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mol_user.f90
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mol_user.f90
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!
! This unit is for a user defined potential
!
module mol_user
use accuracy
use moltype
use lapack
use symmetry, only : sym
implicit none
public MLpotential,MLdipole,MLpoten,ML_MEP,MLpoten_xy3_morbid_10
private
integer(ik), parameter :: verbose = 4 ! Verbosity level
!interface MLpotential
! module procedure MLpotential_xy3_morbid_10
!end interface
interface MLpoten
module procedure MLpoten_xy3_morbid_10
end interface
interface MLdipole
module procedure MLdms2xyz_xy3_mb4
end interface ! MLdipole
!procedure (template) :: MLpoten_xy3_morbid_10
contains
!
! Defining potential energy function
!
! This type is for XY3-molecules, MORBID type of expansion #10
! see, e.g., JCP 117, 11265 (2002) for the defienition
!
function MLpoten_xy3_morbid_10(local,xyz) result(f)
real(ark),intent(in) :: local(:)
real(ark),intent(in) :: xyz(:,:)
real(ark) :: f
f = MLpotential_xy3_morbid_10(local,molec%force)
end function MLpoten_xy3_morbid_10
function ML_MEP(dim,rho) result(f)
integer(ik),intent(in) :: dim
real(ark),intent(in) :: rho
real(ark) :: f(dim)
f(1:3) = molec%req(1:3)
f(4:5) = molec%alphaeq(1:2)
f(6) = rho
end function ML_MEP
!
! Defining potential energy function
!
! This type is for XY3-molecules, MORBID type of expansion #10
! see, e.g., JCP 117, 11265 (2002) for the defienition
!
function MLpotential(local,xyz,force) result(f)
real(ark),intent(in) :: local(:)
real(ark),intent(in) :: xyz(:,:)
real(ark),intent(in) :: force(:)
real(ark) :: f
f = MLpotential_xy3_morbid_10(local,force)
end function MLpotential
!
! Defining potential energy function
!
! This type is for XY3-molecules, MORBID type of expansion #10
! see, e.g., JCP 117, 11265 (2002) for the defienition
!
function MLpotential_xy3_morbid_10(local,force) result(f)
real(ark),intent(in) :: local(:)
real(ark),intent(in) :: force(:)
real(ark) :: f
!
integer(ik) :: N
real(ark) :: r14,r24,r34,alpha1,alpha2,alpha3,alpha0
real(ark) :: y1,y2,y3,y4,y5
real(ark) :: v0,rhoe,v1,v2,v3,v4,v5,v6,rho,re14,aa1,tau
real(ark) :: sinrho,alpha,coro,tau_2,cosalpha,sinphi,phi1,phi2,phi3,delta
!
if (verbose>=6) write(out,"('MLpotential_xy3_morbid_10/start')")
!
re14 = molec%req(1)
!
alpha0 = molec%alphaeq(1)
rhoe = pi-asin(2.0_ark*sin(alpha0*0.5_ark)/sqrt(3.0_ark))
!
aa1 = molec%specparam(1)
!
r14 = local(1) ; r24 = local(2) ; r34 = local(3)
!
if (size(local)==6.and.molec%Ndihedrals==1) then
!
select case(trim(molec%coords_transform))
case default
!
write (out,"('MLpotential_xy3_morbid_10: coord. type ',a,' unknown')") trim(molec%coords_transform)
stop 'MLpotential_xy3_morbid_10 - bad coord. type'
!
case('R-SYMPHI-TAU')
!
!
alpha3 = local(4)
alpha2 = local(5)
!
tau = local(6)
!
cosalpha = cos(alpha2)*cos(alpha3) + sin(alpha2)*sin(alpha3)*cos(tau)
!
if ( abs(cosalpha)>1.0_ark+sqrt(small_) ) then
!
write (out,"('MLpoten_xy3_morbid_45760: cosalpha>1: ',f18.8)") cosalpha
stop 'MLpoten_xy3_morbid_45760 - bad cosalpha'
!
endif
!
alpha1 = acos(cosalpha)
!
case('R-S-DELTA','R-2D-DELTA','R-S-RHO','SYM-DELTA','R-SYMPHI-DELTA','R-PHI-DELTA','R-S-DELTA-MEP','R-PHI-DELTA-MEP','R-SYMPHI-DELTA-MEP','R-A2A3-DELTA')
!
alpha3 = local(4)
alpha2 = local(5)
!
delta = local(6)
!
sinphi = sin(alpha2*0.5_ark)/cos(delta)
phi2 = asin(sinphi)*2.0_ark
phi2 = mod(phi2+2.0_ark*pi,2.0_ark*pi)
!
sinphi = sin(alpha3*0.5_ark)/cos(delta)
phi3 = asin(sinphi)*2.0_ark
phi3 = mod(phi3+2.0_ark*pi,2.0_ark*pi)
phi1 = 2.0_ark-phi2-phi3
!
cosalpha = cos( delta )**2+sin(delta)**2*cos(phi1)
!
if ( abs(cosalpha)>1.0_ark+sqrt(small_) ) then
!
write (out,"('MLpoten_xy3_morbid_45760: cosalpha>1: ',f18.8)") cosalpha
stop 'MLpoten_xy3_morbid_45760 - bad cosalpha'
!
elseif ( cosalpha>=1.0_ark) then
alpha1 = 0.0_ark
else
alpha1 = acos(cosalpha)
endif
!
case('R-A2-A3-TAU')
!
!
alpha2 = local(4)
alpha3 = local(5)
!
tau = local(6)
!
cosalpha = cos(alpha2)*cos(alpha3) + sin(alpha2)*sin(alpha3)*cos(tau)
!
if ( abs(cosalpha)>1.0_ark+sqrt(small_) ) then
!
write (out,"('MLpoten_xy3_morbid_45760: cosalpha>1: ',f18.8)") cosalpha
stop 'MLpoten_xy3_morbid_45760 - bad cosalpha'
!
endif
!
alpha1 = acos(cosalpha)
!
end select
elseif (size(local)==7.and.molec%Ndihedrals==1) then
!
alpha3 = local(4)
alpha2 = local(5)
alpha1 = local(6)
tau = local(7)
!
elseif (size(local)==6.and.molec%Ndihedrals==0) then
!
alpha3 = local(4)
alpha2 = local(5)
alpha1 = local(6)
!
tau = sqrt(1.0_ark-cos(alpha1)**2-cos(alpha2)**2-cos(alpha3)**2 &
+2.0_ark*cos(alpha1)*cos(alpha2)*cos(alpha3) )
!
else
write (out,"('MLpoten_xy3_morbid_delta: bad locals; local = ',30f18.8)") local(:)
stop 'MLpoten_xy3_morbid_delta - bad local coordinates'
endif
!
alpha=(alpha1+alpha2+alpha3)/3.0_ark
!
if ( 2.0_ark*sin(alpha*0.5_ark)/sqrt(3.0_ark).ge.1.0_ark ) then
sinrho=1.0_ark ; rho = 0.5_ark*pi
else
sinrho = 2.0_ark*sin(alpha*0.5_ark)/sqrt(3.0_ark)
!
rho=pi-asin(sinrho)
!
endif
!
coro=(sin(rhoe)-sinrho)
!
!if (trim(molec%potentype)=='POTEN_XY3_MORBID_10_MEP') re14 = ML_mep_oh3p(rho)
!
y1=1.0_ark-exp(-aa1*(r14-re14))
y2=1.0_ark-exp(-aa1*(r24-re14))
y3=1.0_ark-exp(-aa1*(r34-re14))
!
y4=(2.0_ark*alpha1-alpha2-alpha3)/sqrt(6.0_ark)
y5=(alpha2-alpha3)/sqrt(2.0_ark)
!
f = poten_xy3_morbid_10(y1,y2,y3,y4,y5,coro,force)
!
if (verbose>=6) write(out,"('MLpotential_xy3_morbid_10/end')")
end function MLpotential_xy3_morbid_10
function poten_xy3_morbid_10(y1,y2,y3,y4,y5,coro,force) result (f)
!
real(ark),intent(in) :: y1,y2,y3,y4,y5,coro
real(ark),intent(in) :: force(:)
real(ark) :: f
!
integer(ik) :: N
real(ark) :: v0,v1,v2,v3,v4,v5,v6
real(ark) :: &
fea1 , &
fea11 ,fea12 ,fea14 ,fea44 , &
fea111 ,fea112 ,fea114 ,fea123 , &
fea124 ,fea144 ,fea155 ,fea455 , &
fea1111,fea1112,fea1114,fea1122, &
fea1123,fea1124,fea1125,fea1144, &
fea1155,fea1244,fea1255,fea1444, &
fea1455,fea4444
real(ark) :: &
fea44444 ,fea33455 ,fea33445 ,fea33345 ,fea33344 ,&
fea33334 ,fea33333 ,fea25555 ,fea24455 ,fea24445 ,fea23333 ,&
fea13455 ,fea13445 ,fea13345 ,fea12355 ,fea11334 ,fea11333 ,&
fea11255 ,fea11245 ,fea11234 ,fea11233 ,fea11135 ,fea11134 ,&
fea11123 ,fea555555,fea444444,fea335555,fea334455,fea334445,&
fea333555,fea333333,fea244555,fea244455,fea233445,fea233444,&
fea233345,fea233344,fea233335,fea223355,fea222335,fea222334,&
fea222333,fea222255,fea222245,fea222233,fea222224,fea145555,&
fea134444,fea133444,fea133345,fea133334,fea133333,fea124555,&
fea124455,fea123455,fea123345,fea113555,fea113345,fea112355,&
fea112335,fea112233,fea111444,fea111234,fea111233,fea111123
!
real(ark) :: s1,s2,s3,s4,s5,tau
!
real(ark) :: &
ve , &
f0a1,f1a,f2a,f3a,f4a,f5a,f6a,f7a,f8a, &
f1a1,f2a1,f3a1,f4a1,f5a1,f6a1, &
f0a11,f1a11,f2a11,f3a11,f4a11, &
f0a12,f1a12,f2a12,f3a12,f4a12, &
f0a14,f1a14,f2a14,f3a14,f4a14, &
f0a44,f1a44,f2a44,f3a44,f4a44, &
f0a111,f1a111,f2a111,f3a111 , &
f0a112,f1a112,f2a112,f3a112 , &
f0a114,f1a114,f2a114,f3a114 , &
f0a123,f1a123,f2a123,f3a123 , &
f0a124,f1a124,f2a124,f3a124 , &
f0a144,f1a144,f2a144,f3a144 , &
f0a155,f1a155,f2a155,f3a155 , &
f0a455,f1a455,f2a455,f3a455 , &
f0a1111,f1a1111,f2a1111 , &
f0a1112,f1a1112,f2a1112 , &
f0a1114,f1a1114,f2a1114 , &
f0a1122,f1a1122,f2a1122 , &
f0a1123,f1a1123,f2a1123 , &
f0a1124,f1a1124,f2a1124 , &
f0a1125,f1a1125,f2a1125 , &
f0a1144,f1a1144,f2a1144 , &
f0a1155,f1a1155,f2a1155 , &
f0a1244,f1a1244,f2a1244 , &
f0a1255,f1a1255,f2a1255 , &
f0a1444,f1a1444,f2a1444 , &
f0a1455,f1a1455,f2a1455 , &
f0a4444,f1a4444,f2a4444 , &
f0a44444 ,f1a44444
real(ark) :: &
f2a44444 ,f0a33455 ,f1a33455 ,f2a33455 ,f0a33445 ,f1a33445 ,&
f2a33445 ,f0a33345 ,f1a33345 ,f2a33345 ,f0a33344 ,f1a33344 ,&
f2a33344 ,f0a33334 ,f1a33334 ,f2a33334 ,f0a33333 ,f1a33333 ,&
f2a33333 ,f0a25555 ,f1a25555 ,f2a25555 ,f0a24455 ,f1a24455 ,&
f2a24455 ,f0a24445 ,f1a24445 ,f2a24445 ,f0a23333 ,f1a23333 ,&
f2a23333 ,f0a13455 ,f1a13455 ,f2a13455 ,f0a13445 ,f1a13445 ,&
f2a13445 ,f0a13345 ,f1a13345 ,f2a13345 ,f0a12355 ,f1a12355 ,&
f2a12355 ,f0a11334 ,f1a11334 ,f2a11334 ,f0a11333 ,f1a11333 ,&
f2a11333 ,f0a11255 ,f1a11255 ,f2a11255 ,f0a11245 ,f1a11245 ,&
f2a11245 ,f0a11234 ,f1a11234 ,f2a11234 ,f0a11233 ,f1a11233 ,&
f2a11233 ,f0a11135 ,f1a11135 ,f2a11135 ,f0a11134 ,f1a11134 ,&
f2a11134 ,f0a11123 ,f1a11123 ,f2a11123 ,f0a555555,f1a555555
real(ark) :: &
f2a555555,f0a444444,f1a444444,f2a444444,f0a335555,f1a335555,&
f2a335555,f0a334455,f1a334455,f2a334455,f0a334445,f1a334445,&
f2a334445,f0a333555,f1a333555,f2a333555,f0a333333,f1a333333,&
f2a333333,f0a244555,f1a244555,f2a244555,f0a244455,f1a244455,&
f2a244455,f0a233445,f1a233445,f2a233445,f0a233444,f1a233444,&
f2a233444,f0a233345,f1a233345,f2a233345,f0a233344,f1a233344,&
f2a233344,f0a233335,f1a233335,f2a233335,f0a223355,f1a223355,&
f2a223355,f0a222335,f1a222335,f2a222335,f0a222334,f1a222334,&
f2a222334,f0a222333,f1a222333,f2a222333,f0a222255,f1a222255,&
f2a222255,f0a222245,f1a222245,f2a222245,f0a222233,f1a222233,&
f2a222233,f0a222224,f1a222224,f2a222224,f0a145555,f1a145555,&
f2a145555,f0a134444,f1a134444,f2a134444,f0a133444,f1a133444,&
f2a133444,f0a133345,f1a133345,f2a133345,f0a133334,f1a133334,&
f2a133334,f0a133333,f1a133333,f2a133333,f0a124555,f1a124555,&
f2a124555,f0a124455,f1a124455,f2a124455,f0a123455,f1a123455,&
f2a123455,f0a123345,f1a123345,f2a123345,f0a113555,f1a113555,&
f2a113555,f0a113345,f1a113345,f2a113345,f0a112355,f1a112355,&
f2a112355,f0a112335,f1a112335,f2a112335,f0a112233,f1a112233,&
f2a112233,f0a111444,f1a111444,f2a111444,f0a111234,f1a111234,&
f2a111234,f0a111233,f1a111233,f2a111233,f0a111123,f1a111123,&
f2a111123
N = size(force)
!
ve = force( 1)
f1a = force( 2)
f2a = force( 3)
f3a = force( 4)
f4a = force( 5)
f5a = force( 6)
f6a = force( 7)
f7a = force( 8)
f0a1 = force( 9)
f1a1 = force( 10)
f2a1 = force( 11)
f3a1 = force( 12)
f4a1 = force( 13)
f5a1 = force( 14)
f6a1 = force( 15)
f0a11 = force( 16)
f1a11 = force( 17)
f2a11 = force( 18)
f3a11 = force( 19)
f4a11 = force( 20)
f0a12 = force( 21)
f1a12 = force( 22)
f2a12 = force( 23)
f3a12 = force( 24)
f4a12 = force( 25)
f0a14 = force( 26)
f1a14 = force( 27)
f2a14 = force( 28)
f3a14 = force( 29)
f4a14 = force( 30)
f0a44 = force( 31)
f1a44 = force( 32)
f2a44 = force( 33)
f3a44 = force( 34)
f4a44 = force( 35)
v0=ve+f1a*coro+f2a*coro**2+f3a*coro**3+f4a*coro**4+f5a*coro**5 &
+f6a*coro**6+f7a*coro**7 ! +f8a*coro**8
fea1= f0a1+f1a1*coro+f2a1*coro**2+f3a1*coro**3+f4a1*coro**4+f5a1*coro**5+f6a1*coro**6
!
fea11= f0a11+f1a11*coro+f2a11*coro**2+f3a11*coro**3+f4a11*coro**4
fea12= f0a12+f1a12*coro+f2a12*coro**2+f3a12*coro**3+f4a12*coro**4
fea14= f0a14+f1a14*coro+f2a14*coro**2+f3a14*coro**3+f4a14*coro**4
fea44= f0a44+f1a44*coro+f2a44*coro**2+f3a44*coro**3+f4a44*coro**4
!
!
v1 = (y3+y2+y1)*fea1
!
v2 = (y2*y3+y1*y3+y1*y2)*fea12 &
+(y2**2+y3**2+y1**2)*fea11 &
+(-sqrt(3.0_ark)*y3*y5/2.0_ark-y3*y4/2.0_ark+y1*y4+sqrt(3.0_ark)*y2*y5/2.0_ark-y2*y4/2.0_ark)*fea14 &
+(y5**2+y4**2)*fea44
!
v3 = 0 ; v4 = 0 ; v5 = 0 ; v6 = 0
!
if (N>35) then
f0a111 = force( 36)
f1a111 = force( 37)
f2a111 = force( 38)
f3a111 = force( 39)
f0a112 = force( 40)
f1a112 = force( 41)
f2a112 = force( 42)
f3a112 = force( 43)
f0a114 = force( 44)
f1a114 = force( 45)
f2a114 = force( 46)
f3a114 = force( 47)
f0a123 = force( 48)
f1a123 = force( 49)
f2a123 = force( 50)
f3a123 = force( 51)
f0a124 = force( 52)
f1a124 = force( 53)
f2a124 = force( 54)
f3a124 = force( 55)
f0a144 = force( 56)
f1a144 = force( 57)
f2a144 = force( 58)
f3a144 = force( 59)
f0a155 = force( 60)
f1a155 = force( 61)
f2a155 = force( 62)
f3a155 = force( 63)
f0a455 = force( 64)
f1a455 = force( 65)
f2a455 = force( 66)
f3a455 = force( 67)
!
fea111= f0a111+f1a111*coro+f2a111*coro**2+f3a111*coro**3
fea112= f0a112+f1a112*coro+f2a112*coro**2+f3a112*coro**3
fea114= f0a114+f1a114*coro+f2a114*coro**2+f3a114*coro**3
fea123= f0a123+f1a123*coro+f2a123*coro**2+f3a123*coro**3
fea124= f0a124+f1a124*coro+f2a124*coro**2+f3a124*coro**3
fea144= f0a144+f1a144*coro+f2a144*coro**2+f3a144*coro**3
fea155= f0a155+f1a155*coro+f2a155*coro**2+f3a155*coro**3
fea455= f0a455+f1a455*coro+f2a455*coro**2+f3a455*coro**3
!
v3 = (y1*y3*y4+y1*y2*y4-2.0_ark*y2*y3*y4+sqrt(3.0_ark)*y1*y2*y5-sqrt(3.0_ark)*y1*y3*y5)*fea124 &
+(3.0_ark/4.0_ark*y3*y4**2-sqrt(3.0_ark)*y3*y4*y5/2.0_ark+y1*y5**2+y2*y5**2/4.0_ark &
+3.0_ark/4.0_ark*y2*y4**2+sqrt(3.0_ark)*y2*y4*y5/2.0_ark+y3*y5**2/4.0_ark)*fea155 &
+(y2*y3**2+y1*y3**2+y1**2*y3+y1*y2**2+y2**2*y3+y1**2*y2)*fea112+ &
(-y4**3/3.0_ark+y4*y5**2)*fea455+fea123*y1*y2*y3 &
+(y1*y4**2+3.0_ark/4.0_ark*y3*y5**2+3.0_ark/4.0_ark*y2*y5**2+y2*y4**2/4.0_ark &
-sqrt(3.0_ark)*y2*y4*y5/2.0_ark+sqrt(3.0_ark)*y3*y4*y5/2.0_ark+y3*y4**2/4.0_ark)*fea144 &
+(y3**3+y2**3+y1**3)*fea111+(-y2**2*y4/2.0_ark-y3**2*y4/2.0_ark+sqrt(3.0_ark)*y2**2*y5/2.0_ark &
+y1**2*y4-sqrt(3.0_ark)*y3**2*y5/2.0_ark)*fea114
!
endif
!
if (N>67) then
!
f0a1111 = force( 68)
f1a1111 = force( 69)
f2a1111 = force( 70)
f0a1112 = force( 71)
f1a1112 = force( 72)
f2a1112 = force( 73)
f0a1114 = force( 74)
f1a1114 = force( 75)
f2a1114 = force( 76)
f0a1122 = force( 77)
f1a1122 = force( 78)
f2a1122 = force( 79)
f0a1123 = force( 80)
f1a1123 = force( 81)
f2a1123 = force( 82)
f0a1124 = force( 83)
f1a1124 = force( 84)
f2a1124 = force( 85)
f0a1125 = force( 86)
f1a1125 = force( 87)
f2a1125 = force( 88)
f0a1144 = force( 89)
f1a1144 = force( 90)
f2a1144 = force( 91)
f0a1155 = force( 92)
f1a1155 = force( 93)
f2a1155 = force( 94)
f0a1244 = force( 95)
f1a1244 = force( 96)
f2a1244 = force( 97)
f0a1255 = force( 98)
f1a1255 = force( 99)
f2a1255 = force(100)
f0a1444 = force(101)
f1a1444 = force(102)
f2a1444 = force(103)
f0a1455 = force(104)
f1a1455 = force(105)
f2a1455 = force(106)
f0a4444 = force(107)
f1a4444 = force(108)
f2a4444 = force(109)
!
fea1111= f0a1111+f1a1111*coro+f2a1111*coro**2
fea1112= f0a1112+f1a1112*coro+f2a1112*coro**2
fea1114= f0a1114+f1a1114*coro+f2a1114*coro**2
fea1122= f0a1122+f1a1122*coro+f2a1122*coro**2
fea1123= f0a1123+f1a1123*coro+f2a1123*coro**2
fea1124= f0a1124+f1a1124*coro+f2a1124*coro**2
fea1125= f0a1125+f1a1125*coro+f2a1125*coro**2
fea1144= f0a1144+f1a1144*coro+f2a1144*coro**2
fea1155= f0a1155+f1a1155*coro+f2a1155*coro**2
fea1244= f0a1244+f1a1244*coro+f2a1244*coro**2
fea1255= f0a1255+f1a1255*coro+f2a1255*coro**2
fea1444= f0a1444+f1a1444*coro+f2a1444*coro**2
fea1455= f0a1455+f1a1455*coro+f2a1455*coro**2
fea4444= f0a4444+f1a4444*coro+f2a4444*coro**2
!
s2 = (y4**4+y5**4+2.0_ark*y4**2*y5**2)*fea4444+(3.0_ark/8.0_ark*sqrt(3.0_ark)*&
y2*y5**3-3.0_ark/8.0_ark*sqrt(3.0_ark)*y3*y4**2*y5-3.0_ark/8.0_ark*sqrt(3.0_ark)*y3*&
y5**3-9.0_ark/8.0_ark*y2*y4*y5**2-y3*y4**3/8.0_ark-y2*y4**3/8.0_ark-9.0_ark/8.0_ark*&
y3*y4*y5**2+y1*y4**3+3.0_ark/8.0_ark*sqrt(3.0_ark)*y2*y4**2*y5)*fea1444 &
+(3.0_ark/4.0_ark*y2**2*y4**2+3.0_ark/4.0_ark*y3**2*y4**2+y1**2*y5**2+y3**2*y5**2/4.0_ark &
-sqrt(3.0_ark)*y3**2*y4*y5/2.0_ark+sqrt(3.0_ark)*y2**2*y4*y5/2.0_ark+y2**2&
*y5**2/4.0_ark)*fea1155
s1 = s2+(y3**2*y4**2/4.0_ark+3.0_ark/4.0_ark*y3**2*y5**2+y1**2*y4**2+y2**2*&
y4**2/4.0_ark+sqrt(3.0_ark)*y3**2*y4*y5/2.0_ark-sqrt(3.0_ark)*y2**2*y4*y5/2.0_ark&
+3.0_ark/4.0_ark*y2**2*y5**2)*fea1144+(y1**3*y4+sqrt(3.0_ark)*y2**3*y5/2.0_ark&
-sqrt(3.0_ark)*y3**3*y5/2.0_ark-y2**3*y4/2.0_ark-y3**3*y4/2.0_ark)*fea1114&
+(y2**4+y1**4+y3**4)*fea1111+(sqrt(3.0_ark)*y1*y3*y4*y5+3.0_ark/2.0_ark*y2*y3*y5**2&
-y2*y3*y4**2/2.0_ark+y1*y2*y4**2-sqrt(3.0_ark)*y1*y2*y4*y5+y1*y3*y4**2)*fea1244
!
s2 = s1+(y1*y3*y5**2+y1*y2*y5**2-sqrt(3.0_ark)*y1*y3*y4*y5-y2*y3*y5**&
2/2.0_ark+3.0_ark/2.0_ark*y2*y3*y4**2+sqrt(3.0_ark)*y1*y2*y4*y5)*fea1255+&
(-y1*y3**2*y4/2.0_ark+y1**2*y3*y4-sqrt(3.0_ark)*y1*y3**2*y5/2.0_ark-sqrt(3.0_ark)*y2&
*y3**2*y5/2.0_ark+y1**2*y2*y4+sqrt(3.0_ark)*y2**2*y3*y5/2.0_ark-y2**2*y3*y4&
/2.0_ark+sqrt(3.0_ark)*y1*y2**2*y5/2.0_ark-y2*y3**2*y4/2.0_ark-y1*y2**2*y4/2.0_ark&
)*fea1124+(y1**2*y2*y5+sqrt(3.0_ark)*y1*y3**2*y4/2.0_ark+sqrt(3.0_ark)*y1*&
y2**2*y4/2.0_ark-sqrt(3.0_ark)*y2*y3**2*y4/2.0_ark-sqrt(3.0_ark)*y2**2*y3*y4/2.0_ark&
-y2**2*y3*y5/2.0_ark+y2*y3**2*y5/2.0_ark-y1*y3**2*y5/2.0_ark+y1*y2**2*y5&
/2.0_ark-y1**2*y3*y5)*fea1125
!
v4 = s2+(y2*y3**3+y1**3*y3+y1**3*y2+y1*y2**3+y1*y3**3+y2**3*y3)*fea1112+&
(y2**2*y3**2+y1**2*y3**2+y1**2*y2**2)*fea1122+(y1*y2**2*y3&
+y1**2*y2*y3+y1*y2*y3**2)*fea1123+(5.0_ark/8.0_ark*y2*y4*y5**2+sqrt(3.0_ark)*&
y2*y5**3/8.0_ark-sqrt(3.0_ark)*y3*y4**2*y5/8.0_ark+sqrt(3.0_ark)*y2*y4**2*y5/8.0_ark&
-3.0_ark/8.0_ark*y2*y4**3+y1*y4*y5**2-sqrt(3.0_ark)*y3*y5**3/8.0_ark&
+5.0_ark/8.0_ark*y3*y4*y5**2-3.0_ark/8.0_ark*y3*y4**3)*fea1455
!
endif
!
if (N>109) then
!
f0a44444 = force(110)
f1a44444 = force(111)
f2a44444 = force(112)
f0a33455 = force(113)
f1a33455 = force(114)
f2a33455 = force(115)
f0a33445 = force(116)
f1a33445 = force(117)
f2a33445 = force(118)
f0a33345 = force(119)
f1a33345 = force(120)
f2a33345 = force(121)
f0a33344 = force(122)
f1a33344 = force(123)
f2a33344 = force(124)
f0a33334 = force(125)
f1a33334 = force(126)
f2a33334 = force(127)
f0a33333 = force(128)
f1a33333 = force(129)
f2a33333 = force(130)
f0a25555 = force(131)
f1a25555 = force(132)
f2a25555 = force(133)
f0a24455 = force(134)
f1a24455 = force(135)
f2a24455 = force(136)
f0a24445 = force(137)
f1a24445 = force(138)
f2a24445 = force(139)
f0a23333 = force(140)
f1a23333 = force(141)
f2a23333 = force(142)
f0a13455 = force(143)
f1a13455 = force(144)
f2a13455 = force(145)
f0a13445 = force(146)
f1a13445 = force(147)
f2a13445 = force(148)
f0a13345 = force(149)
f1a13345 = force(150)
f2a13345 = force(151)
f0a12355 = force(152)
f1a12355 = force(153)
f2a12355 = force(154)
f0a11334 = force(155)
f1a11334 = force(156)
f2a11334 = force(157)
f0a11333 = force(158)
f1a11333 = force(159)
f2a11333 = force(160)
f0a11255 = force(161)
f1a11255 = force(162)
f2a11255 = force(163)
f0a11245 = force(164)
f1a11245 = force(165)
f2a11245 = force(166)
f0a11234 = force(167)
f1a11234 = force(168)
f2a11234 = force(169)
f0a11233 = force(170)
f1a11233 = force(171)
f2a11233 = force(172)
f0a11135 = force(173)
f1a11135 = force(174)
f2a11135 = force(175)
f0a11134 = force(176)
f1a11134 = force(177)
f2a11134 = force(178)
f0a11123 = force(179)
f1a11123 = force(180)
f2a11123 = force(181)
fea44444 = f0a44444 + f1a44444 *coro+ f2a44444 *coro**2
fea33455 = f0a33455 + f1a33455 *coro+ f2a33455 *coro**2
fea33445 = f0a33445 + f1a33445 *coro+ f2a33445 *coro**2
fea33345 = f0a33345 + f1a33345 *coro+ f2a33345 *coro**2
fea33344 = f0a33344 + f1a33344 *coro+ f2a33344 *coro**2
fea33334 = f0a33334 + f1a33334 *coro+ f2a33334 *coro**2
fea33333 = f0a33333 + f1a33333 *coro+ f2a33333 *coro**2
fea25555 = f0a25555 + f1a25555 *coro+ f2a25555 *coro**2
fea24455 = f0a24455 + f1a24455 *coro+ f2a24455 *coro**2
fea24445 = f0a24445 + f1a24445 *coro+ f2a24445 *coro**2
fea23333 = f0a23333 + f1a23333 *coro+ f2a23333 *coro**2
fea13455 = f0a13455 + f1a13455 *coro+ f2a13455 *coro**2
fea13445 = f0a13445 + f1a13445 *coro+ f2a13445 *coro**2
fea13345 = f0a13345 + f1a13345 *coro+ f2a13345 *coro**2
fea12355 = f0a12355 + f1a12355 *coro+ f2a12355 *coro**2
fea11334 = f0a11334 + f1a11334 *coro+ f2a11334 *coro**2
fea11333 = f0a11333 + f1a11333 *coro+ f2a11333 *coro**2
fea11255 = f0a11255 + f1a11255 *coro+ f2a11255 *coro**2
fea11245 = f0a11245 + f1a11245 *coro+ f2a11245 *coro**2
fea11234 = f0a11234 + f1a11234 *coro+ f2a11234 *coro**2
fea11233 = f0a11233 + f1a11233 *coro+ f2a11233 *coro**2
fea11135 = f0a11135 + f1a11135 *coro+ f2a11135 *coro**2
fea11134 = f0a11134 + f1a11134 *coro+ f2a11134 *coro**2
fea11123 = f0a11123 + f1a11123 *coro+ f2a11123 *coro**2
!
s3 = (y4**5-2.0_ark*y4**3*y5**2-3.0_ark*y4*y5**4)*fea44444+(-4.0_ark*y3*y4*&
y5**3*sqrt(3.0_ark)+9.0_ark*y1*y4**2*y5**2-3.0_ark/2.0_ark*y1*y4**4+4.0_ark*y2*y4&
*y5**3*sqrt(3.0_ark)+3.0_ark*y2*y4**4+5.0_ark/2.0_ark*y1*y5**4+3.0_ark*y3*y4**4+&
y2*y5**4+y3*y5**4)*fea25555+(-y2*y4**4+y3*y4**2*y5**2-2.0_ark*y2*y4*y5&
**3*sqrt(3.0_ark)-y3*y4**4-7.0_ark/2.0_ark*y1*y4**2*y5**2-3.0_ark/4.0_ark*y1*y5**4&
+2.0_ark*y3*y4*y5**3*sqrt(3.0_ark)+y2*y4**2*y5**2+5.0_ark/4.0_ark*y1*y4**4)*fea24455
!
s2 = s3+(y2*y4**3*y5-3.0_ark*y3*y4*y5**3+2.0_ark/3.0_ark*y3*y4**4*sqrt(3.0_ark&
)+3.0_ark/4.0_ark*y1*y5**4*sqrt(3.0_ark)+3.0_ark*y2*y4*y5**3-&
7.0_ark/12.0_ark*y1*y4**4*sqrt(3.0_ark)+3.0_ark/2.0_ark*y1*y4**2*y5**2*sqrt(3.0_ark)-y3*y4**3*y5&
+2.0_ark/3.0_ark*y2*y4**4*sqrt(3.0_ark))*fea24445+(-y2**2*y5**3+y3**2*y4**2*y5+ &
y3**2*y5**3+4.0_ark/9.0_ark*y2**2*y4**3*sqrt(3.0_ark)-5.0_ark/9.0_ark*y1**2*y4**3*&
sqrt(3.0_ark)+4.0_ark/9.0_ark*y3**2*y4**3*sqrt(3.0_ark)-y2**2*y4**2*y5&
-y1**2*y4*y5**2*sqrt(3.0_ark))*fea33445+(y3**2*y4*y5**2-y1**2*y4**3/3.0_ark&
-y3**2*y4**3/3.0_ark+y1**2*y4*y5**2+y2**2*y4*y5**2-y2**2*y4**3/3.0_ark)*fea33455
!
s1 = s2+(-y2**3*y4*y5+y3**3*y4*y5+y2**3*y5**2*sqrt(3.0_ark)/3.0_ark+y1**&
3*y4**2*sqrt(3.0_ark)/2.0_ark+y3**3*y5**2*sqrt(3.0_ark)/3.0_ark- &
y1**3*y5**2*sqrt(3.0_ark)/6.0_ark)*fea33345+(y3**3*y4**2+y3**3*y5**2+y2**3*y4**2+y2**3&
*y5**2+y1**3*y5**2+y1**3*y4**2)*fea33344+(y3**4*y4+sqrt(3.0_ark)*y3**&
4*y5+y2**4*y4-2.0_ark*y1**4*y4-sqrt(3.0_ark)*y2**4*y5)*fea33334+(y2**5+ &
y3**5+y1**5)*fea33333+(-4.0_ark/9.0_ark*y1*y2*y4**3*sqrt(3.0_ark)-y1*y2*y5**3+ &
y1*y3*y4**2*y5+y2*y3*y4*y5**2*sqrt(3.0_ark)-y1*y2*y4**2*y5+5.0_ark/9.0_ark&
*y2*y3*y4**3*sqrt(3.0_ark)-4.0_ark/9.0_ark*y1*y3*y4**3*sqrt(3.0_ark)+y1*y3*y5&
**3)*fea13445+(y2*y3*y4*y5**2+y1*y2*y4*y5**2-y2*y3*y4**3/3.0_ark- &
y1*y2*y4**3/3.0_ark-y1*y3*y4**3/3.0_ark+y1*y3*y4*y5**2)*fea13455
s3 = s1+(y1**2*y3*y5**2+y2**2*y3*y4**2+y2**2*y3*y5**2+y1*y2**2*y5**2+&
y1**2*y2*y5**2+y1*y2**2*y4**2+y2*y3**2*y4**2+y1*y3**2*y4**2+&
y1**2*y3*y4**2+y1**2*y2*y4**2+y1*y3**2*y5**2+y2*y3**2*y5**2)*fea11255&
+(2.0_ark/3.0_ark*y1**2*y3*y4**2*sqrt(3.0_ark)+y1*y3**2*y5**2*sqrt(3.0_ark)/2.0_ark+&
y1*y2**2*y5**2*sqrt(3.0_ark)/2.0_ark+y2**2*y3*y5**2*sqrt(3.0_ark)/2.0_ark-&
y1*y2**2*y4*y5+y2*y3**2*y4*y5+y1*y3**2*y4*y5-y2**2*y3*y4*y5+y2*y3**&
2*y4**2*sqrt(3.0_ark)/6.0_ark+y1*y3**2*y4**2*sqrt(3.0_ark)/6.0_ark+y1*y2**2*y4&
**2*sqrt(3.0_ark)/6.0_ark+2.0_ark/3.0_ark*y1**2*y2*y4**2*sqrt(3.0_ark)+&
y2*y3**2*y5**2*sqrt(3.0_ark)/2.0_ark+y2**2*y3*y4**2*sqrt(3.0_ark)/6.0_ark)*fea13345
s4 = s3+(y1**2*y2*y4*y5+y1**2*y3*y4**2*sqrt(3.0_ark)/3.0_ark+y1**2*y2*y4&
**2*sqrt(3.0_ark)/3.0_ark-y1*y2**2*y4**2*sqrt(3.0_ark)/6.0_ark+y2*y3**2*y4*y5-&
y2**2*y3*y4*y5-y1**2*y3*y4*y5+y2*y3**2*y4**2*sqrt(3.0_ark)/3.0_ark+y1*y2&
**2*y5**2*sqrt(3.0_ark)/2.0_ark-y1*y3**2*y4**2*sqrt(3.0_ark)/6.0_ark+y2**2*y3*&
y4**2*sqrt(3.0_ark)/3.0_ark+y1*y3**2*y5**2*sqrt(3.0_ark)/2.0_ark)*fea11245
s2 = s4+(-y1**3*y2*y5+y1**3*y3*y5+y2**3*y3*y5/2.0_ark-y1*y2**3*y4*sqrt(3.0_ark)/2.0_ark-&
y1*y2**3*y5/2.0_ark-y2*y3**3*y5/2.0_ark+y1*y3**3*y5/2.0_ark+y2&
**3*y3*y4*sqrt(3.0_ark)/2.0_ark+y2*y3**3*y4*sqrt(3.0_ark)/2.0_ark-y1*y3**3*y4*&
sqrt(3.0_ark)/2.0_ark)*fea11135+(y1**3*y3*y4-y2**3*y3*y4/2.0_ark+y1**3*y2*y4-&
y2*y3**3*y4/2.0_ark-y1*y3**3*y4/2.0_ark+y1*y2**3*y5*sqrt(3.0_ark)/2.0_ark+y2&
**3*y3*y5*sqrt(3.0_ark)/2.0_ark-y2*y3**3*y5*sqrt(3.0_ark)/2.0_ark-y1*y2**3*y4/&
2.0_ark-y1*y3**3*y5*sqrt(3.0_ark)/2.0_ark)*fea11134
v5 = s2+(y1*y2**4+y1**4*y3+y1**4*y2+y2**4*y3+y2*y3**4+y1*y3**4)*fea23333+&
(-2.0_ark*y2**2*y3**2*y4+y1**2*y2**2*y4-sqrt(3.0_ark)*y1**2*y3**2&
*y5+sqrt(3.0_ark)*y1**2*y2**2*y5+y1**2*y3**2*y4)*fea11334+(y1**2*y3**&
3+y1**3*y3**2+y2**2*y3**3+y1**2*y2**3+y1**3*y2**2+y2**3*y3**2)*fea11333+&
(y1*y2*y3*y4**2+y1*y2*y3*y5**2)*fea12355+(-y1*y2*y3**2*y4/2.0_ark-&
y1*y2**2*y3*y4/2.0_ark-sqrt(3.0_ark)*y1*y2*y3**2*y5/2.0_ark+y1**2*y2*y3*y4+&
sqrt(3.0_ark)*y1*y2**2*y3*y5/2.0_ark)*fea11234+(y1*y2**3*y3+y1*y2*y3**3+&
y1**3*y2*y3)*fea11123+(y1**2*y2**2*y3+y1*y2**2*y3**2+y1**2*y2*y3**2)*fea11233
!
endif
!
if (N>181) then
!
f0a555555 = force(182)
f1a555555 = force(183)
f2a555555 = force(184)
f0a444444 = force(185)
f1a444444 = force(186)
f2a444444 = force(187)
f0a335555 = force(188)
f1a335555 = force(189)
f2a335555 = force(190)
f0a334455 = force(191)
f1a334455 = force(192)
f2a334455 = force(193)
f0a334445 = force(194)
f1a334445 = force(195)
f2a334445 = force(196)
f0a333555 = force(197)
f1a333555 = force(198)
f2a333555 = force(199)
f0a333333 = force(200)
f1a333333 = force(201)
f2a333333 = force(202)
f0a244555 = force(203)
f1a244555 = force(204)
f2a244555 = force(205)
f0a244455 = force(206)
f1a244455 = force(207)
f2a244455 = force(208)
f0a233445 = force(209)
f1a233445 = force(210)
f2a233445 = force(211)
f0a233444 = force(212)
f1a233444 = force(213)
f2a233444 = force(214)
f0a233345 = force(215)
f1a233345 = force(216)
f2a233345 = force(217)
f0a233344 = force(218)
f1a233344 = force(219)
f2a233344 = force(220)
f0a233335 = force(221)
f1a233335 = force(222)
f2a233335 = force(223)
f0a223355 = force(224)
f1a223355 = force(225)
f2a223355 = force(226)
f0a222335 = force(227)
f1a222335 = force(228)
f2a222335 = force(229)
f0a222334 = force(230)
f1a222334 = force(231)
f2a222334 = force(232)
f0a222333 = force(233)
f1a222333 = force(234)
f2a222333 = force(235)
f0a222255 = force(236)
f1a222255 = force(237)
f2a222255 = force(238)
f0a222245 = force(239)
f1a222245 = force(240)
f2a222245 = force(241)
f0a222233 = force(242)
f1a222233 = force(243)
f2a222233 = force(244)
f0a222224 = force(245)
f1a222224 = force(246)
f2a222224 = force(247)
f0a145555 = force(248)
f1a145555 = force(249)
f2a145555 = force(250)
f0a134444 = force(251)
f1a134444 = force(252)
f2a134444 = force(253)
f0a133444 = force(254)
f1a133444 = force(255)
f2a133444 = force(256)
f0a133345 = force(257)
f1a133345 = force(258)
f2a133345 = force(259)
f0a133334 = force(260)
f1a133334 = force(261)
f2a133334 = force(262)
f0a133333 = force(263)
f1a133333 = force(264)
f2a133333 = force(265)
f0a124555 = force(266)
f1a124555 = force(267)
f2a124555 = force(268)
f0a124455 = force(269)
f1a124455 = force(270)
f2a124455 = force(271)
f0a123455 = force(272)
f1a123455 = force(273)
f2a123455 = force(274)
f0a123345 = force(275)
f1a123345 = force(276)
f2a123345 = force(277)
f0a113555 = force(278)
f1a113555 = force(279)
f2a113555 = force(280)
f0a113345 = force(281)
f1a113345 = force(282)
f2a113345 = force(283)
f0a112355 = force(284)
f1a112355 = force(285)
f2a112355 = force(286)
f0a112335 = force(287)
f1a112335 = force(288)
f2a112335 = force(289)
f0a112233 = force(290)
f1a112233 = force(291)
f2a112233 = force(292)
f0a111444 = force(293)
f1a111444 = force(294)
f2a111444 = force(295)
f0a111234 = force(296)
f1a111234 = force(297)
f2a111234 = force(298)
f0a111233 = force(299)
f1a111233 = force(300)
f2a111233 = force(301)
f0a111123 = force(302)
f1a111123 = force(303)
f2a111123 = force(304)
fea555555= f0a555555 + f1a555555*coro+ f2a555555*coro**2
fea444444= f0a444444 + f1a444444*coro+ f2a444444*coro**2
fea335555= f0a335555 + f1a335555*coro+ f2a335555*coro**2
fea334455= f0a334455 + f1a334455*coro+ f2a334455*coro**2
fea334445= f0a334445 + f1a334445*coro+ f2a334445*coro**2
fea333555= f0a333555 + f1a333555*coro+ f2a333555*coro**2
fea333333= f0a333333 + f1a333333*coro+ f2a333333*coro**2
fea244555= f0a244555 + f1a244555*coro+ f2a244555*coro**2
fea244455= f0a244455 + f1a244455*coro+ f2a244455*coro**2
fea233445= f0a233445 + f1a233445*coro+ f2a233445*coro**2
fea233444= f0a233444 + f1a233444*coro+ f2a233444*coro**2
fea233345= f0a233345 + f1a233345*coro+ f2a233345*coro**2
fea233344= f0a233344 + f1a233344*coro+ f2a233344*coro**2
fea233335= f0a233335 + f1a233335*coro+ f2a233335*coro**2
fea223355= f0a223355 + f1a223355*coro+ f2a223355*coro**2
fea222335= f0a222335 + f1a222335*coro+ f2a222335*coro**2
fea222334= f0a222334 + f1a222334*coro+ f2a222334*coro**2
fea222333= f0a222333 + f1a222333*coro+ f2a222333*coro**2
fea222255= f0a222255 + f1a222255*coro+ f2a222255*coro**2
fea222245= f0a222245 + f1a222245*coro+ f2a222245*coro**2
fea222233= f0a222233 + f1a222233*coro+ f2a222233*coro**2
fea222224= f0a222224 + f1a222224*coro+ f2a222224*coro**2
fea145555= f0a145555 + f1a145555*coro+ f2a145555*coro**2
fea134444= f0a134444 + f1a134444*coro+ f2a134444*coro**2
fea133444= f0a133444 + f1a133444*coro+ f2a133444*coro**2
fea133345= f0a133345 + f1a133345*coro+ f2a133345*coro**2
fea133334= f0a133334 + f1a133334*coro+ f2a133334*coro**2
fea133333= f0a133333 + f1a133333*coro+ f2a133333*coro**2
fea124555= f0a124555 + f1a124555*coro+ f2a124555*coro**2
fea124455= f0a124455 + f1a124455*coro+ f2a124455*coro**2
fea123455= f0a123455 + f1a123455*coro+ f2a123455*coro**2
fea123345= f0a123345 + f1a123345*coro+ f2a123345*coro**2
fea113555= f0a113555 + f1a113555*coro+ f2a113555*coro**2
fea113345= f0a113345 + f1a113345*coro+ f2a113345*coro**2
fea112355= f0a112355 + f1a112355*coro+ f2a112355*coro**2
fea112335= f0a112335 + f1a112335*coro+ f2a112335*coro**2
fea112233= f0a112233 + f1a112233*coro+ f2a112233*coro**2
fea111444= f0a111444 + f1a111444*coro+ f2a111444*coro**2
fea111234= f0a111234 + f1a111234*coro+ f2a111234*coro**2
fea111233= f0a111233 + f1a111233*coro+ f2a111233*coro**2
fea111123= f0a111123 + f1a111123*coro+ f2a111123*coro**2
!
s3 = (y2**3*y4**3*sqrt(3.0_ark)-y2**3*y4**2*y5+y3**3*y4**2*y5-&
5.0_ark/3.0_ark*y2**3*y4*y5**2*sqrt(3.0_ark)+y3**3*y4**3*sqrt(3.0_ark)-5.0_ark/3.0_ark*y3**&
3*y4*y5**2*sqrt(3.0_ark)-y2**3*y5**3+y3**3*y5**3-8.0_ark/3.0_ark*y1**3*y4*y5**2*sqrt(3.0_ark))*fea333555+&
(y1**4*y5**2*sqrt(3.0_ark)/2.0_ark+y2**4*y4*y5+y2**4*y4**2*sqrt(3.0_ark)/3.0_ark+&
y3**4*y4**2*sqrt(3.0_ark)/3.0_ark-y3**4*y4&
*y5-y1**4*y4**2*sqrt(3.0_ark)/6.0_ark)*fea222245+(y1*y3**5+y1*y2**5+y2**&
5*y3+y1**5*y3+y1**5*y2+y2*y3**5)*fea133333+(y1**4*y3*y4-2.0_ark*y2**4&
*y3*y4+y1**4*y2*y4+y1*y2**4*y5*sqrt(3.0_ark)+y1*y3**4*y4-2.0_ark*y2*y3**&
4*y4+y1**4*y2*y5*sqrt(3.0_ark)-y1*y3**4*y5*sqrt(3.0_ark)-y1**4*y3*y5*sqrt(3.0_ark)+&
y1*y2**4*y4)*fea133334+(-y1*y2*y3*y4**3/3.0_ark+y1*y2*y3*y4*y5**2)*fea123455
s4 = s3+(2.0_ark/3.0_ark*sqrt(3.0_ark)*y1*y2**2*y3**2*y4-y1**2*y2**2*y3*y5-&
sqrt(3.0_ark)*y1**2*y2**2*y3*y4/3.0_ark+y1**2*y2*y3**2*y5-&
sqrt(3.0_ark)*y1**2*y2*y3**2*y4/3.0_ark)*fea112335+(y1*y2**2*y3*y5**2+y1*y2*y3**2*y5**2+&
y1*y2*y3**2*y4**2+y1*y2**2*y3*y4**2+y1**2*y2*y3*y4**2+y1**2*y2*y3*y5**2)*fea112355
s2 = s4+(y2**3*y3**2*y5-y1**3*y2**2*y5/2.0_ark-y1**2*y3**3*y5/2.0_ark-y2&
**2*y3**3*y5+y1**3*y2**2*y4*sqrt(3.0_ark)/2.0_ark-y1**2*y2**3*y4*sqrt(3.0_ark)/2.0_ark+&
y1**3*y3**2*y5/2.0_ark+y1**2*y2**3*y5/2.0_ark+y1**3*y3**2*y4*sqrt(3.0_ark)/2.0_ark-&
y1**2*y3**3*y4*sqrt(3.0_ark)/2.0_ark)*fea222335+(-y1**2*y2&
**2*y5**2*sqrt(3.0_ark)/2.0_ark-y1**2*y3**2*y5**2*sqrt(3.0_ark)/2.0_ark-y1**2*&
y2**2*y4**2*sqrt(3.0_ark)/6.0_ark-y1**2*y2**2*y4*y5-2.0_ark/3.0_ark*y2**2*y3**&
2*y4**2*sqrt(3.0_ark)+y1**2*y3**2*y4*y5-y1**2*y3**2*y4**2*sqrt(3.0_ark)/&
6.0_ark)*fea113345+(y2**2*y3**2*y5**2+y2**2*y3**2*y4**2+y1**2*y2**2*y5**2+&
y1**2*y3**2*y4**2+y1**2*y3**2*y5**2+y1**2*y2**2*y4**2)*fea223355
s3 = s2+(y1*y2*y3**2*y4**2*sqrt(3.0_ark)/6.0_ark+y1*y2*y3**2*y4*y5+y1*y2&
*y3**2*y5**2*sqrt(3.0_ark)/2.0_ark+2.0_ark/3.0_ark*y1**2*y2*y3*y4**2*sqrt(3.0_ark&
)-y1*y2**2*y3*y4*y5+y1*y2**2*y3*y4**2*sqrt(3.0_ark)/6.0_ark+y1*y2**2*y3*&
y5**2*sqrt(3.0_ark)/2.0_ark)*fea123345+(-y1**3*y2**2*y5*sqrt(3.0_ark)/2.0_ark-&
y1**3*y2**2*y4/2.0_ark-y1**3*y3**2*y4/2.0_ark-y1**2*y2**3*y4/2.0_ark+y1**3*&
y3**2*y5*sqrt(3.0_ark)/2.0_ark-y1**2*y3**3*y4/2.0_ark+y2**3*y3**2*y4-y1**2*&
y2**3*y5*sqrt(3.0_ark)/2.0_ark+y2**2*y3**3*y4+y1**2*y3**3*y5*sqrt(3.0_ark)/&
2.0_ark)*fea222334+(3.0_ark*y3**2*y4**4+5.0_ark/2.0_ark*y1**2*y5**4+y2**2*y5**&
4+3.0_ark*y2**2*y4**4-4.0_ark*y3**2*y4*y5**3*sqrt(3.0_ark)+y3**2*y5**4+9.0_ark&
*y1**2*y4**2*y5**2-3.0_ark/2.0_ark*y1**2*y4**4+4.0_ark*y2**2*y4*y5**3*sqrt(&
3.0_ark))*fea335555+(y1**3*y2**3+y1**3*y3**3+y2**3*y3**3)*fea222333
s4 = s3+(y3*y4**5/5.0_ark-y2*y4**4*y5*sqrt(3.0_ark)/2.0_ark-2.0_ark/5.0_ark*y1*y4&
**5-2.0_ark*y1*y4**3*y5**2-3.0_ark/10.0_ark*y2*y5**5*sqrt(3.0_ark)+y3*y4**3*y5&
**2+y3*y4**4*y5*sqrt(3.0_ark)/2.0_ark+y2*y4**3*y5**2+3.0_ark/10.0_ark*y3*y5**5&
*sqrt(3.0_ark)+y2*y4**5/5.0_ark)*fea244455+(y2**5*y4-2.0_ark*y1**5*y4-sqrt(&
3.0_ark)*y2**5*y5+y3**5*y4+sqrt(3.0_ark)*y3**5*y5)*fea222224
s5 = s4+(-y3*y5**5*sqrt(3.0_ark)/5.0_ark+y2*y5**5*sqrt(3.0_ark)/5.0_ark+y1*y4*&
y5**4-7.0_ark/15.0_ark*y2*y4**5+y2*y4**4*y5*sqrt(3.0_ark)/3.0_ark-y3*y4**4*y5*&
sqrt(3.0_ark)/3.0_ark+y3*y4*y5**4+y2*y4*y5**4+2.0_ark*y1*y4**3*y5**2-7.0_ark/15.0_ark*y3*y4**5-&
y1*y4**5/15.0_ark)*fea145555
s1 = s5+(-sqrt(3.0_ark)*y1*y2*y3**3*y5/2.0_ark+y1**3*y2*y3*y4+sqrt(3.0_ark)&
*y1*y2**3*y3*y5/2.0_ark-y1*y2**3*y3*y4/2.0_ark-y1*y2*y3**3*y4/2.0_ark)*fea111234+&
(y3*y4**4*y5/3.0_ark+y3*y4**5*sqrt(3.0_ark)/18.0_ark-y2*y4**4*y5/3.0_ark&
-y2*y4*y5**4*sqrt(3.0_ark)/2.0_ark-y3*y4**2*y5**3+2.0_ark/9.0_ark*y1*y4**5*sqrt(3.0_ark)+&
y2*y4**5*sqrt(3.0_ark)/18.0_ark+y2*y4**2*y5**3-2.0_ark/3.0_ark*y1*y4**&
3*y5**2*sqrt(3.0_ark)-y3*y4*y5**4*sqrt(3.0_ark)/2.0_ark)*fea244555+(y1*y2*y4**2*y5**2-&
3.0_ark/4.0_ark*y2*y3*y4**4-y1*y2*y5**4-y1*y3*y5**4+5.0_ark/4.0_ark*y2*y3*y5**4+&
y1*y3*y4**2*y5**2-7.0_ark/2.0_ark*y2*y3*y4**2*y5**2-2.0_ark*y1&
*y2*y4**3*y5*sqrt(3.0_ark)+2.0_ark*y1*y3*y4**3*y5*sqrt(3.0_ark))*fea124455
s3 = s1+(y2**6+y1**6+y3**6)*fea333333+(y1*y2**4*y3+y1**4*y2*y3+y1*&
y2*y3**4)*fea111123+fea112233*y1**2*y2**2*y3**2+(y1**4*y4**2+y2**4&
*y4**2+y2**4*y5**2+y3**4*y4**2+y1**4*y5**2+y3**4*y5**2)*fea222255
s4 = s3+(3.0_ark*y1*y3*y5**4+y1*y3*y4**4+9.0_ark*y2*y3*y4**2*y5**2-3.0_ark/&
2.0_ark*y2*y3*y5**4-4.0_ark*y1*y3*y4**3*y5*sqrt(3.0_ark)+y1*y2*y4**4+&
4.0_ark*y1*y2*y4**3*y5*sqrt(3.0_ark)+3.0_ark*y1*y2*y5**4+5.0_ark/2.0_ark*y2*y3*y4**4)*fea134444+&
(-y1*y3**2*y5**3*sqrt(3.0_ark)/3.0_ark-7.0_ark/3.0_ark*y1**2*y3*y4*y5&
**2+5.0_ark/3.0_ark*y1*y2**2*y4**2*y5*sqrt(3.0_ark)-13.0_ark/3.0_ark*y2**2*y3*y4*&
y5**2-4.0_ark/3.0_ark*y2*y3**2*y5**3*sqrt(3.0_ark)-7.0_ark/3.0_ark*y1**2*y2*y4*y5&
**2-16.0_ark/3.0_ark*y1*y3**2*y4*y5**2+4.0_ark/3.0_ark*y1**2*y3*y4**2*y5*sqrt(&
3.0_ark)+4.0_ark/3.0_ark*y2**2*y3*y5**3*sqrt(3.0_ark)+3.0_ark*y1**2*y2*y4**3+&
y2*y3**2*y4**3+y1*y2**2*y5**3*sqrt(3.0_ark)/3.0_ark+y2**2*y3*y4**3-13.0_ark/3.0_ark&
*y2*y3**2*y4*y5**2-5.0_ark/3.0_ark*y1*y3**2*y4**2*y5*sqrt(3.0_ark)-&
4.0_ark/3.0_ark*y1**2*y2*y4**2*y5*sqrt(3.0_ark)+3.0_ark*y1**2*y3*y4**3-16.0_ark/3.0_ark*y1*&
y2**2*y4*y5**2)*fea233444
s5 = s4+(2.0_ark*y1*y3**2*y5**3+4.0_ark*y2*y3**2*y5**3+4.0_ark*y2**2*y3*y4*&
y5**2*sqrt(3.0_ark)-2.0_ark*y1*y2**2*y5**3+y1**2*y3*y4*y5**2*sqrt(3.0_ark)+&
6.0_ark*y1*y3**2*y4**2*y5-6.0_ark*y1*y2**2*y4**2*y5-3.0_ark*y1**2*y3*y4**2*&
y5+y1**2*y2*y4*y5**2*sqrt(3.0_ark)+4.0_ark*y1*y3**2*y4*y5**2*sqrt(3.0_ark)-&
3.0_ark*y1**2*y2*y4**3*sqrt(3.0_ark)-4.0_ark*y2**2*y3*y5**3+3.0_ark*y1**2*y2*y4**2*y5-&
y1**2*y2*y5**3+y1**2*y3*y5**3-3.0_ark*y1**2*y3*y4**3*sqrt(3.0_ark&
)+4.0_ark*y2*y3**2*y4*y5**2*sqrt(3.0_ark)+4.0_ark*y1*y2**2*y4*y5**2*sqrt(3.0_ark))*fea113555
s2 = s5+(-2.0_ark/3.0_ark*y3**2*y4**4*sqrt(3.0_ark)-3.0_ark/2.0_ark*y1**2*y4**2*y5**2*sqrt(3.0_ark)-&
3.0_ark/4.0_ark*y1**2*y5**4*sqrt(3.0_ark)-y2**2*y4**3*y5+&
7.0_ark/12.0_ark*y1**2*y4**4*sqrt(3.0_ark)+y3**2*y4**3*y5+3.0_ark*y3**2*y4*y5**3&
-2.0_ark/3.0_ark*y2**2*y4**4*sqrt(3.0_ark)-3.0_ark*y2**2*y4*y5**3)*fea334445+(&
-3.0_ark*y1*y3*y4**3*y5+2.0_ark/3.0_ark*y1*y2*y5**4*sqrt(3.0_ark)-y1*y3*y4*y5**3+&
2.0_ark/3.0_ark*y1*y3*y5**4*sqrt(3.0_ark)+3.0_ark*y1*y2*y4**3*y5-7.0_ark/12.0_ark&
*y2*y3*y5**4*sqrt(3.0_ark)+3.0_ark/2.0_ark*y2*y3*y4**2*y5**2*sqrt(3.0_ark)+y1*&
y2*y4*y5**3+3.0_ark/4.0_ark*y2*y3*y4**4*sqrt(3.0_ark))*fea124555+(2.0_ark*y3**&
2*y4*y5**3*sqrt(3.0_ark)-7.0_ark/2.0_ark*y1**2*y4**2*y5**2+y2**2*y4**2*y5**&
2-y2**2*y4**4-y3**2*y4**4-2.0_ark*y2**2*y4*y5**3*sqrt(3.0_ark)-3.0_ark/4.0_ark&
*y1**2*y5**4+5.0_ark/4.0_ark*y1**2*y4**4+y3**2*y4**2*y5**2)*fea334455
s3 = s2+(-6.0_ark*y4**2*y5**4+9.0_ark*y4**4*y5**2+y5**6)*fea555555+(y2*y3**3*y4**2+&
y2*y3**3*y5**2+y1*y3**3*y4**2+y1*y2**3*y4**2+y1**3*y2*y4**2+&
y1*y2**3*y5**2+y1**3*y3*y5**2+y1**3*y3*y4**2+y1**3*y2*y5**2+y2**3*y3*y4**2+&
y1*y3**3*y5**2+y2**3*y3*y5**2)*fea233344+(y1*y2**3*y5**2*sqrt(3.0_ark)/6.0_ark-&
y2**3*y3*y5**2*sqrt(3.0_ark)/3.0_ark-y2*y3**3*y5**2&
*sqrt(3.0_ark)/3.0_ark+y1**3*y2*y4*y5-y1**3*y2*y5**2*sqrt(3.0_ark)/3.0_ark-&
y1**3*y3*y4*y5-y1**3*y3*y5**2*sqrt(3.0_ark)/3.0_ark-y1*y3**3*y4**2*sqrt(3.0_ark&
)/2.0_ark+y1*y3**3*y5**2*sqrt(3.0_ark)/6.0_ark-y2**3*y3*y4*y5+y2*y3**3*y4*&
y5-y1*y2**3*y4**2*sqrt(3.0_ark)/2.0_ark)*fea233345+(-3.0_ark*y2**3*y4*y5**2&
+y3**3*y4**3-3.0_ark*y3**3*y4*y5**2-3.0_ark*y1**3*y4*y5**2+y2**3*y4**3+&
y1**3*y4**3)*fea111444+(y1*y2**3*y3**2+y1**3*y2**2*y3+y1**2*y2**3*y3+&
y1*y2**2*y3**3+y1**2*y2*y3**3+y1**3*y2*y3**2)*fea111233
s4 = s3+(9.0_ark*y4**2*y5**4-6.0_ark*y4**4*y5**2+y4**6)*fea444444+(-5.0_ark&
/3.0_ark*y1*y2**2*y4**2*y5*sqrt(3.0_ark)+y1*y2**2*y4**3-4.0_ark/3.0_ark*y1**2*&