208624208e-08 CG iteration 51, residual = 4.783437845943873e-08 CG iteration 52, residual = 4.640515398052617e-08 CG iteration 53, residual = 4.6842824066595466e-08 CG iteration 54, residual = 5.12700069009314e-08 CG iteration 55, residual = 4.960820540248566e-08 CG iteration 56, residual = 4.5634843174238136e-08 CG iteration 57, residual = 3.855161281242868e-08 CG iteration 58, residual = 3.3592622899763045e-08 CG iteration 59, residual = 2.7516739321609202e-08 CG iteration 60, residual = 2.0765813262817226e-08 CG iteration 61, residual = 1.5261259197933392e-08 CG iteration 62, residual = 1.0953416923731341e-08 CG iteration 63, residual = 7.724149318187366e-09 CG iteration 64, residual = 6.1432033886997e-09 CG iteration 65, residual = 5.032158330692109e-09 CG iteration 66, residual = 4.50018555037981e-09 CG iteration 67, residual = 4.047669470758188e-09 CG iteration 68, residual = 4.0942159068033276e-09 CG iteration 69, residual = 4.074330016653423e-09 CG iteration 70, residual = 4.323990600878491e-09 CG iteration 71, residual = 4.23626133774326e-09 CG iteration 72, residual = 3.885122005276957e-09 CG iteration 73, residual = 3.2392082203011834e-09 CG iteration 74, residual = 2.597292049054133e-09 CG iteration 75, residual = 1.8899865466317463e-09 CG iteration 76, residual = 1.4763744340816227e-09 CG iteration 77, residual = 1.1004059418923093e-09 CG iteration 78, residual = 8.549563349345474e-10 CG iteration 79, residual = 6.646160579007124e-10 CG iteration 80, residual = 5.476766289316589e-10 CG iteration 81, residual = 4.4625763677265263e-10 CG iteration 82, residual = 3.6140140001198693e-10 CG iteration 83, residual = 3.3728734853878076e-10 CG iteration 84, residual = 3.3773492272214513e-10 CG iteration 85, residual = 3.5184151572340256e-10 CG iteration 86, residual = 3.796672569790714e-10 CG iteration 87, residual = 3.7689259879981535e-10 CG iteration 88, residual = 3.4808454131580965e-10 CG iteration 89, residual = 2.946674576093797e-10 CG iteration 90, residual = 2.548217510777428e-10 CG iteration 91, residual = 1.9112796401438504e-10 CG iteration 92, residual = 1.5210811936477555e-10 CG iteration 93, residual = 1.1064511404725328e-10 CG iteration 94, residual = 8.159419464009897e-11 CG iteration 95, residual = 6.786452988270309e-11 CG iteration 96, residual = 5.5953650308732496e-11 CG iteration 97, residual = 4.677535994283423e-11 CG iteration 98, residual = 4.161815577859002e-11 CG iteration 99, residual = 4.057780286896796e-11 CG iteration 100, residual = 3.831753551936331e-11 CG iteration 101, residual = 3.900760097304317e-11 CG iteration 102, residual = 4.011062179065174e-11 CG iteration 103, residual = 4.0294992970649684e-11 CG iteration 104, residual = 3.937053135710275e-11 CG iteration 105, residual = 3.377742899478914e-11 CG converged in 105 iterations to residual 3.377742899478914e-11

0.023CG iteration 1, residual = 0.0034988581021615723

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CG iteration 16, residual = 2.0190453827267397e-05

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0.024CPU times: user 628 ms, sys: 5.83 ms, total: 634 ms

Wall time: 630 ms </pre>

CG iteration 17, residual = 1.3162531787109296e-05 CG iteration 18, residual = 9.666094931121258e-06 CG iteration 19, residual = 8.241808444878573e-06 CG iteration 20, residual = 6.883036562571137e-06 CG iteration 21, residual = 5.5469357396962055e-06 CG iteration 22, residual = 5.150382395329695e-06 CG iteration 23, residual = 4.545998777136423e-06 CG iteration 24, residual = 4.477491115191744e-06 CG iteration 25, residual = 4.659328862592935e-06 CG iteration 26, residual = 4.950410513385545e-06 CG iteration 27, residual = 4.800737032451654e-06 CG iteration 28, residual = 3.884622237001901e-06 CG iteration 29, residual = 2.979605646554761e-06 CG iteration 30, residual = 1.8924632002720564e-06 CG iteration 31, residual = 1.358186704529132e-06 CG iteration 32, residual = 1.1246470606855332e-06 CG iteration 33, residual = 8.967572289783499e-07 CG iteration 34, residual = 6.336763242666049e-07 CG iteration 35, residual = 4.894099687192105e-07 CG iteration 36, residual = 4.3146112106687163e-07 CG iteration 37, residual = 3.8904037916000986e-07 CG iteration 38, residual = 4.118874219932432e-07 CG iteration 39, residual = 4.281930172719657e-07 CG iteration 40, residual = 4.5900633130727577e-07 CG iteration 41, residual = 4.0088379219026744e-07 CG iteration 42, residual = 3.7249878428084623e-07 CG iteration 43, residual = 3.382340170138856e-07 CG iteration 44, residual = 2.5927307968907704e-07 CG iteration 45, residual = 1.9368081814025373e-07 CG iteration 46, residual = 1.4756526269174903e-07 CG iteration 47, residual = 1.0632744080950316e-07 CG iteration 48, residual = 7.755619793333949e-08 CG iteration 49, residual = 6.068982419847682e-08 CG iteration 50, residual = 5.532046818438384e-08 CG iteration 51, residual = 4.7700853066661216e-08 CG iteration 52, residual = 4.621454968013655e-08 CG iteration 53, residual = 4.6533027354675124e-08 CG iteration 54, residual = 5.092947262475216e-08 CG iteration 55, residual = 4.9336699373388025e-08 CG iteration 56, residual = 4.539478163806252e-08 CG iteration 57, residual = 3.82987965283951e-08 CG iteration 58, residual = 3.338626300242165e-08 CG iteration 59, residual = 2.735786102411103e-08 CG iteration 60, residual = 2.0661084222957408e-08 CG iteration 61, residual = 1.5210500990795587e-08 CG iteration 62, residual = 1.0891585215130076e-08 CG iteration 63, residual = 7.675565139389973e-09 CG iteration 64, residual = 6.1010022505019045e-09 CG iteration 65, residual = 4.989642136614706e-09 CG iteration 66, residual = 4.47439601929969e-09 CG iteration 67, residual = 4.0283035594694906e-09 CG iteration 68, residual = 4.076588073931889e-09 CG iteration 69, residual = 4.0549409053415866e-09 CG iteration 70, residual = 4.30233897454419e-09 CG iteration 71, residual = 4.211634759802552e-09 CG iteration 72, residual = 3.85962992571114e-09 CG iteration 73, residual = 3.220987366995682e-09 CG iteration 74, residual = 2.5891188675511037e-09 CG iteration 75, residual = 1.881567467712478e-09 CG iteration 76, residual = 1.468326636153202e-09 CG iteration 77, residual = 1.0966377143891169e-09 CG iteration 78, residual = 8.504089753311674e-10 CG iteration 79, residual = 6.612050631104749e-10 CG iteration 80, residual = 5.444760384986183e-10 CG iteration 81, residual = 4.4405484502966203e-10 CG iteration 82, residual = 3.5966703062320047e-10 CG iteration 83, residual = 3.352700911427708e-10 CG iteration 84, residual = 3.352905769901081e-10 CG iteration 85, residual = 3.505413808582025e-10 CG iteration 86, residual = 3.772221446786016e-10 CG iteration 87, residual = 3.757751122593401e-10 CG iteration 88, residual = 3.468182830857938e-10 CG iteration 89, residual = 2.9297887655877483e-10 CG iteration 90, residual = 2.5335763379266104e-10 CG iteration 91, residual = 1.9013539652707753e-10 CG iteration 92, residual = 1.5178047461123438e-10 CG iteration 93, residual = 1.102783414794849e-10 CG iteration 94, residual = 8.145817363951375e-11 CG iteration 95, residual = 6.766055803178793e-11 CG iteration 96, residual = 5.571162128594709e-11 CG iteration 97, residual = 4.668563017148079e-11 CG iteration 98, residual = 4.140919103331786e-11 CG iteration 99, residual = 4.038262553621216e-11 CG iteration 100, residual = 3.814045429729577e-11 CG iteration 101, residual = 3.886792328495442e-11 CG iteration 102, residual = 3.9766487396455715e-11 CG iteration 103, residual = 4.019102917782134e-11 CG iteration 104, residual = 3.910276508541701e-11 CG iteration 105, residual = 3.3741137976274976e-11 CG converged in 105 iterations to residual 3.3741137976274976e-11

0.024CPU times: user 628 ms, sys: 5.83 ms, total: 634 ms

Wall time: 630 ms end{sphinxVerbatim}

CG iteration 17, residual = 1.3162531787109296e-05 CG iteration 18, residual = 9.666094931121258e-06 CG iteration 19, residual = 8.241808444878573e-06 CG iteration 20, residual = 6.883036562571137e-06 CG iteration 21, residual = 5.5469357396962055e-06 CG iteration 22, residual = 5.150382395329695e-06 CG iteration 23, residual = 4.545998777136423e-06 CG iteration 24, residual = 4.477491115191744e-06 CG iteration 25, residual = 4.659328862592935e-06 CG iteration 26, residual = 4.950410513385545e-06 CG iteration 27, residual = 4.800737032451654e-06 CG iteration 28, residual = 3.884622237001901e-06 CG iteration 29, residual = 2.979605646554761e-06 CG iteration 30, residual = 1.8924632002720564e-06 CG iteration 31, residual = 1.358186704529132e-06 CG iteration 32, residual = 1.1246470606855332e-06 CG iteration 33, residual = 8.967572289783499e-07 CG iteration 34, residual = 6.336763242666049e-07 CG iteration 35, residual = 4.894099687192105e-07 CG iteration 36, residual = 4.3146112106687163e-07 CG iteration 37, residual = 3.8904037916000986e-07 CG iteration 38, residual = 4.118874219932432e-07 CG iteration 39, residual = 4.281930172719657e-07 CG iteration 40, residual = 4.5900633130727577e-07 CG iteration 41, residual = 4.0088379219026744e-07 CG iteration 42, residual = 3.7249878428084623e-07 CG iteration 43, residual = 3.382340170138856e-07 CG iteration 44, residual = 2.5927307968907704e-07 CG iteration 45, residual = 1.9368081814025373e-07 CG iteration 46, residual = 1.4756526269174903e-07 CG iteration 47, residual = 1.0632744080950316e-07 CG iteration 48, residual = 7.755619793333949e-08 CG iteration 49, residual = 6.068982419847682e-08 CG iteration 50, residual = 5.532046818438384e-08 CG iteration 51, residual = 4.7700853066661216e-08 CG iteration 52, residual = 4.621454968013655e-08 CG iteration 53, residual = 4.6533027354675124e-08 CG iteration 54, residual = 5.092947262475216e-08 CG iteration 55, residual = 4.9336699373388025e-08 CG iteration 56, residual = 4.539478163806252e-08 CG iteration 57, residual = 3.82987965283951e-08 CG iteration 58, residual = 3.338626300242165e-08 CG iteration 59, residual = 2.735786102411103e-08 CG iteration 60, residual = 2.0661084222957408e-08 CG iteration 61, residual = 1.5210500990795587e-08 CG iteration 62, residual = 1.0891585215130076e-08 CG iteration 63, residual = 7.675565139389973e-09 CG iteration 64, residual = 6.1010022505019045e-09 CG iteration 65, residual = 4.989642136614706e-09 CG iteration 66, residual = 4.47439601929969e-09 CG iteration 67, residual = 4.0283035594694906e-09 CG iteration 68, residual = 4.076588073931889e-09 CG iteration 69, residual = 4.0549409053415866e-09 CG iteration 70, residual = 4.30233897454419e-09 CG iteration 71, residual = 4.211634759802552e-09 CG iteration 72, residual = 3.85962992571114e-09 CG iteration 73, residual = 3.220987366995682e-09 CG iteration 74, residual = 2.5891188675511037e-09 CG iteration 75, residual = 1.881567467712478e-09 CG iteration 76, residual = 1.468326636153202e-09 CG iteration 77, residual = 1.0966377143891169e-09 CG iteration 78, residual = 8.504089753311674e-10 CG iteration 79, residual = 6.612050631104749e-10 CG iteration 80, residual = 5.444760384986183e-10 CG iteration 81, residual = 4.4405484502966203e-10 CG iteration 82, residual = 3.5966703062320047e-10 CG iteration 83, residual = 3.352700911427708e-10 CG iteration 84, residual = 3.352905769901081e-10 CG iteration 85, residual = 3.505413808582025e-10 CG iteration 86, residual = 3.772221446786016e-10 CG iteration 87, residual = 3.757751122593401e-10 CG iteration 88, residual = 3.468182830857938e-10 CG iteration 89, residual = 2.9297887655877483e-10 CG iteration 90, residual = 2.5335763379266104e-10 CG iteration 91, residual = 1.9013539652707753e-10 CG iteration 92, residual = 1.5178047461123438e-10 CG iteration 93, residual = 1.102783414794849e-10 CG iteration 94, residual = 8.145817363951375e-11 CG iteration 95, residual = 6.766055803178793e-11 CG iteration 96, residual = 5.571162128594709e-11 CG iteration 97, residual = 4.668563017148079e-11 CG iteration 98, residual = 4.140919103331786e-11 CG iteration 99, residual = 4.038262553621216e-11 CG iteration 100, residual = 3.814045429729577e-11 CG iteration 101, residual = 3.886792328495442e-11 CG iteration 102, residual = 3.9766487396455715e-11 CG iteration 103, residual = 4.019102917782134e-11 CG iteration 104, residual = 3.910276508541701e-11 CG iteration 105, residual = 3.3741137976274976e-11 CG converged in 105 iterations to residual 3.3741137976274976e-11

0.024CPU times: user 628 ms, sys: 5.83 ms, total: 634 ms

Wall time: 630 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 constant CoefficientFunction the value of which can be changed with the Set-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)
more-to-come:

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009000000000000001 0.01 0.011 0.012 0.013000000000000001 0.014 0.015 0.016 0.017 0.018000000000000002 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026000000000000002 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036000000000000004 0.037 0.038 0.039 0.04 0.041 0.042 0.043000000000000003 0.044 0.045 0.046 0.047 0.048 0.049 0.05 0.051000000000000004 0.052000000000000005 0.053 0.054 0.055 0.056 0.057 0.058 0.059000000000000004 0.06 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.07100000000000001 0.07200000000000001 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084 0.085 0.08600000000000001 0.08700000000000001 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096 0.097 0.098 0.099 0.1 0.101 0.10200000000000001 0.10300000000000001 0.10400000000000001 0.105 0.106 0.107 0.108 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.11800000000000001 0.11900000000000001 0.12 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.129 0.13 0.131 0.132 0.133 0.134 0.135 0.136 0.137 0.138 0.139 0.14 0.14100000000000001 0.14200000000000002 0.14300000000000002 0.14400000000000002 0.145 0.146 0.147 0.148 0.149 0.15 0.151 0.152 0.153 0.154 0.155 0.156 0.157 0.158 0.159 0.16 0.161 0.162 0.163 0.164 0.165 0.166 0.167 0.168 0.169 0.17 0.171 0.17200000000000001 0.17300000000000001 0.17400000000000002 0.17500000000000002 0.176 0.177 0.178 0.179 0.18 0.181 0.182 0.183 0.184 0.185 0.186 0.187 0.188 0.189 0.19 0.191 0.192 0.193 0.194 0.195 0.196 0.197 0.198 0.199 0.2 0.201 0.202 0.203 0.20400000000000001 0.20500000000000002 0.20600000000000002 0.20700000000000002 0.20800000000000002 0.209 0.21 0.211 0.212 0.213 0.214 0.215 0.216 0.217 0.218 0.219 0.22 0.221 0.222 0.223 0.224 0.225 0.226 0.227 0.228 0.229 0.23 0.231 0.232

</pre>

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009000000000000001 0.01 0.011 0.012 0.013000000000000001 0.014 0.015 0.016 0.017 0.018000000000000002 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026000000000000002 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036000000000000004 0.037 0.038 0.039 0.04 0.041 0.042 0.043000000000000003 0.044 0.045 0.046 0.047 0.048 0.049 0.05 0.051000000000000004 0.052000000000000005 0.053 0.054 0.055 0.056 0.057 0.058 0.059000000000000004 0.06 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.07100000000000001 0.07200000000000001 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084 0.085 0.08600000000000001 0.08700000000000001 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096 0.097 0.098 0.099 0.1 0.101 0.10200000000000001 0.10300000000000001 0.10400000000000001 0.105 0.106 0.107 0.108 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.11800000000000001 0.11900000000000001 0.12 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.129 0.13 0.131 0.132 0.133 0.134 0.135 0.136 0.137 0.138 0.139 0.14 0.14100000000000001 0.14200000000000002 0.14300000000000002 0.14400000000000002 0.145 0.146 0.147 0.148 0.149 0.15 0.151 0.152 0.153 0.154 0.155 0.156 0.157 0.158 0.159 0.16 0.161 0.162 0.163 0.164 0.165 0.166 0.167 0.168 0.169 0.17 0.171 0.17200000000000001 0.17300000000000001 0.17400000000000002 0.17500000000000002 0.176 0.177 0.178 0.179 0.18 0.181 0.182 0.183 0.184 0.185 0.186 0.187 0.188 0.189 0.19 0.191 0.192 0.193 0.194 0.195 0.196 0.197 0.198 0.199 0.2 0.201 0.202 0.203 0.20400000000000001 0.20500000000000002 0.20600000000000002 0.20700000000000002 0.20800000000000002 0.209 0.21 0.211 0.212 0.213 0.214 0.215 0.216 0.217 0.218 0.219 0.22 0.221 0.222 0.223 0.224 0.225 0.226 0.227 0.228 0.229 0.23 0.231 0.232

end{sphinxVerbatim}

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009000000000000001 0.01 0.011 0.012 0.013000000000000001 0.014 0.015 0.016 0.017 0.018000000000000002 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026000000000000002 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036000000000000004 0.037 0.038 0.039 0.04 0.041 0.042 0.043000000000000003 0.044 0.045 0.046 0.047 0.048 0.049 0.05 0.051000000000000004 0.052000000000000005 0.053 0.054 0.055 0.056 0.057 0.058 0.059000000000000004 0.06 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.07100000000000001 0.07200000000000001 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084 0.085 0.08600000000000001 0.08700000000000001 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096 0.097 0.098 0.099 0.1 0.101 0.10200000000000001 0.10300000000000001 0.10400000000000001 0.105 0.106 0.107 0.108 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.11800000000000001 0.11900000000000001 0.12 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.129 0.13 0.131 0.132 0.133 0.134 0.135 0.136 0.137 0.138 0.139 0.14 0.14100000000000001 0.14200000000000002 0.14300000000000002 0.14400000000000002 0.145 0.146 0.147 0.148 0.149 0.15 0.151 0.152 0.153 0.154 0.155 0.156 0.157 0.158 0.159 0.16 0.161 0.162 0.163 0.164 0.165 0.166 0.167 0.168 0.169 0.17 0.171 0.17200000000000001 0.17300000000000001 0.17400000000000002 0.17500000000000002 0.176 0.177 0.178 0.179 0.18 0.181 0.182 0.183 0.184 0.185 0.186 0.187 0.188 0.189 0.19 0.191 0.192 0.193 0.194 0.195 0.196 0.197 0.198 0.199 0.2 0.201 0.202 0.203 0.20400000000000001 0.20500000000000002 0.20600000000000002 0.20700000000000002 0.20800000000000002 0.209 0.21 0.211 0.212 0.213 0.214 0.215 0.216 0.217 0.218 0.219 0.22 0.221 0.222 0.223 0.224 0.225 0.226 0.227 0.228 0.229 0.23 0.231 0.232

more-to-come:

0.233 0.234 0.23500000000000001 0.23600000000000002 0.23700000000000002 0.23800000000000002 0.23900000000000002 0.24 0.241 0.242 0.243 0.244 0.245 0.246 0.247 0.248 0.249 0.25 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259 0.26 0.261 0.262 0.263 0.264 0.265 0.266 0.267 0.268 0.269 0.27 0.271 0.272 0.273 0.274 0.275 0.276 0.277 0.278 0.279 0.28 0.281 0.28200000000000003 0.28300000000000003 0.28400000000000003 0.28500000000000003 0.28600000000000003 0.28700000000000003 0.28800000000000003 0.289 0.29 0.291 0.292 0.293 0.294 0.295 0.296 0.297 0.298 0.299 0.3 0.301 0.302 0.303 0.304 0.305 0.306 0.307 0.308 0.309 0.31 0.311 0.312 0.313 0.314 0.315 0.316 0.317 0.318 0.319 0.32 0.321 0.322 0.323 0.324 0.325 0.326 0.327 0.328 0.329 0.33 0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339 0.34 0.341 0.342 0.343 0.34400000000000003 0.34500000000000003 0.34600000000000003 0.34700000000000003 0.34800000000000003 0.34900000000000003 0.35000000000000003 0.35100000000000003 0.352 0.353 0.354 0.355 0.356 0.357 0.358 0.359 0.36 0.361 0.362 0.363 0.364 0.365 0.366 0.367 0.368 0.369 0.37 0.371 0.372 0.373 0.374 0.375 0.376 0.377 0.378 0.379 0.38 0.381 0.382 0.383 0.384 0.385 0.386 0.387 0.388 0.389 0.39 0.391 0.392 0.393 0.394 0.395 0.396 0.397 0.398 0.399 0.4 0.401 0.402 0.403 0.404 0.405 0.406 0.40700000000000003 0.40800000000000003 0.40900000000000003 0.41000000000000003 0.41100000000000003 0.41200000000000003 0.41300000000000003 0.41400000000000003 0.41500000000000004 0.41600000000000004 0.417 0.418 0.419 0.42 0.421 0.422 0.423 0.424 0.425 0.426 0.427 0.428 0.429 0.43 0.431 0.432 0.433 0.434 0.435 0.436 0.437 0.438 0.439 0.44 0.441 0.442 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.45 0.451 0.452 0.453 0.454 0.455 0.456 0.457 0.458 0.459

</pre>

0.233 0.234 0.23500000000000001 0.23600000000000002 0.23700000000000002 0.23800000000000002 0.23900000000000002 0.24 0.241 0.242 0.243 0.244 0.245 0.246 0.247 0.248 0.249 0.25 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259 0.26 0.261 0.262 0.263 0.264 0.265 0.266 0.267 0.268 0.269 0.27 0.271 0.272 0.273 0.274 0.275 0.276 0.277 0.278 0.279 0.28 0.281 0.28200000000000003 0.28300000000000003 0.28400000000000003 0.28500000000000003 0.28600000000000003 0.28700000000000003 0.28800000000000003 0.289 0.29 0.291 0.292 0.293 0.294 0.295 0.296 0.297 0.298 0.299 0.3 0.301 0.302 0.303 0.304 0.305 0.306 0.307 0.308 0.309 0.31 0.311 0.312 0.313 0.314 0.315 0.316 0.317 0.318 0.319 0.32 0.321 0.322 0.323 0.324 0.325 0.326 0.327 0.328 0.329 0.33 0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339 0.34 0.341 0.342 0.343 0.34400000000000003 0.34500000000000003 0.34600000000000003 0.34700000000000003 0.34800000000000003 0.34900000000000003 0.35000000000000003 0.35100000000000003 0.352 0.353 0.354 0.355 0.356 0.357 0.358 0.359 0.36 0.361 0.362 0.363 0.364 0.365 0.366 0.367 0.368 0.369 0.37 0.371 0.372 0.373 0.374 0.375 0.376 0.377 0.378 0.379 0.38 0.381 0.382 0.383 0.384 0.385 0.386 0.387 0.388 0.389 0.39 0.391 0.392 0.393 0.394 0.395 0.396 0.397 0.398 0.399 0.4 0.401 0.402 0.403 0.404 0.405 0.406 0.40700000000000003 0.40800000000000003 0.40900000000000003 0.41000000000000003 0.41100000000000003 0.41200000000000003 0.41300000000000003 0.41400000000000003 0.41500000000000004 0.41600000000000004 0.417 0.418 0.419 0.42 0.421 0.422 0.423 0.424 0.425 0.426 0.427 0.428 0.429 0.43 0.431 0.432 0.433 0.434 0.435 0.436 0.437 0.438 0.439 0.44 0.441 0.442 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.45 0.451 0.452 0.453 0.454 0.455 0.456 0.457 0.458 0.459

end{sphinxVerbatim}

0.233 0.234 0.23500000000000001 0.23600000000000002 0.23700000000000002 0.23800000000000002 0.23900000000000002 0.24 0.241 0.242 0.243 0.244 0.245 0.246 0.247 0.248 0.249 0.25 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259 0.26 0.261 0.262 0.263 0.264 0.265 0.266 0.267 0.268 0.269 0.27 0.271 0.272 0.273 0.274 0.275 0.276 0.277 0.278 0.279 0.28 0.281 0.28200000000000003 0.28300000000000003 0.28400000000000003 0.28500000000000003 0.28600000000000003 0.28700000000000003 0.28800000000000003 0.289 0.29 0.291 0.292 0.293 0.294 0.295 0.296 0.297 0.298 0.299 0.3 0.301 0.302 0.303 0.304 0.305 0.306 0.307 0.308 0.309 0.31 0.311 0.312 0.313 0.314 0.315 0.316 0.317 0.318 0.319 0.32 0.321 0.322 0.323 0.324 0.325 0.326 0.327 0.328 0.329 0.33 0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339 0.34 0.341 0.342 0.343 0.34400000000000003 0.34500000000000003 0.34600000000000003 0.34700000000000003 0.34800000000000003 0.34900000000000003 0.35000000000000003 0.35100000000000003 0.352 0.353 0.354 0.355 0.356 0.357 0.358 0.359 0.36 0.361 0.362 0.363 0.364 0.365 0.366 0.367 0.368 0.369 0.37 0.371 0.372 0.373 0.374 0.375 0.376 0.377 0.378 0.379 0.38 0.381 0.382 0.383 0.384 0.385 0.386 0.387 0.388 0.389 0.39 0.391 0.392 0.393 0.394 0.395 0.396 0.397 0.398 0.399 0.4 0.401 0.402 0.403 0.404 0.405 0.406 0.40700000000000003 0.40800000000000003 0.40900000000000003 0.41000000000000003 0.41100000000000003 0.41200000000000003 0.41300000000000003 0.41400000000000003 0.41500000000000004 0.41600000000000004 0.417 0.418 0.419 0.42 0.421 0.422 0.423 0.424 0.425 0.426 0.427 0.428 0.429 0.43 0.431 0.432 0.433 0.434 0.435 0.436 0.437 0.438 0.439 0.44 0.441 0.442 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.45 0.451 0.452 0.453 0.454 0.455 0.456 0.457 0.458 0.459

more-to-come:

0.46 0.461 0.462 0.463 0.464 0.465 0.466 0.467 0.468 0.46900000000000003 0.47000000000000003 0.47100000000000003 0.47200000000000003 0.47300000000000003 0.47400000000000003 0.47500000000000003 0.47600000000000003 0.47700000000000004 0.47800000000000004 0.47900000000000004 0.48 0.481 0.482 0.483 0.484 0.485 0.486 0.487 0.488 0.489 0.49 0.491 0.492 0.493 0.494 0.495 0.496 0.497 0.498 0.499 0.5 0.501 0.502 0.503 0.504 0.505 0.506 0.507 0.508 0.509 0.51 0.511 0.512 0.513 0.514 0.515 0.516 0.517 0.518 0.519 0.52 0.521 0.522 0.523 0.524 0.525 0.526 0.527 0.528 0.529 0.53 0.531 0.532 0.533 0.534 0.535 0.536 0.537 0.538 0.539 0.54 0.541 0.542 0.543 0.544 0.545 0.546 0.547 0.548 0.549 0.55 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 0.56 0.561 0.562 0.5630000000000001 0.5640000000000001 0.5650000000000001 0.5660000000000001 0.5670000000000001 0.5680000000000001 0.5690000000000001 0.5700000000000001 0.5710000000000001 0.5720000000000001 0.5730000000000001 0.5740000000000001 0.5750000000000001 0.5760000000000001 0.577 0.578 0.579 0.58 0.581 0.582 0.583 0.584 0.585 0.586 0.587 0.588 0.589 0.59 0.591 0.592 0.593 0.594 0.595 0.596 0.597 0.598 0.599 0.6 0.601 0.602 0.603 0.604 0.605 0.606 0.607 0.608 0.609 0.61 0.611 0.612 0.613 0.614 0.615 0.616 0.617 0.618 0.619 0.62 0.621 0.622 0.623 0.624 0.625 0.626 0.627 0.628 0.629 0.63 0.631 0.632 0.633 0.634 0.635 0.636 0.637 0.638 0.639 0.64 0.641 0.642 0.643 0.644 0.645 0.646 0.647 0.648 0.649 0.65 0.651 0.652 0.653 0.654 0.655 0.656 0.657 0.658 0.659 0.66 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668 0.669 0.67 0.671 0.672 0.673 0.674 0.675 0.676 0.677 0.678 0.679 0.68 0.681 0.682 0.683 0.684 0.685

</pre>

0.46 0.461 0.462 0.463 0.464 0.465 0.466 0.467 0.468 0.46900000000000003 0.47000000000000003 0.47100000000000003 0.47200000000000003 0.47300000000000003 0.47400000000000003 0.47500000000000003 0.47600000000000003 0.47700000000000004 0.47800000000000004 0.47900000000000004 0.48 0.481 0.482 0.483 0.484 0.485 0.486 0.487 0.488 0.489 0.49 0.491 0.492 0.493 0.494 0.495 0.496 0.497 0.498 0.499 0.5 0.501 0.502 0.503 0.504 0.505 0.506 0.507 0.508 0.509 0.51 0.511 0.512 0.513 0.514 0.515 0.516 0.517 0.518 0.519 0.52 0.521 0.522 0.523 0.524 0.525 0.526 0.527 0.528 0.529 0.53 0.531 0.532 0.533 0.534 0.535 0.536 0.537 0.538 0.539 0.54 0.541 0.542 0.543 0.544 0.545 0.546 0.547 0.548 0.549 0.55 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 0.56 0.561 0.562 0.5630000000000001 0.5640000000000001 0.5650000000000001 0.5660000000000001 0.5670000000000001 0.5680000000000001 0.5690000000000001 0.5700000000000001 0.5710000000000001 0.5720000000000001 0.5730000000000001 0.5740000000000001 0.5750000000000001 0.5760000000000001 0.577 0.578 0.579 0.58 0.581 0.582 0.583 0.584 0.585 0.586 0.587 0.588 0.589 0.59 0.591 0.592 0.593 0.594 0.595 0.596 0.597 0.598 0.599 0.6 0.601 0.602 0.603 0.604 0.605 0.606 0.607 0.608 0.609 0.61 0.611 0.612 0.613 0.614 0.615 0.616 0.617 0.618 0.619 0.62 0.621 0.622 0.623 0.624 0.625 0.626 0.627 0.628 0.629 0.63 0.631 0.632 0.633 0.634 0.635 0.636 0.637 0.638 0.639 0.64 0.641 0.642 0.643 0.644 0.645 0.646 0.647 0.648 0.649 0.65 0.651 0.652 0.653 0.654 0.655 0.656 0.657 0.658 0.659 0.66 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668 0.669 0.67 0.671 0.672 0.673 0.674 0.675 0.676 0.677 0.678 0.679 0.68 0.681 0.682 0.683 0.684 0.685

end{sphinxVerbatim}

0.46 0.461 0.462 0.463 0.464 0.465 0.466 0.467 0.468 0.46900000000000003 0.47000000000000003 0.47100000000000003 0.47200000000000003 0.47300000000000003 0.47400000000000003 0.47500000000000003 0.47600000000000003 0.47700000000000004 0.47800000000000004 0.47900000000000004 0.48 0.481 0.482 0.483 0.484 0.485 0.486 0.487 0.488 0.489 0.49 0.491 0.492 0.493 0.494 0.495 0.496 0.497 0.498 0.499 0.5 0.501 0.502 0.503 0.504 0.505 0.506 0.507 0.508 0.509 0.51 0.511 0.512 0.513 0.514 0.515 0.516 0.517 0.518 0.519 0.52 0.521 0.522 0.523 0.524 0.525 0.526 0.527 0.528 0.529 0.53 0.531 0.532 0.533 0.534 0.535 0.536 0.537 0.538 0.539 0.54 0.541 0.542 0.543 0.544 0.545 0.546 0.547 0.548 0.549 0.55 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 0.56 0.561 0.562 0.5630000000000001 0.5640000000000001 0.5650000000000001 0.5660000000000001 0.5670000000000001 0.5680000000000001 0.5690000000000001 0.5700000000000001 0.5710000000000001 0.5720000000000001 0.5730000000000001 0.5740000000000001 0.5750000000000001 0.5760000000000001 0.577 0.578 0.579 0.58 0.581 0.582 0.583 0.584 0.585 0.586 0.587 0.588 0.589 0.59 0.591 0.592 0.593 0.594 0.595 0.596 0.597 0.598 0.599 0.6 0.601 0.602 0.603 0.604 0.605 0.606 0.607 0.608 0.609 0.61 0.611 0.612 0.613 0.614 0.615 0.616 0.617 0.618 0.619 0.62 0.621 0.622 0.623 0.624 0.625 0.626 0.627 0.628 0.629 0.63 0.631 0.632 0.633 0.634 0.635 0.636 0.637 0.638 0.639 0.64 0.641 0.642 0.643 0.644 0.645 0.646 0.647 0.648 0.649 0.65 0.651 0.652 0.653 0.654 0.655 0.656 0.657 0.658 0.659 0.66 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668 0.669 0.67 0.671 0.672 0.673 0.674 0.675 0.676 0.677 0.678 0.679 0.68 0.681 0.682 0.683 0.684 0.685

more-to-come:

0.686 0.687 0.6880000000000001 0.6890000000000001 0.6900000000000001 0.6910000000000001 0.6920000000000001 0.6930000000000001 0.6940000000000001 0.6950000000000001 0.6960000000000001 0.6970000000000001 0.6980000000000001 0.6990000000000001 0.7000000000000001 0.7010000000000001 0.7020000000000001 0.7030000000000001 0.704 0.705 0.706 0.707 0.708 0.709 0.71 0.711 0.712 0.713 0.714 0.715 0.716 0.717 0.718 0.719 0.72 0.721 0.722 0.723 0.724 0.725 0.726 0.727 0.728 0.729 0.73 0.731 0.732 0.733 0.734 0.735 0.736 0.737 0.738 0.739 0.74 0.741 0.742 0.743 0.744 0.745 0.746 0.747 0.748 0.749 0.75 0.751 0.752 0.753 0.754 0.755 0.756 0.757 0.758 0.759 0.76 0.761 0.762 0.763 0.764 0.765 0.766 0.767 0.768 0.769 0.77 0.771 0.772 0.773 0.774 0.775 0.776 0.777 0.778 0.779 0.78 0.781 0.782 0.783 0.784 0.785 0.786 0.787 0.788 0.789 0.79 0.791 0.792 0.793 0.794 0.795 0.796 0.797 0.798 0.799 0.8 0.801 0.802 0.803 0.804 0.805 0.806 0.807 0.808 0.809 0.81 0.811 0.812 0.8130000000000001 0.8140000000000001 0.8150000000000001 0.8160000000000001 0.8170000000000001 0.8180000000000001 0.8190000000000001 0.8200000000000001 0.8210000000000001 0.8220000000000001 0.8230000000000001 0.8240000000000001 0.8250000000000001 0.8260000000000001 0.8270000000000001 0.8280000000000001 0.8290000000000001 0.8300000000000001 0.8310000000000001 0.8320000000000001 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.84 0.841 0.842 0.843 0.844 0.845 0.846 0.847 0.848 0.849 0.85 0.851 0.852 0.853 0.854 0.855 0.856 0.857 0.858 0.859 0.86 0.861 0.862 0.863 0.864 0.865 0.866 0.867 0.868 0.869 0.87 0.871 0.872 0.873 0.874 0.875 0.876 0.877 0.878 0.879 0.88 0.881 0.882 0.883 0.884 0.885 0.886 0.887 0.888 0.889 0.89 0.891 0.892 0.893 0.894 0.895 0.896 0.897 0.898 0.899 0.9 0.901 0.902 0.903 0.904 0.905 0.906 0.907 0.908 0.909 0.91 0.911 0.912 0.913 0.914 0.915 0.916 0.917 0.918 0.919 0.92 0.921 0.922 0.923 0.924 0.925 0.926 0.927 0.928 0.929 0.93 0.931 0.932 0.933 0.934 0.935 0.936 0.937 0.9380000000000001 0.9390000000000001 0.9400000000000001 0.9410000000000001 0.9420000000000001 0.9430000000000001 0.9440000000000001 0.9450000000000001 0.9460000000000001 0.9470000000000001 0.9480000000000001

</pre>

0.686 0.687 0.6880000000000001 0.6890000000000001 0.6900000000000001 0.6910000000000001 0.6920000000000001 0.6930000000000001 0.6940000000000001 0.6950000000000001 0.6960000000000001 0.6970000000000001 0.6980000000000001 0.6990000000000001 0.7000000000000001 0.7010000000000001 0.7020000000000001 0.7030000000000001 0.704 0.705 0.706 0.707 0.708 0.709 0.71 0.711 0.712 0.713 0.714 0.715 0.716 0.717 0.718 0.719 0.72 0.721 0.722 0.723 0.724 0.725 0.726 0.727 0.728 0.729 0.73 0.731 0.732 0.733 0.734 0.735 0.736 0.737 0.738 0.739 0.74 0.741 0.742 0.743 0.744 0.745 0.746 0.747 0.748 0.749 0.75 0.751 0.752 0.753 0.754 0.755 0.756 0.757 0.758 0.759 0.76 0.761 0.762 0.763 0.764 0.765 0.766 0.767 0.768 0.769 0.77 0.771 0.772 0.773 0.774 0.775 0.776 0.777 0.778 0.779 0.78 0.781 0.782 0.783 0.784 0.785 0.786 0.787 0.788 0.789 0.79 0.791 0.792 0.793 0.794 0.795 0.796 0.797 0.798 0.799 0.8 0.801 0.802 0.803 0.804 0.805 0.806 0.807 0.808 0.809 0.81 0.811 0.812 0.8130000000000001 0.8140000000000001 0.8150000000000001 0.8160000000000001 0.8170000000000001 0.8180000000000001 0.8190000000000001 0.8200000000000001 0.8210000000000001 0.8220000000000001 0.8230000000000001 0.8240000000000001 0.8250000000000001 0.8260000000000001 0.8270000000000001 0.8280000000000001 0.8290000000000001 0.8300000000000001 0.8310000000000001 0.8320000000000001 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.84 0.841 0.842 0.843 0.844 0.845 0.846 0.847 0.848 0.849 0.85 0.851 0.852 0.853 0.854 0.855 0.856 0.857 0.858 0.859 0.86 0.861 0.862 0.863 0.864 0.865 0.866 0.867 0.868 0.869 0.87 0.871 0.872 0.873 0.874 0.875 0.876 0.877 0.878 0.879 0.88 0.881 0.882 0.883 0.884 0.885 0.886 0.887 0.888 0.889 0.89 0.891 0.892 0.893 0.894 0.895 0.896 0.897 0.898 0.899 0.9 0.901 0.902 0.903 0.904 0.905 0.906 0.907 0.908 0.909 0.91 0.911 0.912 0.913 0.914 0.915 0.916 0.917 0.918 0.919 0.92 0.921 0.922 0.923 0.924 0.925 0.926 0.927 0.928 0.929 0.93 0.931 0.932 0.933 0.934 0.935 0.936 0.937 0.9380000000000001 0.9390000000000001 0.9400000000000001 0.9410000000000001 0.9420000000000001 0.9430000000000001 0.9440000000000001 0.9450000000000001 0.9460000000000001 0.9470000000000001 0.9480000000000001

end{sphinxVerbatim}

0.686 0.687 0.6880000000000001 0.6890000000000001 0.6900000000000001 0.6910000000000001 0.6920000000000001 0.6930000000000001 0.6940000000000001 0.6950000000000001 0.6960000000000001 0.6970000000000001 0.6980000000000001 0.6990000000000001 0.7000000000000001 0.7010000000000001 0.7020000000000001 0.7030000000000001 0.704 0.705 0.706 0.707 0.708 0.709 0.71 0.711 0.712 0.713 0.714 0.715 0.716 0.717 0.718 0.719 0.72 0.721 0.722 0.723 0.724 0.725 0.726 0.727 0.728 0.729 0.73 0.731 0.732 0.733 0.734 0.735 0.736 0.737 0.738 0.739 0.74 0.741 0.742 0.743 0.744 0.745 0.746 0.747 0.748 0.749 0.75 0.751 0.752 0.753 0.754 0.755 0.756 0.757 0.758 0.759 0.76 0.761 0.762 0.763 0.764 0.765 0.766 0.767 0.768 0.769 0.77 0.771 0.772 0.773 0.774 0.775 0.776 0.777 0.778 0.779 0.78 0.781 0.782 0.783 0.784 0.785 0.786 0.787 0.788 0.789 0.79 0.791 0.792 0.793 0.794 0.795 0.796 0.797 0.798 0.799 0.8 0.801 0.802 0.803 0.804 0.805 0.806 0.807 0.808 0.809 0.81 0.811 0.812 0.8130000000000001 0.8140000000000001 0.8150000000000001 0.8160000000000001 0.8170000000000001 0.8180000000000001 0.8190000000000001 0.8200000000000001 0.8210000000000001 0.8220000000000001 0.8230000000000001 0.8240000000000001 0.8250000000000001 0.8260000000000001 0.8270000000000001 0.8280000000000001 0.8290000000000001 0.8300000000000001 0.8310000000000001 0.8320000000000001 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.84 0.841 0.842 0.843 0.844 0.845 0.846 0.847 0.848 0.849 0.85 0.851 0.852 0.853 0.854 0.855 0.856 0.857 0.858 0.859 0.86 0.861 0.862 0.863 0.864 0.865 0.866 0.867 0.868 0.869 0.87 0.871 0.872 0.873 0.874 0.875 0.876 0.877 0.878 0.879 0.88 0.881 0.882 0.883 0.884 0.885 0.886 0.887 0.888 0.889 0.89 0.891 0.892 0.893 0.894 0.895 0.896 0.897 0.898 0.899 0.9 0.901 0.902 0.903 0.904 0.905 0.906 0.907 0.908 0.909 0.91 0.911 0.912 0.913 0.914 0.915 0.916 0.917 0.918 0.919 0.92 0.921 0.922 0.923 0.924 0.925 0.926 0.927 0.928 0.929 0.93 0.931 0.932 0.933 0.934 0.935 0.936 0.937 0.9380000000000001 0.9390000000000001 0.9400000000000001 0.9410000000000001 0.9420000000000001 0.9430000000000001 0.9440000000000001 0.9450000000000001 0.9460000000000001 0.9470000000000001 0.9480000000000001

more-to-come:

0.9490000000000001 0.9500000000000001 0.9510000000000001 0.9520000000000001 0.9530000000000001 0.9540000000000001 0.9550000000000001 0.9560000000000001 0.9570000000000001 0.9580000000000001 0.9590000000000001 0.96 0.961 0.962 0.963 0.964 0.965 0.966 0.967 0.968 0.969 0.97 0.971 0.972 0.973 0.974 0.975 0.976 0.977 0.978 0.979 0.98 0.981 0.982 0.983 0.984 0.985 0.986 0.987 0.988 0.989 0.99 0.991 0.992 0.993 0.994 0.995 0.996 0.997 0.998 0.999 1.0 1.0010000000000001 1.002 1.0030000000000001 1.004 1.0050000000000001 1.006 1.0070000000000001 1.008 1.0090000000000001 1.01 1.0110000000000001 1.012 1.0130000000000001 1.014 1.0150000000000001 1.016 1.0170000000000001 1.018 1.0190000000000001 1.02 1.0210000000000001 1.022 1.0230000000000001 1.024 1.025 1.026 1.027 1.028 1.029 1.03 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.04 1.041 1.042 1.043 1.044 1.045 1.046 1.047 1.048 1.049 1.05 1.051 1.052 1.053 1.054 1.055 1.056 1.057 1.058 1.059 1.06 1.061 1.062 1.063 1.064 1.065 1.066 1.067 1.068 1.069 1.07 1.071 1.072 1.073 1.074 1.075 1.076 1.077 1.078 1.079 1.08 1.081 1.082 1.083 1.084 1.085 1.086 1.087 1.088 1.089 1.09 1.091 1.092 1.093 1.094 1.095 1.096 1.097 1.098 1.099 1.1 1.101 1.102 1.103 1.104 1.105 1.106 1.107 1.108 1.109 1.11 1.111 1.112 1.113 1.114 1.115 1.116 1.117 1.118 1.119 1.12 1.121 1.122 1.123 1.124 1.125 1.1260000000000001 1.127 1.1280000000000001 1.129 1.1300000000000001 1.131 1.1320000000000001 1.133 1.1340000000000001 1.135 1.1360000000000001 1.137 1.1380000000000001 1.139 1.1400000000000001 1.141 1.1420000000000001 1.143 1.1440000000000001 1.145 1.1460000000000001 1.147 1.1480000000000001 1.149 1.1500000000000001 1.151 1.1520000000000001 1.153 1.154 1.155 1.156 1.157 1.158 1.159 1.16 1.161 1.162 1.163 1.164 1.165 1.166 1.167 1.168 1.169 1.17 1.171 1.172 1.173 1.174 1.175 1.176 1.177 1.178 1.179 1.18 1.181 1.182 1.183 1.184 1.185 1.186 1.187 1.188 1.189 1.19 1.191 1.192 1.193 1.194 1.195 1.196 1.197 1.198 1.199 1.2 1.201 1.202 1.203 1.204 1.205 1.206 1.207 1.208 1.209 1.21 1.211 1.212 1.213 1.214 1.215 1.216 1.217 1.218 1.219 1.22 1.221 1.222 1.223 1.224 1.225 1.226 1.227 1.228

</pre>

0.9490000000000001 0.9500000000000001 0.9510000000000001 0.9520000000000001 0.9530000000000001 0.9540000000000001 0.9550000000000001 0.9560000000000001 0.9570000000000001 0.9580000000000001 0.9590000000000001 0.96 0.961 0.962 0.963 0.964 0.965 0.966 0.967 0.968 0.969 0.97 0.971 0.972 0.973 0.974 0.975 0.976 0.977 0.978 0.979 0.98 0.981 0.982 0.983 0.984 0.985 0.986 0.987 0.988 0.989 0.99 0.991 0.992 0.993 0.994 0.995 0.996 0.997 0.998 0.999 1.0 1.0010000000000001 1.002 1.0030000000000001 1.004 1.0050000000000001 1.006 1.0070000000000001 1.008 1.0090000000000001 1.01 1.0110000000000001 1.012 1.0130000000000001 1.014 1.0150000000000001 1.016 1.0170000000000001 1.018 1.0190000000000001 1.02 1.0210000000000001 1.022 1.0230000000000001 1.024 1.025 1.026 1.027 1.028 1.029 1.03 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.04 1.041 1.042 1.043 1.044 1.045 1.046 1.047 1.048 1.049 1.05 1.051 1.052 1.053 1.054 1.055 1.056 1.057 1.058 1.059 1.06 1.061 1.062 1.063 1.064 1.065 1.066 1.067 1.068 1.069 1.07 1.071 1.072 1.073 1.074 1.075 1.076 1.077 1.078 1.079 1.08 1.081 1.082 1.083 1.084 1.085 1.086 1.087 1.088 1.089 1.09 1.091 1.092 1.093 1.094 1.095 1.096 1.097 1.098 1.099 1.1 1.101 1.102 1.103 1.104 1.105 1.106 1.107 1.108 1.109 1.11 1.111 1.112 1.113 1.114 1.115 1.116 1.117 1.118 1.119 1.12 1.121 1.122 1.123 1.124 1.125 1.1260000000000001 1.127 1.1280000000000001 1.129 1.1300000000000001 1.131 1.1320000000000001 1.133 1.1340000000000001 1.135 1.1360000000000001 1.137 1.1380000000000001 1.139 1.1400000000000001 1.141 1.1420000000000001 1.143 1.1440000000000001 1.145 1.1460000000000001 1.147 1.1480000000000001 1.149 1.1500000000000001 1.151 1.1520000000000001 1.153 1.154 1.155 1.156 1.157 1.158 1.159 1.16 1.161 1.162 1.163 1.164 1.165 1.166 1.167 1.168 1.169 1.17 1.171 1.172 1.173 1.174 1.175 1.176 1.177 1.178 1.179 1.18 1.181 1.182 1.183 1.184 1.185 1.186 1.187 1.188 1.189 1.19 1.191 1.192 1.193 1.194 1.195 1.196 1.197 1.198 1.199 1.2 1.201 1.202 1.203 1.204 1.205 1.206 1.207 1.208 1.209 1.21 1.211 1.212 1.213 1.214 1.215 1.216 1.217 1.218 1.219 1.22 1.221 1.222 1.223 1.224 1.225 1.226 1.227 1.228

end{sphinxVerbatim}

0.9490000000000001 0.9500000000000001 0.9510000000000001 0.9520000000000001 0.9530000000000001 0.9540000000000001 0.9550000000000001 0.9560000000000001 0.9570000000000001 0.9580000000000001 0.9590000000000001 0.96 0.961 0.962 0.963 0.964 0.965 0.966 0.967 0.968 0.969 0.97 0.971 0.972 0.973 0.974 0.975 0.976 0.977 0.978 0.979 0.98 0.981 0.982 0.983 0.984 0.985 0.986 0.987 0.988 0.989 0.99 0.991 0.992 0.993 0.994 0.995 0.996 0.997 0.998 0.999 1.0 1.0010000000000001 1.002 1.0030000000000001 1.004 1.0050000000000001 1.006 1.0070000000000001 1.008 1.0090000000000001 1.01 1.0110000000000001 1.012 1.0130000000000001 1.014 1.0150000000000001 1.016 1.0170000000000001 1.018 1.0190000000000001 1.02 1.0210000000000001 1.022 1.0230000000000001 1.024 1.025 1.026 1.027 1.028 1.029 1.03 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.04 1.041 1.042 1.043 1.044 1.045 1.046 1.047 1.048 1.049 1.05 1.051 1.052 1.053 1.054 1.055 1.056 1.057 1.058 1.059 1.06 1.061 1.062 1.063 1.064 1.065 1.066 1.067 1.068 1.069 1.07 1.071 1.072 1.073 1.074 1.075 1.076 1.077 1.078 1.079 1.08 1.081 1.082 1.083 1.084 1.085 1.086 1.087 1.088 1.089 1.09 1.091 1.092 1.093 1.094 1.095 1.096 1.097 1.098 1.099 1.1 1.101 1.102 1.103 1.104 1.105 1.106 1.107 1.108 1.109 1.11 1.111 1.112 1.113 1.114 1.115 1.116 1.117 1.118 1.119 1.12 1.121 1.122 1.123 1.124 1.125 1.1260000000000001 1.127 1.1280000000000001 1.129 1.1300000000000001 1.131 1.1320000000000001 1.133 1.1340000000000001 1.135 1.1360000000000001 1.137 1.1380000000000001 1.139 1.1400000000000001 1.141 1.1420000000000001 1.143 1.1440000000000001 1.145 1.1460000000000001 1.147 1.1480000000000001 1.149 1.1500000000000001 1.151 1.1520000000000001 1.153 1.154 1.155 1.156 1.157 1.158 1.159 1.16 1.161 1.162 1.163 1.164 1.165 1.166 1.167 1.168 1.169 1.17 1.171 1.172 1.173 1.174 1.175 1.176 1.177 1.178 1.179 1.18 1.181 1.182 1.183 1.184 1.185 1.186 1.187 1.188 1.189 1.19 1.191 1.192 1.193 1.194 1.195 1.196 1.197 1.198 1.199 1.2 1.201 1.202 1.203 1.204 1.205 1.206 1.207 1.208 1.209 1.21 1.211 1.212 1.213 1.214 1.215 1.216 1.217 1.218 1.219 1.22 1.221 1.222 1.223 1.224 1.225 1.226 1.227 1.228

more-to-come:

1.229 1.23 1.231 1.232 1.233 1.234 1.235 1.236 1.237 1.238 1.239 1.24 1.241 1.242 1.243 1.244 1.245 1.246 1.247 1.248 1.249 1.25 1.2510000000000001 1.252 1.2530000000000001 1.254 1.2550000000000001 1.256 1.2570000000000001 1.258 1.2590000000000001 1.26 1.2610000000000001 1.262 1.2630000000000001 1.264 1.2650000000000001 1.266 1.2670000000000001 1.268 1.2690000000000001 1.27 1.2710000000000001 1.272 1.2730000000000001 1.274 1.2750000000000001 1.276 1.2770000000000001 1.278 1.2790000000000001 1.28 1.281 1.282 1.283 1.284 1.285 1.286 1.287 1.288 1.289 1.29 1.291 1.292 1.293 1.294 1.295 1.296 1.297 1.298 1.299 1.3 1.301 1.302 1.303 1.304 1.305 1.306 1.307 1.308 1.309 1.31 1.311 1.312 1.313 1.314 1.315 1.316 1.317 1.318 1.319 1.32 1.321 1.322 1.323 1.324 1.325 1.326 1.327 1.328 1.329 1.33 1.331 1.332 1.333 1.334 1.335 1.336 1.337 1.338 1.339 1.34 1.341 1.342 1.343 1.344 1.345 1.346 1.347 1.348 1.349 1.35 1.351 1.352 1.353 1.354 1.355 1.356 1.357 1.358 1.359 1.36 1.361 1.362 1.363 1.364 1.365 1.366 1.367 1.368 1.369 1.37 1.371 1.372 1.373 1.374 1.375 1.3760000000000001 1.377 1.3780000000000001 1.379 1.3800000000000001 1.381 1.3820000000000001 1.383 1.3840000000000001 1.385 1.3860000000000001 1.387 1.3880000000000001 1.389 1.3900000000000001 1.391 1.3920000000000001 1.393 1.3940000000000001 1.395 1.3960000000000001 1.397 1.3980000000000001 1.399 1.4000000000000001 1.401 1.4020000000000001 1.403 1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001

</pre>

1.229 1.23 1.231 1.232 1.233 1.234 1.235 1.236 1.237 1.238 1.239 1.24 1.241 1.242 1.243 1.244 1.245 1.246 1.247 1.248 1.249 1.25 1.2510000000000001 1.252 1.2530000000000001 1.254 1.2550000000000001 1.256 1.2570000000000001 1.258 1.2590000000000001 1.26 1.2610000000000001 1.262 1.2630000000000001 1.264 1.2650000000000001 1.266 1.2670000000000001 1.268 1.2690000000000001 1.27 1.2710000000000001 1.272 1.2730000000000001 1.274 1.2750000000000001 1.276 1.2770000000000001 1.278 1.2790000000000001 1.28 1.281 1.282 1.283 1.284 1.285 1.286 1.287 1.288 1.289 1.29 1.291 1.292 1.293 1.294 1.295 1.296 1.297 1.298 1.299 1.3 1.301 1.302 1.303 1.304 1.305 1.306 1.307 1.308 1.309 1.31 1.311 1.312 1.313 1.314 1.315 1.316 1.317 1.318 1.319 1.32 1.321 1.322 1.323 1.324 1.325 1.326 1.327 1.328 1.329 1.33 1.331 1.332 1.333 1.334 1.335 1.336 1.337 1.338 1.339 1.34 1.341 1.342 1.343 1.344 1.345 1.346 1.347 1.348 1.349 1.35 1.351 1.352 1.353 1.354 1.355 1.356 1.357 1.358 1.359 1.36 1.361 1.362 1.363 1.364 1.365 1.366 1.367 1.368 1.369 1.37 1.371 1.372 1.373 1.374 1.375 1.3760000000000001 1.377 1.3780000000000001 1.379 1.3800000000000001 1.381 1.3820000000000001 1.383 1.3840000000000001 1.385 1.3860000000000001 1.387 1.3880000000000001 1.389 1.3900000000000001 1.391 1.3920000000000001 1.393 1.3940000000000001 1.395 1.3960000000000001 1.397 1.3980000000000001 1.399 1.4000000000000001 1.401 1.4020000000000001 1.403 1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001

end{sphinxVerbatim}

1.229 1.23 1.231 1.232 1.233 1.234 1.235 1.236 1.237 1.238 1.239 1.24 1.241 1.242 1.243 1.244 1.245 1.246 1.247 1.248 1.249 1.25 1.2510000000000001 1.252 1.2530000000000001 1.254 1.2550000000000001 1.256 1.2570000000000001 1.258 1.2590000000000001 1.26 1.2610000000000001 1.262 1.2630000000000001 1.264 1.2650000000000001 1.266 1.2670000000000001 1.268 1.2690000000000001 1.27 1.2710000000000001 1.272 1.2730000000000001 1.274 1.2750000000000001 1.276 1.2770000000000001 1.278 1.2790000000000001 1.28 1.281 1.282 1.283 1.284 1.285 1.286 1.287 1.288 1.289 1.29 1.291 1.292 1.293 1.294 1.295 1.296 1.297 1.298 1.299 1.3 1.301 1.302 1.303 1.304 1.305 1.306 1.307 1.308 1.309 1.31 1.311 1.312 1.313 1.314 1.315 1.316 1.317 1.318 1.319 1.32 1.321 1.322 1.323 1.324 1.325 1.326 1.327 1.328 1.329 1.33 1.331 1.332 1.333 1.334 1.335 1.336 1.337 1.338 1.339 1.34 1.341 1.342 1.343 1.344 1.345 1.346 1.347 1.348 1.349 1.35 1.351 1.352 1.353 1.354 1.355 1.356 1.357 1.358 1.359 1.36 1.361 1.362 1.363 1.364 1.365 1.366 1.367 1.368 1.369 1.37 1.371 1.372 1.373 1.374 1.375 1.3760000000000001 1.377 1.3780000000000001 1.379 1.3800000000000001 1.381 1.3820000000000001 1.383 1.3840000000000001 1.385 1.3860000000000001 1.387 1.3880000000000001 1.389 1.3900000000000001 1.391 1.3920000000000001 1.393 1.3940000000000001 1.395 1.3960000000000001 1.397 1.3980000000000001 1.399 1.4000000000000001 1.401 1.4020000000000001 1.403 1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001

more-to-come:

1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655 1.6560000000000001 1.657 1.6580000000000001 1.659 1.6600000000000001 1.661 1.6620000000000001 1.663 1.6640000000000001 1.665 1.666 1.667 1.668 1.669 1.67 1.671 1.672 1.673 1.674 1.675 1.676 1.677 1.678 1.679 1.68 1.681 1.682 1.683 1.684 1.685 1.686 1.687 1.688 1.689 1.69 1.691 1.692 1.693 1.694 1.695 1.696 1.697 1.698 1.699 1.7 1.701 1.702 1.703 1.704 1.705 1.706 1.707 1.708 1.709 1.71 1.711 1.712 1.713 1.714 1.715 1.716 1.717 1.718 1.719 1.72 1.721 1.722 1.723 1.724 1.725 1.726 1.727 1.728 1.729 1.73 1.731 1.732 1.733 1.734 1.735 1.736 1.737 1.738 1.739 1.74 1.741 1.742 1.743 1.744 1.745 1.746 1.747 1.748 1.749 1.75 1.7510000000000001 1.752 1.7530000000000001 1.754 1.7550000000000001 1.756 1.7570000000000001 1.758 1.7590000000000001 1.76 1.7610000000000001 1.762 1.7630000000000001 1.764 1.7650000000000001 1.766 1.7670000000000001 1.768 1.7690000000000001 1.77 1.7710000000000001 1.772 1.7730000000000001 1.774 1.7750000000000001 1.776 1.7770000000000001 1.778 1.7790000000000001 1.78 1.7810000000000001 1.782 1.7830000000000001 1.784 1.7850000000000001 1.786 1.7870000000000001 1.788 1.7890000000000001 1.79

</pre>

1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655 1.6560000000000001 1.657 1.6580000000000001 1.659 1.6600000000000001 1.661 1.6620000000000001 1.663 1.6640000000000001 1.665 1.666 1.667 1.668 1.669 1.67 1.671 1.672 1.673 1.674 1.675 1.676 1.677 1.678 1.679 1.68 1.681 1.682 1.683 1.684 1.685 1.686 1.687 1.688 1.689 1.69 1.691 1.692 1.693 1.694 1.695 1.696 1.697 1.698 1.699 1.7 1.701 1.702 1.703 1.704 1.705 1.706 1.707 1.708 1.709 1.71 1.711 1.712 1.713 1.714 1.715 1.716 1.717 1.718 1.719 1.72 1.721 1.722 1.723 1.724 1.725 1.726 1.727 1.728 1.729 1.73 1.731 1.732 1.733 1.734 1.735 1.736 1.737 1.738 1.739 1.74 1.741 1.742 1.743 1.744 1.745 1.746 1.747 1.748 1.749 1.75 1.7510000000000001 1.752 1.7530000000000001 1.754 1.7550000000000001 1.756 1.7570000000000001 1.758 1.7590000000000001 1.76 1.7610000000000001 1.762 1.7630000000000001 1.764 1.7650000000000001 1.766 1.7670000000000001 1.768 1.7690000000000001 1.77 1.7710000000000001 1.772 1.7730000000000001 1.774 1.7750000000000001 1.776 1.7770000000000001 1.778 1.7790000000000001 1.78 1.7810000000000001 1.782 1.7830000000000001 1.784 1.7850000000000001 1.786 1.7870000000000001 1.788 1.7890000000000001 1.79

end{sphinxVerbatim}

1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655 1.6560000000000001 1.657 1.6580000000000001 1.659 1.6600000000000001 1.661 1.6620000000000001 1.663 1.6640000000000001 1.665 1.666 1.667 1.668 1.669 1.67 1.671 1.672 1.673 1.674 1.675 1.676 1.677 1.678 1.679 1.68 1.681 1.682 1.683 1.684 1.685 1.686 1.687 1.688 1.689 1.69 1.691 1.692 1.693 1.694 1.695 1.696 1.697 1.698 1.699 1.7 1.701 1.702 1.703 1.704 1.705 1.706 1.707 1.708 1.709 1.71 1.711 1.712 1.713 1.714 1.715 1.716 1.717 1.718 1.719 1.72 1.721 1.722 1.723 1.724 1.725 1.726 1.727 1.728 1.729 1.73 1.731 1.732 1.733 1.734 1.735 1.736 1.737 1.738 1.739 1.74 1.741 1.742 1.743 1.744 1.745 1.746 1.747 1.748 1.749 1.75 1.7510000000000001 1.752 1.7530000000000001 1.754 1.7550000000000001 1.756 1.7570000000000001 1.758 1.7590000000000001 1.76 1.7610000000000001 1.762 1.7630000000000001 1.764 1.7650000000000001 1.766 1.7670000000000001 1.768 1.7690000000000001 1.77 1.7710000000000001 1.772 1.7730000000000001 1.774 1.7750000000000001 1.776 1.7770000000000001 1.778 1.7790000000000001 1.78 1.7810000000000001 1.782 1.7830000000000001 1.784 1.7850000000000001 1.786 1.7870000000000001 1.788 1.7890000000000001 1.79

more-to-come:

1.7910000000000001 1.792 1.793 1.794 1.795 1.796 1.797 1.798 1.799 1.8 1.801 1.802 1.803 1.804 1.805 1.806 1.807 1.808 1.809 1.81 1.811 1.812 1.813 1.814 1.815 1.816 1.817 1.818 1.819 1.82 1.821 1.822 1.823 1.824 1.825 1.826 1.827 1.828 1.829 1.83 1.831 1.832 1.833 1.834 1.835 1.836 1.837 1.838 1.839 1.84 1.841 1.842 1.843 1.844 1.845 1.846 1.847 1.848 1.849 1.85 1.851 1.852 1.853 1.854 1.855 1.856 1.857 1.858 1.859 1.86 1.861 1.862 1.863 1.864 1.865 1.866 1.867 1.868 1.869 1.87 1.871 1.872 1.873 1.874 1.875 1.8760000000000001 1.877 1.8780000000000001 1.879 1.8800000000000001 1.881 1.8820000000000001 1.883 1.8840000000000001 1.885 1.8860000000000001 1.887 1.8880000000000001 1.889 1.8900000000000001 1.891 1.8920000000000001 1.893 1.8940000000000001 1.895 1.8960000000000001 1.897 1.8980000000000001 1.899 1.9000000000000001 1.901 1.9020000000000001 1.903 1.9040000000000001 1.905 1.9060000000000001 1.907 1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999

</pre>

1.7910000000000001 1.792 1.793 1.794 1.795 1.796 1.797 1.798 1.799 1.8 1.801 1.802 1.803 1.804 1.805 1.806 1.807 1.808 1.809 1.81 1.811 1.812 1.813 1.814 1.815 1.816 1.817 1.818 1.819 1.82 1.821 1.822 1.823 1.824 1.825 1.826 1.827 1.828 1.829 1.83 1.831 1.832 1.833 1.834 1.835 1.836 1.837 1.838 1.839 1.84 1.841 1.842 1.843 1.844 1.845 1.846 1.847 1.848 1.849 1.85 1.851 1.852 1.853 1.854 1.855 1.856 1.857 1.858 1.859 1.86 1.861 1.862 1.863 1.864 1.865 1.866 1.867 1.868 1.869 1.87 1.871 1.872 1.873 1.874 1.875 1.8760000000000001 1.877 1.8780000000000001 1.879 1.8800000000000001 1.881 1.8820000000000001 1.883 1.8840000000000001 1.885 1.8860000000000001 1.887 1.8880000000000001 1.889 1.8900000000000001 1.891 1.8920000000000001 1.893 1.8940000000000001 1.895 1.8960000000000001 1.897 1.8980000000000001 1.899 1.9000000000000001 1.901 1.9020000000000001 1.903 1.9040000000000001 1.905 1.9060000000000001 1.907 1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999

end{sphinxVerbatim}

1.7910000000000001 1.792 1.793 1.794 1.795 1.796 1.797 1.798 1.799 1.8 1.801 1.802 1.803 1.804 1.805 1.806 1.807 1.808 1.809 1.81 1.811 1.812 1.813 1.814 1.815 1.816 1.817 1.818 1.819 1.82 1.821 1.822 1.823 1.824 1.825 1.826 1.827 1.828 1.829 1.83 1.831 1.832 1.833 1.834 1.835 1.836 1.837 1.838 1.839 1.84 1.841 1.842 1.843 1.844 1.845 1.846 1.847 1.848 1.849 1.85 1.851 1.852 1.853 1.854 1.855 1.856 1.857 1.858 1.859 1.86 1.861 1.862 1.863 1.864 1.865 1.866 1.867 1.868 1.869 1.87 1.871 1.872 1.873 1.874 1.875 1.8760000000000001 1.877 1.8780000000000001 1.879 1.8800000000000001 1.881 1.8820000000000001 1.883 1.8840000000000001 1.885 1.8860000000000001 1.887 1.8880000000000001 1.889 1.8900000000000001 1.891 1.8920000000000001 1.893 1.8940000000000001 1.895 1.8960000000000001 1.897 1.8980000000000001 1.899 1.9000000000000001 1.901 1.9020000000000001 1.903 1.9040000000000001 1.905 1.9060000000000001 1.907 1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999

CPU times: user 1.65 s, sys: 23.4 ms, total: 1.67 s
Wall time: 5.4 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:

\[{M^\ast} u^{n+1}_0 = M u^n - {M^\ast} u^{n+1}_D\]
[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)
more-to-come:

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009000000000000001 0.01 0.011 0.012 0.013000000000000001 0.014 0.015 0.016 0.017 0.018000000000000002 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026000000000000002 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036000000000000004 0.037 0.038 0.039 0.04 0.041 0.042 0.043000000000000003 0.044 0.045 0.046 0.047 0.048 0.049 0.05 0.051000000000000004 0.052000000000000005 0.053 0.054 0.055 0.056 0.057 0.058 0.059000000000000004 0.06 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.07100000000000001 0.07200000000000001 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084 0.085 0.08600000000000001 0.08700000000000001 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096 0.097 0.098 0.099 0.1 0.101 0.10200000000000001 0.10300000000000001 0.10400000000000001 0.105 0.106 0.107 0.108 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.11800000000000001 0.11900000000000001 0.12 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.129 0.13 0.131 0.132 0.133 0.134 0.135 0.136 0.137 0.138 0.139 0.14 0.14100000000000001 0.14200000000000002 0.14300000000000002 0.14400000000000002 0.145 0.146 0.147 0.148 0.149 0.15 0.151 0.152 0.153 0.154 0.155 0.156 0.157 0.158 0.159 0.16 0.161 0.162 0.163 0.164 0.165 0.166 0.167 0.168 0.169 0.17 0.171 0.17200000000000001 0.17300000000000001 0.17400000000000002 0.17500000000000002 0.176 0.177 0.178 0.179 0.18 0.181 0.182 0.183 0.184 0.185 0.186 0.187 0.188 0.189 0.19 0.191 0.192 0.193 0.194 0.195 0.196 0.197 0.198 0.199 0.2 0.201 0.202 0.203 0.20400000000000001 0.20500000000000002 0.20600000000000002 0.20700000000000002 0.20800000000000002 0.209 0.21 0.211 0.212 0.213 0.214 0.215 0.216 0.217 0.218 0.219 0.22 0.221 0.222 0.223 0.224 0.225 0.226 0.227 0.228 0.229 0.23 0.231 0.232 0.233 0.234 0.23500000000000001 0.23600000000000002 0.23700000000000002 0.23800000000000002 0.23900000000000002 0.24 0.241 0.242 0.243 0.244 0.245 0.246 0.247 0.248 0.249 0.25 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259 0.26 0.261 0.262 0.263 0.264 0.265 0.266 0.267 0.268 0.269 0.27 0.271 0.272 0.273 0.274 0.275 0.276 0.277 0.278 0.279 0.28 0.281 0.28200000000000003 0.28300000000000003 0.28400000000000003 0.28500000000000003 0.28600000000000003 0.28700000000000003 0.28800000000000003 0.289 0.29 0.291 0.292 0.293 0.294 0.295 0.296 0.297 0.298 0.299 0.3 0.301 0.302 0.303 0.304 0.305 0.306 0.307 0.308 0.309 0.31 0.311 0.312 0.313 0.314 0.315 0.316 0.317 0.318

</pre>

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009000000000000001 0.01 0.011 0.012 0.013000000000000001 0.014 0.015 0.016 0.017 0.018000000000000002 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026000000000000002 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036000000000000004 0.037 0.038 0.039 0.04 0.041 0.042 0.043000000000000003 0.044 0.045 0.046 0.047 0.048 0.049 0.05 0.051000000000000004 0.052000000000000005 0.053 0.054 0.055 0.056 0.057 0.058 0.059000000000000004 0.06 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.07100000000000001 0.07200000000000001 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084 0.085 0.08600000000000001 0.08700000000000001 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096 0.097 0.098 0.099 0.1 0.101 0.10200000000000001 0.10300000000000001 0.10400000000000001 0.105 0.106 0.107 0.108 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.11800000000000001 0.11900000000000001 0.12 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.129 0.13 0.131 0.132 0.133 0.134 0.135 0.136 0.137 0.138 0.139 0.14 0.14100000000000001 0.14200000000000002 0.14300000000000002 0.14400000000000002 0.145 0.146 0.147 0.148 0.149 0.15 0.151 0.152 0.153 0.154 0.155 0.156 0.157 0.158 0.159 0.16 0.161 0.162 0.163 0.164 0.165 0.166 0.167 0.168 0.169 0.17 0.171 0.17200000000000001 0.17300000000000001 0.17400000000000002 0.17500000000000002 0.176 0.177 0.178 0.179 0.18 0.181 0.182 0.183 0.184 0.185 0.186 0.187 0.188 0.189 0.19 0.191 0.192 0.193 0.194 0.195 0.196 0.197 0.198 0.199 0.2 0.201 0.202 0.203 0.20400000000000001 0.20500000000000002 0.20600000000000002 0.20700000000000002 0.20800000000000002 0.209 0.21 0.211 0.212 0.213 0.214 0.215 0.216 0.217 0.218 0.219 0.22 0.221 0.222 0.223 0.224 0.225 0.226 0.227 0.228 0.229 0.23 0.231 0.232 0.233 0.234 0.23500000000000001 0.23600000000000002 0.23700000000000002 0.23800000000000002 0.23900000000000002 0.24 0.241 0.242 0.243 0.244 0.245 0.246 0.247 0.248 0.249 0.25 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259 0.26 0.261 0.262 0.263 0.264 0.265 0.266 0.267 0.268 0.269 0.27 0.271 0.272 0.273 0.274 0.275 0.276 0.277 0.278 0.279 0.28 0.281 0.28200000000000003 0.28300000000000003 0.28400000000000003 0.28500000000000003 0.28600000000000003 0.28700000000000003 0.28800000000000003 0.289 0.29 0.291 0.292 0.293 0.294 0.295 0.296 0.297 0.298 0.299 0.3 0.301 0.302 0.303 0.304 0.305 0.306 0.307 0.308 0.309 0.31 0.311 0.312 0.313 0.314 0.315 0.316 0.317 0.318

end{sphinxVerbatim}

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009000000000000001 0.01 0.011 0.012 0.013000000000000001 0.014 0.015 0.016 0.017 0.018000000000000002 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026000000000000002 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036000000000000004 0.037 0.038 0.039 0.04 0.041 0.042 0.043000000000000003 0.044 0.045 0.046 0.047 0.048 0.049 0.05 0.051000000000000004 0.052000000000000005 0.053 0.054 0.055 0.056 0.057 0.058 0.059000000000000004 0.06 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.07100000000000001 0.07200000000000001 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084 0.085 0.08600000000000001 0.08700000000000001 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096 0.097 0.098 0.099 0.1 0.101 0.10200000000000001 0.10300000000000001 0.10400000000000001 0.105 0.106 0.107 0.108 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.11800000000000001 0.11900000000000001 0.12 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.129 0.13 0.131 0.132 0.133 0.134 0.135 0.136 0.137 0.138 0.139 0.14 0.14100000000000001 0.14200000000000002 0.14300000000000002 0.14400000000000002 0.145 0.146 0.147 0.148 0.149 0.15 0.151 0.152 0.153 0.154 0.155 0.156 0.157 0.158 0.159 0.16 0.161 0.162 0.163 0.164 0.165 0.166 0.167 0.168 0.169 0.17 0.171 0.17200000000000001 0.17300000000000001 0.17400000000000002 0.17500000000000002 0.176 0.177 0.178 0.179 0.18 0.181 0.182 0.183 0.184 0.185 0.186 0.187 0.188 0.189 0.19 0.191 0.192 0.193 0.194 0.195 0.196 0.197 0.198 0.199 0.2 0.201 0.202 0.203 0.20400000000000001 0.20500000000000002 0.20600000000000002 0.20700000000000002 0.20800000000000002 0.209 0.21 0.211 0.212 0.213 0.214 0.215 0.216 0.217 0.218 0.219 0.22 0.221 0.222 0.223 0.224 0.225 0.226 0.227 0.228 0.229 0.23 0.231 0.232 0.233 0.234 0.23500000000000001 0.23600000000000002 0.23700000000000002 0.23800000000000002 0.23900000000000002 0.24 0.241 0.242 0.243 0.244 0.245 0.246 0.247 0.248 0.249 0.25 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259 0.26 0.261 0.262 0.263 0.264 0.265 0.266 0.267 0.268 0.269 0.27 0.271 0.272 0.273 0.274 0.275 0.276 0.277 0.278 0.279 0.28 0.281 0.28200000000000003 0.28300000000000003 0.28400000000000003 0.28500000000000003 0.28600000000000003 0.28700000000000003 0.28800000000000003 0.289 0.29 0.291 0.292 0.293 0.294 0.295 0.296 0.297 0.298 0.299 0.3 0.301 0.302 0.303 0.304 0.305 0.306 0.307 0.308 0.309 0.31 0.311 0.312 0.313 0.314 0.315 0.316 0.317 0.318

more-to-come:

0.319 0.32 0.321 0.322 0.323 0.324 0.325 0.326 0.327 0.328 0.329 0.33 0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339 0.34 0.341 0.342 0.343 0.34400000000000003 0.34500000000000003 0.34600000000000003 0.34700000000000003 0.34800000000000003 0.34900000000000003 0.35000000000000003 0.35100000000000003 0.352 0.353 0.354 0.355 0.356 0.357 0.358 0.359 0.36 0.361 0.362 0.363 0.364 0.365 0.366 0.367 0.368 0.369 0.37 0.371 0.372 0.373 0.374 0.375 0.376 0.377 0.378 0.379 0.38 0.381 0.382 0.383 0.384 0.385 0.386 0.387 0.388 0.389 0.39 0.391 0.392 0.393 0.394 0.395 0.396 0.397 0.398 0.399 0.4 0.401 0.402 0.403 0.404 0.405 0.406 0.40700000000000003 0.40800000000000003 0.40900000000000003 0.41000000000000003 0.41100000000000003 0.41200000000000003 0.41300000000000003 0.41400000000000003 0.41500000000000004 0.41600000000000004 0.417 0.418 0.419 0.42 0.421 0.422 0.423 0.424 0.425 0.426 0.427 0.428 0.429 0.43 0.431 0.432 0.433 0.434 0.435

</pre>

0.319 0.32 0.321 0.322 0.323 0.324 0.325 0.326 0.327 0.328 0.329 0.33 0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339 0.34 0.341 0.342 0.343 0.34400000000000003 0.34500000000000003 0.34600000000000003 0.34700000000000003 0.34800000000000003 0.34900000000000003 0.35000000000000003 0.35100000000000003 0.352 0.353 0.354 0.355 0.356 0.357 0.358 0.359 0.36 0.361 0.362 0.363 0.364 0.365 0.366 0.367 0.368 0.369 0.37 0.371 0.372 0.373 0.374 0.375 0.376 0.377 0.378 0.379 0.38 0.381 0.382 0.383 0.384 0.385 0.386 0.387 0.388 0.389 0.39 0.391 0.392 0.393 0.394 0.395 0.396 0.397 0.398 0.399 0.4 0.401 0.402 0.403 0.404 0.405 0.406 0.40700000000000003 0.40800000000000003 0.40900000000000003 0.41000000000000003 0.41100000000000003 0.41200000000000003 0.41300000000000003 0.41400000000000003 0.41500000000000004 0.41600000000000004 0.417 0.418 0.419 0.42 0.421 0.422 0.423 0.424 0.425 0.426 0.427 0.428 0.429 0.43 0.431 0.432 0.433 0.434 0.435

end{sphinxVerbatim}

0.319 0.32 0.321 0.322 0.323 0.324 0.325 0.326 0.327 0.328 0.329 0.33 0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339 0.34 0.341 0.342 0.343 0.34400000000000003 0.34500000000000003 0.34600000000000003 0.34700000000000003 0.34800000000000003 0.34900000000000003 0.35000000000000003 0.35100000000000003 0.352 0.353 0.354 0.355 0.356 0.357 0.358 0.359 0.36 0.361 0.362 0.363 0.364 0.365 0.366 0.367 0.368 0.369 0.37 0.371 0.372 0.373 0.374 0.375 0.376 0.377 0.378 0.379 0.38 0.381 0.382 0.383 0.384 0.385 0.386 0.387 0.388 0.389 0.39 0.391 0.392 0.393 0.394 0.395 0.396 0.397 0.398 0.399 0.4 0.401 0.402 0.403 0.404 0.405 0.406 0.40700000000000003 0.40800000000000003 0.40900000000000003 0.41000000000000003 0.41100000000000003 0.41200000000000003 0.41300000000000003 0.41400000000000003 0.41500000000000004 0.41600000000000004 0.417 0.418 0.419 0.42 0.421 0.422 0.423 0.424 0.425 0.426 0.427 0.428 0.429 0.43 0.431 0.432 0.433 0.434 0.435

more-to-come:

0.436 0.437 0.438 0.439 0.44 0.441 0.442 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.45 0.451 0.452 0.453 0.454 0.455 0.456 0.457 0.458 0.459 0.46 0.461 0.462 0.463 0.464 0.465 0.466 0.467 0.468 0.46900000000000003 0.47000000000000003 0.47100000000000003 0.47200000000000003 0.47300000000000003 0.47400000000000003 0.47500000000000003 0.47600000000000003 0.47700000000000004 0.47800000000000004 0.47900000000000004 0.48 0.481 0.482 0.483 0.484 0.485 0.486 0.487 0.488 0.489 0.49 0.491 0.492 0.493 0.494 0.495 0.496 0.497 0.498 0.499 0.5 0.501 0.502 0.503 0.504 0.505 0.506 0.507 0.508 0.509 0.51 0.511 0.512 0.513 0.514 0.515 0.516 0.517 0.518 0.519 0.52 0.521 0.522 0.523 0.524 0.525 0.526 0.527 0.528 0.529 0.53 0.531 0.532 0.533 0.534 0.535 0.536 0.537 0.538 0.539 0.54 0.541 0.542 0.543 0.544 0.545 0.546 0.547 0.548 0.549 0.55 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 0.56 0.561 0.562 0.5630000000000001 0.5640000000000001 0.5650000000000001 0.5660000000000001 0.5670000000000001 0.5680000000000001 0.5690000000000001 0.5700000000000001 0.5710000000000001 0.5720000000000001 0.5730000000000001 0.5740000000000001 0.5750000000000001 0.5760000000000001 0.577 0.578 0.579 0.58 0.581 0.582 0.583 0.584 0.585 0.586 0.587 0.588 0.589 0.59 0.591 0.592 0.593 0.594 0.595 0.596 0.597 0.598 0.599 0.6 0.601 0.602 0.603 0.604 0.605 0.606 0.607 0.608 0.609 0.61 0.611 0.612 0.613 0.614 0.615 0.616 0.617 0.618 0.619 0.62 0.621 0.622 0.623 0.624 0.625 0.626 0.627 0.628 0.629 0.63 0.631 0.632 0.633 0.634 0.635 0.636 0.637 0.638 0.639 0.64 0.641 0.642 0.643 0.644 0.645 0.646 0.647 0.648 0.649 0.65 0.651 0.652 0.653 0.654 0.655 0.656 0.657 0.658 0.659 0.66 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668 0.669 0.67 0.671 0.672 0.673 0.674 0.675 0.676 0.677 0.678 0.679 0.68 0.681 0.682 0.683 0.684 0.685 0.686 0.687 0.6880000000000001 0.6890000000000001 0.6900000000000001 0.6910000000000001 0.6920000000000001 0.6930000000000001 0.6940000000000001 0.6950000000000001 0.6960000000000001 0.6970000000000001 0.6980000000000001 0.6990000000000001 0.7000000000000001 0.7010000000000001 0.7020000000000001 0.7030000000000001 0.704 0.705 0.706 0.707 0.708 0.709 0.71 0.711 0.712 0.713 0.714 0.715 0.716 0.717 0.718 0.719 0.72 0.721 0.722 0.723 0.724 0.725 0.726 0.727 0.728 0.729 0.73 0.731 0.732 0.733 0.734 0.735 0.736 0.737 0.738 0.739 0.74 0.741 0.742 0.743 0.744 0.745 0.746 0.747 0.748 0.749 0.75 0.751 0.752 0.753 0.754 0.755 0.756

</pre>

0.436 0.437 0.438 0.439 0.44 0.441 0.442 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.45 0.451 0.452 0.453 0.454 0.455 0.456 0.457 0.458 0.459 0.46 0.461 0.462 0.463 0.464 0.465 0.466 0.467 0.468 0.46900000000000003 0.47000000000000003 0.47100000000000003 0.47200000000000003 0.47300000000000003 0.47400000000000003 0.47500000000000003 0.47600000000000003 0.47700000000000004 0.47800000000000004 0.47900000000000004 0.48 0.481 0.482 0.483 0.484 0.485 0.486 0.487 0.488 0.489 0.49 0.491 0.492 0.493 0.494 0.495 0.496 0.497 0.498 0.499 0.5 0.501 0.502 0.503 0.504 0.505 0.506 0.507 0.508 0.509 0.51 0.511 0.512 0.513 0.514 0.515 0.516 0.517 0.518 0.519 0.52 0.521 0.522 0.523 0.524 0.525 0.526 0.527 0.528 0.529 0.53 0.531 0.532 0.533 0.534 0.535 0.536 0.537 0.538 0.539 0.54 0.541 0.542 0.543 0.544 0.545 0.546 0.547 0.548 0.549 0.55 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 0.56 0.561 0.562 0.5630000000000001 0.5640000000000001 0.5650000000000001 0.5660000000000001 0.5670000000000001 0.5680000000000001 0.5690000000000001 0.5700000000000001 0.5710000000000001 0.5720000000000001 0.5730000000000001 0.5740000000000001 0.5750000000000001 0.5760000000000001 0.577 0.578 0.579 0.58 0.581 0.582 0.583 0.584 0.585 0.586 0.587 0.588 0.589 0.59 0.591 0.592 0.593 0.594 0.595 0.596 0.597 0.598 0.599 0.6 0.601 0.602 0.603 0.604 0.605 0.606 0.607 0.608 0.609 0.61 0.611 0.612 0.613 0.614 0.615 0.616 0.617 0.618 0.619 0.62 0.621 0.622 0.623 0.624 0.625 0.626 0.627 0.628 0.629 0.63 0.631 0.632 0.633 0.634 0.635 0.636 0.637 0.638 0.639 0.64 0.641 0.642 0.643 0.644 0.645 0.646 0.647 0.648 0.649 0.65 0.651 0.652 0.653 0.654 0.655 0.656 0.657 0.658 0.659 0.66 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668 0.669 0.67 0.671 0.672 0.673 0.674 0.675 0.676 0.677 0.678 0.679 0.68 0.681 0.682 0.683 0.684 0.685 0.686 0.687 0.6880000000000001 0.6890000000000001 0.6900000000000001 0.6910000000000001 0.6920000000000001 0.6930000000000001 0.6940000000000001 0.6950000000000001 0.6960000000000001 0.6970000000000001 0.6980000000000001 0.6990000000000001 0.7000000000000001 0.7010000000000001 0.7020000000000001 0.7030000000000001 0.704 0.705 0.706 0.707 0.708 0.709 0.71 0.711 0.712 0.713 0.714 0.715 0.716 0.717 0.718 0.719 0.72 0.721 0.722 0.723 0.724 0.725 0.726 0.727 0.728 0.729 0.73 0.731 0.732 0.733 0.734 0.735 0.736 0.737 0.738 0.739 0.74 0.741 0.742 0.743 0.744 0.745 0.746 0.747 0.748 0.749 0.75 0.751 0.752 0.753 0.754 0.755 0.756

end{sphinxVerbatim}

0.436 0.437 0.438 0.439 0.44 0.441 0.442 0.443 0.444 0.445 0.446 0.447 0.448 0.449 0.45 0.451 0.452 0.453 0.454 0.455 0.456 0.457 0.458 0.459 0.46 0.461 0.462 0.463 0.464 0.465 0.466 0.467 0.468 0.46900000000000003 0.47000000000000003 0.47100000000000003 0.47200000000000003 0.47300000000000003 0.47400000000000003 0.47500000000000003 0.47600000000000003 0.47700000000000004 0.47800000000000004 0.47900000000000004 0.48 0.481 0.482 0.483 0.484 0.485 0.486 0.487 0.488 0.489 0.49 0.491 0.492 0.493 0.494 0.495 0.496 0.497 0.498 0.499 0.5 0.501 0.502 0.503 0.504 0.505 0.506 0.507 0.508 0.509 0.51 0.511 0.512 0.513 0.514 0.515 0.516 0.517 0.518 0.519 0.52 0.521 0.522 0.523 0.524 0.525 0.526 0.527 0.528 0.529 0.53 0.531 0.532 0.533 0.534 0.535 0.536 0.537 0.538 0.539 0.54 0.541 0.542 0.543 0.544 0.545 0.546 0.547 0.548 0.549 0.55 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 0.56 0.561 0.562 0.5630000000000001 0.5640000000000001 0.5650000000000001 0.5660000000000001 0.5670000000000001 0.5680000000000001 0.5690000000000001 0.5700000000000001 0.5710000000000001 0.5720000000000001 0.5730000000000001 0.5740000000000001 0.5750000000000001 0.5760000000000001 0.577 0.578 0.579 0.58 0.581 0.582 0.583 0.584 0.585 0.586 0.587 0.588 0.589 0.59 0.591 0.592 0.593 0.594 0.595 0.596 0.597 0.598 0.599 0.6 0.601 0.602 0.603 0.604 0.605 0.606 0.607 0.608 0.609 0.61 0.611 0.612 0.613 0.614 0.615 0.616 0.617 0.618 0.619 0.62 0.621 0.622 0.623 0.624 0.625 0.626 0.627 0.628 0.629 0.63 0.631 0.632 0.633 0.634 0.635 0.636 0.637 0.638 0.639 0.64 0.641 0.642 0.643 0.644 0.645 0.646 0.647 0.648 0.649 0.65 0.651 0.652 0.653 0.654 0.655 0.656 0.657 0.658 0.659 0.66 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668 0.669 0.67 0.671 0.672 0.673 0.674 0.675 0.676 0.677 0.678 0.679 0.68 0.681 0.682 0.683 0.684 0.685 0.686 0.687 0.6880000000000001 0.6890000000000001 0.6900000000000001 0.6910000000000001 0.6920000000000001 0.6930000000000001 0.6940000000000001 0.6950000000000001 0.6960000000000001 0.6970000000000001 0.6980000000000001 0.6990000000000001 0.7000000000000001 0.7010000000000001 0.7020000000000001 0.7030000000000001 0.704 0.705 0.706 0.707 0.708 0.709 0.71 0.711 0.712 0.713 0.714 0.715 0.716 0.717 0.718 0.719 0.72 0.721 0.722 0.723 0.724 0.725 0.726 0.727 0.728 0.729 0.73 0.731 0.732 0.733 0.734 0.735 0.736 0.737 0.738 0.739 0.74 0.741 0.742 0.743 0.744 0.745 0.746 0.747 0.748 0.749 0.75 0.751 0.752 0.753 0.754 0.755 0.756

more-to-come:

0.757 0.758 0.759 0.76 0.761 0.762 0.763 0.764 0.765 0.766 0.767 0.768 0.769 0.77 0.771 0.772 0.773 0.774 0.775 0.776 0.777 0.778 0.779 0.78 0.781 0.782 0.783 0.784 0.785 0.786 0.787 0.788 0.789 0.79 0.791 0.792 0.793 0.794 0.795 0.796 0.797 0.798 0.799 0.8 0.801 0.802 0.803 0.804 0.805 0.806 0.807 0.808 0.809 0.81 0.811 0.812 0.8130000000000001 0.8140000000000001 0.8150000000000001 0.8160000000000001 0.8170000000000001 0.8180000000000001 0.8190000000000001 0.8200000000000001 0.8210000000000001 0.8220000000000001 0.8230000000000001 0.8240000000000001 0.8250000000000001 0.8260000000000001 0.8270000000000001 0.8280000000000001 0.8290000000000001 0.8300000000000001 0.8310000000000001 0.8320000000000001 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.84 0.841 0.842 0.843 0.844 0.845 0.846 0.847 0.848 0.849 0.85 0.851 0.852 0.853 0.854 0.855 0.856 0.857 0.858 0.859 0.86 0.861 0.862 0.863 0.864 0.865 0.866 0.867 0.868 0.869 0.87 0.871 0.872 0.873

</pre>

0.757 0.758 0.759 0.76 0.761 0.762 0.763 0.764 0.765 0.766 0.767 0.768 0.769 0.77 0.771 0.772 0.773 0.774 0.775 0.776 0.777 0.778 0.779 0.78 0.781 0.782 0.783 0.784 0.785 0.786 0.787 0.788 0.789 0.79 0.791 0.792 0.793 0.794 0.795 0.796 0.797 0.798 0.799 0.8 0.801 0.802 0.803 0.804 0.805 0.806 0.807 0.808 0.809 0.81 0.811 0.812 0.8130000000000001 0.8140000000000001 0.8150000000000001 0.8160000000000001 0.8170000000000001 0.8180000000000001 0.8190000000000001 0.8200000000000001 0.8210000000000001 0.8220000000000001 0.8230000000000001 0.8240000000000001 0.8250000000000001 0.8260000000000001 0.8270000000000001 0.8280000000000001 0.8290000000000001 0.8300000000000001 0.8310000000000001 0.8320000000000001 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.84 0.841 0.842 0.843 0.844 0.845 0.846 0.847 0.848 0.849 0.85 0.851 0.852 0.853 0.854 0.855 0.856 0.857 0.858 0.859 0.86 0.861 0.862 0.863 0.864 0.865 0.866 0.867 0.868 0.869 0.87 0.871 0.872 0.873

end{sphinxVerbatim}

0.757 0.758 0.759 0.76 0.761 0.762 0.763 0.764 0.765 0.766 0.767 0.768 0.769 0.77 0.771 0.772 0.773 0.774 0.775 0.776 0.777 0.778 0.779 0.78 0.781 0.782 0.783 0.784 0.785 0.786 0.787 0.788 0.789 0.79 0.791 0.792 0.793 0.794 0.795 0.796 0.797 0.798 0.799 0.8 0.801 0.802 0.803 0.804 0.805 0.806 0.807 0.808 0.809 0.81 0.811 0.812 0.8130000000000001 0.8140000000000001 0.8150000000000001 0.8160000000000001 0.8170000000000001 0.8180000000000001 0.8190000000000001 0.8200000000000001 0.8210000000000001 0.8220000000000001 0.8230000000000001 0.8240000000000001 0.8250000000000001 0.8260000000000001 0.8270000000000001 0.8280000000000001 0.8290000000000001 0.8300000000000001 0.8310000000000001 0.8320000000000001 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.84 0.841 0.842 0.843 0.844 0.845 0.846 0.847 0.848 0.849 0.85 0.851 0.852 0.853 0.854 0.855 0.856 0.857 0.858 0.859 0.86 0.861 0.862 0.863 0.864 0.865 0.866 0.867 0.868 0.869 0.87 0.871 0.872 0.873

more-to-come:

0.874 0.875 0.876 0.877 0.878 0.879 0.88 0.881 0.882 0.883 0.884 0.885 0.886 0.887 0.888 0.889 0.89 0.891 0.892 0.893 0.894 0.895 0.896 0.897 0.898 0.899 0.9 0.901 0.902 0.903 0.904 0.905 0.906 0.907 0.908 0.909 0.91 0.911 0.912 0.913 0.914 0.915 0.916 0.917 0.918 0.919 0.92 0.921 0.922 0.923 0.924 0.925 0.926 0.927 0.928 0.929 0.93 0.931 0.932 0.933 0.934 0.935 0.936 0.937 0.9380000000000001 0.9390000000000001 0.9400000000000001 0.9410000000000001 0.9420000000000001 0.9430000000000001 0.9440000000000001 0.9450000000000001 0.9460000000000001 0.9470000000000001 0.9480000000000001 0.9490000000000001 0.9500000000000001 0.9510000000000001 0.9520000000000001 0.9530000000000001 0.9540000000000001 0.9550000000000001 0.9560000000000001 0.9570000000000001 0.9580000000000001 0.9590000000000001 0.96 0.961 0.962 0.963 0.964 0.965 0.966 0.967 0.968 0.969 0.97 0.971 0.972 0.973 0.974 0.975 0.976 0.977 0.978 0.979 0.98 0.981 0.982 0.983 0.984 0.985 0.986 0.987 0.988 0.989 0.99 0.991 0.992 0.993 0.994 0.995 0.996 0.997 0.998 0.999 1.0 1.0010000000000001 1.002 1.0030000000000001 1.004 1.0050000000000001 1.006 1.0070000000000001 1.008 1.0090000000000001 1.01 1.0110000000000001 1.012 1.0130000000000001 1.014 1.0150000000000001 1.016 1.0170000000000001 1.018 1.0190000000000001 1.02 1.0210000000000001 1.022 1.0230000000000001 1.024 1.025 1.026 1.027 1.028 1.029 1.03 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.04 1.041 1.042 1.043 1.044 1.045 1.046 1.047 1.048 1.049 1.05 1.051 1.052 1.053 1.054 1.055 1.056 1.057 1.058 1.059 1.06 1.061 1.062 1.063 1.064 1.065 1.066 1.067 1.068 1.069 1.07 1.071 1.072 1.073 1.074 1.075 1.076 1.077 1.078 1.079 1.08 1.081 1.082 1.083 1.084 1.085 1.086 1.087 1.088 1.089 1.09 1.091 1.092 1.093 1.094 1.095 1.096 1.097 1.098 1.099 1.1 1.101 1.102 1.103 1.104 1.105 1.106 1.107 1.108 1.109 1.11 1.111 1.112 1.113 1.114 1.115 1.116 1.117 1.118 1.119 1.12 1.121 1.122 1.123 1.124 1.125 1.1260000000000001 1.127 1.1280000000000001 1.129 1.1300000000000001 1.131 1.1320000000000001 1.133 1.1340000000000001 1.135 1.1360000000000001 1.137 1.1380000000000001 1.139 1.1400000000000001 1.141 1.1420000000000001 1.143 1.1440000000000001 1.145 1.1460000000000001 1.147 1.1480000000000001 1.149 1.1500000000000001 1.151 1.1520000000000001 1.153 1.154 1.155 1.156 1.157 1.158 1.159 1.16 1.161 1.162 1.163 1.164 1.165 1.166 1.167 1.168 1.169 1.17 1.171 1.172 1.173 1.174 1.175 1.176 1.177 1.178 1.179 1.18 1.181 1.182 1.183 1.184 1.185 1.186 1.187 1.188 1.189 1.19 1.191 1.192 1.193 1.194

</pre>

0.874 0.875 0.876 0.877 0.878 0.879 0.88 0.881 0.882 0.883 0.884 0.885 0.886 0.887 0.888 0.889 0.89 0.891 0.892 0.893 0.894 0.895 0.896 0.897 0.898 0.899 0.9 0.901 0.902 0.903 0.904 0.905 0.906 0.907 0.908 0.909 0.91 0.911 0.912 0.913 0.914 0.915 0.916 0.917 0.918 0.919 0.92 0.921 0.922 0.923 0.924 0.925 0.926 0.927 0.928 0.929 0.93 0.931 0.932 0.933 0.934 0.935 0.936 0.937 0.9380000000000001 0.9390000000000001 0.9400000000000001 0.9410000000000001 0.9420000000000001 0.9430000000000001 0.9440000000000001 0.9450000000000001 0.9460000000000001 0.9470000000000001 0.9480000000000001 0.9490000000000001 0.9500000000000001 0.9510000000000001 0.9520000000000001 0.9530000000000001 0.9540000000000001 0.9550000000000001 0.9560000000000001 0.9570000000000001 0.9580000000000001 0.9590000000000001 0.96 0.961 0.962 0.963 0.964 0.965 0.966 0.967 0.968 0.969 0.97 0.971 0.972 0.973 0.974 0.975 0.976 0.977 0.978 0.979 0.98 0.981 0.982 0.983 0.984 0.985 0.986 0.987 0.988 0.989 0.99 0.991 0.992 0.993 0.994 0.995 0.996 0.997 0.998 0.999 1.0 1.0010000000000001 1.002 1.0030000000000001 1.004 1.0050000000000001 1.006 1.0070000000000001 1.008 1.0090000000000001 1.01 1.0110000000000001 1.012 1.0130000000000001 1.014 1.0150000000000001 1.016 1.0170000000000001 1.018 1.0190000000000001 1.02 1.0210000000000001 1.022 1.0230000000000001 1.024 1.025 1.026 1.027 1.028 1.029 1.03 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.04 1.041 1.042 1.043 1.044 1.045 1.046 1.047 1.048 1.049 1.05 1.051 1.052 1.053 1.054 1.055 1.056 1.057 1.058 1.059 1.06 1.061 1.062 1.063 1.064 1.065 1.066 1.067 1.068 1.069 1.07 1.071 1.072 1.073 1.074 1.075 1.076 1.077 1.078 1.079 1.08 1.081 1.082 1.083 1.084 1.085 1.086 1.087 1.088 1.089 1.09 1.091 1.092 1.093 1.094 1.095 1.096 1.097 1.098 1.099 1.1 1.101 1.102 1.103 1.104 1.105 1.106 1.107 1.108 1.109 1.11 1.111 1.112 1.113 1.114 1.115 1.116 1.117 1.118 1.119 1.12 1.121 1.122 1.123 1.124 1.125 1.1260000000000001 1.127 1.1280000000000001 1.129 1.1300000000000001 1.131 1.1320000000000001 1.133 1.1340000000000001 1.135 1.1360000000000001 1.137 1.1380000000000001 1.139 1.1400000000000001 1.141 1.1420000000000001 1.143 1.1440000000000001 1.145 1.1460000000000001 1.147 1.1480000000000001 1.149 1.1500000000000001 1.151 1.1520000000000001 1.153 1.154 1.155 1.156 1.157 1.158 1.159 1.16 1.161 1.162 1.163 1.164 1.165 1.166 1.167 1.168 1.169 1.17 1.171 1.172 1.173 1.174 1.175 1.176 1.177 1.178 1.179 1.18 1.181 1.182 1.183 1.184 1.185 1.186 1.187 1.188 1.189 1.19 1.191 1.192 1.193 1.194

end{sphinxVerbatim}

0.874 0.875 0.876 0.877 0.878 0.879 0.88 0.881 0.882 0.883 0.884 0.885 0.886 0.887 0.888 0.889 0.89 0.891 0.892 0.893 0.894 0.895 0.896 0.897 0.898 0.899 0.9 0.901 0.902 0.903 0.904 0.905 0.906 0.907 0.908 0.909 0.91 0.911 0.912 0.913 0.914 0.915 0.916 0.917 0.918 0.919 0.92 0.921 0.922 0.923 0.924 0.925 0.926 0.927 0.928 0.929 0.93 0.931 0.932 0.933 0.934 0.935 0.936 0.937 0.9380000000000001 0.9390000000000001 0.9400000000000001 0.9410000000000001 0.9420000000000001 0.9430000000000001 0.9440000000000001 0.9450000000000001 0.9460000000000001 0.9470000000000001 0.9480000000000001 0.9490000000000001 0.9500000000000001 0.9510000000000001 0.9520000000000001 0.9530000000000001 0.9540000000000001 0.9550000000000001 0.9560000000000001 0.9570000000000001 0.9580000000000001 0.9590000000000001 0.96 0.961 0.962 0.963 0.964 0.965 0.966 0.967 0.968 0.969 0.97 0.971 0.972 0.973 0.974 0.975 0.976 0.977 0.978 0.979 0.98 0.981 0.982 0.983 0.984 0.985 0.986 0.987 0.988 0.989 0.99 0.991 0.992 0.993 0.994 0.995 0.996 0.997 0.998 0.999 1.0 1.0010000000000001 1.002 1.0030000000000001 1.004 1.0050000000000001 1.006 1.0070000000000001 1.008 1.0090000000000001 1.01 1.0110000000000001 1.012 1.0130000000000001 1.014 1.0150000000000001 1.016 1.0170000000000001 1.018 1.0190000000000001 1.02 1.0210000000000001 1.022 1.0230000000000001 1.024 1.025 1.026 1.027 1.028 1.029 1.03 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.04 1.041 1.042 1.043 1.044 1.045 1.046 1.047 1.048 1.049 1.05 1.051 1.052 1.053 1.054 1.055 1.056 1.057 1.058 1.059 1.06 1.061 1.062 1.063 1.064 1.065 1.066 1.067 1.068 1.069 1.07 1.071 1.072 1.073 1.074 1.075 1.076 1.077 1.078 1.079 1.08 1.081 1.082 1.083 1.084 1.085 1.086 1.087 1.088 1.089 1.09 1.091 1.092 1.093 1.094 1.095 1.096 1.097 1.098 1.099 1.1 1.101 1.102 1.103 1.104 1.105 1.106 1.107 1.108 1.109 1.11 1.111 1.112 1.113 1.114 1.115 1.116 1.117 1.118 1.119 1.12 1.121 1.122 1.123 1.124 1.125 1.1260000000000001 1.127 1.1280000000000001 1.129 1.1300000000000001 1.131 1.1320000000000001 1.133 1.1340000000000001 1.135 1.1360000000000001 1.137 1.1380000000000001 1.139 1.1400000000000001 1.141 1.1420000000000001 1.143 1.1440000000000001 1.145 1.1460000000000001 1.147 1.1480000000000001 1.149 1.1500000000000001 1.151 1.1520000000000001 1.153 1.154 1.155 1.156 1.157 1.158 1.159 1.16 1.161 1.162 1.163 1.164 1.165 1.166 1.167 1.168 1.169 1.17 1.171 1.172 1.173 1.174 1.175 1.176 1.177 1.178 1.179 1.18 1.181 1.182 1.183 1.184 1.185 1.186 1.187 1.188 1.189 1.19 1.191 1.192 1.193 1.194

more-to-come:

1.195 1.196 1.197 1.198 1.199 1.2 1.201 1.202 1.203 1.204 1.205 1.206 1.207 1.208 1.209 1.21 1.211 1.212 1.213 1.214 1.215 1.216 1.217 1.218 1.219 1.22 1.221 1.222 1.223 1.224 1.225 1.226 1.227 1.228 1.229 1.23 1.231 1.232 1.233 1.234 1.235 1.236 1.237 1.238 1.239 1.24 1.241 1.242 1.243 1.244 1.245 1.246 1.247 1.248 1.249 1.25 1.2510000000000001 1.252 1.2530000000000001 1.254 1.2550000000000001 1.256 1.2570000000000001 1.258 1.2590000000000001 1.26 1.2610000000000001 1.262 1.2630000000000001 1.264 1.2650000000000001 1.266 1.2670000000000001 1.268 1.2690000000000001 1.27 1.2710000000000001 1.272 1.2730000000000001 1.274 1.2750000000000001 1.276 1.2770000000000001 1.278 1.2790000000000001 1.28 1.281 1.282 1.283 1.284 1.285 1.286 1.287 1.288 1.289 1.29 1.291 1.292 1.293 1.294 1.295 1.296 1.297 1.298 1.299 1.3 1.301 1.302 1.303 1.304 1.305 1.306 1.307 1.308 1.309 1.31 1.311

</pre>

1.195 1.196 1.197 1.198 1.199 1.2 1.201 1.202 1.203 1.204 1.205 1.206 1.207 1.208 1.209 1.21 1.211 1.212 1.213 1.214 1.215 1.216 1.217 1.218 1.219 1.22 1.221 1.222 1.223 1.224 1.225 1.226 1.227 1.228 1.229 1.23 1.231 1.232 1.233 1.234 1.235 1.236 1.237 1.238 1.239 1.24 1.241 1.242 1.243 1.244 1.245 1.246 1.247 1.248 1.249 1.25 1.2510000000000001 1.252 1.2530000000000001 1.254 1.2550000000000001 1.256 1.2570000000000001 1.258 1.2590000000000001 1.26 1.2610000000000001 1.262 1.2630000000000001 1.264 1.2650000000000001 1.266 1.2670000000000001 1.268 1.2690000000000001 1.27 1.2710000000000001 1.272 1.2730000000000001 1.274 1.2750000000000001 1.276 1.2770000000000001 1.278 1.2790000000000001 1.28 1.281 1.282 1.283 1.284 1.285 1.286 1.287 1.288 1.289 1.29 1.291 1.292 1.293 1.294 1.295 1.296 1.297 1.298 1.299 1.3 1.301 1.302 1.303 1.304 1.305 1.306 1.307 1.308 1.309 1.31 1.311

end{sphinxVerbatim}

1.195 1.196 1.197 1.198 1.199 1.2 1.201 1.202 1.203 1.204 1.205 1.206 1.207 1.208 1.209 1.21 1.211 1.212 1.213 1.214 1.215 1.216 1.217 1.218 1.219 1.22 1.221 1.222 1.223 1.224 1.225 1.226 1.227 1.228 1.229 1.23 1.231 1.232 1.233 1.234 1.235 1.236 1.237 1.238 1.239 1.24 1.241 1.242 1.243 1.244 1.245 1.246 1.247 1.248 1.249 1.25 1.2510000000000001 1.252 1.2530000000000001 1.254 1.2550000000000001 1.256 1.2570000000000001 1.258 1.2590000000000001 1.26 1.2610000000000001 1.262 1.2630000000000001 1.264 1.2650000000000001 1.266 1.2670000000000001 1.268 1.2690000000000001 1.27 1.2710000000000001 1.272 1.2730000000000001 1.274 1.2750000000000001 1.276 1.2770000000000001 1.278 1.2790000000000001 1.28 1.281 1.282 1.283 1.284 1.285 1.286 1.287 1.288 1.289 1.29 1.291 1.292 1.293 1.294 1.295 1.296 1.297 1.298 1.299 1.3 1.301 1.302 1.303 1.304 1.305 1.306 1.307 1.308 1.309 1.31 1.311

more-to-come:

1.312 1.313 1.314 1.315 1.316 1.317 1.318 1.319 1.32 1.321 1.322 1.323 1.324 1.325 1.326 1.327 1.328 1.329 1.33 1.331 1.332 1.333 1.334 1.335 1.336 1.337 1.338 1.339 1.34 1.341 1.342 1.343 1.344 1.345 1.346 1.347 1.348 1.349 1.35 1.351 1.352 1.353 1.354 1.355 1.356 1.357 1.358 1.359 1.36 1.361 1.362 1.363 1.364 1.365 1.366 1.367 1.368 1.369 1.37 1.371 1.372 1.373 1.374 1.375 1.3760000000000001 1.377 1.3780000000000001 1.379 1.3800000000000001 1.381 1.3820000000000001 1.383 1.3840000000000001 1.385 1.3860000000000001 1.387 1.3880000000000001 1.389 1.3900000000000001 1.391 1.3920000000000001 1.393 1.3940000000000001 1.395 1.3960000000000001 1.397 1.3980000000000001 1.399 1.4000000000000001 1.401 1.4020000000000001 1.403 1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001 1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655

</pre>

1.312 1.313 1.314 1.315 1.316 1.317 1.318 1.319 1.32 1.321 1.322 1.323 1.324 1.325 1.326 1.327 1.328 1.329 1.33 1.331 1.332 1.333 1.334 1.335 1.336 1.337 1.338 1.339 1.34 1.341 1.342 1.343 1.344 1.345 1.346 1.347 1.348 1.349 1.35 1.351 1.352 1.353 1.354 1.355 1.356 1.357 1.358 1.359 1.36 1.361 1.362 1.363 1.364 1.365 1.366 1.367 1.368 1.369 1.37 1.371 1.372 1.373 1.374 1.375 1.3760000000000001 1.377 1.3780000000000001 1.379 1.3800000000000001 1.381 1.3820000000000001 1.383 1.3840000000000001 1.385 1.3860000000000001 1.387 1.3880000000000001 1.389 1.3900000000000001 1.391 1.3920000000000001 1.393 1.3940000000000001 1.395 1.3960000000000001 1.397 1.3980000000000001 1.399 1.4000000000000001 1.401 1.4020000000000001 1.403 1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001 1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655

end{sphinxVerbatim}

1.312 1.313 1.314 1.315 1.316 1.317 1.318 1.319 1.32 1.321 1.322 1.323 1.324 1.325 1.326 1.327 1.328 1.329 1.33 1.331 1.332 1.333 1.334 1.335 1.336 1.337 1.338 1.339 1.34 1.341 1.342 1.343 1.344 1.345 1.346 1.347 1.348 1.349 1.35 1.351 1.352 1.353 1.354 1.355 1.356 1.357 1.358 1.359 1.36 1.361 1.362 1.363 1.364 1.365 1.366 1.367 1.368 1.369 1.37 1.371 1.372 1.373 1.374 1.375 1.3760000000000001 1.377 1.3780000000000001 1.379 1.3800000000000001 1.381 1.3820000000000001 1.383 1.3840000000000001 1.385 1.3860000000000001 1.387 1.3880000000000001 1.389 1.3900000000000001 1.391 1.3920000000000001 1.393 1.3940000000000001 1.395 1.3960000000000001 1.397 1.3980000000000001 1.399 1.4000000000000001 1.401 1.4020000000000001 1.403 1.4040000000000001 1.405 1.4060000000000001 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 1.442 1.443 1.444 1.445 1.446 1.447 1.448 1.449 1.45 1.451 1.452 1.453 1.454 1.455 1.456 1.457 1.458 1.459 1.46 1.461 1.462 1.463 1.464 1.465 1.466 1.467 1.468 1.469 1.47 1.471 1.472 1.473 1.474 1.475 1.476 1.477 1.478 1.479 1.48 1.481 1.482 1.483 1.484 1.485 1.486 1.487 1.488 1.489 1.49 1.491 1.492 1.493 1.494 1.495 1.496 1.497 1.498 1.499 1.5 1.5010000000000001 1.502 1.5030000000000001 1.504 1.5050000000000001 1.506 1.5070000000000001 1.508 1.5090000000000001 1.51 1.5110000000000001 1.512 1.5130000000000001 1.514 1.5150000000000001 1.516 1.5170000000000001 1.518 1.5190000000000001 1.52 1.5210000000000001 1.522 1.5230000000000001 1.524 1.5250000000000001 1.526 1.5270000000000001 1.528 1.5290000000000001 1.53 1.5310000000000001 1.532 1.5330000000000001 1.534 1.5350000000000001 1.536 1.537 1.538 1.539 1.54 1.541 1.542 1.543 1.544 1.545 1.546 1.547 1.548 1.549 1.55 1.551 1.552 1.553 1.554 1.555 1.556 1.557 1.558 1.559 1.56 1.561 1.562 1.563 1.564 1.565 1.566 1.567 1.568 1.569 1.57 1.571 1.572 1.573 1.574 1.575 1.576 1.577 1.578 1.579 1.58 1.581 1.582 1.583 1.584 1.585 1.586 1.587 1.588 1.589 1.59 1.591 1.592 1.593 1.594 1.595 1.596 1.597 1.598 1.599 1.6 1.601 1.602 1.603 1.604 1.605 1.606 1.607 1.608 1.609 1.61 1.611 1.612 1.613 1.614 1.615 1.616 1.617 1.618 1.619 1.62 1.621 1.622 1.623 1.624 1.625 1.6260000000000001 1.627 1.6280000000000001 1.629 1.6300000000000001 1.631 1.6320000000000001 1.633 1.6340000000000001 1.635 1.6360000000000001 1.637 1.6380000000000001 1.639 1.6400000000000001 1.641 1.6420000000000001 1.643 1.6440000000000001 1.645 1.6460000000000001 1.647 1.6480000000000001 1.649 1.6500000000000001 1.651 1.6520000000000001 1.653 1.6540000000000001 1.655

more-to-come:

1.6560000000000001 1.657 1.6580000000000001 1.659 1.6600000000000001 1.661 1.6620000000000001 1.663 1.6640000000000001 1.665 1.666 1.667 1.668 1.669 1.67 1.671 1.672 1.673 1.674 1.675 1.676 1.677 1.678 1.679 1.68 1.681 1.682 1.683 1.684 1.685 1.686 1.687 1.688 1.689 1.69 1.691 1.692 1.693 1.694 1.695 1.696 1.697 1.698 1.699 1.7 1.701 1.702 1.703 1.704 1.705 1.706 1.707 1.708 1.709 1.71 1.711 1.712 1.713 1.714 1.715 1.716 1.717 1.718 1.719 1.72 1.721 1.722 1.723 1.724 1.725 1.726 1.727 1.728 1.729 1.73 1.731 1.732 1.733 1.734 1.735 1.736 1.737 1.738 1.739 1.74 1.741 1.742 1.743 1.744 1.745 1.746 1.747 1.748 1.749 1.75 1.7510000000000001 1.752 1.7530000000000001 1.754 1.7550000000000001 1.756 1.7570000000000001 1.758 1.7590000000000001 1.76 1.7610000000000001 1.762 1.7630000000000001 1.764 1.7650000000000001 1.766 1.7670000000000001 1.768 1.7690000000000001 1.77 1.7710000000000001 1.772 1.7730000000000001 1.774 1.7750000000000001 1.776 1.7770000000000001 1.778 1.7790000000000001 1.78 1.7810000000000001 1.782 1.7830000000000001 1.784 1.7850000000000001 1.786 1.7870000000000001 1.788 1.7890000000000001 1.79 1.7910000000000001 1.792 1.793 1.794 1.795 1.796 1.797 1.798

</pre>

1.6560000000000001 1.657 1.6580000000000001 1.659 1.6600000000000001 1.661 1.6620000000000001 1.663 1.6640000000000001 1.665 1.666 1.667 1.668 1.669 1.67 1.671 1.672 1.673 1.674 1.675 1.676 1.677 1.678 1.679 1.68 1.681 1.682 1.683 1.684 1.685 1.686 1.687 1.688 1.689 1.69 1.691 1.692 1.693 1.694 1.695 1.696 1.697 1.698 1.699 1.7 1.701 1.702 1.703 1.704 1.705 1.706 1.707 1.708 1.709 1.71 1.711 1.712 1.713 1.714 1.715 1.716 1.717 1.718 1.719 1.72 1.721 1.722 1.723 1.724 1.725 1.726 1.727 1.728 1.729 1.73 1.731 1.732 1.733 1.734 1.735 1.736 1.737 1.738 1.739 1.74 1.741 1.742 1.743 1.744 1.745 1.746 1.747 1.748 1.749 1.75 1.7510000000000001 1.752 1.7530000000000001 1.754 1.7550000000000001 1.756 1.7570000000000001 1.758 1.7590000000000001 1.76 1.7610000000000001 1.762 1.7630000000000001 1.764 1.7650000000000001 1.766 1.7670000000000001 1.768 1.7690000000000001 1.77 1.7710000000000001 1.772 1.7730000000000001 1.774 1.7750000000000001 1.776 1.7770000000000001 1.778 1.7790000000000001 1.78 1.7810000000000001 1.782 1.7830000000000001 1.784 1.7850000000000001 1.786 1.7870000000000001 1.788 1.7890000000000001 1.79 1.7910000000000001 1.792 1.793 1.794 1.795 1.796 1.797 1.798

end{sphinxVerbatim}

1.6560000000000001 1.657 1.6580000000000001 1.659 1.6600000000000001 1.661 1.6620000000000001 1.663 1.6640000000000001 1.665 1.666 1.667 1.668 1.669 1.67 1.671 1.672 1.673 1.674 1.675 1.676 1.677 1.678 1.679 1.68 1.681 1.682 1.683 1.684 1.685 1.686 1.687 1.688 1.689 1.69 1.691 1.692 1.693 1.694 1.695 1.696 1.697 1.698 1.699 1.7 1.701 1.702 1.703 1.704 1.705 1.706 1.707 1.708 1.709 1.71 1.711 1.712 1.713 1.714 1.715 1.716 1.717 1.718 1.719 1.72 1.721 1.722 1.723 1.724 1.725 1.726 1.727 1.728 1.729 1.73 1.731 1.732 1.733 1.734 1.735 1.736 1.737 1.738 1.739 1.74 1.741 1.742 1.743 1.744 1.745 1.746 1.747 1.748 1.749 1.75 1.7510000000000001 1.752 1.7530000000000001 1.754 1.7550000000000001 1.756 1.7570000000000001 1.758 1.7590000000000001 1.76 1.7610000000000001 1.762 1.7630000000000001 1.764 1.7650000000000001 1.766 1.7670000000000001 1.768 1.7690000000000001 1.77 1.7710000000000001 1.772 1.7730000000000001 1.774 1.7750000000000001 1.776 1.7770000000000001 1.778 1.7790000000000001 1.78 1.7810000000000001 1.782 1.7830000000000001 1.784 1.7850000000000001 1.786 1.7870000000000001 1.788 1.7890000000000001 1.79 1.7910000000000001 1.792 1.793 1.794 1.795 1.796 1.797 1.798

more-to-come:

1.799 1.8 1.801 1.802 1.803 1.804 1.805 1.806 1.807 1.808 1.809 1.81 1.811 1.812 1.813 1.814 1.815 1.816 1.817 1.818 1.819 1.82 1.821 1.822 1.823 1.824 1.825 1.826 1.827 1.828 1.829 1.83 1.831 1.832 1.833 1.834 1.835 1.836 1.837 1.838 1.839 1.84 1.841 1.842 1.843 1.844 1.845 1.846 1.847 1.848 1.849 1.85 1.851 1.852 1.853 1.854 1.855 1.856 1.857 1.858 1.859 1.86 1.861 1.862 1.863 1.864 1.865 1.866 1.867 1.868 1.869 1.87 1.871 1.872 1.873 1.874 1.875 1.8760000000000001 1.877 1.8780000000000001 1.879 1.8800000000000001 1.881 1.8820000000000001 1.883 1.8840000000000001 1.885 1.8860000000000001 1.887 1.8880000000000001 1.889 1.8900000000000001 1.891 1.8920000000000001 1.893 1.8940000000000001 1.895 1.8960000000000001 1.897 1.8980000000000001 1.899 1.9000000000000001 1.901 1.9020000000000001 1.903 1.9040000000000001 1.905 1.9060000000000001 1.907 1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999 2.0 2.001 2.0020000000000002 2.003 2.004 2.005 2.0060000000000002 2.007 2.008 2.009 2.0100000000000002 2.011 2.012 2.013 2.0140000000000002 2.015 2.016 2.017 2.0180000000000002 2.019 2.02 2.021 2.0220000000000002 2.023 2.024 2.025 2.0260000000000002 2.027 2.028 2.029 2.0300000000000002 2.031 2.032 2.033 2.0340000000000003 2.035 2.036 2.037 2.0380000000000003 2.039 2.04 2.041 2.0420000000000003 2.043 2.044 2.045 2.0460000000000003 2.047 2.048 2.049 2.05 2.051 2.052 2.053 2.054 2.055 2.056 2.057 2.058 2.059 2.06 2.061 2.062 2.063 2.064 2.065 2.066 2.067 2.068 2.069 2.07 2.071 2.072 2.073 2.074 2.075 2.076 2.077 2.078 2.079 2.08 2.081 2.082 2.083 2.084 2.085 2.086 2.087 2.088 2.089 2.09 2.091 2.092 2.093 2.094 2.095 2.096 2.097 2.098 2.099 2.1 2.101 2.102 2.103 2.104 2.105 2.106 2.107 2.108 2.109 2.11 2.111 2.112 2.113 2.114 2.115 2.116 2.117 2.118 2.119 2.12 2.121 2.122 2.123 2.124 2.125 2.126 2.1270000000000002 2.128 2.129 2.13 2.1310000000000002 2.132 2.133 2.134 2.1350000000000002 2.136 2.137 2.138 2.1390000000000002 2.14 2.141 2.142 2.1430000000000002 2.144 2.145 2.146 2.1470000000000002 2.148 2.149 2.15 2.1510000000000002 2.152 2.153 2.154 2.1550000000000002 2.156 2.157 2.158 2.1590000000000003 2.16 2.161 2.162 2.1630000000000003 2.164 2.165 2.166 2.1670000000000003 2.168 2.169 2.17 2.1710000000000003 2.172 2.173 2.174 2.1750000000000003 2.176 2.177 2.178 2.179 2.18 2.181 2.182 2.183 2.184 2.185 2.186 2.187 2.188 2.189 2.19 2.191 2.192 2.193 2.194 2.195

</pre>

1.799 1.8 1.801 1.802 1.803 1.804 1.805 1.806 1.807 1.808 1.809 1.81 1.811 1.812 1.813 1.814 1.815 1.816 1.817 1.818 1.819 1.82 1.821 1.822 1.823 1.824 1.825 1.826 1.827 1.828 1.829 1.83 1.831 1.832 1.833 1.834 1.835 1.836 1.837 1.838 1.839 1.84 1.841 1.842 1.843 1.844 1.845 1.846 1.847 1.848 1.849 1.85 1.851 1.852 1.853 1.854 1.855 1.856 1.857 1.858 1.859 1.86 1.861 1.862 1.863 1.864 1.865 1.866 1.867 1.868 1.869 1.87 1.871 1.872 1.873 1.874 1.875 1.8760000000000001 1.877 1.8780000000000001 1.879 1.8800000000000001 1.881 1.8820000000000001 1.883 1.8840000000000001 1.885 1.8860000000000001 1.887 1.8880000000000001 1.889 1.8900000000000001 1.891 1.8920000000000001 1.893 1.8940000000000001 1.895 1.8960000000000001 1.897 1.8980000000000001 1.899 1.9000000000000001 1.901 1.9020000000000001 1.903 1.9040000000000001 1.905 1.9060000000000001 1.907 1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999 2.0 2.001 2.0020000000000002 2.003 2.004 2.005 2.0060000000000002 2.007 2.008 2.009 2.0100000000000002 2.011 2.012 2.013 2.0140000000000002 2.015 2.016 2.017 2.0180000000000002 2.019 2.02 2.021 2.0220000000000002 2.023 2.024 2.025 2.0260000000000002 2.027 2.028 2.029 2.0300000000000002 2.031 2.032 2.033 2.0340000000000003 2.035 2.036 2.037 2.0380000000000003 2.039 2.04 2.041 2.0420000000000003 2.043 2.044 2.045 2.0460000000000003 2.047 2.048 2.049 2.05 2.051 2.052 2.053 2.054 2.055 2.056 2.057 2.058 2.059 2.06 2.061 2.062 2.063 2.064 2.065 2.066 2.067 2.068 2.069 2.07 2.071 2.072 2.073 2.074 2.075 2.076 2.077 2.078 2.079 2.08 2.081 2.082 2.083 2.084 2.085 2.086 2.087 2.088 2.089 2.09 2.091 2.092 2.093 2.094 2.095 2.096 2.097 2.098 2.099 2.1 2.101 2.102 2.103 2.104 2.105 2.106 2.107 2.108 2.109 2.11 2.111 2.112 2.113 2.114 2.115 2.116 2.117 2.118 2.119 2.12 2.121 2.122 2.123 2.124 2.125 2.126 2.1270000000000002 2.128 2.129 2.13 2.1310000000000002 2.132 2.133 2.134 2.1350000000000002 2.136 2.137 2.138 2.1390000000000002 2.14 2.141 2.142 2.1430000000000002 2.144 2.145 2.146 2.1470000000000002 2.148 2.149 2.15 2.1510000000000002 2.152 2.153 2.154 2.1550000000000002 2.156 2.157 2.158 2.1590000000000003 2.16 2.161 2.162 2.1630000000000003 2.164 2.165 2.166 2.1670000000000003 2.168 2.169 2.17 2.1710000000000003 2.172 2.173 2.174 2.1750000000000003 2.176 2.177 2.178 2.179 2.18 2.181 2.182 2.183 2.184 2.185 2.186 2.187 2.188 2.189 2.19 2.191 2.192 2.193 2.194 2.195

end{sphinxVerbatim}

1.799 1.8 1.801 1.802 1.803 1.804 1.805 1.806 1.807 1.808 1.809 1.81 1.811 1.812 1.813 1.814 1.815 1.816 1.817 1.818 1.819 1.82 1.821 1.822 1.823 1.824 1.825 1.826 1.827 1.828 1.829 1.83 1.831 1.832 1.833 1.834 1.835 1.836 1.837 1.838 1.839 1.84 1.841 1.842 1.843 1.844 1.845 1.846 1.847 1.848 1.849 1.85 1.851 1.852 1.853 1.854 1.855 1.856 1.857 1.858 1.859 1.86 1.861 1.862 1.863 1.864 1.865 1.866 1.867 1.868 1.869 1.87 1.871 1.872 1.873 1.874 1.875 1.8760000000000001 1.877 1.8780000000000001 1.879 1.8800000000000001 1.881 1.8820000000000001 1.883 1.8840000000000001 1.885 1.8860000000000001 1.887 1.8880000000000001 1.889 1.8900000000000001 1.891 1.8920000000000001 1.893 1.8940000000000001 1.895 1.8960000000000001 1.897 1.8980000000000001 1.899 1.9000000000000001 1.901 1.9020000000000001 1.903 1.9040000000000001 1.905 1.9060000000000001 1.907 1.9080000000000001 1.909 1.9100000000000001 1.911 1.9120000000000001 1.913 1.9140000000000001 1.915 1.9160000000000001 1.917 1.9180000000000001 1.919 1.92 1.921 1.922 1.923 1.924 1.925 1.926 1.927 1.928 1.929 1.93 1.931 1.932 1.933 1.934 1.935 1.936 1.937 1.938 1.939 1.94 1.941 1.942 1.943 1.944 1.945 1.946 1.947 1.948 1.949 1.95 1.951 1.952 1.953 1.954 1.955 1.956 1.957 1.958 1.959 1.96 1.961 1.962 1.963 1.964 1.965 1.966 1.967 1.968 1.969 1.97 1.971 1.972 1.973 1.974 1.975 1.976 1.977 1.978 1.979 1.98 1.981 1.982 1.983 1.984 1.985 1.986 1.987 1.988 1.989 1.99 1.991 1.992 1.993 1.994 1.995 1.996 1.997 1.998 1.999 2.0 2.001 2.0020000000000002 2.003 2.004 2.005 2.0060000000000002 2.007 2.008 2.009 2.0100000000000002 2.011 2.012 2.013 2.0140000000000002 2.015 2.016 2.017 2.0180000000000002 2.019 2.02 2.021 2.0220000000000002 2.023 2.024 2.025 2.0260000000000002 2.027 2.028 2.029 2.0300000000000002 2.031 2.032 2.033 2.0340000000000003 2.035 2.036 2.037 2.0380000000000003 2.039 2.04 2.041 2.0420000000000003 2.043 2.044 2.045 2.0460000000000003 2.047 2.048 2.049 2.05 2.051 2.052 2.053 2.054 2.055 2.056 2.057 2.058 2.059 2.06 2.061 2.062 2.063 2.064 2.065 2.066 2.067 2.068 2.069 2.07 2.071 2.072 2.073 2.074 2.075 2.076 2.077 2.078 2.079 2.08 2.081 2.082 2.083 2.084 2.085 2.086 2.087 2.088 2.089 2.09 2.091 2.092 2.093 2.094 2.095 2.096 2.097 2.098 2.099 2.1 2.101 2.102 2.103 2.104 2.105 2.106 2.107 2.108 2.109 2.11 2.111 2.112 2.113 2.114 2.115 2.116 2.117 2.118 2.119 2.12 2.121 2.122 2.123 2.124 2.125 2.126 2.1270000000000002 2.128 2.129 2.13 2.1310000000000002 2.132 2.133 2.134 2.1350000000000002 2.136 2.137 2.138 2.1390000000000002 2.14 2.141 2.142 2.1430000000000002 2.144 2.145 2.146 2.1470000000000002 2.148 2.149 2.15 2.1510000000000002 2.152 2.153 2.154 2.1550000000000002 2.156 2.157 2.158 2.1590000000000003 2.16 2.161 2.162 2.1630000000000003 2.164 2.165 2.166 2.1670000000000003 2.168 2.169 2.17 2.1710000000000003 2.172 2.173 2.174 2.1750000000000003 2.176 2.177 2.178 2.179 2.18 2.181 2.182 2.183 2.184 2.185 2.186 2.187 2.188 2.189 2.19 2.191 2.192 2.193 2.194 2.195

more-to-come:

2.196 2.197 2.198 2.199 2.2 2.201 2.202 2.203 2.204 2.205 2.206 2.207 2.208 2.209 2.21 2.211 2.212 2.213 2.214 2.215 2.216 2.217 2.218 2.219 2.22 2.221 2.222 2.223 2.224 2.225 2.226 2.227 2.228 2.229 2.23 2.231 2.232 2.233 2.234 2.235 2.236 2.237 2.238 2.239 2.24 2.241 2.242 2.243 2.244 2.245 2.246 2.247 2.248 2.249 2.25 2.251 2.2520000000000002 2.253 2.254 2.255 2.2560000000000002 2.257 2.258 2.259 2.2600000000000002 2.261 2.262 2.263 2.2640000000000002 2.265 2.266 2.267 2.2680000000000002 2.269 2.27 2.271 2.2720000000000002 2.273 2.274 2.275 2.2760000000000002 2.277 2.278 2.279 2.2800000000000002 2.281 2.282 2.283 2.2840000000000003 2.285 2.286 2.287 2.2880000000000003 2.289 2.29 2.291 2.2920000000000003 2.293 2.294 2.295 2.2960000000000003 2.297 2.298 2.299 2.3000000000000003 2.301 2.302 2.303 2.3040000000000003 2.305 2.306 2.307 2.308 2.309 2.31 2.311 2.312 2.313 2.314 2.315 2.316 2.317 2.318 2.319 2.32 2.321 2.322 2.323 2.324 2.325 2.326 2.327 2.328 2.329 2.33 2.331 2.332 2.333 2.334 2.335 2.336 2.337 2.338 2.339 2.34 2.341 2.342 2.343

</pre>

2.196 2.197 2.198 2.199 2.2 2.201 2.202 2.203 2.204 2.205 2.206 2.207 2.208 2.209 2.21 2.211 2.212 2.213 2.214 2.215 2.216 2.217 2.218 2.219 2.22 2.221 2.222 2.223 2.224 2.225 2.226 2.227 2.228 2.229 2.23 2.231 2.232 2.233 2.234 2.235 2.236 2.237 2.238 2.239 2.24 2.241 2.242 2.243 2.244 2.245 2.246 2.247 2.248 2.249 2.25 2.251 2.2520000000000002 2.253 2.254 2.255 2.2560000000000002 2.257 2.258 2.259 2.2600000000000002 2.261 2.262 2.263 2.2640000000000002 2.265 2.266 2.267 2.2680000000000002 2.269 2.27 2.271 2.2720000000000002 2.273 2.274 2.275 2.2760000000000002 2.277 2.278 2.279 2.2800000000000002 2.281 2.282 2.283 2.2840000000000003 2.285 2.286 2.287 2.2880000000000003 2.289 2.29 2.291 2.2920000000000003 2.293 2.294 2.295 2.2960000000000003 2.297 2.298 2.299 2.3000000000000003 2.301 2.302 2.303 2.3040000000000003 2.305 2.306 2.307 2.308 2.309 2.31 2.311 2.312 2.313 2.314 2.315 2.316 2.317 2.318 2.319 2.32 2.321 2.322 2.323 2.324 2.325 2.326 2.327 2.328 2.329 2.33 2.331 2.332 2.333 2.334 2.335 2.336 2.337 2.338 2.339 2.34 2.341 2.342 2.343

end{sphinxVerbatim}

2.196 2.197 2.198 2.199 2.2 2.201 2.202 2.203 2.204 2.205 2.206 2.207 2.208 2.209 2.21 2.211 2.212 2.213 2.214 2.215 2.216 2.217 2.218 2.219 2.22 2.221 2.222 2.223 2.224 2.225 2.226 2.227 2.228 2.229 2.23 2.231 2.232 2.233 2.234 2.235 2.236 2.237 2.238 2.239 2.24 2.241 2.242 2.243 2.244 2.245 2.246 2.247 2.248 2.249 2.25 2.251 2.2520000000000002 2.253 2.254 2.255 2.2560000000000002 2.257 2.258 2.259 2.2600000000000002 2.261 2.262 2.263 2.2640000000000002 2.265 2.266 2.267 2.2680000000000002 2.269 2.27 2.271 2.2720000000000002 2.273 2.274 2.275 2.2760000000000002 2.277 2.278 2.279 2.2800000000000002 2.281 2.282 2.283 2.2840000000000003 2.285 2.286 2.287 2.2880000000000003 2.289 2.29 2.291 2.2920000000000003 2.293 2.294 2.295 2.2960000000000003 2.297 2.298 2.299 2.3000000000000003 2.301 2.302 2.303 2.3040000000000003 2.305 2.306 2.307 2.308 2.309 2.31 2.311 2.312 2.313 2.314 2.315 2.316 2.317 2.318 2.319 2.32 2.321 2.322 2.323 2.324 2.325 2.326 2.327 2.328 2.329 2.33 2.331 2.332 2.333 2.334 2.335 2.336 2.337 2.338 2.339 2.34 2.341 2.342 2.343

more-to-come:

2.344 2.345 2.346 2.347 2.348 2.349 2.35 2.351 2.352 2.353 2.354 2.355 2.356 2.357 2.358 2.359 2.36 2.361 2.362 2.363 2.364 2.365 2.366 2.367 2.368 2.369 2.37 2.371 2.372 2.373 2.374 2.375 2.376 2.3770000000000002 2.378 2.379 2.38 2.3810000000000002 2.382 2.383 2.384 2.3850000000000002 2.386 2.387 2.388 2.3890000000000002 2.39 2.391 2.392 2.3930000000000002 2.394 2.395 2.396 2.3970000000000002 2.398 2.399 2.4 2.4010000000000002 2.402 2.403 2.404 2.4050000000000002 2.406 2.407 2.408 2.4090000000000003 2.41 2.411 2.412 2.4130000000000003 2.414 2.415 2.416 2.4170000000000003 2.418 2.419 2.42 2.4210000000000003 2.422 2.423 2.424 2.4250000000000003 2.426 2.427 2.428 2.4290000000000003 2.43 2.431 2.432 2.433 2.434 2.435 2.436 2.437 2.438 2.439 2.44 2.441 2.442 2.443 2.444 2.445 2.446 2.447 2.448 2.449 2.45 2.451 2.452 2.453 2.454 2.455 2.456 2.457 2.458 2.459 2.46 2.461 2.462 2.463 2.464 2.465 2.466 2.467 2.468 2.469 2.47 2.471 2.472 2.473 2.474 2.475 2.476 2.477 2.478 2.479 2.48 2.481 2.482 2.483 2.484 2.485 2.486 2.487 2.488 2.489 2.49 2.491 2.492 2.493 2.494 2.495 2.496 2.497 2.498 2.499 2.5 2.501 2.5020000000000002 2.503 2.504 2.505 2.5060000000000002 2.507 2.508 2.509 2.5100000000000002 2.511 2.512 2.513 2.5140000000000002 2.515 2.516 2.517 2.5180000000000002 2.519 2.52 2.521 2.5220000000000002 2.523 2.524 2.525 2.5260000000000002 2.527 2.528 2.529 2.5300000000000002 2.531 2.532 2.533 2.5340000000000003 2.535 2.536 2.537 2.5380000000000003 2.539 2.54 2.541 2.5420000000000003 2.543 2.544 2.545 2.5460000000000003 2.547 2.548 2.549 2.5500000000000003 2.551 2.552 2.553 2.5540000000000003 2.555 2.556 2.557 2.5580000000000003 2.559 2.56 2.561 2.562 2.563 2.564 2.565 2.566 2.567 2.568 2.569 2.57 2.571 2.572 2.573 2.574 2.575 2.576 2.577 2.578 2.579 2.58 2.581 2.582 2.583 2.584 2.585 2.586 2.587 2.588 2.589 2.59 2.591 2.592 2.593 2.594 2.595 2.596 2.597 2.598 2.599 2.6 2.601 2.602 2.603 2.604 2.605 2.606 2.607 2.608 2.609 2.61 2.611 2.612 2.613 2.614 2.615 2.616 2.617 2.618 2.619 2.62 2.621 2.622 2.623 2.624 2.625 2.626 2.6270000000000002 2.628 2.629 2.63 2.6310000000000002 2.632 2.633 2.634 2.6350000000000002 2.636 2.637 2.638 2.6390000000000002 2.64 2.641 2.642 2.6430000000000002 2.644 2.645 2.646 2.6470000000000002 2.648 2.649 2.65 2.6510000000000002 2.652 2.653 2.654 2.6550000000000002 2.656 2.657 2.658 2.6590000000000003 2.66 2.661 2.662 2.6630000000000003 2.664 2.665 2.666 2.6670000000000003 2.668 2.669 2.67 2.6710000000000003 2.672 2.673 2.674 2.6750000000000003 2.676 2.677 2.678 2.6790000000000003 2.68 2.681 2.682 2.6830000000000003 2.684 2.685 2.686 2.6870000000000003 2.688 2.689 2.69 2.691 2.692 2.693 2.694 2.695 2.696 2.697 2.698 2.699 2.7 2.701 2.702 2.703 2.704 2.705 2.706 2.707 2.708 2.709 2.71 2.711 2.712 2.713 2.714 2.715 2.716 2.717 2.718 2.719 2.72 2.721 2.722 2.723 2.724 2.725 2.726 2.727 2.728 2.729 2.73 2.731 2.732 2.733 2.734 2.735 2.736 2.737 2.738 2.739 2.74

</pre>

2.344 2.345 2.346 2.347 2.348 2.349 2.35 2.351 2.352 2.353 2.354 2.355 2.356 2.357 2.358 2.359 2.36 2.361 2.362 2.363 2.364 2.365 2.366 2.367 2.368 2.369 2.37 2.371 2.372 2.373 2.374 2.375 2.376 2.3770000000000002 2.378 2.379 2.38 2.3810000000000002 2.382 2.383 2.384 2.3850000000000002 2.386 2.387 2.388 2.3890000000000002 2.39 2.391 2.392 2.3930000000000002 2.394 2.395 2.396 2.3970000000000002 2.398 2.399 2.4 2.4010000000000002 2.402 2.403 2.404 2.4050000000000002 2.406 2.407 2.408 2.4090000000000003 2.41 2.411 2.412 2.4130000000000003 2.414 2.415 2.416 2.4170000000000003 2.418 2.419 2.42 2.4210000000000003 2.422 2.423 2.424 2.4250000000000003 2.426 2.427 2.428 2.4290000000000003 2.43 2.431 2.432 2.433 2.434 2.435 2.436 2.437 2.438 2.439 2.44 2.441 2.442 2.443 2.444 2.445 2.446 2.447 2.448 2.449 2.45 2.451 2.452 2.453 2.454 2.455 2.456 2.457 2.458 2.459 2.46 2.461 2.462 2.463 2.464 2.465 2.466 2.467 2.468 2.469 2.47 2.471 2.472 2.473 2.474 2.475 2.476 2.477 2.478 2.479 2.48 2.481 2.482 2.483 2.484 2.485 2.486 2.487 2.488 2.489 2.49 2.491 2.492 2.493 2.494 2.495 2.496 2.497 2.498 2.499 2.5 2.501 2.5020000000000002 2.503 2.504 2.505 2.5060000000000002 2.507 2.508 2.509 2.5100000000000002 2.511 2.512 2.513 2.5140000000000002 2.515 2.516 2.517 2.5180000000000002 2.519 2.52 2.521 2.5220000000000002 2.523 2.524 2.525 2.5260000000000002 2.527 2.528 2.529 2.5300000000000002 2.531 2.532 2.533 2.5340000000000003 2.535 2.536 2.537 2.5380000000000003 2.539 2.54 2.541 2.5420000000000003 2.543 2.544 2.545 2.5460000000000003 2.547 2.548 2.549 2.5500000000000003 2.551 2.552 2.553 2.5540000000000003 2.555 2.556 2.557 2.5580000000000003 2.559 2.56 2.561 2.562 2.563 2.564 2.565 2.566 2.567 2.568 2.569 2.57 2.571 2.572 2.573 2.574 2.575 2.576 2.577 2.578 2.579 2.58 2.581 2.582 2.583 2.584 2.585 2.586 2.587 2.588 2.589 2.59 2.591 2.592 2.593 2.594 2.595 2.596 2.597 2.598 2.599 2.6 2.601 2.602 2.603 2.604 2.605 2.606 2.607 2.608 2.609 2.61 2.611 2.612 2.613 2.614 2.615 2.616 2.617 2.618 2.619 2.62 2.621 2.622 2.623 2.624 2.625 2.626 2.6270000000000002 2.628 2.629 2.63 2.6310000000000002 2.632 2.633 2.634 2.6350000000000002 2.636 2.637 2.638 2.6390000000000002 2.64 2.641 2.642 2.6430000000000002 2.644 2.645 2.646 2.6470000000000002 2.648 2.649 2.65 2.6510000000000002 2.652 2.653 2.654 2.6550000000000002 2.656 2.657 2.658 2.6590000000000003 2.66 2.661 2.662 2.6630000000000003 2.664 2.665 2.666 2.6670000000000003 2.668 2.669 2.67 2.6710000000000003 2.672 2.673 2.674 2.6750000000000003 2.676 2.677 2.678 2.6790000000000003 2.68 2.681 2.682 2.6830000000000003 2.684 2.685 2.686 2.6870000000000003 2.688 2.689 2.69 2.691 2.692 2.693 2.694 2.695 2.696 2.697 2.698 2.699 2.7 2.701 2.702 2.703 2.704 2.705 2.706 2.707 2.708 2.709 2.71 2.711 2.712 2.713 2.714 2.715 2.716 2.717 2.718 2.719 2.72 2.721 2.722 2.723 2.724 2.725 2.726 2.727 2.728 2.729 2.73 2.731 2.732 2.733 2.734 2.735 2.736 2.737 2.738 2.739 2.74

end{sphinxVerbatim}

2.344 2.345 2.346 2.347 2.348 2.349 2.35 2.351 2.352 2.353 2.354 2.355 2.356 2.357 2.358 2.359 2.36 2.361 2.362 2.363 2.364 2.365 2.366 2.367 2.368 2.369 2.37 2.371 2.372 2.373 2.374 2.375 2.376 2.3770000000000002 2.378 2.379 2.38 2.3810000000000002 2.382 2.383 2.384 2.3850000000000002 2.386 2.387 2.388 2.3890000000000002 2.39 2.391 2.392 2.3930000000000002 2.394 2.395 2.396 2.3970000000000002 2.398 2.399 2.4 2.4010000000000002 2.402 2.403 2.404 2.4050000000000002 2.406 2.407 2.408 2.4090000000000003 2.41 2.411 2.412 2.4130000000000003 2.414 2.415 2.416 2.4170000000000003 2.418 2.419 2.42 2.4210000000000003 2.422 2.423 2.424 2.4250000000000003 2.426 2.427 2.428 2.4290000000000003 2.43 2.431 2.432 2.433 2.434 2.435 2.436 2.437 2.438 2.439 2.44 2.441 2.442 2.443 2.444 2.445 2.446 2.447 2.448 2.449 2.45 2.451 2.452 2.453 2.454 2.455 2.456 2.457 2.458 2.459 2.46 2.461 2.462 2.463 2.464 2.465 2.466 2.467 2.468 2.469 2.47 2.471 2.472 2.473 2.474 2.475 2.476 2.477 2.478 2.479 2.48 2.481 2.482 2.483 2.484 2.485 2.486 2.487 2.488 2.489 2.49 2.491 2.492 2.493 2.494 2.495 2.496 2.497 2.498 2.499 2.5 2.501 2.5020000000000002 2.503 2.504 2.505 2.5060000000000002 2.507 2.508 2.509 2.5100000000000002 2.511 2.512 2.513 2.5140000000000002 2.515 2.516 2.517 2.5180000000000002 2.519 2.52 2.521 2.5220000000000002 2.523 2.524 2.525 2.5260000000000002 2.527 2.528 2.529 2.5300000000000002 2.531 2.532 2.533 2.5340000000000003 2.535 2.536 2.537 2.5380000000000003 2.539 2.54 2.541 2.5420000000000003 2.543 2.544 2.545 2.5460000000000003 2.547 2.548 2.549 2.5500000000000003 2.551 2.552 2.553 2.5540000000000003 2.555 2.556 2.557 2.5580000000000003 2.559 2.56 2.561 2.562 2.563 2.564 2.565 2.566 2.567 2.568 2.569 2.57 2.571 2.572 2.573 2.574 2.575 2.576 2.577 2.578 2.579 2.58 2.581 2.582 2.583 2.584 2.585 2.586 2.587 2.588 2.589 2.59 2.591 2.592 2.593 2.594 2.595 2.596 2.597 2.598 2.599 2.6 2.601 2.602 2.603 2.604 2.605 2.606 2.607 2.608 2.609 2.61 2.611 2.612 2.613 2.614 2.615 2.616 2.617 2.618 2.619 2.62 2.621 2.622 2.623 2.624 2.625 2.626 2.6270000000000002 2.628 2.629 2.63 2.6310000000000002 2.632 2.633 2.634 2.6350000000000002 2.636 2.637 2.638 2.6390000000000002 2.64 2.641 2.642 2.6430000000000002 2.644 2.645 2.646 2.6470000000000002 2.648 2.649 2.65 2.6510000000000002 2.652 2.653 2.654 2.6550000000000002 2.656 2.657 2.658 2.6590000000000003 2.66 2.661 2.662 2.6630000000000003 2.664 2.665 2.666 2.6670000000000003 2.668 2.669 2.67 2.6710000000000003 2.672 2.673 2.674 2.6750000000000003 2.676 2.677 2.678 2.6790000000000003 2.68 2.681 2.682 2.6830000000000003 2.684 2.685 2.686 2.6870000000000003 2.688 2.689 2.69 2.691 2.692 2.693 2.694 2.695 2.696 2.697 2.698 2.699 2.7 2.701 2.702 2.703 2.704 2.705 2.706 2.707 2.708 2.709 2.71 2.711 2.712 2.713 2.714 2.715 2.716 2.717 2.718 2.719 2.72 2.721 2.722 2.723 2.724 2.725 2.726 2.727 2.728 2.729 2.73 2.731 2.732 2.733 2.734 2.735 2.736 2.737 2.738 2.739 2.74

more-to-come:

2.741 2.742 2.743 2.744 2.745 2.746 2.747 2.748 2.749 2.75 2.751 2.7520000000000002 2.753 2.754 2.755 2.7560000000000002 2.757 2.758 2.759 2.7600000000000002 2.761 2.762 2.763 2.7640000000000002 2.765 2.766 2.767 2.7680000000000002 2.769 2.77 2.771 2.7720000000000002 2.773 2.774 2.775 2.7760000000000002 2.777 2.778 2.779 2.7800000000000002 2.781 2.782 2.783 2.7840000000000003 2.785 2.786 2.787 2.7880000000000003 2.789 2.79 2.791 2.7920000000000003 2.793 2.794 2.795 2.7960000000000003 2.797 2.798 2.799 2.8000000000000003 2.801 2.802 2.803 2.8040000000000003 2.805 2.806 2.807 2.8080000000000003 2.809 2.81 2.811 2.8120000000000003 2.813 2.814 2.815 2.816 2.817 2.818 2.819 2.82 2.821 2.822 2.823 2.824 2.825 2.826 2.827 2.828 2.829 2.83 2.831 2.832 2.833 2.834 2.835 2.836 2.837 2.838 2.839 2.84 2.841 2.842 2.843 2.844 2.845 2.846 2.847 2.848 2.849 2.85 2.851 2.852 2.853 2.854 2.855 2.856 2.857 2.858 2.859 2.86 2.861 2.862 2.863 2.864 2.865 2.866 2.867 2.868 2.869 2.87 2.871 2.872 2.873 2.874 2.875 2.876 2.8770000000000002 2.878 2.879 2.88 2.8810000000000002 2.882 2.883 2.884 2.8850000000000002 2.886 2.887 2.888

</pre>

2.741 2.742 2.743 2.744 2.745 2.746 2.747 2.748 2.749 2.75 2.751 2.7520000000000002 2.753 2.754 2.755 2.7560000000000002 2.757 2.758 2.759 2.7600000000000002 2.761 2.762 2.763 2.7640000000000002 2.765 2.766 2.767 2.7680000000000002 2.769 2.77 2.771 2.7720000000000002 2.773 2.774 2.775 2.7760000000000002 2.777 2.778 2.779 2.7800000000000002 2.781 2.782 2.783 2.7840000000000003 2.785 2.786 2.787 2.7880000000000003 2.789 2.79 2.791 2.7920000000000003 2.793 2.794 2.795 2.7960000000000003 2.797 2.798 2.799 2.8000000000000003 2.801 2.802 2.803 2.8040000000000003 2.805 2.806 2.807 2.8080000000000003 2.809 2.81 2.811 2.8120000000000003 2.813 2.814 2.815 2.816 2.817 2.818 2.819 2.82 2.821 2.822 2.823 2.824 2.825 2.826 2.827 2.828 2.829 2.83 2.831 2.832 2.833 2.834 2.835 2.836 2.837 2.838 2.839 2.84 2.841 2.842 2.843 2.844 2.845 2.846 2.847 2.848 2.849 2.85 2.851 2.852 2.853 2.854 2.855 2.856 2.857 2.858 2.859 2.86 2.861 2.862 2.863 2.864 2.865 2.866 2.867 2.868 2.869 2.87 2.871 2.872 2.873 2.874 2.875 2.876 2.8770000000000002 2.878 2.879 2.88 2.8810000000000002 2.882 2.883 2.884 2.8850000000000002 2.886 2.887 2.888

end{sphinxVerbatim}

2.741 2.742 2.743 2.744 2.745 2.746 2.747 2.748 2.749 2.75 2.751 2.7520000000000002 2.753 2.754 2.755 2.7560000000000002 2.757 2.758 2.759 2.7600000000000002 2.761 2.762 2.763 2.7640000000000002 2.765 2.766 2.767 2.7680000000000002 2.769 2.77 2.771 2.7720000000000002 2.773 2.774 2.775 2.7760000000000002 2.777 2.778 2.779 2.7800000000000002 2.781 2.782 2.783 2.7840000000000003 2.785 2.786 2.787 2.7880000000000003 2.789 2.79 2.791 2.7920000000000003 2.793 2.794 2.795 2.7960000000000003 2.797 2.798 2.799 2.8000000000000003 2.801 2.802 2.803 2.8040000000000003 2.805 2.806 2.807 2.8080000000000003 2.809 2.81 2.811 2.8120000000000003 2.813 2.814 2.815 2.816 2.817 2.818 2.819 2.82 2.821 2.822 2.823 2.824 2.825 2.826 2.827 2.828 2.829 2.83 2.831 2.832 2.833 2.834 2.835 2.836 2.837 2.838 2.839 2.84 2.841 2.842 2.843 2.844 2.845 2.846 2.847 2.848 2.849 2.85 2.851 2.852 2.853 2.854 2.855 2.856 2.857 2.858 2.859 2.86 2.861 2.862 2.863 2.864 2.865 2.866 2.867 2.868 2.869 2.87 2.871 2.872 2.873 2.874 2.875 2.876 2.8770000000000002 2.878 2.879 2.88 2.8810000000000002 2.882 2.883 2.884 2.8850000000000002 2.886 2.887 2.888

more-to-come:

2.8890000000000002 2.89 2.891 2.892 2.8930000000000002 2.894 2.895 2.896 2.8970000000000002 2.898 2.899 2.9 2.9010000000000002 2.902 2.903 2.904 2.9050000000000002 2.906 2.907 2.908 2.9090000000000003 2.91 2.911 2.912 2.9130000000000003 2.914 2.915 2.916 2.9170000000000003 2.918 2.919 2.92 2.9210000000000003 2.922 2.923 2.924 2.9250000000000003 2.926 2.927 2.928 2.9290000000000003 2.93 2.931 2.932 2.9330000000000003 2.934 2.935 2.936 2.9370000000000003 2.938 2.939 2.94 2.9410000000000003 2.942 2.943 2.944 2.945 2.946 2.947 2.948 2.949 2.95 2.951 2.952 2.953 2.954 2.955 2.956 2.957 2.958 2.959 2.96 2.961 2.962 2.963 2.964 2.965 2.966 2.967 2.968 2.969 2.97 2.971 2.972 2.973 2.974 2.975 2.976 2.977 2.978 2.979 2.98 2.981 2.982 2.983 2.984 2.985 2.986 2.987 2.988 2.989 2.99 2.991 2.992 2.993 2.994 2.995 2.996 2.997 2.998 2.999 3.0 3.001 3.0020000000000002 3.003 3.004 3.005 3.0060000000000002 3.007 3.008 3.009 3.0100000000000002 3.011 3.012 3.013 3.0140000000000002 3.015 3.016 3.017 3.0180000000000002 3.019 3.02 3.021 3.0220000000000002 3.023 3.024 3.025 3.0260000000000002 3.027 3.028 3.029 3.0300000000000002 3.031 3.032 3.033 3.0340000000000003 3.035 3.036 3.037 3.0380000000000003 3.039 3.04 3.041 3.0420000000000003 3.043 3.044 3.045 3.0460000000000003 3.047 3.048 3.049 3.0500000000000003 3.051 3.052 3.053 3.0540000000000003 3.055 3.056 3.057 3.0580000000000003 3.059 3.06 3.061 3.0620000000000003 3.063 3.064 3.065 3.0660000000000003 3.067 3.068 3.069 3.0700000000000003 3.071 3.072 3.073 3.074 3.075 3.076 3.077 3.078 3.079 3.08 3.081 3.082 3.083 3.084 3.085 3.086 3.087 3.088 3.089 3.09 3.091 3.092 3.093 3.094 3.095 3.096 3.097 3.098 3.099 3.1 3.101 3.102 3.103 3.104 3.105 3.106 3.107 3.108 3.109 3.11 3.111 3.112 3.113 3.114 3.115 3.116 3.117 3.118 3.119 3.12 3.121 3.122 3.123 3.124 3.125 3.126 3.1270000000000002 3.128 3.129 3.13 3.1310000000000002 3.132 3.133 3.134 3.1350000000000002 3.136 3.137 3.138 3.1390000000000002 3.14 3.141 3.142 3.1430000000000002 3.144 3.145 3.146 3.1470000000000002 3.148 3.149 3.15 3.1510000000000002 3.152 3.153 3.154 3.1550000000000002 3.156 3.157 3.158 3.1590000000000003 3.16 3.161 3.162 3.1630000000000003 3.164 3.165 3.166 3.1670000000000003 3.168 3.169 3.17 3.1710000000000003 3.172 3.173 3.174 3.1750000000000003 3.176 3.177 3.178 3.1790000000000003 3.18 3.181 3.182 3.1830000000000003 3.184 3.185 3.186 3.1870000000000003 3.188 3.189 3.19 3.1910000000000003 3.192 3.193 3.194 3.1950000000000003 3.196 3.197 3.198 3.1990000000000003 3.2 3.201 3.202 3.203 3.204 3.205 3.206 3.207 3.208 3.209 3.21 3.211 3.212 3.213 3.214 3.215 3.216 3.217 3.218 3.219 3.22 3.221 3.222 3.223 3.224 3.225 3.226 3.227 3.228 3.229 3.23 3.231 3.232 3.233 3.234 3.235 3.236 3.237 3.238 3.239 3.24 3.241 3.242 3.243 3.244 3.245 3.246 3.247 3.248 3.249 3.25 3.251 3.2520000000000002 3.253 3.254 3.255 3.2560000000000002 3.257 3.258 3.259 3.2600000000000002 3.261 3.262 3.263 3.2640000000000002 3.265 3.266 3.267 3.2680000000000002 3.269 3.27 3.271 3.2720000000000002 3.273 3.274 3.275 3.2760000000000002 3.277 3.278 3.279 3.2800000000000002 3.281

</pre>

2.8890000000000002 2.89 2.891 2.892 2.8930000000000002 2.894 2.895 2.896 2.8970000000000002 2.898 2.899 2.9 2.9010000000000002 2.902 2.903 2.904 2.9050000000000002 2.906 2.907 2.908 2.9090000000000003 2.91 2.911 2.912 2.9130000000000003 2.914 2.915 2.916 2.9170000000000003 2.918 2.919 2.92 2.9210000000000003 2.922 2.923 2.924 2.9250000000000003 2.926 2.927 2.928 2.9290000000000003 2.93 2.931 2.932 2.9330000000000003 2.934 2.935 2.936 2.9370000000000003 2.938 2.939 2.94 2.9410000000000003 2.942 2.943 2.944 2.945 2.946 2.947 2.948 2.949 2.95 2.951 2.952 2.953 2.954 2.955 2.956 2.957 2.958 2.959 2.96 2.961 2.962 2.963 2.964 2.965 2.966 2.967 2.968 2.969 2.97 2.971 2.972 2.973 2.974 2.975 2.976 2.977 2.978 2.979 2.98 2.981 2.982 2.983 2.984 2.985 2.986 2.987 2.988 2.989 2.99 2.991 2.992 2.993 2.994 2.995 2.996 2.997 2.998 2.999 3.0 3.001 3.0020000000000002 3.003 3.004 3.005 3.0060000000000002 3.007 3.008 3.009 3.0100000000000002 3.011 3.012 3.013 3.0140000000000002 3.015 3.016 3.017 3.0180000000000002 3.019 3.02 3.021 3.0220000000000002 3.023 3.024 3.025 3.0260000000000002 3.027 3.028 3.029 3.0300000000000002 3.031 3.032 3.033 3.0340000000000003 3.035 3.036 3.037 3.0380000000000003 3.039 3.04 3.041 3.0420000000000003 3.043 3.044 3.045 3.0460000000000003 3.047 3.048 3.049 3.0500000000000003 3.051 3.052 3.053 3.0540000000000003 3.055 3.056 3.057 3.0580000000000003 3.059 3.06 3.061 3.0620000000000003 3.063 3.064 3.065 3.0660000000000003 3.067 3.068 3.069 3.0700000000000003 3.071 3.072 3.073 3.074 3.075 3.076 3.077 3.078 3.079 3.08 3.081 3.082 3.083 3.084 3.085 3.086 3.087 3.088 3.089 3.09 3.091 3.092 3.093 3.094 3.095 3.096 3.097 3.098 3.099 3.1 3.101 3.102 3.103 3.104 3.105 3.106 3.107 3.108 3.109 3.11 3.111 3.112 3.113 3.114 3.115 3.116 3.117 3.118 3.119 3.12 3.121 3.122 3.123 3.124 3.125 3.126 3.1270000000000002 3.128 3.129 3.13 3.1310000000000002 3.132 3.133 3.134 3.1350000000000002 3.136 3.137 3.138 3.1390000000000002 3.14 3.141 3.142 3.1430000000000002 3.144 3.145 3.146 3.1470000000000002 3.148 3.149 3.15 3.1510000000000002 3.152 3.153 3.154 3.1550000000000002 3.156 3.157 3.158 3.1590000000000003 3.16 3.161 3.162 3.1630000000000003 3.164 3.165 3.166 3.1670000000000003 3.168 3.169 3.17 3.1710000000000003 3.172 3.173 3.174 3.1750000000000003 3.176 3.177 3.178 3.1790000000000003 3.18 3.181 3.182 3.1830000000000003 3.184 3.185 3.186 3.1870000000000003 3.188 3.189 3.19 3.1910000000000003 3.192 3.193 3.194 3.1950000000000003 3.196 3.197 3.198 3.1990000000000003 3.2 3.201 3.202 3.203 3.204 3.205 3.206 3.207 3.208 3.209 3.21 3.211 3.212 3.213 3.214 3.215 3.216 3.217 3.218 3.219 3.22 3.221 3.222 3.223 3.224 3.225 3.226 3.227 3.228 3.229 3.23 3.231 3.232 3.233 3.234 3.235 3.236 3.237 3.238 3.239 3.24 3.241 3.242 3.243 3.244 3.245 3.246 3.247 3.248 3.249 3.25 3.251 3.2520000000000002 3.253 3.254 3.255 3.2560000000000002 3.257 3.258 3.259 3.2600000000000002 3.261 3.262 3.263 3.2640000000000002 3.265 3.266 3.267 3.2680000000000002 3.269 3.27 3.271 3.2720000000000002 3.273 3.274 3.275 3.2760000000000002 3.277 3.278 3.279 3.2800000000000002 3.281

end{sphinxVerbatim}

2.8890000000000002 2.89 2.891 2.892 2.8930000000000002 2.894 2.895 2.896 2.8970000000000002 2.898 2.899 2.9 2.9010000000000002 2.902 2.903 2.904 2.9050000000000002 2.906 2.907 2.908 2.9090000000000003 2.91 2.911 2.912 2.9130000000000003 2.914 2.915 2.916 2.9170000000000003 2.918 2.919 2.92 2.9210000000000003 2.922 2.923 2.924 2.9250000000000003 2.926 2.927 2.928 2.9290000000000003 2.93 2.931 2.932 2.9330000000000003 2.934 2.935 2.936 2.9370000000000003 2.938 2.939 2.94 2.9410000000000003 2.942 2.943 2.944 2.945 2.946 2.947 2.948 2.949 2.95 2.951 2.952 2.953 2.954 2.955 2.956 2.957 2.958 2.959 2.96 2.961 2.962 2.963 2.964 2.965 2.966 2.967 2.968 2.969 2.97 2.971 2.972 2.973 2.974 2.975 2.976 2.977 2.978 2.979 2.98 2.981 2.982 2.983 2.984 2.985 2.986 2.987 2.988 2.989 2.99 2.991 2.992 2.993 2.994 2.995 2.996 2.997 2.998 2.999 3.0 3.001 3.0020000000000002 3.003 3.004 3.005 3.0060000000000002 3.007 3.008 3.009 3.0100000000000002 3.011 3.012 3.013 3.0140000000000002 3.015 3.016 3.017 3.0180000000000002 3.019 3.02 3.021 3.0220000000000002 3.023 3.024 3.025 3.0260000000000002 3.027 3.028 3.029 3.0300000000000002 3.031 3.032 3.033 3.0340000000000003 3.035 3.036 3.037 3.0380000000000003 3.039 3.04 3.041 3.0420000000000003 3.043 3.044 3.045 3.0460000000000003 3.047 3.048 3.049 3.0500000000000003 3.051 3.052 3.053 3.0540000000000003 3.055 3.056 3.057 3.0580000000000003 3.059 3.06 3.061 3.0620000000000003 3.063 3.064 3.065 3.0660000000000003 3.067 3.068 3.069 3.0700000000000003 3.071 3.072 3.073 3.074 3.075 3.076 3.077 3.078 3.079 3.08 3.081 3.082 3.083 3.084 3.085 3.086 3.087 3.088 3.089 3.09 3.091 3.092 3.093 3.094 3.095 3.096 3.097 3.098 3.099 3.1 3.101 3.102 3.103 3.104 3.105 3.106 3.107 3.108 3.109 3.11 3.111 3.112 3.113 3.114 3.115 3.116 3.117 3.118 3.119 3.12 3.121 3.122 3.123 3.124 3.125 3.126 3.1270000000000002 3.128 3.129 3.13 3.1310000000000002 3.132 3.133 3.134 3.1350000000000002 3.136 3.137 3.138 3.1390000000000002 3.14 3.141 3.142 3.1430000000000002 3.144 3.145 3.146 3.1470000000000002 3.148 3.149 3.15 3.1510000000000002 3.152 3.153 3.154 3.1550000000000002 3.156 3.157 3.158 3.1590000000000003 3.16 3.161 3.162 3.1630000000000003 3.164 3.165 3.166 3.1670000000000003 3.168 3.169 3.17 3.1710000000000003 3.172 3.173 3.174 3.1750000000000003 3.176 3.177 3.178 3.1790000000000003 3.18 3.181 3.182 3.1830000000000003 3.184 3.185 3.186 3.1870000000000003 3.188 3.189 3.19 3.1910000000000003 3.192 3.193 3.194 3.1950000000000003 3.196 3.197 3.198 3.1990000000000003 3.2 3.201 3.202 3.203 3.204 3.205 3.206 3.207 3.208 3.209 3.21 3.211 3.212 3.213 3.214 3.215 3.216 3.217 3.218 3.219 3.22 3.221 3.222 3.223 3.224 3.225 3.226 3.227 3.228 3.229 3.23 3.231 3.232 3.233 3.234 3.235 3.236 3.237 3.238 3.239 3.24 3.241 3.242 3.243 3.244 3.245 3.246 3.247 3.248 3.249 3.25 3.251 3.2520000000000002 3.253 3.254 3.255 3.2560000000000002 3.257 3.258 3.259 3.2600000000000002 3.261 3.262 3.263 3.2640000000000002 3.265 3.266 3.267 3.2680000000000002 3.269 3.27 3.271 3.2720000000000002 3.273 3.274 3.275 3.2760000000000002 3.277 3.278 3.279 3.2800000000000002 3.281

more-to-come:

3.282 3.283 3.2840000000000003 3.285 3.286 3.287 3.2880000000000003 3.289 3.29 3.291 3.2920000000000003 3.293 3.294 3.295 3.2960000000000003 3.297 3.298 3.299 3.3000000000000003 3.301 3.302 3.303 3.3040000000000003 3.305 3.306 3.307 3.3080000000000003 3.309 3.31 3.311 3.3120000000000003 3.313 3.314 3.315 3.3160000000000003 3.317 3.318 3.319 3.3200000000000003 3.321 3.322 3.323 3.3240000000000003 3.325 3.326 3.327 3.3280000000000003 3.329 3.33 3.331 3.332 3.333 3.334 3.335 3.336 3.337 3.338 3.339 3.34 3.341 3.342 3.343 3.344 3.345 3.346 3.347 3.348 3.349 3.35 3.351 3.352 3.353 3.354 3.355 3.356 3.357 3.358 3.359 3.36 3.361 3.362 3.363 3.364 3.365 3.366 3.367 3.368 3.369 3.37 3.371 3.372 3.373 3.374 3.375 3.376 3.3770000000000002 3.378 3.379 3.38 3.3810000000000002 3.382 3.383 3.384 3.3850000000000002 3.386 3.387 3.388 3.3890000000000002 3.39 3.391 3.392 3.3930000000000002 3.394 3.395 3.396 3.3970000000000002 3.398 3.399 3.4 3.4010000000000002 3.402 3.403 3.404 3.4050000000000002 3.406 3.407 3.408 3.4090000000000003 3.41

</pre>

3.282 3.283 3.2840000000000003 3.285 3.286 3.287 3.2880000000000003 3.289 3.29 3.291 3.2920000000000003 3.293 3.294 3.295 3.2960000000000003 3.297 3.298 3.299 3.3000000000000003 3.301 3.302 3.303 3.3040000000000003 3.305 3.306 3.307 3.3080000000000003 3.309 3.31 3.311 3.3120000000000003 3.313 3.314 3.315 3.3160000000000003 3.317 3.318 3.319 3.3200000000000003 3.321 3.322 3.323 3.3240000000000003 3.325 3.326 3.327 3.3280000000000003 3.329 3.33 3.331 3.332 3.333 3.334 3.335 3.336 3.337 3.338 3.339 3.34 3.341 3.342 3.343 3.344 3.345 3.346 3.347 3.348 3.349 3.35 3.351 3.352 3.353 3.354 3.355 3.356 3.357 3.358 3.359 3.36 3.361 3.362 3.363 3.364 3.365 3.366 3.367 3.368 3.369 3.37 3.371 3.372 3.373 3.374 3.375 3.376 3.3770000000000002 3.378 3.379 3.38 3.3810000000000002 3.382 3.383 3.384 3.3850000000000002 3.386 3.387 3.388 3.3890000000000002 3.39 3.391 3.392 3.3930000000000002 3.394 3.395 3.396 3.3970000000000002 3.398 3.399 3.4 3.4010000000000002 3.402 3.403 3.404 3.4050000000000002 3.406 3.407 3.408 3.4090000000000003 3.41

end{sphinxVerbatim}

3.282 3.283 3.2840000000000003 3.285 3.286 3.287 3.2880000000000003 3.289 3.29 3.291 3.2920000000000003 3.293 3.294 3.295 3.2960000000000003 3.297 3.298 3.299 3.3000000000000003 3.301 3.302 3.303 3.3040000000000003 3.305 3.306 3.307 3.3080000000000003 3.309 3.31 3.311 3.3120000000000003 3.313 3.314 3.315 3.3160000000000003 3.317 3.318 3.319 3.3200000000000003 3.321 3.322 3.323 3.3240000000000003 3.325 3.326 3.327 3.3280000000000003 3.329 3.33 3.331 3.332 3.333 3.334 3.335 3.336 3.337 3.338 3.339 3.34 3.341 3.342 3.343 3.344 3.345 3.346 3.347 3.348 3.349 3.35 3.351 3.352 3.353 3.354 3.355 3.356 3.357 3.358 3.359 3.36 3.361 3.362 3.363 3.364 3.365 3.366 3.367 3.368 3.369 3.37 3.371 3.372 3.373 3.374 3.375 3.376 3.3770000000000002 3.378 3.379 3.38 3.3810000000000002 3.382 3.383 3.384 3.3850000000000002 3.386 3.387 3.388 3.3890000000000002 3.39 3.391 3.392 3.3930000000000002 3.394 3.395 3.396 3.3970000000000002 3.398 3.399 3.4 3.4010000000000002 3.402 3.403 3.404 3.4050000000000002 3.406 3.407 3.408 3.4090000000000003 3.41

more-to-come:

3.411 3.412 3.4130000000000003 3.414 3.415 3.416 3.4170000000000003 3.418 3.419 3.42 3.4210000000000003 3.422 3.423 3.424 3.4250000000000003 3.426 3.427 3.428 3.4290000000000003 3.43 3.431 3.432 3.4330000000000003 3.434 3.435 3.436 3.4370000000000003 3.438 3.439 3.44 3.4410000000000003 3.442 3.443 3.444 3.4450000000000003 3.446 3.447 3.448 3.4490000000000003 3.45 3.451 3.452 3.4530000000000003 3.454 3.455 3.456 3.457 3.458 3.459 3.46 3.461 3.462 3.463 3.464 3.465 3.466 3.467 3.468 3.469 3.47 3.471 3.472 3.473 3.474 3.475 3.476 3.477 3.478 3.479 3.48 3.481 3.482 3.483 3.484 3.485 3.486 3.487 3.488 3.489 3.49 3.491 3.492 3.493 3.494 3.495 3.496 3.497 3.498 3.499 3.5 3.501 3.5020000000000002 3.503 3.504 3.505 3.5060000000000002 3.507 3.508 3.509 3.5100000000000002 3.511 3.512 3.513 3.5140000000000002 3.515 3.516 3.517 3.5180000000000002 3.519 3.52 3.521 3.5220000000000002 3.523 3.524 3.525 3.5260000000000002 3.527 3.528 3.529 3.5300000000000002 3.531 3.532 3.533 3.5340000000000003 3.535 3.536 3.537 3.5380000000000003 3.539 3.54 3.541 3.5420000000000003 3.543 3.544 3.545 3.5460000000000003 3.547 3.548 3.549 3.5500000000000003 3.551 3.552 3.553 3.5540000000000003 3.555 3.556 3.557 3.5580000000000003 3.559 3.56 3.561 3.5620000000000003 3.563 3.564 3.565 3.5660000000000003 3.567 3.568 3.569 3.5700000000000003 3.571 3.572 3.573 3.5740000000000003 3.575 3.576 3.577 3.5780000000000003 3.579 3.58 3.581 3.5820000000000003 3.583 3.584 3.585 3.586 3.587 3.588 3.589 3.59 3.591 3.592 3.593 3.594 3.595 3.596 3.597 3.598 3.599 3.6 3.601 3.602 3.603 3.604 3.605 3.606 3.607 3.608 3.609 3.61 3.611 3.612 3.613 3.614 3.615 3.616 3.617 3.618 3.619 3.62 3.621 3.622 3.623 3.624 3.625 3.626 3.6270000000000002 3.628 3.629 3.63 3.6310000000000002 3.632 3.633 3.634 3.6350000000000002 3.636 3.637 3.638 3.6390000000000002 3.64 3.641 3.642 3.6430000000000002 3.644 3.645 3.646 3.6470000000000002 3.648 3.649 3.65 3.6510000000000002 3.652 3.653 3.654 3.6550000000000002 3.656 3.657 3.658 3.6590000000000003 3.66 3.661 3.662 3.6630000000000003 3.664 3.665 3.666 3.6670000000000003 3.668 3.669 3.67 3.6710000000000003 3.672 3.673 3.674 3.6750000000000003 3.676 3.677 3.678 3.6790000000000003 3.68 3.681 3.682 3.6830000000000003 3.684 3.685 3.686 3.6870000000000003 3.688 3.689 3.69 3.6910000000000003 3.692 3.693 3.694 3.6950000000000003 3.696 3.697 3.698 3.6990000000000003 3.7 3.701 3.702 3.7030000000000003 3.704 3.705 3.706 3.7070000000000003 3.708 3.709 3.71 3.7110000000000003 3.712 3.713 3.714 3.715 3.716 3.717 3.718 3.719 3.72 3.721 3.722 3.723 3.724 3.725 3.726 3.727 3.728 3.729 3.73 3.731 3.732 3.733 3.734 3.735 3.736 3.737 3.738 3.739 3.74 3.741 3.742 3.743 3.744 3.745 3.746 3.747 3.748 3.749 3.75 3.751 3.7520000000000002 3.753 3.754 3.755 3.7560000000000002 3.757 3.758 3.759 3.7600000000000002 3.761 3.762 3.763 3.7640000000000002 3.765 3.766 3.767 3.7680000000000002 3.769 3.77 3.771 3.7720000000000002 3.773 3.774 3.775 3.7760000000000002 3.777 3.778 3.779 3.7800000000000002 3.781 3.782 3.783 3.7840000000000003 3.785 3.786 3.787 3.7880000000000003 3.789 3.79 3.791 3.7920000000000003 3.793 3.794 3.795 3.7960000000000003 3.797 3.798 3.799 3.8000000000000003 3.801 3.802 3.803 3.8040000000000003 3.805 3.806 3.807 3.8080000000000003 3.809

</pre>

3.411 3.412 3.4130000000000003 3.414 3.415 3.416 3.4170000000000003 3.418 3.419 3.42 3.4210000000000003 3.422 3.423 3.424 3.4250000000000003 3.426 3.427 3.428 3.4290000000000003 3.43 3.431 3.432 3.4330000000000003 3.434 3.435 3.436 3.4370000000000003 3.438 3.439 3.44 3.4410000000000003 3.442 3.443 3.444 3.4450000000000003 3.446 3.447 3.448 3.4490000000000003 3.45 3.451 3.452 3.4530000000000003 3.454 3.455 3.456 3.457 3.458 3.459 3.46 3.461 3.462 3.463 3.464 3.465 3.466 3.467 3.468 3.469 3.47 3.471 3.472 3.473 3.474 3.475 3.476 3.477 3.478 3.479 3.48 3.481 3.482 3.483 3.484 3.485 3.486 3.487 3.488 3.489 3.49 3.491 3.492 3.493 3.494 3.495 3.496 3.497 3.498 3.499 3.5 3.501 3.5020000000000002 3.503 3.504 3.505 3.5060000000000002 3.507 3.508 3.509 3.5100000000000002 3.511 3.512 3.513 3.5140000000000002 3.515 3.516 3.517 3.5180000000000002 3.519 3.52 3.521 3.5220000000000002 3.523 3.524 3.525 3.5260000000000002 3.527 3.528 3.529 3.5300000000000002 3.531 3.532 3.533 3.5340000000000003 3.535 3.536 3.537 3.5380000000000003 3.539 3.54 3.541 3.5420000000000003 3.543 3.544 3.545 3.5460000000000003 3.547 3.548 3.549 3.5500000000000003 3.551 3.552 3.553 3.5540000000000003 3.555 3.556 3.557 3.5580000000000003 3.559 3.56 3.561 3.5620000000000003 3.563 3.564 3.565 3.5660000000000003 3.567 3.568 3.569 3.5700000000000003 3.571 3.572 3.573 3.5740000000000003 3.575 3.576 3.577 3.5780000000000003 3.579 3.58 3.581 3.5820000000000003 3.583 3.584 3.585 3.586 3.587 3.588 3.589 3.59 3.591 3.592 3.593 3.594 3.595 3.596 3.597 3.598 3.599 3.6 3.601 3.602 3.603 3.604 3.605 3.606 3.607 3.608 3.609 3.61 3.611 3.612 3.613 3.614 3.615 3.616 3.617 3.618 3.619 3.62 3.621 3.622 3.623 3.624 3.625 3.626 3.6270000000000002 3.628 3.629 3.63 3.6310000000000002 3.632 3.633 3.634 3.6350000000000002 3.636 3.637 3.638 3.6390000000000002 3.64 3.641 3.642 3.6430000000000002 3.644 3.645 3.646 3.6470000000000002 3.648 3.649 3.65 3.6510000000000002 3.652 3.653 3.654 3.6550000000000002 3.656 3.657 3.658 3.6590000000000003 3.66 3.661 3.662 3.6630000000000003 3.664 3.665 3.666 3.6670000000000003 3.668 3.669 3.67 3.6710000000000003 3.672 3.673 3.674 3.6750000000000003 3.676 3.677 3.678 3.6790000000000003 3.68 3.681 3.682 3.6830000000000003 3.684 3.685 3.686 3.6870000000000003 3.688 3.689 3.69 3.6910000000000003 3.692 3.693 3.694 3.6950000000000003 3.696 3.697 3.698 3.6990000000000003 3.7 3.701 3.702 3.7030000000000003 3.704 3.705 3.706 3.7070000000000003 3.708 3.709 3.71 3.7110000000000003 3.712 3.713 3.714 3.715 3.716 3.717 3.718 3.719 3.72 3.721 3.722 3.723 3.724 3.725 3.726 3.727 3.728 3.729 3.73 3.731 3.732 3.733 3.734 3.735 3.736 3.737 3.738 3.739 3.74 3.741 3.742 3.743 3.744 3.745 3.746 3.747 3.748 3.749 3.75 3.751 3.7520000000000002 3.753 3.754 3.755 3.7560000000000002 3.757 3.758 3.759 3.7600000000000002 3.761 3.762 3.763 3.7640000000000002 3.765 3.766 3.767 3.7680000000000002 3.769 3.77 3.771 3.7720000000000002 3.773 3.774 3.775 3.7760000000000002 3.777 3.778 3.779 3.7800000000000002 3.781 3.782 3.783 3.7840000000000003 3.785 3.786 3.787 3.7880000000000003 3.789 3.79 3.791 3.7920000000000003 3.793 3.794 3.795 3.7960000000000003 3.797 3.798 3.799 3.8000000000000003 3.801 3.802 3.803 3.8040000000000003 3.805 3.806 3.807 3.8080000000000003 3.809

end{sphinxVerbatim}

3.411 3.412 3.4130000000000003 3.414 3.415 3.416 3.4170000000000003 3.418 3.419 3.42 3.4210000000000003 3.422 3.423 3.424 3.4250000000000003 3.426 3.427 3.428 3.4290000000000003 3.43 3.431 3.432 3.4330000000000003 3.434 3.435 3.436 3.4370000000000003 3.438 3.439 3.44 3.4410000000000003 3.442 3.443 3.444 3.4450000000000003 3.446 3.447 3.448 3.4490000000000003 3.45 3.451 3.452 3.4530000000000003 3.454 3.455 3.456 3.457 3.458 3.459 3.46 3.461 3.462 3.463 3.464 3.465 3.466 3.467 3.468 3.469 3.47 3.471 3.472 3.473 3.474 3.475 3.476 3.477 3.478 3.479 3.48 3.481 3.482 3.483 3.484 3.485 3.486 3.487 3.488 3.489 3.49 3.491 3.492 3.493 3.494 3.495 3.496 3.497 3.498 3.499 3.5 3.501 3.5020000000000002 3.503 3.504 3.505 3.5060000000000002 3.507 3.508 3.509 3.5100000000000002 3.511 3.512 3.513 3.5140000000000002 3.515 3.516 3.517 3.5180000000000002 3.519 3.52 3.521 3.5220000000000002 3.523 3.524 3.525 3.5260000000000002 3.527 3.528 3.529 3.5300000000000002 3.531 3.532 3.533 3.5340000000000003 3.535 3.536 3.537 3.5380000000000003 3.539 3.54 3.541 3.5420000000000003 3.543 3.544 3.545 3.5460000000000003 3.547 3.548 3.549 3.5500000000000003 3.551 3.552 3.553 3.5540000000000003 3.555 3.556 3.557 3.5580000000000003 3.559 3.56 3.561 3.5620000000000003 3.563 3.564 3.565 3.5660000000000003 3.567 3.568 3.569 3.5700000000000003 3.571 3.572 3.573 3.5740000000000003 3.575 3.576 3.577 3.5780000000000003 3.579 3.58 3.581 3.5820000000000003 3.583 3.584 3.585 3.586 3.587 3.588 3.589 3.59 3.591 3.592 3.593 3.594 3.595 3.596 3.597 3.598 3.599 3.6 3.601 3.602 3.603 3.604 3.605 3.606 3.607 3.608 3.609 3.61 3.611 3.612 3.613 3.614 3.615 3.616 3.617 3.618 3.619 3.62 3.621 3.622 3.623 3.624 3.625 3.626 3.6270000000000002 3.628 3.629 3.63 3.6310000000000002 3.632 3.633 3.634 3.6350000000000002 3.636 3.637 3.638 3.6390000000000002 3.64 3.641 3.642 3.6430000000000002 3.644 3.645 3.646 3.6470000000000002 3.648 3.649 3.65 3.6510000000000002 3.652 3.653 3.654 3.6550000000000002 3.656 3.657 3.658 3.6590000000000003 3.66 3.661 3.662 3.6630000000000003 3.664 3.665 3.666 3.6670000000000003 3.668 3.669 3.67 3.6710000000000003 3.672 3.673 3.674 3.6750000000000003 3.676 3.677 3.678 3.6790000000000003 3.68 3.681 3.682 3.6830000000000003 3.684 3.685 3.686 3.6870000000000003 3.688 3.689 3.69 3.6910000000000003 3.692 3.693 3.694 3.6950000000000003 3.696 3.697 3.698 3.6990000000000003 3.7 3.701 3.702 3.7030000000000003 3.704 3.705 3.706 3.7070000000000003 3.708 3.709 3.71 3.7110000000000003 3.712 3.713 3.714 3.715 3.716 3.717 3.718 3.719 3.72 3.721 3.722 3.723 3.724 3.725 3.726 3.727 3.728 3.729 3.73 3.731 3.732 3.733 3.734 3.735 3.736 3.737 3.738 3.739 3.74 3.741 3.742 3.743 3.744 3.745 3.746 3.747 3.748 3.749 3.75 3.751 3.7520000000000002 3.753 3.754 3.755 3.7560000000000002 3.757 3.758 3.759 3.7600000000000002 3.761 3.762 3.763 3.7640000000000002 3.765 3.766 3.767 3.7680000000000002 3.769 3.77 3.771 3.7720000000000002 3.773 3.774 3.775 3.7760000000000002 3.777 3.778 3.779 3.7800000000000002 3.781 3.782 3.783 3.7840000000000003 3.785 3.786 3.787 3.7880000000000003 3.789 3.79 3.791 3.7920000000000003 3.793 3.794 3.795 3.7960000000000003 3.797 3.798 3.799 3.8000000000000003 3.801 3.802 3.803 3.8040000000000003 3.805 3.806 3.807 3.8080000000000003 3.809

more-to-come:

3.81 3.811 3.8120000000000003 3.813 3.814 3.815 3.8160000000000003 3.817 3.818 3.819 3.8200000000000003 3.821 3.822 3.823 3.8240000000000003 3.825 3.826 3.827 3.8280000000000003 3.829 3.83 3.831 3.8320000000000003 3.833 3.834 3.835 3.8360000000000003 3.837 3.838 3.839 3.84 3.841 3.842 3.843 3.844 3.845 3.846 3.847 3.848 3.849 3.85 3.851 3.852 3.853 3.854 3.855 3.856 3.857 3.858 3.859 3.86 3.861 3.862 3.863 3.864 3.865 3.866 3.867 3.868 3.869 3.87 3.871 3.872 3.873 3.874 3.875 3.876 3.8770000000000002 3.878 3.879 3.88 3.8810000000000002 3.882 3.883 3.884 3.8850000000000002 3.886 3.887 3.888 3.8890000000000002 3.89 3.891 3.892 3.8930000000000002 3.894 3.895 3.896 3.8970000000000002 3.898 3.899 3.9 3.9010000000000002 3.902 3.903 3.904 3.9050000000000002 3.906 3.907 3.908 3.9090000000000003 3.91 3.911 3.912 3.9130000000000003 3.914 3.915 3.916 3.9170000000000003 3.918 3.919 3.92 3.9210000000000003 3.922 3.923 3.924 3.9250000000000003 3.926 3.927 3.928 3.9290000000000003 3.93 3.931 3.932 3.9330000000000003 3.934 3.935 3.936 3.9370000000000003 3.938 3.939 3.94 3.9410000000000003 3.942 3.943 3.944 3.9450000000000003 3.946 3.947 3.948 3.9490000000000003 3.95 3.951 3.952 3.9530000000000003

</pre>

3.81 3.811 3.8120000000000003 3.813 3.814 3.815 3.8160000000000003 3.817 3.818 3.819 3.8200000000000003 3.821 3.822 3.823 3.8240000000000003 3.825 3.826 3.827 3.8280000000000003 3.829 3.83 3.831 3.8320000000000003 3.833 3.834 3.835 3.8360000000000003 3.837 3.838 3.839 3.84 3.841 3.842 3.843 3.844 3.845 3.846 3.847 3.848 3.849 3.85 3.851 3.852 3.853 3.854 3.855 3.856 3.857 3.858 3.859 3.86 3.861 3.862 3.863 3.864 3.865 3.866 3.867 3.868 3.869 3.87 3.871 3.872 3.873 3.874 3.875 3.876 3.8770000000000002 3.878 3.879 3.88 3.8810000000000002 3.882 3.883 3.884 3.8850000000000002 3.886 3.887 3.888 3.8890000000000002 3.89 3.891 3.892 3.8930000000000002 3.894 3.895 3.896 3.8970000000000002 3.898 3.899 3.9 3.9010000000000002 3.902 3.903 3.904 3.9050000000000002 3.906 3.907 3.908 3.9090000000000003 3.91 3.911 3.912 3.9130000000000003 3.914 3.915 3.916 3.9170000000000003 3.918 3.919 3.92 3.9210000000000003 3.922 3.923 3.924 3.9250000000000003 3.926 3.927 3.928 3.9290000000000003 3.93 3.931 3.932 3.9330000000000003 3.934 3.935 3.936 3.9370000000000003 3.938 3.939 3.94 3.9410000000000003 3.942 3.943 3.944 3.9450000000000003 3.946 3.947 3.948 3.9490000000000003 3.95 3.951 3.952 3.9530000000000003

end{sphinxVerbatim}

3.81 3.811 3.8120000000000003 3.813 3.814 3.815 3.8160000000000003 3.817 3.818 3.819 3.8200000000000003 3.821 3.822 3.823 3.8240000000000003 3.825 3.826 3.827 3.8280000000000003 3.829 3.83 3.831 3.8320000000000003 3.833 3.834 3.835 3.8360000000000003 3.837 3.838 3.839 3.84 3.841 3.842 3.843 3.844 3.845 3.846 3.847 3.848 3.849 3.85 3.851 3.852 3.853 3.854 3.855 3.856 3.857 3.858 3.859 3.86 3.861 3.862 3.863 3.864 3.865 3.866 3.867 3.868 3.869 3.87 3.871 3.872 3.873 3.874 3.875 3.876 3.8770000000000002 3.878 3.879 3.88 3.8810000000000002 3.882 3.883 3.884 3.8850000000000002 3.886 3.887 3.888 3.8890000000000002 3.89 3.891 3.892 3.8930000000000002 3.894 3.895 3.896 3.8970000000000002 3.898 3.899 3.9 3.9010000000000002 3.902 3.903 3.904 3.9050000000000002 3.906 3.907 3.908 3.9090000000000003 3.91 3.911 3.912 3.9130000000000003 3.914 3.915 3.916 3.9170000000000003 3.918 3.919 3.92 3.9210000000000003 3.922 3.923 3.924 3.9250000000000003 3.926 3.927 3.928 3.9290000000000003 3.93 3.931 3.932 3.9330000000000003 3.934 3.935 3.936 3.9370000000000003 3.938 3.939 3.94 3.9410000000000003 3.942 3.943 3.944 3.9450000000000003 3.946 3.947 3.948 3.9490000000000003 3.95 3.951 3.952 3.9530000000000003

more-to-come:

3.954 3.955 3.956 3.9570000000000003 3.958 3.959 3.96 3.9610000000000003 3.962 3.963 3.964 3.9650000000000003 3.966 3.967 3.968 3.969 3.97 3.971 3.972 3.973 3.974 3.975 3.976 3.977 3.978 3.979 3.98 3.981 3.982 3.983 3.984 3.985 3.986 3.987 3.988 3.989 3.99 3.991 3.992 3.993 3.994 3.995 3.996 3.997 3.998 3.999 4.0 4.001 4.002 4.003 4.0040000000000004 4.005 4.006 4.007 4.008 4.009 4.01 4.011 4.0120000000000005 4.013 4.014 4.015 4.016 4.017 4.018 4.019 4.0200000000000005 4.021 4.022 4.023 4.024 4.025 4.026 4.027 4.0280000000000005 4.029 4.03 4.031 4.032 4.033 4.034 4.035 4.0360000000000005 4.037 4.038 4.039 4.04 4.041 4.042 4.043 4.0440000000000005 4.045 4.046 4.047 4.048 4.049 4.05 4.051 4.0520000000000005 4.053 4.054 4.055 4.056 4.057 4.058 4.059 4.0600000000000005 4.061 4.062 4.063 4.064 4.065 4.066 4.067 4.0680000000000005 4.069 4.07 4.071 4.072 4.073 4.074 4.075 4.0760000000000005 4.077 4.078 4.079 4.08 4.081 4.082 4.083 4.0840000000000005 4.085 4.086 4.087 4.088 4.089 4.09 4.091 4.0920000000000005 4.093 4.094 4.095 4.096 4.097 4.098 4.099 4.1 4.101 4.102 4.103 4.104 4.105 4.106 4.107 4.108 4.109 4.11 4.111 4.112 4.113 4.114 4.115 4.116 4.117 4.118 4.119 4.12 4.121 4.122 4.123 4.124 4.125 4.126 4.127 4.128 4.1290000000000004 4.13 4.131 4.132 4.133 4.134 4.135 4.136 4.1370000000000005 4.138 4.139 4.14 4.141 4.142 4.143 4.144 4.1450000000000005 4.146 4.147 4.148 4.149 4.15 4.151 4.152 4.1530000000000005 4.154 4.155 4.156 4.157 4.158 4.159 4.16 4.1610000000000005 4.162 4.163 4.164 4.165 4.166 4.167 4.168 4.1690000000000005 4.17 4.171 4.172 4.173 4.174 4.175 4.176 4.1770000000000005 4.178 4.179 4.18 4.181 4.182 4.183 4.184 4.1850000000000005 4.186 4.187 4.188 4.189 4.19 4.191 4.192 4.1930000000000005 4.194 4.195 4.196 4.197 4.198 4.199 4.2 4.2010000000000005 4.202 4.203 4.204 4.205 4.206 4.207 4.208 4.2090000000000005 4.21 4.211 4.212 4.213 4.214 4.215 4.216 4.2170000000000005 4.218 4.219 4.22 4.221 4.222 4.223 4.224 4.225 4.226 4.227 4.228 4.229 4.23 4.231 4.232 4.233 4.234 4.235 4.236 4.237 4.238 4.239 4.24 4.241 4.242 4.243 4.244 4.245 4.246 4.247 4.248 4.249 4.25 4.251 4.252 4.253 4.2540000000000004 4.255 4.256 4.257 4.258 4.259 4.26 4.261 4.2620000000000005 4.263 4.264 4.265 4.266 4.267 4.268 4.269 4.2700000000000005 4.271 4.272 4.273 4.274 4.275 4.276 4.277 4.2780000000000005 4.279 4.28 4.281 4.282 4.283 4.284 4.285 4.2860000000000005 4.287 4.288 4.289 4.29 4.291 4.292 4.293 4.2940000000000005 4.295 4.296 4.297 4.298 4.299 4.3 4.301 4.3020000000000005 4.303 4.304 4.305 4.306 4.307 4.308 4.309 4.3100000000000005 4.311 4.312 4.313 4.314 4.315 4.316 4.317 4.3180000000000005 4.319 4.32 4.321 4.322 4.323 4.324 4.325 4.3260000000000005 4.327 4.328 4.329 4.33 4.331 4.332 4.333 4.3340000000000005 4.335 4.336 4.337 4.338 4.339 4.34 4.341 4.3420000000000005 4.343 4.344 4.345 4.346 4.347 4.348 4.349 4.3500000000000005 4.351

</pre>

3.954 3.955 3.956 3.9570000000000003 3.958 3.959 3.96 3.9610000000000003 3.962 3.963 3.964 3.9650000000000003 3.966 3.967 3.968 3.969 3.97 3.971 3.972 3.973 3.974 3.975 3.976 3.977 3.978 3.979 3.98 3.981 3.982 3.983 3.984 3.985 3.986 3.987 3.988 3.989 3.99 3.991 3.992 3.993 3.994 3.995 3.996 3.997 3.998 3.999 4.0 4.001 4.002 4.003 4.0040000000000004 4.005 4.006 4.007 4.008 4.009 4.01 4.011 4.0120000000000005 4.013 4.014 4.015 4.016 4.017 4.018 4.019 4.0200000000000005 4.021 4.022 4.023 4.024 4.025 4.026 4.027 4.0280000000000005 4.029 4.03 4.031 4.032 4.033 4.034 4.035 4.0360000000000005 4.037 4.038 4.039 4.04 4.041 4.042 4.043 4.0440000000000005 4.045 4.046 4.047 4.048 4.049 4.05 4.051 4.0520000000000005 4.053 4.054 4.055 4.056 4.057 4.058 4.059 4.0600000000000005 4.061 4.062 4.063 4.064 4.065 4.066 4.067 4.0680000000000005 4.069 4.07 4.071 4.072 4.073 4.074 4.075 4.0760000000000005 4.077 4.078 4.079 4.08 4.081 4.082 4.083 4.0840000000000005 4.085 4.086 4.087 4.088 4.089 4.09 4.091 4.0920000000000005 4.093 4.094 4.095 4.096 4.097 4.098 4.099 4.1 4.101 4.102 4.103 4.104 4.105 4.106 4.107 4.108 4.109 4.11 4.111 4.112 4.113 4.114 4.115 4.116 4.117 4.118 4.119 4.12 4.121 4.122 4.123 4.124 4.125 4.126 4.127 4.128 4.1290000000000004 4.13 4.131 4.132 4.133 4.134 4.135 4.136 4.1370000000000005 4.138 4.139 4.14 4.141 4.142 4.143 4.144 4.1450000000000005 4.146 4.147 4.148 4.149 4.15 4.151 4.152 4.1530000000000005 4.154 4.155 4.156 4.157 4.158 4.159 4.16 4.1610000000000005 4.162 4.163 4.164 4.165 4.166 4.167 4.168 4.1690000000000005 4.17 4.171 4.172 4.173 4.174 4.175 4.176 4.1770000000000005 4.178 4.179 4.18 4.181 4.182 4.183 4.184 4.1850000000000005 4.186 4.187 4.188 4.189 4.19 4.191 4.192 4.1930000000000005 4.194 4.195 4.196 4.197 4.198 4.199 4.2 4.2010000000000005 4.202 4.203 4.204 4.205 4.206 4.207 4.208 4.2090000000000005 4.21 4.211 4.212 4.213 4.214 4.215 4.216 4.2170000000000005 4.218 4.219 4.22 4.221 4.222 4.223 4.224 4.225 4.226 4.227 4.228 4.229 4.23 4.231 4.232 4.233 4.234 4.235 4.236 4.237 4.238 4.239 4.24 4.241 4.242 4.243 4.244 4.245 4.246 4.247 4.248 4.249 4.25 4.251 4.252 4.253 4.2540000000000004 4.255 4.256 4.257 4.258 4.259 4.26 4.261 4.2620000000000005 4.263 4.264 4.265 4.266 4.267 4.268 4.269 4.2700000000000005 4.271 4.272 4.273 4.274 4.275 4.276 4.277 4.2780000000000005 4.279 4.28 4.281 4.282 4.283 4.284 4.285 4.2860000000000005 4.287 4.288 4.289 4.29 4.291 4.292 4.293 4.2940000000000005 4.295 4.296 4.297 4.298 4.299 4.3 4.301 4.3020000000000005 4.303 4.304 4.305 4.306 4.307 4.308 4.309 4.3100000000000005 4.311 4.312 4.313 4.314 4.315 4.316 4.317 4.3180000000000005 4.319 4.32 4.321 4.322 4.323 4.324 4.325 4.3260000000000005 4.327 4.328 4.329 4.33 4.331 4.332 4.333 4.3340000000000005 4.335 4.336 4.337 4.338 4.339 4.34 4.341 4.3420000000000005 4.343 4.344 4.345 4.346 4.347 4.348 4.349 4.3500000000000005 4.351

end{sphinxVerbatim}

3.954 3.955 3.956 3.9570000000000003 3.958 3.959 3.96 3.9610000000000003 3.962 3.963 3.964 3.9650000000000003 3.966 3.967 3.968 3.969 3.97 3.971 3.972 3.973 3.974 3.975 3.976 3.977 3.978 3.979 3.98 3.981 3.982 3.983 3.984 3.985 3.986 3.987 3.988 3.989 3.99 3.991 3.992 3.993 3.994 3.995 3.996 3.997 3.998 3.999 4.0 4.001 4.002 4.003 4.0040000000000004 4.005 4.006 4.007 4.008 4.009 4.01 4.011 4.0120000000000005 4.013 4.014 4.015 4.016 4.017 4.018 4.019 4.0200000000000005 4.021 4.022 4.023 4.024 4.025 4.026 4.027 4.0280000000000005 4.029 4.03 4.031 4.032 4.033 4.034 4.035 4.0360000000000005 4.037 4.038 4.039 4.04 4.041 4.042 4.043 4.0440000000000005 4.045 4.046 4.047 4.048 4.049 4.05 4.051 4.0520000000000005 4.053 4.054 4.055 4.056 4.057 4.058 4.059 4.0600000000000005 4.061 4.062 4.063 4.064 4.065 4.066 4.067 4.0680000000000005 4.069 4.07 4.071 4.072 4.073 4.074 4.075 4.0760000000000005 4.077 4.078 4.079 4.08 4.081 4.082 4.083 4.0840000000000005 4.085 4.086 4.087 4.088 4.089 4.09 4.091 4.0920000000000005 4.093 4.094 4.095 4.096 4.097 4.098 4.099 4.1 4.101 4.102 4.103 4.104 4.105 4.106 4.107 4.108 4.109 4.11 4.111 4.112 4.113 4.114 4.115 4.116 4.117 4.118 4.119 4.12 4.121 4.122 4.123 4.124 4.125 4.126 4.127 4.128 4.1290000000000004 4.13 4.131 4.132 4.133 4.134 4.135 4.136 4.1370000000000005 4.138 4.139 4.14 4.141 4.142 4.143 4.144 4.1450000000000005 4.146 4.147 4.148 4.149 4.15 4.151 4.152 4.1530000000000005 4.154 4.155 4.156 4.157 4.158 4.159 4.16 4.1610000000000005 4.162 4.163 4.164 4.165 4.166 4.167 4.168 4.1690000000000005 4.17 4.171 4.172 4.173 4.174 4.175 4.176 4.1770000000000005 4.178 4.179 4.18 4.181 4.182 4.183 4.184 4.1850000000000005 4.186 4.187 4.188 4.189 4.19 4.191 4.192 4.1930000000000005 4.194 4.195 4.196 4.197 4.198 4.199 4.2 4.2010000000000005 4.202 4.203 4.204 4.205 4.206 4.207 4.208 4.2090000000000005 4.21 4.211 4.212 4.213 4.214 4.215 4.216 4.2170000000000005 4.218 4.219 4.22 4.221 4.222 4.223 4.224 4.225 4.226 4.227 4.228 4.229 4.23 4.231 4.232 4.233 4.234 4.235 4.236 4.237 4.238 4.239 4.24 4.241 4.242 4.243 4.244 4.245 4.246 4.247 4.248 4.249 4.25 4.251 4.252 4.253 4.2540000000000004 4.255 4.256 4.257 4.258 4.259 4.26 4.261 4.2620000000000005 4.263 4.264 4.265 4.266 4.267 4.268 4.269 4.2700000000000005 4.271 4.272 4.273 4.274 4.275 4.276 4.277 4.2780000000000005 4.279 4.28 4.281 4.282 4.283 4.284 4.285 4.2860000000000005 4.287 4.288 4.289 4.29 4.291 4.292 4.293 4.2940000000000005 4.295 4.296 4.297 4.298 4.299 4.3 4.301 4.3020000000000005 4.303 4.304 4.305 4.306 4.307 4.308 4.309 4.3100000000000005 4.311 4.312 4.313 4.314 4.315 4.316 4.317 4.3180000000000005 4.319 4.32 4.321 4.322 4.323 4.324 4.325 4.3260000000000005 4.327 4.328 4.329 4.33 4.331 4.332 4.333 4.3340000000000005 4.335 4.336 4.337 4.338 4.339 4.34 4.341 4.3420000000000005 4.343 4.344 4.345 4.346 4.347 4.348 4.349 4.3500000000000005 4.351

more-to-come:

4.352 4.353 4.354 4.355 4.356 4.357 4.358 4.359 4.36 4.361 4.362 4.363 4.364 4.365 4.366 4.367 4.368 4.369 4.37 4.371 4.372 4.373 4.374 4.375 4.376 4.377 4.378 4.3790000000000004 4.38 4.381 4.382 4.383 4.384 4.385 4.386 4.3870000000000005 4.388 4.389 4.39 4.391 4.392 4.393 4.394 4.3950000000000005 4.396 4.397 4.398 4.399 4.4 4.401 4.402 4.4030000000000005 4.404 4.405 4.406 4.407 4.408 4.409 4.41 4.4110000000000005 4.412 4.413 4.414 4.415 4.416 4.417 4.418 4.4190000000000005 4.42 4.421 4.422 4.423 4.424 4.425 4.426 4.4270000000000005 4.428 4.429 4.43 4.431 4.432 4.433 4.434 4.4350000000000005 4.436 4.437 4.438 4.439 4.44 4.441 4.442 4.4430000000000005 4.444 4.445 4.446 4.447 4.448 4.449 4.45 4.4510000000000005 4.452 4.453 4.454 4.455 4.456 4.457 4.458 4.4590000000000005 4.46 4.461 4.462 4.463 4.464 4.465 4.466 4.4670000000000005 4.468 4.469 4.47 4.471 4.472 4.473 4.474 4.4750000000000005 4.476 4.477 4.478 4.479 4.48 4.481 4.482 4.483 4.484 4.485 4.486 4.487 4.488 4.489 4.49 4.491 4.492 4.493 4.494 4.495 4.496

</pre>

4.352 4.353 4.354 4.355 4.356 4.357 4.358 4.359 4.36 4.361 4.362 4.363 4.364 4.365 4.366 4.367 4.368 4.369 4.37 4.371 4.372 4.373 4.374 4.375 4.376 4.377 4.378 4.3790000000000004 4.38 4.381 4.382 4.383 4.384 4.385 4.386 4.3870000000000005 4.388 4.389 4.39 4.391 4.392 4.393 4.394 4.3950000000000005 4.396 4.397 4.398 4.399 4.4 4.401 4.402 4.4030000000000005 4.404 4.405 4.406 4.407 4.408 4.409 4.41 4.4110000000000005 4.412 4.413 4.414 4.415 4.416 4.417 4.418 4.4190000000000005 4.42 4.421 4.422 4.423 4.424 4.425 4.426 4.4270000000000005 4.428 4.429 4.43 4.431 4.432 4.433 4.434 4.4350000000000005 4.436 4.437 4.438 4.439 4.44 4.441 4.442 4.4430000000000005 4.444 4.445 4.446 4.447 4.448 4.449 4.45 4.4510000000000005 4.452 4.453 4.454 4.455 4.456 4.457 4.458 4.4590000000000005 4.46 4.461 4.462 4.463 4.464 4.465 4.466 4.4670000000000005 4.468 4.469 4.47 4.471 4.472 4.473 4.474 4.4750000000000005 4.476 4.477 4.478 4.479 4.48 4.481 4.482 4.483 4.484 4.485 4.486 4.487 4.488 4.489 4.49 4.491 4.492 4.493 4.494 4.495 4.496

end{sphinxVerbatim}

4.352 4.353 4.354 4.355 4.356 4.357 4.358 4.359 4.36 4.361 4.362 4.363 4.364 4.365 4.366 4.367 4.368 4.369 4.37 4.371 4.372 4.373 4.374 4.375 4.376 4.377 4.378 4.3790000000000004 4.38 4.381 4.382 4.383 4.384 4.385 4.386 4.3870000000000005 4.388 4.389 4.39 4.391 4.392 4.393 4.394 4.3950000000000005 4.396 4.397 4.398 4.399 4.4 4.401 4.402 4.4030000000000005 4.404 4.405 4.406 4.407 4.408 4.409 4.41 4.4110000000000005 4.412 4.413 4.414 4.415 4.416 4.417 4.418 4.4190000000000005 4.42 4.421 4.422 4.423 4.424 4.425 4.426 4.4270000000000005 4.428 4.429 4.43 4.431 4.432 4.433 4.434 4.4350000000000005 4.436 4.437 4.438 4.439 4.44 4.441 4.442 4.4430000000000005 4.444 4.445 4.446 4.447 4.448 4.449 4.45 4.4510000000000005 4.452 4.453 4.454 4.455 4.456 4.457 4.458 4.4590000000000005 4.46 4.461 4.462 4.463 4.464 4.465 4.466 4.4670000000000005 4.468 4.469 4.47 4.471 4.472 4.473 4.474 4.4750000000000005 4.476 4.477 4.478 4.479 4.48 4.481 4.482 4.483 4.484 4.485 4.486 4.487 4.488 4.489 4.49 4.491 4.492 4.493 4.494 4.495 4.496

more-to-come:

4.497 4.498 4.499 4.5 4.501 4.502 4.503 4.5040000000000004 4.505 4.506 4.507 4.508 4.509 4.51 4.511 4.5120000000000005 4.513 4.514 4.515 4.516 4.517 4.518 4.519 4.5200000000000005 4.521 4.522 4.523 4.524 4.525 4.526 4.527 4.5280000000000005 4.529 4.53 4.531 4.532 4.533 4.534 4.535 4.5360000000000005 4.537 4.538 4.539 4.54 4.541 4.542 4.543 4.5440000000000005 4.545 4.546 4.547 4.548 4.549 4.55 4.551 4.5520000000000005 4.553 4.554 4.555 4.556 4.557 4.558 4.559 4.5600000000000005 4.561 4.562 4.563 4.564 4.565 4.566 4.567 4.5680000000000005 4.569 4.57 4.571 4.572 4.573 4.574 4.575 4.5760000000000005 4.577 4.578 4.579 4.58 4.581 4.582 4.583 4.5840000000000005 4.585 4.586 4.587 4.588 4.589 4.59 4.591 4.5920000000000005 4.593 4.594 4.595 4.596 4.597 4.598 4.599 4.6000000000000005 4.601 4.602 4.603 4.604 4.605 4.606 4.607 4.6080000000000005 4.609 4.61 4.611 4.612 4.613 4.614 4.615 4.616 4.617 4.618 4.619 4.62 4.621 4.622 4.623 4.624 4.625 4.626 4.627 4.628 4.6290000000000004 4.63 4.631 4.632 4.633 4.634 4.635 4.636 4.6370000000000005 4.638 4.639 4.64 4.641 4.642 4.643 4.644 4.6450000000000005 4.646 4.647 4.648 4.649 4.65 4.651 4.652 4.6530000000000005 4.654 4.655 4.656 4.657 4.658 4.659 4.66 4.6610000000000005 4.662 4.663 4.664 4.665 4.666 4.667 4.668 4.6690000000000005 4.67 4.671 4.672 4.673 4.674 4.675 4.676 4.6770000000000005 4.678 4.679 4.68 4.681 4.682 4.683 4.684 4.6850000000000005 4.686 4.687 4.688 4.689 4.69 4.691 4.692 4.6930000000000005 4.694 4.695 4.696 4.697 4.698 4.699 4.7 4.7010000000000005 4.702 4.703 4.704 4.705 4.706 4.707 4.708 4.7090000000000005 4.71 4.711 4.712 4.713 4.714 4.715 4.716 4.7170000000000005 4.718 4.719 4.72 4.721 4.722 4.723 4.724 4.7250000000000005 4.726 4.727 4.728 4.729 4.73 4.731 4.732 4.7330000000000005 4.734 4.735 4.736 4.737 4.738 4.739 4.74 4.741 4.742 4.743 4.744 4.745 4.746 4.747 4.748 4.749 4.75 4.751 4.752 4.753 4.7540000000000004 4.755 4.756 4.757 4.758 4.759 4.76 4.761 4.7620000000000005 4.763 4.764 4.765 4.766 4.767 4.768 4.769 4.7700000000000005 4.771 4.772 4.773 4.774 4.775 4.776 4.777 4.7780000000000005 4.779 4.78 4.781 4.782 4.783 4.784 4.785 4.7860000000000005 4.787 4.788 4.789 4.79 4.791 4.792 4.793 4.7940000000000005 4.795 4.796 4.797 4.798 4.799 4.8 4.801 4.8020000000000005 4.803 4.804 4.805 4.806 4.807 4.808 4.809 4.8100000000000005 4.811 4.812 4.813 4.814 4.815 4.816 4.817 4.8180000000000005 4.819 4.82 4.821 4.822 4.823 4.824 4.825 4.8260000000000005 4.827 4.828 4.829 4.83 4.831 4.832 4.833 4.8340000000000005 4.835 4.836 4.837 4.838 4.839 4.84 4.841 4.8420000000000005 4.843 4.844 4.845 4.846 4.847 4.848 4.849 4.8500000000000005 4.851 4.852 4.853 4.854 4.855 4.856 4.857 4.8580000000000005 4.859 4.86 4.861 4.862 4.863 4.864 4.865 4.866 4.867 4.868 4.869 4.87 4.871 4.872 4.873 4.874 4.875 4.876 4.877 4.878 4.8790000000000004 4.88 4.881 4.882 4.883 4.884 4.885 4.886 4.8870000000000005 4.888 4.889 4.89 4.891 4.892 4.893 4.894 4.8950000000000005

</pre>

4.497 4.498 4.499 4.5 4.501 4.502 4.503 4.5040000000000004 4.505 4.506 4.507 4.508 4.509 4.51 4.511 4.5120000000000005 4.513 4.514 4.515 4.516 4.517 4.518 4.519 4.5200000000000005 4.521 4.522 4.523 4.524 4.525 4.526 4.527 4.5280000000000005 4.529 4.53 4.531 4.532 4.533 4.534 4.535 4.5360000000000005 4.537 4.538 4.539 4.54 4.541 4.542 4.543 4.5440000000000005 4.545 4.546 4.547 4.548 4.549 4.55 4.551 4.5520000000000005 4.553 4.554 4.555 4.556 4.557 4.558 4.559 4.5600000000000005 4.561 4.562 4.563 4.564 4.565 4.566 4.567 4.5680000000000005 4.569 4.57 4.571 4.572 4.573 4.574 4.575 4.5760000000000005 4.577 4.578 4.579 4.58 4.581 4.582 4.583 4.5840000000000005 4.585 4.586 4.587 4.588 4.589 4.59 4.591 4.5920000000000005 4.593 4.594 4.595 4.596 4.597 4.598 4.599 4.6000000000000005 4.601 4.602 4.603 4.604 4.605 4.606 4.607 4.6080000000000005 4.609 4.61 4.611 4.612 4.613 4.614 4.615 4.616 4.617 4.618 4.619 4.62 4.621 4.622 4.623 4.624 4.625 4.626 4.627 4.628 4.6290000000000004 4.63 4.631 4.632 4.633 4.634 4.635 4.636 4.6370000000000005 4.638 4.639 4.64 4.641 4.642 4.643 4.644 4.6450000000000005 4.646 4.647 4.648 4.649 4.65 4.651 4.652 4.6530000000000005 4.654 4.655 4.656 4.657 4.658 4.659 4.66 4.6610000000000005 4.662 4.663 4.664 4.665 4.666 4.667 4.668 4.6690000000000005 4.67 4.671 4.672 4.673 4.674 4.675 4.676 4.6770000000000005 4.678 4.679 4.68 4.681 4.682 4.683 4.684 4.6850000000000005 4.686 4.687 4.688 4.689 4.69 4.691 4.692 4.6930000000000005 4.694 4.695 4.696 4.697 4.698 4.699 4.7 4.7010000000000005 4.702 4.703 4.704 4.705 4.706 4.707 4.708 4.7090000000000005 4.71 4.711 4.712 4.713 4.714 4.715 4.716 4.7170000000000005 4.718 4.719 4.72 4.721 4.722 4.723 4.724 4.7250000000000005 4.726 4.727 4.728 4.729 4.73 4.731 4.732 4.7330000000000005 4.734 4.735 4.736 4.737 4.738 4.739 4.74 4.741 4.742 4.743 4.744 4.745 4.746 4.747 4.748 4.749 4.75 4.751 4.752 4.753 4.7540000000000004 4.755 4.756 4.757 4.758 4.759 4.76 4.761 4.7620000000000005 4.763 4.764 4.765 4.766 4.767 4.768 4.769 4.7700000000000005 4.771 4.772 4.773 4.774 4.775 4.776 4.777 4.7780000000000005 4.779 4.78 4.781 4.782 4.783 4.784 4.785 4.7860000000000005 4.787 4.788 4.789 4.79 4.791 4.792 4.793 4.7940000000000005 4.795 4.796 4.797 4.798 4.799 4.8 4.801 4.8020000000000005 4.803 4.804 4.805 4.806 4.807 4.808 4.809 4.8100000000000005 4.811 4.812 4.813 4.814 4.815 4.816 4.817 4.8180000000000005 4.819 4.82 4.821 4.822 4.823 4.824 4.825 4.8260000000000005 4.827 4.828 4.829 4.83 4.831 4.832 4.833 4.8340000000000005 4.835 4.836 4.837 4.838 4.839 4.84 4.841 4.8420000000000005 4.843 4.844 4.845 4.846 4.847 4.848 4.849 4.8500000000000005 4.851 4.852 4.853 4.854 4.855 4.856 4.857 4.8580000000000005 4.859 4.86 4.861 4.862 4.863 4.864 4.865 4.866 4.867 4.868 4.869 4.87 4.871 4.872 4.873 4.874 4.875 4.876 4.877 4.878 4.8790000000000004 4.88 4.881 4.882 4.883 4.884 4.885 4.886 4.8870000000000005 4.888 4.889 4.89 4.891 4.892 4.893 4.894 4.8950000000000005

end{sphinxVerbatim}

4.497 4.498 4.499 4.5 4.501 4.502 4.503 4.5040000000000004 4.505 4.506 4.507 4.508 4.509 4.51 4.511 4.5120000000000005 4.513 4.514 4.515 4.516 4.517 4.518 4.519 4.5200000000000005 4.521 4.522 4.523 4.524 4.525 4.526 4.527 4.5280000000000005 4.529 4.53 4.531 4.532 4.533 4.534 4.535 4.5360000000000005 4.537 4.538 4.539 4.54 4.541 4.542 4.543 4.5440000000000005 4.545 4.546 4.547 4.548 4.549 4.55 4.551 4.5520000000000005 4.553 4.554 4.555 4.556 4.557 4.558 4.559 4.5600000000000005 4.561 4.562 4.563 4.564 4.565 4.566 4.567 4.5680000000000005 4.569 4.57 4.571 4.572 4.573 4.574 4.575 4.5760000000000005 4.577 4.578 4.579 4.58 4.581 4.582 4.583 4.5840000000000005 4.585 4.586 4.587 4.588 4.589 4.59 4.591 4.5920000000000005 4.593 4.594 4.595 4.596 4.597 4.598 4.599 4.6000000000000005 4.601 4.602 4.603 4.604 4.605 4.606 4.607 4.6080000000000005 4.609 4.61 4.611 4.612 4.613 4.614 4.615 4.616 4.617 4.618 4.619 4.62 4.621 4.622 4.623 4.624 4.625 4.626 4.627 4.628 4.6290000000000004 4.63 4.631 4.632 4.633 4.634 4.635 4.636 4.6370000000000005 4.638 4.639 4.64 4.641 4.642 4.643 4.644 4.6450000000000005 4.646 4.647 4.648 4.649 4.65 4.651 4.652 4.6530000000000005 4.654 4.655 4.656 4.657 4.658 4.659 4.66 4.6610000000000005 4.662 4.663 4.664 4.665 4.666 4.667 4.668 4.6690000000000005 4.67 4.671 4.672 4.673 4.674 4.675 4.676 4.6770000000000005 4.678 4.679 4.68 4.681 4.682 4.683 4.684 4.6850000000000005 4.686 4.687 4.688 4.689 4.69 4.691 4.692 4.6930000000000005 4.694 4.695 4.696 4.697 4.698 4.699 4.7 4.7010000000000005 4.702 4.703 4.704 4.705 4.706 4.707 4.708 4.7090000000000005 4.71 4.711 4.712 4.713 4.714 4.715 4.716 4.7170000000000005 4.718 4.719 4.72 4.721 4.722 4.723 4.724 4.7250000000000005 4.726 4.727 4.728 4.729 4.73 4.731 4.732 4.7330000000000005 4.734 4.735 4.736 4.737 4.738 4.739 4.74 4.741 4.742 4.743 4.744 4.745 4.746 4.747 4.748 4.749 4.75 4.751 4.752 4.753 4.7540000000000004 4.755 4.756 4.757 4.758 4.759 4.76 4.761 4.7620000000000005 4.763 4.764 4.765 4.766 4.767 4.768 4.769 4.7700000000000005 4.771 4.772 4.773 4.774 4.775 4.776 4.777 4.7780000000000005 4.779 4.78 4.781 4.782 4.783 4.784 4.785 4.7860000000000005 4.787 4.788 4.789 4.79 4.791 4.792 4.793 4.7940000000000005 4.795 4.796 4.797 4.798 4.799 4.8 4.801 4.8020000000000005 4.803 4.804 4.805 4.806 4.807 4.808 4.809 4.8100000000000005 4.811 4.812 4.813 4.814 4.815 4.816 4.817 4.8180000000000005 4.819 4.82 4.821 4.822 4.823 4.824 4.825 4.8260000000000005 4.827 4.828 4.829 4.83 4.831 4.832 4.833 4.8340000000000005 4.835 4.836 4.837 4.838 4.839 4.84 4.841 4.8420000000000005 4.843 4.844 4.845 4.846 4.847 4.848 4.849 4.8500000000000005 4.851 4.852 4.853 4.854 4.855 4.856 4.857 4.8580000000000005 4.859 4.86 4.861 4.862 4.863 4.864 4.865 4.866 4.867 4.868 4.869 4.87 4.871 4.872 4.873 4.874 4.875 4.876 4.877 4.878 4.8790000000000004 4.88 4.881 4.882 4.883 4.884 4.885 4.886 4.8870000000000005 4.888 4.889 4.89 4.891 4.892 4.893 4.894 4.8950000000000005

more-to-come:

4.896 4.897 4.898 4.899 4.9 4.901 4.902 4.9030000000000005 4.904 4.905 4.906 4.907 4.908 4.909 4.91 4.9110000000000005 4.912 4.913 4.914 4.915 4.916 4.917 4.918 4.9190000000000005 4.92 4.921 4.922 4.923 4.924 4.925 4.926 4.9270000000000005 4.928 4.929 4.93 4.931 4.932 4.933 4.934 4.9350000000000005 4.936 4.937 4.938 4.939 4.94 4.941 4.942 4.9430000000000005 4.944 4.945 4.946 4.947 4.948 4.949 4.95 4.9510000000000005 4.952 4.953 4.954 4.955 4.956 4.957 4.958 4.9590000000000005 4.96 4.961 4.962 4.963 4.964 4.965 4.966 4.9670000000000005 4.968 4.969 4.97 4.971 4.972 4.973 4.974 4.9750000000000005 4.976 4.977 4.978 4.979 4.98 4.981 4.982 4.9830000000000005 4.984 4.985 4.986 4.987 4.988 4.989 4.99 4.9910000000000005 4.992 4.993 4.994 4.995 4.996 4.997 4.998 4.999 5.0 5.001 5.002 5.003 5.0040000000000004 5.005 5.006 5.007 5.008 5.009 5.01 5.011 5.0120000000000005 5.013 5.014 5.015 5.016 5.017 5.018 5.019 5.0200000000000005 5.021 5.022 5.023 5.024 5.025 5.026 5.027 5.0280000000000005 5.029 5.03 5.031 5.032 5.033 5.034 5.035 5.0360000000000005 5.037 5.038 5.039

</pre>

4.896 4.897 4.898 4.899 4.9 4.901 4.902 4.9030000000000005 4.904 4.905 4.906 4.907 4.908 4.909 4.91 4.9110000000000005 4.912 4.913 4.914 4.915 4.916 4.917 4.918 4.9190000000000005 4.92 4.921 4.922 4.923 4.924 4.925 4.926 4.9270000000000005 4.928 4.929 4.93 4.931 4.932 4.933 4.934 4.9350000000000005 4.936 4.937 4.938 4.939 4.94 4.941 4.942 4.9430000000000005 4.944 4.945 4.946 4.947 4.948 4.949 4.95 4.9510000000000005 4.952 4.953 4.954 4.955 4.956 4.957 4.958 4.9590000000000005 4.96 4.961 4.962 4.963 4.964 4.965 4.966 4.9670000000000005 4.968 4.969 4.97 4.971 4.972 4.973 4.974 4.9750000000000005 4.976 4.977 4.978 4.979 4.98 4.981 4.982 4.9830000000000005 4.984 4.985 4.986 4.987 4.988 4.989 4.99 4.9910000000000005 4.992 4.993 4.994 4.995 4.996 4.997 4.998 4.999 5.0 5.001 5.002 5.003 5.0040000000000004 5.005 5.006 5.007 5.008 5.009 5.01 5.011 5.0120000000000005 5.013 5.014 5.015 5.016 5.017 5.018 5.019 5.0200000000000005 5.021 5.022 5.023 5.024 5.025 5.026 5.027 5.0280000000000005 5.029 5.03 5.031 5.032 5.033 5.034 5.035 5.0360000000000005 5.037 5.038 5.039

end{sphinxVerbatim}

4.896 4.897 4.898 4.899 4.9 4.901 4.902 4.9030000000000005 4.904 4.905 4.906 4.907 4.908 4.909 4.91 4.9110000000000005 4.912 4.913 4.914 4.915 4.916 4.917 4.918 4.9190000000000005 4.92 4.921 4.922 4.923 4.924 4.925 4.926 4.9270000000000005 4.928 4.929 4.93 4.931 4.932 4.933 4.934 4.9350000000000005 4.936 4.937 4.938 4.939 4.94 4.941 4.942 4.9430000000000005 4.944 4.945 4.946 4.947 4.948 4.949 4.95 4.9510000000000005 4.952 4.953 4.954 4.955 4.956 4.957 4.958 4.9590000000000005 4.96 4.961 4.962 4.963 4.964 4.965 4.966 4.9670000000000005 4.968 4.969 4.97 4.971 4.972 4.973 4.974 4.9750000000000005 4.976 4.977 4.978 4.979 4.98 4.981 4.982 4.9830000000000005 4.984 4.985 4.986 4.987 4.988 4.989 4.99 4.9910000000000005 4.992 4.993 4.994 4.995 4.996 4.997 4.998 4.999 5.0 5.001 5.002 5.003 5.0040000000000004 5.005 5.006 5.007 5.008 5.009 5.01 5.011 5.0120000000000005 5.013 5.014 5.015 5.016 5.017 5.018 5.019 5.0200000000000005 5.021 5.022 5.023 5.024 5.025 5.026 5.027 5.0280000000000005 5.029 5.03 5.031 5.032 5.033 5.034 5.035 5.0360000000000005 5.037 5.038 5.039

more-to-come:

5.04 5.041 5.042 5.043 5.0440000000000005 5.045 5.046 5.047 5.048 5.049 5.05 5.051 5.0520000000000005 5.053 5.054 5.055 5.056 5.057 5.058 5.059 5.0600000000000005 5.061 5.062 5.063 5.064 5.065 5.066 5.067 5.0680000000000005 5.069 5.07 5.071 5.072 5.073 5.074 5.075 5.0760000000000005 5.077 5.078 5.079 5.08 5.081 5.082 5.083 5.0840000000000005 5.085 5.086 5.087 5.088 5.089 5.09 5.091 5.0920000000000005 5.093 5.094 5.095 5.096 5.097 5.098 5.099 5.1000000000000005 5.101 5.102 5.103 5.104 5.105 5.106 5.107 5.1080000000000005 5.109 5.11 5.111 5.112 5.113 5.114 5.115 5.1160000000000005 5.117 5.118 5.119 5.12 5.121 5.122 5.123 5.124 5.125 5.126 5.127 5.128 5.1290000000000004 5.13 5.131 5.132 5.133 5.134 5.135 5.136 5.1370000000000005 5.138 5.139 5.14 5.141 5.142 5.143 5.144 5.1450000000000005 5.146 5.147 5.148 5.149 5.15 5.151 5.152 5.1530000000000005 5.154 5.155 5.156 5.157 5.158 5.159 5.16 5.1610000000000005 5.162 5.163 5.164 5.165 5.166 5.167 5.168 5.1690000000000005 5.17 5.171 5.172 5.173 5.174 5.175 5.176 5.1770000000000005 5.178 5.179 5.18 5.181 5.182 5.183 5.184 5.1850000000000005 5.186 5.187 5.188 5.189 5.19 5.191 5.192 5.1930000000000005 5.194 5.195 5.196 5.197 5.198 5.199 5.2 5.2010000000000005 5.202 5.203 5.204 5.205 5.206 5.207 5.208 5.2090000000000005 5.21 5.211 5.212 5.213 5.214 5.215 5.216 5.2170000000000005 5.218 5.219 5.22 5.221 5.222 5.223 5.224 5.2250000000000005 5.226 5.227 5.228 5.229 5.23 5.231 5.232 5.2330000000000005 5.234 5.235 5.236 5.237 5.238 5.239 5.24 5.2410000000000005 5.242 5.243 5.244 5.245 5.246 5.247 5.248 5.249 5.25 5.251 5.252 5.253 5.2540000000000004 5.255 5.256 5.257 5.258 5.259 5.26 5.261 5.2620000000000005 5.263 5.264 5.265 5.266 5.267 5.268 5.269 5.2700000000000005 5.271 5.272 5.273 5.274 5.275 5.276 5.277 5.2780000000000005 5.279 5.28 5.281 5.282 5.283 5.284 5.285 5.2860000000000005 5.287 5.288 5.289 5.29 5.291 5.292 5.293 5.2940000000000005 5.295 5.296 5.297 5.298 5.299 5.3 5.301 5.3020000000000005 5.303 5.304 5.305 5.306 5.307 5.308 5.309 5.3100000000000005 5.311 5.312 5.313 5.314 5.315 5.316 5.317 5.3180000000000005 5.319 5.32 5.321 5.322 5.323 5.324 5.325 5.3260000000000005 5.327 5.328 5.329 5.33 5.331 5.332 5.333 5.3340000000000005 5.335 5.336 5.337 5.338 5.339 5.34 5.341 5.3420000000000005 5.343 5.344 5.345 5.346 5.347 5.348 5.349 5.3500000000000005 5.351 5.352 5.353 5.354 5.355 5.356 5.357 5.3580000000000005 5.359 5.36 5.361 5.362 5.363 5.364 5.365 5.3660000000000005 5.367 5.368 5.369 5.37 5.371 5.372 5.373 5.3740000000000006 5.375 5.376 5.377 5.378 5.3790000000000004 5.38 5.381 5.382 5.383 5.384 5.385 5.386 5.3870000000000005 5.388 5.389 5.39 5.391 5.392 5.393 5.394 5.3950000000000005 5.396 5.397 5.398 5.399 5.4 5.401 5.402 5.4030000000000005 5.404 5.405 5.406 5.407 5.408 5.409 5.41 5.4110000000000005 5.412 5.413 5.414 5.415 5.416 5.417 5.418 5.4190000000000005 5.42 5.421 5.422 5.423 5.424 5.425 5.426 5.4270000000000005 5.428 5.429 5.43 5.431 5.432 5.433 5.434 5.4350000000000005

</pre>

5.04 5.041 5.042 5.043 5.0440000000000005 5.045 5.046 5.047 5.048 5.049 5.05 5.051 5.0520000000000005 5.053 5.054 5.055 5.056 5.057 5.058 5.059 5.0600000000000005 5.061 5.062 5.063 5.064 5.065 5.066 5.067 5.0680000000000005 5.069 5.07 5.071 5.072 5.073 5.074 5.075 5.0760000000000005 5.077 5.078 5.079 5.08 5.081 5.082 5.083 5.0840000000000005 5.085 5.086 5.087 5.088 5.089 5.09 5.091 5.0920000000000005 5.093 5.094 5.095 5.096 5.097 5.098 5.099 5.1000000000000005 5.101 5.102 5.103 5.104 5.105 5.106 5.107 5.1080000000000005 5.109 5.11 5.111 5.112 5.113 5.114 5.115 5.1160000000000005 5.117 5.118 5.119 5.12 5.121 5.122 5.123 5.124 5.125 5.126 5.127 5.128 5.1290000000000004 5.13 5.131 5.132 5.133 5.134 5.135 5.136 5.1370000000000005 5.138 5.139 5.14 5.141 5.142 5.143 5.144 5.1450000000000005 5.146 5.147 5.148 5.149 5.15 5.151 5.152 5.1530000000000005 5.154 5.155 5.156 5.157 5.158 5.159 5.16 5.1610000000000005 5.162 5.163 5.164 5.165 5.166 5.167 5.168 5.1690000000000005 5.17 5.171 5.172 5.173 5.174 5.175 5.176 5.1770000000000005 5.178 5.179 5.18 5.181 5.182 5.183 5.184 5.1850000000000005 5.186 5.187 5.188 5.189 5.19 5.191 5.192 5.1930000000000005 5.194 5.195 5.196 5.197 5.198 5.199 5.2 5.2010000000000005 5.202 5.203 5.204 5.205 5.206 5.207 5.208 5.2090000000000005 5.21 5.211 5.212 5.213 5.214 5.215 5.216 5.2170000000000005 5.218 5.219 5.22 5.221 5.222 5.223 5.224 5.2250000000000005 5.226 5.227 5.228 5.229 5.23 5.231 5.232 5.2330000000000005 5.234 5.235 5.236 5.237 5.238 5.239 5.24 5.2410000000000005 5.242 5.243 5.244 5.245 5.246 5.247 5.248 5.249 5.25 5.251 5.252 5.253 5.2540000000000004 5.255 5.256 5.257 5.258 5.259 5.26 5.261 5.2620000000000005 5.263 5.264 5.265 5.266 5.267 5.268 5.269 5.2700000000000005 5.271 5.272 5.273 5.274 5.275 5.276 5.277 5.2780000000000005 5.279 5.28 5.281 5.282 5.283 5.284 5.285 5.2860000000000005 5.287 5.288 5.289 5.29 5.291 5.292 5.293 5.2940000000000005 5.295 5.296 5.297 5.298 5.299 5.3 5.301 5.3020000000000005 5.303 5.304 5.305 5.306 5.307 5.308 5.309 5.3100000000000005 5.311 5.312 5.313 5.314 5.315 5.316 5.317 5.3180000000000005 5.319 5.32 5.321 5.322 5.323 5.324 5.325 5.3260000000000005 5.327 5.328 5.329 5.33 5.331 5.332 5.333 5.3340000000000005 5.335 5.336 5.337 5.338 5.339 5.34 5.341 5.3420000000000005 5.343 5.344 5.345 5.346 5.347 5.348 5.349 5.3500000000000005 5.351 5.352 5.353 5.354 5.355 5.356 5.357 5.3580000000000005 5.359 5.36 5.361 5.362 5.363 5.364 5.365 5.3660000000000005 5.367 5.368 5.369 5.37 5.371 5.372 5.373 5.3740000000000006 5.375 5.376 5.377 5.378 5.3790000000000004 5.38 5.381 5.382 5.383 5.384 5.385 5.386 5.3870000000000005 5.388 5.389 5.39 5.391 5.392 5.393 5.394 5.3950000000000005 5.396 5.397 5.398 5.399 5.4 5.401 5.402 5.4030000000000005 5.404 5.405 5.406 5.407 5.408 5.409 5.41 5.4110000000000005 5.412 5.413 5.414 5.415 5.416 5.417 5.418 5.4190000000000005 5.42 5.421 5.422 5.423 5.424 5.425 5.426 5.4270000000000005 5.428 5.429 5.43 5.431 5.432 5.433 5.434 5.4350000000000005

end{sphinxVerbatim}

5.04 5.041 5.042 5.043 5.0440000000000005 5.045 5.046 5.047 5.048 5.049 5.05 5.051 5.0520000000000005 5.053 5.054 5.055 5.056 5.057 5.058 5.059 5.0600000000000005 5.061 5.062 5.063 5.064 5.065 5.066 5.067 5.0680000000000005 5.069 5.07 5.071 5.072 5.073 5.074 5.075 5.0760000000000005 5.077 5.078 5.079 5.08 5.081 5.082 5.083 5.0840000000000005 5.085 5.086 5.087 5.088 5.089 5.09 5.091 5.0920000000000005 5.093 5.094 5.095 5.096 5.097 5.098 5.099 5.1000000000000005 5.101 5.102 5.103 5.104 5.105 5.106 5.107 5.1080000000000005 5.109 5.11 5.111 5.112 5.113 5.114 5.115 5.1160000000000005 5.117 5.118 5.119 5.12 5.121 5.122 5.123 5.124 5.125 5.126 5.127 5.128 5.1290000000000004 5.13 5.131 5.132 5.133 5.134 5.135 5.136 5.1370000000000005 5.138 5.139 5.14 5.141 5.142 5.143 5.144 5.1450000000000005 5.146 5.147 5.148 5.149 5.15 5.151 5.152 5.1530000000000005 5.154 5.155 5.156 5.157 5.158 5.159 5.16 5.1610000000000005 5.162 5.163 5.164 5.165 5.166 5.167 5.168 5.1690000000000005 5.17 5.171 5.172 5.173 5.174 5.175 5.176 5.1770000000000005 5.178 5.179 5.18 5.181 5.182 5.183 5.184 5.1850000000000005 5.186 5.187 5.188 5.189 5.19 5.191 5.192 5.1930000000000005 5.194 5.195 5.196 5.197 5.198 5.199 5.2 5.2010000000000005 5.202 5.203 5.204 5.205 5.206 5.207 5.208 5.2090000000000005 5.21 5.211 5.212 5.213 5.214 5.215 5.216 5.2170000000000005 5.218 5.219 5.22 5.221 5.222 5.223 5.224 5.2250000000000005 5.226 5.227 5.228 5.229 5.23 5.231 5.232 5.2330000000000005 5.234 5.235 5.236 5.237 5.238 5.239 5.24 5.2410000000000005 5.242 5.243 5.244 5.245 5.246 5.247 5.248 5.249 5.25 5.251 5.252 5.253 5.2540000000000004 5.255 5.256 5.257 5.258 5.259 5.26 5.261 5.2620000000000005 5.263 5.264 5.265 5.266 5.267 5.268 5.269 5.2700000000000005 5.271 5.272 5.273 5.274 5.275 5.276 5.277 5.2780000000000005 5.279 5.28 5.281 5.282 5.283 5.284 5.285 5.2860000000000005 5.287 5.288 5.289 5.29 5.291 5.292 5.293 5.2940000000000005 5.295 5.296 5.297 5.298 5.299 5.3 5.301 5.3020000000000005 5.303 5.304 5.305 5.306 5.307 5.308 5.309 5.3100000000000005 5.311 5.312 5.313 5.314 5.315 5.316 5.317 5.3180000000000005 5.319 5.32 5.321 5.322 5.323 5.324 5.325 5.3260000000000005 5.327 5.328 5.329 5.33 5.331 5.332 5.333 5.3340000000000005 5.335 5.336 5.337 5.338 5.339 5.34 5.341 5.3420000000000005 5.343 5.344 5.345 5.346 5.347 5.348 5.349 5.3500000000000005 5.351 5.352 5.353 5.354 5.355 5.356 5.357 5.3580000000000005 5.359 5.36 5.361 5.362 5.363 5.364 5.365 5.3660000000000005 5.367 5.368 5.369 5.37 5.371 5.372 5.373 5.3740000000000006 5.375 5.376 5.377 5.378 5.3790000000000004 5.38 5.381 5.382 5.383 5.384 5.385 5.386 5.3870000000000005 5.388 5.389 5.39 5.391 5.392 5.393 5.394 5.3950000000000005 5.396 5.397 5.398 5.399 5.4 5.401 5.402 5.4030000000000005 5.404 5.405 5.406 5.407 5.408 5.409 5.41 5.4110000000000005 5.412 5.413 5.414 5.415 5.416 5.417 5.418 5.4190000000000005 5.42 5.421 5.422 5.423 5.424 5.425 5.426 5.4270000000000005 5.428 5.429 5.43 5.431 5.432 5.433 5.434 5.4350000000000005

more-to-come:

5.436 5.437 5.438 5.439 5.44 5.441 5.442 5.4430000000000005 5.444 5.445 5.446 5.447 5.448 5.449 5.45 5.4510000000000005 5.452 5.453 5.454 5.455 5.456 5.457 5.458 5.4590000000000005 5.46 5.461 5.462 5.463 5.464 5.465 5.466 5.4670000000000005 5.468 5.469 5.47 5.471 5.472 5.473 5.474 5.4750000000000005 5.476 5.477 5.478 5.479 5.48 5.481 5.482 5.4830000000000005 5.484 5.485 5.486 5.487 5.488 5.489 5.49 5.4910000000000005 5.492 5.493 5.494 5.495 5.496 5.497 5.498 5.4990000000000006 5.5 5.501 5.502 5.503 5.5040000000000004 5.505 5.506 5.507 5.508 5.509 5.51 5.511 5.5120000000000005 5.513 5.514 5.515 5.516 5.517 5.518 5.519 5.5200000000000005 5.521 5.522 5.523 5.524 5.525 5.526 5.527 5.5280000000000005 5.529 5.53 5.531 5.532 5.533 5.534 5.535 5.5360000000000005 5.537 5.538 5.539 5.54 5.541 5.542 5.543 5.5440000000000005 5.545 5.546 5.547 5.548 5.549 5.55 5.551 5.5520000000000005 5.553 5.554 5.555 5.556 5.557 5.558 5.559 5.5600000000000005 5.561 5.562 5.563 5.564 5.565 5.566 5.567 5.5680000000000005 5.569 5.57 5.571 5.572 5.573 5.574 5.575 5.5760000000000005 5.577 5.578 5.579 5.58 5.581

</pre>

5.436 5.437 5.438 5.439 5.44 5.441 5.442 5.4430000000000005 5.444 5.445 5.446 5.447 5.448 5.449 5.45 5.4510000000000005 5.452 5.453 5.454 5.455 5.456 5.457 5.458 5.4590000000000005 5.46 5.461 5.462 5.463 5.464 5.465 5.466 5.4670000000000005 5.468 5.469 5.47 5.471 5.472 5.473 5.474 5.4750000000000005 5.476 5.477 5.478 5.479 5.48 5.481 5.482 5.4830000000000005 5.484 5.485 5.486 5.487 5.488 5.489 5.49 5.4910000000000005 5.492 5.493 5.494 5.495 5.496 5.497 5.498 5.4990000000000006 5.5 5.501 5.502 5.503 5.5040000000000004 5.505 5.506 5.507 5.508 5.509 5.51 5.511 5.5120000000000005 5.513 5.514 5.515 5.516 5.517 5.518 5.519 5.5200000000000005 5.521 5.522 5.523 5.524 5.525 5.526 5.527 5.5280000000000005 5.529 5.53 5.531 5.532 5.533 5.534 5.535 5.5360000000000005 5.537 5.538 5.539 5.54 5.541 5.542 5.543 5.5440000000000005 5.545 5.546 5.547 5.548 5.549 5.55 5.551 5.5520000000000005 5.553 5.554 5.555 5.556 5.557 5.558 5.559 5.5600000000000005 5.561 5.562 5.563 5.564 5.565 5.566 5.567 5.5680000000000005 5.569 5.57 5.571 5.572 5.573 5.574 5.575 5.5760000000000005 5.577 5.578 5.579 5.58 5.581

end{sphinxVerbatim}

5.436 5.437 5.438 5.439 5.44 5.441 5.442 5.4430000000000005 5.444 5.445 5.446 5.447 5.448 5.449 5.45 5.4510000000000005 5.452 5.453 5.454 5.455 5.456 5.457 5.458 5.4590000000000005 5.46 5.461 5.462 5.463 5.464 5.465 5.466 5.4670000000000005 5.468 5.469 5.47 5.471 5.472 5.473 5.474 5.4750000000000005 5.476 5.477 5.478 5.479 5.48 5.481 5.482 5.4830000000000005 5.484 5.485 5.486 5.487 5.488 5.489 5.49 5.4910000000000005 5.492 5.493 5.494 5.495 5.496 5.497 5.498 5.4990000000000006 5.5 5.501 5.502 5.503 5.5040000000000004 5.505 5.506 5.507 5.508 5.509 5.51 5.511 5.5120000000000005 5.513 5.514 5.515 5.516 5.517 5.518 5.519 5.5200000000000005 5.521 5.522 5.523 5.524 5.525 5.526 5.527 5.5280000000000005 5.529 5.53 5.531 5.532 5.533 5.534 5.535 5.5360000000000005 5.537 5.538 5.539 5.54 5.541 5.542 5.543 5.5440000000000005 5.545 5.546 5.547 5.548 5.549 5.55 5.551 5.5520000000000005 5.553 5.554 5.555 5.556 5.557 5.558 5.559 5.5600000000000005 5.561 5.562 5.563 5.564 5.565 5.566 5.567 5.5680000000000005 5.569 5.57 5.571 5.572 5.573 5.574 5.575 5.5760000000000005 5.577 5.578 5.579 5.58 5.581

more-to-come:

5.582 5.583 5.5840000000000005 5.585 5.586 5.587 5.588 5.589 5.59 5.591 5.5920000000000005 5.593 5.594 5.595 5.596 5.597 5.598 5.599 5.6000000000000005 5.601 5.602 5.603 5.604 5.605 5.606 5.607 5.6080000000000005 5.609 5.61 5.611 5.612 5.613 5.614 5.615 5.6160000000000005 5.617 5.618 5.619 5.62 5.621 5.622 5.623 5.6240000000000006 5.625 5.626 5.627 5.628 5.6290000000000004 5.63 5.631 5.632 5.633 5.634 5.635 5.636 5.6370000000000005 5.638 5.639 5.64 5.641 5.642 5.643 5.644 5.6450000000000005 5.646 5.647 5.648 5.649 5.65 5.651 5.652 5.6530000000000005 5.654 5.655 5.656 5.657 5.658 5.659 5.66 5.6610000000000005 5.662 5.663 5.664 5.665 5.666 5.667 5.668 5.6690000000000005 5.67 5.671 5.672 5.673 5.674 5.675 5.676 5.6770000000000005 5.678 5.679 5.68 5.681 5.682 5.683 5.684 5.6850000000000005 5.686 5.687 5.688 5.689 5.69 5.691 5.692 5.6930000000000005 5.694 5.695 5.696 5.697 5.698 5.699 5.7 5.7010000000000005 5.702 5.703 5.704 5.705 5.706 5.707 5.708 5.7090000000000005 5.71 5.711 5.712 5.713 5.714 5.715 5.716 5.7170000000000005 5.718 5.719 5.72 5.721 5.722 5.723 5.724 5.7250000000000005 5.726 5.727 5.728 5.729 5.73 5.731 5.732 5.7330000000000005 5.734 5.735 5.736 5.737 5.738 5.739 5.74 5.7410000000000005 5.742 5.743 5.744 5.745 5.746 5.747 5.748 5.7490000000000006 5.75 5.751 5.752 5.753 5.7540000000000004 5.755 5.756 5.757000000000001 5.758 5.759 5.76 5.761 5.7620000000000005 5.763 5.764 5.765 5.766 5.767 5.768 5.769 5.7700000000000005 5.771 5.772 5.773 5.774 5.775 5.776 5.777 5.7780000000000005 5.779 5.78 5.781 5.782 5.783 5.784 5.785 5.7860000000000005 5.787 5.788 5.789 5.79 5.791 5.792 5.793 5.7940000000000005 5.795 5.796 5.797 5.798 5.799 5.8 5.801 5.8020000000000005 5.803 5.804 5.805 5.806 5.807 5.808 5.809 5.8100000000000005 5.811 5.812 5.813 5.814 5.815 5.816 5.817 5.8180000000000005 5.819 5.82 5.821 5.822 5.823 5.824 5.825 5.8260000000000005 5.827 5.828 5.829 5.83 5.831 5.832 5.833 5.8340000000000005 5.835 5.836 5.837 5.838 5.839 5.84 5.841 5.8420000000000005 5.843 5.844 5.845 5.846 5.847 5.848 5.849 5.8500000000000005 5.851 5.852 5.853 5.854 5.855 5.856 5.857 5.8580000000000005 5.859 5.86 5.861 5.862 5.863 5.864 5.865 5.8660000000000005 5.867 5.868 5.869 5.87 5.871 5.872 5.873 5.8740000000000006 5.875 5.876 5.877 5.878 5.8790000000000004 5.88 5.881 5.882000000000001 5.883 5.884 5.885 5.886 5.8870000000000005 5.888 5.889 5.89 5.891 5.892 5.893 5.894 5.8950000000000005 5.896 5.897 5.898 5.899 5.9 5.901 5.902 5.9030000000000005 5.904 5.905 5.906 5.907 5.908 5.909 5.91 5.9110000000000005 5.912 5.913 5.914 5.915 5.916 5.917 5.918 5.9190000000000005 5.92 5.921 5.922 5.923 5.924 5.925 5.926 5.9270000000000005 5.928 5.929 5.93 5.931 5.932 5.933 5.934 5.9350000000000005 5.936 5.937 5.938 5.939 5.94 5.941 5.942 5.9430000000000005 5.944 5.945 5.946 5.947 5.948 5.949 5.95 5.9510000000000005 5.952 5.953 5.954 5.955 5.956 5.957 5.958 5.9590000000000005 5.96 5.961 5.962 5.963 5.964 5.965 5.966 5.9670000000000005 5.968 5.969 5.97 5.971 5.972 5.973 5.974 5.9750000000000005 5.976 5.977 5.978

</pre>

5.582 5.583 5.5840000000000005 5.585 5.586 5.587 5.588 5.589 5.59 5.591 5.5920000000000005 5.593 5.594 5.595 5.596 5.597 5.598 5.599 5.6000000000000005 5.601 5.602 5.603 5.604 5.605 5.606 5.607 5.6080000000000005 5.609 5.61 5.611 5.612 5.613 5.614 5.615 5.6160000000000005 5.617 5.618 5.619 5.62 5.621 5.622 5.623 5.6240000000000006 5.625 5.626 5.627 5.628 5.6290000000000004 5.63 5.631 5.632 5.633 5.634 5.635 5.636 5.6370000000000005 5.638 5.639 5.64 5.641 5.642 5.643 5.644 5.6450000000000005 5.646 5.647 5.648 5.649 5.65 5.651 5.652 5.6530000000000005 5.654 5.655 5.656 5.657 5.658 5.659 5.66 5.6610000000000005 5.662 5.663 5.664 5.665 5.666 5.667 5.668 5.6690000000000005 5.67 5.671 5.672 5.673 5.674 5.675 5.676 5.6770000000000005 5.678 5.679 5.68 5.681 5.682 5.683 5.684 5.6850000000000005 5.686 5.687 5.688 5.689 5.69 5.691 5.692 5.6930000000000005 5.694 5.695 5.696 5.697 5.698 5.699 5.7 5.7010000000000005 5.702 5.703 5.704 5.705 5.706 5.707 5.708 5.7090000000000005 5.71 5.711 5.712 5.713 5.714 5.715 5.716 5.7170000000000005 5.718 5.719 5.72 5.721 5.722 5.723 5.724 5.7250000000000005 5.726 5.727 5.728 5.729 5.73 5.731 5.732 5.7330000000000005 5.734 5.735 5.736 5.737 5.738 5.739 5.74 5.7410000000000005 5.742 5.743 5.744 5.745 5.746 5.747 5.748 5.7490000000000006 5.75 5.751 5.752 5.753 5.7540000000000004 5.755 5.756 5.757000000000001 5.758 5.759 5.76 5.761 5.7620000000000005 5.763 5.764 5.765 5.766 5.767 5.768 5.769 5.7700000000000005 5.771 5.772 5.773 5.774 5.775 5.776 5.777 5.7780000000000005 5.779 5.78 5.781 5.782 5.783 5.784 5.785 5.7860000000000005 5.787 5.788 5.789 5.79 5.791 5.792 5.793 5.7940000000000005 5.795 5.796 5.797 5.798 5.799 5.8 5.801 5.8020000000000005 5.803 5.804 5.805 5.806 5.807 5.808 5.809 5.8100000000000005 5.811 5.812 5.813 5.814 5.815 5.816 5.817 5.8180000000000005 5.819 5.82 5.821 5.822 5.823 5.824 5.825 5.8260000000000005 5.827 5.828 5.829 5.83 5.831 5.832 5.833 5.8340000000000005 5.835 5.836 5.837 5.838 5.839 5.84 5.841 5.8420000000000005 5.843 5.844 5.845 5.846 5.847 5.848 5.849 5.8500000000000005 5.851 5.852 5.853 5.854 5.855 5.856 5.857 5.8580000000000005 5.859 5.86 5.861 5.862 5.863 5.864 5.865 5.8660000000000005 5.867 5.868 5.869 5.87 5.871 5.872 5.873 5.8740000000000006 5.875 5.876 5.877 5.878 5.8790000000000004 5.88 5.881 5.882000000000001 5.883 5.884 5.885 5.886 5.8870000000000005 5.888 5.889 5.89 5.891 5.892 5.893 5.894 5.8950000000000005 5.896 5.897 5.898 5.899 5.9 5.901 5.902 5.9030000000000005 5.904 5.905 5.906 5.907 5.908 5.909 5.91 5.9110000000000005 5.912 5.913 5.914 5.915 5.916 5.917 5.918 5.9190000000000005 5.92 5.921 5.922 5.923 5.924 5.925 5.926 5.9270000000000005 5.928 5.929 5.93 5.931 5.932 5.933 5.934 5.9350000000000005 5.936 5.937 5.938 5.939 5.94 5.941 5.942 5.9430000000000005 5.944 5.945 5.946 5.947 5.948 5.949 5.95 5.9510000000000005 5.952 5.953 5.954 5.955 5.956 5.957 5.958 5.9590000000000005 5.96 5.961 5.962 5.963 5.964 5.965 5.966 5.9670000000000005 5.968 5.969 5.97 5.971 5.972 5.973 5.974 5.9750000000000005 5.976 5.977 5.978

end{sphinxVerbatim}

5.582 5.583 5.5840000000000005 5.585 5.586 5.587 5.588 5.589 5.59 5.591 5.5920000000000005 5.593 5.594 5.595 5.596 5.597 5.598 5.599 5.6000000000000005 5.601 5.602 5.603 5.604 5.605 5.606 5.607 5.6080000000000005 5.609 5.61 5.611 5.612 5.613 5.614 5.615 5.6160000000000005 5.617 5.618 5.619 5.62 5.621 5.622 5.623 5.6240000000000006 5.625 5.626 5.627 5.628 5.6290000000000004 5.63 5.631 5.632 5.633 5.634 5.635 5.636 5.6370000000000005 5.638 5.639 5.64 5.641 5.642 5.643 5.644 5.6450000000000005 5.646 5.647 5.648 5.649 5.65 5.651 5.652 5.6530000000000005 5.654 5.655 5.656 5.657 5.658 5.659 5.66 5.6610000000000005 5.662 5.663 5.664 5.665 5.666 5.667 5.668 5.6690000000000005 5.67 5.671 5.672 5.673 5.674 5.675 5.676 5.6770000000000005 5.678 5.679 5.68 5.681 5.682 5.683 5.684 5.6850000000000005 5.686 5.687 5.688 5.689 5.69 5.691 5.692 5.6930000000000005 5.694 5.695 5.696 5.697 5.698 5.699 5.7 5.7010000000000005 5.702 5.703 5.704 5.705 5.706 5.707 5.708 5.7090000000000005 5.71 5.711 5.712 5.713 5.714 5.715 5.716 5.7170000000000005 5.718 5.719 5.72 5.721 5.722 5.723 5.724 5.7250000000000005 5.726 5.727 5.728 5.729 5.73 5.731 5.732 5.7330000000000005 5.734 5.735 5.736 5.737 5.738 5.739 5.74 5.7410000000000005 5.742 5.743 5.744 5.745 5.746 5.747 5.748 5.7490000000000006 5.75 5.751 5.752 5.753 5.7540000000000004 5.755 5.756 5.757000000000001 5.758 5.759 5.76 5.761 5.7620000000000005 5.763 5.764 5.765 5.766 5.767 5.768 5.769 5.7700000000000005 5.771 5.772 5.773 5.774 5.775 5.776 5.777 5.7780000000000005 5.779 5.78 5.781 5.782 5.783 5.784 5.785 5.7860000000000005 5.787 5.788 5.789 5.79 5.791 5.792 5.793 5.7940000000000005 5.795 5.796 5.797 5.798 5.799 5.8 5.801 5.8020000000000005 5.803 5.804 5.805 5.806 5.807 5.808 5.809 5.8100000000000005 5.811 5.812 5.813 5.814 5.815 5.816 5.817 5.8180000000000005 5.819 5.82 5.821 5.822 5.823 5.824 5.825 5.8260000000000005 5.827 5.828 5.829 5.83 5.831 5.832 5.833 5.8340000000000005 5.835 5.836 5.837 5.838 5.839 5.84 5.841 5.8420000000000005 5.843 5.844 5.845 5.846 5.847 5.848 5.849 5.8500000000000005 5.851 5.852 5.853 5.854 5.855 5.856 5.857 5.8580000000000005 5.859 5.86 5.861 5.862 5.863 5.864 5.865 5.8660000000000005 5.867 5.868 5.869 5.87 5.871 5.872 5.873 5.8740000000000006 5.875 5.876 5.877 5.878 5.8790000000000004 5.88 5.881 5.882000000000001 5.883 5.884 5.885 5.886 5.8870000000000005 5.888 5.889 5.89 5.891 5.892 5.893 5.894 5.8950000000000005 5.896 5.897 5.898 5.899 5.9 5.901 5.902 5.9030000000000005 5.904 5.905 5.906 5.907 5.908 5.909 5.91 5.9110000000000005 5.912 5.913 5.914 5.915 5.916 5.917 5.918 5.9190000000000005 5.92 5.921 5.922 5.923 5.924 5.925 5.926 5.9270000000000005 5.928 5.929 5.93 5.931 5.932 5.933 5.934 5.9350000000000005 5.936 5.937 5.938 5.939 5.94 5.941 5.942 5.9430000000000005 5.944 5.945 5.946 5.947 5.948 5.949 5.95 5.9510000000000005 5.952 5.953 5.954 5.955 5.956 5.957 5.958 5.9590000000000005 5.96 5.961 5.962 5.963 5.964 5.965 5.966 5.9670000000000005 5.968 5.969 5.97 5.971 5.972 5.973 5.974 5.9750000000000005 5.976 5.977 5.978

more-to-come:

5.979 5.98 5.981 5.982 5.9830000000000005 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.9910000000000005 5.992 5.993 5.994 5.995 5.996 5.997 5.998 5.9990000000000006 6.0 6.001 6.002 6.003 6.0040000000000004 6.005 6.006 6.007000000000001 6.008 6.009 6.01 6.011 6.0120000000000005 6.013 6.014 6.015000000000001 6.016 6.017 6.018 6.019 6.0200000000000005 6.021 6.022 6.023 6.024 6.025 6.026 6.027 6.0280000000000005 6.029 6.03 6.031 6.032 6.033 6.034 6.035 6.0360000000000005 6.037 6.038 6.039 6.04 6.041 6.042 6.043 6.0440000000000005 6.045 6.046 6.047 6.048 6.049 6.05 6.051 6.0520000000000005 6.053 6.054 6.055 6.056 6.057 6.058 6.059 6.0600000000000005 6.061 6.062 6.063 6.064 6.065 6.066 6.067 6.0680000000000005 6.069 6.07 6.071 6.072 6.073 6.074 6.075 6.0760000000000005 6.077 6.078 6.079 6.08 6.081 6.082 6.083 6.0840000000000005 6.085 6.086 6.087 6.088 6.089 6.09 6.091 6.0920000000000005 6.093 6.094 6.095 6.096 6.097 6.098 6.099 6.1000000000000005 6.101 6.102 6.103 6.104 6.105 6.106 6.107 6.1080000000000005 6.109 6.11 6.111 6.112 6.113 6.114 6.115 6.1160000000000005 6.117 6.118 6.119 6.12 6.121 6.122 6.123 6.1240000000000006 6.125 6.126

</pre>

5.979 5.98 5.981 5.982 5.9830000000000005 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.9910000000000005 5.992 5.993 5.994 5.995 5.996 5.997 5.998 5.9990000000000006 6.0 6.001 6.002 6.003 6.0040000000000004 6.005 6.006 6.007000000000001 6.008 6.009 6.01 6.011 6.0120000000000005 6.013 6.014 6.015000000000001 6.016 6.017 6.018 6.019 6.0200000000000005 6.021 6.022 6.023 6.024 6.025 6.026 6.027 6.0280000000000005 6.029 6.03 6.031 6.032 6.033 6.034 6.035 6.0360000000000005 6.037 6.038 6.039 6.04 6.041 6.042 6.043 6.0440000000000005 6.045 6.046 6.047 6.048 6.049 6.05 6.051 6.0520000000000005 6.053 6.054 6.055 6.056 6.057 6.058 6.059 6.0600000000000005 6.061 6.062 6.063 6.064 6.065 6.066 6.067 6.0680000000000005 6.069 6.07 6.071 6.072 6.073 6.074 6.075 6.0760000000000005 6.077 6.078 6.079 6.08 6.081 6.082 6.083 6.0840000000000005 6.085 6.086 6.087 6.088 6.089 6.09 6.091 6.0920000000000005 6.093 6.094 6.095 6.096 6.097 6.098 6.099 6.1000000000000005 6.101 6.102 6.103 6.104 6.105 6.106 6.107 6.1080000000000005 6.109 6.11 6.111 6.112 6.113 6.114 6.115 6.1160000000000005 6.117 6.118 6.119 6.12 6.121 6.122 6.123 6.1240000000000006 6.125 6.126

end{sphinxVerbatim}

5.979 5.98 5.981 5.982 5.9830000000000005 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.9910000000000005 5.992 5.993 5.994 5.995 5.996 5.997 5.998 5.9990000000000006 6.0 6.001 6.002 6.003 6.0040000000000004 6.005 6.006 6.007000000000001 6.008 6.009 6.01 6.011 6.0120000000000005 6.013 6.014 6.015000000000001 6.016 6.017 6.018 6.019 6.0200000000000005 6.021 6.022 6.023 6.024 6.025 6.026 6.027 6.0280000000000005 6.029 6.03 6.031 6.032 6.033 6.034 6.035 6.0360000000000005 6.037 6.038 6.039 6.04 6.041 6.042 6.043 6.0440000000000005 6.045 6.046 6.047 6.048 6.049 6.05 6.051 6.0520000000000005 6.053 6.054 6.055 6.056 6.057 6.058 6.059 6.0600000000000005 6.061 6.062 6.063 6.064 6.065 6.066 6.067 6.0680000000000005 6.069 6.07 6.071 6.072 6.073 6.074 6.075 6.0760000000000005 6.077 6.078 6.079 6.08 6.081 6.082 6.083 6.0840000000000005 6.085 6.086 6.087 6.088 6.089 6.09 6.091 6.0920000000000005 6.093 6.094 6.095 6.096 6.097 6.098 6.099 6.1000000000000005 6.101 6.102 6.103 6.104 6.105 6.106 6.107 6.1080000000000005 6.109 6.11 6.111 6.112 6.113 6.114 6.115 6.1160000000000005 6.117 6.118 6.119 6.12 6.121 6.122 6.123 6.1240000000000006 6.125 6.126

more-to-come:

6.127 6.128 6.1290000000000004 6.13 6.131 6.132000000000001 6.133 6.134 6.135 6.136 6.1370000000000005 6.138 6.139 6.140000000000001 6.141 6.142 6.143 6.144 6.1450000000000005 6.146 6.147 6.148 6.149 6.15 6.151 6.152 6.1530000000000005 6.154 6.155 6.156 6.157 6.158 6.159 6.16 6.1610000000000005 6.162 6.163 6.164 6.165 6.166 6.167 6.168 6.1690000000000005 6.17 6.171 6.172 6.173 6.174 6.175 6.176 6.1770000000000005 6.178 6.179 6.18 6.181 6.182 6.183 6.184 6.1850000000000005 6.186 6.187 6.188 6.189 6.19 6.191 6.192 6.1930000000000005 6.194 6.195 6.196 6.197 6.198 6.199 6.2 6.2010000000000005 6.202 6.203 6.204 6.205 6.206 6.207 6.208 6.2090000000000005 6.21 6.211 6.212 6.213 6.214 6.215 6.216 6.2170000000000005 6.218 6.219 6.22 6.221 6.222 6.223 6.224 6.2250000000000005 6.226 6.227 6.228 6.229 6.23 6.231 6.232 6.2330000000000005 6.234 6.235 6.236 6.237 6.238 6.239 6.24 6.2410000000000005 6.242 6.243 6.244 6.245 6.246 6.247 6.248 6.2490000000000006 6.25 6.251 6.252 6.253 6.2540000000000004 6.255 6.256 6.257000000000001 6.258 6.259 6.26 6.261 6.2620000000000005 6.263 6.264 6.265000000000001 6.266 6.267 6.268 6.269 6.2700000000000005 6.271 6.272 6.273 6.274 6.275 6.276 6.277 6.2780000000000005 6.279 6.28 6.281 6.282 6.283 6.284 6.285 6.2860000000000005 6.287 6.288 6.289 6.29 6.291 6.292 6.293 6.2940000000000005 6.295 6.296 6.297 6.298 6.299 6.3 6.301 6.3020000000000005 6.303 6.304 6.305 6.306 6.307 6.308 6.309 6.3100000000000005 6.311 6.312 6.313 6.314 6.315 6.316 6.317 6.3180000000000005 6.319 6.32 6.321 6.322 6.323 6.324 6.325 6.3260000000000005 6.327 6.328 6.329 6.33 6.331 6.332 6.333 6.3340000000000005 6.335 6.336 6.337 6.338 6.339 6.34 6.341 6.3420000000000005 6.343 6.344 6.345 6.346 6.347 6.348 6.349 6.3500000000000005 6.351 6.352 6.353 6.354 6.355 6.356 6.357 6.3580000000000005 6.359 6.36 6.361 6.362 6.363 6.364 6.365 6.3660000000000005 6.367 6.368 6.369 6.37 6.371 6.372 6.373 6.3740000000000006 6.375 6.376 6.377 6.378 6.3790000000000004 6.38 6.381 6.382000000000001 6.383 6.384 6.385 6.386 6.3870000000000005 6.388 6.389 6.390000000000001 6.391 6.392 6.393 6.394 6.3950000000000005 6.396 6.397 6.398000000000001 6.399 6.4 6.401 6.402 6.4030000000000005 6.404 6.405 6.406 6.407 6.408 6.409 6.41 6.4110000000000005 6.412 6.413 6.414 6.415 6.416 6.417 6.418 6.4190000000000005 6.42 6.421 6.422 6.423 6.424 6.425 6.426 6.4270000000000005 6.428 6.429 6.43 6.431 6.432 6.433 6.434 6.4350000000000005 6.436 6.437 6.438 6.439 6.44 6.441 6.442 6.4430000000000005 6.444 6.445 6.446 6.447 6.448 6.449 6.45 6.4510000000000005 6.452 6.453 6.454 6.455 6.456 6.457 6.458 6.4590000000000005 6.46 6.461 6.462 6.463 6.464 6.465 6.466 6.4670000000000005 6.468 6.469 6.47 6.471 6.472 6.473 6.474 6.4750000000000005 6.476 6.477 6.478 6.479 6.48 6.481 6.482 6.4830000000000005 6.484 6.485 6.486 6.487 6.488 6.489 6.49 6.4910000000000005 6.492 6.493 6.494 6.495 6.496 6.497 6.498 6.4990000000000006 6.5 6.501 6.502 6.503 6.5040000000000004 6.505 6.506 6.507000000000001 6.508 6.509 6.51 6.511 6.5120000000000005 6.513 6.514 6.515000000000001 6.516 6.517 6.518 6.519 6.5200000000000005 6.521 6.522

</pre>

6.127 6.128 6.1290000000000004 6.13 6.131 6.132000000000001 6.133 6.134 6.135 6.136 6.1370000000000005 6.138 6.139 6.140000000000001 6.141 6.142 6.143 6.144 6.1450000000000005 6.146 6.147 6.148 6.149 6.15 6.151 6.152 6.1530000000000005 6.154 6.155 6.156 6.157 6.158 6.159 6.16 6.1610000000000005 6.162 6.163 6.164 6.165 6.166 6.167 6.168 6.1690000000000005 6.17 6.171 6.172 6.173 6.174 6.175 6.176 6.1770000000000005 6.178 6.179 6.18 6.181 6.182 6.183 6.184 6.1850000000000005 6.186 6.187 6.188 6.189 6.19 6.191 6.192 6.1930000000000005 6.194 6.195 6.196 6.197 6.198 6.199 6.2 6.2010000000000005 6.202 6.203 6.204 6.205 6.206 6.207 6.208 6.2090000000000005 6.21 6.211 6.212 6.213 6.214 6.215 6.216 6.2170000000000005 6.218 6.219 6.22 6.221 6.222 6.223 6.224 6.2250000000000005 6.226 6.227 6.228 6.229 6.23 6.231 6.232 6.2330000000000005 6.234 6.235 6.236 6.237 6.238 6.239 6.24 6.2410000000000005 6.242 6.243 6.244 6.245 6.246 6.247 6.248 6.2490000000000006 6.25 6.251 6.252 6.253 6.2540000000000004 6.255 6.256 6.257000000000001 6.258 6.259 6.26 6.261 6.2620000000000005 6.263 6.264 6.265000000000001 6.266 6.267 6.268 6.269 6.2700000000000005 6.271 6.272 6.273 6.274 6.275 6.276 6.277 6.2780000000000005 6.279 6.28 6.281 6.282 6.283 6.284 6.285 6.2860000000000005 6.287 6.288 6.289 6.29 6.291 6.292 6.293 6.2940000000000005 6.295 6.296 6.297 6.298 6.299 6.3 6.301 6.3020000000000005 6.303 6.304 6.305 6.306 6.307 6.308 6.309 6.3100000000000005 6.311 6.312 6.313 6.314 6.315 6.316 6.317 6.3180000000000005 6.319 6.32 6.321 6.322 6.323 6.324 6.325 6.3260000000000005 6.327 6.328 6.329 6.33 6.331 6.332 6.333 6.3340000000000005 6.335 6.336 6.337 6.338 6.339 6.34 6.341 6.3420000000000005 6.343 6.344 6.345 6.346 6.347 6.348 6.349 6.3500000000000005 6.351 6.352 6.353 6.354 6.355 6.356 6.357 6.3580000000000005 6.359 6.36 6.361 6.362 6.363 6.364 6.365 6.3660000000000005 6.367 6.368 6.369 6.37 6.371 6.372 6.373 6.3740000000000006 6.375 6.376 6.377 6.378 6.3790000000000004 6.38 6.381 6.382000000000001 6.383 6.384 6.385 6.386 6.3870000000000005 6.388 6.389 6.390000000000001 6.391 6.392 6.393 6.394 6.3950000000000005 6.396 6.397 6.398000000000001 6.399 6.4 6.401 6.402 6.4030000000000005 6.404 6.405 6.406 6.407 6.408 6.409 6.41 6.4110000000000005 6.412 6.413 6.414 6.415 6.416 6.417 6.418 6.4190000000000005 6.42 6.421 6.422 6.423 6.424 6.425 6.426 6.4270000000000005 6.428 6.429 6.43 6.431 6.432 6.433 6.434 6.4350000000000005 6.436 6.437 6.438 6.439 6.44 6.441 6.442 6.4430000000000005 6.444 6.445 6.446 6.447 6.448 6.449 6.45 6.4510000000000005 6.452 6.453 6.454 6.455 6.456 6.457 6.458 6.4590000000000005 6.46 6.461 6.462 6.463 6.464 6.465 6.466 6.4670000000000005 6.468 6.469 6.47 6.471 6.472 6.473 6.474 6.4750000000000005 6.476 6.477 6.478 6.479 6.48 6.481 6.482 6.4830000000000005 6.484 6.485 6.486 6.487 6.488 6.489 6.49 6.4910000000000005 6.492 6.493 6.494 6.495 6.496 6.497 6.498 6.4990000000000006 6.5 6.501 6.502 6.503 6.5040000000000004 6.505 6.506 6.507000000000001 6.508 6.509 6.51 6.511 6.5120000000000005 6.513 6.514 6.515000000000001 6.516 6.517 6.518 6.519 6.5200000000000005 6.521 6.522

end{sphinxVerbatim}

6.127 6.128 6.1290000000000004 6.13 6.131 6.132000000000001 6.133 6.134 6.135 6.136 6.1370000000000005 6.138 6.139 6.140000000000001 6.141 6.142 6.143 6.144 6.1450000000000005 6.146 6.147 6.148 6.149 6.15 6.151 6.152 6.1530000000000005 6.154 6.155 6.156 6.157 6.158 6.159 6.16 6.1610000000000005 6.162 6.163 6.164 6.165 6.166 6.167 6.168 6.1690000000000005 6.17 6.171 6.172 6.173 6.174 6.175 6.176 6.1770000000000005 6.178 6.179 6.18 6.181 6.182 6.183 6.184 6.1850000000000005 6.186 6.187 6.188 6.189 6.19 6.191 6.192 6.1930000000000005 6.194 6.195 6.196 6.197 6.198 6.199 6.2 6.2010000000000005 6.202 6.203 6.204 6.205 6.206 6.207 6.208 6.2090000000000005 6.21 6.211 6.212 6.213 6.214 6.215 6.216 6.2170000000000005 6.218 6.219 6.22 6.221 6.222 6.223 6.224 6.2250000000000005 6.226 6.227 6.228 6.229 6.23 6.231 6.232 6.2330000000000005 6.234 6.235 6.236 6.237 6.238 6.239 6.24 6.2410000000000005 6.242 6.243 6.244 6.245 6.246 6.247 6.248 6.2490000000000006 6.25 6.251 6.252 6.253 6.2540000000000004 6.255 6.256 6.257000000000001 6.258 6.259 6.26 6.261 6.2620000000000005 6.263 6.264 6.265000000000001 6.266 6.267 6.268 6.269 6.2700000000000005 6.271 6.272 6.273 6.274 6.275 6.276 6.277 6.2780000000000005 6.279 6.28 6.281 6.282 6.283 6.284 6.285 6.2860000000000005 6.287 6.288 6.289 6.29 6.291 6.292 6.293 6.2940000000000005 6.295 6.296 6.297 6.298 6.299 6.3 6.301 6.3020000000000005 6.303 6.304 6.305 6.306 6.307 6.308 6.309 6.3100000000000005 6.311 6.312 6.313 6.314 6.315 6.316 6.317 6.3180000000000005 6.319 6.32 6.321 6.322 6.323 6.324 6.325 6.3260000000000005 6.327 6.328 6.329 6.33 6.331 6.332 6.333 6.3340000000000005 6.335 6.336 6.337 6.338 6.339 6.34 6.341 6.3420000000000005 6.343 6.344 6.345 6.346 6.347 6.348 6.349 6.3500000000000005 6.351 6.352 6.353 6.354 6.355 6.356 6.357 6.3580000000000005 6.359 6.36 6.361 6.362 6.363 6.364 6.365 6.3660000000000005 6.367 6.368 6.369 6.37 6.371 6.372 6.373 6.3740000000000006 6.375 6.376 6.377 6.378 6.3790000000000004 6.38 6.381 6.382000000000001 6.383 6.384 6.385 6.386 6.3870000000000005 6.388 6.389 6.390000000000001 6.391 6.392 6.393 6.394 6.3950000000000005 6.396 6.397 6.398000000000001 6.399 6.4 6.401 6.402 6.4030000000000005 6.404 6.405 6.406 6.407 6.408 6.409 6.41 6.4110000000000005 6.412 6.413 6.414 6.415 6.416 6.417 6.418 6.4190000000000005 6.42 6.421 6.422 6.423 6.424 6.425 6.426 6.4270000000000005 6.428 6.429 6.43 6.431 6.432 6.433 6.434 6.4350000000000005 6.436 6.437 6.438 6.439 6.44 6.441 6.442 6.4430000000000005 6.444 6.445 6.446 6.447 6.448 6.449 6.45 6.4510000000000005 6.452 6.453 6.454 6.455 6.456 6.457 6.458 6.4590000000000005 6.46 6.461 6.462 6.463 6.464 6.465 6.466 6.4670000000000005 6.468 6.469 6.47 6.471 6.472 6.473 6.474 6.4750000000000005 6.476 6.477 6.478 6.479 6.48 6.481 6.482 6.4830000000000005 6.484 6.485 6.486 6.487 6.488 6.489 6.49 6.4910000000000005 6.492 6.493 6.494 6.495 6.496 6.497 6.498 6.4990000000000006 6.5 6.501 6.502 6.503 6.5040000000000004 6.505 6.506 6.507000000000001 6.508 6.509 6.51 6.511 6.5120000000000005 6.513 6.514 6.515000000000001 6.516 6.517 6.518 6.519 6.5200000000000005 6.521 6.522

more-to-come:

6.523000000000001 6.524 6.525 6.526 6.527 6.5280000000000005 6.529 6.53 6.531 6.532 6.533 6.534 6.535 6.5360000000000005 6.537 6.538 6.539 6.54 6.541 6.542 6.543 6.5440000000000005 6.545 6.546 6.547 6.548 6.549 6.55 6.551 6.5520000000000005 6.553 6.554 6.555 6.556 6.557 6.558 6.559 6.5600000000000005 6.561 6.562 6.563 6.564 6.565 6.566 6.567 6.5680000000000005 6.569 6.57 6.571 6.572 6.573 6.574 6.575 6.5760000000000005 6.577 6.578 6.579 6.58 6.581 6.582 6.583 6.5840000000000005 6.585 6.586 6.587 6.588 6.589 6.59 6.591 6.5920000000000005 6.593 6.594 6.595 6.596 6.597 6.598 6.599 6.6000000000000005 6.601 6.602 6.603 6.604 6.605 6.606 6.607 6.6080000000000005 6.609 6.61 6.611 6.612 6.613 6.614 6.615 6.6160000000000005 6.617 6.618 6.619 6.62 6.621 6.622 6.623 6.6240000000000006 6.625 6.626 6.627 6.628 6.6290000000000004 6.63 6.631 6.632000000000001 6.633 6.634 6.635 6.636 6.6370000000000005 6.638 6.639 6.640000000000001 6.641 6.642 6.643 6.644 6.6450000000000005 6.646 6.647 6.648000000000001 6.649 6.65 6.651 6.652 6.6530000000000005 6.654 6.655 6.656000000000001 6.657 6.658 6.659 6.66 6.6610000000000005 6.662 6.663 6.664 6.665 6.666 6.667 6.668 6.6690000000000005

</pre>

6.523000000000001 6.524 6.525 6.526 6.527 6.5280000000000005 6.529 6.53 6.531 6.532 6.533 6.534 6.535 6.5360000000000005 6.537 6.538 6.539 6.54 6.541 6.542 6.543 6.5440000000000005 6.545 6.546 6.547 6.548 6.549 6.55 6.551 6.5520000000000005 6.553 6.554 6.555 6.556 6.557 6.558 6.559 6.5600000000000005 6.561 6.562 6.563 6.564 6.565 6.566 6.567 6.5680000000000005 6.569 6.57 6.571 6.572 6.573 6.574 6.575 6.5760000000000005 6.577 6.578 6.579 6.58 6.581 6.582 6.583 6.5840000000000005 6.585 6.586 6.587 6.588 6.589 6.59 6.591 6.5920000000000005 6.593 6.594 6.595 6.596 6.597 6.598 6.599 6.6000000000000005 6.601 6.602 6.603 6.604 6.605 6.606 6.607 6.6080000000000005 6.609 6.61 6.611 6.612 6.613 6.614 6.615 6.6160000000000005 6.617 6.618 6.619 6.62 6.621 6.622 6.623 6.6240000000000006 6.625 6.626 6.627 6.628 6.6290000000000004 6.63 6.631 6.632000000000001 6.633 6.634 6.635 6.636 6.6370000000000005 6.638 6.639 6.640000000000001 6.641 6.642 6.643 6.644 6.6450000000000005 6.646 6.647 6.648000000000001 6.649 6.65 6.651 6.652 6.6530000000000005 6.654 6.655 6.656000000000001 6.657 6.658 6.659 6.66 6.6610000000000005 6.662 6.663 6.664 6.665 6.666 6.667 6.668 6.6690000000000005

end{sphinxVerbatim}

6.523000000000001 6.524 6.525 6.526 6.527 6.5280000000000005 6.529 6.53 6.531 6.532 6.533 6.534 6.535 6.5360000000000005 6.537 6.538 6.539 6.54 6.541 6.542 6.543 6.5440000000000005 6.545 6.546 6.547 6.548 6.549 6.55 6.551 6.5520000000000005 6.553 6.554 6.555 6.556 6.557 6.558 6.559 6.5600000000000005 6.561 6.562 6.563 6.564 6.565 6.566 6.567 6.5680000000000005 6.569 6.57 6.571 6.572 6.573 6.574 6.575 6.5760000000000005 6.577 6.578 6.579 6.58 6.581 6.582 6.583 6.5840000000000005 6.585 6.586 6.587 6.588 6.589 6.59 6.591 6.5920000000000005 6.593 6.594 6.595 6.596 6.597 6.598 6.599 6.6000000000000005 6.601 6.602 6.603 6.604 6.605 6.606 6.607 6.6080000000000005 6.609 6.61 6.611 6.612 6.613 6.614 6.615 6.6160000000000005 6.617 6.618 6.619 6.62 6.621 6.622 6.623 6.6240000000000006 6.625 6.626 6.627 6.628 6.6290000000000004 6.63 6.631 6.632000000000001 6.633 6.634 6.635 6.636 6.6370000000000005 6.638 6.639 6.640000000000001 6.641 6.642 6.643 6.644 6.6450000000000005 6.646 6.647 6.648000000000001 6.649 6.65 6.651 6.652 6.6530000000000005 6.654 6.655 6.656000000000001 6.657 6.658 6.659 6.66 6.6610000000000005 6.662 6.663 6.664 6.665 6.666 6.667 6.668 6.6690000000000005

more-to-come:

6.67 6.671 6.672 6.673 6.674 6.675 6.676 6.6770000000000005 6.678 6.679 6.68 6.681 6.682 6.683 6.684 6.6850000000000005 6.686 6.687 6.688 6.689 6.69 6.691 6.692 6.6930000000000005 6.694 6.695 6.696 6.697 6.698 6.699 6.7 6.7010000000000005 6.702 6.703 6.704 6.705 6.706 6.707 6.708 6.7090000000000005 6.71 6.711 6.712 6.713 6.714 6.715 6.716 6.7170000000000005 6.718 6.719 6.72 6.721 6.722 6.723 6.724 6.7250000000000005 6.726 6.727 6.728 6.729 6.73 6.731 6.732 6.7330000000000005 6.734 6.735 6.736 6.737 6.738 6.739 6.74 6.7410000000000005 6.742 6.743 6.744 6.745 6.746 6.747 6.748 6.7490000000000006 6.75 6.751 6.752 6.753 6.7540000000000004 6.755 6.756 6.757000000000001 6.758 6.759 6.76 6.761 6.7620000000000005 6.763 6.764 6.765000000000001 6.766 6.767 6.768 6.769 6.7700000000000005 6.771 6.772 6.773000000000001 6.774 6.775 6.776 6.777 6.7780000000000005 6.779 6.78 6.781000000000001 6.782 6.783 6.784 6.785 6.7860000000000005 6.787 6.788 6.789 6.79 6.791 6.792 6.793 6.7940000000000005 6.795 6.796 6.797 6.798 6.799 6.8 6.801 6.8020000000000005 6.803 6.804 6.805 6.806 6.807 6.808 6.809 6.8100000000000005 6.811 6.812 6.813 6.814 6.815 6.816 6.817 6.8180000000000005 6.819 6.82 6.821 6.822 6.823 6.824 6.825 6.8260000000000005 6.827 6.828 6.829 6.83 6.831 6.832 6.833 6.8340000000000005 6.835 6.836 6.837 6.838 6.839 6.84 6.841 6.8420000000000005 6.843 6.844 6.845 6.846 6.847 6.848 6.849 6.8500000000000005 6.851 6.852 6.853 6.854 6.855 6.856 6.857 6.8580000000000005 6.859 6.86 6.861 6.862 6.863 6.864 6.865 6.8660000000000005 6.867 6.868 6.869 6.87 6.871 6.872 6.873 6.8740000000000006 6.875 6.876 6.877 6.878 6.8790000000000004 6.88 6.881 6.882000000000001 6.883 6.884 6.885 6.886 6.8870000000000005 6.888 6.889 6.890000000000001 6.891 6.892 6.893 6.894 6.8950000000000005 6.896 6.897 6.898000000000001 6.899 6.9 6.901 6.902 6.9030000000000005 6.904 6.905 6.906000000000001 6.907 6.908 6.909 6.91 6.9110000000000005 6.912 6.913 6.914 6.915 6.916 6.917 6.918 6.9190000000000005 6.92 6.921 6.922 6.923 6.924 6.925 6.926 6.9270000000000005 6.928 6.929 6.93 6.931 6.932 6.933 6.934 6.9350000000000005 6.936 6.937 6.938 6.939 6.94 6.941 6.942 6.9430000000000005 6.944 6.945 6.946 6.947 6.948 6.949 6.95 6.9510000000000005 6.952 6.953 6.954 6.955 6.956 6.957 6.958 6.9590000000000005 6.96 6.961 6.962 6.963 6.964 6.965 6.966 6.9670000000000005 6.968 6.969 6.97 6.971 6.972 6.973 6.974 6.9750000000000005 6.976 6.977 6.978 6.979 6.98 6.981 6.982 6.9830000000000005 6.984 6.985 6.986 6.987 6.988 6.989 6.99 6.9910000000000005 6.992 6.993 6.994 6.995 6.996 6.997 6.998 6.9990000000000006 7.0 7.001 7.002 7.003 7.0040000000000004 7.005 7.006 7.007000000000001 7.008 7.009 7.01 7.011 7.0120000000000005 7.013 7.014 7.015000000000001 7.016 7.017 7.018 7.019 7.0200000000000005 7.021 7.022 7.023000000000001 7.024 7.025 7.026 7.027 7.0280000000000005 7.029 7.03 7.031000000000001 7.032 7.033 7.034 7.035 7.0360000000000005 7.037 7.038 7.039000000000001 7.04 7.041 7.042 7.043 7.0440000000000005 7.045 7.046 7.047 7.048 7.049 7.05 7.051 7.0520000000000005 7.053 7.054 7.055 7.056 7.057 7.058 7.059 7.0600000000000005 7.061 7.062 7.063 7.064 7.065

</pre>

6.67 6.671 6.672 6.673 6.674 6.675 6.676 6.6770000000000005 6.678 6.679 6.68 6.681 6.682 6.683 6.684 6.6850000000000005 6.686 6.687 6.688 6.689 6.69 6.691 6.692 6.6930000000000005 6.694 6.695 6.696 6.697 6.698 6.699 6.7 6.7010000000000005 6.702 6.703 6.704 6.705 6.706 6.707 6.708 6.7090000000000005 6.71 6.711 6.712 6.713 6.714 6.715 6.716 6.7170000000000005 6.718 6.719 6.72 6.721 6.722 6.723 6.724 6.7250000000000005 6.726 6.727 6.728 6.729 6.73 6.731 6.732 6.7330000000000005 6.734 6.735 6.736 6.737 6.738 6.739 6.74 6.7410000000000005 6.742 6.743 6.744 6.745 6.746 6.747 6.748 6.7490000000000006 6.75 6.751 6.752 6.753 6.7540000000000004 6.755 6.756 6.757000000000001 6.758 6.759 6.76 6.761 6.7620000000000005 6.763 6.764 6.765000000000001 6.766 6.767 6.768 6.769 6.7700000000000005 6.771 6.772 6.773000000000001 6.774 6.775 6.776 6.777 6.7780000000000005 6.779 6.78 6.781000000000001 6.782 6.783 6.784 6.785 6.7860000000000005 6.787 6.788 6.789 6.79 6.791 6.792 6.793 6.7940000000000005 6.795 6.796 6.797 6.798 6.799 6.8 6.801 6.8020000000000005 6.803 6.804 6.805 6.806 6.807 6.808 6.809 6.8100000000000005 6.811 6.812 6.813 6.814 6.815 6.816 6.817 6.8180000000000005 6.819 6.82 6.821 6.822 6.823 6.824 6.825 6.8260000000000005 6.827 6.828 6.829 6.83 6.831 6.832 6.833 6.8340000000000005 6.835 6.836 6.837 6.838 6.839 6.84 6.841 6.8420000000000005 6.843 6.844 6.845 6.846 6.847 6.848 6.849 6.8500000000000005 6.851 6.852 6.853 6.854 6.855 6.856 6.857 6.8580000000000005 6.859 6.86 6.861 6.862 6.863 6.864 6.865 6.8660000000000005 6.867 6.868 6.869 6.87 6.871 6.872 6.873 6.8740000000000006 6.875 6.876 6.877 6.878 6.8790000000000004 6.88 6.881 6.882000000000001 6.883 6.884 6.885 6.886 6.8870000000000005 6.888 6.889 6.890000000000001 6.891 6.892 6.893 6.894 6.8950000000000005 6.896 6.897 6.898000000000001 6.899 6.9 6.901 6.902 6.9030000000000005 6.904 6.905 6.906000000000001 6.907 6.908 6.909 6.91 6.9110000000000005 6.912 6.913 6.914 6.915 6.916 6.917 6.918 6.9190000000000005 6.92 6.921 6.922 6.923 6.924 6.925 6.926 6.9270000000000005 6.928 6.929 6.93 6.931 6.932 6.933 6.934 6.9350000000000005 6.936 6.937 6.938 6.939 6.94 6.941 6.942 6.9430000000000005 6.944 6.945 6.946 6.947 6.948 6.949 6.95 6.9510000000000005 6.952 6.953 6.954 6.955 6.956 6.957 6.958 6.9590000000000005 6.96 6.961 6.962 6.963 6.964 6.965 6.966 6.9670000000000005 6.968 6.969 6.97 6.971 6.972 6.973 6.974 6.9750000000000005 6.976 6.977 6.978 6.979 6.98 6.981 6.982 6.9830000000000005 6.984 6.985 6.986 6.987 6.988 6.989 6.99 6.9910000000000005 6.992 6.993 6.994 6.995 6.996 6.997 6.998 6.9990000000000006 7.0 7.001 7.002 7.003 7.0040000000000004 7.005 7.006 7.007000000000001 7.008 7.009 7.01 7.011 7.0120000000000005 7.013 7.014 7.015000000000001 7.016 7.017 7.018 7.019 7.0200000000000005 7.021 7.022 7.023000000000001 7.024 7.025 7.026 7.027 7.0280000000000005 7.029 7.03 7.031000000000001 7.032 7.033 7.034 7.035 7.0360000000000005 7.037 7.038 7.039000000000001 7.04 7.041 7.042 7.043 7.0440000000000005 7.045 7.046 7.047 7.048 7.049 7.05 7.051 7.0520000000000005 7.053 7.054 7.055 7.056 7.057 7.058 7.059 7.0600000000000005 7.061 7.062 7.063 7.064 7.065

end{sphinxVerbatim}

6.67 6.671 6.672 6.673 6.674 6.675 6.676 6.6770000000000005 6.678 6.679 6.68 6.681 6.682 6.683 6.684 6.6850000000000005 6.686 6.687 6.688 6.689 6.69 6.691 6.692 6.6930000000000005 6.694 6.695 6.696 6.697 6.698 6.699 6.7 6.7010000000000005 6.702 6.703 6.704 6.705 6.706 6.707 6.708 6.7090000000000005 6.71 6.711 6.712 6.713 6.714 6.715 6.716 6.7170000000000005 6.718 6.719 6.72 6.721 6.722 6.723 6.724 6.7250000000000005 6.726 6.727 6.728 6.729 6.73 6.731 6.732 6.7330000000000005 6.734 6.735 6.736 6.737 6.738 6.739 6.74 6.7410000000000005 6.742 6.743 6.744 6.745 6.746 6.747 6.748 6.7490000000000006 6.75 6.751 6.752 6.753 6.7540000000000004 6.755 6.756 6.757000000000001 6.758 6.759 6.76 6.761 6.7620000000000005 6.763 6.764 6.765000000000001 6.766 6.767 6.768 6.769 6.7700000000000005 6.771 6.772 6.773000000000001 6.774 6.775 6.776 6.777 6.7780000000000005 6.779 6.78 6.781000000000001 6.782 6.783 6.784 6.785 6.7860000000000005 6.787 6.788 6.789 6.79 6.791 6.792 6.793 6.7940000000000005 6.795 6.796 6.797 6.798 6.799 6.8 6.801 6.8020000000000005 6.803 6.804 6.805 6.806 6.807 6.808 6.809 6.8100000000000005 6.811 6.812 6.813 6.814 6.815 6.816 6.817 6.8180000000000005 6.819 6.82 6.821 6.822 6.823 6.824 6.825 6.8260000000000005 6.827 6.828 6.829 6.83 6.831 6.832 6.833 6.8340000000000005 6.835 6.836 6.837 6.838 6.839 6.84 6.841 6.8420000000000005 6.843 6.844 6.845 6.846 6.847 6.848 6.849 6.8500000000000005 6.851 6.852 6.853 6.854 6.855 6.856 6.857 6.8580000000000005 6.859 6.86 6.861 6.862 6.863 6.864 6.865 6.8660000000000005 6.867 6.868 6.869 6.87 6.871 6.872 6.873 6.8740000000000006 6.875 6.876 6.877 6.878 6.8790000000000004 6.88 6.881 6.882000000000001 6.883 6.884 6.885 6.886 6.8870000000000005 6.888 6.889 6.890000000000001 6.891 6.892 6.893 6.894 6.8950000000000005 6.896 6.897 6.898000000000001 6.899 6.9 6.901 6.902 6.9030000000000005 6.904 6.905 6.906000000000001 6.907 6.908 6.909 6.91 6.9110000000000005 6.912 6.913 6.914 6.915 6.916 6.917 6.918 6.9190000000000005 6.92 6.921 6.922 6.923 6.924 6.925 6.926 6.9270000000000005 6.928 6.929 6.93 6.931 6.932 6.933 6.934 6.9350000000000005 6.936 6.937 6.938 6.939 6.94 6.941 6.942 6.9430000000000005 6.944 6.945 6.946 6.947 6.948 6.949 6.95 6.9510000000000005 6.952 6.953 6.954 6.955 6.956 6.957 6.958 6.9590000000000005 6.96 6.961 6.962 6.963 6.964 6.965 6.966 6.9670000000000005 6.968 6.969 6.97 6.971 6.972 6.973 6.974 6.9750000000000005 6.976 6.977 6.978 6.979 6.98 6.981 6.982 6.9830000000000005 6.984 6.985 6.986 6.987 6.988 6.989 6.99 6.9910000000000005 6.992 6.993 6.994 6.995 6.996 6.997 6.998 6.9990000000000006 7.0 7.001 7.002 7.003 7.0040000000000004 7.005 7.006 7.007000000000001 7.008 7.009 7.01 7.011 7.0120000000000005 7.013 7.014 7.015000000000001 7.016 7.017 7.018 7.019 7.0200000000000005 7.021 7.022 7.023000000000001 7.024 7.025 7.026 7.027 7.0280000000000005 7.029 7.03 7.031000000000001 7.032 7.033 7.034 7.035 7.0360000000000005 7.037 7.038 7.039000000000001 7.04 7.041 7.042 7.043 7.0440000000000005 7.045 7.046 7.047 7.048 7.049 7.05 7.051 7.0520000000000005 7.053 7.054 7.055 7.056 7.057 7.058 7.059 7.0600000000000005 7.061 7.062 7.063 7.064 7.065

more-to-come:

7.066 7.067 7.0680000000000005 7.069 7.07 7.071 7.072 7.073 7.074 7.075 7.0760000000000005 7.077 7.078 7.079 7.08 7.081 7.082 7.083 7.0840000000000005 7.085 7.086 7.087 7.088 7.089 7.09 7.091 7.0920000000000005 7.093 7.094 7.095 7.096 7.097 7.098 7.099 7.1000000000000005 7.101 7.102 7.103 7.104 7.105 7.106 7.107 7.1080000000000005 7.109 7.11 7.111 7.112 7.113 7.114 7.115 7.1160000000000005 7.117 7.118 7.119 7.12 7.121 7.122 7.123 7.1240000000000006 7.125 7.126 7.127 7.128 7.1290000000000004 7.13 7.131 7.132000000000001 7.133 7.134 7.135 7.136 7.1370000000000005 7.138 7.139 7.140000000000001 7.141 7.142 7.143 7.144 7.1450000000000005 7.146 7.147 7.148000000000001 7.149 7.15 7.151 7.152 7.1530000000000005 7.154 7.155 7.156000000000001 7.157 7.158 7.159 7.16 7.1610000000000005 7.162 7.163 7.164000000000001 7.165 7.166 7.167 7.168 7.1690000000000005 7.17 7.171 7.172 7.173 7.174 7.175 7.176 7.1770000000000005 7.178 7.179 7.18 7.181 7.182 7.183 7.184 7.1850000000000005 7.186 7.187 7.188 7.189 7.19 7.191 7.192 7.1930000000000005 7.194 7.195 7.196 7.197 7.198 7.199 7.2 7.2010000000000005 7.202 7.203 7.204 7.205 7.206 7.207 7.208 7.2090000000000005 7.21 7.211 7.212 7.213

</pre>

7.066 7.067 7.0680000000000005 7.069 7.07 7.071 7.072 7.073 7.074 7.075 7.0760000000000005 7.077 7.078 7.079 7.08 7.081 7.082 7.083 7.0840000000000005 7.085 7.086 7.087 7.088 7.089 7.09 7.091 7.0920000000000005 7.093 7.094 7.095 7.096 7.097 7.098 7.099 7.1000000000000005 7.101 7.102 7.103 7.104 7.105 7.106 7.107 7.1080000000000005 7.109 7.11 7.111 7.112 7.113 7.114 7.115 7.1160000000000005 7.117 7.118 7.119 7.12 7.121 7.122 7.123 7.1240000000000006 7.125 7.126 7.127 7.128 7.1290000000000004 7.13 7.131 7.132000000000001 7.133 7.134 7.135 7.136 7.1370000000000005 7.138 7.139 7.140000000000001 7.141 7.142 7.143 7.144 7.1450000000000005 7.146 7.147 7.148000000000001 7.149 7.15 7.151 7.152 7.1530000000000005 7.154 7.155 7.156000000000001 7.157 7.158 7.159 7.16 7.1610000000000005 7.162 7.163 7.164000000000001 7.165 7.166 7.167 7.168 7.1690000000000005 7.17 7.171 7.172 7.173 7.174 7.175 7.176 7.1770000000000005 7.178 7.179 7.18 7.181 7.182 7.183 7.184 7.1850000000000005 7.186 7.187 7.188 7.189 7.19 7.191 7.192 7.1930000000000005 7.194 7.195 7.196 7.197 7.198 7.199 7.2 7.2010000000000005 7.202 7.203 7.204 7.205 7.206 7.207 7.208 7.2090000000000005 7.21 7.211 7.212 7.213

end{sphinxVerbatim}

7.066 7.067 7.0680000000000005 7.069 7.07 7.071 7.072 7.073 7.074 7.075 7.0760000000000005 7.077 7.078 7.079 7.08 7.081 7.082 7.083 7.0840000000000005 7.085 7.086 7.087 7.088 7.089 7.09 7.091 7.0920000000000005 7.093 7.094 7.095 7.096 7.097 7.098 7.099 7.1000000000000005 7.101 7.102 7.103 7.104 7.105 7.106 7.107 7.1080000000000005 7.109 7.11 7.111 7.112 7.113 7.114 7.115 7.1160000000000005 7.117 7.118 7.119 7.12 7.121 7.122 7.123 7.1240000000000006 7.125 7.126 7.127 7.128 7.1290000000000004 7.13 7.131 7.132000000000001 7.133 7.134 7.135 7.136 7.1370000000000005 7.138 7.139 7.140000000000001 7.141 7.142 7.143 7.144 7.1450000000000005 7.146 7.147 7.148000000000001 7.149 7.15 7.151 7.152 7.1530000000000005 7.154 7.155 7.156000000000001 7.157 7.158 7.159 7.16 7.1610000000000005 7.162 7.163 7.164000000000001 7.165 7.166 7.167 7.168 7.1690000000000005 7.17 7.171 7.172 7.173 7.174 7.175 7.176 7.1770000000000005 7.178 7.179 7.18 7.181 7.182 7.183 7.184 7.1850000000000005 7.186 7.187 7.188 7.189 7.19 7.191 7.192 7.1930000000000005 7.194 7.195 7.196 7.197 7.198 7.199 7.2 7.2010000000000005 7.202 7.203 7.204 7.205 7.206 7.207 7.208 7.2090000000000005 7.21 7.211 7.212 7.213

more-to-come:

7.214 7.215 7.216 7.2170000000000005 7.218 7.219 7.22 7.221 7.222 7.223 7.224 7.2250000000000005 7.226 7.227 7.228 7.229 7.23 7.231 7.232 7.2330000000000005 7.234 7.235 7.236 7.237 7.238 7.239 7.24 7.2410000000000005 7.242 7.243 7.244 7.245 7.246 7.247 7.248 7.2490000000000006 7.25 7.251 7.252 7.253 7.2540000000000004 7.255 7.256 7.257000000000001 7.258 7.259 7.26 7.261 7.2620000000000005 7.263 7.264 7.265000000000001 7.266 7.267 7.268 7.269 7.2700000000000005 7.271 7.272 7.273000000000001 7.274 7.275 7.276 7.277 7.2780000000000005 7.279 7.28 7.281000000000001 7.282 7.283 7.284 7.285 7.2860000000000005 7.287 7.288 7.289000000000001 7.29 7.291 7.292 7.293 7.2940000000000005 7.295 7.296 7.297 7.298 7.299 7.3 7.301 7.3020000000000005 7.303 7.304 7.305 7.306 7.307 7.308 7.309 7.3100000000000005 7.311 7.312 7.313 7.314 7.315 7.316 7.317 7.3180000000000005 7.319 7.32 7.321 7.322 7.323 7.324 7.325 7.3260000000000005 7.327 7.328 7.329 7.33 7.331 7.332 7.333 7.3340000000000005 7.335 7.336 7.337 7.338 7.339 7.34 7.341 7.3420000000000005 7.343 7.344 7.345 7.346 7.347 7.348 7.349 7.3500000000000005 7.351 7.352 7.353 7.354 7.355 7.356 7.357 7.3580000000000005 7.359 7.36 7.361 7.362 7.363 7.364 7.365 7.3660000000000005 7.367 7.368 7.369 7.37 7.371 7.372 7.373 7.3740000000000006 7.375 7.376 7.377 7.378 7.3790000000000004 7.38 7.381 7.382000000000001 7.383 7.384 7.385 7.386 7.3870000000000005 7.388 7.389 7.390000000000001 7.391 7.392 7.393 7.394 7.3950000000000005 7.396 7.397 7.398000000000001 7.399 7.4 7.401 7.402 7.4030000000000005 7.404 7.405 7.406000000000001 7.407 7.408 7.409 7.41 7.4110000000000005 7.412 7.413 7.414000000000001 7.415 7.416 7.417 7.418 7.4190000000000005 7.42 7.421 7.422000000000001 7.423 7.424 7.425 7.426 7.4270000000000005 7.428 7.429 7.43 7.431 7.432 7.433 7.434 7.4350000000000005 7.436 7.437 7.438 7.439 7.44 7.441 7.442 7.4430000000000005 7.444 7.445 7.446 7.447 7.448 7.449 7.45 7.4510000000000005 7.452 7.453 7.454 7.455 7.456 7.457 7.458 7.4590000000000005 7.46 7.461 7.462 7.463 7.464 7.465 7.466 7.4670000000000005 7.468 7.469 7.47 7.471 7.472 7.473 7.474 7.4750000000000005 7.476 7.477 7.478 7.479 7.48 7.481 7.482 7.4830000000000005 7.484 7.485 7.486 7.487 7.488 7.489 7.49 7.4910000000000005 7.492 7.493 7.494 7.495 7.496 7.497 7.498 7.4990000000000006 7.5 7.501 7.502 7.503 7.5040000000000004 7.505 7.506 7.507000000000001 7.508 7.509 7.51 7.511 7.5120000000000005 7.513 7.514 7.515000000000001 7.516 7.517 7.518 7.519 7.5200000000000005 7.521 7.522 7.523000000000001 7.524 7.525 7.526 7.527 7.5280000000000005 7.529 7.53 7.531000000000001 7.532 7.533 7.534 7.535 7.5360000000000005 7.537 7.538 7.539000000000001 7.54 7.541 7.542 7.543 7.5440000000000005 7.545 7.546 7.547000000000001 7.548 7.549 7.55 7.551 7.5520000000000005 7.553 7.554 7.555 7.556 7.557 7.558 7.559 7.5600000000000005 7.561 7.562 7.563 7.564 7.565 7.566 7.567 7.5680000000000005 7.569 7.57 7.571 7.572 7.573 7.574 7.575 7.5760000000000005 7.577 7.578 7.579 7.58 7.581 7.582 7.583 7.5840000000000005 7.585 7.586 7.587 7.588 7.589 7.59 7.591 7.5920000000000005 7.593 7.594 7.595 7.596 7.597 7.598 7.599 7.6000000000000005 7.601 7.602 7.603 7.604 7.605 7.606 7.607 7.6080000000000005

</pre>

7.214 7.215 7.216 7.2170000000000005 7.218 7.219 7.22 7.221 7.222 7.223 7.224 7.2250000000000005 7.226 7.227 7.228 7.229 7.23 7.231 7.232 7.2330000000000005 7.234 7.235 7.236 7.237 7.238 7.239 7.24 7.2410000000000005 7.242 7.243 7.244 7.245 7.246 7.247 7.248 7.2490000000000006 7.25 7.251 7.252 7.253 7.2540000000000004 7.255 7.256 7.257000000000001 7.258 7.259 7.26 7.261 7.2620000000000005 7.263 7.264 7.265000000000001 7.266 7.267 7.268 7.269 7.2700000000000005 7.271 7.272 7.273000000000001 7.274 7.275 7.276 7.277 7.2780000000000005 7.279 7.28 7.281000000000001 7.282 7.283 7.284 7.285 7.2860000000000005 7.287 7.288 7.289000000000001 7.29 7.291 7.292 7.293 7.2940000000000005 7.295 7.296 7.297 7.298 7.299 7.3 7.301 7.3020000000000005 7.303 7.304 7.305 7.306 7.307 7.308 7.309 7.3100000000000005 7.311 7.312 7.313 7.314 7.315 7.316 7.317 7.3180000000000005 7.319 7.32 7.321 7.322 7.323 7.324 7.325 7.3260000000000005 7.327 7.328 7.329 7.33 7.331 7.332 7.333 7.3340000000000005 7.335 7.336 7.337 7.338 7.339 7.34 7.341 7.3420000000000005 7.343 7.344 7.345 7.346 7.347 7.348 7.349 7.3500000000000005 7.351 7.352 7.353 7.354 7.355 7.356 7.357 7.3580000000000005 7.359 7.36 7.361 7.362 7.363 7.364 7.365 7.3660000000000005 7.367 7.368 7.369 7.37 7.371 7.372 7.373 7.3740000000000006 7.375 7.376 7.377 7.378 7.3790000000000004 7.38 7.381 7.382000000000001 7.383 7.384 7.385 7.386 7.3870000000000005 7.388 7.389 7.390000000000001 7.391 7.392 7.393 7.394 7.3950000000000005 7.396 7.397 7.398000000000001 7.399 7.4 7.401 7.402 7.4030000000000005 7.404 7.405 7.406000000000001 7.407 7.408 7.409 7.41 7.4110000000000005 7.412 7.413 7.414000000000001 7.415 7.416 7.417 7.418 7.4190000000000005 7.42 7.421 7.422000000000001 7.423 7.424 7.425 7.426 7.4270000000000005 7.428 7.429 7.43 7.431 7.432 7.433 7.434 7.4350000000000005 7.436 7.437 7.438 7.439 7.44 7.441 7.442 7.4430000000000005 7.444 7.445 7.446 7.447 7.448 7.449 7.45 7.4510000000000005 7.452 7.453 7.454 7.455 7.456 7.457 7.458 7.4590000000000005 7.46 7.461 7.462 7.463 7.464 7.465 7.466 7.4670000000000005 7.468 7.469 7.47 7.471 7.472 7.473 7.474 7.4750000000000005 7.476 7.477 7.478 7.479 7.48 7.481 7.482 7.4830000000000005 7.484 7.485 7.486 7.487 7.488 7.489 7.49 7.4910000000000005 7.492 7.493 7.494 7.495 7.496 7.497 7.498 7.4990000000000006 7.5 7.501 7.502 7.503 7.5040000000000004 7.505 7.506 7.507000000000001 7.508 7.509 7.51 7.511 7.5120000000000005 7.513 7.514 7.515000000000001 7.516 7.517 7.518 7.519 7.5200000000000005 7.521 7.522 7.523000000000001 7.524 7.525 7.526 7.527 7.5280000000000005 7.529 7.53 7.531000000000001 7.532 7.533 7.534 7.535 7.5360000000000005 7.537 7.538 7.539000000000001 7.54 7.541 7.542 7.543 7.5440000000000005 7.545 7.546 7.547000000000001 7.548 7.549 7.55 7.551 7.5520000000000005 7.553 7.554 7.555 7.556 7.557 7.558 7.559 7.5600000000000005 7.561 7.562 7.563 7.564 7.565 7.566 7.567 7.5680000000000005 7.569 7.57 7.571 7.572 7.573 7.574 7.575 7.5760000000000005 7.577 7.578 7.579 7.58 7.581 7.582 7.583 7.5840000000000005 7.585 7.586 7.587 7.588 7.589 7.59 7.591 7.5920000000000005 7.593 7.594 7.595 7.596 7.597 7.598 7.599 7.6000000000000005 7.601 7.602 7.603 7.604 7.605 7.606 7.607 7.6080000000000005

end{sphinxVerbatim}

7.214 7.215 7.216 7.2170000000000005 7.218 7.219 7.22 7.221 7.222 7.223 7.224 7.2250000000000005 7.226 7.227 7.228 7.229 7.23 7.231 7.232 7.2330000000000005 7.234 7.235 7.236 7.237 7.238 7.239 7.24 7.2410000000000005 7.242 7.243 7.244 7.245 7.246 7.247 7.248 7.2490000000000006 7.25 7.251 7.252 7.253 7.2540000000000004 7.255 7.256 7.257000000000001 7.258 7.259 7.26 7.261 7.2620000000000005 7.263 7.264 7.265000000000001 7.266 7.267 7.268 7.269 7.2700000000000005 7.271 7.272 7.273000000000001 7.274 7.275 7.276 7.277 7.2780000000000005 7.279 7.28 7.281000000000001 7.282 7.283 7.284 7.285 7.2860000000000005 7.287 7.288 7.289000000000001 7.29 7.291 7.292 7.293 7.2940000000000005 7.295 7.296 7.297 7.298 7.299 7.3 7.301 7.3020000000000005 7.303 7.304 7.305 7.306 7.307 7.308 7.309 7.3100000000000005 7.311 7.312 7.313 7.314 7.315 7.316 7.317 7.3180000000000005 7.319 7.32 7.321 7.322 7.323 7.324 7.325 7.3260000000000005 7.327 7.328 7.329 7.33 7.331 7.332 7.333 7.3340000000000005 7.335 7.336 7.337 7.338 7.339 7.34 7.341 7.3420000000000005 7.343 7.344 7.345 7.346 7.347 7.348 7.349 7.3500000000000005 7.351 7.352 7.353 7.354 7.355 7.356 7.357 7.3580000000000005 7.359 7.36 7.361 7.362 7.363 7.364 7.365 7.3660000000000005 7.367 7.368 7.369 7.37 7.371 7.372 7.373 7.3740000000000006 7.375 7.376 7.377 7.378 7.3790000000000004 7.38 7.381 7.382000000000001 7.383 7.384 7.385 7.386 7.3870000000000005 7.388 7.389 7.390000000000001 7.391 7.392 7.393 7.394 7.3950000000000005 7.396 7.397 7.398000000000001 7.399 7.4 7.401 7.402 7.4030000000000005 7.404 7.405 7.406000000000001 7.407 7.408 7.409 7.41 7.4110000000000005 7.412 7.413 7.414000000000001 7.415 7.416 7.417 7.418 7.4190000000000005 7.42 7.421 7.422000000000001 7.423 7.424 7.425 7.426 7.4270000000000005 7.428 7.429 7.43 7.431 7.432 7.433 7.434 7.4350000000000005 7.436 7.437 7.438 7.439 7.44 7.441 7.442 7.4430000000000005 7.444 7.445 7.446 7.447 7.448 7.449 7.45 7.4510000000000005 7.452 7.453 7.454 7.455 7.456 7.457 7.458 7.4590000000000005 7.46 7.461 7.462 7.463 7.464 7.465 7.466 7.4670000000000005 7.468 7.469 7.47 7.471 7.472 7.473 7.474 7.4750000000000005 7.476 7.477 7.478 7.479 7.48 7.481 7.482 7.4830000000000005 7.484 7.485 7.486 7.487 7.488 7.489 7.49 7.4910000000000005 7.492 7.493 7.494 7.495 7.496 7.497 7.498 7.4990000000000006 7.5 7.501 7.502 7.503 7.5040000000000004 7.505 7.506 7.507000000000001 7.508 7.509 7.51 7.511 7.5120000000000005 7.513 7.514 7.515000000000001 7.516 7.517 7.518 7.519 7.5200000000000005 7.521 7.522 7.523000000000001 7.524 7.525 7.526 7.527 7.5280000000000005 7.529 7.53 7.531000000000001 7.532 7.533 7.534 7.535 7.5360000000000005 7.537 7.538 7.539000000000001 7.54 7.541 7.542 7.543 7.5440000000000005 7.545 7.546 7.547000000000001 7.548 7.549 7.55 7.551 7.5520000000000005 7.553 7.554 7.555 7.556 7.557 7.558 7.559 7.5600000000000005 7.561 7.562 7.563 7.564 7.565 7.566 7.567 7.5680000000000005 7.569 7.57 7.571 7.572 7.573 7.574 7.575 7.5760000000000005 7.577 7.578 7.579 7.58 7.581 7.582 7.583 7.5840000000000005 7.585 7.586 7.587 7.588 7.589 7.59 7.591 7.5920000000000005 7.593 7.594 7.595 7.596 7.597 7.598 7.599 7.6000000000000005 7.601 7.602 7.603 7.604 7.605 7.606 7.607 7.6080000000000005

more-to-come:

7.609 7.61 7.611 7.612 7.613 7.614 7.615 7.6160000000000005 7.617 7.618 7.619 7.62 7.621 7.622 7.623 7.6240000000000006 7.625 7.626 7.627 7.628 7.6290000000000004 7.63 7.631 7.632000000000001 7.633 7.634 7.635 7.636 7.6370000000000005 7.638 7.639 7.640000000000001 7.641 7.642 7.643 7.644 7.6450000000000005 7.646 7.647 7.648000000000001 7.649 7.65 7.651 7.652 7.6530000000000005 7.654 7.655 7.656000000000001 7.657 7.658 7.659 7.66 7.6610000000000005 7.662 7.663 7.664000000000001 7.665 7.666 7.667 7.668 7.6690000000000005 7.67 7.671 7.672000000000001 7.673 7.674 7.675 7.676 7.6770000000000005 7.678 7.679 7.68 7.681 7.682 7.683 7.684 7.6850000000000005 7.686 7.687 7.688 7.689 7.69 7.691 7.692 7.6930000000000005 7.694 7.695 7.696 7.697 7.698 7.699 7.7 7.7010000000000005 7.702 7.703 7.704 7.705 7.706 7.707 7.708 7.7090000000000005 7.71 7.711 7.712 7.713 7.714 7.715 7.716 7.7170000000000005 7.718 7.719 7.72 7.721 7.722 7.723 7.724 7.7250000000000005 7.726 7.727 7.728 7.729 7.73 7.731 7.732 7.7330000000000005 7.734 7.735 7.736 7.737 7.738 7.739 7.74 7.7410000000000005 7.742 7.743 7.744 7.745 7.746 7.747 7.748 7.7490000000000006 7.75 7.751 7.752 7.753 7.7540000000000004 7.755

</pre>

7.609 7.61 7.611 7.612 7.613 7.614 7.615 7.6160000000000005 7.617 7.618 7.619 7.62 7.621 7.622 7.623 7.6240000000000006 7.625 7.626 7.627 7.628 7.6290000000000004 7.63 7.631 7.632000000000001 7.633 7.634 7.635 7.636 7.6370000000000005 7.638 7.639 7.640000000000001 7.641 7.642 7.643 7.644 7.6450000000000005 7.646 7.647 7.648000000000001 7.649 7.65 7.651 7.652 7.6530000000000005 7.654 7.655 7.656000000000001 7.657 7.658 7.659 7.66 7.6610000000000005 7.662 7.663 7.664000000000001 7.665 7.666 7.667 7.668 7.6690000000000005 7.67 7.671 7.672000000000001 7.673 7.674 7.675 7.676 7.6770000000000005 7.678 7.679 7.68 7.681 7.682 7.683 7.684 7.6850000000000005 7.686 7.687 7.688 7.689 7.69 7.691 7.692 7.6930000000000005 7.694 7.695 7.696 7.697 7.698 7.699 7.7 7.7010000000000005 7.702 7.703 7.704 7.705 7.706 7.707 7.708 7.7090000000000005 7.71 7.711 7.712 7.713 7.714 7.715 7.716 7.7170000000000005 7.718 7.719 7.72 7.721 7.722 7.723 7.724 7.7250000000000005 7.726 7.727 7.728 7.729 7.73 7.731 7.732 7.7330000000000005 7.734 7.735 7.736 7.737 7.738 7.739 7.74 7.7410000000000005 7.742 7.743 7.744 7.745 7.746 7.747 7.748 7.7490000000000006 7.75 7.751 7.752 7.753 7.7540000000000004 7.755

end{sphinxVerbatim}

7.609 7.61 7.611 7.612 7.613 7.614 7.615 7.6160000000000005 7.617 7.618 7.619 7.62 7.621 7.622 7.623 7.6240000000000006 7.625 7.626 7.627 7.628 7.6290000000000004 7.63 7.631 7.632000000000001 7.633 7.634 7.635 7.636 7.6370000000000005 7.638 7.639 7.640000000000001 7.641 7.642 7.643 7.644 7.6450000000000005 7.646 7.647 7.648000000000001 7.649 7.65 7.651 7.652 7.6530000000000005 7.654 7.655 7.656000000000001 7.657 7.658 7.659 7.66 7.6610000000000005 7.662 7.663 7.664000000000001 7.665 7.666 7.667 7.668 7.6690000000000005 7.67 7.671 7.672000000000001 7.673 7.674 7.675 7.676 7.6770000000000005 7.678 7.679 7.68 7.681 7.682 7.683 7.684 7.6850000000000005 7.686 7.687 7.688 7.689 7.69 7.691 7.692 7.6930000000000005 7.694 7.695 7.696 7.697 7.698 7.699 7.7 7.7010000000000005 7.702 7.703 7.704 7.705 7.706 7.707 7.708 7.7090000000000005 7.71 7.711 7.712 7.713 7.714 7.715 7.716 7.7170000000000005 7.718 7.719 7.72 7.721 7.722 7.723 7.724 7.7250000000000005 7.726 7.727 7.728 7.729 7.73 7.731 7.732 7.7330000000000005 7.734 7.735 7.736 7.737 7.738 7.739 7.74 7.7410000000000005 7.742 7.743 7.744 7.745 7.746 7.747 7.748 7.7490000000000006 7.75 7.751 7.752 7.753 7.7540000000000004 7.755

more-to-come:

7.756 7.757000000000001 7.758 7.759 7.76 7.761 7.7620000000000005 7.763 7.764 7.765000000000001 7.766 7.767 7.768 7.769 7.7700000000000005 7.771 7.772 7.773000000000001 7.774 7.775 7.776 7.777 7.7780000000000005 7.779 7.78 7.781000000000001 7.782 7.783 7.784 7.785 7.7860000000000005 7.787 7.788 7.789000000000001 7.79 7.791 7.792 7.793 7.7940000000000005 7.795 7.796 7.797000000000001 7.798 7.799 7.8 7.801 7.8020000000000005 7.803 7.804 7.805000000000001 7.806 7.807 7.808 7.809 7.8100000000000005 7.811 7.812 7.813 7.814 7.815 7.816 7.817 7.8180000000000005 7.819 7.82 7.821 7.822 7.823 7.824 7.825 7.8260000000000005 7.827 7.828 7.829 7.83 7.831 7.832 7.833 7.8340000000000005 7.835 7.836 7.837 7.838 7.839 7.84 7.841 7.8420000000000005 7.843 7.844 7.845 7.846 7.847 7.848 7.849 7.8500000000000005 7.851 7.852 7.853 7.854 7.855 7.856 7.857 7.8580000000000005 7.859 7.86 7.861 7.862 7.863 7.864 7.865 7.8660000000000005 7.867 7.868 7.869 7.87 7.871 7.872 7.873 7.8740000000000006 7.875 7.876 7.877 7.878 7.8790000000000004 7.88 7.881 7.882000000000001 7.883 7.884 7.885 7.886 7.8870000000000005 7.888 7.889 7.890000000000001 7.891 7.892 7.893 7.894 7.8950000000000005 7.896 7.897 7.898000000000001 7.899 7.9 7.901 7.902 7.9030000000000005 7.904 7.905 7.906000000000001 7.907 7.908 7.909 7.91 7.9110000000000005 7.912 7.913 7.914000000000001 7.915 7.916 7.917 7.918 7.9190000000000005 7.92 7.921 7.922000000000001 7.923 7.924 7.925 7.926 7.9270000000000005 7.928 7.929 7.930000000000001 7.931 7.932 7.933 7.934 7.9350000000000005 7.936 7.937 7.938 7.939 7.94 7.941 7.942 7.9430000000000005 7.944 7.945 7.946 7.947 7.948 7.949 7.95 7.9510000000000005 7.952 7.953 7.954 7.955 7.956 7.957 7.958 7.9590000000000005 7.96 7.961 7.962 7.963 7.964 7.965 7.966 7.9670000000000005 7.968 7.969 7.97 7.971 7.972 7.973 7.974 7.9750000000000005 7.976 7.977 7.978 7.979 7.98 7.981 7.982 7.9830000000000005 7.984 7.985 7.986 7.987 7.988 7.989 7.99 7.9910000000000005 7.992 7.993 7.994 7.995 7.996 7.997 7.998 7.9990000000000006 8.0 8.001 8.002 8.003 8.004 8.005 8.006 8.007 8.008000000000001 8.009 8.01 8.011000000000001 8.012 8.013 8.014 8.015 8.016 8.017 8.018 8.019 8.02 8.021 8.022 8.023 8.024000000000001 8.025 8.026 8.027000000000001 8.028 8.029 8.03 8.031 8.032 8.033 8.034 8.035 8.036 8.037 8.038 8.039 8.040000000000001 8.041 8.042 8.043000000000001 8.044 8.045 8.046 8.047 8.048 8.049 8.05 8.051 8.052 8.053 8.054 8.055 8.056000000000001 8.057 8.058 8.059000000000001 8.06 8.061 8.062 8.063 8.064 8.065 8.066 8.067 8.068 8.069 8.07 8.071 8.072000000000001 8.073 8.074 8.075 8.076 8.077 8.078 8.079 8.08 8.081 8.082 8.083 8.084 8.085 8.086 8.087 8.088000000000001 8.089 8.09 8.091 8.092 8.093 8.094 8.095 8.096 8.097 8.098 8.099 8.1 8.101 8.102 8.103 8.104000000000001 8.105 8.106 8.107 8.108 8.109 8.11 8.111 8.112 8.113 8.114 8.115 8.116 8.117 8.118 8.119 8.120000000000001 8.121 8.122 8.123 8.124 8.125 8.126 8.127 8.128 8.129 8.13 8.131 8.132 8.133000000000001 8.134 8.135 8.136000000000001 8.137 8.138 8.139 8.14 8.141 8.142 8.143 8.144 8.145 8.146 8.147 8.148 8.149000000000001 8.15

</pre>

7.756 7.757000000000001 7.758 7.759 7.76 7.761 7.7620000000000005 7.763 7.764 7.765000000000001 7.766 7.767 7.768 7.769 7.7700000000000005 7.771 7.772 7.773000000000001 7.774 7.775 7.776 7.777 7.7780000000000005 7.779 7.78 7.781000000000001 7.782 7.783 7.784 7.785 7.7860000000000005 7.787 7.788 7.789000000000001 7.79 7.791 7.792 7.793 7.7940000000000005 7.795 7.796 7.797000000000001 7.798 7.799 7.8 7.801 7.8020000000000005 7.803 7.804 7.805000000000001 7.806 7.807 7.808 7.809 7.8100000000000005 7.811 7.812 7.813 7.814 7.815 7.816 7.817 7.8180000000000005 7.819 7.82 7.821 7.822 7.823 7.824 7.825 7.8260000000000005 7.827 7.828 7.829 7.83 7.831 7.832 7.833 7.8340000000000005 7.835 7.836 7.837 7.838 7.839 7.84 7.841 7.8420000000000005 7.843 7.844 7.845 7.846 7.847 7.848 7.849 7.8500000000000005 7.851 7.852 7.853 7.854 7.855 7.856 7.857 7.8580000000000005 7.859 7.86 7.861 7.862 7.863 7.864 7.865 7.8660000000000005 7.867 7.868 7.869 7.87 7.871 7.872 7.873 7.8740000000000006 7.875 7.876 7.877 7.878 7.8790000000000004 7.88 7.881 7.882000000000001 7.883 7.884 7.885 7.886 7.8870000000000005 7.888 7.889 7.890000000000001 7.891 7.892 7.893 7.894 7.8950000000000005 7.896 7.897 7.898000000000001 7.899 7.9 7.901 7.902 7.9030000000000005 7.904 7.905 7.906000000000001 7.907 7.908 7.909 7.91 7.9110000000000005 7.912 7.913 7.914000000000001 7.915 7.916 7.917 7.918 7.9190000000000005 7.92 7.921 7.922000000000001 7.923 7.924 7.925 7.926 7.9270000000000005 7.928 7.929 7.930000000000001 7.931 7.932 7.933 7.934 7.9350000000000005 7.936 7.937 7.938 7.939 7.94 7.941 7.942 7.9430000000000005 7.944 7.945 7.946 7.947 7.948 7.949 7.95 7.9510000000000005 7.952 7.953 7.954 7.955 7.956 7.957 7.958 7.9590000000000005 7.96 7.961 7.962 7.963 7.964 7.965 7.966 7.9670000000000005 7.968 7.969 7.97 7.971 7.972 7.973 7.974 7.9750000000000005 7.976 7.977 7.978 7.979 7.98 7.981 7.982 7.9830000000000005 7.984 7.985 7.986 7.987 7.988 7.989 7.99 7.9910000000000005 7.992 7.993 7.994 7.995 7.996 7.997 7.998 7.9990000000000006 8.0 8.001 8.002 8.003 8.004 8.005 8.006 8.007 8.008000000000001 8.009 8.01 8.011000000000001 8.012 8.013 8.014 8.015 8.016 8.017 8.018 8.019 8.02 8.021 8.022 8.023 8.024000000000001 8.025 8.026 8.027000000000001 8.028 8.029 8.03 8.031 8.032 8.033 8.034 8.035 8.036 8.037 8.038 8.039 8.040000000000001 8.041 8.042 8.043000000000001 8.044 8.045 8.046 8.047 8.048 8.049 8.05 8.051 8.052 8.053 8.054 8.055 8.056000000000001 8.057 8.058 8.059000000000001 8.06 8.061 8.062 8.063 8.064 8.065 8.066 8.067 8.068 8.069 8.07 8.071 8.072000000000001 8.073 8.074 8.075 8.076 8.077 8.078 8.079 8.08 8.081 8.082 8.083 8.084 8.085 8.086 8.087 8.088000000000001 8.089 8.09 8.091 8.092 8.093 8.094 8.095 8.096 8.097 8.098 8.099 8.1 8.101 8.102 8.103 8.104000000000001 8.105 8.106 8.107 8.108 8.109 8.11 8.111 8.112 8.113 8.114 8.115 8.116 8.117 8.118 8.119 8.120000000000001 8.121 8.122 8.123 8.124 8.125 8.126 8.127 8.128 8.129 8.13 8.131 8.132 8.133000000000001 8.134 8.135 8.136000000000001 8.137 8.138 8.139 8.14 8.141 8.142 8.143 8.144 8.145 8.146 8.147 8.148 8.149000000000001 8.15

end{sphinxVerbatim}

7.756 7.757000000000001 7.758 7.759 7.76 7.761 7.7620000000000005 7.763 7.764 7.765000000000001 7.766 7.767 7.768 7.769 7.7700000000000005 7.771 7.772 7.773000000000001 7.774 7.775 7.776 7.777 7.7780000000000005 7.779 7.78 7.781000000000001 7.782 7.783 7.784 7.785 7.7860000000000005 7.787 7.788 7.789000000000001 7.79 7.791 7.792 7.793 7.7940000000000005 7.795 7.796 7.797000000000001 7.798 7.799 7.8 7.801 7.8020000000000005 7.803 7.804 7.805000000000001 7.806 7.807 7.808 7.809 7.8100000000000005 7.811 7.812 7.813 7.814 7.815 7.816 7.817 7.8180000000000005 7.819 7.82 7.821 7.822 7.823 7.824 7.825 7.8260000000000005 7.827 7.828 7.829 7.83 7.831 7.832 7.833 7.8340000000000005 7.835 7.836 7.837 7.838 7.839 7.84 7.841 7.8420000000000005 7.843 7.844 7.845 7.846 7.847 7.848 7.849 7.8500000000000005 7.851 7.852 7.853 7.854 7.855 7.856 7.857 7.8580000000000005 7.859 7.86 7.861 7.862 7.863 7.864 7.865 7.8660000000000005 7.867 7.868 7.869 7.87 7.871 7.872 7.873 7.8740000000000006 7.875 7.876 7.877 7.878 7.8790000000000004 7.88 7.881 7.882000000000001 7.883 7.884 7.885 7.886 7.8870000000000005 7.888 7.889 7.890000000000001 7.891 7.892 7.893 7.894 7.8950000000000005 7.896 7.897 7.898000000000001 7.899 7.9 7.901 7.902 7.9030000000000005 7.904 7.905 7.906000000000001 7.907 7.908 7.909 7.91 7.9110000000000005 7.912 7.913 7.914000000000001 7.915 7.916 7.917 7.918 7.9190000000000005 7.92 7.921 7.922000000000001 7.923 7.924 7.925 7.926 7.9270000000000005 7.928 7.929 7.930000000000001 7.931 7.932 7.933 7.934 7.9350000000000005 7.936 7.937 7.938 7.939 7.94 7.941 7.942 7.9430000000000005 7.944 7.945 7.946 7.947 7.948 7.949 7.95 7.9510000000000005 7.952 7.953 7.954 7.955 7.956 7.957 7.958 7.9590000000000005 7.96 7.961 7.962 7.963 7.964 7.965 7.966 7.9670000000000005 7.968 7.969 7.97 7.971 7.972 7.973 7.974 7.9750000000000005 7.976 7.977 7.978 7.979 7.98 7.981 7.982 7.9830000000000005 7.984 7.985 7.986 7.987 7.988 7.989 7.99 7.9910000000000005 7.992 7.993 7.994 7.995 7.996 7.997 7.998 7.9990000000000006 8.0 8.001 8.002 8.003 8.004 8.005 8.006 8.007 8.008000000000001 8.009 8.01 8.011000000000001 8.012 8.013 8.014 8.015 8.016 8.017 8.018 8.019 8.02 8.021 8.022 8.023 8.024000000000001 8.025 8.026 8.027000000000001 8.028 8.029 8.03 8.031 8.032 8.033 8.034 8.035 8.036 8.037 8.038 8.039 8.040000000000001 8.041 8.042 8.043000000000001 8.044 8.045 8.046 8.047 8.048 8.049 8.05 8.051 8.052 8.053 8.054 8.055 8.056000000000001 8.057 8.058 8.059000000000001 8.06 8.061 8.062 8.063 8.064 8.065 8.066 8.067 8.068 8.069 8.07 8.071 8.072000000000001 8.073 8.074 8.075 8.076 8.077 8.078 8.079 8.08 8.081 8.082 8.083 8.084 8.085 8.086 8.087 8.088000000000001 8.089 8.09 8.091 8.092 8.093 8.094 8.095 8.096 8.097 8.098 8.099 8.1 8.101 8.102 8.103 8.104000000000001 8.105 8.106 8.107 8.108 8.109 8.11 8.111 8.112 8.113 8.114 8.115 8.116 8.117 8.118 8.119 8.120000000000001 8.121 8.122 8.123 8.124 8.125 8.126 8.127 8.128 8.129 8.13 8.131 8.132 8.133000000000001 8.134 8.135 8.136000000000001 8.137 8.138 8.139 8.14 8.141 8.142 8.143 8.144 8.145 8.146 8.147 8.148 8.149000000000001 8.15

more-to-come:

8.151 8.152000000000001 8.153 8.154 8.155 8.156 8.157 8.158 8.159 8.16 8.161 8.162 8.163 8.164 8.165000000000001 8.166 8.167 8.168000000000001 8.169 8.17 8.171 8.172 8.173 8.174 8.175 8.176 8.177 8.178 8.179 8.18 8.181000000000001 8.182 8.183 8.184000000000001 8.185 8.186 8.187 8.188 8.189 8.19 8.191 8.192 8.193 8.194 8.195 8.196 8.197000000000001 8.198 8.199 8.2 8.201 8.202 8.203 8.204 8.205 8.206 8.207 8.208 8.209 8.21 8.211 8.212 8.213000000000001 8.214 8.215 8.216 8.217 8.218 8.219 8.22 8.221 8.222 8.223 8.224 8.225 8.226 8.227 8.228 8.229000000000001 8.23 8.231 8.232 8.233 8.234 8.235 8.236 8.237 8.238 8.239 8.24 8.241 8.242 8.243 8.244 8.245000000000001 8.246 8.247 8.248 8.249 8.25 8.251 8.252 8.253 8.254 8.255 8.256 8.257 8.258000000000001 8.259 8.26 8.261000000000001 8.262 8.263 8.264 8.265 8.266 8.267 8.268 8.269 8.27 8.271 8.272 8.273 8.274000000000001 8.275 8.276 8.277000000000001 8.278 8.279 8.28 8.281 8.282 8.283 8.284 8.285 8.286 8.287 8.288 8.289 8.290000000000001 8.291 8.292 8.293000000000001 8.294 8.295 8.296 8.297

</pre>

8.151 8.152000000000001 8.153 8.154 8.155 8.156 8.157 8.158 8.159 8.16 8.161 8.162 8.163 8.164 8.165000000000001 8.166 8.167 8.168000000000001 8.169 8.17 8.171 8.172 8.173 8.174 8.175 8.176 8.177 8.178 8.179 8.18 8.181000000000001 8.182 8.183 8.184000000000001 8.185 8.186 8.187 8.188 8.189 8.19 8.191 8.192 8.193 8.194 8.195 8.196 8.197000000000001 8.198 8.199 8.2 8.201 8.202 8.203 8.204 8.205 8.206 8.207 8.208 8.209 8.21 8.211 8.212 8.213000000000001 8.214 8.215 8.216 8.217 8.218 8.219 8.22 8.221 8.222 8.223 8.224 8.225 8.226 8.227 8.228 8.229000000000001 8.23 8.231 8.232 8.233 8.234 8.235 8.236 8.237 8.238 8.239 8.24 8.241 8.242 8.243 8.244 8.245000000000001 8.246 8.247 8.248 8.249 8.25 8.251 8.252 8.253 8.254 8.255 8.256 8.257 8.258000000000001 8.259 8.26 8.261000000000001 8.262 8.263 8.264 8.265 8.266 8.267 8.268 8.269 8.27 8.271 8.272 8.273 8.274000000000001 8.275 8.276 8.277000000000001 8.278 8.279 8.28 8.281 8.282 8.283 8.284 8.285 8.286 8.287 8.288 8.289 8.290000000000001 8.291 8.292 8.293000000000001 8.294 8.295 8.296 8.297

end{sphinxVerbatim}

8.151 8.152000000000001 8.153 8.154 8.155 8.156 8.157 8.158 8.159 8.16 8.161 8.162 8.163 8.164 8.165000000000001 8.166 8.167 8.168000000000001 8.169 8.17 8.171 8.172 8.173 8.174 8.175 8.176 8.177 8.178 8.179 8.18 8.181000000000001 8.182 8.183 8.184000000000001 8.185 8.186 8.187 8.188 8.189 8.19 8.191 8.192 8.193 8.194 8.195 8.196 8.197000000000001 8.198 8.199 8.2 8.201 8.202 8.203 8.204 8.205 8.206 8.207 8.208 8.209 8.21 8.211 8.212 8.213000000000001 8.214 8.215 8.216 8.217 8.218 8.219 8.22 8.221 8.222 8.223 8.224 8.225 8.226 8.227 8.228 8.229000000000001 8.23 8.231 8.232 8.233 8.234 8.235 8.236 8.237 8.238 8.239 8.24 8.241 8.242 8.243 8.244 8.245000000000001 8.246 8.247 8.248 8.249 8.25 8.251 8.252 8.253 8.254 8.255 8.256 8.257 8.258000000000001 8.259 8.26 8.261000000000001 8.262 8.263 8.264 8.265 8.266 8.267 8.268 8.269 8.27 8.271 8.272 8.273 8.274000000000001 8.275 8.276 8.277000000000001 8.278 8.279 8.28 8.281 8.282 8.283 8.284 8.285 8.286 8.287 8.288 8.289 8.290000000000001 8.291 8.292 8.293000000000001 8.294 8.295 8.296 8.297

more-to-come:

8.298 8.299 8.3 8.301 8.302 8.303 8.304 8.305 8.306000000000001 8.307 8.308 8.309000000000001 8.31 8.311 8.312 8.313 8.314 8.315 8.316 8.317 8.318 8.319 8.32 8.321 8.322000000000001 8.323 8.324 8.325 8.326 8.327 8.328 8.329 8.33 8.331 8.332 8.333 8.334 8.335 8.336 8.337 8.338000000000001 8.339 8.34 8.341 8.342 8.343 8.344 8.345 8.346 8.347 8.348 8.349 8.35 8.351 8.352 8.353 8.354000000000001 8.355 8.356 8.357 8.358 8.359 8.36 8.361 8.362 8.363 8.364 8.365 8.366 8.367 8.368 8.369 8.370000000000001 8.371 8.372 8.373 8.374 8.375 8.376 8.377 8.378 8.379 8.38 8.381 8.382 8.383000000000001 8.384 8.385 8.386000000000001 8.387 8.388 8.389 8.39 8.391 8.392 8.393 8.394 8.395 8.396 8.397 8.398 8.399000000000001 8.4 8.401 8.402000000000001 8.403 8.404 8.405 8.406 8.407 8.408 8.409 8.41 8.411 8.412 8.413 8.414 8.415000000000001 8.416 8.417 8.418000000000001 8.419 8.42 8.421 8.422 8.423 8.424 8.425 8.426 8.427 8.428 8.429 8.43 8.431000000000001 8.432 8.433 8.434000000000001 8.435 8.436 8.437 8.438 8.439 8.44 8.441 8.442 8.443 8.444 8.445 8.446 8.447000000000001 8.448 8.449 8.45 8.451 8.452 8.453 8.454 8.455 8.456 8.457 8.458 8.459 8.46 8.461 8.462 8.463000000000001 8.464 8.465 8.466 8.467 8.468 8.469 8.47 8.471 8.472 8.473 8.474 8.475 8.476 8.477 8.478 8.479000000000001 8.48 8.481 8.482 8.483 8.484 8.485 8.486 8.487 8.488 8.489 8.49 8.491 8.492 8.493 8.494 8.495000000000001 8.496 8.497 8.498 8.499 8.5 8.501 8.502 8.503 8.504 8.505 8.506 8.507 8.508000000000001 8.509 8.51 8.511000000000001 8.512 8.513 8.514 8.515 8.516 8.517 8.518 8.519 8.52 8.521 8.522 8.523 8.524000000000001 8.525 8.526 8.527000000000001 8.528 8.529 8.53 8.531 8.532 8.533 8.534 8.535 8.536 8.537 8.538 8.539 8.540000000000001 8.541 8.542 8.543000000000001 8.544 8.545 8.546 8.547 8.548 8.549 8.55 8.551 8.552 8.553 8.554 8.555 8.556000000000001 8.557 8.558 8.559000000000001 8.56 8.561 8.562 8.563 8.564 8.565 8.566 8.567 8.568 8.569 8.57 8.571 8.572000000000001 8.573 8.574 8.575000000000001 8.576 8.577 8.578 8.579 8.58 8.581 8.582 8.583 8.584 8.585 8.586 8.587 8.588000000000001 8.589 8.59 8.591 8.592 8.593 8.594 8.595 8.596 8.597 8.598 8.599 8.6 8.601 8.602 8.603 8.604000000000001 8.605 8.606 8.607 8.608 8.609 8.61 8.611 8.612 8.613 8.614 8.615 8.616 8.617 8.618 8.619 8.620000000000001 8.621 8.622 8.623 8.624 8.625 8.626 8.627 8.628 8.629 8.63 8.631 8.632 8.633000000000001 8.634 8.635 8.636000000000001 8.637 8.638 8.639 8.64 8.641 8.642 8.643 8.644 8.645 8.646 8.647 8.648 8.649000000000001 8.65 8.651 8.652000000000001 8.653 8.654 8.655 8.656 8.657 8.658 8.659 8.66 8.661 8.662 8.663 8.664 8.665000000000001 8.666 8.667 8.668000000000001 8.669 8.67 8.671 8.672 8.673 8.674 8.675 8.676 8.677 8.678 8.679 8.68 8.681000000000001 8.682 8.683 8.684000000000001 8.685 8.686 8.687 8.688 8.689 8.69 8.691 8.692

</pre>

8.298 8.299 8.3 8.301 8.302 8.303 8.304 8.305 8.306000000000001 8.307 8.308 8.309000000000001 8.31 8.311 8.312 8.313 8.314 8.315 8.316 8.317 8.318 8.319 8.32 8.321 8.322000000000001 8.323 8.324 8.325 8.326 8.327 8.328 8.329 8.33 8.331 8.332 8.333 8.334 8.335 8.336 8.337 8.338000000000001 8.339 8.34 8.341 8.342 8.343 8.344 8.345 8.346 8.347 8.348 8.349 8.35 8.351 8.352 8.353 8.354000000000001 8.355 8.356 8.357 8.358 8.359 8.36 8.361 8.362 8.363 8.364 8.365 8.366 8.367 8.368 8.369 8.370000000000001 8.371 8.372 8.373 8.374 8.375 8.376 8.377 8.378 8.379 8.38 8.381 8.382 8.383000000000001 8.384 8.385 8.386000000000001 8.387 8.388 8.389 8.39 8.391 8.392 8.393 8.394 8.395 8.396 8.397 8.398 8.399000000000001 8.4 8.401 8.402000000000001 8.403 8.404 8.405 8.406 8.407 8.408 8.409 8.41 8.411 8.412 8.413 8.414 8.415000000000001 8.416 8.417 8.418000000000001 8.419 8.42 8.421 8.422 8.423 8.424 8.425 8.426 8.427 8.428 8.429 8.43 8.431000000000001 8.432 8.433 8.434000000000001 8.435 8.436 8.437 8.438 8.439 8.44 8.441 8.442 8.443 8.444 8.445 8.446 8.447000000000001 8.448 8.449 8.45 8.451 8.452 8.453 8.454 8.455 8.456 8.457 8.458 8.459 8.46 8.461 8.462 8.463000000000001 8.464 8.465 8.466 8.467 8.468 8.469 8.47 8.471 8.472 8.473 8.474 8.475 8.476 8.477 8.478 8.479000000000001 8.48 8.481 8.482 8.483 8.484 8.485 8.486 8.487 8.488 8.489 8.49 8.491 8.492 8.493 8.494 8.495000000000001 8.496 8.497 8.498 8.499 8.5 8.501 8.502 8.503 8.504 8.505 8.506 8.507 8.508000000000001 8.509 8.51 8.511000000000001 8.512 8.513 8.514 8.515 8.516 8.517 8.518 8.519 8.52 8.521 8.522 8.523 8.524000000000001 8.525 8.526 8.527000000000001 8.528 8.529 8.53 8.531 8.532 8.533 8.534 8.535 8.536 8.537 8.538 8.539 8.540000000000001 8.541 8.542 8.543000000000001 8.544 8.545 8.546 8.547 8.548 8.549 8.55 8.551 8.552 8.553 8.554 8.555 8.556000000000001 8.557 8.558 8.559000000000001 8.56 8.561 8.562 8.563 8.564 8.565 8.566 8.567 8.568 8.569 8.57 8.571 8.572000000000001 8.573 8.574 8.575000000000001 8.576 8.577 8.578 8.579 8.58 8.581 8.582 8.583 8.584 8.585 8.586 8.587 8.588000000000001 8.589 8.59 8.591 8.592 8.593 8.594 8.595 8.596 8.597 8.598 8.599 8.6 8.601 8.602 8.603 8.604000000000001 8.605 8.606 8.607 8.608 8.609 8.61 8.611 8.612 8.613 8.614 8.615 8.616 8.617 8.618 8.619 8.620000000000001 8.621 8.622 8.623 8.624 8.625 8.626 8.627 8.628 8.629 8.63 8.631 8.632 8.633000000000001 8.634 8.635 8.636000000000001 8.637 8.638 8.639 8.64 8.641 8.642 8.643 8.644 8.645 8.646 8.647 8.648 8.649000000000001 8.65 8.651 8.652000000000001 8.653 8.654 8.655 8.656 8.657 8.658 8.659 8.66 8.661 8.662 8.663 8.664 8.665000000000001 8.666 8.667 8.668000000000001 8.669 8.67 8.671 8.672 8.673 8.674 8.675 8.676 8.677 8.678 8.679 8.68 8.681000000000001 8.682 8.683 8.684000000000001 8.685 8.686 8.687 8.688 8.689 8.69 8.691 8.692

end{sphinxVerbatim}

8.298 8.299 8.3 8.301 8.302 8.303 8.304 8.305 8.306000000000001 8.307 8.308 8.309000000000001 8.31 8.311 8.312 8.313 8.314 8.315 8.316 8.317 8.318 8.319 8.32 8.321 8.322000000000001 8.323 8.324 8.325 8.326 8.327 8.328 8.329 8.33 8.331 8.332 8.333 8.334 8.335 8.336 8.337 8.338000000000001 8.339 8.34 8.341 8.342 8.343 8.344 8.345 8.346 8.347 8.348 8.349 8.35 8.351 8.352 8.353 8.354000000000001 8.355 8.356 8.357 8.358 8.359 8.36 8.361 8.362 8.363 8.364 8.365 8.366 8.367 8.368 8.369 8.370000000000001 8.371 8.372 8.373 8.374 8.375 8.376 8.377 8.378 8.379 8.38 8.381 8.382 8.383000000000001 8.384 8.385 8.386000000000001 8.387 8.388 8.389 8.39 8.391 8.392 8.393 8.394 8.395 8.396 8.397 8.398 8.399000000000001 8.4 8.401 8.402000000000001 8.403 8.404 8.405 8.406 8.407 8.408 8.409 8.41 8.411 8.412 8.413 8.414 8.415000000000001 8.416 8.417 8.418000000000001 8.419 8.42 8.421 8.422 8.423 8.424 8.425 8.426 8.427 8.428 8.429 8.43 8.431000000000001 8.432 8.433 8.434000000000001 8.435 8.436 8.437 8.438 8.439 8.44 8.441 8.442 8.443 8.444 8.445 8.446 8.447000000000001 8.448 8.449 8.45 8.451 8.452 8.453 8.454 8.455 8.456 8.457 8.458 8.459 8.46 8.461 8.462 8.463000000000001 8.464 8.465 8.466 8.467 8.468 8.469 8.47 8.471 8.472 8.473 8.474 8.475 8.476 8.477 8.478 8.479000000000001 8.48 8.481 8.482 8.483 8.484 8.485 8.486 8.487 8.488 8.489 8.49 8.491 8.492 8.493 8.494 8.495000000000001 8.496 8.497 8.498 8.499 8.5 8.501 8.502 8.503 8.504 8.505 8.506 8.507 8.508000000000001 8.509 8.51 8.511000000000001 8.512 8.513 8.514 8.515 8.516 8.517 8.518 8.519 8.52 8.521 8.522 8.523 8.524000000000001 8.525 8.526 8.527000000000001 8.528 8.529 8.53 8.531 8.532 8.533 8.534 8.535 8.536 8.537 8.538 8.539 8.540000000000001 8.541 8.542 8.543000000000001 8.544 8.545 8.546 8.547 8.548 8.549 8.55 8.551 8.552 8.553 8.554 8.555 8.556000000000001 8.557 8.558 8.559000000000001 8.56 8.561 8.562 8.563 8.564 8.565 8.566 8.567 8.568 8.569 8.57 8.571 8.572000000000001 8.573 8.574 8.575000000000001 8.576 8.577 8.578 8.579 8.58 8.581 8.582 8.583 8.584 8.585 8.586 8.587 8.588000000000001 8.589 8.59 8.591 8.592 8.593 8.594 8.595 8.596 8.597 8.598 8.599 8.6 8.601 8.602 8.603 8.604000000000001 8.605 8.606 8.607 8.608 8.609 8.61 8.611 8.612 8.613 8.614 8.615 8.616 8.617 8.618 8.619 8.620000000000001 8.621 8.622 8.623 8.624 8.625 8.626 8.627 8.628 8.629 8.63 8.631 8.632 8.633000000000001 8.634 8.635 8.636000000000001 8.637 8.638 8.639 8.64 8.641 8.642 8.643 8.644 8.645 8.646 8.647 8.648 8.649000000000001 8.65 8.651 8.652000000000001 8.653 8.654 8.655 8.656 8.657 8.658 8.659 8.66 8.661 8.662 8.663 8.664 8.665000000000001 8.666 8.667 8.668000000000001 8.669 8.67 8.671 8.672 8.673 8.674 8.675 8.676 8.677 8.678 8.679 8.68 8.681000000000001 8.682 8.683 8.684000000000001 8.685 8.686 8.687 8.688 8.689 8.69 8.691 8.692

more-to-come:

8.693 8.694 8.695 8.696 8.697000000000001 8.698 8.699 8.700000000000001 8.701 8.702 8.703 8.704 8.705 8.706 8.707 8.708 8.709 8.71 8.711 8.712 8.713000000000001 8.714 8.715 8.716 8.717 8.718 8.719 8.72 8.721 8.722 8.723 8.724 8.725 8.726 8.727 8.728 8.729000000000001 8.73 8.731 8.732 8.733 8.734 8.735 8.736 8.737 8.738 8.739 8.74 8.741 8.742 8.743 8.744 8.745000000000001 8.746 8.747 8.748 8.749 8.75 8.751 8.752 8.753 8.754 8.755 8.756 8.757 8.758000000000001 8.759 8.76 8.761000000000001 8.762 8.763 8.764 8.765 8.766 8.767 8.768 8.769 8.77 8.771 8.772 8.773 8.774000000000001 8.775 8.776 8.777000000000001 8.778 8.779 8.78 8.781 8.782 8.783 8.784 8.785 8.786 8.787 8.788 8.789 8.790000000000001 8.791 8.792 8.793000000000001 8.794 8.795 8.796 8.797 8.798 8.799 8.8 8.801 8.802 8.803 8.804 8.805 8.806000000000001 8.807 8.808 8.809000000000001 8.81 8.811 8.812 8.813 8.814 8.815 8.816 8.817 8.818 8.819 8.82 8.821 8.822000000000001 8.823 8.824 8.825000000000001 8.826 8.827 8.828 8.829 8.83 8.831 8.832 8.833 8.834 8.835 8.836 8.837 8.838000000000001 8.839 8.84

</pre>

8.693 8.694 8.695 8.696 8.697000000000001 8.698 8.699 8.700000000000001 8.701 8.702 8.703 8.704 8.705 8.706 8.707 8.708 8.709 8.71 8.711 8.712 8.713000000000001 8.714 8.715 8.716 8.717 8.718 8.719 8.72 8.721 8.722 8.723 8.724 8.725 8.726 8.727 8.728 8.729000000000001 8.73 8.731 8.732 8.733 8.734 8.735 8.736 8.737 8.738 8.739 8.74 8.741 8.742 8.743 8.744 8.745000000000001 8.746 8.747 8.748 8.749 8.75 8.751 8.752 8.753 8.754 8.755 8.756 8.757 8.758000000000001 8.759 8.76 8.761000000000001 8.762 8.763 8.764 8.765 8.766 8.767 8.768 8.769 8.77 8.771 8.772 8.773 8.774000000000001 8.775 8.776 8.777000000000001 8.778 8.779 8.78 8.781 8.782 8.783 8.784 8.785 8.786 8.787 8.788 8.789 8.790000000000001 8.791 8.792 8.793000000000001 8.794 8.795 8.796 8.797 8.798 8.799 8.8 8.801 8.802 8.803 8.804 8.805 8.806000000000001 8.807 8.808 8.809000000000001 8.81 8.811 8.812 8.813 8.814 8.815 8.816 8.817 8.818 8.819 8.82 8.821 8.822000000000001 8.823 8.824 8.825000000000001 8.826 8.827 8.828 8.829 8.83 8.831 8.832 8.833 8.834 8.835 8.836 8.837 8.838000000000001 8.839 8.84

end{sphinxVerbatim}

8.693 8.694 8.695 8.696 8.697000000000001 8.698 8.699 8.700000000000001 8.701 8.702 8.703 8.704 8.705 8.706 8.707 8.708 8.709 8.71 8.711 8.712 8.713000000000001 8.714 8.715 8.716 8.717 8.718 8.719 8.72 8.721 8.722 8.723 8.724 8.725 8.726 8.727 8.728 8.729000000000001 8.73 8.731 8.732 8.733 8.734 8.735 8.736 8.737 8.738 8.739 8.74 8.741 8.742 8.743 8.744 8.745000000000001 8.746 8.747 8.748 8.749 8.75 8.751 8.752 8.753 8.754 8.755 8.756 8.757 8.758000000000001 8.759 8.76 8.761000000000001 8.762 8.763 8.764 8.765 8.766 8.767 8.768 8.769 8.77 8.771 8.772 8.773 8.774000000000001 8.775 8.776 8.777000000000001 8.778 8.779 8.78 8.781 8.782 8.783 8.784 8.785 8.786 8.787 8.788 8.789 8.790000000000001 8.791 8.792 8.793000000000001 8.794 8.795 8.796 8.797 8.798 8.799 8.8 8.801 8.802 8.803 8.804 8.805 8.806000000000001 8.807 8.808 8.809000000000001 8.81 8.811 8.812 8.813 8.814 8.815 8.816 8.817 8.818 8.819 8.82 8.821 8.822000000000001 8.823 8.824 8.825000000000001 8.826 8.827 8.828 8.829 8.83 8.831 8.832 8.833 8.834 8.835 8.836 8.837 8.838000000000001 8.839 8.84

more-to-come:

8.841 8.842 8.843 8.844 8.845 8.846 8.847 8.848 8.849 8.85 8.851 8.852 8.853 8.854000000000001 8.855 8.856 8.857 8.858 8.859 8.86 8.861 8.862 8.863 8.864 8.865 8.866 8.867 8.868 8.869 8.870000000000001 8.871 8.872 8.873 8.874 8.875 8.876 8.877 8.878 8.879 8.88 8.881 8.882 8.883000000000001 8.884 8.885 8.886000000000001 8.887 8.888 8.889 8.89 8.891 8.892 8.893 8.894 8.895 8.896 8.897 8.898 8.899000000000001 8.9 8.901 8.902000000000001 8.903 8.904 8.905 8.906 8.907 8.908 8.909 8.91 8.911 8.912 8.913 8.914 8.915000000000001 8.916 8.917 8.918000000000001 8.919 8.92 8.921 8.922 8.923 8.924 8.925 8.926 8.927 8.928 8.929 8.93 8.931000000000001 8.932 8.933 8.934000000000001 8.935 8.936 8.937 8.938 8.939 8.94 8.941 8.942 8.943 8.944 8.945 8.946 8.947000000000001 8.948 8.949 8.950000000000001 8.951 8.952 8.953 8.954 8.955 8.956 8.957 8.958 8.959 8.96 8.961 8.962 8.963000000000001 8.964 8.965 8.966 8.967 8.968 8.969 8.97 8.971 8.972 8.973 8.974 8.975 8.976 8.977 8.978 8.979000000000001 8.98 8.981 8.982 8.983 8.984 8.985 8.986 8.987 8.988 8.989 8.99 8.991 8.992 8.993 8.994 8.995000000000001 8.996 8.997 8.998 8.999 9.0 9.001 9.002 9.003 9.004 9.005 9.006 9.007 9.008000000000001 9.009 9.01 9.011000000000001 9.012 9.013 9.014 9.015 9.016 9.017 9.018 9.019 9.02 9.021 9.022 9.023 9.024000000000001 9.025 9.026 9.027000000000001 9.028 9.029 9.03 9.031 9.032 9.033 9.034 9.035 9.036 9.037 9.038 9.039 9.040000000000001 9.041 9.042 9.043000000000001 9.044 9.045 9.046 9.047 9.048 9.049 9.05 9.051 9.052 9.053 9.054 9.055 9.056000000000001 9.057 9.058 9.059000000000001 9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071 9.072000000000001 9.073 9.074 9.075000000000001 9.076 9.077 9.078 9.079 9.08 9.081 9.082 9.083 9.084 9.085 9.086 9.087 9.088000000000001 9.089 9.09 9.091 9.092 9.093 9.094 9.095 9.096 9.097 9.098 9.099 9.1 9.101 9.102 9.103 9.104000000000001 9.105 9.106 9.107 9.108 9.109 9.11 9.111 9.112 9.113 9.114 9.115 9.116 9.117 9.118 9.119 9.120000000000001 9.121 9.122 9.123 9.124 9.125 9.126 9.127 9.128 9.129 9.13 9.131 9.132 9.133000000000001 9.134 9.135 9.136000000000001 9.137 9.138 9.139 9.14 9.141 9.142 9.143 9.144 9.145 9.146 9.147 9.148 9.149000000000001 9.15 9.151 9.152000000000001 9.153 9.154 9.155 9.156 9.157 9.158 9.159 9.16 9.161 9.162 9.163 9.164 9.165000000000001 9.166 9.167 9.168000000000001 9.169 9.17 9.171 9.172 9.173 9.174 9.175 9.176 9.177 9.178 9.179 9.18 9.181000000000001 9.182 9.183 9.184000000000001 9.185 9.186 9.187 9.188 9.189 9.19 9.191 9.192 9.193 9.194 9.195 9.196 9.197000000000001 9.198 9.199 9.200000000000001 9.201 9.202 9.203 9.204 9.205 9.206 9.207 9.208 9.209 9.21 9.211 9.212 9.213000000000001 9.214 9.215 9.216000000000001 9.217 9.218 9.219 9.22 9.221 9.222 9.223 9.224 9.225 9.226 9.227 9.228 9.229000000000001 9.23 9.231 9.232 9.233 9.234 9.235 9.236 9.237

</pre>

8.841 8.842 8.843 8.844 8.845 8.846 8.847 8.848 8.849 8.85 8.851 8.852 8.853 8.854000000000001 8.855 8.856 8.857 8.858 8.859 8.86 8.861 8.862 8.863 8.864 8.865 8.866 8.867 8.868 8.869 8.870000000000001 8.871 8.872 8.873 8.874 8.875 8.876 8.877 8.878 8.879 8.88 8.881 8.882 8.883000000000001 8.884 8.885 8.886000000000001 8.887 8.888 8.889 8.89 8.891 8.892 8.893 8.894 8.895 8.896 8.897 8.898 8.899000000000001 8.9 8.901 8.902000000000001 8.903 8.904 8.905 8.906 8.907 8.908 8.909 8.91 8.911 8.912 8.913 8.914 8.915000000000001 8.916 8.917 8.918000000000001 8.919 8.92 8.921 8.922 8.923 8.924 8.925 8.926 8.927 8.928 8.929 8.93 8.931000000000001 8.932 8.933 8.934000000000001 8.935 8.936 8.937 8.938 8.939 8.94 8.941 8.942 8.943 8.944 8.945 8.946 8.947000000000001 8.948 8.949 8.950000000000001 8.951 8.952 8.953 8.954 8.955 8.956 8.957 8.958 8.959 8.96 8.961 8.962 8.963000000000001 8.964 8.965 8.966 8.967 8.968 8.969 8.97 8.971 8.972 8.973 8.974 8.975 8.976 8.977 8.978 8.979000000000001 8.98 8.981 8.982 8.983 8.984 8.985 8.986 8.987 8.988 8.989 8.99 8.991 8.992 8.993 8.994 8.995000000000001 8.996 8.997 8.998 8.999 9.0 9.001 9.002 9.003 9.004 9.005 9.006 9.007 9.008000000000001 9.009 9.01 9.011000000000001 9.012 9.013 9.014 9.015 9.016 9.017 9.018 9.019 9.02 9.021 9.022 9.023 9.024000000000001 9.025 9.026 9.027000000000001 9.028 9.029 9.03 9.031 9.032 9.033 9.034 9.035 9.036 9.037 9.038 9.039 9.040000000000001 9.041 9.042 9.043000000000001 9.044 9.045 9.046 9.047 9.048 9.049 9.05 9.051 9.052 9.053 9.054 9.055 9.056000000000001 9.057 9.058 9.059000000000001 9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071 9.072000000000001 9.073 9.074 9.075000000000001 9.076 9.077 9.078 9.079 9.08 9.081 9.082 9.083 9.084 9.085 9.086 9.087 9.088000000000001 9.089 9.09 9.091 9.092 9.093 9.094 9.095 9.096 9.097 9.098 9.099 9.1 9.101 9.102 9.103 9.104000000000001 9.105 9.106 9.107 9.108 9.109 9.11 9.111 9.112 9.113 9.114 9.115 9.116 9.117 9.118 9.119 9.120000000000001 9.121 9.122 9.123 9.124 9.125 9.126 9.127 9.128 9.129 9.13 9.131 9.132 9.133000000000001 9.134 9.135 9.136000000000001 9.137 9.138 9.139 9.14 9.141 9.142 9.143 9.144 9.145 9.146 9.147 9.148 9.149000000000001 9.15 9.151 9.152000000000001 9.153 9.154 9.155 9.156 9.157 9.158 9.159 9.16 9.161 9.162 9.163 9.164 9.165000000000001 9.166 9.167 9.168000000000001 9.169 9.17 9.171 9.172 9.173 9.174 9.175 9.176 9.177 9.178 9.179 9.18 9.181000000000001 9.182 9.183 9.184000000000001 9.185 9.186 9.187 9.188 9.189 9.19 9.191 9.192 9.193 9.194 9.195 9.196 9.197000000000001 9.198 9.199 9.200000000000001 9.201 9.202 9.203 9.204 9.205 9.206 9.207 9.208 9.209 9.21 9.211 9.212 9.213000000000001 9.214 9.215 9.216000000000001 9.217 9.218 9.219 9.22 9.221 9.222 9.223 9.224 9.225 9.226 9.227 9.228 9.229000000000001 9.23 9.231 9.232 9.233 9.234 9.235 9.236 9.237

end{sphinxVerbatim}

8.841 8.842 8.843 8.844 8.845 8.846 8.847 8.848 8.849 8.85 8.851 8.852 8.853 8.854000000000001 8.855 8.856 8.857 8.858 8.859 8.86 8.861 8.862 8.863 8.864 8.865 8.866 8.867 8.868 8.869 8.870000000000001 8.871 8.872 8.873 8.874 8.875 8.876 8.877 8.878 8.879 8.88 8.881 8.882 8.883000000000001 8.884 8.885 8.886000000000001 8.887 8.888 8.889 8.89 8.891 8.892 8.893 8.894 8.895 8.896 8.897 8.898 8.899000000000001 8.9 8.901 8.902000000000001 8.903 8.904 8.905 8.906 8.907 8.908 8.909 8.91 8.911 8.912 8.913 8.914 8.915000000000001 8.916 8.917 8.918000000000001 8.919 8.92 8.921 8.922 8.923 8.924 8.925 8.926 8.927 8.928 8.929 8.93 8.931000000000001 8.932 8.933 8.934000000000001 8.935 8.936 8.937 8.938 8.939 8.94 8.941 8.942 8.943 8.944 8.945 8.946 8.947000000000001 8.948 8.949 8.950000000000001 8.951 8.952 8.953 8.954 8.955 8.956 8.957 8.958 8.959 8.96 8.961 8.962 8.963000000000001 8.964 8.965 8.966 8.967 8.968 8.969 8.97 8.971 8.972 8.973 8.974 8.975 8.976 8.977 8.978 8.979000000000001 8.98 8.981 8.982 8.983 8.984 8.985 8.986 8.987 8.988 8.989 8.99 8.991 8.992 8.993 8.994 8.995000000000001 8.996 8.997 8.998 8.999 9.0 9.001 9.002 9.003 9.004 9.005 9.006 9.007 9.008000000000001 9.009 9.01 9.011000000000001 9.012 9.013 9.014 9.015 9.016 9.017 9.018 9.019 9.02 9.021 9.022 9.023 9.024000000000001 9.025 9.026 9.027000000000001 9.028 9.029 9.03 9.031 9.032 9.033 9.034 9.035 9.036 9.037 9.038 9.039 9.040000000000001 9.041 9.042 9.043000000000001 9.044 9.045 9.046 9.047 9.048 9.049 9.05 9.051 9.052 9.053 9.054 9.055 9.056000000000001 9.057 9.058 9.059000000000001 9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071 9.072000000000001 9.073 9.074 9.075000000000001 9.076 9.077 9.078 9.079 9.08 9.081 9.082 9.083 9.084 9.085 9.086 9.087 9.088000000000001 9.089 9.09 9.091 9.092 9.093 9.094 9.095 9.096 9.097 9.098 9.099 9.1 9.101 9.102 9.103 9.104000000000001 9.105 9.106 9.107 9.108 9.109 9.11 9.111 9.112 9.113 9.114 9.115 9.116 9.117 9.118 9.119 9.120000000000001 9.121 9.122 9.123 9.124 9.125 9.126 9.127 9.128 9.129 9.13 9.131 9.132 9.133000000000001 9.134 9.135 9.136000000000001 9.137 9.138 9.139 9.14 9.141 9.142 9.143 9.144 9.145 9.146 9.147 9.148 9.149000000000001 9.15 9.151 9.152000000000001 9.153 9.154 9.155 9.156 9.157 9.158 9.159 9.16 9.161 9.162 9.163 9.164 9.165000000000001 9.166 9.167 9.168000000000001 9.169 9.17 9.171 9.172 9.173 9.174 9.175 9.176 9.177 9.178 9.179 9.18 9.181000000000001 9.182 9.183 9.184000000000001 9.185 9.186 9.187 9.188 9.189 9.19 9.191 9.192 9.193 9.194 9.195 9.196 9.197000000000001 9.198 9.199 9.200000000000001 9.201 9.202 9.203 9.204 9.205 9.206 9.207 9.208 9.209 9.21 9.211 9.212 9.213000000000001 9.214 9.215 9.216000000000001 9.217 9.218 9.219 9.22 9.221 9.222 9.223 9.224 9.225 9.226 9.227 9.228 9.229000000000001 9.23 9.231 9.232 9.233 9.234 9.235 9.236 9.237

more-to-come:

9.238 9.239 9.24 9.241 9.242 9.243 9.244 9.245000000000001 9.246 9.247 9.248 9.249 9.25 9.251 9.252 9.253 9.254 9.255 9.256 9.257 9.258000000000001 9.259 9.26 9.261000000000001 9.262 9.263 9.264 9.265 9.266 9.267 9.268 9.269 9.27 9.271 9.272 9.273 9.274000000000001 9.275 9.276 9.277000000000001 9.278 9.279 9.28 9.281 9.282 9.283 9.284 9.285 9.286 9.287 9.288 9.289 9.290000000000001 9.291 9.292 9.293000000000001 9.294 9.295 9.296 9.297 9.298 9.299 9.3 9.301 9.302 9.303 9.304 9.305 9.306000000000001 9.307 9.308 9.309000000000001 9.31 9.311 9.312 9.313 9.314 9.315 9.316 9.317 9.318 9.319 9.32 9.321 9.322000000000001 9.323 9.324 9.325000000000001 9.326 9.327 9.328 9.329 9.33 9.331 9.332 9.333 9.334 9.335 9.336 9.337 9.338000000000001 9.339 9.34 9.341000000000001 9.342 9.343 9.344 9.345 9.346 9.347 9.348 9.349 9.35 9.351 9.352 9.353 9.354000000000001 9.355 9.356 9.357 9.358 9.359 9.36 9.361 9.362 9.363 9.364 9.365 9.366 9.367 9.368 9.369 9.370000000000001 9.371 9.372 9.373 9.374 9.375 9.376 9.377 9.378 9.379 9.38 9.381 9.382 9.383000000000001 9.384

</pre>

9.238 9.239 9.24 9.241 9.242 9.243 9.244 9.245000000000001 9.246 9.247 9.248 9.249 9.25 9.251 9.252 9.253 9.254 9.255 9.256 9.257 9.258000000000001 9.259 9.26 9.261000000000001 9.262 9.263 9.264 9.265 9.266 9.267 9.268 9.269 9.27 9.271 9.272 9.273 9.274000000000001 9.275 9.276 9.277000000000001 9.278 9.279 9.28 9.281 9.282 9.283 9.284 9.285 9.286 9.287 9.288 9.289 9.290000000000001 9.291 9.292 9.293000000000001 9.294 9.295 9.296 9.297 9.298 9.299 9.3 9.301 9.302 9.303 9.304 9.305 9.306000000000001 9.307 9.308 9.309000000000001 9.31 9.311 9.312 9.313 9.314 9.315 9.316 9.317 9.318 9.319 9.32 9.321 9.322000000000001 9.323 9.324 9.325000000000001 9.326 9.327 9.328 9.329 9.33 9.331 9.332 9.333 9.334 9.335 9.336 9.337 9.338000000000001 9.339 9.34 9.341000000000001 9.342 9.343 9.344 9.345 9.346 9.347 9.348 9.349 9.35 9.351 9.352 9.353 9.354000000000001 9.355 9.356 9.357 9.358 9.359 9.36 9.361 9.362 9.363 9.364 9.365 9.366 9.367 9.368 9.369 9.370000000000001 9.371 9.372 9.373 9.374 9.375 9.376 9.377 9.378 9.379 9.38 9.381 9.382 9.383000000000001 9.384

end{sphinxVerbatim}

9.238 9.239 9.24 9.241 9.242 9.243 9.244 9.245000000000001 9.246 9.247 9.248 9.249 9.25 9.251 9.252 9.253 9.254 9.255 9.256 9.257 9.258000000000001 9.259 9.26 9.261000000000001 9.262 9.263 9.264 9.265 9.266 9.267 9.268 9.269 9.27 9.271 9.272 9.273 9.274000000000001 9.275 9.276 9.277000000000001 9.278 9.279 9.28 9.281 9.282 9.283 9.284 9.285 9.286 9.287 9.288 9.289 9.290000000000001 9.291 9.292 9.293000000000001 9.294 9.295 9.296 9.297 9.298 9.299 9.3 9.301 9.302 9.303 9.304 9.305 9.306000000000001 9.307 9.308 9.309000000000001 9.31 9.311 9.312 9.313 9.314 9.315 9.316 9.317 9.318 9.319 9.32 9.321 9.322000000000001 9.323 9.324 9.325000000000001 9.326 9.327 9.328 9.329 9.33 9.331 9.332 9.333 9.334 9.335 9.336 9.337 9.338000000000001 9.339 9.34 9.341000000000001 9.342 9.343 9.344 9.345 9.346 9.347 9.348 9.349 9.35 9.351 9.352 9.353 9.354000000000001 9.355 9.356 9.357 9.358 9.359 9.36 9.361 9.362 9.363 9.364 9.365 9.366 9.367 9.368 9.369 9.370000000000001 9.371 9.372 9.373 9.374 9.375 9.376 9.377 9.378 9.379 9.38 9.381 9.382 9.383000000000001 9.384

more-to-come:

9.385 9.386000000000001 9.387 9.388 9.389 9.39 9.391 9.392 9.393 9.394 9.395 9.396 9.397 9.398 9.399000000000001 9.4 9.401 9.402000000000001 9.403 9.404 9.405 9.406 9.407 9.408 9.409 9.41 9.411 9.412 9.413 9.414 9.415000000000001 9.416 9.417 9.418000000000001 9.419 9.42 9.421 9.422 9.423 9.424 9.425 9.426 9.427 9.428 9.429 9.43 9.431000000000001 9.432 9.433 9.434000000000001 9.435 9.436 9.437 9.438 9.439 9.44 9.441 9.442 9.443 9.444 9.445 9.446 9.447000000000001 9.448 9.449 9.450000000000001 9.451 9.452 9.453 9.454 9.455 9.456 9.457 9.458 9.459 9.46 9.461 9.462 9.463000000000001 9.464 9.465 9.466000000000001 9.467 9.468 9.469 9.47 9.471 9.472 9.473 9.474 9.475 9.476 9.477 9.478 9.479000000000001 9.48 9.481 9.482 9.483 9.484 9.485 9.486 9.487 9.488 9.489 9.49 9.491 9.492 9.493 9.494 9.495000000000001 9.496 9.497 9.498 9.499 9.5 9.501 9.502 9.503 9.504 9.505 9.506 9.507 9.508000000000001 9.509 9.51 9.511000000000001 9.512 9.513 9.514 9.515 9.516 9.517 9.518 9.519 9.52 9.521 9.522 9.523 9.524000000000001 9.525 9.526 9.527000000000001 9.528 9.529 9.53 9.531 9.532 9.533 9.534 9.535 9.536 9.537 9.538 9.539 9.540000000000001 9.541 9.542 9.543000000000001 9.544 9.545 9.546 9.547 9.548 9.549 9.55 9.551 9.552 9.553 9.554 9.555 9.556000000000001 9.557 9.558 9.559000000000001 9.56 9.561 9.562 9.563 9.564 9.565 9.566 9.567 9.568 9.569 9.57 9.571 9.572000000000001 9.573 9.574 9.575000000000001 9.576 9.577 9.578 9.579 9.58 9.581 9.582 9.583 9.584 9.585 9.586 9.587 9.588000000000001 9.589 9.59 9.591000000000001 9.592 9.593 9.594 9.595 9.596 9.597 9.598 9.599 9.6 9.601 9.602 9.603 9.604000000000001 9.605 9.606 9.607 9.608 9.609 9.61 9.611 9.612 9.613 9.614 9.615 9.616 9.617 9.618 9.619 9.620000000000001 9.621 9.622 9.623 9.624 9.625 9.626 9.627 9.628 9.629 9.63 9.631 9.632 9.633000000000001 9.634 9.635 9.636000000000001 9.637 9.638 9.639 9.64 9.641 9.642 9.643 9.644 9.645 9.646 9.647 9.648 9.649000000000001 9.65 9.651 9.652000000000001 9.653 9.654 9.655 9.656 9.657 9.658 9.659 9.66 9.661 9.662 9.663 9.664 9.665000000000001 9.666 9.667 9.668000000000001 9.669 9.67 9.671 9.672 9.673 9.674 9.675 9.676 9.677 9.678 9.679 9.68 9.681000000000001 9.682 9.683 9.684000000000001 9.685 9.686 9.687 9.688 9.689 9.69 9.691 9.692 9.693 9.694 9.695 9.696 9.697000000000001 9.698 9.699 9.700000000000001 9.701 9.702 9.703 9.704 9.705 9.706 9.707 9.708 9.709 9.71 9.711 9.712 9.713000000000001 9.714 9.715 9.716000000000001 9.717 9.718 9.719 9.72 9.721 9.722 9.723 9.724 9.725 9.726 9.727 9.728 9.729000000000001 9.73 9.731 9.732 9.733 9.734 9.735 9.736 9.737 9.738 9.739 9.74 9.741 9.742 9.743 9.744 9.745000000000001 9.746 9.747 9.748 9.749 9.75 9.751 9.752 9.753 9.754 9.755 9.756 9.757 9.758000000000001 9.759 9.76 9.761000000000001 9.762 9.763 9.764 9.765 9.766 9.767 9.768 9.769 9.77 9.771 9.772 9.773 9.774000000000001 9.775 9.776 9.777000000000001 9.778 9.779

</pre>

9.385 9.386000000000001 9.387 9.388 9.389 9.39 9.391 9.392 9.393 9.394 9.395 9.396 9.397 9.398 9.399000000000001 9.4 9.401 9.402000000000001 9.403 9.404 9.405 9.406 9.407 9.408 9.409 9.41 9.411 9.412 9.413 9.414 9.415000000000001 9.416 9.417 9.418000000000001 9.419 9.42 9.421 9.422 9.423 9.424 9.425 9.426 9.427 9.428 9.429 9.43 9.431000000000001 9.432 9.433 9.434000000000001 9.435 9.436 9.437 9.438 9.439 9.44 9.441 9.442 9.443 9.444 9.445 9.446 9.447000000000001 9.448 9.449 9.450000000000001 9.451 9.452 9.453 9.454 9.455 9.456 9.457 9.458 9.459 9.46 9.461 9.462 9.463000000000001 9.464 9.465 9.466000000000001 9.467 9.468 9.469 9.47 9.471 9.472 9.473 9.474 9.475 9.476 9.477 9.478 9.479000000000001 9.48 9.481 9.482 9.483 9.484 9.485 9.486 9.487 9.488 9.489 9.49 9.491 9.492 9.493 9.494 9.495000000000001 9.496 9.497 9.498 9.499 9.5 9.501 9.502 9.503 9.504 9.505 9.506 9.507 9.508000000000001 9.509 9.51 9.511000000000001 9.512 9.513 9.514 9.515 9.516 9.517 9.518 9.519 9.52 9.521 9.522 9.523 9.524000000000001 9.525 9.526 9.527000000000001 9.528 9.529 9.53 9.531 9.532 9.533 9.534 9.535 9.536 9.537 9.538 9.539 9.540000000000001 9.541 9.542 9.543000000000001 9.544 9.545 9.546 9.547 9.548 9.549 9.55 9.551 9.552 9.553 9.554 9.555 9.556000000000001 9.557 9.558 9.559000000000001 9.56 9.561 9.562 9.563 9.564 9.565 9.566 9.567 9.568 9.569 9.57 9.571 9.572000000000001 9.573 9.574 9.575000000000001 9.576 9.577 9.578 9.579 9.58 9.581 9.582 9.583 9.584 9.585 9.586 9.587 9.588000000000001 9.589 9.59 9.591000000000001 9.592 9.593 9.594 9.595 9.596 9.597 9.598 9.599 9.6 9.601 9.602 9.603 9.604000000000001 9.605 9.606 9.607 9.608 9.609 9.61 9.611 9.612 9.613 9.614 9.615 9.616 9.617 9.618 9.619 9.620000000000001 9.621 9.622 9.623 9.624 9.625 9.626 9.627 9.628 9.629 9.63 9.631 9.632 9.633000000000001 9.634 9.635 9.636000000000001 9.637 9.638 9.639 9.64 9.641 9.642 9.643 9.644 9.645 9.646 9.647 9.648 9.649000000000001 9.65 9.651 9.652000000000001 9.653 9.654 9.655 9.656 9.657 9.658 9.659 9.66 9.661 9.662 9.663 9.664 9.665000000000001 9.666 9.667 9.668000000000001 9.669 9.67 9.671 9.672 9.673 9.674 9.675 9.676 9.677 9.678 9.679 9.68 9.681000000000001 9.682 9.683 9.684000000000001 9.685 9.686 9.687 9.688 9.689 9.69 9.691 9.692 9.693 9.694 9.695 9.696 9.697000000000001 9.698 9.699 9.700000000000001 9.701 9.702 9.703 9.704 9.705 9.706 9.707 9.708 9.709 9.71 9.711 9.712 9.713000000000001 9.714 9.715 9.716000000000001 9.717 9.718 9.719 9.72 9.721 9.722 9.723 9.724 9.725 9.726 9.727 9.728 9.729000000000001 9.73 9.731 9.732 9.733 9.734 9.735 9.736 9.737 9.738 9.739 9.74 9.741 9.742 9.743 9.744 9.745000000000001 9.746 9.747 9.748 9.749 9.75 9.751 9.752 9.753 9.754 9.755 9.756 9.757 9.758000000000001 9.759 9.76 9.761000000000001 9.762 9.763 9.764 9.765 9.766 9.767 9.768 9.769 9.77 9.771 9.772 9.773 9.774000000000001 9.775 9.776 9.777000000000001 9.778 9.779

end{sphinxVerbatim}

9.385 9.386000000000001 9.387 9.388 9.389 9.39 9.391 9.392 9.393 9.394 9.395 9.396 9.397 9.398 9.399000000000001 9.4 9.401 9.402000000000001 9.403 9.404 9.405 9.406 9.407 9.408 9.409 9.41 9.411 9.412 9.413 9.414 9.415000000000001 9.416 9.417 9.418000000000001 9.419 9.42 9.421 9.422 9.423 9.424 9.425 9.426 9.427 9.428 9.429 9.43 9.431000000000001 9.432 9.433 9.434000000000001 9.435 9.436 9.437 9.438 9.439 9.44 9.441 9.442 9.443 9.444 9.445 9.446 9.447000000000001 9.448 9.449 9.450000000000001 9.451 9.452 9.453 9.454 9.455 9.456 9.457 9.458 9.459 9.46 9.461 9.462 9.463000000000001 9.464 9.465 9.466000000000001 9.467 9.468 9.469 9.47 9.471 9.472 9.473 9.474 9.475 9.476 9.477 9.478 9.479000000000001 9.48 9.481 9.482 9.483 9.484 9.485 9.486 9.487 9.488 9.489 9.49 9.491 9.492 9.493 9.494 9.495000000000001 9.496 9.497 9.498 9.499 9.5 9.501 9.502 9.503 9.504 9.505 9.506 9.507 9.508000000000001 9.509 9.51 9.511000000000001 9.512 9.513 9.514 9.515 9.516 9.517 9.518 9.519 9.52 9.521 9.522 9.523 9.524000000000001 9.525 9.526 9.527000000000001 9.528 9.529 9.53 9.531 9.532 9.533 9.534 9.535 9.536 9.537 9.538 9.539 9.540000000000001 9.541 9.542 9.543000000000001 9.544 9.545 9.546 9.547 9.548 9.549 9.55 9.551 9.552 9.553 9.554 9.555 9.556000000000001 9.557 9.558 9.559000000000001 9.56 9.561 9.562 9.563 9.564 9.565 9.566 9.567 9.568 9.569 9.57 9.571 9.572000000000001 9.573 9.574 9.575000000000001 9.576 9.577 9.578 9.579 9.58 9.581 9.582 9.583 9.584 9.585 9.586 9.587 9.588000000000001 9.589 9.59 9.591000000000001 9.592 9.593 9.594 9.595 9.596 9.597 9.598 9.599 9.6 9.601 9.602 9.603 9.604000000000001 9.605 9.606 9.607 9.608 9.609 9.61 9.611 9.612 9.613 9.614 9.615 9.616 9.617 9.618 9.619 9.620000000000001 9.621 9.622 9.623 9.624 9.625 9.626 9.627 9.628 9.629 9.63 9.631 9.632 9.633000000000001 9.634 9.635 9.636000000000001 9.637 9.638 9.639 9.64 9.641 9.642 9.643 9.644 9.645 9.646 9.647 9.648 9.649000000000001 9.65 9.651 9.652000000000001 9.653 9.654 9.655 9.656 9.657 9.658 9.659 9.66 9.661 9.662 9.663 9.664 9.665000000000001 9.666 9.667 9.668000000000001 9.669 9.67 9.671 9.672 9.673 9.674 9.675 9.676 9.677 9.678 9.679 9.68 9.681000000000001 9.682 9.683 9.684000000000001 9.685 9.686 9.687 9.688 9.689 9.69 9.691 9.692 9.693 9.694 9.695 9.696 9.697000000000001 9.698 9.699 9.700000000000001 9.701 9.702 9.703 9.704 9.705 9.706 9.707 9.708 9.709 9.71 9.711 9.712 9.713000000000001 9.714 9.715 9.716000000000001 9.717 9.718 9.719 9.72 9.721 9.722 9.723 9.724 9.725 9.726 9.727 9.728 9.729000000000001 9.73 9.731 9.732 9.733 9.734 9.735 9.736 9.737 9.738 9.739 9.74 9.741 9.742 9.743 9.744 9.745000000000001 9.746 9.747 9.748 9.749 9.75 9.751 9.752 9.753 9.754 9.755 9.756 9.757 9.758000000000001 9.759 9.76 9.761000000000001 9.762 9.763 9.764 9.765 9.766 9.767 9.768 9.769 9.77 9.771 9.772 9.773 9.774000000000001 9.775 9.776 9.777000000000001 9.778 9.779

more-to-come:

9.78 9.781 9.782 9.783 9.784 9.785 9.786 9.787 9.788 9.789 9.790000000000001 9.791 9.792 9.793000000000001 9.794 9.795 9.796 9.797 9.798 9.799 9.8 9.801 9.802 9.803 9.804 9.805 9.806000000000001 9.807 9.808 9.809000000000001 9.81 9.811 9.812 9.813 9.814 9.815 9.816 9.817 9.818 9.819 9.82 9.821 9.822000000000001 9.823 9.824 9.825000000000001 9.826 9.827 9.828 9.829 9.83 9.831 9.832 9.833 9.834 9.835 9.836 9.837 9.838000000000001 9.839 9.84 9.841000000000001 9.842 9.843 9.844 9.845 9.846 9.847 9.848 9.849 9.85 9.851 9.852 9.853 9.854000000000001 9.855 9.856 9.857 9.858 9.859 9.86 9.861 9.862 9.863 9.864 9.865 9.866 9.867 9.868 9.869 9.870000000000001 9.871 9.872 9.873 9.874 9.875 9.876 9.877 9.878 9.879 9.88 9.881 9.882 9.883000000000001 9.884 9.885 9.886000000000001 9.887 9.888 9.889 9.89 9.891 9.892 9.893 9.894 9.895 9.896 9.897 9.898 9.899000000000001 9.9 9.901 9.902000000000001 9.903 9.904 9.905 9.906 9.907 9.908 9.909 9.91 9.911 9.912 9.913 9.914 9.915000000000001 9.916 9.917 9.918000000000001 9.919 9.92 9.921 9.922 9.923 9.924 9.925 9.926

</pre>

9.78 9.781 9.782 9.783 9.784 9.785 9.786 9.787 9.788 9.789 9.790000000000001 9.791 9.792 9.793000000000001 9.794 9.795 9.796 9.797 9.798 9.799 9.8 9.801 9.802 9.803 9.804 9.805 9.806000000000001 9.807 9.808 9.809000000000001 9.81 9.811 9.812 9.813 9.814 9.815 9.816 9.817 9.818 9.819 9.82 9.821 9.822000000000001 9.823 9.824 9.825000000000001 9.826 9.827 9.828 9.829 9.83 9.831 9.832 9.833 9.834 9.835 9.836 9.837 9.838000000000001 9.839 9.84 9.841000000000001 9.842 9.843 9.844 9.845 9.846 9.847 9.848 9.849 9.85 9.851 9.852 9.853 9.854000000000001 9.855 9.856 9.857 9.858 9.859 9.86 9.861 9.862 9.863 9.864 9.865 9.866 9.867 9.868 9.869 9.870000000000001 9.871 9.872 9.873 9.874 9.875 9.876 9.877 9.878 9.879 9.88 9.881 9.882 9.883000000000001 9.884 9.885 9.886000000000001 9.887 9.888 9.889 9.89 9.891 9.892 9.893 9.894 9.895 9.896 9.897 9.898 9.899000000000001 9.9 9.901 9.902000000000001 9.903 9.904 9.905 9.906 9.907 9.908 9.909 9.91 9.911 9.912 9.913 9.914 9.915000000000001 9.916 9.917 9.918000000000001 9.919 9.92 9.921 9.922 9.923 9.924 9.925 9.926

end{sphinxVerbatim}

9.78 9.781 9.782 9.783 9.784 9.785 9.786 9.787 9.788 9.789 9.790000000000001 9.791 9.792 9.793000000000001 9.794 9.795 9.796 9.797 9.798 9.799 9.8 9.801 9.802 9.803 9.804 9.805 9.806000000000001 9.807 9.808 9.809000000000001 9.81 9.811 9.812 9.813 9.814 9.815 9.816 9.817 9.818 9.819 9.82 9.821 9.822000000000001 9.823 9.824 9.825000000000001 9.826 9.827 9.828 9.829 9.83 9.831 9.832 9.833 9.834 9.835 9.836 9.837 9.838000000000001 9.839 9.84 9.841000000000001 9.842 9.843 9.844 9.845 9.846 9.847 9.848 9.849 9.85 9.851 9.852 9.853 9.854000000000001 9.855 9.856 9.857 9.858 9.859 9.86 9.861 9.862 9.863 9.864 9.865 9.866 9.867 9.868 9.869 9.870000000000001 9.871 9.872 9.873 9.874 9.875 9.876 9.877 9.878 9.879 9.88 9.881 9.882 9.883000000000001 9.884 9.885 9.886000000000001 9.887 9.888 9.889 9.89 9.891 9.892 9.893 9.894 9.895 9.896 9.897 9.898 9.899000000000001 9.9 9.901 9.902000000000001 9.903 9.904 9.905 9.906 9.907 9.908 9.909 9.91 9.911 9.912 9.913 9.914 9.915000000000001 9.916 9.917 9.918000000000001 9.919 9.92 9.921 9.922 9.923 9.924 9.925 9.926

more-to-come:

9.927 9.928 9.929 9.93 9.931000000000001 9.932 9.933 9.934000000000001 9.935 9.936 9.937 9.938 9.939 9.94 9.941 9.942 9.943 9.944 9.945 9.946 9.947000000000001 9.948 9.949 9.950000000000001 9.951 9.952 9.953 9.954 9.955 9.956 9.957 9.958 9.959 9.96 9.961 9.962 9.963000000000001 9.964 9.965 9.966000000000001 9.967 9.968 9.969 9.97 9.971 9.972 9.973 9.974 9.975 9.976 9.977 9.978 9.979000000000001 9.98 9.981 9.982000000000001 9.983 9.984 9.985 9.986 9.987 9.988 9.989 9.99 9.991 9.992 9.993 9.994 9.995000000000001 9.996 9.997 9.998 9.999

</pre>

9.927 9.928 9.929 9.93 9.931000000000001 9.932 9.933 9.934000000000001 9.935 9.936 9.937 9.938 9.939 9.94 9.941 9.942 9.943 9.944 9.945 9.946 9.947000000000001 9.948 9.949 9.950000000000001 9.951 9.952 9.953 9.954 9.955 9.956 9.957 9.958 9.959 9.96 9.961 9.962 9.963000000000001 9.964 9.965 9.966000000000001 9.967 9.968 9.969 9.97 9.971 9.972 9.973 9.974 9.975 9.976 9.977 9.978 9.979000000000001 9.98 9.981 9.982000000000001 9.983 9.984 9.985 9.986 9.987 9.988 9.989 9.99 9.991 9.992 9.993 9.994 9.995000000000001 9.996 9.997 9.998 9.999

end{sphinxVerbatim}

9.927 9.928 9.929 9.93 9.931000000000001 9.932 9.933 9.934000000000001 9.935 9.936 9.937 9.938 9.939 9.94 9.941 9.942 9.943 9.944 9.945 9.946 9.947000000000001 9.948 9.949 9.950000000000001 9.951 9.952 9.953 9.954 9.955 9.956 9.957 9.958 9.959 9.96 9.961 9.962 9.963000000000001 9.964 9.965 9.966000000000001 9.967 9.968 9.969 9.97 9.971 9.972 9.973 9.974 9.975 9.976 9.977 9.978 9.979000000000001 9.98 9.981 9.982000000000001 9.983 9.984 9.985 9.986 9.987 9.988 9.989 9.99 9.991 9.992 9.993 9.994 9.995000000000001 9.996 9.997 9.998 9.999

CPU times: user 3.93 s, sys: 40.3 ms, total: 3.97 s
Wall time: 7.78 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:

\[u^{n+1} = u^n + \Delta t M^{-1} \sum_{i=0}^{s-1} b_i k_i\]

with

\[k_i = - A u_i \quad \text{ where $u_i$ is the solution to } \quad (M + a_{ii} \Delta t A) u_i = M u^n + \Delta t \sum_{j=0}^{i-1} a_{ij} k_j, \quad i=0,..,s-1.\]

The coefficients a,b and c are stored in the butcher tableau:

\[\begin{split}\begin{array}{c|cccc} c_0 & a_{00} & 0 & \ddots& \\ c_1 & a_{10} & a_{11} & 0 & \ddots \\ \vdots & \vdots & \vdots & \ddots & 0\\ c_{s-1} & a_{s-1,0} & a_{s-1,1} & \dots& a_{s-1,s-1} \\ \hline & b_{0} & b_1 & \dots& b_{s-1} \\ \end{array}\end{split}\]

For an SDIRK method we have \(a^\ast = a_{ii},~i=0,..,s-1\).

Simplest example: Implicit Euler

\[\begin{split}\begin{array}{c|c} 1 & 1 \\ \hline & 1 \\ \end{array}\end{split}\]
[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

\[\begin{split}\begin{array}{c|cc} p & p & 0 \\ 1-p & 1-2p & p \\ \hline & 1/2 & 1/2 \\ \end{array}\end{split}\]

with \(p = \frac{3 - \sqrt{3}}{6}\).

[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

\[\begin{split}\begin{array}{c|cccc} 1/4 & 1/4 \\ 3/4 & 1/2 & 1/4 & \\ 11/20 & 17/50 & -1/25 & 1/4 \\ 1/2 & 371/1360 & -137/2720 & 15/544 & 1/4 \\ 1 & 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\ \hline & 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\ \end{array}\end{split}\]
[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)
more-to-come:

0 0.25 0.5 0.75 1.0 1.25 1.5 1.75 2.0 2.25 2.5 2.75 3.0 3.25 3.5 3.75 4.0 4.25 4.5 4.75 5.0 5.25 5.5 5.75 6.0 6.25

</pre>

0 0.25 0.5 0.75 1.0 1.25 1.5 1.75 2.0 2.25 2.5 2.75 3.0 3.25 3.5 3.75 4.0 4.25 4.5 4.75 5.0 5.25 5.5 5.75 6.0 6.25

end{sphinxVerbatim}

0 0.25 0.5 0.75 1.0 1.25 1.5 1.75 2.0 2.25 2.5 2.75 3.0 3.25 3.5 3.75 4.0 4.25 4.5 4.75 5.0 5.25 5.5 5.75 6.0 6.25

more-to-come:

6.5 6.75 7.0 7.25 7.5 7.75 8.0 8.25 8.5 8.75 9.0 9.25 9.5 9.75

</pre>

6.5 6.75 7.0 7.25 7.5 7.75 8.0 8.25 8.5 8.75 9.0 9.25 9.5 9.75

end{sphinxVerbatim}

6.5 6.75 7.0 7.25 7.5 7.75 8.0 8.25 8.5 8.75 9.0 9.25 9.5 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, …)