2. Density and specific enthalpy

Calculate density and specific enthalpy ofof pure NaCl.

Python code
import os
import numpy as np
import time
import linecache
import matplotlib.pyplot as plt
import matplotlib as mpl
from matplotlib import patches
import matplotlib.ticker as ticker
from matplotlib.ticker import MultipleLocator
from tabulate import tabulate
import copy
import warnings
warnings.filterwarnings("ignore", category=RuntimeWarning)
mpl.rcParams['font.family'] = 'Arial'  # default font family
mpl.rcParams['mathtext.fontset'] = 'cm'  # font for math
dpi=100 # > 100 means use jpg format in gallery
fmt_figs = ['pdf']  # ['svg','pdf']
figpath = '.'
result_path='../../../gallery_NaCl/pT'
def savefig(figname):
    for fmt_fig in fmt_figs:
        figname_full = '%s/%s.%s' % (figpath, figname, fmt_fig)
        plt.savefig(figname_full, bbox_inches='tight',dpi=dpi)
        print('figure saved: ', figname_full)
compare = lambda a,b : float(str('%.6e'%(a)))-float(str('%.6e'%(b)))
# Import package of xThermo
from xThermo import H2O
from xThermo import NaCl
from xThermo import H2ONaCl
sw_84 = H2ONaCl.cH2ONaCl("IAPS84")
sw_95 = H2ONaCl.cH2ONaCl("IAPWS95")
salt_84 = NaCl.cNaCl("IAPS84")
salt_95 = NaCl.cNaCl("IAPWS95")

def plot_Props(salt, scale='linear',enthalpy_FV='../../../gallery/H2ONaCl/Driesner2007b/Halite_enthalpy_Vehling20220112.txt'):
    # Fig. 4 of Driesner(2007a)
    T = np.linspace(0, 1100, 300) + 273.15
    P = np.linspace(1,5000,300)*1E5
    TT,PP = np.meshgrid(T,P)
    RHO,H = np.zeros_like(TT),np.zeros_like(TT)

    # calculate
    for i in range(0,TT.shape[0]):
        for j in range(0,TT.shape[1]):
            props = salt.UpdateState_TPX(TT[i][j], PP[i][j])
            RHO[i][j]=props.Rho
            H[i][j]=props.H
    fig,axes=plt.subplots(1,2,figsize=(16,7))
    for ax,prop,label,cmap in zip(axes,[RHO,H/1E6],['Density (kg/m$^{\mathregular{3}}$)','Specific enthalpy (MJ/kg)'],['rainbow','jet']):
        CS=ax.contourf(TT-273.15,PP/1E5,prop,levels=50,cmap=cmap)
        ax.set_yscale(scale)
        ax_cb=ax.inset_axes([0,1.02,1,0.05])
        plt.colorbar(CS,cax=ax_cb,label=label,orientation='horizontal',extend='both')
        ax_cb.xaxis.set_label_position('top')
        ax_cb.xaxis.set_ticks_position('top')
        # ax.yaxis.set_major_locator(mpl.ticker.LogLocator(base=10.0, numticks=20))
        ax.xaxis.set_major_locator(MultipleLocator(100))
        ax.set_xlim(T.min()-273.15, T.max()-273.15)
        ax.set_ylim(1, 5000)
        ax.grid(lw=0.2, color='gray')
        ax.set_xlabel('Temperature ($^{\circ}$C)')
        ax.set_ylabel('P (bar)')
    savefig('Props_NaCl_%s'%(salt.name_backend()))

    # 2. compare result with F.V. result
    # load T,P,H result from Falko Vehling table (personal communication)
    T0,P0,H0 = np.loadtxt(enthalpy_FV,skiprows=1,unpack=True)
    H_=np.zeros_like(H0)
    fpout = open('%s/Enthalpy_pT_%s.csv'%(result_path,salt.name_backend()),'w')
    fpout.write('T[C],P[bar],H(F.V.)[J/kg],H(xThermo),H(err)\n')
    for i in range(0,len(T0)):
        props = salt.UpdateState_TPX(T0[i]+273.15,P0[i]*1E5)
        H_[i]=props.H
        fpout.write('%.0f,%.0f,%.6e,%.6e,%.6e\n'%(T0[i],P0[i],H0[i],H_[i],compare(H0[i],H_[i])))
    fpout.close()
    # plot difference
    fig=plt.figure(figsize=(8,8))
    ax=plt.gca()
    # colormap
    norm = mpl.colors.CenteredNorm(vcenter=0)
    cmap=copy.deepcopy(plt.get_cmap('bwr'))
    cmap._segmentdata['red'][0,1:]=0
    cmap._segmentdata['green'][0,1:]=1
    cmap._segmentdata['blue'][0,1:]=0
    CS=ax.scatter(T0,P0, c=H0-H_,cmap=cmap,norm=norm)
    ax_cb=ax.inset_axes([0,1.02,1,0.05])
    plt.colorbar(CS,cax=ax_cb,label='Specific enthalpy (J/kg): F.V. result - xThermo',orientation='horizontal',extend='both')
    ax_cb.xaxis.set_label_position('top')
    ax_cb.xaxis.set_ticks_position('top')
    ax.patch.set_facecolor('k')
    ax.set_xlabel('Temperature ($^{\circ}$C)')
    ax.set_ylabel('P (bar)')
    savefig('Diff_NaCl_H')

Based on IAPS84 EOS

plot_Props(salt_84)
  • plot Props NaCl
  • plot Props NaCl

Out:

figure saved:  ./Props_NaCl_IAPS84.pdf
figure saved:  ./Diff_NaCl_H.pdf

Compare specific result with F.V.’s result

Result data calculated by xThermo based on both water EOS of IAPS84 and IAPWS95.

Table 13 Comparison between result of Falko Vehling(personal communication) and result calculated by xThermo.

T[C]

P[bar]

H(F.V.)[J/kg]

H(xThermo)

H(err)

25

100

2.773753e+04

2.773752e+04

1.000000e-02

25

200

3.219746e+04

3.219748e+04

-2.000000e-02

25

300

3.665594e+04

3.665596e+04

-2.000000e-02

25

400

4.111295e+04

4.111297e+04

-2.000000e-02

25

500

4.556851e+04

4.556850e+04

1.000000e-02

25

600

5.002261e+04

5.002255e+04

6.000000e-02

25

700

5.447526e+04

5.447513e+04

1.300000e-01

25

800

5.892644e+04

5.892623e+04

2.100000e-01

25

900

6.337617e+04

6.337587e+04

3.000000e-01

25

1000

6.782444e+04

6.782403e+04

4.100000e-01

25

1100

7.227125e+04

7.227072e+04

5.300000e-01

25

1200

7.671661e+04

7.671594e+04

6.700000e-01

25

1300

8.116050e+04

8.115969e+04

8.100000e-01

25

1400

8.560294e+04

8.560197e+04

9.700000e-01

25

1500

9.004392e+04

9.004278e+04

1.140000e+00

25

1600

9.448344e+04

9.448213e+04

1.310000e+00

25

1700

9.892150e+04

9.892001e+04

1.490000e+00

25

1800

1.033581e+05

1.033564e+05

1.700000e+00

25

1900

1.077933e+05

1.077914e+05

1.900000e+00

25

2000

1.122269e+05

1.122249e+05

2.000000e+00

50

100

4.977876e+04

4.977876e+04

0.000000e+00

50

200

5.423407e+04

5.423409e+04

-2.000000e-02

50

300

5.868794e+04

5.868797e+04

-3.000000e-02

50

400

6.314038e+04

6.314041e+04

-3.000000e-02

50

500

6.759139e+04

6.759139e+04

0.000000e+00

50

600

7.204096e+04

7.204092e+04

4.000000e-02

50

700

7.648911e+04

7.648901e+04

1.000000e-01

50

800

8.093581e+04

8.093565e+04

1.600000e-01

50

900

8.538109e+04

8.538084e+04

2.500000e-01

50

1000

8.982493e+04

8.982459e+04

3.400000e-01

50

1100

9.426734e+04

9.426689e+04

4.500000e-01

50

1200

9.870832e+04

9.870775e+04

5.700000e-01

50

1300

1.031479e+05

1.031472e+05

7.000000e-01

50

1400

1.075860e+05

1.075851e+05

9.000000e-01

50

1500

1.120227e+05

1.120217e+05

1.000000e+00

50

1600

1.164579e+05

1.164568e+05

1.100000e+00

50

1700

1.208917e+05

1.208904e+05

1.300000e+00

50

1800

1.253241e+05

1.253226e+05

1.500000e+00

50

1900

1.297550e+05

1.297534e+05

1.600000e+00

50

2000

1.341846e+05

1.341827e+05

1.900000e+00

75

100

7.191640e+04

7.191640e+04

0.000000e+00

75

200

7.636678e+04

7.636681e+04

-3.000000e-02

75

300

8.081576e+04

8.081580e+04

-4.000000e-02

75

400

8.526333e+04

8.526337e+04

-4.000000e-02

75

500

8.970949e+04

8.970951e+04

-2.000000e-02

75

600

9.415424e+04

9.415423e+04

1.000000e-02

75

700

9.859759e+04

9.859753e+04

6.000000e-02

75

800

1.030395e+05

1.030394e+05

1.000000e-01

75

900

1.074801e+05

1.074799e+05

2.000000e-01

75

1000

1.119192e+05

1.119189e+05

3.000000e-01

75

1100

1.163569e+05

1.163565e+05

4.000000e-01

75

1200

1.207932e+05

1.207927e+05

5.000000e-01

75

1300

1.252281e+05

1.252275e+05

6.000000e-01

75

1400

1.296616e+05

1.296609e+05

7.000000e-01

75

1500

1.340936e+05

1.340928e+05

8.000000e-01

75

1600

1.385243e+05

1.385234e+05

9.000000e-01

75

1700

1.429536e+05

1.429525e+05

1.100000e+00

75

1800

1.473814e+05

1.473802e+05

1.200000e+00

75

1900

1.518079e+05

1.518065e+05

1.400000e+00

75

2000

1.562329e+05

1.562314e+05

1.500000e+00

100

100

9.415867e+04

9.415867e+04

0.000000e+00

100

200

9.860382e+04

9.860385e+04

-3.000000e-02

100

300

1.030476e+05

1.030476e+05

0.000000e+00

100

400

1.074900e+05

1.074900e+05

0.000000e+00

100

500

1.119309e+05

1.119310e+05

-1.000000e-01

100

600

1.163706e+05

1.163706e+05

0.000000e+00

100

700

1.208088e+05

1.208088e+05

0.000000e+00

100

800

1.252456e+05

1.252456e+05

0.000000e+00

100

900

1.296811e+05

1.296810e+05

1.000000e-01

100

1000

1.341152e+05

1.341150e+05

2.000000e-01

100

1100

1.385479e+05

1.385476e+05

3.000000e-01

100

1200

1.429792e+05

1.429788e+05

4.000000e-01

100

1300

1.474091e+05

1.474087e+05

4.000000e-01

100

1400

1.518376e+05

1.518371e+05

5.000000e-01

100

1500

1.562648e+05

1.562642e+05

6.000000e-01

100

1600

1.606906e+05

1.606898e+05

8.000000e-01

100

1700

1.651150e+05

1.651141e+05

9.000000e-01

100

1800

1.695380e+05

1.695370e+05

1.000000e+00

100

1900

1.739596e+05

1.739585e+05

1.100000e+00

100

2000

1.783798e+05

1.783787e+05

1.100000e+00

125

100

1.165138e+05

1.165138e+05

0.000000e+00

125

200

1.209534e+05

1.209534e+05

0.000000e+00

125

300

1.253916e+05

1.253916e+05

0.000000e+00

125

400

1.298284e+05

1.298285e+05

-1.000000e-01

125

500

1.342639e+05

1.342639e+05

0.000000e+00

125

600

1.386980e+05

1.386981e+05

-1.000000e-01

125

700

1.431308e+05

1.431308e+05

0.000000e+00

125

800

1.475622e+05

1.475622e+05

0.000000e+00

125

900

1.519922e+05

1.519922e+05

0.000000e+00

125

1000

1.564209e+05

1.564208e+05

1.000000e-01

125

1100

1.608482e+05

1.608481e+05

1.000000e-01

125

1200

1.652742e+05

1.652740e+05

2.000000e-01

125

1300

1.696988e+05

1.696985e+05

3.000000e-01

125

1400

1.741221e+05

1.741217e+05

4.000000e-01

125

1500

1.785440e+05

1.785435e+05

5.000000e-01

125

1600

1.829645e+05

1.829640e+05

5.000000e-01

125

1700

1.873837e+05

1.873831e+05

6.000000e-01

125

1800

1.918015e+05

1.918008e+05

7.000000e-01

125

1900

1.962180e+05

1.962172e+05

8.000000e-01

125

2000

2.006331e+05

2.006322e+05

9.000000e-01

150

100

1.389901e+05

1.389901e+05

0.000000e+00

150

200

1.434237e+05

1.434237e+05

0.000000e+00

150

300

1.478559e+05

1.478560e+05

-1.000000e-01

150

400

1.522868e+05

1.522869e+05

-1.000000e-01

150

500

1.567164e+05

1.567165e+05

-1.000000e-01

150

600

1.611447e+05

1.611448e+05

-1.000000e-01

150

700

1.655716e+05

1.655717e+05

-1.000000e-01

150

800

1.699972e+05

1.699972e+05

0.000000e+00

150

900

1.744215e+05

1.744215e+05

0.000000e+00

150

1000

1.788444e+05

1.788443e+05

1.000000e-01

150

1100

1.832660e+05

1.832659e+05

1.000000e-01

150

1200

1.876863e+05

1.876861e+05

2.000000e-01

150

1300

1.921053e+05

1.921050e+05

3.000000e-01

150

1400

1.965229e+05

1.965225e+05

4.000000e-01

150

1500

2.009391e+05

2.009387e+05

4.000000e-01

150

1600

2.053541e+05

2.053536e+05

5.000000e-01

150

1700

2.097677e+05

2.097671e+05

6.000000e-01

150

1800

2.141800e+05

2.141793e+05

7.000000e-01

150

1900

2.185909e+05

2.185902e+05

7.000000e-01

150

2000

2.230005e+05

2.229997e+05

8.000000e-01

175

100

1.615956e+05

1.615956e+05

0.000000e+00

175

200

1.660229e+05

1.660229e+05

0.000000e+00

175

300

1.704488e+05

1.704489e+05

-1.000000e-01

175

400

1.748734e+05

1.748735e+05

-1.000000e-01

175

500

1.792967e+05

1.792968e+05

-1.000000e-01

175

600

1.837188e+05

1.837188e+05

0.000000e+00

175

700

1.881395e+05

1.881395e+05

0.000000e+00

175

800

1.925589e+05

1.925588e+05

1.000000e-01

175

900

1.969770e+05

1.969769e+05

1.000000e-01

175

1000

2.013937e+05

2.013936e+05

1.000000e-01

175

1100

2.058092e+05

2.058090e+05

2.000000e-01

175

1200

2.102234e+05

2.102231e+05

3.000000e-01

175

1300

2.146363e+05

2.146359e+05

4.000000e-01

175

1400

2.190479e+05

2.190474e+05

5.000000e-01

175

1500

2.234581e+05

2.234576e+05

5.000000e-01

175

1600

2.278671e+05

2.278665e+05

6.000000e-01

175

1700

2.322748e+05

2.322740e+05

8.000000e-01

175

1800

2.366811e+05

2.366803e+05

8.000000e-01

175

1900

2.410861e+05

2.410852e+05

9.000000e-01

175

2000

2.454899e+05

2.454889e+05

1.000000e+00

200

100

1.843388e+05

1.843388e+05

0.000000e+00

200

200

1.887592e+05

1.887593e+05

-1.000000e-01

200

300

1.931784e+05

1.931784e+05

0.000000e+00

200

400

1.975963e+05

1.975963e+05

0.000000e+00

200

500

2.020129e+05

2.020129e+05

0.000000e+00

200

600

2.064282e+05

2.064282e+05

0.000000e+00

200

700

2.108423e+05

2.108423e+05

0.000000e+00

200

800

2.152551e+05

2.152550e+05

1.000000e-01

200

900

2.196666e+05

2.196664e+05

2.000000e-01

200

1000

2.240768e+05

2.240766e+05

2.000000e-01

200

1100

2.284858e+05

2.284855e+05

3.000000e-01

200

1200

2.328935e+05

2.328930e+05

5.000000e-01

200

1300

2.372999e+05

2.372993e+05

6.000000e-01

200

1400

2.417050e+05

2.417043e+05

7.000000e-01

200

1500

2.461089e+05

2.461081e+05

8.000000e-01

200

1600

2.505115e+05

2.505105e+05

1.000000e+00

200

1700

2.549128e+05

2.549117e+05

1.100000e+00

200

1800

2.593128e+05

2.593116e+05

1.200000e+00

200

1900

2.637115e+05

2.637102e+05

1.300000e+00

200

2000

2.681090e+05

2.681075e+05

1.500000e+00

225

100

2.072277e+05

2.072277e+05

0.000000e+00

225

200

2.116409e+05

2.116410e+05

-1.000000e-01

225

300

2.160529e+05

2.160529e+05

0.000000e+00

225

400

2.204636e+05

2.204636e+05

0.000000e+00

225

500

2.248731e+05

2.248730e+05

1.000000e-01

225

600

2.292813e+05

2.292812e+05

1.000000e-01

225

700

2.336883e+05

2.336881e+05

2.000000e-01

225

800

2.380940e+05

2.380938e+05

2.000000e-01

225

900

2.424985e+05

2.424981e+05

4.000000e-01

225

1000

2.469018e+05

2.469013e+05

5.000000e-01

225

1100

2.513037e+05

2.513031e+05

6.000000e-01

225

1200

2.557045e+05

2.557037e+05

8.000000e-01

225

1300

2.601040e+05

2.601031e+05

9.000000e-01

225

1400

2.645023e+05

2.645011e+05

1.200000e+00

225

1500

2.688993e+05

2.688980e+05

1.300000e+00

225

1600

2.732951e+05

2.732935e+05

1.600000e+00

225

1700

2.776896e+05

2.776879e+05

1.700000e+00

225

1800

2.820829e+05

2.820809e+05

2.000000e+00

225

1900

2.864749e+05

2.864727e+05

2.200000e+00

225

2000

2.908657e+05

2.908633e+05

2.400000e+00

250

100

2.302707e+05

2.302707e+05

0.000000e+00

250

200

2.346762e+05

2.346762e+05

0.000000e+00

250

300

2.390805e+05

2.390805e+05

0.000000e+00

250

400

2.434835e+05

2.434835e+05

0.000000e+00

250

500

2.478854e+05

2.478853e+05

1.000000e-01

250

600

2.522860e+05

2.522858e+05

2.000000e-01

250

700

2.566855e+05

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550

800

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900

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550

1000

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1100

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1200

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1300

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1400

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1500

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1600

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1700

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1800

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550

1900

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2000

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575

100

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575

200

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600

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575

700

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575

800

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575

900

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575

1000

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575

1100

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575

1200

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575

1300

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575

1400

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575

1500

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575

1600

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575

1700

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1800

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575

1900

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575

2000

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600

100

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600

200

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300

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400

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500

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700

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800

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600

900

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600

1000

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600

1100

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600

1200

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600

1300

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600

1400

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1500

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600

1600

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1700

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1800

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600

1900

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600

2000

6.540263e+05

6.539058e+05

1.205000e+02

625

100

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5.999973e+05

3.000000e-01

625

200

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625

300

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625

400

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625

500

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625

600

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625

700

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1.690000e+01

625

800

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6.294724e+05

2.210000e+01

625

900

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2.800000e+01

625

1000

6.379209e+05

6.378863e+05

3.460000e+01

625

1100

6.421339e+05

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4.190000e+01

625

1200

6.463468e+05

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5.000000e+01

625

1300

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625

1400

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625

1500

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7.810000e+01

625

1600

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8.890000e+01

625

1700

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625

1800

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625

1900

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1.255000e+02

625

2000

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6.799056e+05

1.390000e+02

650

100

6.266248e+05

6.266244e+05

4.000000e-01

650

200

6.308201e+05

6.308185e+05

1.600000e+00

650

300

6.350153e+05

6.350118e+05

3.500000e+00

650

400

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6.300000e+00

650

500

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650

600

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1.420000e+01

650

700

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6.517769e+05

1.940000e+01

650

800

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6.559661e+05

2.540000e+01

650

900

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6.601546e+05

3.210000e+01

650

1000

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6.643422e+05

3.970000e+01

650

1100

6.685771e+05

6.685290e+05

4.810000e+01

650

1200

6.727722e+05

6.727150e+05

5.720000e+01

650

1300

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6.769001e+05

6.730000e+01

650

1400

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7.800000e+01

650

1500

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6.852681e+05

8.960000e+01

650

1600

6.895528e+05

6.894508e+05

1.020000e+02

650

1700

6.937479e+05

6.936328e+05

1.151000e+02

650

1800

6.979430e+05

6.978139e+05

1.291000e+02

650

1900

7.021381e+05

7.019943e+05

1.438000e+02

650

2000

7.063331e+05

7.061738e+05

1.593000e+02

675

100

6.535460e+05

6.535455e+05

5.000000e-01

675

200

6.577213e+05

6.577196e+05

1.700000e+00

675

300

6.618968e+05

6.618928e+05

4.000000e+00

675

400

6.660725e+05

6.660653e+05

7.200000e+00

675

500

6.702482e+05

6.702370e+05

1.120000e+01

675

600

6.744241e+05

6.744079e+05

1.620000e+01

675

700

6.786001e+05

6.785780e+05

2.210000e+01

675

800

6.827762e+05

6.827473e+05

2.890000e+01

675

900

6.869525e+05

6.869158e+05

3.670000e+01

675

1000

6.911289e+05

6.910836e+05

4.530000e+01

675

1100

6.953054e+05

6.952506e+05

5.480000e+01

675

1200

6.994820e+05

6.994167e+05

6.530000e+01

675

1300

7.036588e+05

7.035821e+05

7.670000e+01

675

1400

7.078356e+05

7.077467e+05

8.890000e+01

675

1500

7.120127e+05

7.119106e+05

1.021000e+02

675

1600

7.161898e+05

7.160736e+05

1.162000e+02

675

1700

7.203670e+05

7.202359e+05

1.311000e+02

675

1800

7.245444e+05

7.243974e+05

1.470000e+02

675

1900

7.287219e+05

7.285581e+05

1.638000e+02

675

2000

7.328996e+05

7.327181e+05

1.815000e+02

700

100

6.807693e+05

6.807688e+05

5.000000e-01

700

200

6.849238e+05

6.849218e+05

2.000000e+00

700

300

6.890786e+05

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4.500000e+00

700

400

6.932337e+05

6.932256e+05

8.100000e+00

700

500

6.973890e+05

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1.270000e+01

700

600

7.015446e+05

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1.830000e+01

700

700

7.057005e+05

7.056755e+05

2.500000e+01

700

800

7.098567e+05

7.098239e+05

3.280000e+01

700

900

7.140131e+05

7.139716e+05

4.150000e+01

700

1000

7.181698e+05

7.181185e+05

5.130000e+01

700

1100

7.223268e+05

7.222646e+05

6.220000e+01

700

1200

7.264840e+05

7.264101e+05

7.390000e+01

700

1300

7.306415e+05

7.305547e+05

8.680000e+01

700

1400

7.347993e+05

7.346986e+05

1.007000e+02

700

1500

7.389574e+05

7.388417e+05

1.157000e+02

700

1600

7.431157e+05

7.429841e+05

1.316000e+02

700

1700

7.472743e+05

7.471257e+05

1.486000e+02

700

1800

7.514332e+05

7.512666e+05

1.666000e+02

700

1900

7.555924e+05

7.554067e+05

1.857000e+02

700

2000

7.597518e+05

7.595461e+05

2.057000e+02

725

100

7.083032e+05

7.083026e+05

6.000000e-01

725

200

7.124358e+05

7.124336e+05

2.200000e+00

725

300

7.165689e+05

7.165638e+05

5.100000e+00

725

400

7.207025e+05

7.206933e+05

9.200000e+00

725

500

7.248364e+05

7.248221e+05

1.430000e+01

725

600

7.289708e+05

7.289501e+05

2.070000e+01

725

700

7.331057e+05

7.330774e+05

2.830000e+01

725

800

7.372409e+05

7.372040e+05

3.690000e+01

725

900

7.413766e+05

7.413298e+05

4.680000e+01

725

1000

7.455127e+05

7.454549e+05

5.780000e+01

725

1100

7.496493e+05

7.495792e+05

7.010000e+01

725

1200

7.537862e+05

7.537029e+05

8.330000e+01

725

1300

7.579237e+05

7.578258e+05

9.790000e+01

725

1400

7.620615e+05

7.619479e+05

1.136000e+02

725

1500

7.661998e+05

7.660694e+05

1.304000e+02

725

1600

7.703385e+05

7.701901e+05

1.484000e+02

725

1700

7.744776e+05

7.743101e+05

1.675000e+02

725

1800

7.786171e+05

7.784293e+05

1.878000e+02

725

1900

7.827571e+05

7.825479e+05

2.092000e+02

725

2000

7.868975e+05

7.866657e+05

2.318000e+02

750

100

7.361557e+05

7.361550e+05

7.000000e-01

750

200

7.402655e+05

7.402630e+05

2.500000e+00

750

300

7.443759e+05

7.443702e+05

5.700000e+00

750

400

7.484870e+05

7.484767e+05

1.030000e+01

750

500

7.525986e+05

7.525824e+05

1.620000e+01

750

600

7.567108e+05

7.566875e+05

2.330000e+01

750

700

7.608236e+05

7.607919e+05

3.170000e+01

750

800

7.649370e+05

7.648955e+05

4.150000e+01

750

900

7.690510e+05

7.689985e+05

5.250000e+01

750

1000

7.731657e+05

7.731007e+05

6.500000e+01

750

1100

7.772809e+05

7.772023e+05

7.860000e+01

750

1200

7.813967e+05

7.813031e+05

9.360000e+01

750

1300

7.855131e+05

7.854032e+05

1.099000e+02

750

1400

7.896301e+05

7.895027e+05

1.274000e+02

750

1500

7.937477e+05

7.936014e+05

1.463000e+02

750

1600

7.978659e+05

7.976994e+05

1.665000e+02

750

1700

8.019847e+05

8.017967e+05

1.880000e+02

750

1800

8.061041e+05

8.058933e+05

2.108000e+02

750

1900

8.102241e+05

8.099893e+05

2.348000e+02

750

2000

8.143447e+05

8.140845e+05

2.602000e+02

775

100

7.643351e+05

7.643344e+05

7.000000e-01

775

200

7.684211e+05

7.684182e+05

2.900000e+00

775

300

7.725078e+05

7.725013e+05

6.500000e+00

775

400

7.765953e+05

7.765838e+05

1.150000e+01

775

500

7.806836e+05

7.806655e+05

1.810000e+01

775

600

7.847726e+05

7.847466e+05

2.600000e+01

775

700

7.888625e+05

7.888270e+05

3.550000e+01

775

800

7.929531e+05

7.929067e+05

4.640000e+01

775

900

7.970444e+05

7.969857e+05

5.870000e+01

775

1000

8.011366e+05

8.010640e+05

7.260000e+01

775

1100

8.052295e+05

8.051417e+05

8.780000e+01

775

1200

8.093232e+05

8.092187e+05

1.045000e+02

775

1300

8.134177e+05

8.132950e+05

1.227000e+02

775

1400

8.175130e+05

8.173706e+05

1.424000e+02

775

1500

8.216090e+05

8.214456e+05

1.634000e+02

775

1600

8.257059e+05

8.255199e+05

1.860000e+02

775

1700

8.298035e+05

8.295935e+05

2.100000e+02

775

1800

8.339018e+05

8.336664e+05

2.354000e+02

775

1900

8.380010e+05

8.377387e+05

2.623000e+02

775

2000

8.421009e+05

8.418103e+05

2.906000e+02

800

100

7.928497e+05

7.928489e+05

8.000000e-01

800

200

7.969107e+05

7.969075e+05

3.200000e+00

800

300

8.009727e+05

8.009655e+05

7.200000e+00

800

400

8.050356e+05

8.050228e+05

1.280000e+01

800

500

8.090995e+05

8.090794e+05

2.010000e+01

800

600

8.131644e+05

8.131354e+05

2.900000e+01

800

700

8.172302e+05

8.171907e+05

3.950000e+01

800

800

8.212971e+05

8.212454e+05

5.170000e+01

800

900

8.253648e+05

8.252994e+05

6.540000e+01

800

1000

8.294336e+05

8.293528e+05

8.080000e+01

800

1100

8.335033e+05

8.334055e+05

9.780000e+01

800

1200

8.375739e+05

8.374576e+05

1.163000e+02

800

1300

8.416456e+05

8.415090e+05

1.366000e+02

800

1400

8.457182e+05

8.455597e+05

1.585000e+02

800

1500

8.497918e+05

8.496099e+05

1.819000e+02

800

1600

8.538663e+05

8.536593e+05

2.070000e+02

800

1700

8.579418e+05

8.577081e+05

2.337000e+02

800

1800

8.620183e+05

8.617563e+05

2.620000e+02

800

1900

8.660957e+05

8.658038e+05

2.919000e+02

800

2000

8.701741e+05

8.698507e+05

3.234000e+02

Total running time of the script: ( 0 minutes 8.602 seconds)

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