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cacm3_LinearAlgebra.f90
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cacm3_LinearAlgebra.f90
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! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
! Linear Algebra Data and Routines File
!
! Generated by KPP-2.2.3 symbolic chemistry Kinetics PreProcessor
! (http://www.cs.vt.edu/~asandu/Software/KPP)
! KPP is distributed under GPL, the general public licence
! (http://www.gnu.org/copyleft/gpl.html)
! (C) 1995-1997, V. Damian & A. Sandu, CGRER, Univ. Iowa
! (C) 1997-2005, A. Sandu, Michigan Tech, Virginia Tech
! With important contributions from:
! M. Damian, Villanova University, USA
! R. Sander, Max-Planck Institute for Chemistry, Mainz, Germany
!
! File : cacm3_LinearAlgebra.f90
! Time : Thu Jan 23 11:51:16 2020
! Working directory : /home/dandanwe/boxmox/tmp_cacm3_4449_BOXMOX
! Equation file : cacm3.kpp
! Output root filename : cacm3
!
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
MODULE cacm3_LinearAlgebra
USE cacm3_Parameters
USE cacm3_JacobianSP
IMPLICIT NONE
CONTAINS
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
! SPARSE_UTIL - SPARSE utility functions
! Arguments :
!
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecomp( JVS, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Sparse LU factorization
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: IER
REAL(kind=dp) :: JVS(LU_NONZERO), W(NVAR), a
INTEGER :: k, kk, j, jj
a = 0. ! mz_rs_20050606
IER = 0
DO k=1,NVAR
! mz_rs_20050606: don't check if real value == 0
! IF ( JVS( LU_DIAG(k) ) .EQ. 0. ) THEN
IF ( ABS(JVS(LU_DIAG(k))) < TINY(a) ) THEN
IER = k
RETURN
END IF
DO kk = LU_CROW(k), LU_CROW(k+1)-1
W( LU_ICOL(kk) ) = JVS(kk)
END DO
DO kk = LU_CROW(k), LU_DIAG(k)-1
j = LU_ICOL(kk)
a = -W(j) / JVS( LU_DIAG(j) )
W(j) = -a
DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
W( LU_ICOL(jj) ) = W( LU_ICOL(jj) ) + a*JVS(jj)
END DO
END DO
DO kk = LU_CROW(k), LU_CROW(k+1)-1
JVS(kk) = W( LU_ICOL(kk) )
END DO
END DO
END SUBROUTINE KppDecomp
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecompCmplx( JVS, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Sparse LU factorization, complex
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: IER
DOUBLE COMPLEX :: JVS(LU_NONZERO), W(NVAR), a
REAL(kind=dp) :: b = 0.0
INTEGER :: k, kk, j, jj
IER = 0
DO k=1,NVAR
IF ( ABS(JVS(LU_DIAG(k))) < TINY(b) ) THEN
IER = k
RETURN
END IF
DO kk = LU_CROW(k), LU_CROW(k+1)-1
W( LU_ICOL(kk) ) = JVS(kk)
END DO
DO kk = LU_CROW(k), LU_DIAG(k)-1
j = LU_ICOL(kk)
a = -W(j) / JVS( LU_DIAG(j) )
W(j) = -a
DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
W( LU_ICOL(jj) ) = W( LU_ICOL(jj) ) + a*JVS(jj)
END DO
END DO
DO kk = LU_CROW(k), LU_CROW(k+1)-1
JVS(kk) = W( LU_ICOL(kk) )
END DO
END DO
END SUBROUTINE KppDecompCmplx
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecompCmplxR( JVSR, JVSI, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Sparse LU factorization, complex
! (Real and Imaginary parts are used instead of complex data type)
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: IER
REAL(kind=dp) :: JVSR(LU_NONZERO), JVSI(LU_NONZERO)
REAL(kind=dp) :: WR(NVAR), WI(NVAR), ar, ai, den
INTEGER :: k, kk, j, jj
IER = 0
ar = 0.0
DO k=1,NVAR
IF ( ( ABS(JVSR(LU_DIAG(k))) < TINY(ar) ) .AND. &
( ABS(JVSI(LU_DIAG(k))) < TINY(ar) ) ) THEN
IER = k
RETURN
END IF
DO kk = LU_CROW(k), LU_CROW(k+1)-1
WR( LU_ICOL(kk) ) = JVSR(kk)
WI( LU_ICOL(kk) ) = JVSI(kk)
END DO
DO kk = LU_CROW(k), LU_DIAG(k)-1
j = LU_ICOL(kk)
den = JVSR(LU_DIAG(j))**2 + JVSI(LU_DIAG(j))**2
ar = -(WR(j)*JVSR(LU_DIAG(j)) + WI(j)*JVSI(LU_DIAG(j)))/den
ai = -(WI(j)*JVSR(LU_DIAG(j)) - WR(j)*JVSI(LU_DIAG(j)))/den
WR(j) = -ar
WI(j) = -ai
DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
WR( LU_ICOL(jj) ) = WR( LU_ICOL(jj) ) + ar*JVSR(jj) - ai*JVSI(jj)
WI( LU_ICOL(jj) ) = WI( LU_ICOL(jj) ) + ar*JVSI(jj) + ai*JVSR(jj)
END DO
END DO
DO kk = LU_CROW(k), LU_CROW(k+1)-1
JVSR(kk) = WR( LU_ICOL(kk) )
JVSI(kk) = WI( LU_ICOL(kk) )
END DO
END DO
END SUBROUTINE KppDecompCmplxR
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveIndirect( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Sparse solve subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: i, j
REAL(kind=dp) :: JVS(LU_NONZERO), X(NVAR), sum
DO i=1,NVAR
DO j = LU_CROW(i), LU_DIAG(i)-1
X(i) = X(i) - JVS(j)*X(LU_ICOL(j));
END DO
END DO
DO i=NVAR,1,-1
sum = X(i);
DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
sum = sum - JVS(j)*X(LU_ICOL(j));
END DO
X(i) = sum/JVS(LU_DIAG(i));
END DO
END SUBROUTINE KppSolveIndirect
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRIndirect( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Complex sparse solve transpose subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: i, j
REAL(kind=dp) :: JVS(LU_NONZERO), X(NVAR)
DO i=1,NVAR
X(i) = X(i)/JVS(LU_DIAG(i))
! subtract all nonzero elements in row i of JVS from X
DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
END DO
END DO
DO i=NVAR, 1, -1
! subtract all nonzero elements in row i of JVS from X
DO j=LU_CROW(i),LU_DIAG(i)-1
X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
END DO
END DO
END SUBROUTINE KppSolveTRIndirect
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveCmplx( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Complex sparse solve subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: i, j
DOUBLE COMPLEX :: JVS(LU_NONZERO), X(NVAR), sum
DO i=1,NVAR
DO j = LU_CROW(i), LU_DIAG(i)-1
X(i) = X(i) - JVS(j)*X(LU_ICOL(j));
END DO
END DO
DO i=NVAR,1,-1
sum = X(i);
DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
sum = sum - JVS(j)*X(LU_ICOL(j));
END DO
X(i) = sum/JVS(LU_DIAG(i));
END DO
END SUBROUTINE KppSolveCmplx
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveCmplxR( JVSR, JVSI, XR, XI )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Complex sparse solve subroutine using indirect addressing
! (Real and Imaginary parts are used instead of complex data type)
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: i, j
REAL(kind=dp) :: JVSR(LU_NONZERO), JVSI(LU_NONZERO), XR(NVAR), XI(NVAR), sumr, sumi, den
DO i=1,NVAR
DO j = LU_CROW(i), LU_DIAG(i)-1
XR(i) = XR(i) - (JVSR(j)*XR(LU_ICOL(j)) - JVSI(j)*XI(LU_ICOL(j)))
XI(i) = XI(i) - (JVSR(j)*XI(LU_ICOL(j)) + JVSI(j)*XR(LU_ICOL(j)))
END DO
END DO
DO i=NVAR,1,-1
sumr = XR(i); sumi = XI(i)
DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
sumr = sumr - (JVSR(j)*XR(LU_ICOL(j)) - JVSI(j)*XI(LU_ICOL(j)))
sumi = sumi - (JVSR(j)*XI(LU_ICOL(j)) + JVSI(j)*XR(LU_ICOL(j)))
END DO
den = JVSR(LU_DIAG(i))**2 + JVSI(LU_DIAG(i))**2
XR(i) = (sumr*JVSR(LU_DIAG(i)) + sumi*JVSI(LU_DIAG(i)))/den
XI(i) = (sumi*JVSR(LU_DIAG(i)) - sumr*JVSI(LU_DIAG(i)))/den
END DO
END SUBROUTINE KppSolveCmplxR
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRCmplx( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Complex sparse solve transpose subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: i, j
DOUBLE COMPLEX :: JVS(LU_NONZERO), X(NVAR)
DO i=1,NVAR
X(i) = X(i)/JVS(LU_DIAG(i))
! subtract all nonzero elements in row i of JVS from X
DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
END DO
END DO
DO i=NVAR, 1, -1
! subtract all nonzero elements in row i of JVS from X
DO j=LU_CROW(i),LU_DIAG(i)-1
X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
END DO
END DO
END SUBROUTINE KppSolveTRCmplx
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRCmplxR( JVSR, JVSI, XR, XI )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! Complex sparse solve transpose subroutine using indirect addressing
! (Real and Imaginary parts are used instead of complex data type)
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
USE cacm3_Parameters
USE cacm3_JacobianSP
INTEGER :: i, j
REAL(kind=dp) :: JVSR(LU_NONZERO), JVSI(LU_NONZERO), XR(NVAR), XI(NVAR), den
DO i=1,NVAR
den = JVSR(LU_DIAG(i))**2 + JVSI(LU_DIAG(i))**2
XR(i) = (XR(i)*JVSR(LU_DIAG(i)) + XI(i)*JVSI(LU_DIAG(i)))/den
XI(i) = (XI(i)*JVSR(LU_DIAG(i)) - XR(i)*JVSI(LU_DIAG(i)))/den
! subtract all nonzero elements in row i of JVS from X
DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
XR(LU_ICOL(j)) = XR(LU_ICOL(j))-(JVSR(j)*XR(i) - JVSI(j)*XI(i))
XI(LU_ICOL(j)) = XI(LU_ICOL(j))-(JVSI(j)*XR(i) + JVSR(j)*XI(i))
END DO
END DO
DO i=NVAR, 1, -1
! subtract all nonzero elements in row i of JVS from X
DO j=LU_CROW(i),LU_DIAG(i)-1
XR(LU_ICOL(j)) = XR(LU_ICOL(j))-(JVSR(j)*XR(i) - JVSI(j)*XI(i))
XI(LU_ICOL(j)) = XI(LU_ICOL(j))-(JVSI(j)*XR(i) + JVSR(j)*XI(i))
END DO
END DO
END SUBROUTINE KppSolveTRCmplxR
!
! Next few commented subroutines perform sparse big linear algebra
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppDecompBig( JVS, IP, IER )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!! Sparse LU factorization
!! for the Runge Kutta (3n)x(3n) linear system
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
! USE cacm3_Parameters
! USE cacm3_JacobianSP
!
! INTEGER :: IP3(3), IER, IP(3,NVAR)
! REAL(kind=dp) :: JVS(3,3,LU_NONZERO), W(3,3,NVAR), a(3,3), E(3,3)
! INTEGER :: k, kk, j, jj
!
! a = 0.0d0
! IER = 0
! DO k=1,NVAR
! DO kk = LU_CROW(k), LU_CROW(k+1)-1
! W( 1:3,1:3,LU_ICOL(kk) ) = JVS(1:3,1:3,kk)
! END DO
! DO kk = LU_CROW(k), LU_DIAG(k)-1
! j = LU_ICOL(kk)
! E(1:3,1:3) = JVS( 1:3,1:3,LU_DIAG(j) )
! ! CALL DGETRF(3,3,E,3,IP3,IER)
! CALL FAC3(E,IP3,IER)
! IF ( IER /= 0 ) RETURN
! ! a = W(j) / JVS( LU_DIAG(j) )
! a(1:3,1:3) = W( 1:3,1:3,j )
! ! CALL DGETRS ('N',3,3,E,3,IP3,a,3,IER)
! CALL SOL3('N',E,IP3,a(1,1))
! CALL SOL3('N',E,IP3,a(1,2))
! CALL SOL3('N',E,IP3,a(1,3))
! W(1:3,1:3,j) = a(1:3,1:3)
! DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
! W( 1:3,1:3,LU_ICOL(jj) ) = W( 1:3,1:3,LU_ICOL(jj) ) &
! - MATMUL( a(1:3,1:3) , JVS(1:3,1:3,jj) )
! END DO
! END DO
! DO kk = LU_CROW(k), LU_CROW(k+1)-1
! JVS(1:3,1:3,kk) = W( 1:3,1:3,LU_ICOL(kk) )
! END DO
! END DO
!
! DO k=1,NVAR
! ! CALL WGEFA(JVS(1,1,LU_DIAG(k)),3,3,IP(1,k),IER)
! ! CALL DGETRF(3,3,JVS(1,1,LU_DIAG(k)),3,IP(1,k),IER)
! CALL FAC3(JVS(1,1,LU_DIAG(k)),IP(1,k),IER)
! IF ( IER /= 0 ) RETURN
! END DO
!
!END SUBROUTINE KppDecompBig
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppSolveBig( JVS, IP, X )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!! Sparse solve subroutine using indirect addressing
!! for the Runge Kutta (3n)x(3n) linear system
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
! USE cacm3_Parameters
! USE cacm3_JacobianSP
!
! INTEGER :: i, j, k, m, IP3(3), IP(3,NVAR), IER
! REAL(kind=dp) :: JVS(3,3,LU_NONZERO), X(3,NVAR), sum(3)
!
! DO i=1,NVAR
! DO j = LU_CROW(i), LU_DIAG(i)-1
! !X(1:3,i) = X(1:3,i) - MATMUL(JVS(1:3,1:3,j),X(1:3,LU_ICOL(j)));
! DO k=1,3
! DO m=1,3
! X(k,i) = X(k,i) - JVS(k,m,j)*X(m,LU_ICOL(j))
! END DO
! END DO
! END DO
! END DO
!
! DO i=NVAR,1,-1
! sum(1:3) = X(1:3,i);
! DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
! !sum(1:3) = sum(1:3) - MATMUL(JVS(1:3,1:3,j),X(1:3,LU_ICOL(j)));
! DO k=1,3
! DO m=1,3
! sum(k) = sum(k) - JVS(k,m,j)*X(m,LU_ICOL(j))
! END DO
! END DO
! END DO
! ! X(i) = sum/JVS(LU_DIAG(i));
! ! CALL DGETRS ('N',3,1,JVS(1:3,1:3,LU_DIAG(i)),3,IP(1,i),sum,3,0)
! ! CALL WGESL('N',JVS(1,1,LU_DIAG(i)),3,3,IP(1,i),sum)
! CALL SOL3('N',JVS(1,1,LU_DIAG(i)),IP(1,i),sum)
! X(1:3,i) = sum(1:3)
! END DO
!
!END SUBROUTINE KppSolveBig
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppSolveBigTR( JVS, IP, X )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!! Big sparse transpose solve using indirect addressing
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
! USE cacm3_Parameters
! USE cacm3_JacobianSP
!
! INTEGER :: i, j, k, m, IP(3,NVAR)
! REAL(kind=dp) :: JVS(3,3,LU_NONZERO), X(3,NVAR)
!
! DO i=1,NVAR
! ! X(i) = X(i)/JVS(LU_DIAG(i))
! CALL SOL3('T',JVS(1,1,LU_DIAG(i)),IP(1,i),X(1,i))
! DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
! !X(1:3,LU_ICOL(j)) = X(1:3,LU_ICOL(j)) &
! ! - MATMUL( TRANSPOSE(JVS(1:3,1:3,j)), X(1:3,i) )
! DO k=1,3
! DO m=1,3
! X(k,LU_ICOL(j)) = X(k,LU_ICOL(j)) - JVS(m,k,j)*X(m,i)
! END DO
! END DO
! END DO
! END DO
!
! DO i=NVAR, 1, -1
! DO j=LU_CROW(i),LU_DIAG(i)-1
! !X(1:3,LU_ICOL(j)) = X(1:3,LU_ICOL(j)) &
! ! - MATMUL( TRANSPOSE(JVS(1:3,1:3,j)), X(1:3,i) )
! DO k=1,3
! DO m=1,3
! X(k,LU_ICOL(j)) = X(k,LU_ICOL(j)) - JVS(m,k,j)*X(m,i)
! END DO
! END DO
! END DO
! END DO
!
!END SUBROUTINE KppSolveBigTR
!
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE FAC3(A,IPVT,INFO)
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!! FAC3 FACTORS THE MATRIX A (3,3) BY
!! GAUSS ELIMINATION WITH PARTIAL PIVOTING
!! LINPACK - LIKE
!!
!! Remove comments to perform pivoting
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!
! REAL(kind=dp) :: A(3,3)
! INTEGER :: IPVT(3),INFO
!! INTEGER :: L
!! REAL(kind=dp) :: t, dmax, da, TMP(3)
! REAL(kind=dp), PARAMETER :: ZERO = 0.0, ONE = 1.0
!
! info = 0
!! t = TINY(da)
!!
!! da = ABS(A(1,1)); L = 1
!! IF ( ABS(A(2,1))>da ) THEN
!! da = ABS(A(2,1)); L = 2
!! IF ( ABS(A(3,1))>da ) THEN
!! L = 3
!! END IF
!! END IF
!! IPVT(1) = L
!! IF (L /=1 ) THEN
!! TMP(1:3) = A(L,1:3)
!! A(L,1:3) = A(1,1:3)
!! A(1,1:3) = TMP(1:3)
!! END IF
!! IF (ABS(A(1,1)) < t) THEN
!! info = 1
!! return
!! END IF
!!
! A(2,1) = A(2,1)/A(1,1)
! A(2,2) = A(2,2) - A(2,1)*A(1,2)
! A(2,3) = A(2,3) - A(2,1)*A(1,3)
! A(3,1) = A(3,1)/A(1,1)
! A(3,2) = A(3,2) - A(3,1)*A(1,2)
! A(3,3) = A(3,3) - A(3,1)*A(1,3)
!
!! IPVT(2) = 2
!! IF (ABS(A(3,2))>ABS(A(2,2))) THEN
!! IPVT(2) = 3
!! TMP(2:3) = A(3,2:3)
!! A(3,2:3) = A(2,2:3)
!! A(2,2:3) = TMP(2:3)
!! END IF
!! IF (ABS(A(2,2)) < t) THEN
!! info = 1
!! return
!! END IF
!!
! A(3,2) = A(3,2)/A(2,2)
! A(3,3) = A(3,3) - A(3,2)*A(2,3)
! IPVT(3) = 3
!
!END SUBROUTINE FAC3
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE SOL3(Trans,A,IPVT,b)
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!! SOL3 solves the system 3x3
!! A * x = b or trans(a) * x = b
!! using the factors computed by WGEFA.
!!
!! Trans = 'N' to solve A*x = b ,
!! = 'T' to solve transpose(A)*x = b
!! LINPACK - LIKE
!!
!! Remove comments to use pivoting
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
! CHARACTER :: Trans
! REAL(kind=dp) :: a(3,3),b(3)
! INTEGER :: IPVT(3)
!! INTEGER :: L
!! REAL(kind=dp) :: TMP
!
! SELECT CASE (Trans)
!
! CASE ('n','N') ! Solve A * x = b
!
!! Solve L*y = b
!! L = IPVT(1)
!! IF (L /= 1) THEN
!! TMP = B(1); B(1) = B(L); B(L) = TMP
!! END IF
! b(2) = b(2)-A(2,1)*b(1)
! b(3) = b(3)-A(3,1)*b(1)
!
!! L = IPVT(2)
!! IF (L /= 2) THEN
!! TMP = B(2); B(2) = B(L); B(L) = TMP
!! END IF
! b(3) = b(3)-A(3,2)*b(2)
!
!! Solve U*x = y
! b(3) = b(3)/A(3,3)
! b(2) = (b(2)-A(2,3)*b(3))/A(2,2)
! b(1) = (b(1)-A(1,3)*b(3)-A(1,2)*b(2))/A(1,1)
!
!
! CASE ('t','T') ! Solve transpose(A) * x = b
!
!! Solve transpose(U)*y = b
! b(1) = b(1)/A(1,1)
! b(2) = (b(2)-A(1,2)*b(1))/A(2,2)
! b(3) = (b(3)-A(1,3)*b(1)-A(2,3)*b(2))/A(3,3)
!
!! Solve transpose(L)*x = y
! b(2) = b(2)-A(3,2)*b(3)
!! L = ipvt(2)
!! IF (L /= 2) THEN
!! TMP = B(2); B(2) = B(L); B(L) = TMP
!! END IF
! b(1) = b(1)-A(3,1)*b(3)-A(2,1)*b(2)
!! L = ipvt(1)
!! IF (L /= 1) THEN
!! TMP = B(1); B(1) = B(L); B(L) = TMP
!! END IF
!
! END SELECT
!
!END SUBROUTINE SOL3
! End of SPARSE_UTIL function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
! KppSolve - sparse back substitution
! Arguments :
! JVS - sparse Jacobian of variables
! X - Vector for variables
!
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolve ( JVS, X )
! JVS - sparse Jacobian of variables
REAL(kind=dp) :: JVS(LU_NONZERO)
! X - Vector for variables
REAL(kind=dp) :: X(NVAR)
X(157) = X(157)-JVS(794)*X(156)
X(159) = X(159)-JVS(801)*X(148)
X(163) = X(163)-JVS(815)*X(150)
X(196) = X(196)-JVS(949)*X(160)-JVS(950)*X(195)
X(209) = X(209)-JVS(1014)*X(148)-JVS(1015)*X(156)
X(213) = X(213)-JVS(1043)*X(179)
X(215) = X(215)-JVS(1055)*X(183)
X(216) = X(216)-JVS(1063)*X(181)
X(226) = X(226)-JVS(1119)*X(200)
X(227) = X(227)-JVS(1125)*X(201)
X(231) = X(231)-JVS(1146)*X(189)
X(237) = X(237)-JVS(1177)*X(136)
X(241) = X(241)-JVS(1201)*X(150)
X(243) = X(243)-JVS(1212)*X(187)
X(247) = X(247)-JVS(1244)*X(156)
X(260) = X(260)-JVS(1317)*X(141)
X(264) = X(264)-JVS(1342)*X(142)
X(269) = X(269)-JVS(1373)*X(143)
X(270) = X(270)-JVS(1382)*X(154)-JVS(1383)*X(196)-JVS(1384)*X(209)
X(273) = X(273)-JVS(1410)*X(140)
X(275) = X(275)-JVS(1422)*X(220)-JVS(1423)*X(224)
X(276) = X(276)-JVS(1440)*X(200)-JVS(1441)*X(201)
X(277) = X(277)-JVS(1449)*X(245)
X(279) = X(279)-JVS(1463)*X(278)
X(280) = X(280)-JVS(1474)*X(200)-JVS(1475)*X(201)
X(283) = X(283)-JVS(1496)*X(149)
X(287) = X(287)-JVS(1519)*X(209)
X(288) = X(288)-JVS(1526)*X(137)
X(291) = X(291)-JVS(1545)*X(198)
X(292) = X(292)-JVS(1553)*X(199)
X(307) = X(307)-JVS(1645)*X(197)
X(315) = X(315)-JVS(1694)*X(264)-JVS(1695)*X(305)
X(316) = X(316)-JVS(1703)*X(219)
X(317) = X(317)-JVS(1711)*X(189)-JVS(1712)*X(285)
X(318) = X(318)-JVS(1718)*X(228)-JVS(1719)*X(317)
X(320) = X(320)-JVS(1731)*X(135)
X(321) = X(321)-JVS(1741)*X(157)
X(323) = X(323)-JVS(1754)*X(159)
X(325) = X(325)-JVS(1766)*X(220)-JVS(1767)*X(221)-JVS(1768)*X(223)-JVS(1769)*X(276)-JVS(1770)*X(280)-JVS(1771)*X(285)&
&-JVS(1772)*X(299)-JVS(1773)*X(314)-JVS(1774)*X(319)-JVS(1775)*X(324)
X(327) = X(327)-JVS(1794)*X(276)-JVS(1795)*X(280)-JVS(1796)*X(298)-JVS(1797)*X(299)-JVS(1798)*X(314)-JVS(1799)*X(326)
X(328) = X(328)-JVS(1807)*X(258)-JVS(1808)*X(282)-JVS(1809)*X(284)-JVS(1810)*X(306)
X(329) = X(329)-JVS(1820)*X(319)
X(330) = X(330)-JVS(1826)*X(163)
X(331) = X(331)-JVS(1833)*X(139)
X(333) = X(333)-JVS(1845)*X(171)-JVS(1846)*X(210)
X(335) = X(335)-JVS(1862)*X(158)
X(336) = X(336)-JVS(1871)*X(144)
X(338) = X(338)-JVS(1888)*X(151)
X(339) = X(339)-JVS(1897)*X(147)
X(344) = X(344)-JVS(1929)*X(239)-JVS(1930)*X(261)-JVS(1931)*X(267)-JVS(1932)*X(271)-JVS(1933)*X(273)-JVS(1934)*X(284)&
&-JVS(1935)*X(286)-JVS(1936)*X(295)-JVS(1937)*X(297)-JVS(1938)*X(302)-JVS(1939)*X(303)-JVS(1940)*X(304)&
&-JVS(1941)*X(305)-JVS(1942)*X(306)-JVS(1943)*X(309)-JVS(1944)*X(311)-JVS(1945)*X(312)-JVS(1946)*X(315)&
&-JVS(1947)*X(322)-JVS(1948)*X(332)-JVS(1949)*X(334)-JVS(1950)*X(341)-JVS(1951)*X(342)-JVS(1952)*X(343)
X(346) = X(346)-JVS(1982)*X(276)-JVS(1983)*X(280)-JVS(1984)*X(294)-JVS(1985)*X(299)-JVS(1986)*X(314)-JVS(1987)*X(319)
X(347) = X(347)-JVS(1995)*X(195)-JVS(1996)*X(209)
X(348) = X(348)-JVS(2004)*X(236)-JVS(2005)*X(308)-JVS(2006)*X(340)
X(349) = X(349)-JVS(2014)*X(214)
X(350) = X(350)-JVS(2022)*X(315)
X(351) = X(351)-JVS(2030)*X(167)
X(352) = X(352)-JVS(2039)*X(145)-JVS(2040)*X(223)-JVS(2041)*X(314)-JVS(2042)*X(319)-JVS(2043)*X(326)
X(353) = X(353)-JVS(2052)*X(166)
X(354) = X(354)-JVS(2061)*X(178)-JVS(2062)*X(247)
X(355) = X(355)-JVS(2069)*X(182)-JVS(2070)*X(219)-JVS(2071)*X(354)
X(363) = X(363)-JVS(2117)*X(300)-JVS(2118)*X(331)-JVS(2119)*X(340)
X(364) = X(364)-JVS(2127)*X(221)-JVS(2128)*X(225)-JVS(2129)*X(314)-JVS(2130)*X(319)-JVS(2131)*X(329)-JVS(2132)*X(356)
X(365) = X(365)-JVS(2145)*X(279)-JVS(2146)*X(342)-JVS(2147)*X(359)
X(366) = X(366)-JVS(2157)*X(266)-JVS(2158)*X(267)-JVS(2159)*X(357)
X(369) = X(369)-JVS(2178)*X(237)-JVS(2179)*X(238)-JVS(2180)*X(240)-JVS(2181)*X(241)-JVS(2182)*X(242)-JVS(2183)*X(247)&
&-JVS(2184)*X(248)-JVS(2185)*X(249)-JVS(2186)*X(250)-JVS(2187)*X(251)-JVS(2188)*X(252)-JVS(2189)*X(258)&
&-JVS(2190)*X(262)-JVS(2191)*X(265)-JVS(2192)*X(266)-JVS(2193)*X(272)-JVS(2194)*X(273)-JVS(2195)*X(278)&
&-JVS(2196)*X(281)-JVS(2197)*X(282)-JVS(2198)*X(283)-JVS(2199)*X(284)-JVS(2200)*X(287)-JVS(2201)*X(288)&
&-JVS(2202)*X(289)-JVS(2203)*X(290)-JVS(2204)*X(291)-JVS(2205)*X(292)-JVS(2206)*X(293)-JVS(2207)*X(296)&
&-JVS(2208)*X(300)-JVS(2209)*X(301)-JVS(2210)*X(306)-JVS(2211)*X(309)-JVS(2212)*X(310)-JVS(2213)*X(313)&
&-JVS(2214)*X(316)-JVS(2215)*X(320)-JVS(2216)*X(321)-JVS(2217)*X(323)-JVS(2218)*X(330)-JVS(2219)*X(331)&
&-JVS(2220)*X(332)-JVS(2221)*X(334)-JVS(2222)*X(337)-JVS(2223)*X(342)-JVS(2224)*X(345)-JVS(2225)*X(347)&
&-JVS(2226)*X(349)-JVS(2227)*X(351)-JVS(2228)*X(353)-JVS(2229)*X(354)-JVS(2230)*X(355)-JVS(2231)*X(357)&
&-JVS(2232)*X(358)-JVS(2233)*X(359)-JVS(2234)*X(360)-JVS(2235)*X(367)-JVS(2236)*X(368)
X(370) = X(370)-JVS(2257)*X(203)-JVS(2258)*X(336)-JVS(2259)*X(358)-JVS(2260)*X(359)
X(371) = X(371)-JVS(2271)*X(246)-JVS(2272)*X(331)-JVS(2273)*X(339)-JVS(2274)*X(363)-JVS(2275)*X(367)
X(373) = X(373)-JVS(2292)*X(153)-JVS(2293)*X(172)-JVS(2294)*X(190)-JVS(2295)*X(202)-JVS(2296)*X(207)-JVS(2297)*X(208)&
&-JVS(2298)*X(220)-JVS(2299)*X(221)-JVS(2300)*X(233)-JVS(2301)*X(235)-JVS(2302)*X(244)-JVS(2303)*X(245)&
&-JVS(2304)*X(255)-JVS(2305)*X(257)-JVS(2306)*X(274)-JVS(2307)*X(277)-JVS(2308)*X(294)-JVS(2309)*X(298)&
&-JVS(2310)*X(299)-JVS(2311)*X(314)-JVS(2312)*X(317)-JVS(2313)*X(319)-JVS(2314)*X(324)-JVS(2315)*X(325)&
&-JVS(2316)*X(326)-JVS(2317)*X(327)-JVS(2318)*X(329)-JVS(2319)*X(337)-JVS(2320)*X(340)-JVS(2321)*X(345)&
&-JVS(2322)*X(346)-JVS(2323)*X(352)-JVS(2324)*X(356)-JVS(2325)*X(357)-JVS(2326)*X(358)-JVS(2327)*X(359)&
&-JVS(2328)*X(360)-JVS(2329)*X(361)-JVS(2330)*X(362)-JVS(2331)*X(364)-JVS(2332)*X(366)-JVS(2333)*X(367)&
&-JVS(2334)*X(368)-JVS(2335)*X(372)
X(374) = X(374)-JVS(2366)*X(271)-JVS(2367)*X(304)-JVS(2368)*X(360)
X(375) = X(375)-JVS(2377)*X(295)-JVS(2378)*X(358)
X(376) = X(376)-JVS(2387)*X(168)-JVS(2388)*X(343)-JVS(2389)*X(365)-JVS(2390)*X(372)
X(378) = X(378)-JVS(2405)*X(175)-JVS(2406)*X(194)-JVS(2407)*X(296)-JVS(2408)*X(309)-JVS(2409)*X(311)-JVS(2410)*X(368)
X(379) = X(379)-JVS(2419)*X(313)-JVS(2420)*X(334)-JVS(2421)*X(372)
X(380) = X(380)-JVS(2430)*X(288)-JVS(2431)*X(293)-JVS(2432)*X(302)-JVS(2433)*X(303)-JVS(2434)*X(331)-JVS(2435)*X(340)&
&-JVS(2436)*X(348)-JVS(2437)*X(363)-JVS(2438)*X(367)
X(381) = X(381)-JVS(2448)*X(285)-JVS(2449)*X(361)-JVS(2450)*X(377)
X(382) = X(382)-JVS(2461)*X(193)-JVS(2462)*X(260)-JVS(2463)*X(312)-JVS(2464)*X(332)-JVS(2465)*X(368)
X(383) = X(383)-JVS(2476)*X(152)-JVS(2477)*X(187)-JVS(2478)*X(192)-JVS(2479)*X(194)-JVS(2480)*X(197)-JVS(2481)*X(226)&
&-JVS(2482)*X(227)-JVS(2483)*X(228)-JVS(2484)*X(229)-JVS(2485)*X(230)-JVS(2486)*X(231)-JVS(2487)*X(232)&
&-JVS(2488)*X(236)-JVS(2489)*X(244)-JVS(2490)*X(259)-JVS(2491)*X(261)-JVS(2492)*X(268)-JVS(2493)*X(277)&
&-JVS(2494)*X(278)-JVS(2495)*X(282)-JVS(2496)*X(283)-JVS(2497)*X(285)-JVS(2498)*X(288)-JVS(2499)*X(293)&
&-JVS(2500)*X(295)-JVS(2501)*X(296)-JVS(2502)*X(299)-JVS(2503)*X(300)-JVS(2504)*X(305)-JVS(2505)*X(306)&
&-JVS(2506)*X(307)-JVS(2507)*X(308)-JVS(2508)*X(309)-JVS(2509)*X(312)-JVS(2510)*X(313)-JVS(2511)*X(314)&
&-JVS(2512)*X(317)-JVS(2513)*X(318)-JVS(2514)*X(319)-JVS(2515)*X(320)-JVS(2516)*X(324)-JVS(2517)*X(325)&
&-JVS(2518)*X(326)-JVS(2519)*X(329)-JVS(2520)*X(331)-JVS(2521)*X(333)-JVS(2522)*X(334)-JVS(2523)*X(337)&
&-JVS(2524)*X(340)-JVS(2525)*X(342)-JVS(2526)*X(343)-JVS(2527)*X(344)-JVS(2528)*X(345)-JVS(2529)*X(346)&
&-JVS(2530)*X(348)-JVS(2531)*X(350)-JVS(2532)*X(352)-JVS(2533)*X(356)-JVS(2534)*X(357)-JVS(2535)*X(358)&
&-JVS(2536)*X(359)-JVS(2537)*X(360)-JVS(2538)*X(361)-JVS(2539)*X(362)-JVS(2540)*X(363)-JVS(2541)*X(365)&
&-JVS(2542)*X(367)-JVS(2543)*X(368)-JVS(2544)*X(369)-JVS(2545)*X(370)-JVS(2546)*X(371)-JVS(2547)*X(372)&
&-JVS(2548)*X(375)-JVS(2549)*X(376)-JVS(2550)*X(377)-JVS(2551)*X(378)-JVS(2552)*X(379)-JVS(2553)*X(380)&
&-JVS(2554)*X(381)-JVS(2555)*X(382)
X(384) = X(384)-JVS(2580)*X(149)-JVS(2581)*X(237)-JVS(2582)*X(283)-JVS(2583)*X(300)-JVS(2584)*X(340)-JVS(2585)*X(345)&
&-JVS(2586)*X(367)-JVS(2587)*X(371)-JVS(2588)*X(380)
X(385) = X(385)-JVS(2599)*X(174)-JVS(2600)*X(265)-JVS(2601)*X(332)-JVS(2602)*X(341)-JVS(2603)*X(368)-JVS(2604)*X(382)
X(386) = X(386)-JVS(2614)*X(210)-JVS(2615)*X(285)-JVS(2616)*X(362)-JVS(2617)*X(377)
X(387) = X(387)-JVS(2628)*X(253)-JVS(2629)*X(329)-JVS(2630)*X(356)-JVS(2631)*X(364)-JVS(2632)*X(377)-JVS(2633)*X(386)
X(388) = X(388)-JVS(2646)*X(310)-JVS(2647)*X(353)-JVS(2648)*X(372)-JVS(2649)*X(379)
X(389) = X(389)-JVS(2659)*X(372)-JVS(2660)*X(379)-JVS(2661)*X(388)
X(390) = X(390)-JVS(2671)*X(301)-JVS(2672)*X(313)-JVS(2673)*X(334)-JVS(2674)*X(351)-JVS(2675)*X(372)-JVS(2676)*X(376)&
&-JVS(2677)*X(388)-JVS(2678)*X(389)
X(391) = X(391)-JVS(2688)*X(134)-JVS(2689)*X(345)-JVS(2690)*X(357)-JVS(2691)*X(358)-JVS(2692)*X(359)-JVS(2693)*X(360)&
&-JVS(2694)*X(367)-JVS(2695)*X(368)-JVS(2696)*X(372)-JVS(2697)*X(378)
X(392) = X(392)-JVS(2706)*X(146)-JVS(2707)*X(271)-JVS(2708)*X(286)-JVS(2709)*X(297)-JVS(2710)*X(302)-JVS(2711)*X(303)&
&-JVS(2712)*X(304)-JVS(2713)*X(311)-JVS(2714)*X(322)-JVS(2715)*X(335)-JVS(2716)*X(341)-JVS(2717)*X(350)&
&-JVS(2718)*X(357)-JVS(2719)*X(360)-JVS(2720)*X(363)-JVS(2721)*X(368)-JVS(2722)*X(378)-JVS(2723)*X(382)&
&-JVS(2724)*X(384)-JVS(2725)*X(385)-JVS(2726)*X(389)-JVS(2727)*X(390)-JVS(2728)*X(391)
X(393) = X(393)-JVS(2738)*X(135)-JVS(2739)*X(136)-JVS(2740)*X(137)-JVS(2741)*X(139)-JVS(2742)*X(140)-JVS(2743)*X(149)&
&-JVS(2744)*X(150)-JVS(2745)*X(151)-JVS(2746)*X(156)-JVS(2747)*X(157)-JVS(2748)*X(158)-JVS(2749)*X(159)&
&-JVS(2750)*X(163)-JVS(2751)*X(166)-JVS(2752)*X(167)-JVS(2753)*X(168)-JVS(2754)*X(182)-JVS(2755)*X(193)&
&-JVS(2756)*X(195)-JVS(2757)*X(198)-JVS(2758)*X(199)-JVS(2759)*X(203)-JVS(2760)*X(209)-JVS(2761)*X(214)&
&-JVS(2762)*X(219)-JVS(2763)*X(246)-JVS(2764)*X(260)-JVS(2765)*X(264)-JVS(2766)*X(271)-JVS(2767)*X(273)&
&-JVS(2768)*X(279)-JVS(2769)*X(286)-JVS(2770)*X(290)-JVS(2771)*X(291)-JVS(2772)*X(292)-JVS(2773)*X(297)&
&-JVS(2774)*X(300)-JVS(2775)*X(302)-JVS(2776)*X(303)-JVS(2777)*X(304)-JVS(2778)*X(305)-JVS(2779)*X(307)&
&-JVS(2780)*X(311)-JVS(2781)*X(312)-JVS(2782)*X(315)-JVS(2783)*X(321)-JVS(2784)*X(322)-JVS(2785)*X(323)&
&-JVS(2786)*X(330)-JVS(2787)*X(331)-JVS(2788)*X(332)-JVS(2789)*X(335)-JVS(2790)*X(336)-JVS(2791)*X(338)&
&-JVS(2792)*X(339)-JVS(2793)*X(340)-JVS(2794)*X(341)-JVS(2795)*X(342)-JVS(2796)*X(343)-JVS(2797)*X(345)&
&-JVS(2798)*X(347)-JVS(2799)*X(348)-JVS(2800)*X(349)-JVS(2801)*X(350)-JVS(2802)*X(351)-JVS(2803)*X(353)&
&-JVS(2804)*X(354)-JVS(2805)*X(355)-JVS(2806)*X(357)-JVS(2807)*X(358)-JVS(2808)*X(359)-JVS(2809)*X(360)&
&-JVS(2810)*X(363)-JVS(2811)*X(365)-JVS(2812)*X(366)-JVS(2813)*X(367)-JVS(2814)*X(368)-JVS(2815)*X(370)&
&-JVS(2816)*X(372)-JVS(2817)*X(374)-JVS(2818)*X(375)-JVS(2819)*X(376)-JVS(2820)*X(378)-JVS(2821)*X(379)&
&-JVS(2822)*X(380)-JVS(2823)*X(382)-JVS(2824)*X(384)-JVS(2825)*X(385)-JVS(2826)*X(388)-JVS(2827)*X(389)&
&-JVS(2828)*X(390)-JVS(2829)*X(391)-JVS(2830)*X(392)
X(394) = X(394)-JVS(2839)*X(202)-JVS(2840)*X(228)-JVS(2841)*X(364)-JVS(2842)*X(377)
X(395) = X(395)-JVS(2855)*X(263)-JVS(2856)*X(275)-JVS(2857)*X(299)-JVS(2858)*X(324)-JVS(2859)*X(326)-JVS(2860)*X(356)&
&-JVS(2861)*X(377)-JVS(2862)*X(381)
X(396) = X(396)-JVS(2875)*X(172)-JVS(2876)*X(190)-JVS(2877)*X(197)-JVS(2878)*X(235)-JVS(2879)*X(236)-JVS(2880)*X(245)&
&-JVS(2881)*X(248)-JVS(2882)*X(249)-JVS(2883)*X(250)-JVS(2884)*X(251)-JVS(2885)*X(252)-JVS(2886)*X(257)&
&-JVS(2887)*X(272)-JVS(2888)*X(274)-JVS(2889)*X(294)-JVS(2890)*X(298)-JVS(2891)*X(307)-JVS(2892)*X(308)&
&-JVS(2893)*X(317)-JVS(2894)*X(319)-JVS(2895)*X(321)-JVS(2896)*X(323)-JVS(2897)*X(324)-JVS(2898)*X(325)&
&-JVS(2899)*X(326)-JVS(2900)*X(329)-JVS(2901)*X(330)-JVS(2902)*X(340)-JVS(2903)*X(346)-JVS(2904)*X(347)&
&-JVS(2905)*X(348)-JVS(2906)*X(349)-JVS(2907)*X(354)-JVS(2908)*X(355)-JVS(2909)*X(356)-JVS(2910)*X(361)&
&-JVS(2911)*X(362)-JVS(2912)*X(377)-JVS(2913)*X(381)-JVS(2914)*X(386)-JVS(2915)*X(387)-JVS(2916)*X(393)&
&-JVS(2917)*X(395)
X(397) = X(397)-JVS(2930)*X(132)-JVS(2931)*X(138)-JVS(2932)*X(141)-JVS(2933)*X(142)-JVS(2934)*X(143)-JVS(2935)*X(144)&
&-JVS(2936)*X(146)-JVS(2937)*X(147)-JVS(2938)*X(151)-JVS(2939)*X(154)-JVS(2940)*X(155)-JVS(2941)*X(157)&
&-JVS(2942)*X(158)-JVS(2943)*X(159)-JVS(2944)*X(160)-JVS(2945)*X(163)-JVS(2946)*X(165)-JVS(2947)*X(166)&
&-JVS(2948)*X(167)-JVS(2949)*X(168)-JVS(2950)*X(169)-JVS(2951)*X(170)-JVS(2952)*X(172)-JVS(2953)*X(173)&
&-JVS(2954)*X(174)-JVS(2955)*X(175)-JVS(2956)*X(176)-JVS(2957)*X(177)-JVS(2958)*X(178)-JVS(2959)*X(179)&
&-JVS(2960)*X(181)-JVS(2961)*X(182)-JVS(2962)*X(183)-JVS(2963)*X(188)-JVS(2964)*X(191)-JVS(2965)*X(193)&
&-JVS(2966)*X(194)-JVS(2967)*X(195)-JVS(2968)*X(196)-JVS(2969)*X(200)-JVS(2970)*X(201)-JVS(2971)*X(202)&
&-JVS(2972)*X(209)-JVS(2973)*X(214)-JVS(2974)*X(219)-JVS(2975)*X(222)-JVS(2976)*X(224)-JVS(2977)*X(225)&
&-JVS(2978)*X(226)-JVS(2979)*X(227)-JVS(2980)*X(228)-JVS(2981)*X(229)-JVS(2982)*X(230)-JVS(2983)*X(231)&
&-JVS(2984)*X(232)-JVS(2985)*X(233)-JVS(2986)*X(234)-JVS(2987)*X(237)-JVS(2988)*X(238)-JVS(2989)*X(239)&
&-JVS(2990)*X(240)-JVS(2991)*X(241)-JVS(2992)*X(242)-JVS(2993)*X(244)-JVS(2994)*X(247)-JVS(2995)*X(248)&
&-JVS(2996)*X(249)-JVS(2997)*X(250)-JVS(2998)*X(251)-JVS(2999)*X(252)-JVS(3000)*X(253)-JVS(3001)*X(254)&
&-JVS(3002)*X(255)-JVS(3003)*X(256)-JVS(3004)*X(258)-JVS(3005)*X(259)-JVS(3006)*X(260)-JVS(3007)*X(261)&
&-JVS(3008)*X(262)-JVS(3009)*X(263)-JVS(3010)*X(264)-JVS(3011)*X(265)-JVS(3012)*X(266)-JVS(3013)*X(267)&
&-JVS(3014)*X(268)-JVS(3015)*X(269)-JVS(3016)*X(271)-JVS(3017)*X(272)-JVS(3018)*X(273)-JVS(3019)*X(274)&
&-JVS(3020)*X(278)-JVS(3021)*X(281)-JVS(3022)*X(282)-JVS(3023)*X(283)-JVS(3024)*X(284)-JVS(3025)*X(285)&
&-JVS(3026)*X(286)-JVS(3027)*X(287)-JVS(3028)*X(288)-JVS(3029)*X(289)-JVS(3030)*X(290)-JVS(3031)*X(291)&
&-JVS(3032)*X(292)-JVS(3033)*X(293)-JVS(3034)*X(295)-JVS(3035)*X(296)-JVS(3036)*X(297)-JVS(3037)*X(299)&
&-JVS(3038)*X(300)-JVS(3039)*X(301)-JVS(3040)*X(302)-JVS(3041)*X(303)-JVS(3042)*X(304)-JVS(3043)*X(305)&
&-JVS(3044)*X(306)-JVS(3045)*X(307)-JVS(3046)*X(308)-JVS(3047)*X(309)-JVS(3048)*X(310)-JVS(3049)*X(311)&
&-JVS(3050)*X(312)-JVS(3051)*X(313)-JVS(3052)*X(314)-JVS(3053)*X(315)-JVS(3054)*X(316)-JVS(3055)*X(317)&
&-JVS(3056)*X(318)-JVS(3057)*X(319)-JVS(3058)*X(320)-JVS(3059)*X(321)-JVS(3060)*X(322)-JVS(3061)*X(323)&
&-JVS(3062)*X(324)-JVS(3063)*X(326)-JVS(3064)*X(327)-JVS(3065)*X(328)-JVS(3066)*X(329)-JVS(3067)*X(330)&
&-JVS(3068)*X(331)-JVS(3069)*X(332)-JVS(3070)*X(333)-JVS(3071)*X(334)-JVS(3072)*X(335)-JVS(3073)*X(336)&
&-JVS(3074)*X(337)-JVS(3075)*X(338)-JVS(3076)*X(339)-JVS(3077)*X(340)-JVS(3078)*X(341)-JVS(3079)*X(342)&
&-JVS(3080)*X(343)-JVS(3081)*X(345)-JVS(3082)*X(346)-JVS(3083)*X(347)-JVS(3084)*X(348)-JVS(3085)*X(349)&
&-JVS(3086)*X(350)-JVS(3087)*X(351)-JVS(3088)*X(352)-JVS(3089)*X(353)-JVS(3090)*X(354)-JVS(3091)*X(355)&
&-JVS(3092)*X(356)-JVS(3093)*X(357)-JVS(3094)*X(358)-JVS(3095)*X(359)-JVS(3096)*X(360)-JVS(3097)*X(361)&
&-JVS(3098)*X(362)-JVS(3099)*X(363)-JVS(3100)*X(365)-JVS(3101)*X(366)-JVS(3102)*X(367)-JVS(3103)*X(368)&
&-JVS(3104)*X(370)-JVS(3105)*X(371)-JVS(3106)*X(372)-JVS(3107)*X(374)-JVS(3108)*X(375)-JVS(3109)*X(376)&
&-JVS(3110)*X(377)-JVS(3111)*X(378)-JVS(3112)*X(379)-JVS(3113)*X(380)-JVS(3114)*X(381)-JVS(3115)*X(382)&
&-JVS(3116)*X(384)-JVS(3117)*X(385)-JVS(3118)*X(386)-JVS(3119)*X(387)-JVS(3120)*X(388)-JVS(3121)*X(389)&
&-JVS(3122)*X(390)-JVS(3123)*X(391)-JVS(3124)*X(392)-JVS(3125)*X(393)-JVS(3126)*X(394)-JVS(3127)*X(395)&
&-JVS(3128)*X(396)
X(398) = X(398)-JVS(3140)*X(314)-JVS(3141)*X(319)-JVS(3142)*X(356)-JVS(3143)*X(377)
X(399) = X(399)-JVS(3153)*X(299)-JVS(3154)*X(326)-JVS(3155)*X(338)-JVS(3156)*X(356)-JVS(3157)*X(374)-JVS(3158)*X(377)&
&-JVS(3159)*X(391)-JVS(3160)*X(393)-JVS(3161)*X(396)-JVS(3162)*X(397)-JVS(3163)*X(398)
X(400) = X(400)-JVS(3173)*X(154)-JVS(3174)*X(196)-JVS(3175)*X(198)-JVS(3176)*X(199)-JVS(3177)*X(202)-JVS(3178)*X(209)&
&-JVS(3179)*X(270)-JVS(3180)*X(300)-JVS(3181)*X(340)-JVS(3182)*X(345)-JVS(3183)*X(354)-JVS(3184)*X(356)&
&-JVS(3185)*X(357)-JVS(3186)*X(358)-JVS(3187)*X(359)-JVS(3188)*X(360)-JVS(3189)*X(366)-JVS(3190)*X(367)&
&-JVS(3191)*X(368)-JVS(3192)*X(372)-JVS(3193)*X(374)-JVS(3194)*X(375)-JVS(3195)*X(378)-JVS(3196)*X(379)&
&-JVS(3197)*X(380)-JVS(3198)*X(383)-JVS(3199)*X(384)-JVS(3200)*X(385)-JVS(3201)*X(386)-JVS(3202)*X(387)&
&-JVS(3203)*X(388)-JVS(3204)*X(389)-JVS(3205)*X(390)-JVS(3206)*X(391)-JVS(3207)*X(392)-JVS(3208)*X(393)&
&-JVS(3209)*X(394)-JVS(3210)*X(395)-JVS(3211)*X(396)-JVS(3212)*X(397)-JVS(3213)*X(398)-JVS(3214)*X(399)
X(401) = X(401)-JVS(3223)*X(161)-JVS(3224)*X(162)-JVS(3225)*X(164)-JVS(3226)*X(180)-JVS(3227)*X(184)-JVS(3228)*X(185)&
&-JVS(3229)*X(186)-JVS(3230)*X(187)-JVS(3231)*X(198)-JVS(3232)*X(199)-JVS(3233)*X(204)-JVS(3234)*X(205)&
&-JVS(3235)*X(206)-JVS(3236)*X(211)-JVS(3237)*X(213)-JVS(3238)*X(214)-JVS(3239)*X(215)-JVS(3240)*X(216)&
&-JVS(3241)*X(217)-JVS(3242)*X(218)-JVS(3243)*X(254)-JVS(3244)*X(256)-JVS(3245)*X(269)-JVS(3246)*X(272)&
&-JVS(3247)*X(287)-JVS(3248)*X(289)-JVS(3249)*X(300)-JVS(3250)*X(316)-JVS(3251)*X(321)-JVS(3252)*X(322)&
&-JVS(3253)*X(323)-JVS(3254)*X(328)-JVS(3255)*X(330)-JVS(3256)*X(335)-JVS(3257)*X(336)-JVS(3258)*X(338)&
&-JVS(3259)*X(339)-JVS(3260)*X(340)-JVS(3261)*X(343)-JVS(3262)*X(345)-JVS(3263)*X(347)-JVS(3264)*X(349)&
&-JVS(3265)*X(350)-JVS(3266)*X(351)-JVS(3267)*X(353)-JVS(3268)*X(354)-JVS(3269)*X(355)-JVS(3270)*X(356)&
&-JVS(3271)*X(357)-JVS(3272)*X(358)-JVS(3273)*X(359)-JVS(3274)*X(360)-JVS(3275)*X(366)-JVS(3276)*X(367)&
&-JVS(3277)*X(368)-JVS(3278)*X(372)-JVS(3279)*X(374)-JVS(3280)*X(375)-JVS(3281)*X(376)-JVS(3282)*X(378)&
&-JVS(3283)*X(379)-JVS(3284)*X(380)-JVS(3285)*X(385)-JVS(3286)*X(388)-JVS(3287)*X(389)-JVS(3288)*X(390)&
&-JVS(3289)*X(391)-JVS(3290)*X(392)-JVS(3291)*X(393)-JVS(3292)*X(394)-JVS(3293)*X(396)-JVS(3294)*X(397)&
&-JVS(3295)*X(398)-JVS(3296)*X(399)-JVS(3297)*X(400)
X(402) = X(402)-JVS(3305)*X(191)-JVS(3306)*X(222)-JVS(3307)*X(224)-JVS(3308)*X(225)-JVS(3309)*X(226)-JVS(3310)*X(227)&
&-JVS(3311)*X(229)-JVS(3312)*X(230)-JVS(3313)*X(231)-JVS(3314)*X(232)-JVS(3315)*X(233)-JVS(3316)*X(234)&
&-JVS(3317)*X(237)-JVS(3318)*X(238)-JVS(3319)*X(239)-JVS(3320)*X(240)-JVS(3321)*X(241)-JVS(3322)*X(242)&
&-JVS(3323)*X(244)-JVS(3324)*X(247)-JVS(3325)*X(248)-JVS(3326)*X(249)-JVS(3327)*X(250)-JVS(3328)*X(251)&
&-JVS(3329)*X(252)-JVS(3330)*X(253)-JVS(3331)*X(254)-JVS(3332)*X(255)-JVS(3333)*X(256)-JVS(3334)*X(258)&
&-JVS(3335)*X(259)-JVS(3336)*X(260)-JVS(3337)*X(261)-JVS(3338)*X(262)-JVS(3339)*X(263)-JVS(3340)*X(264)&
&-JVS(3341)*X(265)-JVS(3342)*X(266)-JVS(3343)*X(267)-JVS(3344)*X(268)-JVS(3345)*X(269)-JVS(3346)*X(271)&
&-JVS(3347)*X(272)-JVS(3348)*X(273)-JVS(3349)*X(274)-JVS(3350)*X(278)-JVS(3351)*X(281)-JVS(3352)*X(282)&
&-JVS(3353)*X(283)-JVS(3354)*X(284)-JVS(3355)*X(285)-JVS(3356)*X(286)-JVS(3357)*X(287)-JVS(3358)*X(288)&
&-JVS(3359)*X(289)-JVS(3360)*X(290)-JVS(3361)*X(291)-JVS(3362)*X(292)-JVS(3363)*X(293)-JVS(3364)*X(295)&
&-JVS(3365)*X(296)-JVS(3366)*X(297)-JVS(3367)*X(299)-JVS(3368)*X(300)-JVS(3369)*X(301)-JVS(3370)*X(302)&
&-JVS(3371)*X(303)-JVS(3372)*X(304)-JVS(3373)*X(305)-JVS(3374)*X(306)-JVS(3375)*X(307)-JVS(3376)*X(308)&
&-JVS(3377)*X(309)-JVS(3378)*X(310)-JVS(3379)*X(311)-JVS(3380)*X(312)-JVS(3381)*X(313)-JVS(3382)*X(314)&
&-JVS(3383)*X(315)-JVS(3384)*X(316)-JVS(3385)*X(317)-JVS(3386)*X(318)-JVS(3387)*X(319)-JVS(3388)*X(320)&
&-JVS(3389)*X(321)-JVS(3390)*X(322)-JVS(3391)*X(323)-JVS(3392)*X(324)-JVS(3393)*X(326)-JVS(3394)*X(327)&
&-JVS(3395)*X(328)-JVS(3396)*X(329)-JVS(3397)*X(330)-JVS(3398)*X(331)-JVS(3399)*X(332)-JVS(3400)*X(333)&
&-JVS(3401)*X(334)-JVS(3402)*X(335)-JVS(3403)*X(336)-JVS(3404)*X(337)-JVS(3405)*X(338)-JVS(3406)*X(339)&
&-JVS(3407)*X(340)-JVS(3408)*X(341)-JVS(3409)*X(342)-JVS(3410)*X(343)-JVS(3411)*X(345)-JVS(3412)*X(346)&
&-JVS(3413)*X(347)-JVS(3414)*X(348)-JVS(3415)*X(349)-JVS(3416)*X(350)-JVS(3417)*X(351)-JVS(3418)*X(352)&
&-JVS(3419)*X(353)-JVS(3420)*X(354)-JVS(3421)*X(355)-JVS(3422)*X(356)-JVS(3423)*X(357)-JVS(3424)*X(358)&
&-JVS(3425)*X(359)-JVS(3426)*X(360)-JVS(3427)*X(361)-JVS(3428)*X(362)-JVS(3429)*X(363)-JVS(3430)*X(365)&
&-JVS(3431)*X(366)-JVS(3432)*X(367)-JVS(3433)*X(368)-JVS(3434)*X(370)-JVS(3435)*X(371)-JVS(3436)*X(372)&
&-JVS(3437)*X(374)-JVS(3438)*X(375)-JVS(3439)*X(376)-JVS(3440)*X(377)-JVS(3441)*X(378)-JVS(3442)*X(379)&
&-JVS(3443)*X(380)-JVS(3444)*X(381)-JVS(3445)*X(382)-JVS(3446)*X(384)-JVS(3447)*X(385)-JVS(3448)*X(386)&
&-JVS(3449)*X(387)-JVS(3450)*X(388)-JVS(3451)*X(389)-JVS(3452)*X(390)-JVS(3453)*X(391)-JVS(3454)*X(392)&
&-JVS(3455)*X(393)-JVS(3456)*X(394)-JVS(3457)*X(395)-JVS(3458)*X(396)-JVS(3459)*X(397)-JVS(3460)*X(398)&
&-JVS(3461)*X(399)-JVS(3462)*X(400)-JVS(3463)*X(401)
X(403) = X(403)-JVS(3470)*X(153)-JVS(3471)*X(190)-JVS(3472)*X(207)-JVS(3473)*X(208)-JVS(3474)*X(234)-JVS(3475)*X(235)&
&-JVS(3476)*X(245)-JVS(3477)*X(257)-JVS(3478)*X(277)-JVS(3479)*X(317)-JVS(3480)*X(318)-JVS(3481)*X(324)&
&-JVS(3482)*X(326)-JVS(3483)*X(327)-JVS(3484)*X(329)-JVS(3485)*X(346)-JVS(3486)*X(352)-JVS(3487)*X(356)&
&-JVS(3488)*X(361)-JVS(3489)*X(362)-JVS(3490)*X(377)-JVS(3491)*X(381)-JVS(3492)*X(386)-JVS(3493)*X(394)&
&-JVS(3494)*X(395)-JVS(3495)*X(397)-JVS(3496)*X(398)-JVS(3497)*X(399)-JVS(3498)*X(400)-JVS(3499)*X(401)&
&-JVS(3500)*X(402)
X(404) = X(404)-JVS(3506)*X(133)-JVS(3507)*X(134)-JVS(3508)*X(135)-JVS(3509)*X(136)-JVS(3510)*X(137)-JVS(3511)*X(139)&
&-JVS(3512)*X(140)-JVS(3513)*X(145)-JVS(3514)*X(148)-JVS(3515)*X(149)-JVS(3516)*X(150)-JVS(3517)*X(152)&
&-JVS(3518)*X(155)-JVS(3519)*X(156)-JVS(3520)*X(161)-JVS(3521)*X(162)-JVS(3522)*X(164)-JVS(3523)*X(165)&
&-JVS(3524)*X(169)-JVS(3525)*X(170)-JVS(3526)*X(171)-JVS(3527)*X(173)-JVS(3528)*X(176)-JVS(3529)*X(177)&
&-JVS(3530)*X(178)-JVS(3531)*X(179)-JVS(3532)*X(180)-JVS(3533)*X(181)-JVS(3534)*X(183)-JVS(3535)*X(184)&
&-JVS(3536)*X(185)-JVS(3537)*X(186)-JVS(3538)*X(187)-JVS(3539)*X(188)-JVS(3540)*X(189)-JVS(3541)*X(191)&
&-JVS(3542)*X(192)-JVS(3543)*X(197)-JVS(3544)*X(198)-JVS(3545)*X(199)-JVS(3546)*X(200)-JVS(3547)*X(201)&
&-JVS(3548)*X(202)-JVS(3549)*X(203)-JVS(3550)*X(204)-JVS(3551)*X(205)-JVS(3552)*X(206)-JVS(3553)*X(207)&
&-JVS(3554)*X(208)-JVS(3555)*X(209)-JVS(3556)*X(211)-JVS(3557)*X(212)-JVS(3558)*X(213)-JVS(3559)*X(214)&
&-JVS(3560)*X(215)-JVS(3561)*X(216)-JVS(3562)*X(217)-JVS(3563)*X(218)-JVS(3564)*X(219)-JVS(3565)*X(220)&
&-JVS(3566)*X(221)-JVS(3567)*X(222)-JVS(3568)*X(223)-JVS(3569)*X(224)-JVS(3570)*X(225)-JVS(3571)*X(226)&
&-JVS(3572)*X(227)-JVS(3573)*X(228)-JVS(3574)*X(229)-JVS(3575)*X(230)-JVS(3576)*X(231)-JVS(3577)*X(232)&
&-JVS(3578)*X(233)-JVS(3579)*X(234)-JVS(3580)*X(235)-JVS(3581)*X(236)-JVS(3582)*X(241)-JVS(3583)*X(242)&
&-JVS(3584)*X(243)-JVS(3585)*X(244)-JVS(3586)*X(245)-JVS(3587)*X(246)-JVS(3588)*X(247)-JVS(3589)*X(248)&
&-JVS(3590)*X(249)-JVS(3591)*X(250)-JVS(3592)*X(251)-JVS(3593)*X(252)-JVS(3594)*X(253)-JVS(3595)*X(254)&
&-JVS(3596)*X(255)-JVS(3597)*X(256)-JVS(3598)*X(257)-JVS(3599)*X(259)-JVS(3600)*X(262)-JVS(3601)*X(263)&
&-JVS(3602)*X(268)-JVS(3603)*X(270)-JVS(3604)*X(272)-JVS(3605)*X(273)-JVS(3606)*X(274)-JVS(3607)*X(275)&
&-JVS(3608)*X(276)-JVS(3609)*X(277)-JVS(3610)*X(279)-JVS(3611)*X(280)-JVS(3612)*X(281)-JVS(3613)*X(285)&
&-JVS(3614)*X(287)-JVS(3615)*X(289)-JVS(3616)*X(290)-JVS(3617)*X(294)-JVS(3618)*X(298)-JVS(3619)*X(299)&
&-JVS(3620)*X(300)-JVS(3621)*X(307)-JVS(3622)*X(308)-JVS(3623)*X(314)-JVS(3624)*X(316)-JVS(3625)*X(317)&
&-JVS(3626)*X(318)-JVS(3627)*X(319)-JVS(3628)*X(321)-JVS(3629)*X(322)-JVS(3630)*X(323)-JVS(3631)*X(324)&
&-JVS(3632)*X(326)-JVS(3633)*X(327)-JVS(3634)*X(328)-JVS(3635)*X(329)-JVS(3636)*X(330)-JVS(3637)*X(331)&
&-JVS(3638)*X(333)-JVS(3639)*X(340)-JVS(3640)*X(342)-JVS(3641)*X(343)-JVS(3642)*X(344)-JVS(3643)*X(345)&
&-JVS(3644)*X(346)-JVS(3645)*X(347)-JVS(3646)*X(348)-JVS(3647)*X(349)-JVS(3648)*X(350)-JVS(3649)*X(352)&
&-JVS(3650)*X(354)-JVS(3651)*X(355)-JVS(3652)*X(356)-JVS(3653)*X(357)-JVS(3654)*X(358)-JVS(3655)*X(359)&
&-JVS(3656)*X(360)-JVS(3657)*X(361)-JVS(3658)*X(362)-JVS(3659)*X(363)-JVS(3660)*X(364)-JVS(3661)*X(365)&
&-JVS(3662)*X(366)-JVS(3663)*X(367)-JVS(3664)*X(368)-JVS(3665)*X(369)-JVS(3666)*X(370)-JVS(3667)*X(371)&
&-JVS(3668)*X(372)-JVS(3669)*X(373)-JVS(3670)*X(374)-JVS(3671)*X(375)-JVS(3672)*X(376)-JVS(3673)*X(377)&
&-JVS(3674)*X(378)-JVS(3675)*X(379)-JVS(3676)*X(380)-JVS(3677)*X(381)-JVS(3678)*X(382)-JVS(3679)*X(383)&
&-JVS(3680)*X(384)-JVS(3681)*X(385)-JVS(3682)*X(386)-JVS(3683)*X(387)-JVS(3684)*X(388)-JVS(3685)*X(389)&
&-JVS(3686)*X(390)-JVS(3687)*X(391)-JVS(3688)*X(392)-JVS(3689)*X(393)-JVS(3690)*X(394)-JVS(3691)*X(395)&
&-JVS(3692)*X(396)-JVS(3693)*X(397)-JVS(3694)*X(398)-JVS(3695)*X(399)-JVS(3696)*X(400)-JVS(3697)*X(401)&
&-JVS(3698)*X(402)-JVS(3699)*X(403)
X(405) = X(405)-JVS(3704)*X(285)-JVS(3705)*X(356)-JVS(3706)*X(377)-JVS(3707)*X(398)-JVS(3708)*X(399)-JVS(3709)*X(400)&
&-JVS(3710)*X(401)-JVS(3711)*X(402)-JVS(3712)*X(403)-JVS(3713)*X(404)
X(406) = X(406)-JVS(3717)*X(189)-JVS(3718)*X(356)-JVS(3719)*X(377)-JVS(3720)*X(398)-JVS(3721)*X(399)-JVS(3722)*X(400)&
&-JVS(3723)*X(401)-JVS(3724)*X(402)-JVS(3725)*X(403)-JVS(3726)*X(404)-JVS(3727)*X(405)
X(407) = X(407)-JVS(3730)*X(133)-JVS(3731)*X(148)-JVS(3732)*X(149)-JVS(3733)*X(150)-JVS(3734)*X(152)-JVS(3735)*X(153)&
&-JVS(3736)*X(156)-JVS(3737)*X(161)-JVS(3738)*X(162)-JVS(3739)*X(164)-JVS(3740)*X(172)-JVS(3741)*X(176)&
&-JVS(3742)*X(177)-JVS(3743)*X(180)-JVS(3744)*X(184)-JVS(3745)*X(185)-JVS(3746)*X(186)-JVS(3747)*X(187)&
&-JVS(3748)*X(188)-JVS(3749)*X(190)-JVS(3750)*X(191)-JVS(3751)*X(192)-JVS(3752)*X(197)-JVS(3753)*X(204)&
&-JVS(3754)*X(205)-JVS(3755)*X(206)-JVS(3756)*X(207)-JVS(3757)*X(208)-JVS(3758)*X(209)-JVS(3759)*X(210)&
&-JVS(3760)*X(211)-JVS(3761)*X(212)-JVS(3762)*X(213)-JVS(3763)*X(214)-JVS(3764)*X(215)-JVS(3765)*X(216)&
&-JVS(3766)*X(217)-JVS(3767)*X(218)-JVS(3768)*X(219)-JVS(3769)*X(220)-JVS(3770)*X(221)-JVS(3771)*X(222)&
&-JVS(3772)*X(223)-JVS(3773)*X(224)-JVS(3774)*X(225)-JVS(3775)*X(226)-JVS(3776)*X(227)-JVS(3777)*X(229)&
&-JVS(3778)*X(230)-JVS(3779)*X(231)-JVS(3780)*X(232)-JVS(3781)*X(233)-JVS(3782)*X(234)-JVS(3783)*X(235)&
&-JVS(3784)*X(236)-JVS(3785)*X(237)-JVS(3786)*X(238)-JVS(3787)*X(239)-JVS(3788)*X(240)-JVS(3789)*X(241)&
&-JVS(3790)*X(242)-JVS(3791)*X(243)-JVS(3792)*X(244)-JVS(3793)*X(245)-JVS(3794)*X(247)-JVS(3795)*X(248)&
&-JVS(3796)*X(249)-JVS(3797)*X(250)-JVS(3798)*X(251)-JVS(3799)*X(252)-JVS(3800)*X(253)-JVS(3801)*X(254)&
&-JVS(3802)*X(255)-JVS(3803)*X(256)-JVS(3804)*X(257)-JVS(3805)*X(258)-JVS(3806)*X(259)-JVS(3807)*X(260)&
&-JVS(3808)*X(261)-JVS(3809)*X(262)-JVS(3810)*X(263)-JVS(3811)*X(264)-JVS(3812)*X(265)-JVS(3813)*X(266)&
&-JVS(3814)*X(267)-JVS(3815)*X(268)-JVS(3816)*X(269)-JVS(3817)*X(271)-JVS(3818)*X(272)-JVS(3819)*X(273)&
&-JVS(3820)*X(274)-JVS(3821)*X(276)-JVS(3822)*X(277)-JVS(3823)*X(278)-JVS(3824)*X(280)-JVS(3825)*X(281)&
&-JVS(3826)*X(282)-JVS(3827)*X(283)-JVS(3828)*X(284)-JVS(3829)*X(285)-JVS(3830)*X(286)-JVS(3831)*X(287)&
&-JVS(3832)*X(288)-JVS(3833)*X(289)-JVS(3834)*X(290)-JVS(3835)*X(291)-JVS(3836)*X(292)-JVS(3837)*X(293)&
&-JVS(3838)*X(294)-JVS(3839)*X(295)-JVS(3840)*X(296)-JVS(3841)*X(297)-JVS(3842)*X(298)-JVS(3843)*X(299)&
&-JVS(3844)*X(300)-JVS(3845)*X(301)-JVS(3846)*X(302)-JVS(3847)*X(303)-JVS(3848)*X(304)-JVS(3849)*X(305)&
&-JVS(3850)*X(306)-JVS(3851)*X(307)-JVS(3852)*X(308)-JVS(3853)*X(309)-JVS(3854)*X(310)-JVS(3855)*X(311)&
&-JVS(3856)*X(312)-JVS(3857)*X(313)-JVS(3858)*X(314)-JVS(3859)*X(315)-JVS(3860)*X(316)-JVS(3861)*X(317)&
&-JVS(3862)*X(318)-JVS(3863)*X(319)-JVS(3864)*X(320)-JVS(3865)*X(321)-JVS(3866)*X(322)-JVS(3867)*X(323)&
&-JVS(3868)*X(324)-JVS(3869)*X(326)-JVS(3870)*X(327)-JVS(3871)*X(328)-JVS(3872)*X(329)-JVS(3873)*X(330)&
&-JVS(3874)*X(331)-JVS(3875)*X(332)-JVS(3876)*X(333)-JVS(3877)*X(334)-JVS(3878)*X(335)-JVS(3879)*X(336)&
&-JVS(3880)*X(337)-JVS(3881)*X(338)-JVS(3882)*X(339)-JVS(3883)*X(340)-JVS(3884)*X(341)-JVS(3885)*X(342)&
&-JVS(3886)*X(343)-JVS(3887)*X(345)-JVS(3888)*X(346)-JVS(3889)*X(347)-JVS(3890)*X(348)-JVS(3891)*X(349)&
&-JVS(3892)*X(350)-JVS(3893)*X(351)-JVS(3894)*X(352)-JVS(3895)*X(353)-JVS(3896)*X(354)-JVS(3897)*X(355)&
&-JVS(3898)*X(356)-JVS(3899)*X(357)-JVS(3900)*X(358)-JVS(3901)*X(359)-JVS(3902)*X(360)-JVS(3903)*X(361)&
&-JVS(3904)*X(362)-JVS(3905)*X(363)-JVS(3906)*X(364)-JVS(3907)*X(365)-JVS(3908)*X(366)-JVS(3909)*X(367)&
&-JVS(3910)*X(368)-JVS(3911)*X(369)-JVS(3912)*X(370)-JVS(3913)*X(371)-JVS(3914)*X(372)-JVS(3915)*X(373)&
&-JVS(3916)*X(374)-JVS(3917)*X(375)-JVS(3918)*X(376)-JVS(3919)*X(377)-JVS(3920)*X(378)-JVS(3921)*X(379)&
&-JVS(3922)*X(380)-JVS(3923)*X(381)-JVS(3924)*X(382)-JVS(3925)*X(383)-JVS(3926)*X(384)-JVS(3927)*X(385)&
&-JVS(3928)*X(386)-JVS(3929)*X(387)-JVS(3930)*X(388)-JVS(3931)*X(389)-JVS(3932)*X(390)-JVS(3933)*X(391)&
&-JVS(3934)*X(392)-JVS(3935)*X(393)-JVS(3936)*X(394)-JVS(3937)*X(395)-JVS(3938)*X(396)-JVS(3939)*X(397)&
&-JVS(3940)*X(398)-JVS(3941)*X(399)-JVS(3942)*X(400)-JVS(3943)*X(401)-JVS(3944)*X(402)-JVS(3945)*X(403)&
&-JVS(3946)*X(404)-JVS(3947)*X(405)-JVS(3948)*X(406)
X(407) = X(407)/JVS(3949)
X(406) = (X(406)-JVS(3729)*X(407))/(JVS(3728))
X(405) = (X(405)-JVS(3715)*X(406)-JVS(3716)*X(407))/(JVS(3714))
X(404) = (X(404)-JVS(3701)*X(405)-JVS(3702)*X(406)-JVS(3703)*X(407))/(JVS(3700))
X(403) = (X(403)-JVS(3502)*X(404)-JVS(3503)*X(405)-JVS(3504)*X(406)-JVS(3505)*X(407))/(JVS(3501))
X(402) = (X(402)-JVS(3465)*X(403)-JVS(3466)*X(404)-JVS(3467)*X(405)-JVS(3468)*X(406)-JVS(3469)*X(407))/(JVS(3464))
X(401) = (X(401)-JVS(3299)*X(402)-JVS(3300)*X(403)-JVS(3301)*X(404)-JVS(3302)*X(405)-JVS(3303)*X(406)-JVS(3304)&
&*X(407))/(JVS(3298))
X(400) = (X(400)-JVS(3216)*X(401)-JVS(3217)*X(402)-JVS(3218)*X(403)-JVS(3219)*X(404)-JVS(3220)*X(405)-JVS(3221)*X(406)&
&-JVS(3222)*X(407))/(JVS(3215))
X(399) = (X(399)-JVS(3165)*X(400)-JVS(3166)*X(401)-JVS(3167)*X(402)-JVS(3168)*X(403)-JVS(3169)*X(404)-JVS(3170)*X(405)&
&-JVS(3171)*X(406)-JVS(3172)*X(407))/(JVS(3164))
X(398) = (X(398)-JVS(3145)*X(399)-JVS(3146)*X(400)-JVS(3147)*X(401)-JVS(3148)*X(402)-JVS(3149)*X(404)-JVS(3150)*X(405)&
&-JVS(3151)*X(406)-JVS(3152)*X(407))/(JVS(3144))
X(397) = (X(397)-JVS(3130)*X(398)-JVS(3131)*X(399)-JVS(3132)*X(400)-JVS(3133)*X(401)-JVS(3134)*X(402)-JVS(3135)*X(403)&
&-JVS(3136)*X(404)-JVS(3137)*X(405)-JVS(3138)*X(406)-JVS(3139)*X(407))/(JVS(3129))
X(396) = (X(396)-JVS(2919)*X(397)-JVS(2920)*X(398)-JVS(2921)*X(399)-JVS(2922)*X(400)-JVS(2923)*X(401)-JVS(2924)*X(402)&
&-JVS(2925)*X(403)-JVS(2926)*X(404)-JVS(2927)*X(405)-JVS(2928)*X(406)-JVS(2929)*X(407))/(JVS(2918))
X(395) = (X(395)-JVS(2864)*X(397)-JVS(2865)*X(398)-JVS(2866)*X(399)-JVS(2867)*X(400)-JVS(2868)*X(401)-JVS(2869)*X(402)&
&-JVS(2870)*X(403)-JVS(2871)*X(404)-JVS(2872)*X(405)-JVS(2873)*X(406)-JVS(2874)*X(407))/(JVS(2863))
X(394) = (X(394)-JVS(2844)*X(397)-JVS(2845)*X(398)-JVS(2846)*X(399)-JVS(2847)*X(400)-JVS(2848)*X(401)-JVS(2849)*X(402)&
&-JVS(2850)*X(403)-JVS(2851)*X(404)-JVS(2852)*X(405)-JVS(2853)*X(406)-JVS(2854)*X(407))/(JVS(2843))
X(393) = (X(393)-JVS(2832)*X(396)-JVS(2833)*X(397)-JVS(2834)*X(400)-JVS(2835)*X(401)-JVS(2836)*X(402)-JVS(2837)*X(404)&
&-JVS(2838)*X(407))/(JVS(2831))
X(392) = (X(392)-JVS(2730)*X(393)-JVS(2731)*X(396)-JVS(2732)*X(397)-JVS(2733)*X(400)-JVS(2734)*X(401)-JVS(2735)*X(402)&
&-JVS(2736)*X(404)-JVS(2737)*X(407))/(JVS(2729))
X(391) = (X(391)-JVS(2699)*X(393)-JVS(2700)*X(397)-JVS(2701)*X(400)-JVS(2702)*X(401)-JVS(2703)*X(402)-JVS(2704)*X(404)&
&-JVS(2705)*X(407))/(JVS(2698))
X(390) = (X(390)-JVS(2680)*X(391)-JVS(2681)*X(393)-JVS(2682)*X(397)-JVS(2683)*X(400)-JVS(2684)*X(401)-JVS(2685)*X(402)&
&-JVS(2686)*X(404)-JVS(2687)*X(407))/(JVS(2679))
X(389) = (X(389)-JVS(2663)*X(391)-JVS(2664)*X(393)-JVS(2665)*X(397)-JVS(2666)*X(400)-JVS(2667)*X(401)-JVS(2668)*X(402)&
&-JVS(2669)*X(404)-JVS(2670)*X(407))/(JVS(2662))
X(388) = (X(388)-JVS(2651)*X(391)-JVS(2652)*X(393)-JVS(2653)*X(397)-JVS(2654)*X(400)-JVS(2655)*X(401)-JVS(2656)*X(402)&
&-JVS(2657)*X(404)-JVS(2658)*X(407))/(JVS(2650))
X(387) = (X(387)-JVS(2635)*X(397)-JVS(2636)*X(398)-JVS(2637)*X(399)-JVS(2638)*X(400)-JVS(2639)*X(401)-JVS(2640)*X(402)&