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[1D] Better initial grid for CounterflowPremixedFlame

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This commit is contained in:
Ray Speth 2015-12-04 19:33:51 -05:00
parent a9293c3168
commit f0a1e25cd9
6 changed files with 96 additions and 77 deletions
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2
doc/sphinx/cython/onedim.rst
View file

@ -25,7 +25,7 @@ CounterflowDiffusionFlame
CounterflowPremixedFlame
^^^^^^^^^^^^^^^^^^^^^^^^
.. autoclass:: CounterflowPremixedFlame(gas, grid=None)
.. autoclass:: CounterflowPremixedFlame(gas, grid=None, width=None)
ImpingingJet
^^^^^^^^^^^^

2
interfaces/cython/cantera/examples/kinetics/extract_submechanism.py
View file

@ -58,7 +58,7 @@ def solve_flame(gas):
gas.TPX = 373, 0.05*ct.one_atm, 'H2:0.4, CO:0.6, O2:1, N2:3.76'
# Create the flame simulation object
sim = ct.CounterflowPremixedFlame(gas=gas, grid=np.linspace(0.0, 0.2, 10))
sim = ct.CounterflowPremixedFlame(gas=gas, width=0.2)
sim.reactants.mdot = 0.12 # kg/m^2/s
sim.products.mdot = 0.06 # kg/m^2/s

4
interfaces/cython/cantera/examples/onedim/premixed_counterflow_flame.py
View file

@ -17,7 +17,7 @@ mdot_products = 0.06 # kg/m^2/s
rxnmech = 'h2o2.cti' # reaction mechanism file
comp = 'H2:1.6, O2:1, AR:7' # premixed gas composition
initial_grid = np.linspace(0.0, 0.2, 12) # m
width = 0.2 # m
tol_ss = [1.0e-7, 1.0e-13] # [rtol atol] for steady-state problem
tol_ts = [1.0e-7, 1.0e-11] # [rtol atol] for time stepping
loglevel = 1 # amount of diagnostic output (0 to 5)
@ -35,7 +35,7 @@ gas = ct.Solution(rxnmech)
gas.TPX = T_in, p, comp
# Create the flame simulation object
sim = ct.CounterflowPremixedFlame(gas=gas, grid=initial_grid)
sim = ct.CounterflowPremixedFlame(gas=gas, width=width)
# set the boundary flow rates
sim.reactants.mdot = mdot_reactants

12
interfaces/cython/cantera/onedim.py
View file

@ -834,13 +834,17 @@ class CounterflowPremixedFlame(FlameBase):
""" A premixed counterflow flame """
__slots__ = ('reactants', 'flame', 'products')
def __init__(self, gas, grid=None):
def __init__(self, gas, grid=None, width=None):
"""
:param gas:
`Solution` (using the IdealGas thermodynamic model) used to
evaluate all gas properties and reaction rates.
:param grid:
Array of initial grid points
Array of initial grid points. Not recommended unless solving only on
a fixed grid; Use the `width` parameter instead.
:param width:
Defines a grid on the interval [0, width] with internal points
determined automatically by the solver.
A domain of class `AxisymmetricStagnationFlow` named ``flame`` will
be created to represent the flame. The three domains comprising the
@ -855,6 +859,10 @@ class CounterflowPremixedFlame(FlameBase):
self.flame = AxisymmetricStagnationFlow(gas, name='flame')
if width is not None:
# Create grid points aligned with initial guess profile
grid = np.array([0.0, 0.3, 0.5, 0.7, 1.0]) * width
super(CounterflowPremixedFlame, self).__init__(
(self.reactants, self.flame, self.products), gas, grid)

4
interfaces/cython/cantera/test/test_onedim.py
View file

@ -533,9 +533,9 @@ class TestCounterflowPremixedFlame(utilities.CanteraTest):
gas = ct.Solution('h2o2.xml')
gas.TPX = T_in, 0.05 * ct.one_atm, comp
initial_grid = np.linspace(0.0, 0.2, 12) # m
width = 0.2 # m
sim = ct.CounterflowPremixedFlame(gas=gas, grid=initial_grid)
sim = ct.CounterflowPremixedFlame(gas=gas, width=width)
# set the properties at the inlets
sim.reactants.mdot = 0.12 # kg/m^2/s

149
test/data/CounterflowPremixedFlame-h2-mix.csv
View file

@ -1,69 +1,80 @@
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1.318182e-01, -2.151293e+00, 5.129255e+01, 2.032708e+03, 4.208641e-04, 8.548663e-05, 9.778178e-04, 1.951678e-02, 3.536797e-03, 8.726969e-02, 3.383589e-07, 1.171697e-08, 8.881922e-01
1.363636e-01, -2.611111e+00, 4.805203e+01, 2.043078e+03, 3.557252e-04, 6.527429e-05, 8.173219e-04, 1.944735e-02, 3.279296e-03, 8.790144e-02, 3.425499e-07, 1.146500e-08, 8.881332e-01
1.454545e-01, -3.427263e+00, 4.127737e+01, 2.051167e+03, 2.554731e-04, 3.928639e-05, 5.862687e-04, 1.960632e-02, 2.811257e-03, 8.862630e-02, 3.520974e-07, 1.142800e-08, 8.880747e-01
1.545455e-01, -4.113388e+00, 3.441273e+01, 2.053573e+03, 1.934569e-04, 2.587491e-05, 4.472156e-04, 1.983603e-02, 2.465837e-03, 8.895856e-02, 3.627709e-07, 1.170902e-08, 8.880726e-01
1.636364e-01, -4.673889e+00, 2.753185e+01, 2.054319e+03, 1.595405e-04, 1.942428e-05, 3.717659e-04, 2.000717e-02, 2.251902e-03, 8.909994e-02, 3.719577e-07, 1.205904e-08, 8.880899e-01
1.727273e-01, -5.110103e+00, 2.064892e+01, 2.054579e+03, 1.426244e-04, 1.645764e-05, 3.342942e-04, 2.010583e-02, 2.136878e-03, 8.915717e-02, 3.779944e-07, 1.232117e-08, 8.881064e-01
1.818182e-01, -5.421986e+00, 1.376591e+01, 2.054680e+03, 1.347184e-04, 1.513179e-05, 3.168360e-04, 2.015531e-02, 2.080961e-03, 8.917973e-02, 3.812537e-07, 1.247086e-08, 8.881169e-01
1.909091e-01, -5.609229e+00, 6.882952e+00, 2.054722e+03, 1.311903e-04, 1.455100e-05, 3.089726e-04, 2.017860e-02, 2.055211e-03, 8.918857e-02, 3.828410e-07, 1.254538e-08, 8.881225e-01
2.000000e-01, -5.671618e+00, 0.000000e+00, 2.054755e+03, 1.296514e-04, 1.436274e-05, 3.044825e-04, 2.019292e-02, 2.040317e-03, 8.919291e-02, 3.838616e-07, 1.259442e-08, 8.881250e-01
0.000000e+00, 2.239706e+00, 5.838618e-20, 3.730000e+02, 1.024394e-02, 3.959277e-20, -1.248101e-18, 1.016286e-01, -6.843381e-19, -6.312648e-20, 1.697490e-18, -9.322728e-19, 8.881275e-01
3.750000e-03, 2.234414e+00, 1.411156e+00, 3.730000e+02, 1.024394e-02, 2.380737e-20, -1.197901e-18, 1.016286e-01, -9.441175e-20, -7.403305e-19, 1.457505e-17, -9.321148e-19, 8.881275e-01
7.500000e-03, 2.218539e+00, 2.822311e+00, 3.730000e+02, 1.024394e-02, 2.662339e-19, -1.067723e-18, 1.016286e-01, -1.666492e-20, -7.689160e-19, 1.493843e-16, -9.316139e-19, 8.881275e-01
1.125000e-02, 2.192080e+00, 4.233467e+00, 3.730000e+02, 1.024394e-02, 3.266110e-18, -2.052477e-19, 1.016286e-01, -2.369266e-21, 2.925458e-19, 1.520016e-15, -9.266375e-19, 8.881275e-01
1.500000e-02, 2.155037e+00, 5.644622e+00, 3.730000e+02, 1.024394e-02, 3.983519e-17, 7.220296e-18, 1.016286e-01, 3.597684e-20, 1.269711e-17, 1.431242e-14, -8.615362e-19, 8.881275e-01
1.687500e-02, 2.132547e+00, 6.350200e+00, 3.730000e+02, 1.024394e-02, 2.111337e-16, 3.263344e-17, 1.016286e-01, 1.640161e-19, 6.578686e-17, 5.379637e-14, -5.310704e-19, 8.881275e-01
1.875000e-02, 2.107410e+00, 7.055778e+00, 3.730000e+02, 1.024394e-02, 9.953724e-16, 1.550006e-16, 1.016286e-01, 7.796280e-19, 3.865887e-16, 2.415444e-13, 1.797608e-18, 8.881275e-01
2.062500e-02, 2.079628e+00, 7.761355e+00, 3.730000e+02, 1.024394e-02, 4.637178e-15, 7.386950e-16, 1.016286e-01, 3.723093e-18, 2.310186e-15, 1.124618e-12, 1.804166e-17, 8.881275e-01
2.250000e-02, 2.049200e+00, 8.466933e+00, 3.730000e+02, 1.024394e-02, 2.153342e-14, 3.494538e-15, 1.016286e-01, 1.778850e-17, 1.373641e-14, 5.227849e-12, 1.300621e-16, 8.881275e-01
2.437500e-02, 2.016126e+00, 9.172511e+00, 3.730000e+02, 1.024393e-02, 9.972657e-14, 1.635966e-14, 1.016286e-01, 8.643917e-17, 8.086627e-14, 2.394798e-11, 8.926809e-16, 8.881275e-01
2.625000e-02, 1.980406e+00, 9.878088e+00, 3.730000e+02, 1.024393e-02, 4.605508e-13, 7.567586e-14, 1.016286e-01, 4.517520e-16, 4.703191e-13, 1.069896e-10, 6.008798e-15, 8.881275e-01
2.812500e-02, 1.942040e+00, 1.058367e+01, 3.730000e+02, 1.024391e-02, 2.120379e-12, 3.454608e-13, 1.016286e-01, 2.852229e-15, 2.697440e-12, 4.593881e-10, 3.973291e-14, 8.881275e-01
3.000000e-02, 1.901027e+00, 1.128924e+01, 3.730000e+02, 1.024387e-02, 9.730001e-12, 1.554364e-12, 1.016286e-01, 2.368405e-14, 1.522302e-11, 1.847150e-09, 2.569490e-13, 8.881275e-01
3.093750e-02, 1.879528e+00, 1.164203e+01, 3.730001e+02, 1.024383e-02, 2.371627e-11, 3.703825e-12, 1.016286e-01, 1.041399e-13, 4.268345e-11, 3.792871e-09, 7.912570e-13, 8.881275e-01
3.187500e-02, 1.857367e+00, 1.199482e+01, 3.730002e+02, 1.024376e-02, 5.624442e-11, 9.446272e-12, 1.016286e-01, 4.871515e-13, 1.313983e-10, 8.394500e-09, 2.711701e-12, 8.881276e-01
3.281250e-02, 1.834544e+00, 1.234761e+01, 3.730004e+02, 1.024364e-02, 1.322914e-10, 2.466292e-11, 1.016287e-01, 2.351040e-12, 4.148520e-10, 1.911864e-08, 9.505043e-12, 8.881277e-01
3.375000e-02, 1.811058e+00, 1.270040e+01, 3.730010e+02, 1.024343e-02, 3.100540e-10, 6.464008e-11, 1.016287e-01, 1.132540e-11, 1.308562e-09, 4.364554e-08, 3.301288e-11, 8.881278e-01
3.468750e-02, 1.786911e+00, 1.305319e+01, 3.730023e+02, 1.024308e-02, 7.248414e-10, 1.686555e-10, 1.016287e-01, 5.314324e-11, 4.080462e-09, 9.817526e-08, 1.119090e-10, 8.881281e-01
3.562500e-02, 1.762103e+00, 1.340598e+01, 3.730052e+02, 1.024248e-02, 1.690244e-09, 4.361302e-10, 1.016288e-01, 2.376441e-10, 1.250156e-08, 2.139968e-07, 3.655386e-10, 8.881285e-01
3.609375e-02, 1.749453e+00, 1.358237e+01, 3.730079e+02, 1.024203e-02, 2.650888e-09, 7.235673e-10, 1.016288e-01, 5.418046e-10, 2.290123e-08, 3.135993e-07, 6.851816e-10, 8.881288e-01
3.656250e-02, 1.736641e+00, 1.375877e+01, 3.730124e+02, 1.024142e-02, 4.149964e-09, 1.228510e-09, 1.016288e-01, 1.239151e-09, 4.347212e-08, 4.670454e-07, 1.337103e-09, 8.881292e-01
3.703125e-02, 1.723672e+00, 1.393517e+01, 3.730195e+02, 1.024062e-02, 6.485870e-09, 2.109660e-09, 1.016288e-01, 2.821359e-09, 8.377753e-08, 7.009768e-07, 2.649350e-09, 8.881298e-01
3.750000e-02, 1.710549e+00, 1.411157e+01, 3.730310e+02, 1.023954e-02, 1.011849e-08, 3.635488e-09, 1.016287e-01, 6.358482e-09, 1.618988e-07, 1.052883e-06, 5.244594e-09, 8.881305e-01
3.796875e-02, 1.697285e+00, 1.428798e+01, 3.730495e+02, 1.023811e-02, 1.575329e-08, 6.253734e-09, 1.016285e-01, 1.411527e-08, 3.114687e-07, 1.573338e-06, 1.026391e-08, 8.881314e-01
3.843750e-02, 1.683893e+00, 1.446440e+01, 3.730792e+02, 1.023621e-02, 2.446662e-08, 1.069825e-08, 1.016281e-01, 3.072684e-08, 5.938988e-07, 2.326642e-06, 1.970823e-08, 8.881327e-01
3.890625e-02, 1.670400e+00, 1.464084e+01, 3.731266e+02, 1.023369e-02, 3.789142e-08, 1.814690e-08, 1.016274e-01, 6.530914e-08, 1.119010e-06, 3.387618e-06, 3.689659e-08, 8.881342e-01
3.937500e-02, 1.656845e+00, 1.481731e+01, 3.732021e+02, 1.023037e-02, 5.849201e-08, 3.044361e-08, 1.016262e-01, 1.349731e-07, 2.078678e-06, 4.831492e-06, 6.695717e-08, 8.881363e-01
3.984375e-02, 1.643292e+00, 1.499382e+01, 3.733214e+02, 1.022601e-02, 8.997320e-08, 5.039260e-08, 1.016241e-01, 2.701530e-07, 3.799662e-06, 6.713747e-06, 1.171140e-07, 8.881388e-01
4.031250e-02, 1.629835e+00, 1.517042e+01, 3.735085e+02, 1.022029e-02, 1.378973e-07, 8.212114e-08, 1.016209e-01, 5.217824e-07, 6.823308e-06, 9.039488e-06, 1.963526e-07, 8.881421e-01
4.078125e-02, 1.616618e+00, 1.534713e+01, 3.737993e+02, 1.021282e-02, 2.106273e-07, 1.314908e-07, 1.016158e-01, 9.695610e-07, 1.202124e-05, 1.172853e-05, 3.140172e-07, 8.881460e-01
4.125000e-02, 1.603848e+00, 1.552405e+01, 3.742459e+02, 1.020311e-02, 3.207756e-07, 2.065199e-07, 1.016079e-01, 1.729560e-06, 2.075859e-05, 1.459273e-05, 4.772977e-07, 8.881509e-01
4.171875e-02, 1.591821e+00, 1.570126e+01, 3.749233e+02, 1.019057e-02, 4.873954e-07, 3.177701e-07, 1.015957e-01, 2.958889e-06, 3.512326e-05, 1.734898e-05, 6.885525e-07, 8.881568e-01
4.218750e-02, 1.580949e+00, 1.587896e+01, 3.759358e+02, 1.017445e-02, 7.391728e-07, 4.786736e-07, 1.015769e-01, 4.856194e-06, 5.825698e-05, 1.968110e-05, 9.444430e-07, 8.881637e-01
4.312500e-02, 1.564311e+00, 1.623644e+01, 3.793947e+02, 1.012902e-02, 1.622832e-06, 9.975274e-07, 1.015074e-01, 1.135069e-05, 1.445647e-04, 2.226301e-05, 1.569466e-06, 8.881812e-01
4.406250e-02, 1.557184e+00, 1.659758e+01, 3.855155e+02, 1.006061e-02, 3.491292e-06, 1.852125e-06, 1.013751e-01, 2.296809e-05, 3.072668e-04, 2.281008e-05, 2.298505e-06, 8.882036e-01
4.453125e-02, 1.558864e+00, 1.678018e+01, 3.900408e+02, 1.001426e-02, 5.171435e-06, 2.452002e-06, 1.012716e-01, 3.155572e-05, 4.329146e-04, 2.267370e-05, 2.711119e-06, 8.882166e-01
4.500000e-02, 1.565769e+00, 1.696501e+01, 3.960097e+02, 9.957639e-03, 7.595266e-06, 3.201417e-06, 1.011271e-01, 4.225000e-05, 6.063558e-04, 2.227734e-05, 3.162465e-06, 8.882304e-01
4.593750e-02, 1.597910e+00, 1.734259e+01, 4.130824e+02, 9.811420e-03, 1.536710e-05, 5.136634e-06, 1.006862e-01, 6.807072e-05, 1.129176e-03, 2.080834e-05, 4.113841e-06, 8.882597e-01
4.640625e-02, 1.622623e+00, 1.753520e+01, 4.241480e+02, 9.718199e-03, 2.164977e-05, 6.320546e-06, 1.003885e-01, 8.232559e-05, 1.484269e-03, 1.985582e-05, 4.505048e-06, 8.882744e-01
4.687500e-02, 1.654412e+00, 1.773132e+01, 4.372960e+02, 9.609820e-03, 2.999540e-05, 7.659939e-06, 1.000224e-01, 9.619093e-05, 1.922228e-03, 1.873644e-05, 4.751605e-06, 8.882882e-01
4.734375e-02, 1.693122e+00, 1.793122e+01, 4.525342e+02, 9.485378e-03, 4.081275e-05, 9.161034e-06, 9.958518e-02, 1.083865e-04, 2.448722e-03, 1.749687e-05, 4.789390e-06, 8.883001e-01
4.781250e-02, 1.738298e+00, 1.813507e+01, 4.697891e+02, 9.344147e-03, 5.449366e-05, 1.087161e-05, 9.907616e-02, 1.179313e-04, 3.066710e-03, 1.619295e-05, 4.586631e-06, 8.883089e-01
4.828125e-02, 1.789266e+00, 1.834298e+01, 4.889231e+02, 9.185516e-03, 7.139639e-05, 1.292357e-05, 9.849645e-02, 1.243167e-04, 3.777306e-03, 1.488021e-05, 4.156856e-06, 8.883131e-01
4.875000e-02, 1.845224e+00, 1.855500e+01, 5.097592e+02, 9.008917e-03, 9.183786e-05, 1.560201e-05, 9.784718e-02, 1.275547e-04, 4.581451e-03, 1.360605e-05, 3.556044e-06, 8.883103e-01
4.921875e-02, 1.905344e+00, 1.877111e+01, 5.321041e+02, 8.813755e-03, 1.160935e-04, 1.945333e-05, 9.712752e-02, 1.280946e-04, 5.482130e-03, 1.240522e-05, 2.866703e-06, 8.882977e-01
4.968750e-02, 1.968839e+00, 1.899129e+01, 5.557678e+02, 8.599351e-03, 1.444015e-04, 2.543902e-05, 9.633222e-02, 1.266739e-04, 6.486832e-03, 1.129906e-05, 2.176030e-06, 8.882716e-01
5.015625e-02, 2.035009e+00, 1.921552e+01, 5.805750e+02, 8.364923e-03, 1.769662e-04, 3.512746e-05, 9.544889e-02, 1.241850e-04, 7.609931e-03, 1.029743e-05, 1.555965e-06, 8.882281e-01
5.062500e-02, 2.103259e+00, 1.944383e+01, 6.063701e+02, 8.109617e-03, 2.139585e-04, 5.090202e-05, 9.445503e-02, 1.216158e-04, 8.874754e-03, 9.401541e-06, 1.050944e-06, 8.881637e-01
5.156250e-02, 2.244468e+00, 1.991274e+01, 6.604627e+02, 7.547462e-03, 2.994259e-04, 1.091629e-04, 9.209027e-02, 1.196563e-04, 1.185173e-02, 7.899129e-06, 4.389765e-07, 8.879740e-01
5.250000e-02, 2.388064e+00, 2.039436e+01, 7.167817e+02, 6.903637e-03, 4.018127e-04, 2.248045e-04, 8.900419e-02, 1.311178e-04, 1.562025e-02, 6.732536e-06, 1.732531e-07, 8.877073e-01
5.343750e-02, 2.532014e+00, 2.088741e+01, 7.745944e+02, 6.180755e-03, 5.195698e-04, 4.204890e-04, 8.490282e-02, 1.665681e-04, 2.040712e-02, 5.816268e-06, 8.667230e-08, 8.873968e-01
5.437500e-02, 2.673663e+00, 2.139049e+01, 8.328985e+02, 5.395104e-03, 6.483084e-04, 7.062175e-04, 7.959909e-02, 2.357770e-04, 2.630327e-02, 5.070462e-06, 7.148718e-08, 8.871071e-01
5.531250e-02, 2.809108e+00, 2.190212e+01, 8.902740e+02, 4.581072e-03, 7.801718e-04, 1.072784e-03, 7.317635e-02, 3.433115e-04, 3.312951e-02, 4.430953e-06, 8.196246e-08, 8.869123e-01
5.625000e-02, 2.933501e+00, 2.242083e+01, 9.450173e+02, 3.787966e-03, 9.048010e-04, 1.492167e-03, 6.605645e-02, 4.842629e-04, 4.040975e-02, 3.859539e-06, 1.015672e-07, 8.868606e-01
5.718750e-02, 3.042271e+00, 2.294529e+01, 9.955395e+02, 3.067593e-03, 1.012054e-03, 1.925397e-03, 5.888909e-02, 6.445644e-04, 4.750691e-02, 3.346253e-06, 1.228322e-07, 8.869509e-01
5.812500e-02, 3.132455e+00, 2.347440e+01, 1.040787e+03, 2.458573e-03, 1.095072e-03, 2.334772e-03, 5.231507e-02, 8.072598e-04, 5.384740e-02, 2.898614e-06, 1.415570e-07, 8.871388e-01
5.906250e-02, 3.203327e+00, 2.400734e+01, 1.080436e+03, 1.976905e-03, 1.151820e-03, 2.693820e-03, 4.676297e-02, 9.599235e-04, 5.908792e-02, 2.525811e-06, 1.561391e-07, 8.873640e-01
6.000000e-02, 3.255978e+00, 2.454349e+01, 1.114758e+03, 1.616806e-03, 1.184542e-03, 2.990244e-03, 4.238568e-02, 1.097534e-03, 6.314793e-02, 2.229185e-06, 1.669581e-07, 8.875749e-01
6.250000e-02, 3.320017e+00, 2.599251e+01, 1.183708e+03, 1.154181e-03, 1.179635e-03, 3.458857e-03, 3.616418e-02, 1.388584e-03, 6.878224e-02, 1.762302e-06, 1.850951e-07, 8.878704e-01
6.500000e-02, 3.324594e+00, 2.745928e+01, 1.236346e+03, 9.967960e-04, 1.123390e-03, 3.663508e-03, 3.339841e-02, 1.629822e-03, 7.120073e-02, 1.513088e-06, 1.955487e-07, 8.879856e-01
7.000000e-02, 3.223801e+00, 3.045611e+01, 1.313963e+03, 9.577871e-04, 9.867347e-04, 3.712073e-03, 3.144631e-02, 2.004515e-03, 7.286846e-02, 1.264218e-06, 1.968900e-07, 8.880227e-01
8.000000e-02, 2.785350e+00, 3.670617e+01, 1.426760e+03, 9.449458e-04, 7.709421e-04, 3.500292e-03, 2.947375e-02, 2.542534e-03, 7.473818e-02, 1.001103e-06, 1.565191e-07, 8.880282e-01
9.000000e-02, 2.143944e+00, 4.333250e+01, 1.528302e+03, 9.019251e-04, 5.926510e-04, 3.156350e-03, 2.784009e-02, 2.981191e-03, 7.652513e-02, 8.162447e-07, 1.042230e-07, 8.880017e-01
1.000000e-01, 1.331706e+00, 5.043328e+01, 1.648174e+03, 8.359362e-04, 4.307438e-04, 2.719080e-03, 2.597410e-02, 3.437760e-03, 7.861842e-02, 6.373739e-07, 5.814889e-08, 8.879833e-01
1.100000e-01, 3.351713e-01, 5.703114e+01, 1.811357e+03, 7.481984e-04, 2.843435e-04, 2.175354e-03, 2.338209e-02, 3.948081e-03, 8.132018e-02, 4.490317e-07, 2.677939e-08, 8.881413e-01
1.150000e-01, -2.391662e-01, 5.825969e+01, 1.891869e+03, 6.855283e-04, 2.213600e-04, 1.859938e-03, 2.198915e-02, 4.072985e-03, 8.291615e-02, 3.825077e-07, 1.895870e-08, 8.882545e-01
1.200000e-01, -8.355162e-01, 5.755104e+01, 1.957558e+03, 6.098843e-04, 1.682653e-04, 1.548745e-03, 2.079745e-02, 4.045066e-03, 8.451889e-02, 3.471351e-07, 1.474189e-08, 8.883113e-01
1.225000e-01, -1.132251e+00, 5.660577e+01, 1.982295e+03, 5.683946e-04, 1.456482e-04, 1.403519e-03, 2.034407e-02, 3.973143e-03, 8.525822e-02, 3.395386e-07, 1.354273e-08, 8.883066e-01
1.250000e-01, -1.423305e+00, 5.535353e+01, 2.001744e+03, 5.259157e-04, 1.256424e-04, 1.268744e-03, 1.999620e-02, 3.871603e-03, 8.592810e-02, 3.363597e-07, 1.273608e-08, 8.882834e-01
1.300000e-01, -1.979931e+00, 5.226171e+01, 2.027721e+03, 4.421446e-04, 9.280990e-05, 1.033214e-03, 1.957861e-02, 3.612212e-03, 8.703118e-02, 3.371532e-07, 1.185086e-08, 8.882095e-01
1.350000e-01, -2.496203e+00, 4.877353e+01, 2.041613e+03, 3.660768e-04, 6.831427e-05, 8.420815e-04, 1.944597e-02, 3.322151e-03, 8.781731e-02, 3.416572e-07, 1.149187e-08, 8.881377e-01
1.400000e-01, -2.970190e+00, 4.511040e+01, 2.048372e+03, 3.021931e-04, 5.068813e-05, 6.919746e-04, 1.948859e-02, 3.040786e-03, 8.833523e-02, 3.470195e-07, 1.139236e-08, 8.880902e-01
1.475000e-01, -3.605013e+00, 3.950518e+01, 2.052398e+03, 2.309023e-04, 3.371523e-05, 5.306282e-04, 1.967945e-02, 2.680059e-03, 8.877939e-02, 3.557344e-07, 1.150243e-08, 8.880655e-01
1.550000e-01, -4.153059e+00, 3.386744e+01, 2.053806e+03, 1.852420e-04, 2.424684e-05, 4.287227e-04, 1.987254e-02, 2.415442e-03, 8.900085e-02, 3.647415e-07, 1.177831e-08, 8.880726e-01
1.625000e-01, -4.616513e+00, 2.822340e+01, 2.054336e+03, 1.584083e-04, 1.921713e-05, 3.691436e-04, 2.001318e-02, 2.244044e-03, 8.910623e-02, 3.723398e-07, 1.207520e-08, 8.880894e-01
1.700000e-01, -4.995982e+00, 2.257861e+01, 2.054559e+03, 1.436708e-04, 1.663431e-05, 3.365427e-04, 2.009955e-02, 2.143939e-03, 8.915473e-02, 3.775918e-07, 1.230317e-08, 8.881045e-01
1.775000e-01, -5.291408e+00, 1.693389e+01, 2.054661e+03, 1.359780e-04, 1.533964e-05, 3.195841e-04, 2.014735e-02, 2.089852e-03, 8.917665e-02, 3.807154e-07, 1.244586e-08, 8.881149e-01
1.850000e-01, -5.502583e+00, 1.128924e+01, 2.054709e+03, 1.321072e-04, 1.470238e-05, 3.110664e-04, 2.017218e-02, 2.062121e-03, 8.918651e-02, 3.824017e-07, 1.252483e-08, 8.881209e-01
1.925000e-01, -5.629332e+00, 5.644618e+00, 2.054733e+03, 1.302173e-04, 1.439315e-05, 3.068403e-04, 2.018487e-02, 2.048186e-03, 8.919094e-02, 3.832793e-07, 1.256625e-08, 8.881242e-01
2.000000e-01, -5.671563e+00, 0.000000e+00, 2.054755e+03, 1.293025e-04, 1.428456e-05, 3.040909e-04, 2.019372e-02, 2.039052e-03, 8.919353e-02, 3.839153e-07, 1.259694e-08, 8.881256e-01

1 0.000000e+00 2.239706e+00 -2.038107e-20 5.838618e-20 3.730000e+02 1.024394e-02 3.020569e-20 3.959277e-20 0.000000e+00 -1.248101e-18 1.016286e-01 0.000000e+00 -6.843381e-19 0.000000e+00 -6.312648e-20 8.650636e-18 1.697490e-18 0.000000e+00 -9.322728e-19 8.881275e-01
2 4.545455e-03 3.750000e-03 2.231885e+00 2.234414e+00 1.720739e+00 1.411156e+00 3.730000e+02 1.024394e-02 1.642033e-19 2.380737e-20 1.987247e-19 -1.197901e-18 1.016286e-01 0.000000e+00 -9.441175e-20 0.000000e+00 -7.403305e-19 1.389211e-16 1.457505e-17 0.000000e+00 -9.321148e-19 8.881275e-01
3 9.090909e-03 7.500000e-03 2.208420e+00 2.218539e+00 3.441479e+00 2.822311e+00 3.730000e+02 1.024394e-02 2.729606e-18 2.662339e-19 2.885721e-18 -1.067723e-18 1.016286e-01 8.445508e-21 -1.666492e-20 6.050691e-18 -7.689160e-19 1.847098e-15 1.493843e-16 0.000000e+00 -9.316139e-19 8.881275e-01
4 1.363636e-02 1.125000e-02 2.169312e+00 2.192080e+00 5.162218e+00 4.233467e+00 3.730000e+02 1.024394e-02 4.536591e-17 3.266110e-18 3.186842e-17 -2.052477e-19 1.016286e-01 1.546036e-19 -2.369266e-21 8.881141e-17 2.925458e-19 2.255017e-14 1.520016e-15 1.868807e-19 -9.266375e-19 8.881275e-01
5 1.590909e-02 1.500000e-02 2.143892e+00 2.155037e+00 6.022588e+00 5.644622e+00 3.730000e+02 1.024394e-02 3.157559e-16 3.983519e-17 1.510081e-16 7.220296e-18 1.016286e-01 7.376542e-19 3.597684e-20 5.139449e-16 1.269711e-17 1.058000e-13 1.431242e-14 3.468188e-18 -8.615362e-19 8.881275e-01
6 1.818182e-02 1.687500e-02 2.114562e+00 2.132547e+00 6.882957e+00 6.350200e+00 3.730000e+02 1.024394e-02 1.886427e-15 2.111337e-16 8.266802e-16 3.263344e-17 1.016286e-01 4.048167e-18 1.640161e-19 3.562243e-15 6.578686e-17 6.029513e-13 5.379637e-14 3.092299e-17 -5.310704e-19 8.881275e-01
7 2.045455e-02 1.875000e-02 2.081320e+00 2.107410e+00 7.743327e+00 7.055778e+00 3.730000e+02 1.024394e-02 1.114616e-14 9.953724e-16 4.613605e-15 1.550006e-16 1.016286e-01 2.272126e-17 7.796280e-19 2.519777e-14 3.865887e-16 3.521625e-12 2.415444e-13 2.578733e-16 1.797608e-18 8.881275e-01
8 2.272727e-02 2.062500e-02 2.044168e+00 2.079628e+00 8.603697e+00 7.761355e+00 3.730000e+02 1.024393e-02 1.024394e-02 6.564155e-14 4.637178e-15 2.556857e-14 7.386950e-16 1.016286e-01 1.287106e-16 3.723093e-18 1.768545e-13 2.310186e-15 2.028171e-11 1.124618e-12 2.107874e-15 1.804166e-17 8.881275e-01
9 2.500000e-02 2.250000e-02 2.003104e+00 2.049200e+00 9.464066e+00 8.466933e+00 3.730000e+02 1.024393e-02 1.024394e-02 3.853651e-13 2.153342e-14 1.398711e-13 3.494538e-15 1.016286e-01 7.681300e-16 1.778850e-17 1.224492e-12 1.373641e-14 1.133918e-10 5.227849e-12 1.694745e-14 1.300621e-16 8.881275e-01
10 2.727273e-02 2.437500e-02 1.958130e+00 2.016126e+00 1.032444e+01 9.172511e+00 3.730000e+02 1.024390e-02 1.024393e-02 2.254607e-12 9.972657e-14 7.534044e-13 1.635966e-14 1.016286e-01 5.547064e-15 8.643917e-17 8.340341e-12 8.086627e-14 6.048615e-10 2.394798e-11 1.337417e-13 8.926809e-16 8.881275e-01
11 2.954545e-02 2.625000e-02 1.909244e+00 1.980406e+00 1.118481e+01 9.878088e+00 3.730001e+02 3.730000e+02 1.024385e-02 1.024393e-02 1.314073e-11 4.605508e-13 3.988001e-12 7.567586e-14 1.016286e-01 5.741595e-14 4.517520e-16 5.573372e-11 4.703191e-13 2.987688e-09 1.069896e-10 1.030866e-12 6.008798e-15 8.881275e-01
12 3.068182e-02 2.812500e-02 1.883333e+00 1.942040e+00 1.161499e+01 1.058367e+01 3.730002e+02 3.730000e+02 1.024378e-02 1.024391e-02 3.817451e-11 2.120379e-12 1.065975e-11 3.454608e-13 1.016286e-01 3.282509e-13 2.852229e-15 1.772660e-10 2.697440e-12 6.958216e-09 4.593881e-10 3.635504e-12 3.973291e-14 8.881276e-01 8.881275e-01
13 3.181818e-02 3.000000e-02 1.856445e+00 1.901027e+00 1.204517e+01 1.128924e+01 3.730005e+02 3.730000e+02 1.024365e-02 1.024387e-02 1.058869e-10 9.730001e-12 3.090811e-11 1.554364e-12 1.016287e-01 1.016286e-01 2.001855e-12 2.368405e-14 6.284728e-10 1.522302e-11 1.779487e-08 1.847150e-09 1.448365e-11 2.569490e-13 8.881277e-01 8.881275e-01
14 3.295455e-02 3.093750e-02 1.828577e+00 1.879528e+00 1.247536e+01 1.164203e+01 3.730012e+02 3.730001e+02 1.024340e-02 1.024383e-02 2.904970e-10 2.371627e-11 9.170862e-11 3.703825e-12 1.016287e-01 1.016286e-01 1.249810e-11 1.041399e-13 2.279947e-09 4.268345e-11 4.661949e-08 3.792871e-09 5.872391e-11 7.912570e-13 8.881278e-01 8.881275e-01
15 3.409091e-02 3.187500e-02 1.799732e+00 1.857367e+00 1.290555e+01 1.199482e+01 3.730032e+02 3.730002e+02 1.024295e-02 1.024376e-02 7.933887e-10 5.624442e-11 2.721645e-10 9.446272e-12 1.016288e-01 1.016286e-01 7.626266e-11 4.871515e-13 8.217452e-09 1.313983e-10 1.206093e-07 8.394500e-09 2.336457e-10 2.711701e-12 8.881282e-01 8.881276e-01
16 3.522727e-02 3.281250e-02 1.769914e+00 1.834544e+00 1.333573e+01 1.234761e+01 3.730083e+02 3.730004e+02 1.024211e-02 1.024364e-02 2.158743e-09 1.322914e-10 8.002558e-10 2.466292e-11 1.016288e-01 1.016287e-01 4.388040e-10 2.351040e-12 2.907073e-08 4.148520e-10 2.999083e-07 1.911864e-08 8.937985e-10 9.505043e-12 8.881287e-01 8.881277e-01
17 3.579545e-02 3.375000e-02 1.754645e+00 1.811058e+00 1.355083e+01 1.270040e+01 3.730136e+02 3.730010e+02 1.024143e-02 1.024343e-02 3.712934e-09 3.100540e-10 1.434816e-09 6.464008e-11 1.016288e-01 1.016287e-01 1.178324e-09 1.132540e-11 5.829900e-08 1.308562e-09 4.691238e-07 4.364554e-08 1.847594e-09 3.301288e-11 8.881292e-01 8.881278e-01
18 3.636364e-02 3.468750e-02 1.739143e+00 1.786911e+00 1.376593e+01 1.305319e+01 3.730231e+02 3.730023e+02 1.024047e-02 1.024308e-02 6.352234e-09 7.248414e-10 2.653594e-09 1.686555e-10 1.016288e-01 1.016287e-01 3.158701e-09 5.314324e-11 1.224355e-07 4.080462e-09 7.509530e-07 9.817526e-08 4.028496e-09 1.119090e-10 8.881298e-01 8.881281e-01
19 3.693182e-02 3.562500e-02 1.723420e+00 1.762103e+00 1.398104e+01 1.340598e+01 3.730399e+02 3.730052e+02 1.023913e-02 1.024248e-02 1.082452e-08 1.690244e-09 4.972934e-09 4.361302e-10 1.016286e-01 1.016288e-01 8.404799e-09 2.376441e-10 2.613023e-07 1.250156e-08 1.212891e-06 2.139968e-07 8.927965e-09 3.655386e-10 8.881307e-01 8.881285e-01
20 3.750000e-02 3.609375e-02 1.707497e+00 1.749453e+00 1.419616e+01 1.358237e+01 3.730694e+02 3.730079e+02 1.023723e-02 1.024203e-02 1.837173e-08 2.650888e-09 9.338419e-09 7.235673e-10 1.016282e-01 1.016288e-01 2.207364e-08 5.418046e-10 5.572024e-07 2.290123e-08 1.955869e-06 3.135993e-07 1.967275e-08 6.851816e-10 8.881320e-01 8.881288e-01
21 3.863636e-02 3.656250e-02 1.675161e+00 1.736641e+00 1.462647e+01 1.375877e+01 3.731952e+02 3.730124e+02 1.023120e-02 1.024142e-02 4.879582e-08 4.149964e-09 2.929541e-08 1.228510e-09 1.016260e-01 1.016288e-01 1.131918e-07 1.239151e-09 2.116246e-06 4.347212e-08 4.723331e-06 4.670454e-07 7.744453e-08 1.337103e-09 8.881357e-01 8.881292e-01
22 3.920455e-02 3.703125e-02 1.658866e+00 1.723672e+00 1.484170e+01 1.393517e+01 3.733222e+02 3.730195e+02 1.022643e-02 1.024062e-02 8.205915e-08 6.485870e-09 5.061970e-08 2.109660e-09 1.016238e-01 1.016288e-01 2.518964e-07 2.821359e-09 3.966207e-06 8.377753e-08 6.782390e-06 7.009768e-07 1.366870e-07 2.649350e-09 8.881385e-01 8.881298e-01
23 3.977273e-02 3.750000e-02 1.642668e+00 1.710549e+00 1.505703e+01 1.411157e+01 3.735366e+02 3.730310e+02 1.021984e-02 1.023954e-02 1.369952e-07 1.011849e-08 8.757546e-08 3.635488e-09 1.016199e-01 1.016287e-01 5.427305e-07 6.358482e-09 7.508161e-06 1.618988e-07 9.451969e-06 1.052883e-06 2.363861e-07 5.244594e-09 8.881423e-01 8.881305e-01
24 4.034091e-02 3.796875e-02 1.626785e+00 1.697285e+00 1.527252e+01 1.428798e+01 3.738939e+02 3.730495e+02 1.021081e-02 1.023811e-02 2.274290e-07 1.575329e-08 1.497297e-07 6.253734e-09 1.016136e-01 1.016285e-01 1.115936e-06 1.411527e-08 1.408158e-05 3.114687e-07 1.260686e-05 1.573338e-06 3.915306e-07 1.026391e-08 8.881471e-01 8.881314e-01
25 4.090909e-02 3.843750e-02 1.611553e+00 1.683893e+00 1.548829e+01 1.446440e+01 3.744782e+02 3.730792e+02 1.019848e-02 1.023621e-02 3.759615e-07 2.446662e-08 2.508651e-07 1.069825e-08 1.016031e-01 1.016281e-01 2.175826e-06 3.072684e-08 2.586991e-05 5.938988e-07 1.592080e-05 2.326642e-06 6.122957e-07 1.970823e-08 8.881532e-01 8.881327e-01
26 4.147727e-02 3.890625e-02 1.597465e+00 1.670400e+00 1.570449e+01 1.464084e+01 3.754140e+02 3.731266e+02 1.018179e-02 1.023369e-02 6.196185e-07 3.789142e-08 4.097013e-07 1.814690e-08 1.015862e-01 1.016274e-01 4.013618e-06 6.530914e-08 4.626360e-05 1.119010e-06 1.891891e-05 3.387618e-06 8.986582e-07 3.689659e-08 8.881609e-01 8.881342e-01
27 4.204545e-02 3.937500e-02 1.585207e+00 1.656845e+00 1.592135e+01 1.481731e+01 3.768772e+02 3.732021e+02 1.015940e-02 1.023037e-02 1.018653e-06 5.849201e-08 6.501034e-07 3.044361e-08 1.015589e-01 1.016262e-01 7.010626e-06 1.349731e-07 8.030367e-05 2.078678e-06 2.116243e-05 4.831492e-06 1.240876e-06 6.695717e-08 8.881704e-01 8.881363e-01
28 4.261364e-02 3.984375e-02 1.575702e+00 1.643292e+00 1.613922e+01 1.499382e+01 3.791073e+02 3.733214e+02 1.012964e-02 1.022601e-02 1.669371e-06 8.997320e-08 1.000563e-06 5.039260e-08 1.015150e-01 1.016241e-01 1.163400e-05 2.701530e-07 1.352254e-04 3.799662e-06 2.246612e-05 6.713747e-06 1.628281e-06 1.171140e-07 8.881817e-01 8.881388e-01
29 4.318182e-02 4.031250e-02 1.570135e+00 1.629835e+00 1.635853e+01 1.517042e+01 3.824164e+02 3.735085e+02 1.009054e-02 1.022029e-02 2.721583e-06 1.378973e-07 1.492914e-06 8.212114e-08 1.014457e-01 1.016209e-01 1.841951e-05 5.217824e-07 2.210941e-04 6.823308e-06 2.295315e-05 9.039488e-06 2.059796e-06 1.963526e-07 8.881950e-01 8.881421e-01
30 4.375000e-02 4.078125e-02 1.569937e+00 1.616618e+00 1.657987e+01 1.534713e+01 3.871899e+02 3.737993e+02 1.003985e-02 1.021282e-02 4.400667e-06 2.106273e-07 2.160011e-06 1.314908e-07 1.013389e-01 1.016158e-01 2.789986e-05 9.695610e-07 3.513879e-04 1.202124e-05 2.288456e-05 1.172853e-05 2.544970e-06 3.140172e-07 8.882099e-01 8.881460e-01
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69 2.000000e-01 1.250000e-01 -5.671618e+00 -1.423305e+00 0.000000e+00 5.535353e+01 2.054755e+03 2.001744e+03 1.296514e-04 5.259157e-04 1.436274e-05 1.256424e-04 3.044825e-04 1.268744e-03 2.019292e-02 1.999620e-02 2.040317e-03 3.871603e-03 8.919291e-02 8.592810e-02 3.838616e-07 3.363597e-07 1.259442e-08 1.273608e-08 8.881250e-01 8.882834e-01
70 1.300000e-01 -1.979931e+00 5.226171e+01 2.027721e+03 4.421446e-04 9.280990e-05 1.033214e-03 1.957861e-02 3.612212e-03 8.703118e-02 3.371532e-07 1.185086e-08 8.882095e-01
71 1.350000e-01 -2.496203e+00 4.877353e+01 2.041613e+03 3.660768e-04 6.831427e-05 8.420815e-04 1.944597e-02 3.322151e-03 8.781731e-02 3.416572e-07 1.149187e-08 8.881377e-01
72 1.400000e-01 -2.970190e+00 4.511040e+01 2.048372e+03 3.021931e-04 5.068813e-05 6.919746e-04 1.948859e-02 3.040786e-03 8.833523e-02 3.470195e-07 1.139236e-08 8.880902e-01
73 1.475000e-01 -3.605013e+00 3.950518e+01 2.052398e+03 2.309023e-04 3.371523e-05 5.306282e-04 1.967945e-02 2.680059e-03 8.877939e-02 3.557344e-07 1.150243e-08 8.880655e-01
74 1.550000e-01 -4.153059e+00 3.386744e+01 2.053806e+03 1.852420e-04 2.424684e-05 4.287227e-04 1.987254e-02 2.415442e-03 8.900085e-02 3.647415e-07 1.177831e-08 8.880726e-01
75 1.625000e-01 -4.616513e+00 2.822340e+01 2.054336e+03 1.584083e-04 1.921713e-05 3.691436e-04 2.001318e-02 2.244044e-03 8.910623e-02 3.723398e-07 1.207520e-08 8.880894e-01
76 1.700000e-01 -4.995982e+00 2.257861e+01 2.054559e+03 1.436708e-04 1.663431e-05 3.365427e-04 2.009955e-02 2.143939e-03 8.915473e-02 3.775918e-07 1.230317e-08 8.881045e-01
77 1.775000e-01 -5.291408e+00 1.693389e+01 2.054661e+03 1.359780e-04 1.533964e-05 3.195841e-04 2.014735e-02 2.089852e-03 8.917665e-02 3.807154e-07 1.244586e-08 8.881149e-01
78 1.850000e-01 -5.502583e+00 1.128924e+01 2.054709e+03 1.321072e-04 1.470238e-05 3.110664e-04 2.017218e-02 2.062121e-03 8.918651e-02 3.824017e-07 1.252483e-08 8.881209e-01
79 1.925000e-01 -5.629332e+00 5.644618e+00 2.054733e+03 1.302173e-04 1.439315e-05 3.068403e-04 2.018487e-02 2.048186e-03 8.919094e-02 3.832793e-07 1.256625e-08 8.881242e-01
80 2.000000e-01 -5.671563e+00 0.000000e+00 2.054755e+03 1.293025e-04 1.428456e-05 3.040909e-04 2.019372e-02 2.039052e-03 8.919353e-02 3.839153e-07 1.259694e-08 8.881256e-01