This is an old revision of the document!
Ground state in ligand field calculations for Cerium
Dear developers, I wrote a simple code to calculate the ground state of cerium compounds using Ligand field calculation without crytal elcetric field. Without spin-orbit ,I think the code works correctly and gives me the energies and states with expected weights for configurations $L^{14} f^0$,$L^{13} f^{1}$, and $L^{12} f^{2}$
—The $L^{12} f^{2}$ configuration has an energy $2*\Delta+U_{ff}$
—The $L^{13} f^{1}$ configuration has an energy $\Delta$
—The $L^{14} f^0$ configuration has an energy 0
Please I would like to known if it possible to calculate in Quanty the weight of the configuration $L^{13} f^{1}_{5/2}$ and $L^{13} f^{1}_{7/2}$ when I add spin-orbit (zeta_4f = 0.087 for $Ce^{3+}$ )
—The $L^{12} f^{2}$ configuration has an energy $2*\Delta+U_{ff}$
—The $L^{13} f^{1}_{7/2}$ configuration has an energy $\Delta$ + $\Delta$so
—The $L^{13} f^{1}_{5/2}$ configuration has an energy $\Delta$
—The $L^{14} f^0$ configuration has an energy 0
Secondly, I don't understand why Quanty gime in output 322 states. I expected to have 106 states with 6 $f^1_{5/2}$ states and 8 $f^1_{7/2}$ states.
All the best,
Bodry
here is the scrip and the output:
Verbosity(0*0000)
NF = 38
NB = 0
IndexDn_3d = {0,2,4,6,8}
IndexUp_3d = {1,3,5,7,9}
IndexDn_4f = {10,12,14,16,18,20,22}
IndexUp_4f = {11,13,15,17,19,21,23}
IndexDn_Lf = {24,26,28,30,32,34,36}
IndexUp_Lf = {25,27,29,31,33,35,37}
OppSx_4f = NewOperator("Sx", NF, IndexUp_4f,IndexDn_4f)
OppSy_4f = NewOperator("Sy", NF, IndexUp_4f,IndexDn_4f)
OppSz_4f = NewOperator("Sz", NF, IndexUp_4f,IndexDn_4f)
OppSsqr_4f = NewOperator("Ssqr", NF, IndexUp_4f,IndexDn_4f)
OppSplus_4f = NewOperator("Splus", NF, IndexUp_4f,IndexDn_4f)
OppSmin_4f = NewOperator("Smin", NF, IndexUp_4f,IndexDn_4f)
OppLx_4f = NewOperator("Lx", NF, IndexUp_4f,IndexDn_4f)
OppLy_4f = NewOperator("Ly", NF, IndexUp_4f,IndexDn_4f)
OppLz_4f = NewOperator("Lz", NF, IndexUp_4f,IndexDn_4f)
OppLsqr_4f = NewOperator("Lsqr", NF, IndexUp_4f,IndexDn_4f)
OppLplus_4f = NewOperator("Lplus", NF, IndexUp_4f,IndexDn_4f)
OppLmin_4f = NewOperator("Lmin", NF, IndexUp_4f,IndexDn_4f)
OppJx_4f = NewOperator("Jx", NF, IndexUp_4f,IndexDn_4f)
OppJy_4f = NewOperator("Jy", NF, IndexUp_4f,IndexDn_4f)
OppJz_4f = NewOperator("Jz", NF, IndexUp_4f,IndexDn_4f)
OppJsqr_4f = NewOperator("Jsqr", NF, IndexUp_4f,IndexDn_4f)
OppJplus_4f = NewOperator("Jplus", NF, IndexUp_4f,IndexDn_4f)
OppJmin_4f = NewOperator("Jmin", NF, IndexUp_4f,IndexDn_4f)
Oppldots_4f = NewOperator("ldots", NF, IndexUp_4f,IndexDn_4f)
Oppldots_3d = NewOperator('ldots', NF, IndexUp_3d, IndexDn_3d)
-- Angular momentum operator for the figand f-shell
OppSx_Lf = NewOperator("Sx", NF, IndexUp_Lf,IndexDn_Lf)
OppSy_Lf = NewOperator("Sy", NF, IndexUp_Lf,IndexDn_Lf)
OppSz_Lf = NewOperator("Sz", NF, IndexUp_Lf,IndexDn_Lf)
OppSsqr_Lf = NewOperator("Ssqr", NF, IndexUp_Lf,IndexDn_Lf)
OppSplus_Lf = NewOperator("Splus", NF, IndexUp_Lf,IndexDn_Lf)
OppSmin_Lf = NewOperator("Smin", NF, IndexUp_Lf,IndexDn_Lf)
OppLx_Lf = NewOperator("Lx", NF, IndexUp_Lf,IndexDn_Lf)
OppLy_Lf = NewOperator("Ly", NF, IndexUp_Lf,IndexDn_Lf)
OppLz_Lf = NewOperator("Lz", NF, IndexUp_Lf,IndexDn_Lf)
OppLsqr_Lf = NewOperator("Lsqr", NF, IndexUp_Lf,IndexDn_Lf)
OppLplus_Lf = NewOperator("Lplus", NF, IndexUp_Lf,IndexDn_Lf)
OppLmin_Lf = NewOperator("Lmin", NF, IndexUp_Lf,IndexDn_Lf)
OppJx_Lf = NewOperator("Jx", NF, IndexUp_Lf,IndexDn_Lf)
OppJy_Lf = NewOperator("Jy", NF, IndexUp_Lf,IndexDn_Lf)
OppJz_Lf = NewOperator("Jz", NF, IndexUp_Lf,IndexDn_Lf)
OppJsqr_Lf = NewOperator("Jsqr", NF, IndexUp_Lf,IndexDn_Lf)
OppJplus_Lf = NewOperator("Jplus", NF, IndexUp_Lf,IndexDn_Lf)
OppJmin_Lf = NewOperator("Jmin", NF, IndexUp_Lf,IndexDn_Lf)
-- SUM OF THE OPERATOR
OppSx = OppSx_4f + OppSx_Lf
OppSy = OppSy_4f + OppSy_Lf
OppSz = OppSz_4f + OppSz_Lf
OppSsqr = OppSx*OppSx + OppSy*OppSy + OppSz*OppSz
OppLx = OppLx_4f + OppLx_Lf
OppLy = OppLy_4f + OppLy_Lf
OppLz = OppLz_4f + OppLz_Lf
OppLsqr = OppLx*OppLx + OppLy*OppLy + OppLz*OppLz
OppJx = OppJx_4f + OppJx_Lf
OppJy = OppJy_4f + OppJy_Lf
OppJz = OppJz_4f + OppJz_Lf
OppJsqr = OppJx*OppJx + OppJy*OppJy + OppJz*OppJz
OppF0_4f = NewOperator("U", NF, IndexUp_4f, IndexDn_4f, {1, 0, 0, 0})
OppF2_4f = NewOperator("U", NF, IndexUp_4f, IndexDn_4f, {0, 1, 0, 0})
OppF4_4f = NewOperator("U", NF, IndexUp_4f, IndexDn_4f, {0, 0, 1, 0})
OppF6_4f = NewOperator("U", NF, IndexUp_4f, IndexDn_4f, {0, 0, 0, 1})
OppF0_3d_4f = NewOperator('U', NF, IndexUp_3d, IndexDn_3d, IndexUp_4f, IndexDn_4f, {1, 0, 0}, {0, 0, 0});
OppF2_3d_4f = NewOperator('U', NF, IndexUp_3d, IndexDn_3d, IndexUp_4f, IndexDn_4f, {0, 1, 0}, {0, 0, 0});
OppF4_3d_4f = NewOperator('U', NF, IndexUp_3d, IndexDn_3d, IndexUp_4f, IndexDn_4f, {0, 0, 1}, {0, 0, 0});
OppG1_3d_4f = NewOperator("U", NF, IndexUp_3d, IndexDn_3d, IndexUp_4f, IndexDn_4f, {0, 0, 0}, {1, 0, 0})
OppG3_3d_4f = NewOperator("U", NF, IndexUp_3d, IndexDn_3d, IndexUp_4f, IndexDn_4f, {0, 0, 0}, {0, 1, 0})
OppG5_3d_4f = NewOperator("U", NF, IndexUp_3d, IndexDn_3d, IndexUp_4f, IndexDn_4f, {0, 0, 0}, {0, 0, 1})
OppNUp_4f = NewOperator("Number", NF, IndexUp_4f,IndexUp_4f,{1,1,1,1,1,1,1})
OppNDn_4f = NewOperator("Number", NF, IndexDn_4f,IndexDn_4f,{1,1,1,1,1,1,1})
OppN_4f = OppNUp_4f + OppNDn_4f
OppNUp_Lf = NewOperator("Number", NF, IndexUp_Lf,IndexUp_Lf,{1,1,1,1,1,1,1})
OppNDn_Lf = NewOperator("Number", NF, IndexDn_Lf,IndexDn_Lf,{1,1,1,1,1,1,1})
OppN_Lf = OppNUp_Lf + OppNDn_Lf
OppNUp_3d = NewOperator("Number", NF, IndexUp_3d, IndexUp_3d, {1, 1, 1, 1, 1})
OppNDn_3d = NewOperator("Number", NF, IndexDn_3d, IndexDn_3d, {1, 1, 1, 1, 1})
OppN_3d = OppNUp_3d + OppNDn_3d
zeta_4f_i = 0.087* 1.0
U_4f_4f_i = 8.5
F2_4f_4f_i = 0 * 0.8
F4_4f_4f_i = 0 * 0.8
F6_4f_4f_i = 0 * 0.8
F0_4f_4f_i = U_4f_4f_i + 4 / 195 * F2_4f_4f_i + 2 / 143 * F4_4f_4f_i + 100 / 5577 * F6_4f_4f_i
zeta_4f_f = 0.119 * 1.0
zeta_3d_f = 19.393 * 1.0
U_4f_4f_f = 8.5
U_3d_4f_f =- 10
F2_4f_4f_f = 10.10 * 0.8
F4_4f_4f_f = 6.35 * 0.8
F6_4f_4f_f = 4.57 * 0.8
F0_4f_4f_f = U_4f_4f_f + 4 / 195 * F2_4f_4f_f + 2 / 143 * F4_4f_4f_f + 100 / 5577 * F6_4f_4f_f
F2_3d_4f_f = 9.8 * 1
F4_3d_4f_f = 4.6* 1
G1_3d_4f_f = 7.3 * 1
G3_3d_4f_f = 4.2 * 1
G5_3d_4f_f = 3 * 1
F0_3d_4f_f = U_3d_4f_f + 3 / 70 * G1_3d_4f_f + 2 / 105 * G3_3d_4f_f + 5 / 231 * G5_3d_4f_f
Bz = 0.000001
H_i = Chop(F0_4f_4f_i *OppF0_4f + F2_4f_4f_i *OppF2_4f+ F4_4f_4f_i *OppF4_4f + F6_4f_4f_i *OppF6_4f + zeta_4f_i * Oppldots_4f + Bz*(2*OppSz_4f + OppLz_4f))
H_f = Chop(F0_4f_4f_f *OppF0_4f + F2_4f_4f_f *OppF2_4f+ F4_4f_4f_f *OppF4_4f + F6_4f_4f_f *OppF6_4f + G1_3d_4f_f *OppG1_3d_4f + G3_3d_4f_f *OppG3_3d_4f + G5_3d_4f_f *OppG5_3d_4f +
F0_3d_4f_f *OppF0_3d_4f+ F2_3d_4f_f *OppF2_3d_4f + F4_3d_4f_f *OppF4_3d_4f+ zeta_4f_f * Oppldots_4f + zeta_3d_f * Oppldots_3d + Bz*(2*OppSz_4f + OppLz_4f))
Delta_4f_Lf_i = -2.3
NElectrons_4f = 0
e_4f_i = (28 * Delta_4f_Lf_i - 27 * U_4f_4f_i * NElectrons_4f - U_4f_4f_i * NElectrons_4f^2) / (2 * (14 + NElectrons_4f))
e_Lf_i = NElectrons_4f * (-2 * Delta_4f_Lf_i + U_4f_4f_i * NElectrons_4f + U_4f_4f_i) / (2 * (NElectrons_4f + 14))
H_i = H_i + Chop( e_4f_i * OppN_4f + e_Lf_i * OppN_Lf)
Delta_4f_L1_f = -2.3
e_4f_f = (28 * Delta_4f_L1_f - 460 * U_3d_4f_f - U_4f_4f_f * NElectrons_4f^2 - 47 * U_4f_4f_f * NElectrons_4f) / (2 * (NElectrons_4f + 24))
e_3d_f = (28 * Delta_4f_L1_f - 2 * U_3d_4f_f * NElectrons_4f^2 - 30 * U_3d_4f_f * NElectrons_4f - 28 * U_3d_4f_f + U_4f_4f_f * NElectrons_4f^2 + U_4f_4f_f * NElectrons_4f) / (2 * (NElectrons_4f + 24))
e_Lf_f = (-2 * Delta_4f_L1_f * NElectrons_4f - 20 * Delta_4f_L1_f + 20 * U_3d_4f_f * NElectrons_4f + 20 * U_3d_4f_f + U_4f_4f_f * NElectrons_4f^2 + U_4f_4f_f * NElectrons_4f) / (2 * (NElectrons_4f + 24))
H_f = H_f + Chop( e_4f_f * OppN_4f + e_3d_f * OppN_3d + e_Lf_f * OppN_Lf)
NElectrons_3d = 10
V = 0.23
OppV = NewOperator("Number", NF, IndexUp_4f,IndexUp_Lf, {1,1,1,1,1,1,1}) + NewOperator("Number", NF, IndexDn_4f,IndexDn_Lf, {1,1,1,1,1,1,1})+ NewOperator("Number", NF, IndexUp_Lf,IndexUp_4f, {1,1,1,1,1,1,1})+ NewOperator("Number", NF, IndexDn_Lf,IndexDn_4f, {1,1,1,1,1,1,1})
H_i = H_i +Chop(V*OppV)
H_f = H_f +Chop(V*OppV)
NConfigurations = 3
InitialRestrictions = {NF, NB,{"1111111111 00000000000000 00000000000000",NElectrons_3d,NElectrons_3d}, {"0000000000 11111111111111 00000000000000",NElectrons_4f,NElectrons_4f}, {"0000000000 00000000000000 11111111111111",14,14}}
FinalRestrictions = {NF, NB,{"1111111111 00000000000000 00000000000000",NElectrons_3d -1,NElectrons_3d -1}, {"0000000000 11111111111111 00000000000000",NElectrons_4f,NElectrons_4f}, {"0000000000 00000000000000 11111111111111",14,14}}
CalculationRestrictions = {NF, NB, {'0000000000 00000000000000 11111111111111', 14 - (NConfigurations - 1), 14}}
Npsis = 322
psiList = Eigensystem(H_i, InitialRestrictions, Npsis, {{'restrictions', CalculationRestrictions}})
print(psiList)
Oppf1 = NewOperator ( "Identity" , NF )
Oppf1.Restrictions = { NF , NB , { "0000000000 11111111111111 00000000000000" , 1 , 1 } }
Oppf0 = NewOperator ( "Identity" , NF )
Oppf0.Restrictions = { NF , NB , { "0000000000 11111111111111 00000000000000" , 0 , 0 } }
Oppf2 = NewOperator ( "Identity" , NF )
Oppf2.Restrictions = { NF , NB , { "0000000000 11111111111111 00000000000000" , 2 , 2 } }
oppList={H_i, OppSsqr, OppLsqr, OppJsqr, OppSz_4f, OppLz_4f, Oppldots_4f, OppF2_4f, OppF4_4f, OppF6_4f, OppN_4f, OppN_Lf,Oppf0,Oppf1,Oppf2}
print(" # <E> <S^2> <L^2> <J^2> <S_z^4f> <L_z^4f> <l.s> <F[2]> <F[4]> <F[4]> <N^4f> <N^Lf> <W_4f^0> <W_4f^1> <W_4f^2> ");
for i = 1,#psiList do
io.write(string.format("%3i ",i))
for j = 1,#oppList do
expectationvalue = Chop(psiList[i]*oppList[j]*psiList[i])
io.write(string.format("%8.3f ",expectationvalue))
end
io.write("\n")
end
# <E> <S^2> <L^2> <J^2> <S_z^4f> <L_z^4f> <l.s> <F[2]> <F[4]> <F[4]> <N^4f> <N^Lf> <W_4f^0> <W_4f^1> <W_4f^2> 1 -2.828 0.251 0.251 0.000 0.000 -0.000 -1.170 -0.001 -0.000 -0.000 0.954 13.046 0.072 0.902 0.026 2 -2.575 1.755 11.755 12.000 0.357 -2.850 -2.001 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 3 -2.575 1.592 19.592 20.000 0.214 -1.710 -2.001 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 4 -2.575 1.510 23.510 24.000 0.071 -0.570 -2.001 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 5 -2.575 1.510 23.510 24.000 -0.071 0.570 -2.001 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 6 -2.575 1.592 19.592 20.000 -0.214 1.710 -2.001 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 7 -2.575 1.755 11.755 12.000 -0.357 2.850 -2.001 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 8 -2.574 1.330 13.110 9.163 0.308 -2.466 -1.996 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 9 -2.574 1.478 22.610 16.436 0.153 -1.224 -1.996 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 10 -2.574 1.527 25.702 18.803 -0.000 0.000 -1.996 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 11 -2.574 1.478 22.610 16.436 -0.153 1.224 -1.996 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 12 -2.574 1.330 13.110 9.163 -0.308 2.466 -1.996 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 13 -2.390 1.749 1.749 0.000 -0.000 -0.000 0.650 -0.001 -0.000 -0.000 1.003 12.997 0.014 0.969 0.017 14 -2.271 1.110 9.944 12.368 -0.455 -2.727 1.495 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 15 -2.271 1.349 18.554 24.087 -0.301 -1.807 1.495 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 16 -2.271 1.489 23.590 30.941 -0.150 -0.901 1.495 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 17 -2.271 1.535 25.254 33.207 0.000 0.000 1.495 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 18 -2.271 1.489 23.590 30.941 0.150 0.901 1.495 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 19 -2.271 1.349 18.554 24.087 0.301 1.807 1.495 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 20 -2.271 1.110 9.944 12.368 0.455 2.727 1.495 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 21 -2.270 1.755 11.755 12.000 -0.357 -2.136 1.499 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 22 -2.270 1.592 19.592 20.000 -0.214 -1.282 1.499 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 23 -2.270 1.510 23.510 24.000 -0.071 -0.427 1.499 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 24 -2.270 1.510 23.510 24.000 0.071 0.427 1.499 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 25 -2.270 1.592 19.592 20.000 0.214 1.282 1.499 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 26 -2.270 1.755 11.755 12.000 0.357 2.136 1.499 -0.000 -0.000 -0.000 1.016 12.984 0.000 0.984 0.016 27 0.253 0.001 0.001 0.000 0.000 0.000 0.016 -0.000 -0.000 -0.000 0.096 13.904 0.912 0.079 0.008 28 3.552 3.612 16.612 15.000 0.571 -4.571 -4.000 -0.114 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 29 3.552 2.755 31.719 26.750 0.521 -4.165 -4.000 -0.110 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 30 3.552 2.650 20.992 20.266 0.485 -3.881 -4.000 -0.095 -0.019 -0.000 2.000 12.000 0.000 0.000 1.000 31 3.552 3.469 35.469 36.000 0.429 -3.429 -4.000 -0.114 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 32 3.552 2.561 19.933 13.511 0.384 -3.070 -4.000 -0.084 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 33 3.552 2.804 36.778 33.313 0.372 -2.977 -4.000 -0.086 -0.022 -0.000 2.000 12.000 0.000 0.000 1.000 34 3.552 3.256 37.771 31.068 0.363 -2.907 -4.000 -0.089 -0.021 -0.000 2.000 12.000 0.000 0.000 1.000 35 3.552 2.886 40.691 29.404 0.310 -2.479 -4.000 -0.069 -0.025 -0.000 2.000 12.000 0.000 0.000 1.000 36 3.552 2.755 21.756 21.000 0.286 -2.286 -4.000 -0.026 -0.036 -0.000 2.000 12.000 0.000 0.000 1.000 37 3.552 3.061 35.061 36.000 0.286 -2.286 -4.000 -0.065 -0.027 -0.000 2.000 12.000 0.000 0.000 1.000 38 3.552 2.840 37.264 33.663 0.233 -1.862 -4.000 -0.063 -0.025 -0.000 2.000 12.000 0.000 0.000 1.000 39 3.552 2.844 43.111 37.319 0.225 -1.800 -4.000 -0.042 -0.030 -0.000 2.000 12.000 0.000 0.000 1.000 40 3.552 3.229 34.760 28.746 0.208 -1.664 -4.000 -0.035 -0.031 -0.000 2.000 12.000 0.000 0.000 1.000 41 3.552 2.548 26.150 25.246 0.161 -1.287 -4.000 -0.018 -0.020 -0.000 2.000 12.000 0.000 0.000 1.000 42 3.552 2.841 37.818 27.205 0.157 -1.255 -4.000 -0.035 -0.022 -0.000 2.000 12.000 0.000 0.000 1.000 43 3.552 2.980 42.980 44.000 0.143 -1.143 -4.000 -0.075 -0.025 -0.000 2.000 12.000 0.000 0.000 1.000 44 3.552 2.735 30.735 32.000 0.143 -1.143 -4.000 -0.016 -0.039 -0.000 2.000 12.000 0.000 0.000 1.000 45 3.552 2.923 33.166 29.522 0.091 -0.730 -4.000 -0.014 -0.024 -0.000 2.000 12.000 0.000 0.000 1.000 46 3.552 2.861 45.146 39.777 0.072 -0.574 -4.000 -0.016 -0.010 -0.000 2.000 12.000 0.000 0.000 1.000 47 3.552 3.060 42.780 36.893 0.067 -0.535 -4.000 -0.031 -0.003 -0.000 2.000 12.000 0.000 0.000 1.000 48 3.552 3.086 25.220 21.437 0.051 -0.406 -4.000 0.051 -0.008 -0.000 2.000 12.000 0.000 0.000 1.000 49 3.552 2.608 22.896 15.780 0.000 -0.000 -4.000 -0.048 -0.025 -0.000 2.000 12.000 0.000 0.000 1.000 50 3.552 2.988 47.218 34.401 0.000 -0.000 -4.000 -0.014 -0.006 -0.000 2.000 12.000 0.000 0.000 1.000 51 3.552 2.685 27.857 19.578 0.000 -0.000 -4.000 0.027 -0.013 -0.000 2.000 12.000 0.000 0.000 1.000 52 3.552 2.469 23.469 23.000 -0.000 0.000 -4.000 0.052 0.009 -0.000 2.000 12.000 0.000 0.000 1.000 53 3.552 2.816 38.816 40.000 -0.000 0.000 -4.000 0.003 0.020 -0.000 2.000 12.000 0.000 0.000 1.000 54 3.552 2.490 22.490 24.000 -0.000 0.000 -4.000 0.082 0.002 -0.000 2.000 12.000 0.000 0.000 1.000 55 3.552 3.086 25.219 21.437 -0.051 0.406 -4.000 0.051 -0.008 -0.000 2.000 12.000 0.000 0.000 1.000 56 3.552 3.060 42.780 36.893 -0.067 0.535 -4.000 -0.031 -0.003 -0.000 2.000 12.000 0.000 0.000 1.000 57 3.552 2.861 45.146 39.777 -0.072 0.574 -4.000 -0.016 -0.010 -0.000 2.000 12.000 0.000 0.000 1.000 58 3.552 2.923 33.166 29.522 -0.091 0.730 -4.000 -0.014 -0.024 -0.000 2.000 12.000 0.000 0.000 1.000 59 3.552 2.980 42.979 44.000 -0.143 1.143 -4.000 -0.075 -0.025 -0.000 2.000 12.000 0.000 0.000 1.000 60 3.552 2.735 30.735 32.000 -0.143 1.143 -4.000 -0.016 -0.039 -0.000 2.000 12.000 0.000 0.000 1.000 61 3.552 2.841 37.819 27.205 -0.157 1.255 -4.000 -0.035 -0.022 -0.000 2.000 12.000 0.000 0.000 1.000 62 3.552 2.548 26.150 25.246 -0.161 1.287 -4.000 -0.018 -0.020 -0.000 2.000 12.000 0.000 0.000 1.000 63 3.552 3.229 34.759 28.746 -0.208 1.664 -4.000 -0.035 -0.031 -0.000 2.000 12.000 0.000 0.000 1.000 64 3.552 2.844 43.111 37.319 -0.225 1.800 -4.000 -0.042 -0.030 -0.000 2.000 12.000 0.000 0.000 1.000 65 3.552 2.840 37.265 33.663 -0.233 1.862 -4.000 -0.063 -0.025 -0.000 2.000 12.000 0.000 0.000 1.000 66 3.552 2.755 21.757 21.002 -0.286 2.286 -4.000 -0.026 -0.036 -0.000 2.000 12.000 0.000 0.000 1.000 67 3.552 3.061 35.060 35.998 -0.286 2.286 -4.000 -0.065 -0.027 -0.000 2.000 12.000 0.000 0.000 1.000 68 3.552 2.886 40.692 29.405 -0.310 2.479 -4.000 -0.069 -0.025 -0.000 2.000 12.000 0.000 0.000 1.000 69 3.552 3.256 37.771 31.068 -0.363 2.907 -4.000 -0.089 -0.021 -0.000 2.000 12.000 0.000 0.000 1.000 70 3.552 2.804 36.778 33.313 -0.372 2.977 -4.000 -0.086 -0.022 -0.000 2.000 12.000 0.000 0.000 1.000 71 3.552 2.561 19.933 13.511 -0.384 3.069 -4.000 -0.084 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 72 3.552 3.469 35.469 36.000 -0.429 3.429 -4.000 -0.114 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 73 3.552 2.650 20.992 20.266 -0.485 3.881 -4.000 -0.095 -0.019 -0.000 2.000 12.000 0.000 0.000 1.000 74 3.552 2.755 31.719 26.750 -0.521 4.165 -4.000 -0.110 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 75 3.552 3.612 16.612 15.000 -0.571 4.571 -4.000 -0.114 -0.016 -0.000 2.000 12.000 0.000 0.000 1.000 76 3.580 2.682 14.463 9.163 0.158 -1.265 -3.923 -0.029 -0.019 -0.001 1.996 12.004 0.000 0.004 0.996 77 3.580 2.831 23.963 16.436 0.078 -0.628 -3.923 -0.049 -0.015 -0.001 1.996 12.004 0.000 0.004 0.996 78 3.580 2.879 27.055 18.803 -0.000 0.000 -3.923 -0.068 -0.026 -0.001 1.996 12.004 0.000 0.004 0.996 79 3.580 2.831 23.963 16.436 -0.079 0.628 -3.923 -0.049 -0.015 -0.001 1.996 12.004 0.000 0.004 0.996 80 3.580 2.682 14.463 9.163 -0.158 1.265 -3.923 -0.029 -0.019 -0.001 1.996 12.004 0.000 0.004 0.996 81 3.588 3.026 13.026 12.000 0.289 -2.295 -3.907 -0.045 -0.019 -0.001 1.995 12.005 0.000 0.005 0.995 82 3.588 2.903 20.903 20.000 0.173 -1.377 -3.907 -0.045 -0.019 -0.001 1.995 12.005 0.000 0.005 0.995 83 3.588 2.842 24.842 24.000 0.058 -0.459 -3.907 -0.045 -0.019 -0.001 1.995 12.005 0.000 0.005 0.995 84 3.588 2.842 24.842 24.000 -0.058 0.459 -3.907 -0.045 -0.019 -0.001 1.995 12.005 0.000 0.005 0.995 85 3.588 2.903 20.903 20.000 -0.173 1.377 -3.907 -0.045 -0.019 -0.001 1.995 12.005 0.000 0.005 0.995 86 3.588 3.026 13.026 12.000 -0.289 2.295 -3.907 -0.045 -0.019 -0.001 1.995 12.005 0.000 0.005 0.995 87 3.622 2.811 2.811 0.000 -0.000 0.000 -3.806 -0.043 -0.018 -0.001 1.991 12.009 0.000 0.009 0.991 88 3.856 1.911 12.134 12.313 -0.069 -5.412 -0.500 0.057 -0.003 -0.002 2.000 12.000 0.000 0.000 1.000 89 3.856 1.315 21.930 21.530 -0.147 -5.207 -0.500 0.038 -0.008 -0.002 2.000 12.000 0.000 0.000 1.000 90 3.856 2.561 29.582 32.630 -0.234 -4.404 -0.500 -0.024 -0.019 -0.003 2.000 12.000 0.000 0.000 1.000 91 3.856 2.378 32.344 28.804 -0.302 -3.961 -0.500 -0.033 -0.018 -0.007 2.000 12.000 0.000 0.000 1.000 92 3.856 2.166 31.151 33.249 0.007 -4.284 -0.500 -0.010 -0.015 -0.005 2.000 12.000 0.000 0.000 1.000 93 3.856 2.082 30.082 32.000 -0.143 -3.857 -0.500 -0.003 0.005 -0.005 2.000 12.000 0.000 0.000 1.000 94 3.856 2.618 33.901 36.996 -0.380 -3.279 -0.500 -0.061 -0.017 -0.008 2.000 12.000 0.000 0.000 1.000 95 3.856 2.082 30.082 32.000 0.143 -4.143 -0.500 -0.048 -0.021 -0.003 2.000 12.000 0.000 0.000 1.000 96 3.856 2.755 31.719 26.750 -0.194 -3.451 -0.500 -0.008 -0.002 -0.009 2.000 12.000 0.000 0.000 1.000 97 3.856 2.579 35.589 31.171 -0.456 -2.734 -0.500 -0.053 -0.015 -0.016 2.000 12.000 0.000 0.000 1.000 98 3.856 3.133 32.839 39.588 0.196 -3.822 -0.500 -0.050 -0.019 -0.006 2.000 12.000 0.000 0.000 1.000 99 3.856 2.650 20.992 20.266 0.057 -3.453 -0.500 -0.032 -0.017 -0.010 2.000 12.000 0.000 0.000 1.000 100 3.856 2.162 40.499 40.523 -0.148 -3.038 -0.500 -0.006 -0.008 -0.014 2.000 12.000 0.000 0.000 1.000 101 3.856 2.108 21.593 22.079 -0.039 -3.234 -0.500 -0.004 -0.005 -0.013 2.000 12.000 0.000 0.000 1.000 102 3.856 3.061 35.061 36.000 -0.286 -2.714 -0.500 -0.025 -0.025 -0.015 2.000 12.000 0.000 0.000 1.000 103 3.856 2.625 33.784 36.824 -0.524 -2.144 -0.500 -0.059 -0.014 -0.021 2.000 12.000 0.000 0.000 1.000 104 3.856 2.608 36.489 40.104 0.159 -3.376 -0.500 -0.036 -0.016 -0.010 2.000 12.000 0.000 0.000 1.000 105 3.856 3.256 37.771 31.068 -0.351 -2.193 -0.500 -0.017 -0.019 -0.024 2.000 12.000 0.000 0.000 1.000 106 3.856 2.692 41.499 47.530 -0.221 -2.327 -0.500 -0.006 -0.016 -0.021 2.000 12.000 0.000 0.000 1.000 107 3.856 2.563 32.529 28.804 -0.609 -1.507 -0.500 -0.026 -0.012 -0.038 2.000 12.000 0.000 0.000 1.000 108 3.856 3.061 35.061 36.000 0.286 -3.286 -0.500 -0.070 -0.017 -0.008 2.000 12.000 0.000 0.000 1.000 109 3.856 3.469 35.469 36.000 -0.429 -1.571 -0.500 -0.011 -0.016 -0.034 2.000 12.000 0.000 0.000 1.000 110 3.856 2.695 44.076 42.890 -0.302 -1.811 -0.500 -0.006 -0.015 -0.028 2.000 12.000 0.000 0.000 1.000 111 3.856 2.804 36.778 33.313 0.229 -2.834 -0.500 -0.046 -0.017 -0.013 2.000 12.000 0.000 0.000 1.000 112 3.856 2.706 29.790 32.717 -0.668 -1.005 -0.500 -0.015 -0.011 -0.047 2.000 12.000 0.000 0.000 1.000 113 3.856 3.289 37.322 45.646 0.351 -2.894 -0.500 -0.063 -0.015 -0.014 2.000 12.000 0.000 0.000 1.000 114 3.856 2.449 42.449 44.000 -0.143 -1.857 -0.500 0.030 -0.004 -0.029 2.000 12.000 0.000 0.000 1.000 115 3.856 2.383 45.615 47.377 0.003 -2.130 -0.500 0.009 -0.009 -0.024 2.000 12.000 0.000 0.000 1.000 116 3.856 3.229 34.760 28.746 -0.506 -0.950 -0.500 -0.006 -0.008 -0.046 2.000 12.000 0.000 0.000 1.000 117 3.856 2.860 42.571 48.796 -0.368 -1.207 -0.500 -0.002 -0.015 -0.037 2.000 12.000 0.000 0.000 1.000 118 3.856 2.449 42.449 44.000 0.143 -2.143 -0.500 0.003 -0.019 -0.024 2.000 12.000 0.000 0.000 1.000 119 3.856 2.783 38.282 42.370 0.309 -2.473 -0.500 -0.044 -0.015 -0.019 2.000 12.000 0.000 0.000 1.000 120 3.856 2.427 23.042 21.531 -0.765 -0.262 -0.500 0.051 -0.002 -0.082 2.000 12.000 0.000 0.000 1.000 121 3.856 2.844 43.111 37.319 -0.204 -1.371 -0.500 0.024 -0.008 -0.035 2.000 12.000 0.000 0.000 1.000 122 3.856 3.959 31.959 32.000 -0.571 -0.429 -0.500 -0.003 -0.001 -0.057 2.000 12.000 0.000 0.000 1.000 123 3.856 3.469 35.469 36.000 0.429 -2.429 -0.500 -0.068 -0.014 -0.017 2.000 12.000 0.000 0.000 1.000 124 3.856 2.777 41.114 40.523 -0.455 -0.584 -0.500 -0.002 -0.008 -0.045 2.000 12.000 0.000 0.000 1.000 125 3.856 2.869 21.904 24.650 -0.811 0.135 -0.500 0.073 0.001 -0.095 2.000 12.000 0.000 0.000 1.000 126 3.856 2.987 42.720 50.425 0.204 -1.777 -0.500 0.004 -0.017 -0.030 2.000 12.000 0.000 0.000 1.000 127 3.856 3.224 43.224 44.000 -0.286 -0.714 -0.500 0.022 -0.015 -0.046 2.000 12.000 0.000 0.000 1.000 128 3.856 2.840 37.264 33.663 0.376 -2.005 -0.500 -0.045 -0.015 -0.023 2.000 12.000 0.000 0.000 1.000 129 3.856 2.550 48.826 49.744 -0.151 -0.903 -0.500 0.025 -0.007 -0.037 2.000 12.000 0.000 0.000 1.000 130 3.856 2.548 26.150 25.246 0.018 -1.144 -0.500 0.005 -0.014 -0.030 2.000 12.000 0.000 0.000 1.000 131 3.856 2.174 26.044 26.617 -0.013 -1.077 -0.500 0.020 -0.008 -0.033 2.000 12.000 0.000 0.000 1.000 132 3.856 2.946 38.501 44.577 -0.512 -0.074 -0.500 0.000 -0.005 -0.053 2.000 12.000 0.000 0.000 1.000 133 3.856 3.086 25.220 21.437 -0.663 0.308 -0.500 0.009 -0.007 -0.060 2.000 12.000 0.000 0.000 1.000 134 3.856 3.247 35.644 43.356 0.503 -1.979 -0.500 -0.047 -0.013 -0.028 2.000 12.000 0.000 0.000 1.000 135 3.856 2.678 47.530 49.643 0.153 -1.227 -0.500 0.014 -0.011 -0.034 2.000 12.000 0.000 0.000 1.000 136 3.856 3.060 42.780 36.893 -0.362 -0.107 -0.500 0.011 -0.010 -0.047 2.000 12.000 0.000 0.000 1.000 137 3.856 4.531 24.531 24.000 -0.714 0.714 -0.500 0.014 -0.008 -0.063 2.000 12.000 0.000 0.000 1.000 138 3.856 3.224 43.224 44.000 0.286 -1.286 -0.500 0.008 -0.018 -0.038 2.000 12.000 0.000 0.000 1.000 139 3.856 2.838 45.722 53.237 -0.212 -0.270 -0.500 0.029 -0.009 -0.045 2.000 12.000 0.000 0.000 1.000 140 3.856 2.781 36.663 40.104 0.460 -1.569 -0.500 -0.032 -0.012 -0.032 2.000 12.000 0.000 0.000 1.000 141 3.856 2.658 31.643 33.250 -0.611 0.661 -0.500 -0.001 -0.008 -0.053 2.000 12.000 0.000 0.000 1.000 142 3.856 3.551 39.551 40.000 -0.429 0.429 -0.500 0.008 -0.007 -0.051 2.000 12.000 0.000 0.000 1.000 143 3.856 3.959 31.959 32.000 0.571 -1.571 -0.500 -0.041 -0.012 -0.034 2.000 12.000 0.000 0.000 1.000 144 3.856 2.861 45.146 39.777 0.215 -0.717 -0.500 0.020 -0.011 -0.041 2.000 12.000 0.000 0.000 1.000 145 3.856 2.835 46.068 47.377 -0.304 0.324 -0.500 0.011 -0.010 -0.042 2.000 12.000 0.000 0.000 1.000 146 3.856 3.108 30.570 36.447 -0.656 1.064 -0.500 -0.003 -0.009 -0.054 2.000 12.000 0.000 0.000 1.000 147 3.856 2.571 46.571 48.000 -0.143 0.143 -0.500 0.046 -0.003 -0.048 2.000 12.000 0.000 0.000 1.000 148 3.856 3.082 43.633 51.571 0.359 -0.847 -0.500 0.006 -0.012 -0.044 2.000 12.000 0.000 0.000 1.000 149 3.856 2.923 33.166 29.522 0.520 -1.159 -0.500 -0.026 -0.011 -0.038 2.000 12.000 0.000 0.000 1.000 150 3.856 2.466 50.361 52.010 -0.000 -0.000 -0.500 0.035 -0.003 -0.040 2.000 12.000 0.000 0.000 1.000 151 3.857 2.923 33.166 29.522 -0.520 1.159 -0.500 -0.026 -0.011 -0.038 2.000 12.000 0.000 0.000 1.000 152 3.857 3.082 43.633 51.571 -0.359 0.847 -0.500 0.006 -0.012 -0.044 2.000 12.000 0.000 0.000 1.000 153 3.857 2.571 46.571 48.000 0.143 -0.143 -0.500 0.046 -0.003 -0.048 2.000 12.000 0.000 0.000 1.000 154 3.857 3.108 30.571 36.448 0.656 -1.064 -0.500 -0.003 -0.009 -0.054 2.000 12.000 0.000 0.000 1.000 155 3.857 2.835 46.068 47.377 0.304 -0.324 -0.500 0.011 -0.010 -0.042 2.000 12.000 0.000 0.000 1.000 156 3.857 2.861 45.146 39.777 -0.215 0.717 -0.500 0.020 -0.011 -0.041 2.000 12.000 0.000 0.000 1.000 157 3.857 3.551 39.551 40.000 0.429 -0.429 -0.500 0.008 -0.007 -0.051 2.000 12.000 0.000 0.000 1.000 158 3.857 3.959 31.959 32.000 -0.571 1.571 -0.500 -0.041 -0.012 -0.034 2.000 12.000 0.000 0.000 1.000 159 3.857 2.658 31.643 33.250 0.611 -0.661 -0.500 -0.001 -0.008 -0.053 2.000 12.000 0.000 0.000 1.000 160 3.857 2.781 36.663 40.104 -0.460 1.569 -0.500 -0.032 -0.012 -0.032 2.000 12.000 0.000 0.000 1.000 161 3.857 2.838 45.722 53.237 0.212 0.270 -0.500 0.029 -0.009 -0.045 2.000 12.000 0.000 0.000 1.000 162 3.857 4.531 24.531 24.000 0.714 -0.714 -0.500 0.014 -0.008 -0.063 2.000 12.000 0.000 0.000 1.000 163 3.857 3.224 43.224 44.000 -0.286 1.286 -0.500 0.008 -0.018 -0.038 2.000 12.000 0.000 0.000 1.000 164 3.857 3.060 42.780 36.893 0.362 0.107 -0.500 0.011 -0.010 -0.047 2.000 12.000 0.000 0.000 1.000 165 3.857 2.678 47.530 49.643 -0.153 1.227 -0.500 0.014 -0.011 -0.034 2.000 12.000 0.000 0.000 1.000 166 3.857 3.247 35.644 43.356 -0.503 1.979 -0.500 -0.047 -0.013 -0.028 2.000 12.000 0.000 0.000 1.000 167 3.857 3.086 25.219 21.437 0.663 -0.308 -0.500 0.009 -0.007 -0.060 2.000 12.000 0.000 0.000 1.000 168 3.857 2.946 38.501 44.578 0.512 0.074 -0.500 0.000 -0.005 -0.053 2.000 12.000 0.000 0.000 1.000 169 3.857 2.174 26.044 26.617 0.013 1.076 -0.500 0.020 -0.008 -0.033 2.000 12.000 0.000 0.000 1.000 170 3.857 2.548 26.150 25.246 -0.018 1.144 -0.500 0.005 -0.014 -0.030 2.000 12.000 0.000 0.000 1.000 171 3.857 2.550 48.826 49.744 0.151 0.903 -0.500 0.025 -0.007 -0.037 2.000 12.000 0.000 0.000 1.000 172 3.857 2.840 37.265 33.663 -0.376 2.005 -0.500 -0.045 -0.015 -0.023 2.000 12.000 0.000 0.000 1.000 173 3.857 3.224 43.224 44.000 0.286 0.714 -0.500 0.022 -0.015 -0.046 2.000 12.000 0.000 0.000 1.000 174 3.857 2.987 42.720 50.426 -0.204 1.777 -0.500 0.004 -0.017 -0.030 2.000 12.000 0.000 0.000 1.000 175 3.857 2.869 21.904 24.650 0.811 -0.135 -0.500 0.073 0.001 -0.095 2.000 12.000 0.000 0.000 1.000 176 3.857 2.777 41.114 40.523 0.455 0.584 -0.500 -0.002 -0.008 -0.045 2.000 12.000 0.000 0.000 1.000 177 3.857 3.959 31.959 32.000 0.571 0.429 -0.500 -0.003 -0.001 -0.057 2.000 12.000 0.000 0.000 1.000 178 3.857 3.469 35.469 36.000 -0.429 2.429 -0.500 -0.068 -0.014 -0.017 2.000 12.000 0.000 0.000 1.000 179 3.857 2.844 43.111 37.319 0.204 1.371 -0.500 0.024 -0.008 -0.035 2.000 12.000 0.000 0.000 1.000 180 3.857 2.427 23.042 21.531 0.765 0.262 -0.500 0.051 -0.002 -0.082 2.000 12.000 0.000 0.000 1.000 181 3.857 2.783 38.283 42.370 -0.309 2.472 -0.500 -0.044 -0.015 -0.019 2.000 12.000 0.000 0.000 1.000 182 3.857 2.449 42.449 44.000 -0.143 2.143 -0.500 0.003 -0.019 -0.024 2.000 12.000 0.000 0.000 1.000 183 3.857 2.860 42.571 48.796 0.368 1.207 -0.500 -0.002 -0.015 -0.037 2.000 12.000 0.000 0.000 1.000 184 3.857 3.229 34.759 28.746 0.506 0.950 -0.500 -0.006 -0.008 -0.046 2.000 12.000 0.000 0.000 1.000 185 3.857 2.383 45.616 47.377 -0.003 2.130 -0.500 0.009 -0.009 -0.024 2.000 12.000 0.000 0.000 1.000 186 3.857 2.449 42.449 44.000 0.143 1.857 -0.500 0.030 -0.004 -0.029 2.000 12.000 0.000 0.000 1.000 187 3.857 3.289 37.322 45.646 -0.351 2.894 -0.500 -0.063 -0.015 -0.014 2.000 12.000 0.000 0.000 1.000 188 3.857 2.706 29.790 32.718 0.668 1.005 -0.500 -0.015 -0.011 -0.047 2.000 12.000 0.000 0.000 1.000 189 3.857 2.804 36.778 33.313 -0.229 2.834 -0.500 -0.046 -0.017 -0.013 2.000 12.000 0.000 0.000 1.000 190 3.857 2.695 44.076 42.890 0.302 1.811 -0.500 -0.006 -0.015 -0.028 2.000 12.000 0.000 0.000 1.000 191 3.857 3.469 35.469 36.000 0.429 1.571 -0.500 -0.011 -0.016 -0.034 2.000 12.000 0.000 0.000 1.000 192 3.857 3.061 35.061 36.000 -0.286 3.286 -0.500 -0.070 -0.017 -0.008 2.000 12.000 0.000 0.000 1.000 193 3.857 2.563 32.529 28.804 0.609 1.507 -0.500 -0.026 -0.012 -0.038 2.000 12.000 0.000 0.000 1.000 194 3.857 2.692 41.499 47.530 0.221 2.327 -0.500 -0.006 -0.016 -0.021 2.000 12.000 0.000 0.000 1.000 195 3.857 3.256 37.771 31.068 0.351 2.193 -0.500 -0.017 -0.019 -0.024 2.000 12.000 0.000 0.000 1.000 196 3.857 2.608 36.490 40.104 -0.159 3.376 -0.500 -0.036 -0.016 -0.010 2.000 12.000 0.000 0.000 1.000 197 3.857 2.625 33.785 36.824 0.524 2.144 -0.500 -0.059 -0.014 -0.021 2.000 12.000 0.000 0.000 1.000 198 3.857 3.061 35.061 36.000 0.286 2.714 -0.500 -0.025 -0.025 -0.015 2.000 12.000 0.000 0.000 1.000 199 3.857 2.108 21.593 22.079 0.039 3.234 -0.500 -0.004 -0.005 -0.013 2.000 12.000 0.000 0.000 1.000 200 3.857 2.162 40.499 40.523 0.148 3.038 -0.500 -0.006 -0.008 -0.014 2.000 12.000 0.000 0.000 1.000 201 3.857 2.650 20.992 20.266 -0.057 3.452 -0.500 -0.032 -0.017 -0.010 2.000 12.000 0.000 0.000 1.000 202 3.857 3.133 32.839 39.589 -0.196 3.821 -0.500 -0.050 -0.019 -0.006 2.000 12.000 0.000 0.000 1.000 203 3.857 2.579 35.589 31.171 0.456 2.734 -0.500 -0.053 -0.015 -0.016 2.000 12.000 0.000 0.000 1.000 204 3.857 2.755 31.719 26.750 0.194 3.451 -0.500 -0.008 -0.002 -0.009 2.000 12.000 0.000 0.000 1.000 205 3.857 2.082 30.082 32.000 -0.143 4.143 -0.500 -0.048 -0.021 -0.003 2.000 12.000 0.000 0.000 1.000 206 3.857 2.618 33.901 36.997 0.380 3.279 -0.500 -0.061 -0.017 -0.008 2.000 12.000 0.000 0.000 1.000 207 3.857 2.082 30.082 32.000 0.143 3.857 -0.500 -0.003 0.005 -0.005 2.000 12.000 0.000 0.000 1.000 208 3.857 2.166 31.151 33.250 -0.007 4.284 -0.500 -0.010 -0.015 -0.005 2.000 12.000 0.000 0.000 1.000 209 3.857 2.378 32.344 28.804 0.302 3.961 -0.500 -0.033 -0.018 -0.007 2.000 12.000 0.000 0.000 1.000 210 3.857 2.561 29.582 32.630 0.234 4.404 -0.500 -0.024 -0.019 -0.003 2.000 12.000 0.000 0.000 1.000 211 3.857 1.315 21.930 21.531 0.147 5.207 -0.500 0.038 -0.008 -0.002 2.000 12.000 0.000 0.000 1.000 212 3.857 1.911 12.134 12.313 0.069 5.412 -0.500 0.057 -0.003 -0.002 2.000 12.000 0.000 0.000 1.000 213 3.892 3.026 13.026 12.000 -0.425 -1.580 -0.407 -0.006 -0.009 -0.034 1.995 12.005 0.000 0.005 0.995 214 3.892 2.903 20.903 20.000 -0.255 -0.948 -0.407 -0.006 -0.012 -0.032 1.995 12.005 0.000 0.005 0.995 215 3.892 2.842 24.842 24.000 -0.085 -0.316 -0.407 -0.017 -0.014 -0.026 1.995 12.005 0.000 0.005 0.995 216 3.892 2.842 24.842 24.000 0.085 0.316 -0.407 -0.017 -0.014 -0.026 1.995 12.005 0.000 0.005 0.995 217 3.892 2.903 20.903 20.000 0.255 0.948 -0.407 -0.006 -0.012 -0.032 1.995 12.005 0.000 0.005 0.995 218 3.892 3.026 13.026 12.000 0.425 1.580 -0.407 -0.006 -0.009 -0.034 1.995 12.005 0.000 0.005 0.995 219 3.900 2.239 11.073 12.368 -0.452 -2.709 -0.394 -0.005 -0.011 -0.028 1.994 12.006 0.000 0.006 0.994 220 3.900 2.478 19.683 24.087 -0.299 -1.795 -0.394 -0.005 -0.011 -0.028 1.994 12.006 0.000 0.006 0.994 221 3.900 2.618 24.719 30.941 -0.149 -0.895 -0.394 -0.006 -0.011 -0.028 1.994 12.006 0.000 0.006 0.994 222 3.900 2.664 26.383 33.207 -0.000 0.000 -0.394 -0.006 -0.011 -0.028 1.994 12.006 0.000 0.006 0.994 223 3.900 2.618 24.719 30.941 0.149 0.895 -0.394 -0.006 -0.011 -0.028 1.994 12.006 0.000 0.006 0.994 224 3.900 2.478 19.683 24.087 0.299 1.795 -0.394 -0.005 -0.011 -0.028 1.994 12.006 0.000 0.006 0.994 225 3.900 2.239 11.073 12.368 0.452 2.710 -0.394 -0.005 -0.011 -0.028 1.994 12.006 0.000 0.006 0.994 226 3.922 2.233 12.233 12.000 0.405 -2.549 -0.592 -0.006 -0.010 -0.032 1.989 12.011 0.000 0.011 0.989 227 3.922 2.086 20.086 20.000 0.243 -1.529 -0.592 -0.006 -0.011 -0.031 1.989 12.011 0.000 0.011 0.989 228 3.922 2.012 24.012 24.000 0.081 -0.510 -0.592 -0.014 -0.013 -0.027 1.989 12.011 0.000 0.011 0.989 229 3.922 2.012 24.012 24.000 -0.081 0.510 -0.592 -0.014 -0.013 -0.027 1.989 12.011 0.000 0.011 0.989 230 3.922 2.085 20.085 20.000 -0.243 1.529 -0.592 -0.006 -0.011 -0.031 1.989 12.011 0.000 0.011 0.989 231 3.922 2.233 12.233 12.000 -0.405 2.549 -0.592 -0.006 -0.010 -0.032 1.989 12.011 0.000 0.011 0.989 232 3.929 1.692 13.472 9.162 0.306 -2.450 -0.581 -0.005 -0.011 -0.028 1.988 12.012 0.000 0.012 0.988 233 3.929 1.840 22.972 16.436 0.152 -1.216 -0.581 -0.006 -0.011 -0.028 1.988 12.012 0.000 0.012 0.988 234 3.929 1.888 26.064 18.803 0.000 0.000 -0.581 -0.006 -0.011 -0.028 1.988 12.012 0.000 0.012 0.988 235 3.929 1.840 22.972 16.436 -0.152 1.216 -0.581 -0.006 -0.011 -0.028 1.988 12.012 0.000 0.012 0.988 236 3.929 1.692 13.472 9.163 -0.306 2.450 -0.581 -0.005 -0.011 -0.028 1.988 12.012 0.000 0.012 0.988 237 3.973 1.822 1.822 0.000 0.000 0.000 -0.454 -0.008 -0.011 -0.026 1.981 12.019 0.001 0.017 0.982 238 4.161 1.911 12.134 12.313 -0.783 -4.698 3.000 -0.076 -0.034 -0.003 2.000 12.000 0.000 0.000 1.000 239 4.161 2.116 16.167 19.671 -0.704 -4.226 3.000 -0.069 -0.033 -0.004 2.000 12.000 0.000 0.000 1.000 240 4.161 2.561 29.582 32.630 -0.663 -3.976 3.000 -0.077 -0.030 -0.005 2.000 12.000 0.000 0.000 1.000 241 4.161 2.627 34.586 44.743 -0.607 -3.642 3.000 -0.076 -0.024 -0.007 2.000 12.000 0.000 0.000 1.000 242 4.161 3.612 16.612 15.000 -0.571 -3.429 3.000 -0.079 -0.004 -0.014 2.000 12.000 0.000 0.000 1.000 243 4.161 2.618 33.901 36.996 -0.523 -3.136 3.000 -0.075 -0.022 -0.008 2.000 12.000 0.000 0.000 1.000 244 4.161 3.133 32.839 39.588 -0.518 -3.107 3.000 -0.075 -0.010 -0.012 2.000 12.000 0.000 0.000 1.000 245 4.161 2.108 21.593 22.079 -0.468 -2.806 3.000 -0.056 -0.012 -0.012 2.000 12.000 0.000 0.000 1.000 246 4.161 2.680 36.494 47.339 -0.458 -2.745 3.000 -0.067 -0.018 -0.009 2.000 12.000 0.000 0.000 1.000 247 4.161 3.469 35.469 36.000 -0.429 -2.571 3.000 -0.079 -0.020 -0.008 2.000 12.000 0.000 0.000 1.000 248 4.161 2.625 33.784 36.824 -0.381 -2.287 3.000 -0.064 -0.012 -0.012 2.000 12.000 0.000 0.000 1.000 249 4.161 2.692 41.499 47.530 -0.364 -2.184 3.000 -0.043 -0.021 -0.011 2.000 12.000 0.000 0.000 1.000 250 4.161 3.289 37.322 45.646 -0.363 -2.180 3.000 -0.049 -0.026 -0.008 2.000 12.000 0.000 0.000 1.000 251 4.161 2.246 20.866 26.068 -0.350 -2.102 3.000 -0.049 -0.013 -0.009 2.000 12.000 0.000 0.000 1.000 252 4.161 2.628 34.616 44.783 -0.307 -1.840 3.000 -0.045 -0.011 -0.013 2.000 12.000 0.000 0.000 1.000 253 4.161 2.916 44.969 58.875 -0.302 -1.810 3.000 -0.030 -0.023 -0.011 2.000 12.000 0.000 0.000 1.000 254 4.161 3.061 35.061 36.000 -0.286 -1.714 3.000 -0.011 -0.039 -0.008 2.000 12.000 0.000 0.000 1.000 255 4.161 2.755 21.755 21.000 -0.286 -1.714 3.000 0.011 -0.023 -0.016 2.000 12.000 0.000 0.000 1.000 256 4.161 2.706 29.790 32.717 -0.239 -1.434 3.000 -0.038 -0.008 -0.015 2.000 12.000 0.000 0.000 1.000 257 4.161 2.860 42.571 48.796 -0.225 -1.350 3.000 -0.027 -0.029 -0.008 2.000 12.000 0.000 0.000 1.000 258 4.161 2.987 42.720 50.425 -0.225 -1.349 3.000 -0.013 -0.021 -0.012 2.000 12.000 0.000 0.000 1.000 259 4.161 3.247 35.644 43.356 -0.211 -1.265 3.000 -0.013 -0.029 -0.010 2.000 12.000 0.000 0.000 1.000 260 4.161 2.174 26.044 26.617 -0.156 -0.934 3.000 0.004 -0.012 -0.008 2.000 12.000 0.000 0.000 1.000 261 4.161 2.484 29.419 37.709 -0.155 -0.929 3.000 -0.005 -0.008 -0.013 2.000 12.000 0.000 0.000 1.000 262 4.161 2.883 43.770 57.243 -0.152 -0.911 3.000 -0.016 -0.021 -0.007 2.000 12.000 0.000 0.000 1.000 263 4.161 2.735 30.735 32.000 -0.143 -0.857 3.000 -0.007 -0.029 -0.012 2.000 12.000 0.000 0.000 1.000 264 4.161 2.980 42.980 44.000 -0.143 -0.857 3.000 -0.057 -0.021 -0.010 2.000 12.000 0.000 0.000 1.000 265 4.161 2.869 21.904 24.650 -0.097 -0.579 3.000 0.011 -0.008 -0.014 2.000 12.000 0.000 0.000 1.000 266 4.161 2.946 38.501 44.577 -0.084 -0.502 3.000 -0.003 -0.018 -0.005 2.000 12.000 0.000 0.000 1.000 267 4.161 3.082 43.633 51.571 -0.070 -0.419 3.000 -0.016 -0.011 -0.001 2.000 12.000 0.000 0.000 1.000 268 4.161 2.838 45.722 53.237 -0.069 -0.413 3.000 0.001 -0.005 -0.004 2.000 12.000 0.000 0.000 1.000 269 4.161 3.108 30.571 36.448 -0.058 -0.350 3.000 -0.002 0.006 -0.003 2.000 12.000 0.000 0.000 1.000 270 4.161 2.287 22.344 28.080 -0.000 -0.000 3.000 -0.024 -0.019 -0.010 2.000 12.000 0.000 0.000 1.000 271 4.161 2.732 38.335 49.845 -0.000 -0.000 3.000 -0.004 -0.005 -0.005 2.000 12.000 0.000 0.000 1.000 272 4.161 3.009 48.333 63.453 -0.000 -0.000 3.000 0.001 -0.005 -0.002 2.000 12.000 0.000 0.000 1.000 273 4.161 2.240 20.641 25.762 -0.000 -0.000 3.000 0.063 0.000 -0.006 2.000 12.000 0.000 0.000 1.000 274 4.161 2.490 22.490 24.000 0.000 -0.000 3.000 0.002 0.029 0.003 2.000 12.000 0.000 0.000 1.000 275 4.161 2.816 38.816 40.000 0.000 -0.000 3.000 0.020 0.002 0.011 2.000 12.000 0.000 0.000 1.000 276 4.161 2.469 23.469 23.000 0.000 -0.000 3.000 0.057 0.014 0.003 2.000 12.000 0.000 0.000 1.000 277 4.161 3.108 30.570 36.447 0.058 0.350 3.000 -0.002 0.006 -0.003 2.000 12.000 0.000 0.000 1.000 278 4.161 2.838 45.722 53.237 0.069 0.413 3.000 0.001 -0.005 -0.004 2.000 12.000 0.000 0.000 1.000 279 4.161 3.082 43.633 51.571 0.070 0.418 3.000 -0.016 -0.011 -0.001 2.000 12.000 0.000 0.000 1.000 280 4.161 2.946 38.501 44.578 0.084 0.502 3.000 -0.003 -0.018 -0.005 2.000 12.000 0.000 0.000 1.000 281 4.161 2.869 21.904 24.650 0.097 0.579 3.000 0.011 -0.008 -0.014 2.000 12.000 0.000 0.000 1.000 282 4.161 2.735 30.735 32.000 0.143 0.857 3.000 -0.007 -0.029 -0.012 2.000 12.000 0.000 0.000 1.000 283 4.161 2.980 42.979 44.000 0.143 0.857 3.000 -0.057 -0.021 -0.010 2.000 12.000 0.000 0.000 1.000 284 4.161 2.883 43.770 57.243 0.152 0.911 3.000 -0.016 -0.021 -0.007 2.000 12.000 0.000 0.000 1.000 285 4.161 2.484 29.419 37.710 0.155 0.929 3.000 -0.005 -0.008 -0.013 2.000 12.000 0.000 0.000 1.000 286 4.161 2.174 26.044 26.617 0.156 0.934 3.000 0.004 -0.012 -0.008 2.000 12.000 0.000 0.000 1.000 287 4.161 3.247 35.644 43.356 0.211 1.265 3.000 -0.013 -0.029 -0.010 2.000 12.000 0.000 0.000 1.000 288 4.161 2.987 42.720 50.426 0.225 1.349 3.000 -0.013 -0.021 -0.012 2.000 12.000 0.000 0.000 1.000 289 4.161 2.860 42.571 48.796 0.225 1.350 3.000 -0.027 -0.029 -0.008 2.000 12.000 0.000 0.000 1.000 290 4.161 2.706 29.790 32.718 0.239 1.434 3.000 -0.038 -0.008 -0.015 2.000 12.000 0.000 0.000 1.000 291 4.161 3.061 35.061 36.000 0.286 1.714 3.000 -0.011 -0.039 -0.008 2.000 12.000 0.000 0.000 1.000 292 4.161 2.755 21.755 21.000 0.286 1.714 3.000 0.011 -0.023 -0.016 2.000 12.000 0.000 0.000 1.000 293 4.161 2.916 44.969 58.875 0.302 1.810 3.000 -0.030 -0.023 -0.011 2.000 12.000 0.000 0.000 1.000 294 4.161 2.628 34.616 44.783 0.307 1.840 3.000 -0.045 -0.011 -0.013 2.000 12.000 0.000 0.000 1.000 295 4.161 2.246 20.866 26.068 0.350 2.101 3.000 -0.049 -0.013 -0.009 2.000 12.000 0.000 0.000 1.000 296 4.161 3.289 37.322 45.646 0.363 2.180 3.000 -0.049 -0.026 -0.008 2.000 12.000 0.000 0.000 1.000 297 4.161 2.692 41.499 47.530 0.364 2.184 3.000 -0.043 -0.021 -0.011 2.000 12.000 0.000 0.000 1.000 298 4.161 2.625 33.785 36.824 0.381 2.287 3.000 -0.064 -0.012 -0.012 2.000 12.000 0.000 0.000 1.000 299 4.161 3.469 35.469 36.000 0.429 2.571 3.000 -0.079 -0.020 -0.008 2.000 12.000 0.000 0.000 1.000 300 4.161 2.680 36.494 47.339 0.458 2.745 3.000 -0.067 -0.018 -0.009 2.000 12.000 0.000 0.000 1.000 301 4.161 2.108 21.593 22.079 0.468 2.805 3.000 -0.056 -0.012 -0.012 2.000 12.000 0.000 0.000 1.000 302 4.161 3.133 32.839 39.589 0.518 3.107 3.000 -0.075 -0.010 -0.012 2.000 12.000 0.000 0.000 1.000 303 4.161 2.618 33.901 36.997 0.523 3.136 3.000 -0.075 -0.022 -0.008 2.000 12.000 0.000 0.000 1.000 304 4.161 3.612 16.612 15.000 0.571 3.429 3.000 -0.079 -0.004 -0.014 2.000 12.000 0.000 0.000 1.000 305 4.161 2.627 34.587 44.743 0.607 3.642 3.000 -0.076 -0.024 -0.007 2.000 12.000 0.000 0.000 1.000 306 4.161 2.561 29.582 32.630 0.663 3.976 3.000 -0.077 -0.030 -0.005 2.000 12.000 0.000 0.000 1.000 307 4.161 2.116 16.167 19.672 0.704 4.226 3.000 -0.069 -0.033 -0.004 2.000 12.000 0.000 0.000 1.000 308 4.161 1.911 12.134 12.313 0.783 4.698 3.000 -0.076 -0.034 -0.003 2.000 12.000 0.000 0.000 1.000 309 4.219 1.695 10.529 12.368 -0.309 -1.854 2.899 -0.026 -0.013 -0.010 1.990 12.010 0.000 0.010 0.990 310 4.219 1.934 19.139 24.087 -0.205 -1.228 2.899 -0.026 -0.018 -0.008 1.990 12.010 0.000 0.010 0.990 311 4.219 2.074 24.175 30.941 -0.102 -0.612 2.899 -0.040 -0.015 -0.008 1.990 12.010 0.000 0.010 0.990 312 4.219 2.120 25.840 33.207 0.000 0.000 2.899 -0.047 -0.021 -0.011 1.990 12.010 0.000 0.010 0.990 313 4.219 2.074 24.175 30.941 0.102 0.613 2.899 -0.040 -0.015 -0.008 1.990 12.010 0.000 0.010 0.990 314 4.219 1.934 19.139 24.087 0.205 1.228 2.899 -0.026 -0.018 -0.008 1.990 12.010 0.000 0.010 0.990 315 4.219 1.695 10.529 12.368 0.309 1.854 2.899 -0.026 -0.013 -0.010 1.990 12.010 0.000 0.010 0.990 316 4.226 2.233 12.233 12.000 -0.309 -1.834 2.908 -0.033 -0.016 -0.009 1.989 12.011 0.000 0.011 0.989 317 4.226 2.086 20.086 20.000 -0.186 -1.100 2.908 -0.033 -0.016 -0.009 1.989 12.011 0.000 0.011 0.989 318 4.226 2.012 24.012 24.000 -0.062 -0.367 2.908 -0.033 -0.016 -0.009 1.989 12.011 0.000 0.011 0.989 319 4.226 2.012 24.012 24.000 0.062 0.367 2.908 -0.033 -0.016 -0.009 1.989 12.011 0.000 0.011 0.989 320 4.226 2.085 20.085 20.000 0.186 1.101 2.908 -0.033 -0.016 -0.009 1.989 12.011 0.000 0.011 0.989 321 4.226 2.233 12.233 12.000 0.309 1.835 2.908 -0.033 -0.016 -0.009 1.989 12.011 0.000 0.011 0.989 322 4.296 1.082 1.082 0.000 0.000 0.000 2.763 -0.032 -0.016 -0.009 1.975 12.025 0.001 0.023 0.976
