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[1D] Add simple radiation model for flames

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Implements the radiation model of Liu & Rogg (1991). Optically thin limit,
gray-gas approximation using Planck mean absorption coefficients. Considers
emissions from CO2 and H2O, with the temperature-dependent absorption
coefficients calculated using polynomial fits to results from RADCAL
(Grosshandler, 1993).
This commit is contained in:
Andreas Rücker 2015-01-15 21:15:15 +00:00
parent 217a001a08
commit 49c963143e
7 changed files with 335 additions and 4 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

45
include/cantera/oneD/StFlow.h
View file

@ -193,6 +193,40 @@ public:
}
}
//! Turn radiation on / off.
/*!
* The simple radiation model used was established by Y. Liu and B. Rogg
* [Y. Liu and B. Rogg, Modelling of thermally radiating diffusion flames
* with detailed chemistry and transport, EUROTHERM Seminars, 17:114-127,
* 1991]. This model considers the radiation of CO2 and H2O.
*/
void enableRadiation(bool doRadiation) {
if (doRadiation) {
m_do_radiation = true;
} else {
m_do_radiation = false;
}
}
//! Set the emissivities for the boundary values
/*!
* Reads the emissivities for the left and right boundary values in the
* radiative term and writes them into the variables, which are used for
* the calculation.
*/
void setBoundaryEmissivities(doublereal e_left, doublereal e_right) {
if (e_left < 0 || e_left > 1) {
throw CanteraError("setBoundaryEmissivities",
"The left boundary emissivity must be between 0.0 and 1.0!");
} else if (e_right < 0 || e_right > 1) {
throw CanteraError("setBoundaryEmissivities",
"The right boundary emissivity must be between 0.0 and 1.0!");
} else {
m_epsilon_left = e_left;
m_epsilon_right = e_right;
}
}
void fixTemperature(size_t j=npos) {
bool changed = false;
if (j == npos)
@ -481,12 +515,23 @@ protected:
bool m_ok;
// boundary emissivities for the radiation calculations
doublereal m_epsilon_left;
doublereal m_epsilon_right;
// flags
std::vector<bool> m_do_energy;
bool m_do_soret;
std::vector<bool> m_do_species;
int m_transport_option;
// flag for the radiative heat loss
bool m_do_radiation;
// radiative heat loss vector
// vector which contains the values of the radiative heat loss
vector_fp m_qdotRadiation;
// solution estimate
//vector_fp m_zest;
//Array2D m_yest;

2
interfaces/cython/cantera/_cantera.pxd
View file

@ -431,8 +431,10 @@ cdef extern from "cantera/oneD/StFlow.h":
void setTransport(CxxTransport&, cbool) except +
void setTransport(CxxTransport&) except +
void setPressure(double)
void enableRadiation(cbool)
double pressure()
void setFixedTempProfile(vector[double]&, vector[double]&)
void setBoundaryEmissivities(double, double)
void solveEnergyEqn()
void fixTemperature()
cbool doEnergy(size_t)

24
interfaces/cython/cantera/examples/onedim/diffusion_flame.py
View file

@ -4,6 +4,7 @@ An opposed-flow ethane/air diffusion flame
import cantera as ct
import numpy as np
import matplotlib.pyplot as plt
# Input parameters
p = ct.one_atm # pressure
@ -54,6 +55,11 @@ f.flame.set_transient_tolerances(default=tol_ts)
# constructing an initial guess.
f.set_initial_guess(fuel='C2H6')
# Set the boundary emissivities
f.flame.set_boundary_emissivities(0.0, 0.0)
# Turn radiation off
f.flame.radiation_enabled(0)
# First disable the energy equation and solve the problem without
# refining the grid
f.energy_enabled = False
@ -71,3 +77,21 @@ f.save('c2h6_diffusion.xml')
f.write_csv('c2h6_diffusion.csv', quiet=False)
f.show_stats(0)
# Plot Temperature without radiation
figTemperatureModifiedFlame = plt.figure()
plt.plot(f.flame.grid, f.T, label='Temperature without radiation')
plt.title('Temperature of the flame')
plt.ylim(0,2500)
plt.xlim(0.000, 0.020)
# Turn on radiation and solve again
f.flame.radiation_enabled(1)
f.solve(loglevel = 1, refine_grid = 0)
f.show_solution()
# Plot Temperature with radiation
plt.plot(f.flame.grid, f.T, label='Temperature with radiation')
plt.legend()
plt.legend(loc=2)
plt.savefig('./c2h6_diffusion.pdf')

7
interfaces/cython/cantera/onedim.pyx
View file

@ -390,6 +390,13 @@ cdef class _FlowBase(Domain1D):
def __dealloc__(self):
del self.flow
def set_boundary_emissivities(self, e_left, e_right):
self.flow.setBoundaryEmissivities(e_left, e_right)
#turn radiation solving on / off
def radiation_enabled(self, do_Radiation):
self.flow.enableRadiation(do_Radiation)
cdef CxxIdealGasPhase* getIdealGasPhase(ThermoPhase phase) except *:
if phase.thermo.eosType() != thermo_type_ideal_gas:

37
interfaces/cython/cantera/test/test_onedim.py
View file

@ -364,7 +364,6 @@ class TestFreeFlame(utilities.CanteraTest):
class TestDiffusionFlame(utilities.CanteraTest):
referenceFile = '../data/DiffusionFlameTest-h2-mix.csv'
# Note: to re-create the reference file:
# (1) set PYTHONPATH to build/python2 or build/python3.
# (2) Start Python in the test/work directory and run:
@ -387,6 +386,8 @@ class TestDiffusionFlame(utilities.CanteraTest):
self.sim = ct.CounterflowDiffusionFlame(self.gas, initial_grid)
self.sim.flame.set_steady_tolerances(default=tol_ss)
self.sim.flame.set_transient_tolerances(default=tol_ts)
self.sim.flame.radiation_enabled(0)
self.sim.flame.set_boundary_emissivities(0,0)
# Set properties of the fuel and oxidizer mixtures
self.sim.fuel_inlet.mdot = mdot_fuel
@ -417,6 +418,7 @@ class TestDiffusionFlame(utilities.CanteraTest):
self.assertEqual(self.sim.transport_model, 'Mix')
def test_mixture_averaged(self, saveReference=False):
referenceFile = '../data/DiffusionFlameTest-h2-mix.csv'
self.create_sim(p=ct.one_atm)
nPoints = len(self.sim.grid)
@ -434,9 +436,36 @@ class TestDiffusionFlame(utilities.CanteraTest):
data[:,4:] = self.sim.Y.T
if saveReference:
np.savetxt(self.referenceFile, data, '%11.6e', ', ')
np.savetxt(referenceFile, data, '%11.6e', ', ')
else:
bad = utilities.compareProfiles(self.referenceFile, data,
bad = utilities.compareProfiles(referenceFile, data,
rtol=1e-2, atol=1e-8, xtol=1e-2)
self.assertFalse(bad, bad)
def test_mixture_averaged_rad(self, saveReference=False):
referenceFile = '../data/DiffusionFlameTest-h2-mix-rad.csv'
self.create_sim(p=ct.one_atm)
nPoints = len(self.sim.grid)
Tfixed = self.sim.T
self.solve_fixed_T()
self.assertEqual(nPoints, len(self.sim.grid))
self.assertArrayNear(Tfixed, self.sim.T)
self.sim.flame.radiation_enabled(1)
self.sim.flame.set_boundary_emissivities(0.25,0.15)
self.solve_mix()
data = np.empty((self.sim.flame.n_points, self.gas.n_species + 4))
data[:,0] = self.sim.grid
data[:,1] = self.sim.u
data[:,2] = self.sim.V
data[:,3] = self.sim.T
data[:,4:] = self.sim.Y.T
if saveReference:
np.savetxt(referenceFile, data, '%11.6e', ', ')
else:
bad = utilities.compareProfiles(referenceFile, data,
rtol=1e-2, atol=1e-8, xtol=1e-2)
self.assertFalse(bad, bad)
@ -502,6 +531,8 @@ class TestCounterflowPremixedFlame(utilities.CanteraTest):
sim.set_refine_criteria(ratio=3, slope=0.2, curve=0.4, prune=0.02)
sim.energy_enabled = True
sim.flame.radiation_enabled(0)
sim.flame.set_boundary_emissivities(0,0)
sim.solve(loglevel=0, refine_grid=True)
data = np.empty((sim.flame.n_points, gas.n_species + 4))

105
src/oneD/StFlow.cpp
View file

@ -280,6 +280,94 @@ void StFlow::eval(size_t jg, doublereal* xg,
doublereal sum, sum2, dtdzj;
// calculation of qdotRadiation
// The simple radiation model used was established by Y. Liu and B. Rogg [Y.
// Liu and B. Rogg, Modelling of thermally radiating diffusion flames with
// detailed chemistry and transport, EUROTHERM Seminars, 17:114-127, 1991].
// This model uses the optically thin limit and the gray-gas approximation
// to simply calculate a volume specified heat flux out of the Planck
// absorption coefficients, the boundary emissivities and the temperature.
// The model considers only CO2 and H2O as radiating species. Polynomial
// lines calculate the species Planck coefficients for H2O and CO2. The data
// for the lines is taken from the RADCAL program [Grosshandler, W. L.,
// RADCAL: A Narrow-Band Model for Radiation Calculations in a Combustion
// Environment, NIST technical note 1402, 1993]. The coefficients for the
// polynomials are taken from [http://www.sandia.gov/TNF/radiation.html].
// set the number of points in the radiative heat loss vector
m_qdotRadiation.resize(m_points);
if (m_do_radiation) {
// variable definitions for the Planck absorption coefficient and the
// radiation calculation:
doublereal k_P_ref = 1.0*OneAtm;
size_t position_H2O = 0;
size_t position_CO2 = 0;
size_t check_H2O = 0;
size_t check_CO2 = 0;
// polynomial coefficients:
const doublereal c_H2O[6] = {-0.23093, -1.12390, 9.41530, -2.99880,
0.51382, -1.86840e-5};
const doublereal c_CO2[6] = {18.741, -121.310, 273.500, -194.050,
56.310, -5.8169};
// calculation of the two boundary values
double boundary_Rad_left = m_epsilon_left * StefanBoltz * pow(T(x, 0), 4);
double boundary_Rad_right = m_epsilon_right * StefanBoltz * pow(T(x, m_points - 1), 4);
// check if H2O and / or CO2 are in the mechanism and set their positions
for (size_t n_comp = 0; n_comp < m_nv; n_comp++) {
if (componentName(n_comp) == "H2O") {
position_H2O = componentIndex("H2O") - c_offset_Y;
check_H2O = 1;
} else if (componentName(n_comp) == "CO2") {
position_CO2 = componentIndex("CO2") - c_offset_Y;
check_CO2 = 1;
}
}
// loop over all grid points
for (size_t jnew = 0; jnew < m_points; jnew++) {
// helping variable for the calculation
double radiative_heat_loss = 0;
// calculation of the mean Planck absorption coefficient
double k_P_H2O = 0;
double k_P_CO2 = 0;
// absorption coefficient for H2O
if (check_H2O == 1) {
for (size_t n = 0; n <= 5; n++) {
k_P_H2O += c_H2O[n] * pow(1000 / T(x, jnew), (double) n);
}
}
// absorption coefficient for CO2
if (check_CO2 == 1) {
for (size_t n = 0; n <= 5; n++) {
k_P_CO2 += c_CO2[n] * pow(1000 / T(x, jnew), (double) n);
}
}
// normalizing the coefficients
k_P_H2O /= k_P_ref;
k_P_CO2 /= k_P_ref;
// calculation of k_P
double k_P = m_press * (X(x, position_H2O, jnew) * k_P_H2O * check_H2O
+ X(x, position_CO2, jnew) * k_P_CO2 * check_CO2);
// calculation of the radiative heat loss term
radiative_heat_loss = 2 * k_P *(2 * StefanBoltz * pow(T(x, jnew), 4)
- boundary_Rad_left - boundary_Rad_right);
// set the radiative heat loss vector
m_qdotRadiation[jnew] = radiative_heat_loss;
}
} else {
for (size_t jnew = 0; jnew < m_points; jnew++) {
m_qdotRadiation[jnew] = 0;
}
}
for (j = jmin; j <= jmax; j++) {
//----------------------------------------------
// left boundary
@ -392,6 +480,7 @@ void StFlow::eval(size_t jg, doublereal* xg,
rsd[index(c_offset_T, j)] /= (m_rho[j]*m_cp[j]);
rsd[index(c_offset_T, j)] -= rdt*(T(x,j) - T_prev(j));
rsd[index(c_offset_T, j)] -= (m_qdotRadiation[j] / (m_rho[j] * m_cp[j]));
diag[index(c_offset_T, j)] = 1;
} else {
// residual equations if the energy equation is disabled
@ -483,6 +572,17 @@ void StFlow::showSolution(const doublereal* x)
}
}
writelog("\n");
if (m_do_radiation) {
writeline('-', 79, false, true);
sprintf(buf, "\n z radiative heat loss");
writelog(buf);
writeline('-', 79, false, true);
for (j = 0; j < m_points; j++) {
sprintf(buf, "\n %10.4g %10.4g", m_z[j], m_qdotRadiation[j]);
writelog(buf);
}
writelog("\n");
}
}
void StFlow::updateDiffFluxes(const doublereal* x, size_t j0, size_t j1)
@ -786,7 +886,10 @@ XML_Node& StFlow::save(XML_Node& o, const doublereal* const sol)
addFloatArray(gv,m_thermo->speciesName(k),
x.size(),DATA_PTR(x),"","massFraction");
}
if (m_do_radiation) {
addFloatArray(gv, "radiative_heat_loss", m_z.size(),
DATA_PTR(m_qdotRadiation), "W/m^3", "specificPower");
}
vector_fp values(nPoints());
for (size_t i = 0; i < nPoints(); i++) {
values[i] = m_do_energy[i];

119
test/data/DiffusionFlameTest-h2-mix-rad.csv Normal file
View file

@ -0,0 +1,119 @@
0.000000e+00, 2.815552e-01, -4.342700e-19, 3.000000e+02, 4.802883e-02, 5.608541e-08, 1.397083e-17, 0.000000e+00, 6.985206e-21, 3.751639e-08, 0.000000e+00, 6.966262e-17, 9.519711e-01
5.000000e-04, 2.786041e-01, 5.940194e+00, 3.000689e+02, 4.801228e-02, 1.051885e-07, 2.265647e-17, 0.000000e+00, 2.681709e-20, 1.864748e-07, 0.000000e+00, 6.934454e-17, 9.519874e-01
1.000000e-03, 2.697654e-01, 1.188174e+01, 3.002795e+02, 4.796762e-02, 1.996840e-07, 6.892873e-17, 2.044683e-17, 1.379372e-19, 9.198963e-07, 3.120258e-19, 6.874729e-17, 9.520313e-01
1.500000e-03, 2.551563e-01, 1.782689e+01, 3.009076e+02, 4.784972e-02, 3.833629e-07, 2.825779e-16, 1.996471e-16, 9.145758e-19, 4.429564e-06, 3.112820e-18, 6.774753e-17, 9.521455e-01
1.750000e-03, 2.458120e-01, 2.080394e+01, 3.016611e+02, 4.772267e-02, 5.434129e-07, 6.657863e-16, 6.416179e-16, 3.062686e-18, 1.087346e-05, 9.915301e-18, 6.727584e-17, 9.522659e-01
2.000000e-03, 2.352808e-01, 2.378847e+01, 3.030906e+02, 4.750272e-02, 7.814664e-07, 1.638231e-15, 2.178404e-15, 1.163171e-17, 2.826883e-05, 3.313339e-17, 6.733492e-17, 9.524682e-01
2.250000e-03, 2.237968e-01, 2.678714e+01, 3.057375e+02, 4.713235e-02, 1.139207e-06, 4.062709e-15, 7.686214e-15, 4.774831e-17, 7.348285e-05, 1.136931e-16, 6.959422e-17, 9.527930e-01
2.375000e-03, 2.178399e-01, 2.829721e+01, 3.078542e+02, 4.685877e-02, 1.390164e-06, 6.616099e-15, 1.618667e-14, 1.082818e-16, 1.214917e-04, 2.340411e-16, 7.339535e-17, 9.530184e-01
2.500000e-03, 2.118614e-01, 2.981996e+01, 3.107863e+02, 4.650377e-02, 1.705987e-06, 1.089726e-14, 3.527547e-14, 2.530579e-16, 2.036730e-04, 4.948625e-16, 8.136175e-17, 9.532908e-01
2.625000e-03, 2.059628e-01, 3.136129e+01, 3.147996e+02, 4.605030e-02, 2.104901e-06, 1.799734e-14, 7.855393e-14, 5.988610e-16, 3.411550e-04, 1.058671e-15, 9.699626e-17, 9.536064e-01
2.750000e-03, 2.002592e-01, 3.292940e+01, 3.202208e+02, 4.548122e-02, 2.610556e-06, 2.963542e-14, 1.778693e-13, 1.417105e-15, 5.652192e-04, 2.275090e-15, 1.263426e-16, 9.539510e-01
2.875000e-03, 1.948732e-01, 3.453538e+01, 3.274379e+02, 4.478122e-02, 3.253412e-06, 4.844888e-14, 4.085532e-13, 3.322413e-15, 9.197819e-04, 4.889101e-15, 1.796168e-16, 9.542957e-01
3.000000e-03, 1.899241e-01, 3.619356e+01, 3.368945e+02, 4.393902e-02, 4.072166e-06, 7.832754e-14, 9.496881e-13, 7.665774e-15, 1.462709e-03, 1.046274e-14, 2.739085e-16, 9.545942e-01
3.125000e-03, 1.855139e-01, 3.792163e+01, 3.490751e+02, 4.294959e-02, 5.115009e-06, 1.246773e-13, 2.226105e-12, 1.736846e-14, 2.264694e-03, 2.219441e-14, 4.380195e-16, 9.547806e-01
3.250000e-03, 1.817113e-01, 3.974015e+01, 3.644814e+02, 4.181586e-02, 6.440356e-06, 1.943698e-13, 5.234750e-12, 3.905198e-14, 3.404627e-03, 4.643010e-14, 7.221456e-16, 9.547731e-01
3.375000e-03, 1.785351e-01, 4.167119e+01, 3.836018e+02, 4.054918e-02, 8.116674e-06, 2.950891e-13, 1.226743e-11, 9.110912e-14, 4.961303e-03, 9.528294e-14, 1.219435e-15, 9.544814e-01
3.500000e-03, 1.759429e-01, 4.373632e+01, 4.068776e+02, 3.916829e-02, 1.022105e-05, 4.343158e-13, 2.843431e-11, 2.461117e-13, 7.002843e-03, 1.908674e-13, 2.117952e-15, 9.538186e-01
3.625000e-03, 1.738258e-01, 4.595379e+01, 4.346697e+02, 3.769707e-02, 1.283627e-05, 6.205338e-13, 6.468742e-11, 8.787720e-13, 9.576481e-03, 3.716461e-13, 3.833719e-15, 9.527136e-01
3.750000e-03, 1.720109e-01, 4.833570e+01, 4.672321e+02, 3.616149e-02, 1.604658e-05, 8.766379e-13, 1.434217e-10, 4.088842e-12, 1.270160e-02, 7.012292e-13, 7.372812e-15, 9.511209e-01
3.875000e-03, 1.702723e-01, 5.088551e+01, 5.046950e+02, 3.458688e-02, 1.993239e-05, 1.300955e-12, 3.081052e-10, 2.126677e-11, 1.636776e-02, 1.279652e-12, 1.539063e-14, 9.490254e-01
4.000000e-03, 1.683469e-01, 5.359654e+01, 5.470587e+02, 3.299576e-02, 2.456500e-05, 2.318935e-12, 6.386168e-10, 1.090784e-10, 2.053766e-02, 2.256765e-12, 3.555934e-14, 9.464420e-01
4.125000e-03, 1.659541e-01, 5.645160e+01, 5.941999e+02, 3.140674e-02, 3.000185e-05, 5.759322e-12, 1.273914e-09, 5.189349e-10, 2.515341e-02, 3.847077e-12, 9.224622e-14, 9.434099e-01
4.250000e-03, 1.628148e-01, 5.942395e+01, 6.458877e+02, 2.983421e-02, 3.628341e-05, 1.983160e-11, 2.443413e-09, 2.250581e-09, 3.014410e-02, 6.344185e-12, 2.704421e-13, 9.399854e-01
4.500000e-03, 1.534535e-01, 6.559662e+01, 7.614490e+02, 2.690461e-02, 5.067442e-05, 1.954887e-10, 7.152561e-09, 2.843129e-08, 4.048025e-02, 1.400439e-11, 1.837146e-12, 9.325644e-01
4.750000e-03, 1.382733e-01, 7.176903e+01, 8.899666e+02, 2.411633e-02, 6.821157e-05, 1.805200e-09, 1.904614e-08, 2.338903e-07, 5.130523e-02, 2.917163e-11, 1.675584e-11, 9.245100e-01
5.000000e-03, 1.163938e-01, 7.762961e+01, 1.028413e+03, 2.148365e-02, 8.861732e-05, 1.245910e-08, 4.748947e-08, 1.328674e-06, 6.219677e-02, 5.981876e-11, 1.346138e-10, 9.162296e-01
5.250000e-03, 8.752039e-02, 8.290191e+01, 1.173720e+03, 1.900809e-02, 1.115233e-04, 6.534110e-08, 1.207703e-07, 5.589464e-06, 7.282364e-02, 1.374193e-10, 7.869497e-10, 9.080510e-01
5.500000e-03, 5.187791e-02, 8.737479e+01, 1.323165e+03, 1.668556e-02, 1.365233e-04, 2.734275e-07, 3.381775e-07, 1.856321e-05, 8.294182e-02, 3.841598e-10, 3.031393e-09, 9.002169e-01
5.750000e-03, 1.006790e-02, 9.091287e+01, 1.474295e+03, 1.450968e-02, 1.632017e-04, 9.584116e-07, 1.035701e-06, 5.130469e-05, 9.238158e-02, 1.162642e-09, 7.147058e-09, 8.928922e-01
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1.031250e-02, -1.969588e-01, 4.308778e+01, 5.707726e+02, 7.488135e-06, 6.696630e-10, 1.447375e-06, 1.576653e-01, 3.737197e-06, 1.324572e-02, 3.818375e-06, 2.064095e-06, 8.290704e-01
1.037500e-02, -1.860080e-01, 4.211569e+01, 5.253162e+02, 6.995133e-06, 2.620810e-10, 9.675857e-07, 1.592284e-01, 2.565283e-06, 1.116395e-02, 2.542748e-06, 1.715214e-06, 8.295929e-01
1.043750e-02, -1.764583e-01, 4.121156e+01, 4.851187e+02, 6.508828e-06, 1.074219e-10, 6.586656e-07, 1.605976e-01, 1.784258e-06, 9.290548e-03, 1.699467e-06, 1.405487e-06, 8.300998e-01
1.050000e-02, -1.684024e-01, 4.038036e+01, 4.502141e+02, 6.031774e-06, 4.614499e-11, 4.559204e-07, 1.617771e-01, 1.256012e-06, 7.635067e-03, 1.143065e-06, 1.136512e-06, 8.305778e-01
1.056250e-02, -1.618937e-01, 3.962486e+01, 4.205035e+02, 5.567227e-06, 2.071959e-11, 3.206074e-07, 1.627748e-01, 8.943828e-07, 6.201478e-03, 7.755343e-07, 9.080821e-07, 8.310152e-01
1.062500e-02, -1.569375e-01, 3.894513e+01, 3.957457e+02, 5.118747e-06, 9.680087e-12, 2.289175e-07, 1.636025e-01, 6.443202e-07, 4.986802e-03, 5.322478e-07, 7.185044e-07, 8.314035e-01
1.075000e-02, -1.512073e-01, 3.778288e+01, 3.589554e+02, 4.264685e-06, 2.512237e-12, 1.247708e-07, 1.648493e-01, 3.526985e-07, 3.111243e-03, 2.652889e-07, 4.332713e-07, 8.320340e-01
1.087500e-02, -1.500246e-01, 3.684022e+01, 3.351803e+02, 3.512418e-06, 7.422917e-13, 7.116694e-08, 1.656465e-01, 2.005155e-07, 1.883788e-03, 1.367436e-07, 2.532254e-07, 8.324655e-01
1.100000e-02, -1.523825e-01, 3.606691e+01, 3.207859e+02, 2.868732e-06, 2.464672e-13, 4.220383e-08, 1.661284e-01, 1.181585e-07, 1.130207e-03, 7.333434e-08, 1.469404e-07, 8.327381e-01
1.125000e-02, -1.631718e-01, 3.479913e+01, 3.072505e+02, 1.869335e-06, 3.806880e-14, 1.690672e-08, 1.665884e-01, 4.667362e-08, 4.030792e-04, 2.390180e-08, 4.889039e-08, 8.330065e-01
1.150000e-02, -1.775173e-01, 3.370617e+01, 3.023656e+02, 1.193324e-06, 6.413311e-15, 6.844033e-09, 1.667569e-01, 1.862444e-08, 1.354116e-04, 7.567352e-09, 1.517564e-08, 8.331065e-01
1.175000e-02, -1.931029e-01, 3.268253e+01, 3.007509e+02, 7.537912e-07, 1.143904e-15, 2.781440e-09, 1.668141e-01, 7.462435e-09, 4.440788e-05, 2.350044e-09, 4.572639e-09, 8.331407e-01
1.200000e-02, -2.088540e-01, 3.168253e+01, 3.002529e+02, 4.775600e-07, 2.298033e-16, 1.180062e-09, 1.668324e-01, 3.125897e-09, 1.541474e-05, 7.786452e-10, 1.468803e-09, 8.331517e-01
1.250000e-02, -2.393802e-01, 2.969827e+01, 3.000390e+02, 1.959406e-07, 1.402482e-17, 2.556698e-10, 1.668406e-01, 6.652873e-10, 2.481334e-06, 1.151892e-10, 2.117352e-10, 8.331567e-01
1.300000e-02, -2.680597e-01, 2.771777e+01, 3.000066e+02, 8.200726e-08, 1.060320e-18, 5.966036e-11, 1.668419e-01, 1.527510e-10, 4.388106e-07, 1.875608e-11, 3.374261e-11, 8.331576e-01
1.400000e-02, -3.195289e-01, 2.375798e+01, 3.000004e+02, 1.638422e-08, 1.544109e-20, 5.430226e-12, 1.668422e-01, 1.363642e-11, 2.860196e-08, 1.094868e-12, 1.947147e-12, 8.331578e-01
1.500000e-02, -3.630846e-01, 1.979831e+01, 3.000000e+02, 3.071920e-09, 2.105474e-22, 4.502028e-13, 1.668422e-01, 1.108340e-12, 1.683084e-09, 5.737601e-14, 1.011538e-13, 8.331578e-01
1.600000e-02, -3.987215e-01, 1.583865e+01, 3.000000e+02, 6.360592e-10, 3.894261e-24, 4.322952e-14, 1.668422e-01, 1.044241e-13, 1.161794e-10, 3.537950e-15, 6.187059e-15, 8.331578e-01
1.800000e-02, -4.462375e-01, 7.919323e+00, 3.000000e+02, 5.297451e-11, 1.081890e-26, 1.508712e-15, 1.668422e-01, 3.570244e-15, 2.847281e-12, 7.693047e-17, 1.334477e-16, 8.331578e-01
2.000000e-02, -4.620761e-01, 0.000000e+00, 3.000000e+02, 4.284535e-12, 1.313887e-27, 5.096932e-17, 1.668422e-01, 1.181532e-16, 6.750026e-14, 1.617745e-18, 2.784278e-18, 8.331578e-01
1 0.000000e+00 2.815552e-01 -4.342700e-19 3.000000e+02 4.802883e-02 5.608541e-08 1.397083e-17 0.000000e+00 6.985206e-21 3.751639e-08 0.000000e+00 6.966262e-17 9.519711e-01
2 5.000000e-04 2.786041e-01 5.940194e+00 3.000689e+02 4.801228e-02 1.051885e-07 2.265647e-17 0.000000e+00 2.681709e-20 1.864748e-07 0.000000e+00 6.934454e-17 9.519874e-01
3 1.000000e-03 2.697654e-01 1.188174e+01 3.002795e+02 4.796762e-02 1.996840e-07 6.892873e-17 2.044683e-17 1.379372e-19 9.198963e-07 3.120258e-19 6.874729e-17 9.520313e-01
4 1.500000e-03 2.551563e-01 1.782689e+01 3.009076e+02 4.784972e-02 3.833629e-07 2.825779e-16 1.996471e-16 9.145758e-19 4.429564e-06 3.112820e-18 6.774753e-17 9.521455e-01
5 1.750000e-03 2.458120e-01 2.080394e+01 3.016611e+02 4.772267e-02 5.434129e-07 6.657863e-16 6.416179e-16 3.062686e-18 1.087346e-05 9.915301e-18 6.727584e-17 9.522659e-01
6 2.000000e-03 2.352808e-01 2.378847e+01 3.030906e+02 4.750272e-02 7.814664e-07 1.638231e-15 2.178404e-15 1.163171e-17 2.826883e-05 3.313339e-17 6.733492e-17 9.524682e-01
7 2.250000e-03 2.237968e-01 2.678714e+01 3.057375e+02 4.713235e-02 1.139207e-06 4.062709e-15 7.686214e-15 4.774831e-17 7.348285e-05 1.136931e-16 6.959422e-17 9.527930e-01
8 2.375000e-03 2.178399e-01 2.829721e+01 3.078542e+02 4.685877e-02 1.390164e-06 6.616099e-15 1.618667e-14 1.082818e-16 1.214917e-04 2.340411e-16 7.339535e-17 9.530184e-01
9 2.500000e-03 2.118614e-01 2.981996e+01 3.107863e+02 4.650377e-02 1.705987e-06 1.089726e-14 3.527547e-14 2.530579e-16 2.036730e-04 4.948625e-16 8.136175e-17 9.532908e-01
10 2.625000e-03 2.059628e-01 3.136129e+01 3.147996e+02 4.605030e-02 2.104901e-06 1.799734e-14 7.855393e-14 5.988610e-16 3.411550e-04 1.058671e-15 9.699626e-17 9.536064e-01
11 2.750000e-03 2.002592e-01 3.292940e+01 3.202208e+02 4.548122e-02 2.610556e-06 2.963542e-14 1.778693e-13 1.417105e-15 5.652192e-04 2.275090e-15 1.263426e-16 9.539510e-01
12 2.875000e-03 1.948732e-01 3.453538e+01 3.274379e+02 4.478122e-02 3.253412e-06 4.844888e-14 4.085532e-13 3.322413e-15 9.197819e-04 4.889101e-15 1.796168e-16 9.542957e-01
13 3.000000e-03 1.899241e-01 3.619356e+01 3.368945e+02 4.393902e-02 4.072166e-06 7.832754e-14 9.496881e-13 7.665774e-15 1.462709e-03 1.046274e-14 2.739085e-16 9.545942e-01
14 3.125000e-03 1.855139e-01 3.792163e+01 3.490751e+02 4.294959e-02 5.115009e-06 1.246773e-13 2.226105e-12 1.736846e-14 2.264694e-03 2.219441e-14 4.380195e-16 9.547806e-01
15 3.250000e-03 1.817113e-01 3.974015e+01 3.644814e+02 4.181586e-02 6.440356e-06 1.943698e-13 5.234750e-12 3.905198e-14 3.404627e-03 4.643010e-14 7.221456e-16 9.547731e-01
16 3.375000e-03 1.785351e-01 4.167119e+01 3.836018e+02 4.054918e-02 8.116674e-06 2.950891e-13 1.226743e-11 9.110912e-14 4.961303e-03 9.528294e-14 1.219435e-15 9.544814e-01
17 3.500000e-03 1.759429e-01 4.373632e+01 4.068776e+02 3.916829e-02 1.022105e-05 4.343158e-13 2.843431e-11 2.461117e-13 7.002843e-03 1.908674e-13 2.117952e-15 9.538186e-01
18 3.625000e-03 1.738258e-01 4.595379e+01 4.346697e+02 3.769707e-02 1.283627e-05 6.205338e-13 6.468742e-11 8.787720e-13 9.576481e-03 3.716461e-13 3.833719e-15 9.527136e-01
19 3.750000e-03 1.720109e-01 4.833570e+01 4.672321e+02 3.616149e-02 1.604658e-05 8.766379e-13 1.434217e-10 4.088842e-12 1.270160e-02 7.012292e-13 7.372812e-15 9.511209e-01
20 3.875000e-03 1.702723e-01 5.088551e+01 5.046950e+02 3.458688e-02 1.993239e-05 1.300955e-12 3.081052e-10 2.126677e-11 1.636776e-02 1.279652e-12 1.539063e-14 9.490254e-01
21 4.000000e-03 1.683469e-01 5.359654e+01 5.470587e+02 3.299576e-02 2.456500e-05 2.318935e-12 6.386168e-10 1.090784e-10 2.053766e-02 2.256765e-12 3.555934e-14 9.464420e-01
22 4.125000e-03 1.659541e-01 5.645160e+01 5.941999e+02 3.140674e-02 3.000185e-05 5.759322e-12 1.273914e-09 5.189349e-10 2.515341e-02 3.847077e-12 9.224622e-14 9.434099e-01
23 4.250000e-03 1.628148e-01 5.942395e+01 6.458877e+02 2.983421e-02 3.628341e-05 1.983160e-11 2.443413e-09 2.250581e-09 3.014410e-02 6.344185e-12 2.704421e-13 9.399854e-01
24 4.500000e-03 1.534535e-01 6.559662e+01 7.614490e+02 2.690461e-02 5.067442e-05 1.954887e-10 7.152561e-09 2.843129e-08 4.048025e-02 1.400439e-11 1.837146e-12 9.325644e-01
25 4.750000e-03 1.382733e-01 7.176903e+01 8.899666e+02 2.411633e-02 6.821157e-05 1.805200e-09 1.904614e-08 2.338903e-07 5.130523e-02 2.917163e-11 1.675584e-11 9.245100e-01
26 5.000000e-03 1.163938e-01 7.762961e+01 1.028413e+03 2.148365e-02 8.861732e-05 1.245910e-08 4.748947e-08 1.328674e-06 6.219677e-02 5.981876e-11 1.346138e-10 9.162296e-01
27 5.250000e-03 8.752039e-02 8.290191e+01 1.173720e+03 1.900809e-02 1.115233e-04 6.534110e-08 1.207703e-07 5.589464e-06 7.282364e-02 1.374193e-10 7.869497e-10 9.080510e-01
28 5.500000e-03 5.187791e-02 8.737479e+01 1.323165e+03 1.668556e-02 1.365233e-04 2.734275e-07 3.381775e-07 1.856321e-05 8.294182e-02 3.841598e-10 3.031393e-09 9.002169e-01
29 5.750000e-03 1.006790e-02 9.091287e+01 1.474295e+03 1.450968e-02 1.632017e-04 9.584116e-07 1.035701e-06 5.130469e-05 9.238158e-02 1.162642e-09 7.147058e-09 8.928922e-01
30 6.000000e-03 -3.704990e-02 9.345271e+01 1.624882e+03 1.247343e-02 1.911304e-04 2.934041e-06 3.282789e-06 1.230455e-04 1.010302e-01 3.499337e-09 1.131199e-08 8.861759e-01
31 6.250000e-03 -8.845437e-02 9.501717e+01 1.772687e+03 1.056935e-02 2.198079e-04 8.119917e-06 1.030286e-05 2.645900e-04 1.088244e-01 1.041904e-08 1.493292e-08 8.801034e-01
32 6.500000e-03 -1.430340e-01 9.567066e+01 1.915532e+03 8.791041e-03 2.485319e-04 2.091126e-05 3.169470e-05 5.235380e-04 1.157138e-01 2.967372e-08 1.915986e-08 8.746704e-01
33 6.750000e-03 -1.996129e-01 9.549494e+01 2.051001e+03 7.134692e-03 2.760955e-04 5.131752e-05 9.621979e-05 9.725220e-04 1.216234e-01 7.852905e-08 2.586854e-08 8.698457e-01
34 7.000000e-03 -2.569209e-01 9.457834e+01 2.176048e+03 5.602087e-03 3.000966e-04 1.219773e-04 2.888852e-04 1.719392e-03 1.263951e-01 1.932864e-07 3.786587e-08 8.655722e-01
35 7.125000e-03 -2.853305e-01 9.386647e+01 2.233107e+03 4.876771e-03 3.095218e-04 1.873595e-04 5.157708e-04 2.253834e-03 1.282709e-01 3.027822e-07 4.748325e-08 8.635855e-01
36 7.250000e-03 -3.133350e-01 9.299772e+01 2.285756e+03 4.191529e-03 3.157431e-04 2.848220e-04 9.084772e-04 2.916765e-03 1.296854e-01 4.667143e-07 6.015860e-08 8.616968e-01
37 7.312500e-03 -3.270906e-01 9.250738e+01 2.310088e+03 3.864256e-03 3.172058e-04 3.497526e-04 1.210421e-03 3.300614e-03 1.301850e-01 5.788322e-07 6.798156e-08 8.607721e-01
38 7.375000e-03 -3.406443e-01 9.198107e+01 2.332956e+03 3.549732e-03 3.173117e-04 4.272526e-04 1.604335e-03 3.717572e-03 1.305244e-01 7.141808e-07 7.677301e-08 8.598586e-01
39 7.437500e-03 -3.539573e-01 9.141999e+01 2.354219e+03 3.249053e-03 3.158540e-04 5.185555e-04 2.115394e-03 4.164501e-03 1.306863e-01 8.762742e-07 8.655163e-08 8.589494e-01
40 7.500000e-03 -3.669879e-01 9.082533e+01 2.373733e+03 2.963291e-03 3.126553e-04 6.243379e-04 2.771351e-03 4.635833e-03 1.306540e-01 1.067977e-06 9.727646e-08 8.580373e-01
41 7.562500e-03 -3.796928e-01 9.019820e+01 2.391352e+03 2.693413e-03 3.075850e-04 7.444786e-04 3.601679e-03 5.123444e-03 1.304134e-01 1.291166e-06 1.088440e-07 8.571146e-01
42 7.625000e-03 -3.920271e-01 8.953967e+01 2.406935e+03 2.440195e-03 3.005800e-04 8.778383e-04 4.635939e-03 5.616799e-03 1.299533e-01 1.546336e-06 1.210873e-07 8.561737e-01
43 7.687500e-03 -4.039448e-01 8.885078e+01 2.420343e+03 2.204125e-03 2.916598e-04 1.022151e-03 5.901701e-03 6.103502e-03 1.292674e-01 1.832272e-06 1.337801e-07 8.552075e-01
44 7.750000e-03 -4.153999e-01 8.813248e+01 2.431444e+03 1.985355e-03 2.809314e-04 1.174082e-03 7.422481e-03 6.570170e-03 1.283543e-01 2.145880e-06 1.466475e-07 8.542104e-01
45 7.812500e-03 -4.263461e-01 8.738570e+01 2.440116e+03 1.783683e-03 2.685824e-04 1.329451e-03 9.216123e-03 7.003453e-03 1.272179e-01 2.482200e-06 1.593788e-07 8.531781e-01
46 7.875000e-03 -4.367379e-01 8.661132e+01 2.446239e+03 1.598596e-03 2.548636e-04 1.483578e-03 1.129390e-02 7.391019e-03 1.258665e-01 2.834588e-06 1.716425e-07 8.521085e-01
47 7.937500e-03 -4.465300e-01 8.581016e+01 2.449701e+03 1.429335e-03 2.400659e-04 1.631667e-03 1.366045e-02 7.722291e-03 1.243117e-01 3.195025e-06 1.831010e-07 8.510011e-01
48 8.000000e-03 -4.556782e-01 8.498300e+01 2.450394e+03 1.274980e-03 2.244963e-04 1.769161e-03 1.631428e-02 7.988896e-03 1.225670e-01 3.554506e-06 1.934252e-07 8.498574e-01
49 8.062500e-03 -4.641388e-01 8.413061e+01 2.448211e+03 1.134526e-03 2.084576e-04 1.892009e-03 1.924874e-02 8.184819e-03 1.206471e-01 3.903488e-06 2.023114e-07 8.486802e-01
50 8.125000e-03 -4.718692e-01 8.325367e+01 2.443052e+03 1.006949e-03 1.922333e-04 1.996844e-03 2.245306e-02 8.306340e-03 1.185665e-01 4.232410e-06 2.094995e-07 8.474736e-01
51 8.187500e-03 -4.788275e-01 8.235287e+01 2.434814e+03 8.912534e-04 1.760783e-04 2.081072e-03 2.591326e-02 8.351860e-03 1.163391e-01 4.532260e-06 2.147935e-07 8.462426e-01
52 8.250000e-03 -4.849727e-01 8.142884e+01 2.423402e+03 7.864976e-04 1.602141e-04 2.142890e-03 2.961300e-02 8.321665e-03 1.139778e-01 4.795217e-06 2.180826e-07 8.449930e-01
53 8.312500e-03 -4.902648e-01 8.048218e+01 2.408721e+03 6.918080e-04 1.448276e-04 2.181275e-03 3.353410e-02 8.217690e-03 1.114943e-01 5.015325e-06 2.193612e-07 8.437308e-01
54 8.375000e-03 -4.946649e-01 7.951348e+01 2.390682e+03 6.063829e-04 1.300715e-04 2.195930e-03 3.765698e-02 8.043303e-03 1.088993e-01 5.189177e-06 2.187436e-07 8.424627e-01
55 8.437500e-03 -4.981357e-01 7.852327e+01 2.369199e+03 5.294892e-04 1.160665e-04 2.187227e-03 4.196089e-02 7.803119e-03 1.062022e-01 5.316550e-06 2.164726e-07 8.411955e-01
56 8.500000e-03 -5.006418e-01 7.751208e+01 2.344200e+03 4.604559e-04 1.029030e-04 2.156129e-03 4.642412e-02 7.502825e-03 1.034118e-01 5.400923e-06 2.129171e-07 8.399362e-01
57 8.562500e-03 -5.021507e-01 7.648042e+01 2.315619e+03 3.986658e-04 9.064437e-05 2.104112e-03 5.102411e-02 7.149027e-03 1.005357e-01 5.449799e-06 2.085593e-07 8.386921e-01
58 8.625000e-03 -5.026331e-01 7.542877e+01 2.283411e+03 3.435477e-04 7.932871e-05 2.033072e-03 5.573759e-02 6.749093e-03 9.758140e-02 5.474770e-06 2.039703e-07 8.374703e-01
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63 8.937500e-03 -4.889651e-01 6.988768e+01 2.067790e+03 1.504306e-04 3.681753e-05 1.476853e-03 8.017015e-02 4.347473e-03 8.186652e-02 5.878794e-06 1.999087e-07 8.319457e-01
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68 9.250000e-03 -4.482767e-01 6.392574e+01 1.767645e+03 5.594544e-05 1.401958e-05 8.164139e-04 1.039701e-01 2.034252e-03 6.514037e-02 8.819830e-06 2.988933e-07 8.279597e-01
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71 9.437500e-03 -4.118139e-01 6.018613e+01 1.555018e+03 2.925001e-05 6.780163e-06 4.761343e-04 1.170047e-01 1.028674e-03 5.491365e-02 1.301784e-05 5.335678e-07 8.265273e-01
72 9.500000e-03 -3.978921e-01 5.891941e+01 1.480170e+03 2.383603e-05 5.110882e-06 3.798246e-04 1.210693e-01 7.779213e-04 5.150697e-02 1.491409e-05 7.007617e-07 8.262214e-01
73 9.531250e-03 -3.906487e-01 5.828333e+01 1.442207e+03 2.166156e-05 4.399588e-06 3.359336e-04 1.230200e-01 6.698457e-04 4.982909e-02 1.594512e-05 8.197987e-07 8.261023e-01
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75 9.593750e-03 -3.756176e-01 5.700649e+01 1.365385e+03 1.819511e-05 3.184813e-06 2.561562e-04 1.268011e-01 4.852615e-04 4.648774e-02 1.813870e-05 1.171082e-06 8.259290e-01
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77 9.656250e-03 -3.599424e-01 5.572535e+01 1.287734e+03 1.569540e-05 2.220511e-06 1.878248e-04 1.304160e-01 3.407669e-04 4.317366e-02 2.038582e-05 1.742520e-06 8.258417e-01
78 9.687500e-03 -3.518989e-01 5.508399e+01 1.248750e+03 1.473085e-05 1.823357e-06 1.581895e-04 1.321593e-01 2.823319e-04 4.153025e-02 2.146417e-05 2.115224e-06 8.258298e-01
79 9.718750e-03 -3.437401e-01 5.444262e+01 1.209749e+03 1.391784e-05 1.478254e-06 1.316551e-04 1.338591e-01 2.322410e-04 3.989792e-02 2.246729e-05 2.523386e-06 8.258387e-01
80 9.750000e-03 -3.354844e-01 5.380164e+01 1.170805e+03 1.323002e-05 1.181676e-06 1.082328e-04 1.355150e-01 1.897477e-04 3.827826e-02 2.335443e-05 2.935539e-06 8.258681e-01
81 9.781250e-03 -3.271519e-01 5.316151e+01 1.131994e+03 1.264377e-05 9.299953e-07 8.787941e-05 1.371268e-01 1.540603e-04 3.667287e-02 2.407763e-05 3.317357e-06 8.259174e-01
82 9.812500e-03 -3.187638e-01 5.252275e+01 1.093397e+03 1.213850e-05 7.194549e-07 7.048892e-05 1.386944e-01 1.243726e-04 3.508340e-02 2.458130e-05 3.639986e-06 8.259863e-01
83 9.843750e-03 -3.103430e-01 5.188590e+01 1.055098e+03 1.169676e-05 5.461716e-07 5.589007e-05 1.402177e-01 9.989375e-05 3.351151e-02 2.480514e-05 3.885075e-06 8.260741e-01
84 9.875000e-03 -3.019132e-01 5.125155e+01 1.017181e+03 1.130417e-05 4.061514e-07 4.385153e-05 1.416968e-01 7.987357e-05 3.195885e-02 2.469123e-05 4.045655e-06 8.261802e-01
85 9.890625e-03 -2.977058e-01 5.093557e+01 9.983974e+02 1.112357e-05 3.475853e-07 3.873587e-05 1.424135e-01 7.135603e-05 3.119707e-02 2.449129e-05 4.094480e-06 8.262393e-01
86 9.906250e-03 -2.935060e-01 5.062047e+01 9.797437e+02 1.095113e-05 2.957617e-07 3.415324e-05 1.431192e-01 6.370075e-05 3.044068e-02 2.419107e-05 4.123597e-06 8.263027e-01
87 9.921875e-03 -2.893169e-01 5.030635e+01 9.612304e+02 1.078580e-05 2.501720e-07 3.006540e-05 1.438139e-01 5.683322e-05 2.968985e-02 2.378850e-05 4.134217e-06 8.263703e-01
88 9.937500e-03 -2.851419e-01 4.999332e+01 9.428685e+02 1.062664e-05 2.103106e-07 2.643360e-05 1.444977e-01 5.068353e-05 2.894481e-02 2.328387e-05 4.127753e-06 8.264421e-01
89 9.968750e-03 -2.768406e-01 4.937074e+01 9.066311e+02 1.032158e-05 1.457254e-07 2.036223e-05 1.458448e-01 4.023874e-05 2.745911e-02 2.196776e-05 4.068052e-06 8.265990e-01
90 1.000000e-02 -2.686316e-01 4.875357e+01 8.711143e+02 1.003276e-05 9.834355e-08 1.566028e-05 1.471478e-01 3.193160e-05 2.599939e-02 2.030575e-05 3.959271e-06 8.267708e-01
91 1.003125e-02 -2.605404e-01 4.814267e+01 8.363970e+02 9.756118e-06 6.459492e-08 1.205362e-05 1.484063e-01 2.535716e-05 2.456743e-02 1.838110e-05 3.813526e-06 8.269568e-01
92 1.006250e-02 -2.525921e-01 4.753895e+01 8.025543e+02 9.488580e-06 4.129712e-08 9.304492e-06 1.496202e-01 2.017340e-05 2.316503e-02 1.630060e-05 3.641469e-06 8.271558e-01
93 1.009375e-02 -2.448111e-01 4.694334e+01 7.696567e+02 9.227798e-06 2.572748e-08 7.215183e-06 1.507889e-01 1.609540e-05 2.179405e-02 1.417830e-05 3.451958e-06 8.273668e-01
94 1.012500e-02 -2.372215e-01 4.635686e+01 7.377701e+02 8.971993e-06 1.565793e-08 5.627080e-06 1.519121e-01 1.288927e-05 2.045642e-02 1.211892e-05 3.252064e-06 8.275887e-01
95 1.015625e-02 -2.298464e-01 4.578052e+01 7.069558e+02 8.719827e-06 9.349459e-09 4.416577e-06 1.529891e-01 1.036602e-05 1.915412e-02 1.020498e-05 3.047272e-06 8.278200e-01
96 1.018750e-02 -2.227085e-01 4.521537e+01 6.772701e+02 8.470316e-06 5.510600e-09 3.489470e-06 1.540194e-01 8.375199e-06 1.788921e-02 8.490313e-06 2.841750e-06 8.280597e-01
97 1.021875e-02 -2.158299e-01 4.466247e+01 6.487647e+02 8.222762e-06 3.230283e-09 2.775077e-06 1.550027e-01 6.798672e-06 1.666378e-02 7.000113e-06 2.638627e-06 8.283061e-01
98 1.025000e-02 -2.092319e-01 4.412288e+01 6.214864e+02 7.976700e-06 1.898071e-09 2.220855e-06 1.559383e-01 5.544643e-06 1.547997e-02 5.735925e-06 2.440234e-06 8.285578e-01
99 1.028125e-02 -2.029349e-01 4.359764e+01 5.954769e+02 7.731862e-06 1.124403e-09 1.787897e-06 1.568260e-01 4.542295e-06 1.433991e-02 4.683085e-06 2.248299e-06 8.288131e-01
100 1.031250e-02 -1.969588e-01 4.308778e+01 5.707726e+02 7.488135e-06 6.696630e-10 1.447375e-06 1.576653e-01 3.737197e-06 1.324572e-02 3.818375e-06 2.064095e-06 8.290704e-01
101 1.037500e-02 -1.860080e-01 4.211569e+01 5.253162e+02 6.995133e-06 2.620810e-10 9.675857e-07 1.592284e-01 2.565283e-06 1.116395e-02 2.542748e-06 1.715214e-06 8.295929e-01
102 1.043750e-02 -1.764583e-01 4.121156e+01 4.851187e+02 6.508828e-06 1.074219e-10 6.586656e-07 1.605976e-01 1.784258e-06 9.290548e-03 1.699467e-06 1.405487e-06 8.300998e-01
103 1.050000e-02 -1.684024e-01 4.038036e+01 4.502141e+02 6.031774e-06 4.614499e-11 4.559204e-07 1.617771e-01 1.256012e-06 7.635067e-03 1.143065e-06 1.136512e-06 8.305778e-01
104 1.056250e-02 -1.618937e-01 3.962486e+01 4.205035e+02 5.567227e-06 2.071959e-11 3.206074e-07 1.627748e-01 8.943828e-07 6.201478e-03 7.755343e-07 9.080821e-07 8.310152e-01
105 1.062500e-02 -1.569375e-01 3.894513e+01 3.957457e+02 5.118747e-06 9.680087e-12 2.289175e-07 1.636025e-01 6.443202e-07 4.986802e-03 5.322478e-07 7.185044e-07 8.314035e-01
106 1.075000e-02 -1.512073e-01 3.778288e+01 3.589554e+02 4.264685e-06 2.512237e-12 1.247708e-07 1.648493e-01 3.526985e-07 3.111243e-03 2.652889e-07 4.332713e-07 8.320340e-01
107 1.087500e-02 -1.500246e-01 3.684022e+01 3.351803e+02 3.512418e-06 7.422917e-13 7.116694e-08 1.656465e-01 2.005155e-07 1.883788e-03 1.367436e-07 2.532254e-07 8.324655e-01
108 1.100000e-02 -1.523825e-01 3.606691e+01 3.207859e+02 2.868732e-06 2.464672e-13 4.220383e-08 1.661284e-01 1.181585e-07 1.130207e-03 7.333434e-08 1.469404e-07 8.327381e-01
109 1.125000e-02 -1.631718e-01 3.479913e+01 3.072505e+02 1.869335e-06 3.806880e-14 1.690672e-08 1.665884e-01 4.667362e-08 4.030792e-04 2.390180e-08 4.889039e-08 8.330065e-01
110 1.150000e-02 -1.775173e-01 3.370617e+01 3.023656e+02 1.193324e-06 6.413311e-15 6.844033e-09 1.667569e-01 1.862444e-08 1.354116e-04 7.567352e-09 1.517564e-08 8.331065e-01
111 1.175000e-02 -1.931029e-01 3.268253e+01 3.007509e+02 7.537912e-07 1.143904e-15 2.781440e-09 1.668141e-01 7.462435e-09 4.440788e-05 2.350044e-09 4.572639e-09 8.331407e-01
112 1.200000e-02 -2.088540e-01 3.168253e+01 3.002529e+02 4.775600e-07 2.298033e-16 1.180062e-09 1.668324e-01 3.125897e-09 1.541474e-05 7.786452e-10 1.468803e-09 8.331517e-01
113 1.250000e-02 -2.393802e-01 2.969827e+01 3.000390e+02 1.959406e-07 1.402482e-17 2.556698e-10 1.668406e-01 6.652873e-10 2.481334e-06 1.151892e-10 2.117352e-10 8.331567e-01
114 1.300000e-02 -2.680597e-01 2.771777e+01 3.000066e+02 8.200726e-08 1.060320e-18 5.966036e-11 1.668419e-01 1.527510e-10 4.388106e-07 1.875608e-11 3.374261e-11 8.331576e-01
115 1.400000e-02 -3.195289e-01 2.375798e+01 3.000004e+02 1.638422e-08 1.544109e-20 5.430226e-12 1.668422e-01 1.363642e-11 2.860196e-08 1.094868e-12 1.947147e-12 8.331578e-01
116 1.500000e-02 -3.630846e-01 1.979831e+01 3.000000e+02 3.071920e-09 2.105474e-22 4.502028e-13 1.668422e-01 1.108340e-12 1.683084e-09 5.737601e-14 1.011538e-13 8.331578e-01
117 1.600000e-02 -3.987215e-01 1.583865e+01 3.000000e+02 6.360592e-10 3.894261e-24 4.322952e-14 1.668422e-01 1.044241e-13 1.161794e-10 3.537950e-15 6.187059e-15 8.331578e-01
118 1.800000e-02 -4.462375e-01 7.919323e+00 3.000000e+02 5.297451e-11 1.081890e-26 1.508712e-15 1.668422e-01 3.570244e-15 2.847281e-12 7.693047e-17 1.334477e-16 8.331578e-01
119 2.000000e-02 -4.620761e-01 0.000000e+00 3.000000e+02 4.284535e-12 1.313887e-27 5.096932e-17 1.668422e-01 1.181532e-16 6.750026e-14 1.617745e-18 2.784278e-18 8.331578e-01