TABLE OF CONTENTS


ABINIT/contstr26 [ Functions ]

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NAME

 contstr26

FUNCTION

 Carries out specialized metric tensor operations needed for contraction
 of the 2nd strain derivative of the l=0,1,2,3 nonlocal Kleinman-Bylander
 pseudopotential operation.  Derivatives are wrt a pair of cartesian
 strain components.
 Full advantage is taken of the full permutational symmetry of these
 tensors.

COPYRIGHT

 Copyright (C) 1998-2018 ABINIT group (DRH)
 This file is distributed under the terms of the
 GNU General Public License, see ~abinit/COPYING
 or http://www.gnu.org/copyleft/gpl.txt .
 For the initials of contributors, see ~abinit/doc/developers/contributors.txt.

INPUTS

  istr1=1,...6 specifies cartesian strain component 11,22,33,32,31,21
  istr2=seccond strain component
  rank=angular momentum
  gm(3,3)=metric tensor (array is symmetric but stored as 3x3)
  gprimd(3,3)=reciprocal space dimensional primitive translations
  aa(2,*)=unique elements of complex right-hand tensor
  bb(2,*)=unique elements of complex left-hand tensor

OUTPUT

  e2nl=contraction for nonlocal 2nd-order strain derivative energy

NOTES

 All tensors are stored in a compressed storage mode defined below;
 input and output conform to this scheme.
 When tensor elements occur repeatedly due to symmetry, the
 WEIGHT IS INCLUDED in the output tensor element to simplify later
 contractions with other tensors of the same rank and form, i.e. the
 next contraction is then simply a dot product over the unique elements.

PARENTS

      nonlop_pl

CHILDREN

SOURCE

 48 #if defined HAVE_CONFIG_H
 49 #include "config.h"
 50 #endif
 51 
 52 #include "abi_common.h"
 53 
 54 subroutine contstr26(istr1,istr2,rank,gm,gprimd,e2nl,aa,bb)
 55 
 56  use m_profiling_abi
 57 
 58  use defs_basis
 59 
 60 !This section has been created automatically by the script Abilint (TD).
 61 !Do not modify the following lines by hand.
 62 #undef ABI_FUNC
 63 #define ABI_FUNC 'contstr26'
 64 !End of the abilint section
 65 
 66  implicit none
 67 
 68 !Arguments ------------------------------------
 69 !scalars
 70  integer,intent(in) :: istr1,istr2,rank
 71  real(dp),intent(out) :: e2nl
 72 !arrays
 73  real(dp),intent(in) :: aa(2,((rank+1)*(rank+2))/2),bb(2,((rank+1)*(rank+2))/2)
 74  real(dp),intent(in) :: gm(3,3),gprimd(3,3)
 75 
 76 !Local variables-------------------------------
 77 !scalars
 78  integer,parameter :: mrank=3
 79  integer :: ii,jj,ka,kb,kd,kg
 80 !arrays
 81  integer,save :: idx(12)=(/1,1,2,2,3,3,3,2,3,1,2,1/)
 82  real(dp) :: d2gm(3,3),dgm01(3,3),dgm10(3,3),tmp(2)
 83  real(dp),allocatable :: cm(:,:)
 84 
 85 ! *************************************************************************
 86  ABI_ALLOCATE(cm,(((mrank+1)*(mrank+2))/2,((mrank+1)*(mrank+2))/2))
 87 
 88  ka=idx(2*istr1-1);kb=idx(2*istr1);kg=idx(2*istr2-1);kd=idx(2*istr2)
 89 
 90  do ii = 1,3
 91    dgm01(:,ii)=-(gprimd(ka,:)*gprimd(kb,ii)+gprimd(kb,:)*gprimd(ka,ii))
 92    dgm10(:,ii)=-(gprimd(kg,:)*gprimd(kd,ii)+gprimd(kd,:)*gprimd(kg,ii))
 93  end do
 94 
 95  d2gm(:,:)=0.d0
 96  do ii = 1,3
 97    if(ka==kg) d2gm(:,ii)=d2gm(:,ii)&
 98 &   +gprimd(kb,:)*gprimd(kd,ii)+gprimd(kd,:)*gprimd(kb,ii)
 99    if(ka==kd) d2gm(:,ii)=d2gm(:,ii)&
100 &   +gprimd(kb,:)*gprimd(kg,ii)+gprimd(kg,:)*gprimd(kb,ii)
101    if(kb==kg) d2gm(:,ii)=d2gm(:,ii)&
102 &   +gprimd(ka,:)*gprimd(kd,ii)+gprimd(kd,:)*gprimd(ka,ii)
103    if(kb==kd) d2gm(:,ii)=d2gm(:,ii)&
104 &   +gprimd(ka,:)*gprimd(kg,ii)+gprimd(kg,:)*gprimd(ka,ii)
105  end do
106  d2gm(:,:)=0.5d0*d2gm(:,:)
107 
108 !
109 !The code below was written by a Mathematica program and formatted by
110 !a combination of editing scripts.  It is not intended to be read
111 !by human beings, and certainly not to be modified by one.  Conceivably
112 !it could be shortened somewhat by identifying common subexpressions.
113 !
114  if(rank==0)then
115    cm(1,1)=0.0d0
116  elseif(rank==1)then
117    cm(1,1)=d2gm(1,1)
118    cm(2,1)=d2gm(1,2)
119    cm(3,1)=d2gm(1,3)
120    cm(1,2)=d2gm(1,2)
121    cm(2,2)=d2gm(2,2)
122    cm(3,2)=d2gm(2,3)
123    cm(1,3)=d2gm(1,3)
124    cm(2,3)=d2gm(2,3)
125    cm(3,3)=d2gm(3,3)
126  elseif(rank==2)then
127    cm(1,1)=2*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))
128    cm(2,1)=-0.5d0*dgm01(2,2)*dgm10(1,1)+3*dgm01(1,2)*dgm10(1,2)&
129 &   -0.5d0*dgm01(1,1)*dgm10(2,2)-0.5d0*gm(2,2)*d2gm(1,1)+3*gm(1,2)&
130 &   *d2gm(1,2)-0.5d0*gm(1,1)*d2gm(2,2)
131    cm(3,1)=-0.5d0*dgm01(3,3)*dgm10(1,1)+3*dgm01(1,3)*dgm10(1,3)&
132 &   -0.5d0*dgm01(1,1)*dgm10(3,3)-0.5d0*gm(3,3)*d2gm(1,1)+3*gm(1,3)&
133 &   *d2gm(1,3)-0.5d0*gm(1,1)*d2gm(3,3)
134    cm(4,1)=-dgm01(2,3)*dgm10(1,1)+3*dgm01(1,3)*dgm10(1,2)+3*dgm01(1,2)&
135 &   *dgm10(1,3)-dgm01(1,1)*dgm10(2,3)-gm(2,3)*d2gm(1,1)+3*gm(1,3)&
136 &   *d2gm(1,2)+3*gm(1,2)*d2gm(1,3)-gm(1,1)*d2gm(2,3)
137    cm(5,1)=2*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)+gm(1,3)&
138 &   *d2gm(1,1)+gm(1,1)*d2gm(1,3))
139    cm(6,1)=2*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
140 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))
141    cm(1,2)=-0.5d0*dgm01(2,2)*dgm10(1,1)+3*dgm01(1,2)*dgm10(1,2)&
142 &   -0.5d0*dgm01(1,1)*dgm10(2,2)-0.5d0*gm(2,2)*d2gm(1,1)+3*gm(1,2)&
143 &   *d2gm(1,2)-0.5d0*gm(1,1)*d2gm(2,2)
144    cm(2,2)=2*(dgm01(2,2)*dgm10(2,2)+gm(2,2)*d2gm(2,2))
145    cm(3,2)=-0.5d0*dgm01(3,3)*dgm10(2,2)+3*dgm01(2,3)*dgm10(2,3)&
146 &   -0.5d0*dgm01(2,2)*dgm10(3,3)-0.5d0*gm(3,3)*d2gm(2,2)+3*gm(2,3)&
147 &   *d2gm(2,3)-0.5d0*gm(2,2)*d2gm(3,3)
148    cm(4,2)=2*(dgm01(2,3)*dgm10(2,2)+dgm01(2,2)*dgm10(2,3)+gm(2,3)&
149 &   *d2gm(2,2)+gm(2,2)*d2gm(2,3))
150    cm(5,2)=3*dgm01(2,3)*dgm10(1,2)-dgm01(2,2)*dgm10(1,3)-dgm01(1,3)&
151 &   *dgm10(2,2)+3*dgm01(1,2)*dgm10(2,3)+3*gm(2,3)*d2gm(1,2)-gm(2,2)&
152 &   *d2gm(1,3)-gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3)
153    cm(6,2)=2*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
154 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))
155    cm(1,3)=-0.5d0*dgm01(3,3)*dgm10(1,1)+3*dgm01(1,3)*dgm10(1,3)&
156 &   -0.5d0*dgm01(1,1)*dgm10(3,3)-0.5d0*gm(3,3)*d2gm(1,1)+3*gm(1,3)&
157 &   *d2gm(1,3)-0.5d0*gm(1,1)*d2gm(3,3)
158    cm(2,3)=-0.5d0*dgm01(3,3)*dgm10(2,2)+3*dgm01(2,3)*dgm10(2,3)&
159 &   -0.5d0*dgm01(2,2)*dgm10(3,3)-0.5d0*gm(3,3)*d2gm(2,2)+3*gm(2,3)&
160 &   *d2gm(2,3)-0.5d0*gm(2,2)*d2gm(3,3)
161    cm(3,3)=2*(dgm01(3,3)*dgm10(3,3)+gm(3,3)*d2gm(3,3))
162    cm(4,3)=2*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3)+gm(3,3)&
163 &   *d2gm(2,3)+gm(2,3)*d2gm(3,3))
164    cm(5,3)=2*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3)+gm(3,3)&
165 &   *d2gm(1,3)+gm(1,3)*d2gm(3,3))
166    cm(6,3)=-dgm01(3,3)*dgm10(1,2)+3*dgm01(2,3)*dgm10(1,3)+3*dgm01(1,3)&
167 &   *dgm10(2,3)-dgm01(1,2)*dgm10(3,3)-gm(3,3)*d2gm(1,2)+3*gm(2,3)&
168 &   *d2gm(1,3)+3*gm(1,3)*d2gm(2,3)-gm(1,2)*d2gm(3,3)
169    cm(1,4)=-dgm01(2,3)*dgm10(1,1)+3*dgm01(1,3)*dgm10(1,2)+3*dgm01(1,2)&
170 &   *dgm10(1,3)-dgm01(1,1)*dgm10(2,3)-gm(2,3)*d2gm(1,1)+3*gm(1,3)&
171 &   *d2gm(1,2)+3*gm(1,2)*d2gm(1,3)-gm(1,1)*d2gm(2,3)
172    cm(2,4)=2*(dgm01(2,3)*dgm10(2,2)+dgm01(2,2)*dgm10(2,3)+gm(2,3)&
173 &   *d2gm(2,2)+gm(2,2)*d2gm(2,3))
174    cm(3,4)=2*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3)+gm(3,3)&
175 &   *d2gm(2,3)+gm(2,3)*d2gm(3,3))
176    cm(4,4)=3*dgm01(3,3)*dgm10(2,2)+2*dgm01(2,3)*dgm10(2,3)+3*dgm01(2,2)&
177 &   *dgm10(3,3)+3*gm(3,3)*d2gm(2,2)+2*gm(2,3)*d2gm(2,3)+3*gm(2,2)&
178 &   *d2gm(3,3)
179    cm(5,4)=3*dgm01(3,3)*dgm10(1,2)+dgm01(2,3)*dgm10(1,3)+dgm01(1,3)&
180 &   *dgm10(2,3)+3*dgm01(1,2)*dgm10(3,3)+3*gm(3,3)*d2gm(1,2)+gm(2,3)&
181 &   *d2gm(1,3)+gm(1,3)*d2gm(2,3)+3*gm(1,2)*d2gm(3,3)
182    cm(6,4)=dgm01(2,3)*dgm10(1,2)+3*dgm01(2,2)*dgm10(1,3)+3*dgm01(1,3)&
183 &   *dgm10(2,2)+dgm01(1,2)*dgm10(2,3)+gm(2,3)*d2gm(1,2)+3*gm(2,2)&
184 &   *d2gm(1,3)+3*gm(1,3)*d2gm(2,2)+gm(1,2)*d2gm(2,3)
185    cm(1,5)=2*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)+gm(1,3)&
186 &   *d2gm(1,1)+gm(1,1)*d2gm(1,3))
187    cm(2,5)=3*dgm01(2,3)*dgm10(1,2)-dgm01(2,2)*dgm10(1,3)-dgm01(1,3)&
188 &   *dgm10(2,2)+3*dgm01(1,2)*dgm10(2,3)+3*gm(2,3)*d2gm(1,2)-gm(2,2)&
189 &   *d2gm(1,3)-gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3)
190    cm(3,5)=2*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3)+gm(3,3)&
191 &   *d2gm(1,3)+gm(1,3)*d2gm(3,3))
192    cm(4,5)=3*dgm01(3,3)*dgm10(1,2)+dgm01(2,3)*dgm10(1,3)+dgm01(1,3)&
193 &   *dgm10(2,3)+3*dgm01(1,2)*dgm10(3,3)+3*gm(3,3)*d2gm(1,2)+gm(2,3)&
194 &   *d2gm(1,3)+gm(1,3)*d2gm(2,3)+3*gm(1,2)*d2gm(3,3)
195    cm(5,5)=3*dgm01(3,3)*dgm10(1,1)+2*dgm01(1,3)*dgm10(1,3)+3*dgm01(1,1)&
196 &   *dgm10(3,3)+3*gm(3,3)*d2gm(1,1)+2*gm(1,3)*d2gm(1,3)+3*gm(1,1)&
197 &   *d2gm(3,3)
198    cm(6,5)=3*dgm01(2,3)*dgm10(1,1)+dgm01(1,3)*dgm10(1,2)+dgm01(1,2)&
199 &   *dgm10(1,3)+3*dgm01(1,1)*dgm10(2,3)+3*gm(2,3)*d2gm(1,1)+gm(1,3)&
200 &   *d2gm(1,2)+gm(1,2)*d2gm(1,3)+3*gm(1,1)*d2gm(2,3)
201    cm(1,6)=2*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
202 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))
203    cm(2,6)=2*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
204 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))
205    cm(3,6)=-dgm01(3,3)*dgm10(1,2)+3*dgm01(2,3)*dgm10(1,3)+3*dgm01(1,3)&
206 &   *dgm10(2,3)-dgm01(1,2)*dgm10(3,3)-gm(3,3)*d2gm(1,2)+3*gm(2,3)&
207 &   *d2gm(1,3)+3*gm(1,3)*d2gm(2,3)-gm(1,2)*d2gm(3,3)
208    cm(4,6)=dgm01(2,3)*dgm10(1,2)+3*dgm01(2,2)*dgm10(1,3)+3*dgm01(1,3)&
209 &   *dgm10(2,2)+dgm01(1,2)*dgm10(2,3)+gm(2,3)*d2gm(1,2)+3*gm(2,2)&
210 &   *d2gm(1,3)+3*gm(1,3)*d2gm(2,2)+gm(1,2)*d2gm(2,3)
211    cm(5,6)=3*dgm01(2,3)*dgm10(1,1)+dgm01(1,3)*dgm10(1,2)+dgm01(1,2)&
212 &   *dgm10(1,3)+3*dgm01(1,1)*dgm10(2,3)+3*gm(2,3)*d2gm(1,1)+gm(1,3)&
213 &   *d2gm(1,2)+gm(1,2)*d2gm(1,3)+3*gm(1,1)*d2gm(2,3)
214    cm(6,6)=3*dgm01(2,2)*dgm10(1,1)+2*dgm01(1,2)*dgm10(1,2)+3*dgm01(1,1)&
215 &   *dgm10(2,2)+3*gm(2,2)*d2gm(1,1)+2*gm(1,2)*d2gm(1,2)+3*gm(1,1)&
216 &   *d2gm(2,2)
217  elseif(rank==3)then
218    cm(1,1)=gm(1,1)*(6*dgm01(1,1)*dgm10(1,1)+3*gm(1,1)*d2gm(1,1))
219    cm(2,1)=4.5d0*gm(1,2)**2*d2gm(1,1)-3*gm(2,2)*(dgm01(1,1)*dgm10(1,1)&
220 &   +gm(1,1)*d2gm(1,1))+9*gm(1,2)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
221 &   *dgm10(1,2)+gm(1,1)*d2gm(1,2))+gm(1,1)*(-3*dgm01(2,2)*dgm10(1,1)&
222 &   +9*dgm01(1,2)*dgm10(1,2)-3*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(1,1)&
223 &   *d2gm(2,2))
224    cm(3,1)=4.5d0*gm(1,3)**2*d2gm(1,1)-3*gm(3,3)*(dgm01(1,1)*dgm10(1,1)&
225 &   +gm(1,1)*d2gm(1,1))+9*gm(1,3)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)&
226 &   *dgm10(1,3)+gm(1,1)*d2gm(1,3))+gm(1,1)*(-3*dgm01(3,3)*dgm10(1,1)&
227 &   +9*dgm01(1,3)*dgm10(1,3)-3*dgm01(1,1)*dgm10(3,3)-1.5d0*gm(1,1)&
228 &   *d2gm(3,3))
229    cm(4,1)=9*gm(1,2)*dgm01(1,3)*dgm10(1,1)-6*gm(1,1)*dgm01(2,3)&
230 &   *dgm10(1,1)+9*gm(1,1)*dgm01(1,3)*dgm10(1,2)+9*gm(1,2)*dgm01(1,1)&
231 &   *dgm10(1,3)+9*gm(1,1)*dgm01(1,2)*dgm10(1,3)-6*gm(1,1)*dgm01(1,1)&
232 &   *dgm10(2,3)-6*gm(2,3)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
233 &   +9*gm(1,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
234 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))+9*gm(1,1)*gm(1,2)*d2gm(1,3)-3*gm(1,1)&
235 &   **2*d2gm(2,3)
236    cm(5,1)=6*gm(1,3)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
237 &   +gm(1,1)*(6*dgm01(1,3)*dgm10(1,1)+6*dgm01(1,1)*dgm10(1,3)+3*gm(1,1)&
238 &   *d2gm(1,3))
239    cm(6,1)=6*gm(1,2)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
240 &   +gm(1,1)*(6*dgm01(1,2)*dgm10(1,1)+6*dgm01(1,1)*dgm10(1,2)+3*gm(1,1)&
241 &   *d2gm(1,2))
242    cm(7,1)=-1.5d0*gm(1,1)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2))&
243 &   +7.5d0*gm(1,2)**2*d2gm(1,2)-1.5d0*gm(2,2)*(dgm01(1,2)*dgm10(1,1)&
244 &   +dgm01(1,1)*dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+gm(1,2)&
245 &   *(-1.5d0*dgm01(2,2)*dgm10(1,1)+15*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)&
246 &   *dgm10(2,2)-1.5d0*gm(1,1)*d2gm(2,2))
247    cm(8,1)=-3*gm(1,3)*dgm01(2,3)*dgm10(1,1)-1.5d0*gm(1,2)*dgm01(3,3)&
248 &   *dgm10(1,1)+15*gm(1,3)*dgm01(1,3)*dgm10(1,2)-1.5d0*gm(1,1)*dgm01(3,3)&
249 &   *dgm10(1,2)+15*gm(1,3)*dgm01(1,2)*dgm10(1,3)+15*gm(1,2)*dgm01(1,3)&
250 &   *dgm10(1,3)-3*gm(1,1)*dgm01(2,3)*dgm10(1,3)-3*gm(1,3)*dgm01(1,1)&
251 &   *dgm10(2,3)-3*gm(1,1)*dgm01(1,3)*dgm10(2,3)-1.5d0*gm(1,2)*dgm01(1,1)&
252 &   *dgm10(3,3)-1.5d0*gm(1,1)*dgm01(1,2)*dgm10(3,3)+7.5d0*gm(1,3)&
253 &   **2*d2gm(1,2)-1.5d0*gm(3,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
254 &   *dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+15*gm(1,2)*gm(1,3)&
255 &   *d2gm(1,3)-3*gm(2,3)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)&
256 &   +gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))-3*gm(1,1)*gm(1,3)*d2gm(2,3)&
257 &   -1.5d0*gm(1,1)*gm(1,2)*d2gm(3,3)
258    cm(9,1)=-1.5d0*gm(1,3)*dgm01(2,2)*dgm10(1,1)-3*gm(1,2)*dgm01(2,3)&
259 &   *dgm10(1,1)+15*gm(1,3)*dgm01(1,2)*dgm10(1,2)+15*gm(1,2)*dgm01(1,3)&
260 &   *dgm10(1,2)-3*gm(1,1)*dgm01(2,3)*dgm10(1,2)+15*gm(1,2)*dgm01(1,2)&
261 &   *dgm10(1,3)-1.5d0*gm(1,1)*dgm01(2,2)*dgm10(1,3)-1.5d0*gm(1,3)&
262 &   *dgm01(1,1)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(1,3)*dgm10(2,2)-3*gm(1,2)&
263 &   *dgm01(1,1)*dgm10(2,3)-3*gm(1,1)*dgm01(1,2)*dgm10(2,3)+15*gm(1,2)&
264 &   *gm(1,3)*d2gm(1,2)-3*gm(2,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
265 &   *dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+7.5d0*gm(1,2)&
266 &   **2*d2gm(1,3)-1.5d0*gm(2,2)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)&
267 &   *dgm10(1,3)+gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))-1.5d0*gm(1,1)&
268 &   *gm(1,3)*d2gm(2,2)-3*gm(1,1)*gm(1,2)*d2gm(2,3)
269    cm(10,1)=-1.5d0*gm(1,1)*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3))&
270 &   +7.5d0*gm(1,3)**2*d2gm(1,3)-1.5d0*gm(3,3)*(dgm01(1,3)*dgm10(1,1)&
271 &   +dgm01(1,1)*dgm10(1,3)+gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))+gm(1,3)&
272 &   *(-1.5d0*dgm01(3,3)*dgm10(1,1)+15*dgm01(1,3)*dgm10(1,3)-1.5d0*dgm01(1,1)&
273 &   *dgm10(3,3)-1.5d0*gm(1,1)*d2gm(3,3))
274    cm(1,2)=4.5d0*gm(1,2)**2*d2gm(1,1)-3*gm(2,2)*(dgm01(1,1)*dgm10(1,1)&
275 &   +gm(1,1)*d2gm(1,1))+9*gm(1,2)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
276 &   *dgm10(1,2)+gm(1,1)*d2gm(1,2))+gm(1,1)*(-3*dgm01(2,2)*dgm10(1,1)&
277 &   +9*dgm01(1,2)*dgm10(1,2)-3*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(1,1)&
278 &   *d2gm(2,2))
279    cm(2,2)=12*gm(1,1)*dgm01(2,2)*dgm10(2,2)+6*gm(1,2)*(dgm01(2,2)&
280 &   *dgm10(1,2)+dgm01(1,2)*dgm10(2,2))+6*gm(2,2)**2*d2gm(1,1)+3*gm(1,2)&
281 &   **2*d2gm(2,2)+gm(2,2)*(12*dgm01(2,2)*dgm10(1,1)+6*dgm01(1,2)&
282 &   *dgm10(1,2)+12*dgm01(1,1)*dgm10(2,2)+6*gm(1,2)*d2gm(1,2)+12*gm(1,1)&
283 &   *d2gm(2,2))
284    cm(3,2)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,1)+9*gm(1,3)*dgm01(2,3)&
285 &   *dgm10(1,2)-6*gm(1,2)*dgm01(3,3)*dgm10(1,2)-6*gm(2,2)*dgm01(1,3)&
286 &   *dgm10(1,3)-6*gm(1,3)*dgm01(2,2)*dgm10(1,3)+9*gm(1,2)*dgm01(2,3)&
287 &   *dgm10(1,3)-6*gm(1,3)*dgm01(1,3)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(3,3)&
288 &   *dgm10(2,2)+9*gm(1,3)*dgm01(1,2)*dgm10(2,3)+9*gm(1,2)*dgm01(1,3)&
289 &   *dgm10(2,3)+15*gm(1,1)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,1)&
290 &   *dgm10(3,3)-6*gm(1,2)*dgm01(1,2)*dgm10(3,3)-1.5d0*gm(1,1)*dgm01(2,2)&
291 &   *dgm10(3,3)+7.5d0*gm(2,3)**2*d2gm(1,1)-6*gm(1,3)*gm(2,2)*d2gm(1,3)&
292 &   -3*gm(1,3)**2*d2gm(2,2)+gm(3,3)*(-1.5d0*dgm01(2,2)*dgm10(1,1)&
293 &   -6*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(2,2)&
294 &   *d2gm(1,1)-6*gm(1,2)*d2gm(1,2)-1.5d0*gm(1,1)*d2gm(2,2))+9*gm(1,2)&
295 &   *gm(1,3)*d2gm(2,3)+gm(2,3)*(15*dgm01(2,3)*dgm10(1,1)+9*dgm01(1,3)&
296 &   *dgm10(1,2)+9*dgm01(1,2)*dgm10(1,3)+15*dgm01(1,1)*dgm10(2,3)&
297 &   +9*gm(1,3)*d2gm(1,2)+9*gm(1,2)*d2gm(1,3)+15*gm(1,1)*d2gm(2,3))&
298 &   -3*gm(1,2)**2*d2gm(3,3)-1.5d0*gm(1,1)*gm(2,2)*d2gm(3,3)
299    cm(4,2)=3*gm(1,3)*dgm01(2,2)*dgm10(1,2)+6*gm(1,2)*dgm01(2,3)&
300 &   *dgm10(1,2)+3*gm(1,2)*dgm01(2,2)*dgm10(1,3)+3*gm(1,3)*dgm01(1,2)&
301 &   *dgm10(2,2)+3*gm(1,2)*dgm01(1,3)*dgm10(2,2)+12*gm(1,1)*dgm01(2,3)&
302 &   *dgm10(2,2)+6*gm(1,2)*dgm01(1,2)*dgm10(2,3)+12*gm(1,1)*dgm01(2,2)&
303 &   *dgm10(2,3)+3*gm(1,2)*gm(1,3)*d2gm(2,2)+gm(2,3)*(12*dgm01(2,2)&
304 &   *dgm10(1,1)+6*dgm01(1,2)*dgm10(1,2)+12*dgm01(1,1)*dgm10(2,2)&
305 &   +12*gm(2,2)*d2gm(1,1)+6*gm(1,2)*d2gm(1,2)+12*gm(1,1)*d2gm(2,2))&
306 &   +3*gm(1,2)**2*d2gm(2,3)+gm(2,2)*(12*dgm01(2,3)*dgm10(1,1)+3*dgm01(1,3)&
307 &   *dgm10(1,2)+3*dgm01(1,2)*dgm10(1,3)+12*dgm01(1,1)*dgm10(2,3)&
308 &   +3*gm(1,3)*d2gm(1,2)+3*gm(1,2)*d2gm(1,3)+12*gm(1,1)*d2gm(2,3))
309    cm(5,2)=-4.5d0*gm(1,3)*dgm01(2,2)*dgm10(1,1)+12*gm(1,2)*dgm01(2,3)&
310 &   *dgm10(1,1)+3*gm(1,3)*dgm01(1,2)*dgm10(1,2)+3*gm(1,2)*dgm01(1,3)&
311 &   *dgm10(1,2)+12*gm(1,1)*dgm01(2,3)*dgm10(1,2)+3*gm(1,2)*dgm01(1,2)&
312 &   *dgm10(1,3)-4.5d0*gm(1,1)*dgm01(2,2)*dgm10(1,3)-4.5d0*gm(1,3)&
313 &   *dgm01(1,1)*dgm10(2,2)-4.5d0*gm(1,1)*dgm01(1,3)*dgm10(2,2)+12*gm(1,2)&
314 &   *dgm01(1,1)*dgm10(2,3)+12*gm(1,1)*dgm01(1,2)*dgm10(2,3)+3*gm(1,2)&
315 &   *gm(1,3)*d2gm(1,2)+12*gm(2,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
316 &   *dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+1.5d0*gm(1,2)&
317 &   **2*d2gm(1,3)-4.5d0*gm(2,2)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)&
318 &   *dgm10(1,3)+gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))-4.5d0*gm(1,1)&
319 &   *gm(1,3)*d2gm(2,2)+12*gm(1,1)*gm(1,2)*d2gm(2,3)
320    cm(6,2)=7.5d0*gm(1,1)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2))&
321 &   +4.5d0*gm(1,2)**2*d2gm(1,2)+7.5d0*gm(2,2)*(dgm01(1,2)*dgm10(1,1)&
322 &   +dgm01(1,1)*dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+gm(1,2)&
323 &   *(7.5d0*dgm01(2,2)*dgm10(1,1)+9*dgm01(1,2)*dgm10(1,2)+7.5d0*dgm01(1,1)&
324 &   *dgm10(2,2)+7.5d0*gm(1,1)*d2gm(2,2))
325    cm(7,2)=6*gm(1,2)*dgm01(2,2)*dgm10(2,2)+3*gm(2,2)**2*d2gm(1,2)&
326 &   +6*gm(2,2)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(1,2)&
327 &   *d2gm(2,2))
328    cm(8,2)=-4.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,2)+12*gm(2,2)*dgm01(2,3)&
329 &   *dgm10(1,3)+12*gm(1,3)*dgm01(2,3)*dgm10(2,2)-4.5d0*gm(1,2)*dgm01(3,3)&
330 &   *dgm10(2,2)+12*gm(2,2)*dgm01(1,3)*dgm10(2,3)+12*gm(1,3)*dgm01(2,2)&
331 &   *dgm10(2,3)+3*gm(1,2)*dgm01(2,3)*dgm10(2,3)-4.5d0*gm(2,2)*dgm01(1,2)&
332 &   *dgm10(3,3)-4.5d0*gm(1,2)*dgm01(2,2)*dgm10(3,3)+1.5d0*gm(2,3)&
333 &   **2*d2gm(1,2)-4.5d0*gm(3,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)&
334 &   *dgm10(2,2)+gm(2,2)*d2gm(1,2)+gm(1,2)*d2gm(2,2))+12*gm(1,3)*gm(2,2)&
335 &   *d2gm(2,3)+gm(2,3)*(3*dgm01(2,3)*dgm10(1,2)+12*dgm01(2,2)*dgm10(1,3)&
336 &   +12*dgm01(1,3)*dgm10(2,2)+3*dgm01(1,2)*dgm10(2,3)+12*gm(2,2)&
337 &   *d2gm(1,3)+12*gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3))-4.5d0*gm(1,2)&
338 &   *gm(2,2)*d2gm(3,3)
339    cm(9,2)=12*gm(1,3)*dgm01(2,2)*dgm10(2,2)+3*gm(1,2)*dgm01(2,3)&
340 &   *dgm10(2,2)+3*gm(1,2)*dgm01(2,2)*dgm10(2,3)+6*gm(2,2)**2*d2gm(1,3)&
341 &   +3*gm(2,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
342 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))+gm(2,2)*(3*dgm01(2,3)*dgm10(1,2)&
343 &   +12*dgm01(2,2)*dgm10(1,3)+12*dgm01(1,3)*dgm10(2,2)+3*dgm01(1,2)&
344 &   *dgm10(2,3)+12*gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3))
345    cm(10,2)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,3)-1.5d0*gm(1,3)&
346 &   *dgm01(3,3)*dgm10(2,2)+15*gm(1,3)*dgm01(2,3)*dgm10(2,3)-3*gm(1,2)&
347 &   *dgm01(3,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,3)*dgm10(3,3)-1.5d0*gm(1,3)&
348 &   *dgm01(2,2)*dgm10(3,3)-3*gm(1,2)*dgm01(2,3)*dgm10(3,3)+7.5d0*gm(2,3)&
349 &   **2*d2gm(1,3)+gm(3,3)*(-3*dgm01(2,3)*dgm10(1,2)-1.5d0*dgm01(2,2)&
350 &   *dgm10(1,3)-1.5d0*dgm01(1,3)*dgm10(2,2)-3*dgm01(1,2)*dgm10(2,3)&
351 &   -3*gm(2,3)*d2gm(1,2)-1.5d0*gm(2,2)*d2gm(1,3)-1.5d0*gm(1,3)*d2gm(2,2)&
352 &   -3*gm(1,2)*d2gm(2,3))-1.5d0*gm(1,3)*gm(2,2)*d2gm(3,3)+gm(2,3)&
353 &   *(-3*dgm01(3,3)*dgm10(1,2)+15*dgm01(2,3)*dgm10(1,3)+15*dgm01(1,3)&
354 &   *dgm10(2,3)-3*dgm01(1,2)*dgm10(3,3)+15*gm(1,3)*d2gm(2,3)-3*gm(1,2)&
355 &   *d2gm(3,3))
356    cm(1,3)=4.5d0*gm(1,3)**2*d2gm(1,1)-3*gm(3,3)*(dgm01(1,1)*dgm10(1,1)&
357 &   +gm(1,1)*d2gm(1,1))+9*gm(1,3)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)&
358 &   *dgm10(1,3)+gm(1,1)*d2gm(1,3))+gm(1,1)*(-3*dgm01(3,3)*dgm10(1,1)&
359 &   +9*dgm01(1,3)*dgm10(1,3)-3*dgm01(1,1)*dgm10(3,3)-1.5d0*gm(1,1)&
360 &   *d2gm(3,3))
361    cm(2,3)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,1)+9*gm(1,3)*dgm01(2,3)&
362 &   *dgm10(1,2)-6*gm(1,2)*dgm01(3,3)*dgm10(1,2)-6*gm(2,2)*dgm01(1,3)&
363 &   *dgm10(1,3)-6*gm(1,3)*dgm01(2,2)*dgm10(1,3)+9*gm(1,2)*dgm01(2,3)&
364 &   *dgm10(1,3)-6*gm(1,3)*dgm01(1,3)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(3,3)&
365 &   *dgm10(2,2)+9*gm(1,3)*dgm01(1,2)*dgm10(2,3)+9*gm(1,2)*dgm01(1,3)&
366 &   *dgm10(2,3)+15*gm(1,1)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,1)&
367 &   *dgm10(3,3)-6*gm(1,2)*dgm01(1,2)*dgm10(3,3)-1.5d0*gm(1,1)*dgm01(2,2)&
368 &   *dgm10(3,3)+7.5d0*gm(2,3)**2*d2gm(1,1)-6*gm(1,3)*gm(2,2)*d2gm(1,3)&
369 &   -3*gm(1,3)**2*d2gm(2,2)+gm(3,3)*(-1.5d0*dgm01(2,2)*dgm10(1,1)&
370 &   -6*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(2,2)&
371 &   *d2gm(1,1)-6*gm(1,2)*d2gm(1,2)-1.5d0*gm(1,1)*d2gm(2,2))+9*gm(1,2)&
372 &   *gm(1,3)*d2gm(2,3)+gm(2,3)*(15*dgm01(2,3)*dgm10(1,1)+9*dgm01(1,3)&
373 &   *dgm10(1,2)+9*dgm01(1,2)*dgm10(1,3)+15*dgm01(1,1)*dgm10(2,3)&
374 &   +9*gm(1,3)*d2gm(1,2)+9*gm(1,2)*d2gm(1,3)+15*gm(1,1)*d2gm(2,3))&
375 &   -3*gm(1,2)**2*d2gm(3,3)-1.5d0*gm(1,1)*gm(2,2)*d2gm(3,3)
376    cm(3,3)=12*gm(1,1)*dgm01(3,3)*dgm10(3,3)+6*gm(1,3)*(dgm01(3,3)&
377 &   *dgm10(1,3)+dgm01(1,3)*dgm10(3,3))+6*gm(3,3)**2*d2gm(1,1)+3*gm(1,3)&
378 &   **2*d2gm(3,3)+gm(3,3)*(12*dgm01(3,3)*dgm10(1,1)+6*dgm01(1,3)&
379 &   *dgm10(1,3)+12*dgm01(1,1)*dgm10(3,3)+6*gm(1,3)*d2gm(1,3)+12*gm(1,1)&
380 &   *d2gm(3,3))
381    cm(4,3)=3*gm(1,3)*dgm01(3,3)*dgm10(1,2)+6*gm(1,3)*dgm01(2,3)&
382 &   *dgm10(1,3)+3*gm(1,2)*dgm01(3,3)*dgm10(1,3)+6*gm(1,3)*dgm01(1,3)&
383 &   *dgm10(2,3)+12*gm(1,1)*dgm01(3,3)*dgm10(2,3)+3*gm(1,3)*dgm01(1,2)&
384 &   *dgm10(3,3)+3*gm(1,2)*dgm01(1,3)*dgm10(3,3)+12*gm(1,1)*dgm01(2,3)&
385 &   *dgm10(3,3)+3*gm(1,3)**2*d2gm(2,3)+gm(3,3)*(12*dgm01(2,3)*dgm10(1,1)&
386 &   +3*dgm01(1,3)*dgm10(1,2)+3*dgm01(1,2)*dgm10(1,3)+12*dgm01(1,1)&
387 &   *dgm10(2,3)+12*gm(2,3)*d2gm(1,1)+3*gm(1,3)*d2gm(1,2)+3*gm(1,2)&
388 &   *d2gm(1,3)+12*gm(1,1)*d2gm(2,3))+3*gm(1,2)*gm(1,3)*d2gm(3,3)&
389 &   +gm(2,3)*(12*dgm01(3,3)*dgm10(1,1)+6*dgm01(1,3)*dgm10(1,3)+12*dgm01(1,1)&
390 &   *dgm10(3,3)+6*gm(1,3)*d2gm(1,3)+12*gm(1,1)*d2gm(3,3))
391    cm(5,3)=7.5d0*gm(1,1)*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3))&
392 &   +4.5d0*gm(1,3)**2*d2gm(1,3)+7.5d0*gm(3,3)*(dgm01(1,3)*dgm10(1,1)&
393 &   +dgm01(1,1)*dgm10(1,3)+gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))+gm(1,3)&
394 &   *(7.5d0*dgm01(3,3)*dgm10(1,1)+9*dgm01(1,3)*dgm10(1,3)+7.5d0*dgm01(1,1)&
395 &   *dgm10(3,3)+7.5d0*gm(1,1)*d2gm(3,3))
396    cm(6,3)=12*gm(1,3)*dgm01(2,3)*dgm10(1,1)-4.5d0*gm(1,2)*dgm01(3,3)&
397 &   *dgm10(1,1)+3*gm(1,3)*dgm01(1,3)*dgm10(1,2)-4.5d0*gm(1,1)*dgm01(3,3)&
398 &   *dgm10(1,2)+3*gm(1,3)*dgm01(1,2)*dgm10(1,3)+3*gm(1,2)*dgm01(1,3)&
399 &   *dgm10(1,3)+12*gm(1,1)*dgm01(2,3)*dgm10(1,3)+12*gm(1,3)*dgm01(1,1)&
400 &   *dgm10(2,3)+12*gm(1,1)*dgm01(1,3)*dgm10(2,3)-4.5d0*gm(1,2)*dgm01(1,1)&
401 &   *dgm10(3,3)-4.5d0*gm(1,1)*dgm01(1,2)*dgm10(3,3)+1.5d0*gm(1,3)&
402 &   **2*d2gm(1,2)-4.5d0*gm(3,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
403 &   *dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+3*gm(1,2)*gm(1,3)&
404 &   *d2gm(1,3)+12*gm(2,3)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)&
405 &   +gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))+12*gm(1,1)*gm(1,3)*d2gm(2,3)&
406 &   -4.5d0*gm(1,1)*gm(1,2)*d2gm(3,3)
407    cm(7,3)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,2)-3*gm(2,2)*dgm01(2,3)&
408 &   *dgm10(1,3)-3*gm(1,3)*dgm01(2,3)*dgm10(2,2)-1.5d0*gm(1,2)*dgm01(3,3)&
409 &   *dgm10(2,2)-3*gm(2,2)*dgm01(1,3)*dgm10(2,3)-3*gm(1,3)*dgm01(2,2)&
410 &   *dgm10(2,3)+15*gm(1,2)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,2)&
411 &   *dgm10(3,3)-1.5d0*gm(1,2)*dgm01(2,2)*dgm10(3,3)+7.5d0*gm(2,3)&
412 &   **2*d2gm(1,2)-1.5d0*gm(3,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)&
413 &   *dgm10(2,2)+gm(2,2)*d2gm(1,2)+gm(1,2)*d2gm(2,2))-3*gm(1,3)*gm(2,2)&
414 &   *d2gm(2,3)+gm(2,3)*(15*dgm01(2,3)*dgm10(1,2)-3*dgm01(2,2)*dgm10(1,3)&
415 &   -3*dgm01(1,3)*dgm10(2,2)+15*dgm01(1,2)*dgm10(2,3)-3*gm(2,2)*d2gm(1,3)&
416 &   -3*gm(1,3)*d2gm(2,2)+15*gm(1,2)*d2gm(2,3))-1.5d0*gm(1,2)*gm(2,2)&
417 &   *d2gm(3,3)
418    cm(8,3)=3*gm(1,3)*dgm01(3,3)*dgm10(2,3)+3*gm(1,3)*dgm01(2,3)&
419 &   *dgm10(3,3)+12*gm(1,2)*dgm01(3,3)*dgm10(3,3)+6*gm(3,3)**2*d2gm(1,2)&
420 &   +gm(3,3)*(12*dgm01(3,3)*dgm10(1,2)+3*dgm01(2,3)*dgm10(1,3)+3*dgm01(1,3)&
421 &   *dgm10(2,3)+12*dgm01(1,2)*dgm10(3,3)+3*gm(2,3)*d2gm(1,3)+3*gm(1,3)&
422 &   *d2gm(2,3)+12*gm(1,2)*d2gm(3,3))+3*gm(2,3)*(dgm01(3,3)*dgm10(1,3)&
423 &   +dgm01(1,3)*dgm10(3,3)+gm(1,3)*d2gm(3,3))
424    cm(9,3)=-4.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,3)-4.5d0*gm(1,3)*dgm01(3,3)&
425 &   *dgm10(2,2)+3*gm(1,3)*dgm01(2,3)*dgm10(2,3)+12*gm(1,2)*dgm01(3,3)&
426 &   *dgm10(2,3)-4.5d0*gm(2,2)*dgm01(1,3)*dgm10(3,3)-4.5d0*gm(1,3)&
427 &   *dgm01(2,2)*dgm10(3,3)+12*gm(1,2)*dgm01(2,3)*dgm10(3,3)+1.5d0*gm(2,3)&
428 &   **2*d2gm(1,3)+gm(3,3)*(12*dgm01(2,3)*dgm10(1,2)-4.5d0*dgm01(2,2)&
429 &   *dgm10(1,3)-4.5d0*dgm01(1,3)*dgm10(2,2)+12*dgm01(1,2)*dgm10(2,3)&
430 &   +12*gm(2,3)*d2gm(1,2)-4.5d0*gm(2,2)*d2gm(1,3)-4.5d0*gm(1,3)*d2gm(2,2)&
431 &   +12*gm(1,2)*d2gm(2,3))-4.5d0*gm(1,3)*gm(2,2)*d2gm(3,3)+gm(2,3)&
432 &   *(12*dgm01(3,3)*dgm10(1,2)+3*dgm01(2,3)*dgm10(1,3)+3*dgm01(1,3)&
433 &   *dgm10(2,3)+12*dgm01(1,2)*dgm10(3,3)+3*gm(1,3)*d2gm(2,3)+12*gm(1,2)&
434 &   *d2gm(3,3))
435    cm(10,3)=6*gm(1,3)*dgm01(3,3)*dgm10(3,3)+3*gm(3,3)**2*d2gm(1,3)&
436 &   +6*gm(3,3)*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3)+gm(1,3)&
437 &   *d2gm(3,3))
438    cm(1,4)=9*gm(1,2)*dgm01(1,3)*dgm10(1,1)-6*gm(1,1)*dgm01(2,3)&
439 &   *dgm10(1,1)+9*gm(1,1)*dgm01(1,3)*dgm10(1,2)+9*gm(1,2)*dgm01(1,1)&
440 &   *dgm10(1,3)+9*gm(1,1)*dgm01(1,2)*dgm10(1,3)-6*gm(1,1)*dgm01(1,1)&
441 &   *dgm10(2,3)-6*gm(2,3)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
442 &   +9*gm(1,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
443 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))+9*gm(1,1)*gm(1,2)*d2gm(1,3)-3*gm(1,1)&
444 &   **2*d2gm(2,3)
445    cm(2,4)=3*gm(1,3)*dgm01(2,2)*dgm10(1,2)+6*gm(1,2)*dgm01(2,3)&
446 &   *dgm10(1,2)+3*gm(1,2)*dgm01(2,2)*dgm10(1,3)+3*gm(1,3)*dgm01(1,2)&
447 &   *dgm10(2,2)+3*gm(1,2)*dgm01(1,3)*dgm10(2,2)+12*gm(1,1)*dgm01(2,3)&
448 &   *dgm10(2,2)+6*gm(1,2)*dgm01(1,2)*dgm10(2,3)+12*gm(1,1)*dgm01(2,2)&
449 &   *dgm10(2,3)+3*gm(1,2)*gm(1,3)*d2gm(2,2)+gm(2,3)*(12*dgm01(2,2)&
450 &   *dgm10(1,1)+6*dgm01(1,2)*dgm10(1,2)+12*dgm01(1,1)*dgm10(2,2)&
451 &   +12*gm(2,2)*d2gm(1,1)+6*gm(1,2)*d2gm(1,2)+12*gm(1,1)*d2gm(2,2))&
452 &   +3*gm(1,2)**2*d2gm(2,3)+gm(2,2)*(12*dgm01(2,3)*dgm10(1,1)+3*dgm01(1,3)&
453 &   *dgm10(1,2)+3*dgm01(1,2)*dgm10(1,3)+12*dgm01(1,1)*dgm10(2,3)&
454 &   +3*gm(1,3)*d2gm(1,2)+3*gm(1,2)*d2gm(1,3)+12*gm(1,1)*d2gm(2,3))
455    cm(3,4)=3*gm(1,3)*dgm01(3,3)*dgm10(1,2)+6*gm(1,3)*dgm01(2,3)&
456 &   *dgm10(1,3)+3*gm(1,2)*dgm01(3,3)*dgm10(1,3)+6*gm(1,3)*dgm01(1,3)&
457 &   *dgm10(2,3)+12*gm(1,1)*dgm01(3,3)*dgm10(2,3)+3*gm(1,3)*dgm01(1,2)&
458 &   *dgm10(3,3)+3*gm(1,2)*dgm01(1,3)*dgm10(3,3)+12*gm(1,1)*dgm01(2,3)&
459 &   *dgm10(3,3)+3*gm(1,3)**2*d2gm(2,3)+gm(3,3)*(12*dgm01(2,3)*dgm10(1,1)&
460 &   +3*dgm01(1,3)*dgm10(1,2)+3*dgm01(1,2)*dgm10(1,3)+12*dgm01(1,1)&
461 &   *dgm10(2,3)+12*gm(2,3)*d2gm(1,1)+3*gm(1,3)*d2gm(1,2)+3*gm(1,2)&
462 &   *d2gm(1,3)+12*gm(1,1)*d2gm(2,3))+3*gm(1,2)*gm(1,3)*d2gm(3,3)&
463 &   +gm(2,3)*(12*dgm01(3,3)*dgm10(1,1)+6*dgm01(1,3)*dgm10(1,3)+12*dgm01(1,1)&
464 &   *dgm10(3,3)+6*gm(1,3)*d2gm(1,3)+12*gm(1,1)*d2gm(3,3))
465    cm(4,4)=15*gm(2,2)*dgm01(3,3)*dgm10(1,1)-6*gm(1,3)*dgm01(2,3)&
466 &   *dgm10(1,2)+18*gm(1,2)*dgm01(3,3)*dgm10(1,2)+18*gm(2,2)*dgm01(1,3)&
467 &   *dgm10(1,3)+18*gm(1,3)*dgm01(2,2)*dgm10(1,3)-6*gm(1,2)*dgm01(2,3)&
468 &   *dgm10(1,3)+18*gm(1,3)*dgm01(1,3)*dgm10(2,2)+15*gm(1,1)*dgm01(3,3)&
469 &   *dgm10(2,2)-6*gm(1,3)*dgm01(1,2)*dgm10(2,3)-6*gm(1,2)*dgm01(1,3)&
470 &   *dgm10(2,3)+18*gm(1,1)*dgm01(2,3)*dgm10(2,3)+15*gm(2,2)*dgm01(1,1)&
471 &   *dgm10(3,3)+18*gm(1,2)*dgm01(1,2)*dgm10(3,3)+15*gm(1,1)*dgm01(2,2)&
472 &   *dgm10(3,3)+9*gm(2,3)**2*d2gm(1,1)+18*gm(1,3)*gm(2,2)*d2gm(1,3)&
473 &   +9*gm(1,3)**2*d2gm(2,2)+gm(3,3)*(15*dgm01(2,2)*dgm10(1,1)+18*dgm01(1,2)&
474 &   *dgm10(1,2)+15*dgm01(1,1)*dgm10(2,2)+15*gm(2,2)*d2gm(1,1)+18*gm(1,2)&
475 &   *d2gm(1,2)+15*gm(1,1)*d2gm(2,2))-6*gm(1,2)*gm(1,3)*d2gm(2,3)&
476 &   +gm(2,3)*(18*dgm01(2,3)*dgm10(1,1)-6*dgm01(1,3)*dgm10(1,2)-6*dgm01(1,2)&
477 &   *dgm10(1,3)+18*dgm01(1,1)*dgm10(2,3)-6*gm(1,3)*d2gm(1,2)-6*gm(1,2)&
478 &   *d2gm(1,3)+18*gm(1,1)*d2gm(2,3))+9*gm(1,2)**2*d2gm(3,3)+15*gm(1,1)&
479 &   *gm(2,2)*d2gm(3,3)
480    cm(5,4)=3*gm(1,3)*dgm01(2,3)*dgm10(1,1)+12*gm(1,2)*dgm01(3,3)&
481 &   *dgm10(1,1)+6*gm(1,3)*dgm01(1,3)*dgm10(1,2)+12*gm(1,1)*dgm01(3,3)&
482 &   *dgm10(1,2)+6*gm(1,3)*dgm01(1,2)*dgm10(1,3)+6*gm(1,2)*dgm01(1,3)&
483 &   *dgm10(1,3)+3*gm(1,1)*dgm01(2,3)*dgm10(1,3)+3*gm(1,3)*dgm01(1,1)&
484 &   *dgm10(2,3)+3*gm(1,1)*dgm01(1,3)*dgm10(2,3)+12*gm(1,2)*dgm01(1,1)&
485 &   *dgm10(3,3)+12*gm(1,1)*dgm01(1,2)*dgm10(3,3)+3*gm(1,3)**2*d2gm(1,2)&
486 &   +12*gm(3,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
487 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))+6*gm(1,2)*gm(1,3)*d2gm(1,3)+3*gm(2,3)&
488 &   *(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)+gm(1,3)*d2gm(1,1)&
489 &   +gm(1,1)*d2gm(1,3))+3*gm(1,1)*gm(1,3)*d2gm(2,3)+12*gm(1,1)*gm(1,2)&
490 &   *d2gm(3,3)
491    cm(6,4)=12*gm(1,3)*dgm01(2,2)*dgm10(1,1)+3*gm(1,2)*dgm01(2,3)&
492 &   *dgm10(1,1)+6*gm(1,3)*dgm01(1,2)*dgm10(1,2)+6*gm(1,2)*dgm01(1,3)&
493 &   *dgm10(1,2)+3*gm(1,1)*dgm01(2,3)*dgm10(1,2)+6*gm(1,2)*dgm01(1,2)&
494 &   *dgm10(1,3)+12*gm(1,1)*dgm01(2,2)*dgm10(1,3)+12*gm(1,3)*dgm01(1,1)&
495 &   *dgm10(2,2)+12*gm(1,1)*dgm01(1,3)*dgm10(2,2)+3*gm(1,2)*dgm01(1,1)&
496 &   *dgm10(2,3)+3*gm(1,1)*dgm01(1,2)*dgm10(2,3)+6*gm(1,2)*gm(1,3)&
497 &   *d2gm(1,2)+3*gm(2,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)&
498 &   +gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+3*gm(1,2)**2*d2gm(1,3)&
499 &   +12*gm(2,2)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)+gm(1,3)&
500 &   *d2gm(1,1)+gm(1,1)*d2gm(1,3))+12*gm(1,1)*gm(1,3)*d2gm(2,2)+3*gm(1,1)&
501 &   *gm(1,2)*d2gm(2,3)
502    cm(7,4)=-6*gm(1,3)*dgm01(2,2)*dgm10(2,2)+9*gm(1,2)*dgm01(2,3)&
503 &   *dgm10(2,2)+9*gm(1,2)*dgm01(2,2)*dgm10(2,3)-3*gm(2,2)**2*d2gm(1,3)&
504 &   +9*gm(2,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
505 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))+gm(2,2)*(9*dgm01(2,3)*dgm10(1,2)&
506 &   -6*dgm01(2,2)*dgm10(1,3)-6*dgm01(1,3)*dgm10(2,2)+9*dgm01(1,2)&
507 &   *dgm10(2,3)-6*gm(1,3)*d2gm(2,2)+9*gm(1,2)*d2gm(2,3))
508    cm(8,4)=12*gm(2,2)*dgm01(3,3)*dgm10(1,3)+12*gm(1,3)*dgm01(3,3)&
509 &   *dgm10(2,2)+6*gm(1,3)*dgm01(2,3)*dgm10(2,3)+3*gm(1,2)*dgm01(3,3)&
510 &   *dgm10(2,3)+12*gm(2,2)*dgm01(1,3)*dgm10(3,3)+12*gm(1,3)*dgm01(2,2)&
511 &   *dgm10(3,3)+3*gm(1,2)*dgm01(2,3)*dgm10(3,3)+3*gm(2,3)**2*d2gm(1,3)&
512 &   +gm(3,3)*(3*dgm01(2,3)*dgm10(1,2)+12*dgm01(2,2)*dgm10(1,3)+12*dgm01(1,3)&
513 &   *dgm10(2,2)+3*dgm01(1,2)*dgm10(2,3)+3*gm(2,3)*d2gm(1,2)+12*gm(2,2)&
514 &   *d2gm(1,3)+12*gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3))+12*gm(1,3)&
515 &   *gm(2,2)*d2gm(3,3)+gm(2,3)*(3*dgm01(3,3)*dgm10(1,2)+6*dgm01(2,3)&
516 &   *dgm10(1,3)+6*dgm01(1,3)*dgm10(2,3)+3*dgm01(1,2)*dgm10(3,3)+6*gm(1,3)&
517 &   *d2gm(2,3)+3*gm(1,2)*d2gm(3,3))
518    cm(9,4)=12*gm(2,2)*dgm01(3,3)*dgm10(1,2)+3*gm(2,2)*dgm01(2,3)&
519 &   *dgm10(1,3)+3*gm(1,3)*dgm01(2,3)*dgm10(2,2)+12*gm(1,2)*dgm01(3,3)&
520 &   *dgm10(2,2)+3*gm(2,2)*dgm01(1,3)*dgm10(2,3)+3*gm(1,3)*dgm01(2,2)&
521 &   *dgm10(2,3)+6*gm(1,2)*dgm01(2,3)*dgm10(2,3)+12*gm(2,2)*dgm01(1,2)&
522 &   *dgm10(3,3)+12*gm(1,2)*dgm01(2,2)*dgm10(3,3)+3*gm(2,3)**2*d2gm(1,2)&
523 &   +12*gm(3,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
524 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))+3*gm(1,3)*gm(2,2)*d2gm(2,3)+gm(2,3)&
525 &   *(6*dgm01(2,3)*dgm10(1,2)+3*dgm01(2,2)*dgm10(1,3)+3*dgm01(1,3)&
526 &   *dgm10(2,2)+6*dgm01(1,2)*dgm10(2,3)+3*gm(2,2)*d2gm(1,3)+3*gm(1,3)&
527 &   *d2gm(2,2)+6*gm(1,2)*d2gm(2,3))+12*gm(1,2)*gm(2,2)*d2gm(3,3)
528    cm(10,4)=9*gm(1,3)*dgm01(3,3)*dgm10(2,3)+9*gm(1,3)*dgm01(2,3)&
529 &   *dgm10(3,3)-6*gm(1,2)*dgm01(3,3)*dgm10(3,3)-3*gm(3,3)**2*d2gm(1,2)&
530 &   +gm(3,3)*(-6*dgm01(3,3)*dgm10(1,2)+9*dgm01(2,3)*dgm10(1,3)+9*dgm01(1,3)&
531 &   *dgm10(2,3)-6*dgm01(1,2)*dgm10(3,3)+9*gm(2,3)*d2gm(1,3)+9*gm(1,3)&
532 &   *d2gm(2,3)-6*gm(1,2)*d2gm(3,3))+9*gm(2,3)*(dgm01(3,3)*dgm10(1,3)&
533 &   +dgm01(1,3)*dgm10(3,3)+gm(1,3)*d2gm(3,3))
534    cm(1,5)=6*gm(1,3)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
535 &   +gm(1,1)*(6*dgm01(1,3)*dgm10(1,1)+6*dgm01(1,1)*dgm10(1,3)+3*gm(1,1)&
536 &   *d2gm(1,3))
537    cm(2,5)=-4.5d0*gm(1,3)*dgm01(2,2)*dgm10(1,1)+12*gm(1,2)*dgm01(2,3)&
538 &   *dgm10(1,1)+3*gm(1,3)*dgm01(1,2)*dgm10(1,2)+3*gm(1,2)*dgm01(1,3)&
539 &   *dgm10(1,2)+12*gm(1,1)*dgm01(2,3)*dgm10(1,2)+3*gm(1,2)*dgm01(1,2)&
540 &   *dgm10(1,3)-4.5d0*gm(1,1)*dgm01(2,2)*dgm10(1,3)-4.5d0*gm(1,3)&
541 &   *dgm01(1,1)*dgm10(2,2)-4.5d0*gm(1,1)*dgm01(1,3)*dgm10(2,2)+12*gm(1,2)&
542 &   *dgm01(1,1)*dgm10(2,3)+12*gm(1,1)*dgm01(1,2)*dgm10(2,3)+3*gm(1,2)&
543 &   *gm(1,3)*d2gm(1,2)+12*gm(2,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
544 &   *dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+1.5d0*gm(1,2)&
545 &   **2*d2gm(1,3)-4.5d0*gm(2,2)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)&
546 &   *dgm10(1,3)+gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))-4.5d0*gm(1,1)&
547 &   *gm(1,3)*d2gm(2,2)+12*gm(1,1)*gm(1,2)*d2gm(2,3)
548    cm(3,5)=7.5d0*gm(1,1)*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3))&
549 &   +4.5d0*gm(1,3)**2*d2gm(1,3)+7.5d0*gm(3,3)*(dgm01(1,3)*dgm10(1,1)&
550 &   +dgm01(1,1)*dgm10(1,3)+gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))+gm(1,3)&
551 &   *(7.5d0*dgm01(3,3)*dgm10(1,1)+9*dgm01(1,3)*dgm10(1,3)+7.5d0*dgm01(1,1)&
552 &   *dgm10(3,3)+7.5d0*gm(1,1)*d2gm(3,3))
553    cm(4,5)=3*gm(1,3)*dgm01(2,3)*dgm10(1,1)+12*gm(1,2)*dgm01(3,3)&
554 &   *dgm10(1,1)+6*gm(1,3)*dgm01(1,3)*dgm10(1,2)+12*gm(1,1)*dgm01(3,3)&
555 &   *dgm10(1,2)+6*gm(1,3)*dgm01(1,2)*dgm10(1,3)+6*gm(1,2)*dgm01(1,3)&
556 &   *dgm10(1,3)+3*gm(1,1)*dgm01(2,3)*dgm10(1,3)+3*gm(1,3)*dgm01(1,1)&
557 &   *dgm10(2,3)+3*gm(1,1)*dgm01(1,3)*dgm10(2,3)+12*gm(1,2)*dgm01(1,1)&
558 &   *dgm10(3,3)+12*gm(1,1)*dgm01(1,2)*dgm10(3,3)+3*gm(1,3)**2*d2gm(1,2)&
559 &   +12*gm(3,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
560 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))+6*gm(1,2)*gm(1,3)*d2gm(1,3)+3*gm(2,3)&
561 &   *(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)+gm(1,3)*d2gm(1,1)&
562 &   +gm(1,1)*d2gm(1,3))+3*gm(1,1)*gm(1,3)*d2gm(2,3)+12*gm(1,1)*gm(1,2)&
563 &   *d2gm(3,3)
564    cm(5,5)=3*gm(1,3)**2*d2gm(1,1)+12*gm(3,3)*(dgm01(1,1)*dgm10(1,1)&
565 &   +gm(1,1)*d2gm(1,1))+6*gm(1,3)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)&
566 &   *dgm10(1,3)+gm(1,1)*d2gm(1,3))+gm(1,1)*(12*dgm01(3,3)*dgm10(1,1)&
567 &   +6*dgm01(1,3)*dgm10(1,3)+12*dgm01(1,1)*dgm10(3,3)+6*gm(1,1)*d2gm(3,3))
568    cm(6,5)=3*gm(1,2)*dgm01(1,3)*dgm10(1,1)+12*gm(1,1)*dgm01(2,3)&
569 &   *dgm10(1,1)+3*gm(1,1)*dgm01(1,3)*dgm10(1,2)+3*gm(1,2)*dgm01(1,1)&
570 &   *dgm10(1,3)+3*gm(1,1)*dgm01(1,2)*dgm10(1,3)+12*gm(1,1)*dgm01(1,1)&
571 &   *dgm10(2,3)+12*gm(2,3)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
572 &   +3*gm(1,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
573 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))+3*gm(1,1)*gm(1,2)*d2gm(1,3)+6*gm(1,1)&
574 &   **2*d2gm(2,3)
575    cm(7,5)=(-36*gm(1,3)*dgm01(2,2)*dgm10(1,2)+180*gm(1,2)*dgm01(2,3)&
576 &   *dgm10(1,2)-36*gm(1,2)*dgm01(2,2)*dgm10(1,3)-36*gm(1,3)*dgm01(1,2)&
577 &   *dgm10(2,2)-36*gm(1,2)*dgm01(1,3)*dgm10(2,2)-18*gm(1,1)*dgm01(2,3)&
578 &   *dgm10(2,2)+180*gm(1,2)*dgm01(1,2)*dgm10(2,3)-18*gm(1,1)*dgm01(2,2)&
579 &   *dgm10(2,3)-36*gm(1,2)*gm(1,3)*d2gm(2,2)+gm(2,3)*(-18*dgm01(2,2)&
580 &   *dgm10(1,1)+180*dgm01(1,2)*dgm10(1,2)-18*dgm01(1,1)*dgm10(2,2)&
581 &   -18*gm(2,2)*d2gm(1,1)+180*gm(1,2)*d2gm(1,2)-18*gm(1,1)*d2gm(2,2))&
582 &   +90*gm(1,2)**2*d2gm(2,3)+gm(2,2)*(-18*dgm01(2,3)*dgm10(1,1)-36*dgm01(1,3)&
583 &   *dgm10(1,2)-36*dgm01(1,2)*dgm10(1,3)-18*dgm01(1,1)*dgm10(2,3)&
584 &   -36*gm(1,3)*d2gm(1,2)-36*gm(1,2)*d2gm(1,3)-18*gm(1,1)*d2gm(2,3)))&
585 &   /12.d0
586    cm(8,5)=12*gm(1,3)*dgm01(3,3)*dgm10(1,2)+3*gm(1,3)*dgm01(2,3)&
587 &   *dgm10(1,3)+12*gm(1,2)*dgm01(3,3)*dgm10(1,3)+3*gm(1,3)*dgm01(1,3)&
588 &   *dgm10(2,3)-4.5d0*gm(1,1)*dgm01(3,3)*dgm10(2,3)+12*gm(1,3)*dgm01(1,2)&
589 &   *dgm10(3,3)+12*gm(1,2)*dgm01(1,3)*dgm10(3,3)-4.5d0*gm(1,1)*dgm01(2,3)&
590 &   *dgm10(3,3)+1.5d0*gm(1,3)**2*d2gm(2,3)+gm(3,3)*(-4.5d0*dgm01(2,3)&
591 &   *dgm10(1,1)+12*dgm01(1,3)*dgm10(1,2)+12*dgm01(1,2)*dgm10(1,3)&
592 &   -4.5d0*dgm01(1,1)*dgm10(2,3)-4.5d0*gm(2,3)*d2gm(1,1)+12*gm(1,3)&
593 &   *d2gm(1,2)+12*gm(1,2)*d2gm(1,3)-4.5d0*gm(1,1)*d2gm(2,3))+12*gm(1,2)&
594 &   *gm(1,3)*d2gm(3,3)+gm(2,3)*(-4.5d0*dgm01(3,3)*dgm10(1,1)+3*dgm01(1,3)&
595 &   *dgm10(1,3)-4.5d0*dgm01(1,1)*dgm10(3,3)+3*gm(1,3)*d2gm(1,3)-4.5d0*gm(1,1)&
596 &   *d2gm(3,3))
597    cm(9,5)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,1)+9*gm(1,3)*dgm01(2,3)&
598 &   *dgm10(1,2)+15*gm(1,2)*dgm01(3,3)*dgm10(1,2)-6*gm(2,2)*dgm01(1,3)&
599 &   *dgm10(1,3)-6*gm(1,3)*dgm01(2,2)*dgm10(1,3)+9*gm(1,2)*dgm01(2,3)&
600 &   *dgm10(1,3)-6*gm(1,3)*dgm01(1,3)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(3,3)&
601 &   *dgm10(2,2)+9*gm(1,3)*dgm01(1,2)*dgm10(2,3)+9*gm(1,2)*dgm01(1,3)&
602 &   *dgm10(2,3)-6*gm(1,1)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,1)&
603 &   *dgm10(3,3)+15*gm(1,2)*dgm01(1,2)*dgm10(3,3)-1.5d0*gm(1,1)*dgm01(2,2)&
604 &   *dgm10(3,3)-3*gm(2,3)**2*d2gm(1,1)-6*gm(1,3)*gm(2,2)*d2gm(1,3)&
605 &   -3*gm(1,3)**2*d2gm(2,2)+gm(3,3)*(-1.5d0*dgm01(2,2)*dgm10(1,1)&
606 &   +15*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(2,2)&
607 &   *d2gm(1,1)+15*gm(1,2)*d2gm(1,2)-1.5d0*gm(1,1)*d2gm(2,2))+9*gm(1,2)&
608 &   *gm(1,3)*d2gm(2,3)+gm(2,3)*(-6*dgm01(2,3)*dgm10(1,1)+9*dgm01(1,3)&
609 &   *dgm10(1,2)+9*dgm01(1,2)*dgm10(1,3)-6*dgm01(1,1)*dgm10(2,3)+9*gm(1,3)&
610 &   *d2gm(1,2)+9*gm(1,2)*d2gm(1,3)-6*gm(1,1)*d2gm(2,3))+7.5d0*gm(1,2)&
611 &   **2*d2gm(3,3)-1.5d0*gm(1,1)*gm(2,2)*d2gm(3,3)
612    cm(10,5)=-3*gm(1,1)*dgm01(3,3)*dgm10(3,3)+9*gm(1,3)*(dgm01(3,3)&
613 &   *dgm10(1,3)+dgm01(1,3)*dgm10(3,3))-1.5d0*gm(3,3)**2*d2gm(1,1)&
614 &   +4.5d0*gm(1,3)**2*d2gm(3,3)+gm(3,3)*(-3*dgm01(3,3)*dgm10(1,1)&
615 &   +9*dgm01(1,3)*dgm10(1,3)-3*dgm01(1,1)*dgm10(3,3)+9*gm(1,3)*d2gm(1,3)&
616 &   -3*gm(1,1)*d2gm(3,3))
617    cm(1,6)=6*gm(1,2)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
618 &   +gm(1,1)*(6*dgm01(1,2)*dgm10(1,1)+6*dgm01(1,1)*dgm10(1,2)+3*gm(1,1)&
619 &   *d2gm(1,2))
620    cm(2,6)=7.5d0*gm(1,1)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2))&
621 &   +4.5d0*gm(1,2)**2*d2gm(1,2)+7.5d0*gm(2,2)*(dgm01(1,2)*dgm10(1,1)&
622 &   +dgm01(1,1)*dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+gm(1,2)&
623 &   *(7.5d0*dgm01(2,2)*dgm10(1,1)+9*dgm01(1,2)*dgm10(1,2)+7.5d0*dgm01(1,1)&
624 &   *dgm10(2,2)+7.5d0*gm(1,1)*d2gm(2,2))
625    cm(3,6)=12*gm(1,3)*dgm01(2,3)*dgm10(1,1)-4.5d0*gm(1,2)*dgm01(3,3)&
626 &   *dgm10(1,1)+3*gm(1,3)*dgm01(1,3)*dgm10(1,2)-4.5d0*gm(1,1)*dgm01(3,3)&
627 &   *dgm10(1,2)+3*gm(1,3)*dgm01(1,2)*dgm10(1,3)+3*gm(1,2)*dgm01(1,3)&
628 &   *dgm10(1,3)+12*gm(1,1)*dgm01(2,3)*dgm10(1,3)+12*gm(1,3)*dgm01(1,1)&
629 &   *dgm10(2,3)+12*gm(1,1)*dgm01(1,3)*dgm10(2,3)-4.5d0*gm(1,2)*dgm01(1,1)&
630 &   *dgm10(3,3)-4.5d0*gm(1,1)*dgm01(1,2)*dgm10(3,3)+1.5d0*gm(1,3)&
631 &   **2*d2gm(1,2)-4.5d0*gm(3,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
632 &   *dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+3*gm(1,2)*gm(1,3)&
633 &   *d2gm(1,3)+12*gm(2,3)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)&
634 &   +gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))+12*gm(1,1)*gm(1,3)*d2gm(2,3)&
635 &   -4.5d0*gm(1,1)*gm(1,2)*d2gm(3,3)
636    cm(4,6)=12*gm(1,3)*dgm01(2,2)*dgm10(1,1)+3*gm(1,2)*dgm01(2,3)&
637 &   *dgm10(1,1)+6*gm(1,3)*dgm01(1,2)*dgm10(1,2)+6*gm(1,2)*dgm01(1,3)&
638 &   *dgm10(1,2)+3*gm(1,1)*dgm01(2,3)*dgm10(1,2)+6*gm(1,2)*dgm01(1,2)&
639 &   *dgm10(1,3)+12*gm(1,1)*dgm01(2,2)*dgm10(1,3)+12*gm(1,3)*dgm01(1,1)&
640 &   *dgm10(2,2)+12*gm(1,1)*dgm01(1,3)*dgm10(2,2)+3*gm(1,2)*dgm01(1,1)&
641 &   *dgm10(2,3)+3*gm(1,1)*dgm01(1,2)*dgm10(2,3)+6*gm(1,2)*gm(1,3)&
642 &   *d2gm(1,2)+3*gm(2,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)&
643 &   +gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+3*gm(1,2)**2*d2gm(1,3)&
644 &   +12*gm(2,2)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)+gm(1,3)&
645 &   *d2gm(1,1)+gm(1,1)*d2gm(1,3))+12*gm(1,1)*gm(1,3)*d2gm(2,2)+3*gm(1,1)&
646 &   *gm(1,2)*d2gm(2,3)
647    cm(5,6)=3*gm(1,2)*dgm01(1,3)*dgm10(1,1)+12*gm(1,1)*dgm01(2,3)&
648 &   *dgm10(1,1)+3*gm(1,1)*dgm01(1,3)*dgm10(1,2)+3*gm(1,2)*dgm01(1,1)&
649 &   *dgm10(1,3)+3*gm(1,1)*dgm01(1,2)*dgm10(1,3)+12*gm(1,1)*dgm01(1,1)&
650 &   *dgm10(2,3)+12*gm(2,3)*(dgm01(1,1)*dgm10(1,1)+gm(1,1)*d2gm(1,1))&
651 &   +3*gm(1,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)+gm(1,2)&
652 &   *d2gm(1,1)+gm(1,1)*d2gm(1,2))+3*gm(1,1)*gm(1,2)*d2gm(1,3)+6*gm(1,1)&
653 &   **2*d2gm(2,3)
654    cm(6,6)=3*gm(1,2)**2*d2gm(1,1)+12*gm(2,2)*(dgm01(1,1)*dgm10(1,1)&
655 &   +gm(1,1)*d2gm(1,1))+6*gm(1,2)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
656 &   *dgm10(1,2)+gm(1,1)*d2gm(1,2))+gm(1,1)*(12*dgm01(2,2)*dgm10(1,1)&
657 &   +6*dgm01(1,2)*dgm10(1,2)+12*dgm01(1,1)*dgm10(2,2)+6*gm(1,1)*d2gm(2,2))
658    cm(7,6)=-3*gm(1,1)*dgm01(2,2)*dgm10(2,2)+9*gm(1,2)*(dgm01(2,2)&
659 &   *dgm10(1,2)+dgm01(1,2)*dgm10(2,2))-1.5d0*gm(2,2)**2*d2gm(1,1)&
660 &   +4.5d0*gm(1,2)**2*d2gm(2,2)+gm(2,2)*(-3*dgm01(2,2)*dgm10(1,1)&
661 &   +9*dgm01(1,2)*dgm10(1,2)-3*dgm01(1,1)*dgm10(2,2)+9*gm(1,2)*d2gm(1,2)&
662 &   -3*gm(1,1)*d2gm(2,2))
663    cm(8,6)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,1)+9*gm(1,3)*dgm01(2,3)&
664 &   *dgm10(1,2)-6*gm(1,2)*dgm01(3,3)*dgm10(1,2)+15*gm(2,2)*dgm01(1,3)&
665 &   *dgm10(1,3)+15*gm(1,3)*dgm01(2,2)*dgm10(1,3)+9*gm(1,2)*dgm01(2,3)&
666 &   *dgm10(1,3)+15*gm(1,3)*dgm01(1,3)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(3,3)&
667 &   *dgm10(2,2)+9*gm(1,3)*dgm01(1,2)*dgm10(2,3)+9*gm(1,2)*dgm01(1,3)&
668 &   *dgm10(2,3)-6*gm(1,1)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,1)&
669 &   *dgm10(3,3)-6*gm(1,2)*dgm01(1,2)*dgm10(3,3)-1.5d0*gm(1,1)*dgm01(2,2)&
670 &   *dgm10(3,3)-3*gm(2,3)**2*d2gm(1,1)+15*gm(1,3)*gm(2,2)*d2gm(1,3)&
671 &   +7.5d0*gm(1,3)**2*d2gm(2,2)+gm(3,3)*(-1.5d0*dgm01(2,2)*dgm10(1,1)&
672 &   -6*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(2,2)&
673 &   *d2gm(1,1)-6*gm(1,2)*d2gm(1,2)-1.5d0*gm(1,1)*d2gm(2,2))+9*gm(1,2)&
674 &   *gm(1,3)*d2gm(2,3)+gm(2,3)*(-6*dgm01(2,3)*dgm10(1,1)+9*dgm01(1,3)&
675 &   *dgm10(1,2)+9*dgm01(1,2)*dgm10(1,3)-6*dgm01(1,1)*dgm10(2,3)+9*gm(1,3)&
676 &   *d2gm(1,2)+9*gm(1,2)*d2gm(1,3)-6*gm(1,1)*d2gm(2,3))-3*gm(1,2)&
677 &   **2*d2gm(3,3)-1.5d0*gm(1,1)*gm(2,2)*d2gm(3,3)
678    cm(9,6)=12*gm(1,3)*dgm01(2,2)*dgm10(1,2)+3*gm(1,2)*dgm01(2,3)&
679 &   *dgm10(1,2)+12*gm(1,2)*dgm01(2,2)*dgm10(1,3)+12*gm(1,3)*dgm01(1,2)&
680 &   *dgm10(2,2)+12*gm(1,2)*dgm01(1,3)*dgm10(2,2)-4.5d0*gm(1,1)*dgm01(2,3)&
681 &   *dgm10(2,2)+3*gm(1,2)*dgm01(1,2)*dgm10(2,3)-4.5d0*gm(1,1)*dgm01(2,2)&
682 &   *dgm10(2,3)+12*gm(1,2)*gm(1,3)*d2gm(2,2)+gm(2,3)*(-4.5d0*dgm01(2,2)&
683 &   *dgm10(1,1)+3*dgm01(1,2)*dgm10(1,2)-4.5d0*dgm01(1,1)*dgm10(2,2)&
684 &   -4.5d0*gm(2,2)*d2gm(1,1)+3*gm(1,2)*d2gm(1,2)-4.5d0*gm(1,1)*d2gm(2,2))&
685 &   +1.5d0*gm(1,2)**2*d2gm(2,3)+gm(2,2)*(-4.5d0*dgm01(2,3)*dgm10(1,1)&
686 &   +12*dgm01(1,3)*dgm10(1,2)+12*dgm01(1,2)*dgm10(1,3)-4.5d0*dgm01(1,1)&
687 &   *dgm10(2,3)+12*gm(1,3)*d2gm(1,2)+12*gm(1,2)*d2gm(1,3)-4.5d0*gm(1,1)&
688 &   *d2gm(2,3))
689    cm(10,6)=(-36*gm(1,3)*dgm01(3,3)*dgm10(1,2)+180*gm(1,3)*dgm01(2,3)&
690 &   *dgm10(1,3)-36*gm(1,2)*dgm01(3,3)*dgm10(1,3)+180*gm(1,3)*dgm01(1,3)&
691 &   *dgm10(2,3)-18*gm(1,1)*dgm01(3,3)*dgm10(2,3)-36*gm(1,3)*dgm01(1,2)&
692 &   *dgm10(3,3)-36*gm(1,2)*dgm01(1,3)*dgm10(3,3)-18*gm(1,1)*dgm01(2,3)&
693 &   *dgm10(3,3)+90*gm(1,3)**2*d2gm(2,3)+gm(3,3)*(-18*dgm01(2,3)*dgm10(1,1)&
694 &   -36*dgm01(1,3)*dgm10(1,2)-36*dgm01(1,2)*dgm10(1,3)-18*dgm01(1,1)&
695 &   *dgm10(2,3)-18*gm(2,3)*d2gm(1,1)-36*gm(1,3)*d2gm(1,2)-36*gm(1,2)&
696 &   *d2gm(1,3)-18*gm(1,1)*d2gm(2,3))-36*gm(1,2)*gm(1,3)*d2gm(3,3)&
697 &   +gm(2,3)*(-18*dgm01(3,3)*dgm10(1,1)+180*dgm01(1,3)*dgm10(1,3)&
698 &   -18*dgm01(1,1)*dgm10(3,3)+180*gm(1,3)*d2gm(1,3)-18*gm(1,1)*d2gm(3,3)))&
699 &   /12.d0
700    cm(1,7)=-1.5d0*gm(1,1)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2))&
701 &   +7.5d0*gm(1,2)**2*d2gm(1,2)-1.5d0*gm(2,2)*(dgm01(1,2)*dgm10(1,1)&
702 &   +dgm01(1,1)*dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+gm(1,2)&
703 &   *(-1.5d0*dgm01(2,2)*dgm10(1,1)+15*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)&
704 &   *dgm10(2,2)-1.5d0*gm(1,1)*d2gm(2,2))
705    cm(2,7)=6*gm(1,2)*dgm01(2,2)*dgm10(2,2)+3*gm(2,2)**2*d2gm(1,2)&
706 &   +6*gm(2,2)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(1,2)&
707 &   *d2gm(2,2))
708    cm(3,7)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,2)-3*gm(2,2)*dgm01(2,3)&
709 &   *dgm10(1,3)-3*gm(1,3)*dgm01(2,3)*dgm10(2,2)-1.5d0*gm(1,2)*dgm01(3,3)&
710 &   *dgm10(2,2)-3*gm(2,2)*dgm01(1,3)*dgm10(2,3)-3*gm(1,3)*dgm01(2,2)&
711 &   *dgm10(2,3)+15*gm(1,2)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,2)&
712 &   *dgm10(3,3)-1.5d0*gm(1,2)*dgm01(2,2)*dgm10(3,3)+7.5d0*gm(2,3)&
713 &   **2*d2gm(1,2)-1.5d0*gm(3,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)&
714 &   *dgm10(2,2)+gm(2,2)*d2gm(1,2)+gm(1,2)*d2gm(2,2))-3*gm(1,3)*gm(2,2)&
715 &   *d2gm(2,3)+gm(2,3)*(15*dgm01(2,3)*dgm10(1,2)-3*dgm01(2,2)*dgm10(1,3)&
716 &   -3*dgm01(1,3)*dgm10(2,2)+15*dgm01(1,2)*dgm10(2,3)-3*gm(2,2)*d2gm(1,3)&
717 &   -3*gm(1,3)*d2gm(2,2)+15*gm(1,2)*d2gm(2,3))-1.5d0*gm(1,2)*gm(2,2)&
718 &   *d2gm(3,3)
719    cm(4,7)=-6*gm(1,3)*dgm01(2,2)*dgm10(2,2)+9*gm(1,2)*dgm01(2,3)&
720 &   *dgm10(2,2)+9*gm(1,2)*dgm01(2,2)*dgm10(2,3)-3*gm(2,2)**2*d2gm(1,3)&
721 &   +9*gm(2,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
722 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))+gm(2,2)*(9*dgm01(2,3)*dgm10(1,2)&
723 &   -6*dgm01(2,2)*dgm10(1,3)-6*dgm01(1,3)*dgm10(2,2)+9*dgm01(1,2)&
724 &   *dgm10(2,3)-6*gm(1,3)*d2gm(2,2)+9*gm(1,2)*d2gm(2,3))
725    cm(5,7)=-3*gm(1,3)*dgm01(2,2)*dgm10(1,2)+15*gm(1,2)*dgm01(2,3)&
726 &   *dgm10(1,2)-3*gm(1,2)*dgm01(2,2)*dgm10(1,3)-3*gm(1,3)*dgm01(1,2)&
727 &   *dgm10(2,2)-3*gm(1,2)*dgm01(1,3)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(2,3)&
728 &   *dgm10(2,2)+15*gm(1,2)*dgm01(1,2)*dgm10(2,3)-1.5d0*gm(1,1)*dgm01(2,2)&
729 &   *dgm10(2,3)-3*gm(1,2)*gm(1,3)*d2gm(2,2)+gm(2,3)*(-1.5d0*dgm01(2,2)&
730 &   *dgm10(1,1)+15*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)*dgm10(2,2)&
731 &   -1.5d0*gm(2,2)*d2gm(1,1)+15*gm(1,2)*d2gm(1,2)-1.5d0*gm(1,1)*d2gm(2,2))&
732 &   +7.5d0*gm(1,2)**2*d2gm(2,3)+gm(2,2)*(-1.5d0*dgm01(2,3)*dgm10(1,1)&
733 &   -3*dgm01(1,3)*dgm10(1,2)-3*dgm01(1,2)*dgm10(1,3)-1.5d0*dgm01(1,1)&
734 &   *dgm10(2,3)-3*gm(1,3)*d2gm(1,2)-3*gm(1,2)*d2gm(1,3)-1.5d0*gm(1,1)&
735 &   *d2gm(2,3))
736    cm(6,7)=-3*gm(1,1)*dgm01(2,2)*dgm10(2,2)+9*gm(1,2)*(dgm01(2,2)&
737 &   *dgm10(1,2)+dgm01(1,2)*dgm10(2,2))-1.5d0*gm(2,2)**2*d2gm(1,1)&
738 &   +4.5d0*gm(1,2)**2*d2gm(2,2)+gm(2,2)*(-3*dgm01(2,2)*dgm10(1,1)&
739 &   +9*dgm01(1,2)*dgm10(1,2)-3*dgm01(1,1)*dgm10(2,2)+9*gm(1,2)*d2gm(1,2)&
740 &   -3*gm(1,1)*d2gm(2,2))
741    cm(7,7)=gm(2,2)*(6*dgm01(2,2)*dgm10(2,2)+3*gm(2,2)*d2gm(2,2))
742    cm(8,7)=4.5d0*gm(2,3)**2*d2gm(2,2)-3*gm(3,3)*(dgm01(2,2)*dgm10(2,2)&
743 &   +gm(2,2)*d2gm(2,2))+9*gm(2,3)*(dgm01(2,3)*dgm10(2,2)+dgm01(2,2)&
744 &   *dgm10(2,3)+gm(2,2)*d2gm(2,3))+gm(2,2)*(-3*dgm01(3,3)*dgm10(2,2)&
745 &   +9*dgm01(2,3)*dgm10(2,3)-3*dgm01(2,2)*dgm10(3,3)-1.5d0*gm(2,2)&
746 &   *d2gm(3,3))
747    cm(9,7)=6*gm(2,3)*(dgm01(2,2)*dgm10(2,2)+gm(2,2)*d2gm(2,2))&
748 &   +gm(2,2)*(6*dgm01(2,3)*dgm10(2,2)+6*dgm01(2,2)*dgm10(2,3)+3*gm(2,2)&
749 &   *d2gm(2,3))
750    cm(10,7)=-1.5d0*gm(2,2)*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3))&
751 &   +7.5d0*gm(2,3)**2*d2gm(2,3)-1.5d0*gm(3,3)*(dgm01(2,3)*dgm10(2,2)&
752 &   +dgm01(2,2)*dgm10(2,3)+gm(2,3)*d2gm(2,2)+gm(2,2)*d2gm(2,3))+gm(2,3)&
753 &   *(-1.5d0*dgm01(3,3)*dgm10(2,2)+15*dgm01(2,3)*dgm10(2,3)-1.5d0*dgm01(2,2)&
754 &   *dgm10(3,3)-1.5d0*gm(2,2)*d2gm(3,3))
755    cm(1,8)=-3*gm(1,3)*dgm01(2,3)*dgm10(1,1)-1.5d0*gm(1,2)*dgm01(3,3)&
756 &   *dgm10(1,1)+15*gm(1,3)*dgm01(1,3)*dgm10(1,2)-1.5d0*gm(1,1)*dgm01(3,3)&
757 &   *dgm10(1,2)+15*gm(1,3)*dgm01(1,2)*dgm10(1,3)+15*gm(1,2)*dgm01(1,3)&
758 &   *dgm10(1,3)-3*gm(1,1)*dgm01(2,3)*dgm10(1,3)-3*gm(1,3)*dgm01(1,1)&
759 &   *dgm10(2,3)-3*gm(1,1)*dgm01(1,3)*dgm10(2,3)-1.5d0*gm(1,2)*dgm01(1,1)&
760 &   *dgm10(3,3)-1.5d0*gm(1,1)*dgm01(1,2)*dgm10(3,3)+7.5d0*gm(1,3)&
761 &   **2*d2gm(1,2)-1.5d0*gm(3,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)&
762 &   *dgm10(1,2)+gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+15*gm(1,2)*gm(1,3)&
763 &   *d2gm(1,3)-3*gm(2,3)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)&
764 &   +gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))-3*gm(1,1)*gm(1,3)*d2gm(2,3)&
765 &   -1.5d0*gm(1,1)*gm(1,2)*d2gm(3,3)
766    cm(2,8)=-4.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,2)+12*gm(2,2)*dgm01(2,3)&
767 &   *dgm10(1,3)+12*gm(1,3)*dgm01(2,3)*dgm10(2,2)-4.5d0*gm(1,2)*dgm01(3,3)&
768 &   *dgm10(2,2)+12*gm(2,2)*dgm01(1,3)*dgm10(2,3)+12*gm(1,3)*dgm01(2,2)&
769 &   *dgm10(2,3)+3*gm(1,2)*dgm01(2,3)*dgm10(2,3)-4.5d0*gm(2,2)*dgm01(1,2)&
770 &   *dgm10(3,3)-4.5d0*gm(1,2)*dgm01(2,2)*dgm10(3,3)+1.5d0*gm(2,3)&
771 &   **2*d2gm(1,2)-4.5d0*gm(3,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)&
772 &   *dgm10(2,2)+gm(2,2)*d2gm(1,2)+gm(1,2)*d2gm(2,2))+12*gm(1,3)*gm(2,2)&
773 &   *d2gm(2,3)+gm(2,3)*(3*dgm01(2,3)*dgm10(1,2)+12*dgm01(2,2)*dgm10(1,3)&
774 &   +12*dgm01(1,3)*dgm10(2,2)+3*dgm01(1,2)*dgm10(2,3)+12*gm(2,2)&
775 &   *d2gm(1,3)+12*gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3))-4.5d0*gm(1,2)&
776 &   *gm(2,2)*d2gm(3,3)
777    cm(3,8)=3*gm(1,3)*dgm01(3,3)*dgm10(2,3)+3*gm(1,3)*dgm01(2,3)&
778 &   *dgm10(3,3)+12*gm(1,2)*dgm01(3,3)*dgm10(3,3)+6*gm(3,3)**2*d2gm(1,2)&
779 &   +gm(3,3)*(12*dgm01(3,3)*dgm10(1,2)+3*dgm01(2,3)*dgm10(1,3)+3*dgm01(1,3)&
780 &   *dgm10(2,3)+12*dgm01(1,2)*dgm10(3,3)+3*gm(2,3)*d2gm(1,3)+3*gm(1,3)&
781 &   *d2gm(2,3)+12*gm(1,2)*d2gm(3,3))+3*gm(2,3)*(dgm01(3,3)*dgm10(1,3)&
782 &   +dgm01(1,3)*dgm10(3,3)+gm(1,3)*d2gm(3,3))
783    cm(4,8)=12*gm(2,2)*dgm01(3,3)*dgm10(1,3)+12*gm(1,3)*dgm01(3,3)&
784 &   *dgm10(2,2)+6*gm(1,3)*dgm01(2,3)*dgm10(2,3)+3*gm(1,2)*dgm01(3,3)&
785 &   *dgm10(2,3)+12*gm(2,2)*dgm01(1,3)*dgm10(3,3)+12*gm(1,3)*dgm01(2,2)&
786 &   *dgm10(3,3)+3*gm(1,2)*dgm01(2,3)*dgm10(3,3)+3*gm(2,3)**2*d2gm(1,3)&
787 &   +gm(3,3)*(3*dgm01(2,3)*dgm10(1,2)+12*dgm01(2,2)*dgm10(1,3)+12*dgm01(1,3)&
788 &   *dgm10(2,2)+3*dgm01(1,2)*dgm10(2,3)+3*gm(2,3)*d2gm(1,2)+12*gm(2,2)&
789 &   *d2gm(1,3)+12*gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3))+12*gm(1,3)&
790 &   *gm(2,2)*d2gm(3,3)+gm(2,3)*(3*dgm01(3,3)*dgm10(1,2)+6*dgm01(2,3)&
791 &   *dgm10(1,3)+6*dgm01(1,3)*dgm10(2,3)+3*dgm01(1,2)*dgm10(3,3)+6*gm(1,3)&
792 &   *d2gm(2,3)+3*gm(1,2)*d2gm(3,3))
793    cm(5,8)=12*gm(1,3)*dgm01(3,3)*dgm10(1,2)+3*gm(1,3)*dgm01(2,3)&
794 &   *dgm10(1,3)+12*gm(1,2)*dgm01(3,3)*dgm10(1,3)+3*gm(1,3)*dgm01(1,3)&
795 &   *dgm10(2,3)-4.5d0*gm(1,1)*dgm01(3,3)*dgm10(2,3)+12*gm(1,3)*dgm01(1,2)&
796 &   *dgm10(3,3)+12*gm(1,2)*dgm01(1,3)*dgm10(3,3)-4.5d0*gm(1,1)*dgm01(2,3)&
797 &   *dgm10(3,3)+1.5d0*gm(1,3)**2*d2gm(2,3)+gm(3,3)*(-4.5d0*dgm01(2,3)&
798 &   *dgm10(1,1)+12*dgm01(1,3)*dgm10(1,2)+12*dgm01(1,2)*dgm10(1,3)&
799 &   -4.5d0*dgm01(1,1)*dgm10(2,3)-4.5d0*gm(2,3)*d2gm(1,1)+12*gm(1,3)&
800 &   *d2gm(1,2)+12*gm(1,2)*d2gm(1,3)-4.5d0*gm(1,1)*d2gm(2,3))+12*gm(1,2)&
801 &   *gm(1,3)*d2gm(3,3)+gm(2,3)*(-4.5d0*dgm01(3,3)*dgm10(1,1)+3*dgm01(1,3)&
802 &   *dgm10(1,3)-4.5d0*dgm01(1,1)*dgm10(3,3)+3*gm(1,3)*d2gm(1,3)-4.5d0*gm(1,1)&
803 &   *d2gm(3,3))
804    cm(6,8)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,1)+9*gm(1,3)*dgm01(2,3)&
805 &   *dgm10(1,2)-6*gm(1,2)*dgm01(3,3)*dgm10(1,2)+15*gm(2,2)*dgm01(1,3)&
806 &   *dgm10(1,3)+15*gm(1,3)*dgm01(2,2)*dgm10(1,3)+9*gm(1,2)*dgm01(2,3)&
807 &   *dgm10(1,3)+15*gm(1,3)*dgm01(1,3)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(3,3)&
808 &   *dgm10(2,2)+9*gm(1,3)*dgm01(1,2)*dgm10(2,3)+9*gm(1,2)*dgm01(1,3)&
809 &   *dgm10(2,3)-6*gm(1,1)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,1)&
810 &   *dgm10(3,3)-6*gm(1,2)*dgm01(1,2)*dgm10(3,3)-1.5d0*gm(1,1)*dgm01(2,2)&
811 &   *dgm10(3,3)-3*gm(2,3)**2*d2gm(1,1)+15*gm(1,3)*gm(2,2)*d2gm(1,3)&
812 &   +7.5d0*gm(1,3)**2*d2gm(2,2)+gm(3,3)*(-1.5d0*dgm01(2,2)*dgm10(1,1)&
813 &   -6*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(2,2)&
814 &   *d2gm(1,1)-6*gm(1,2)*d2gm(1,2)-1.5d0*gm(1,1)*d2gm(2,2))+9*gm(1,2)&
815 &   *gm(1,3)*d2gm(2,3)+gm(2,3)*(-6*dgm01(2,3)*dgm10(1,1)+9*dgm01(1,3)&
816 &   *dgm10(1,2)+9*dgm01(1,2)*dgm10(1,3)-6*dgm01(1,1)*dgm10(2,3)+9*gm(1,3)&
817 &   *d2gm(1,2)+9*gm(1,2)*d2gm(1,3)-6*gm(1,1)*d2gm(2,3))-3*gm(1,2)&
818 &   **2*d2gm(3,3)-1.5d0*gm(1,1)*gm(2,2)*d2gm(3,3)
819    cm(7,8)=4.5d0*gm(2,3)**2*d2gm(2,2)-3*gm(3,3)*(dgm01(2,2)*dgm10(2,2)&
820 &   +gm(2,2)*d2gm(2,2))+9*gm(2,3)*(dgm01(2,3)*dgm10(2,2)+dgm01(2,2)&
821 &   *dgm10(2,3)+gm(2,2)*d2gm(2,3))+gm(2,2)*(-3*dgm01(3,3)*dgm10(2,2)&
822 &   +9*dgm01(2,3)*dgm10(2,3)-3*dgm01(2,2)*dgm10(3,3)-1.5d0*gm(2,2)&
823 &   *d2gm(3,3))
824    cm(8,8)=12*gm(2,2)*dgm01(3,3)*dgm10(3,3)+6*gm(2,3)*(dgm01(3,3)&
825 &   *dgm10(2,3)+dgm01(2,3)*dgm10(3,3))+6*gm(3,3)**2*d2gm(2,2)+3*gm(2,3)&
826 &   **2*d2gm(3,3)+gm(3,3)*(12*dgm01(3,3)*dgm10(2,2)+6*dgm01(2,3)&
827 &   *dgm10(2,3)+12*dgm01(2,2)*dgm10(3,3)+6*gm(2,3)*d2gm(2,3)+12*gm(2,2)&
828 &   *d2gm(3,3))
829    cm(9,8)=7.5d0*gm(2,2)*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3))&
830 &   +4.5d0*gm(2,3)**2*d2gm(2,3)+7.5d0*gm(3,3)*(dgm01(2,3)*dgm10(2,2)&
831 &   +dgm01(2,2)*dgm10(2,3)+gm(2,3)*d2gm(2,2)+gm(2,2)*d2gm(2,3))+gm(2,3)&
832 &   *(7.5d0*dgm01(3,3)*dgm10(2,2)+9*dgm01(2,3)*dgm10(2,3)+7.5d0*dgm01(2,2)&
833 &   *dgm10(3,3)+7.5d0*gm(2,2)*d2gm(3,3))
834    cm(10,8)=6*gm(2,3)*dgm01(3,3)*dgm10(3,3)+3*gm(3,3)**2*d2gm(2,3)&
835 &   +6*gm(3,3)*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3)+gm(2,3)&
836 &   *d2gm(3,3))
837    cm(1,9)=(-18*gm(1,3)*dgm01(2,2)*dgm10(1,1)-36*gm(1,2)*dgm01(2,3)&
838 &   *dgm10(1,1)+180*gm(1,3)*dgm01(1,2)*dgm10(1,2)+180*gm(1,2)*dgm01(1,3)&
839 &   *dgm10(1,2)-36*gm(1,1)*dgm01(2,3)*dgm10(1,2)+180*gm(1,2)*dgm01(1,2)&
840 &   *dgm10(1,3)-18*gm(1,1)*dgm01(2,2)*dgm10(1,3)-18*gm(1,3)*dgm01(1,1)&
841 &   *dgm10(2,2)-18*gm(1,1)*dgm01(1,3)*dgm10(2,2)-36*gm(1,2)*dgm01(1,1)&
842 &   *dgm10(2,3)-36*gm(1,1)*dgm01(1,2)*dgm10(2,3)+180*gm(1,2)*gm(1,3)&
843 &   *d2gm(1,2)-36*gm(2,3)*(dgm01(1,2)*dgm10(1,1)+dgm01(1,1)*dgm10(1,2)&
844 &   +gm(1,2)*d2gm(1,1)+gm(1,1)*d2gm(1,2))+90*gm(1,2)**2*d2gm(1,3)&
845 &   -18*gm(2,2)*(dgm01(1,3)*dgm10(1,1)+dgm01(1,1)*dgm10(1,3)+gm(1,3)&
846 &   *d2gm(1,1)+gm(1,1)*d2gm(1,3))-18*gm(1,1)*gm(1,3)*d2gm(2,2)-36*gm(1,1)&
847 &   *gm(1,2)*d2gm(2,3))/12.d0
848    cm(2,9)=12*gm(1,3)*dgm01(2,2)*dgm10(2,2)+3*gm(1,2)*dgm01(2,3)&
849 &   *dgm10(2,2)+3*gm(1,2)*dgm01(2,2)*dgm10(2,3)+6*gm(2,2)**2*d2gm(1,3)&
850 &   +3*gm(2,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
851 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))+gm(2,2)*(3*dgm01(2,3)*dgm10(1,2)&
852 &   +12*dgm01(2,2)*dgm10(1,3)+12*dgm01(1,3)*dgm10(2,2)+3*dgm01(1,2)&
853 &   *dgm10(2,3)+12*gm(1,3)*d2gm(2,2)+3*gm(1,2)*d2gm(2,3))
854    cm(3,9)=-4.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,3)-4.5d0*gm(1,3)*dgm01(3,3)&
855 &   *dgm10(2,2)+3*gm(1,3)*dgm01(2,3)*dgm10(2,3)+12*gm(1,2)*dgm01(3,3)&
856 &   *dgm10(2,3)-4.5d0*gm(2,2)*dgm01(1,3)*dgm10(3,3)-4.5d0*gm(1,3)&
857 &   *dgm01(2,2)*dgm10(3,3)+12*gm(1,2)*dgm01(2,3)*dgm10(3,3)+1.5d0*gm(2,3)&
858 &   **2*d2gm(1,3)+gm(3,3)*(12*dgm01(2,3)*dgm10(1,2)-4.5d0*dgm01(2,2)&
859 &   *dgm10(1,3)-4.5d0*dgm01(1,3)*dgm10(2,2)+12*dgm01(1,2)*dgm10(2,3)&
860 &   +12*gm(2,3)*d2gm(1,2)-4.5d0*gm(2,2)*d2gm(1,3)-4.5d0*gm(1,3)*d2gm(2,2)&
861 &   +12*gm(1,2)*d2gm(2,3))-4.5d0*gm(1,3)*gm(2,2)*d2gm(3,3)+gm(2,3)&
862 &   *(12*dgm01(3,3)*dgm10(1,2)+3*dgm01(2,3)*dgm10(1,3)+3*dgm01(1,3)&
863 &   *dgm10(2,3)+12*dgm01(1,2)*dgm10(3,3)+3*gm(1,3)*d2gm(2,3)+12*gm(1,2)&
864 &   *d2gm(3,3))
865    cm(4,9)=12*gm(2,2)*dgm01(3,3)*dgm10(1,2)+3*gm(2,2)*dgm01(2,3)&
866 &   *dgm10(1,3)+3*gm(1,3)*dgm01(2,3)*dgm10(2,2)+12*gm(1,2)*dgm01(3,3)&
867 &   *dgm10(2,2)+3*gm(2,2)*dgm01(1,3)*dgm10(2,3)+3*gm(1,3)*dgm01(2,2)&
868 &   *dgm10(2,3)+6*gm(1,2)*dgm01(2,3)*dgm10(2,3)+12*gm(2,2)*dgm01(1,2)&
869 &   *dgm10(3,3)+12*gm(1,2)*dgm01(2,2)*dgm10(3,3)+3*gm(2,3)**2*d2gm(1,2)&
870 &   +12*gm(3,3)*(dgm01(2,2)*dgm10(1,2)+dgm01(1,2)*dgm10(2,2)+gm(2,2)&
871 &   *d2gm(1,2)+gm(1,2)*d2gm(2,2))+3*gm(1,3)*gm(2,2)*d2gm(2,3)+gm(2,3)&
872 &   *(6*dgm01(2,3)*dgm10(1,2)+3*dgm01(2,2)*dgm10(1,3)+3*dgm01(1,3)&
873 &   *dgm10(2,2)+6*dgm01(1,2)*dgm10(2,3)+3*gm(2,2)*d2gm(1,3)+3*gm(1,3)&
874 &   *d2gm(2,2)+6*gm(1,2)*d2gm(2,3))+12*gm(1,2)*gm(2,2)*d2gm(3,3)
875    cm(5,9)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,1)+9*gm(1,3)*dgm01(2,3)&
876 &   *dgm10(1,2)+15*gm(1,2)*dgm01(3,3)*dgm10(1,2)-6*gm(2,2)*dgm01(1,3)&
877 &   *dgm10(1,3)-6*gm(1,3)*dgm01(2,2)*dgm10(1,3)+9*gm(1,2)*dgm01(2,3)&
878 &   *dgm10(1,3)-6*gm(1,3)*dgm01(1,3)*dgm10(2,2)-1.5d0*gm(1,1)*dgm01(3,3)&
879 &   *dgm10(2,2)+9*gm(1,3)*dgm01(1,2)*dgm10(2,3)+9*gm(1,2)*dgm01(1,3)&
880 &   *dgm10(2,3)-6*gm(1,1)*dgm01(2,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,1)&
881 &   *dgm10(3,3)+15*gm(1,2)*dgm01(1,2)*dgm10(3,3)-1.5d0*gm(1,1)*dgm01(2,2)&
882 &   *dgm10(3,3)-3*gm(2,3)**2*d2gm(1,1)-6*gm(1,3)*gm(2,2)*d2gm(1,3)&
883 &   -3*gm(1,3)**2*d2gm(2,2)+gm(3,3)*(-1.5d0*dgm01(2,2)*dgm10(1,1)&
884 &   +15*dgm01(1,2)*dgm10(1,2)-1.5d0*dgm01(1,1)*dgm10(2,2)-1.5d0*gm(2,2)&
885 &   *d2gm(1,1)+15*gm(1,2)*d2gm(1,2)-1.5d0*gm(1,1)*d2gm(2,2))+9*gm(1,2)&
886 &   *gm(1,3)*d2gm(2,3)+gm(2,3)*(-6*dgm01(2,3)*dgm10(1,1)+9*dgm01(1,3)&
887 &   *dgm10(1,2)+9*dgm01(1,2)*dgm10(1,3)-6*dgm01(1,1)*dgm10(2,3)+9*gm(1,3)&
888 &   *d2gm(1,2)+9*gm(1,2)*d2gm(1,3)-6*gm(1,1)*d2gm(2,3))+7.5d0*gm(1,2)&
889 &   **2*d2gm(3,3)-1.5d0*gm(1,1)*gm(2,2)*d2gm(3,3)
890    cm(6,9)=12*gm(1,3)*dgm01(2,2)*dgm10(1,2)+3*gm(1,2)*dgm01(2,3)&
891 &   *dgm10(1,2)+12*gm(1,2)*dgm01(2,2)*dgm10(1,3)+12*gm(1,3)*dgm01(1,2)&
892 &   *dgm10(2,2)+12*gm(1,2)*dgm01(1,3)*dgm10(2,2)-4.5d0*gm(1,1)*dgm01(2,3)&
893 &   *dgm10(2,2)+3*gm(1,2)*dgm01(1,2)*dgm10(2,3)-4.5d0*gm(1,1)*dgm01(2,2)&
894 &   *dgm10(2,3)+12*gm(1,2)*gm(1,3)*d2gm(2,2)+gm(2,3)*(-4.5d0*dgm01(2,2)&
895 &   *dgm10(1,1)+3*dgm01(1,2)*dgm10(1,2)-4.5d0*dgm01(1,1)*dgm10(2,2)&
896 &   -4.5d0*gm(2,2)*d2gm(1,1)+3*gm(1,2)*d2gm(1,2)-4.5d0*gm(1,1)*d2gm(2,2))&
897 &   +1.5d0*gm(1,2)**2*d2gm(2,3)+gm(2,2)*(-4.5d0*dgm01(2,3)*dgm10(1,1)&
898 &   +12*dgm01(1,3)*dgm10(1,2)+12*dgm01(1,2)*dgm10(1,3)-4.5d0*dgm01(1,1)&
899 &   *dgm10(2,3)+12*gm(1,3)*d2gm(1,2)+12*gm(1,2)*d2gm(1,3)-4.5d0*gm(1,1)&
900 &   *d2gm(2,3))
901    cm(7,9)=6*gm(2,3)*(dgm01(2,2)*dgm10(2,2)+gm(2,2)*d2gm(2,2))&
902 &   +gm(2,2)*(6*dgm01(2,3)*dgm10(2,2)+6*dgm01(2,2)*dgm10(2,3)+3*gm(2,2)&
903 &   *d2gm(2,3))
904    cm(8,9)=7.5d0*gm(2,2)*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3))&
905 &   +4.5d0*gm(2,3)**2*d2gm(2,3)+7.5d0*gm(3,3)*(dgm01(2,3)*dgm10(2,2)&
906 &   +dgm01(2,2)*dgm10(2,3)+gm(2,3)*d2gm(2,2)+gm(2,2)*d2gm(2,3))+gm(2,3)&
907 &   *(7.5d0*dgm01(3,3)*dgm10(2,2)+9*dgm01(2,3)*dgm10(2,3)+7.5d0*dgm01(2,2)&
908 &   *dgm10(3,3)+7.5d0*gm(2,2)*d2gm(3,3))
909    cm(9,9)=3*gm(2,3)**2*d2gm(2,2)+12*gm(3,3)*(dgm01(2,2)*dgm10(2,2)&
910 &   +gm(2,2)*d2gm(2,2))+6*gm(2,3)*(dgm01(2,3)*dgm10(2,2)+dgm01(2,2)&
911 &   *dgm10(2,3)+gm(2,2)*d2gm(2,3))+gm(2,2)*(12*dgm01(3,3)*dgm10(2,2)&
912 &   +6*dgm01(2,3)*dgm10(2,3)+12*dgm01(2,2)*dgm10(3,3)+6*gm(2,2)*d2gm(3,3))
913    cm(10,9)=-3*gm(2,2)*dgm01(3,3)*dgm10(3,3)+9*gm(2,3)*(dgm01(3,3)&
914 &   *dgm10(2,3)+dgm01(2,3)*dgm10(3,3))-1.5d0*gm(3,3)**2*d2gm(2,2)&
915 &   +4.5d0*gm(2,3)**2*d2gm(3,3)+gm(3,3)*(-3*dgm01(3,3)*dgm10(2,2)&
916 &   +9*dgm01(2,3)*dgm10(2,3)-3*dgm01(2,2)*dgm10(3,3)+9*gm(2,3)*d2gm(2,3)&
917 &   -3*gm(2,2)*d2gm(3,3))
918    cm(1,10)=-1.5d0*gm(1,1)*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3))&
919 &   +7.5d0*gm(1,3)**2*d2gm(1,3)-1.5d0*gm(3,3)*(dgm01(1,3)*dgm10(1,1)&
920 &   +dgm01(1,1)*dgm10(1,3)+gm(1,3)*d2gm(1,1)+gm(1,1)*d2gm(1,3))+gm(1,3)&
921 &   *(-1.5d0*dgm01(3,3)*dgm10(1,1)+15*dgm01(1,3)*dgm10(1,3)-1.5d0*dgm01(1,1)&
922 &   *dgm10(3,3)-1.5d0*gm(1,1)*d2gm(3,3))
923    cm(2,10)=-1.5d0*gm(2,2)*dgm01(3,3)*dgm10(1,3)-1.5d0*gm(1,3)&
924 &   *dgm01(3,3)*dgm10(2,2)+15*gm(1,3)*dgm01(2,3)*dgm10(2,3)-3*gm(1,2)&
925 &   *dgm01(3,3)*dgm10(2,3)-1.5d0*gm(2,2)*dgm01(1,3)*dgm10(3,3)-1.5d0*gm(1,3)&
926 &   *dgm01(2,2)*dgm10(3,3)-3*gm(1,2)*dgm01(2,3)*dgm10(3,3)+7.5d0*gm(2,3)&
927 &   **2*d2gm(1,3)+gm(3,3)*(-3*dgm01(2,3)*dgm10(1,2)-1.5d0*dgm01(2,2)&
928 &   *dgm10(1,3)-1.5d0*dgm01(1,3)*dgm10(2,2)-3*dgm01(1,2)*dgm10(2,3)&
929 &   -3*gm(2,3)*d2gm(1,2)-1.5d0*gm(2,2)*d2gm(1,3)-1.5d0*gm(1,3)*d2gm(2,2)&
930 &   -3*gm(1,2)*d2gm(2,3))-1.5d0*gm(1,3)*gm(2,2)*d2gm(3,3)+gm(2,3)&
931 &   *(-3*dgm01(3,3)*dgm10(1,2)+15*dgm01(2,3)*dgm10(1,3)+15*dgm01(1,3)&
932 &   *dgm10(2,3)-3*dgm01(1,2)*dgm10(3,3)+15*gm(1,3)*d2gm(2,3)-3*gm(1,2)&
933 &   *d2gm(3,3))
934    cm(3,10)=6*gm(1,3)*dgm01(3,3)*dgm10(3,3)+3*gm(3,3)**2*d2gm(1,3)&
935 &   +6*gm(3,3)*(dgm01(3,3)*dgm10(1,3)+dgm01(1,3)*dgm10(3,3)+gm(1,3)&
936 &   *d2gm(3,3))
937    cm(4,10)=9*gm(1,3)*dgm01(3,3)*dgm10(2,3)+9*gm(1,3)*dgm01(2,3)&
938 &   *dgm10(3,3)-6*gm(1,2)*dgm01(3,3)*dgm10(3,3)-3*gm(3,3)**2*d2gm(1,2)&
939 &   +gm(3,3)*(-6*dgm01(3,3)*dgm10(1,2)+9*dgm01(2,3)*dgm10(1,3)+9*dgm01(1,3)&
940 &   *dgm10(2,3)-6*dgm01(1,2)*dgm10(3,3)+9*gm(2,3)*d2gm(1,3)+9*gm(1,3)&
941 &   *d2gm(2,3)-6*gm(1,2)*d2gm(3,3))+9*gm(2,3)*(dgm01(3,3)*dgm10(1,3)&
942 &   +dgm01(1,3)*dgm10(3,3)+gm(1,3)*d2gm(3,3))
943    cm(5,10)=-3*gm(1,1)*dgm01(3,3)*dgm10(3,3)+9*gm(1,3)*(dgm01(3,3)&
944 &   *dgm10(1,3)+dgm01(1,3)*dgm10(3,3))-1.5d0*gm(3,3)**2*d2gm(1,1)&
945 &   +4.5d0*gm(1,3)**2*d2gm(3,3)+gm(3,3)*(-3*dgm01(3,3)*dgm10(1,1)&
946 &   +9*dgm01(1,3)*dgm10(1,3)-3*dgm01(1,1)*dgm10(3,3)+9*gm(1,3)*d2gm(1,3)&
947 &   -3*gm(1,1)*d2gm(3,3))
948    cm(6,10)=-3*gm(1,3)*dgm01(3,3)*dgm10(1,2)+15*gm(1,3)*dgm01(2,3)&
949 &   *dgm10(1,3)-3*gm(1,2)*dgm01(3,3)*dgm10(1,3)+15*gm(1,3)*dgm01(1,3)&
950 &   *dgm10(2,3)-1.5d0*gm(1,1)*dgm01(3,3)*dgm10(2,3)-3*gm(1,3)*dgm01(1,2)&
951 &   *dgm10(3,3)-3*gm(1,2)*dgm01(1,3)*dgm10(3,3)-1.5d0*gm(1,1)*dgm01(2,3)&
952 &   *dgm10(3,3)+7.5d0*gm(1,3)**2*d2gm(2,3)+gm(3,3)*(-1.5d0*dgm01(2,3)&
953 &   *dgm10(1,1)-3*dgm01(1,3)*dgm10(1,2)-3*dgm01(1,2)*dgm10(1,3)-1.5d0*dgm01(1,1)&
954 &   *dgm10(2,3)-1.5d0*gm(2,3)*d2gm(1,1)-3*gm(1,3)*d2gm(1,2)-3*gm(1,2)&
955 &   *d2gm(1,3)-1.5d0*gm(1,1)*d2gm(2,3))-3*gm(1,2)*gm(1,3)*d2gm(3,3)&
956 &   +gm(2,3)*(-1.5d0*dgm01(3,3)*dgm10(1,1)+15*dgm01(1,3)*dgm10(1,3)&
957 &   -1.5d0*dgm01(1,1)*dgm10(3,3)+15*gm(1,3)*d2gm(1,3)-1.5d0*gm(1,1)&
958 &   *d2gm(3,3))
959    cm(7,10)=-1.5d0*gm(2,2)*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3))&
960 &   +7.5d0*gm(2,3)**2*d2gm(2,3)-1.5d0*gm(3,3)*(dgm01(2,3)*dgm10(2,2)&
961 &   +dgm01(2,2)*dgm10(2,3)+gm(2,3)*d2gm(2,2)+gm(2,2)*d2gm(2,3))+gm(2,3)&
962 &   *(-1.5d0*dgm01(3,3)*dgm10(2,2)+15*dgm01(2,3)*dgm10(2,3)-1.5d0*dgm01(2,2)&
963 &   *dgm10(3,3)-1.5d0*gm(2,2)*d2gm(3,3))
964    cm(8,10)=6*gm(2,3)*dgm01(3,3)*dgm10(3,3)+3*gm(3,3)**2*d2gm(2,3)&
965 &   +6*gm(3,3)*(dgm01(3,3)*dgm10(2,3)+dgm01(2,3)*dgm10(3,3)+gm(2,3)&
966 &   *d2gm(3,3))
967    cm(9,10)=-3*gm(2,2)*dgm01(3,3)*dgm10(3,3)+9*gm(2,3)*(dgm01(3,3)&
968 &   *dgm10(2,3)+dgm01(2,3)*dgm10(3,3))-1.5d0*gm(3,3)**2*d2gm(2,2)&
969 &   +4.5d0*gm(2,3)**2*d2gm(3,3)+gm(3,3)*(-3*dgm01(3,3)*dgm10(2,2)&
970 &   +9*dgm01(2,3)*dgm10(2,3)-3*dgm01(2,2)*dgm10(3,3)+9*gm(2,3)*d2gm(2,3)&
971 &   -3*gm(2,2)*d2gm(3,3))
972    cm(10,10)=gm(3,3)*(6*dgm01(3,3)*dgm10(3,3)+3*gm(3,3)*d2gm(3,3))
973 
974 
975  end if
976 !
977 !contraction to output scalar
978 !
979  e2nl=0.d0
980  do jj=1,((rank+1)*(rank+2))/2
981    tmp(:)=0.d0
982    do ii=1,((rank+1)*(rank+2))/2
983      tmp(:)=tmp(:)+aa(:,ii)*cm(ii,jj)
984    end do
985    e2nl=e2nl+tmp(1)*bb(1,jj)+tmp(2)*bb(2,jj)
986  end do
987 
988  ABI_DEALLOCATE(cm)
989 
990 end subroutine contstr26