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ltp2011_water_dipole_surface.f90
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ltp2011_water_dipole_surface.f90
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subroutine DIPS(muY, muX, r1, r2, cos_theta)
implicit none
!==============================================================================================================
! Lorenzo Lodi, 12 May 2011
! DIPS is Fortran 90 subroutine containing four
! dipole-moment surfaces (DMS) for the ground-state water molecule: LTP2011, LTP2011P, LTP2011NR, LTP2011S.
! Modify the character variable "dipole_surface" to select the DMS of choice (see below).
! REF: L. Lodi, J. Tennyson and O.L Polyansky, "A global, high accuracy ab initio dipole moment
! surface for the electronic ground state of the water molecule", J. Chem. Phys. (submitted) (2011).
!
! INPUT: r1/bohrs, r2/bohrs, cos( theta )
! OUTPUT: mu_Y(a.u.), mu_X(a.u.)
! mu_Y is the "small" component, perpendicular to the bond-angle bisector (=0 a.u. at equilibrium)
! mu_X is the "large" component, parallel to the bond-angle bisector (=~0.730 a.u. at equilibrium)
! See the ref. for a more precise description of the orientation of the axes.
! M O R E D E T A I L S
! All surfaces are based on IC-MRCI+Q[8,10] energy-derivative dipoles in the aug-cc-pCV6Z basis set,
! and incorporates a damping function to ensure a reasonable behaviour upon dissociation r->+inf.
! A part from LTP2001NR, they include relativistic corrections.
! The Y component of the dipole has an irregular behaviour for linear H-O-H geometries when one bond is
! stretched beyond about 3 bohrs (due to surface intersection).
!
! SPEED: on a Pentium4 3 GHz compiled with Intel Fortran compiler 11.1
! each call to DIPS takes ~2e-6 seconds. Could be made faster by implementing Horner polynomial evaluation.
! All the coefficients are hard-coded to make it self-contained. A DATA block would require
! too many continuation lines. As it is the routine takes about 40 kbytes of memory.
!
! NOTE: Numerically this fit is rather ill-conditioned, about 9 digits of accuracy are lost
! in the summation because of floating-point truncation error.
! Ugly as it is, it shouldn't be a problem in practice, though.
!==============================================================================================================
integer , parameter :: dp=kind(1.d0)
real(dp), parameter :: PI=3.14159265358979323846264338328_dp
real(dp), intent(in) :: r1, r2, cos_theta
real(dp), intent(out) :: muX, muY
real(dp) :: theta
!******************************************************
logical :: zLoaded = .false.
integer :: n_r_X, n_theta_X
integer :: n_r_Y, n_theta_Y
integer, parameter :: n_max_coeffs=225 ! Statically allocate arrays for the fit coeffs.
integer, parameter :: max_exponent=9
real(dp) :: d_X(n_max_coeffs) ! fit coefficients X
real(dp) :: d_Y(n_max_coeffs) ! fit coefficients Y
integer :: index_X(3,n_max_coeffs) ! index table containing the exponents of the X fit
integer :: index_Y(3,n_max_coeffs) ! index table containing the exponents of the Y fit
real(dp) :: powers_x1(0:max_exponent), powers_x2(0:max_exponent), powers_x3(0:max_exponent)
integer :: ii, ncoeffs_X, ncoeffs_Y
real(dp) :: x1, x2, x3
real(dp) :: damp1, damp2, value1, value2, cos_theta_half, sin_theta_half
real(dp) :: damp, muOH
!**********************************************************************************************
! Possible choices for dipole_surface are: LTP2011 (default), LTP2011P, LTP2011NR, LTP2001S
! All are based on aug-cc-pCV6Z IC-MRCI[8, 10] calculations
! The differ in the energies used to compute the dipoles (Davidson or Pople)
! in whether they include the MVD1 relativistic correction
! and in the number of fitting parameters included.
! LTP2011 should be used for studies involving very high energy (>25000 cm-1) states.
!
! NAME DIPOLES RELATIVISTIC FIT ORDER muX/ muY
! LTP2011 (default) Davidson Yes [8,8]/[9,8]
! LTP2011P Pople Yes [8,8]/[9,8]
! LTP2011NR Davidson No [8,8]/[9,8]
! LTP2011S Davidson Yes [6,7]/[7,7]
character(len=8), parameter :: dipole_surface = "LTP2011S"
!**********************************************************************************************
save n_r_X, n_theta_X, ncoeffs_X, index_X, d_X
save n_r_Y, n_theta_Y, ncoeffs_Y, index_Y, d_Y
save zLoaded
! Let's load the opportune coefficients for muX and muY
if(zLoaded .eqv. .false.) then
d_X = 0._dp
d_Y = 0._dp
if(dipole_surface == "LTP2011") then
n_r_X = 8; n_theta_X = 8; ncoeffs_X = 200
index_X(1,001)= 0; index_X(2,001)= 0; index_X(3,001)= 1; d_X(001)= -4.3606625464226454E+01_dp
index_X(1,002)= 0; index_X(2,002)= 0; index_X(3,002)= 2; d_X(002)= 3.3027196259894445E+03_dp
index_X(1,003)= 0; index_X(2,003)= 0; index_X(3,003)= 3; d_X(003)= -1.2727332561105239E+04_dp
index_X(1,004)= 0; index_X(2,004)= 0; index_X(3,004)= 4; d_X(004)= 2.0478327360204032E+04_dp
index_X(1,005)= 0; index_X(2,005)= 0; index_X(3,005)= 5; d_X(005)= -1.7320391032929223E+04_dp
index_X(1,006)= 0; index_X(2,006)= 0; index_X(3,006)= 6; d_X(006)= 8.0857296986251222E+03_dp
index_X(1,007)= 0; index_X(2,007)= 0; index_X(3,007)= 7; d_X(007)= -1.9717556345513731E+03_dp
index_X(1,008)= 0; index_X(2,008)= 0; index_X(3,008)= 8; d_X(008)= 1.9607508538273396E+02_dp
index_X(1,009)= 0; index_X(2,009)= 2; index_X(3,009)= 1; d_X(009)= 3.0335075152822174E+02_dp
index_X(1,010)= 0; index_X(2,010)= 2; index_X(3,010)= 2; d_X(010)= -1.1709356490854843E+03_dp
index_X(1,011)= 0; index_X(2,011)= 2; index_X(3,011)= 3; d_X(011)= 1.9956778959599906E+03_dp
index_X(1,012)= 0; index_X(2,012)= 2; index_X(3,012)= 4; d_X(012)= -1.9712161529225559E+03_dp
index_X(1,013)= 0; index_X(2,013)= 2; index_X(3,013)= 5; d_X(013)= 1.2340220565548516E+03_dp
index_X(1,014)= 0; index_X(2,014)= 2; index_X(3,014)= 6; d_X(014)= -4.8970182591694174E+02_dp
index_X(1,015)= 0; index_X(2,015)= 2; index_X(3,015)= 7; d_X(015)= 1.1206177641027170E+02_dp
index_X(1,016)= 0; index_X(2,016)= 2; index_X(3,016)= 8; d_X(016)= -1.1105175444354245E+01_dp
index_X(1,017)= 0; index_X(2,017)= 4; index_X(3,017)= 1; d_X(017)= 1.6925709138547063E+01_dp
index_X(1,018)= 0; index_X(2,018)= 4; index_X(3,018)= 2; d_X(018)= -4.3912662965647542E+01_dp
index_X(1,019)= 0; index_X(2,019)= 4; index_X(3,019)= 3; d_X(019)= 2.4288671317884109E+01_dp
index_X(1,020)= 0; index_X(2,020)= 4; index_X(3,020)= 4; d_X(020)= 3.4365336338240013E+01_dp
index_X(1,021)= 0; index_X(2,021)= 4; index_X(3,021)= 5; d_X(021)= -5.5705027501924633E+01_dp
index_X(1,022)= 0; index_X(2,022)= 4; index_X(3,022)= 6; d_X(022)= 3.1458201995923446E+01_dp
index_X(1,023)= 0; index_X(2,023)= 4; index_X(3,023)= 7; d_X(023)= -8.0773946006338520E+00_dp
index_X(1,024)= 0; index_X(2,024)= 4; index_X(3,024)= 8; d_X(024)= 7.8402541108334844E-01_dp
index_X(1,025)= 0; index_X(2,025)= 6; index_X(3,025)= 1; d_X(025)= 1.3694677677176514E-01_dp
index_X(1,026)= 0; index_X(2,026)= 6; index_X(3,026)= 2; d_X(026)= -1.2184309628182746E+00_dp
index_X(1,027)= 0; index_X(2,027)= 6; index_X(3,027)= 3; d_X(027)= 3.9898597473516020E+00_dp
index_X(1,028)= 0; index_X(2,028)= 6; index_X(3,028)= 4; d_X(028)= -6.4466157734350418E+00_dp
index_X(1,029)= 0; index_X(2,029)= 6; index_X(3,029)= 5; d_X(029)= 5.6885223634108115E+00_dp
index_X(1,030)= 0; index_X(2,030)= 6; index_X(3,030)= 6; d_X(030)= -2.7918382966599893E+00_dp
index_X(1,031)= 0; index_X(2,031)= 6; index_X(3,031)= 7; d_X(031)= 7.1398484320161515E-01_dp
index_X(1,032)= 0; index_X(2,032)= 6; index_X(3,032)= 8; d_X(032)= -7.3916051669584704E-02_dp
index_X(1,033)= 0; index_X(2,033)= 8; index_X(3,033)= 1; d_X(033)= 2.6790328253412099E-04_dp
index_X(1,034)= 0; index_X(2,034)= 8; index_X(3,034)= 2; d_X(034)= -4.0414235845958046E-03_dp
index_X(1,035)= 0; index_X(2,035)= 8; index_X(3,035)= 3; d_X(035)= 1.5002012491777350E-02_dp
index_X(1,036)= 0; index_X(2,036)= 8; index_X(3,036)= 4; d_X(036)= -2.5395644888476454E-02_dp
index_X(1,037)= 0; index_X(2,037)= 8; index_X(3,037)= 5; d_X(037)= 2.3034273439407116E-02_dp
index_X(1,038)= 0; index_X(2,038)= 8; index_X(3,038)= 6; d_X(038)= -1.1575981466648955E-02_dp
index_X(1,039)= 0; index_X(2,039)= 8; index_X(3,039)= 7; d_X(039)= 3.0378956698768889E-03_dp
index_X(1,040)= 0; index_X(2,040)= 8; index_X(3,040)= 8; d_X(040)= -3.2474704221385764E-04_dp
index_X(1,041)= 1; index_X(2,041)= 0; index_X(3,041)= 1; d_X(041)= 1.7490126454435995E+02_dp
index_X(1,042)= 1; index_X(2,042)= 0; index_X(3,042)= 2; d_X(042)= -6.6062814319734498E+03_dp
index_X(1,043)= 1; index_X(2,043)= 0; index_X(3,043)= 3; d_X(043)= 2.4632070084248153E+04_dp
index_X(1,044)= 1; index_X(2,044)= 0; index_X(3,044)= 4; d_X(044)= -3.9170928839035245E+04_dp
index_X(1,045)= 1; index_X(2,045)= 0; index_X(3,045)= 5; d_X(045)= 3.2936121345909283E+04_dp
index_X(1,046)= 1; index_X(2,046)= 0; index_X(3,046)= 6; d_X(046)= -1.5323433860934820E+04_dp
index_X(1,047)= 1; index_X(2,047)= 0; index_X(3,047)= 7; d_X(047)= 3.7287418976416811E+03_dp
index_X(1,048)= 1; index_X(2,048)= 0; index_X(3,048)= 8; d_X(048)= -3.7025900128080684E+02_dp
index_X(1,049)= 1; index_X(2,049)= 2; index_X(3,049)= 1; d_X(049)= -3.8204879799564151E+02_dp
index_X(1,050)= 1; index_X(2,050)= 2; index_X(3,050)= 2; d_X(050)= 1.4816809813710424E+03_dp
index_X(1,051)= 1; index_X(2,051)= 2; index_X(3,051)= 3; d_X(051)= -2.5410134350081353E+03_dp
index_X(1,052)= 1; index_X(2,052)= 2; index_X(3,052)= 4; d_X(052)= 2.5251484275723342E+03_dp
index_X(1,053)= 1; index_X(2,053)= 2; index_X(3,053)= 5; d_X(053)= -1.5866169642140449E+03_dp
index_X(1,054)= 1; index_X(2,054)= 2; index_X(3,054)= 6; d_X(054)= 6.2936423488600121E+02_dp
index_X(1,055)= 1; index_X(2,055)= 2; index_X(3,055)= 7; d_X(055)= -1.4335551639070036E+02_dp
index_X(1,056)= 1; index_X(2,056)= 2; index_X(3,056)= 8; d_X(056)= 1.4095056124002440E+01_dp
index_X(1,057)= 1; index_X(2,057)= 4; index_X(3,057)= 1; d_X(057)= -1.3412212213906969E+01_dp
index_X(1,058)= 1; index_X(2,058)= 4; index_X(3,058)= 2; d_X(058)= 3.4861250143381767E+01_dp
index_X(1,059)= 1; index_X(2,059)= 4; index_X(3,059)= 3; d_X(059)= -1.9057659324804263E+01_dp
index_X(1,060)= 1; index_X(2,060)= 4; index_X(3,060)= 4; d_X(060)= -2.8186887285377452E+01_dp
index_X(1,061)= 1; index_X(2,061)= 4; index_X(3,061)= 5; d_X(061)= 4.5464201636816142E+01_dp
index_X(1,062)= 1; index_X(2,062)= 4; index_X(3,062)= 6; d_X(062)= -2.5773491567353631E+01_dp
index_X(1,063)= 1; index_X(2,063)= 4; index_X(3,063)= 7; d_X(063)= 6.6598208994000743E+00_dp
index_X(1,064)= 1; index_X(2,064)= 4; index_X(3,064)= 8; d_X(064)= -6.5198890475585358E-01_dp
index_X(1,065)= 1; index_X(2,065)= 6; index_X(3,065)= 1; d_X(065)= -3.8146332383576009E-02_dp
index_X(1,066)= 1; index_X(2,066)= 6; index_X(3,066)= 2; d_X(066)= 3.4491055845546725E-01_dp
index_X(1,067)= 1; index_X(2,067)= 6; index_X(3,067)= 3; d_X(067)= -1.1504040370477924E+00_dp
index_X(1,068)= 1; index_X(2,068)= 6; index_X(3,068)= 4; d_X(068)= 1.8871106806586795E+00_dp
index_X(1,069)= 1; index_X(2,069)= 6; index_X(3,069)= 5; d_X(069)= -1.6847004003047914E+00_dp
index_X(1,070)= 1; index_X(2,070)= 6; index_X(3,070)= 6; d_X(070)= 8.3441442563798773E-01_dp
index_X(1,071)= 1; index_X(2,071)= 6; index_X(3,071)= 7; d_X(071)= -2.1497937103777076E-01_dp
index_X(1,072)= 1; index_X(2,072)= 6; index_X(3,072)= 8; d_X(072)= 2.2393755010853056E-02_dp
index_X(1,073)= 2; index_X(2,073)= 0; index_X(3,073)= 1; d_X(073)= -2.1892849125475004E+02_dp
index_X(1,074)= 2; index_X(2,074)= 0; index_X(3,074)= 2; d_X(074)= 5.6962800355550971E+03_dp
index_X(1,075)= 2; index_X(2,075)= 0; index_X(3,075)= 3; d_X(075)= -2.0588561699539132E+04_dp
index_X(1,076)= 2; index_X(2,076)= 0; index_X(3,076)= 4; d_X(076)= 3.2364759842469120E+04_dp
index_X(1,077)= 2; index_X(2,077)= 0; index_X(3,077)= 5; d_X(077)= -2.7053799841186432E+04_dp
index_X(1,078)= 2; index_X(2,078)= 0; index_X(3,078)= 6; d_X(078)= 1.2543623220686441E+04_dp
index_X(1,079)= 2; index_X(2,079)= 0; index_X(3,079)= 7; d_X(079)= -3.0456876672294966E+03_dp
index_X(1,080)= 2; index_X(2,080)= 0; index_X(3,080)= 8; d_X(080)= 3.0198138552824821E+02_dp
index_X(1,081)= 2; index_X(2,081)= 2; index_X(3,081)= 1; d_X(081)= 1.9542895348778075E+02_dp
index_X(1,082)= 2; index_X(2,082)= 2; index_X(3,082)= 2; d_X(082)= -7.6245485172340705E+02_dp
index_X(1,083)= 2; index_X(2,083)= 2; index_X(3,083)= 3; d_X(083)= 1.3183009633221081E+03_dp
index_X(1,084)= 2; index_X(2,084)= 2; index_X(3,084)= 4; d_X(084)= -1.3213562538592669E+03_dp
index_X(1,085)= 2; index_X(2,085)= 2; index_X(3,085)= 5; d_X(085)= 8.3564896815556131E+02_dp
index_X(1,086)= 2; index_X(2,086)= 2; index_X(3,086)= 6; d_X(086)= -3.3223581216292450E+02_dp
index_X(1,087)= 2; index_X(2,087)= 2; index_X(3,087)= 7; d_X(087)= 7.5487293678030255E+01_dp
index_X(1,088)= 2; index_X(2,088)= 2; index_X(3,088)= 8; d_X(088)= -7.3736087346769636E+00_dp
index_X(1,089)= 2; index_X(2,089)= 4; index_X(3,089)= 1; d_X(089)= 3.9449696341125673E+00_dp
index_X(1,090)= 2; index_X(2,090)= 4; index_X(3,090)= 2; d_X(090)= -1.0362686658220809E+01_dp
index_X(1,091)= 2; index_X(2,091)= 4; index_X(3,091)= 3; d_X(091)= 5.8361834900792928E+00_dp
index_X(1,092)= 2; index_X(2,092)= 4; index_X(3,092)= 4; d_X(092)= 8.1898774691727567E+00_dp
index_X(1,093)= 2; index_X(2,093)= 4; index_X(3,093)= 5; d_X(093)= -1.3488763912672312E+01_dp
index_X(1,094)= 2; index_X(2,094)= 4; index_X(3,094)= 6; d_X(094)= 7.7195530796107050E+00_dp
index_X(1,095)= 2; index_X(2,095)= 4; index_X(3,095)= 7; d_X(095)= -2.0111792595416773E+00_dp
index_X(1,096)= 2; index_X(2,096)= 4; index_X(3,096)= 8; d_X(096)= 1.9856014939796296E-01_dp
index_X(1,097)= 2; index_X(2,097)= 6; index_X(3,097)= 1; d_X(097)= 2.6992892313586481E-03_dp
index_X(1,098)= 2; index_X(2,098)= 6; index_X(3,098)= 2; d_X(098)= -2.3169406981168095E-02_dp
index_X(1,099)= 2; index_X(2,099)= 6; index_X(3,099)= 3; d_X(099)= 7.6920653129892269E-02_dp
index_X(1,100)= 2; index_X(2,100)= 6; index_X(3,100)= 4; d_X(100)= -1.2699177163437980E-01_dp
index_X(1,101)= 2; index_X(2,101)= 6; index_X(3,101)= 5; d_X(101)= 1.1419975744036037E-01_dp
index_X(1,102)= 2; index_X(2,102)= 6; index_X(3,102)= 6; d_X(102)= -5.6911577327582563E-02_dp
index_X(1,103)= 2; index_X(2,103)= 6; index_X(3,103)= 7; d_X(103)= 1.4731428730556217E-02_dp
index_X(1,104)= 2; index_X(2,104)= 6; index_X(3,104)= 8; d_X(104)= -1.5391529138923943E-03_dp
index_X(1,105)= 3; index_X(2,105)= 0; index_X(3,105)= 1; d_X(105)= 1.3622336107641650E+02_dp
index_X(1,106)= 3; index_X(2,106)= 0; index_X(3,106)= 2; d_X(106)= -2.7620215237450120E+03_dp
index_X(1,107)= 3; index_X(2,107)= 0; index_X(3,107)= 3; d_X(107)= 9.6961566179726942E+03_dp
index_X(1,108)= 3; index_X(2,108)= 0; index_X(3,108)= 4; d_X(108)= -1.5071634521499458E+04_dp
index_X(1,109)= 3; index_X(2,109)= 0; index_X(3,109)= 5; d_X(109)= 1.2525535485496084E+04_dp
index_X(1,110)= 3; index_X(2,110)= 0; index_X(3,110)= 6; d_X(110)= -5.7877475885727608E+03_dp
index_X(1,111)= 3; index_X(2,111)= 0; index_X(3,111)= 7; d_X(111)= 1.4022418853302088E+03_dp
index_X(1,112)= 3; index_X(2,112)= 0; index_X(3,112)= 8; d_X(112)= -1.3882010495019813E+02_dp
index_X(1,113)= 3; index_X(2,113)= 2; index_X(3,113)= 1; d_X(113)= -5.1784446024105819E+01_dp
index_X(1,114)= 3; index_X(2,114)= 2; index_X(3,114)= 2; d_X(114)= 2.0347186203791898E+02_dp
index_X(1,115)= 3; index_X(2,115)= 2; index_X(3,115)= 3; d_X(115)= -3.5517945792744649E+02_dp
index_X(1,116)= 3; index_X(2,116)= 2; index_X(3,116)= 4; d_X(116)= 3.5968370839488307E+02_dp
index_X(1,117)= 3; index_X(2,117)= 2; index_X(3,117)= 5; d_X(117)= -2.2941598322942446E+02_dp
index_X(1,118)= 3; index_X(2,118)= 2; index_X(3,118)= 6; d_X(118)= 9.1615227223264810E+01_dp
index_X(1,119)= 3; index_X(2,119)= 2; index_X(3,119)= 7; d_X(119)= -2.0803746205627249E+01_dp
index_X(1,120)= 3; index_X(2,120)= 2; index_X(3,120)= 8; d_X(120)= 2.0215951358823077E+00_dp
index_X(1,121)= 3; index_X(2,121)= 4; index_X(3,121)= 1; d_X(121)= -5.1223059493923984E-01_dp
index_X(1,122)= 3; index_X(2,122)= 4; index_X(3,122)= 2; d_X(122)= 1.3793274425197524E+00_dp
index_X(1,123)= 3; index_X(2,123)= 4; index_X(3,123)= 3; d_X(123)= -8.6111511230274118E-01_dp
index_X(1,124)= 3; index_X(2,124)= 4; index_X(3,124)= 4; d_X(124)= -9.3618549735765555E-01_dp
index_X(1,125)= 3; index_X(2,125)= 4; index_X(3,125)= 5; d_X(125)= 1.6723633643267704E+00_dp
index_X(1,126)= 3; index_X(2,126)= 4; index_X(3,126)= 6; d_X(126)= -9.7717597698039071E-01_dp
index_X(1,127)= 3; index_X(2,127)= 4; index_X(3,127)= 7; d_X(127)= 2.5754294537479439E-01_dp
index_X(1,128)= 3; index_X(2,128)= 4; index_X(3,128)= 8; d_X(128)= -2.5639662240507732E-02_dp
index_X(1,129)= 4; index_X(2,129)= 0; index_X(3,129)= 1; d_X(129)= -4.8664524863777615E+01_dp
index_X(1,130)= 4; index_X(2,130)= 0; index_X(3,130)= 2; d_X(130)= 8.2253513436822686E+02_dp
index_X(1,131)= 4; index_X(2,131)= 0; index_X(3,131)= 3; d_X(131)= -2.8104242401845022E+03_dp
index_X(1,132)= 4; index_X(2,132)= 0; index_X(3,132)= 4; d_X(132)= 4.3215344250088574E+03_dp
index_X(1,133)= 4; index_X(2,133)= 0; index_X(3,133)= 5; d_X(133)= -3.5712787276469517E+03_dp
index_X(1,134)= 4; index_X(2,134)= 0; index_X(3,134)= 6; d_X(134)= 1.6446990040199869E+03_dp
index_X(1,135)= 4; index_X(2,135)= 0; index_X(3,135)= 7; d_X(135)= -3.9761250447597183E+02_dp
index_X(1,136)= 4; index_X(2,136)= 0; index_X(3,136)= 8; d_X(136)= 3.9302009433029525E+01_dp
index_X(1,137)= 4; index_X(2,137)= 2; index_X(3,137)= 1; d_X(137)= 7.4642192204291860E+00_dp
index_X(1,138)= 4; index_X(2,138)= 2; index_X(3,138)= 2; d_X(138)= -2.9549045720626509E+01_dp
index_X(1,139)= 4; index_X(2,139)= 2; index_X(3,139)= 3; d_X(139)= 5.2096102541524488E+01_dp
index_X(1,140)= 4; index_X(2,140)= 2; index_X(3,140)= 4; d_X(140)= -5.3340409897036352E+01_dp
index_X(1,141)= 4; index_X(2,141)= 2; index_X(3,141)= 5; d_X(141)= 3.4353054530474992E+01_dp
index_X(1,142)= 4; index_X(2,142)= 2; index_X(3,142)= 6; d_X(142)= -1.3800578378807131E+01_dp
index_X(1,143)= 4; index_X(2,143)= 2; index_X(3,143)= 7; d_X(143)= 3.1368956403484844E+00_dp
index_X(1,144)= 4; index_X(2,144)= 2; index_X(3,144)= 8; d_X(144)= -3.0360358130678833E-01_dp
index_X(1,145)= 4; index_X(2,145)= 4; index_X(3,145)= 1; d_X(145)= 2.4705941986514546E-02_dp
index_X(1,146)= 4; index_X(2,146)= 4; index_X(3,146)= 2; d_X(146)= -6.9117806702358564E-02_dp
index_X(1,147)= 4; index_X(2,147)= 4; index_X(3,147)= 3; d_X(147)= 5.0433248065949954E-02_dp
index_X(1,148)= 4; index_X(2,148)= 4; index_X(3,148)= 4; d_X(148)= 3.2425384490856857E-02_dp
index_X(1,149)= 4; index_X(2,149)= 4; index_X(3,149)= 5; d_X(149)= -7.1011085503201343E-02_dp
index_X(1,150)= 4; index_X(2,150)= 4; index_X(3,150)= 6; d_X(150)= 4.3066331371839794E-02_dp
index_X(1,151)= 4; index_X(2,151)= 4; index_X(3,151)= 7; d_X(151)= -1.1522000939407917E-02_dp
index_X(1,152)= 4; index_X(2,152)= 4; index_X(3,152)= 8; d_X(152)= 1.1545216566446470E-03_dp
index_X(1,153)= 5; index_X(2,153)= 0; index_X(3,153)= 1; d_X(153)= 1.0455117395260515E+01_dp
index_X(1,154)= 5; index_X(2,154)= 0; index_X(3,154)= 2; d_X(154)= -1.5379526273858755E+02_dp
index_X(1,155)= 5; index_X(2,155)= 0; index_X(3,155)= 3; d_X(155)= 5.1262413047375753E+02_dp
index_X(1,156)= 5; index_X(2,156)= 0; index_X(3,156)= 4; d_X(156)= -7.8025562897946952E+02_dp
index_X(1,157)= 5; index_X(2,157)= 0; index_X(3,157)= 5; d_X(157)= 6.4134095430272794E+02_dp
index_X(1,158)= 5; index_X(2,158)= 0; index_X(3,158)= 6; d_X(158)= -2.9441601383245484E+02_dp
index_X(1,159)= 5; index_X(2,159)= 0; index_X(3,159)= 7; d_X(159)= 7.1026892747306960E+01_dp
index_X(1,160)= 5; index_X(2,160)= 0; index_X(3,160)= 8; d_X(160)= -7.0097630764862515E+00_dp
index_X(1,161)= 5; index_X(2,161)= 2; index_X(3,161)= 1; d_X(161)= -5.5181072854595925E-01_dp
index_X(1,162)= 5; index_X(2,162)= 2; index_X(3,162)= 2; d_X(162)= 2.1988689794610252E+00_dp
index_X(1,163)= 5; index_X(2,163)= 2; index_X(3,163)= 3; d_X(163)= -3.9118084258312251E+00_dp
index_X(1,164)= 5; index_X(2,164)= 2; index_X(3,164)= 4; d_X(164)= 4.0477572843179388E+00_dp
index_X(1,165)= 5; index_X(2,165)= 2; index_X(3,165)= 5; d_X(165)= -2.6330324078872316E+00_dp
index_X(1,166)= 5; index_X(2,166)= 2; index_X(3,166)= 6; d_X(166)= 1.0650938147472431E+00_dp
index_X(1,167)= 5; index_X(2,167)= 2; index_X(3,167)= 7; d_X(167)= -2.4261849843153982E-01_dp
index_X(1,168)= 5; index_X(2,168)= 2; index_X(3,168)= 8; d_X(168)= 2.3404996829526681E-02_dp
index_X(1,169)= 6; index_X(2,169)= 0; index_X(3,169)= 1; d_X(169)= -1.3330355566063190E+00_dp
index_X(1,170)= 6; index_X(2,170)= 0; index_X(3,170)= 2; d_X(170)= 1.7597899896022227E+01_dp
index_X(1,171)= 6; index_X(2,171)= 0; index_X(3,171)= 3; d_X(171)= -5.7368093491015827E+01_dp
index_X(1,172)= 6; index_X(2,172)= 0; index_X(3,172)= 4; d_X(172)= 8.6504254282326798E+01_dp
index_X(1,173)= 6; index_X(2,173)= 0; index_X(3,173)= 5; d_X(173)= -7.0750176940476308E+01_dp
index_X(1,174)= 6; index_X(2,174)= 0; index_X(3,174)= 6; d_X(174)= 3.2382040446805647E+01_dp
index_X(1,175)= 6; index_X(2,175)= 0; index_X(3,175)= 7; d_X(175)= -7.7965304444907169E+00_dp
index_X(1,176)= 6; index_X(2,176)= 0; index_X(3,176)= 8; d_X(176)= 7.6827845837534881E-01_dp
index_X(1,177)= 6; index_X(2,177)= 2; index_X(3,177)= 1; d_X(177)= 1.6229968998813238E-02_dp
index_X(1,178)= 6; index_X(2,178)= 2; index_X(3,178)= 2; d_X(178)= -6.4908083799454452E-02_dp
index_X(1,179)= 6; index_X(2,179)= 2; index_X(3,179)= 3; d_X(179)= 1.1618507169545289E-01_dp
index_X(1,180)= 6; index_X(2,180)= 2; index_X(3,180)= 4; d_X(180)= -1.2124387765841604E-01_dp
index_X(1,181)= 6; index_X(2,181)= 2; index_X(3,181)= 5; d_X(181)= 7.9581487575241194E-02_dp
index_X(1,182)= 6; index_X(2,182)= 2; index_X(3,182)= 6; d_X(182)= -3.2415275442599034E-02_dp
index_X(1,183)= 6; index_X(2,183)= 2; index_X(3,183)= 7; d_X(183)= 7.4020781937269575E-03_dp
index_X(1,184)= 6; index_X(2,184)= 2; index_X(3,184)= 8; d_X(184)= -7.1146892846662979E-04_dp
index_X(1,185)= 7; index_X(2,185)= 0; index_X(3,185)= 1; d_X(185)= 9.2649525643705655E-02_dp
index_X(1,186)= 7; index_X(2,186)= 0; index_X(3,186)= 2; d_X(186)= -1.1242874381538730E+00_dp
index_X(1,187)= 7; index_X(2,187)= 0; index_X(3,187)= 3; d_X(187)= 3.5950660241542902E+00_dp
index_X(1,188)= 7; index_X(2,188)= 0; index_X(3,188)= 4; d_X(188)= -5.3760392178762846E+00_dp
index_X(1,189)= 7; index_X(2,189)= 0; index_X(3,189)= 5; d_X(189)= 4.3774577026751516E+00_dp
index_X(1,190)= 7; index_X(2,190)= 0; index_X(3,190)= 6; d_X(190)= -1.9981707526528956E+00_dp
index_X(1,191)= 7; index_X(2,191)= 0; index_X(3,191)= 7; d_X(191)= 4.8021225340536289E-01_dp
index_X(1,192)= 7; index_X(2,192)= 0; index_X(3,192)= 8; d_X(192)= -4.7250502079100087E-02_dp
index_X(1,193)= 8; index_X(2,193)= 0; index_X(3,193)= 1; d_X(193)= -2.6924375660369038E-03_dp
index_X(1,194)= 8; index_X(2,194)= 0; index_X(3,194)= 2; d_X(194)= 3.0639958403565398E-02_dp
index_X(1,195)= 8; index_X(2,195)= 0; index_X(3,195)= 3; d_X(195)= -9.6417377890139655E-02_dp
index_X(1,196)= 8; index_X(2,196)= 0; index_X(3,196)= 4; d_X(196)= 1.4317113229849029E-01_dp
index_X(1,197)= 8; index_X(2,197)= 0; index_X(3,197)= 5; d_X(197)= -1.1613665480567770E-01_dp
index_X(1,198)= 8; index_X(2,198)= 0; index_X(3,198)= 6; d_X(198)= 5.2889764456063852E-02_dp
index_X(1,199)= 8; index_X(2,199)= 0; index_X(3,199)= 7; d_X(199)= -1.2689809454080206E-02_dp
index_X(1,200)= 8; index_X(2,200)= 0; index_X(3,200)= 8; d_X(200)= 1.2468169536632245E-03_dp
!********************************************************************************************
n_r_Y = 9; n_theta_Y = 8; ncoeffs_Y = 225
index_Y(1,001)= 0; index_Y(2,001)= 1; index_Y(3,001)= 0; d_Y(001)= -6.0025296063971437E+03_dp
index_Y(1,002)= 0; index_Y(2,002)= 1; index_Y(3,002)= 1; d_Y(002)= 3.9291648647678376E+04_dp
index_Y(1,003)= 0; index_Y(2,003)= 1; index_Y(3,003)= 2; d_Y(003)= -1.0569378589871156E+05_dp
index_Y(1,004)= 0; index_Y(2,004)= 1; index_Y(3,004)= 3; d_Y(004)= 1.5020926617361890E+05_dp
index_Y(1,005)= 0; index_Y(2,005)= 1; index_Y(3,005)= 4; d_Y(005)= -1.2289367399421075E+05_dp
index_Y(1,006)= 0; index_Y(2,006)= 1; index_Y(3,006)= 5; d_Y(006)= 5.9210063162055972E+04_dp
index_Y(1,007)= 0; index_Y(2,007)= 1; index_Y(3,007)= 6; d_Y(007)= -1.6309896166413906E+04_dp
index_Y(1,008)= 0; index_Y(2,008)= 1; index_Y(3,008)= 7; d_Y(008)= 2.3058900193641894E+03_dp
index_Y(1,009)= 0; index_Y(2,009)= 1; index_Y(3,009)= 8; d_Y(009)= -1.2187808235920966E+02_dp
index_Y(1,010)= 0; index_Y(2,010)= 3; index_Y(3,010)= 0; d_Y(010)= -1.0438762294771004E+02_dp
index_Y(1,011)= 0; index_Y(2,011)= 3; index_Y(3,011)= 1; d_Y(011)= -2.6954003638798604E+03_dp
index_Y(1,012)= 0; index_Y(2,012)= 3; index_Y(3,012)= 2; d_Y(012)= 1.6112550047979807E+04_dp
index_Y(1,013)= 0; index_Y(2,013)= 3; index_Y(3,013)= 3; d_Y(013)= -3.5922088374701911E+04_dp
index_Y(1,014)= 0; index_Y(2,014)= 3; index_Y(3,014)= 4; d_Y(014)= 4.1234354044479434E+04_dp
index_Y(1,015)= 0; index_Y(2,015)= 3; index_Y(3,015)= 5; d_Y(015)= -2.6668830950832620E+04_dp
index_Y(1,016)= 0; index_Y(2,016)= 3; index_Y(3,016)= 6; d_Y(016)= 9.7672387842139869E+03_dp
index_Y(1,017)= 0; index_Y(2,017)= 3; index_Y(3,017)= 7; d_Y(017)= -1.8779090769474860E+03_dp
index_Y(1,018)= 0; index_Y(2,018)= 3; index_Y(3,018)= 8; d_Y(018)= 1.4585975086590042E+02_dp
index_Y(1,019)= 0; index_Y(2,019)= 5; index_Y(3,019)= 0; d_Y(019)= -2.1822372815887320E+01_dp
index_Y(1,020)= 0; index_Y(2,020)= 5; index_Y(3,020)= 1; d_Y(020)= -2.2110734126872558E+01_dp
index_Y(1,021)= 0; index_Y(2,021)= 5; index_Y(3,021)= 2; d_Y(021)= 3.7571119498786572E+02_dp
index_Y(1,022)= 0; index_Y(2,022)= 5; index_Y(3,022)= 3; d_Y(022)= -8.9280859359521492E+02_dp
index_Y(1,023)= 0; index_Y(2,023)= 5; index_Y(3,023)= 4; d_Y(023)= 9.9854772253553529E+02_dp
index_Y(1,024)= 0; index_Y(2,024)= 5; index_Y(3,024)= 5; d_Y(024)= -6.1509045913653972E+02_dp
index_Y(1,025)= 0; index_Y(2,025)= 5; index_Y(3,025)= 6; d_Y(025)= 2.1314747796376469E+02_dp
index_Y(1,026)= 0; index_Y(2,026)= 5; index_Y(3,026)= 7; d_Y(026)= -3.8767443468488636E+01_dp
index_Y(1,027)= 0; index_Y(2,027)= 5; index_Y(3,027)= 8; d_Y(027)= 2.8598573219642276E+00_dp
index_Y(1,028)= 0; index_Y(2,028)= 7; index_Y(3,028)= 0; d_Y(028)= -6.9625815262816104E-01_dp
index_Y(1,029)= 0; index_Y(2,029)= 7; index_Y(3,029)= 1; d_Y(029)= 6.6073020690482736E+00_dp
index_Y(1,030)= 0; index_Y(2,030)= 7; index_Y(3,030)= 2; d_Y(030)= -2.7882436566596880E+01_dp
index_Y(1,031)= 0; index_Y(2,031)= 7; index_Y(3,031)= 3; d_Y(031)= 6.1709270655274850E+01_dp
index_Y(1,032)= 0; index_Y(2,032)= 7; index_Y(3,032)= 4; d_Y(032)= -7.7645710806545594E+01_dp
index_Y(1,033)= 0; index_Y(2,033)= 7; index_Y(3,033)= 5; d_Y(033)= 5.7561024705354612E+01_dp
index_Y(1,034)= 0; index_Y(2,034)= 7; index_Y(3,034)= 6; d_Y(034)= -2.4882164185464717E+01_dp
index_Y(1,035)= 0; index_Y(2,035)= 7; index_Y(3,035)= 7; d_Y(035)= 5.7990635062305955E+00_dp
index_Y(1,036)= 0; index_Y(2,036)= 7; index_Y(3,036)= 8; d_Y(036)= -5.6292930951167364E-01_dp
index_Y(1,037)= 0; index_Y(2,037)= 9; index_Y(3,037)= 0; d_Y(037)= 1.0287016772296820E-03_dp
index_Y(1,038)= 0; index_Y(2,038)= 9; index_Y(3,038)= 1; d_Y(038)= -1.0860989693355805E-02_dp
index_Y(1,039)= 0; index_Y(2,039)= 9; index_Y(3,039)= 2; d_Y(039)= 4.7514016035023587E-02_dp
index_Y(1,040)= 0; index_Y(2,040)= 9; index_Y(3,040)= 3; d_Y(040)= -1.0624429525728374E-01_dp
index_Y(1,041)= 0; index_Y(2,041)= 9; index_Y(3,041)= 4; d_Y(041)= 1.3119592284215287E-01_dp
index_Y(1,042)= 0; index_Y(2,042)= 9; index_Y(3,042)= 5; d_Y(042)= -9.2928998177512767E-02_dp
index_Y(1,043)= 0; index_Y(2,043)= 9; index_Y(3,043)= 6; d_Y(043)= 3.7497752367926296E-02_dp
index_Y(1,044)= 0; index_Y(2,044)= 9; index_Y(3,044)= 7; d_Y(044)= -7.9895325261531980E-03_dp
index_Y(1,045)= 0; index_Y(2,045)= 9; index_Y(3,045)= 8; d_Y(045)= 6.9510952312157315E-04_dp
index_Y(1,046)= 1; index_Y(2,046)= 1; index_Y(3,046)= 0; d_Y(046)= 1.1107348110055093E+04_dp
index_Y(1,047)= 1; index_Y(2,047)= 1; index_Y(3,047)= 1; d_Y(047)= -7.3812023665533910E+04_dp
index_Y(1,048)= 1; index_Y(2,048)= 1; index_Y(3,048)= 2; d_Y(048)= 2.0230408994767399E+05_dp
index_Y(1,049)= 1; index_Y(2,049)= 1; index_Y(3,049)= 3; d_Y(049)= -2.9410739202800079E+05_dp
index_Y(1,050)= 1; index_Y(2,050)= 1; index_Y(3,050)= 4; d_Y(050)= 2.4753687850269134E+05_dp
index_Y(1,051)= 1; index_Y(2,051)= 1; index_Y(3,051)= 5; d_Y(051)= -1.2375368727427488E+05_dp
index_Y(1,052)= 1; index_Y(2,052)= 1; index_Y(3,052)= 6; d_Y(052)= 3.5882111890754779E+04_dp
index_Y(1,053)= 1; index_Y(2,053)= 1; index_Y(3,053)= 7; d_Y(053)= -5.4833204488015035E+03_dp
index_Y(1,054)= 1; index_Y(2,054)= 1; index_Y(3,054)= 8; d_Y(054)= 3.3225098766572773E+02_dp
index_Y(1,055)= 1; index_Y(2,055)= 3; index_Y(3,055)= 0; d_Y(055)= 1.1210052264027763E+02_dp
index_Y(1,056)= 1; index_Y(2,056)= 3; index_Y(3,056)= 1; d_Y(056)= 3.4399633045124938E+03_dp
index_Y(1,057)= 1; index_Y(2,057)= 3; index_Y(3,057)= 2; d_Y(057)= -2.0218419913111138E+04_dp
index_Y(1,058)= 1; index_Y(2,058)= 3; index_Y(3,058)= 3; d_Y(058)= 4.4955127263088827E+04_dp
index_Y(1,059)= 1; index_Y(2,059)= 3; index_Y(3,059)= 4; d_Y(059)= -5.1673000975081872E+04_dp
index_Y(1,060)= 1; index_Y(2,060)= 3; index_Y(3,060)= 5; d_Y(060)= 3.3546952728580436E+04_dp
index_Y(1,061)= 1; index_Y(2,061)= 3; index_Y(3,061)= 6; d_Y(061)= -1.2360422032248898E+04_dp
index_Y(1,062)= 1; index_Y(2,062)= 3; index_Y(3,062)= 7; d_Y(062)= 2.3971254975670017E+03_dp
index_Y(1,063)= 1; index_Y(2,063)= 3; index_Y(3,063)= 8; d_Y(063)= -1.8849571401080175E+02_dp
index_Y(1,064)= 1; index_Y(2,064)= 5; index_Y(3,064)= 0; d_Y(064)= 1.5801327026620129E+01_dp
index_Y(1,065)= 1; index_Y(2,065)= 5; index_Y(3,065)= 1; d_Y(065)= 3.0778086309463106E+01_dp
index_Y(1,066)= 1; index_Y(2,066)= 5; index_Y(3,066)= 2; d_Y(066)= -3.5038283671477348E+02_dp
index_Y(1,067)= 1; index_Y(2,067)= 5; index_Y(3,067)= 3; d_Y(067)= 8.1883162195943078E+02_dp
index_Y(1,068)= 1; index_Y(2,068)= 5; index_Y(3,068)= 4; d_Y(068)= -9.2646558530730545E+02_dp
index_Y(1,069)= 1; index_Y(2,069)= 5; index_Y(3,069)= 5; d_Y(069)= 5.8468471543774649E+02_dp
index_Y(1,070)= 1; index_Y(2,070)= 5; index_Y(3,070)= 6; d_Y(070)= -2.0984500327254500E+02_dp
index_Y(1,071)= 1; index_Y(2,071)= 5; index_Y(3,071)= 7; d_Y(071)= 4.0027073412467871E+01_dp
index_Y(1,072)= 1; index_Y(2,072)= 5; index_Y(3,072)= 8; d_Y(072)= -3.1483292751508998E+00_dp
index_Y(1,073)= 1; index_Y(2,073)= 7; index_Y(3,073)= 0; d_Y(073)= 2.8459849010778271E-01_dp
index_Y(1,074)= 1; index_Y(2,074)= 7; index_Y(3,074)= 1; d_Y(074)= -2.6711004988846980E+00_dp
index_Y(1,075)= 1; index_Y(2,075)= 7; index_Y(3,075)= 2; d_Y(075)= 1.1089900367103837E+01_dp
index_Y(1,076)= 1; index_Y(2,076)= 7; index_Y(3,076)= 3; d_Y(076)= -2.4258537179810446E+01_dp
index_Y(1,077)= 1; index_Y(2,077)= 7; index_Y(3,077)= 4; d_Y(077)= 3.0265838116033592E+01_dp
index_Y(1,078)= 1; index_Y(2,078)= 7; index_Y(3,078)= 5; d_Y(078)= -2.2283342391293445E+01_dp
index_Y(1,079)= 1; index_Y(2,079)= 7; index_Y(3,079)= 6; d_Y(079)= 9.5735821221169317E+00_dp
index_Y(1,080)= 1; index_Y(2,080)= 7; index_Y(3,080)= 7; d_Y(080)= -2.2183009214204503E+00_dp
index_Y(1,081)= 1; index_Y(2,081)= 7; index_Y(3,081)= 8; d_Y(081)= 2.1411987383908127E-01_dp
index_Y(1,082)= 2; index_Y(2,082)= 1; index_Y(3,082)= 0; d_Y(082)= -8.8954806908923638E+03_dp
index_Y(1,083)= 2; index_Y(2,083)= 1; index_Y(3,083)= 1; d_Y(083)= 6.0029031672360856E+04_dp
index_Y(1,084)= 2; index_Y(2,084)= 1; index_Y(3,084)= 2; d_Y(084)= -1.6752066997622303E+05_dp
index_Y(1,085)= 2; index_Y(2,085)= 1; index_Y(3,085)= 3; d_Y(085)= 2.4866939134875033E+05_dp
index_Y(1,086)= 2; index_Y(2,086)= 1; index_Y(3,086)= 4; d_Y(086)= -2.1454483436766942E+05_dp
index_Y(1,087)= 2; index_Y(2,087)= 1; index_Y(3,087)= 5; d_Y(087)= 1.1058141888443311E+05_dp
index_Y(1,088)= 2; index_Y(2,088)= 1; index_Y(3,088)= 6; d_Y(088)= -3.3344258355232014E+04_dp
index_Y(1,089)= 2; index_Y(2,089)= 1; index_Y(3,089)= 7; d_Y(089)= 5.3747705450634530E+03_dp
index_Y(1,090)= 2; index_Y(2,090)= 1; index_Y(3,090)= 8; d_Y(090)= -3.5245815839042189E+02_dp
index_Y(1,091)= 2; index_Y(2,091)= 3; index_Y(3,091)= 0; d_Y(091)= -4.7782641193291056E+01_dp
index_Y(1,092)= 2; index_Y(2,092)= 3; index_Y(3,092)= 1; d_Y(092)= -1.7770035056206107E+03_dp
index_Y(1,093)= 2; index_Y(2,093)= 3; index_Y(3,093)= 2; d_Y(093)= 1.0278888960119511E+04_dp
index_Y(1,094)= 2; index_Y(2,094)= 3; index_Y(3,094)= 3; d_Y(094)= -2.2787458652314963E+04_dp
index_Y(1,095)= 2; index_Y(2,095)= 3; index_Y(3,095)= 4; d_Y(095)= 2.6208096604709513E+04_dp
index_Y(1,096)= 2; index_Y(2,096)= 3; index_Y(3,096)= 5; d_Y(096)= -1.7057952242937361E+04_dp
index_Y(1,097)= 2; index_Y(2,097)= 3; index_Y(3,097)= 6; d_Y(097)= 6.3111728824057036E+03_dp
index_Y(1,098)= 2; index_Y(2,098)= 3; index_Y(3,098)= 7; d_Y(098)= -1.2312067912722996E+03_dp
index_Y(1,099)= 2; index_Y(2,099)= 3; index_Y(3,099)= 8; d_Y(099)= 9.7611219354381319E+01_dp
index_Y(1,100)= 2; index_Y(2,100)= 5; index_Y(3,100)= 0; d_Y(100)= -3.9142006385295645E+00_dp
index_Y(1,101)= 2; index_Y(2,101)= 5; index_Y(3,101)= 1; d_Y(101)= -1.5359912640847142E+01_dp
index_Y(1,102)= 2; index_Y(2,102)= 5; index_Y(3,102)= 2; d_Y(102)= 1.2776397874860595E+02_dp
index_Y(1,103)= 2; index_Y(2,103)= 5; index_Y(3,103)= 3; d_Y(103)= -2.9297032442760428E+02_dp
index_Y(1,104)= 2; index_Y(2,104)= 5; index_Y(3,104)= 4; d_Y(104)= 3.3596087026596683E+02_dp
index_Y(1,105)= 2; index_Y(2,105)= 5; index_Y(3,105)= 5; d_Y(105)= -2.1782781495290965E+02_dp
index_Y(1,106)= 2; index_Y(2,106)= 5; index_Y(3,106)= 6; d_Y(106)= 8.1111138066315789E+01_dp
index_Y(1,107)= 2; index_Y(2,107)= 5; index_Y(3,107)= 7; d_Y(107)= -1.6200769375291998E+01_dp
index_Y(1,108)= 2; index_Y(2,108)= 5; index_Y(3,108)= 8; d_Y(108)= 1.3474396226224599E+00_dp
index_Y(1,109)= 2; index_Y(2,109)= 7; index_Y(3,109)= 0; d_Y(109)= -2.8478794804414065E-02_dp
index_Y(1,110)= 2; index_Y(2,110)= 7; index_Y(3,110)= 1; d_Y(110)= 2.6593452089218772E-01_dp
index_Y(1,111)= 2; index_Y(2,111)= 7; index_Y(3,111)= 2; d_Y(111)= -1.0932653638288912E+00_dp
index_Y(1,112)= 2; index_Y(2,112)= 7; index_Y(3,112)= 3; d_Y(112)= 2.3736962936600321E+00_dp
index_Y(1,113)= 2; index_Y(2,113)= 7; index_Y(3,113)= 4; d_Y(113)= -2.9437369227216550E+00_dp
index_Y(1,114)= 2; index_Y(2,114)= 7; index_Y(3,114)= 5; d_Y(114)= 2.1552315808708045E+00_dp
index_Y(1,115)= 2; index_Y(2,115)= 7; index_Y(3,115)= 6; d_Y(115)= -9.2075081022630911E-01_dp
index_Y(1,116)= 2; index_Y(2,116)= 7; index_Y(3,116)= 7; d_Y(116)= 2.1211273777407769E-01_dp
index_Y(1,117)= 2; index_Y(2,117)= 7; index_Y(3,117)= 8; d_Y(117)= -2.0351663807559817E-02_dp
index_Y(1,118)= 3; index_Y(2,118)= 1; index_Y(3,118)= 0; d_Y(118)= 4.0244729236675139E+03_dp
index_Y(1,119)= 3; index_Y(2,119)= 1; index_Y(3,119)= 1; d_Y(119)= -2.7579194260415024E+04_dp
index_Y(1,120)= 3; index_Y(2,120)= 1; index_Y(3,120)= 2; d_Y(120)= 7.8286179604332443E+04_dp
index_Y(1,121)= 3; index_Y(2,121)= 1; index_Y(3,121)= 3; d_Y(121)= -1.1841790641238638E+05_dp
index_Y(1,122)= 3; index_Y(2,122)= 1; index_Y(3,122)= 4; d_Y(122)= 1.0438173383473718E+05_dp
index_Y(1,123)= 3; index_Y(2,123)= 1; index_Y(3,123)= 5; d_Y(123)= -5.5170356933581454E+04_dp
index_Y(1,124)= 3; index_Y(2,124)= 1; index_Y(3,124)= 6; d_Y(124)= 1.7149894029817311E+04_dp
index_Y(1,125)= 3; index_Y(2,125)= 1; index_Y(3,125)= 7; d_Y(125)= -2.8724756908097334E+03_dp
index_Y(1,126)= 3; index_Y(2,126)= 1; index_Y(3,126)= 8; d_Y(126)= 1.9822578233739478E+02_dp
index_Y(1,127)= 3; index_Y(2,127)= 3; index_Y(3,127)= 0; d_Y(127)= 1.0548770133245853E+01_dp
index_Y(1,128)= 3; index_Y(2,128)= 3; index_Y(3,128)= 1; d_Y(128)= 4.7160384631398483E+02_dp
index_Y(1,129)= 3; index_Y(2,129)= 3; index_Y(3,129)= 2; d_Y(129)= -2.6927523238212161E+03_dp
index_Y(1,130)= 3; index_Y(2,130)= 3; index_Y(3,130)= 3; d_Y(130)= 5.9529358189060440E+03_dp
index_Y(1,131)= 3; index_Y(2,131)= 3; index_Y(3,131)= 4; d_Y(131)= -6.8453123481617804E+03_dp
index_Y(1,132)= 3; index_Y(2,132)= 3; index_Y(3,132)= 5; d_Y(132)= 4.4601981106036874E+03_dp
index_Y(1,133)= 3; index_Y(2,133)= 3; index_Y(3,133)= 6; d_Y(133)= -1.6534222457115247E+03_dp
index_Y(1,134)= 3; index_Y(2,134)= 3; index_Y(3,134)= 7; d_Y(134)= 3.2343774421433045E+02_dp
index_Y(1,135)= 3; index_Y(2,135)= 3; index_Y(3,135)= 8; d_Y(135)= -2.5735116318981454E+01_dp
index_Y(1,136)= 3; index_Y(2,136)= 5; index_Y(3,136)= 0; d_Y(136)= 3.6760240764022001E-01_dp
index_Y(1,137)= 3; index_Y(2,137)= 5; index_Y(3,137)= 1; d_Y(137)= 3.1648925950707962E+00_dp
index_Y(1,138)= 3; index_Y(2,138)= 5; index_Y(3,138)= 2; d_Y(138)= -2.1074204175226441E+01_dp
index_Y(1,139)= 3; index_Y(2,139)= 5; index_Y(3,139)= 3; d_Y(139)= 4.7397684800605475E+01_dp
index_Y(1,140)= 3; index_Y(2,140)= 5; index_Y(3,140)= 4; d_Y(140)= -5.4950297427654732E+01_dp
index_Y(1,141)= 3; index_Y(2,141)= 5; index_Y(3,141)= 5; d_Y(141)= 3.6442449369556925E+01_dp
index_Y(1,142)= 3; index_Y(2,142)= 5; index_Y(3,142)= 6; d_Y(142)= -1.3973705057789175E+01_dp
index_Y(1,143)= 3; index_Y(2,143)= 5; index_Y(3,143)= 7; d_Y(143)= 2.8879156570819760E+00_dp
index_Y(1,144)= 3; index_Y(2,144)= 5; index_Y(3,144)= 8; d_Y(144)= -2.4945287573154928E-01_dp
index_Y(1,145)= 4; index_Y(2,145)= 1; index_Y(3,145)= 0; d_Y(145)= -1.1241905260007698E+03_dp
index_Y(1,146)= 4; index_Y(2,146)= 1; index_Y(3,146)= 1; d_Y(146)= 7.8203937269640610E+03_dp
index_Y(1,147)= 4; index_Y(2,147)= 1; index_Y(3,147)= 2; d_Y(147)= -2.2550301375257903E+04_dp
index_Y(1,148)= 4; index_Y(2,148)= 1; index_Y(3,148)= 3; d_Y(148)= 3.4682736691500708E+04_dp
index_Y(1,149)= 4; index_Y(2,149)= 1; index_Y(3,149)= 4; d_Y(149)= -3.1134366985278044E+04_dp
index_Y(1,150)= 4; index_Y(2,150)= 1; index_Y(3,150)= 5; d_Y(150)= 1.6797128474809051E+04_dp
index_Y(1,151)= 4; index_Y(2,151)= 1; index_Y(3,151)= 6; d_Y(151)= -5.3466702394040858E+03_dp
index_Y(1,152)= 4; index_Y(2,152)= 1; index_Y(3,152)= 7; d_Y(152)= 9.2113318815936827E+02_dp
index_Y(1,153)= 4; index_Y(2,153)= 1; index_Y(3,153)= 8; d_Y(153)= -6.5819873444136647E+01_dp
index_Y(1,154)= 4; index_Y(2,154)= 3; index_Y(3,154)= 0; d_Y(154)= -1.3629199079396130E+00_dp
index_Y(1,155)= 4; index_Y(2,155)= 3; index_Y(3,155)= 1; d_Y(155)= -6.6848897861893420E+01_dp
index_Y(1,156)= 4; index_Y(2,156)= 3; index_Y(3,156)= 2; d_Y(156)= 3.7931898119598372E+02_dp
index_Y(1,157)= 4; index_Y(2,157)= 3; index_Y(3,157)= 3; d_Y(157)= -8.3698743594581538E+02_dp
index_Y(1,158)= 4; index_Y(2,158)= 3; index_Y(3,158)= 4; d_Y(158)= 9.6148168185669510E+02_dp
index_Y(1,159)= 4; index_Y(2,159)= 3; index_Y(3,159)= 5; d_Y(159)= -6.2592613445075858E+02_dp
index_Y(1,160)= 4; index_Y(2,160)= 3; index_Y(3,160)= 6; d_Y(160)= 2.3178244914996230E+02_dp
index_Y(1,161)= 4; index_Y(2,161)= 3; index_Y(3,161)= 7; d_Y(161)= -4.5266862800091985E+01_dp
index_Y(1,162)= 4; index_Y(2,162)= 3; index_Y(3,162)= 8; d_Y(162)= 3.5923807281924383E+00_dp
index_Y(1,163)= 4; index_Y(2,163)= 5; index_Y(3,163)= 0; d_Y(163)= -8.8188292516697686E-03_dp
index_Y(1,164)= 4; index_Y(2,164)= 5; index_Y(3,164)= 1; d_Y(164)= -2.2668415176542567E-01_dp
index_Y(1,165)= 4; index_Y(2,165)= 5; index_Y(3,165)= 2; d_Y(165)= 1.2977989413177795E+00_dp
index_Y(1,166)= 4; index_Y(2,166)= 5; index_Y(3,166)= 3; d_Y(166)= -2.8690230287728440E+00_dp
index_Y(1,167)= 4; index_Y(2,167)= 5; index_Y(3,167)= 4; d_Y(167)= 3.3521400971742992E+00_dp
index_Y(1,168)= 4; index_Y(2,168)= 5; index_Y(3,168)= 5; d_Y(168)= -2.2606551635301457E+00_dp
index_Y(1,169)= 4; index_Y(2,169)= 5; index_Y(3,169)= 6; d_Y(169)= 8.8515537020313673E-01_dp
index_Y(1,170)= 4; index_Y(2,170)= 5; index_Y(3,170)= 7; d_Y(170)= -1.8718353979136282E-01_dp
index_Y(1,171)= 4; index_Y(2,171)= 5; index_Y(3,171)= 8; d_Y(171)= 1.6558293980750705E-02_dp
index_Y(1,172)= 5; index_Y(2,172)= 1; index_Y(3,172)= 0; d_Y(172)= 1.9837545634243168E+02_dp
index_Y(1,173)= 5; index_Y(2,173)= 1; index_Y(3,173)= 1; d_Y(173)= -1.3997062144072215E+03_dp
index_Y(1,174)= 5; index_Y(2,174)= 1; index_Y(3,174)= 2; d_Y(174)= 4.0931169349134307E+03_dp
index_Y(1,175)= 5; index_Y(2,175)= 1; index_Y(3,175)= 3; d_Y(175)= -6.3858066957452929E+03_dp
index_Y(1,176)= 5; index_Y(2,176)= 1; index_Y(3,176)= 4; d_Y(176)= 5.8197297979717314E+03_dp
index_Y(1,177)= 5; index_Y(2,177)= 1; index_Y(3,177)= 5; d_Y(177)= -3.1917314434027830E+03_dp
index_Y(1,178)= 5; index_Y(2,178)= 1; index_Y(3,178)= 6; d_Y(178)= 1.0346443125482040E+03_dp
index_Y(1,179)= 5; index_Y(2,179)= 1; index_Y(3,179)= 7; d_Y(179)= -1.8198254073487243E+02_dp
index_Y(1,180)= 5; index_Y(2,180)= 1; index_Y(3,180)= 8; d_Y(180)= 1.3322791574812072E+01_dp
index_Y(1,181)= 5; index_Y(2,181)= 3; index_Y(3,181)= 0; d_Y(181)= 1.1165936308050561E-01_dp
index_Y(1,182)= 5; index_Y(2,182)= 3; index_Y(3,182)= 1; d_Y(182)= 4.6716401640872505E+00_dp
index_Y(1,183)= 5; index_Y(2,183)= 3; index_Y(3,183)= 2; d_Y(183)= -2.6730580795888727E+01_dp
index_Y(1,184)= 5; index_Y(2,184)= 3; index_Y(3,184)= 3; d_Y(184)= 5.9012280279981155E+01_dp
index_Y(1,185)= 5; index_Y(2,185)= 3; index_Y(3,185)= 4; d_Y(185)= -6.7650478121726849E+01_dp
index_Y(1,186)= 5; index_Y(2,186)= 3; index_Y(3,186)= 5; d_Y(186)= 4.3866386197446985E+01_dp
index_Y(1,187)= 5; index_Y(2,187)= 3; index_Y(3,187)= 6; d_Y(187)= -1.6145447026892441E+01_dp
index_Y(1,188)= 5; index_Y(2,188)= 3; index_Y(3,188)= 7; d_Y(188)= 3.1251545236183915E+00_dp
index_Y(1,189)= 5; index_Y(2,189)= 3; index_Y(3,189)= 8; d_Y(189)= -2.4475078288219265E-01_dp
index_Y(1,190)= 6; index_Y(2,190)= 1; index_Y(3,190)= 0; d_Y(190)= -2.1572413034670078E+01_dp
index_Y(1,191)= 6; index_Y(2,191)= 1; index_Y(3,191)= 1; d_Y(191)= 1.5418085563717500E+02_dp
index_Y(1,192)= 6; index_Y(2,192)= 1; index_Y(3,192)= 2; d_Y(192)= -4.5630573530583376E+02_dp
index_Y(1,193)= 6; index_Y(2,193)= 1; index_Y(3,193)= 3; d_Y(193)= 7.2028687205061055E+02_dp
index_Y(1,194)= 6; index_Y(2,194)= 1; index_Y(3,194)= 4; d_Y(194)= -6.6435370200832926E+02_dp
index_Y(1,195)= 6; index_Y(2,195)= 1; index_Y(3,195)= 5; d_Y(195)= 3.6897713056122154E+02_dp
index_Y(1,196)= 6; index_Y(2,196)= 1; index_Y(3,196)= 6; d_Y(196)= -1.2123709316119232E+02_dp
index_Y(1,197)= 6; index_Y(2,197)= 1; index_Y(3,197)= 7; d_Y(197)= 2.1641503394243188E+01_dp
index_Y(1,198)= 6; index_Y(2,198)= 1; index_Y(3,198)= 8; d_Y(198)= -1.6107065097376747E+00_dp
index_Y(1,199)= 6; index_Y(2,199)= 3; index_Y(3,199)= 0; d_Y(199)= -4.8973249873083269E-03_dp
index_Y(1,200)= 6; index_Y(2,200)= 3; index_Y(3,200)= 1; d_Y(200)= -1.1852809969847300E-01_dp
index_Y(1,201)= 6; index_Y(2,201)= 3; index_Y(3,201)= 2; d_Y(201)= 7.0847529039930990E-01_dp
index_Y(1,202)= 6; index_Y(2,202)= 3; index_Y(3,202)= 3; d_Y(202)= -1.5740582223622930E+00_dp
index_Y(1,203)= 6; index_Y(2,203)= 3; index_Y(3,203)= 4; d_Y(203)= 1.7975475049534229E+00_dp
index_Y(1,204)= 6; index_Y(2,204)= 3; index_Y(3,204)= 5; d_Y(204)= -1.1537548422919350E+00_dp
index_Y(1,205)= 6; index_Y(2,205)= 3; index_Y(3,205)= 6; d_Y(205)= 4.1766798107112368E-01_dp
index_Y(1,206)= 6; index_Y(2,206)= 3; index_Y(3,206)= 7; d_Y(206)= -7.8846735007957136E-02_dp
index_Y(1,207)= 6; index_Y(2,207)= 3; index_Y(3,207)= 8; d_Y(207)= 5.9433544921461134E-03_dp
index_Y(1,208)= 7; index_Y(2,208)= 1; index_Y(3,208)= 0; d_Y(208)= 1.3200627540448489E+00_dp
index_Y(1,209)= 7; index_Y(2,209)= 1; index_Y(3,209)= 1; d_Y(209)= -9.5383998224375830E+00_dp
index_Y(1,210)= 7; index_Y(2,210)= 1; index_Y(3,210)= 2; d_Y(210)= 2.8500648410562967E+01_dp
index_Y(1,211)= 7; index_Y(2,211)= 1; index_Y(3,211)= 3; d_Y(211)= -4.5392119414633939E+01_dp
index_Y(1,212)= 7; index_Y(2,212)= 1; index_Y(3,212)= 4; d_Y(212)= 4.2237271808823294E+01_dp
index_Y(1,213)= 7; index_Y(2,213)= 1; index_Y(3,213)= 5; d_Y(213)= -2.3668495437070739E+01_dp
index_Y(1,214)= 7; index_Y(2,214)= 1; index_Y(3,214)= 6; d_Y(214)= 7.8486672857396815E+00_dp
index_Y(1,215)= 7; index_Y(2,215)= 1; index_Y(3,215)= 7; d_Y(215)= -1.4145069394761105E+00_dp
index_Y(1,216)= 7; index_Y(2,216)= 1; index_Y(3,216)= 8; d_Y(216)= 1.0634681558898884E-01_dp
index_Y(1,217)= 8; index_Y(2,217)= 1; index_Y(3,217)= 0; d_Y(217)= -3.4744476473319408E-02_dp
index_Y(1,218)= 8; index_Y(2,218)= 1; index_Y(3,218)= 1; d_Y(218)= 2.5316013291309014E-01_dp
index_Y(1,219)= 8; index_Y(2,219)= 1; index_Y(3,219)= 2; d_Y(219)= -7.6152525136575100E-01_dp
index_Y(1,220)= 8; index_Y(2,220)= 1; index_Y(3,220)= 3; d_Y(220)= 1.2199452241563369E+00_dp
index_Y(1,221)= 8; index_Y(2,221)= 1; index_Y(3,221)= 4; d_Y(221)= -1.1412953127550940E+00_dp
index_Y(1,222)= 8; index_Y(2,222)= 1; index_Y(3,222)= 5; d_Y(222)= 6.4282295895550057E-01_dp
index_Y(1,223)= 8; index_Y(2,223)= 1; index_Y(3,223)= 6; d_Y(223)= -2.1419872523397476E-01_dp
index_Y(1,224)= 8; index_Y(2,224)= 1; index_Y(3,224)= 7; d_Y(224)= 3.8777767747524089E-02_dp
index_Y(1,225)= 8; index_Y(2,225)= 1; index_Y(3,225)= 8; d_Y(225)= -2.9272691210419748E-03_dp
elseif(dipole_surface == "LTP2011P") then
n_r_X = 8; n_theta_X = 8; ncoeffs_X = 200
index_X(1,001)= 0; index_X(2,001)= 0; index_X(3,001)= 1; d_X(001)= -4.5369603348199234E+01_dp
index_X(1,002)= 0; index_X(2,002)= 0; index_X(3,002)= 2; d_X(002)= 3.3121642614652737E+03_dp
index_X(1,003)= 0; index_X(2,003)= 0; index_X(3,003)= 3; d_X(003)= -1.2713239499539919E+04_dp
index_X(1,004)= 0; index_X(2,004)= 0; index_X(3,004)= 4; d_X(004)= 2.0401024583471099E+04_dp
index_X(1,005)= 0; index_X(2,005)= 0; index_X(3,005)= 5; d_X(005)= -1.7219554492854211E+04_dp
index_X(1,006)= 0; index_X(2,006)= 0; index_X(3,006)= 6; d_X(006)= 8.0253517338231704E+03_dp
index_X(1,007)= 0; index_X(2,007)= 0; index_X(3,007)= 7; d_X(007)= -1.9543461683175301E+03_dp
index_X(1,008)= 0; index_X(2,008)= 0; index_X(3,008)= 8; d_X(008)= 1.9411738062995573E+02_dp
index_X(1,009)= 0; index_X(2,009)= 2; index_X(3,009)= 1; d_X(009)= 3.0210459000648279E+02_dp
index_X(1,010)= 0; index_X(2,010)= 2; index_X(3,010)= 2; d_X(010)= -1.1654314922083213E+03_dp
index_X(1,011)= 0; index_X(2,011)= 2; index_X(3,011)= 3; d_X(011)= 1.9876355844482823E+03_dp
index_X(1,012)= 0; index_X(2,012)= 2; index_X(3,012)= 4; d_X(012)= -1.9630023267338838E+03_dp
index_X(1,013)= 0; index_X(2,013)= 2; index_X(3,013)= 5; d_X(013)= 1.2261452365222358E+03_dp
index_X(1,014)= 0; index_X(2,014)= 2; index_X(3,014)= 6; d_X(014)= -4.8433223359058320E+02_dp
index_X(1,015)= 0; index_X(2,015)= 2; index_X(3,015)= 7; d_X(015)= 1.1014236423987313E+02_dp
index_X(1,016)= 0; index_X(2,016)= 2; index_X(3,016)= 8; d_X(016)= -1.0840530090525135E+01_dp
index_X(1,017)= 0; index_X(2,017)= 4; index_X(3,017)= 1; d_X(017)= 1.6872145325226484E+01_dp
index_X(1,018)= 0; index_X(2,018)= 4; index_X(3,018)= 2; d_X(018)= -4.3245483564356618E+01_dp
index_X(1,019)= 0; index_X(2,019)= 4; index_X(3,019)= 3; d_X(019)= 2.2442896296735853E+01_dp
index_X(1,020)= 0; index_X(2,020)= 4; index_X(3,020)= 4; d_X(020)= 3.6711273235951921E+01_dp
index_X(1,021)= 0; index_X(2,021)= 4; index_X(3,021)= 5; d_X(021)= -5.7283495960546134E+01_dp
index_X(1,022)= 0; index_X(2,022)= 4; index_X(3,022)= 6; d_X(022)= 3.2033186406068126E+01_dp
index_X(1,023)= 0; index_X(2,023)= 4; index_X(3,023)= 7; d_X(023)= -8.1826520846589119E+00_dp
index_X(1,024)= 0; index_X(2,024)= 4; index_X(3,024)= 8; d_X(024)= 7.9138613227405585E-01_dp
index_X(1,025)= 0; index_X(2,025)= 6; index_X(3,025)= 1; d_X(025)= 1.3343250226432701E-01_dp
index_X(1,026)= 0; index_X(2,026)= 6; index_X(3,026)= 2; d_X(026)= -1.1984880199825056E+00_dp
index_X(1,027)= 0; index_X(2,027)= 6; index_X(3,027)= 3; d_X(027)= 3.9411367604175211E+00_dp
index_X(1,028)= 0; index_X(2,028)= 6; index_X(3,028)= 4; d_X(028)= -6.3736382917932133E+00_dp
index_X(1,029)= 0; index_X(2,029)= 6; index_X(3,029)= 5; d_X(029)= 5.6213359918610877E+00_dp
index_X(1,030)= 0; index_X(2,030)= 6; index_X(3,030)= 6; d_X(030)= -2.7560199326962902E+00_dp
index_X(1,031)= 0; index_X(2,031)= 6; index_X(3,031)= 7; d_X(031)= 7.0397132626931125E-01_dp
index_X(1,032)= 0; index_X(2,032)= 6; index_X(3,032)= 8; d_X(032)= -7.2786127157087321E-02_dp
index_X(1,033)= 0; index_X(2,033)= 8; index_X(3,033)= 1; d_X(033)= 2.7092784705473605E-04_dp
index_X(1,034)= 0; index_X(2,034)= 8; index_X(3,034)= 2; d_X(034)= -4.0608925539658003E-03_dp
index_X(1,035)= 0; index_X(2,035)= 8; index_X(3,035)= 3; d_X(035)= 1.5108618930639750E-02_dp
index_X(1,036)= 0; index_X(2,036)= 8; index_X(3,036)= 4; d_X(036)= -2.5656002762275421E-02_dp
index_X(1,037)= 0; index_X(2,037)= 8; index_X(3,037)= 5; d_X(037)= 2.3340877331293086E-02_dp
index_X(1,038)= 0; index_X(2,038)= 8; index_X(3,038)= 6; d_X(038)= -1.1759937940041709E-02_dp
index_X(1,039)= 0; index_X(2,039)= 8; index_X(3,039)= 7; d_X(039)= 3.0921277498237032E-03_dp
index_X(1,040)= 0; index_X(2,040)= 8; index_X(3,040)= 8; d_X(040)= -3.3098012590926373E-04_dp
index_X(1,041)= 1; index_X(2,041)= 0; index_X(3,041)= 1; d_X(041)= 1.7738874086750820E+02_dp
index_X(1,042)= 1; index_X(2,042)= 0; index_X(3,042)= 2; d_X(042)= -6.6194392040028943E+03_dp
index_X(1,043)= 1; index_X(2,043)= 0; index_X(3,043)= 3; d_X(043)= 2.4595307914140554E+04_dp
index_X(1,044)= 1; index_X(2,044)= 0; index_X(3,044)= 4; d_X(044)= -3.9013219897221083E+04_dp
index_X(1,045)= 1; index_X(2,045)= 0; index_X(3,045)= 5; d_X(045)= 3.2737811094170491E+04_dp
index_X(1,046)= 1; index_X(2,046)= 0; index_X(3,046)= 6; d_X(046)= -1.5206307423432383E+04_dp
index_X(1,047)= 1; index_X(2,047)= 0; index_X(3,047)= 7; d_X(047)= 3.6951974893005245E+03_dp
index_X(1,048)= 1; index_X(2,048)= 0; index_X(3,048)= 8; d_X(048)= -3.6650121700513409E+02_dp
index_X(1,049)= 1; index_X(2,049)= 2; index_X(3,049)= 1; d_X(049)= -3.8042524644143487E+02_dp
index_X(1,050)= 1; index_X(2,050)= 2; index_X(3,050)= 2; d_X(050)= 1.4748129876645835E+03_dp
index_X(1,051)= 1; index_X(2,051)= 2; index_X(3,051)= 3; d_X(051)= -2.5311905380668904E+03_dp
index_X(1,052)= 1; index_X(2,052)= 2; index_X(3,052)= 4; d_X(052)= 2.5148712676982395E+03_dp
index_X(1,053)= 1; index_X(2,053)= 2; index_X(3,053)= 5; d_X(053)= -1.5763630152998667E+03_dp
index_X(1,054)= 1; index_X(2,054)= 2; index_X(3,054)= 6; d_X(054)= 6.2228967720275978E+02_dp
index_X(1,055)= 1; index_X(2,055)= 2; index_X(3,055)= 7; d_X(055)= -1.4083146205414960E+02_dp
index_X(1,056)= 1; index_X(2,056)= 2; index_X(3,056)= 8; d_X(056)= 1.3748680534394225E+01_dp
index_X(1,057)= 1; index_X(2,057)= 4; index_X(3,057)= 1; d_X(057)= -1.3373702520790175E+01_dp
index_X(1,058)= 1; index_X(2,058)= 4; index_X(3,058)= 2; d_X(058)= 3.4368349304128060E+01_dp
index_X(1,059)= 1; index_X(2,059)= 4; index_X(3,059)= 3; d_X(059)= -1.7705662862770623E+01_dp
index_X(1,060)= 1; index_X(2,060)= 4; index_X(3,060)= 4; d_X(060)= -2.9869929862723438E+01_dp
index_X(1,061)= 1; index_X(2,061)= 4; index_X(3,061)= 5; d_X(061)= 4.6560137615433632E+01_dp
index_X(1,062)= 1; index_X(2,062)= 4; index_X(3,062)= 6; d_X(062)= -2.6153549821350680E+01_dp
index_X(1,063)= 1; index_X(2,063)= 4; index_X(3,063)= 7; d_X(063)= 6.7241769890988508E+00_dp
index_X(1,064)= 1; index_X(2,064)= 4; index_X(3,064)= 8; d_X(064)= -6.5589005081710638E-01_dp
index_X(1,065)= 1; index_X(2,065)= 6; index_X(3,065)= 1; d_X(065)= -3.6751387100821375E-02_dp
index_X(1,066)= 1; index_X(2,066)= 6; index_X(3,066)= 2; d_X(066)= 3.3626411488512531E-01_dp
index_X(1,067)= 1; index_X(2,067)= 6; index_X(3,067)= 3; d_X(067)= -1.1275661887038950E+00_dp
index_X(1,068)= 1; index_X(2,068)= 6; index_X(3,068)= 4; d_X(068)= 1.8521532810364079E+00_dp
index_X(1,069)= 1; index_X(2,069)= 6; index_X(3,069)= 5; d_X(069)= -1.6530192149984941E+00_dp
index_X(1,070)= 1; index_X(2,070)= 6; index_X(3,070)= 6; d_X(070)= 8.1799051694179070E-01_dp
index_X(1,071)= 1; index_X(2,071)= 6; index_X(3,071)= 7; d_X(071)= -2.1051645222178195E-01_dp
index_X(1,072)= 1; index_X(2,072)= 6; index_X(3,072)= 8; d_X(072)= 2.1902739881625166E-02_dp
index_X(1,073)= 2; index_X(2,073)= 0; index_X(3,073)= 1; d_X(073)= -2.2026341186145237E+02_dp
index_X(1,074)= 2; index_X(2,074)= 0; index_X(3,074)= 2; d_X(074)= 5.7031785205919332E+03_dp
index_X(1,075)= 2; index_X(2,075)= 0; index_X(3,075)= 3; d_X(075)= -2.0550148655123492E+04_dp
index_X(1,076)= 2; index_X(2,076)= 0; index_X(3,076)= 4; d_X(076)= 3.2226106761960680E+04_dp
index_X(1,077)= 2; index_X(2,077)= 0; index_X(3,077)= 5; d_X(077)= -2.6885061494203863E+04_dp
index_X(1,078)= 2; index_X(2,078)= 0; index_X(3,078)= 6; d_X(078)= 1.2445227945902654E+04_dp
index_X(1,079)= 2; index_X(2,079)= 0; index_X(3,079)= 7; d_X(079)= -3.0176887122543376E+03_dp
index_X(1,080)= 2; index_X(2,080)= 0; index_X(3,080)= 8; d_X(080)= 2.9885626785513887E+02_dp
index_X(1,081)= 2; index_X(2,081)= 2; index_X(3,081)= 1; d_X(081)= 1.9456185151329555E+02_dp
index_X(1,082)= 2; index_X(2,082)= 2; index_X(3,082)= 2; d_X(082)= -7.5894117952407396E+02_dp
index_X(1,083)= 2; index_X(2,083)= 2; index_X(3,083)= 3; d_X(083)= 1.3133167779591895E+03_dp
index_X(1,084)= 2; index_X(2,084)= 2; index_X(3,084)= 4; d_X(084)= -1.3158697661721817E+03_dp
index_X(1,085)= 2; index_X(2,085)= 2; index_X(3,085)= 5; d_X(085)= 8.2992177491243638E+02_dp
index_X(1,086)= 2; index_X(2,086)= 2; index_X(3,086)= 6; d_X(086)= -3.2826729721757829E+02_dp
index_X(1,087)= 2; index_X(2,087)= 2; index_X(3,087)= 7; d_X(087)= 7.4084063585236436E+01_dp
index_X(1,088)= 2; index_X(2,088)= 2; index_X(3,088)= 8; d_X(088)= -7.1829130178812193E+00_dp
index_X(1,089)= 2; index_X(2,089)= 4; index_X(3,089)= 1; d_X(089)= 3.9355717177472798E+00_dp
index_X(1,090)= 2; index_X(2,090)= 4; index_X(3,090)= 2; d_X(090)= -1.0235047437898174E+01_dp
index_X(1,091)= 2; index_X(2,091)= 4; index_X(3,091)= 3; d_X(091)= 5.4922692793288661E+00_dp
index_X(1,092)= 2; index_X(2,092)= 4; index_X(3,092)= 4; d_X(092)= 8.5995847397580292E+00_dp
index_X(1,093)= 2; index_X(2,093)= 4; index_X(3,093)= 5; d_X(093)= -1.3736088628860784E+01_dp
index_X(1,094)= 2; index_X(2,094)= 4; index_X(3,094)= 6; d_X(094)= 7.7946534546117618E+00_dp
index_X(1,095)= 2; index_X(2,095)= 4; index_X(3,095)= 7; d_X(095)= -2.0207988752208621E+00_dp
index_X(1,096)= 2; index_X(2,096)= 4; index_X(3,096)= 8; d_X(096)= 1.9875343013700331E-01_dp
index_X(1,097)= 2; index_X(2,097)= 6; index_X(3,097)= 1; d_X(097)= 2.5639698780892672E-03_dp
index_X(1,098)= 2; index_X(2,098)= 6; index_X(3,098)= 2; d_X(098)= -2.2285863535500994E-02_dp
index_X(1,099)= 2; index_X(2,099)= 6; index_X(3,099)= 3; d_X(099)= 7.4458721011075646E-02_dp
index_X(1,100)= 2; index_X(2,100)= 6; index_X(3,100)= 4; d_X(100)= -1.2312898757835455E-01_dp
index_X(1,101)= 2; index_X(2,101)= 6; index_X(3,101)= 5; d_X(101)= 1.1068434039498243E-01_dp
index_X(1,102)= 2; index_X(2,102)= 6; index_X(3,102)= 6; d_X(102)= -5.5098921513717869E-02_dp
index_X(1,103)= 2; index_X(2,103)= 6; index_X(3,103)= 7; d_X(103)= 1.4243265089135093E-02_dp
index_X(1,104)= 2; index_X(2,104)= 6; index_X(3,104)= 8; d_X(104)= -1.4859788393550843E-03_dp
index_X(1,105)= 3; index_X(2,105)= 0; index_X(3,105)= 1; d_X(105)= 1.3651440213032902E+02_dp
index_X(1,106)= 3; index_X(2,106)= 0; index_X(3,106)= 2; d_X(106)= -2.7634175766984063E+03_dp
index_X(1,107)= 3; index_X(2,107)= 0; index_X(3,107)= 3; d_X(107)= 9.6745152774145899E+03_dp
index_X(1,108)= 3; index_X(2,108)= 0; index_X(3,108)= 4; d_X(108)= -1.5002983886899117E+04_dp
index_X(1,109)= 3; index_X(2,109)= 0; index_X(3,109)= 5; d_X(109)= 1.2444388982658649E+04_dp
index_X(1,110)= 3; index_X(2,110)= 0; index_X(3,110)= 6; d_X(110)= -5.7409860982858218E+03_dp
index_X(1,111)= 3; index_X(2,111)= 0; index_X(3,111)= 7; d_X(111)= 1.3890161652223824E+03_dp
index_X(1,112)= 3; index_X(2,112)= 0; index_X(3,112)= 8; d_X(112)= -1.3734903421730905E+02_dp
index_X(1,113)= 3; index_X(2,113)= 2; index_X(3,113)= 1; d_X(113)= -5.1541226375674341E+01_dp
index_X(1,114)= 3; index_X(2,114)= 2; index_X(3,114)= 2; d_X(114)= 2.0252430116602773E+02_dp
index_X(1,115)= 3; index_X(2,115)= 2; index_X(3,115)= 3; d_X(115)= -3.5381621035763601E+02_dp
index_X(1,116)= 3; index_X(2,116)= 2; index_X(3,116)= 4; d_X(116)= 3.5805847628593801E+02_dp
index_X(1,117)= 3; index_X(2,117)= 2; index_X(3,117)= 5; d_X(117)= -2.2764688095956990E+02_dp
index_X(1,118)= 3; index_X(2,118)= 2; index_X(3,118)= 6; d_X(118)= 9.0397709662287525E+01_dp
index_X(1,119)= 3; index_X(2,119)= 2; index_X(3,119)= 7; d_X(119)= -2.0380481928821609E+01_dp
index_X(1,120)= 3; index_X(2,120)= 2; index_X(3,120)= 8; d_X(120)= 1.9649408918976405E+00_dp
index_X(1,121)= 3; index_X(2,121)= 4; index_X(3,121)= 1; d_X(121)= -5.1138966153507681E-01_dp
index_X(1,122)= 3; index_X(2,122)= 4; index_X(3,122)= 2; d_X(122)= 1.3661441966523853E+00_dp
index_X(1,123)= 3; index_X(2,123)= 4; index_X(3,123)= 3; d_X(123)= -8.2702172930817142E-01_dp
index_X(1,124)= 3; index_X(2,124)= 4; index_X(3,124)= 4; d_X(124)= -9.7265421016186338E-01_dp
index_X(1,125)= 3; index_X(2,125)= 4; index_X(3,125)= 5; d_X(125)= 1.6898253479760115E+00_dp
index_X(1,126)= 3; index_X(2,126)= 4; index_X(3,126)= 6; d_X(126)= -9.7978204775955646E-01_dp
index_X(1,127)= 3; index_X(2,127)= 4; index_X(3,127)= 7; d_X(127)= 2.5697994352849207E-01_dp
index_X(1,128)= 3; index_X(2,128)= 4; index_X(3,128)= 8; d_X(128)= -2.5478771171322023E-02_dp
index_X(1,129)= 4; index_X(2,129)= 0; index_X(3,129)= 1; d_X(129)= -4.8654387322359185E+01_dp
index_X(1,130)= 4; index_X(2,130)= 0; index_X(3,130)= 2; d_X(130)= 8.2242190879531154E+02_dp
index_X(1,131)= 4; index_X(2,131)= 0; index_X(3,131)= 3; d_X(131)= -2.8031241274627664E+03_dp
index_X(1,132)= 4; index_X(2,132)= 0; index_X(3,132)= 4; d_X(132)= 4.3005863272196921E+03_dp
index_X(1,133)= 4; index_X(2,133)= 0; index_X(3,133)= 5; d_X(133)= -3.5471505975257060E+03_dp
index_X(1,134)= 4; index_X(2,134)= 0; index_X(3,134)= 6; d_X(134)= 1.6309452788358606E+03_dp
index_X(1,135)= 4; index_X(2,135)= 0; index_X(3,135)= 7; d_X(135)= -3.9374442698865153E+02_dp
index_X(1,136)= 4; index_X(2,136)= 0; index_X(3,136)= 8; d_X(136)= 3.8873173765189676E+01_dp
index_X(1,137)= 4; index_X(2,137)= 2; index_X(3,137)= 1; d_X(137)= 7.4263482937953995E+00_dp
index_X(1,138)= 4; index_X(2,138)= 2; index_X(3,138)= 2; d_X(138)= -2.9405856334703230E+01_dp
index_X(1,139)= 4; index_X(2,139)= 2; index_X(3,139)= 3; d_X(139)= 5.1880127762536176E+01_dp
index_X(1,140)= 4; index_X(2,140)= 2; index_X(3,140)= 4; d_X(140)= -5.3055228290167406E+01_dp
index_X(1,141)= 4; index_X(2,141)= 2; index_X(3,141)= 5; d_X(141)= 3.4033537692254413E+01_dp
index_X(1,142)= 4; index_X(2,142)= 2; index_X(3,142)= 6; d_X(142)= -1.3584827501465725E+01_dp
index_X(1,143)= 4; index_X(2,143)= 2; index_X(3,143)= 7; d_X(143)= 3.0637068668156644E+00_dp
index_X(1,144)= 4; index_X(2,144)= 2; index_X(3,144)= 8; d_X(144)= -2.9400400090571566E-01_dp
index_X(1,145)= 4; index_X(2,145)= 4; index_X(3,145)= 1; d_X(145)= 2.4690080975599216E-02_dp
index_X(1,146)= 4; index_X(2,146)= 4; index_X(3,146)= 2; d_X(146)= -6.8697766478130973E-02_dp
index_X(1,147)= 4; index_X(2,147)= 4; index_X(3,147)= 3; d_X(147)= 4.9467067030398937E-02_dp
index_X(1,148)= 4; index_X(2,148)= 4; index_X(3,148)= 4; d_X(148)= 3.3100127227321252E-02_dp
index_X(1,149)= 4; index_X(2,149)= 4; index_X(3,149)= 5; d_X(149)= -7.0895292664445719E-02_dp
index_X(1,150)= 4; index_X(2,150)= 4; index_X(3,150)= 6; d_X(150)= 4.2720818901763380E-02_dp
index_X(1,151)= 4; index_X(2,151)= 4; index_X(3,151)= 7; d_X(151)= -1.1374359110760679E-02_dp
index_X(1,152)= 4; index_X(2,152)= 4; index_X(3,152)= 8; d_X(152)= 1.1342970628049898E-03_dp
index_X(1,153)= 5; index_X(2,153)= 0; index_X(3,153)= 1; d_X(153)= 1.0436540988380131E+01_dp
index_X(1,154)= 5; index_X(2,154)= 0; index_X(3,154)= 2; d_X(154)= -1.5368270153630783E+02_dp
index_X(1,155)= 5; index_X(2,155)= 0; index_X(3,155)= 3; d_X(155)= 5.1110097429431448E+02_dp
index_X(1,156)= 5; index_X(2,156)= 0; index_X(3,156)= 4; d_X(156)= -7.7621947769184590E+02_dp
index_X(1,157)= 5; index_X(2,157)= 0; index_X(3,157)= 5; d_X(157)= 6.3679719376412140E+02_dp
index_X(1,158)= 5; index_X(2,158)= 0; index_X(3,158)= 6; d_X(158)= -2.9185137246518241E+02_dp
index_X(1,159)= 5; index_X(2,159)= 0; index_X(3,159)= 7; d_X(159)= 7.0309352600092097E+01_dp
index_X(1,160)= 5; index_X(2,160)= 0; index_X(3,160)= 8; d_X(160)= -6.9304526297042912E+00_dp
index_X(1,161)= 5; index_X(2,161)= 2; index_X(3,161)= 1; d_X(161)= -5.4869428913236362E-01_dp
index_X(1,162)= 5; index_X(2,162)= 2; index_X(3,162)= 2; d_X(162)= 2.1872350770547087E+00_dp
index_X(1,163)= 5; index_X(2,163)= 2; index_X(3,163)= 3; d_X(163)= -3.8926626315604551E+00_dp
index_X(1,164)= 5; index_X(2,164)= 2; index_X(3,164)= 4; d_X(164)= 4.0196063233264567E+00_dp
index_X(1,165)= 5; index_X(2,165)= 2; index_X(3,165)= 5; d_X(165)= -2.6011652493055912E+00_dp
index_X(1,166)= 5; index_X(2,166)= 2; index_X(3,166)= 6; d_X(166)= 1.0441917028073675E+00_dp
index_X(1,167)= 5; index_X(2,167)= 2; index_X(3,167)= 7; d_X(167)= -2.3573818048228645E-01_dp
index_X(1,168)= 5; index_X(2,168)= 2; index_X(3,168)= 8; d_X(168)= 2.2524187110434468E-02_dp
index_X(1,169)= 6; index_X(2,169)= 0; index_X(3,169)= 1; d_X(169)= -1.3291220057371689E+00_dp
index_X(1,170)= 6; index_X(2,170)= 0; index_X(3,170)= 2; d_X(170)= 1.7575143292323617E+01_dp
index_X(1,171)= 6; index_X(2,171)= 0; index_X(3,171)= 3; d_X(171)= -5.7175015072088598E+01_dp
index_X(1,172)= 6; index_X(2,172)= 0; index_X(3,172)= 4; d_X(172)= 8.6024404207820368E+01_dp
index_X(1,173)= 6; index_X(2,173)= 0; index_X(3,173)= 5; d_X(173)= -7.0220684042135588E+01_dp
index_X(1,174)= 6; index_X(2,174)= 0; index_X(3,174)= 6; d_X(174)= 3.2085804235700714E+01_dp
index_X(1,175)= 6; index_X(2,175)= 0; index_X(3,175)= 7; d_X(175)= -7.7140363956595692E+00_dp
index_X(1,176)= 6; index_X(2,176)= 0; index_X(3,176)= 8; d_X(176)= 7.5918527350713561E-01_dp
index_X(1,177)= 6; index_X(2,177)= 2; index_X(3,177)= 1; d_X(177)= 1.6123411124608911E-02_dp
index_X(1,178)= 6; index_X(2,178)= 2; index_X(3,178)= 2; d_X(178)= -6.4505379064557111E-02_dp
index_X(1,179)= 6; index_X(2,179)= 2; index_X(3,179)= 3; d_X(179)= 1.1543644995943403E-01_dp
index_X(1,180)= 6; index_X(2,180)= 2; index_X(3,180)= 4; d_X(180)= -1.2003620164744744E-01_dp
index_X(1,181)= 6; index_X(2,181)= 2; index_X(3,181)= 5; d_X(181)= 7.8223395979861721E-02_dp
index_X(1,182)= 6; index_X(2,182)= 2; index_X(3,182)= 6; d_X(182)= -3.1554559699329410E-02_dp
index_X(1,183)= 6; index_X(2,183)= 2; index_X(3,183)= 7; d_X(183)= 7.1278330034481030E-03_dp
index_X(1,184)= 6; index_X(2,184)= 2; index_X(3,184)= 8; d_X(184)= -6.7727103487680296E-04_dp
index_X(1,185)= 7; index_X(2,185)= 0; index_X(3,185)= 1; d_X(185)= 9.2289664396406845E-02_dp
index_X(1,186)= 7; index_X(2,186)= 0; index_X(3,186)= 2; d_X(186)= -1.1222172572779332E+00_dp
index_X(1,187)= 7; index_X(2,187)= 0; index_X(3,187)= 3; d_X(187)= 3.5814121358859019E+00_dp
index_X(1,188)= 7; index_X(2,188)= 0; index_X(3,188)= 4; d_X(188)= -5.3438253503695741E+00_dp
index_X(1,189)= 7; index_X(2,189)= 0; index_X(3,189)= 5; d_X(189)= 4.3425221592129066E+00_dp
index_X(1,190)= 7; index_X(2,190)= 0; index_X(3,190)= 6; d_X(190)= -1.9787764705962503E+00_dp
index_X(1,191)= 7; index_X(2,191)= 0; index_X(3,191)= 7; d_X(191)= 4.7483379302160922E-01_dp
index_X(1,192)= 7; index_X(2,192)= 0; index_X(3,192)= 8; d_X(192)= -4.6659087756172335E-02_dp
index_X(1,193)= 8; index_X(2,193)= 0; index_X(3,193)= 1; d_X(193)= -2.6796358497062911E-03_dp
index_X(1,194)= 8; index_X(2,194)= 0; index_X(3,194)= 2; d_X(194)= 3.0566325542951939E-02_dp
index_X(1,195)= 8; index_X(2,195)= 0; index_X(3,195)= 3; d_X(195)= -9.6003394596242131E-02_dp
index_X(1,196)= 8; index_X(2,196)= 0; index_X(3,196)= 4; d_X(196)= 1.4223492896628337E-01_dp
index_X(1,197)= 8; index_X(2,197)= 0; index_X(3,197)= 5; d_X(197)= -1.1513633676733945E-01_dp
index_X(1,198)= 8; index_X(2,198)= 0; index_X(3,198)= 6; d_X(198)= 5.2338159228265617E-02_dp
index_X(1,199)= 8; index_X(2,199)= 0; index_X(3,199)= 7; d_X(199)= -1.2537385453518853E-02_dp
index_X(1,200)= 8; index_X(2,200)= 0; index_X(3,200)= 8; d_X(200)= 1.2300920389397851E-03_dp
!********************************************************************************************
n_r_Y = 9; n_theta_Y = 8; ncoeffs_Y = 225
index_Y(1,001)= 0; index_Y(2,001)= 1; index_Y(3,001)= 0; d_Y(001)= -5.8428391777016677E+03_dp
index_Y(1,002)= 0; index_Y(2,002)= 1; index_Y(3,002)= 1; d_Y(002)= 3.2573988953241562E+04_dp
index_Y(1,003)= 0; index_Y(2,003)= 1; index_Y(3,003)= 2; d_Y(003)= -6.8553974380785585E+04_dp
index_Y(1,004)= 0; index_Y(2,004)= 1; index_Y(3,004)= 3; d_Y(004)= 6.4678362290164412E+04_dp
index_Y(1,005)= 0; index_Y(2,005)= 1; index_Y(3,005)= 4; d_Y(005)= -1.8451749483852953E+04_dp
index_Y(1,006)= 0; index_Y(2,006)= 1; index_Y(3,006)= 5; d_Y(006)= -1.4308801916067372E+04_dp
index_Y(1,007)= 0; index_Y(2,007)= 1; index_Y(3,007)= 6; d_Y(007)= 1.3696210464942968E+04_dp
index_Y(1,008)= 0; index_Y(2,008)= 1; index_Y(3,008)= 7; d_Y(008)= -4.2940724990385352E+03_dp
index_Y(1,009)= 0; index_Y(2,009)= 1; index_Y(3,009)= 8; d_Y(009)= 4.8326208650320768E+02_dp
index_Y(1,010)= 0; index_Y(2,010)= 3; index_Y(3,010)= 0; d_Y(010)= -1.1156119678427785E+02_dp
index_Y(1,011)= 0; index_Y(2,011)= 3; index_Y(3,011)= 1; d_Y(011)= -2.3423585488410899E+03_dp
index_Y(1,012)= 0; index_Y(2,012)= 3; index_Y(3,012)= 2; d_Y(012)= 1.5284863314126444E+04_dp
index_Y(1,013)= 0; index_Y(2,013)= 3; index_Y(3,013)= 3; d_Y(013)= -3.6735022429284116E+04_dp
index_Y(1,014)= 0; index_Y(2,014)= 3; index_Y(3,014)= 4; d_Y(014)= 4.5666097600721812E+04_dp
index_Y(1,015)= 0; index_Y(2,015)= 3; index_Y(3,015)= 5; d_Y(015)= -3.2257718204151926E+04_dp
index_Y(1,016)= 0; index_Y(2,016)= 3; index_Y(3,016)= 6; d_Y(016)= 1.3053587657162425E+04_dp
index_Y(1,017)= 0; index_Y(2,017)= 3; index_Y(3,017)= 7; d_Y(017)= -2.8172483116416261E+03_dp
index_Y(1,018)= 0; index_Y(2,018)= 3; index_Y(3,018)= 8; d_Y(018)= 2.5118648520440911E+02_dp
index_Y(1,019)= 0; index_Y(2,019)= 5; index_Y(3,019)= 0; d_Y(019)= -2.3228852260314397E+01_dp
index_Y(1,020)= 0; index_Y(2,020)= 5; index_Y(3,020)= 1; d_Y(020)= -7.8394696388659213E-01_dp
index_Y(1,021)= 0; index_Y(2,021)= 5; index_Y(3,021)= 2; d_Y(021)= 2.6306077703650351E+02_dp
index_Y(1,022)= 0; index_Y(2,022)= 5; index_Y(3,022)= 3; d_Y(022)= -6.1891025835930122E+02_dp
index_Y(1,023)= 0; index_Y(2,023)= 5; index_Y(3,023)= 4; d_Y(023)= 6.3630381759865122E+02_dp
index_Y(1,024)= 0; index_Y(2,024)= 5; index_Y(3,024)= 5; d_Y(024)= -3.3458737650602416E+02_dp
index_Y(1,025)= 0; index_Y(2,025)= 5; index_Y(3,025)= 6; d_Y(025)= 8.5441636123447097E+01_dp
index_Y(1,026)= 0; index_Y(2,026)= 5; index_Y(3,026)= 7; d_Y(026)= -7.0972841656621313E+00_dp
index_Y(1,027)= 0; index_Y(2,027)= 5; index_Y(3,027)= 8; d_Y(027)= -4.3291673791463836E-01_dp
index_Y(1,028)= 0; index_Y(2,028)= 7; index_Y(3,028)= 0; d_Y(028)= -6.3949404915501873E-01_dp
index_Y(1,029)= 0; index_Y(2,029)= 7; index_Y(3,029)= 1; d_Y(029)= 5.3697620428538357E+00_dp
index_Y(1,030)= 0; index_Y(2,030)= 7; index_Y(3,030)= 2; d_Y(030)= -2.1246715925590252E+01_dp
index_Y(1,031)= 0; index_Y(2,031)= 7; index_Y(3,031)= 3; d_Y(031)= 4.6150850531621927E+01_dp
index_Y(1,032)= 0; index_Y(2,032)= 7; index_Y(3,032)= 4; d_Y(032)= -5.8164070783002217E+01_dp
index_Y(1,033)= 0; index_Y(2,033)= 7; index_Y(3,033)= 5; d_Y(033)= 4.3540851665255104E+01_dp
index_Y(1,034)= 0; index_Y(2,034)= 7; index_Y(3,034)= 6; d_Y(034)= -1.9065031598205678E+01_dp
index_Y(1,035)= 0; index_Y(2,035)= 7; index_Y(3,035)= 7; d_Y(035)= 4.5054792348310002E+00_dp
index_Y(1,036)= 0; index_Y(2,036)= 7; index_Y(3,036)= 8; d_Y(036)= -4.4354261085391045E-01_dp
index_Y(1,037)= 0; index_Y(2,037)= 9; index_Y(3,037)= 0; d_Y(037)= 9.1961188862033083E-04_dp
index_Y(1,038)= 0; index_Y(2,038)= 9; index_Y(3,038)= 1; d_Y(038)= -1.0495907744115129E-02_dp
index_Y(1,039)= 0; index_Y(2,039)= 9; index_Y(3,039)= 2; d_Y(039)= 4.8841840636214329E-02_dp
index_Y(1,040)= 0; index_Y(2,040)= 9; index_Y(3,040)= 3; d_Y(040)= -1.1364750491850373E-01_dp
index_Y(1,041)= 0; index_Y(2,041)= 9; index_Y(3,041)= 4; d_Y(041)= 1.4418584905831722E-01_dp
index_Y(1,042)= 0; index_Y(2,042)= 9; index_Y(3,042)= 5; d_Y(042)= -1.0421563094701014E-01_dp
index_Y(1,043)= 0; index_Y(2,043)= 9; index_Y(3,043)= 6; d_Y(043)= 4.2765590164208334E-02_dp
index_Y(1,044)= 0; index_Y(2,044)= 9; index_Y(3,044)= 7; d_Y(044)= -9.2557807083721855E-03_dp
index_Y(1,045)= 0; index_Y(2,045)= 9; index_Y(3,045)= 8; d_Y(045)= 8.1841915448421787E-04_dp
index_Y(1,046)= 1; index_Y(2,046)= 1; index_Y(3,046)= 0; d_Y(046)= 1.0828513080615849E+04_dp
index_Y(1,047)= 1; index_Y(2,047)= 1; index_Y(3,047)= 1; d_Y(047)= -6.1958344528485381E+04_dp
index_Y(1,048)= 1; index_Y(2,048)= 1; index_Y(3,048)= 2; d_Y(048)= 1.3732693343310739E+05_dp
index_Y(1,049)= 1; index_Y(2,049)= 1; index_Y(3,049)= 3; d_Y(049)= -1.4602616110645336E+05_dp
index_Y(1,050)= 1; index_Y(2,050)= 1; index_Y(3,050)= 4; d_Y(050)= 6.8811950508502021E+04_dp
index_Y(1,051)= 1; index_Y(2,051)= 1; index_Y(3,051)= 5; d_Y(051)= 4.9475135291751940E+02_dp
index_Y(1,052)= 1; index_Y(2,052)= 1; index_Y(3,052)= 6; d_Y(052)= -1.4177604144980898E+04_dp
index_Y(1,053)= 1; index_Y(2,053)= 1; index_Y(3,053)= 7; d_Y(053)= 5.3843224207515595E+03_dp
index_Y(1,054)= 1; index_Y(2,054)= 1; index_Y(3,054)= 8; d_Y(054)= -6.5125864102935884E+02_dp
index_Y(1,055)= 1; index_Y(2,055)= 3; index_Y(3,055)= 0; d_Y(055)= 1.1608320410891611E+02_dp
index_Y(1,056)= 1; index_Y(2,056)= 3; index_Y(3,056)= 1; d_Y(056)= 3.0841664668855374E+03_dp
index_Y(1,057)= 1; index_Y(2,057)= 3; index_Y(3,057)= 2; d_Y(057)= -1.9599848175697436E+04_dp
index_Y(1,058)= 1; index_Y(2,058)= 3; index_Y(3,058)= 3; d_Y(058)= 4.6880598293958697E+04_dp
index_Y(1,059)= 1; index_Y(2,059)= 3; index_Y(3,059)= 4; d_Y(059)= -5.8280899986154342E+04_dp
index_Y(1,060)= 1; index_Y(2,060)= 3; index_Y(3,060)= 5; d_Y(060)= 4.1256074369251844E+04_dp
index_Y(1,061)= 1; index_Y(2,061)= 3; index_Y(3,061)= 6; d_Y(061)= -1.6751348811883654E+04_dp
index_Y(1,062)= 1; index_Y(2,062)= 3; index_Y(3,062)= 7; d_Y(062)= 3.6309072374957323E+03_dp
index_Y(1,063)= 1; index_Y(2,063)= 3; index_Y(3,063)= 8; d_Y(063)= -3.2538908818212803E+02_dp
index_Y(1,064)= 1; index_Y(2,064)= 5; index_Y(3,064)= 0; d_Y(064)= 1.7127138269743227E+01_dp
index_Y(1,065)= 1; index_Y(2,065)= 5; index_Y(3,065)= 1; d_Y(065)= 9.7780005264248757E+00_dp
index_Y(1,066)= 1; index_Y(2,066)= 5; index_Y(3,066)= 2; d_Y(066)= -2.4288699679490583E+02_dp
index_Y(1,067)= 1; index_Y(2,067)= 5; index_Y(3,067)= 3; d_Y(067)= 5.6674945667351130E+02_dp
index_Y(1,068)= 1; index_Y(2,068)= 5; index_Y(3,068)= 4; d_Y(068)= -6.0452587426050741E+02_dp
index_Y(1,069)= 1; index_Y(2,069)= 5; index_Y(3,069)= 5; d_Y(069)= 3.4361181457917701E+02_dp
index_Y(1,070)= 1; index_Y(2,070)= 5; index_Y(3,070)= 6; d_Y(070)= -1.0348652397692786E+02_dp
index_Y(1,071)= 1; index_Y(2,071)= 5; index_Y(3,071)= 7; d_Y(071)= 1.4383600738097812E+01_dp
index_Y(1,072)= 1; index_Y(2,072)= 5; index_Y(3,072)= 8; d_Y(072)= -5.4561409435700625E-01_dp
index_Y(1,073)= 1; index_Y(2,073)= 7; index_Y(3,073)= 0; d_Y(073)= 2.6381298131173025E-01_dp
index_Y(1,074)= 1; index_Y(2,074)= 7; index_Y(3,074)= 1; d_Y(074)= -2.2513328844352145E+00_dp
index_Y(1,075)= 1; index_Y(2,075)= 7; index_Y(3,075)= 2; d_Y(075)= 8.8800878948668469E+00_dp
index_Y(1,076)= 1; index_Y(2,076)= 7; index_Y(3,076)= 3; d_Y(076)= -1.9109779860387789E+01_dp
index_Y(1,077)= 1; index_Y(2,077)= 7; index_Y(3,077)= 4; d_Y(077)= 2.3835633796726142E+01_dp
index_Y(1,078)= 1; index_Y(2,078)= 7; index_Y(3,078)= 5; d_Y(078)= -1.7662596569180096E+01_dp
index_Y(1,079)= 1; index_Y(2,079)= 7; index_Y(3,079)= 6; d_Y(079)= 7.6588459639606299E+00_dp
index_Y(1,080)= 1; index_Y(2,080)= 7; index_Y(3,080)= 7; d_Y(080)= -1.7931398108121357E+00_dp
index_Y(1,081)= 1; index_Y(2,081)= 7; index_Y(3,081)= 8; d_Y(081)= 1.7495153230265714E-01_dp
index_Y(1,082)= 2; index_Y(2,082)= 1; index_Y(3,082)= 0; d_Y(082)= -8.6874732719412368E+03_dp
index_Y(1,083)= 2; index_Y(2,083)= 1; index_Y(3,083)= 1; d_Y(083)= 5.1021782358335586E+04_dp
index_Y(1,084)= 2; index_Y(2,084)= 1; index_Y(3,084)= 2; d_Y(084)= -1.1856528606455067E+05_dp
index_Y(1,085)= 2; index_Y(2,085)= 1; index_Y(3,085)= 3; d_Y(085)= 1.3832302249277182E+05_dp
index_Y(1,086)= 2; index_Y(2,086)= 1; index_Y(3,086)= 4; d_Y(086)= -8.3027166901945369E+04_dp
index_Y(1,087)= 2; index_Y(2,087)= 1; index_Y(3,087)= 5; d_Y(087)= 2.0398308682465227E+04_dp
index_Y(1,088)= 2; index_Y(2,088)= 1; index_Y(3,088)= 6; d_Y(088)= 2.4654199999068514E+03_dp
index_Y(1,089)= 2; index_Y(2,089)= 1; index_Y(3,089)= 7; d_Y(089)= -2.2827310582726786E+03_dp
index_Y(1,090)= 2; index_Y(2,090)= 1; index_Y(3,090)= 8; d_Y(090)= 3.2990680808486650E+02_dp
index_Y(1,091)= 2; index_Y(2,091)= 3; index_Y(3,091)= 0; d_Y(091)= -4.6754929801885737E+01_dp
index_Y(1,092)= 2; index_Y(2,092)= 3; index_Y(3,092)= 1; d_Y(092)= -1.6468072940279089E+03_dp
index_Y(1,093)= 2; index_Y(2,093)= 3; index_Y(3,093)= 2; d_Y(093)= 1.0216542603031499E+04_dp
index_Y(1,094)= 2; index_Y(2,094)= 3; index_Y(3,094)= 3; d_Y(094)= -2.4336093649657036E+04_dp
index_Y(1,095)= 2; index_Y(2,095)= 3; index_Y(3,095)= 4; d_Y(095)= 3.0262911938653473E+04_dp
index_Y(1,096)= 2; index_Y(2,096)= 3; index_Y(3,096)= 5; d_Y(096)= -2.1468007124369775E+04_dp
index_Y(1,097)= 2; index_Y(2,097)= 3; index_Y(3,097)= 6; d_Y(097)= 8.7443606750326289E+03_dp
index_Y(1,098)= 2; index_Y(2,098)= 3; index_Y(3,098)= 7; d_Y(098)= -1.9027857210679285E+03_dp
index_Y(1,099)= 2; index_Y(2,099)= 3; index_Y(3,099)= 8; d_Y(099)= 1.7129168135279906E+02_dp
index_Y(1,100)= 2; index_Y(2,100)= 5; index_Y(3,100)= 0; d_Y(100)= -4.3764170026406646E+00_dp
index_Y(1,101)= 2; index_Y(2,101)= 5; index_Y(3,101)= 1; d_Y(101)= -7.8373275434832976E+00_dp
index_Y(1,102)= 2; index_Y(2,102)= 5; index_Y(3,102)= 2; d_Y(102)= 9.0024360359064303E+01_dp
index_Y(1,103)= 2; index_Y(2,103)= 5; index_Y(3,103)= 3; d_Y(103)= -2.0651224054530849E+02_dp
index_Y(1,104)= 2; index_Y(2,104)= 5; index_Y(3,104)= 4; d_Y(104)= 2.2812987148446541E+02_dp
index_Y(1,105)= 2; index_Y(2,105)= 5; index_Y(3,105)= 5; d_Y(105)= -1.3903806777980640E+02_dp
index_Y(1,106)= 2; index_Y(2,106)= 5; index_Y(3,106)= 6; d_Y(106)= 4.7211169573288316E+01_dp
index_Y(1,107)= 2; index_Y(2,107)= 5; index_Y(3,107)= 7; d_Y(107)= -8.2255573207794441E+00_dp
index_Y(1,108)= 2; index_Y(2,108)= 5; index_Y(3,108)= 8; d_Y(108)= 5.5621079584034305E-01_dp
index_Y(1,109)= 2; index_Y(2,109)= 7; index_Y(3,109)= 0; d_Y(109)= -2.6543678818597982E-02_dp
index_Y(1,110)= 2; index_Y(2,110)= 7; index_Y(3,110)= 1; d_Y(110)= 2.3036099053183534E-01_dp
index_Y(1,111)= 2; index_Y(2,111)= 7; index_Y(3,111)= 2; d_Y(111)= -9.1111843931139447E-01_dp
index_Y(1,112)= 2; index_Y(2,112)= 7; index_Y(3,112)= 3; d_Y(112)= 1.9544922946695351E+00_dp
index_Y(1,113)= 2; index_Y(2,113)= 7; index_Y(3,113)= 4; d_Y(113)= -2.4238456777600277E+00_dp
index_Y(1,114)= 2; index_Y(2,114)= 7; index_Y(3,114)= 5; d_Y(114)= 1.7833819855381989E+00_dp
index_Y(1,115)= 2; index_Y(2,115)= 7; index_Y(3,115)= 6; d_Y(115)= -7.6722022467765782E-01_dp
index_Y(1,116)= 2; index_Y(2,116)= 7; index_Y(3,116)= 7; d_Y(116)= 1.7812924495774496E-01_dp
index_Y(1,117)= 2; index_Y(2,117)= 7; index_Y(3,117)= 8; d_Y(117)= -1.7230348931661865E-02_dp
index_Y(1,118)= 3; index_Y(2,118)= 1; index_Y(3,118)= 0; d_Y(118)= 3.9383501583444358E+03_dp
index_Y(1,119)= 3; index_Y(2,119)= 1; index_Y(3,119)= 1; d_Y(119)= -2.3736734872909554E+04_dp
index_Y(1,120)= 3; index_Y(2,120)= 1; index_Y(3,120)= 2; d_Y(120)= 5.7577324569642020E+04_dp
index_Y(1,121)= 3; index_Y(2,121)= 1; index_Y(3,121)= 3; d_Y(121)= -7.2284295018403602E+04_dp
index_Y(1,122)= 3; index_Y(2,122)= 1; index_Y(3,122)= 4; d_Y(122)= 5.0149441167938770E+04_dp
index_Y(1,123)= 3; index_Y(2,123)= 1; index_Y(3,123)= 5; d_Y(123)= -1.8552433495144898E+04_dp
index_Y(1,124)= 3; index_Y(2,124)= 1; index_Y(3,124)= 6; d_Y(124)= 2.8520833363890270E+03_dp
index_Y(1,125)= 3; index_Y(2,125)= 1; index_Y(3,125)= 7; d_Y(125)= 1.3054776132589905E+02_dp
index_Y(1,126)= 3; index_Y(2,126)= 1; index_Y(3,126)= 8; d_Y(126)= -6.4350459709648931E+01_dp
index_Y(1,127)= 3; index_Y(2,127)= 3; index_Y(3,127)= 0; d_Y(127)= 9.2717552110279939E+00_dp
index_Y(1,128)= 3; index_Y(2,128)= 3; index_Y(3,128)= 1; d_Y(128)= 4.5338721075168723E+02_dp
index_Y(1,129)= 3; index_Y(2,129)= 3; index_Y(3,129)= 2; d_Y(129)= -2.7579176608353373E+03_dp
index_Y(1,130)= 3; index_Y(2,130)= 3; index_Y(3,130)= 3; d_Y(130)= 6.5508926793801147E+03_dp
index_Y(1,131)= 3; index_Y(2,131)= 3; index_Y(3,131)= 4; d_Y(131)= -8.1530881467083163E+03_dp
index_Y(1,132)= 3; index_Y(2,132)= 3; index_Y(3,132)= 5; d_Y(132)= 5.7967755981790360E+03_dp
index_Y(1,133)= 3; index_Y(2,133)= 3; index_Y(3,133)= 6; d_Y(133)= -2.3683363245503715E+03_dp
index_Y(1,134)= 3; index_Y(2,134)= 3; index_Y(3,134)= 7; d_Y(134)= 5.1719063463986822E+02_dp
index_Y(1,135)= 3; index_Y(2,135)= 3; index_Y(3,135)= 8; d_Y(135)= -4.6742688110094605E+01_dp
index_Y(1,136)= 3; index_Y(2,136)= 5; index_Y(3,136)= 0; d_Y(136)= 4.3784929804974126E-01_dp
index_Y(1,137)= 3; index_Y(2,137)= 5; index_Y(3,137)= 1; d_Y(137)= 2.0124058596093164E+00_dp
index_Y(1,138)= 3; index_Y(2,138)= 5; index_Y(3,138)= 2; d_Y(138)= -1.5382753893549307E+01_dp
index_Y(1,139)= 3; index_Y(2,139)= 5; index_Y(3,139)= 3; d_Y(139)= 3.4566424204806481E+01_dp
index_Y(1,140)= 3; index_Y(2,140)= 5; index_Y(3,140)= 4; d_Y(140)= -3.9202473142326880E+01_dp
index_Y(1,141)= 3; index_Y(2,141)= 5; index_Y(3,141)= 5; d_Y(141)= 2.5132562380268382E+01_dp
index_Y(1,142)= 3; index_Y(2,142)= 5; index_Y(3,142)= 6; d_Y(142)= -9.1976071586091166E+00_dp
index_Y(1,143)= 3; index_Y(2,143)= 5; index_Y(3,143)= 7; d_Y(143)= 1.7859862244968099E+00_dp
index_Y(1,144)= 3; index_Y(2,144)= 5; index_Y(3,144)= 8; d_Y(144)= -1.4221126718348387E-01_dp
index_Y(1,145)= 4; index_Y(2,145)= 1; index_Y(3,145)= 0; d_Y(145)= -1.1027156149868561E+03_dp
index_Y(1,146)= 4; index_Y(2,146)= 1; index_Y(3,146)= 1; d_Y(146)= 6.8161331466427855E+03_dp
index_Y(1,147)= 4; index_Y(2,147)= 1; index_Y(3,147)= 2; d_Y(147)= -1.7182440121492898E+04_dp
index_Y(1,148)= 4; index_Y(2,148)= 1; index_Y(3,148)= 3; d_Y(148)= 2.2875789474071840E+04_dp
index_Y(1,149)= 4; index_Y(2,149)= 1; index_Y(3,149)= 4; d_Y(149)= -1.7467745131210548E+04_dp
index_Y(1,150)= 4; index_Y(2,150)= 1; index_Y(3,150)= 5; d_Y(150)= 7.7326116020025074E+03_dp
index_Y(1,151)= 4; index_Y(2,151)= 1; index_Y(3,151)= 6; d_Y(151)= -1.8776612942374941E+03_dp
index_Y(1,152)= 4; index_Y(2,152)= 1; index_Y(3,152)= 7; d_Y(152)= 2.0853550685340088E+02_dp
index_Y(1,153)= 4; index_Y(2,153)= 1; index_Y(3,153)= 8; d_Y(153)= -5.0149630309797431E+00_dp
index_Y(1,154)= 4; index_Y(2,154)= 3; index_Y(3,154)= 0; d_Y(154)= -9.9114520260036443E-01_dp
index_Y(1,155)= 4; index_Y(2,155)= 3; index_Y(3,155)= 1; d_Y(155)= -6.7136728118731298E+01_dp
index_Y(1,156)= 4; index_Y(2,156)= 3; index_Y(3,156)= 2; d_Y(156)= 4.0357173145310298E+02_dp
index_Y(1,157)= 4; index_Y(2,157)= 3; index_Y(3,157)= 3; d_Y(157)= -9.5823170142405161E+02_dp
index_Y(1,158)= 4; index_Y(2,158)= 3; index_Y(3,158)= 4; d_Y(158)= 1.1948539306631246E+03_dp
index_Y(1,159)= 4; index_Y(2,159)= 3; index_Y(3,159)= 5; d_Y(159)= -8.5181525608713855E+02_dp
index_Y(1,160)= 4; index_Y(2,160)= 3; index_Y(3,160)= 6; d_Y(160)= 3.4908880621907701E+02_dp
index_Y(1,161)= 4; index_Y(2,161)= 3; index_Y(3,161)= 7; d_Y(161)= -7.6484976427967922E+01_dp
index_Y(1,162)= 4; index_Y(2,162)= 3; index_Y(3,162)= 8; d_Y(162)= 6.9364222380518186E+00_dp
index_Y(1,163)= 4; index_Y(2,163)= 5; index_Y(3,163)= 0; d_Y(163)= -1.2746893289577343E-02_dp
index_Y(1,164)= 4; index_Y(2,164)= 5; index_Y(3,164)= 1; d_Y(164)= -1.6283774396723061E-01_dp
index_Y(1,165)= 4; index_Y(2,165)= 5; index_Y(3,165)= 2; d_Y(165)= 9.8732533594710503E-01_dp
index_Y(1,166)= 4; index_Y(2,166)= 5; index_Y(3,166)= 3; d_Y(166)= -2.1780451753992907E+00_dp
index_Y(1,167)= 4; index_Y(2,167)= 5; index_Y(3,167)= 4; d_Y(167)= 2.5143243279706127E+00_dp
index_Y(1,168)= 4; index_Y(2,168)= 5; index_Y(3,168)= 5; d_Y(168)= -1.6666167524719526E+00_dp
index_Y(1,169)= 4; index_Y(2,169)= 5; index_Y(3,169)= 6; d_Y(169)= 6.3782156683242874E-01_dp
index_Y(1,170)= 4; index_Y(2,170)= 5; index_Y(3,170)= 7; d_Y(170)= -1.3098288697327121E-01_dp
index_Y(1,171)= 4; index_Y(2,171)= 5; index_Y(3,171)= 8; d_Y(171)= 1.1173600748094259E-02_dp
index_Y(1,172)= 5; index_Y(2,172)= 1; index_Y(3,172)= 0; d_Y(172)= 1.9511508123662236E+02_dp
index_Y(1,173)= 5; index_Y(2,173)= 1; index_Y(3,173)= 1; d_Y(173)= -1.2354985857407928E+03_dp
index_Y(1,174)= 5; index_Y(2,174)= 1; index_Y(3,174)= 2; d_Y(174)= 3.2224016656602016E+03_dp
index_Y(1,175)= 5; index_Y(2,175)= 1; index_Y(3,175)= 3; d_Y(175)= -4.4974293239414765E+03_dp
index_Y(1,176)= 5; index_Y(2,176)= 1; index_Y(3,176)= 4; d_Y(176)= 3.6726601751274707E+03_dp
index_Y(1,177)= 5; index_Y(2,177)= 1; index_Y(3,177)= 5; d_Y(177)= -1.7978261556599946E+03_dp
index_Y(1,178)= 5; index_Y(2,178)= 1; index_Y(3,178)= 6; d_Y(178)= 5.1439224865405663E+02_dp
index_Y(1,179)= 5; index_Y(2,179)= 1; index_Y(3,179)= 7; d_Y(179)= -7.8173752132894776E+01_dp
index_Y(1,180)= 5; index_Y(2,180)= 1; index_Y(3,180)= 8; d_Y(180)= 4.7582169005224273E+00_dp
index_Y(1,181)= 5; index_Y(2,181)= 3; index_Y(3,181)= 0; d_Y(181)= 6.5238887102054832E-02_dp
index_Y(1,182)= 5; index_Y(2,182)= 3; index_Y(3,182)= 1; d_Y(182)= 4.9742931408716800E+00_dp
index_Y(1,183)= 5; index_Y(2,183)= 3; index_Y(3,183)= 2; d_Y(183)= -2.9972307095736369E+01_dp
index_Y(1,184)= 5; index_Y(2,184)= 3; index_Y(3,184)= 3; d_Y(184)= 7.1459537936572701E+01_dp
index_Y(1,185)= 5; index_Y(2,185)= 3; index_Y(3,185)= 4; d_Y(185)= -8.9454713279142197E+01_dp
index_Y(1,186)= 5; index_Y(2,186)= 3; index_Y(3,186)= 5; d_Y(186)= 6.4003785143104835E+01_dp
index_Y(1,187)= 5; index_Y(2,187)= 3; index_Y(3,187)= 6; d_Y(187)= -2.6319108118808060E+01_dp
index_Y(1,188)= 5; index_Y(2,188)= 3; index_Y(3,188)= 7; d_Y(188)= 5.7850389033271199E+00_dp
index_Y(1,189)= 5; index_Y(2,189)= 3; index_Y(3,189)= 8; d_Y(189)= -5.2623643022423039E-01_dp
index_Y(1,190)= 6; index_Y(2,190)= 1; index_Y(3,190)= 0; d_Y(190)= -2.1284827840736583E+01_dp
index_Y(1,191)= 6; index_Y(2,191)= 1; index_Y(3,191)= 1; d_Y(191)= 1.3783558054829109E+02_dp
index_Y(1,192)= 6; index_Y(2,192)= 1; index_Y(3,192)= 2; d_Y(192)= -3.7028385993336815E+02_dp
index_Y(1,193)= 6; index_Y(2,193)= 1; index_Y(3,193)= 3; d_Y(193)= 5.3670058217117173E+02_dp
index_Y(1,194)= 6; index_Y(2,194)= 1; index_Y(3,194)= 4; d_Y(194)= -4.6005254619420379E+02_dp
index_Y(1,195)= 6; index_Y(2,195)= 1; index_Y(3,195)= 5; d_Y(195)= 2.3986456471729525E+02_dp
index_Y(1,196)= 6; index_Y(2,196)= 1; index_Y(3,196)= 6; d_Y(196)= -7.4621583549456147E+01_dp
index_Y(1,197)= 6; index_Y(2,197)= 1; index_Y(3,197)= 7; d_Y(197)= 1.2713815864941807E+01_dp
index_Y(1,198)= 6; index_Y(2,198)= 1; index_Y(3,198)= 8; d_Y(198)= -9.1098804145342172E-01_dp
index_Y(1,199)= 6; index_Y(2,199)= 3; index_Y(3,199)= 0; d_Y(199)= -2.7266201597160311E-03_dp
index_Y(1,200)= 6; index_Y(2,200)= 3; index_Y(3,200)= 1; d_Y(200)= -1.3890418236048951E-01_dp
index_Y(1,201)= 6; index_Y(2,201)= 3; index_Y(3,201)= 2; d_Y(201)= 8.6302004193719739E-01_dp
index_Y(1,202)= 6; index_Y(2,202)= 3; index_Y(3,202)= 3; d_Y(202)= -2.0841598203457945E+00_dp
index_Y(1,203)= 6; index_Y(2,203)= 3; index_Y(3,203)= 4; d_Y(203)= 2.6294525324186946E+00_dp
index_Y(1,204)= 6; index_Y(2,204)= 3; index_Y(3,204)= 5; d_Y(204)= -1.8918128255971371E+00_dp
index_Y(1,205)= 6; index_Y(2,205)= 3; index_Y(3,205)= 6; d_Y(205)= 7.8128164115712462E-01_dp
index_Y(1,206)= 6; index_Y(2,206)= 3; index_Y(3,206)= 7; d_Y(206)= -1.7232173401906614E-01_dp
index_Y(1,207)= 6; index_Y(2,207)= 3; index_Y(3,207)= 8; d_Y(207)= 1.5718670163984427E-02_dp
index_Y(1,208)= 7; index_Y(2,208)= 1; index_Y(3,208)= 0; d_Y(208)= 1.3072513891947799E+00_dp
index_Y(1,209)= 7; index_Y(2,209)= 1; index_Y(3,209)= 1; d_Y(209)= -8.6372154169610553E+00_dp
index_Y(1,210)= 7; index_Y(2,210)= 1; index_Y(3,210)= 2; d_Y(210)= 2.3789523722660253E+01_dp
index_Y(1,211)= 7; index_Y(2,211)= 1; index_Y(3,211)= 3; d_Y(211)= -3.5526970635376472E+01_dp
index_Y(1,212)= 7; index_Y(2,212)= 1; index_Y(3,212)= 4; d_Y(212)= 3.1552252207458725E+01_dp
index_Y(1,213)= 7; index_Y(2,213)= 1; index_Y(3,213)= 5; d_Y(213)= -1.7154825873124022E+01_dp
index_Y(1,214)= 7; index_Y(2,214)= 1; index_Y(3,214)= 6; d_Y(214)= 5.6066546500266927E+00_dp
index_Y(1,215)= 7; index_Y(2,215)= 1; index_Y(3,215)= 7; d_Y(215)= -1.0120573737961336E+00_dp
index_Y(1,216)= 7; index_Y(2,216)= 1; index_Y(3,216)= 8; d_Y(216)= 7.7570472862957707E-02_dp
index_Y(1,217)= 8; index_Y(2,217)= 1; index_Y(3,217)= 0; d_Y(217)= -3.4555418066994373E-02_dp
index_Y(1,218)= 8; index_Y(2,218)= 1; index_Y(3,218)= 1; d_Y(218)= 2.3223833862609206E-01_dp
index_Y(1,219)= 8; index_Y(2,219)= 1; index_Y(3,219)= 2; d_Y(219)= -6.5271843232022964E-01_dp
index_Y(1,220)= 8; index_Y(2,220)= 1; index_Y(3,220)= 3; d_Y(220)= 9.9740864964466303E-01_dp
index_Y(1,221)= 8; index_Y(2,221)= 1; index_Y(3,221)= 4; d_Y(221)= -9.0888159851258443E-01_dp
index_Y(1,222)= 8; index_Y(2,222)= 1; index_Y(3,222)= 5; d_Y(222)= 5.0839987505135653E-01_dp
index_Y(1,223)= 8; index_Y(2,223)= 1; index_Y(3,223)= 6; d_Y(223)= -1.7139035613840276E-01_dp
index_Y(1,224)= 8; index_Y(2,224)= 1; index_Y(3,224)= 7; d_Y(224)= 3.1985031944868778E-02_dp
index_Y(1,225)= 8; index_Y(2,225)= 1; index_Y(3,225)= 8; d_Y(225)= -2.5392866543105371E-03_dp
elseif(dipole_surface == "LTP2011NR") then
n_r_X = 8; n_theta_X = 8; ncoeffs_X = 200
index_X(1,001)= 0; index_X(2,001)= 0; index_X(3,001)= 1; d_X(001)= -3.1856223546828005E+01_dp
index_X(1,002)= 0; index_X(2,002)= 0; index_X(3,002)= 2; d_X(002)= 3.1925671906666976E+03_dp
index_X(1,003)= 0; index_X(2,003)= 0; index_X(3,003)= 3; d_X(003)= -1.2420131648763749E+04_dp
index_X(1,004)= 0; index_X(2,004)= 0; index_X(3,004)= 4; d_X(004)= 2.0075642943638664E+04_dp
index_X(1,005)= 0; index_X(2,005)= 0; index_X(3,005)= 5; d_X(005)= -1.7035726816875936E+04_dp
index_X(1,006)= 0; index_X(2,006)= 0; index_X(3,006)= 6; d_X(006)= 7.9746213922284333E+03_dp
index_X(1,007)= 0; index_X(2,007)= 0; index_X(3,007)= 7; d_X(007)= -1.9493867522180699E+03_dp
index_X(1,008)= 0; index_X(2,008)= 0; index_X(3,008)= 8; d_X(008)= 1.9428164249905967E+02_dp
index_X(1,009)= 0; index_X(2,009)= 2; index_X(3,009)= 1; d_X(009)= 2.9924522206937309E+02_dp
index_X(1,010)= 0; index_X(2,010)= 2; index_X(3,010)= 2; d_X(010)= -1.1569756680752980E+03_dp
index_X(1,011)= 0; index_X(2,011)= 2; index_X(3,011)= 3; d_X(011)= 1.9832648185496291E+03_dp
index_X(1,012)= 0; index_X(2,012)= 2; index_X(3,012)= 4; d_X(012)= -1.9797615328614920E+03_dp
index_X(1,013)= 0; index_X(2,013)= 2; index_X(3,013)= 5; d_X(013)= 1.2565441096005234E+03_dp
index_X(1,014)= 0; index_X(2,014)= 2; index_X(3,014)= 6; d_X(014)= -5.0546976311040635E+02_dp
index_X(1,015)= 0; index_X(2,015)= 2; index_X(3,015)= 7; d_X(015)= 1.1692673396212194E+02_dp
index_X(1,016)= 0; index_X(2,016)= 2; index_X(3,016)= 8; d_X(016)= -1.1674410487112254E+01_dp
index_X(1,017)= 0; index_X(2,017)= 4; index_X(3,017)= 1; d_X(017)= 1.6996178709804553E+01_dp
index_X(1,018)= 0; index_X(2,018)= 4; index_X(3,018)= 2; d_X(018)= -4.4541118073244434E+01_dp
index_X(1,019)= 0; index_X(2,019)= 4; index_X(3,019)= 3; d_X(019)= 2.6566083807165342E+01_dp
index_X(1,020)= 0; index_X(2,020)= 4; index_X(3,020)= 4; d_X(020)= 3.0480209957349871E+01_dp
index_X(1,021)= 0; index_X(2,021)= 4; index_X(3,021)= 5; d_X(021)= -5.2196416202423279E+01_dp
index_X(1,022)= 0; index_X(2,022)= 4; index_X(3,022)= 6; d_X(022)= 2.9720320733140397E+01_dp
index_X(1,023)= 0; index_X(2,023)= 4; index_X(3,023)= 7; d_X(023)= -7.6306119003202184E+00_dp
index_X(1,024)= 0; index_X(2,024)= 4; index_X(3,024)= 8; d_X(024)= 7.3740685389020655E-01_dp
index_X(1,025)= 0; index_X(2,025)= 6; index_X(3,025)= 1; d_X(025)= 1.6293169456628220E-01_dp
index_X(1,026)= 0; index_X(2,026)= 6; index_X(3,026)= 2; d_X(026)= -1.4070879553987652E+00_dp
index_X(1,027)= 0; index_X(2,027)= 6; index_X(3,027)= 3; d_X(027)= 4.4959166166463547E+00_dp
index_X(1,028)= 0; index_X(2,028)= 6; index_X(3,028)= 4; d_X(028)= -7.1377949545012598E+00_dp
index_X(1,029)= 0; index_X(2,029)= 6; index_X(3,029)= 5; d_X(029)= 6.2195188419691476E+00_dp
index_X(1,030)= 0; index_X(2,030)= 6; index_X(3,030)= 6; d_X(030)= -3.0239509686398378E+00_dp
index_X(1,031)= 0; index_X(2,031)= 6; index_X(3,031)= 7; d_X(031)= 7.6786069603986107E-01_dp
index_X(1,032)= 0; index_X(2,032)= 6; index_X(3,032)= 8; d_X(032)= -7.9069733024880406E-02_dp
index_X(1,033)= 0; index_X(2,033)= 8; index_X(3,033)= 1; d_X(033)= 2.8070402693458618E-04_dp
index_X(1,034)= 0; index_X(2,034)= 8; index_X(3,034)= 2; d_X(034)= -4.1218232621815787E-03_dp
index_X(1,035)= 0; index_X(2,035)= 8; index_X(3,035)= 3; d_X(035)= 1.5121787172574841E-02_dp
index_X(1,036)= 0; index_X(2,036)= 8; index_X(3,036)= 4; d_X(036)= -2.5391562452227845E-02_dp
index_X(1,037)= 0; index_X(2,037)= 8; index_X(3,037)= 5; d_X(037)= 2.2891065717885795E-02_dp
index_X(1,038)= 0; index_X(2,038)= 8; index_X(3,038)= 6; d_X(038)= -1.1452798402387998E-02_dp
index_X(1,039)= 0; index_X(2,039)= 8; index_X(3,039)= 7; d_X(039)= 2.9962127675275951E-03_dp
index_X(1,040)= 0; index_X(2,040)= 8; index_X(3,040)= 8; d_X(040)= -3.1964150639396394E-04_dp
index_X(1,041)= 1; index_X(2,041)= 0; index_X(3,041)= 1; d_X(041)= 1.5373003291362602E+02_dp
index_X(1,042)= 1; index_X(2,042)= 0; index_X(3,042)= 2; d_X(042)= -6.4057280427812584E+03_dp
index_X(1,043)= 1; index_X(2,043)= 0; index_X(3,043)= 3; d_X(043)= 2.4073340020083182E+04_dp
index_X(1,044)= 1; index_X(2,044)= 0; index_X(3,044)= 4; d_X(044)= -3.8441814811672084E+04_dp
index_X(1,045)= 1; index_X(2,045)= 0; index_X(3,045)= 5; d_X(045)= 3.2424005520887815E+04_dp
index_X(1,046)= 1; index_X(2,046)= 0; index_X(3,046)= 6; d_X(046)= -1.5125172580457649E+04_dp
index_X(1,047)= 1; index_X(2,047)= 0; index_X(3,047)= 7; d_X(047)= 3.6892392361755774E+03_dp
index_X(1,048)= 1; index_X(2,048)= 0; index_X(3,048)= 8; d_X(048)= -3.6713571347937977E+02_dp
index_X(1,049)= 1; index_X(2,049)= 2; index_X(3,049)= 1; d_X(049)= -3.7675889069706500E+02_dp
index_X(1,050)= 1; index_X(2,050)= 2; index_X(3,050)= 2; d_X(050)= 1.4639580399207916E+03_dp
index_X(1,051)= 1; index_X(2,051)= 2; index_X(3,051)= 3; d_X(051)= -2.5256132448586141E+03_dp
index_X(1,052)= 1; index_X(2,052)= 2; index_X(3,052)= 4; d_X(052)= 2.5365317180957645E+03_dp
index_X(1,053)= 1; index_X(2,053)= 2; index_X(3,053)= 5; d_X(053)= -1.6155044149936002E+03_dp
index_X(1,054)= 1; index_X(2,054)= 2; index_X(3,054)= 6; d_X(054)= 6.4942157546253293E+02_dp
index_X(1,055)= 1; index_X(2,055)= 2; index_X(3,055)= 7; d_X(055)= -1.4951414477602520E+02_dp
index_X(1,056)= 1; index_X(2,056)= 2; index_X(3,056)= 8; d_X(056)= 1.4813093447301071E+01_dp
index_X(1,057)= 1; index_X(2,057)= 4; index_X(3,057)= 1; d_X(057)= -1.3381456732675360E+01_dp
index_X(1,058)= 1; index_X(2,058)= 4; index_X(3,058)= 2; d_X(058)= 3.4809161489940379E+01_dp
index_X(1,059)= 1; index_X(2,059)= 4; index_X(3,059)= 3; d_X(059)= -1.9451065659275628E+01_dp
index_X(1,060)= 1; index_X(2,060)= 4; index_X(3,060)= 4; d_X(060)= -2.7010078130702823E+01_dp
index_X(1,061)= 1; index_X(2,061)= 4; index_X(3,061)= 5; d_X(061)= 4.4144473738557281E+01_dp
index_X(1,062)= 1; index_X(2,062)= 4; index_X(3,062)= 6; d_X(062)= -2.5038527058686668E+01_dp