Quellcode-Bibliothek perf25.grp

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##
##  This file is part of GAP, a system for computational discrete algebra.
##  It contains the perfect groups of order 1180980
##  This data was computed by Alexander Hulpke
##  It is distributed under the artistic license 2.0
##  https://opensource.org/licenses/Artistic-2.0
##  as well as (dual licensing) under GPL 2

PERFGRP[355]:=[# 1180980.1
[[1,"abcde",
function(a,b,c,d,e)
return [[ e^3, d^3, a^3, d^-1*e^-1*d*e, (a^-1*c)^2, (a^-1*e*c)^2,
  a^-1*c^-2*a*c^2, c^-2*e*c^2*e^-1, b^6, b^-1*d^-1*b^2*d*b^-1, (e*a)^3,
  b^2*e*b^-2*e^-1, (a^-1*e)^3, c^-2*d*c^2*d^-1, b^-1*d*(b*d^-1)^2*b^-1*d,
  (c^-1*d^-1)^2*(c*d)^2, e^-1*b^-1*d*b*e*b*d^-1*b^-1,
  c^-1*d^-1*c*e^-1*c*d*c^-1*e, d^-1*a*e^-1*a^-1*d*a*e*a^-1,
  b^-2*c^2*b^2*c^-2, a^-1*d^-1*a*d^-1*a^-1*d*a*d,
  a*e*d^-1*c^-1*a^-1*d*a^-1*d^-1*c^-1*d, b^2*c^-1*d*c^-1*b^-2*c*d^-1*c,
  b^-1*d^-1*b*c^2*b*d*b^-1*c^-2, b^-2*a*d^-1*a^-1*b^2*a*d*a^-1,
  b^2*a*e^-1*a^-1*b^-2*a*e*a^-1,
  a*d*c^-1*e^-1*a^-1*d^-1*a^-1*e^-1*d*c^-1*d^-1,
  a^-1*b^-1*a^-1*b*d^-1*a^-1*d*e*b^-1*c^-1*d^-1*c,
  b^-1*a*d*a^-1*b^-1*c*d*a*d*a^-1*c^-1*e,
  b^-1*d^-1*b*a*d^-1*a^-1*b*d*b^-1*a*d*a^-1,
  c*d^-1*c^-1*b*e^-1*b*c^-1*d*c*b^-1*e*b^-1,
  b^-1*d*b*c^-1*e^-1*c*b^-1*d^-1*b*c*e*c^-1,
  b*d*b^-1*c^-1*d^-1*c*b^-1*d^-1*b*c*d*c^-1,
  b^-1*a*e^-1*a^-1*c^-1*e*b*e^-1*b^-1*e*c*b*e^-1,
  c^-1*b*c^-1*d*c*b^-1*c^2*b*c*d^-1*c^-1*b^-1*c^-1,
  b*e^-1*b^-1*c*d*c^-1*e*d*b*d*c*d*c^-1*b^-1*e,
  e^-1*a^-1*b*d*b^-1*a^-1*b^-1*e^-1*b*d^-1*e^-1*a^-1*b^2*d,
  c^-1*d^-1*c*b^-1*e^-1*a*d*a^-1*e*b^-1*d^-1*a*e^-1*d*a^-1*e,
  a*d*e*(b*e^-1)^2*b^-1*e^-1*b^-1*(a*d*e^-1)^2,
  e^-1*c*e^-1*a^-1*d^-1*c*d^-1*b*a*d^-1*e*a^-1*b*a*d^-1*e*a,
  d^-1*b^-2*a*d*a*b*a*e^-1*c^-1*a*d*c^-1*b^-1*e*a*e^-1,
  b*c*d^-1*c^-1*d^-1*b*a*e*a^-1*b^-1*c^-1*d*c*d*b^-1*a*e^-1*a^-1,
  c^-1*b*c*d^-1*c^-1*d^-1*b^-1*c*d*c*b*c^-1*d*c*d*b^-1*c^-1*d^-1,
  b^-1*c^-1*b*d*c*d*c^-1*b^-1*(c*b)^2*d^-1*c^-1*d^-1*c*b^-1*c^-1,
  a^-1*e*d*b*c*d*c^-1*b^-1*a^-1*d^-1*a^-1*c*d*c^-1*b^-2*e^-1*d,
  c^-1*b*d*c*d*c^-1*b^-1*c*e^-1*c*b*d^-1*c^-1*d^-1*c*b^-1*c^-1*e,
  c^-1*b*c*d^-1*c^-1*b^-1*e^-1*d^-1*c*a*e^-1*a^-1*b*c^-1*d^-1*c*d*b^-1*e^-1,
  e*d^-1*c^-1*a*e^-1*b*c^-2*(d*e)^2*a*d*a^-1*b^-1*d^-1*c*a,
  e*b*a*e^-1*b*c*b*c^-1*d^-1*c*d^-1*b^-1*d*c^-1*d*b^-1*a^-1*e^-1*b^-1,
  d^-1*c*b^-1*c*b*c*d^-1*c^-1*d^-1*b^-1*c^-1*b*c^-1*d*b*d*c*d*c^-1*b^-1,
  c^-1*a^-1*d^-1*a^-1*b^-1*c^-1*d*c*b^-1*d^-1*a^-1*e^-1*b*c^-1*d^-1*c*b*e^-1*\
d^-1*c^-1, b^-1*a*d^-1*a^-1*e^-1*d^-1*b*a*b^-1*a*b*a*b^-3*a*d*e*a*d*a,
  b*c*d^-1*c^-1*d^-1*b^-1*d*c*a*e^-1*a^-1*e^-1*b^-1*c^-1*d*c*e*d*b*c^-1*d^-1,
  a^-1*d^-1*c*b^2*d^-1*e*a*d*a*c*a*e*a^-1*b*c*d*c^-1*d^-1*b^-1*e,
  a^-1*e^-1*b*d*c*d*c^-1*b^-1*e^-1*(d*a^-1)^2*d*e*b*c*d^-1*c^-1*d^-1*b^-1,
  b^-1*c*e*b*e^-1*b^-1*d*e*c^-1*a^-1*d^-1*a^-1*e^-1*a^-1*e*b^-1*a*d*e^-1*a^-1\
*e,
  a*d*a^-1*c*b*d*c*d*c^-1*b^-1*c^-1*a*d^-1*a^-1*c^-1*b*c*d^-1*c^-1*d^-1*b^-1*\
c, c^-1*b^-1*d*c^-1*d*b*d^-1*c*b*e^-1*b*a*d*a^-1*e*b^-1*a*d^-1*c^-1*a*c*e^-1,
  b*d*c^-1*d*b*d^-1*c*d^-1*c^-1*b^-1*c*b*a*d^-1*a^-1*e^-1*b^-2*d^-1*a^-1*e*d^\
-1*a,
  e^-1*c*d^-1*c^-1*b^-1*e*a*b*c*d*c^-1*d*b^-1*e^-1*c^-1*a^-1*e*a^-1*b*e*b^-1*\
c^-1*b*d^-1,
  d^-1*a^-1*c*b*d*c^-1*d*c*b^-1*c^-1*d*e^-1*b*c*d^-1*c^-1*d^-1*b^-1*a*d^-1*e*\
a*d*a^-1,
  (b^-1*a)^2*b*a*b*d*c*d*c^-1*b^-1*e*d*b^-1*d^-1*b^-1*a*d*e^-1*a*d^-1*e*a,
  b^-1*e*d^-1*c^-1*b*d*c^-1*d*c*b^-1*c*e^-1*d*b*c*d^-1*b*d^-1*c^-1*d^-1*c*b^-\
1*d*c^-1,
  a^-1*b^-1*c*d^-1*c^-1*b*e*a^-1*d^-1*a^-1*b^2*e^-1*a*e^-1*a^-1*d*b*d*c*d*c^-\
1*b^-1*e,
  e*c^-1*d*c*b^-1*d^-1*e*b^-1*c*d*c^-1*d*b^-1*a^-1*d^-1*e*a*e^-1*b*c*d^-1*c^-\
1*a*d*a^-1,
  a*c^-1*e^-1*b*e*b^-1*d^-1*e^-1*c^-1*d*b*d^-1*e^-1*a*d^-1*e*a^-1*d*b*e*d^-1*\
a^-1*e^-1*c^2*d,
  a^-1*d^-1*b^-2*a*e^-1*b^-1*c^-1*d^-1*c*b^-1*e*a*d*a^-1*d*c*b*d*c*d*c^-1*b^-\
1*c*e^-1*d^-1,
  d^-1*a^-1*b^-1*c*d*c^-1*b*a^-1*d^-1*e*c*a*d*a^-1*b^-2*d^-1*e*b*c*d*c^-1*d*b\
^-1*e^-1*c^-1*e^-1*a^-1,
  a*e^-1*b^-1*c^-1*d^-1*c*b*d^-1*a^-1*b*c^-1*d*c*d*b^-1*c^-1*e^-1*d*b*d*a*d*e\
^-1*a^-1*e*d^-1*b^-1*e*c*e,
  b*(a*d^-1*e)^2*a^-1*e^-1*b*c*d*c^-1*b*c^-2*e*d*b*c^-1*d^-1*c*d^-1*b^-1*e*d*\
e*a*d*a*d^-1*b,
  a*d*a^-1*e*b^-2*d^-1*c^-1*e^-1*b^-1*c*d^-1*c^-1*b^-1*e^-1*a*d^-1*c^-1*a*c*d\
^-1*b*d^-1*c^-1*d^-1*c*b^-1*c*b*c^-1*d*c*d*b^-1,
  d*e^-1*a^-1*c*d^-1*a^-1*e^-1*b*c^-1*d*c*b*e^-1*a*d*c^-2*a^-1*d*e*a*d*a^-1*b\
*d*c*d*c^-1*b^-1*c*b*d^-1*c^-1*d^-1*c*b*a*d^-1*a^-1,
  a*d*a^-1*e*b^-1*c^-1*d*c*b^-1*a^-1*d^-1*a^-1*e^-1*d*b*c^-1*d^-1*c*b*a*d*a^-\
1*c^2*(c*b)^2*c^-1*d*c*d*b^-1*d^-1*c^-1*d^-1*b^-1*c^-1*d*a^-1*e^-1 ],
[ [ a, b^-2, c, e, b*d*b^-1, b*e*b^-1, d*c*d^-1 ] ]];
end,
[ 30 ]],
"PG1180980.1",0,1,1,30],
# 1180980.2
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ d^3, e^3, f^3, (e^-1*f)^3, (e^-1*f^-1)^3, (f*d)^3, (f^-1*d)^3,
  (a^-1*f^-1)^3, f^-1*a*f^-1*a^-1*f*a*f*a^-1, e*c^-1*f*e*c*a*f^-1*a^-1,
  f*c^-1*f*c*f^-1*c^-1*f^-1*c, b^-1*e^-1*f^-1*e*b*c^-1*f^-1*c*f^-1,
  c^-1*f*c^-1*e*f*e^-1*c^2*f, e*c^-1*f*c*a^3*e^-1*f^-1,
  d^-1*f^-1*c^-1*f*c*d*f*c^-1*f^-1*c, c^-3*f^-1*(c*f)^2*c*f^-1,
  d*e^-1*d*f^-1*d^-1*f*e*f*d^-1*f^-1, f^-1*c*e*f^-1*c^-1*f*a*f*a^-1*e,
  e*a*c^-1*f^-1*c*f*a^-1*f^-1*e^-1*f, f*c^-1*f^-1*c*a^-1*e^-1*f*e*f^-1*a,
  f^-1*a^-1*f*e^-1*a*f*a^-1*f^-1*e*a, d*a^-1*e*f^-1*e^-1*a*d^-1*b^-1*f*b,
  a*e*f^-1*e^-1*a*f^-1*a*e^-1*f^-1*e, f*a^-1*e^-1*f*a^-1*c^-1*f*c*a*e*a,
  e^-1*a^-1*e*a*c^-1*e^-1*f^-1*c*f*a^-1*e^-1*a,
  a^-1*c^-1*e^-1*c*a^-1*f^-1*a^-1*e*a*e*a^-1*f,
  f*a^-1*f^-1*a*c^-1*f^-1*a^-1*e^-1*c*f^-1*a^-1*e^-1,
  b^-1*e*b*f*a*f^-1*a^-1*e^-1*b^-1*e^-1*b*e,
  f^-1*c^-1*f*e*a^-1*e^-1*a*c*a^-1*e*a*e^-1,
  b^-1*f*e^-1*b*e^-1*d^-1*e*b^-1*e*f^-1*b*d,
  d^-1*a*f^-1*a*e^-1*a*f*a^-1*b^-1*e*b*e*a,
  a*d^-1*a^-1*c^-1*e^-1*b^-1*e*b*e^-1*f*e*c*f^-1,
  b^-1*e*b*e^-1*d^-1*e*d^-1*b^-1*e^-1*b*f*d^-1*f^-1,
  a^2*f^-1*a^-1*f^-1*(e*a)^2*a*f*a^-1*e*f,
  d^-1*f^-1*e^-1*a*f*a^-1*e*d*a*f^-1*a^-1*e*f*e^-1,
  d*e^-1*c^-1*e^-1*f^-1*c*d^-1*c*d*c^-1*f*c*d^-1*c^-1,
  f*d*f^-1*e^-1*d^-1*f^-1*c*f^-1*c^-1*e*a^-1*f^-1*a^-2,
  c^-1*e^-1*f^-1*c*f*d^-1*e*d^-1*a*f*a^-1*e*f^-1*d^-1,
  f*e^-1*f^-1*e*f*d^-1*a*f^-1*a^-1*f*b^-1*f^-1*b*d,
  e*b^-1*e*b*d*b^-1*e^-1*b*e^-1*d^-1*f^-1*d*f*d^-1,
  c^-2*f^-1*d*f*d^-1*a^-1*e^-1*a*e*f*a^3,
  e^-1*b^-1*e*b*e*f*e^-1*f^-1*b^-1*e^-1*b*f*e*f^-1,
  c^-1*f^-1*a*c^-1*f*c^2*e^-1*f^-1*a^-1*f*e*a^-1*f^-1,
  d^-1*a*b^-1*c^-1*b*c*b*a*e*f*d*f^-1*e^-1*c^-1,
  c^-1*a*d^-1*a*f^-1*a*f*e*c*e*b^-1*e*b*e^-1,
  a*e*a^-1*(e*a)^2*a^2*f*a*e^-1*f^-1*a*e,
  e*b^-1*e*b*e*a^-1*c^-1*d^-1*c*a^-1*(f^-1*a)^2*f^-1,
  d*a*c^-1*d^-1*c*f^-1*(e^-1*a^-1)^2*e*a^-1*f*a^2,
  c^-1*d*c*f^-1*e^-1*f*b^-1*e*b*d*a^-1*e*a*e*f,
  b^-1*a*f*a*e^-1*f^-1*a*b*a*d^-1*a*f^-1*a*f*e*d,
  c^-1*e^-1*b^-1*e*b*f*e*c*f^-1*a*d^-1*a*f^-1*a*f*e,
  b^-1*f^-1*e^-1*f*b^-1*e*b*f^-1*b*c^-1*a^-1*f*a^-1*d*a^-1*c,
  b^-1*e*b*f^-1*e^-1*a*f*a^-1*e^-1*a*d^-1*f^-1*a*f*a^-2*e^-1,
  a*f^-1*a^-1*e*a^-1*e^-1*d^-1*a^-1*e^-1*a*d*a^-1*e^-1*f*e*a^-1*e,
  b^-3*f^-1*b*d^-1*b^-1*f*b*e*a^-1*e^-1*a*f^-1*c*f*c^-1,
  b^-1*e^-1*b*c*e*f^-1*e^-1*a*f*d*a^-1*f*c^-1*a*f^-1*a^-1*e,
  c^-1*d^-1*c*b^-1*e^-1*b*f^-1*e*f*d^-1*e^-1*a^-1*e^-1*a*d^-1*f^-1*d,
  f*e^-1*d^-1*a^-1*e^-1*f^-1*e^-1*a*f*d*a^-1*e*a^-2*f^-1*a*e^-1*a^-1,
  f^-1*c^-1*f*e*c*d^-1*a^-1*e*a*d*(a*c^-1*f)^2*c^2,
  b^-1*d*b*f*a^-1*e^-1*f*e*c^-1*a*c^-1*f*c*a^-1*d*c*e^-1*a,
  e*b^-1*e*b*e*d^-1*f*c^-1*f^-1*e^-1*b^-1*e^-1*b*e*f^-1*c*f*d,
  f*e*b^-1*e*b*e*d^-1*c*f^-1*a*d^-1*a^-1*e*f^-1*c^-1*f*e*d,
  d^-1*a^-1*e^-1*a*d*e^-1*f^-1*c*f*e^-1*c^-1*a^-1*e*a^-1*f*e^-1*f^-1*e*a^-1,
  d*f^-1*d^-1*f*b^-1*e^-1*b*f^-1*e*d*f*b^-1*a*f*a*e^-1*f^-1*a*b,
  (b^-1*a)^2*b*a*b^-1*e^-1*b*e*f^-1*a*f*a^-1*d*a^-1*e^-1*a*e,
  b^-1*e^-1*b*e*a*f*a^-1*f*d^-1*e^-1*f*b^-1*e*b*f^-1*d*c*f^-1*c^-1*f^-1,
  d^-1*e^-1*f^-1*(a^-1*f)^2*d*a^-1*d*a*d*e*f^-1*e^-1*a^-1*e*b^-1*e*b,
  e*b^-1*e*b*c^-1*f^-1*e^-1*a*f*a^-1*c*a*d^-1*e*f*e^-1*a^-1*e*c^-1*f^-1*c,
  f^-1*c^-1*f*c*b*e^-1*f^-1*e^-1*a*f*a^-1*c*e*c^-1*f^-1*e^-1*a*f*a^-1*e*b^-1,
  d^-1*f*e^-1*b^-1*e*b*f*c*e*f^-1*c^-1*b^-1*e^-1*b*e^-1*f^-1*d*f*e^-1*f^-1*e,
  b^-1*c^-1*b*c*b*f*e^-1*f^-1*e*b^-1*e*b*e^-1*d^-1*e^-1*f*d*f^-1*d^-1*c^-1*f,
  c*e^-1*b^-1*e*b*d^-1*e*f*e^-1*a*d*f*d*a*f*a^-2*e*d*f*c^-1*f^-1,
  a^-1*b^-1*f^-1*e^-1*a*f*a^-1*e*b*a*c^-1*f^-1*c*d*f*d^-1*e*f^-1*e^-1*a*f*a^-\
1,
  f^-1*b*f^-1*e^-1*a*f*a^-1*e*b^-1*a*f*a*e^-1*f^-1*a*b*d*e*a*f*a^-1*b^-1*e^-1
    ,
  d*a^-1*e*b^-1*e*b*d^-1*b^-1*f^-1*b*d*c^-1*f*e*c*b^-1*e*b*a^2*f^-1*a^-1*f,
  b^-1*c^-1*a*c^-1*f^-1*c*a^-1*c*f*b*c^-1*f*c*f^-1*e^-1*a*f^-1*a^-1*e*d*c^-1*\
f*c*d^-1,
  f*a^-1*b^-1*c^-1*b*c*b*a^-1*e*b^-1*e*b*e*d^-1*a^-1*e^-1*a*b^-1*f*b*c^-1*e^-\
1*f^-1*e,
  b^-1*d^-1*f*d*c^-1*f^-1*c*b*c^-2*f*(e*c)^2*d^-1*c^-1*f*c*d*a*c^-1*f*c*a^-1,
  f^-1*d*e^-1*f^-1*c*f*e^-1*c^-1*a^-1*e^-1*a*d^-1*a*f^-1*a*f*e*a^-1*c*e*f^-1*\
c^-1*f*e*f*a^-1,
  d^-1*a*b^-1*e^-1*b*f^-1*e*f*d^-1*a^-1*e*a*e*c^-1*f*c*f^-1*b^-1*e^-1*b*f^-1*\
a^2*f^-1*a^-1*f*d*a,
  (b^-1*a^-1)^2*b*e^-1*c^-1*e^-1*c*a^-1*e*f^-1*e*a^-1*f*a^-1*d*a^-2*e^-1*f^-1\
*e^-1*a*d*c^-1*f^-1*c*d^-1*f^-1,
  e*f^-1*c^-1*f*e*a^-1*e*a*c*b^-1*e*b*e*f^-1*d*f*d^-1*a*f*a*e^-1*f^-1*a*d*e^-\
1*b^-1*e^-1*b*e^-1*d^-1,
  e*a^-1*b^-1*e^-1*b*e^-1*d*f*d^-1*a^2*f*c^-1*f^-1*a^-1*c*e*b^-1*a*c^-1*f^-1*\
c*a^-1*f*a^-1*e^-1*a*b*d*a^-2,
  b^-1*e*b*a^2*f^-1*a^-1*e*f*a*e^-1*a^-1*(e*a)^2*d*f^-1*d^-1*f*b^-1*e^-1*b*f^\
-1*e*a^-1*c^-1*f*c*a^-1*f^-1*e*a^-1*f*e^-1,
  b^-1*e^-1*b*e^-1*d^-1*a^-2*e*a^-1*b^-1*e^-1*b*f*c^-1*f*e*c*b^-1*e*b*a^-1*e^\
-1*a*(e^-1*a^-1)^2*b^-1*e^-1*b*e^-1*d^-1*a^-1*e^-1*a*d*a^-1,
  d*a^-1*e^-1*a*e*d*f^-1*d^-1*c^-1*a^-1*f*a^-1*d*a^-1*c*e^-1*a^-1*e^-1*f^-1*e\
^-1*a*f*e*f*e^-1*a*f^-1*a^-1*d^-1*e^-1*b^-1*e^-1*b*f^-1*c^-1*f*e*c ],
[ [ a, c^-2, f*d^-1, f^-1*d, b^2*d, b*e^-1*b, b*f*e^-1*b^-1, b*f^-1*b,
      b^-1*c^-1*d^-1*b^-1, b^-1*d^-1*c^-1*b^-1, c*d^-1*b*c^-1 ] ]];
end,
[ 45 ]],
"PG1180980.2",0,1,1,45],
# 1180980.3
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^3, d^3, e^3, a^-1*e*f^-1*e^-1*a*f, (e^-1*f)^3,
  a^-1*f^-1*a*c^-1*f*c, (d^-1*f^-1)^3, (a^-1*f^-1)^3, (f^-1*e^-1)^3,
  (d^-1*e^-1)^3, (f^-1*d)^3, c^-1*a^-1*f*a^-2*c*f^-1, (e^-1*a^-1)^2*e^-1*a^2,
  a^2*f^-1*a^-3*f*a, f*e*f^-1*e^-1*f*e^-1*f^-1*e,
  c^-1*a*f^-1*a^2*f^-1*c*f^-1, f^-1*b^-1*f^-1*b*f*b^-1*f*b,
  c^-1*f*c*e^-1*a^3*f^-1*e, b^-1*f*b*f^-1*e*b^-1*f^-1*b*f*e^-1,
  e^-1*f^-1*a^-1*f*a*e*f*a^-1*f^-1*a, f^-1*c^-1*f^-1*e^-1*f*e*c*e^-1*f*e,
  d^-1*f*b^-1*f^-1*b*d*f^-1*b^-1*f*b, d^-1*f^-1*e^-1*f*e*d*f^-1*a*f*a^-1,
  d^-1*f^-1*a^-1*f*a*d*f*a^-1*f^-1*a, f*d^-1*f^-1*d*e^-1*d^-1*f*d*f^-1*e,
  e*d^-1*f*d*f^-1*c^-1*e*a^-1*f^-1*a*f*c,
  b^-1*a*b^-1*f^-1*b*a^-1*b*(f^-1*a)^2*a, c^-1*f^-1*a*c*a^2*f^-1*e*a*e^-1*a*f
    , b^-1*f*b*a^-1*f*a*b^-1*f^-1*b*a^-1*f^-1*a,
  a^-1*b^-1*f^-1*b*a^2*f^-1*a^-1*f*b^-1*f*b,
  a^-1*c^-1*a^-1*f*c*e*f*a*e*f^-1*a^-1*e,
  b^-1*f^-1*a^-1*f*a*b*c^-1*b^-1*f*b*f^-1*c,
  c^-2*f*d^-1*f^-1*d*e^-1*f*a*e*a^2, e*a*b^-1*f*b*e*a*e*b^-1*f^-1*b*a,
  b^-1*f*d^-1*f^-1*e^-1*b*e*a^-1*f^-1*e*a*f,
  f^-1*d^-1*b^-1*f^-1*b*f*e*d^-1*e*d*f*e*d,
  f*d*f^-1*c*f*c^-1*d^-1*e*f*c^-1*f*c*e^-1,
  b^-1*e*b*e^-1*f^-1*e*f*b^-1*e^-1*b*a*f^-1*a^-1*f,
  b^-1*e*b*f^-1*a^-1*f*a*b^-1*e^-1*b*f*a^-1*f^-1*a,
  a^-1*f^-1*a*f^-1*b^-1*c^-1*f*c*f*b*c*f*c^-1*f^-1,
  e*c^-1*f*c^-1*f^-1*e^-1*c^-1*f*c^2*f*b^-1*f*b*c,
  f*a*e^-1*a^-1*f^-1*e^-1*d^-1*a^-1*e^-1*b^-1*f^-1*b*a*f*d,
  b^-1*a^-1*f*a^-1*f^-1*e^-1*a^2*b*f*d*e^-1*d^-1*f^-1*d^-1,
  e*b*d*e^-1*d*f*d*b^-1*f^-1*b^-1*e*b*d*e^-1*d^-1,
  b^-1*e*b*d*e*d*b^-1*e^-1*b*e*a^3*e*d,
  b^-1*a^-1*f^-1*a*f^-1*b^-1*f^-1*b^2*a^-3*f*d^-1*f^-1*d,
  b^-1*f^-1*b*d*f*a^-1*f*a*d^-1*f^-1*a*f*d^-1*f^-1*d*a^-1,
  e*b*d*e^-1*b^-1*f^-1*b*f*e*d^-1*b^-1*e^-1*b*f^-1*b^-1*f,
  b^-1*f*b*d*a^-1*f^-1*e^-1*f*a^-2*d^-1*a^2*f^-1*e*a,
  b^-1*e*b*d*e*d^-1*a^-1*e^-1*f*a^-1*(a^-1*d)^2*a^-2,
  a*d*a^-1*e^-1*d*e*d^-1*b^-1*e^-1*b*e^-1*f*e*d^-1*f^-1*d,
  e^-1*f^-1*a*b^-1*f^-1*b*f^-1*e*a^-1*f^-1*e*a*e^-1*(f^-1*a)^2,
  f*d^-1*e*a*f*e*f^-1*a^-1*d*b^-1*f^-1*b*a^-1*e*f^-1*a^-1*f*a^-1,
  f^-1*a*f*d^-1*a^-1*b^-1*e*b*d*e^-1*d^-1*c^-1*f^-1*c^-1*f*c*e^-1*c,
  a*d^-1*f*a^3*c^-2*e*a^2*e*b^-1*e*b*d^-1*e*d,
  e*c^-1*a^3*b^-1*e*b*d^-1*e*d*c*d*e*d^-1*b^-1*e^-1*b,
  (b^-1*e*b*d*e^-1*d^-1)^3,
  b*d^-1*f*d*f^-1*b^-1*e*b*d*e^-1*d^-1*f^-1*d*f*e*d^-1*b^-1*e^-1,
  e*f^-1*b^-1*f*e*b*d*e^-1*d^-1*b*d*e^-1*d*f*d*b^-1*c*f^-1*c^-1,
  d^-1*b^-1*e^-1*b*f*e*f^-1*b^-1*e*b*d^-1*f^-1*d^-1*e^-1*f^-1*a^-2*f^-1*a^-1,
  e^-1*b*d*f*e^-1*f^-1*b^-1*e*b*d*e^-1*c*f*c^-1*f^-1*e*d*e*b^-1,
  f^-1*d*e*d^-1*b^-1*e^-1*b*d^-1*e*d*f^-1*d^-1*a^2*e*d^-1*a^-1*f*a^-1,
  b*d*e*c^-1*f^-1*c*f*d^-1*b^-1*e^-1*b*e^-1*f*b^-1*f^-1*e*d^-1*f*d*f^-1,
  c^-1*a^-1*f^-1*a*e*a^3*f*c*d*e*f*b^-1*f*b*c^-1*f*c*d^-1,
  e*f*d^-1*b^-1*e^-1*b*e^-1*c^-1*f^-1*c*f^-1*b^-1*f^-1*e*b*d*e^-1*d^-1*e*d*f^\
-1, f*d*e*d^-1*b^-1*e^-1*b*d*f^-1*d^-1*c*f*c^-1*e*f^-1*b^-1*e*b*d^-1*e*d,
  b^-1*f^-1*a^-1*f*a*d^-1*b^-1*f*b*d*b*d^-1*f*b^-1*f*b*d*a^-1*f^-1*a*f,
  e*d^-1*b^-1*e^-1*f^-1*e*b*d*c^-1*f^-1*c*f*e^-1*d*e*c^-1*f^-1*c*f^-1*e^-1*d^\
-1, d*e*b^-1*f*b*a^-1*f*a*f*(d^-1*e)^2*d*a^-1*f^-1*a*f^-1*b^-1*f^-1*b,
  e^-1*d*b^-1*e^-1*b*a^-1*e^-1*a*b^-1*e*b*d*e^-1*d^-1*a^3*f*c^-2*d^-1,
  c^-1*f*a*f^-1*a*e^-1*a*c*e*f*a*e^-1*a^-1*f^-1*e^-1*b^-1*d^-1*f*d*f^-1*b,
  b^-1*e*d^-1*b^-1*e^-1*b^2*d^-1*f*d*a^-1*e*a^-1*f^-1*d*a^-1*f*c^-1*e*f^-1*c,
  b*d*e^-1*d^-1*f*a*f^-1*a*e^-1*a*b^-1*e*b*d*e^-1*d^-1*b^-2*e*b*d,
  a*e^-1*a^-1*f^-1*e^-1*c*b^-1*f*b*c^-1*f*c*d^-1*f*d*e^-1*f*a^2*e^-1*a*c^-1,
  b^-1*f*d^-1*f^-1*d*e^-1*f*b*f^-1*e*d^-1*b^-1*e*f^-1*b*f*d*e^-1*f*c*f^-1*c^-\
1, c^-1*a*b^-1*c^-1*b*c*b*a*b^-1*e*b*d*e^-1*d*a^-1*f*a^-1*f^-1*e^-1*a^2*f,
  b^-1*e*f^-1*b*f*d*c^-1*f^-1*c*f*e^-1*d*e*d^-1*b^-1*e^-1*b*d^-1*f*c*f^-1*c^-\
1, a*d*a^-1*e^-1*f*a^-2*d^-1*f^-1*d*a*f^-1*a*e^-1*f*d*e*d^-1*b^-1*e^-1*b*e,
  f*b*f*d*e*d^-1*b^-1*e^-1*f^-1*b*d*e*d^-1*b^-1*e^-1*b*f^-1*d*e*d^-1*b^-1*e^-\
1, b^-1*c^-1*b*c*b*a^-1*b^-1*e*b*d*e^-1*d*f*a*e*a^-1*e^-1*c^-1*e*f*a^-1*f^-1,
  a*f*d*e*d^-1*b^-1*e^-1*b*f*d^-1*a*e^-1*a^-1*f^-1*e^-1*b^-1*e*b*d*f^-1*a*e*a
    ,
  b^-1*d*e*d^-1*b^-1*e^-1*b^2*e*f^-1*d*f*e*d^-1*b^-1*e^-1*b*a^-1*f^-1*a*f^-1*\
e^-1*f^-1,
  (b^-1*a)^2*b*a*d*e*d^-1*b^-1*e^-1*b*d*a^-1*f^-1*a*e*c*f*c^-1*a^-1*e^-1*a,
  c^-1*b^-1*c^-1*b*c*e*b*(d*e^-1)^2*c^-1*f^-1*c*b^-1*f^-1*b*f^-1*d^-1*a^-1*f*\
a*d,
  a*d*e*d^-1*b^-1*e^-1*b*a^-1*d*e*d^-1*b^-1*e^-1*b*d^-1*f*a*(f^-1*a*e^-1)^2,
  c^-1*a*d*e*d^-1*b^-1*e^-1*b*c*f*e*b*f*d*f*e*d^-1*b^-1*a*e*d^-1*f^-1*d*e,
  c^-1*d^-1*c*d*e*f*c^-1*f^-1*c*d^-1*b^-1*e^-1*b*d^-1*e^-1*d^-1*f*a*f^-1*a*e^\
-1*a*f^-1*d,
  f^-1*a^-1*f*c^-1*e*c^-1*f^-1*c^2*b^-1*f^-1*b*f^-1*a^-1*c^-1*d^-1*f*c^-1*f^-\
1*(c*e)^2*a^-1*d,
  b^-2*d^-1*a^-1*f^-1*a*f^-1*b^-1*f^-1*b*e*b^-1*e*d^-1*b^-1*e^-1*b^2*a*d*f^-1\
*a^-1*f*c^-1*e*c,
  (b^-1*a^-1)^2*f*b*f*a^-1*f*a*d*f^-1*a^-1*f^-1*c^-1*e*f^-1*c*a*f^-1*a^-1*c^-\
1*d^-1*f^-1*d*e^-1*c^-1,
  c^-1*d*c*(b^-1*e*b*d*e^-1)^2*d^-1*f^-1*e*f*b^-2*e*(b*d)^2*e^-1*d^-1*f ],
[ [ d, f, a^3, a*d*a^-1, a^-1*b^-2*a, a^-1*d*a, b*e^-1*b, b*f*e^-1*b^-1,
      b^-1*c^-1*d^-1*b^-1, b^-1*d^-1*c^-1*b^-1, c*a*c^-1*a, c*a^-1*c^-1*a^-1,
      c^2*b^2, a*b^-1*c*d*b^-1*a^-1 ] ]];
end,
[ 135 ]],
"PG1180980.3",0,1,1,135],
# 1180980.4
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^3, d^3, e^3, a*f*a^-1*e*f^-1*e^-1, (f^-1*e^-1)^3, (e*f^-1)^3,
  a^-1*f^-1*a*c^-1*f*c, (d*f^-1)^3, (d*f)^3, a^-1*f^-1*a^3*f*a^-2,
  a*f*a^-1*f^-1*e*f^-1*e^-1*f, a^-1*c^-1*f*c*a*e*f^-1*e^-1,
  f^-1*b^-1*f^-1*b*f*b^-1*f*b, a^2*d*a^-3*d^-1*a,
  c^-1*e^-1*c*e^-1*c^-1*e*c*e, d*f*d^-1*c^-1*f^-1*e^-1*c*e^-1,
  c^-1*a*f^-1*a^-1*(c*f^-1)^2*c^-1, f*b^-1*f^-1*b*a^-1*f*a^-1*f^-1*a^-1,
  e^-1*a^-1*f^-1*a*e*f^-1*c*f^-1*c^-1, f*c^-1*a^-2*b^-1*f^-1*b*a^-1*c,
  c^-1*f^-1*c*f*d^-1*f^-1*c^-1*f*c*d, d^-1*a*f*a^-1*f^-1*d*f*a*f^-1*a^-1,
  f^-1*e^-1*f*c*a*f^-1*a^-1*f*c^-1*e, a*f^-1*a^-1*c*f*c^-1*f^-1*a^-1*f*a,
  e*c^-1*f^-1*c*e^-1*a*c*f*c^-1*a^-1, f^-1*a^-1*f*a*e*c^-1*f^-1*c*f*e^-1,
  a*f^-1*(b^-1*f^-1*b*a)^2, d^-1*f*c*f^-1*c^-1*d*c*f*c^-1*f^-1,
  f^-1*e^-1*f*a^-1*e^-1*a*f^-1*a*f*e^-1*a^-1,
  a*f^-1*c*a^-1*e*a*e^-1*a*f*c^-1*f^-1, a^-1*e*a*d^-1*f^-1*a*f*a*e^-1*a*d,
  b^-1*f^-1*c^-1*f*c*b*c*b^-1*f*b*f^-1*c^-1,
  a^3*f^-1*e*f*a^-2*f^-1*a^-1*f*e^-1, b^-1*a*f^-1*a*f*a*b*a*f^-1*a*f*a,
  a^-1*c*e^-1*f*e^-1*a^-1*e^-1*f*a^-3*c^-1*f^-1,
  d*a*f*a^2*f^-1*e^-1*d^-1*c^-1*f*e^-1*c*f^-1,
  f*d*f^-1*d^-1*a*d^-1*f^-1*d*a^-1*(f^-1*a)^2*a,
  f^-1*a*e^-1*f^-1*e*d^-1*f^-1*a^-2*c^-1*d*c*a*e,
  b^-1*f^-1*b*c^-1*(f^-1*c)^2*f^-1*b^-1*f^-1*b*c^-1*f^-1,
  f*d*f^-1*d^-1*c*f*c^-1*f*c*e*a*c^-1*e*a,
  e*a*e*f^-1*e*a^-1*c^-1*f*e*d*a^-1*e^-1*a*d^-1*c,
  e^-1*a*e*a^-1*e*c^-1*f^-1*c*f*a*f^-1*e^-1*f*a^2,
  a^-2*d^-1*a*f*c^-1*f^-1*d*c*f^-1*a*f*d^-1*e*d,
  d*(a^-1*f^-1)^2*a^-1*f*d^-1*b*c^-1*e*c*e*f*b^-1,
  b*d*c^-1*f^-1*c*f^-1*d^-1*b^-1*e^-1*c^-1*f^-1*c^2*e^-1*c^-1,
  d^-1*f*a^2*f^-1*c^-1*d*c*a*d*a^-1*c^-1*d^-1*c*a,
  a^-1*b^-1*c^-1*b*c*b*d*a^-1*f*d^-1*f^-1*c^-1*e^-1*c^2,
  c^-1*d^-1*c*f^-1*a^-1*f*d*a^-1*d^-1*e^-1*d*f^-1*a^2*f,
  c^-1*d*c*a*f*d*f^-1*d^-1*a^-1*e*f*c^-1*f^-1*d^-1*c*e^-1,
  c^-1*f^-1*c*f*d^-1*e^-1*d*f*d^-1*f^-1*d*f*a^-1*f^-1*a^-2*e,
  b^-1*(a*f)^3*b*d*e*f*e^-1*d^-1*a^-1*f*a*f,
  c^-1*f^-1*d*c^-1*f^-1*c*f*c*f^-1*a^-1*e^-1*f^-1*e*d^-1*a^-1*e*a^-1,
  c^-1*e*a^-1*f*c^-1*a^-1*f^-1*a*c*e^-1*a*d*e^-1*f*e*d^-1*c^-1,
  c^-1*f^-1*d*c*f*a*f^-1*e^-1*a^-1*c^-1*d^-1*c*f*a^-2*e*a^-1,
  b^-1*d^-1*b*a^-1*c^-1*d^-1*c*(f*a)^3*e*f^-1*a*f,
  b*a*d^-1*a^-1*d*a^-1*f*a*d^-1*f^-1*b^-1*a*c*f*c^-1*a^2*f^-1*e,
  d*f^-1*c*f*c^-1*f^-1*d^-1*a^-1*e^-1*a*d^-1*f^-1*d*a^-2*f^-1*a*e*a,
  e^-1*f^-1*e*a^-1*e^-1*a*f^-1*d*f*e*f*e^-1*d^-1*f^-1*a^-1*f*d^-1*e*d*a,
  e^-1*c^-1*e*a^-1*c^-2*f*c*f^-1*d^-1*c*a*f*c*f^-1*a^-1*c^-1*d*c*a,
  b^-1*d*b*a^-1*f*c^-1*f^-1*d*c*e^-1*a^-2*d*a^-1*f*a*d^-1*e^-1*f^-1*e,
  a^-2*f*d*a^-1*f*c^-1*f^-1*d*c*a*d^-1*f*a^-1*f^-1*c^-1*d^-1*f*c*f,
  b^-1*a^-1*c^-1*d^-1*f*c*f^-1*a*b*a^-1*c^-1*d^-1*c*(f^-1*a^-1)^2*d*f^-1*d^-1
    , d*c*e*f*e^-1*f^-1*a*d^-1*f*d*a^-1*f*c^-1*f^-1*d^-1*c*a*f^-1*a^2*c^-1,
  b^-1*c^-1*b*c*b*a^-1*f*c^-1*f^-1*d*c*a*f^-1*d^-1*e^-1*c*a*f^-1*a^-1*c^-2,
  b^-1*a^-1*c^-1*f*c*f^-1*e^-1*a*b*a^-1*c^-1*d^-1*c*a*c*f*c^-1*d*e^-1*f^-1*e,
  a*b^-1*a*b*c^-1*d^-1*f*c*f^-1*a*d*c^-1*f*c*e*a^-1*e^-1*a^-2*b^-1*f^-1,
  b^-2*f*c*b^-1*f*b*f*c^-1*d^-1*e*a^-1*e*a*f*c*a*f^-1*e^-1*a^-1*c^-1,
  f^-1*e*a*c*f*c^-1*a*c^-1*d^-1*f*c*f^-1*a*e^-1*a^-1*f*c^-1*f^-1*d*c*a,
  f*c^-1*f^-1*d*c*f*a^-1*f^-1*e^-1*a^2*c^-1*a^-1*c^-1*d^-1*f*c*f^-1*a*c*a^-1*\
e^-1,
  e^-1*c^-1*d^-1*f*c*f^-1*a*d*f*d^-1*c*f^-1*c^-1*a^-1*e*f*c^-1*f^-1*d*f^-1*c*\
f, c^-1*d*f^-1*d*c*f^-1*a*d^-1*e*a*e*f*e^-1*f^-1*c*f*c^-1*a*f*e*d^-1*f^-1,
  a^-1*f*c^-1*f*c*d^-1*a^-1*c^-1*d^-1*f*c*f^-1*a*d*f*a^-1*c^-1*f^-1*d*c*f*a^-\
1,
  c*f*c^-1*f^-1*e*d*a*d^-1*a^-1*e^-1*f^-1*b^-1*f^-1*b*a^-1*c^-1*f^-1*d*c*a*e*\
d^-1, a*b^-1*c^-1*b*c*b*f*c^-1*f^-1*d^-1*e*c*e*f*d*f^-1*a*e^-1*f*e*c^-1*f,
  a*c^-1*d^-1*a^-1*f*a*c*f^-1*a*d^-1*a^-1*f*c^-1*f^-1*d*c*a*d*f*c*f*c^-1*a*f,
  a^-1*c^-1*f^-1*c*e^-1*f^-1*e*a^-1*f^-1*c^-1*d^-1*c*(f^-1*a^-1)^2*e^-1*d*f^-\
1*d^-1*f*a*f^-1*d,
  f^-1*(c^-1*f)^2*c*f^-1*d*c*e^-1*f^-1*c^-1*f*d^-1*f*c*f^-1*e*a*c^-1*e*c*e*a^\
-1,
  a*f*c^-1*f^-1*d*c*a*f*d^-1*c^-1*f^-1*c*b^-1*a^-1*e*f*c^-1*f^-1*c*a*f^-1*b*a\
*f,
  a^-1*f^-1*c^-1*d^-1*f*c*e^-1*f*e*c^-1*d^-1*f*c*f^-1*a*(a*f)^2*c^-1*d^-1*c*f\
^-1*a^-2*f,
  a*e*d*c^-1*a^-1*c^-1*d^-1*c^-1*f*c*f^-1*c*a*c*a^-1*c^-1*d*a^-1*f*a*c*f^-1*e\
^-1*a*d^-1*a^-1*e,
  d^-1*f*a^-2*c*f^-1*c^-1*a^-1*d*f*c^-1*f^-1*c*a*d^-1*(a^-1*c^-1)^2*f*c^-1*f^\
-1*c*d*c*a*c,
  d*c^-1*d*c*a*d*a^-2*f*a*e^-1*a*f^-1*e*f^-1*c^-1*f^-1*d*f^-1*c*f*e*c^-1*d^-1\
*c*a^2,
  c*a*c^-1*f*e^-1*c*f*e^-1*a^-1*f^-1*c^-1*d^-1*f*c*f^-1*a*c^-2*f^-1*c^2*f^-1*\
a^2*f^-1*c^-1*f^-1*d,
  b^-1*d*b*a^-1*f*c^-1*f^-1*d*c*a*f*b^-1*f^-1*d*e*f*a^-1*e^-1*a*f^-1*b^-1*a^-\
1*c^-1*d^-1*f*c*f^-1*a,
  b^-1*a^-1*f*c^-1*f^-1*d*c*a*b*c^-1*d^-1*a^-1*f*c^-1*d^-1*f*d^-1*c*f*a*d*c*e\
^-1*c^-1*f*c^-1*f^-1*c^2,
  c*a^-1*f^-1*c^-1*f^-1*d*c*a*d*(e*a^-1)^2*f^-1*a^-1*f^-1*b^-2*f^-1*b*c^-1*f^\
-1*c*f^-1*b*c^-1*d*a^-1*f^-1*a,
  b^-1*e^-1*b*d^-1*a^-1*f*c^-1*d^-1*f*d^-1*c*f*a*d*e*c*f^-1*c^-1*a^-1*c^-1*d*\
f*c*a*f^-1*a^2*f*c^-1*d^-1*f*c*f^-1*a,
  a^-1*c^-1*d^-1*f*c*f^-1*a*e*f*a^-1*c^-1*d^-1*f*c*f^-1*a*e^-1*a^-1*c^-1*d^-1\
*f*c*f^-1*a*f^-1*d*f*d^-1*e*f*a^-1*f*a*e^-1,
  c^-1*d^-1*c*a^-1*c^-1*d^-1*c*f*a*f^-1*c^-1*f*a^-1*f^-1*c^-1*d^-1*f*c*a*f^-1\
*c*a*d*a^-1*d^-1*a^-2*c*f*c^-1*e*f*a*e^-1*f^-1*c^-1*f*d^-1*c*e*c^-1*d*c*f*a*f\
^-1 ],
[ [ f*d, f^-1*d^-1, a*f*d^-1*a^-1, a*f^-1*d*a^-1, a^-2*d*a^-1, a^-1*b^-2*a,
      a^-1*d*a^-2, a^-1*f*a, b^2*d^-1, b*d*c*b^-1, b*d^-1*c^-1*b^-1,
      b*e*b^-1, b^-2*d, b^-1*d*c*b, b^-1*d^-1*c^-1*b, b^-1*e*b, c*a*c^-1*a,
      c*a^-1*c^-1*a^-1, c^2*d, c^-1*a*c*a, c^-1*b*d^-1*c^-1, a^2*b^-2*a^-2,
      a*b^2*d*a^-1, a*b*d*c*b^-1*a^-1, a*b*d^-1*c^-1*b^-1*a^-1 ] ]];
end,
[ 135 ]],
"PG1180980.4",0,1,1,135],
# 1180980.5
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^3, e^-1*f^-1*e*f, d^-1*f^-1*d*f, c^-1*f^-1*c*f, d*e^-1*d^-1*e,
  a^-1*c^-1*a^-1*c^3, (a^-1*f)^2*a^2*f, a^2*(f^-1*a^-1)^2*f^-1,
  d*a^-1*f^-1*a*d^-1*a^-1*f*a, a^-1*f*a*e*a^-1*f^-1*a*e^-1,
  f*a*f^-1*a^-1*f*a^-1*f^-1*a, a^-2*e^3*a^-1*e^-3, d^9, e^9,
  b^-1*e*f*b*e*b^-1*e^-1*f^-1*b*e^-1, e*d^2*e^2*f^-1*d*b^-1*f*b,
  d*b*f^-1*b^-1*e*d^-1*b^-1*f*b*e^-1, e*b*d^-1*b^-1*e^-1*f^-1*b*d*b^-1*f,
  b^-1*f^-1*b*d^-3*e^-3*f, e^3*a^-3*c^-1*e^3*c,
  c^-1*d^-2*a^-1*f^-1*a*f*d^-1*c*d^3, b^-1*d*e^2*b*f*b^-1*d^-1*e^-2*b*f^-1,
  b^-1*e^3*b^-1*d^-1*b*e^-3*b*d, e^-1*b*e^-3*b*e*b^-1*e^3*b^-1,
  e*a*f^-1*e^-1*a^-1*e^-2*a^2*f^-1*e^-1*a*f^-1,
  d^-1*b^-1*f*b*f^-1*d*a*d^3*f^-1*a^-1*f,
  d*f*e^-1*b*a^-1*f^-1*a*d^2*e^2*b^-1*d,
  f^-1*a^-1*e^-3*b*d^-1*e^-1*d^-1*b*f*a^-2*d^-1,
  f*a^2*f^-1*e^-1*a^-1*e*a^-1*d^-1*b^-1*e^3*b^-1,
  b^-1*e^3*b*f^-1*c^-1*e^-3*c*a^-1*f*a,
  d^-1*b*d*e^-1*b*d^3*b^-1*d^-1*e*b^-1*d^-2,
  b^-1*e*d^-1*b^-1*e^2*(d*b*e^-1)^2*e^-1*d^-1,
  f*c^-1*d^-1*c*d^-1*a^-2*f^-1*d^-1*a^-1*e*a*f^-1*a^-1,
  c^-1*d*c*d*a*d*f*a^2*f^-1*e^-1*a*f*a^-1,
  e^-1*b*e^-3*b*e^-1*d*e^-2*a*e*f^-1*a^-1*f,
  c^-2*b*e^-3*b*f^-1*a^-1*f*a*d*b^-1*f*b,
  b^-1*a*e^-3*a^-1*b*f^-1*a^-1*f*a*b^-1*f*b*f^-1,
  a*c^-1*f*a*c*f*b^-1*e^3*b^-1*d^-1*b^-1*f^-1*b*f,
  e*a^2*e^-1*a*e*f*a^-2*e^2*a^-1*f^-1*e^3,
  b^-1*e^3*b^-1*d^-1*e*a^-1*(e^-1*a)^2*e*f*a^-1*f^-1,
  b*e^-3*b*a^-1*f^-1*a*b^-1*e^3*b^-1*a^-1*f*a,
  f*e*a^2*f^-1*e^-1*a^-1*f*a^-2*e^2*f^-1*a^-1*e*a^-1,
  d*b*e^-3*b*a*e*a*f*e^3*a*e^2*f^-1,
  b^-1*d^-1*e^-1*f^-1*b*e^-1*f*d^-1*b^-1*f^-1*a*f*a^-1*b*e^-3,
  a^-1*b^-1*f^-1*e^-1*b*d^-1*a^-1*f*a*c^-1*e^3*c*a*e*d,
  a*d*a^-1*b^-1*d*b^-1*e^3*b^-1*d*e*b*f*a^2*f^-1*a,
  e^2*c^-1*b^-1*e^3*b^-1*d^-1*c*e*a*f*e^2*a^-1*f^-1*e,
  e*a*e^-1*a*e*f*a^-1*f^-1*d*a^2*b*f^-1*d^-2*b^-1*f*e,
  b*f^-1*a*e^-1*d^-1*a^-1*f^-1*b^-1*e^-1*f^-1*b*a^-1*f*a*d*b^-1*e^-1*f^-1,
  c^-1*b^-1*e^3*b^-1*d^-1*e*c*b^-1*e*d^-1*e^2*d^-2*b^-1*e*d^-1,
  c^-1*a*b^-1*c^-1*b*c*b*a*b^-1*e*f*b^2*e^-3*b*e^-2*d,
  c^-1*a^-1*d*b*e^-3*b*a*d*b*e^-3*b*c*d*b*e^-3*b,
  b^-1*d*b*a^-1*f^-1*a*e*b^-1*e*f*b*f^-1*a^-1*f*a*d^-2*a*e^3*a^-1,
  d^-1*b*e^-3*b*d^-1*c^-1*a*f*e^2*a^-1*f^-1*c*a^3*e^-1*a*f^-1*a^-1*f,
  c^-1*(b^-1*e^3)^2*d^-1*e*c*b^-1*e*d^-1*b^-1*e^3*a*e*d*a^-1,
  c*d^-1*a*e^-1*f^-1*b*d^-1*f*e*b*d*e*f^-1*d^3*f^-1*a^-1*f*c^-1*e^3,
  f*a^-1*b^-1*a^-1*b*f*a^-1*f*e^-4*d*f*b^-1*e*b*a*f^-1*a^-1*d^3*b^-1,
  a^-1*b*e^-3*b*e^-1*d*a*e^-3*a^-1*c^-1*d^-1*b^-1*e^3*b^-1*c*e^-2*a^-2,
  b^-2*f^-1*e^-1*b*d^-1*a^-1*f*a*b*a^-2*d^-1*f^-1*a^-1*b*e^-3*b*e^-1*d*a*f*a^\
2,
  b^-1*f^-1*e^-1*b*d^-1*a^-1*f*a*c*d*b*e^-3*b*e^-1*d^3*c^-1*e^3*c*a*e*d*a^2*c\
^-1,
  b^-1*a^-1*f^-1*a*d*b^-1*e*f*b^2*f^-1*b^-1*e*f*b*d*a*e^-1*a*f*e*a^-1*f^-1*e^\
3*a*f*e*a^-2*f^-1*e^2,
  a^-1*b^-1*c^-1*b*c*b*a^-1*b^-1*e^3*b^-1*e^2*d^-2*a*d*f*a*f*d^-1*b^-1*f^-1*b\
*d*a*e^-3*c^-1*e^3,
  e^-2*b*e^-1*d*b*c^-1*e^-1*b*e^-3*b*d*c*d^-1*a^-1*f^-1*a*d^-1*b^-1*e*a*f^-1*\
e^-1*f^-1*a^-1*e^3*d^-3*b^-1*d^-1,
  a^-1*d*a*e^-2*b^-1*e*d*e*b*c^-1*e^-1*b*e^-3*b*d*c*e*a*f*a^-1*b*d*e^-1*f^-1*\
a^-1*f*a*d^-1*e*b^-1*e^3,
  a*f^-1*a^-1*f*b*d*a^-1*f^-1*a*d^2*c^-1*e*d^-1*b^-1*e^3*b^-1*f*c*b^-2*e^3*b^\
-1*d^-1*e*b^-1*e^-1*f^-1*b*a^-1*f*a*d^-1,
  c^-1*e*d^-1*b^-1*e^3*b^-1*f*c*b^-1*e*d^-1*b^-1*e^3*a^-1*c^-1*f^-1*d*c*a^-1*\
f^-1*a*d*f*b^-1*f^-1*e^-1*b*d*f^-1*a*f^-1*d*e,
  a*f^-1*e^-3*b*e^-1*d*b*c^-1*b*e^-3*b*e^-1*d*f^-1*c*a^-1*f^-1*c^-1*d^-1*c*b*\
e^-1*d*f^-1*a^-1*f*a*d^-1*e*b^-1*e^-3,
  (b^-1*a)^2*b*a*d*c^-1*b^-1*e^3*b^-1*d^-1*e*c*e^-1*d*b*e^-3*d^-1*f^-1*b^-1*a\
*f^-1*d*e*a^-1*d^-1*a*f^-1*a^-1*e^4,
  d*f*b*e^-3*b*c*b*e^-3*b*d^-1*e^-1*d^-1*a*f*d*a^2*f^-1*d*e^-1*d^2*e*c^-1*d*e\
^-1*b*d^2*e^-2*b^-1*a^-1*f^-1*a*e^2,
  c^-1*a^-1*f^-1*a*d*b^-1*e*f*b*f^-1*a^-1*c*f^-1*a^-1*f^-1*b^-1*e^-1*b*d^-1*e\
*d^-2*a^-1*f*a*d^-1*b^-1*e^-1*f^-1*b*d^-1*f*b^-2*f^-1*e^-1*b*d^-1*a^-1*f*a*b,
  c^-1*b^-1*c^-1*b*c*e^3*b^-1*e*d^-2*a*d*f*a^2*b^-1*e^3*b^-1*e*d^-4*f^-1*a*f*\
e^-1*a*b*e^-3*b*e^-1*d*a^-2*d^-1*b^-1*e^3*b^-1*e^2 ],
[ [ a, f, b^2*d, b*f*e^-1*b^-1, b^-2*d^-1, b^-1*c^-2*b^-1, b^-1*d*e^-1*b^-1
     ] ]];
end,
[ 180 ]],
"PG1180980.5",0,1,1,180],
# 1180980.6
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^3, d^-1*f^-1*d*f, d*e^-1*d^-1*e, c^-1*f^-1*c*f, e^-1*f*e*f^-1,
  a^-1*c^-1*a^-1*c^3, a^-1*f*a^2*f*a^-1*f, f^-1*a^2*(f^-1*a^-1)^2,
  d^-1*a*f^-1*a^-1*d*a*f*a^-1, d^-1*b^-1*f*b*d*b^-1*f^-1*b,
  a^-1*e*a*f^-1*a^-1*e^-1*a*f, e^-1*a^-3*e*a^3, c^-1*a*f*a^-1*c*a^-1*f^-1*a,
  e^9, a^-2*e^-3*a^-1*e^3, c^-1*e*c*e*b^-1*d^-3*b, d^9,
  a*(e*a^-1)^3*f^-1*a^-1*f, f*a*f*d^3*a^-1*f^-1*b^-1*f^-1*b,
  b*d^-1*f^-1*d^-2*b^-1*a*e^-1*f*e^-2*a^-1,
  a*f^-1*a^-1*d^-2*f*d^-1*c*d^3*c^-1, d*a^-1*e^-3*a*b^-1*f^-1*b*d^2*f,
  e^3*a^-1*f*a*e^-3*a^-1*f^-1*a, f^-1*b^-1*d^-1*f*a^2*e^2*a*c^-1*e^-1*c*b^-1,
  (e^-1*a^-1)^2*e^2*a*e^-1*f^-1*e^-2*a*f,
  b^-1*f^-1*b*c^-1*f^-1*c^-1*e*a^2*f^-1*e^2*a*f,
  e^-1*c^-1*a^3*e^2*c*b^-1*f^-1*b*a*f*a^-1,
  a^-1*f^-1*c^-1*d^-1*c*a*d^-1*a^-1*f*c^-1*d*c*a*d,
  a^-1*f^-1*c^-1*d^-1*c*a*e*a^-1*f*c^-1*d*c*a*e^-1,
  a*e^-1*d*e^-1*a^2*e*a*e^-1*d^-1*a^2*e^2,
  d^-1*b*d*f*d^2*b*d*b^-1*d^-1*f^-1*d^-2*b^-1,
  f*d*c*e^-3*c^-1*d^-1*c*f^-1*e^3*c^-1, e^-1*b*d^4*a^2*e*a*e^-1*b*e^-2,
  a*c*f^-1*c*a^-1*b^-1*d^-2*f^-1*(d^-1*b^-1)^2*f*b,
  c^-1*a^-1*e^-3*a*c*a^-1*e^3*a*e^3,
  b^-1*a^-1*e^-3*a*b*c^-1*a^-1*e*f*e^2*a*f^-1*c,
  a^-1*f^-1*e^-1*a^-1*f*e^3*a*e^2*a^-1*e^-2*a^-1*e,
  b^-1*a^2*e^2*a*b*d^-1*a^-1*f*c^-1*d^-1*c*a*f^-1*d^-1,
  d^2*a^-1*c^-1*f^-1*d^-1*c*a^-1*e^3*f*d*a^-1*e^2*d,
  a*e*f*a^-1*f^-1*a^-2*e*(a*e^-1)^2*a^-1*e^-3*a,
  f*a*f^-1*c*(e*d^-1)^2*d^-1*a^3*c^-1*e^2*a^2,
  c^-1*e^-3*a*(a*e)^2*e*c*a^2*e^2*a*e,
  b^-1*c^-1*b*c*b*f*a*f*d^-1*e^-1*c^-1*d^-1*c*e*d^-1*c^-1*a*f,
  c*e^-1*a^-2*e^3*(a*e^-1)^2*c^-1*e^-1*a^-1*e^-2*a^-2,
  a*f^-1*a^-1*e*f*e^2*c^-1*d^-1*c*e^-3*c^-1*a*f^-1*a^-1*f*d*c,
  c^-1*f^-1*d*c*d*a^-1*c^-1*f*d*c*e^-2*a^-1*e^-3*f*a^2*e,
  d^-1*f^-1*d^-1*a^-1*c^-1*d*f*c*e^-3*a*f*a*f^-1*d^-1*a^-1*e^-2*d^-1,
  c^-1*d^-1*c*d^-1*a^-1*f^-1*c^-1*d^-1*c*b*d^3*f*b^-1*f*e^-1*a*f*e^-1,
  (e^-1*a^-1)^2*d*b^-1*f^-1*b*e*d^2*e*a*f*e^-3*a*e^-3,
  b*e^2*d^-3*a^2*c^-1*d^-1*c*a*c^-1*a^-1*e^-3*a*c*b^-1*e,
  c^-1*d^-1*c*e^3*a*b*d*f*d^2*b^-1*a^-1*f*c^-1*d*c*a*f*a^2,
  e*a*d^4*a^-1*e*f*e^2*a^-1*e^3*c^-1*d^-1*c*a*f^-1*a^3*e,
  f^-1*e^-1*a^-1*e^-1*f*e^-2*c^-1*d*c*f*a^-2*e^-2*a*d^-4*f^-1*a^-1*e^-2,
  d^-1*f^-1*d^-1*b^-1*f*b^2*f^-1*a^-1*f*e^-3*c^-1*d*c*e*a^3*e*f^-1*a*f*b^-1,
  b^-1*f^-1*a^-1*e^-1*f*e^-2*c^-1*d*c*a*b*a^-1*e^-3*c^-1*f*d*c*a^2*f^-1*a^2,
  (b^-1*a^-1)^2*b*a^-1*e^-3*a^2*f^-1*e*a*f*d^3*f^-1*a^-1*c^-1*d*f*c*a,
  d^-1*c*a^-1*f^-1*e^3*d^-1*a^-1*e^-2*d^-3*e^-3*d^3*f^-1*a^-1*f^-1*c^-1*d^-1,
  b^-1*e^-1*b*d^3*e*f^-1*a^-1*c^-1*d*f*c*e^-3*a*f^-1*c^-1*a^-1*f*e^3*a*c,
  d*a*d*a^-1*e^2*a*f^-1*e^-3*a^-1*f*c^-1*d*c*f^-1*a*e^-1*f^-1*d^3*e^3*a^-1,
  a*b^-1*a*b*c^-1*f^-1*d^-1*c*e^3*a*d*f*e*a^-1*c^-1*d^-1*c*e^3*f^-1*a*f*b^-1*\
d^-1,
  b^-1*d^-1*b*a^-1*e*a^-1*e^-3*a*c^-1*f^-1*d^-1*c*e^3*a*f*b*d*e*d^2*e^2*b^-1,
  b^-1*e^-3*a^2*e*a*b*d*f^-1*a^-1*c^-1*d*f*c*e^-3*f*a*f*d*f*a^-1*e^3*a,
  c^-1*b^-1*c^-1*b*c*b*d^-1*a^-1*e^-1*f*e^-2*c^-1*d*c*a*e^-1*d^-3*f*a*f^-1*e^\
3*a^-1*e^-3,
  a*f^-1*d*c^-1*d*c*e*a^-1*f^-1*e^2*a^-1*e^-3*a*b*d^-3*f^-1*b^-1*f*c^-1*d*c*e\
*a^3*e,
  a^-1*d^-1*a*e^-1*d^-1*e^-2*a^2*e*c^-1*d^-1*f^-1*c*b*d^3*f*b^-1*a^-1*e^-2*f^\
-1*e^-1*a^2*d^-3*e^-2,
  b^-1*c^-1*b*c*b*a^-1*d^-1*a^-1*e^-1*a^-1*f*a^-1*e*f^-1*e^2*d*a^-1*e^-3*c^-1\
*f*d*c*e^3*a*d^2*c^-1*a^-1*e^-3,
  c^-1*a^-1*f^-1*c^-1*d^-1*c*e^3*a*f*c*e*f*a^-1*f*c^-1*d^-1*c*f^-1*e^-1*a*f*a\
^-1*e^-2*c^-1*d^-1*f^-1*c*a*f^-1*a^-1*e^3*a,
  f^-1*a*f*a^-1*f^-1*a^-1*c^-1*f*d*c*e^-2*a*f^-1*a^-1*e^-1*c^-1*f*d*c*a*e^3*d\
^-3*f^-1*a^-1*e^-3*c^-1*f*d*c*a,
  f^-1*c^-1*a^-1*c^-1*d*f*c*e^-3*a*c*e^2*a^-1*e^3*a*b^-1*d^-1*b*e^-1*a*f^-1*a\
^-1*c^-1*d^-1*c*d^-1*f*a^-1*e^-2*f^-1*e^-1*a ],
[ [ e*a, e^-1*a^-1, f, a^3, a*c^2, b^2*d, b*d^-1*b, b*e*b*a, b^-1*c^-2*b^-1,
      d*a*d^-1*a^-1, b*a^3*b^-1*a ] ]];
end,
[ 180 ]],
"PG1180980.6",0,1,1,180],
# 1180980.7
[[1,"abcde",
function(a,b,c,d,e)
return [[ d*e^-1*d^-1*e, (e^-1*c^-1)^2*(e*c)^2, a*e^-1*a^-1*e^-1*a*e*a^-1*e,
  d^-1*a^-1*e^-1*a*d*a^-1*e*a, a*d^-1*a^-1*d^-1*a*d*a^-1*d, d^9, e^9,
  a*e^4*a^-2*e^-2*a*e, d^-1*a^-1*c^-1*e^-1*c^-1*a*d*a^-1*c*e*c*a,
  c*e*c*a*e*a^-1*c^-1*e^-1*c^-1*a*e^-1*a^-1, a^-3*e^3*a^3*e^-3,
  d^-1*a*e^-3*a^-1*d*a*e^3*a^-1, c*a^-1*e*c^-3*a*e^-1*c^-1*a^-1*e^-1*c*e,
  a^-3*e^2*(a^-3*e^-1)^2, c^-1*a^-1*c^3*(e^-1*a)^2*e^-1*a^-3,
  b^-1*e^3*b*e^-1*c^-1*e^-1*c*a^-1*e^3*a,
  d^-1*c^-1*e^-1*c^-1*a*e*a^-1*d*a*e^-1*a^-1*c*e*c,
  c^2*a^-1*e^3*a*c^-2*a^-1*e^-3*a, e^3*a^-1*e^3*a*c*a^-1*e^-3*a*c^-1,
  d^2*e*b^-1*c^-1*a^-1*e^-3*a*c*b*d*e^2,
  e^-3*a^-1*(c*e)^2*(e*a^-1)^2*c^-1*e^-1*c^-1,
  c^-1*a*e*a^-1*e*c^-1*(e^-1*a^-1)^2*e^-1*c*e*c*a^2,
  c^-1*a^-1*c^-1*e^-1*c^-1*e*a*e*c*e^-1*a^-1*e^-1*c*e*c*a,
  e^2*a^-1*e^-1*c*e*c*a^2*c^-1*e^-1*c^-1*e*a*e^-2*a,
  a*c^-1*e*a*e*a^-1*d^-1*e*d^-2*c^-1*e^-1*a^-1*e^-1*c*e*c,
  e^-2*d*a*e^-1*a^-1*c*e*c^-1*a*e*a^-1*e^2*d^-1*c^-1*e^-1*c,
  a*e^-1*a^-1*e^-1*c^2*e*c*e^-1*a*e^-1*a^-2*c*e*c*e^-1*a*c,
  e*c^-1*e^-1*c^-1*a*e*a^-1*c^-1*e^-1*c^-1*e*c^-1*e^-1*c^-1*a*e^2*a^-1*e,
  a*c*e^-1*c^-1*a^2*(e*a^-1)^2*e^-2*c*e*c^-1*a^-1*e^3,
  c^-1*(e*a*e)^2*a^-1*c^-1*e^-1*(c^-1*a^-1)^2*e*c^-1*e^-1*c^-1*a,
  b^-1*c^-1*e^-1*c^-1*e*a*e*a^-1*b*e^-1*a^-1*e^-1*c*e*c*a*e^3,
  e^-1*d^-1*a^-1*(c*e)^2*e*a*b^-1*a^-1*c^-1*e^-1*c^-1*e*a*e*b*d^-2,
  a*d*a^-1*e^-1*a^-1*c^-1*e^-1*c^-1*e*a^2*d^-1*a^-1*e*a^-1*e^-1*c*e*c*a,
  c^2*e*c*e^-1*a^-1*(c^-1*e^-1)^2*e^-1*a*c^-1*b^-1*a^-1*e^-3*a*b^-1*d^-1,
  d^-1*e^-1*a*e^-1*a^-1*c*e*c*d^-2*c*d*a^-1*c^-1*e^-1*c^-1*e*a*d*e*d*c^-1,
  c^-1*e^-1*c^-1*a*e^-1*c*e*c*a*e^-1*c^-1*e*a^-1*e*(e*c)^2*a*c^-1*a^-2*e^-2,
  b^-1*d*b*a^-1*e^3*a*b*e^-1*b*e*a*d^-1*a^-1*c*a^-1*e^3*a*c^-1*e*d*e^2,
  b^-1*e^-1*a^-1*e^-1*c*e*c*a*b*e^-1*d*a^-1*e^-3*a*d*e*d*a^-1*c^-1*e^-1*c^-1*\
e*a*e,
  b^-1*e*c*e^-2*a*e^-1*a^-1*c*e^-1*b*c^-1*e^-1*c^-1*(e*a)^2*e^-3*a^-2*d^-3,
  b^-1*a^-1*c*e^-1*a*e^-1*a^-1*c*a^-1*e^-2*c^-3*a*e^-1*c^-1*d^-1*e^2*b^-1*a^-\
1*e^-3*a, e^-4*d^2*a^-1*e^-3*a*d*a*e^-1*c^-1*e^-1*c*a^-1*e^-2*a^2*e^-3*a,
  a^-1*d^-3*e^-1*a^-1*(c*e)^2*e*a*c*e*c*e^-1*a*e^-1*d*e^-1*a^-1*c*e*c*e^-1*a*\
d^2,
  a^2*e^-3*a^-1*d*a^-1*e^-4*c*e*a^-1*e^2*(e*a)^2*d^-1*a^-1*d^-1*e*d^-2*c^-1,
  e^3*a^-2*e*a*e^-2*d^2*a^-1*e^3*a^2*e*a^-1*c*a^-1*e^3*a*c^-1*d^-2*a,
  c*e*c*e^-1*a*d^-1*e^-1*a^-2*(c^-1*e^-1)^2*e^-1*a*c^-1*e^2*c^-1*e^-1*c^-1*a*\
d*c*e*c*a*e^-1*a*c,
  b^-1*d^-1*b*a*d^-1*a^-1*c*a^-1*e^3*a*c^-1*e*d^-3*a^-1*c^-1*a^-1*e^3*a*c*e*a\
*d^3,
  c^-1*e*a*e^-2*c*e^-1*a*e^-1*a^-1*c*(a^-1*e^-1)^2*a^-1*c^-1*e^-1*c^-1*e*a^2*\
e^-1*a^-1*e^2*(e*c)^2*a*c^-1*e^-1,
  (b^-1*a^-1)^2*b*a^-1*d*e*b^-1*a^-1*e^-3*a*b^-1*a*d*a^-1*d^4*e^-4*a*(e^-1*a^\
-1)^2*e^-1*a,
  e*b*c^-1*e^-1*c^-1*e^2*a*d^-1*e^-2*a^-1*e^-2*a*e^-1*a^-1*c^2*e^-1*b^-1*c^-1\
*e^-1*c^-1*a*e*a^-2*e^-1*c*e*c*a,
  a*c^-1*a*c*b^-1*a^-1*e^-3*a*b^-1*a^-1*e*c^-1*e^-1*c^-1*a*d^-1*e*(a^-1*e^-1)\
^2*a^-1*d^3*e^2*a^-1*e^3*a,
  (b^-1*a)^2*b*a*d*(c^-1*e^-1)^2*a*c*e*c*a*e^-2*a*c^-1*a^-1*e^3*a^2*d^-1*a^-1\
*e^4*c*e^-2,
  e*d*a^-1*e^-2*d*(e^-1*a)^2*e^2*c*a*e^-1*a^-1*e^-1*c*a^-1*b^-1*(a*e)^3*e*b*d\
^3*a^3*e^2,
  e^-1*d^-1*a*e*d^-1*b^-1*e^-1*(e^-1*a^-1)^3*b*(e*a^-1)^2*a^-1*e^2*a^-1*c*e*c\
*e^-1*b^-1*e^-1*a^-1*e^-1*c*e*c*a*b*e^-2,
  d*b*a^-1*e^3*a*b*a^-1*c^-1*e^-1*c^-1*e*a^2*e^-1*d*a^-1*e^-1*c*e*c*a*b*a^-1*\
e^3*a*b*e^-2*a*e^-3*a^-2,
  b^-1*d*b*a*(e^-1*c^-1)^2*a*e*a*c^-1*e^-2*a^-1*e^-1*c*e*c*e^-3*a^2*d*a^-1*e^\
-3*c*a^-1*e^-3*a*d^-3,
  a*e^-3*a^-2*c^-1*a*d^-1*a^-1*e^4*a^-1*e^3*c^-1*e^-1*(c^-1*e*a)^2*e*a^-1*c^-\
1*e^-1*c^-1*e*a*d*e*b^-1*d^-3*b,
  (c*e)^2*e*a*c^-1*a^-3*e*c^-1*e^-1*c^-1*a*e*a*c*(c*e)^2*e*c*a*c^-1*e^-1*c^-1\
*a*e^2*a^-2*e^3*a*c^-1*e*a^-1,
  e*d^-3*(d^-1*a^-1*e^3)^2*a*d^-3*a^-2*(e^-1*c^-1)^2*e^-1*(a^2*e)^2*d^-1*a^-1\
*e*c*a^-1*e^3*a*c^-1,
  e*b*e^-1*a*d*a^-1*e^-1*d^3*a^-1*e^-3*a*e^-1*a^-1*c*a^-1*e^3*a*c^-1*e*a*d^3*\
b^-1*d^2*a^2*e^-3*a^-1*d*a^-1*e^3,
  e^-4*d^2*a^-1*e^-3*(a*d)^2*a^-1*e*a^-1*c^-1*e^-1*c^-1*d^3*a*d*a^-1*d*e^-2*a\
^-1*e^-1*c^-3*a*e^-1*c^-1*e*a^-2*e^3*a^-1,
  d*a^-1*b*d*e^-3*d^2*a^-1*e^-2*(e^-1*a)^2*d*(e*a)^2*e*b^-1*c^-1*e^-1*c^-1*a*\
e*a^-2*(c*e)^2*e*a^-2*e^2*a*e*c*e*c^-1,
  c^-1*a^-1*b^-1*c^-1*b*c*b*a^-1*d*e^-3*d*a^-1*e^-3*a^2*d*a^-1*e^-2*d^-1*a^-1\
*e^-1*c*e*c*d^3*a*d*a^-1*c*a^-1*e^-3*a*c^-1*e^-1*a,
  c^-1*a*b^-1*c^-1*b*c*b*e^-1*a^-1*e^-1*c*e*c*a*e^-3*a*d^2*a^-1*e^-1*c*e*c*a^\
2*d*a^-1*e^4*a^-1*c*e*c*a^-1*e^-1*a^-1*(c*e)^2*e,
  c^-1*b^-1*c^-1*b*c*b*d*a*d*a^-1*e^-1*d*c*a^-1*e^-3*a*(c^-1*e^-1)^2*a^-1*c*e\
*c*e^-1*a*e^-1*c^-1*a*e*a^-1*d^-1*a^-1*e^-1*c*e*c*a*d^-2*a^-1*e^-3*a,
  c^-1*a*d^-1*a^-1*e^3*(e*a^-1)^2*e^-1*c*e*c*a*e*a*c*a^-1*c^-1*e^-1*c^-1*e*a*\
e^-2*a^-1*e^-2*c^-3*a*e^-1*c^-1*e*d*(a^-1*e^-1)^2*c*e*c*a*d^3,
  e*c^-1*e^-1*c^-1*a^2*e^3*a^-1*b*d^3*a*d*a^-1*c*a^-1*e^-3*a*c^-1*d^-2*(d^-1*\
e^-1)^2*a^-1*c*e*c*e^-1*a*b^-1*a^-1*e*c^-1*e^-1*c^-1*a^2*e^-1*a^-1*(c*e)^2*a^\
-1*e,
  b^-1*a*d^-1*a^-1*c*a^-1*e^3*a*c^-1*e*d^-3*b*d^3*a*d*a^-1*c*a^-1*e^-3*a*c^-1\
*d*e^-1*d^2*c*a^-1*e^-3*a*c^-1*a*d*a^-1*e^-1*a^-1*c^-1*a^-1*e^3*a*c*a,
  b^-1*e^-4*d^2*a^-1*e^-3*a^2*d*a^-1*d*b*a^2*e*a^-2*(c*e)^2*e^2*a^3*c*a^-1*e^\
3*a*d^3*a*d*a^-1*e^-3*a^-1*b^-1*e*a*e*a^-1*c^-1*e^-1*c^-1*b*a*c^-1,
  c^-1*d*c*a*b^-1*d*b*a*e^3*a^-1*d^-3*a^-1*e^-1*d*c^-1*a^-1*e^3*a^2*d^-1*a^-1\
*e^4*c^-1*e^-1*c^-1*a*e*a^-1*e*c*e^-1*a^-1*e^-1*c*e*c*e^-3*a^2*d*a^-1*d^-1*a^\
-1*e^-3*a,
  a*d^-1*a^-1*c*a^-1*e^3*a*c^-1*a*d^-1*a^-1*d^-1*e*(e*d^-1)^2*c^-1*a^-1*e^3*a\
*c*e*d^-3*a^-1*e^3*a^2*d^-1*a^-1*e^2*a^-1*c^-1*e^-1*c^-1*e*a*e*a^-2*b^-1*c*e*\
c*a*e^-1*a^-1*e^-1*b*a^2,
  c^-1*d^-1*c*d^-1*e^-1*a^-2*e^-3*a*e*(e*a)^2*d^-1*a^-1*e*(e*d^-1)^2*c*e*c*a*\
e^-1*a^-1*d^-1*e^-1*a^-1*c^-1*e^-1*c^-1*e^4*a*e*b^-1*a^-1*c^-1*e^-1*c^-1*e*a*\
e*b*c^-1*e^-1*c^-1*a*e*a^-2*e^-1*c*e*c*(a*e^-1)^2*a^-2*e^-1*a ],
[ [ a, b^2*d, b*e*d*b^-1, b^-2*d^-1, b^-1*e*d*b, c*a^-1*c, c^2*e^-1,
      c*e*a^-1*c^-1, c*e^-1*c, c^-1*a^-2*c^-1, d*a*d^-1, d*c*d^-1*c^-1,
      b*a*d*a^-1*b^-1, b*a^-1*b^-1*e^-1*a^-1*b^-1, b*a^-1*d*b*a^-1*b^-1,
      b*a^-1*d^-1*a^-2*b^-1, b*a^-1*e*a^-2*b^-1 ] ]];
end,
[ 180 ]],
"PG1180980.7",0,1,1,180],
# 1180980.8
[[1,"abcde",
function(a,b,c,d,e)
return [[ e*a^-1*(e*a^2)^2, d^-1*e^3*d*e^-3, e^-1*d^-3*e*d^3,
  e^-1*a*e^-1*c^-1*a^-1*e*a*c*a^-1, e^9, a*d^-1*a^-1*b^-1*e*b*d^3,
  d^3*b^-1*e*b*a*d^-1*a^-1, b^-2*d^-4*e*a^-1*e^-1*a, b^-2*d^3*b^2*d^-3,
  c^-1*e^-1*a*e*a*e^-2*a*c*e, e*d*e^-1*b^-1*e^-1*b*d^-1*a*d*a^-1,
  a^-1*c*e*c^-1*a*e^2*a^-1*e*a*e, (e^-1*a^-1)^2*c^-1*e*c*a^-1*e^-3,
  (e^-1*a^-1)^2*e^-1*(a*e)^3*a^-1, b^-1*d*b*a*d*a^-2*c*e*c^-1*a*e^-1,
  d^-3*c^-1*e^-1*c^-1*d^3*c*e*c, c*e*c^-1*a^-1*c*e^-2*c^-1*a^-1*e^2*a^2,
  b*a*b^-1*a*b*a*b^-1*a^-1*e*a*b*d^-2,
  d*a^-1*b^-1*a^-1*e*a*b*d^-1*e*(a^-1*e^-1)^2,
  e^-1*a*c^-1*e^-1*c^-1*e*a*e*a^-1*e^-1*a^-1*c*e*c,
  a^-1*e^-1*c^-1*a^-1*e^-3*a*c*e*a*e^-3, e^-1*c^-1*a*e^3*a^-1*c*e*a^-1*e^3*a,
  e^-1*d*a^-1*e^-3*a*d^-1*e*a^-1*e^3*a,
  c^-1*e^-1*c^-1*(e*c)^2*b^-1*e^-1*b*e^-1*b^-1*e*b,
  b^-1*a^-1*e^-1*a*b*e^2*b^-1*e^-1*b*e^2*d^-2,
  e^-2*b^-1*e^-1*b*e*b^-1*e^2*b*e*b^-1*e^-1*b,
  b^-1*e*b*e*b^-1*e^-1*b*a*e*c^-1*e*c*a^-1*e^-1,
  e*c^-1*e^-1*c^-1*a^-1*e^-1*a*e*a^-2*e^-1*a^-1*c*e*c,
  a^-1*e^-1*a^-1*c*e^-1*a^-1*c^-1*e^-1*c^-1*a^-1*e^-1*a^2*c*a^-1,
  e^-1*a^-1*d^-1*a^-1*b^-1*a^-1*e^-1*a*b*d*a*e^2*a^-2,
  e^4*c^-1*e^-1*c^-1*e*c*a*e^-3*a^-1*c,
  d^-1*c^-1*e^-1*c^-1*a^-1*e^-1*a*d^-2*a^-1*e*a*c*e*c,
  e*b^-1*e^-1*b*e^2*a*d^-2*a^-2*e^-3*a, b^-1*e^-1*b*(a*e)^2*a*b^-1*e*b*e^4,
  e^-1*a*c^-2*e^-1*c^-1*a*e*a^2*c^-2*e^-1*c^-1*a^-1*e^-1,
  a^-1*c*e*d^-3*c*e*c*a^-1*c^-1*a*e^3*a^-1,
  a^-1*e^-1*a*c^-1*a*e^-3*a^-1*e*a^-2*e^-1*a^-1*c*e,
  d^-1*a^-1*e^-1*a*d*a^-1*c^-1*e^-1*c^-1*e*c*e*c^-1*a*c^2,
  b^-1*a^-1*e*a*e*b*e^-2*d^-1*a*e^-1*a^-1*e*a*e*a^-1,
  c*e*b^-1*e^-1*b*e^2*c^-1*e^-3*b^-1*e*b*e^2,
  d*c*e^-2*b^-1*e*b*e^-2*d*e*a^-1*e^2*a*c*e,
  d*a^-1*e*a*(c*e)^2*d^-1*c^-1*a^-1*c*e*c^-1*a*e^-1*c^-1,
  (b^-1*a^-1)^2*b*a^-1*e^-2*b^-1*e*b*e^-2*a^-1*e^-2*a,
  a*d^-1*a^-1*e*a*b^-1*d^-3*(a*b)^2*a^-1*e^2*a,
  b^-1*e*b*e*a^-1*e^-3*a*e^-1*b^-1*e^-1*b*a^-1*e^3*a,
  e^-1*c^-1*a^-1*e^-1*a*c^-1*e*a^-1*e^2*a*c*e*c*a*e*a^2,
  b^-1*c^-1*e^-1*c^-1*a^-1*e^-1*a*b*d*a^-1*(a^-1*e^-1)^2*c*e*c*d^-1,
  (c^-1*e^-1*c^-1*a^-1*e^-1*a)^3,
  b^-1*d^-1*a^-1*e*a*b*d^2*e^-1*a^-1*e*a*e^-2*a^-1*e^3*a,
  a*e*a*c*e^-1*a*e^-1*a^-1*e^-1*a*e*a^-1*e^3*a^-1*c*d*b^2,
  b^-1*e*a^-1*e^-3*a*e^-1*b*e*a^-1*e^-1*a^-1*e^2*a*(e^-1*a^-1)^2,
  a*b^-1*c^-1*b*c*b*a*e^-2*d^-1*a*d*a^-1*e^-1*a^-1*e^2*a*c*e,
  c*(a^-1*e)^2*a^-1*c*e^-1*c^-1*a*d^2*a^-1*c^-1*e^-2*b^-1*e*b*e^-2,
  (a*e)^2*a*d*b*a*d*a^-1*c*e^-1*c^-1*a^-1*e^-1*a*e*a*d*a^-1*b^-1,
  a^-3*e*a*c*e*c*a^-1*(c^-1*e^-1)^2*d*b^2*a*d^3*a^-1,
  e^2*d^-1*b^-1*a^-1*e^-1*a*b*d^-1*c*a^-1*e^2*a*c^-1*a^2*e*a^-1*d^2*a^-1,
  a*d^2*(a^-1*e^-1)^3*e^-1*d*a^-1*e*a^-1*e^-1*(e^-1*a^-1)^2*e^3,
  c^-1*e^-1*c^-1*d^-1*a^-1*e*a*d*c^-1*e^-1*c^-1*e^2*c*e^-1*c^-1*e*c^-2*a^-1*e\
^-1*a, e^-1*d^-1*c*d^3*c^-1*d^-1*b^-1*a^-1*e^2*a*b*a*d*(e*a)^2*b^-1*e*b,
  a^-1*e*b^-1*e^-1*b*d^-1*e*c*a^-1*e*a*c*e*c^2*e*a*(b^-1*a^-1)^2*b*a^-1,
  a*c*e^-1*a^-1*e*a*d^-1*c^-1*e^-1*c^-1*a^-1*e^-1*a*d*c^-1*e^-1*c^-1*a^-1*e^-\
2*a^-1*e*c,
  c*e*c^-1*a*c^-1*e^-1*a^-1*e^-1*c*e^-1*c^-1*a*c*a^-1*e^-1*c*e*c^-1*e^-2*a*e^\
-1*a^-1*e^-1,
  a*e^3*b^-1*e^-1*b*e^2*a^-1*e*a*b^-1*a^-1*e^2*a*b*d*e^-1*a^-1*c^-1*e*c,
  b^-1*c^-1*b*c*b*e^-2*b^-1*e*b*a^-1*e*a*(c*e)^2*d^-1*e^-1*a^-1*e^3*a*c^-1,
  e^-1*b^-1*e*b*(e^-1*c^-1)^2*a^-1*e^-1*a*(a*e)^2*a*b^-1*e^2*b*a^-1*e*a*c*e*c
    ,
  b^-1*e^-1*b*e^-1*d*e*b^-1*e*b*e*c^-1*e^-1*c^-1*a*e*a^2*d^-1*e*a^-1*e*a*c*e*\
c*e^-1,
  e*b^-1*c^-1*b*c*(a*b)^2*a^-1*e^2*a*d^-1*e^-1*d*b^2*e*a*e^3*a^-1*c*a^-1,
  d^-1*b^-1*a^-1*e*a*b^-1*d^-1*e*c*e*a*c^-1*e^-1*c^-1*a^-1*b^-1*e*b*e^-2*c*e*\
(a^-1*e^-1)^2*a^-1,
  e^-1*d*(e^-1*c^-1)^2*a^-1*e^-1*a*b^-1*e^-1*b*e^-1*a^-1*e*a*c*e*c*d*e^-1*b^-\
1*e*b*d*e^-2,
  c^-1*d^-1*c*b^-1*a^-1*e*a*b*d*e^-1*a^-1*e^-1*a*d^-1*(a*e)^3*c^-1*e^-1*c^-1*\
a^-1*e^-1*a*d,
  e^3*b*d^-1*c*b^-1*e*b*a*d^2*a^-2*e*a*c*e*d*c^-2*e^-1*a^-1*e^-1*a*e^-1*b^-1,
  d^-1*b*e^2*b^-1*e^-1*b*a^-2*e^-1*a^-1*b^-1*e^-1*b*e^2*a^-1*e^3*a*d^-2*b^-1*\
a^-1*e^-1*a,
  d*c^-1*a^-1*e^-1*a*b^-1*e^-1*b*a^-1*e*a*c*e*c*e^-1*d^-1*b^-1*a^-1*e^-1*a*b*\
d^-1*e^-1*c^-1*e^-1*d^2,
  b^-1*e^-1*b*c^-1*e^-3*b^-1*e*b*e*c^-1*a^-1*e^-1*a*e*a*(c^-1*e^-1*c^-1*a^-1)\
^2*e^-1*a*e,
  d^-1*e^-2*d^-2*e*(e*c)^2*e^4*a*c*e*c*a^-1*(c^-1*e^-1*c^-1)^2*a^-1*e^-1*a,
  a^-1*d^-1*a*b^-1*a^-1*e*a*b*d*e*c^-1*e^-1*c^-1*b^-1*e^3*b*e*c^-1*e^-1*(e^-1\
*a^-1)^3*c*e,
  a^-1*d*a*e^-2*b^-1*e*b*e^-2*d*c^-1*e^-1*c^-1*a^-1*e^-1*a^2*e*(e*a*c*e*c)^2,
  b^-2*e*b*e^-1*c*a^-1*e^3*a^-1*e^-1*a^-1*c^-1*a^-1*e^-2*a*e^2*b^-1*e^-1*b*e^\
2*b*e*b^-1*e^-1*b*d,
  b^-1*e^-2*b^-1*e*b*e^-2*b*d^-1*a^-1*(a^-1*e^-1)^2*c*e*c^-1*e^-1*a^-1*e^-1*a\
*e^-1*d^-1*e^-2*b^-1*e*b*e^-2*d^-1,
  a*c^-1*e^-1*c^-1*a^-1*e^-1*a*e*d^-1*a^-1*e*a*d*e^2*c*e^-1*c^-1*e*a^-1*e^-1*\
a*e^-1*c*e*c^-1*e*a*c*e*c*a,
  a*d^-2*b^-1*a^-1*e^-1*a*b*a^-1*c^-1*d^-1*c*e^-2*b^-1*e*b*(a*e)^2*a*e^-4*b^-\
1*e^2*b*e^-2,
  b^-1*a^-1*e*a*b*d^2*a^-1*e^-1*a*e^-2*b^-1*e*b*e^-2*a^-1*e^2*a*d^-3*c*a*e*a*\
e^-3*a*c^-1,
  a^-1*e*a*e^-2*d*b^-1*e*b*c*e^-1*c^-1*e*c^-2*a^-1*(e^-1*c^-1)^2*a^-1*e^-1*c*\
e^-1*c^-2*e^-1*c^-1*a^-1*e^-1*b^-1*e^-1*b*e^2*d^-1,
  d^-1*e^-1*a^-1*e*a^-1*e^-1*a*e*a*d^-2*e^2*b^-1*e^-1*b*(e^-1*c^-1)^2*a^-1*e^\
-1*a*e*b^-1*e*b*e^-2*c*a^-1*e*a*c*e^-2,
  b^-1*a^-1*e*a*b*d*b^-1*a^-1*e^-1*a*b*d^-1*c*d^3*c^-1*e^2*b^-1*e^-1*b*e^2*(b\
^-1*a^-1*e*a*b*d^2)^2 ],
[ [ a, b^2*d^-1, b*e^-1*b, b^-2*d, b^-1*c*d*b^-1, b^-1*d*c*b^-1,
      b^-1*e^-2*b^-1, c*a*c, c^2*d^-1, c*d^-1*b*c^-1, c*e*b^-1*c^-1,
      c^-1*a^2*c^-1, c^-1*b*d^-1*c^-1, c^-2*d, c^-1*d^-1*b*c,
      c^-1*e*d^-1*c^-1, c^-1*e^-1*b*c^-1, d*a*d^-1, d*b*e^-1*b^-1,
      d*c*a*c^-1, d^-1*a*d, d^-1*c^-1*a*c^-1, e*b*c^-1*b^-1, e*b^-1*d*b,
      e*c*e*c^-1, b*a*c*a*b, b*a^-3*b ] ]];
end,
[ 45 ]],
"PG1180980.8",0,1,1,45],
# 1180980.9
[[1,"abcde",
function(a,b,c,d,e)
return [[ c^-1*e*c*b*e^-1*d^-1*b, d*e^-1*d^-1*e^2*d^-1*e^-1*d,
  d^-2*e*d^3*e^-1*d^-1, e^-1*d*e*d*e^-1*d^-1*e*d^-1, e^9,
  a*e*a^-1*e^-2*b*e^-1*d^2*b, (b^-1*a^-1)^2*b*e*d*a^-1*e^2,
  e^-2*c^-2*e^3*c^2*e^-1, a*e*a^-1*d^2*e^-1*d^2*b^2, d^-3*b^2*d^3*b^-2,
  a*e*d*e*d^-1*a^-1*e^-1*a*e*a^-1*e,
  d^-1*e^-1*a*e*a^-1*e^-1*a*e^-1*a^-1*d*e^-1, d*b*e*d*e*d^-1*a*b^-1*a*b*a,
  b^2*d*e^2*d^2*a*e*a^-1*d, c^-1*e^-2*d^-2*e^-1*d^-1*c*d^3,
  c^-1*e^-1*a*e*a^-1*e*c*e*b^-2*d^-1, e^-2*a*e*a^-1*d*e^-1*d^-1*a*e^-1*a^-1,
  e^-3*a*e*a^-1*e^3*a*e^-1*a^-1, d*a^-1*e^3*a*d^-1*a^-1*e^-3*a,
  a^-1*d^-2*e^-3*d^-1*a*c*d^3*c^-1, b^-1*e*d*e*d^-1*e*b*a^3*d^3,
  e^-1*b^-1*d^-2*e*a*e^-1*d*e^-1*a^-1*d*e^-1*b,
  e*c^-1*e^-3*c*e*b^-2*e^-1*a*e^-1*a^-1*d^-1,
  b*d^-3*b^-1*a^3*d^-1*e^2*d^-2*e,
  e^-1*a^-1*e*a^-2*d^-1*e*b^-1*(a*b)^2*a*e^-1,
  a*e*d*a^-1*e*d^-1*e^-1*a*d*e^-1*d^-2*a^-1*d,
  d^-1*b^-2*d^-1*e^-1*a^3*e*d*e*a*e^-1*a^-1,
  a*e*d*a^-1*d^-3*a*d^-1*e^-1*a^-1*d^3,
  a*b*d*b^2*e^-1*a*d^-1*a^-1*e^-2*a*b^-1*a*b,
  d*a^-2*c^-1*d^-1*c*d^-1*e^2*d^-2*e*a^-1*e^-2,
  a*e^2*a^-1*d^-1*e^-1*d*b*d^-3*b^-1*c^-1*e^-2*c,
  e^-4*a*e^3*a^-1*e^-2*c^-1*e^-3*c, b^-2*d^-3*a*e*a^-1*e*d^-4*a*e*a^-1,
  c^-1*a*e*d*e*d^-1*e*a^-1*c*a*e^2*d*e*d^-1*a^-1,
  e*b*a*d^-1*e^-1*a^-1*d*e^-1*a*e*a^-1*e^-1*d*e^-2*b,
  b^-1*e*b*d^-1*a*e*d*a^-1*b^-1*e^-1*b*a*d^-1*e^-1*a^-1*d,
  a*d^-1*e^-1*a^-1*e^-1*a*e*d*a^-1*e*c^-1*e^-1*d*e*d^2*c,
  e^-1*a*e*a^-1*e^-1*d*e^-1*d^-1*e^-1*b*e*b*d^-1*a*d^-1*e^-1*a^-1,
  (b^-1*a)^2*b*a^2*d^-1*e^-1*a^-1*d*e*a*d^-1*e^-1*d*a^-1,
  e^3*a^-1*e^-1*d^-2*a*e*a^-1*e^-2*d^-1*a*e*d*e*d^-1,
  c^-1*e^-1*c*d*e^-2*d^-1*a*e^2*a^-1*e^-1*d*b^2*a^3,
  d^-2*e*a*e*a^-1*d*c*d*b^2*e^2*c^-1*e*b^-2*e^-1,
  b*a*e^-3*a^-1*b*a^-1*e*a*e^-1*a*e^2*a^-1*d*e^-2,
  a*e*d*a^-1*b*d^-1*e^-4*d^-2*e*a*e*d*a^-1*b^-1,
  a*e^-3*d*a^3*e*a^-1*e^-2*c*e^-1*a*d^-1*e^-1*a^-1*c^-1,
  c^-1*b^-1*c^-1*b*c*b*a^-1*b^-1*c^-1*b^-1*c*b*e^-1*c^-1*a*e^-1*b^-2*d^-1,
  b^-1*a*d^-1*e^-1*a^-1*b*a^-1*e*a*e^-2*a*e*d^-1*e^-1*a^-1*d^3,
  d^-2*a^-1*c^-1*e^3*c*e^3*b^-1*a*e*d*a^-1*b*a*e^-2,
  c*e^-3*c^-1*b^-1*a*d^-1*e^-1*a^-1*b*a*d^2*e^2*a^-1*e^-3,
  e^-4*a^-1*b^-2*e^-1*d*a*e^-1*a^-1*d^-1*e*a*e*a^-1*d^-1*e*a,
  d*a*e*a^-1*e*d*e^-1*a*e^-1*a^-1*d*e*a*e*a^-1*e^-1*b^2*d*e^-1,
  b^-1*e^-1*b*a*e*d*a^-1*b^2*d*(d^2*e)^2*d*a*e^-2*a^-1,
  e*a*e*d*a^-1*c*d^-3*a*d^-1*e^-1*a^-1*c^-1*e^2*a*e^-1*a^-1*d^-3,
  d*a^-1*d^-1*e^-1*d*e*a*e*d^-1*e^-1*a^-1*c^-1*e^3*c*e*d*e*d^-1*e*a,
  c^-1*a*c*a*e*a^-1*e^-3*b^-2*d^-1*c^-1*e^3*c^-1*d*e*d^-1*a*e,
  d^-1*e^-1*a^-1*b^2*e*a^-2*e^-1*a*d^-3*c^-1*e^2*a*e^-1*a^-1*e*c^-1*d^-1*a^-1
    , c*e^3*c^-1*b*c*d*b^2*e^-4*c^-1*e*a*e^-1*a^-1*d*e^-1*d^2*b^-1,
  (c^-1*a^-1*c*e^-1*a^-1*d^-1*e*d)^3,
  a*(d^-1*e^-1*a^-1)^2*d^2*e*c^-1*e^2*a*e^-1*a^-1*e*c^-1*e^4*a*e^2,
  d*a^2*e*d*a^-1*e^2*d*c*e^-1*a*e*a^-1*e^-2*c*d^-1*a^-1*e^3*a*e*d*a^-1,
  e*c^-1*e^-1*a*e*a^-1*d^-2*a*e^-1*a^-1*c*e^-1*a*e*a^-1*e^-2*c*d^-1*e^-1*b^-2\
*d^-1*c^-1*e^2,
  c^-1*d^-1*c*a*d^-1*e^-1*a^-1*e*d^-1*e^-1*a*e*a^-1*e*c^-1*e^2*a*e^-1*a^-1*e*\
c^-1*e^-1*a*e*a^-1*e^-1,
  e^-1*a^-1*c*e*b^-1*c^-1*b*c*b*a^2*e*d*e^-1*a^-1*d*e^-1*d^-1*c*e^-1*a*e*a^-1\
*e^-2*c*d^-1,
  c^-1*e^2*a*e^-1*a^-1*e*c^-1*e^-1*a*e*a^-1*d^-1*e*d^-1*c*e*b^-2*e*d^-1*a*e*a\
^-1*e^-1*c*d^-1,
  c^-1*d*c*a*e*d*a^-1*d*e*a*e^-1*a^-1*e^-1*d*e*a*e^-1*a^-1*c*e^-1*a*e*a^-1*e^\
-2*c*d^-1,
  e*d*c^-1*e^-1*a*e^2*a^-1*e^-1*b^-2*d^-1*c^-1*e^-2*a*e*a^-1*e^-2*c*e^-1*b^-1\
*d^-2*e*b^-1*c*d^-1,
  e*b^-1*c^-1*b*c*b*a^2*e*d*a^-1*d^-1*e^-2*a^-1*d*e^-1*d^-1*c*e^-1*b^-1*d^-2*\
e*b^-1*c*d^3*c,
  c*e*b^-1*c^-1*b*c*b*a^2*e*d*a^-1*d^-1*e^-1*a^-1*d*e*a*e^-1*a^-1*e*c*e^-1*a*\
e*a^-1*e^-2*c*d^-1,
  c^-1*a*e*d*a*d^-1*e^-1*a^-2*b^-1*c^-1*b^-1*c*b*c*e*b^-1*c^-1*b*c*b*a^2*e*d*\
a^-1*d^-1*e^-1*a^-1*e^-1,
  d*a*e^-1*a^-1*e*c*e^-1*b^-1*d^-2*e*b^-1*c*d^-1*b^2*e^-1*a*e^-1*b^-2*a*e*d*a\
*e^-1*d^-2*b^-2,
  e^-2*d^-1*c*d*b^2*e*d^-1*e*b^-1*c^-1*b*c*b*a^2*e*d*a^-1*d^-1*e^-1*a^-1*c*d*\
c*e*b^-2*e^-1,
  c*e*a^-1*e^2*a*e^-1*a^-1*e*c^-1*e^-1*a*e*a^-1*d^-3*e^-1*c*e^-1*a*e*a^-1*e^-\
2*c*d^3*e^-1*a^-1,
  a*c*e*b^-1*c^-1*b*c*b*a^2*e*d*a^-1*e*d^-1*e*a*d*e^-1*a*e^-1*a^-1*c*e^-1*a*e\
*a^-1*e^-2*c*d^-1,
  a*e*d*a^-1*e*a*d^-1*e^-1*a^-1*e^-1*d^2*a^-1*d^-1*e^-1*a^-1*b^2*e*a^-2*(e^-1\
*a)^2*e*a^-1*e^-2*c^-2,
  c*e^-1*a*e*a^-1*e^-2*c*d^-1*e^-1*a*e^-1*a^-1*e^2*b^2*e*a*e^-1*a^-1*e*d^-1*c\
^-1*e^2*a*e^-1*a^-1*e*c^-1*e^-1,
  c^-1*a^-1*b^-1*c^-1*b*c*b*e*d*a^-1*b^2*d^-1*e^-1*d*e*a*c^-1*a*e*d*a*d^-1*e^\
-1*a^-2*b^-1*c^-1*b^-1*c*b*a^-1,
  c*e^-1*a*e*a^-1*e^-2*c*d^-3*(d^-1*e)^2*c^-1*e*a*e^-1*a^-1*d*e^-1*b^2*e^-1*c\
^-1*d^-1*e^-1*a*e^-1*a^-1*e^2,
  d^2*b^2*d^3*e*b^-1*d^-3*b*c^-1*a*e^-1*a^-1*e*c^-1*e^-1*a*e*a^-1*e^-1*d^-2*a\
^-1*d^-1*e^-1*a^-1*b^2*e*a^-1,
  a*d*b^2*c^-1*e^2*a*e^-1*a^-1*e*c^-1*e^-2*a*e*a^-1*e^-2*a^-1*d*a*e^-1*a^-1*e\
*c*e^-1*a*e*a^-1*e^-2*c*d^-1,
  (d^3*e^-1)^2*e^-1*c^-1*e^2*a*e^-1*a^-1*e*c^-1*e^-1*b^-2*d^-4*b*e^-1*d^2*a^-\
1*d^-1*e^-1*a^-1*b^2*e*a^-1*e*b^-1,
  e^-1*d*c^-1*e^2*a*e^-1*a^-1*e*c^-1*e^-1*(a*e*a^-1*d^-1)^2*(e^-1*d^-1)^2*b^-\
2*a*e^-1*a^-1*e*c*e^-3*c*d*b^2*d^-1*a*e*a^-1,
  b^-1*e*a*e^-1*a^-1*e*c*e^-1*a*e*a^-1*e^-2*c*d^-1*b*d*c^-1*e^2*a*e^-1*a^-1*e\
*c^-1*a*e*a^-1*d^-1*e^-2*a*d^-2*a^-1*e^-1*a*e^2*d*a^-1,
  a*e*d*e*a^-1*e^-2*d*e*d^3*a*e^-1*a^-1*d^-1*a*c^-1*e^2*a*e^-1*a^-1*e*c^-1*e^\
-1*a*e*a^-1*d^-1*a^-1*e^3*c*e^-1*a*e*a^-1*e^-2*c,
  e^-2*a*e^2*a*e^-1*a^-1*e*a^-1*d*c^-1*e^2*a*e^-1*a^-1*e*c^-1*a*e*a^-1*d^-1*e\
^-1*a*e^-1*a^-1*e*d*a*e^-1*a^-1*e*c*e^-1*a*e*a^-1*e^-2*c*d^-1,
  e^-1*b^2*c^-1*e^2*a*e^-1*a^-1*e*c^-1*e^-1*a*e*a^-1*d*c^-1*e^2*a*e^-1*a^-1*e\
*c^-1*d^-3*b^-4*d^-1*c^-1*e^3*c^-1*d^-3*e*a*e*a^-1*d*b^-2 ],
[ [ c^-2, a^3, a*c^-2*a^-1, a^-1*b^-2*a, a^-1*c^-2*a, b^2*d, b*e*d^-1*b^-1,
      b^-2*d^-1, b^-1*c*d*b^-1, b^-1*d*c*b^-1, b^-1*d^-1*e*b^-1,
      b^-1*e^-1*c^-1*b^-1, c*d*b^-1*c^-1, c*e*d*c^-1, c*e^-1*b^-1*c^-1,
      d*a*d^-1*a^-1, d*a^-1*d^-1*a, d*c^-2*d^-1, d^3, d^-1*a*d*a^-1,
      d^-1*a^-1*d*a, d^-1*b^2*d^-1, d^-1*c^-2*d, e*a*e^-1*a^-1,
      e*b*d^-1*b^-1, e*b^-1*d^-1*b^-1, e*c^-2*e^-1, e*d*e^-1*d^-1,
      a*b*e^-1*c^-1*b^-1*a^-1 ] ]];
end,
[ 135 ]],
"PG1180980.9",0,1,1,135],
# 1180980.10
[[1,"abcde",
function(a,b,c,d,e)
return [[ a^-1*e*a*c^-1*e*c, d^-1*e^-2*d^2*e*d^-1*e, d*e^-2*(d^-1*e)^2*d,
  e^2*(d^-1*e^-1)^2*d^2, b^-2*e^-2*a^-1*e*a*d^-1*e^-2,
  d^-2*b^2*d^3*b^-2*d^-1, d^2*b^2*e^-1*a*e*a^-1*d^2, c^-1*e^3*c^2*e^-3*c^-1,
  c^-1*e*c*e*a^-1*e*a*e*d*e*d^-1, e^-4*a^-1*e^2*a^-1*e^-1*a^2,
  e*a*e^3*a^2*d*e^2*d^-1, a^-1*b*e^-1*d^-2*e*d^-1*b^-1*a*e^-3,
  a*e^-3*a^-1*d^-1*a*e^3*a^-1*d, a*e^3*a^-1*c^-1*a*e^3*a^-1*c,
  e^-2*c*e^3*a*e^-1*a^-1*e^2*c^-1, a*e*a^-1*e*c^-1*e*c*a*d^-1*e*d*a^-1*e,
  (e^-1*a^2)^2*e^-1*a^-1*d*e^-1*d^-1*e^-2, d*b^-1*d*b*d*a^-2*e*d*a^-1*d*e^-2,
  d^3*e*d*b^-1*d*b^2*d*e^-1*d^-1*e^-1*b^-1,
  b*a^3*e^-3*b^-1*a*d^-1*e^-1*d*e*a^-1,
  d*b*d^-1*e^-1*d*e*b^-1*d^-1*b*d^-1*e*d*e^-1*b^-1,
  c^-1*a*c*a*d^-3*a^-1*c^-1*a^-1*c*d^3,
  b*d^-3*b^-1*(d^-1*e^-1)^2*d^-1*a^3*e^2,
  d*a^-1*e*a*(d*e^-1)^2*e^-4*a*e*a^-1*e,
  d*a*e^-3*a^2*e*b^-1*d*b*d^-1*b^-1*d^-1*b*e^-1,
  a^-1*c*d*b^2*e^-1*b^-2*d^-1*c^-1*a*c*e^2*c^-1*e,
  a^-1*d^-1*b*e^-1*a^4*e^2*d^-1*a^-1*b^-1*a*e^3,
  d*a^-1*c^-1*a^-1*c*a*e^-1*a^-1*e*d^-1*b^-2*d^-1*c^-1*a*c*a,
  d^-2*b^-1*d^-1*b*e^-1*d^-1*a^-1*e^3*a^-1*d^-1*e^2*a^2,
  e^-1*a^-1*c^-1*a^-1*c*d*b^2*e^-2*b^-2*d^-1*c^-1*a*c*a,
  c^-1*e^-1*b^-2*d^-1*c^-1*a*c*a*e*c*a^-1*c^-1*a^-1*c*d*b^2,
  b*e^-1*d*e*d^2*e*b^-1*d*b*d^-1*e^-1*a^3*d*b^-1*d^-1,
  d*c*b^-1*d^-1*b*d^-1*e^-1*d^-1*c^-1*a*c*a*e^-1*a*e*a^-1*c^-1*e^-1,
  c*d^-1*e^-1*d*b^-1*d^-1*b*a^4*e^2*d^-1*a^-1*c^-1*e^-3,
  a^-1*e^-2*b^-2*d^-1*c^-1*a*c*a^-1*e*c^-1*a^-1*c*d*b^2*e*a^-1,
  d^-1*a^-1*c^-1*a^-1*c*d*b^2*e*d^-1*a*e*a^-1*c^-1*a*c*a*d^-1*e,
  a^-1*d^-2*e*d^-1*a^-1*c^-1*a^-1*e^-1*c*e^-2*b^-2*d^-1*c^-1*a*c*a^-1,
  b^-1*e^3*a^-1*c^-1*a^-1*c*d*b*d^2*c^-1*a*c*a^-1*e^-3*a^-1,
  c*e^-1*a^-1*b^-2*d^-1*c^-1*a*c*a*e*c^-1*a^-1*c*d*b^2*e*c^-1*e,
  a*e^-2*a*e*a^-1*c^-1*a^-1*e^-1*c*a*c^-1*e^2*a*e^-1*c*e^-2*a,
  (b^-1*a^-1)^2*b*e*c^-1*e^-1*c*e^-1*c^-1*e^4*c*e*d*a^-1*e^-1,
  d*(d*e)^2*e*b^-1*d*b*e*d^-1*e^-1*(e^-1*d^-1)^2*e^-1*b^-1*d^-1*b,
  d^-1*e^-3*a^-1*c^-1*a^-1*c*d*b^2*d*a*e*a^-1*c^-1*a*c*a*e^-1,
  a^2*d*a*e*a^-1*c^-1*a*c*a*e^-1*d^-1*c^-1*a^-1*c*d*b^2*e^3,
  c^-1*d^2*e*d*b^-1*d*b*c*a*d*e^-2*a^-5*e*a*e, (b^-2*d^-1*c^-1*a*c*a)^3,
  d*e*b^-1*d*b*e*d*b^-1*(d*b)^2*d*e^-1*d^-1*e^-1*b^-1*d*b^-1*d^-1*b*e^-1,
  a*e*d^-1*e^2*d*e*a^-1*b^2*e^-1*c*e^-1*a^-1*e^2*c^-1*e*c*a*c^-1*d,
  a^-1*c*a^-1*c^-1*a^-1*c*d*b^2*c^-1*a*e^-1*b^-2*d^-1*c^-1*a*c*a*d^-1*e*d,
  d^2*e*d*b^-1*d*e^-3*b*e^2*c^-1*d^-2*e*d^-1*b^-1*d^-1*b*e^-1*c,
  e^-4*b^-2*d^-1*c^-1*a*c*e*c^-1*a^-1*c*d*b^2*e*a*e*a^-1*e^-2,
  c*e^-1*b^-2*d^-1*c^-1*a*c*e^-1*c*a^-1*c^-1*a^-1*c*d*b^2*c^-1*a*e*c^-1*e^2,
  b^-1*a*e*c^-1*e^3*c*e*d*a^-1*d^-1*b*e^2*a*d*e^-2*a^-3*e^-1*a^-1,
  a*e^-3*a^-1*c^-1*a^-1*c*d*b^2*a^2*c^2*b^-2*d^-1*c^-1*a*c*a*c^-2,
  a*e^-1*a^-1*e*d*c^-1*a^-1*c*d*b^2*e*a^-1*e^-2*d^-1*b^-2*d^-1*c^-1*a*c*a*e,
  c^-1*e*a*e^-1*(b^-2*d^-1)^2*c^-1*a*c*a*c^-2*a^-1*c*d*b^2*e^3,
  d^-1*a^-2*d*a*d^-1*e^-1*a^2*d^-1*b^2*e^-1*c*a^-1*e*c^-1*a^-1*c*d*b^2*c^-1*a\
^2, b^-1*e^3*b*e^-3*b^-2*d^-1*c^-1*a*(c*a^-1)^2*c^-1*a^-1*c*d*b^2*c^-1*a^-1,
  c^2*b^-2*d^-1*c^-1*a*c*a*c^-2*e*a*e^3*a^-2*c^-1*a^-1*c*d*b^2*e^-1,
  b^-1*e*b*e*b^-1*d*b*d^4*e*a^-1*c^-1*a^-1*e^-1*c*b^-2*d^-1*c^-1*a*c*a*e,
  c^-1*a*e*a*c^-1*e^-1*a^-1*c*d*b^2*c^2*e*b^-2*d^-1*c^-1*a*c*a*e^-1*c^-1*a*e^\
-1*a^-1,
  a^-2*e^-1*a^-1*c^-1*a^-1*c*d*b^2*e*a^2*c^-1*b^-2*d^-1*c^-1*a*c*a*d*e^-1*d^-\
1*e*c, (c^-1*a^-1*c*d*b^2)^2*e^2*a^-1*c^-1*a^-1*c*d*b^2*e^-1*(a^-1*e)^2,
  c^-1*a*b^-1*c^-1*b*c*b*a^2*d*e^-2*a^-4*d^-1*e*a*b^-2*d^-1*c^-1*a*e^-1*c*e^-\
1,
  d^-1*e^-1*d*a^-1*c^-1*a^-1*c*d*b^2*c*a^-1*e^-1*a^-1*(c^-1*a^-1*c*d*b^2)^2*c\
^-1,
  d^-1*c*a^-1*c^-1*a^-1*c*d*b^2*c^-1*d*b^-1*e^-1*b^-2*d^-1*c^-1*a*c*a*e*b*c*d\
^3*c^-1,
  c^-1*b^-1*c^-1*b*c*a*e^3*a^-1*d^-1*b*e^-1*d^-1*a*e*a^-1*d*b^-2*d^-1*c^-1*a*\
c*a*e^-1*d^-1*e,
  c^2*a^-1*c^-1*a^-1*c*d*b^2*c^-2*d^-3*c*e^-1*b^-2*d^-1*c^-1*a*c*a*e*c^-1*d^3
    ,
  b^-2*d^-1*c^-1*a*c*a*e*d*e*b^-1*d*b*e^-1*a^-2*d*e^-2*a^-1*c^-1*a^-1*c*d*b^2\
*a^2*d^-1,
  b^-1*a*d*e^-2*a^-4*b*a^2*e^3*a^-2*c^-1*a^-1*c*d*b^2*d*e*b^-2*d^-1*c^-1*a*c,
  e*b^-1*d*b*e*b^-1*d^-1*b*e^-2*c*e^-1*a^-1*c^-1*a^-1*c*d*b^2*e*c^-1*d^-1*e^-\
1*b^-2*d^-1*c^-1*a*c*a*e*d,
  b^-1*d*b*e^-1*d*e*d*a*e*d*c^-1*a^-1*c*d*b^2*e^3*a^-2*e^-1*d^-2*e^-1*b^-2*d^\
-1*c^-1*a*c*a,
  b^-1*e^-1*b*d*e^-2*d^-1*a^-1*c^-1*a^-1*c*(d*b)^2*d*e^2*d^2*e^2*b^-1*d*b^-1*\
d^-1*c^-1*a*c*a*e^-1*d^-1*e,
  b^-1*a*e*d*e^-1*d^-1*a^-1*b*a^-1*d^-1*e^-1*a^2*e^2*d^-1*a^-1*d^-1*a*e*a^-1*\
d^-3*e*c^-1*a^-1*c*d*b^2*a^2,
  d^2*e*d*b^-1*d*c*b^-2*d^-1*c^-1*a*c*a^2*e^-3*a^-1*c^-1*d^-1*b*e^-1*c*e^-1*a\
^-1*c^-1*a^-1*c*d*b^2*e*c^-1,
  c*a^-1*c^-1*a^-1*c*d*b^2*c^-1*b*d*e^-1*b^-2*d^-1*c^-1*a*c*a*e*d^-1*b^-1*d^-\
1*b*e^-1*b^-1*a*d*e^-2*a^-4,
  d*a*d*a^-2*e*d*e*a^-1*e*d^-1*b^-1*d^-1*b*e^-1*b^-1*a*d*e^-2*a^-4*b^-1*d^-1*\
c^-1*a*c*a*d*e^-3*a^-1,
  a*c*d*b^2*e^2*d*e*d^-1*a^-1*b^-2*d^-1*c^-1*a*c*a*c^-1*e*d*a*d^-1*b^-1*d^-1*\
b*d^-1*e^-2*c^-1*e^3*a*c*a*e^-1,
  d^-1*c*e*b^-1*d*b*d*e^2*d^-1*e*a^-1*e^-1*c^-1*a^-1*c*d*b^2*d^-1*c*a^-1*c^-1\
*a^-1*c*d*b^2*c^-2*b^-2*d^-1*c^-1*a*c*a,
  d*a*d^-1*e^-1*a^2*d^-1*c*a^-1*c^-1*a^-1*c*d*b^2*c^-1*a^4*e^2*a*e^-3*a^-1*d^\
-2*c^-1*e^2*c*b^-2*d^-1*c^-1*a*e^-1*c,
  d^-1*b^-2*d^2*c^-1*a*c*d*a^-2*d*c*a^-1*c^-1*a^-1*c*d*b^2*c^-1*d^-1*c*a*d*e^\
-1*a^-1*e^-1*a*e^2*(d^-1*c^-1)^2*a^-1*c*d*b^2*e^-1*d*e,
  b^-1*c^-1*b*c*b*d*e^-2*a^-4*d^-1*e^2*b^-1*d*b*e*d*b^-2*d^-1*c^-1*a*c*a*e^2*\
d^-1*c*d*b^2*e^2*d*e*d^-1*a^-1*c^-1*e*d^-2*b^-2*d^-1*c^-1,
  b^-1*a*d*e^-2*a^-4*e^-1*b^-1*c^-1*a^-1*c*d*b^2*d*e^-1*d*c*a*d*e^-1*d^-1*e^-\
2*b^-2*d^-1*c^-1*d*e^-2*a^-1*c^-1*a^-1*c*d*b^2*a*e^-1*b^-2*d^-1*c^-1*a*c,
  d^-1*b^-1*e^-1*a^-1*e^2*c^-1*e*a^-1*c*d*b*d^-1*c^-1*a*c*a*d*e^-3*a^-2*d*a^-\
1*e^2*a^-1*b^-2*d^-1*c^-1*a*c*a*d*e^-1*d^-1*a^-1*d^-1*e^-1*a^-1*c*a^-1*c^-1*a\
^-1*c*d*b^2*c^-1 ],
[ [ a^-2*d^-1*a^-1, a^-1*d^-1*a^-2, b^2*d^-1, b*e^-1*d*b^-1, b^-2*d,
      b^-1*c*d*b^-1, b^-1*c^-1*e^-1*b^-1, b^-1*d*c*b^-1, b^-1*e*d^-1*b^-1,
      b^-1*e^-1*d*b, (c*a)^2, c^2*d, c*e^-1*b^-1*c^-1, (c^-1*a^-1)^2,
      c^-1*b^-1*e^-1*c^-1, c^-2*d^-1, c^-1*d*b^-1*c^-1, c^-1*d^-1*b*c^-1,
      c^-1*e*d*c^-1, c^-1*e^-1*b^-1*c, d*a*d^-1*a^-1, d*a^-1*d^-1*a, d^3,
      d^-1*a*d*a^-1, d^-1*a^-3, d^-1*b^-2*d^-1, d^-1*c^2*d^-1,
      e*a*e^-1*a^-1, e*a^-1*e^-1*a, e*b*c*b^-1, e*b^-1*d^-1*b^-1,
      e*c*b^-1*c^-1, e*d*e^-1*d^-1, a^2*c*a^-1*c, a*b^-1*c*d*b^-1*a^-1 ] ]];
end,
[ 135 ]],
"PG1180980.10",0,1,1,135],
# 1180980.11
[[1,"abcd",
function(a,b,c,d)
return [[ c^2, d^3, (b*a)^3, c*d^-1*c*a*d^-1*a^-1, b^2*d^-1*b^-2*d, b^6,
  d*a^-1*d*a^2*d*a^-1, d*a*d*c*d^-1*c*a^-1, b*a^-2*b^-1*a^-2*b*a,
  b^-1*d*(b*d^-1)^2*b^-1*d, (a*b^-1*a^-1*b)^2, c*a^3*c*a^-3,
  c*b^-2*a*c*b^-2*a^-2, b*a^-1*c*b^2*a^2*c*b, d*c*b*a^-1*d^-1*a*d*b^-1*d*c,
  b^-2*c*d^-1*c*b^2*a*d^-1*a^-1, a*b*d*a*d^-1*a^-1*b^-1*d*a^-1*d^-1,
  c*d*b^-1*d*b*c*d^-1*b*d^-1*b^-1, d^-1*a*b^-2*a^-1*d*a*b^2*a^-1,
  a^-3*b^-2*a^3*b^2, b^-1*a*b*a^-1*b*(a*b^-1)^2*b^-1*a,
  b*a^-2*b^-1*a^4*b^-1*a^-2, a*c*b*c*a^-1*c*b^-1*a^-1*b*a*b*c,
  c*a^-1*b^-1*a*b*c*a^2*c*b*c*a, b^-1*a^3*b*d*b^-1*a^-3*b*d^-1,
  b*a*(a*c)^2*a^-1*b^-1*c*b^-2*c, a*(a*c)^2*a^-1*b*c*b^-2*c*b^-1,
  a^-1*c*a^-1*b^-1*d^-1*b*a*c*d^-1*a*b*d*b^-1, (c*(a*b^-1)^2*a*b)^2,
  c*b^-1*a^-2*b^-1*(c*a)^2*b^-2*a*b^-1*c*a^2,
  a^-1*c*b^-2*a^-1*b^-1*a*b*a*(c*b)^2*c*a^-2*c ],
[ [ b^-2, a*b^-2*a^-1, a*d*a^-1, a^-1*d^-1*a^-2, c*a*c^-1*a, d*b*d^-1*b^-1,
      a*b*d*b^-1*a^-1, a^-1*b*d*b^-1*a^-2, b*a*c*d^-1*b^-1 ] ]];
end,
[ 90 ]],
"PG1180980.11",0,3,1,90],
# 1180980.12
[[1,"abcd",
function(a,b,c,d)
return [[ c^2, d^3, (c*d)^2, b^6, (a^-1*b^-1)^3, a^-1*(d*a)^2*d*a^-1,
  a*d^-1*a^-2*d^-1*a*d^-1, a^-2*b^-1*a^-2*b*a*b, b^2*d^-1*b^-2*a*d*a^-1,
  d^-1*a^-1*d*a*d^-1*a*d*a^-1, c*a*d^-1*a^-1*c*a^-1*d^-1*a,
  (b*a^-1*b^-1*a)^2, b*a^-1*d^-1*a*b^-2*d*b, b^-1*d*b*d^-1*b^-1*d^-1*b*d,
  c*b^-1*d^-1*b*c*d^-1*b^-1*d*b, (b*a^-1*b)^3, b*c*a^3*b*c*b^-1*c,
  b^2*a^3*b^-1*a^3*b, d*a*d^-1*a^-1*b*d*b^-2*d^-1*b,
  a*d*a^-1*b*d^-1*b^-2*d*b*d^-1, b*a^-2*b^-2*(b^-1*a)^2*b^2,
  a^-3*d*b*a^-3*b^3*d^-1, c*a*d*b^-1*d^-1*b*a^-1*c*a^-1*b*d*b^-1*a,
  b^3*a*c*a^2*b^2*a^-1*(b*c)^2, c*a^-1*b*a^-1*b^-1*a^-1*c*a^-1*b^-2*a*b*c*b,
  b^-1*d^-1*a*d*a^2*b^-1*d*a*d^-1*a^2*b^-2, (b*c*b^-1*a^2*b*a^-1)^2,
  (a^-1*c)^2*a*b^-2*a*b^2*a^-1*c*a*c, a*c*b^-2*a^-1*b^2*(a^-1*c)^2*a^2*c,
  b^-2*a^-1*b^-1*(b^-2*a*b*a)^2*b^-1, (c*a)^2*a*b^-2*c*a^-1*b^-1*(c*b)^2*a,
  a^-1*c*b*c*a*b^-2*a^2*c*b^-1*c*a^-1*b^2*a^-1,
  b^-1*a*b^-1*a^-2*d*b^-1*d^-1*b^-1*a^-1*b^-2*d^-1*a*b^-1*d*a,
  a*d*a*b*a^-3*d*b^-1*d^-1*a^3*b^-1*d^-1*b^-1*a,
  a*b^-1*d^-1*b*a^-1*d*c*a*b^-2*a*b*d*b^-1*d*a^-1*b^2*a^-1*c*d,
  b^-1*d^-1*b^-1*a^-2*c*a^-2*b*d*b^-1*d^-1*a^-1*b^2*a^-1*c*b^-1*a^-1*b*a^-1*b\
^-1, d*a*b^-1*d*b*c*a^2*b^-2*a*d*c*b^-1*d^-1*a*b^-1*a*c*a^-2*b^2*a^-1*c*b ],
[ [ b*a^-1*b*a, a*b*a^-1*d^-1*c^-1, a*d*b^-1*a*c^-1*a^-1, a^-2*b*c^-1*a,
      a^-2*d^-1*b^-1*d*a^-1 ] ]];
end,
[ 1458 ]],
"PG1180980.12",0,3,1,1458],
# 1180980.13
[[1,"abcd",
function(a,b,c,d)
return [[ b^2, c^2, a^3, (c*d^-1)^2, (a*c)^2, (b*c)^3, (b*a^-1)^3,
  d*(a^-1*d^-1)^2*a^-1*d, d^-1*(a^-1*d)^2*a^-1*d^-1, d^-1*(b*d)^2*b*d^-1*b,
  d^9, d^-1*b*a*d^-1*a^-1*d*b*a*d*a^-1, d^-1*c*b*d^-3*b*d^2*c*b*d^3*b,
  d^-1*c*d^2*b*d^-4*b*c*d^-1*b*d^4*b,
  a^-1*d^-1*a*b*d^-3*b*d^2*b*d*a*d^2*a^-1*b*d^-1,
  a^-1*c*d^3*b*a*c*d^3*b*c*d*a*d^2*b*d^-1*a*d^-2*c*b,
  d^2*a*b*d^3*b*a^-1*b*d*b*d^-2*a*b*d^-3*a*b*a*d^-1*b,
  d^-2*a^-1*d^-1*b*a^-1*b*d^-2*a^-1*d^-1*b*d*a*d^2*a^-1*b*a*d^2*a^-1*d*b,
  d^3*b*a*b*d^-3*b*a^-1*b*d^-4*a^-1*b*d^3*b*a*d,
  a*(d^-1*a^-1*d^-1*b)^2*d^-1*a*b*d^-3*b*d^-1*a*(b*d*a*d^2)^2*b*a^-1*d^2*b*a*\
d^2*b*d^-1,
  b*d*b*a^-1*d^-1*a^-1*b*d^-2*(d^-1*a^-1*d^-1*b)^2*d^-3*a*b*d^-1*b*a^-1*d^3*b\
*d^2*a*b*a*d^4*b*a*d*a,
  b*d*a*d^3*b*d^-1*a^-1*d^-1*b*d^-3*b*d^-1*a*d^-1*b*a^-1*d^3*b*(d*a*b*d^2)^2*\
a^-1*b*d*a*d^3*b*a*d^-1,
  b*d^-1*a^-1*b*d^-3*a^-1*d^-1*b*d^-1*a*d^-1*b*d^-1*a^-1*d^-2*b*a^-1*d^-4*b*a\
*d*a^-1*b*d^-4*a^-1*b*d^-1*a*d^-1*b*d^3*b*a*d^-3*b*a^-1*d,
  b*d^3*b*a^-1*d^2*(d*b*d*a)^2*d^3*b*a*c*d^-1*b*a*d^3*a^-1*b*a*d^2*(d*b*d*a)^\
2*d^3*b*a*d*a*b*d^-3*a*b*a*d^3*b*c*a^-1,
  b*d^3*a*b*d^2*a^-1*b*d*a*d^3*b*a^-1*(d^3*a*b)^2*d^2*a^-1*b*d*a*d^3*b*d^2*a^\
-1*(d^2*a*b*d)^2*d*a^-1*b*d*a*d^3*b*d^2,
  b*d^-2*(d^-1*a^-1*d^-1*b)^2*d^-2*a*b*d^-3*b*d^-1*a^-1*b*d^-3*a^-1*d^-1*b*d^\
-1*a*d^-1*b*(d^-2*a^-1*d^-1*b*d^-1)^3*a*d^-1*b*d^-2*a^-1*d^-1*b*d^-1*a^-1*d^-\
1,
  b*d^3*b*a*b*d^2*a*d*b*a^-1*d^2*b*a*d^4*b*a*d*a*b*d^-3*b*a^-1*b*d^2*a*b*d*a^\
-1*d^3*b*d^-1*a*d*b*a^-1*d^4*b*d^2*a*b*a^-1*d*a^-1*b*d*a^-1*d^3*a^-1,
  c*(b*a^-1*d^3)^2*b*d^2*b*a^-1*b*d^2*(d^2*b)^2*a*d^-1*a^-1*d^-3*a^-1*b*a^-1*\
(d^-2*b)^2*d^-3*a*b*d^2*a^-1*d*b*d^-1*a*d^-2*b*a^-1*d^-3*b*c*a^-1*b*d^-3*b*a^\
-1,
  b*d^3*b*a^-1*d*(d*b*d*a)^2*d^3*b*a*d*a*b*d^2*a^-1*d*b*d^-1*a*d^-2*b*a^-1*d*\
(d^2*b)^3*a^-1*b*d^4*a*b*a*d^3*b*a^-1*d^2*b*d^2*a*b*a*d^4*b*d*a^-1*d,
  (d^-1*b*d^-1*a*b*d^-1)^2*d^-2*b*d^-1*a*d^-1*b*d^3*(a^-1*d^3*b)^2*d*a*d*b*(d\
*a*d^3*b*d)^2*a*d^2*b*a^-1*d^2*b*a*d^4*b*d^2*a*d*b*d^-2*a^-1*d^-1*b*d^-1*a*b,
  b*a^-1*d^3*b*a^-1*d^-3*b*d^2*a^-1*b*d^-4*a^-1*b*d^-2*a*b*d^-2*a^-1*d^-1*b*d\
^-3*a*d^-1*b*d^-2*(d^-1*a^-1*d^-1*b)^2*d^-2*a*b*d^-3*b*d^-1*a*d^-1*b*d^-2*(d^\
-1*a^-1*d^-1*b)^2*d^-1*a*b*d^-3*b*d^-1*a*d^-1,
  d*c*a^-1*b*d^-2*(d^-1*a^-1*d^-1*b)^2*d^-1*a*b*d^-3*b*d^-1*a*d^-1*c*a*d^3*b*\
d^-3*b*a^-1*b*d^3*b*a^-1*c*a*b*d^3*b*a^-1*d^2*(d*b*d*a)^2*d^3*b*a*d*a*b*d^3*b\
*a*c*b*d^-3*b*a^-1,
  a*b*d^3*b*a^-1*d^3*(d*b*d*a)^2*d^3*b*a*d*b*d^-1*a^-1*b*d*a^-1*d*b*d^-2*a^-1\
*b*d^-2*a*b*d^-3*b*a^-1*d^-3*a*d^-2*b*d^-4*a^-1*b*d^-2*a*b*d^-2*a^-1*d^-1*b*d\
^-1*a*d^-2*b*d^3*b*d*a*b*d^-3*b*a*d^-1*b,
  d^-1*c*(d^2*a*b*d)^2*d*a^-1*(b*d*a*d^3)^2*b*d*a*d^2*b*a^-1*(d^2*b*a*d^2)^2*\
d^2*b*d^3*b*c*a^-1*(b*a*d^-3)^2*b*a^-1*b*d^3*b*a^-1*d^-1*a^-1*b*d^-2*(d^-1*a^\
-1*d^-1*b)^2*d^-1*a*b*d^-3*b*a^-1*d^-2,
  c*a*d^2*(d*b*d*a)^2*d^3*a^-1*b*d^-1*a^-1*d^-3*a^-1*b*a^-1*d^-2*b*a*b*d^-3*b\
*a^-1*d^3*b*d^3*a*b*d^-3*a*b*d*a^-1*d*b*d^3*b*a^-1*d*b*d^2*a*b*a*d^4*b*c*d^2*\
b*d*a*d^2*b*a^-1*d^2*b*a*d^4*b*a*d*b*d^2*a*b*a*d^4*b*d^-2*a*d^-1*b*d^-4*b*a*b\
*(d^-1*a^-1*d^-1*b*d^-1)^2*d^-1*a^-1*d^-1*a*d^-1*a^-1*b*d^-2*(d^-2*b*a*b)^2*d\
^-3*a*b*d*a^-1*d*b*a*d^4*b*a*d ],
[ [ a, b, d*b*d^-1, d^-1*a*d^-2, c*b*d*b^-1*c^-1 ] ]];
end,
[ 45 ]],
"PG1180980.13",0,3,1,45],
# 1180980.14
[[1,"abcd",
function(a,b,c,d)
return [[ d^3, d*c^2*d^-1*c^-2, a*d^-1*a^-1*c*d^-1*c^-1,
  b^-1*d^-1*b^2*d*b^-1, a^-1*d^-1*a*d^-1*c*d*c^-1, c^-1*a^-1*d*a*d*c*d^-1,
  a^-1*d*a*d^-1*c*d^-1*c^-1*d^-1, b^-1*d*(b*d^-1)^2*b^-1*d, a^9,
  d*b*c^2*b^-1*d^-1*b*c^-2*b^-1, d*a*d^-1*b*c*d^-1*c^-1*d^-1*b^-1*a^-1,
  c^-1*b^-1*d*b*c*d*b*c^-1*d*c*b^-1, a*b*c^2*b^-1*c^-1*a^-1*b^-2*a^-1*c^-1,
  c*b*c^-2*b^-1*c*b*a^3*b^-1, d*b*a^3*b*d^-1*b^-1*a^-3*b^-1,
  a^-1*b^-1*d*b*a*d^-1*a^-1*b*d^-1*b^-1*a*d,
  c^-1*a^-2*c^-1*b*c^2*b^-1*a^-1*b^-2*a^-1,
  b*c*b*c^-2*b^-1*a*c^-1*(b^-1*a^-1)^2,
  d*c*a^-1*b^-1*d*b*a*c^-1*a*b*d^-1*b^-1*a^-1,
  c^-1*a^-1*b^-1*d*b*a*c*d*a*b*d^-1*b^-1*a^-1,
  a*c*b*a^-1*c^-2*b^-1*a^-4*b^-1*c^-1, a*c^-1*a^-1*c*(a*b)^3*c^2*a,
  b^-2*c*a*b^2*(a*c^-1)^2*a*c*a^-1,
  d^-1*b*d^-1*a*b*a*b^-1*d*b*a^-1*b^-1*d*a^-1*b^-1,
  a^2*b^-1*a^2*c^-1*a*c*a^-1*b^-1*a^-1*c^-1*a*c,
  a*b^-2*a^-1*c^-1*a*c*b*c^2*b^-1*c^-2*a,
  a^-1*b*a^-3*b^-1*a*b*a*c^-1*a^-1*c*a*b,
  b^-1*a^-2*b*d*b^-1*d^-1*a*d*a*b*a^-1*b*d^-1*b^-1*a,
  b^-1*d*b*a^-1*b*d^-1*b^-1*a*b*d^-1*b^-1*a^-1*b^-1*d*b*a,
  c^-1*a*c*a^-1*b^-2*a^-1*d*b*a*c^-1*a^-1*c*a*b*d^-1,
  c^-2*b*a*c^-1*a^-1*c*a*b*c*a*c*a^-1*b^-2*a^-1,
  b^-2*a^-1*b*a^2*c^-2*(b^-1*a^-1)^2*a^-2*b*a^-3*b^-1,
  c*b^-1*c^-2*b*d*a^4*c^-1*a^-1*b*c^2*b^-1*c^-1*a*d^-1*c,
  a^2*c^-2*(b^-1*a^-1)^2*a^-1*c^2*a*c^-1*a^-1*c*a*c^-1*a*c*a^-1*b^-1,
  b*a^3*b^-1*a*c*a^-1*b^-2*c^-1*a*c*a^-1*b^-1*a^3*b^-1*a*c^-1,
  b^-1*c^-1*b*c*b^2*c^2*a*b^2*a*c^-1*a^-1*c*b^-3*a^-1*c^-1*a^2,
  b*a*c^-1*a^-1*c*a*b^3*a*c^-1*a^-1*c*a*b*c^2*a^3*b^-1*a^-3,
  a*c^-1*a^-1*c*a*b^-1*a^-1*c^-1*a*c*a*b*a^-3*b^-1*a^-1*c^-1*a^-1*c*a*b^3,
  c*b*a*c^-1*a^-1*c*a*b*c*a^-1*c^-1*a^-1*c*a*b^3*a^3*b*a*c^-1*b^2*a^2*b^2*a*c\
^-1*a ],
[ [ c^-2, a*b^-2*a^-1, a*d*a^-1, a^-1*b^-2*a, a^-1*d^-1*a^-2, b^2*d^-1,
      b*c^-2*b^-1, b*d*b^-1, c*a*c^-1*a, a^2*c^-2*a, a*b*c^-2*b^-1*a^-1,
      a^-2*b*d*b^-1*a^-1, a^-1*b*d*b^-1*a, b*a^-1*b*c^-1*b^-1*a^-1 ] ]];
end,
[ 90 ]],
"PG1180980.14",0,3,1,90]];

PERFGRP[356]:=[# 1192464.1
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ a^2, d^2, b^-1*d*b*d, (a*d)^2, (a*c)^2, c^-1*e^-1*c*e,
  b^-1*e^-1*b*e, (d*f)^2, a*f^-1*a*f, c^-1*f^-1*c*f, a*e^-1*a*e, c^-1*d*c*d,
  b^-1*f^-1*b*f, b*c^-1*b^3*c, e*f^-1*e^3*f, (d*e)^3, (a*b)^3, f^6, c^6,
  c^-1*b*c*b^-4, f^-1*e*f*e^-4, e*d*e^-1*f^-1*e^-1*d*f*e^2*d*f^-2*e*f,
  b*a*b^-1*c^-1*b^-1*a*c*b^2*a*c^-2*b*c ],
[ [ d, e, f, a*b^2, b^2*c*a^-1 ], [ a, b, c, e*d^-1, f*d^-1 ] ]];
end,
[ 14, 14 ]],
"PG1192464.1",0,1,[ 6, 6 ],[ 14, 14 ]]];

PERFGRP[357]:=[# 1200000.1
[[1,"abcde",
function(a,b,c,d,e)
return [[ c^4, d^-1*e^-1*d*e, e^5, d^5, a^-1*d*a*d*e^-2, a^6,
  a^2*c*b^-2*c*a, b^-1*a^-1*c*a^2*c^-1*b^-1, a^-1*c*a*c*a^-1*b^2,
  a^-1*c*b^2*a*c^-1*a^-1, (c^-1*a*c^-1)^2*a^2, (c^-1*a)^2*(c*a^-1)^2,
  b^-1*d*b*d^-1*b^-1*d^-1*b*d, c*b*a*c*a*b^-1*c^-1*b^-1,
  c*b*c*b^-1*a^-1*c^-1*a^2*b, a*b^2*a*(a*c)^2*a,
  b^-1*c^2*a^-1*c^-1*a^-1*(b^-1*c)^2, (a*c)^2*b^-1*c*b^-1*c^-1*b*c,
  (c^-1*a)^2*e^-1*(a*c^-1)^2*e^-1, e*d^-1*e*c^-1*a*c^-1*d*c*a^-1*c,
  b^-1*a^-1*c^-1*b^-1*a*b*a*c*b^-1*c^-1, a^-1*e*a*c*a*c^-1*e*c*a^-1*c^-1,
  a^-1*b^-1*(a^-1*b)^2*c*b^-2*c^-1, d^2*c*e*d^-1*c^-1*d^-2*c*e^-1*d*c^-1,
  c*d*a^-1*d^-1*a*c^-1*d^-1*c*a^-1*d*a*d^-1*c^-1*d,
  d^-1*e^-1*(c^-1*a^-1)^2*d^-2*e*(a*c)^2*e^-1,
  c*d^2*e^-2*c^-1*e^-1*c*a^-1*d*a*d^-1*c^-1*e,
  b^-1*d*b*e*(a*c)^2*e^-1*d*(c^-1*a^-1)^2*e^-1,
  (e*b)^2*a*c*a*c^-1*b^-1*e^-1*(c*b)^2*c,
  c^-1*e^-1*d*b^-1*d*b*c^-1*d*c*e^-1*d^2*e^-1*c*e*d^-1,
  (c^-1*b^-1)^2*c*b^-1*d*a*c*a^-2*e*d^-1*c^-1*d^-1*e,
  a^-1*e*d*a*d^-1*c*(e^-1*d^-1*e^-1)^2*(d^-1*e^-1)^2*c^-1,
  c^-1*b*e*d^2*b*a^-2*c*a*d*c*e^-1*d^-1*e^-1*a^-1*c^-1*a^-1,
  c^-1*a^-1*c^-2*e^-1*b^-1*d*b*a^-1*e^-1*b^2*a^-2*d*c*d^-1*a^-1*d,
  d^-1*c*a^-1*c^-1*a^-1*d*c*d^-1*a^-1*d*a*c^-1*a*c*d^-1*a*d*c^-1*e^-1,
  c^-1*e^-1*b^-1*c*b*c^-1*b*d^-1*e^-1*d^-1*a^2*(b*d^-1)^2*e*d^-1*a,
  d^-1*e*c*d*a^-1*d^-1*a*c^-1*(c^-1*a^-1)^2*e^-1*a^-1*e^-1*b^-2*a^-2*d^-1,
  (a*c)^2*d*(c^-1*a^-1)^2*e^-1*c^-1*a^-1*c^-1*e*d^-1*e*c*a*c*e,
  d^-1*a^-1*c^-1*a^2*c^-1*d*e*d*c^-1*b^-1*c*b^-2*c^-1*b*c*d^-1*a*b^-2*a^-1,
  d*(c^-1*b^-1)^2*c*b^-1*d^-1*a^-2*c*a*c^-1*d^-1*e^-1*d^-1*(a*c*a)^2,
  e^-1*b*a*c*a*c^-1*b^-1*d^-1*e^-2*d^-1*(c*a)^2*c^-1*e^2*d^-2*c^-1*d,
  e^-1*((c^-1*a^-1)^2*d)^2*(c^-1*a^-1)^2*e^-1*d^-2*(c^-1*a^-1)^2*e^-1,
  (a*c)^2*e*d^2*a^2*b^-2*c^-1*a^-1*d*(c^-1*a^-1)^2*e^2*d^2*c^-1*d^-1,
  b^-1*d*c*d^-2*e^2*c^-1*b*e*(a*c)^2*e^2*c^-2*a*c*d*a*d^-1*c^-1*e^-1,
  c^-1*e*c*d^-1*e^-1*c*d^-1*a^-1*d*c^-1*a^-1*c^2*e^-1*d^-2*c^-2*a*c*d*a*d^-1*\
c^-1*d,
  d*c*a^-1*c^-1*a^-1*d^-1*(a*c)^2*d*e*d*c^-2*e*d*(a*c)^2*d*(c^-1*a^-1)^2,
  d*e^2*c^-1*d^-1*c*d*c*(e^-1*d^-1)^2*e^-1*c^-1*d^-1*b^-1*d^-1*b*e*c*d^-2*e^2\
*c^-1*d,
  a^-1*d*c*d^-2*e^2*c^-1*a*e*a^2*b^-2*d*c^-1*a^2*b^2*d*a^-1*d^-1*a*c^-1*d^-1,
  c^-1*d*b^-1*(a*c*a)^2*b*d^-2*(a*c)^2*e^-1*b^-1*d*b*d*a^-1*e^-1*c^-1*a^2,
  c*e*a^-2*c*a*c^-1*e*d^-1*e*c^2*e*c^-2*e^-1*d^-2*c^-2*e^-1*(a*c)^2*e^-1*d^-2\
*c*b^2,
  b*d^-1*a^-1*d*a^-1*c*a*d^-1*e^-1*d^-1*(c^-1*a^-1)^2*e*c^-1*a^-1*c^-1*d^-1*e\
^2*c*a*c*d^2*e*c*b^5,
  c^-2*d^2*e*(c^-1*a^-1)^2*e*c^-2*d^2*e*(c^-1*a^-1)^2*d^-1*c*((e*d)^2*e)^2*c^\
-1*d^-1,
  a*c*a*c^-2*e*(a^-1*c^-1*a^-1)^2*e*d^2*(a*c)^2*d*(c^-1*a^-1)^2*e*d^2*(c^-1*a\
^-1)^2*d*c*e^-2*d^2*c^-1*d*c*e^-2*d^2 ],
[ [ e*d^-1, a^2*c^-1, a*c*a^-1, a*e*d*a^-1, b*c*a^-1*b^-1, b*e*d^-1*b^-1,
      b^-1*c*a^-1*b, b^-1*e*d*b, (c*a)^2, c*e*d*c^-1, d*b^-1*d^-1*b,
      d*c*d^-1*c^-1, d*c^-1*d^-1*c ] ]];
end,
[ 300 ]],
"PG1200000.1",0,1,1,300],
# 1200000.2
[[1,"abcde",
function(a,b,c,d,e)
return [[ e^2, b^4, d^-1*e*d*e, d^5, b^-1*d^-1*b^2*d^-1*b^-1,
  b^-1*e*b^2*e*b^-1, c*d*c^-2*d*c, e*c^-2*e*c^2, a^6, c^-1*d^-1*c*a^-1*d^2*a,
  d*a*c^-1*d^2*c*a^-1, d*c*d*c^-1*d^-1*c^-1*d*c, a^3*e*a^-3*e,
  (e*c)^2*(e*c^-1)^2, e*c^-1*d^-1*c*e*c*d^-1*c^-1, (e*b)^2*(e*b^-1)^2,
  b*d*b^-1*d^-1*b^-1*d*b*d, d^-1*b^-1*e*b*d*b^-1*e*b, (a^-1*e*a*e)^2,
  d^-1*a^-1*e*a*d*a^-1*e*a, b^-1*a^-1*e*a*b*a^-1*e*a,
  c^-1*b^-1*e*b*c*e*a^-1*e*a, (a*e)^2*a^-2*b^-1*e*b,
  b*c^-1*e*a^-1*e*a*c*b^-1*e, a^-1*c^-1*d*c*a^2*d^2*a^-1,
  b^2*c*e*c^-1*b^-2*c*e*c^-1, a*d^-2*a^-1*d^-1*a*d^2*a^-1*d,
  (b^-1*a^-1)^2*b*d^2*a^-1*c^2, b*d*b^-1*c*e*c^-1*b^-1*d*b*c*e*c^-1,
  b^-1*c^-1*b*e*b^-1*e*c*b*c^-1*e*c*e, c*d*c^-1*b*d*b^-1*c^-1*d*c*b*d^-1*b^-1
    , e*c*a*e*c*e*c^-1*a^-2*e*a*c^-1,
  b^-1*d*b*d^-2*a^-1*d*c^-1*d^-1*c*b*d^-1*b^-1*a,
  c*e*c^-1*b*d*c^-1*b^-1*a^-1*e*a*e*b*c*d^-1*b^-1,
  (b^-1*a)^2*b*d*c*d^-1*c^-1*b^-1*d^-1*b*c*d^-1*c^-1*a,
  d*b^-1*a*d^-2*a^-1*b^-1*d*b*e*a*d^2*a^-1*e*b,
  b^-1*d^-1*b*e*a*d^-2*b^-1*d*c^-1*b^-1*c*b*d^-1*c*a^-1*e,
  b^-1*d*b^-1*a*d^-2*a^-1*c^-1*d^-2*b^-1*c^-1*b*c*d^-1*b^-1*d,
  b^-1*a*d^-2*a^-1*d*b*a*d^-2*a^-1*b^-1*d^-1*b*a*d^-2*a^-1,
  c^-1*d^-1*b^-1*d^-1*b*c*d^2*b*d*b^-1*a*d^-2*a^-1*b*d^2*b^-1,
  b^-1*a*d^2*a^-1*c^-1*d*c*d*b*d^-1*b*c^-1*d^-1*b^-1*c^-1*b*c*d^-1,
  a^-1*b^-1*d*b*d*c^-1*a^-1*c*d^-1*b^-1*c*d^-1*c^-1*d*a*d^2*a^-1*b,
  d^-1*e*a^-1*b^-1*d*c^-1*b^-1*c*b*d*c*a*e*b^-1*d^-1*a*d^2*a^-1*b,
  b*d*c*d*a^-1*d*b^-1*d^-1*b^-1*a*c^-1*b^-1*c^-1*b*c*b^2*d*c^-1*b^-1*c,
  c*d^-1*e*a*d^-2*a^-1*e*b^-1*c^-1*b^-1*c*b*d^-1*a^-1*b*d*b^-1*d^-1*a*d,
  d*b^-1*c*d*a^-1*c*d*c^-1*d^-1*a*(b*d^-2)^2*c^-1*d*b^-1*a*d^-2*a^-1*d,
  d^-1*b^-1*d^-1*b*a*d^-2*a^-1*b^-1*c^-1*b*c*d^-1*b^-1*d^-1*a*c^-1*b^-1*c^-1*\
b*c*b^-1*d^-1*c^-1*a,
  d*c^-1*b^-1*c*b*d*c*b^-1*d^2*a^-1*d^-1*b^-1*d^2*b*d^-1*a*d^2*b^-1*d^2*b*d,
  c^-1*d^-1*b^-1*d^-1*b*c*d^-1*a*d^2*a^-1*b*d*b^-1*c^-1*d^-1*b*d*b^-1*c*b^-1*\
a*d^-2*a^-1*b,
  a^3*b^-2*a*d^-2*a^-1*c*d*c^-1*e*a*d^-2*a^-1*e*b^-1*d*c^-1*b^-1*c*b*d*c,
  a*d^-2*a^-1*b^-1*d^-1*a*d^-2*a^-1*b*d^-2*a*b^-1*a*b*d^2*a*d^-1*c^-1*d^-1*b*\
d*b^-1*c*b^-1,
  c^-1*d*b^-1*d^2*b^-1*c^-1*b*d*b^-1*d^-2*a*d^-2*a^-1*c*b^-1*d*c^-1*b^-1*c*d^\
-1*b*a*d^-2*a^-1,
  a*d*c*b*d^-1*b^-1*d^-2*c^-1*d^-2*b^-1*c^-1*(b*c)^2*d^-1*c^-1*d*a*d^2*a^-1*b\
^-1*d*b*a*c^-1,
  a*d^2*a^-1*b^-1*d^2*c^-1*b^-1*c*b*d*c*b^2*a*d^2*a^-1*b^-1*d^2*c^-1*b^-1*c*b\
*d*c*b^-2,
  a*b^-1*a*b*a*c^-1*b*d*b^-1*c*d^2*a^-1*d^-1*b*d*b^-1*a*d^-1*a*b*d*b^-1*d*a^-\
1*c^-1*d*c*b^-1*d,
  a^-1*b^-1*c^-1*b*c*b*d^2*a^-1*d*b*d*b^-1*c^-1*b*d*b^-1*d^-1*c*d^-2*a^-1*b*d\
*b^-1*d^-1*a*d^-2*c^-1*d^2,
  d*b^-1*a*d^-2*a^-1*b*d*b^-1*d*a*d^2*c^-1*a*d^2*a^-1*d^2*b*d^-1*b^-1*c*(b*d^\
-1)^2*a^-1*b*d*b^-1*c^-1*d^-1*b*d*b^-1*c*b^-1,
  d*b^-1*d^-2*c^-1*b^-1*c*b*d*c*a^3*d*b^-1*a*d^-2*a^-1*b^-1*d^-1*b*c^-1*d^-1*\
c*b^2*a^-3*c^-1*d^-1*b^-1*c^-1*b*c*a*d^2*a^-1*d ],
[ [ a, b, c, d ],
  [ c^-1*a, d, e, a*c*a^-1, a*e*a^-1, a^-1*c^-1*b, a^-1*d^-1*c^-1,
      b*a^-1*c^-1, b*c^-2*b^-1, b^-1*a^3 ] ]];
end,
[ 16, 30 ]],
"PG1200000.2",0,1,1,[ 16, 30 ]],
# 1200000.3
[[1,"abcde",
function(a,b,c,d,e)
return [[ e^2, c^-1*e*c*e, d^-1*e*d*e, d^5, b^-1*e*b^2*e*b^-1,
  c^-1*d*c^2*d*c^-1, a^6, b*d^-1*b^-2*d^-1*b, a*c^-1*d*c*a^-1*d^-2,
  a^-2*(e*a)^2*e, a*c*d^-2*c^-1*a^-1*d, (b^-1*e)^2*(b*e)^2,
  b*d^-1*b^-1*e*b*d*b^-1*e, c^-1*d*c*d^-1*c*d*c^-1*d,
  d*b^-1*d^-1*b*d^-1*b^-1*d*b, c^-1*a*e*a^-1*c*a^-1*e*a,
  d^-1*a^-1*e*a*d*a^-1*e*a, b^-1*e*c*b^-1*e*b*c^-1*b*e,
  a^-1*c^-1*d*c*a^2*d^2*a^-1, b^-1*a*b^-1*(e*b*a^-1)^2*e*a,
  b^-1*e*a^-1*b^-1*e*(b*a)^2*e*a^-1, b^-1*d^-1*c^-1*b^-1*c*d^-1*b*d*c*d^-2,
  c^-1*d*c*b^-1*d^-1*b*c*d*c^-1*b^-1*d*b, c^-1*d*c*b*e*b*c*d^-1*c^-1*b*e*b,
  c^-1*a^-1*e*b^-1*e*b*a*c*a*b*e*b^-1*a^-1,
  b^-1*a^-1*e*b^-1*e*b*a*b*a^-1*e*b^-1*e*b*a,
  b^-1*c^-1*b*c*b*c^-1*d^-1*c*b^-1*c^-1*b^-1*c*b*d,
  d^-1*a^-1*e*b^-1*e*b*a*d*a^-1*e*b^-1*e*b*a,
  c^-1*b^-1*c*b*c*d^-1*c^-1*b^-1*c^-1*b*c*b*d*b^-1,
  d*c^-1*b^-1*c*b*d*c*b^-1*d^-1*b*c^-1*d^-1*b^-1*c^-1*b*c,
  d^-1*c^-1*d^-1*b^-1*c^-1*b*c*d^-2*b*a^-1*c^-1*d*c*d^-2*a,
  a^-1*c^-1*a^-1*c*d*b*d^2*b^-1*d*c^-1*b^-1*c^-1*b*c*d^-1*b,
  b^-1*c^-1*b^2*c*b*a*d*b^-1*d*c^-1*b^-1*c*b*c^-1*a^-1*d^-1,
  (b^3*c^-1*d^-1*b^-1*c^-1*b*c)^2,
  c^-1*b^-1*c^-1*b*c*b*a*b^-1*d*c^-1*b^-1*c*b*d*a*c*b^-1*d*b,
  b*d*b^-1*c^-1*d*c^-1*a^-1*b^-1*c^-1*b*(b*c)^2*e*d^-1*c^-1*e*a,
  c^-1*b*c*d^-1*a^-1*c*d^-1*c^-1*d^-2*a*b*c^-2*d^2*c*d^-1*b^-1*d^-1,
  a*b^-1*d*b*a^-1*c^-1*d^-1*b^-1*c^-1*b*c*d^-1*b^-1*c^-1*b^-1*c*b*d*c*b,
  (b^-1*a^-1)^2*b*a^-1*b*(d^-1*b^-1*c^-1)^2*b*c*d^-1*b^-1*c^-1*d^-1*c,
  b*c^-1*d^-1*b^-1*c^-1*b*d^-1*c*a^-1*c*d^-1*c^-1*a*b*c^-1*d^-1*b^-1*c^-1*b*c
    , (d^-1*c^-1*(b*c*d^-1)^2*b^-1*d^-1)^2,
  a^-1*c^-1*d^-2*b^-1*c^-1*b*c*d^-1*b*a*c^-1*d^-2*b^-1*c^-1*b*c*d^-1*b,
  a^-1*b^-1*c^-1*b*c*b*a^-1*b^-1*d*c^-1*b^-1*c*b*c*b^-1*d*c^-1*b^-1*c*b*d,
  (b^-1*a)^2*b*a*d^-1*b^-1*a^-1*c*d^-1*c^-1*d^-2*a*b*d*a^-1*c*d*c^-1*d*a,
  b^-1*c^-1*b*c*b*a*c^-1*d^-1*b^-1*c^-1*b*c*d^-1*b*c^-2*b^-1*c^-1*b*c*d^-1*b*\
a,
  c^-1*d^-1*b^-1*c^-1*b*c*a^-1*e*b^-1*e*b*a*c^-1*b^-1*c*b*d*c*a^-1*e*b^-1*e*b\
*a,
  c*a^-1*d*b*d^2*b^-1*d*c^-1*a^-1*c*a^-1*c^-1*d^-1*b^-1*c^-1*b*c*d^2*b*c^-1*a\
^-1*d,
  b*d^-2*c^-1*d*b^-1*d^2*b*d*c*d^2*a^-1*d*c^-1*d^-1*c*a*c^-1*b^-1*c^-1*b*c*d^\
-1,
  c^-2*d^-1*b^-1*c^-1*b*c*(d^-1*b)^2*d*c^-1*b^-1*c*b*c*b^-1*c^-1*b*c*b*d^-1*b\
^2,
  d*b^-1*d*c^-1*b^-1*c*b*d^2*c*b*d^-2*c^-1*d*b^-1*d*c^-1*b*d^-1*c*a^-1*c*d^-1\
*c^-1*a,
  c^-1*b^-1*c*b*d^2*c*d^-2*b*d*c^-1*a^-1*c*a^-1*d^-1*b*a*c*d^-1*c^-1*a^-1*c*d\
^-1*c^-1*b,
  a^3*d*a^-1*d^2*c*d*c^-1*a*d^-1*b^2*a*d^-2*a^-1*b^-1*d*c^-1*b^-1*c*b*d*c,
  c^-1*b^-1*c*b*d^-1*c*b^-1*d*a^-1*d^2*c^-1*d^-1*c*a*d^2*b*a^-1*d*c^-1*d*c*d*\
a*d^-1*b^-1,
  b^-1*c^-1*b*c*d^-1*b*c*b^2*c*e*d*c^-1*b^-1*c^-1*b*d*b^-1*c*b*e*d*b^2*c^-1*d\
*c^-1,
  d^-1*b^-1*(b^-1*d)^2*c^-1*b^-1*c*b*d^2*c*b^2*c^-1*d*c*d^2*b^-1*d*c^-1*b^-1*\
c*b*d*c,
  d*c^-1*b^-1*e*c*b*d*c*d^2*a*b*d^-1*b*c^-1*b^-1*c^-1*b*c*b*d^2*a^-1*d^-2*c*d\
*c^-1*e*b^-1*e*b*a*b^2*d^2*a^-1*b^-1,
  (d*c^-1)^2*d^-1*b^-1*c^-1*(b*c*d^-1)^2*b*d*c^-1*b^-1*c*b*d^2*c*d*a^-1*d^-1*\
b^2*d*a*d^-2*a^-1*c^-1*d^-1*b^-1*c^-1*b*c*d^-1*b*a,
  b^-1*c^-1*d^-2*b^-1*c^-1*b*c*(d^-1*b)^2*d^-1*c^-1*d^-1*b^-1*c^-1*b*c*d*b*a*\
c^-1*b^-1*c^-1*b*c*d^-1*b*a^-1*d^-1*b^-1*d*c^-1*b^-1*d^-1*b*c*b*a^-1*d^-1*a,
  c^-1*b*c*d^-1*b*d*c^-1*d^-1*b^-1*c^-1*b*a^-1*d*a*b^-1*c*b*d*c*d^-1*b^-2*c^-\
1*b^-1*d*c^-1*b^-1*c*b*d*c*d^-1*a^-1*d^-1*a*b^-1*d*(c^-1*b^-1*c*d^-1)^2,
  d^-1*b^-1*c^-1*b*c*d^-1*b^3*d^2*a^-1*b^-1*d*c^-1*b^-1*c*b*e*d^2*c*a*c^-1*d^\
-1*b^-1*c^-1*b*c*b*d^-1*b*d*b*a^-1*e*a*c^-1*d^-1*b^-1*c^-1*b*c*d^-1*b*d*c^-1*\
d^-1,
  d^-1*b^-1*c^-1*b*c*d^-1*b*d^2*b*c^-1*b^-1*c*b*d*c*d*b^-1*d^2*c^-1*b^-1*c*b*\
d*b^-1*c*b*c*d^-1*b^-1*d*c^-1*b^-1*c*b*d*b^-1*c*b*c*a*d^-2*a^-1*d^-2*b*c^-1*d\
^-2*b^-1*c^-1*b,
  c^-1*b*c*d^-2*b*c^-1*d^-1*b^-1*c^-1*b^-1*d*b*c^-1*b*c*d^-1*b*d^-1*c^-1*b^-1\
*c^-1*b*c*d^-1*b*a*c^-1*d^-1*b^-1*c^-1*b*c*d^-1*b^2*d*c^-1*b^-1*c*b*d^2*c*b^-\
1*d*b*d*(c^-1*b^-1)^2*c*b*a^-1*b^-1*c^-1*d*b ],
[ [ a, b, c, d ],
  [ c^-1*a, d, e, a*c*a^-1, a^-1*c^-1*b, a^-1*d^-1*c^-1, b*a^-1*c^-1,
      b*c^-2*b^-1, b^-1*a^3, b^-4 ] ]];
end,
[ 16, 30 ]],
"PG1200000.3",0,1,1,[ 16, 30 ]],
# 1200000.4
[[1,"abcde",
function(a,b,c,d,e)
return [[ e^2, c^-1*e*c*e, d^-1*e*d*e, d^5, b^-1*e*b^2*e*b^-1, a^6,
  b^-2*d^-1*b^2*d^-1, c^-1*d*c^2*d*c^-1, a*c*d*c^-1*a^-1*d^2,
  a^-2*(e*a)^2*e, b*d*b^-1*e*b^-1*d*b*e, (d*b^-1)^2*d*b*d^-1*b,
  (e*b^-1)^2*(e*b)^2, c*d^-1*c^-1*d^-1*c*d*c^-1*d, c^-1*a*e*a^-1*c*a^-1*e*a,
  d^-1*a^-1*e*a*d*a^-1*e*a, a^-1*c*d*c^-1*a^2*d^-2*a^-1,
  b^-1*c*b^-1*e*b*e*c^-1*b*e, b^-1*e*a^-1*b^-1*e*(b*a)^2*e*a^-1,
  b^-1*a*b^-1*(e*b*a^-1)^2*e*a, c*d^-2*b^-1*d^-1*c^-1*b^-1*c*d^-1*b*d,
  c*d^-1*c^-1*b^-1*d^-1*b*c*d*c^-1*b^-1*d*b, (c*d^-1*c^-1*b*e*b)^2,
  c^-1*a^-1*b*e*b^-1*e*a*c*a*b^-1*e*b*a^-1,
  c*b^-1*d*b*a*d^-2*b*d^-1*b^-1*a^-1*d*c^-1*d^-1,
  b^-1*a^-1*b*e*b^-1*e*a*b*a^-1*b*e*b^-1*e*a,
  b^-1*c^-1*(b*c)^2*d*(c^-1*b^-1)^2*c*b*d,
  c^-1*b^-1*c*b*c^-1*d*c*b^-1*c^-1*b*c*b*d*b^-1,
  d^-1*a^-1*b*e*b^-1*e*a*d*a^-1*b*e*b^-1*e*a,
  d*a*b^-1*d*c^-1*b^-1*c*b*d*c*d^-2*a^-1*b^-1*d^-1*b,
  d*c^-1*b^-1*c*b*d*c*a^-1*b*d*b^-1*d*a*d^-2*b^-1,
  d*c^-1*b^-1*(c*b*d)^2*b^-1*c^-1*d^-1*b^-1*c^-1*b*c,
  b^-1*a*d^-2*a^-1*(b*d)^2*a*d^-2*a^-1*d^-1*b^-1*d^-1,
  a*c^-1*a*c*d*b^-1*e*b*c^-1*d^-1*b^-1*d^-1*c^-1*b*c*d^-1*b,
  a^-1*b^-1*d*c^-1*b^-1*c*b*d^2*c*b^-1*d*b*d*a*d^2,
  a*b^-1*c^-1*b^-1*c*b*a*d^-1*a*d^2*a^-1*b^-1*e*d*b*e*c,
  a*d^-2*a^-1*b^-1*d^2*b^-1*d*a*d^-2*a^-1*b*d^-2*b*d,
  c^-2*b^-1*c^-1*b*c*b*a*d^2*a^-1*b*c^-1*b*c*b^3,
  (b^3*c^-1*d^-1*b^-1*c^-1*b*c)^2,
  a^-1*d^-1*b*d^-1*b^-1*a*b*d^-1*c^-1*b^-1*c^-1*b*c*b^-1*a*d^-2*a^-1*d^-1*b,
  a*b*d^-1*b^-1*a^-1*c^-1*d^-1*b^-1*c^-1*b*c*d^-1*b^-1*c^-1*b^-1*c*b*d*c*b,
  a^-1*b^-1*c^-1*b*c*b*a^-1*c*d*c^-1*b^-1*e*a^-1*b^-1*d*b*d^-1*a*b*d^-1*c^-1,
  b^-1*a*d^-2*a^-1*d^-1*b*d^-1*c^-1*d*b*d^-1*b^-1*c*a^-1*d*b*d^-1*b^-1*a*d^2,
  b^-1*d^2*c^-1*b^-1*c*b*d^-1*c*b^-1*a^-1*b^-1*d^-1*b*d*a*c^-1*b^-1*c*b*d^-2*\
c*d,
  c^-1*d^-1*b^-1*c^-1*b*c*a^-1*b*e*b^-1*e*a*c^-1*b^-1*c*b*d*c*a^-1*b*e*b^-1*e\
*a,
  d^-1*b^-1*c^-1*b^-1*d*c^-1*b^-1*c*b*c*d^-2*b^-1*c^-1*b*c*d^-1*b^3*a*d^-2*a^\
-1*d*b^-1,
  a^-1*b*a^-1*c^-1*d^-1*b^-1*c^-1*b*c*d^-1*b^-2*c^-1*b^-1*c*b*e*d^-1*b^-1*c^-\
1*b*c*d^-1*a^-1*e*b^-1*e,
  d^-1*b^-3*c^-1*b^-1*c*d*c^-1*b^-1*c*b*c*d*a^-1*b^-1*d^-1*b^-1*a^-1*d*b^-1*e\
*b*d*a^2*e*c,
  a^-1*c*d^-2*b^-1*d^-1*a^-1*b^-1*d^-1*b*d*a*d^-1*c^-1*b^-1*c*b*a*c*d^-1*b^-1\
*a^-1*d^-1*b^-1*d*b*a*b*c^-1,
  d*c^-1*d^-1*b^-1*c^-1*b*c*b*d*b*c^-1*b^-1*c*b*d^2*b^-1*d*c^-1*b^-1*c*b*d^-1\
*a^-1*b^-1*d^-1*b*d*a,
  e*c^-1*d^-1*a^-1*b^-1*d^-1*b*d*a*b^-3*d*c^-1*b^-1*c*b*d*e*c*d^2*b^-1*c^-1*b\
*c*b^3,
  a^-2*d^-2*a^-1*b^-1*d^-1*b*d*a*(b*d)^2*a*d^-2*a^-1*b^-1*d*e*c^-1*b^-1*c*b*d\
*c*a^-1*e,
  c^-1*a^-1*b^-1*c^-1*b*c*b*a^-1*b*e*b^-1*c^-1*d^-1*a^-1*b^-1*c^-1*b*c*b*a^-1\
*c^-1*d^-2*b^-1*c^-1*b*e*c*d^-1*b,
  d*e*b^-1*a*b^2*d^-1*c^-1*d^-1*a^-1*b^-1*c^-1*b*c*b*a^-2*d^-2*b*a*e*a^-1*b^-\
1*a*b^2*a^-1*e*b*d,
  c^-1*a*d^2*c*b*d^-1*b^-1*a*b^-2*d^-1*a^-1*d^-1*b*d^-1*b^-1*a*b^2*a^-1*b^-1*\
d^-1*b*a*d^-2*a^-1*b^-1*e*b*d^-1*a,
  b*d^2*a^-1*b^-1*d*b^-1*a^-1*d^-1*b^-1*d*b*a*d^-1*a*c^-1*b^-1*c^-1*b*c*(d^-1\
*b^-1)^2*d*c^-1*b^-1*c*d*b*d^2*c*b^-1*a^-1*e*a,
  a*d^2*a^-1*d^-1*b*d^-1*c^-1*d^-1*b^-1*c^-1*b*c*d*b*a*d^-2*a^-1*d*b^-1*c^-1*\
b^-1*d*b*c*b*c^-1*d*c*a*d^-2*a^-1*d^-2*b^-1,
  d*c^-1*(d^-1*b^-1)^2*a^-1*d^-1*e*b*d^-1*b^-1*a*e*d*c*b^-2*d^-1*b^-1*c^-1*b^\
-1*c*b*d^-2*c^-1*a^-1*e*a*b^-1*c^-1*b*c*b*d*c*d,
  d^-1*c^-1*b^-1*c*d^-1*c^-1*b*c*d^-1*b*d*a*b*d*b^-1*a^-1*b*d^-1*b^-1*a*d^2*a\
^-1*d*c^-1*(d^-2*b^-1*c^-1*b)^2*c*b*d^-1,
  a*b^-1*a*b*a*d^2*c^-1*d^-2*b^-1*c^-1*b*c*b*d*a^-1*b^-1*e*d*c^-1*b^-1*c*b*e*\
d*b^-1*c^-1*b^2*c*d*b*d*c^-1*d*a*d^-1*b^-1*d^-1*e,
  c^-1*b*c*d^-1*b*d^-2*a^-1*b^-1*d^-1*b*d*a*c*b^-1*d*a*d^2*a^-1*c^-1*b*c*b*c^\
-1*b^-1*c^-1*b*c*d^-2*b*c*b^-1*d*a*d^2*a^-1*b^-1*d^-1*b,
  d*c^-1*b^-1*c*b*d^-2*c*b^-1*c^-1*d*c*b^-1*d*c^-1*(b^-1*c*b*d)^2*c*b^-1*d^2*\
c^-1*b^-1*c*b*c^2*b^-1*d^-1*c^-1*b^-1*c*a*d^-2*a^-1*b^-1*d^-1*b*c^-1*b^-1*c*d\
*c^-1*b*c*d ],
[ [ c^-1*a, d, e, a*c*a^-1, a^-1*c^-1*b, a^-1*d^-1*c^-1, b*a^-1*c^-1,
      b*c^-2*b^-1, b^-1*a^3, b^-4, c*a^-2*b^-1, c*b^-2*c^-1, (a*b)^2*a ],
  [ b^-2, c^-2, d, a*d*a^-1, a*e*a^-1, a^-1*b^-2*a, a^-1*c^-2*a, a^-1*d*a,
      a^-1*e*a^-2, b*c^-2*b^-1, b*d*b^-1, b*e*b^-1, (c*a^-1)^2, c*b^-2*c^-1,
      a^2*c*a^-1*c^-1, a*b^2*a^2, a*b^-1*c^2*b^-1*a^-1, a*c*a*e^-1*c^-1,
      a^-1*b*c*a*b^-1*a ] ]];
end,
[ 30, 60 ]],
"PG1200000.4",0,1,1,[ 30, 60 ]],
# 1200000.5
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^2, a^3, b^2*c^2, d^-1*f*d*f, e^-1*f*e*f, d^-1*e^-1*d*e,
  c^-2*b^2, a*c^-1*a*c, f*c*f*c^-1, e^5, b^-1*e^-1*b*e^-2, d^5,
  b*e^-1*b^-1*e^2, (b^-1*d^-1*b^-1)^2, b^-1*c^-1*b^-1*c*b^-1*c^-1,
  (f*a^-1)^3, (e^-1*a^-1)^3, b^-1*(a*b)^2*a, (a^-1*e)^3, (a*d)^3,
  (a*d^-1)^3, c*d^-1*c^-1*a^-1*d^2*a, c*e^-2*a*c^-1*e*a,
  a^-1*d^-1*a*b^-1*c^-1*d*c^-1*b^-1, c^-1*d^-1*c*d^-1*b*d*b^-1*d^-1,
  (c^-1*d*c^-1*d^-1)^2, d^-1*a*f*a^-1*d*a*f*a^-1, d^-1*a*d^2*a^-1*b^-1*d*b,
  a^-1*e^-1*a*d*a^-1*e*a*d^-1, (b^-1*d*b^-1*f)^2, e^-1*a^-1*f*a*e*a^-1*f*a,
  (b*f)^4, a^-1*e^-1*a*f*a^-1*e*a*f, e^-1*c*e^-1*a^-1*e*a^-1*e^-1*a^-1*c^-1,
  c^-1*b^-1*d^-1*b^-1*c^-1*b^-1*d^2*b, a^-1*e^-1*a*b^-1*c^-1*e^-1*c^-1*b^-1*e
    , (a*f*b^-1)^3, (a^-1*f*b^-1)^2*a^-1*f*b,
  b^-1*a^-1*f*b*f*a*b*a^-1*f*b*f*a, e^-1*a^-1*b^-1*f*b*a*e*a^-1*b^-1*f*b*a,
  (b^-1*f*b*a*f*a^-1)^2, d^-1*a^-1*b^-1*f*b*a*d*a^-1*b^-1*f*b*a,
  b^-1*d*b*e*a^-1*e^-1*c^-1*d*c*e*d*a*e^-1,
  d^-1*a*f*b*f*b^-1*a^-1*d*f*a*b*f*b^-1*a*f*a,
  b*f*b^-1*c*a^-1*b*f*b*a^-1*c*f*b*f*b^-1*a*f,
  a^-1*b*f*b^-1*f*e*a^-1*f*e*a*b^-1*f*b*a*f*e,
  f*b^-1*e*a*b^-1*f*b*e*f*a*e*b^-1*f*b*a^-1*f*a^-1*b,
  d^-1*b^-1*a*f*a*d*a*b*f*d*b^-1*a*f*d*a^-1*d*b*f ],
[ [ a, b, c, d, e ], [ a, b, c, e, f ], [ a, b, c, d, f ] ]];
end,
[ 16, 25, 25 ]],
"PG1200000.5",0,1,1,[ 16, 25, 25 ]],
# 1200000.6
[[1,"abcde",
function(a,b,c,d,e)
return [[ a^3, c^2*b^2, c^2*b^-2, d^-1*e^-1*d*e, e^5, d^5, b^-1*e^2*b*e^-1,
  b^-1*e^-1*b*e^-2, b^-1*c^-1*b^-1*c*b^-1*c^-1, (c^-2*d)^2, (a*d^-1)^3,
  (a*e^-1)^3, (e^-1*a^-1)^3, (b^-1*a)^3, (a*d)^3, c^-2*a^-1*c*a*c*a^-1,
  a*c^-1*d*c*a^-1*d^2, c^-1*a^-1*e*a*c*e^-2, c^-1*a^-1*d*a*c*d^2,
  c^-1*e^-2*c*a^-1*e^-1*a, e*c^-1*a^-1*e^2*a*c, b^-1*c*d*c^-1*d^-2*b*d,
  b^2*d^-2*c^-2*d^-2, d^-1*c^-1*b^-1*a^-1*d*a*b^-1*c^-1,
  c^-1*d*b^-1*d*b*d*c*d^-1, d^-1*a^-1*e^-1*a*d*a^-1*e*a,
  d^-1*a*d^2*a^-1*b*d^-1*b^-1, e*c*e*a^-1*e^-1*a^-1*e*a^-1*c^-1,
  b^-1*c^-1*e*c^-1*b^-1*e^-1*a^-1*e*a, a*b*e^-1*a*e^2*a^-1*b^-1*a^-1*e,
  d^-1*a^-1*c*a^-1*c^-1*d*a*c^-1*a*c, e^-1*a^-1*c*a^-1*c^-1*e*a*c^-1*a*c,
  e*a^-1*e^-2*a^-1*e*a*e^-2*a, (a^-1*c)^2*e^2*a*c^-1*e^-1*a*c^-1,
  a*b*c^-1*a^-1*b^-1*a*c^-1*a*b^-1*a^-1*c*b^-1,
  e^-1*a*e*b*d*b^-1*e^-1*a^-1*e*c^-1*d^-1*c*d^-1,
  b^-1*c*(a*c^-1)^2*b^-1*a^-1*c^-1*b*a*b*c^-1*a^-1,
  a^-1*b^-1*a*c^-1*b^-1*a^-1*c*a^-1*c^-1*b^-1*a^-1*c^-1*b*a^-1*b^-1,
  b^-1*a^-1*b^-1*(a^-1*b^-1*c^-1)^2*a^-1*c*a^-1*b*a^-1*c^-1,
  c^-1*a^-1*c^-2*a*b*a*b^-1*c^-1*b*a*b^-1*c*b^-1*a*b^-1,
  a^-1*b^-1*c*a*c*b^-1*a*c*a*b^-1*(a^-1*c)^2*b^-1*a*c*b,
  d*b^-1*a*c^-2*a^-1*b*d*a*b^-1*(c*a^-1)^2*b^-1*c^-1*a*c^-1,
  b*a*b*(a^-1*c)^2*b*a*b*a^-1*c*a^-1*c^-1*a^-1*b*c^-1*a*c,
  a*b^-1*(a^-1*c)^2*b^-1*c*d^-1*b*a^-1*c*a^-1*c^-1*b^-1*a*c^-1*d^2,
  c*b^-1*a*c^-1*a*b^-1*a*e^-1*a^-1*e^-1*b*(c*a^-1)^2*b^-1*c*b^-1*e^-1,
  a^-1*c^-1*a^-1*e*b^-1*c*b^-1*a^-1*c^-1*b*a*b^-1*e^-1*a^-1*e*b*a*b*c^-1*a^-1\
*c^-1*b*e,
  b*a*c^-1*a*b^-1*c*b^-1*a*b*a^-1*b*c^-1*a*b^-1*(c^-1*a^-1)^2*c^-1*b^-1*c^-1*\
a*c,
  d*a*d^-2*b^-1*c^-1*a*c*d*b^-1*a^-1*b^-1*c^-1*d*a*d*b^-1*(a*c^-1)^2*b*a*c ],
[ [ a, b, c, e ], [ a, b, c, d ],
  [ d, e, a*d*a^-1, a*e*a^-1, a^-1*b^-2*a, (c*a^-1)^2, a^-1*b*c*b^-1*a,
      b*a*b^-2*a^-1*b^-1 ] ]];
end,
[ 25, 25, 60 ]],
"PG1200000.6",0,1,1,[ 25, 25, 60 ]],
# 1200000.7
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^2, a^3, c^4, d^-1*e^-1*d*e, d^-1*f*d*f, e^-1*f*e*f, b^2*c^2,
  c^-1*a^-1*c*a^-1, b*e^-1*b^-1*e^2, e^5, d^5, b^-1*e^-1*b*e^-2, (c^-2*f)^2,
  b*c*b*c^-1*b^-1*c^-1, b^-1*d^-1*c^2*d^-1*b^-1, b*(a^-1*b^-1)^2*a^-1,
  (a*e)^3, (a*d)^3, (a^-1*e)^3, b*a^-1*f*a*b^-1*f, (a*d^-1)^3,
  a^-1*d*c^-1*a^-1*d^-2*c, a*c^-1*e*a*c*e^-2, d^-1*b^-1*f*b*d*b^-1*f*b,
  d^-1*b^-1*d^-1*b*c^-1*d^-1*c*d^-1, (c^-1*f)^2*(c*f)^2,
  f*c^-1*e*c*f*c^-1*e^-1*c, b^-1*d^-1*b*d*b^-1*d*b*d^-1,
  a^-1*d^-1*a*b*c^-1*d^-1*c*b^-1, c^-1*f*c*d^-1*c^-1*f*c*d,
  a^-1*e^-1*a*f*a^-1*e*a*f, a^-1*e^-1*a*d*a^-1*e*a*d^-1,
  f*c*(a*f)^2*c^-1*f*a^-1, f*b*c*f*c^-1*b^-1*a*f*a^-1,
  a*b^-1*d^-1*a*b*a*d*b*d, f*a^-1*f*a*c*(f*b^-1)^2*c,
  e*a*e^-1*a^-1*e^2*a^-1*e^-1*a*e, a^-1*e^-1*a*b*e^-1*a^-1*e^2*a*e^-1*b^-1,
  a^-1*c^-1*f*a^-1*c*e*c^-1*a*f*a^-1*c*e^-1,
  d*c^-1*a*f*a^-1*c*d^-1*c^-1*a*f*a^-1*c, c^-1*(a*f*c)^2*a*f*c^-1*a*f,
  e^2*a^-1*e*(e*a*e^-1*a)^2, b*d^-1*b^-1*e*a^-1*d*e^-1*c^-1*d*c*e*a*e^-1 ],
[ [ a, b, c, d, e ], [ a, b, c, e, f ],
  [ a, b, c, d, f, e*c*b^-1*e*a^-1*e^-1 ] ]];
end,
[ 16, 25, 25 ]],
"PG1200000.7",0,1,1,[ 16, 25, 25 ]],
# 1200000.8
[[1,"abcde",
function(a,b,c,d,e)
return [[ e^2, b^-2*c^-2, c^4, a*c^-1*a*c, d^-1*e*d*e, c^-1*e*c*e, a^-3*c^2,
  d^5, b^-1*c^-1*b^-1*c*b*c^-1, c^-2*d^-1*b^-2*d^-1, a^-1*b^-1*(a^-1*b)^2,
  (a^-1*e)^2*a^2*e, a^-1*d*a^-1*d^-1*a^2*d^-1, a*d^-1*a^-2*d^-1*a*d,
  b*d^-1*b^-1*d^-1*b*d*b^-1*d, b*d*b^-1*e*b*d^-1*b^-1*e,
  e*a^-1*d^-1*a*e*a^-1*d*a, d^-1*a^-1*e*a*d*a^-1*e*a, (e*b)^4,
  e*b^-1*e*c*b*e*b*c*b, e*b*a^-1*e*b^-1*a^-1*e*b*a^-1, (d*b*d^2*b)^2,
  e*a^-1*b*a^-1*e*b*a*b^-1*e*b*a*b, a^-1*d*a*b*d*b^-1*a^-1*d^-1*a*b*d^-1*b^-1
    , d^-1*a*b^-1*e*b*a^-1*d*a*b^-1*e*b*a^-1, (a*b^-1*e*b*a^-1*e)^2,
  (b^-1*e*b*a*e*a^-1)^2, c^-1*(e*b^-1*e*a)^2*b*c^-1*b*e*b*a^-1,
  d^-1*a*b*d^-2*b*d^-1*a*b^-1*d^2*(a^-1*d^-1*b)^2,
  (a^-1*d^-1)^2*a*d^-1*b*d^-1*a^-1*d^-2*b^-1*d^-1*a^-1*d^-2*b,
  a*b^-1*a^-1*d*a*b*e*a^-1*d*a*b^-1*a^-1*d^-1*a*b*e*a^-1*d^-1,
  b^-1*d^2*a^-1*d*a*d*b*e*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*e,
  b^-1*d^2*a^-1*d*a*d*b*d*a^-1*b*a^-1*d^-1*a*d^-1*b*d^-1*a^-2,
  c^-1*d^-1*c^-1*b*a^-1*d*b*a^-1*b^-1*d^-1*a^-1*b*a^-1*d^-1*a*d^-2*b*d^-1,
  a*d*a*b^-1*d*a^2*d^-1*b^-1*(a*d^-1)^2*b*d^-2*b^-1*d^-2*b,
  d*a*d*a^-1*b*a^-1*d^-1*a*b^-1*(d^-1*c^-1)^2*d*b^-1*d^2*a^-1*d*a*b^-1,
  d^-2*a^-1*b^-1*d*a^-1*(a^-1*d^-1*b)^3*d^-2*b^-1*d^-1*a^-1*b,
  d*b^-1*d^2*a^-1*d*a*d*b^-1*d^-1*c*b*d*a^-1*d^-2*b*a^-1*d^-1*b*c^-1*a,
  d*a^-1*d*a*d*b^-1*a*d^-1*a^-1*b^-1*d*a^-1*d*c^-2*a*d^-1*b^-1*a*d*a^-1*b,
  b^-1*d^2*a^-1*d*a*d*b*a*e*a^-1*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*a*e*a^-1,
  b^-1*d^2*a^-1*d*a*d*b*a*d*a^-1*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*a*d^-1*a^-1,
  d^-1*a*b^-1*a*d^2*a^-1*d*a*d*b*a^-1*d*a*d*b^-1*d*a^-1*d*b*d*a^-1*d^-1,
  d*b*d*a*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*a^-1*d^-2*a^-1*d^2*b^-1*d*a^-1*d*b*a^-\
1*d,
  a^-1*d*b*a*d*a^-1*b*(d^-1*b*a^-1*d^-1)^2*a*b^-1*a^-1*d^-1*a*d^-1*b*a^-1*d^-\
1*b,
  b^-1*d^2*a^-1*d*a*d*b*a*b^-1*d*b*a^-1*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*a*b*d*b^\
-1*a^-1,
  b*a^-1*d*a*b^-1*d^2*a^-2*d^-1*b*d^2*a^-1*d*a*d*c^-1*b^-1*a*c*d^-1*a*d^-1*b*\
a^-1*d^-1*c*a,
  b^-1*d^-1*b^-1*c*d^-1*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*d^-1*e*c*a*e*b^-1*d*a*b^\
-1*d^2*a*b*a^-1*e*a,
  b^-1*d*a*b^-1*d^2*a*d^-1*b*d*a^-1*d^-1*b^-1*d^-1*a^-1*d^-1*a*d^-2*b^-1*d*a*\
b^-1*a^-1*d*a*b^-1*d*a*d^-1,
  d^-1*b^-1*d^-1*a^-1*d^-1*a*d^-2*a*b*a^-1*d^-1*a*(d^-2*b)^2*(a^-1*d)^2*b^-1*\
d^2*a^-1*d^2*a^2,
  d^-1*b*d^2*a^-1*d*a*b^-1*d^2*c*d^-1*a^-1*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*a^-1*\
d^2*b^-1*d^-1*a^-1*d^-1*a*d^-2*b*d^-1*c*a,
  d^2*b*a^-1*d^-1*a^-2*d^2*b*d^2*a^-1*b*d*a*b^-1*d^2*a*d^-1*b*d^2*a^-1*b^-1*d\
*a^-1*d^-1*(d^-1*b*a^-1)^2,
  a^-1*(d*b)^2*c^-1*b*d^-1*a^-1*d^-1*a*d^-2*b*d^-1*c*b^-1*d*b*d^-1*a^-1*b^-1*\
d^2*a^-1*d*a*d*b*a^2*b*d*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*d*a*d^-1*b,
  a^-1*(d^-1*b*a^-1*d^-1)^2*b^-1*a^-1*c*d*c^-1*d^-1*(a*b^-1*d)^2*d*b*a^-1*b^-\
1*c*d*b^-1*d^2*a^-1*d*a*d*b*d*c^-1*b^-1*d*a^-1*d*a*d*b^-1*d^2,
  d*b*a^-1*d^-1*a^-2*d^2*b*d^-2*b*d^-1*a^-1*d^-1*a*d^-2*b^-1*d^-2*b*d^-1*a^-1\
*d^-1*a*d^-1*b^-1*d*b^-1*a^-1*d^2*a*d*b*(d^2*a^-1)^2*d*a*b^-1*d^-2*b^-1*d^-1*\
a^-1*d*b*d^-2*b^-1*a^-2*d*b^-1*d^-1*b*d*a ],
[ [ a, b, c, d ], [ b*a^-1, c*a^-1, d, e ] ]];
end,
[ 16, 125 ]],
"PG1200000.8",0,1,1,[ 16, 125 ]],
# 1200000.9
[[1,"abcd",
function(a,b,c,d)
return [[ b^4, b^2*c^2, c^-1*a^-1*c^-1*a^2, d^5, b*d*c^2*d*b,
  (c^-1*b^-1)^2*c*b, a^6, (a*b)^3, a*d*a^-1*d^-1*a^-1*d*a,
  a*d^-1*a^-1*d*a^-1*d^-1*a, d*b^-1*(d^-1*b)^2*d^-1*b^-1, (a^-1*b^-1*d)^3,
  (d*b*a)^3, (a*b*d)^3, b*d*b^-1*a^-1*b*a^-1*d^-1*a*b^-1*d*a,
  d^-1*a*b^-1*a*b*d*b^-1*a^-1*d*b*a^-1, (a*b^-1)^2*a^2*b*a^-2*b*a,
  a^-2*b*d*b*a^-3*b^-1*d*b^-1*a^-1, d^-1*b^-1*a^-3*b^-1*d*b*a^-3*b,
  b^-1*a*c*a*b^-1*a*c^-1*b*a^-1*b^-1*c*a,
  b*d*b*a*d*a^-1*b^-1*d^-1*b^-1*a*d*a^-1, (d^-2*a^-1*b^-1)^3,
  a^2*b*a^-1*b*d^-1*a*b^-1*a*d*b*a^-1*b*d*a,
  b*a^2*b^-1*a^-1*d*b^-1*a^-1*b*a^2*d*a*b*d, (b*a^2*b^-1*a^-1)^3,
  b*a^3*b^-1*a*c*b*a^-1*b^-1*a^2*b*a*c^-1*a,
  a*d^-1*b^-1*d^-2*b*a^-1*d*a*d*b*d^-2*b^-1*a^-1*d^-1,
  b*a*d^-1*b*d^-1*a^-1*b*d*b^-1*d*a*b^-1*d*a^-1*b^-1*a*d^-1*a^-1,
  b*a^-3*b^-1*a^-1*c*d^-1*b^-1*a*b*a^-2*b^-1*a*d^-1*a^-1*c^-1,
  d^-1*a^-1*d^-1*b^-1*a^2*b^-1*d^-2*b*a^-1*b^-1*d^-1*b*a^-1*d^-2*b*a*d^-1,
  b^-1*d*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*d*b*d^2*b^-1*d*a^-1*b^-1*d^-2*b^-\
1*c*a, a^2*b*d^-1*a*b*a*d*(c*a^-1)^2*d*b*a*b*d^-1*a*b*a^-1*b^-1*a*b,
  b*a*d^-1*a^-1*b^-1*a*b^-1*a^-1*b*a*b^-1*d^2*b*a^-1*b*d*c^-2*a*b*d^-1*a^-1*d
    ,
  d^-1*a^-1*b^-1*d*a^-1*d*b^-1*(a^-1*d^-1)^2*b^-1*d*b*a^-1*c^-1*b*d*b*a*b*d^-\
1*b^-1*d^-1*c*b^-1,
  d*a*d*a^-1*d*b^-1*d*b*a^-1*b^-1*d^-2*b*d*a^-1*b*d*b*c^-1*a*d^-2*b*a*d^-1*a^\
-1*d^-1*b^-1*c,
  d^-1*a^-1*b^-1*d*b*a*b^-1*d^2*b*a*d^-1*b*d^-1*b^-1*c*a^-1*d*b*d^-1*b^-1*a*(\
d*a^-1)^2*b^-1*d^-1*b*c,
  b*a^-1*c*d*b^-1*a*d^-1*a^-1*d^-1*b^-1*d^-1*c*a*d^2*b*d*a*d*a^-1*c^-1*d*b^-1\
*a*d^-1*a^-1*d^-1*b*d*c^-1,
  b^-1*d^2*a*d*a^-1*b*d*c^-1*a^-1*b*d^-1*b^-1*a*d^-1*b*d^-1*b^-1*d^-1*a^-1*c^\
-1*d^-1*b*a*d^-1*a^-1*d^-1*b^-1*d^-1*a^2,
  c^-1*d^-1*b*d^2*a^-1*b*d*b^-1*c^-1*d^-1*b*a*d^-1*a^-1*d^-1*b*d*c^-1*a*d^-1*\
b^-1*c^-1*d^-1*b*a*d^-1*a^-1*d^-1*b*d,
  d^-1*b*d*a^-1*b*d*b^-1*c^-1*a*b^-1*a^-3*b*a^-1*c*b^-1*d^-1*b^-1*a*b^-1*d*b*\
d^-1*a^-1*b^-1*a*b*a^-1*b*a,
  c^-1*d*c^-1*d^-2*b*a*d^-1*a^-1*d^-2*b*d^2*b*a*(d*a^-1)^2*b*d*b^-1*a*b^-1*d^\
-1*a^-1*b^-1*d^2*b*a*b*d^-1*b^-1,
  c*d^-1*a^-1*b^-1*d*a^-1*d*a*b^-1*d^-1*c*b^-1*d^-1*a^-1*b^-1*d*a^-1*d^-1*b^-\
1*d^-1*a*b*d^-2*b^-1*a*d^-1*b^-1*d^2*b*d^-1*a^-1*b^-1*d*b^-1,
  d^-1*a^-1*b*d^-1*b^-1*d*a*d^-1*b^-1*d^2*b*a*d^-1*b*d^-1*b^-1*c*d*c^-1*b^-1*\
d^-1*b*a^-1*b*d*b^-1*a*d^2*b*d*b^-1*a^-1*b*d^2*b^-1 ],
[ [ d, a^3, a*d*a^-1, a^-1*b^-2*a, b*c*a*b^-1, b*d*b^-1, b^-1*a^-1*c*b^-1 ],
  [ b*a^-1, b^-1*a^-1, c*a^-1, d ] ]];
end,
[ 60, 125 ]],
"PG1200000.9",0,1,1,[ 60, 125 ]],
# 1200000.10
[[1,"abcde",
function(a,b,c,d,e)
return [[ e^2, c^-2*b^2, c^4, d^-1*e*d*e, a*c^-1*a*c, a*c*a^-2*c, d^5,
  c*e*c^-2*e*c, d^-1*c^2*d^-1*c^-2, (b^-1*c^-1)^3, a^-1*b^-1*(a^-1*b)^2,
  a*e*a^-1*b^-1*e*b, a^-1*d*a^-1*d^-1*a^2*d^-1, b*d*a*e*a^-1*d^-1*b^-1*e,
  e*a^-1*e*b^-1*e*b*e*a, d*c*e*c^-1*d^-1*c*e*c^-1, (c^-1*e)^4,
  (d^-1*c^-1*d*c^-1)^2, b*d^-1*b^-1*d^-1*b*d*b^-1*d,
  b^-1*c^-1*e*c*b*e*a^-1*e*a, c^-1*e*a*e*c^-1*(a^-1*e)^2,
  d*b*c^-1*e*c^-1*b*d^-1*a^-1*e*a*e,
  b*c^-1*d^-1*c*b^-1*d*b*c^-1*d*c^-1*b*d^-1,
  b*c^-1*a^-1*e*c*a^-1*b^-1*c^-1*a^-1*e*c*a^-1,
  (e*c)^2*b^-1*e*c*e*a^-1*e*c^-1*a^-1*b^-1,
  d*a^-1*b^-1*d^-2*c*d^-1*b^-1*c*d*b*d^-1*a^-1*c,
  e*c*d^-2*c*e*c*b^-1*d^-1*b^-1*d*b^-1*d^-1*b*d*c^-1,
  b*c*d^-1*c^-1*d^2*b^-1*e*b^-1*d*(d*c^-1)^2*b^-1*e,
  d^-1*a^-1*b*c*d^-1*c^-1*d^2*b^-1*a^-1*d^-1*a*d*b^-1*d*(d*c^-1)^2*b^-1*a,
  b*d^2*c*d^-1*c*a*d^-1*b*d^2*c*d^-1*c*b^-1*a^-1*d*b^-1*d*c*d^-1*c^-1,
  b*a^-1*c*b*d^-1*c*d^-2*b*d^-1*c*b*a*b^-1*a^-1*d*(c*d^-1)^2*b*d^-1*b*a,
  c*d*b^-1*d^2*c^-1*d*b*c^-1*d*(d*c^-1)^2*b*d^-2*b*d^2*c^-1*d*c*b^-1,
  d^-1*b*d*c*d^-1*b*d^2*c^-1*d*b^-1*c*d*b^-1*d*c^-1*d*b^-1*d^2*c^-1*d*b*c,
  a^-1*b*c^-1*d*c^-1*(d^-2*b^-1)^2*d^-1*b*c^-1*d*c*a*b^-1*d*(c*d^-1)^2*b*d^-1
    ,
  a^-1*d*a*b^-1*a*(c*d^-1)^2*d^-1*b*d^-1*a*b^-1*d*b*a^-1*d*b^-1*d^2*c^-1*d*a*\
c^-1*b,
  d*b^-1*d^2*c^-1*d*a^-1*c^-1*b*d^-2*c*d*c^-1*b*d^-1*b*a*d^-1*b*c^-1*d*c^-1*d\
^-2*a,
  a^-1*d^-1*b*c^-1*d*c^-1*d^-2*b*d^-1*c^-1*a^-1*b*d*c*(d^-1*c*d^-1*b)^2*d^-2*\
b^-1*d^-2,
  a^-1*d*b^-1*c^-1*d*c^-1*d^-2*a^-1*b^-1*c*a*d*c^-1*d^-2*b*d^-1*a*d*b*d^-1*c^\
-1*d^-1*c*d^-1*b^-1*a^-1,
  d^-1*a*c*d^-1*b*d^2*c^-1*d*c*b^-1*c*a*b^-1*c^-1*d^-1*c*d^-2*b*d^-1*a*d^-1*b\
*d^-1*b^-1*c^-1*d^-1*c,
  b^-1*d*c^-1*d^-2*b*d^-1*a^-1*c*b*(c*d^-1)^2*d^-1*b*d^-1*a^-1*b*c*a*b^-1*d^-\
1*c*d^-2*b*d^-1*c*b^-1*a*c,
  b^-1*c*d*c^-1*d^2*b*a*b*c^-1*b^-1*d^-1*c*d^-2*b*d^-1*c*d^2*c^-1*a*d*b^-1*d^\
2*c^-1*d*c*b^-1*c^-1*d,
  c^-1*d^2*b^-1*c*d*c^-1*d^2*b^-1*d*c*d^-1*b*d^2*c^-1*d*b^-1*c*b^-1*a*d*b^-1*\
d^2*c^-1*d*c*b^-1*c^-1*a*d^-1,
  c^-1*d*c^-1*b^-1*d^-1*a*d*b^-1*d^2*c*d^-1*c^-1*b*a^-1*b^-1*c^-1*d*c^-1*a*d^\
-1*b*d^2*c^-1*d*a^-1*c^-1*b^-1*a*d^-2*b^-1*d^-1,
  b*a^-1*b*(c*d^-1)^2*d^-1*b*d^-2*a^-1*(c*d^-1)^2*b^-1*d*b^-1*c^-1*(a^-1*d)^2\
*b^-1*d^2*c^-1*d*b*d*c^-1*d^2,
  c*d^-1*b^-1*a^-2*d*b*c*d^-1*c^-1*d^2*b^-1*d^-1*a*(b*d^-1)^2*b*d^2*c^-1*d*c*\
b^-1*d*c*a^-1*d*b^-1*d^2*c^-1*d*b ],
[ [ a, b, c, d ], [ b*a^-1, c*a^-1, d, e, a*e*a^-1 ] ]];
end,
[ 16, 125 ]],
"PG1200000.10",0,1,1,[ 16, 125 ]],
# 1200000.11
[[1,"abcde",
function(a,b,c,d,e)
return [[ d*e^-1*d^-1*e, e^5, d^5, c^-1*d^-1*c^2*d*c^-1, c^2*e^-1*c^-2*e,
  c^-1*d^-1*c*e^-1*b^-1*e^-1*d*b, d^-1*c^-1*d^-1*(c*d)^2*c^-1,
  e*c*d^-1*c^-1*e^-1*c*d*c^-1, a^-3*e*a^3*e^-1, a^-1*d^-1*a*d^-1*a^-1*d*a*d,
  a^-1*d^-1*a*e^-1*a^-1*d*a*e, b^-1*e*b*a^-1*d^-1*a*d^2*e,
  d*a^2*d^-2*a*e*d*e, e*c^2*a^-1*d^2*a*c^2, b^-1*d*b*d^-1*a*d^-1*e^2*a^-1*e,
  a^2*b^-1*d^-1*b*e^-1*d^-1*a*d^-2, b^-1*c*d^-1*c^-1*d^-1*b*d*c*d*c^-1,
  b*e^2*b^-1*d*b*e^-2*b^-1*d^-1, a*e^-1*a^-1*b^-1*e^-1*b*e^2*c^-1*e^-1*c,
  a*e*a^-1*b^-1*c^-1*d^-2*c*d^2*b, c^-1*e^-1*b*a^-1*d*a*c*d^-2*c*b^-1*c^-1,
  a^-1*c^-1*d^-1*c*e^2*d^-1*a^-1*d^-1*e^-2*a^-1,
  a^-1*e^-2*a^-1*d^-1*a^2*c^-1*d*c*d^-2,
  a^-1*c*d*c^-1*a*d*a^-1*c^-1*d^-1*c*a*d^-1,
  e*c^-1*d^-1*e^2*d^-1*c^-1*d^-2*c^-1*e^-1*c^-1,
  a^-1*d^-1*a*c*d^-1*c^-1*a^-1*d*a*c^-1*d*c,
  a^-1*c*a^2*d^-1*a^-2*c^-1*a*c^-1*d*c, d*(c^-1*a^-1*c*a^2)^2*d,
  e*c*e*a^-1*d^-1*a*e*c^-1*e*a^-1*d*a*e, b^-1*e^2*a^-1*d*a*b*e^2*c^-1*d^-2*c,
  a^-1*d^-1*a*d^-1*e^-2*c^-1*a^-2*e*d^-2*a^-1*c,
  d*c*a*d*a*e*b^-1*e^-1*d*b*e*d^-2*a*c^-1, (e^-1*c)^2*c^2*a^-1*c^-4*e^-2*a*d,
  d^-1*a*e^2*a^-1*c*d*a*e^2*a^-1*c^-1*b^-1*e^-1*b*e,
  e^-1*b*a*e^-1*c*e*a*b^-1*c^-1*b*c*d^-1*e*a^-2*c^-1*a*c,
  a*b^-1*c^-1*b*c*b*a*d^-1*a^-1*b^-1*c^-1*b^-1*c*b*a^-1*c*d*c^-1,
  a^-1*b^-1*c^-1*b^-1*c*b*a^-1*c^-2*a*b^-1*c^-1*b*c*b*a*c^2,
  e^-1*c^-1*e*a^-1*b^-1*c^-1*b^-1*c*b*e^-1*c*e*a*b^-1*c^-1*b*c*b,
  b^-1*c*b*a^-1*e^-1*c*e^-1*c^-1*e*a*b^-1*c^-1*b*c*d^-2*c^-1*d^2,
  b^-1*e*a*b^-1*c^-1*b*c*b*a*e^-1*c*b*e*c^-1*a^-1*c*a^2*e^-1*d,
  e*a^-2*c^-1*a*c*e^-1*b^-1*a*e^-1*c*e*a*b^-1*c^-1*b*c*b^2*d^-1,
  b*a^-1*b^-1*c^-1*b^-1*c*b*a^-1*d*a*b^-1*c^-1*b*c*b*a*e*b^-1*d^-1*e,
  a*c*e^-1*d^-1*b*c*b*a*e^-1*c*(e*a*b^-1)^2*c^-1*b*c*b*a^-1*c^-1,
  a^-1*b^-1*c^-1*b^-1*c*b*a^-1*c^-2*a^-1*b^-1*c^-1*b^-2*c*b*a^-1*e^-1*c^-1*e*\
a^-2,
  e^-1*c^-1*b*c*b*a*e^-1*c*e*a*b^-1*e*b*a^-1*e^-1*c^-1*e*a^-1*b^-1*c^-1*b^-1*\
c, d^-1*(c*b)^2*a*e^-1*c*e*a*b^-1*d*b*a^-1*e^-1*c^-1*e*a^-1*(b^-1*c^-1)^2,
  e^-1*c*b*a^-1*e^-1*c^-1*e*a^-1*b^-1*c^-1*b^-1*e*c*b*a^-1*e^-1*c^-1*e*a^-1*b\
^-1*c^-1*b^-1,
  b^-1*e*a^-1*b^-1*c^-1*b^-1*c*b*a^-1*e^-1*(c^-1*b)^2*c*b*a*e^-1*c*e*a*b^-1,
  b*c*b*a*e^-1*c*e*a*b^-1*c^-1*a^-1*c^-1*b*c*b*a*e^-1*c*e*a*b^-1*a,
  c^-2*b*c*b*a*e^-1*c*e*a*b^-1*c^2*b*a^-1*e^-1*c^-1*e*a^-1*b^-1*c^-1*b^-1,
  a^-1*c^-1*a*c*d^-1*a^-1*b*a^-1*e^-1*c^-1*(e*a^-1*b^-1*c^-1*b^-1)^2*c*b*a^-1\
*e^-1,
  a^-1*b*a^-1*e^-1*c^-1*e*a^-1*(b^-1*c^-1)^2*a^-1*d*a^-2*d^-1*b^-1*c^-1*b^-1*\
c*b*a^-1*e^-1*c*e^-1,
  a^-1*d*a*c^-1*b*c*b*a*e^-1*c*e*a*b^-1*a^-1*d^-1*a*b*a^-1*e^-1*c^-1*e*a^-1*b\
^-1*c^-1*b^-1*c,
  a^-1*b^-1*a^-1*b*a^-1*b^-1*c^-1*e^-2*a^-1*d^-1*b^-1*c^-1*b^-1*c*b*a^-1*c^-1\
*e*a*b^-1*c^-1*b*c*b*a*e^2,
  b*e^2*c*b*a*e^-1*c*e*a*b^-1*c^-1*a^-1*d*a*d^-1*c*b*a*e^-1*c*e*a*b^-1*c*e*a^\
-1*d*a*b^-1*d^-1,
  a^-1*e^-1*c^-1*e*a^-1*b^-1*c^-1*b^-1*a^-1*d*a^-2*d^-2*c^-1*e*(c*b)^2*a*e^-1\
*c*e*a*c^-1*d^2*c*e^-2,
  c*b*a*e^-1*c*e*a*b^-1*c^-1*e^-1*d*c^-1*a^-1*e*a^-1*b^-1*c^-1*b^-1*c*b*a^2*e\
^-1*a^-1*e*b*e*c^-1*a^-1*c*a^2*e^-1*d,
  b^-1*a*e*a^-2*b^-1*c^-1*b*c*b*a*e^-1*a*c*d^-1*c^2*e*a*b^-1*c^-1*b*c*b*a*e^-\
1*b*a^-1*e^-1*c^-1*e*a^-1*b^-1*c^-1,
  b^-1*c^-1*b*c*b*a*e^-1*c*e*a^-1*c^-1*a*b*c*b*a*e^-1*c*e*a*b^-1*d^-1*a*b*a^-\
1*e^-1*c^-1*e*a^-1*b^-1*c^-1*b^-1*c*a^-1,
  a^-1*b^-1*c^-1*b*c*b*a^-1*c^-2*e^-1*a^-1*d^-1*a*d^2*c^-1*b*c*b*a*e^-1*c*e*a\
*b^-1*d*e^-1*a^2*b^-1*c^-1*b^-1*c*b*a^-1*e^-1*c^-1*e^-1*d*c^-1*d,
  b*c*b*a*e^-1*c*e*a*b^-2*a*c^-1*b*c*b*a*e^-1*c*e*a*(b^-1*a^-1)^2*d*a*e^-2*c*\
b^-1*c*b*c*d*e^-1*b*e*d*e*c^-1*d^-1,
  b^-1*a*e*a^-2*c^-1*a*c*e^-1*d^-1*b^-1*a*b*a*c^-1*b*c*b*a*e^-1*c*e*a*b^-1*d^\
-2*e^-1*a^-1*b^-1*c^-1*b^-1*c*b*a^-1*e^-1*c^-1*a^-1*d*a*e^-2,
  c^-1*b^-1*c^-1*b*c^-1*e*a^-1*d^-1*a*e*c^-1*b*c*b*a*e^-1*c*e*a^2*b*a^-1*e^-1\
*c^-1*e*a^-1*b^-1*c^-1*b^-1*c*a^-1*b*c*d*c^-1*d^-1*e^-2*b^-1*d^-1*e,
  a^-1*e^2*a^-1*b^-1*c^-1*b^-1*c*b*a^-1*e^-1*d^-2*b*a^-1*e^-1*c^-1*e*a^-1*b^-\
1*c^-1*b^-1*e^-1*c*e^2*c*e*a*b^-1*c^-1*b*c*b*d^-2*b*a^-1*e^-1*c^-1*e*a^-1*b^-\
1*c^-1*b^-1 ],
[ [ b^-1*a^-1, c^-2, d, e, a^3, a*c^-2*a^-1, a*d*a^-1, b^3*a^-1, c*a*c^-1*a,
      c*a^-1*c^-1*b^-1, a*c*a^-1*c*a, a^-1*b*a*b^-1*a, a^-1*b^2*a*b*a^-1,
      a^-1*b^-2*a*b*a^-1, (b*a)^3, b*a*b^-1*a^-1*b*a, (b*a^-1)^3 ],
  [ b, d*c, d^-1*c^-1, e, a^-1*d^-1*c^-1*a^-1, a^-1*e*a^-2, a*b*a*b^-1*a,
      a*b^2*c^-1*a, a*b^-1*a*b*a ] ]];
end,
[ 80, 50 ]],
"PG1200000.11",0,5,1,[ 80, 50 ]],
# 1200000.12
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ d^2, b^2, c^2, a^3, d*e^-1*d*e, e*f*e^-1*f^-1, d*f*d*f^-1,
  (b*e^-1)^2, (a*c)^2, e^5, f^5, a*e*a^-1*f^-1*e^-1*f^-1, (a^-1*f^-1*c)^2,
  (b*a)^3, (b*c)^3, (d*a)^3, (f^-1*a)^3, c*b*d*c*b*c*d*b,
  f^-1*c*e*b*f*e^-1*b*c, c*d*c*f^-1*c*d*c*f, c*d*c*e^-1*c*d*c*e, (c*d)^4,
  f^-1*b*d*b*f*b*d*b, (a^-1*b*d)^3, c*e^-1*f*(c*e)^2*f^-1*c*e^-1,
  e*f^-1*c*f^-1*a^-1*f*c*e^-1*f*a^-1, c*a*d*a^-1*c*e*a^-1*c*d*a^-1*c*e^-1,
  (a^-1*c*d)^4, b*d*a*(c*d)^2*b*a*b*d*a, (a^-1*b*c*a^-1*d*c)^2,
  (b*a^-1*c*d*a^-1*c)^2, f^-1*b*a^-1*d*a*b*f*b*a^-1*d*a*b,
  (d*c*d*a*f^-1*a^-1)^2, b*(c*d)^2*(b*d)^2*b*(c*d)^2,
  f*e^2*a^-1*f*a*b*e^-1*a*f^-1*b*f*b*a^-1*b,
  c*e*a*f^-1*e*a^-1*b*a^-1*e^-1*f^-1*a*b*f^-2*c*f,
  f^-1*a*e^-1*f^2*c*e*f^-2*b*f*b*f^-1*a*f^-2*e*f^-1*c*e,
  b*a^-1*f^-1*a*f*e^-1*b*a^-1*e^-1*a*d*a^-1*e*a*(b*f^-1)^2*e*d,
  f*e*b*f^-1*b*a*f^-1*a*e^2*a^-1*e^-2*(f*b)^2*a^-1*e^-1*a*f^2*a^-1,
  c*e*c*f^-1*a^-1*e^-1*f^-1*e^-1*b*f*b*a^-1*f*c*e*a*f^2*e^-2*c*f^-1*e^-1,
  a*f*e^-2*f*c*e^-1*a*b*e*a*c*e*f^-1*c*f^-1*e^-1*f^-1*b*f*b*a^-1*e^-1*b*e*c*e
    ,
  b*e*a*b*f^-1*b*e*f*a^-1*f*c*e^-1*f*b*c*b*e*c*f^-1*a^-1*f^-1*b*e^2*f*b*a^-1*\
f*a^-1*f^-1,
  c*e^-1*c*e*c*f^-1*e^-1*a^-1*f*e^-1*b*f*b*f^-1*a*f*a*f^-1*a^-1*e^-2*b*a*f^-1\
*a^-1*e^-1*b*a*e*f*c*e^-1*a*f,
  e*c*f*e^-2*(f*c*e^-1*f)^3*c*(f^2*c*e^-1)^3*e^-1*f*a*f*c*e^-1*c*f*e^-1*a^-1,
  e^-1*f*a*f*c*e^-1*(a*e^-1*f)^2*a^-1*e*c*e^2*f^-1*a*f*a^-1*e*c*e*(e*f^-1)^2*\
f^-1*e*c*f*e^-1*c*a*(b*f^-1)^2*e*f^-2*c*e^-1*a,
  f^-1*e*a*f*e*c*f^-1*a*f*e^2*f^-2*c*f^2*e^-1*(f*b)^2*a^-1*f^2*a*f*c*e*a*e*f^\
-1*a^-1*e^-1*c*e*f*c*f^2*e^-1*(f*b)^2*c*f^-1,
  e*c*e*f^-2*a^-1*e*c*f^-1*a^-1*f^-1*b*e*f*b*a^-1*e^-1*a*b*d*e*b*a^-1*e*a*(b*\
f^-1)^2*a*e*f*c*f*a*b*f^-1*b*f*e*f*c*e^-1*b*d*b*e,
  b*e*f^-1*e*c*f^2*b*a^-1*f^-1*a*e^-1*f*b*c*f*a*f^-1*a^-1*f^-1*b*e*f*b*a^-1*e\
^-1*a*f^-1*b*f^-1*(c*f)^2*a^-1*e*a*b*f^-1*b*e*f*a*f*c*f*a*(b*f^-1)^2*e*f^-2*c\
*e^-1*f*e^-1,
  e*a*e*f^-1*a^-1*e^-1*c*f^-2*c*e*c*e^-1*f^-1*a^-1*f*b*e*f*b*f*e*a*f^-2*d*a^-\
1*e*c*d*f^2*e^-1*(f*b)^2*a^-1*e^-1*a*c*e*f^-1*c*f^2*e^-1*(f*b)^2*a^-1*f^-1*c*\
f^-1*d*e*a^-1*c*d*a^-1,
  c*f^-1*e^-2*c*e^-1*f*c*b*f*b*e^2*b*e^-2*a*f^-1*a^-1*b*e^-1*a*e*f*c*e^-1*a*f\
*c*f^2*e^-1*c*e^-1*f*c*a*e^-2*a^-2*f*a^-1*f^-1*a*f^2*c*f*e^-1*c*(e^-1*a^-1)^2\
*f^-1*a*f^2*c*e^-1*a*f,
  f^-1*e*c*f^2*e^-1*(f*b)^2*a^-1*e^-1*d*a^-1*d*f*a^-1*f^-1*c*b*f^-1*b*e*f^2*c\
*e^-1*f*c*a^-1*e*a*b*f^-1*b*e*f^2*c*e^-1*f*b*a^-1*d*a*b*e*a*b*f^-1*b*e*(f^2*c\
*e^-1)^2*a^-1*e*a*b*f^-1*b*e*f*a*f*c*a*b*f^-1*b*e*f^2*c*e^-1*f*d*c*d*a,
  e^2*c*e*a*f^-1*(a^-1*e*f*c)^2*e*f^-1*a*f*a^-1*e*a^-1*c*e^-1*f*c*e^-2*(b*f)^\
2*f*c*e^-1*a*f*a^-1*f^-2*c*e^-2*f^2*c*e^-1*a^-1*e^-1*f^-1*b*f*e*b*a^-1*e*c*f*\
e*a*f^-2*c*f^2*e^-1*(f*b)^2*a^-1*e^-1*a*c*e*f^-1*c*e^2*f^-2*b*e^-2*f*b*a^-1*e\
^-1*a*e*f^-1 ],
[ [ b*a^-1, c*a^-1, d, e ], [ b, d, e, f, a*d*a^-1, c*e*c^-1, a*b*c*b^-1*a ]
 ]];
end,
[ 25, 20 ]],
"PG1200000.12",0,10,1,[ 25, 20 ]],
# 1200000.13
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ d^2, a^3, c^2*b^2, c^-1*e*c*e, d*e^-1*d*e, e*f^-1*e^-1*f,
  c^2*b^-2, d*f^-1*d*f, a^-1*e*a*e^-1, a*c^-1*a*c, d*c*d*c^-1, f^5, e^5,
  b*c*b*c^-1*b^-1*c^-1, f^-1*c^-2*f*c^2, a^-1*f^-1*c^-1*a^-1*f^-1*c,
  (a*d)^3, (a^-1*b)^2*a^-1*b^-1, f*e*b*c^-1*e*f^-1*c*b^-1,
  a^-1*d*a*f^-1*a^-1*d*a*f, b*d*b^-1*f*b*d*b^-1*f^-1, (d*b)^4,
  b*e*b^-1*e*b*e^-1*b^-1*e^-1, b*d*b^-1*e^-1*b*d*b^-1*e, (b*d*b^-1*d)^2,
  c*d*b^-1*(c*d*b)^2, (b^-1*a^-1*d)^3, a*b*d*b*a*b^-1*d*b^-1*a*b*d*b^-1,
  (d*b^-1*a^-1*d*a*b^-1)^2, (b*d*b^-1*a*d*a^-1)^2,
  e*a*b*e*b^-1*a^-1*d*a*e^-1*b*e^-1*b^-1*a^-1*d,
  a*d*b*d*b^-1*a^-1*f^-1*b*a*(b^-1*d)^2*a^-1*b*f,
  c^-1*a^-1*c^-1*a*(d*b)^2*a^-1*b*d*b*a*d*a*b^-1*d*b^-1,
  f^-1*e*a*b*e*b^-1*f^-2*a^-1*c*e^-1*f^2*e^-1*b*e^-1*b^-1*c^-1*e,
  e*b^2*e*b^-1*f^-2*a^-1*f*a*f^-1*e^-1*f^-2*b*e^-1*b^-2*f,
  e^-1*f^2*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*f^2*e*a*b*e*b^-1*f^2*e*f*a^-1,
  b^-1*e^-1*a*f^2*b*e^-1*b^-1*a^-1*e^-1*f^-2*b*a^-1*f^2*e*a*b*e*b^-1*f^-2*e,
  e*a*f^2*b*d*b*a*(b^-1*e)^2*f^-2*a^-1*e^-1*f^2*b*d*e^-1*b^-1*a^-1*e^-1*f^-2,
  e^-1*b^-1*a^-1*e*f^2*a*b*e*b^-1*f^-2*e*a^-1*f^2*a*e*b*e*b^-1*f^2*a^-1*b^-1*\
a^-1*e^-2*b^-1*e^-1*a^-1*e^-1*f^2,
  a^-1*b*e*a^-1*b^-1*f^-2*a^-1*f^2*a*b*e*b^-1*f^-2*a^-1*f^2*b*e^-1*d*b^-1*a^-\
1*e^-1*f^-2*a^-1*f^2*e*b*e^-1*a*b^-1*a*d,
  e^-1*f^-2*b*e^-1*b^-1*a^-1*f^-2*c^-1*f^2*e^-1*b*e^-1*b^-1*a^-1*e^-1*f^-1*c*\
f^2*e*a*b*e*b^-1*f*(f*e)^2*b*e*b^-1*f^2*a^-1,
  e^-1*c^-1*f^-1*a*f^2*a*b*e*b^-1*(f^-2*e)^2*a*b*e*b^-1*e*f^-1*a*f^-1*e^-1*f^\
-2*b*e^-1*b^-1*a^-1*b*e^-1*b^-1*e^2*c*f^-2,
  b*e^-1*b^-1*a^-1*e^2*f^-2*c^-1*f^2*e^-1*b*e^-1*b^-1*a^-1*f^-1*a^-1*e^-1*f^-\
1*e^-1*a*f^2*e*a*b*e*b^-1*e^2*a*b*e*b^-1*f^2*e*f*c*f^-1*a^-1,
  b^-1*f*e*a*b*e*b^-1*f^-2*a^-1*b*e*f^2*a*b*e*b^-1*e*f^-2*a^-1*e^-1*c*a^-1*b*\
e^-1*b^-1*a^-1*e^2*f^-2*c^-1*f^2*b*e^-1*b^-1*e^-1*(a^-1*f^-1)^2,
  f*e*a*b*e*b^-1*e*f^-2*a^-1*f^-1*b^-1*f^2*a*e*b*e*b^-1*f^-2*a^-1*b^-2*e*a*e*\
b*e*b^-1*f^-2*a^-1*b^-1*f^2*a*e*b*e*b^-1*f^-2*a^-1,
  f^-2*e*a*b*e*b^-1*f^2*e*f*b^-1*e^-1*f^-2*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*f^2*b\
*e^-1*b^-1*a^-1*e^-1*f^-2*a*b*a^-1*f^2*a*b*e*b^-1*f^-2*e*a^-1,
  c^-1*e^-1*f*a*f^2*e^-1*b*e^-1*b^-1*a^-1*(f^-2*c*e)^2*b*e*b^-1*f^-2*e*a^-1*f\
^2*e*a*b*e*b^-1*f^2*e*f^2*e^-1*b*e^-1*b^-1*c^-1*f^2,
  f*e^-1*f*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*f^2*b*e^-1*b^-1*e^-1*a^-1*e^-1*f^-2*a\
^-1*f^-1*e^-1*f^-2*b*e^-1*b^-1*a^-1*e^-1*(e^-1*b*e^-1*b^-1*a^-1)^2*e^-2*f^-2*\
a^-1,
  b^-1*f*e*f*a*b*e*b^-1*e*f^-2*a^-1*f^-1*b^-1*f^2*a*e*b*e*b^-1*f^-2*a^-1*f^-1\
*b^-1*e^-1*b^-1*f^-1*a*e^-1*f^2*b*e^-1*b^-1*f^-1*e^-1*f^-2*b*e^-1*b^-1*a^-1*e\
^-1*f^-2*c^-1*e^-1*f*c,
  b^-1*f*e*a*b*e*b^-1*f^-2*a^-1*b*e*f^2*a*b*e*b^-1*e*f^-2*b*d*b^-1*a*d*e^-1*f\
*b*e^-1*b^-1*a^-1*e^-1*f^-2*a^-1*f^-1*e^-1*f^-2*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*\
e*d*a*b*d*b^-1*d*a^-1,
  e^-1*a*f^2*b*e^-1*b^-1*a^-1*e^-1*f^-1*b*e*b^-1*f^-1*e*a*b*e*b^-1*f^2*e*f*a^\
-1*e*a^-1*f^-1*a*f^2*e*a*b*e*b^-1*f^-2*e*a^-1*f^2*e*a*b*e*b^-1*f^-1*e*a^-1*b^\
-1*e^-1*a*f^2*b*e^-1*b^-1*c*f*c^-1*e^-1*f^2*b*e^-1*b^-1*a^-1*e^-1*f^-2*b*e^-1\
*a*f^2*b*e^-1*b^-1*a^-1*e^-1*f^-1,
  e^-2*a*f^-2*b*e^-1*b^-1*a^-1*e^-1*f^-2*c^-1*f^2*e^-1*b*e^-1*b^-1*a^-1*f^-2*\
e^-2*f^-2*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*b^-1*f*e*f^2*e^-1*b*e^-1*b^-1*a^-1*e^-\
1*f^-2*a*b*f*c*e^-2*f^-2*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*f^2*e^-1*b*e^-1*b^-1*a^\
-1*e^-1*f^2*e^-2*a*f^-2*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*f^2*b*e^-1*b^-1*a^-1*e^-\
2*f^2*e^-2*a*f^-2*b*e^-1*b^-1*a^-1*e^-1*f^-2*a*f^2*e^-1*b*e^-1*b^-1*a^-1*e^-1\
*f^2 ],
[ [ a, b, c, e, f ], [ b*a^-1, c*a^-1, d, e, f ],
  [ d, e, f, a*d*a^-1, a*f*a^-1, a^-1*c*b*a^-1 ] ]];
end,
[ 16, 25, 24 ]],
"PG1200000.13",0,10,1,[ 16, 25, 24 ]],
# 1200000.14
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ d^2, a^3, c^2*b^2, c^2*b^-2, d*e^-1*d*e, c^-1*d*c*d,
  b^-1*f*b*f^-1, e^-1*f^-1*e*f, a^-1*f*a*f^-1, a*c^-1*a*c, d*f^-1*d*f,
  c^-1*f^-1*c*f, e^5, f^5, e^-1*c^-2*e*c^-2, a^-1*e^-1*a*c^-1*e^-1*c,
  b*(c*b^-1)^2*c^-1, (d*a)^3, (a^-1*b)^2*a^-1*b^-1, b^-1*d*b*e*b*d*b^-1*e^-1,
  (b*d)^4, a^-1*d*a*e^-1*a^-1*d*a*e, (d*c*b)^2*d*c*b^-1,
  b*d*a*b^-1*d*a*b*d*a, a*b^-1*d*a^-1*b*a^-1*d*b*a*b^-1*d*b^-1,
  c*b*d*b^-1*c*e*c*b^-1*d*b^-1*c^-1*e^-1,
  a^-1*d*b^-1*d*b*d*a*d*b^-1*a*d*a^-1*b, (a*d*b)^2*a*c^-1*b*c*d*b*c^-1*d,
  d*a^-1*b*c*d*a*(d*b)^2*a^-1*c*b^-1*a,
  f^-1*d*a^-1*b*e^-1*b^-1*f^-1*e^-1*a*d*a^-1*e*f*b*f*e*b^-1*a,
  b*f^-1*e^-1*a*b^-1*a*e^-1*b^-1*f^-1*e^-1*a*e*a^-1*e*f*b*f*e*b^-1*a*b^-1*e*b\
*e^-1,
  e*f*e*a^-1*(f*e*b)^2*a*b*a^-1*e^-1*b*e^-1*f^-1*b^-1*f^-1*e^-1*a*e*f^-1*e*b,
  f*a^-1*b*e^-2*a^-1*e*f^2*b^-1*e*a^-1*b^2*a^-1*b*e^-1*f^-1*b^-1*f^-1*e^-1*a*\
f^-1*e^2*b^-1,
  b^-1*f*e*b*e^-2*a^-1*e*b*f*e*b*a*b^-1*e^-1*b^-1*a^-1*b*f^-1*e^-1*b^-1*f^-1*\
e^-1*a*e^2,
  d*f^-1*a*b^-1*a*e^-1*b*f^-1*e^-1*a*f^-1*e^2*b^-1*d*b*e^-2*f*a^-1*e*f*b*f*e*\
b^-1*a*b^-1,
  c*f*b*e^-2*a^-1*e*f*b*f*e*b*a*b^-1*c^-1*b*e^-2*f*a^-1*e*f*b*f*e*b*a*b^-1,
  e^-1*f*e^-1*a^-1*e*f*b*f*e*a^-1*b*a^-1*e*a^-1*b*e^-1*f^-1*b^-1*f^-1*e^-1*a*\
f^-1*e^2*b^-1*c^-1*e^-1*c,
  f^-1*b^-1*f^-1*a^-1*b*e^-1*b*f^-2*e^-1*a*f^-1*e*b*f^-2*e^-1*b*e^-1*a*b*a*e^\
-1*b^-1*f^-2*e^-1*a*f^-1*e,
  a*f*e^-2*a^-1*(e*b^-1)^2*a*b^-1*e*b^-1*f*d*b*a^-1*b^-1*e^-1*b*f^-1*e^-1*a*f\
^-1*e^2*b^-1*d*a^-1*e,
  f^-1*b^-1*a^-1*b*e^-1*b^-1*e^-1*a*e^2*b*e*c*e^-1*b^-1*f^-1*a*e^-1*b^-1*f^-1\
*e^-1*a*e*f^-1*e*b^-1*f^-1*e*f^-1*a*e*c,
  f^-1*e*a^-1*f^-1*b*e^-1*b*a^-1*f^-1*b*e^-1*b^-1*f^-1*e^-1*a*f^-1*e^-1*c^-2*\
e^-1*f^2*b*e^-1*f*e^-1*a^-1*e*f*b*f*e*a^-1*b^-1,
  a*d*b^-1*e^-1*d*f*e^-1*a^-1*e*f*b*f*e*b^-1*a*f*d*b*d*a^-1*f^-1*b^-1*a^-1*b^\
-1*e^-1*f^-1*b^-1*f^-1*e^-1*a*f^-1*e^2*b^-1,
  e^-1*f*a*e^-1*b*e^-2*f*a^-1*e*f*b*e*f*c^-1*a*c^-1*b*e*b*a^-1*b*f^-1*e^-1*b^\
-1*f^-1*e^-1*a*f^-1*e^2*b^-1*f^-1*e^-2*a,
  e^-2*f*a^-1*e*b*f*e*b*a*b*f*e*f*a^-1*e^2*b*e^-2*f^2*a^-1*e*f*b^-1*e*a^-1*b*\
e^-2*f^2*a^-1*e*b*f*e*b^-1*a*e^2*b,
  f*a*(b*d)^2*a^-1*b*e^-1*a^-1*e*f*b*f*e*a^-1*b^-1*a^-1*f^2*e*a*b*f*d*b*d*a^-\
1*f^-1*e^-2*f*a^-1*e*f*b*f*e*b^-1*a*b*e*b^-1*f^2*e,
  f^-1*a^-1*e*a^-1*b*a*e^-1*b^-1*f^-1*e^-1*f^-1*a*e^2*a^-1*f^-1*b^-1*e^-1*b*f\
^-1*e^-1*f^-1*a*e^2*b^-1*e^-2*f*a^-1*e*f*b*f*e*b*a*b^-1*e^-1*f*a^-1*e*f*b*f*e\
*b^-1*a*b^-1,
  d*f^-1*b*e^-1*a*b^-1*a*e^-1*b^-1*f^-2*e^-1*a*e*f*b*e^-1*f*e^-1*a^-1*e*f*b*f\
*e*b^-1*a*e^-1*b^-1*f^-2*e^-1*a*e*f^-1*e*b*e^-1*b^-1*e*a^-1*e*d*b*e^-2*f*a^-1\
*e*f*b*e*b^-1*a*b^-1, (a^-1*f^-1*b*e^-1*b^-1*f^-1*e^-1*a*f^-1*e^2)^5,
  e*f*b*e^-1*f*e^-1*a^-1*f*e*b*f*e*a^-1*b*e^-1*f^-1*b^-1*f^-1*e^-1*a*e^2*f^-1\
*b^-1*a*e^-1*f*a^-1*f*e*b*f*e*b^-1*a*f^2*e^-1*f*a^-1*f*e*b*f*e*a^-1*b*a^-1*e*\
b^-1*f^-2*e^-1*a^-1*f*e*b*f*e*b^-1*a*b^-1*f*e ],
[ [ b*a^-1, c*a^-1, d, e, (a*e)^2*a, a*e*a^-1*f^2 ],
  [ e, f, a*d*a^-1, a*e*a^-1, a^-1*e*a, b^2*d^-1, b*d*b, b*e*b^-1,
      a*b*c*b^-1*a, a^-1*b*e*b^-1*a ] ]];
end,
[ 25, 40 ]],
"PG1200000.14",0,10,1,[ 25, 40 ]],
# 1200000.15
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^2, c^-1*e^-1*c*e^-1, e^-1*a^-1*e*a, c^-1*d*c*d, a^-1*d*a*d,
  d*e*d*e^-1, e^5, b*e*b^-2*e^-1*b, b^-2*d*b^2*d, c*e^2*b*e^-1*b*c,
  (b*d)^2*(b^-1*d)^2, d*b^-1*e^-1*b*d*b*e*b^-1, b^-1*e^-1*b*e^-1*b^-1*e*b*e,
  b^2*c*b^-2*e^2*c^-1, a^-1*b*e*b*a*b^-1*e^-1*b^-1,
  c^-1*b*d*b^-1*d*c*b^-1*d*b, a*b*a^-1*b^-2*a*b^-1*a^-1*b^-2,
  b^-1*e*b*a^-1*b^-1*a^-1*b^2*a*b^-1*e^-1*a,
  b^-1*a*b^-1*d*(b*a^-1)^2*b^-1*d*b*a, a^-2*b*d*b^-1*a^3*b*d*b^-1*a^-1,
  b^-1*(a*b)^3*(a^-1*b^-1)^2*a^-1, d*c^-1*a^-1*b*d*b^-1*a*c*a*b*d*b^-1*a^-1,
  d*c^-1*a^-2*b^-1*d*b*a^2*c*a^-1*b^-1*d*b*a,
  c^-1*b^-1*e^-1*c^-1*b*e^-1*a*c^-1*b^-1*e^-2*b^-1*e^-1*a*b,
  b^-1*d*b*a*b^2*a^-1*e^-1*b^-1*d*b*a*e*b^-2*a^-1,
  c^-1*e*a^-1*b^-2*c^-1*a*e^-1*b^-2*a^-1*b*e^-1*(a*b)^2,
  b^-1*e^2*a^-2*b*e^2*a^-1*b*e^-2*a^-2*b*e*a^-1,
  c^-1*e^-1*b^-1*a*e^-1*(b*a)^2*c*(b^-1*a^-1)^2*e*b*e*a^-1,
  c^-1*a*b^-1*a*e^-1*b*a*b^-1*c*e^2*b^-1*e^2*a*b^-1*e^-1*a*b*a,
  e^-1*c^-1*a*b*e*b^-1*a^-1*b^-1*e*b*c*a^-1*b*e^-1*b^-1*e^-1*a*b*e^-1*b^-1*e^\
-1, e^-1*b*a^-1*e*b^-1*a^-1*b^-1*e*a^-2*e^-1*b^-1*e*a^-1*b*e*a^-1*b^-1*a^-3,
  (b^-1*a^-1)^2*b^-1*e*a^-3*b^-1*e*a^-1*b*e^2*a^-2*e^-1*b^-3*a^-1*e^-1*b^-1,
  c^-1*a*c*b*e*a*e*b*e^-1*a*b^-1*a*e^-1*a*b*a*e^-2*b*a*e^-1*b^-1*c^-2*b^-2*a,
  d*b^-1*(e^-1*a)^2*b^-1*e^-1*a*b*e^-1*a^2*b^-1*d*b*a^-1*e*b*e*a^-2*b^-1*a^-1\
*e*b*e*a^-1,
  a^-1*b^-1*c^-1*b*c*a^-1*b*e*b^-1*a*b*e^-1*b*a^-1*e^-2*b^-1*e*a^-1*b*a^-1*b^\
-2*c^-1*b^-1*a^-1*b^-1*e*a^-1*b*e,
  a^-2*(b^-1*c^-1)^2*b^-1*e*a^-1*b^2*a^-1*b^-1*e*a^-1*b*e*a^-2*b*e^-1*b^-1*a*\
e^-1*b^-1*e^-1*c^-1*b^-1*a^-1*b^-1*e*a^-1*b*e,
  b^-1*e^2*b*e*c^-1*a^-1*c*a*e*a*b^-1*e*b*c*a^-1*b*a^-1*e^2*b*a^-1*b^-1*a^-1*\
c*b^-1*a^-1*e*b*e*a^-1*e*b^-1*e*a ],
[ [ d, e, a^-2*b^-1, b*a^-1*c*a^-1, b^2*c^-1*a^-1, b*c*b*a^-1,
      b^-1*a*c^-1*a, b^-1*a^-1*c^-1*a^-1, a^-1*b*d*b^-1*a ],
  [ a, d, e, b*d*b, b*e*b^-1, c*a*c^-1 ] ]];
end,
[ 25, 40 ]],
"PG1200000.15",0,10,1,[ 25, 40 ]],
# 1200000.16
[[1,"abcd",
function(a,b,c,d)
return [[ d^4, b^-1*d^-1*b*a^-1*d*a, d^-1*b^-1*d^2*b*d^-1, a*d^2*a^-1*d^-2,
  d*c*d^2*c^-1*d, b*d^-1*b^-2*d*b, d*a*d*b*d*b^-1*d^-1*a^-1,
  a^-1*b^-1*d^-1*b*a^2*d*a^-1, d*c^-1*d*c*d^-1*c^-1*d^-1*c,
  c^-1*b^-1*d*a*d^-1*a^-1*b*c*d, b^-1*c^-1*d*c*b*d*a*d^-1*a^-1,
  c*b^-1*a*d*a^-1*d*b*c^-1*d, b^-1*d*b*d^-1*c*d^-1*a^-1*d^-1*a*c^-1,
  c*b^2*c*b^-1*c^-1*b^-2*c^-1*b, c*b*c^-1*b^-1*c^-2*b^-1*c*b*c,
  b^-2*a*d*a^-1*b^2*a*d^-1*a^-1, (c*b^2)^2*(b*c^2)^2,
  c^-1*a*d^-1*a^-1*d*c*a^-2*(d*a)^2,
  a^-1*b^-1*a*d^-1*a^-1*b*a*b^-1*a*d*a^-1*b,
  b^-2*a*b^-1*c^-2*(c^-1*b^-1)^2*c*a^-1, b^-3*c^2*b^4*c^-2*b^-1,
  b^-1*c*a^-1*c*b^2*c*a*b^-1*c^-1*b*c,
  d^-1*c^-1*b*c^-1*b^-1*d*c*d*c^-1*b*d*c*b^-1*c,
  a*c*b^2*c*a^2*c*b^3*c^-1*b^-1*c*b,
  c*a^-2*c^-1*b^-2*c^-1*a^-1*b*(c^-1*b^-1)^2*b^-2,
  b^2*c^-1*b^-1*c*b*c*b^-1*c^-1*a*c^-1*b^-2*c^-1*a^-1*c^-1,
  b*c*a^-1*b^-2*a*b^-2*c^-1*b^2*c^-1*b^-1*c*b^-1*c^-1,
  c^-1*a*b^-1*c^-1*b^-1*c*b*c*b^-1*c^-1*b*c*b^-3*a^-2,
  a^3*c^-1*(c^-1*b^-1)^2*c^-1*b^3*c*a^-1*b^-2*a,
  d^-1*a*c^-1*b^-2*c^-1*a^-1*d*c^-1*b*(b*c)^2*(b^-1*c^-1)^2,
  a*b^-1*(c*b)^2*c*b^-1*a*b^2*c^-1*b^-1*c*b^-1*c^-1*a*b,
  (b^-1*c^-1)^2*b*c*a*d*a^-1*b*(b*c)^2*b^-1*d^-1*c^-1*b^-1*d,
  b^-1*c^-1*a^3*b*(c^-1*b^-1)^2*b^-1*a^-1*c^-1*a^-1*b^-2*c^-1*b^-2,
  b*a^-1*c^-1*a^-1*c*b^-1*c^-1*a^-1*c*a*c^-1*b^2*c^-1*b^-4*a,
  a^-1*c^-1*a^-1*c*b^-1*c^-1*a^-1*c*a^2*b*c*b*c^-1*b*c*b^-3,
  c*a^-1*c^-1*b^-1*c^-1*b*c*b^-3*a*b^2*c*a*c*b^2*c*a^-1,
  a*c^-1*b^-2*c^-1*a^-1*b^3*c^-1*b^-1*c*b^3*c^-1*b^-4,
  c^-1*b*c*b^-3*a^-1*b^4*c^-1*b^-1*c*b^-1*c^-1*b^-1*a*c*b,
  b^-2*c^-1*a^-1*b^4*c^-1*a^-3*(c*b)^2*c^-1*b*c^-1*a*c^-1,
  b^-1*c*b^5*c*b^-1*c*b*c^-3*b*c*b*a^-1*c*a^2,
  a*b*c*b^-1*c^-1*b^2*c^-2*b*c*b^-2*a*b^-1*c*b*c*b^-1*a*c^-1*b^-2*c^-1*a*c^-1
    , c*b*c^-1*a^-1*c*a^2*b^3*c^-1*b*c*b^2*a*c*a*b^2*(b*c)^2*b*a*c*a*b^-1,
  b^-1*a*b^3*c^-1*b^-1*c*b*c*a^-1*b^2*(b*c)^2*b^-1*c*b^4*c^-1*b^-1*c^-1*b^3*c
    ,
  c^-1*a^-3*c^-1*b^-2*c^-1*a^-1*c*b^4*c^-1*b*c*b^-1*a^-2*c^-1*b^-2*c^-1*a^-1*\
c^-1*b*c^-1*b^-2*a^-2*c^-1*b^-2,
  b^2*c^2*a*b^3*c^-1*b^-1*c*b*c*a*b^-1*c^-1*a*c^-1*b^-2*c^-1*a^-1*b*c*b^-1*c^\
-1*b^2*c*b^2*a*c*a*b^-2*a*c^-1*b^-2*c^-1,
  a^-1*b*c^-1*b^-1*c^-1*b*a^-1*c*a^-1*c^-1*b^-2*c^-1*a^-2*b*(b*c)^2*b^-1*c^-1\
*b^2*a^-2*c^-1*a*b^-1*c*b*c*a*c*b*(b^3*(b*c)^2*b^-1*a^-1)^2*a^-1*c^-1*b^-2*c^\
-1*a^-1*c^-1*b ],
[ [ d, a*d*a^-1, a^-2*b^-1, b*a^-1*c*a^-1, b^2*c^-1*a^-1, b*c*b*a^-1,
      b*c^-1*b^-1*a^-1, b^-1*a*c^-1*a, b^-1*a^-1*c^-1*a^-1, b^-3*a^-1 ],
  [ a, b, c ] ]];
end,
[ 25, 32 ]],
"PG1200000.16",0,10,1,[ 25, 32 ]],
# 1200000.17
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^4, e^-1*c*e^-1*c^-1, d^-1*e*d*e^-1, c^-1*d^-1*c*d^-1,
  a*e*a^-1*e^-1, a^-1*d^-1*a*d, e^5, b*d^2*b^-1*d^-2, b^-1*d^-1*b^2*d*b^-1,
  b^-1*e^-1*b^2*e*b^-1, b^-1*(d*b)^2*d^-1*b^-1*d,
  e^-1*b*e^-1*b^-1*e*b*e*b^-1, b*e^-1*b^-1*d^-1*b^-1*e*b*d,
  b*a^-1*b^-1*e^-1*b^-1*a*b*e, b^-1*d*b*c*b^-1*d*b*d^-1*c^-1,
  e*c^-1*b*e*b^-1*c*b^-1*e^-1*b, (a^-1*b)^2*d^-1*(b^-1*a)^2*b^-1*d*b,
  b^-1*a*e*b*(b*a^-1)^2*b^-2*e^-1*a, a^-1*b^-1*e*a^-1*b*a^-1*(e*d^-1)^2*b*e,
  b^-1*e*b*d^-1*c^-1*b^-1*d^-2*b^-1*e^-1*d*c^-1,
  a^-2*b*d^-1*b^-1*a^3*b^-1*d*b*a^-1,
  b^-1*a^-1*b*d^-1*b^-1*a*b*a*b^-1*d*b*a^-1, e*b^-1*e^-2*b*e^-2*b^-1*e^2*b*e,
  e^-1*c^-1*d^2*b^2*e*c*b^-1*d^2*b^-1*e^-1,
  c^-1*d*a*b^-1*d*b*a^-1*c*a^-1*b^-1*d*b*a,
  c^-1*d^-1*a^-1*b*d^-1*b^-1*a*c*a*b^-1*d*b*a^-1,
  e^-1*b^-3*d^-2*a^-3*e*b^-1*e^-1*d^-2,
  b^-1*d^-2*a^-1*b*a^-1*e*c^-1*b*c*b*e^-1*a*c^-1*e,
  e*b*d^2*a^-1*b^-1*a^-1*b^2*d^-1*a*d^-1*b^-1*e^-1*a*b^-1,
  e^-1*b^-1*a^-1*d^-1*b^2*d^-1*a*b*d^-2*a^-1*e*b^2*a,
  d^2*e^-1*b*a^-1*b*d^-2*a^-1*b^-2*a*b*e*a*b^-1,
  d^-2*e*a*b*a*d^-2*b^-2*a^-1*b*a^-1*b^-1*e^-1*b,
  a*b^-1*a*b*d^-1*a*d^-1*e*b*e^-1*a^2*b^-2*a*e^2,
  b^-1*a^-1*b^-2*a*e^-1*d^-1*e^-1*b^-1*e^-2*b^-1*d^-1*a*b*a*b^-1*a,
  c^-1*a*b^-1*a*b*d^-2*a*b^-1*c*a^-1*b^-1*a^-1*b*d^-1*e*d^-1*a^-1*b,
  b^-1*d^-1*b*e*a^-1*b*e*d^-2*a^-1*b*d*b^-1*a*d^-2*e^-1*b^-1*e^-1*a,
  a^-1*c^-1*a^-1*c*a*b^-1*a*b*d^-2*a*e*b*e*b^-1*d^-2*e^2*b*e,
  e*a^-1*b*a^-1*d^-2*b^-1*a^-1*b^-2*d^2*a*e*d^2*b*e^2*b*a^-1*b,
  a*e^-1*c^-1*a*c*b*e^-2*a^-1*b*a^-1*b^-1*d^2*a^-1*b^-1*a*b*d^-2*a*b^-1*a*e^-\
1,
  d^-2*a^-1*b^-1*a^-1*e^-1*b*a^-1*b*e^-1*a^-1*b^-1*a^-1*b*d^-2*a^-1*b*a^-1*e*\
b*a^-1*d^-2*b*a^-1*b^-1*e^-2,
  a*d^-2*b^-1*a*e^-1*b^-1*a^2*e^-1*b*a*d^-2*b^-1*e^-1*a*b*a^-1*d^-2*b^-1*a^-1\
*b*a^-1*e*a^-1*b*a^-1*d^-2*b^-1*a^-1*e*b*e,
  e*(a^-1*e*b)^2*a^-1*d*a^-1*e^2*c^-1*b*a^-1*d^2*b^-1*a^-1*b*a^-1*b^-1*e^-1*c\
^-1*b^-1*c*(e*b)^2*b*d^-2*a*e*b^2*d^-1*b,
  e^-1*d^-2*b^-1*a^-1*e^-1*b^-1*c^-1*b*c*e*b*e*a^-1*d*b*a^-1*b^-1*a^-1*b*d*a^\
-1*e*b*a^-1*e^-1*c*a^-1*e*b^-1*c^-1*e^-1*d^-2*b^-3*e^-1*b^-1,
  e^-1*a*b*d^-1*a*d^-1*b^-1*a*e^-1*b^-2*a*e^-1*b*a*b^-1*e^-1*d^2*a*(b*e)^2*d^\
2*a*e^-1*b^-1*a*d^2*b*a*d^2*a^-1*e*d^2*b^2*a*b ],
[ [ d, e, a^-2*b^-1, b*a^-1*c*a^-1, b^2*c^-1*a^-1, a^-1*b*d*b^-1*a ],
  [ e, a^3, b*c*b*a^-1, b*c^-1*b^-1*a^-1, b^-4, b^-1*c*b^-1*a^-1,
      b^-1*c^-1*b*a^-1, b^-1*d^2*b^-1, c*a*c^-1*a, c*a^-1*c^-1*a^-1,
      a*b*d*b^-1*a ] ]];
end,
[ 25, 80 ]],
"PG1200000.17",0,10,1,[ 25, 80 ]]];

PERFGRP[358]:=[# 1209600.1
[[1,"abcd",
function(a,b,c,d)
return [[ c^2, d^4, a^-1*c*a*c, a^-1*d^-1*a*d, b^-1*c*b*c, b^-1*d^-1*b*d,
  a*b^-4*a*b, a^4*b^-1*a^-1*b^-1, (a^-2*b^2)^2, c*d^2*(c*d^-2)^5, (c*d)^15,
  d^-2*c*d*((c*d^-1)^2*d^-1)^2*c*d^-1*c*d*c*d^-2*(c*d)^6*c,
  (c*d*c*d^-1)^2*c*d^-2*c*d*c*(d^-1*c*d^-2*c*d*c*d^-1)^2*(c*d^-1)^2*d^-1 ],
[ [ a, b, c^(d^-1), c^(d^-1*c^-1), c*d^2*c^-1*d ],
  [ b^-1*a^-1, c, d, a^-2*b*a^-1 ] ]];
end,
[ 8, 6 ]],
"PG1209600.1",0,1,[ 19, 1 ],[ 8, 6 ]],
# 1209600.2
[[1,"abcd",
function(a,b,c,d)
return [[ c^2, d^4, b^-1*d^-1*b*d, a^-1*c*a*c, b^-1*c*b*c, a^-1*d^-1*a*d,
  a*b^-4*a*b, a^4*b^-1*a^-1*b^-1, (a^-2*b^2)^2, (c*d)^7, c*d^2*(c*d^-2)^4,
  (c*d^-1*c*d)^5, ((c*d)^2*c*d^-1)^5,
  (c*d)^3*d*(c*d^-1*(c*d)^2*c*d^-2)^4*c*d^-1 ],
[ [ b^-1*a^-1, c, d, a^-2*b*a^-1 ],
  [ a, b, c^d, c^(d^-2*c^-1), (d^-2)^(c^-1*d*c^-1),
      d*(c*d^-1)^2*c^-1*d^-1*c^-1 ] ]];
end,
[ 6, 21 ]],
"PG1209600.2",0,1,[ 1, 20 ],[ 6, 21 ]],
# 1209600.3
[[1,"abcd",
function(a,b,c,d)
return [[ a^3, c^2*b^2, c^-2*d^2, c^4, c*a^-1*c^2*a*c, (a*c^-1)^2*a*c,
  (a*b)^2*a*b^-1, c*b^-1*c*b*c*b^-1*c^-1*b^-1,
  c^-1*b*(a^-1*c^-1*b^-1)^2*a^-1, b^-1*a*c^-1*b^-1*a*c*b^-1*a*c^-1,
  c*a*b^-1*a*(c*b^-1*a^-1*b^-1)^2,
  d*c^-1*a^-1*b*d*a^-1*d^-1*c^-1*a^-1*b*d^-1*a^-1,
  a*d*a*b^-1*c^-1*(d*a)^2*b^-1*c^-1*d^-1,
  b^-1*a^-1*c*b*c^-1*a*b^-1*a^-1*c^-1*b*c^-1*a,
  b*c*b*a*c*a^-1*b*c^-1*b*a*c*a^-1,
  d*a^-1*c^-1*b^-1*c*a*d^-1*a*c^-1*b^-1*d*b*c^-1*a^-1,
  b^-1*c^-1*b^-1*a^-1*d^-1*c*a^-1*b^-1*c^-1*b^-1*a^-1*d*c*a^-1,
  d^-1*a^-1*d^-1*c^-1*a*b*a^-1*c^-1*d^-1*a*d^-1*a^-1*b^-1*a,
  a^-1*b^-1*a*c*a^-1*b*d^-1*a^-1*b*a*c*a^-1*b*d^-1,
  a*b*d*a*b*a*d*b*a^-1*c^-1*b^-1*d^-1*b^-1*a*d,
  d*b^-1*c^-1*b^-1*a^-1*c^-1*a*d^-1*a*c^-1*a*d^-1*c*a*c,
  b*d*a*c^-1*b^-1*d^-1*c^-1*b*c^-1*a*c^-1*d*c^-1*b*a^-1,
  d*a^-1*b*c*b^-1*d^-1*a*b^-1*c*b*c*d^-1*c^-1*a*c^-1,
  a*b*a^-1*d*a*d^-1*b*d^-1*a^-1*d^-1*a*c*d^-1*a*d,
  d^-1*c^-1*b^-1*c^-1*a^-1*b*d^-1*a*c^-1*d*a^-1*c*b*d^-1*a^-1*b,
  b*c^-1*b^-1*a*d*a^-1*d^-1*a^-1*b*(a*d^-1)^2*b*a^-1*c,
  c^-1*d*a*d^-1*a*d*b*d^-1*c*a^-1*d^-1*a^-1*d*a^-1*b^-1*d^-1,
  d*a^-1*d^-1*b*a*c^-1*d*c^-1*a*b*c*b^-1*c*d^-1*c^-1*b^-1*a^-1,
  d*b*c^-1*a*b*a^-1*d^-1*b^-1*a*b*d*c*a*b^-1*d^-1*a*c^-1,
  c^-1*a*c^-1*b*d*b*a^-1*d^-1*b*a*c*(a*b^-1*d^-1)^2,
  b^-1*a*(d*a^-1)^2*c^-1*b*c^-1*d^-1*a*d*a^-1*d^-1*a*b^-1*d,
  b*d^-1*a^-1*c^-1*a*b*a^-1*c*a*d*c^-1*b*c^-1*a*c^-1*d*a*c^-1,
  c^-1*d^-1*a*b*d*a^-1*c*a*b^-1*d*a^-1*c^-1*d^-1*a*c*b^-1*d^-1*a^-1,
  a^-1*c^-1*a*d*a*b*a^-1*d^-1*c*b^-1*d*b^-1*c^-1*b^-1*a^-1*c*d*a^-1*b^-1,
  b*a*c^-1*d^-1*b*c^-1*d^-1*c^-1*a^-1*b*d*b*a^-1*(c^-1*d^-1)^2*a^-1*c,
  c^-1*a^-1*d*c^-1*a*c^-1*b^-1*c*(a*d)^2*b^-1*c*d*a^-1*c^-1*a^-1*d,
  d*a^-1*b*a^-1*d^-1*a^-1*c^-1*a*b^-1*a^-1*d*b^-1*a^-1*c*b*c*d^-1*a^-1*b^-1,
  a^-1*d*a*c*a^-1*b*d*a^-1*c*d^-1*b^-1*c*d*c^-1*b*a^-1*d*b^-1*c^-1,
  d^-1*c^-1*b*a*b*c^-1*a*d*c*a^-1*d*a*b^-1*a^-1*c^-1*d^-1*a*b^-1*c^-1*a,
  b*d*a*c*d*a^-1*b^-1*c*a*d^-1*a*d*c^-1*d^-1*(c^-1*b^-1)^2*d^-1*a,
  a*d^-1*c*d*a*c^-1*d*a*c*d*b^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1*a*c*d^-1,
  d*c*a^-1*d^-1*b*a^-1*(d^-1*a)^2*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a*c*a^-1,
  c^-1*d^-1*a*b*c*a*d*a^-1*b*a^-1*c^-1*a^-1*d*a*c^-1*d^-1*b^-1*a*c^-1*b,
  d*c^-1*d^-1*a*d*c^-1*b^-1*c*b^-1*d*c^-1*b*d^-1*c*b^-1*c^-1*a*d^-1*c*a^-1*c,
  c*b^-1*d^-1*a*d*c^-1*a^-1*b^-1*d^-1*b^-1*c*b^-1*a^-1*d^-1*a^-1*c*a^-1*d*a*b\
*a, a^-1*d^-1*a*b*c^-1*d^-1*b^-1*d*b*c*d^-1*a^-1*c^-1*(d^-1*c*b^-1)^2*a*c^-1,
  a*d*a^-1*c*d^-1*(b^-1*c)^2*d*c*b*d*b^-1*c^-1*d^-1*c^-1*a*d^-1*a*c^-1,
  d*b*(d^-1*a)^2*d^-1*c*a^-1*b*a*d^-1*c^-1*b*c*(d^-1*a^-1)^2*b*c,
  a^-1*d*a*b^-1*c^-1*d*c^-1*a*d^-1*a*c^-1*b^-1*a^-1*d*c^-1*b*a^-1*c*d^-1*a^-1\
*c,
  d^-1*b^-1*a*c^-1*d^-1*c^-1*b*c*b*a*d^-1*b^-1*c^-1*d^-1*c^-1*b*a*b*c^-1*d^-1\
*c^-1*a, b*d^-1*a^-1*c*a*d*a*c^-1*a*d*c^-1*d*(b*d^-1*a)^2*b^-1*a^-1*d^-1*a^-1
    ,
  d*b*d^-1*c^-1*b*a^-1*d^-1*b*c*a*b^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1\
*a*b^-1,
  d^-1*a*b*a^-1*d^-1*b^-1*a^-1*c^-1*d*a^-1*c*b^-1*c*d*b^-1*d^-1*b^-1*c^-1*b*a\
*c^-1*a^-1,
  d^-1*a^-1*d*a^-1*d^-1*c*a^-1*b^-1*a^-1*c^-1*d^-1*b*d^-1*a*b^-1*c*b*a*d^-1*c\
*b^-1*a^-1*c,
  c*d*a*d^-1*c*d*b^-1*c*a^-1*c*b*c*d^-1*a^-1*c^-1*d*c*b^-1*d^-1*c^-1*a^-1*c^-\
1*b,
  a^-1*d^-1*b*c*a^-1*b^-1*d^-1*c^-1*a^-1*d^-1*b*c*d^-1*b*d^-1*c^-1*b*a^-1*c*a\
*d^-1*a*b^-1,
  b*d*b*c^-1*d^-1*c^-1*a*d^-1*c*a^-1*b^-1*d^-1*a*c*b*c^-1*d^-1*b^-1*c^-1*b*a*\
c^-1*d^-1,
  d*a*d^-1*b^-1*c^-1*b^-1*a*d*c*b^-1*d^-1*b^-1*d*c^-1*b^-1*c^-1*a*d^-1*a^-1*b\
^-1*c*b^-1*c^-1,
  c^-1*d^-1*a*d^-1*b^-1*a^-1*d*c*a*b*c*b*a*d^-1*a^-1*d^-1*c^-1*b^-1*a*d^-1*c*\
a*d,
  d^-1*b*a^-1*c*d^-1*c^-1*a^-1*b^-1*a^-1*c^-1*d^-1*c^-1*b^-1*c*d^-1*a^-1*d^-1\
*b^-1*c^-1*a^-1*c*b*a^-1,
  a^-1*c*d^-1*a*b^-1*a^-1*d^-1*c^-1*a^-1*d*b*a^-1*d*c*a^-1*c*d*a*c*b^-1*d*a^-\
1*d,
  d^-1*b*a^-1*b*c*a*d*a^-1*(c*b)^2*a*d*a^-1*c^-1*a*b^-1*c^-1*d^-1*a^-1*b^-1*c
    ,
  b*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*b*d*b*c^-1*a*b*d*c^-1*b*a*d^-1*a^-1*c*a
    , d^-1*a^-1*d*c^-1*d*c*a^-1*c*b*(a*d)^3*c^-1*b*a^-1*c^-1*d^-1*a*c*a^-1,
  d^-1*c^-1*b*d*a*b^-1*a^-1*d*a*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*a*d^-1*a*d*c^-1\
*b^-1*a^-1*c^-1,
  d*a^-1*b*c*a*(d*a*c^-1)^2*d*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*a*c^-1*b^-1*c\
^-1,
  b*a^-1*b^-1*d*a^-1*d*b^-1*c*a*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c*d^-1*b*d^-1*a*\
c*b^-1*c^-1,
  b*c*a*d^-1*a^-1*c*b^-1*c^-1*a^-1*b*d*b*a*d^-1*b^-1*c*a^-1*d*a^-1*b*a*d*a*c^\
-1,
  d^-1*b^-1*a*d^-1*a^-1*d^-1*b*a*d*c*b^-1*d^-1*a^-1*d^-1*c*a^-1*c*d*c^-1*a*d^\
-1*c*a*b,
  c*b^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*a*c^-1*a^-1*d*a^-1*b^-1*a^-1*c^-1*a^-1*d^-\
1*c^-1*d^-1*a^-1*d*a^-1,
  a^-1*c*b*d^-1*b^-1*c^-1*b*c^-1*d^-1*b^-1*a^-1*b^-1*d^-1*b^-1*d*b*a*c^-1*b^-\
1*(d^-1*a^-1)^2*d,
  d^-1*c*a^-1*b*a^-1*c^-1*b^-1*(d*a^-1)^2*d^-1*a*c^-1*d*a^-1*c^-1*d^-1*b*a*c*\
d*a^-1*b^-1,
  d*b*a^-1*c*(d*a^-1)^2*d^-1*a*d*a^-1*b*c*b*a*d*a^-1*b^-1*a*c^-1*a*b*a^-1,
  d*a*d^-1*a^-1*d^-1*b*c^-1*d^-1*b*a*c^-1*d^-1*b*a^-1*b^-1*(d*a)^2*d^-1*a^-1*\
b*c*a^-1,
  c*a^-1*d^-1*c*a*d*c*b*d^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*a*b*c^-1*a*d*a*d\
^-1*a^-1,
  a*c^-1*b^-1*c^-1*a*d^-1*c^-1*a*b*d^-1*c*a^-1*c*b*d*a*d^-1*c^-1*a^-1*d^-1*a^\
-1*d*c^-1*d^-1,
  a*d*b*a*c*d*b*d^-1*a^-1*d^-1*b*d*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*a^-1*d^-1*\
c^-1*b^-1*c^-1,
  b*c*b^-1*d^-1*c*a*b*a^-1*c^-1*d^-1*c*a*d*a*b*a^-1*c*b^-1*a*d*c^-1*a*b^-1*d,
  d*a^-1*c*b^-1*c*b*(a^-1*d^-1)^2*b^-1*c^-1*a^-1*(b^-1*d)^2*c*b^-1*a^-1*d*b^-\
1*c^-1*b^-1,
  d*a^-1*c*b^-1*c*d*c*b^-1*d^-1*b^-1*c^-1*a*d^-1*b^-1*d^-1*b*a^-1*(d^-1*b^-1)\
^2*c^-1*d^-1*a^-1*c^-1,
  d^-1*c^-1*b*c^-1*a*d*c*a*b*a^-1*d^-1*c^-1*d^-1*a*b*c*d^-1*c*a*d^-1*c*a^-1*b\
*d*c^-1,
  d^-1*a*d*c*b*c*d^-1*a*d*b^-1*d^-1*a^-1*d^-1*b^-1*a*(b^-1*c^-1)^2*a^-1*b*d^-\
1*a^-1*d^-1*b^-1,
  a*b*c*d^-1*c^-1*b^-1*a^-1*c*d*a*b^-1*d^-1*a*c^-1*a^-1*d^-1*a^-1*b*a*c^-1*a^\
-1*d*a^-1*b*d,
  a^-1*d*a*d^-1*a^-1*b*a*d^-1*c^-1*a*b*a*d^-1*c^-1*b*(d^-1*b^-1)^2*a*c^-1*d*a\
^-1*b^-1*d,
  b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*a^-1*c*d*b*a^-1*d*a*b^-1*d^-1*a*c*\
d^-1*c^-1*a^-1*d,
  d^-1*a*c^-1*d^-1*a^-1*d^-1*a*b*c*b^-1*a*d*a*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*a\
*d^-1*a*d*c^-1*b^-1,
  b^-1*c*d*a*b*a*c*b*d^-1*b^-1*a*c^-1*a^-1*d^-1*c^-1*b*a*c^-1*d^-1*b^-1*c^-1*\
d^-1*c*a*d^-1,
  a*b*a^-1*d^-1*b^-1*c^-1*b^-1*c*d^-1*c^-1*a*d*b^-1*a^-1*b^-1*c^-1*d*a^-1*c^-\
1*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1,
  b^-1*d^-1*a^-1*b*d^-1*(a*d)^2*c*b^-1*a*d^-1*b*a^-1*c*a^-1*d*b^-1*c^-1*d^-1*\
c^-1*a*d^-1*c^-1,
  a*d^-1*c*a^-1*d*a*d^-1*a*c*d^-1*a*b*d^-1*c^-1*b*a^-1*d*a*d^-1*a*c^-1*a*d^-1\
*b^-1*d,
  d^-1*a*c^-1*d*c*a*c*b^-1*c*d^-1*b*a*b*d^-1*c*a^-1*d^-1*c^-1*a^-1*d*b*c*a^-1\
*b^-1*a^-1,
  c*a^-1*d*b^-1*a*b*d^-1*b*a*d*a*b^-1*c*d*b*a^-1*c^-1*(a*d^-1)^2*c^-1*a^-1*b^\
-1*a,
  b*a*d*a^-1*b^-1*c^-1*a*b*d*a^-1*b*c^-1*a^-1*d*a^-1*b^-1*d^-1*b^-1*c*d*c^-1*\
a*d^-1*a*c,
  a*d^-1*c^-1*d*c^-1*b*c*d^-1*b*a^-1*b^-1*c*b^-1*d^-1*a*b*d*a*d*a^-1*c*a*b^-1\
*c^-1*b,
  c^-1*d^-1*a*d*a*c*d^-1*a^-1*d^-1*c*a*b^-1*c*d^-1*c*b*c^-1*a*d^-1*c^-1*a*b^-\
1*a^-1*d*b^-1,
  d^-1*a^-1*b*c^-1*a^-1*c*b^-1*a^-1*d*b*c*b*a^-1*c^-1*d^-1*(a^-1*d)^2*a^-1*c^\
-1*d*a*b*a^-1,
  c^-1*d*a*c*d*c*b*a*d^-1*a^-1*b^-1*a*c*d^-1*a^-1*b^-1*d*a*d*c^-1*b*d^-1*c^-1\
*b*d,
  (d^-1*a^-1)^2*d*a*b^-1*c^-1*b*a*d^-1*a^-1*c*b^-1*c^-1*b^-1*d*a*b^-1*c*d*b^-\
1*d^-1*a*c*a^-1,
  a^-1*c*b^-1*c*b*a*d^-1*c*(a^-1*d^-1)^2*c*b^-1*d^-1*b^-1*c^-1*b*c*d*c^-1*a*d\
^-1*b*a*d,
  d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*c*a*c*b*(c^-1*d*a)^2*c*a^-1*d^-1*c\
*b^-1*c^-1,
  b^-1*d^-1*a*c^-1*d^-1*b*d^-1*b^-1*c*b^-1*a^-1*c^-1*d*a^-1*b*a*d^-1*b^-1*d^-\
1*c*b^-1*a^-1*d*c^-1*b*c^-1,
  d*a*c*d*a^-1*b^-1*a^-1*c^-1*b^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c*b*c^-1*b*a*d*b\
^-1*d^-1*b^-1*a,
  a*b^-1*d*a*c*d*a*c^-1*b*a^-1*d*a^-1*c^-1*d^-1*a*b^-1*a^-1*d^-1*a*c*a*b*a*d*\
a*c^-1,
  b*d^-1*c*a*d^-1*a^-1*b*c^-1*d^-1*a^-1*d*b^-1*c*a^-1*c*b^-1*c*a^-1*d^-1*c*a^\
-1*d*b^-1*a*c^-1*d^-1,
  c*d*a^-1*c*a*b*a^-1*d^-1*a*c*a^-1*d*c^-1*a^-1*d*b^-1*a^-1*d^-1*c^-1*d^-1*a^\
-1*d^-1*c^-1*b*d*a,
  c^-1*a^-1*d^-1*c*d^-1*a*d^-1*c*a^-1*b*a*c^-1*a^-1*d^-1*a^-1*d*b^-1*c^-1*a*c\
^-1*d^-1*a*d*a^-1*c^-1*b^-1,
  c*d*a^-1*c*b^-1*a*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*a*b^-1*d*a*b^-1*c^-1*d\
^-1*a^-1*b^-1*c*b*d^-1*c^-1*b^-1,
  c*a^-1*b^-1*(d*a^-1)^2*d^-1*b*a*b*d^-1*b^-1*d^-1*c^-1*d^-1*a*c^-1*d*a*c*d^-\
1*(a*d)^2*b^-1,
  a*c^-1*d^-1*a*b*a*d*b^-1*c^-1*a*d*b^-1*c*a*d*a^-1*c^-1*d^-1*c*a^-1*d^-1*a^-\
1*b^-1*a*c*a*d^-1,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*d*c^-1*a^-1*d*b^-1*a^-1*d*a*b*c^-1\
*b^-1*a^-1*d^-1*a*c^-1*b^-1*d,
  d*a^-1*c^-1*a*d*a^-1*d*c*b*c*(d*a^-1)^2*c*b*d*(a^-1*d^-1)^2*c*a^-1*c*d^-1*a\
^-1*c,
  d^-1*c*b^-1*a^-1*d*a*c*a^-1*d^-1*c*a*d^-1*c*b^-1*(d*a^-1)^2*b*d*b^-1*d*c*b^\
-1*a^-1*d^-1*c^-1,
  d^-1*a^-1*c^-1*b^-1*d^-1*b*d^-1*a*b*c^-1*d*b*d^-1*c^-1*b^-1*c^-1*d^-1*a*b^-\
1*c^-1*d*b*d^-1*(c^-1*b^-1)^2,
  d*a^-1*b^-1*a*d^-1*a^-1*b*c*b^-1*c^-1*d*a*d^-1*a^-1*d^-1*c^-1*a^-1*d*b*(c*a\
*d^-1)^2*b^-1*c^-1,
  b*d*b*a^-1*d*a^-1*(b^-1*c^-1)^2*a*d^-1*a^-1*c^-1*a*b^-1*c*d*a*c*a^-1*b^-1*d\
*a*d*c^-1*a^-1,
  d*c*a*d^-1*c^-1*b^-1*c^-1*b*d^-1*c*a*d^-1*c^-1*b^-1*a^-1*b^-1*d^-1*b*a*d^-1\
*b^-1*a*c^-1*d*c^-1*b^-1*c,
  a^-1*b^-1*a*c*d*a*b*c*d*c^-1*a*d^-1*c*a^-1*b^-1*d^-1*b^-1*a^-1*d^-1*a^-1*d*\
b^-1*c^-1*a^-1*d^-1*a*d^-1,
  b*c*b*d*a^-1*b^-1*c^-1*b^-1*a^-1*(d^-1*a)^3*c*b*a*d^-1*a*c^-1*b^-1*c^-1*(d*\
a^-1)^2,
  c*a^-1*d^-1*a^-1*b*d*c^-1*a^-1*b*d*b*c*d*c*d^-1*a*b*c^-1*d^-1*c^-1*b*d^-1*a\
^-1*b*a*d^-1*a^-1,
  d*a^-1*d^-1*b*c*b*d^-1*a^-1*d*a^-1*b*c*b^-1*a^-1*c*a*b^-1*c*d^-1*b^-1*a*d*a\
*d^-1*b^-1*d^-1*a^-1,
  d^-1*a*b*d^-1*a*c^-1*d*a*c^-1*(d^-1*b)^2*a*c*d^-1*a^-1*c^-1*d^-1*a^-1*c*a*b\
*a*d^-1*a^-1*c*a,
  d*a*d*c*b^-1*a*d*a^-1*c*d^-1*a*b*a^-1*c*d^-1*a*d^-1*c*b*a^-1*d*c*b^-1*d*c^-\
1*b^-1*c*a^-1,
  d*a*d^-1*a*c^-1*d*a*c^-1*a^-1*d*a^-1*b*c^-1*d^-1*c^-1*b*a^-1*d^-1*b*c*b*d^-\
1*a*d*a*d^-1*b*a,
  d^-1*a^-1*b*c*d^-1*a^-1*b^-1*a*c^-1*a*d^-1*a^-1*c*d^-1*c*b^-1*d*a*c*a^-1*b*\
d^-1*c^-1*a*b*c^-1*b^-1*a,
  c*b^-1*c*a^-1*d^-1*a^-1*d*a^-1*b*d^-1*a*b^-1*c*d*a*b^-1*c*b^-1*d*b*c*d*c^-1\
*b^-1*a^-1*d^-1*b*a,
  a^-1*d*c^-1*b^-1*c*b*d^-1*a*c*d*b*c*d*a*d^-1*a^-1*(c*b)^2*d^-1*b^-1*d*c^-1*\
b*a^-1*d^-1*b,
  d*b^-1*c^-1*a^-1*c*d^-1*c^-1*b*d*b^-1*d*c^-1*a*c*b*d*a^-1*b^-1*d^-1*a*b^-1*\
a*d^-1*b^-1*a*c^-1*d^-1*a^-1,
  a*d^-1*c^-1*b*d*a*b^-1*a^-1*c^-1*d*a^-1*d*c*b*a*d*b^-1*a^-1*c^-1*b*c*d^-1*a\
^-1*c^-1*b*c^-1*d^-1*b,
  c^-1*b^-1*c^-1*d^-1*a*b*c^-1*(d^-1*b^-1)^2*c^-1*b^-1*d*b*c*a^-1*c*d*c^-1*d*\
(b^-1*d^-1)^2*a*d*b^-1,
  a^-1*b^-1*a^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*d^-1*c*b^-1*a*c^-1*d^-1*c^-1*a^-1\
*b*d*b^-1*d^-1*a*b^-1*d^-1*b*c*a*d,
  a*b*d*a^-1*b*a*c*d*c^-1*b^-1*a^-1*d*a*b*d^-1*a*b^-1*a^-1*d^-1*a*c^-1*d^-1*b\
*c^-1*b^-1*c*d^-1*b^-1,
  b^-1*c^-1*d*b*d^-1*b^-1*a^-1*c*b*a*d*(a*d^-1)^2*a*d*c^-1*a^-1*b^-1*d^-1*a*d\
^-1*b^-1*c^-1*a*d^-1*c,
  c*b^-1*d^-1*a*b*c*d*b*d*b^-1*d^-1*a*c*d^-1*a*d^-1*b*c*b^-1*c*d^-1*c*a^-1*b*\
c^-1*d*b^-1*d^-1,
  d^-1*a^-1*d*a^-1*c*a*d*a*b^-1*c*d*b^-1*d*a*b*a^-1*d*a^-1*b^-1*a^-1*c*a^-1*b\
^-1*a*d*a^-1*d^-1*a,
  d*a^-1*b*c*d^-1*a*d*a^-1*b*d*a*c^-1*a^-1*d*c*b^-1*a*b*c*b^-1*d^-1*b^-1*a*d^\
-1*a^-1*d*a*b^-1,
  c*b*a^-1*d^-1*b*c^-1*d*b*d*a^-1*c^-1*a*b^-1*a^-1*d^-1*a*c^-1*b^-1*d*a*d^-1*\
a*d*a*c^-1*b^-1*a^-1*d^-1,
  d*a^-1*b^-1*c*d*a^-1*d^-1*a*b*a^-1*d*b*a*d*a*b^-1*c^-1*d^-1*c^-1*a*d^-1*a^-\
1*b*c*d^-1*b^-1*c^-1*a,
  d*a*d*c^-1*b*a^-1*d*a^-1*d^-1*a^-1*b^-1*a*c*b^-1*c*d*a^-1*d^-1*a*b^-1*c^-1*\
b^-1*d*a*d*c^-1*b^-1*c,
  a*b^-1*d*a*c*d^-1*c*a^-1*b*d*a^-1*(b^-1*c^-1)^2*(a*d^-1)^2*a^-1*c*b*c^-1*d^\
-1*a*b*c*d^-1*b^-1,
  d*a*c^-1*b*a*d^-1*(b^-1*c^-1)^2*d*c^-1*a*d^-1*a*b^-1*a^-1*c^-1*a*b^-1*c^-1*\
b*a^-1*d^-1*a*b^-1*d*c*a^-1,
  b*d*b*c^-1*(d^-1*b)^2*a^-1*b^-1*d^-1*b*a^-1*c*b*c^-1*b*d^-1*b^-1*a*c^-1*d*b\
*d^-1*b^-1*a^-1*b*a*c^-1,
  b^-1*d*c*b^-1*a*d*a^-1*c*b*d^-1*a*b^-1*d*c*b*a^-1*d^-1*b^-1*a*c*d^-1*c*a^-1\
*c*b*a*d^-1*b*a^-1,
  d*a^-1*c^-1*b^-1*c*b^-1*a*d^-1*b^-1*c^-1*b^-1*a*c^-1*a^-1*d^-1*a^-1*b^-1*d^\
-1*b*a*c^-1*d*a^-1*c^-1*d^-1*b*c^-1*a^-1*c,
  c^-1*b^-1*c^-1*d*c*a^-1*b*d*a*c*a^-1*d^-1*a^-1*b^-1*d^-1*c*a^-1*b*d^-1*b^-1\
*c^-1*d^-1*c*a*d^-1*c^-1*a^-1*b^-1*d^-1,
  a^-1*c*b^-1*d^-1*c^-1*b*a^-1*d^-1*c^-1*b*a*d*c^-1*a^-1*b*d^-1*a*b*c^-1*d*b^\
-1*d^-1*a*b^-1*a^-1*d^-1*c^-1*a*b,
  c^-1*b*a^-1*c*d*a*c*d^-1*b*c*b^-1*a*c*d^-1*c^-1*a*d*(a*b^-1*d^-1)^2*c^-1*d^\
-1*c^-1*a^-1*b^-1*d,
  d*b^-1*d*a^-1*d^-1*b*a*c*d^-1*b*d*b^-1*d*c*a*b^-1*a*d^-1*b^-1*a^-1*b*c*a*d^\
-1*b^-1*c^-1*b^-1*a^-1*b^-1,
  c^-1*b*c^-1*d^-1*a*b*d*a*c^-1*d*c^-1*a^-1*c^-1*b^-1*c*b^-1*d^-1*a*b^-1*c*d^\
-1*b*d^-1*a^-1*c^-1*b^-1*d*b^-1*d^-1,
  d*a^-1*b*c^-1*a^-1*d*c^-1*b*c*a^-1*b*d*c*(d^-1*a^-1)^2*b*a*d^-1*c^-1*b^-1*a\
^-1*d*a^-1*c^-1*d*a*c,
  c*(a^-1*d)^2*b*a*d^-1*a^-1*b^-1*d^-1*a*b^-1*c*d*a^-1*b^-1*a*c^-1*d*b^-1*c*b\
^-1*a^-1*d^-1*a*c*a^-1*d^-1,
  b*c*b^-1*c^-1*d*a^-1*c*b*a^-1*d^-1*a*b^-1*c*a*d^-1*c*a^-1*d*c^-1*a*d*a*b^-1\
*c*a^-1*d^-1*a^-1*b^-1*d^-1,
  d^-1*a*b^-1*c*d*b^-1*d*a^-1*c*b*a*d^-1*a*c*d^-1*a*c^-1*b^-1*d^-1*a*b^-1*c^-\
1*d*b^-1*d*c^-1*b*c^-1*a^-1,
  d*a*b*c^-1*d^-1*b*d^-1*b^-1*a^-1*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*c^-1*b\
*a*d^-1*a*d*a*d^-1*b^-1*a^-1*b^-1,
  b^-1*d*c^-1*a^-1*d*a*d^-1*a*c*d*c*a^-1*d*(b*c)^2*d^-1*a*d^-1*a^-1*b*a*d^-1*\
a*b^-1*d^-1*b^-1*a*c^-1,
  d^-1*b^-1*a^-1*c^-1*b*c*b*d^-1*b^-1*a^-1*c*a*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-\
1*b^-1*c*a*c*d*c^-1*a^-1*b^-1*a^-1*c^-1*a,
  b^-1*a^-1*d^-1*c*b*c^-1*d*c*b^-1*c^-1*d^-1*b*a*(b*d^-1)^2*c^-1*b^-1*a^-1*d^\
-1*c^-1*b*c^-1*a^-1*c^-1*d*a^-1*c^-1*a,
  d*a*c^-1*a*b*a*d*a*b^-1*d^-1*(a*c^-1*d)^2*c^-1*a^-1*d*b*a^-1*d^-1*b^-1*a*b^\
-1*c*b^-1*d*a^-1*c,
  a^-1*b*a*d^-1*a*b*a*c*d^-1*a^-1*c^-1*d^-1*c^-1*a^-1*b*a^-1*c^-1*d*b^-1*d*c*\
b^-1*a^-1*d^-1*b^-1*c*a^-1*b^-1*a^-1*d,
  d*a*b*c*d^-1*b^-1*d^-1*a*b*a*d^-1*a^-1*b*a*b*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*c\
^-1*a*b^-1*d^-1*a*c*d^-1*b^-1,
  b^-1*c^-1*d^-1*b*d^-1*c^-1*b*a^-1*d*a*c*b^-1*c^-1*d*a^-1*c*d*c^-1*b*c^-1*b^\
-1*d*a*d*c*b^-1*a^-1*c*a^-1*d^-1,
  d*b*a^-1*c^-1*b^-1*a*c^-1*d*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b\
^-1*c^-1*a*c^-1*d^-1*a*c*a^-1*b^-1*c^-1*b^-1,
  d*c*d*b*a*b*d^-1*a^-1*c^-1*d*a^-1*b*a*c*b*d^-1*a*b^-1*c*d^-1*b^-1*d*a*b^-1*\
d^-1*a^-1*b^-1*a^-1*c^-1*a,
  d*a*c*b*d^-1*a*b*a*d^-1*c^-1*a*b^-1*a^-1*c^-1*b*a*d^-1*a^-1*b*c*b*c^-1*a*d^\
-1*b^-1*a^-1*c^-1*b^-1*c^-1*a^-1,
  c^-1*b^-1*d^-1*c^-1*b*c^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*b*d*b*d^-1*c^-1*b*\
c^-1*d*a^-1*d^-1*c^-1*d*a*d^-1*b^-1*d^-1*a^-1*d,
  b*d*b^-1*d*a*c*b^-1*a^-1*c*a*b^-1*a^-1*d^-1*b^-1*a*d^-1*a*b*a*d*a*b^-1*d^-1\
*b*a^-1*c^-1*a*d^-1*c^-1*a^-1,
  c*b^-1*a^-1*d*a^-1*b*d*a*b^-1*c^-1*b^-1*a*d^-1*c*b*c^-1*b^-1*d^-1*c*b^-1*d^\
-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*c^-1*d,
  a*b*d*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d*a^-1*d^-1*a^-1*b^-1*d*c^-1*(a^-\
1*d^-1*b^-1)^2*a^-1*c^-1*a*d*b^-1,
  d^-1*b*d^-1*b^-1*c*b*a*b*d^-1*a*(d^-1*b^-1)^2*d^-1*c*b*a^-1*d*a*b^-1*d^-1*a\
^-1*b^-1*a*c^-1*b^-1*d^-1*b^-1*c,
  (a*d)^2*b^-1*c*b*c*a*d^-1*b^-1*(a*b*d)^2*a*c^-1*d^-1*a*b^-1*c^-1*(a^-1*d^-1\
)^3*b^-1,
  a*d^-1*a*d*c*b*c*d^-1*a*d*a*c^-1*b^-1*d^-1*a^-1*d*(a^-1*d^-1*c^-1)^2*a^-1*d\
^-1*b*a^-1*d*b^-1*a*c^-1,
  d^-1*b*d^-1*c^-1*b*a^-1*d*c^-1*a*b*c*d^-1*c*b^-1*c^-1*a*c^-1*b*d*a*b^-1*c^-\
1*(d^-1*b^-1)^2*c^-1*b^-1*a^-1*b^-1,
  d*c^-1*a*b*a^-1*c*d^-1*a*b^-1*c^-1*b^-1*d*b^-1*a^-1*c^-1*b*c*a^-1*d*b^-1*d^\
-1*b^-1*c^-1*d*a^-1*c*d*c^-1*b^-1*a,
  d*a*b^-1*d^-1*a*(c^-1*d^-1)^2*c*b*c^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*b*c^-\
1*(a*d)^2*c^-1*a^-1*c*b^-1,
  c*a^-1*c*b*a^-1*d^-1*a^-1*(c^-1*b^-1)^2*a*d*a*b*(d*a^-1)^2*b^-1*c^-1*b^-1*a\
^-1*c*d^-1*a*c*d^-1*a^-1*b,
  b*c*a^-1*d*a*b*a^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c*b*a^-1*(d^-1*b^-1)^2*\
c^-1*d*c^-1*a*d^-1*b^-1*a*b^-1*c,
  d*b*(a*d^-1)^2*b^-1*c^-1*d^-1*a^-1*c*d*b^-1*a^-1*b^-1*c*a^-1*d*c^-1*a*d*c*b\
^-1*d^-1*a^-1*d*a^-1*b*d*a^-1*c,
  c*a^-1*c*d^-1*b^-1*a*d*c^-1*b^-1*c^-1*a*d^-1*c^-1*b^-1*a^-1*d^-1*b*a^-1*c^-\
1*a^-1*d^-1*c^-1*a*d^-1*c^-1*b*d*b^-1*d*a^-1*b^-1,
  c^-1*b^-1*a^-1*d^-1*a^-1*c*d*c*a*d^-1*a*d*c^-1*a^-1*d^-1*a^-1*b^-1*c*a^-1*c\
*b*a^-1*d*b^-1*c^-1*d*a*d*a^-1*d^-1*a,
  d*a*b^-1*c^-1*d*b*d^-1*b^-1*a^-1*d*b^-1*(d^-1*b^-1*c^-1)^2*a*b*d^-1*a*b^-1*\
c^-1*d*b^-1*d^-1*b^-1*a^-1*c*a*b,
  a^-1*b^-1*d*(a^-1*d^-1)^2*a*c^-1*a*d*a^-1*c^-1*d*c*d^-1*a^-1*c^-1*d^-1*c*b*\
c*b^-1*d^-1*c^-1*a^-1*d^-1*a^-1*c^-1*d^-1*b,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*c*a*b^-1*c*d*b^-1*c*b^-1*a^-1*d^-1*c*a^\
-1*d^-1*c^-1*b^-1*c^-1*d^-1*c*a*b^-1*d*a,
  b^-1*c*a^-1*c*b^-1*d*a*c^-1*b*c^-1*d^-1*b^-1*c^-1*a^-1*d^-1*a*c^-1*a^-1*b^-\
1*d^-1*(b^-1*d)^2*c^-1*b^-1*a^-1*d*c^-1*a^-1*c,
  c^-1*d^-1*b^-1*a^-1*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*c*b*a*d*a^-1*b^-1*c^-1*b^\
-1*a*d^-1*c*b^-1*c^-1*b^-1*d^-1*c^-1*a*d*c^-1*a^-1*b,
  d^-1*a*b^-1*a*c*d*c^-1*b^-1*a^-1*c^-1*d*c^-1*b*a*d^-1*a^-1*b*d*a^-1*(b^-1*c\
^-1)^2*a*d^-1*b^-1*c*a^-1*d^-1*a^-1*b,
  c*b*c*d*a^-1*d^-1*a^-1*c*a*b^-1*a^-1*c^-1*a*b*d*a^-1*d*c*d*a^-1*d^-1*b^-1*c\
*a^-1*d^-1*a*d^-1*c^-1*b^-1*c^-1*a^-1,
  d*a*c*d^-1*c^-1*a^-1*c^-1*b^-1*a*d*a^-1*d^-1*b*c*a*d^-1*c*d*b*c^-1*d^-1*c*d\
*a^-1*c^-1*b^-1*d^-1*a*d^-1*c^-1*b,
  b^-1*a*b*d*c*b^-1*c*a*b*a^-1*d^-1*b*d^-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-\
1*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*b^-1*a^-1*c,
  a*d^-1*c^-1*b*a^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*a*d*a*d^-1*b*c*d^\
-1*b^-1*c*a^-1*c*d^-1*b*a^-1*c^-1*a*d^-1,
  d*(a^-1*d^-1)^2*b*c*b^-1*c*a^-1*d^-1*c*d*(c^-1*a^-1*d^-1)^2*b^-1*c*a^-1*b*d\
^-1*a^-1*c^-1*d^-1*b*c^-1*a^-1*b^-1,
  d*a^-1*(c^-1*b^-1)^2*a*d*a^-1*b^-1*c^-1*a*d*b*c^-1*a*b*a*d*c*d^-1*a*b^-1*c^\
-1*a^-1*d^-1*c*a^-1*c^-1*b^-1*a,
  b^-1*c^-1*d*b*d*a^-1*b^-1*a*c^-1*a^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c*a^-1*b*d\
*b^-1*d^-1*c*b*a^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1,
  b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d*a*b*c^-1*a^-1*b^-1*d^-1*b*(a*d^-1)^2*b*a*d\
^-1*a^-1*b^-1*c^-1*a*d*a^-1*d*a,
  d*a^-1*b^-1*a*c^-1*b*d^-1*a*c^-1*a*b^-1*d^-1*a*c*a^-1*b*a*d*a^-1*c^-1*a*b^-\
1*d*a*b*(c*d^-1)^2*b*a,
  b*a^-1*d^-1*b*a*d*a*c*b^-1*a^-1*d*b*(d^-1*a*c^-1)^3*d^-1*b*c*a^-1*d^-1*b*c^\
-1*a^-1*d^-1*a,
  d^-1*c^-1*b*c^-1*a*d^-1*a^-1*c*a*d^-1*c*a*c*d*b^-1*a*d^-1*a^-1*d^-1*c^-1*a^\
-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b,
  d*c^-1*a*d^-1*a*b^-1*(d^-1*a^-1)^2*d^-1*a*c^-1*b^-1*(d^-1*a)^2*b*c^-1*a*d*a\
*b^-1*c^-1*d*b^-1*d^-1*a*b*a^-1,
  a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*c^-1*b^-1*a^-1*b^-1*c^-1*d*c^-1*(a*d^-1)^2*b\
^-1*c^-1*a^-1*d^-1*b*d^-1*a*b^-1*d^-1*a*c^-1*b^-1*d,
  b^-1*c*d*b^-1*d*a^-1*c^-1*a*b^-1*c*b^-1*d^-1*c^-1*b*d^-1*a*b*c*d^-1*b*d^-1*\
a*b^-1*d^-1*a^-1*c^-1*b^-1*a*d*a*c*a^-1,
  b^-1*a*d^-1*a^-1*c^-1*d*a^-1*b^-1*c^-1*b^-1*d^-1*a^-1*d^-1*a*d^-1*b^-1*c^-1\
*b^-1*d^-1*a*b^-1*c^-1*d*b*a^-1*d^-1*c^-1*a*d*a*b^-1*c,
  b^-1*c*d*a*b*c^-1*d^-1*b*d^-1*a*b^-1*c*a^-1*d^-1*c^-1*a*c^-1*b^-1*d*a*d^-1*\
a^-1*b^-1*d^-1*c*a*d^-1*a^-1*c^-1*a*d*a^-1,
  b*d*a*d*c*d*c^-1*a^-1*c*d^-1*c*b*d*b*d^-1*b*a^-1*d*b^-1*d^-1*c^-1*a^-1*b*d^\
-1*c^-1*b^-1*d^-1*a*b*d^-1*b^-1*a,
  c^-1*d^-1*b*d*a*b^-1*a^-1*d*a*d^-1*a^-1*c*b^-1*a*d^-1*a*b^-1*d*a*b*a^-1*d^-\
1*a^-1*b*d^-1*b^-1*a^-1*c*b*a*d^-1*b^-1,
  c*d*b*c*b*d^-1*a*b*c^-1*d^-1*b*d^-1*a*b*a*c^-1*b^-1*a^-1*(b^-1*d^-1)^2*c^-1\
*b*a^-1*d^-1*b*(d^-1*c^-1)^2*b,
  b*a*d^-1*a*c^-1*b*a^-1*d^-1*a^-1*c*d*a^-1*b^-1*a*c*d*a^-1*d^-1*a^-1*b^-1*d^\
-1*b^-1*a*d^-1*b*a*c^-1*d*c*b*d^-1*c^-1,
  a^-1*d^-1*a^-1*(c^-1*b^-1)^2*a*d^-1*a^-1*c^-1*b^-1*c*d*c*b^-1*c^-1*b*d^-1*a\
^-1*c^-1*d^-1*c^-1*a*d^-1*c^-1*(b^-1*d^-1)^2*a*c,
  d*b^-1*d*c*b^-1*a^-1*d*b*c*b*(d^-1*a)^2*d^-1*c^-1*b^-1*a*d^-1*a^-1*d*a*c^-1\
*b^-1*d*a*d^-1*a*b^-1*a*c^-1*b^-1,
  b^-1*c^-1*b*a*d*a^-1*d*b^-1*a^-1*c*a^-1*d^-1*b^-1*c*b^-1*c^-1*d*a*b^-1*c^-1\
*d*a^-1*d^-1*a^-1*b^-1*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d,
  d^-1*a^-1*c^-1*d*c^-1*b*c^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b*c^-1*a^-1*\
d*b^-1*d*c*b^-1*c^-1*d^-1*a^-1*c^-1*b^-1*d^-1*a^-1*c^-1*b,
  c^-1*b*c*b*d^-1*c*a^-1*c*b^-1*a*d^-1*a^-1*c*d*a*c^-1*(d^-1*c)^2*a*c^-1*b^-1\
*c^-1*d^-1*c*a^-1*b*d*a^-1*b^-1*d^-1,
  d*a*d^-1*b*d*a*c*a^-1*b^-1*c^-1*b*d*b*c^-1*b^-1*a*d^-1*b^-1*d*c^-1*b^-1*a^-\
1*d^-1*b^-1*c*b^-1*(d^-1*a)^3,
  b^-1*a^-1*d*b^-1*a*b^-1*c^-1*a^-1*d^-1*c*d^-1*a^-1*d*c*b^-1*d*c^-1*a^-1*d*b\
^-1*c^-1*b*a^-1*c*d^-1*b^-1*d^-1*b*a*c*d^-1*a,
  d^-1*c^-1*a*c^-1*b*c*a*d*a*b*d*a*d^-1*a^-1*c*d^-1*b*c^-1*b^-1*c^-1*d^-1*a*d\
*c*a*b^-1*d*a*d^-1*c^-1*b^-1*a,
  c*d*a*d^-1*a^-1*d*b*a*b*c^-1*a^-1*d^-1*a*b*c*d^-1*b^-1*d^-1*a^-1*b*a*c^-1*b\
^-1*d*a^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d^-1*a,
  b^-1*d*a*d*c^-1*a*d^-1*c^-1*b*d*b^-1*d^-1*c*a^-1*d*a*(b^-1*c)^2*a*c^-1*d^-1\
*a^-1*d^-1*b^-1*a^-1*b^-1*c^-1*a*d*a,
  b^-1*d^-1*a*d*a*d^-1*a*b^-1*(d*a)^2*c^-1*d*b^-1*c*b^-1*a*c*d^-1*b^-1*a^-1*d\
*c*a*d*a*b^-1*c*a^-1*d*a^-1,
  b^-1*a*d*b*d^-1*c^-1*b*a^-1*d*a*b*c*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*d^-1\
*a^-1*b*a*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1*c*a^-1*d*a^-1,
  (c^-1*b^-1)^2*a*d^-1*a^-1*c^-1*b^-1*a*c*d*a^-1*d^-1*a^-1*b^-1*a^-1*d*b^-1*d\
*c*b^-1*a^-1*d*c*b^-1*c^-1*a*d*a^-1*b^-1*a*d,
  d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*b*d^-1*b*a*d*a*d^-1*c\
^-1*b^-1*c^-1*a^-1*c^-1*d*a*d^-1*b^-1*c^-1*b^-1*a^-1*d*a,
  c^-1*d*c*a*b*c^-1*(d^-1*a^-1)^2*d^-1*a*b*d^-1*b*c^-1*a*d^-1*a*d*b*c*b^-1*d^\
-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b^-1*a,
  b*c*d^-1*b^-1*c^-1*b*c*a*c*d^-1*b^-1*c*b^-1*d*c*a*d^-1*a^-1*b*a*d*a^-1*c*d^\
-1*a^-1*b*a*c^-1*b^-1*c^-1*a*c*d^-1,
  d*a^-1*d^-1*c*d^-1*b^-1*a^-1*c^-1*a*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b*\
c*a^-1*b^-1*a*d*a*b^-1*d*a*c^-1*d^-1*c^-1*a^-1*b*a^-1,
  b*c*b^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*c^-1*b^-1*c^-1*a^-1*d^-1*a*d*c^-1*d^-1*c\
^-1*a*b^-1*c^-1*a^-1*d^-1*a*c^-1*b^-1*c^-1*d^-1*a^-1*d*a,
  d^-1*a^-1*(d*c^-1)^2*a*c^-1*b^-1*d*a*b*c^-1*d*b^-1*d^-1*a*b*(d^-1*a)^2*b*a*\
c^-1*a*d^-1*b*d^-1*a*c*b^-1*a,
  d*b*a*d*a*b^-1*c^-1*d^-1*c*a*b^-1*c^-1*d*b^-1*a*d^-1*c^-1*b*d*a*b^-1*c*d*b^\
-1*c^-1*a*c^-1*d^-1*b^-1*a*b^-1*c*a^-1,
  a*d*a*c^-1*a^-1*b*d^-1*a*b^-1*c*b*c*a*d^-1*b^-1*a^-1*c*d*a*b*c*d*b^-1*d^-1*\
a*c^-1*b^-1*c^-1*a*d^-1*b^-1*a^-1*c^-1,
  c^-1*a^-1*b*c^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d*b*a^-1*b^-1*d*a*c*b*a^-1*d^-1*a\
^-1*c*d^-1*b^-1*a^-1*c^-1*d^-1*a^-1*c^-1*b^-1*c^-1*a^-1*b^-1*d,
  c*d*a^-1*b*a*d*b*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*b*c*d*a*c*b^-1*d^-1*b^-1*a^\
-1*c*a*b*d^-1*b^-1*c^-1*d^-1*c^-1*a^-1,
  c*b*a*b*d^-1*a*b^-1*d*a*c^-1*d^-1*c^-1*b*d*c^-1*a*b^-1*d^-1*a^-1*d*a*d^-1*b\
*c^-1*a^-1*b^-1*a*c^-1*b^-1*a^-1*d^-1*c*b^-1,
  d^-1*b^-1*c^-1*d*a^-1*b^-1*c*b^-1*d*c^-1*b^-1*d^-1*b^-1*c^-1*d^-1*a^-1*(d^-\
1*a^-1*c^-1)^2*d^-1*b^-1*c*b^-1*c^-1*d^-1*a^-1*c^-1*a*d^-1*b^-1,
  b*c*a*c*d*a*b*c^-1*d^-1*b*d^-1*a*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*b^-1*c^-1*d^\
-1*c^-1*a*d^-1*c^-1*a^-1*b*d^-1*b^-1*c*d^-1*a*d,
  d^-1*a*b^-1*a*c^-1*d*a^-1*d*a*b^-1*c*d*c^-1*d*a^-1*b*a*c^-1*b*d*b^-1*a*c*a*\
b^-1*a^-1*d^-1*b^-1*c*a*c^-1*b^-1*a^-1,
  (d*a^-1)^2*d^-1*b*c*b^-1*a^-1*d^-1*a*b*d*a*c*d*b^-1*d*c*a^-1*b*d^-1*b^-1*d^\
-1*a*b^-1*(a*d)^2*a*d^-1*a^-1,
  a*d^-1*c*b*c*a^-1*b^-1*d^-1*a^-1*d*b^-1*a^-1*c^-1*a*d^-1*a*c*d*a*b^-1*c^-1*\
d*b*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1,
  d^-1*a*c*b^-1*c^-1*d*a*b^-1*c*d*b^-1*d^-1*a*b*c^-1*a*d*a^-1*b*c*b^-1*c*a^-1\
*d^-1*c^-1*a*c^-1*d*c*d^-1*c^-1*a*c^-1,
  d*a*c*d*a^-1*c*(a*d)^3*b*a*b*c^-1*d*a*b^-1*c*d^-1*b*d^-1*a*b*d*a^-1*b*a*d^-\
1*c*a*b,
  a*c*a^-1*d*c^-1*d*b*a*d^-1*a*b^-1*a^-1*d*a^-1*c^-1*d*a*b*d^-1*a*d^-1*a^-1*b\
*d^-1*a^-1*d*a*b*c^-1*a*c^-1*b^-1*d^-1,
  c*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d*c*a^-1*c*b^-1*d^-1*a^-1*b*c*b*c^-1*a*d^-1*\
c^-1*d^-1*c*a^-1*b*c^-1*b^-1*d^-1*a*d^-1*b*c^-1*a,
  d*b^-1*d*a^-1*c^-1*b^-1*c*a^-1*d^-1*a^-1*d*b^-1*c*a*b*d*b^-1*a*d^-1*b^-1*c^\
-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d*c^-1*a^-1*b^-1*c*b^-1,
  b*a^-1*c^-1*d^-1*b*d^-1*a^-1*(c^-1*d^-1*a)^2*c^-1*b^-1*d^-1*c^-1*d^-1*b*a^-\
1*c^-1*b^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*d*c^-1*a*d^-1*c*a,
  d^-1*a^-1*c^-1*a*d^-1*a*b^-1*d*a*b^-1*(a^-1*d)^2*b*a*c*b*d^-1*a*b*c^-1*d*b^\
-1*d*a*b^-1*d^-1*a^-1*c^-1*b*c^-1*b^-1*a,
  d*a^-1*c^-1*b*d*a*d*b*d*b^-1*a*c^-1*a^-1*d^-1*a*b^-1*d*a^-1*d*a*b^-1*c^-1*b\
*a^-1*d*a*b*c^-1*(d^-1*b^-1)^2*a*c,
  b*d*a*c*a^-1*d^-1*c*d*a*b^-1*c^-1*a*c^-1*b^-1*c*d^-1*a^-1*d^-1*c^-1*b^-1*c^\
-1*a*b*a*d*a^-1*c^-1*d^-1*c^-1*b^-1*d^-1*b^-1*c^-1*a^-1,
  a*d^-1*a^-1*d^-1*a*c*d*a*b^-1*d^-1*b*c*d*c*a*b^-1*c^-1*b^-1*a*d^-1*c^-1*b^-\
1*c^-1*b*d^-1*c^-1*a*d*c^-1*b*d^-1*a^-1*b*c^-1,
  d^-1*c^-1*a*d^-1*b*c^-1*b*d*a*b*c*d*b*d^-1*a*b^-1*a^-1*d^-1*a*d*a*b*a^-1*d^\
-1*c^-1*a*d^-1*c^-1*b*d^-1*a^-1*d*a^-1*b,
  b*a^-1*c*a*b^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*a*b^-1*a^-1*d*a*b*c*(d\
*b^-1)^2*c^-1*b^-1*d^-1*a*b^-1*d*a*c*d*a,
  d*a*b*c*d^-1*b*a^-1*d*a^-1*b^-1*a*d*a^-1*b^-1*c*a^-1*d^-1*c^-1*a*c^-1*b*a^-\
1*d^-1*a*b^-1*d*a*c^-1*d^-1*c^-1*a^-1*d^-1*a^-1*c,
  c*d*b*d^-1*c*d^-1*b^-1*a*b*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1\
*d*a*c*b*c*a^-1*b^-1*d*a^-1*d^-1*b^-1*c^-1*a*d^-1,
  c^-1*a*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*b*a^-1*d^-1*b*a^-1*c^-1*b*d^-1*c*b\
^-1*a^-1*d^-1*c^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*b*a^-1*d^-1*a,
  a^-1*b*d*b^-1*d*a*c^-1*d^-1*a^-1*b^-1*c^-1*d^-1*b^-1*d^-1*c*b*c^-1*a*d^-1*c\
^-1*b^-1*d^-1*c*a^-1*c*b^-1*a*d^-1*b^-1*d^-1*c*a*d^-1*c,
  a^-1*d*a^-1*c*b^-1*c*a^-1*d^-1*b^-1*d^-1*c*b*a^-1*d*b^-1*c^-1*b*d*a^-1*d*c*\
a^-1*c*(d^-1*c^-1)^2*a^-1*d*a^-1*b^-1*c^-1*a*b,
  d^-1*a^-1*b*a*d^-1*b*d*a*c^-1*d^-1*a^-1*c^-1*b*a^-1*d*c*b^-1*(a*d^-1)^2*a*c\
*b*c^-1*d^-1*a*b*c*d^-1*b^-1*d^-1*a*b,
  b^-1*d*a*b^-1*c*d*b^-1*d*a*(d^-1*a^-1)^2*b*c^-1*a^-1*d^-1*a*b*c*d^-1*b^-1*d\
^-1*a*b^-1*d^-1*b^-1*a^-1*d^-1*a^-1*c*a*d*c,
  d*b^-1*c^-1*(b^-1*a^-1*d^-1)^2*b*d^-1*c^-1*b*a^-1*d^-1*a*b^-1*a^-1*c*a*b^-1\
*d*a*d^-1*c*b*c^-1*b^-1*d^-1*a*d*a*d^-1*a,
  c*b*a^-1*d*b^-1*a^-1*d*a*c*a^-1*d*a^-1*d^-1*(c*a^-1*d)^2*b*a^-1*d*a^-1*d^-1\
*b*c^-1*b*a*c^-1*d*c^-1*a^-1*c*d,
  (d*a^-1)^2*b*c^-1*b*a^-1*d*b*c*d^-1*a*b^-1*c*a^-1*d^-1*c^-1*d*c^-1*a*d^-1*c\
^-1*a*c^-1*b^-1*d^-1*c*a^-1*b^-1*d^-1*c^-1*b*a*c^-1,
  a^-1*d^-1*a^-1*b*d*b*c^-1*b*a^-1*d^-1*a*b^-1*d^-1*a*c*d*a^-1*b^-1*a*c*b*a^-\
1*d*a^-1*d^-1*b^-1*c*b^-1*a^-1*b^-1*d^-1*a*d^-1*c*d^-1,
  d*a*b*c^-1*d^-1*b*d*a*c*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*b^-1*c*a^-1*d*b^-1*d^\
-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1*d^-1*b^-1*c*a^-1*b^-1,
  d^-1*a^-1*c^-1*a*d^-1*c^-1*b*a^-1*d^-1*a*b^-1*d*a*c*d*a*b*a^-1*c*b*d^-1*a*d\
^-1*a^-1*c*a*d*b^-1*d^-1*c*b*a^-1*d^-1*b^-1*c,
  a^-1*d*c^-1*b^-1*c*a^-1*d^-1*a*b*d^-1*a*c^-1*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1*\
c^-1*b*a^-1*d^-1*c^-1*b^-1*a*c^-1*d^-1*c^-1*a^-1*d*b^-1*a*d^-1*c^-1*b^-1,
  (b^-1*d^-1)^2*b^-1*a*d^-1*b*c*b*d^-1*a*d*a*b*d*a*c*(d^-1*b^-1)^2*c^-1*b^-1*\
a^-1*d*a^-1*c^-1*b^-1*d^-1*a*d^-1*b^-1*c*a^-1,
  d*c^-1*b*a^-1*d^-1*b^-1*d*a^-1*d^-1*a^-1*(c*b)^2*a*d^-1*c*b^-1*a*b^-1*c^-1*\
b*d*a*b^-1*c^-1*d^-1*b^-1*c*b^-1*a^-1*b^-1*d^-1*a*c^-1,
  a^-1*d^-1*a^-1*b^-1*d^-1*a*b^-1*c^-1*b*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*c*\
a*c*d*a^-1*b^-1*c^-1*a*d*a^-1*c^-1*a^-1*b^-1*a^-1*d^-1*b*a^-1*d,
  a*b*c^-1*b*c*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*b*d^-1*c^-1*b*a^-1*c^-1\
*a*d^-1*b^-1*a*d*a*b^-1*c^-1*b*d^-1*c*a^-1*b*d^-1*b^-1,
  b^-1*d^-1*b^-1*a*d*c*a^-1*b^-1*d^-1*b*d*c^-1*b*(d^-1*a^-1)^2*b*c*a^-1*c*(b*\
d^-1)^2*a*b*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d,
  c*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*c*b^-1*c*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*d\
^-1*b^-1*a^-1*c^-1*b^-1*(d*a)^2*d^-1*a^-1*d^-1*b^-1*a^-1*c^-1*b^-1,
  d*a^-1*c*b^-1*c*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*a*b*a*c^-1*a^-1*d*c*b^-1*c^-\
1*d*a*b*c^-1*d*b^-1*d^-1*b^-1*c^-1*d^-1*a*c*a,
  d*a^-1*c^-1*d^-1*b^-1*a*(b*d^-1)^2*b^-1*c^-1*d*a^-1*c^-1*(d^-1*a^-1*b)^2*a*\
b^-1*c^-1*d^-1*c*b^-1*a^-1*d^-1*a^-1*b^-1*d^-1*a^-1*b*a^-1,
  b^-1*d^-1*b^-1*a^-1*c*a^-1*d*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*a*c*b*\
d^-1*a*c*d*c*b*d^-1*b^-1*a^-1*c^-1*a*b^-1*d^-1*b^-1*c^-1*a^-1*d^-1,
  b*c*d^-1*a*d*a^-1*b^-1*d^-1*(c^-1*b^-1)^2*a^-1*d^-1*a^-1*c*a*d*a^-1*c*b^-1*\
c*d^-1*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1*a^-1*c^-1,
  a*d*c*a*b*c*d^-1*a*b^-1*d*b*c^-1*d^-1*c^-1*a*d*a^-1*b^-1*a*d^-1*c^-1*a^-1*b\
^-1*d*c^-1*a*d^-1*b*a*c*a^-1*b*c^-1*d^-1*b^-1,
  c*d^-1*a^-1*c^-1*b*c^-1*d^-1*a*b^-1*c^-1*(d^-1*b)^2*a*c^-1*b^-1*a^-1*d*c*a*\
b^-1*c^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c*a^-1*b*a,
  d^-1*b^-1*d^-1*a^-1*c*b^-1*c^-1*d*a*c^-1*b^-1*a^-1*d*a^-1*c*d*c^-1*a^-1*c^-\
1*b^-1*a^-1*d^-1*b*d*c^-1*b^-1*a^-1*d*b^-1*a^-1*c^-1*a*d^-1*c*a^-1*b,
  c^-1*d*b*a^-1*b^-1*d*b*a*d^-1*a^-1*c^-1*a*b*(a^-1*d)^2*b*c^-1*a^-1*b^-1*a^-\
1*d*a*b*c^-1*d^-1*a^-1*b*a^-1*d^-1*a*c^-1*d*c^-1*a^-1,
  a*b^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*d^-1*b*c*b^-1*d^-1*c*a^-1*b^-1*c^-1*a\
*d^-1*c^-1*b*c*b*d^-1*c^-1*a*d^-1*c^-1*b^-1*(d*a)^2*d^-1,
  d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*a^-1*d*c^-1*a^-1*c*d^-1*b*d*a*b*c*d^-1*b*d^\
-1*c^-1*b^-1*c*(b^-1*d^-1)^2*c^-1*b*a^-1*d*c^-1*b^-1*a*c,
  d^-1*(a*b*a^-1*c)^2*d*b*a^-1*b^-1*d^-1*b*a*c^-1*d*c^-1*b^-1*c^-1*a^-1*d^-1*\
c^-1*b^-1*c*a*d*a*b*c*b^-1*a*d^-1*b^-1*a,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*a*b^-1*d^-1*c^-1*b^-1*a^\
-1*d^-1*b^-1*a^-1*c*a^-1*b^-1*a*d*a^-1*c*b^-1*a*c*a^-1*d^-1*b^-1*a*d^-1,
  d^-1*a*c*d*a*c^-1*b*a^-1*d*b*a^-1*b^-1*d*(b^-1*c^-1)^2*d^-1*c*a*d^-1*c^-1*b\
^-1*d^-1*b^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*a*c^-1*a^-1,
  d^-1*c*d^-1*b*(d*a^-1)^2*d^-1*b^-1*c*a*b^-1*a*d^-1*a^-1*b^-1*d^-1*c^-1*b*a^\
-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a^-1*d^-1*a*c*b^-1*c^-1,
  d^-1*a^-1*b*c*d^-1*c^-1*a^-1*d*b*a*c*d*b^-1*c^-1*a*d^-1*b^-1*c^-1*b^-1*a^-1\
*d^-1*a^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*c^-1*a*d*c^-1*d^-1*a^-1*d^-1*c^-1,
  d*b*a*c*d*b^-1*a*b*(d^-1*b^-1)^2*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*d^-1*a^-1*b\
^-1*a^-1*c^-1*d*c^-1*a*d*c*a^-1*b^-1*d^-1*a*d*c^-1,
  d*a^-1*d*b^-1*a*c*b^-1*a^-1*d*b*d*c*b^-1*a^-1*d*a*c^-1*a^-1*b^-1*a^-1*c^-1*\
d*a*d^-1*b^-1*d^-1*a*b*c*d*b*d^-1*a*b^-1*c^-1*a^-1,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c*b^-1*d^-1*a^-1*c*a*b^-1*a*c*d\
*a*b^-1*d^-1*a*c^-1*d*(a*d^-1)^3*b^-1*a^-1*d*a,
  a^-1*c*d^-1*a^-1*c^-1*b*d^-1*c^-1*a^-1*d*c*a^-1*b^-1*(c^-1*d^-1*a)^2*c^-1*b\
*d^-1*b^-1*a*c*b^-1*a^-1*d^-1*a*b^-1*d*b*d^-1*a^-1*d^-1*c,
  b*c^-1*d*c^-1*a^-1*b^-1*d^-1*b^-1*d*a*b*a^-1*c*a*d^-1*a^-1*b*a*c^-1*d^-1*a^\
-1*c^-1*b^-1*a*c*d^-1*a^-1*d*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1,
  d^-1*a*c^-1*d^-1*a*b*d^-1*c*a^-1*d^-1*a*c^-1*d^-1*a^-1*c^-1*b^-1*c*a^-1*b^-\
1*d^-1*b^-1*c*(d^-1*b^-1)^2*c^-1*b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*b^-1,
  c*d^-1*a*d*c^-1*a^-1*(b*c^-1)^2*a*d*b*a*c*d^-1*c^-1*b^-1*c*d*c^-1*a^-1*d^-1\
*b^-1*c*b^-1*a^-1*d^-1*b*a*c^-1*b^-1*c^-1*a*d*a^-1,
  (a*d)^2*a^-1*b^-1*a*c^-1*(a^-1*d^-1)^2*b*d^-1*b*(a*d^-1)^2*b^-1*a*(b^-1*c^-\
1)^2*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*c^-1*a^-1*b^-1,
  b*a^-1*d^-1*a*b*d^-1*a*c*a^-1*d^-1*a*b*a^-1*d*c*b^-1*d*c*a*b^-1*d*c^-1*d^-1\
*c*b*d^-1*b^-1*d^-1*a*b*a^-1*d^-1*a*d*a*c,
  d^-1*b^-1*d*c*b^-1*a^-1*d*b^-1*a*d^-1*a*b^-1*d^-1*a*c^-1*d*a*c^-1*d^-1*a*b*\
c^-1*d^-1*b^-1*d^-1*a^-1*b^-1*c*b^-1*d*(a^-1*d^-1)^2*b^-1*a,
  (d*a^-1)^2*b*d*b*c^-1*a*c^-1*b*a^-1*d^-1*a*c^-1*b*a^-1*c*d^-1*a*b*d^-1*a^-1\
*c^-1*a*b*a^-1*c*d^-1*a^-1*b^-1*a*d^-1*b^-1*d^-1*a,
  b^-1*a^-1*d^-1*b^-1*d*c*a^-1*b*d^-1*a*d*c*b^-1*d*c^-1*a^-1*d*b*a^-1*d^-1*b*\
a^-1*c^-1*b^-1*c^-1*d^-1*a*b^-1*d*a*c*d^-1*a*c^-1*d*a,
  d^-1*a*c^-1*d^-1*b*a^-1*b*c^-1*b*c*d^-1*a^-1*(c^-1*b)^2*a*d^-1*c^-1*d^-1*b^\
-1*d^-1*a*c^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*a,
  a*b*a^-1*d^-1*a^-1*b*a*d*c^-1*b*d*a*d^-1*b^-1*a^-1*d*a^-1*c^-1*b^-1*a^-1*d^\
-1*b^-1*c^-1*a*d*c*a*d*a*b^-1*c*a^-1*d^-1*a^-1*b*c^-1,
  a*d*a*c^-1*d^-1*a^-1*b^-1*d*a*d^-1*a^-1*b*d^-1*a*c^-1*d^-1*(b^-1*c^-1)^2*d^\
-1*a*b*c^-1*d^-1*b*d*a*b*d^-1*b*c*b*c^-1*a^-1*d^-1,
  c*a*b^-1*(a^-1*d^-1)^2*a^-1*d*b*d^-1*b*a*d^-1*b^-1*a*c*a^-1*d^-1*b*a*c*b*a^\
-1*d*a*b^-1*d*a*c*d^-1*a^-1*d^-1*a*b*a^-1,
  c*a^-1*d^-1*a*d^-1*a^-1*b^-1*d^-1*b*a*c^-1*d^-1*a^-1*c*d^-1*c^-1*b^-1*d^-1*\
b^-1*a*d*c*a^-1*c*b*c^-1*a^-1*b^-1*d*b^-1*c*d^-1*b^-1*d^-1*c^-1*b^-1*a,
  b^-1*c^-1*a*d^-1*a^-1*b*a^-1*d^-1*a*c^-1*d^-1*a^-1*b^-1*c^-1*a*b*d*a^-1*c*a\
*d*a^-1*c^-1*b*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*b^-1*d^-1*b^-1*a*c,
  (d^-1*a)^2*d*a^-1*c^-1*(d^-1*c^-1*a^-1)^2*d*a^-1*c*b*d*c^-1*(a^-1*d^-1)^2*a\
*b*c^-1*d^-1*b*d^-1*b^-1*a^-1*c^-1*b*a*d^-1*c^-1*b^-1,
  a^-1*c*d*b^-1*d*a*d^-1*a^-1*b^-1*c^-1*b^-1*a*d*a^-1*c*a*d*a^-1*b^-1*c*a^-1*\
d*a*b^-1*d^-1*a*c^-1*d^-1*b*a*c*b^-1*d^-1*a*b*c^-1*d,
  b^-1*a^-1*c*a^-1*b*d*a*b^-1*c^-1*d*b*d^-1*a*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*b\
*d^-1*a*d*b*c^-1*b^-1*a*c*a^-1*d^-1*a*d*c*a^-1*b^-1*a*c^-1,
  b*a^-1*b*d*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*d^-1*c*b*a^-1*d*a^-1*c^-1*d^-1*c*\
a*d*a^-1*b^-1*c^-1*d^-1*b^-1*c*b^-1*d*a*b^-1*c*d^-1*b^-1*d,
  d^-1*a^-1*(c^-1*b)^2*a*d^-1*b^-1*c^-1*d*a^-1*(c^-1*b)^2*a*d^-1*c*b*a^-1*b^-\
1*d*a^-1*d^-1*a^-1*d*a^-1*b*c^-1*b^-1*d^-1*a^-1*d^-1*a*c*a^-1,
  d^-1*a^-1*b^-1*c^-1*b*a*d^-1*(b^-1*c^-1)^2*d*c*a*d^-1*c*b^-1*d*c^-1*d^-1*b^\
-1*c^-1*b*a^-1*c^-1*d^-1*a^-1*b^-1*c*d*a*b^-1*c*d*b^-1*d*a,
  c*b*d*a*b*c^-1*d*b^-1*d^-1*a*b*a^-1*d^-1*a^-1*b*a^-1*d*a*c*a^-1*b^-1*d^-1*b\
^-1*c^-1*b*a^-1*d*b^-1*c^-1*d^-1*a*c*b^-1*c^-1*d^-1*c^-1*a^-1,
  a*b^-1*c^-1*(d*b^-1)^2*c*b^-1*a*c^-1*(d*a^-1)^3*b^-1*a^-1*d*b^-1*d*c*b*a^-1\
*d*c*b^-1*c^-1*a*d*b^-1*c^-1*b^-1*d^-1*a^-1*d,
  (d*a)^2*d^-1*b^-1*c*a*c*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c*b*a^-1*c^-1*a^-1*d*a\
^-1*d^-1*b^-1*c^-1*a*d*a*b*a^-1*c^-1*b^-1*d^-1*a*d*c^-1,
  d*c*b*c*d^-1*c^-1*a*c^-1*b^-1*a^-1*d^-1*a*b*c*a*(d^-1*a^-1)^2*b^-1*c^-1*b^-\
1*a^-1*c*a*d*a^-1*d^-1*c*b^-1*a*d^-1*a^-1*c^-1*a^-1*b^-1*c^-1,
  a*d*a*d^-1*a*b*a*d^-1*a^-1*c*(a^-1*d^-1)^2*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*\
b^-1*a*c^-1*a^-1*d^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c,
  d^-1*a*d*c*b*c*a*b^-1*d*a*b^-1*a^-1*c^-1*a*b*d*a^-1*d*b*c*d^-1*a*d^-1*b^-1*\
a^-1*c^-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a^-1*c^-1*b^-1*a,
  b^-1*a*d*a^-1*c*a^-1*b^-1*c*a*d*a^-1*b*c*b*c^-1*d*a*b^-1*a^-1*c*b^-1*d*a*b^\
-1*c*d^-1*b^-1*a^-1*d^-1*a*c^-1*a*b^-1*a^-1*d^-1*a^-1*d,
  b^-1*c*a^-1*c*d*a*b^-1*c*(d*b^-1)^2*a*c^-1*d^-1*c*d^-1*c^-1*a*b^-1*d^-1*c^-\
1*a*d^-1*a*b^-1*c*a^-1*d*a*c*d^-1*c^-1*d^-1*a^-1*c*a,
  c^-1*b^-1*d*a^-1*d*c*d*a^-1*c*d*c^-1*b^-1*d^-1*b*a*c*d^-1*b^-1*d*c^-1*b^-1*\
a^-1*d^-1*c^-1*b*a*d^-1*c^-1*a^-1*c^-1*b^-1*a*d^-1*a*d*c^-1*b^-1,
  a^-1*b^-1*c^-1*d*a*d^-1*a^-1*b^-1*d*a*c^-1*a^-1*b^-1*a^-1*c^-1*a*d^-1*a^-1*\
c*a*d*b*a*c*b^-1*d*a*d*b^-1*d^-1*c^-1*a*c^-1*d*b^-1*c*d^-1,
  c^-1*d^-1*b*c*d^-1*c^-1*d^-1*a*b^-1*c*d^-1*a*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*a\
^-1*d*a*c*a^-1*d*a*c^-1*d^-1*c^-1*a^-1*d^-1*c^-1*b*a*c^-1*d^-1*a,
  c*a^-1*d^-1*b*a^-1*c*a^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d*a^-1*b*a*c^-1*d^-1*a*b\
^-1*c*d^-1*a*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b*a^-1*d,
  d^-1*b^-1*c*d^-1*c*a^-1*b*d^-1*a*c^-1*d^-1*b*a*c*d^-1*a*b^-1*d^-1*a*c*d^-1*\
c*a^-1*d*c*b^-1*c^-1*a^-1*b*d^-1*c*d^-1*a^-1*b*a*c^-1*a,
  d*a*b*c^-1*d^-1*b*d^-1*c*a*b*a*c^-1*d*a*c^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-\
1*a*b^-1*c^-1*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*a^-1*b^-1*c^-1*a^-1*c^-1*b^-1,
  d^-1*a*b^-1*c*d*b^-1*a^-1*c^-1*b*c^-1*a^-1*b*d^-1*a^-1*d^-1*b*c^-1*a*b*(d^-\
1*a^-1)^2*d^-1*c*a*b*c^-1*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*a*d*a,
  a^-1*b*d*b^-1*d^-1*c^-1*a^-1*b*d^-1*a^-1*c*b*c*a^-1*d^-1*a*c^-1*a*b^-1*c*a^\
-1*d*b^-1*a*b^-1*c^-1*a^-1*d^-1*c*d^-1*a^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b,
  b*d^-1*a^-1*c^-1*b^-1*d*a*d*b*a*c^-1*b^-1*c*a*d*b^-1*c*b^-1*d^-1*a*d*b^-1*c\
^-1*a*b*a^-1*d*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*(c^-1*b^-1)^2*a,
  b^-1*c*b^-1*a*d^-1*a^-1*c*b*c*d*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*a^-1*b^-1*d^-1\
*b^-1*a*d^-1*b^-1*a^-1*b^-1*d*b^-1*a*b^-1*d^-1*c^-1*d*c^-1*a*d^-1*c*a^-1,
  c^-1*b*a^-1*d^-1*a^-1*b^-1*d*b^-1*a*b^-1*c^-1*d*a^-1*d*b*c^-1*b^-1*a*c*a^-1\
*d*b*d*c*d^-1*a^-1*b*a*c^-1*d*a*b*c*d*c*a^-1*b*d^-1,
  a*d*a^-1*c^-1*b^-1*a*d^-1*c^-1*b*c^-1*b^-1*d*a^-1*d^-1*a*d^-1*a^-1*b^-1*c*b\
^-1*a*d*a^-1*c^-1*b^-1*d*b^-1*c*a^-1*b^-1*d^-1*b^-1*a*d^-1*a*c^-1*d*c^-1,
  d*a*c*d*a^-1*b^-1*a*c*b*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*c^-1*\
d^-1*c*a^-1*d^-1*a*d^-1*c*a*c^-1*d^-1*c^-1*a*d*c^-1*a*b*c,
  a^-1*c^-1*b*a*d*b*d*a^-1*c^-1*d*a^-1*d*a*b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-\
1*b*c^-1*(a^-1*d)^2*c^-1*a^-1*c*d*a*d^-1*c^-1*b^-1*c*d,
  d*b^-1*c^-1*a^-1*d*c^-1*a*d*c*(b^-1*d^-1)^2*a^-1*b*a^-1*c^-1*b*d^-1*a*b^-1*\
c*d^-1*b^-1*d^-1*a^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b*d*a*b^-1*a^-1,
  a*d^-1*a^-1*c^-1*d*b*c*b*c^-1*d*a*c*a^-1*d*b*c*a^-1*c*d^-1*b^-1*c*b*c*d^-1*\
b^-1*a^-1*(c^-1*b^-1*d^-1)^2*c^-1*a^-1*d^-1*a*d^-1*b^-1,
  a^-1*d*a^-1*d^-1*c^-1*b*a^-1*b^-1*d^-1*a^-1*(c^-1*b^-1)^2*a*d^-1*b*c^-1*a^-\
1*d^-1*a^-1*b^-1*a*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*(b*\
d^-1)^2,
  c*a*d^-1*a*b*c^-1*b*a*d^-1*b*d^-1*b^-1*c^-1*a^-1*d^-1*b^-1*a^-1*b^-1*c*b*d*\
a*(d*a^-1)^2*b^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a*b,
  d*a*b^-1*c^-1*d*b*d*b^-1*a*c^-1*b*a^-1*d*a*b^-1*c^-1*d^-1*b^-1*a^-1*d*a^-1*\
b^-1*a*d*a*c^-1*a^-1*d*b^-1*a^-1*d^-1*a*b^-1*a*c*a^-1*c*b,
  (d^-1*a^-1)^2*d^-1*b^-1*c^-1*b*c^-1*d*a^-1*d^-1*b*(c^-1*a^-1*d^-1)^2*b^-1*a\
^-1*d^-1*b*c^-1*a*b*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c*b^-1*a^-1*c^-1,
  d*c^-1*a^-1*b*d*b*c^-1*d^-1*a*b*c^-1*b*d*a*c^-1*d^-1*c*b^-1*a^-1*c*d*a^-1*c\
^-1*b^-1*d^-1*a*b^-1*c^-1*a*c^-1*b^-1*a*d*b*a^-1*c*b^-1*a,
  d*c*b^-1*c*a*d^-1*b^-1*(d*a^-1)^2*c^-1*a*b^-1*a*d^-1*b^-1*a*c*b^-1*a^-1*d^-\
1*a*b*d^-1*a*c^-1*d^-1*(a*d*c^-1*b^-1)^2*c*a,
  d^-1*b*d^-1*a*b*c^-1*d^-1*b*d^-1*a^-1*c^-1*d*a^-1*c^-1*d^-1*c*b*d^-1*b*a*c*\
a^-1*d^-1*c*b^-1*c*b*d^-1*c^-1*a*d*c^-1*b^-1*a^-1*c^-1*a*d^-1*a^-1,
  d^-1*c^-1*a*b*a*c*d*a*c^-1*d*a^-1*b^-1*a^-1*d^-1*a*b^-1*c*d*b^-1*d*b*c^-1*b\
^-1*a*b^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*a^-1*b^-1*d^-1*c^-1*a^-1,
  d^-1*b*d^-1*c^-1*b*c^-1*a*d*a^-1*c*b*c*d*b*d^-1*a^-1*c*a^-1*b^-1*d^-1*c^-1*\
(b^-1*d^-1)^2*a*b^-1*a*d*a^-1*(d^-1*b^-1)^2*c*a^-1*d^-1*a,
  d^-1*c*b*a*c^-1*d*a^-1*d^-1*b^-1*c^-1*a*b^-1*d^-1*b^-1*c^-1*a^-1*b*d^-1*c^-\
1*b*c^-1*a*d^-1*b^-1*a*c^-1*d*b^-1*d^-1*b^-1*a^-1*d^-1*a*d^-1*b*c*a*b,
  c*d^-1*c^-1*a*b^-1*c*d^-1*(a^-1*d)^2*a*b*d*b*d^-1*c^-1*b*a^-1*b^-1*d*a*b^-1\
*a^-1*d*a*b*a^-1*d*b*d^-1*b^-1*a*c^-1*d^-1*a^-1*d^-1*b^-1,
  a*d*c*b*c*a^-1*b*d^-1*c^-1*d^-1*a*d*c^-1*b*c^-1*d^-1*a*d*b*d^-1*b^-1*a*b^-1\
*d*b*d^-1*c^-1*b^-1*a^-1*d*c^-1*a*d*a*c^-1*b*d^-1*c^-1,
  d*a^-1*b^-1*a*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*c*d*a*c*b*d*a*b^-1*c*d*a^-1*c^\
-1*d^-1*(c^-1*b)^2*d^-1*b^-1*a^-1*c^-1*d^-1*c^-1*b^-1*d*c^-1,
  b*d^-1*b^-1*c^-1*b*a*d*a^-1*b*d*a*c^-1*d*b^-1*c^-1*b^-1*a^-1*d*c^-1*a*d*a^-\
1*d*a*c*a^-1*b^-1*a*c^-1*a^-1*d*b^-1*d^-1*a*c^-1*b^-1*c^-1*a,
  d^-1*a*b*d^-1*a*c*d^-1*c^-1*a^-1*d*c^-1*a^-1*d^-1*b*a^-1*d^-1*b^-1*d^-1*a*c\
*d^-1*a^-1*c*d*b*a^-1*d*a*c^-1*a^-1*d^-1*b*a*d^-1*a^-1*c^-1*b^-1*a^-1*b^-1,
  d^-1*a^-1*b^-1*d*c*d*b*a^-1*b^-1*c*(a*d^-1*b^-1)^2*a*c*d*b*c*d*a*b^-1*c^-1*\
d^-1*b*d^-1*c^-1*b^-1*c^-1*d*a*d^-1*b*d^-1*a^-1*d^-1*c,
  c*d*a^-1*c*b^-1*d*a*d*c^-1*b*c^-1*b^-1*d*a*d^-1*a*d*a^-1*d^-1*c^-1*a*b^-1*c\
^-1*d^-1*c*a^-1*d*a*b^-1*a^-1*d*c*a^-1*(b*d^-1)^2*b*a,
  a^-1*b^-1*d^-1*a*c*b*c^-1*d*a*b^-1*c*d*b^-1*d^-1*b^-1*c^-1*a^-1*b*a*d^-1*a*\
d*a*d^-1*c^-1*a*c^-1*b*a^-1*d*a^-1*c^-1*d^-1*(b^-1*c^-1)^2*d*b^-1,
  d^-1*a^-1*d*a^-1*c*a*b^-1*c*d*b*c*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*d*a^-1*d\
^-1*(a^-1*d^-1*c)^2*a^-1*d*b^-1*a^-1*d*c*b^-1*c^-1*a*c^-1,
  b^-1*c*a*b^-1*d^-1*b^-1*a^-1*d*c*a^-1*b^-1*d^-1*b^-1*c*a*d^-1*b*d*c*b^-1*a^\
-1*d^-1*b*c*b*d^-1*c^-1*a*b^-1*c^-1*a^-1*d*a*c^-1*b^-1*c*a^-1*d*c^-1,
  d*b^-1*d*(a*d^-1)^2*b^-1*d*a*b^-1*c^-1*b*d^-1*a*b^-1*a^-1*c*d*b^-1*a^-1*b^-\
1*c^-1*d*a^-1*d^-1*a*d*a*d^-1*b^-1*c*b^-1*c^-1*d^-1*a*b*a^-1*c^-1,
  a*c^-1*b*d^-1*c*a*d^-1*a^-1*b*c^-1*d^-1*a*d*a^-1*b*d^-1*c*a*d^-1*a^-1*c*b^-\
1*c*a^-1*d*b*d^-1*b^-1*a*c^-1*d^-1*a*b^-1*a*c^-1*d^-1*b^-1*a^-1*d^-1,
  d*b*c^-1*a^-1*d*b*c*b^-1*d*a*b^-1*c^-1*d^-1*b*(d^-1*a*b^-1)^2*a^-1*d^-1*b^-\
1*d^-1*c^-1*b^-1*a^-1*d^-1*c*b^-1*d^-1*c^-1*a^-1*b*d^-1*a*c*d^-1*b,
  d^-1*c*b*a*c^-1*(d*a^-1)^2*d^-1*b*a*b*d*b^-1*d^-1*c^-1*b^-1*d^-1*b*a*c^-1*b\
^-1*d^-1*c*a^-1*c*b*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*b^-1*c,
  c*a^-1*d*b*c*a^-1*b*a*c^-1*b*d^-1*a*d*c*d*a*b^-1*c^-1*d*b^-1*d^-1*a*b*a^-1*\
d^-1*a^-1*b*c^-1*(d*a^-1)^2*b^-1*c^-1*d*c^-1*b^-1*d^-1*a,
  a*c*d^-1*a*c^-1*a*d^-1*a^-1*c^-1*b^-1*d*a*d*a^-1*b^-1*c^-1*d^-1*a*b*c^-1*d^\
-1*c^-1*a*d^-1*c^-1*a^-1*c^-1*b*a^-1*d*a^-1*c*d^-1*a^-1*b*a^-1*c^-1*b^-1*d,
  c^-1*d^-1*a*c^-1*a*b^-1*a*d^-1*a*c*a^-1*b^-1*(d*a^-1)^2*d*a*c^-1*d*b*a^-1*b\
*d*c^-1*a*b^-1*(d^-1*b^-1*a)^2*c*d^-1*c^-1*b^-1*c^-1*d^-1,
  d*a*b^-1*c*d*b^-1*d*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c*b^-1*d^-1*a\
^-1*b*d*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d*a*b*a^-1*d*a*c*b*a^-1,
  a^-1*d*c*b^-1*d*b^-1*a*b*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a^-1*d*c^-1*a^-1\
*c^-1*d^-1*a*b*d*a^-1*d^-1*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*c^-1*a*d,
  a^-1*d*b*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*c*a^-1*c*b^-1*d^-1*a*d^-1*b*a*c^-1*b^\
-1*c*a^-1*d*a*b^-1*d^-1*a*b^-1*c^-1*a^-1*b^-1*d*a^-1*d^-1*b^-1*c*a*d^-1,
  a*c^-1*d*a^-1*b^-1*d*c^-1*a^-1*d*b*a^-1*d*a*b*c^-1*a^-1*b^-1*d^-1*b*a*b*d^-\
1*b^-1*d^-1*c^-1*b^-1*c*a*d*c^-1*a^-1*d^-1*c^-1*b^-1*d^-1*a^-1*d*a^-1*b^-1,
  a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*a^-1*b^-1*d^-1*b*\
a*d^-1*b^-1*d*c^-1*a^-1*b*d^-1*a^-1*c^-1*b*c^-1*d^-1*b^-1*(d^-1*a)^2*d^-1*b^-\
1*c^-1,
  b*d^-1*a*b*c^-1*d^-1*b*d^-1*c*b*a^-1*d^-1*a*c*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1\
*d^-1*(b^-1*c^-1)^2*d^-1*a*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*(c^-1*b^-1)^2*d^-1*a\
^-1,
  b*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*c*b*c*d^-1*b^-1*d^-1*c*a^-1*b*d^-1*a^-1\
*c^-1*b^-1*c*d^-1*c*a^-1*d^-1*a*d*a^-1*d^-1*c^-1*d*a*c^-1*a*b^-1*a*d,
  b^-1*d*a*b*c^-1*d^-1*b*d^-1*a*b*c*a^-1*b*d^-1*b^-1*d*c^-1*a^-1*b*d^-1*c^-1*\
a*c^-1*b^-1*a^-1*d*b^-1*a*d*a*b^-1*c^-1*d^-1*b^-1*a*c*a^-1*d*a,
  d*c*a*b^-1*a^-1*d*b*c*b^-1*a^-1*d^-1*c*a*d^-1*c*b^-1*c^-1*b*d*c^-1*a*d^-1*c\
*a^-1*d*b^-1*d^-1*b^-1*a*c*d^-1*a^-1*b^-1*a^-1*d*c^-1*b*a*b^-1,
  a^-1*(d^-1*c*a)^3*b*d*b^-1*d*c*b^-1*a^-1*d*c*b*d*a*b^-1*c*d^-1*b^-1*d^-1*a*\
b^-1*d*a*c^-1*b^-1*d^-1*a*d^-1*b*a*c^-1,
  a^-1*d^-1*b*d*c^-1*b*a^-1*d^-1*b^-1*c^-1*b^-1*(d^-1*c)^2*d^-1*a^-1*c*a*b^-1\
*c^-1*d*c^-1*b^-1*a^-1*d*c^-1*b^-1*c^-1*d*a*b^-1*c*(d^-1*b^-1)^2*a*c^-1,
  b^-1*a^-1*(c*d^-1)^2*c^-1*b^-1*a^-1*d*a^-1*c*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-\
1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*a*c^-1*d*b^-1*a*d^-1*a^-1*d*b^-1*c*a*b*d,
  d^-1*c^-1*b^-1*c^-1*a*b^-1*d^-1*b^-1*a^-1*d^-1*b*a*d*b^-1*c^-1*a^-1*b^-1*a*\
c^-1*d^-1*b*d^-1*b^-1*a^-1*d*c^-1*a*d^-1*a^-1*b^-1*c^-1*d^-1*a*d*a^-1*b^-1*d^\
-1*b^-1*c,
  (b^-1*d^-1)^2*c^-1*(b*a^-1*d^-1)^2*a^-1*c*a*b^-1*d^-1*c^-1*a*c^-1*d^-1*a^-1\
*c^-1*d^-1*c^-1*b^-1*c^-1*b*d^-1*a^-1*b^-1*c*d^-1*c^-1*d^-1*a^-1*c^-1*a^-1*b^\
-1*c,
  c^-1*a^-1*c*b*d*a*b*c^-1*d^-1*b^-1*d*a^-1*b*a*c^-1*b*c^-1*a^-1*d*a*b^-1*d^-\
1*a*(c^-1*d^-1)^2*a^-1*c*b*c^-1*d^-1*c^-1*b^-1*c^-1*a*b*a^-1*d^-1,
  b^-1*d*c^-1*b*a^-1*d*b*a^-1*d^-1*c^-1*a^-1*d*b*a^-1*d*a*b*a^-1*d*c^-1*b^-1*\
a*d*a^-1*d^-1*a*c*(d*b^-1)^2*d*c^-1*b*a^-1*d*b^-1*c^-1*d^-1,
  c^-1*b^-1*a*d^-1*b*c*b^-1*c*d^-1*c^-1*a*d^-1*c^-1*d*c^-1*a*d^-1*c^-1*b^-1*d\
^-1*b^-1*c*a*b^-1*d*a*b^-1*d^-1*b^-1*d*a^-1*d*a*d^-1*b^-1*d^-1*c*a^-1*b,
  d^-1*b^-1*d^-1*b*a*c*d*c*a^-1*(d^-1*a*b^-1)^2*c*d*c*a^-1*b*d^-1*a^-1*b^-1*d\
^-1*b*c^-1*a^-1*c^-1*d^-1*c^-1*a^-1*d^-1*c^-1*b*a*c^-1*d^-1*a*b,
  d*a*b^-1*c*d*b^-1*a^-1*d*a^-1*b*d^-1*c^-1*b*d*b^-1*a^-1*c^-1*a*d*a^-1*c*b^-\
1*d*a^-1*d^-1*c*b*a^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1,
  d*b*d*b^-1*a*d^-1*c*d^-1*a^-1*b*a*d*a*d^-1*b^-1*c*d*a^-1*c^-1*b*c*b*d^-1*a^\
-1*b*a*d^-1*a*b^-1*c*b^-1*a^-1*d*a^-1*c*b^-1*c^-1*d^-1*b*a,
  b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*d*c^-1*b^-1*a^-1*c*d^-1*c^\
-1*b^-1*c*a*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*b^-1*c*d*a*b^-1*d^-1*a*\
b^-1*c*a^-1,
  d^-1*c^-1*a*d*c^-1*b^-1*d^-1*b*d^-1*c^-1*(b*c^-1*a*d^-1)^2*b*a*c^-1*d^-1*b^\
-1*d^-1*c^-1*b*a*b*c^-1*b^-1*d^-1*b*d*c^-1*b^-1*a^-1*d^-1*b*c^-1*b,
  d*a*c^-1*b*c*a*c^-1*d*a^-1*d*c^-1*a*b^-1*c*d*b*d*c*b^-1*a^-1*d*b^-1*c^-1*b^\
-1*d*a*d^-1*a*d*b*d*a*b*c^-1*d*b^-1*d^-1*b*a^-1*b^-1,
  c^-1*a*b^-1*a^-1*c*a*b*c*b^-1*a^-1*d^-1*a*b^-1*d*a*c*d^-1*b^-1*a^-1*b^-1*c^\
-1*b^-1*d^-1*a*d*b^-1*d*a*c^-1*b^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1*b^-1*d*b*a,
  d^-1*b*d^-1*c^-1*b*a^-1*d*a*b*d*b*a*c*d^-1*a*b^-1*a^-1*d*a^-1*b^-1*a*d^-1*a\
*(b^-1*c)^2*d^-1*c^-1*a^-1*b*c*d^-1*b*d*a*c^-1*b^-1*a^-1*c^-1,
  b*a^-1*d^-1*b^-1*a^-1*d^-1*a^-1*c^-1*b^-1*a*c^-1*a*d*b^-1*d^-1*b^-1*d*c*b^-\
1*a^-1*d^-1*b^-1*c^-1*d*c*b^-1*a*b*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^\
-1*c^-1*b^-1*a,
  d*b^-1*a*(c^-1*b^-1)^2*a^-1*d*a*b*d*a*c*(d*c^-1*a^-1)^2*d*b^-1*a^-1*d^-1*a*\
c^-1*b^-1*c*a^-1*d*b*d^-1*c^-1*b*a^-1*d*a^-1*b^-1*c^-1*b^-1,
  d^-1*a*d^-1*a^-1*d*b*c*a*d*a*c*a^-1*b*d*(c*b)^2*d^-1*c*a*d^-1*c^-1*a^-1*c*b\
^-1*a^-1*d*a*b^-1*d*a*c^-1*d*c*a^-1*b^-1*c^-1*a*b^-1,
  d*b^-1*c*a*b*a^-1*d*c^-1*a^-1*d*b^-1*a^-1*d^-1*b*d^-1*a*c^-1*d^-1*a*b^-1*c^\
-1*b*(d*a)^2*d*c^-1*b^-1*c*a^-1*c*d^-1*a*b*d*a*c^-1*d*a^-1,
  d*b*a*c*a^-1*d^-1*b*a*b*d^-1*b*d*c*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*(a*d^-1)^2\
*b*c^-1*b*d^-1*c^-1*b^-1*c^-1*a*d^-1*b^-1*a*c^-1*(d^-1*b^-1)^2*a^-1,
  b^-1*d*c^-1*d^-1*a*d*a^-1*b^-1*a*c*b^-1*c^-1*a^-1*b*a*d*c^-1*b^-1*c*a^-1*b*\
a*d*b*d*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*a*c^-1*d*a^-1*d*b^-1*c^-1*b^-1*a^-1,
  a*c^-1*d*a*c*b*d^-1*a*d^-1*a^-1*b*a^-1*c^-1*d*a*b*c^-1*d^-1*b*(d^-1*b^-1)^2\
*d^-1*b*c^-1*d*a*c^-1*a^-1*c^-1*b*c^-1*d*a^-1*c^-1*b^-1*d^-1*a*d,
  a^-1*b*d*a^-1*c^-1*b*d^-1*a*d*b*a*c*b^-1*d^-1*b^-1*c*b^-1*d*c^-1*a*c^-1*b^-\
1*d^-1*a*b^-1*a^-1*(c^-1*d^-1*b^-1*a)^2*c*b^-1*d^-1*b^-1*c*b^-1,
  a^-1*d^-1*b*c*b^-1*c*d^-1*a^-1*c^-1*d^-1*a^-1*d*a^-1*d^-1*b^-1*d*a*c*a^-1*b\
^-1*d^-1*c^-1*a*c^-1*b^-1*a^-1*(d^-1*b*a^-1*b^-1)^2*d^-1*c*b^-1*a^-1*d^-1*c^-\
1,
  b^-1*d*b*c*a^-1*d*a*c^-1*d*b^-1*a*b^-1*c*b*d*a^-1*c*a*d^-1*a*c^-1*a*b^-1*c*\
b*d^-1*a^-1*b*a*c*d^-1*a^-1*d^-1*b^-1*a*b^-1*c*a*d*a,
  d^-1*c*d^-1*a^-1*c*(a^-1*d^-1)^2*a*b*c*d^-1*b^-1*d^-1*a^-1*b*d^-1*b^-1*a*(b\
*c^-1)^2*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b*a*d*a^-1*b^-1*a^-1*c^-1*b,
  a*b^-1*d^-1*a*c^-1*a^-1*b^-1*c*b^-1*d^-1*c*a^-1*d*a^-1*b^-1*c*a^-1*c*b^-1*d\
*a*d*a^-1*b^-1*a^-1*d*c^-1*a^-1*b*d*b*c^-1*d*b^-1*d^-1*a^-1*b^-1*d^-1*b^-1*c^\
-1,
  a^-1*d^-1*b*d*b*c^-1*d^-1*a^-1*c*d^-1*b^-1*(a^-1*d)^2*a^-1*d^-1*a*b^-1*c*b*\
a*d*b^-1*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*d*b^-1*a^-1*c*a^-1*d^-1*a^-1*b^-1*c^-1,
  b*d*a^-1*c^-1*b*d^-1*c^-1*a*b^-1*c^-1*b^-1*d^-1*a*b^-1*d*c^-1*b^-1*a*d^-1*b\
*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1\
*c^-1*d*b^-1*d^-1,
  b*c*d^-1*a*d*b^-1*c*d*a*b^-1*c*d^-1*b^-1*d^-1*a*b*(a^-1*d*b^-1)^2*d^-1*c*b^\
-1*a^-1*d^-1*b^-1*c^-1*d^-1*a*b^-1*d*c*a*d^-1*c^-1*a^-1*b^-1*c^-1,
  d*a*b^-1*d*c^-1*b*a^-1*d*b*a^-1*c*a*b^-1*a^-1*d*b^-1*d*c*b*a^-1*d*c^-1*b^-1\
*d*a^-1*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*a^-1*d*c*a^-1*b,
  b*d*a*b*c^-1*a*d*a^-1*c^-1*b*a^-1*d*a^-1*c^-1*a*d*c*a*d^-1*a*b^-1*c*a^-1*d^\
-1*c^-1*a^-1*b*a*c*b^-1*d^-1*a^-1*c*b^-1*d^-1*a*d^-1*a^-1*b^-1*d,
  (d*a^-1)^2*d^-1*c^-1*a^-1*d^-1*a^-1*c^-1*d*a^-1*b*d^-1*b*c^-1*a*c^-1*d^-1*a\
^-1*(c^-1*a^-1*d)^2*c^-1*a^-1*d^-1*a*c*b*a*d*a*b*d*a*c^-1*d*a,
  c^-1*a*d*a^-1*b^-1*a*d^-1*c*b*d*a^-1*c^-1*d^-1*a^-1*c*(b*d^-1)^2*a*b^-1*c^-\
1*d^-1*c^-1*a^-1*d^-1*a*c^-1*b*c^-1*a*(d*a^-1)^2*c*a*b*d*a*b,
  d^-1*c^-1*b^-1*c^-1*a*d*a^-1*d^-1*c^-1*a^-1*d*b^-1*c^-1*d^-1*a^-1*c*a^-1*d^\
-1*b*d^-1*a*b^-1*c^-1*d^-1*b*d*a*b^-1*d^-1*c*a^-1*d*b*a^-1*d*a*b^-1*a^-1*c^-1\
*b*a,
  d*c^-1*d^-1*a^-1*c*b*d*a*d*a^-1*c^-1*d*a^-1*d*a*c*a^-1*b*c^-1*d*a*b*c^-1*d^\
-1*b^-1*d^-1*a*b^-1*a^-1*c^-1*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*b^-1*a*b^-1*c^-1,
  d*c^-1*b*a*d^-1*a^-1*d*a^-1*c^-1*a*b*a^-1*c*a*b*d*b^-1*c*b*d^-1*c^-1*a^-1*d\
*c^-1*b^-1*(d^-1*b^-1*a)^2*c*d*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b^-1*a,
  d*b^-1*a*b^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c*b^-1*a*d^-1*a^-1*c^-1*d*c*a^-1\
*d*b^-1*a^-1*d^-1*b^-1*a*b^-1*c^-1*b*c^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*a*c\
^-1*a*b^-1,
  d^-1*a*b*c^-1*d^-1*b^-1*d^-1*b*c*b*a^-1*c*d^-1*b^-1*a*d^-1*b*a*c^-1*d^-1*c*\
b*c*d^-1*c^-1*a*d*c*a*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*a^-1,
  a^-1*d^-1*a^-1*c^-1*b*c^-1*d^-1*b^-1*d^-1*c*b*a^-1*c^-1*d^-1*a*b^-1*c^-1*d^\
-1*b^-1*d^-1*a*c*b^-1*c*a*d*a^-1*c^-1*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*a*b^-1*d*\
b*d*a^-1*d,
  b^-1*a^-1*d^-1*a*c*d^-1*a^-1*b*d^-1*a*d*a^-1*c*d*a*b*c*b^-1*d^-1*b*a^-1*(b^\
-1*d^-1)^2*c*b^-1*a^-1*d^-1*c^-1*b*c^-1*b^-1*d^-1*a^-1*b*a*b^-1*c^-1*d^-1*c^-\
1,
  d*c^-1*(d^-1*a)^2*b*c^-1*d^-1*b^-1*d^-1*a^-1*b^-1*c^-1*b^-1*(d^-1*b^-1*a)^2\
*c*d^-1*c*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*d*a*(b^-1*d^-1)^2*a^-1*b^-1*a*d*c^-1,
  a^-1*d*b^-1*c^-1*a^-1*b*a*d^-1*a^-1*c*a^-1*b*c^-1*d^-1*b*d^-1*c*a^-1*b*(d^-\
1*b^-1)^3*c^-1*b*a^-1*d*a*b^-1*d*a*c*d^-1*c*a^-1*b^-1*d^-1*a*d^-1,
  d^-1*a*b^-1*d^-1*a*c^-1*a*b^-1*d*a*c^-1*d^-1*b*a^-1*d*a^-1*d^-1*a^-1*d*a^-1\
*b^-1*c^-1*d*c^-1*a^-1*c*d^-1*a*d^-1*b^-1*d^-1*c*b*a^-1*d^-1*c^-1*b^-1*c^-1*a\
^-1*b^-1*a,
  d*a^-1*b^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*a^-1*c*d^-1*b^-1*c*\
b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a*d*a^-1*d^-1*c*b^-1*c^-1*a*c*d^-1*a^-1*d\
^-1*b^-1*c^-1,
  d^-1*b*a*d^-1*a^-1*c^-1*b^-1*a^-1*b^-1*d*a*c^-1*a*b^-1*d*a*c*a^-1*b*a^-1*d*\
a^-1*b^-1*a*d^-1*a^-1*b*a*b*a^-1*d*a*b^-1*d^-1*a*c^-1*d*c^-1*a^-1*c*b^-1,
  a^-1*d*b*d^-1*c*b^-1*a^-1*d*a*c^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d*c*a*d^-1*c^-1\
*a*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^\
-1*c^-1*b*a*c,
  c^-1*d^-1*a^-1*b^-1*c*b*c*a*d*a^-1*c^-1*a*b*c^-1*b^-1*a^-1*d^-1*a*b*d*b*c*a\
^-1*b*d^-1*b*c^-1*a*c^-1*b*d^-1*c^-1*b^-1*(d^-1*a^-1)^2*b^-1*d^-1*c^-1*b^-1,
  d^-1*a^-1*b^-1*c^-1*b*a*d*b*c*b*c^-1*d*c^-1*a*d*c^-1*b*d^-1*c*a^-1*b*c*b*c^\
-1*d^-1*b^-1*c^-1*d*a*c^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a^-1*c^-1*b^-1*a,
  d*b*d^-1*c*b^-1*a^-1*d*c*a^-1*d^-1*a*c^-1*a*b^-1*c^-1*b^-1*d^-1*c*b^-1*c^-1\
*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1\
*a*c^-1*d^-1*c*a,
  c*b^-1*a^-1*d^-1*b^-1*c^-1*d*b*d*c*a^-1*b*d^-1*a^-1*c*b*c^-1*d^-1*c*b^-1*c*\
a*b^-1*d^-1*b^-1*c^-1*d^-1*c*a*d*c^-1*a*c^-1*d^-1*a^-1*d*a*b*a^-1*d^-1*a,
  d*a^-1*d*a*c*a^-1*b^-1*c^-1*b*d*b*c^-1*d^-1*a*c*b^-1*c*d^-1*a^-1*d*a^-1*c*a\
^-1*b^-1*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d*c*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*c^-1,
  d*a*c*d*c^-1*b^-1*a^-1*c*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*c*a^-1*b^-1\
*a^-1*d^-1*c^-1*b^-1*a*d^-1*a^-1*c*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b*c^-1*a^-1\
*b^-1*a^-1,
  d^-1*a*b*c*d*b*d*b^-1*a^-1*b^-1*d^-1*a*d^-1*b^-1*d*b^-1*a*d^-1*b^-1*a*c^-1*\
d^-1*c*(b^-1*c^-1*d^-1*a)^2*b^-1*d^-1*a*c*d^-1*a*c^-1*d^-1*a^-1*c^-1,
  b*a*d^-1*a*b^-1*c^-1*d*c*a*d^-1*a*b^-1*d^-1*c^-1*b^-1*c*b*d^-1*a*b^-1*c*d^-\
1*b^-1*d*a*b^-1*c^-1*a^-1*b^-1*d^-1*c^-1*a^-1*b^-1*c*d^-1*a^-1*d*a*c*d^-1*a,
  a*c*d^-1*c*b^-1*c^-1*d*a*b^-1*c^-1*d*b*d^-1*a*b^-1*a*d*a*c*a^-1*b^-1*d*a*c*\
b^-1*a^-1*d*a^-1*c^-1*b^-1*c*a^-1*d^-1*c^-1*d*a*d^-1*c*a^-1*d^-1*c^-1,
  c*a*d*a^-1*d^-1*b^-1*c*b^-1*a^-1*b^-1*d*b*c*b^-1*a*b^-1*d^-1*a^-1*(c^-1*b)^\
2*a*d^-1*b^-1*c*b^-1*(a*d^-1)^2*c*b^-1*c^-1*d^-1*a*d^-1*b*c^-1*a*d^-1,
  b*a^-1*b^-1*d*(a^-1*d^-1)^2*a^-1*b^-1*a^-1*d^-1*b^-1*(d*c^-1*b^-1*a^-1)^2*c\
*a*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*d^-1*a*d*a*d^-1*a^-1*b*c,
  c^-1*d^-1*a*b*c*d*b*d^-1*b*a^-1*b^-1*d^-1*a*d^-1*b*a^-1*d^-1*b*d^-1*c*b^-1*\
a^-1*d*a*b^-1*a^-1*c*a^-1*d^-1*b^-1*a*c^-1*(d^-1*b^-1)^2*a^-1*d*a*d^-1*b,
  d^-1*b*a*c*d*b*d^-1*a^-1*b*d^-1*b*c*b*a^-1*d^-1*a*b^-1*d*a*c^-1*d^-1*c*(a^-\
1*d)^2*a*d^-1*a^-1*b^-1*a^-1*c^-1*b^-1*d*a*d^-1*b^-1*c^-1*b^-1*a^-1*c^-1,
  (a*d^-1)^2*a^-1*b*c^-1*b*a^-1*b^-1*d*b*a^-1*d^-1*b^-1*d*b^-1*c*d*a^-1*c*a^-\
1*d*c^-1*a*d*a*c*d*b^-1*(d^-1*a)^2*c^-1*(d*a^-1)^2*c^-1*d^-1,
  d*b*a*d*a^-1*d*c^-1*b*a*d*a*b*a^-1*d^-1*a^-1*b^-1*d*a*d^-1*c^-1*(a^-1*d^-1)\
^2*(a^-1*d)^2*a*b^-1*a^-1*d^-1*(b^-1*c^-1)^2*d*b^-1*c^-1*b^-1*a,
  b*a^-1*b*d*b^-1*d*c*b^-1*d^-1*b^-1*a^-1*d^-1*a^-1*b^-1*c*a^-1*c*d^-1*a*b^-1\
*d*a^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*a*b^-1*d^-1*a*d^-1*b^-1*a^-1*c^-1*d^-1*b^-\
1*a*c*b^-1*c^-1,
  c*b*d*b^-1*d*a^-1*d^-1*a*(d^-1*b^-1)^2*c*d*b^-1*a*d*a*c*b^-1*a*b*c*d^-1*b^-\
1*a*c*d^-1*b^-1*a^-1*d*a*b*c*b^-1*a*d*c^-1*b^-1*d^-1*a^-1*b^-1,
  a*d^-1*a*b*a*c*a*b*a^-1*d*b*d^-1*c^-1*b^-1*c^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*b\
*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*(b^-1*d^-1)^2*b^-1*c*b^-1*a*d^-1
    ,
  (d^-1*a^-1)^2*d^-1*b*c*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*c^-1*a*d\
^-1*a^-1*c^-1*b^-1*d^-1*a*c^-1*b^-1*c^-1*d^-1*b^-1*d*c*b*a*b*d*a*b^-1*d*a*c^-\
1*b,
  (d*a^-1)^2*c*b^-1*c*b*a*(b^-1*d)^2*a*b^-1*a^-1*c*a*b*c^-1*b^-1*a^-1*d^-1*c*\
d*a*b*a*d*a*c*b^-1*a^-1*d^-1*a*b^-1*d*a*c*d*b^-1*a^-1,
  c^-1*d^-1*c*d^-1*b^-1*a*d*b^-1*c^-1*a^-1*d*a*d^-1*c^-1*b*a^-1*c*d*a*b^-1*c^\
-1*d^-1*b^-1*d*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*a*d^-1*a*b\
*a^-1*c^-1*b,
  b*c*b^-1*d*a^-1*b^-1*a^-1*c^-1*a*d*a^-1*b^-1*a^-1*d*b*d^-1*b^-1*c^-1*d*c^-1\
*a*c*d*c^-1*d*a^-1*d^-1*a*b^-1*c*b^-1*c^-1*a^-1*d^-1*c^-1*a*c^-1*d^-1*b^-1*a^\
-1*d*a,
  a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*c^-1*a^-1*b*a^-1*d^-1*a*c*a^-1*b*c^-1*d^-\
1*a*(c^-1*a^-1*d)^2*a^-1*b*c*d^-1*a^-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*b^-1\
*a^-1*c,
  a*b*d^-1*b*a*d*b*c*a^-1*d*a*b^-1*a^-1*d^-1*b*d^-1*c*b*a^-1*d^-1*b^-1*c*b^-1\
*d^-1*a*c*d^-1*a^-1*d*a*c^-1*d^-1*a*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1
    ,
  c^-1*d*a^-1*(c^-1*b^-1)^2*a*d*a^-1*b*a^-1*(d^-1*a)^2*d^-1*b^-1*c^-1*b*c^-1*\
d^-1*c*a*d^-1*b^-1*c*a^-1*b*d^-1*c^-1*a^-1*b^-1*a*d^-1*c^-1*a*d^-1*a*c*d^-1*a
    ,
  (d^-1*b)^2*a*c^-1*a*b*d*c*a*d*a^-1*c*b*c^-1*d^-1*b^-1*c^-1*b*a^-1*d*a*b^-1*\
d^-1*a*c^-1*d^-1*c*a*b*d^-1*a^-1*d^-1*b^-1*d^-1*c*a^-1*c*d^-1*c^-1*b^-1,
  a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c*b*a*d*b^-1*a*d*a*d^-1*b^-1*d^-1*c^-1*a*\
b^-1*d*c*b^-1*a^-1*d^-1*a^-1*b^-1*d*a*d*a^-1*d^-1*a^-1*d*a^-1*b*a*c^-1*a^-1*d
    ,
  d^-1*b*a^-1*b^-1*d*c^-1*d*b^-1*c^-1*d*a^-1*c^-1*d^-1*b*c^-1*b*c*d^-1*b^-1*d\
^-1*a^-1*d*a^-1*b^-1*a*d^-1*c^-1*d^-1*a*b^-1*d^-1*a*b*d^-1*c^-1*a*d*a^-1*c^-1\
*d^-1*b^-1*a,
  d*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*c^-1*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*c^-1*\
b^-1*a*c^-1*a*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*c*a*b^-1*d^-1*a^-1*d\
^-1*c*b^-1*c,
  d*c^-1*d^-1*a^-1*c^-1*a*d*a^-1*c*b*a^-1*d*c^-1*a^-1*d^-1*c*b*a*c^-1*d*a*b*a\
*d*a^-1*b*a*d^-1*c^-1*b^-1*c^-1*a^-1*b^-1*d*a^-1*d*b*c^-1*d*a^-1*b^-1*a,
  b^-1*d*a*b*c^-1*d^-1*b*d^-1*a*b*c^-1*d^-1*a^-1*c^-1*b*d*b^-1*d*c*b^-1*a^-1*\
d*b^-1*d^-1*b*c*b^-1*c^-1*d^-1*a*b*c*(d^-1*b^-1)^2*a^-1*b^-1*d*c*a^-1*c,
  a*b^-1*c*d*b^-1*d*a*c^-1*b^-1*a^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-\
1*a^-1*d*c^-1*b*d*b^-1*d^-1*c*a^-1*b^-1*c^-1*b*c^-1*d*a*b^-1*c*(d^-1*b^-1)^2*\
a^-1*d,
  a^-1*b^-1*a*d*a^-1*c^-1*a*d*a^-1*c*a^-1*d^-1*c^-1*a*d^-1*a*b*c^-1*a^-1*d*c^\
-1*d^-1*a^-1*b^-1*d^-1*c*b*c^-1*a^-1*c*b*a^-1*d*a*b^-1*d^-1*a*c*d^-1*c^-1*a^-\
1*d,
  c*b^-1*c*b*a*d^-1*a^-1*c^-1*b*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d*b*c^-1*d*a^-1*\
(c^-1*b^-1)^2*d*c^-1*a*b*a^-1*c^-1*d*c^-1*b^-1*a^-1*d*a*b^-1*d*a*c^-1*d^-1,
  b*a*b^-1*d*c^-1*d*a*b*c*b*a^-1*c^-1*a*d^-1*b*d^-1*a*b^-1*a^-1*d^-1*a^-1*b*a\
*d*c*a^-1*b^-1*d^-1*b*d^-1*b^-1*d*a*c*d^-1*a*c*a^-1*d^-1*c*b^-1*c,
  d^-1*a*b^-1*c*d*b^-1*d*a*b^-1*a^-1*c*(a^-1*d*c^-1)^2*d^-1*a^-1*d*a^-1*c*b*a\
*c^-1*d*c*a*b*a*c^-1*b*d^-1*b^-1*c*b*c^-1*d^-1*c^-1*a*d*c^-1,
  b^-1*c^-1*a*d^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a*b^-1*c^-1*a*\
d^-1*a^-1*c*a*d^-1*c*b*a*c^-1*a^-1*d^-1*b*a^-1*d^-1*c*a^-1*b*a^-1*c^-1*(d^-1*\
b^-1)^2*c^-1,
  d^-1*c*a^-1*b*c*b*d^-1*c^-1*a*d^-1*c^-1*b^-1*(d^-1*a^-1)^2*b^-1*d^-1*a*(c^-\
1*a^-1*d^-1)^2*a^-1*d^-1*a*c*b*a*d*a^-1*c^-1*b^-1*d*a*c^-1*b*a^-1*d^-1*a,
  d^-1*b^-1*d*c*b^-1*a^-1*d*c^-1*b*c^-1*d*a*b*c^-1*d^-1*b^-1*d*a*c^-1*b^-1*d*\
a*b^-1*c^-1*d^-1*b^-1*d*c^-1*b^-1*c^-1*d*a*b*c^-1*d*b^-1*c^-1*a*c^-1*d^-1*b^-\
1*c^-1,
  d*b^-1*d*a*d^-1*a^-1*b*a*c*b*c*d*a*d^-1*a*b^-1*c^-1*b^-1*a*d^-1*a*d*a*b^-1*\
(d^-1*a)^2*c*d^-1*b^-1*c*b^-1*a^-1*d*a*b^-1*c*a^-1*d^-1*a^-1*b,
  d^-1*b^-1*c^-1*d*a*d*c^-1*b*a^-1*d^-1*c*d^-1*c^-1*b*a^-1*d*a^-1*c^-1*b^-1*d\
^-1*a*b^-1*c*d^-1*b*d^-1*b^-1*c*a^-1*d^-1*a*b^-1*a*c^-1*d^-1*a*b^-1*a^-1*b*d^\
-1*a*c^-1,
  a*d^-1*a*b^-1*c*d*b*c*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b*a*c*(b^-1*d)^2*c*\
b^-1*a*b^-1*d^-1*b^-1*d*c*b*a^-1*d^-1*b^-1*a^-1*d^-1*c*b^-1*d^-1*a*d^-1,
  d*a^-1*b^-1*(a*d)^2*b^-1*c*d*a^-1*c^-1*d^-1*b^-1*c^-1*b^-1*(c^-1*d^-1*a^-1)\
^2*b^-1*a*d^-1*b^-1*d^-1*a*d^-1*c*b^-1*c^-1*b*d*a^-1*c^-1*d^-1*a^-1*b^-1*a*d*\
c,
  a^-1*d^-1*a*b^-1*c^-1*d*b*d^-1*b^-1*c^-1*a^-1*b*a*d^-1*b^-1*d^-1*a*b^-1*c^-\
1*d^-1*b*d^-1*b^-1*c^-1*b*a*b*d*a*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*c^-1*d*a*c*a^\
-1*c*b,
  c^-1*a*d^-1*c^-1*b*d*a*b*c*d^-1*b*d*a*b*d^-1*a^-1*b^-1*c^-1*b*d^-1*a*d*a*d^\
-1*c*a^-1*c*b^-1*a*d^-1*a*b^-1*c^-1*d^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d^-1*a*d,
  d*b^-1*d*c*b^-1*a^-1*d^-1*c*a^-1*c*d*a*b^-1*d*a*c*d^-1*a^-1*b^-1*a^-1*d^-1*\
b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*a*d^-1*c*a*d*a*b^-1*c^-1*a^-1*d^-1*\
c^-1*b^-1,
  c*d^-1*c^-1*a*b^-1*c*d^-1*a^-1*d*a^-1*d^-1*a^-1*b*c^-1*b^-1*a^-1*d*b^-1*a*b\
^-1*d^-1*c*d^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*a^-1*b^-1*d^\
-1*(c^-1*d^-1*b^-1)^2,
  c^-1*b*d*a*d*c^-1*b*d*b^-1*d^-1*a^-1*b^-1*a*d^-1*a*c*d*a*c^-1*d*a^-1*c*b*c*\
a^-1*(d^-1*b^-1)^2*c*d*a^-1*c*d^-1*a^-1*b^-1*d*a^-1*d^-1*b^-1*c^-1*a*d,
  b^-1*a^-1*d*a^-1*c*d*a^-1*d^-1*a*c*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1*a*b*a^-1*d\
*a^-1*b^-1*a*d^-1*a^-1*c*d^-1*b*(a^-1*d)^3*a^-1*b^-1*a^-1*(d^-1*b)^2*c^-1*a^-\
1,
  d*a*b^-1*c*a*c*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c*a*c^-1*b^-1*d*c^-1*a^-1*\
d*b^-1*a^-1*d*a*b^-1*c^-1*(b^-1*d^-1)^2*a*b^-1*c*d^-1*b^-1*d*a^-1*b^-1*a*c*b^\
-1,
  a^-1*d*a*b*c^-1*d^-1*b*d^-1*a^-1*b*c*d*a*b^-1*c^-1*(d*b^-1)^2*c*a^-1*b*a^-1\
*d*a*b*d*c^-1*a*b*a^-1*d*a*d*c^-1*a^-1*d^-1*b*a^-1*d^-1*c*a*b,
  a*c^-1*b*a^-1*d*b^-1*(d*a^-1)^2*b*a^-1*c^-1*b*d*a*d^-1*a*b^-1*c^-1*a^-1*d*c\
*a^-1*b^-1*d^-1*c^-1*b*a^-1*d*a*b^-1*d*a*c^-1*d^-1*a*c^-1*d*c^-1*a^-1*b^-1*d^\
-1,
  d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c*b^-1*d*c^-1*b^-1*a^-1*c^-1*a*b*a^-1*d^-\
1*b*d^-1*c^-1*b^-1*a^-1*d*b^-1*c*b^-1*d*a^-1*b*c*b^-1*c^-1*a*d^-1*c*b^-1*a*c^\
-1*d^-1*c*b^-1,
  b^-1*c^-1*b*d*a*b^-1*c*d*(b^-1*d^-1)^2*c^-1*d^-1*(c^-1*b^-1)^2*d^-1*a*b^-1*\
c^-1*d^-1*b^-1*d*a*b^-1*d*b^-1*c*a*d*c*a^-1*d^-1*a*d*c^-1*d*(a^-1*d^-1)^2,
  d^-1*c^-1*a*c^-1*b^-1*c^-1*d*a*b*c^-1*d^-1*b^-1*d*a*(c*b^-1)^2*a*c^-1*d^-1*\
b^-1*a^-1*d*a^-1*c*b^-1*c^-1*a^-1*c^-1*d^-1*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-\
1*b^-1*a^-1*d^-1*b*c^-1,
  a*d*a*d^-1*a*b^-1*a*c^-1*d*a^-1*b^-1*c*d*a^-1*d*c^-1*a^-1*d*b^-1*a^-1*d^-1*\
a*c*a^-1*b^-1*d^-1*b*d^-1*b^-1*c^-1*d^-1*a^-1*c*a^-1*d*b^-1*a^-1*c*b^-1*a*c*a\
^-1*d^-1,
  d^-1*a*b^-1*a*c*d*c^-1*b^-1*a^-1*d*a^-1*b*d^-1*a*b^-1*c^-1*d^-1*a^-1*c^-1*d\
^-1*c*b^-1*c^-1*b*a^-1*d*c^-1*b^-1*c^-1*a*c^-1*d^-1*a^-1*d*b^-1*c^-1*a*d^-1*a\
*c*a*b^-1*a^-1,
  a*b*d*b^-1*d^-1*b^-1*c*d*c^-1*a*c^-1*d*c^-1*d^-1*b^-1*a^-1*c*(a*d)^2*a*d^-1\
*a*c^-1*b*c^-1*b^-1*a*d^-1*a^-1*d*a*c^-1*a^-1*b^-1*a^-1*c*a*d^-1*a*c^-1*d^-1,
  b*c^-1*a^-1*d*a^-1*b*a*d*b*a^-1*c*a^-1*b^-1*a*d^-1*b*c*b*a^-1*d*a^-1*c*d^-1\
*b^-1*a^-1*c*b^-1*d^-1*a*d^-1*c*a^-1*d*a*b*d*b^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1,
  d*c*a^-1*b^-1*d*b*a^-1*c^-1*d^-1*a^-1*b^-1*a^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c^\
-1*a*b^-1*d^-1*a*c^-1*(d^-1*b^-1*a)^2*c*a*d^-1*b^-1*d^-1*b*c*d^-1*a^-1*c^-1*d\
^-1*c^-1*b^-1*a^-1,
  b^-1*c*a^-1*b*d^-1*c*a^-1*b^-1*d^-1*b*d*b^-1*c*a^-1*b^-1*a*d^-1*c^-1*a*d^-1\
*b*d^-1*c*b*a^-1*d^-1*a*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*c*d^-1*c*a*d^-1*c^-1*\
a^-1*b^-1*d^-1,
  c*a*b*c*d^-1*a^-1*d*a^-1*b*d*a*b^-1*a^-1*d^-1*b*d^-1*c*b*a^-1*d*b*a^-1*b^-1\
*c^-1*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*c^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*d\
^-1*a^-1,
  d^-1*a^-1*b*a*c*b^-1*d^-1*a*(b^-1*d^-1)^2*a^-1*d*c*b^-1*d^-1*b^-1*d*c*b^-1*\
a*c^-1*a^-1*d*a^-1*b*c^-1*a^-1*d^-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*\
b^-1*c^-1*a^-1,
  b*d^-1*c^-1*b*a^-1*d*c^-1*b^-1*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*c^-1*b*a^-1*b*d\
^-1*a*c*d*b*c^-1*d*a^-1*c^-1*b^-1*c^-1*d^-1*b*d^-1*a*b*a*c^-1*d*b^-1*a*c^-1*b\
*a^-1,
  d*b*d*a^-1*c^-1*b*d^-1*a*b^-1*(c^-1*d^-1)^2*b*a^-1*c^-1*a*b^-1*(d^-1*a)^2*c\
*(d^-1*a^-1)^2*b^-1*d^-1*a*d*a^-1*b*a*d^-1*b^-1*c^-1*d*a*c^-1*a^-1*b^-1*a,
  b*a*d*c^-1*a^-1*b^-1*d^-1*b*c*a*d*c*d^-1*a*(c*b^-1)^2*d^-1*a*b*c^-1*d^-1*b*\
d^-1*a*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*a*d^-1*c*a*c,
  d^-1*a*b*c*d^-1*b^-1*a^-1*c^-1*b^-1*d*a*d^-1*b*a*c^-1*b^-1*c*a^-1*d*c^-1*a*\
b^-1*c^-1*(b^-1*d^-1)^2*c^-1*a*b^-1*c^-1*b^-1*a^-1*d^-1*a*d*a*d^-1*c*a*c*b^-1\
*a,
  d*c^-1*b*a^-1*d^-1*c^-1*b*c^-1*a^-1*d*a*b*c^-1*b^-1*d*b^-1*c^-1*b^-1*a*d*b*\
a*c^-1*d^-1*b^-1*d^-1*a*c*a^-1*b*c^-1*d^-1*a*c*b^-1*a*d^-1*a*b^-1*d^-1*c*a^-1\
*b,
  d^-1*b*a^-1*b*c*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*(d^-1*b^-1)^2*c*d^-1*a^-1*b\
*(d*a)^2*c^-1*b*d*a^-1*b^-1*a*c*b^-1*d^-1*a^-1*d^-1*b*c^-1*a*(d^-1*c^-1)^2*a^\
-1,
  a*d*b^-1*a*(b*d)^2*b*a*c^-1*d^-1*(b^-1*d*a)^2*c^-1*a^-1*d*a*b^-1*(d^-1*a*c)\
^2*d^-1*a*(d^-1*c^-1)^2*a^-1*d*b^-1*a^-1*d*a*b*c^-1,
  b*d^-1*c*b*a^-1*d*b*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1*c*b^-1*d^-1*a*b*c*d^\
-1*a*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c*b*c*b^-1*d^-1*a^-1*b*a*d*b^-1*a^-1*d^-1*\
c^-1*a*c^-1,
  c^-1*d^-1*b*d*a^-1*b*a*c*b^-1*d*a*b*c*d^-1*(b^-1*d^-1*a)^2*c*d^-1*b^-1*c^-1\
*b^-1*d*a*b^-1*c^-1*d*b^-1*a*d*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*a*c^-1*a^-1*b^-1
    ,
  a*(b^-1*d)^2*c*b^-1*a^-1*d^-1*a^-1*c*b^-1*d*c^-1*b^-1*a^-1*(b^-1*d^-1)^2*c*\
b*a^-1*d^-1*b^-1*d*b^-1*c*b^-1*a*d^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*b^-\
1*a*c^-1,
  a*b*c*b^-1*a^-1*(d^-1*a*b^-1)^2*c*a*d*b*a*c^-1*d*b^-1*d^-1*c^-1*a*c^-1*d^-1\
*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*d*c^-1*a^-1*c^-1*b*a*d,
  c^-1*b*c*(d^-1*b)^2*c*d*a*b^-1*c^-1*d^-1*b*c^-1*b^-1*d*a*b^-1*c*d^-1*b*d*a*\
b*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a*(b^-1*d^-1)^2*b*c^-1*\
a^-1,
  d^-1*c*a*d*a*c^-1*a*d^-1*a^-1*d*a*b*c^-1*d*b*a*d^-1*b*a^-1*c^-1*d^-1*c*a^-1\
*d*b*a^-1*d^-1*a*c*b^-1*c^-1*a^-1*b*d^-1*b^-1*d^-1*c*a^-1*b*d*a^-1*c^-1*b^-1*\
c^-1,
  d*b*d^-1*c*b^-1*a^-1*d*a^-1*b^-1*a^-1*c^-1*b^-1*d*b^-1*d^-1*c*a^-1*b*d*a^-1\
*c^-1*b*c^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*b^-1*c*a^-1*c*d^-1*c^-1*d*a*b*c*d^-1*\
a*b^-1*c*a,
  b*d^-1*a*b*c^-1*d^-1*b*d^-1*a*b*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*d*a*d\
^-1*b^-1*a*c^-1*b*a^-1*c^-1*a*b^-1*c^-1*d^-1*a^-1*b^-1*a^-1*d^-1*c*b*d^-1*a*c\
^-1*d^-1*a^-1,
  b^-1*a^-1*c^-1*b*d*a*b*c*d*b*d*c^-1*a*b*c^-1*d*b*a*d*c*a^-1*(b^-1*d^-1)^2*b\
*a^-1*d^-1*a*d*b*a^-1*c^-1*d^-1*c^-1*b^-1*a^-1*d*c^-1*d^-1*c^-1*b*a^-1*d^-1,
  d^-1*a*b^-1*c*d*b^-1*d*a*b*c*b*d*a^-1*c^-1*d^-1*a^-1*d*b^-1*c^-1*b*a*d^-1*b\
*c^-1*b*a*d*a^-1*d^-1*b^-1*c^-1*a*b^-1*d^-1*b^-1*c^-1*(d*c*a)^2*b*c^-1,
  c^-1*d^-1*a*b^-1*c^-1*d*b*d^-1*c^-1*b*a^-1*c*a*d*a^-1*c*b^-1*d^-1*a*d^-1*a^\
-1*d^-1*c^-1*d^-1*a^-1*d^-1*a*c*b*d^-1*a*b*c^-1*a^-1*d*a^-1*b*a*d^-1*a^-1*c*b\
*a*d^-1,
  d*a^-1*c^-1*b^-1*c*a^-1*d^-1*a*b*d^-1*a*c^-1*d^-1*a*b*d^-1*a^-1*d*a*b*a^-1*\
d^-1*b^-1*d*c^-1*b^-1*(a^-1*d*a*d*c^-1)^2*a^-1*d*a^-1*d^-1*a^-1*c^-1*b^-1*c^-\
1,
  (c^-1*d^-1)^2*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b*a*c^-1*(d^-1*b^-1)^2*c^-1*a*d^\
-1*c^-1*b*d^-1*a^-1*b^-1*(d^-1*a*c^-1)^2*d^-1*c^-1*b^-1*a^-1*b^-1*c^-1*a*d^-1\
*c*a^-1*d*b^-1,
  a^-1*c*b^-1*a*c^-1*d^-1*a*d^-1*c*b^-1*c*a*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a^-1\
*b^-1*a*c*b*c^-1*d^-1*b^-1*d*a^-1*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-\
1*d^-1*b^-1*a^-1*c*a*b^-1,
  d^-1*a*b*c*(d*b^-1)^2*a*c*b^-1*a^-1*d*b*d*c*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*b\
^-1*c^-1*a^-1*d^-1*b^-1*a*d^-1*a*b^-1*c^-1*d^-1*b^-1*a*c*a^-1*d^-1*a^-1*c^-1*\
d^-1*c^-1*b^-1*c^-1,
  c^-1*a*b*c*d*a*b*c^-1*d*b^-1*d^-1*a*b*a*d*a^-1*b*a*d^-1*b^-1*d*c^-1*b^-1*a^\
-1*d^-1*b^-1*c*b^-1*d*a*d*c^-1*d^-1*b^-1*a^-1*d*a*b*d^-1*b^-1*d^-1*a^-1*d^-1*\
a,
  d^-1*a*d*b^-1*c*b^-1*a*c*d*a*b*d^-1*a*c*d^-1*c*d*a*c*b^-1*a^-1*d*b^-1*d^-1*\
c*b^-1*a^-1*d*b^-1*c^-1*b^-1*a^-1*b^-1*d^-1*a*b^-1*c*d^-1*c*a^-1*d^-1*a^-1*c^\
-1*b^-1,
  d*c*a^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*c*d^-1*b^-1*a*b*d*b*d^-1*a*b*a^-1*\
d^-1*c^-1*d^-1*b*d^-1*c^-1*b^-1*a*d^-1*c^-1*a^-1*b*d^-1*c^-1*a*d^-1*a*b^-1*c*\
b^-1*d^-1*a*c,
  b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*a^-1*c*d^-1*a*d*a^-1*b^-1*d*a*c*b^-1\
*d^-1*a*d*a*c*a^-1*b^-1*a*c^-1*a^-1*d^-1*a*b^-1*c*d^-1*b^-1*a^-1*d^-1*c^-1*a^\
-1*d*a*d^-1*c^-1,
  (d*a^-1)^2*b^-1*a*d*c^-1*a*c^-1*b*a^-1*d^-1*c^-1*b*d^-1*a^-1*b*d^-1*c^-1*a^\
-1*b^-1*d^-1*c*b*a*c*d*b^-1*d^-1*c^-1*a*b^-1*a^-1*d*c^-1*a^-1*(b^-1*d^-1)^2*b\
*a^-1*b,
  d^-1*b^-1*d*c*a*b^-1*a^-1*d^-1*b^-1*c*a*d^-1*c*b*c*d*b^-1*d^-1*b^-1*a*d^-1*\
b^-1*d^-1*c^-1*b*a^-1*d*b^-1*a^-1*b^-1*c^-1*b^-1*d*b^-1*a*d*a^-1*d^-1*c^-1*b^\
-1*a*d*a^-1*b^-1,
  a^-1*d^-1*b*d*c*a^-1*d^-1*c*a^-1*c*d^-1*a*b*c*b^-1*d^-1*b*a*c^-1*(b^-1*d^-1\
)^2*c^-1*b*a^-1*d*a^-1*b^-1*d^-1*b^-1*a*d^-1*b*a*c^-1*d^-1*c*b*c^-1*d^-1*c^-1\
*b^-1*c^-1,
  b*a*d^-1*a*c^-1*b*a^-1*d^-1*a*c*d*c^-1*b^-1*d^-1*b*d*a*b^-1*a^-1*c*a*b^-1*c\
^-1*b*a*d*a*b*a^-1*d^-1*b^-1*a^-1*d*b*d^-1*c^-1*b^-1*a^-1*d*a^-1*b^-1*a*d*a^-\
1,
  a*b*c*d^-1*a^-1*b^-1*c*b^-1*a*d^-1*b^-1*a^-1*c^-1*b^-1*d*b^-1*a*d^-1*b^-1*c\
^-1*b*c^-1*d^-1*a*c^-1*b*d^-1*b^-1*d^-1*a*b^-1*c*a*c*d^-1*c^-1*a*d^-1*b^-1*c*\
d^-1*b^-1*a^-1*c,
  d^-1*c^-1*d^-1*c*a^-1*c*d*c*(b^-1*d)^2*c^-1*b*c^-1*a*b*a^-1*d^-1*a*c^-1*d^-\
1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*a*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b\
*c^-1*d*c^-1*d^-1*b^-1,
  a^-1*b*a*d*a*b*c*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*c*d*b^-1*c*a*c*d*a*c*a\
^-1*d^-1*b^-1*c^-1*d^-1*c^-1*a*d^-1*c^-1*a^-1*b^-1*a^-1*d*a^-1*b^-1*a*d^-1*c^\
-1*b^-1*d,
  b^-1*d*a^-1*b*d*a*c*d^-1*a*(b^-1*d^-1)^2*c*d^-1*c^-1*a*c^-1*b^-1*d^-1*c*(d^\
-1*b^-1)^2*a^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b*a*d*a^-1*c^-1*d^-1*a*d*a^-1*\
c*a,
  a^-1*c^-1*d*a^-1*(c^-1*b^-1)^2*a*d*c*b^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*c*d^-1*\
a^-1*d^-1*a*b^-1*c*a*d*a^-1*b^-1*a*c^-1*b^-1*c*a*d^-1*c^-1*b^-1*c^-1*b*d^-1*c\
^-1*a*d*b,
  c^-1*b^-1*c^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*a^-1*c^-1*b^-1*(d*a)^2*c\
^-1*b^-1*d^-1*c*a^-1*d^-1*b*a^-1*d*a*b^-1*a^-1*d*c^-1*a^-1*d^-1*b^-1*c*a*c^-1\
*d^-1*b^-1*a^-1*c^-1*d^-1*a,
  a*c*a^-1*d^-1*b*d^-1*c*b*a^-1*d*b*c*b^-1*d^-1*c^-1*b^-1*a^-1*c^-1*a*d^-1*c*\
b^-1*d^-1*a^-1*b^-1*a*d^-1*a^-1*b^-1*c*b^-1*a*d^-1*b*a*c*d^-1*b^-1*d^-1*b*c^-\
1*b^-1*c^-1*a*d^-1,
  b^-1*c^-1*d*b*d*c*a^-1*c*d^-1*c*b*d^-1*b^-1*d^-1*a^-1*b^-1*d*b^-1*a*b^-1*d*\
b^-1*d^-1*c*b*a^-1*d*b^-1*c*a^-1*b^-1*a*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*b\
^-1*d^-1*c^-1*a^-1,
  c*b*d*a^-1*b*c*b*c^-1*d^-1*a^-1*b*a*d*c*a*d*a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1\
*d*a*b^-1*c^-1*b*d^-1*b^-1*d*a^-1*b^-1*a*d*b^-1*d*b*a^-1*d*a*d*b*a*d^-1,
  d*a*b*c^-1*d^-1*b*d^-1*a*c*b*c^-1*d*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1\
*d^-1*b^-1*a^-1*c^-1*b^-1*c*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1\
*b*(a*d)^2*a*d^-1*a^-1*c,
  d*b*d^-1*c^-1*b*a^-1*d*c*b*c*a*b*a^-1*d^-1*b^-1*d*a*c*a^-1*b*d*c*b^-1*a^-1*\
d^-1*a^-1*b^-1*d*a*b*a^-1*d^-1*c^-1*b*c^-1*a*d^-1*c^-1*a*b^-1*a^-1*(d^-1*c^-1\
)^2,
  d*a*d^-1*c*d*a*d*a^-1*c*b^-1*a^-1*d^-1*a*b*d*a*c^-1*d^-1*c*a*b^-1*a^-1*d^-1\
*a^-1*b^-1*a*c^-1*a*d^-1*a*b*c*d*b^-1*c^-1*a^-1*c*d^-1*a*b^-1*c^-1*b^-1*d*a*c
    ,
  b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*c^-1*a*b*a*d^-1*a*c^-1*d*c^-1*b^-1*a^-1*d\
*b^-1*c^-1*a^-1*b^-1*(d*a)^2*d*b^-1*a^-1*d*c*b^-1*c^-1*b*d*c^-1*a*d^-1*c^-1*a\
^-1*c^-1*b*a^-1,
  d*a*b^-1*c^-1*d^-1*b*d^-1*c^-1*a*d*c^-1*b^-1*c^-1*d^-1*a*b*c^-1*d^-1*(b^-1*\
d^-1*a)^2*b^-1*c^-1*b^-1*d^-1*(b^-1*c^-1)^2*a*b*d^-1*a*b*c^-1*d*b^-1*d^-1*c^-\
1*a*b^-1*a^-1,
  d^-1*a^-1*c^-1*d*(b*c)^2*d^-1*a^-1*c*a^-1*d^-1*b^-1*a*b^-1*c*a^-1*b^-1*d*c^\
-1*b^-1*c*d^-1*b^-1*d*a*b^-1*a*d^-1*a^-1*d^-1*a*c^-1*b^-1*c^-1*a^-1*b^-1*d*a^\
-1*d*b^-1*c^-1*a*b,
  a^-1*b*c*b^-1*c^-1*a*d*a*b*a*c*a*d^-1*a*c^-1*d^-1*b^-1*d*b*c*d^-1*c*a*(c^-1\
*d^-1)^2*b^-1*a*c^-1*d^-1*a^-1*b^-1*a^-1*(d^-1*b^-1)^2*(c*d^-1*a^-1)^2*d,
  b^-1*d^-1*a*b*c^-1*d^-1*a^-1*b*c*b*a^-1*d*a*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*c\
^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*a^-1*d*a*c*b^-1*d*a*d*c*a*d^-1*a*c*b^-1*d^-1*a\
^-1*d*b^-1*c^-1,
  d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b*c*b^-1*c^-1*d^-1*c*b^-1*a*d^-1*a^-1*b^-1*c*b\
^-1*a*d^-1*a^-1*d*b^-1*c*b^-1*d^-1*b^-1*a*b^-1*c*b^-1*d*a*d^-1*c^-1*a^-1*b*c*\
d*a^-1*c*b^-1*a,
  d^-1*b*d^-1*c^-1*b*a^-1*d*c^-1*b*c^-1*b^-1*d^-1*a*d^-1*c*b^-1*a*b^-1*c^-1*d\
*a*b^-1*d*a*c^-1*(d^-1*c^-1*a^-1)^2*d^-1*b*a^-1*d^-1*b^-1*c^-1*a^-1*b^-1*d*a^\
-1*c*a*b^-1*a,
  a^-1*d*c^-1*b*d*a*d^-1*a^-1*b*d*c*b*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d*b^-1*\
a^-1*d^-1*a^-1*c*a*b^-1*d^-1*a*b*a^-1*d^-1*c^-1*b*c*d^-1*a*d^-1*c^-1*a^-1*d^-\
1*a*d*a*b^-1,
  a*d^-1*c*b*c^-1*d*b^-1*a*d^-1*a*d*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*c^-1*a^-1*b\
*d*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*b^-1*a^-1*d^-1*c^-1*a*d^-1*c*b^-1*d^-1*b^\
-1*d*a*c*b^-1*c^-1,
  d*c^-1*b^-1*d^-1*a*c*d^-1*c*a^-1*d*a^-1*b*c*d^-1*c^-1*b*a^-1*d^-1*(c^-1*b^-\
1)^2*d^-1*c^-1*b^-1*c*(a^-1*d)^2*b^-1*a^-1*c^-1*a*b*d^-1*a^-1*d^-1*c^-1*b^-1*\
a*d^-1*b^-1*c^-1*a,
  c*a*d^-1*c*d^-1*a*b^-1*d^-1*a*c*d^-1*a*b^-1*c^-1*d^-1*a*b^-1*d^-1*a*c*d^-1*\
a*b*a^-1*d*a*b*d*a*c*d^-1*c*a^-1*b^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*c^\
-1*b^-1*a,
  a^-1*d*c*b*c*d*a^-1*d*b^-1*c*b^-1*c^-1*d*a*b^-1*c*d*b^-1*d*a^-1*c*b^-1*a*d*\
a^-1*b^-1*d*a^-1*d*a*b^-1*a^-1*c*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*d*a^-1*d
    ,
  b^-1*a*c^-1*d^-1*a*b*(c^-1*d^-1)^2*a*b*c*d*a^-1*b^-1*c*b*c^-1*d^-1*c^-1*a*d\
*c^-1*b^-1*(a^-1*d)^2*c^-1*a*d*a*d^-1*b*c^-1*a^-1*d*a^-1*c*a*d^-1*b*d^-1*a^-1
    ,
  d^-1*b^-1*d*c*d*b^-1*a^-1*d^-1*a*b^-1*d*a*c^-1*d*c*b*c*a^-1*d*a*d^-1*c^-1*d\
^-1*a^-1*b*d^-1*b^-1*a*d^-1*b*a*c*d*c^-1*b^-1*c^-1*d^-1*b^-1*c^-1*b*c^-1*a*d*\
b^-1*a^-1,
  a*c^-1*d*a*b*d*a*c^-1*(d^-1*a*c)^2*b*c*a*d*b*a*c^-1*d^-1*b*d^-1*b^-1*a*b*(d\
^-1*a)^2*d^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*b*a^-1*d,
  a*d*a^-1*d^-1*a*d*c*b^-1*a*d^-1*a*b^-1*a^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*c*b^-\
1*c^-1*b^-1*d^-1*a*d^-1*a^-1*c*a*b^-1*a^-1*d^-1*b*c^-1*b^-1*a*c^-1*a*d^-1*a^-\
1*b^-1*a^-1*c^-1*b^-1,
  d^-1*a^-1*c*d*a*b*a^-1*d^-1*b^-1*c^-1*a^-1*b^-1*a^-1*d*b^-1*a*c^-1*b^-1*a^-\
1*c*a*d*a*b^-1*(d^-1*a)^3*d^-1*b*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*b*c^-1*a^-1*c^-\
1*d^-1*a,
  a^-1*b^-1*a^-1*d*b^-1*d^-1*c*b*a^-1*d*c^-1*b^-1*a*d^-1*c*a*d^-1*b^-1*d^-1*c\
^-1*a^-1*b*d^-1*a^-1*c*a*d^-1*c^-1*a*d^-1*c*a*d^-1*b^-1*c^-1*b*a^-1*d*a*b^-1*\
d^-1*a*c*d^-1*b^-1*c,
  a^-1*c*a*d*b*d^-1*c*b^-1*a^-1*d*a^-1*c^-1*a*b^-1*a^-1*c*d^-1*c*b^-1*c^-1*d^\
-1*c*a^-1*b*d^-1*a^-1*b^-1*d^-1*b*a^-1*(b^-1*d^-1)^2*c^-1*b^-1*c*d^-1*a*b^-1*\
c^-1*d^-1*b^-1*d^-1*a*d,
  c^-1*b^-1*d^-1*a^-1*d*c*a^-1*c*b*a*d*a^-1*b*a*d^-1*a*c^-1*a*b^-1*d^-1*b^-1*\
d*c*b^-1*a^-1*d*b^-1*d^-1*(a*d)^3*a*d^-1*a*b^-1*a^-1*d*a^-1*d^-1*a^-1*c^-1*a^\
-1*b,
  d^-1*b*a^-1*d*a*c^-1*d*a*b^-1*c*d*b*d^-1*a*b^-1*d^-1*b*c*b^-1*c*d^-1*c*a*d^\
-1*c^-1*b^-1*c^-1*d^-1*a^-1*b^-1*a^-1*d^-1*c*b*d^-1*b^-1*c^-1*b*a^-1*c^-1*a*b\
^-1*c*b^-1*d^-1*c,
  c^-1*b*d*a*b*c^-1*d^-1*b^-1*d*a^-1*d^-1*b*d^-1*a*d*b*c*d*a*b*c^-1*(d^-1*b^-\
1)^2*a^-1*b^-1*d^-1*c^-1*d^-1*a^-1*b^-1*a^-1*d*c*a^-1*b*a*d^-1*a*b^-1*c^-1*d^\
-1*b^-1*d^-1*a^-1,
  a^-1*b^-1*d^-1*b*d^-1*c^-1*b*d*b^-1*a*d^-1*b*a^-1*c*a^-1*b^-1*d^-1*a*b^-1*c\
^-1*d*c^-1*a^-1*d^-1*a^-1*b*a^-1*c^-1*b^-1*d^-1*b^-1*c^-1*d^-1*c*a*c*(d^-1*b^\
-1)^2*d^-1*c^-1*b*a^-1*d^-1*c,
  c*d*b*a*d*a*b^-1*c^-1*d^-1*c*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*\
a*b*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a*d^-1*(b^-1*c^-1)^2*d^-1*c*\
a*d*a^-1*b^-1*c*a^-1,
  d*c^-1*a*b^-1*a^-1*d*a^-1*c*b^-1*c*a^-1*d*a^-1*b^-1*c^-1*b^-1*a^-1*d^-1*a*b\
*(d^-1*a*c)^2*d^-1*b*a^-1*b^-1*d*c^-1*a^-1*b*a*d*b*d^-1*c*b^-1*a^-1*d*a*b^-1*\
a^-1*c,
  a*b*c*b*a*d*b^-1*a*c^-1*d*b*d*b^-1*a*d*c^-1*b^-1*c*a^-1*c*d*a^-1*d^-1*c*b^-\
1*c^-1*b^-1*d*a*d^-1*b^-1*a*b^-1*d^-1*a*c*a^-1*b^-1*a*c^-1*a^-1*d*a*d*b^-1*d^\
-1,
  b*c*a*b*c^-1*b*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*d*c^-1*a^-1*d^-1*a*c^-1*a^-1*\
b*c^-1*d*c*a*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*b^-1*d^-1*c*a^-1*b^-1*c^-1*b^-1*d*b\
^-1*a*c^-1*a^-1*d,
  c*d^-1*b*c*d*b^-1*d^-1*a*b*c^-1*b*(d^-1*a)^2*d^-1*c*a*b^-1*c^-1*d^-1*b*d^-1\
*c*(a^-1*d^-1)^2*c^-1*a*d^-1*a^-1*d^-1*b^-1*a*d*a*d^-1*b^-1*c^-1*d*a^-1*c^-1*\
d^-1*c*a^-1,
  a*d^-1*a^-1*c*a*b*a^-1*d^-1*a*c^-1*a^-1*d^-1*b*a*d^-1*c*b^-1*c^-1*b^-1*d*c^\
-1*a*d^-1*c*a^-1*b^-1*a*d*a^-1*b^-1*d^-1*b^-1*a^-1*b^-1*d*a^-1*c^-1*b^-1*c^-1\
*b*a*d*c^-1*b^-1*a^-1*c^-1,
  (a*d)^2*c^-1*b*a^-1*c^-1*a*b*a^-1*d*b*d*c^-1*b^-1*a^-1*d^-1*b^-1*a*d^-1*b*d\
^-1*b^-1*c*d^-1*a^-1*c*a^-1*d*c^-1*(a*d)^2*a*d^-1*a*c*d^-1*a^-1*d^-1*b^-1*c^-\
1*a*d^-1,
  d*b^-1*c*b*c*a*d*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*a*d*a^-1*d*b^-1*a*d^-1*a*b^-\
1*d^-1*b^-1*d*c*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c*d*b^-1*c^-1*a*c^-1*(d*a)^2*d*\
c^-1*b^-1*c^-1,
  d*a*b^-1*c^-1*d^-1*b*d*b^-1*a^-1*c^-1*a*b^-1*d*c*b^-1*a*d^-1*b^-1*a^-1*d*b^\
-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*(d*b^-1)^2*d^-1*c^-1*b^-1*a^-1*d*b\
^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*a,
  d*b^-1*c*b*c*a*d*c^-1*a*b^-1*c*a^-1*b^-1*d^-1*b^-1*c^-1*d*a^-1*d^-1*c^-1*a^\
-1*d^-1*a*c^-1*a^-1*d^-1*a^-1*c^-1*b*a^-1*b^-1*c^-1*a^-1*d*a*d^-1*a^-1*c*a*d^\
-1*a*d*b^-1*c^-1*a^-1*b^-1,
  b*c^-1*a*b*d^-1*b^-1*d^-1*c^-1*a*b*a^-1*d^-1*b*a*c^-1*d*c^-1*b*c*d^-1*c^-1*\
a*c^-1*b*a^-1*c^-1*a*d^-1*a*b^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a*\
c^-1*a*d^-1*a*b^-1*a^-1,
  d*c*a^-1*d^-1*a*c^-1*a^-1*b^-1*a*d*a*b*d^-1*c*d*c^-1*a^-1*b*c^-1*b*c*d*b^-1\
*a*b*c^-1*b^-1*d^-1*a*d^-1*c*b^-1*c^-1*b^-1*a*d^-1*c^-1*(a^-1*d^-1)^2*a^-1*c*\
a*b^-1*a^-1,
  d^-1*a^-1*c^-1*d^-1*a^-1*c*a*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c^-1*b*a^\
-1*d^-1*c*a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*c^-1*b*c^-1*d^-1*b*a^-1*d*a^\
-1*c*d^-1*a^-1*b*c*a^-1*c*b^-1*a^-1,
  d^-1*a*b*c*d*b^-1*d*a^-1*c*b^-1*c*d*c*d^-1*b^-1*c^-1*a^-1*b*(d*a)^2*b^-1*a^\
-1*d^-1*b^-1*d*c*b^-1*a^-1*d*a*c*a^-1*b^-1*a^-1*d*c^-1*a^-1*(b^-1*d^-1)^2*a*c\
^-1*b^-1,
  d^-1*b*c*b*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*c*d^-1*b^-1*a^-1*b^-1*d^-1*b^-1*a^\
-1*c^-1*d^-1*a*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*a*c^-1*b^-1*c^-1*a^-1*d^-1*a^-1*\
d*a*b^-1*a^-1*(d^-1*b^-1)^2*c*d^-1*a^-1*c^-1,
  a*d*b*d^-1*c*b^-1*a^-1*d^-1*b*a^-1*b*c^-1*a^-1*d^-1*c*(b^-1*d^-1)^2*a*b*d^-\
1*a*c^-1*d^-1*a*b*c^-1*a^-1*d^-1*b*c^-1*d^-1*a*c*d^-1*c^-1*a^-1*d^-1*b*a*c^-1\
*a^-1*d^-1*b^-1*c^-1,
  b^-1*d*a*b*c^-1*d^-1*b*d^-1*a*b*c*b^-1*a^-1*d^-1*a^-1*b^-1*c^-1*b*c^-1*(d^-\
1*a)^2*c*b*d^-1*a*d*a^-1*d*b^-1*a^-1*c*b^-1*a*d^-1*a^-1*d^-1*b^-1*c*a^-1*d^-1\
*a*d*a^-1*c,
  b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*a^-1*d^-1*(a*d)^2*b^-1*c^-1*b^-1*a^-\
1*b^-1*d*a*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*c^-1*a*c^-1*b*c^-1*d^-1*b*a*d^-1*a^-1\
*d^-1*c*a*d*a*b^-1*c,
  d*a*c^-1*a*d^-1*a*c^-1*b*c*d^-1*a*b^-1*c*d^-1*b*d*c^-1*(d^-1*a)^2*(b^-1*a^-\
1*d^-1)^2*a*c^-1*b^-1*a^-1*c*d^-1*a^-1*b*a*c^-1*b^-1*c^-1*a^-1*d^-1*a^-1*d*b^\
-1*c^-1*b^-1,
  (a^-1*d)^2*a*c^-1*b*(d*a)^2*c^-1*a*d*b*a*c*d^-1*b*a^-1*d^-1*a*c^-1*d*a*b*a^\
-1*d*a*b*d*a*c*d^-1*a^-1*d*c^-1*a^-1*d*b^-1*a^-1*d*a*b*c*b^-1*c^-1,
  b^-1*d*a*c*b*c*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a*b*c^-1*d^-1*a*b^-1*a^-1*\
(d*b^-1)^2*c^-1*d^-1*c^-1*a*c^-1*(d^-1*b^-1)^3*a*c*d^-1*a^-1*c*d^-1*c*b^-1*d^\
-1*b*a^-1,
  d^-1*b*c*b*a^-1*d^-1*c^-1*d^-1*a*b^-1*d*b*d^-1*a^-1*d^-1*c^-1*a^-1*c^-1*b^-\
1*d^-1*a*b*c*d^-1*b*d^-1*a*b^-1*a^-1*d^-1*a^-1*c*d*a*c^-1*b^-1*c*b*d^-1*a*b^-\
1*c^-1*d^-1*b*d^-1*a*b,
  b^-1*d^-1*a^-1*b^-1*c^-1*b*c^-1*a*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1\
*b^-1*d*a*c^-1*d^-1*c^-1*b^-1*c^-1*a^-1*c^-1*d^-1*b^-1*c*b^-1*d*a*b^-1*c^-1*d\
^-1*b^-1*d*a^-1*c*d^-1*c^-1*a*b^-1*a^-1*d*a^-1,
  (d^-1*a^-1)^2*d*(a^-1*d^-1*c^-1)^2*a^-1*d^-1*b^-1*a^-1*d*c*a*c^-1*d^-1*c^-1\
*a*b^-1*c*b^-1*d^-1*a^-1*(b^-1*c)^2*a*d*b^-1*c^-1*d*a*b^-1*c^-1*b^-1*d^-1*b^-\
1*a^-1*c^-1*a^-1*b^-1*a,
  b^-1*c^-1*d*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d\
^-1*c*b^-1*a*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1*\
c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*a^-1*b*a*d^-1*a^-1*d,
  d*b*c*d*c^-1*b^-1*c*d*b^-1*c^-1*b^-1*a^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b\
^-1*a^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b*a^-1*c^-1*d*b^-1*(d*a)^2*\
c*d^-1*a^-1*d^-1*c*b^-1*c^-1,
  d*b^-1*d*c*b^-1*a^-1*d*c*b^-1*d^-1*b*d*c^-1*a^-1*b*d^-1*a^-1*c^-1*b^-1*c^-1\
*d^-1*a^-1*c*a*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b*c^-1*a^-1*b^-1*d^-1*b^-1*a^-1\
*b^-1*c*a*d*a^-1*b^-1*a^-1*c^-1,
  c*d^-1*c*b*a^-1*d*b^-1*a*d^-1*c^-1*b^-1*d^-1*a*c*b*c^-1*d^-1*a^-1*d*a^-1*c*\
d^-1*a*b*c^-1*d^-1*b^-1*d*a*b^-1*d^-1*a*b*a^-1*d^-1*b*c^-1*b^-1*d*a*b*c^-1*d^\
-1*b*d^-1*a*d,
  a*d*c^-1*a*c^-1*b*d*b^-1*a^-1*c*a*d^-1*a*b*a*c^-1*a*d^-1*b*c^-1*b^-1*a^-1*d\
^-1*a*b^-1*d*a*c^-1*d^-1*c^-1*a*d^-1*a*b*c*b^-1*d^-1*a*c^-1*b^-1*a^-1*d*a^-1*\
c^-1*d*a*b^-1,
  (b^-1*d)^2*c*b^-1*a^-1*d^-1*b*a^-1*d^-1*a*d*a^-1*b^-1*a*d*b*d*a*c^-1*d*c^-1\
*d^-1*a*c^-1*a*d^-1*c^-1*(b^-1*d^-1)^2*b*d^-1*b*c*d^-1*c^-1*a*d^-1*b*a^-1*c^-\
1*d^-1*a*d^-1,
  b*c*b^-1*a^-1*d^-1*a*b*d*a*c*d^-1*a^-1*b^-1*a*c^-1*b*c^-1*a^-1*d*a*d^-1*c*b\
*c*b^-1*d*c^-1*a*d^-1*c*b^-1*d*a^-1*b^-1*c^-1*b*c^-1*a*d*a*b^-1*d^-1*a^-1*b*a\
*d*a,
  b*c*d^-1*a*b*c^-1*d^-1*b*d^-1*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*a^-1*c^-1*b\
^-1*d*a*d^-1*c^-1*a*c^-1*b^-1*a^-1*c^-1*d^-1*a*c^-1*a^-1*b^-1*c^-1*d^-1*a*b^-\
1*c*d^-1*b^-1*d^-1*a^-1*c^-1*a*b^-1*a^-1,
  b*c*d*b^-1*d*a^-1*c^-1*a*b^-1*c*d*a*b*d*a*c^-1*d*a*b^-1*d^-1*a^-1*d^-1*a*c*\
b^-1*d*a*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*b^-1*d^-1*b^-1*c^-1*a*d^-1*a*d*c*\
a^-1*b*a*c,
  (d^-1*a^-1)^2*d^-1*b^-1*c^-1*b*c^-1*d*a*b*c*d^-1*b^-1*d*a*c*b^-1*a^-1*d^-1*\
b^-1*d^-1*c*b^-1*a^-1*d^-1*a^-1*c^-1*b^-1*a*d^-1*a*d*a*b^-1*a^-1*d^-1*b^-1*d^\
-1*c^-1*b^-1*a^-1*d^-1*c*b^-1*c^-1,
  d^-1*b*a^-1*c*b^-1*(a*d)^3*c*a^-1*d^-1*b*d^-1*c*b*a^-1*d^-1*b*c*b^-1*d*a^-1\
*(b*c)^2*d^-1*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a^\
-1*c*b^-1,
  d^-1*b*d^-1*a*b^-1*c*d*b*d^-1*b*c^-1*b*a*b*d^-1*b^-1*a^-1*d^-1*c*a^-1*b^-1*\
d^-1*b*d^-1*a^-1*(c*b)^2*d^-1*c^-1*b^-1*a^-1*b*d^-1*b^-1*d^-1*c^-1*a^-1*b*d*a\
^-1*c^-1*b^-1*c^-1*d^-1*b^-1,
  a*b^-1*d*c^-1*a*d^-1*c*b*d^-1*b^-1*d*a*b*a^-1*d*c*b^-1*a^-1*d*b^-1*d*c*b^-1\
*a^-1*d^-1*c^-1*a*c^-1*b*a^-1*c^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*b*d^-1*a\
^-1*d*b*a*d*c^-1,
  d*b^-1*a^-1*d*b*c*b^-1*a^-1*d*b^-1*a*d^-1*a^-1*d^-1*b^-1*c^-1*a*d^-1*a^-1*b\
^-1*d^-1*b*a*c^-1*d^-1*a*b^-1*d^-1*b^-1*a*b*c^-1*a*d^-1*c*a*(b^-1*d^-1)^2*a^-\
1*d^-1*b^-1*c^-1*d^-1*c^-1*a^-1,
  c^-1*d^-1*a*b*c*d*b*d^-1*b^-1*a*d^-1*b*d^-1*c*b*a^-1*d*c^-1*a*c^-1*d^-1*a*b\
^-1*a^-1*c^-1*a^-1*d*a*d^-1*b^-1*c^-1*b^-1*d^-1*b*a*d^-1*b^-1*a*c^-1*d^-1*b*d\
^-1*a^-1*c^-1*a^-1*d^-1*a^-1,
  b^-1*a*(b*d)^2*c*b^-1*a^-1*d^-1*b^-1*c*b^-1*d^-1*c*b*c^-1*d^-1*c^-1*a^-1*d^\
-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*b^-1*d*a^-1*(c^-1*b)^2*a*d^-1*a*b^-1*c*a*c*b^-1\
*a*d^-1*a*b*c^-1,
  d^-1*c^-1*a*b^-1*c^-1*b^-1*d^-1*b*a^-1*c^-1*a*b*c^-1*b^-1*a^-1*d*a*b*d^-1*a\
*c^-1*d^-1*c*a^-1*b*d^-1*b^-1*a*d^-1*b*a*c*d^-1*(b^-1*c^-1)^2*d*c^-1*b^-1*a^-\
1*d^-1*b*c^-1*a*b^-1*a^-1,
  c^-1*b*a*d^-1*c^-1*a*b*(c*d^-1)^2*c^-1*a*c^-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-\
1*a^-1*b*a*c*d^-1*a^-1*(b^-1*c^-1)^2*a*d*b^-1*c*d*a^-1*c^-1*d^-1*b^-1*c*b*c^-\
1*d^-1*a^-1*b,
  c^-1*d*b*a*d*a*b*c*d^-1*c*a*b^-1*d*a*b*c*(d^-1*b)^2*d^-1*c^-1*b*a^-1*d^-1*a\
^-1*b^-1*d^-1*b^-1*(a^-1*d)^2*a*b^-1*a^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d\
^-1*c^-1*a,
  d*c*a*d^-1*a*b^-1*c^-1*a^-1*d*c^-1*a^-1*b*c^-1*d^-1*b^-1*c^-1*b*a^-1*d*a*b^\
-1*d*a*c*d*c^-1*d*a^-1*b^-1*a^-1*c^-1*a^-1*d^-1*a*c^-1*(b^-1*d^-1)^2*a*b*c^-1\
*d^-1*b^-1*d*c^-1*a^-1,
  d*c^-1*b*a^-1*d^-1*b^-1*c^-1*(b^-1*d*a)^2*b^-1*a^-1*d^-1*a*b*a^-1*d*a*b*c^-\
1*a*d*a*d^-1*a*b^-1*a*d*b^-1*d*c^-1*b*a^-1*d*b^-1*c*a*d*c^-1*b*a*b^-1*c^-1*a,
  c*a*b*a^-1*d^-1*b^-1*c^-1*b^-1*c*d*a*b^-1*d^-1*a*b^-1*c*b^-1*d^-1*a^-1*c^-1\
*b^-1*a*d^-1*a^-1*d*a*c*b^-1*d^-1*a*d^-1*b*a*c*b^-1*c^-1*d^-1*c*b^-1*a^-1*d^-\
1*a^-1*b^-1*d*a*b^-1*a^-1,
  c^-1*b*c^-1*d^-1*b*d^-1*c*b*a^-1*d^-1*a*b^-1*a^-1*c^-1*d^-1*c^-1*a*b^-1*c^-\
1*a*d^-1*c*a*b^-1*a*d*c^-1*d^-1*a*d^-1*c^-1*a*b*a^-1*d*b*a^-1*d^-1*c^-1*a^-1*\
d*b^-1*a^-1*d^-1*a^-1*b^-1*a^-1,
  c^-1*b^-1*a*d*c*b^-1*a*b*c*a^-1*d^-1*a*c^-1*b*a^-1*b^-1*d*b*c^-1*b*a^-1*d^-\
1*a*b*d*a*c^-1*d*c^-1*b^-1*c*a*b^-1*a*d^-1*b^-1*(d*a)^2*c^-1*d*c^-1*a*b^-1*c^\
-1*d,
  b^-1*d*a^-1*c*a^-1*b*a*d*a*b^-1*d^-1*a*c*d^-1*a*b*d^-1*a*b^-1*c*d^-1*b*d^-1\
*a*b^-1*c*a^-1*(b^-1*d^-1)^2*a*b*d^-1*a^-1*c^-1*b^-1*a^-1*d*b^-1*d^-1*b^-1*c^\
-1*d^-1*a^-1*c*a^-1*d^-1,
  a*d*a*d^-1*c*a^-1*b^-1*c*d^-1*a^-1*b^-1*c*b^-1*a^-1*d^-1*a*b^-1*c^-1*d*b*d^\
-1*b^-1*c*b^-1*c^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*c^-1*\
d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1*d,
  b^-1*d*c^-1*a*d^-1*c*b*d^-1*b^-1*d*b^-1*a^-1*b^-1*d^-1*a^-1*b*c^-1*a^-1*d^-\
1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*b^-1*a^-1*b^-1*c*d^-1*a*c*d*c^-1*b^-1*\
c*a^-1*c*d*a*b^-1*d*a*c*d*a,
  c*b^-1*a*d^-1*b*c*d^-1*a^-1*(b*c)^2*d^-1*c*b^-1*c^-1*d^-1*a^-1*d*c^-1*b^-1*\
a*b^-1*c^-1*a^-1*b^-1*a*(d*a^-1)^2*d^-1*b^-1*c*a^-1*d^-1*c*d^-1*a^-1*c*d^-1*(\
b^-1*c^-1)^2*d^-1*a^-1*b,
  c*d*a*c*b*d*b^-1*a^-1*d*a^-1*b^-1*d*b^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*d*a*c*d\
^-1*a^-1*d^-1*c*b*c^-1*b^-1*d^-1*c*a*d*c^-1*(a^-1*d^-1)^2*b^-1*a^-1*d*a*(b^-1\
*d^-1)^2*a^-1*d,
  a*c^-1*b*d*a*b*c*d*b*d*a*b^-1*a*d^-1*c^-1*a^-1*d^-1*a^-1*b*a*b^-1*d^-1*a*b^\
-1*c^-1*d*b^-1*d*a^-1*c^-1*a*b^-1*d^-1*a*d^-1*c^-1*b^-1*d*c^-1*b^-1*a*c*a^-1*\
d^-1*b^-1*d*a*d,
  d^-1*a^-1*c^-1*b^-1*d^-1*c^-1*b*c*a^-1*b^-1*a*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^\
-1*b*c^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*c^-1*d^-1*a^-1*b*a*c^-1*a*b*(a^-1*d^-1)^\
3*c*b^-1*c^-1*a*b^-1*c^-1*d^-1*a,
  a^-1*d*a^-1*b*d*b*a*d*a^-1*d^-1*b^-1*c^-1*a*d^-1*b*a^-1*d^-1*b^-1*d^-1*c*(b\
*a^-1*d^-1)^2*a^-1*d^-1*a^-1*b^-1*d*b^-1*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*\
a*b^-1*a^-1*d^-1*a^-1*c^-1*d,
  d^-1*b*d^-1*c^-1*b*a*d*c^-1*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*(d*a^-1*\
b^-1*c^-1)^2*d*a*b^-1*c^-1*d^-1*b*a^-1*d^-1*c^-1*a^-1*(d*a)^2*d^-1*b^-1*d^-1*\
c^-1*a^-1*c^-1*d^-1*c^-1*b^-1,
  d^-1*b^-1*d^-1*c*b*c^-1*a*d*a^-1*c^-1*b^-1*d^-1*a*c*(d*a*b^-1)^2*c^-1*d^-1*\
b^-1*d*b^-1*c^-1*a*c^-1*b^-1*d^-1*c*a^-1*b^-1*d*b^-1*d^-1*c*a*c^-1*b^-1*a^-1*\
d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1,
  d^-1*c*b^-1*c*d^-1*c*b^-1*a^-1*d*b*c^-1*d^-1*a*b*c^-1*b^-1*d*a*b*c^-1*d^-1*\
b^-1*d*a^-1*b*a*d^-1*c^-1*a^-1*d*b^-1*c*a*c*b^-1*a^-1*d^-1*c*b^-1*a*b^-1*c^-1\
*(a^-1*d^-1)^2*a^-1*b,
  a^-1*c*d^-1*c*b^-1*c^-1*a*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*c^-1*a*c^-\
1*d*b^-1*a^-1*c*b^-1*c^-1*a^-1*c^-1*b^-1*(d^-1*a)^2*c*a*b^-1*c^-1*b*a^-1*d^-1\
*a*b^-1*d*a*c^-1*d^-1*c^-1*a^-1*d,
  a^-1*c*b^-1*c*d*a*b*c^-1*d^-1*b*d^-1*a*d*b*a*b*d^-1*b^-1*d*c^-1*b^-1*a^-1*d\
*b^-1*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*a^-1*d*(b^-1*d^-1)^2*c*a^-1*b*\
d^-1*a^-1*c^-1*b^-1*c^-1,
  a^-1*c^-1*d^-1*a*b*c*d*b*d*c^-1*b^-1*c^-1*a^-1*b*a*d^-1*c^-1*a*b^-1*c^-1*a^\
-1*d^-1*b^-1*d^-1*b*a*c^-1*d*a*b*d^-1*a^-1*b^-1*c^-1*d^-1*a*d*a^-1*b^-1*d^-1*\
b^-1*c^-1*a^-1*b*a*d*a*b^-1,
  b^-1*c*b^-1*d^-1*a*b*c*d^-1*b^-1*d*a*c*b*(a*d^-1)^2*c^-1*b*c*a^-1*d^-1*b^-1\
*a*c^-1*b*d^-1*b^-1*c^-1*b^-1*a^-1*d^-1*a^-1*c*a^-1*b*(d^-1*b^-1*a)^2*c^-1*d^\
-1*c^-1*b^-1*c^-1*d,
  a^-1*c^-1*b^-1*a^-1*d*b*d*c^-1*b^-1*a^-1*d^-1*(c^-1*b^-1)^2*d^-1*c^-1*a^-1*\
d^-1*b^-1*a^-1*d*a*b^-1*c^-1*b^-1*d^-1*a*d^-1*b^-1*c*a*b^-1*d^-1*a^-1*b^-1*c^\
-1*b^-1*a*d^-1*b^-1*c*b^-1*c^-1*d^-1*c^-1*a*d^-1,
  b^-1*a^-1*d*b^-1*c^-1*b^-1*a^-1*d*c*a*d^-1*a*b*d^-1*a*c*d*c^-1*d*b^-1*c*b^-\
1*a^-1*d^-1*a*b*d*a*c*d^-1*b*a^-1*c*d^-1*b*a*d^-1*a^-1*d^-1*c^-1*b^-1*a*d^-1*\
c^-1*b*d*c^-1*a,
  b*c^-1*a^-1*d^-1*b*d*c^-1*b*a^-1*d^-1*b^-1*a^-1*b^-1*d*b*d^-1*c^-1*b^-1*a^-\
1*d*b^-1*c^-1*d*a^-1*d^-1*a^-1*d*b^-1*c^-1*b*a*d^-1*c^-1*a^-1*b^-1*d^-1*b^-1*\
c^-1*a*d^-1*b*d^-1*a*b^-1*d^-1*a*c^-1*d,
  d^-1*(a^-1*d)^2*c^-1*d^-1*a^-1*d*a*b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*b^-1*c^\
-1*d*a*b*c*d*b^-1*d^-1*b*a*c*d^-1*b^-1*d*c^-1*a^-1*b*d*a^-1*c^-1*b^-1*c^-1*d*\
b^-1*c*b^-1*a^-1*c,
  c^-1*a^-1*d^-1*c*d^-1*a*b*c*d^-1*b^-1*d^-1*a^-1*b^-1*c^-1*b*a^-1*c^-1*d^-1*\
b^-1*a^-1*d^-1*c*a^-1*b^-1*d*c^-1*d^-1*a*b*d*a*c*d^-1*a*b*c^-1*d^-1*c^-1*a^-1\
*d^-1*c^-1*b*c^-1*a*b*a^-1*d^-1*b,
  c^-1*a*b*c*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*b^-1*a*(b^-1*d^-1)^2*c^-1\
*b^-1*a^-1*d^-1*c*b*a^-1*c^-1*d^-1*a*b^-1*d*a*c^-1*d^-1*a^-1*c*a*b^-1*a^-1*d*\
c*a^-1*b*d^-1*b^-1*d^-1*a^-1*b,
  d^-1*c*b^-1*a^-1*d*b^-1*c*a^-1*b*a*c^-1*d*b^-1*c*d^-1*a^-1*c^-1*d^-1*b^-1*c\
^-1*b^-1*c*d^-1*b^-1*a*c^-1*d*b^-1*d^-1*a*b^-1*d^-1*a^-1*c^-1*d^-1*a*c*b^-1*d\
*b^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*b^-1,
  b*c^-1*d^-1*a*b*c*d*b*d^-1*b^-1*a^-1*c^-1*b*c^-1*a^-1*b^-1*d^-1*a^-1*d^-1*b\
^-1*c^-1*d*a^-1*b^-1*a^-1*d^-1*a*c*a^-1*d*a^-1*c^-1*a^-1*d^-1*c*b^-1*c^-1*a*d\
^-1*b*a*c^-1*d^-1*b^-1*d*b^-1*a^-1*c,
  b*a^-1*c^-1*b*d*a*b^-1*c*d*b*d^-1*a^-1*b*a*c^-1*b^-1*c^-1*d^-1*a*b*a^-1*d^-\
1*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b*(a*d)^2*c^-1*a*c*d^-1*c*a*d\
*c^-1*b^-1*a,
  d^-1*b^-1*c^-1*a*b*(a*d^-1)^2*b*c^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*c^-1\
*b^-1*a*d*a*b^-1*a^-1*c^-1*d^-1*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*b\
*a^-1*b^-1*d*a*c*a^-1*b^-1*d^-1*c^-1,
  d^-1*b^-1*d^-1*c*b*a^-1*d^-1*b^-1*a*c*a^-1*d^-1*a^-1*c^-1*b*c*b*d^-1*a^-1*b\
^-1*a*d^-1*a*b*d^-1*c*(b^-1*a^-1*d^-1)^2*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*d*\
a*d*b^-1*c^-1*a^-1*c^-1*b^-1,
  a^-1*c*b^-1*a*(c*d^-1)^2*a*b*c^-1*d^-1*b^-1*d^-1*b*c^-1*b^-1*a*c^-1*d^-1*a^\
-1*d*a^-1*c*a^-1*d^-1*c*b^-1*a^-1*c^-1*a*d^-1*a*c^-1*a*b^-1*c^-1*b^-1*d^-1*a*\
b*c^-1*d^-1*b*d^-1*a*b*a*d^-1,
  b*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d*c^-1*b^-1*d^-1*b*a*c*b^-1*c*d^-1*b^-1*d^-1\
*c^-1*d*c^-1*a^-1*c*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*a^-1*b^-1*d^-1*b*c^-1*b\
*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c*a^-1,
  a^-1*d^-1*a*b^-1*a^-1*d^-1*b*d^-1*b^-1*c^-1*d*a^-1*c*a^-1*b*d*c*a*c*b^-1*c*\
a*d^-1*a*b*d^-1*a*b^-1*a^-1*d*b^-1*d^-1*a^-1*c*b^-1*a*b^-1*d^-1*b^-1*a*b^-1*c\
*d^-1*a^-1*c^-1*a^-1*b^-1*a*d,
  d^-1*a^-1*b*a*c*d*b^-1*a*d*a*d^-1*a^-1*b^-1*a^-1*d^-1*b*a*d^-1*b^-1*a*c*d^-\
1*c^-1*b^-1*c*d^-1*a^-1*b^-1*c*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1\
*b^-1*d^-1*c*a*b*d^-1*b^-1*d^-1*b*a,
  d*a*b^-1*c*d*b^-1*d*a^-1*b^-1*c*b^-1*d*a^-1*d*b^-1*c*a*d*c*a*c*d^-1*b^-1*d^\
-1*c*b^-1*c^-1*d^-1*a*b*c^-1*(d^-1*b^-1)^2*d*a^-1*b*a*c^-1*d^-1*a*b^-1*c^-1*d\
*a*b^-1*c^-1*a^-1,
  b*a^-1*d^-1*a^-1*c*b*c*a^-1*c*d*a^-1*c*a*b^-1*d^-1*a*b*c^-1*(d^-1*b)^2*a^-1\
*c^-1*d*a*d*c^-1*(a*d)^2*c^-1*b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*d^-1*a*c*b^\
-1*d*b^-1*d^-1,
  a*b^-1*c^-1*b*d*a*b^-1*c*(d*b^-1)^2*d^-1*b^-1*c*b^-1*c^-1*d^-1*a^-1*b^-1*d^\
-1*a^-1*b*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*c^-1*b^-1*c*d^-1*b^-1*d*c^-1*a*c^\
-1*b^-1*a^-1*d*b*a*b^-1*c^-1*d^-1*b,
  d^-1*b*(c*d^-1)^2*a^-1*c*a^-1*d^-1*a^-1*c*d^-1*(b^-1*c)^2*d^-1*a*c^-1*d^-1*\
a*b*c^-1*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1*a^-1*(b^-1*d^-1)^3*b*d^-1*c^-1*a^-1*b^\
-1*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*c,
  c^-1*d*c^-1*b^-1*d*a*b^-1*c^-1*b*d^-1*a*d*b*c^-1*b^-1*a*d^-1*b^-1*a*b*c^-1*\
a^-1*b^-1*d^-1*a*d*a^-1*b*a^-1*c*b^-1*d^-1*(a*d)^2*c^-1*a^-1*d^-1*c*a*b^-1*c^\
-1*b*c^-1*(d^-1*a)^2,
  d*b^-1*d*c*b^-1*a^-1*d*b*c*b*a^-1*c*(d*b^-1)^2*c*d^-1*c^-1*a*c^-1*d^-1*b^-1\
*d^-1*c*a^-1*d*b^-1*a^-1*d^-1*c^-1*b^-1*a^-1*c*d*b^-1*c^-1*b^-1*d*a*b^-1*c*d*\
b^-1*d*a*b^-1*c^-1*a,
  c^-1*d*c*b*d*c^-1*a*b^-1*a^-1*c*d*c^-1*a^-1*d^-1*b*a^-1*d*a*b^-1*(c^-1*b^-1\
*d)^2*a^-1*c^-1*a*b*a^-1*c^-1*d^-1*a*c^-1*a*d^-1*a^-1*b*a*c^-1*a*d^-1*a^-1*c^\
-1*d*a*b^-1*c*a,
  d*b*a^-1*(d^-1*b)^2*c*d^-1*a^-1*c*a^-1*(d^-1*b^-1)^2*c^-1*(d^-1*b^-1)^2*c*a\
^-1*d*b*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*d^-1*c^-1*b^-1*a^-1*(d^-1*c^\
-1*b^-1)^2*a*d*a^-1*c,
  d^-1*c^-1*a*c^-1*d*b*c*d^-1*c^-1*a*b^-1*c^-1*(d^-1*a^-1)^2*d*a^-1*(d^-1*b*a\
)^2*c*(d^-1*c^-1*b^-1*c^-1)^2*d^-1*a*d^-1*a^-1*b^-1*a^-1*c^-1*d^-1*a*b*c^-1*d\
^-1*b*d*a*b^-1,
  d*b^-1*d*c*b^-1*a^-1*d*b*c*b*d^-1*b^-1*c*d^-1*c^-1*a*b^-1*c*b^-1*d^-1*a*b^-\
1*c*d*b^-1*d^-1*b*a^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*b^-1*d^-1*c^-1*\
a^-1*b*d^-1*b^-1*d^-1*a^-1*c*b^-1*a^-1,
  c^-1*b*(d*a^-1)^2*d*c*a^-1*d*c^-1*a^-1*d*a^-1*c*a*b*a*c^-1*a^-1*d^-1*a*d^-1\
*c*a*d^-1*c^-1*(b^-1*d^-1)^2*a*b*d^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*a*b*c*d^-1*b\
^-1*d^-1*a*b*a^-1,
  d*(c*b^-1)^2*a*(d^-1*b^-1)^2*c*d^-1*c^-1*a*(c^-1*d^-1)^2*c*a*b^-1*a^-1*d^-1\
*c^-1*b*d^-1*c*d^-1*a*c^-1*d^-1*a^-1*b^-1*c*d^-1*a*d*a^-1*c^-1*b^-1*d^-1*a*b^\
-1*c*d^-1*b*d^-1*b^-1*a^-1,
  a^-1*c*b^-1*d^-1*a*d*b*a*c^-1*a^-1*d*a*d^-1*a*d*a*b^-1*d^-1*b*d*c^-1*b^-1*a\
^-1*d^-1*b*c*d^-1*b*c^-1*d*c^-1*a*d^-1*c^-1*d^-1*a*d^-1*(b^-1*c^-1)^2*a^-1*b*\
d^-1*a^-1*d^-1*b^-1*c^-1*d,
  a^-1*b^-1*c*a*b*d^-1*c^-1*d^-1*a*b*a^-1*d^-1*a*c^-1*(b*d^-1)^2*c*b*a^-1*d*b\
*d^-1*c^-1*b*a^-1*d^-1*b*d^-1*c^-1*(b^-1*a^-1*d^-1)^2*a^-1*c^-1*a*b*d^-1*b^-1\
*a*(d^-1*a^-1)^2*d,
  d^-1*b*d^-1*a*b^-1*d*c*a^-1*d*a^-1*c*b*a^-1*b^-1*c^-1*a^-1*d*a*d^-1*c^-1*a^\
-1*b*d^-1*c^-1*a*d^-1*(b^-1*c)^2*d^-1*c^-1*a*d*a*c^-1*a*b*c^-1*(b^-1*d^-1)^2*\
c^-1*a^-1*c*d^-1*c^-1*b,
  (d*a)^2*c*b*c*(a*d^-1)^2*b*c^-1*b^-1*c^-1*d*a*b*c*d*b*d*b^-1*c*a*c*b^-1*a*d\
*a*c^-1*d^-1*b^-1*a*b*d^-1*b^-1*a*d^-1*b*a^-1*d^-1*a*b*c*b*c^-1*a^-1*b,
  a*d*c^-1*d^-1*a^-1*d^-1*a*b*c*a*c*d^-1*c^-1*a*c^-1*d^-1*c*b*d*c^-1*a*b^-1*c\
^-1*b^-1*d^-1*c^-1*b^-1*c*a^-1*d^-1*b^-1*c^-1*d^-1*c^-1*b*a^-1*d*a^-1*c*a*d^-\
1*c^-1*a^-1*b^-1*d*c^-1*a^-1*b^-1*c^-1,
  b*d*b^-1*d^-1*c^-1*a*c^-1*d^-1*a^-1*c^-1*d*a*b^-1*d^-1*a*(c*d^-1)^2*a*b*c^-\
1*d*b^-1*d^-1*a*b^-1*a*d^-1*a^-1*b^-1*c*b^-1*c^-1*a*d^-1*b^-1*c^-1*a^-1*d^-1*\
a^-1*b^-1*c^-1*b*a^-1*d^-1*a^-1*c*b^-1*d,
  d*a*c*d*a*c^-1*a^-1*d^-1*(b^-1*c)^2*d*c*a*d^-1*b*c^-1*b^-1*(a^-1*d^-1*c^-1)\
^2*a^-1*d^-1*b*a^-1*d^-1*c^-1*d*a^-1*c*a*d*a^-1*b^-1*a*d^-1*a*c^-1*b^-1*(d*a^\
-1)^2*c*a*b,
  d*a*d*b^-1*d*a*(b*c)^2*a*d^-1*b*c^-1*a*c^-1*b^-1*d*a*d^-1*a*d*b*a*d^-1*a^-1\
*b^-1*d^-1*b^-1*c*d*c*a^-1*d^-1*b^-1*a*c*d^-1*b^-1*c^-1*b^-1*d*a*d^-1*c*b*c^-\
1*b*d^-1*c^-1,
  d*a*b*c*(d^-1*b^-1)^2*d*b^-1*d^-1*c*b*a^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d*(a*d^\
-1)^2*c^-1*b^-1*a^-1*d^-1*c^-1*(a*d)^2*b^-1*c*a^-1*b*a^-1*d*b^-1*a^-1*d*a*b^-\
1*d*a*c*d^-1*a*c,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*a^-1*b*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-\
1*c^-1*d*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*d^-1*c^-1*b^-1*c*b*d^-1*a*b*c^-1*d^-1\
*b^-1*d^-1*a*b^-1*a*d^-1*c^-1*b^-1*a^-1*c^-1*a,
  a*b*a^-1*d*b^-1*d*a^-1*d^-1*a^-1*b*a*d*c^-1*d*a*c^-1*a^-1*b*d*b*c*d*b^-1*a*\
c*d^-1*c^-1*b*a*d^-1*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a*(c^-1*d^-1)^2\
*a^-1*c^-1*b^-1*d^-1*c^-1,
  c^-1*b*(d*a^-1)^2*d^-1*a^-1*d*a*b^-1*c^-1*b*a*d*c^-1*b^-1*a^-1*d^-1*b*d*b*a\
*c^-1*d*a^-1*c*a*b*a*d*a*c*d^-1*b^-1*a^-1*b^-1*d^-1*c^-1*b^-1*c^-1*a*d*a*b*c^\
-1*d^-1*b^-1*d^-1*a^-1,
  a^-1*c^-1*b*a^-1*d^-1*a^-1*b*a*d^-1*b*a^-1*b*d*b*c*b*d*a*b^-1*c^-1*d^-1*b^-\
1*d*a*c*b^-1*a^-1*c^-1*d*c^-1*b^-1*(d^-1*b)^2*a^-1*b^-1*d^-1*b^-1*a*b*d^-1*a*\
b^-1*d^-1*a*c^-1*d^-1*b^-1*d^-1,
  b^-1*c^-1*b^-1*a*d^-1*a*b^-1*c*d*a*b*c*d^-1*b^-1*d*a*b^-1*a^-1*d^-1*c^-1*d^\
-1*a^-1*d^-1*b*a^-1*b^-1*c*a^-1*d*a^-1*d^-1*a^-1*b*a*d*b^-1*a*d*a*d^-1*c^-1*b\
*d*a*(c*d^-1)^2*a*c,
  a^-1*b*c^-1*a*d*c^-1*b*c^-1*d^-1*c*a^-1*d*b*a^-1*d*a*b^-1*c^-1*b*c^-1*a*b*d\
^-1*a*c^-1*b*a*b*c^-1*d*a^-1*c*a*d*a^-1*b^-1*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-\
1*a*b*a*c^-1*a*d,
  b*d*b^-1*d^-1*c*a^-1*b*d^-1*a^-1*c*b^-1*c^-1*d^-1*b^-1*c^-1*d*a^-1*b*c^-1*b\
^-1*a*d^-1*a^-1*c*a*b^-1*a*c^-1*d^-1*c*a*d^-1*c^-1*a^-1*b*d^-1*b^-1*c^-1*d*b^\
-1*c^-1*a^-1*b^-1*d^-1*c^-1*b^-1*a*b*d^-1*c^-1,
  c*b*a^-1*d*a^-1*c^-1*b*c*d^-1*a*b^-1*c^-1*d^-1*b*d*b*a^-1*c^-1*b^-1*a*d^-1*\
a^-1*d*a*c^-1*a^-1*b^-1*a^-1*c*a*d*a*(c^-1*d)^2*a^-1*c^-1*b*d^-1*a*d*b^-1*a*c\
^-1*b^-1*c^-1*a^-1*d*b^-1,
  c*d^-1*a^-1*b^-1*c^-1*d*a*d*a^-1*b*d^-1*c*b*a^-1*d*a*b*d*a*c*d^-1*c*a^-1*b^\
-1*a^-1*d^-1*b*d*b*a*c^-1*d^-1*a*b^-1*c^-1*a*d*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c\
^-1*b^-1*d^-1*b^-1*c^-1*b^-1,
  a*(c^-1*d^-1)^2*(a*d^-1)^2*b^-1*a^-1*d^-1*b*a^-1*c*a^-1*b^-1*c^-1*d*a*b^-1*\
c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c*d^-1*a*c*d^-1*a^-1*d^-1*c\
^-1*a^-1*d*a^-1*c*a*b^-1*d*a*c*d^-1*c,
  (d^-1*b^-1)^2*a*c^-1*d^-1*a^-1*c*d^-1*c*b^-1*a^-1*d^-1*a^-1*b*d^-1*b^-1*c^-\
1*b*a*c^-1*d^-1*b^-1*c^-1*d^-1*b*d^-1*a*c*d^-1*b*d^-1*c^-1*b*a^-1*d*a^-1*d^-1\
*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*b^-1,
  b*d^-1*a*b^-1*c*d*b*d^-1*a*b^-1*a^-1*d^-1*a*b^-1*d*a*c^-1*d*c^-1*b*d^-1*b*a\
^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*d^-1*a*d*a*b*a^-1*d^-1*b*a^-1*d*c^-1\
*d*a*b*d*a*c^-1*d*c^-1,
  d^-1*b*a*d*a*b^-1*c^-1*d^-1*b^-1*a^-1*c^-1*b^-1*d*a*b^-1*c*(d^-1*b^-1)^2*c*\
a^-1*b^-1*a^-1*d^-1*c*a^-1*d^-1*b*a^-1*d*a*b^-1*c*a^-1*(d^-1*b^-1)^2*(c^-1*d^\
-1*a^-1)^2*d^-1*b^-1*c*a^-1*b,
  d*b*d^-1*c^-1*b*a^-1*d^-1*c^-1*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d*c^-1*a^\
-1*b^-1*d*a^-1*c^-1*b^-1*c^-1*d*a^-1*b^-1*a*d*a*b^-1*d*a*c^-1*d^-1*c^-1*a*b*a\
^-1*(d^-1*b^-1)^2*c^-1*d^-1*a^-1*c*d^-1*a^-1*b^-1,
  d^-1*a^-1*(d^-1*b)^2*a^-1*c*a*d^-1*c*a^-1*b^-1*a^-1*d*b*d*c*a*b*c*d^-1*c*a*\
c*b^-1*d^-1*b*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*b^-1*a^-1*d^-1*a*d*a*b^-1*d*a^-1\
*d^-1*a^-1*b^-1*c*a,
  d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*d^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1\
*a^-1*d*a*b^-1*d^-1*a*b^-1*c*d^-1*b*d*b^-1*a^-1*b^-1*(d*a)^2*d^-1*a^-1*b^-1*a\
^-1*d^-1*a*b^-1*c*d^-1*b*d^-1*a^-1*c*b^-1*a^-1,
  a^-1*d*c*a*b*a^-1*d^-1*a^-1*c^-1*a*d^-1*a^-1*b^-1*d^-1*a*b*c*d*b^-1*d^-1*b*\
c*b*c^-1*a^-1*c^-1*d*b^-1*d^-1*b*c^-1*d^-1*c^-1*a*c^-1*d*c^-1*d^-1*b*a^-1*d*b\
^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c,
  d^-1*b^-1*a^-1*c^-1*a*d*b^-1*d^-1*b*d*a^-1*d^-1*b^-1*a*b^-1*c^-1*b^-1*d^-1*\
a*d^-1*b^-1*a*b*c^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*b^-1*a*c*b^-1*c^-1*a^-1*d\
*a*b^-1*d^-1*a*c*d*b^-1*a^-1*b^-1*c^-1*a^-1,
  c*b*a^-1*d*b*a*c*d*c*a^-1*d^-1*b^-1*a^-1*d^-1*c*b^-1*a*b*c^-1*a^-1*d^-1*a*b\
^-1*a^-1*c^-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*b^-1*c*b^-1*d*a^-1*b*c*b^-1*c\
^-1*a*d^-1*a*b*c^-1*d^-1*b^-1*c*a^-1,
  a^-1*d*a^-1*(c^-1*b^-1)^2*a*d*c*b^-1*c*d^-1*a*b^-1*c^-1*d*b*d*b^-1*(a^-1*d)\
^2*a*b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d^-1*c^-1*b*d^-1*b^-1*c^-1*b*d*a*b^-1*c^-\
1*d*b*d*a*b^-1*c^-1*b,
  a*d^-1*a*b*c*d^-1*b^-1*d^-1*b*d^-1*a^-1*b^-1*c*b^-1*a^-1*(d^-1*a)^2*d*a*c*(\
b^-1*a*d)^2*a*d^-1*c*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*c*a^-1*d^-\
1*b^-1*d^-1*a^-1*c^-1*a*b,
  a*d^-1*a*d*c*b^-1*c*a^-1*b^-1*a*d*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*a^-1*c^-1*\
d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*c*b^-1*(a*d^-1)^2*b*d^-1*a*c*a^-1*b*c*b*d^-1*b\
^-1*c^-1*a*c^-1*b^-1*d^-1*b^-1,
  d^-1*c^-1*a*b^-1*a^-1*d^-1*b*d*c^-1*b^-1*a^-1*d*a*c*b*c^-1*(b*d^-1*a)^2*b*a\
^-1*d^-1*a^-1*d*b^-1*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*(b^-1*d^-1)^2*c^-\
1*b*a^-1*d^-1*b*c^-1*b*d^-1*a*b^-1,
  a^-1*c*b^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c*a^-1*d*a*d^-1*b^-1*d*c*b^-1*a^-1*d*c\
^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*a^-1*c^-1*d^-1*a^-1*c*b^-1*d^-1*\
b^-1*a*d*b^-1*a*c*d*c^-1*b^-1*c*d^-1*b*c^-1*d,
  d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b*c*a*d^-1*c*a*b*a^-1*d^-1*c^-1*a*d*a*b^-1*c*a\
^-1*d*b^-1*c*b^-1*a^-1*d^-1*a*b^-1*d*a*c^-1*d*a*c*d*a*b*c^-1*a^-1*d*a^-1*c*d*\
b^-1*a^-1*c*b^-1*a,
  d^-1*a^-1*b*c^-1*b*c*a*d*a^-1*c^-1*b^-1*a*d*a^-1*d*b^-1*a^-1*c*a^-1*b^-1*a^\
-1*d*c*d*b*d*a^-1*b*c^-1*b^-1*a*d^-1*(b^-1*c^-1)^2*d^-1*c*a*d^-1*c^-1*b^-1*d^\
-1*a*c*d*a^-1*b^-1*c^-1*b*c^-1,
  a^-1*b^-1*a^-1*d*b^-1*d^-1*c*b*a^-1*d^-1*b^-1*c^-1*b*c^-1*d^-1*a^-1*b^-1*a^\
-1*c*d*c*b*a^-1*d^-1*a^-1*b^-1*d^-1*a*c^-1*b^-1*a^-1*c*d^-1*b*a*c*d^-1*b^-1*d\
^-1*a^-1*b^-1*a^-1*d^-1*a*c^-1*d^-1*c*a*b^-1*a^-1*d,
  d*a^-1*c^-1*d*c^-1*b*c*b*d*a*b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d*a*b^-1*a^-1*d^\
-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*c^-1*b^-1*\
c^-1*a^-1*d^-1*c^-1*d^-1*a*c^-1*b^-1,
  d*a*b^-1*c^-1*d*b*d^-1*b^-1*a^-1*c*b^-1*c*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*b^-1\
*a^-1*b^-1*d^-1*b^-1*a*b^-1*c*a*d^-1*b^-1*a*c*b^-1*c^-1*b*a^-1*d*a*b^-1*d^-1*\
a*c^-1*d^-1*a*b^-1*c^-1*d^-1*a^-1*c^-1*b*a^-1,
  c^-1*d^-1*b^-1*d*c^-1*a^-1*b^-1*a*d*a*c*b^-1*a^-1*d*a^-1*c^-1*d*(a*d*c^-1)^\
2*b^-1*d^-1*b*d^-1*a*b*a*d^-1*c^-1*(a^-1*d)^2*a*d*(c^-1*b^-1)^2*d^-1*a^-1*b*a\
*d*c^-1*d*a*b^-1,
  c^-1*b^-1*d*b^-1*a*(c^-1*b)^2*a^-1*d^-1*a*b*d^-1*b^-1*c^-1*b^-1*a^-1*d*c*a*\
d^-1*a*b^-1*c^-1*b^-1*d*b^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b\
^-1*d^-1*c*a^-1*d*c^-1*a^-1*d*a^-1*b*d^-1*a*b,
  b^-1*a^-1*d*a^-1*b*c*b^-1*c^-1*a*d*c*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1\
*b*a^-1*d^-1*a^-1*c^-1*a*b^-1*d^-1*b^-1*a*c*b^-1*c^-1*d^-1*a^-1*c^-1*a*d^-1*a\
^-1*b^-1*c*a^-1*d*a*b^-1*d*a*c*d^-1*c^-1*a,
  c*a*d*a^-1*d*b*a*c^-1*b^-1*c*(a^-1*d)^2*b*c*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b*\
c*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a*b^-1*c^-1*(d^-1*b)^2*a*c^-1*d*a\
*b*a^-1*c^-1*a*b*d,
  a*b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d^-1*c*a*d^-1*a*b^-1*d*a*c*d^-1*a*d*a^-1*d^\
-1*a^-1*c*a*b*a^-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*b*a^-1*c^-1*a*b*a^-1*d*a\
*b^-1*c^-1*d^-1*b^-1*d^-1*c,
  d*b^-1*d*a^-1*b*a*c^-1*b*d*a*b^-1*c*d*b^-1*d^-1*b^-1*a^-1*b^-1*d^-1*c*d^-1*\
c^-1*d^-1*a^-1*d^-1*a*b^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d\
^-1*b^-1*a*b^-1*d*b^-1*(a*d^-1*c)^2*b^-1,
  d^-1*a^-1*b*c^-1*d^-1*a^-1*d*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*b*c*a^-1*b^-1*d^-\
1*a^-1*c^-1*b*a^-1*b^-1*d*c*b*a*c*d^-1*b^-1*a^-1*b^-1*c^-1*d*a*b*c^-1*d^-1*b*\
d^-1*b^-1*a^-1*b^-1*d^-1*b^-1*c^-1*a*c*b^-1*a,
  b*c^-1*d*c^-1*a^-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*b^-1*a^-1*d*c^-\
1*d*a*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b*d*b^-1*a^-1*b^-1*d^-1*b^-1*a*d*b^-1\
*a^-1*d*b^-1*d*c^-1*b*a^-1*d*b^-1*c^-1*a^-1*d^-1,
  a^-1*c^-1*a*b^-1*d^-1*c^-1*d^-1*c*b*d^-1*c^-1*b^-1*a*(b^-1*d^-1)^2*c*b^-1*a\
^-1*d*c^-1*b*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*(d^-1*b^-1*a)^2*c^-1*d^-1*c^-1*b^\
-1*c^-1*d^-1*a*c^-1*b^-1*c^-1*d^-1*a^-1*b*d^-1,
  b^-1*d^-1*a*d^-1*c*d^-1*b^-1*a*c^-1*a*b*a^-1*d*a*c^-1*a*d*a*c^-1*b^-1*a^-1*\
d*a^-1*c^-1*d^-1*a^-1*b^-1*c^-1*a*d^-1*b^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d\
^-1*c^-1*a*d^-1*b^-1*a*c^-1*b^-1*d*a*c^-1*d^-1*a,
  b^-1*d^-1*b*a^-1*d*a^-1*c*b^-1*c*a^-1*b^-1*d^-1*a*b*c*d*b^-1*d^-1*c^-1*a*c^\
-1*d^-1*c*d^-1*b^-1*a*d^-1*a*b^-1*(a^-1*d^-1)^2*a*c^-1*(b^-1*d^-1)^2*a*d^-1*c\
*a^-1*d*a^-1*d^-1*a^-1*c^-1*a^-1*b^-1*a,
  b^-1*(d*a^-1)^3*b^-1*c^-1*a*b*d*b^-1*c*b*a*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*c\
*b^-1*d*a*d^-1*c^-1*b^-1*c^-1*a^-1*d*b^-1*d^-1*c*b*a^-1*d^-1*b^-1*c^-1*b^-1*d\
^-1*a*c*d*c^-1*d^-1*a^-1*c,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c*a^-1*c*d^-1*a*b*c^-1*a*d^-1*a*b^-1\
*(c^-1*d^-1)^2*a*b*(a^-1*c*d^-1)^2*a^-1*c^-1*b^-1*d*a*c^-1*b^-1*d^-1*c^-1*a*d\
^-1*a*c*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*c,
  b*d*a^-1*d^-1*a^-1*b*c*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d*a^-1*b^-1*d*b*c^-1*b^-\
1*c*a^-1*d^-1*a*b^-1*d*a*c^-1*d^-1*a*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*a*d*\
b^-1*d^-1*b^-1*c^-1*d^-1*c^-1*a*c^-1*d^-1,
  d^-1*a*b^-1*c*d*b^-1*d*a*c*b*a^-1*c^-1*a*d^-1*b^-1*d^-1*b*a*c*d^-1*a*b*a^-1\
*d*a*b^-1*c*d^-1*b^-1*d^-1*a*b^-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*a^-1*d^\
-1*b^-1*c^-1*b*a^-1*b^-1*d*c^-1*b^-1*c,
  d*c^-1*b^-1*c*b*a^-1*d^-1*a*b*d*a*c*b*a*(d^-1*a^-1)^2*b^-1*c^-1*d*a^-1*d*a*\
c^-1*b^-1*d*a*d*b*a*c*b*d^-1*a*d^-1*c^-1*b*a^-1*b^-1*c^-1*(b^-1*d)^2*a^-1*d^-\
1*b^-1*c^-1*a*d*a^-1,
  d*a*b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d^-1*b^-1*c^-1*b*a^-1*d^-1*c^-1*b^-1*a^-1\
*(c^-1*d^-1)^2*a*b^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d*c^-1*d*a*d*c^-1*b^-1*c^-1*a^\
-1*d^-1*b^-1*d^-1*a*d^-1*c^-1*a^-1*d*b^-1*c^-1*a*b,
  a^-1*c^-1*d^-1*a*b*c*d^-1*b^-1*d*c*b^-1*a^-1*c^-1*a*d^-1*a*b*d^-1*a*c*d^-1*\
b^-1*d*c*a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*c*b^-1*c^-1*a^-1*d^-1*b*a^-1*\
d^-1*c*a*d*a*b^-1*c^-1*a^-1*d*c^-1*a^-1*b,
  d*b*a^-1*d^-1*c^-1*b*c*a*c*d*b*a*d^-1*b*a*c*d^-1*b^-1*c*d^-1*a*b^-1*c*d^-1*\
b^-1*d^-1*a*c*a*b^-1*c*d^-1*a^-1*d^-1*(c^-1*b^-1)^2*d^-1*a*b^-1*c*d^-1*b^-1*d\
^-1*a*b^-1*a*d^-1*c*d^-1*c^-1,
  d*a*b^-1*d^-1*b^-1*c*b^-1*a^-1*(d*c)^2*b^-1*c^-1*b^-1*(d^-1*a^-1)^2*d*a*b^-\
1*c^-1*b^-1*c*d^-1*a^-1*b^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b^\
-1*a*d*a^-1*d*a*d^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a,
  (b^-1*d)^2*c*b^-1*a^-1*d*c*b^-1*c*d*a*b*c*d*b^-1*d^-1*a*b*a^-1*c*(a*d^-1)^2\
*a*d*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c*(b^-1*d^-1*a*d^-1*c^-1)^2*\
a^-1*b^-1*c^-1,
  b^-1*a*c^-1*b^-1*c^-1*d^-1*a*d*b^-1*d*a^-1*b*d*c^-1*b^-1*a^-1*d*c^-1*b^-1*c\
^-1*a*b^-1*d*a^-1*d^-1*a^-1*d*a*b*c^-1*b^-1*a*d^-1*a^-1*b*a*d^-1*b^-1*d*b*c^-\
1*d^-1*c^-1*a*c^-1*d^-1*c*a*c^-1*b^-1*d^-1*a,
  a^-1*d^-1*c^-1*b*c*a^-1*c*d^-1*a*d*b^-1*c^-1*d^-1*a^-1*c*d*a*c^-1*b*a^-1*d^\
-1*b^-1*d*c^-1*b*a^-1*d^-1*(c^-1*b^-1)^2*a*d^-1*c^-1*b^-1*c^-1*b*d*c^-1*a*d^-\
1*c^-1*a*b*d*b^-1*c^-1*d^-1*b*a*b*c^-1,
  c*d^-1*a^-1*d^-1*c^-1*a*d^-1*b^-1*d^-1*a*b*c^-1*(d^-1*b)^2*a^-1*c^-1*d^-1*a\
^-1*b^-1*a^-1*(d^-1*b)^2*c^-1*d^-1*c^-1*a*b*a^-1*d^-1*b*c^-1*d^-1*b^-1*d^-1*a\
*b^-1*c^-1*b*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1*d*a*c*b,
  b*c*d^-1*c^-1*a*b^-1*c*d*a^-1*d^-1*a^-1*d*a*c^-1*b^-1*(a*d^-1)^2*c*b^-1*c*a\
^-1*d^-1*a*d*b*d^-1*c*b*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*b*a*d^-1*c*a*d^-1*a*b^-\
1*c^-1*a^-1*d^-1*a*b^-1*a^-1*c^-1*d^-1,
  c^-1*a*b*c*d^-1*a*b^-1*c*d*b*d^-1*a^-1*b^-1*c^-1*a*b^-1*d^-1*a^-1*d^-1*b^-1\
*c^-1*a^-1*d*a*d*a^-1*c*b*a^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1*c^-1*d^-1*b*a*c*d^-\
1*b^-1*d^-1*c*a*c*b^-1*a^-1*c^-1*d^-1*b^-1*a^-1,
  b^-1*c^-1*d^-1*c*a^-1*d^-1*b^-1*a*b*c*b*d*b*c^-1*d^-1*a*c^-1*a^-1*b*(d^-1*a\
)^2*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b*d^-1*a*d*a^-1*d^\
-1*c^-1*b^-1*d^-1*a^-1*b*a^-1*c^-1*b^-1*c^-1*a^-1*b^-1*d,
  a*b*d*b^-1*a^-1*d*c*a^-1*b^-1*d*c^-1*d*b*a*c^-1*d*b^-1*d^-1*a*d^-1*b*a^-1*b\
*c^-1*a^-1*d*a*c^-1*b^-1*c^-1*(d^-1*a^-1)^2*c*d^-1*b^-1*d*c*a^-1*c*b^-1*c*d^-\
1*a*b*a*c^-1*d^-1*a^-1*b*c^-1,
  d*a^-1*d^-1*a^-1*d*a*c^-1*a^-1*b^-1*a^-1*c*a*d*a*c*d^-1*b*a*b*d^-1*a^-1*b^-\
1*c^-1*b^-1*a^-1*d*a*b*(c^-1*d)^2*a^-1*d*a*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1\
*c^-1*a*b^-1*c^-1*d^-1*a*b*c^-1*b^-1*a^-1,
  a*b^-1*c*d*b^-1*d*a*b*c*b*d^-1*a*d*c*a*b^-1*a*d*b^-1*a^-1*b^-1*c*a*d*a*c^-1\
*a^-1*(d^-1*a)^2*b*a^-1*c*b*c^-1*d*b^-1*d*c*b^-1*a^-1*d*b^-1*a^-1*c^-1*a^-1*d\
^-1*c^-1*a^-1*c^-1*d^-1,
  d^-1*b*d^-1*a*b*c*a^-1*d^-1*a*d^-1*b^-1*d^-1*b*a^-1*d^-1*a^-1*b^-1*d^-1*c^-\
1*a^-1*(b^-1*d^-1)^2*b*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*a*c*b*a*d^-1*b*d^-1*\
a*c^-1*d*a^-1*b^-1*d^-1*a*c^-1*a*d*c^-1*b^-1,
  d^-1*a^-1*d^-1*a*d*b*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*d^-\
1*b^-1*a*d^-1*b*a*c*d^-1*c^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b*a^-1*d^-1\
*a*c^-1*a^-1*b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1,
  b*d*b^-1*d^-1*c*a^-1*b^-1*d^-1*b*a^-1*c^-1*b*c^-1*d*b^-1*d^-1*c^-1*b^-1*d^-\
1*b^-1*a*c*d^-1*c*a*d*a^-1*b^-1*c^-1*d*a*b*c*d*(b^-1*d*a)^2*c*b^-1*a^-1*d*a^-\
1*c^-1*d^-1*a*c^-1*b^-1*d*a,
  d*c^-1*b*a*d*b^-1*c*b^-1*a^-1*d*a^-1*c^-1*b^-1*c*a^-1*d*b^-1*d*c^-1*b^-1*a^\
-1*d^-1*b*a^-1*c*a*b^-1*d*a^-1*b^-1*d*b^-1*c^-1*b*a^-1*d*a*b^-1*d^-1*a*c^-1*d\
^-1*b^-1*a*b*d*b^-1*c^-1*a^-1*b^-1*d*a,
  a^-1*d*a^-1*c*a*d*a*b*d^-1*a*b*c^-1*d^-1*b*d^-1*a*b^-1*a^-1*c*a*b*d^-1*a^-1\
*d*a*b*a^-1*c^-1*b*c^-1*d^-1*b*a^-1*d*c*a*d*a*b*c*a^-1*d*a^-1*b^-1*d^-1*a*d^-\
1*b*a^-1*c*a*b^-1,
  d^-1*a*c*b^-1*d^-1*a*d*b^-1*a*c^-1*b^-1*a^-1*d*c*a*d^-1*c*b^-1*d*a^-1*d^-1*\
a^-1*b^-1*d^-1*c*a^-1*b^-1*a^-1*c^-1*a*d*b^-1*a*c^-1*b^-1*d^-1*b^-1*c^-1*d^-1\
*a*c^-1*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d*a^-1*c,
  d^-1*b^-1*c*(a^-1*d^-1)^2*a*c^-1*b*a^-1*d^-1*a*b^-1*d^-1*b^-1*c^-1*b*a^-1*d\
*c*(d^-1*b^-1)^2*a*d^-1*b^-1*d*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d\
^-1*c^-1*b^-1*c*a^-1*d*c^-1*b^-1*d*(a^-1*d^-1)^2*b^-1*a,
  a*d^-1*c^-1*a^-1*d*c^-1*(d^-1*c^-1*a^-1)^2*b^-1*d^-1*b^-1*d*b*c^-1*a^-1*b*a\
^-1*d^-1*a*c^-1*a^-1*d^-1*(c^-1*b^-1)^2*d^-1*c^-1*a*c^-1*b^-1*a*d^-1*b*d^-1*c\
^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a^-1*b*d^-1*c^-1*a^-1*d^-1,
  c^-1*b^-1*c^-1*d^-1*a*b*d*b^-1*d^-1*c*a^-1*c*d^-1*c^-1*d^-1*a^-1*d*a^-1*b*a\
*c*d^-1*c^-1*a^-1*(b^-1*d^-1)^2*c^-1*a^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b^-1*d^-1*\
c*a*c^-1*d^-1*a^-1*c^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^2*a^-1*b^-1,
  d*b*c^-1*a^-1*b^-1*d*a^-1*d*b*c^-1*a*b^-1*d^-1*a^-1*c*b*a*d^-1*a*b^-1*c*d^-\
1*b*d^-1*a^-1*b^-1*a*c*d^-1*b^-1*d*c*a^-1*b^-1*d^-1*a^-1*c*b^-1*c^-1*d^-1*c*b\
*c*b^-1*a*d^-1*b^-1*a*d*a*b^-1*c^-1*b^-1,
  c^-1*a^-1*b*d^-1*c*a*b*a*d^-1*a^-1*c^-1*b^-1*d^-1*a^-1*b*a^-1*c^-1*b*d^-1*a\
*b^-1*c^-1*a*d^-1*b*c*b^-1*c^-1*d^-1*c^-1*a*d^-1*c*b^-1*a*c*a*d*a*c^-1*a*(d^-\
1*c*a^-1)^2*d^-1*a*c^-1*a^-1*d^-1*a,
  a^-1*b*d*a^-1*c^-1*b^-1*d^-1*a*d^-1*a^-1*b^-1*a^-1*d^-1*b^-1*a^-1*d*a*b*d^-\
1*b^-1*d^-1*a^-1*d^-1*c^-1*b*d^-1*a^-1*(c^-1*b^-1)^2*a*d^-1*c*a*b*d^-1*a*d*b*\
a*c*b^-1*c^-1*a^-1*d*b*a*d*b^-1*d^-1*a*d^-1,
  d^-1*b^-1*a*c*d*c^-1*b^-1*c*d*c*b*a*b*d^-1*b^-1*a*d^-1*a*b^-1*c^-1*d^-1*b*a\
^-1*c^-1*b^-1*c^-1*d*a*b^-1*d^-1*a*c^-1*d*a*c*d^-1*a^-1*c^-1*a*b*a^-1*c^-1*d*\
a*b^-1*c^-1*d^-1*b^-1*d*a^-1*c^-1*b^-1*a^-1,
  b^-1*c*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*c*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1\
*d^-1*b*a^-1*d*a^-1*c^-1*a*b^-1*d*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b^\
-1*a*c^-1*a*d*c*a*d^-1*a*c^-1*a*d*a^-1*d^-1,
  d*b*c^-1*a^-1*d*a*d*b*d*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*d^-1*(b^-1*c^-1)^2*a^\
-1*c*d*a*b^-1*d^-1*b^-1*c^-1*b^-1*a*b*d^-1*b^-1*d^-1*c^-1*(b^-1*a^-1*d^-1)^2*\
c^-1*a^-1*d^-1*b*a^-1*d^-1*b^-1*a^-1*c*b^-1*c*a^-1,
  d^-1*a*b*c^-1*(d^-1*b)^2*a^-1*b^-1*d^-1*b^-1*a*d*a^-1*d*b^-1*c*a*d*b^-1*a^-\
1*c^-1*a*b^-1*a^-1*d^-1*a*d^-1*b*c^-1*b*c*d*a^-1*(c^-1*b^-1)^2*a*d*b^-1*c^-1*\
b*a^-1*d^-1*a*b^-1*d*a*c^-1*d^-1*c,
  c*b^-1*a*b*d^-1*b*d*c^-1*b^-1*a^-1*d^-1*a*c*b^-1*a*d^-1*b*c*b^-1*d^-1*a*b^-\
1*c^-1*(d^-1*b^-1)^2*d^-1*a*d^-1*c^-1*b^-1*c*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b\
*c^-1*b^-1*d^-1*a^-1*d^-1*b^-1*c^-1*a*b^-1*d*a,
  d^-1*a^-1*b^-1*a*d^-1*a*d*(b^-1*d*a)^2*d^-1*a*d*b^-1*a^-1*c*a*b*c^-1*d^-1*a\
^-1*c^-1*d^-1*(c^-1*b)^2*d^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b*c^-1*(d^-1*b^\
-1)^2*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*b^-1,
  a*d^-1*b^-1*c^-1*d^-1*a*d*c*d^-1*a*c^-1*a*b*a*d*a*b*d^-1*a^-1*b*d^-1*a*b^-1\
*c^-1*d*b*d^-1*b^-1*a^-1*c*b^-1*c*a^-1*d^-1*a*b*a^-1*c*b*a*d^-1*b*a^-1*b^-1*d\
*c^-1*a^-1*d*b^-1*a^-1*c*b^-1*d,
  d*b^-1*a*b^-1*c^-1*a*d*b^-1*c^-1*b^-1*a^-1*c*a^-1*d^-1*c^-1*a^-1*d^-1*a^-1*\
c^-1*b^-1*a*d^-1*c*a*d^-1*c^-1*b^-1*c*b^-1*d^-1*c^-1*a*d^-1*a*b^-1*a*d*b^-1*d\
*a*c^-1*b^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*a*c^-1,
  d^-1*a*d*b*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*c*b^-1*c^-1*a^-1*d*a*b^-1*d^-1*a*\
c^-1*d^-1*c^-1*b*a*d^-1*a^-1*c*a^-1*b^-1*c^-1*b*d^-1*b^-1*d*a^-1*c^-1*b^-1*c^\
-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*c,
  a*b^-1*d^-1*c*b^-1*a^-1*d^-1*a*d*b*a*d*a*b^-1*c*d*b^-1*c^-1*b^-1*a^-1*d*a*b\
^-1*c^-1*d^-1*b^-1*d*a*b*a^-1*c^-1*d^-1*c^-1*b^-1*d*a*c*b^-1*a^-1*d*a^-1*c^-1\
*d*a*b^-1*c^-1*d^-1*c^-1*b^-1*c^-1*a*b^-1*d,
  b*d^-1*a*c^-1*d*a*d*c^-1*a^-1*b^-1*c*b^-1*c^-1*d^-1*a*b^-1*c*d*b^-1*c^-1*b*\
a^-1*b*d^-1*a*c^-1*d^-1*c*b^-1*d^-1*b^-1*a*c^-1*b^-1*d^-1*b*c*b^-1*c^-1*d*c^-\
1*a*d*(b^-1*c^-1*d^-1*a)^2*c^-1*d^-1*a,
  d*a^-1*(d*a)^2*c*b*c^-1*a^-1*b^-1*d*a^-1*d^-1*a^-1*c^-1*a*b*a*c^-1*a^-1*c^-\
1*d^-1*a^-1*b^-1*a^-1*d*b^-1*a^-1*d^-1*c^-1*a^-1*b*d*b^-1*c^-1*d^-1*b^-1*a^-1\
*b^-1*c^-1*a*d^-1*c^-1*b^-1*a*c^-1*d^-1*(c^-1*b)^2*a^-1*c^-1,
  d*a^-1*b^-1*a^-1*c^-1*d*b^-1*d^-1*a*d*c^-1*a^-1*b^-1*c^-1*b^-1*d*c^-1*(a^-1\
*d^-1)^2*b^-1*a*d*a^-1*d^-1*b*c^-1*d*a^-1*c*d^-1*b^-1*c*b*c^-1*d^-1*a^-1*(c^-\
1*b^-1)^2*d^-1*a*b^-1*c^-1*d^-1*b^-1*a*c^-1*a*d*c*b^-1,
  a*b*c*d^-1*a*b^-1*c*b^-1*d*a^-1*b^-1*c*d^-1*a*d^-1*a^-1*d^-1*b^-1*a*c^-1*d^\
-1*a*b*d*b^-1*d*c*b^-1*a^-1*d^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1*a*c*d^-1*b^-1*a^-\
1*d*a*d*b^-1*c^-1*a*b^-1*d^-1*b^-1*a^-1*d^-1*c^-1*d^-1,
  a*d^-1*b*d^-1*c*b*a^-1*d^-1*c^-1*d^-1*c*a*d^-1*c^-1*(b*a*d^-1)^2*(b^-1*a^-1\
*d^-1)^2*a*b^-1*c*a^-1*d^-1*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a^-1*(b^\
-1*d^-1)^2*c^-1*b*a^-1*d*a*b^-1*a^-1*c^-1,
  c^-1*b*d*a*b^-1*c*d*b*d^-1*a*b*c*b^-1*d^-1*b*a*b*(d^-1*b^-1)^2*d^-1*c^-1*b*\
a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*(a*d)^2*a*b^-1*d^-1*a^-1*b^-1*d^-1*b*c^-1*b^-1*\
a^-1*d*a*b^-1*d^-1*a*c^-1*d*c*a^-1*d,
  d*a*c^-1*b*a^-1*d^-1*a^-1*c*d*b*a*d*b*c*b*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d*a^\
-1*b^-1*c^-1*d^-1*b*c*b^-1*c^-1*a^-1*d*a^-1*b*a*d^-1*a*b^-1*c*b^-1*d^-1*a*b^-\
1*c^-1*d*b^-1*d^-1*b*a*c^-1*b^-1*c*a^-1,
  (d*a)^2*d*b^-1*c*a*b^-1*a^-1*d*a*d^-1*b^-1*a^-1*c^-1*a*b^-1*a^-1*d^-1*b*d^-\
1*c*b*a^-1*d^-1*b^-1*a^-1*d^-1*a^-1*c^-1*a*b*d*a^-1*b*a*d^-1*b^-1*a^-1*d*a*b^\
-1*d^-1*a*c^-1*d^-1*c*b^-1*d*a*b^-1*c*b^-1,
  d*b*a*c*a^-1*d^-1*b*a*b*d^-1*b*d*c*b^-1*a^-1*d^-1*c^-1*a^-1*d*a*b*d*(a*c^-1\
*d^-1)^2*b^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*c^-1*a^-1*d^-1*c^-1*a*d^-1*c*b^-1*d*a\
^-1*d^-1*a^-1*b^-1*d^-1*c*b^-1*a*c^-1,
  d*b*d^-1*a*b*a*d^-1*a*c^-1*d*a*b^-1*c*d*b^-1*d^-1*c*a*(c^-1*b^-1)^2*a*d^-1*\
a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*c^-1*a*d^-1*b*a*d^-1*b^-1*a*c^-1*d^-1*c*b^-\
1*c^-1*d^-1*b*c^-1*b^-1*a^-1*c*d^-1*c*b^-1,
  (d^-1*b^-1)^2*a*c*d*a*b^-1*c*a^-1*d^-1*b*a^-1*c^-1*d^-1*a*d^-1*c^-1*a^-1*b^\
-1*a*c*a^-1*d^-1*c*b^-1*d^-1*b*a*d^-1*b^-1*a*c^-1*(d^-1*c^-1*b^-1*c)^2*a^-1*d\
^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c*a,
  b^-1*a*d^-1*a*d*b^-1*d*a*d^-1*c*d*a^-1*c^-1*d^-1*b^-1*c*b*c^-1*d^-1*a^-1*c*\
d^-1*a^-1*b*a^-1*c^-1*b^-1*d^-1*a*d*a*c^-1*b*a*b^-1*d^-1*a*b^-1*a^-1*d*b^-1*d\
^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b*d^-1*b^-1*c^-1*d*a^-1,
  c^-1*b*d*a*d*c^-1*a^-1*b*a*d^-1*c^-1*a^-1*d^-1*b*a^-1*d*a*b*c*b^-1*d^-1*a*c\
^-1*d^-1*c*d^-1*a^-1*b^-1*a^-1*c^-1*d^-1*c^-1*d*b^-1*a*c^-1*d*b^-1*d^-1*a*b^-\
1*c^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*d*a*b^-1*a^-1,
  d*c^-1*d*c*a^-1*c*b*a*d*a^-1*c^-1*b*a*d^-1*b^-1*c*d^-1*c*b*c^-1*a^-1*b*a*d^\
-1*a*b^-1*d*a*c*d^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*c^-1*(d^-1*b^-1)^2*c^-1*d^\
-1*a^-1*c*a^-1*d*b*a^-1*(c^-1*d^-1)^2*a,
  a*d*c^-1*a*c^-1*d*b^-1*d*a*b^-1*c*b^-1*a^-1*c^-1*d^-1*a*d^-1*b^-1*c*a*b^-1*\
d^-1*a^-1*(c^-1*b)^2*d^-1*b*a*d^-1*b^-1*a*c^-1*d^-1*c*b^-1*c^-1*(d^-1*c)^2*a*\
b^-1*c^-1*b^-1*d^-1*b*d^-1*c^-1*a^-1*d*a^-1*d^-1,
  a*d*a^-1*d^-1*c^-1*b^-1*c^-1*a*d^-1*a^-1*c^-1*a*b*a*d^-1*c^-1*a^-1*b*a*c^-1\
*b*a^-1*d*a*b*d^-1*a*c*d*a*d^-1*c^-1*b^-1*c^-1*a*d^-1*b^-1*a*c^-1*d*b*d^-1*a^\
-1*b^-1*a^-1*c^-1*a^-1*d^-1*c^-1*b*d^-1*b*a^-1*c^-1,
  d^-1*c*b^-1*a^-1*d*b*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*c^-1*a*b^-1*c^-1*d^-1*b\
^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*b^-1*a*c*b^-1*d^-1*a*b^-1*c^-1*(d\
^-1*b^-1)^2*c^-1*a^-1*c^-1*b^-1*d*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*c*b^-1*c^-1,
  a^-1*b*d*b*d^-1*c*b*a^-1*d*a*b*c*a*c*d^-1*b^-1*d*c^-1*b^-1*d^-1*a*b^-1*c^-1\
*d*a*b^-1*(d*a^-1)^2*d*c^-1*b*c*b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a*d^-1*b^\
-1*d^-1*b*c^-1*d^-1*a^-1*c*d^-1*c^-1,
  b*d^-1*b*a^-1*d^-1*c^-1*d^-1*c*b*a^-1*d^-1*b*a^-1*b*d*a*d^-1*a^-1*d*b*c^-1*\
b*a^-1*d*a*b*d^-1*a*c*d^-1*c^-1*a*b*d^-1*a^-1*d*b^-1*a*d*a*c*b^-1*a^-1*d*a^-1\
*c^-1*d*a*c^-1*a^-1*(d^-1*c^-1)^2,
  d*b^-1*d*c*b^-1*a^-1*d^-1*b*(d^-1*a)^2*b*a*c^-1*d^-1*a*d^-1*c*d*c*b*d^-1*b^\
-1*d*a*b^-1*a^-1*d*a*d*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d^-1*b*c^-1*a*(d^-1*b)^2*\
a*c^-1*d^-1*b*a^-1*b^-1*c^-1*a,
  d^-1*a*d*a^-1*d^-1*b*c^-1*a*b^-1*d*b*c*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*a*\
d^-1*b^-1*c*b^-1*d^-1*a*b^-1*a^-1*c^-1*b^-1*a*d*a*c^-1*b^-1*a^-1*d^-1*b^-1*d^\
-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*d*a*c^-1*a^-1*b*c^-1,
  d^-1*a*b*c^-1*d^-1*b*d^-1*c*b*a*c^-1*a^-1*d^-1*a*c^-1*b^-1*c^-1*a^-1*b*d*a*\
d*a^-1*d^-1*c*a^-1*d^-1*b*a^-1*d^-1*a*b^-1*c^-1*b^-1*d*c*a*c^-1*b^-1*c*b^-1*d\
^-1*a*c^-1*a^-1*b*d^-1*c^-1*b^-1*c^-1*(d^-1*a^-1)^2,
  b^-1*a*d^-1*a*b*a^-1*c^-1*d^-1*b*d^-1*c*b*a^-1*d*b*c^-1*d^-1*a*d^-1*(a^-1*d\
^-1*c)^2*a^-1*d*b*a^-1*d^-1*a*c^-1*b^-1*c^-1*d^-1*b^-1*a*c^-1*a^-1*d^-1*b*a*d\
*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*b^-1*c^-1*d,
  d*b*a^-1*c*b*c*a*d^-1*a^-1*b^-1*a^-1*c*b^-1*c^-1*a^-1*d^-1*a*b*d*a*c^-1*d^-\
1*c^-1*b^-1*a^-1*d*a*b^-1*d*a*c^-1*d^-1*a*b^-1*a^-1*d*a^-1*c*a*d^-1*a^-1*b^-1\
*c^-1*b^-1*d^-1*b*a*c*d^-1*c^-1*a^-1*d*b^-1*a^-1,
  b*a*d*b^-1*a*b*c*b^-1*d*a*b^-1*c^-1*d*b*d^-1*a*b^-1*a*d*c^-1*a^-1*b^-1*a*c*\
d^-1*a^-1*b*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*a*c*d^-1*a^-1*c^\
-1*d*a*b^-1*c*d^-1*b^-1*d^-1*c^-1*a*c^-1*d^-1,
  b^-1*d*a*b*c^-1*d^-1*b*d^-1*a^-1*c^-1*d^-1*a*d^-1*b^-1*d*c^-1*a^-1*d*b^-1*c\
*d^-1*a^-1*c^-1*a*b^-1*a*c*d^-1*a^-1*b^-1*c*d^-1*a*b^-1*c*d^-1*b^-1*d*a*b^-1*\
d^-1*a^-1*c^-1*b*d*a*d*a^-1*b^-1*c^-1*a*d*c*a,
  b^-1*a^-1*d^-1*b^-1*a*d*a*b*c*d*b*c^-1*a*b*a^-1*d*b^-1*c*b^-1*d^-1*b*a^-1*c\
^-1*a*b*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*c*a^-1*d^-1*a^-1*d*a^-1*d^-1*b^-1\
*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c*a^-1,
  b^-1*c^-1*b*a^-1*(d*a^-1*b^-1)^2*(a*d^-1)^2*a*b^-1*a^-1*d*c^-1*a*b^-1*c^-1*\
b^-1*d*a*b^-1*c*d*a*b^-1*c^-1*b^-1*a^-1*d*a*d^-1*b^-1*c^-1*a*c^-1*d*b*d*c^-1*\
b*a^-1*d^-1*b^-1*c^-1*b^-1*d*a^-1*c^-1*d^-1,
  a*b*(a^-1*d)^2*(b^-1*d)^2*b^-1*a^-1*c*b^-1*d^-1*a*d^-1*b^-1*a*(b^-1*c)^2*d^\
-1*c*b^-1*c*a*d^-1*c*a*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a*b*a^-1*d^-1*b^-1*c^-\
1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a*c^-1,
  a^-1*b^-1*(d*a^-1)^2*d*c*b^-1*c^-1*d*a*c^-1*b^-1*c*(d^-1*a^-1)^2*b^-1*c^-1*\
a^-1*d*b^-1*d*c^-1*b*a^-1*d*b^-1*a*c^-1*d*a^-1*(b^-1*c^-1)^2*a*d*b^-1*c^-1*d^\
-1*a*c^-1*d*c^-1*a^-1*d^-1*b*a^-1*d*b^-1*d,
  d*a*b*d^-1*a*c^-1*d^-1*a*b*d*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*c*b^-1*d^-1*a*b^-\
1*c^-1*d^-1*b^-1*d^-1*a^-1*b*a*d*a*c*d^-1*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1*b^-1*\
c^-1*a^-1*d*(b^-1*d^-1)^2*c*b^-1*a^-1*d*b^-1*a^-1*d^-1*a,
  a^-1*c*d^-1*a*b^-1*c*d^-1*b^-1*c*b^-1*a^-1*d^-1*a^-1*b*d*a*b^-1*a*c^-1*d^-1\
*a*b^-1*c*d^-1*b^-1*d*a*c^-1*a^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c*b^\
-1*c^-1*a^-1*d*a^-1*d^-1*b^-1*c^-1*a^-1*d*a*d^-1*a*c^-1*a^-1*b^-1,
  b^-1*c*a^-1*d^-1*a*b*d*a^-1*d^-1*a*b^-1*d*a*d^-1*b*a*c*a^-1*d^-1*c^-1*a*b*c\
*d^-1*a*b^-1*d*a*c*d^-1*a*c^-1*d^-1*c*b^-1*c*d^-1*c^-1*(a^-1*b^-1*d^-1)^2*c^-\
1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a*d,
  a*d^-1*b*a*d^-1*a*c^-1*b*a^-1*d*a^-1*c^-1*b^-1*a^-1*d*a*b*a^-1*d*a^-1*b^-1*\
a*d*a^-1*c*b^-1*a*d^-1*a*b^-1*a^-1*c*d*a*b*c*d^-1*b*d*c^-1*b*a*b*c^-1*b^-1*d^\
-1*b*d^-1*c*b^-1*a^-1*d*c^-1*b^-1*c,
  c^-1*b^-1*a^-1*d^-1*a*b^-1*c*d*b^-1*d*a*b*d*c*a^-1*d^-1*a*b*a^-1*c^-1*d*b^-\
1*c^-1*b^-1*a*d^-1*a^-1*b^-1*c^-1*d*a*d*a^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-\
1*d*c^-1*b^-1*a^-1*b^-1*d*a*d*b^-1*(d^-1*a^-1)^2*b,
  d*c^-1*b^-1*d^-1*a^-1*b^-1*a^-1*c^-1*a^-1*d^-1*c^-1*d^-1*a^-1*c^-1*b*c^-1*b\
^-1*a^-1*c*d*a*c*a^-1*c^-1*b*d*a*b^-1*d^-1*a*c^-1*d^-1*c*(d^-1*a^-1)^2*b^-1*a\
*d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*a*b^-1*c*a^-1*b^-1,
  a*d^-1*b^-1*a*d*a*d^-1*b*a^-1*d*a^-1*c^-1*b*a^-1*b^-1*d^-1*b^-1*(a*d^-1)^2*\
c^-1*a^-1*b*d^-1*a*b^-1*c*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*b*a^-1*d^-1*\
b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1*b*c^-1*b^-1*a^-1*d,
  b*a*d^-1*a^-1*b*a*c^-1*d*a^-1*b^-1*a*c*(d*a*c^-1)^2*a*d*b^-1*c^-1*b^-1*a^-1\
*d*a*b*d^-1*a*c^-1*d^-1*c*a^-1*b*c^-1*a*d^-1*b^-1*a*c^-1*d^-1*b*d^-1*b^-1*a^-\
1*(d*c^-1)^2*a^-1*c*b*a*d*a^-1,
  b^-1*d*b*c^-1*b^-1*c^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*b^-1*a^-1*d*a*b^-1*c*(d^-\
1*b^-1)^2*a^-1*c*a^-1*b*a^-1*d^-1*(b*c)^2*d^-1*c^-1*a*d^-1*(b*c)^2*d*(c^-1*b^\
-1)^2*a*c*d*a^-1*c^-1*b^-1*a^-1*d*c^-1,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*b*a^-1*c*a*b*a^-1*d^-1*a*b^-1*c^-1*d*b*\
d*a*d^-1*a^-1*c*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*b^-1*a*c*b*a^-1*d\
^-1*c*a*d^-1*(b^-1*c^-1)^2*d^-1*c^-1*a*d^-1*a*c,
  d^-1*c^-1*d*c^-1*a*d^-1*c^-1*b^-1*(d*a^-1)^2*b*d*a^-1*c^-1*(a*d)^2*b^-1*a*b\
*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*c^-1*a^-1*b*a^-1*d^-1*c^-1*b*c*a^-1*d*b^-1*d^-1\
*c^-1*b^-1*a^-1*d*a*b^-1*a*c*a^-1*c^-1*d^-1*a^-1*b^-1,
  a*b^-1*d^-1*b^-1*a^-1*b^-1*d^-1*a*c*a^-1*b^-1*a*d*a^-1*b*a*c*a^-1*d*a*b^-1*\
d^-1*a*c*d^-1*a*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*a^-1*d^-1*c*d^-1*a*b\
^-1*d^-1*a*c*d^-1*b*c*a*b^-1*d^-1*b^-1*a*c*d^-1,
  a*d*c*a^-1*d^-1*a^-1*d*a*b^-1*c*b^-1*d*a*b*c^-1*d^-1*b^-1*d*c*a*b*c*d*c^-1*\
a*d*a*b^-1*c^-1*a^-1*d^-1*b^-1*a*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*\
a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*d*a*d,
  b^-1*d*a^-1*b^-1*a*d*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*a^-1*d^-1*c^-1*a*d\
^-1*a*b*c^-1*a^-1*d*b^-1*a*d*a^-1*b*c*b^-1*c^-1*d*a^-1*d^-1*b^-1*c^-1*b^-1*a^\
-1*d^-1*a*b^-1*d^-1*b*c^-1*b^-1*a^-1*d^-1*c^-1*a*d^-1*b^-1*a^-1*c^-1,
  c*a^-1*c*b*d*a*b*c*d^-1*a*b^-1*d*c^-1*b*a^-1*d*a*c^-1*b*a*b*c*d*a*b^-1*d*a*\
c*d^-1*c^-1*d^-1*a*d*a*d^-1*b^-1*d^-1*a*c^-1*b^-1*c^-1*a*d^-1*b^-1*c^-1*b^-1*\
a^-1*d*a*b^-1*d^-1*b*d^-1*a^-1*d^-1,
  d*a^-1*b*c^-1*b*c*a*d*(b^-1*c^-1)^2*d*c^-1*a*d^-1*c^-1*b^-1*d^-1*a^-1*c*a*d\
^-1*c^-1*a*d*a*b^-1*c*a^-1*d*a^-1*b*c^-1*d*a^-1*d*a*b*a^-1*d*b^-1*d^-1*c^-1*b\
^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1*a*b^-1*c^-1,
  c^-1*b^-1*a*d^-1*c^-1*a*d*a^-1*b*c^-1*b*a^-1*d^-1*a*d^-1*b*a^-1*d^-1*b*d^-1\
*c^-1*b^-1*a^-1*d*b*a^-1*d*a^-1*d^-1*a^-1*d*a*b*c^-1*b^-1*a*d*c^-1*b^-1*a^-1*\
d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*b^-1*c^-1*a*b*a^-1*d*a,
  c^-1*d*a*c^-1*a*d^-1*c^-1*b*d*b^-1*d^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-\
1*a^-1*d*a*c*b^-1*a^-1*d^-1*a*c^-1*a*d^-1*a*b*c*(d^-1*b)^2*a^-1*b*c^-1*d^-1*b\
*a*c^-1*b^-1*a^-1*d^-1*a^-1*d*b^-1*d^-1*c^-1*a*d^-1*a^-1,
  c*d*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*b*c*d^-1*(b^-1*c)^2*d^-1*a*c^-1*d^-1*b^-1\
*d*c*b^-1*a^-1*d^-1*a^-1*b*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*b^-1*a^-1*d^-1*a^-1\
*d*a^-1*b^-1*a^-1*c*b^-1*c^-1*a^-1*b^-1*d^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1,
  d*a^-1*d*b^-1*d*a*b^-1*c*d*b^-1*d*a*b^-1*a^-1*d^-1*b*a*d^-1*a^-1*d^-1*b*c^-\
1*a^-1*c^-1*d*a*c*b^-1*a^-1*c^-1*d^-1*a*c^-1*a^-1*b^-1*c^-1*b^-1*d*a*c^-1*a^-\
1*d*a^-1*d^-1*a*c^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*a*c^-1*b,
  b^-1*c^-1*d*b^-1*a^-1*c*a*b*d^-1*a^-1*c^-1*a*d*b*d^-1*b^-1*c*d^-1*a^-1*c*a^\
-1*d^-1*c^-1*a*d^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d^-1*a^-1*d^-1*c*b^-1*d*\
b^-1*d^-1*a*b^-1*d^-1*c*a^-1*b^-1*d^-1*a*d^-1*c*a*b^-1*c,
  a*b*d*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*b^-1*a*d^-1*c^-1*b^-1*c^-1*b*d\
^-1*c^-1*a*d*a*c*d^-1*a*b^-1*c^-1*b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a^-\
1*b*c*a^-1*c*d^-1*a*b^-1*c^-1*d^-1*a*c^-1*d^-1*c^-1*a*c*b^-1*c,
  d^-1*c*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*c^-1*b*c*a^-1*d*b^-1*d^-1*\
c*b*a^-1*d^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*a^-1*b^-1*d*a*d^-1*c^-1*b^-1*d^-1*a*\
b*c^-1*d^-1*b*d^-1*b^-1*c^-1*a*b^-1*(d*a)^2*b*a*d*a^-1*b,
  b*d*a^-1*c*b^-1*c*d*a^-1*b*c*b*a^-1*d^-1*a*d*a*d^-1*b^-1*c*b^-1*a*d^-1*a^-1\
*c*b^-1*d*a*d^-1*b^-1*a*c^-1*b^-1*a^-1*d^-1*b*a^-1*d^-1*b^-1*a^-1*d^-1*b*a*c*\
(d^-1*a*b^-1)^2*d^-1*a*d^-1*a^-1*b^-1*d,
  a*d*c*a^-1*d^-1*c^-1*a^-1*b^-1*c^-1*b*d*a*d^-1*a^-1*b^-1*d^-1*a^-1*d^-1*a*d\
^-1*b^-1*c*b^-1*a^-1*d^-1*a*d^-1*c^-1*d*a^-1*c^-1*d^-1*(c^-1*b^-1)^2*d^-1*a^-\
1*c^-1*d^-1*c^-1*a^-1*b^-1*d^-1*b^-1*c^-1*d^-1*c^-1*a*d^-1*a^-1*b^-1*d*a^-1*b
    ,
  c*d^-1*a*b^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d*b*c^-1*b^-1*d^-1*b*d^-1*b^-1*c\
^-1*d^-1*a^-1*c*a^-1*b^-1*a^-1*d^-1*c^-1*a*b^-1*a*d*(a^-1*c^-1*d^-1*c^-1)^2*b\
^-1*d^-1*b*d*a*b^-1*c^-1*d^-1*a*b^-1*d^-1*a*c*d*a*d^-1,
  d*b^-1*d*a*c*b*c*d*a*b^-1*c^-1*d*b^-1*d*a*c^-1*a^-1*b*c^-1*d*c^-1*a^-1*d*b^\
-1*a^-1*d*a*b*c^-1*b^-1*d*a^-1*c^-1*b^-1*c*d*b^-1*d*a*d*c^-1*d*a^-1*d^-1*b^-1\
*c*a^-1*c*d^-1*a*d^-1*b^-1*c^-1*d^-1*c*b^-1,
  d*b*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*a^-1*b*a*c*b^-1*d*a^-1*d^-1*b^-1*d^-1*a^-1\
*d^-1*b^-1*a^-1*d^-1*c^-1*a*c^-1*b^-1*a^-1*d^-1*b^-1*a*b^-1*c^-1*d^-1*b^-1*d^\
-1*c^-1*a^-1*d^-1*b*a^-1*(d*a*b^-1)^2*c^-1*d^-1*b^-1*d*a*b^-1*c^-1*a,
  b^-1*a*b*d^-1*c^-1*b*c^-1*a*d*b*d^-1*a*d^-1*b^-1*a*b^-1*c*a*c*a^-1*b^-1*a^-\
1*c^-1*a*d^-1*b*a*c^-1*d^-1*b^-1*d^-1*c*b*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1\
*d*c^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*a*c^-1*b^-1*c^-1*d^-1,
  d*b*d*b^-1*a^-1*b^-1*c*a*b^-1*d^-1*a*c^-1*b^-1*a^-1*d^-1*a^-1*c*d^-1*a^-1*b\
^-1*c^-1*a^-1*c*d^-1*b^-1*a*c*(d^-1*b^-1)^2*a^-1*d*c^-1*a^-1*d^-1*c^-1*b^-1*c\
^-1*d^-1*a^-1*c^-1*a^-1*b^-1*d^-1*c*b^-1*a^-1*d*a*d*c^-1*a^-1*c*d^-1*b,
  d^-1*a*d^-1*b^-1*c^-1*b*c^-1*d^-1*c^-1*a*d*a^-1*d^-1*b*c^-1*a^-1*c^-1*(d*a)\
^2*d^-1*b^-1*c^-1*a*d^-1*c^-1*a*d*a*b^-1*c*a*d*a*d^-1*b^-1*a*b^-1*c^-1*b^-1*d\
*a*b^-1*c^-1*(d^-1*b^-1)^2*c^-1*a*c*b^-1*a*d^-1*b,
  d^-1*b*c*b^-1*a^-1*d^-1*c^-1*d^-1*a^-1*(c^-1*b^-1)^2*a*d^-1*(b^-1*c)^2*d^-1\
*c^-1*a*d*c^-1*b^-1*d^-1*a*b*c*a*c*b*a^-1*d*a*b*d^-1*a*c*a^-1*d^-1*c^-1*a*b*d\
^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b*c*b*c^-1,
  a^-1*b^-1*d*c^-1*a*d^-1*c*b*d^-1*(b^-1*d)^2*c*b^-1*a^-1*c*a*b^-1*d*a*b^-1*c\
*d*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*a*d*c^-1*b^-1*c*a*d*a^-1*c*b^-1*c*d^-1*c^-1*\
a^-1*b^-1*d^-1*a^-1*b*d^-1*a^-1*b^-1*(d^-1*a)^2*d,
  d^-1*b^-1*d^-1*c*a^-1*b*d^-1*b*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*d^-1*\
c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*c*b^-1*d^-1*a*(c^-1*a^-1*d^-1)^2*b^-1*d^-1*a*\
b*d^-1*a*c^-1*d^-1*a*b*a^-1*c*a*d*a*d^-1*c*b^-1*c^-1*b*a^-1,
  a*d*c^-1*(b*d^-1)^2*a*b*c*d^-1*a^-1*b*c^-1*b^-1*a^-1*(d^-1*a)^2*(d*a)^2*d^-\
1*c^-1*a^-1*b^-1*a*c^-1*a^-1*d^-1*b*d*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*b*a*c^-1*b\
*c^-1*d^-1*b*a^-1*d*a*b*d^-1*a*c^-1*d^-1,
  d^-1*b*a*d^-1*a*b^-1*c*d*b*d^-1*b^-1*c^-1*a^-1*d^-1*c^-1*b^-1*a^-1*c^-1*d*a\
^-1*c^-1*b^-1*c^-1*d^-1*b^-1*a^-1*d*a^-1*b^-1*d^-1*a*b^-1*(d*a^-1)^2*d^-1*c*a\
^-1*d^-1*c^-1*a^-1*b*a*c^-1*a^-1*b^-1*d^-1*c*b^-1*d^-1*a^-1*c^-1*b*d^-1*a,
  b^-1*c^-1*d*a^-1*d*c*a^-1*d*b^-1*a^-1*d*a*b*c*a^-1*b*d*a^-1*c*a*b^-1*a^-1*c\
*a*d^-1*a^-1*c^-1*d*c^-1*b^-1*c*b*d^-1*a^-1*c^-1*d*a^-1*d^-1*a^-1*c^-1*a*d^-1\
*(b*c^-1)^2*d^-1*c^-1*a*d^-1*c^-1*a^-1*(d*c^-1)^2,
  d*b*d*b^-1*a^-1*d^-1*c*a*d^-1*c^-1*a*c^-1*d^-1*b^-1*a*b*d*b^-1*d^-1*c^-1*b^\
-1*a^-1*d^-1*a*b^-1*c^-1*a*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*c*b^-1*c*a*b^-1*a^-1*\
d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*(b^-1*d)^2*a*c^-1*a*d^-1*c^-1*b,
  d^-1*c^-1*b*c^-1*a*d*b*c*d^-1*a*c^-1*d*c^-1*a^-1*d*b^-1*a^-1*d*a*b^-1*c^-1*\
a^-1*b^-1*d^-1*b^-1*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*c^-1*b*d^\
-1*c^-1*a*c^-1*d*c^-1*d^-1*(b^-1*d^-1*c^-1*a^-1)^2*b*a,
  d*a^-1*(c^-1*b^-1)^2*a*d^-1*b^-1*a^-1*b^-1*c^-1*d^-1*b^-1*a*d*a*d^-1*b^-1*c\
^-1*d^-1*a^-1*c^-1*d^-1*a*c^-1*d^-1*c^-1*b^-1*d*b^-1*a^-1*c^-1*b*c^-1*d*b^-1*\
d^-1*c*d^-1*b*c^-1*a*d*c*a^-1*d*a*d*a^-1*d*b^-1*c^-1*b*a*b^-1,
  d^-1*b^-1*c^-1*d*a*d^-1*a^-1*b^-1*d*a*b*a^-1*c*b^-1*d*b^-1*a*d^-1*a^-1*d^-1\
*b^-1*a^-1*c*a^-1*d^-1*c^-1*d^-1*a*d^-1*c*b^-1*a*c*a^-1*d*a*d^-1*a^-1*b^-1*d*\
a^-1*c*b^-1*a*b^-1*d^-1*b^-1*d*c*a^-1*b^-1*d^-1*c*a^-1*b*a,
  b^-1*(d^-1*a^-1)^2*d^-1*c*a^-1*d^-1*c^-1*a^-1*d*a*c*a^-1*b*c*d^-1*c^-1*b*a*\
b*d^-1*a*b^-1*d*a*c^-1*(d*a)^3*c^-1*a^-1*d*b^-1*a^-1*c*d^-1*a^-1*(c^-1*b)^2*a\
*d^-1*b^-1*a^-1*c*b^-1*c*d^-1*b^-1*c^-1,
  d*a*d*b^-1*a*b^-1*(d^-1*b)^2*c^-1*d^-1*c*a*c*d*c^-1*b^-1*a^-1*c*a*d^-1*a*b^\
-1*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d*a*d^-1*c\
^-1*a*b^-1*d^-1*a*c*b^-1*c*d^-1*a^-1*d*a^-1*b^-1*c^-1*a^-1,
  d*a^-1*(c^-1*b^-1)^2*a*d*b*a^-1*(d^-1*a)^2*d*c^-1*b*d^-1*a*b^-1*c^-1*d*b^-1\
*c^-1*b^-1*a^-1*b^-1*d^-1*a*c*a^-1*d*a^-1*b*a*d*c*d*a*d*b^-1*c^-1*b^-1*a^-1*b\
*d*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*a^-1*c*a,
  b*c^-1*b*d*a*b^-1*c^-1*d*b*d*b^-1*a^-1*c^-1*b^-1*d*b^-1*c^-1*d^-1*a^-1*c^-1\
*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b*a^-1*d*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c^\
-1*b*c^-1*a^-1*(d^-1*a)^2*c*a^-1*d^-1*b^-1*a^-1*c*d^-1*a^-1*c^-1,
  d*a*d*c^-1*a*c^-1*d^-1*a*b*c*d^-1*b^-1*d^-1*a*b^-1*a^-1*d*a^-1*b^-1*c^-1*d^\
-1*a^-1*d*a*d^-1*c*a^-1*b^-1*c^-1*b^-1*d^-1*a^-1*c^-1*d^-1*a^-1*b^-1*a*d*a*b^\
-1*d*c^-1*b*a^-1*d*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1,
  d*b^-1*a^-1*d*b*d*c*b^-1*a^-1*d*c^-1*b*c*a^-1*b*a*d*b^-1*d^-1*c^-1*b^-1*a^-\
1*d*b^-1*c*b^-1*d*a^-1*b*c*b*c^-1*a*d^-1*b^-1*a*d^-1*c*a*(d*b^-1)^2*c*b^-1*a^\
-1*c*d^-1*a^-1*b*(d*a^-1)^2*b^-1*a,
  c*d*c*a*d^-1*c*b*a*b*d*a*c*b^-1*a^-1*d*a^-1*c^-1*d^-1*b*a^-1*d*a^-1*c*d^-1*\
c^-1*b*d^-1*c*b^-1*a*b*d^-1*a^-1*(b^-1*d^-1)^2*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*\
b^-1*d^-1*a^-1*b*d^-1*a^-1*c^-1*a*b^-1*a*d^-1*c^-1*b^-1,
  d^-1*b*d^-1*c^-1*b*a^-1*d^-1*c*a^-1*c*b^-1*a^-1*d*b*a^-1*c^-1*b^-1*c*d^-1*c\
^-1*b^-1*d^-1*a*b*c*d^-1*b^-1*d^-1*b*c*b^-1*a^-1*d*a*b^-1*d^-1*b^-1*d*a^-1*d^\
-1*c^-1*a^-1*c*b^-1*c^-1*d*a*d^-1*a^-1*b^-1*d^-1*b^-1*a^-1*c^-1*a*b*a,
  d^-1*a*b^-1*c*d*b^-1*d^-1*c*a^-1*b^-1*d^-1*c*(d^-1*a^-1)^2*b^-1*a*c^-1*a^-1\
*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*d*a*b^-1*d^-1*a*c*d^-1*a*c^-1*(d^-\
1*a)^2*d^-1*c*b^-1*c*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*c^-1*b*a^-1*b^-1,
  d*b^-1*d*a*d^-1*b*c*a^-1*b*a*d^-1*a^-1*c^-1*d^-1*c*b*c*a*d*a^-1*d^-1*c^-1*b\
^-1*c^-1*a^-1*d*a*b^-1*a^-1*(d^-1*b^-1*c^-1)^2*d*c*a*d^-1*a*c^-1*b^-1*c*b^-1*\
d^-1*a*b^-1*c^-1*d^-1*c*d^-1*a^-1*d*a^-1*d^-1*c^-1*b^-1,
  a^-1*c*b^-1*a*d^-1*a*c^-1*a^-1*b*c*d^-1*b^-1*d*b^-1*a^-1*b^-1*c*b^-1*d^-1*a\
*d^-1*b^-1*a*b^-1*d*a*d^-1*(c^-1*b)^2*a^-1*c*d^-1*a*b^-1*a^-1*d*a^-1*c^-1*d^-\
1*c*b^-1*d^-1*(b^-1*d^-1*b^-1*a^-1)^2*c*a^-1*d^-1*a*d,
  c^-1*b*d*a^-1*b^-1*d*b^-1*d^-1*c*a^-1*b*d*a^-1*c*b*c*d^-1*c*b*c^-1*b*d^-1*c\
*b^-1*c^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*b*(d^-1*b^-1*c^-1*b^-1)^2*c*a*c^-1*d\
^-1*a^-1*c^-1*d^-1*c*b*c^-1*b*d^-1*a^-1*c^-1*d^-1*b^-1*a,
  c*a^-1*d^-1*c*a^-1*d*b*a^-1*d*c^-1*a*c^-1*d^-1*a*b*c^-1*d^-1*b*d*a*b^-1*d^-\
1*a^-1*b^-1*c*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*b^-1*c*a*c^-1*b^-1*a^-\
1*d^-1*b*d^-1*b^-1*c^-1*d*a*d^-1*b*a^-1*c^-1*d^-1*c*b^-1*a^-1*d,
  a^-1*d*c^-1*(b*d)^2*a*c*b*c*a*b*d*c*a^-1*b^-1*d^-1*a^-1*c*a^-1*d*a^-1*d^-1*\
c*a^-1*c^-1*b*(a^-1*d^-1*c)^2*d^-1*a*d*a*b*a^-1*c^-1*d^-1*b*d^-1*a*b^-1*c^-1*\
d^-1*b*d^-1*b^-1*a^-1*b^-1*d^-1*c^-1*a*b,
  a*b^-1*a^-1*d^-1*c*(a*d^-1)^2*c*b^-1*c^-1*a*c^-1*d^-1*a^-1*d*a*c*b^-1*c^-1*\
a*d*b^-1*a*c^-1*(d^-1*b)^2*a*d^-1*b^-1*a*b*d*b^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a*\
d*a*b^-1*c^-1*a^-1*d^-1*c*d^-1*b^-1*c^-1*a^-1*d^-1*a*d,
  d*c^-1*b*d*a*b^-1*c*d*b*d^-1*a^-1*d^-1*a*c*b^-1*d*b^-1*a^-1*d^-1*c^-1*a^-1*\
d*a^-1*c^-1*a*b*a*d*a*b^-1*c^-1*b^-1*d^-1*b^-1*a^-1*d*c^-1*b^-1*c*a*b*a^-1*d*\
a^-1*d^-1*a*c^-1*b^-1*d*a*d^-1*b*a*(b^-1*c^-1)^2,
  a*b^-1*a^-1*c*a*b^-1*c*d*b*c*d^-1*c^-1*a*d^-1*a*b*a^-1*(d^-1*a*b^-1)^2*c^-1\
*a*d^-1*b*a*c*d^-1*b^-1*d*b^-1*a^-1*c^-1*d^-1*c*b^-1*c^-1*a*d^-1*b^-1*a*c^-1*\
d^-1*b^-1*d^-1*a^-1*b*a*d*a^-1*d^-1*b^-1*c^-1*a*d^-1,
  d*b^-1*d*c*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*b*c*b^-1*c^-1*a^-1*d*c^-1*a*d^-1\
*c^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^\
-1*b^-1*d*a*c*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c*d*b^-1*d*a^-1*b^-1*a*c*b^-1,
  a^-1*b*c*b^-1*a^-1*d*a*c*d*a*b^-1*c*b^-1*d^-1*b*d^-1*a^-1*d*c^-1*d^-1*b^-1*\
a*c^-1*(d^-1*b^-1)^2*a*d^-1*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*b^-1*(d^-1\
*a)^2*d*b^-1*c^-1*d*a^-1*c^-1*d^-1*b^-1*c*b^-1*c^-1*d*a*d,
  d^-1*a^-1*d*b*a*d*a*d^-1*c^-1*d^-1*c*a^-1*c*b*a*d^-1*b*c*(b*d^-1)^2*c^-1*a^\
-1*b^-1*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^\
-1*b*a^-1*d^-1*b^-1*c^-1*d^-1*a*b*a^-1*c^-1*(d^-1*b^-1)^2*c*a^-1*c^-1,
  c*b^-1*a^-1*d*a*b*c*d^-1*b^-1*d^-1*c*b*c^-1*b^-1*a^-1*(b*d*a)^2*c*d^-1*a*c*\
d^-1*b^-1*a*c^-1*d^-1*b*c^-1*b^-1*a*b^-1*d*a^-1*c*a*d^-1*a^-1*c^-1*b^-1*c^-1*\
d^-1*a^-1*b^-1*(d^-1*b^-1*a)^2*c^-1*d^-1*a^-1*b,
  b^-1*d*c*b*a^-1*d^-1*a^-1*b^-1*d*a*b^-1*d^-1*b*(d^-1*a)^2*c^-1*a^-1*b^-1*a*\
d^-1*a^-1*d*b^-1*d^-1*b^-1*c*b*c*a^-1*d^-1*c^-1*a*d*a*d^-1*b*c*b*c^-1*d^-1*c*\
a*d*a^-1*d^-1*a^-1*c*a*b*d^-1*a*d^-1*a^-1*b^-1*c^-1,
  c^-1*d^-1*a^-1*d*a^-1*c*b*c*a^-1*b*d*a^-1*d*b*(d^-1*a^-1)^2*b*d^-1*a*d*a*d^\
-1*a^-1*b*c^-1*d^-1*a*c*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*b^-1*c^-1*a*d^-1*b^-1*\
c*a^-1*d*b^-1*a*c^-1*d^-1*b*(c^-1*d^-1)^2*a*b^-1,
  a*c^-1*d*c^-1*b^-1*c^-1*b*d*c^-1*a*d*a^-1*d^-1*c*a^-1*d*c^-1*a^-1*b*a*c^-1*\
d^-1*a*d*a*d^-1*b^-1*(d^-1*a)^2*c^-1*a^-1*d^-1*b^-1*c*b^-1*d*a*b^-1*c*d^-1*b^\
-1*d*a*c^-1*b^-1*c*d^-1*c^-1*b^-1*c^-1*d^-1*(b^-1*c^-1)^2,
  b*a^-1*d*a*c^-1*b*d*a*d^-1*b*c*b^-1*a*d^-1*a^-1*b^-1*a*d^-1*b^-1*a^-1*d^-1*\
b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*b*c^-1*a^-1*d*b^-1*(a*d)^2*a*b^-1*a^-1*d\
^-1*c*a^-1*b^-1*a*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d,
  d^-1*c^-1*b*a*b*d*c*a^-1*(b*d^-1)^2*b*c*a^-1*d^-1*c^-1*b*c*b*d^-1*a*b^-1*c^\
-1*d^-1*b^-1*a^-1*d^-1*c*a^-1*d*a*d^-1*a^-1*c^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a\
^-1*d^-1*a*c*b^-1*a*b^-1*d*c^-1*a^-1*b^-1*d^-1*b^-1*d*a^-1*b^-1,
  (b^-1*d^-1)^2*c*b*a^-1*d*a^-1*c*b*d*c^-1*a^-1*d^-1*c^-1*(a^-1*d*b^-1)^2*a^-\
1*c*b^-1*a*d*b^-1*d^-1*b^-1*c*d^-1*c^-1*a*c^-1*d*c^-1*d^-1*c^-1*a*b^-1*a^-1*d\
*a*b^-1*d^-1*a*c^-1*d*a*b*d^-1*b^-1*d^-1*a^-1*d^-1*c^-1,
  d*c*a^-1*b^-1*d*b*d^-1*a^-1*b*a*c*b^-1*a^-1*d^-1*c^-1*a*d*a*b*d*a^-1*c^-1*b\
*d^-1*a^-1*b*d*a*d^-1*c*b^-1*c^-1*a*d*a*b*a^-1*c^-1*d^-1*b*a*b*d*b^-1*d^-1*c^\
-1*b^-1*a^-1*d^-1*(b^-1*c^-1)^2*d^-1*b^-1*a*b,
  a^-1*d*c^-1*b*a^-1*d^-1*b*c^-1*(d^-1*b^-1)^2*a^-1*b^-1*d*a^-1*b*c^-1*a^-1*c\
*b^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*a*b*a^-1*d*b^-1*c^-1*a^-1*d*a^-1*b^-1*a*d*b^-\
1*a*(b^-1*d^-1)^2*c^-1*b^-1*a*d*b^-1*c^-1*a*b^-1*d^-1*b^-1*c^-1,
  b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d^-1*c^-1*b*a^-1*c*d^-1*b^-1*a*b^-1*d^-1*a^-1\
*b*a*d*a*d^-1*b^-1*d*a^-1*c^-1*b^-1*c*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*a*b^-1*c\
*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d*b^-1*c*d^-1,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*c*b^-1*c*d*a*b*c*(d^-1*b^-1)^2*a^-1*c^-1*d\
^-1*a^-1*b^-1*a*c*b^-1*a^-1*d^-1*c*a^-1*d*b^-1*a^-1*d^-1*a*c*d*a*c^-1*b^-1*d*\
a^-1*d^-1*a^-1*c*b^-1*d*a*b^-1*c*d^-1*b^-1*d*a^-1*d,
  b^-1*c*b^-1*d^-1*(b*c)^2*d*c*a*d*c^-1*b^-1*c*d*a^-1*c^-1*d^-1*b^-1*c*b*c*d^\
-1*a^-1*c*a*d^-1*c*b^-1*c*b*d^-1*c*a*d^-1*c^-1*b^-1*d^-1*a^-1*b^-1*c*d^-1*a*d\
^-1*a^-1*b^-1*d*b^-1*d^-1*a*d^-1*b^-1*a*c^-1*a^-1*d^-1,
  (a*d)^2*c*a^-1*d*a^-1*d^-1*c*b^-1*c^-1*a*b^-1*d*b^-1*a*d^-1*b*a*c*d*b^-1*c^\
-1*b^-1*a^-1*d*a^-1*b^-1*a*d^-1*b*a^-1*c^-1*a*d*a*b*c^-1*a^-1*d*a^-1*c*a*d^-1\
*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*a*c*b^-1,
  d*a^-1*b*d^-1*a*c^-1*b*a^-1*d*b^-1*a*b*d*a^-1*b*d*a*b^-1*d^-1*a*c^-1*b^-1*d\
^-1*a*d*a^-1*b^-1*a^-1*c^-1*b^-1*a*d^-1*a^-1*b^-1*c^-1*b^-1*c*d^-1*b^-1*a*d*a\
^-1*d*a*c^-1*a^-1*b*c^-1*(b^-1*d^-1*a)^2*c^-1*d*a,
  d*b*d^-1*c^-1*b*a^-1*d*a^-1*b^-1*c^-1*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*a*d^-1\
*a*c*b^-1*d*a^-1*b^-1*d^-1*b^-1*c^-1*b^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*c*b^-1*c^\
-1*a*b*a^-1*d*a^-1*c*d^-1*(c^-1*b^-1)^2*d^-1*c^-1*a*c^-1*b*a,
  a*c^-1*d*c^-1*b^-1*a*c*a^-1*(b^-1*d^-1*a)^2*c^-1*d^-1*a*b*a*(d^-1*a^-1)^2*d\
^-1*b*a*(b*d^-1)^2*c*b*a^-1*d^-1*c^-1*b^-1*c^-1*d*a^-1*d^-1*b*a*(b^-1*d^-1)^2\
*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*d*c^-1*a^-1*b*c^-1,
  d^-1*a*b*a*c*d*a*b*d*a*c^-1*d*a*c*d*a*b^-1*a^-1*c*a^-1*d^-1*c*a*d^-1*a^-1*b\
*a*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*b^-1*d*c^-1*a*b^-1*a^-1*d*a*b\
^-1*d*a*c^-1*d^-1*b^-1*c^-1*b*a^-1*d^-1*a*b^-1*a^-1,
  b^-1*d^-1*c*(d*a^-1)^2*b^-1*d^-1*b*c^-1*d^-1*a^-1*c^-1*d^-1*c*b*c^-1*b*d^-1\
*a^-1*c^-1*d^-1*a*(b^-1*d^-1)^2*c^-1*a^-1*b^-1*d^-1*a^-1*c^-1*b*c*b^-1*d^-1*b\
^-1*a*d*b*a*c^-1*d^-1*c*b^-1*c^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*a^-1*b*a*c,
  b*a*c*b^-1*d^-1*a*b*c*d^-1*b*d^-1*c*b^-1*a^-1*c^-1*d^-1*a^-1*c^-1*b^-1*c*a^\
-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*d*b^-1*c^-1*d^-1*c*a*d*a^-1*c^-1*a*\
d^-1*b^-1*d^-1*c*a^-1*b^-1*d*a^-1*c^-1*d*c*a*d*b*a*c^-1*a^-1*d^-1,
  a^-1*b*c^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*c*b^-1*a*d^-1*c^-1*a*(b^-1*a^-1*d^-1)\
^2*b^-1*d^-1*c*b*a^-1*d^-1*b*c^-1*a^-1*d^-1*c*d^-1*a*d^-1*b^-1*a^-1*c*a*b^-1*\
d*a^-1*c^-1*b^-1*a^-1*b^-1*c^-1*d^-1*b*c*a^-1*d*a*d^-1*b*c*b^-1,
  a*c*d*a*b^-1*d*a*b*c*d^-1*b^-1*d^-1*b*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-\
1*a*b*(a*d^-1)^2*a*d*a*d^-1*b^-1*c*b^-1*c^-1*d^-1*c^-1*a*d^-1*b^-1*c^-1*d*c^-\
1*a^-1*d^-1*b^-1*a^-1*d^-1*a*d*a*b*d^-1*b^-1*c^-1*a^-1*c,
  a*(b^-1*d)^2*c*b^-1*a^-1*d^-1*a*b^-1*a^-1*c*a*b^-1*a^-1*d^-1*a*b*c^-1*d^-1*\
b*d^-1*b^-1*a^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c*b*c*d^-1*a^-1\
*d^-1*c*a*d^-1*a*b^-1*c*a^-1*d*c^-1*b^-1*a*c^-1*d^-1*a^-1*d*a^-1*b*d^-1,
  b*d^-1*a*b^-1*c^-1*(d*b)^2*a^-1*c^-1*b^-1*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1\
*a^-1*c^-1*b^-1*d^-1*a*b^-1*a*c^-1*a^-1*c*d^-1*a^-1*c*a*b^-1*c*d^-1*b^-1*c^-1\
*a*d*a^-1*b^-1*a^-1*c^-1*b^-1*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*a*c^-1*a^-1
    ,
  c*b^-1*a^-1*d*a^-1*b*d*a*b^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c*d*a*c^-1*\
d*b^-1*d^-1*b*c^-1*d*a^-1*c^-1*a*(b^-1*d)^2*c^-1*a^-1*b*d^-1*a^-1*c*b^-1*c^-1\
*a^-1*d*b^-1*a*(b^-1*d^-1)^2*c*b^-1*a^-1*d*a^-1*b^-1*c^-1*d,
  d*b^-1*d*c*b^-1*a^-1*d^-1*b*c^-1*a^-1*b^-1*a*d*b^-1*c^-1*b^-1*a^-1*d*a*b^-1\
*c*a^-1*d*a*b*a^-1*d^-1*c^-1*a^-1*d^-1*c*(b^-1*a^-1*d^-1)^2*b^-1*c^-1*b^-1*a^\
-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*a^-1*d^-1*c*a^-1*b^-1*a*c^-1*d^-1*c,
  b*c*d^-1*a*b^-1*c*d*b*d^-1*a^-1*b*a^-1*(d^-1*b*a)^2*c*d^-1*c*b*c^-1*a^-1*b*\
a*d^-1*c*a*b^-1*a^-1*d^-1*a^-1*(b^-1*c^-1)^2*a*d^-1*b^-1*a^-1*b^-1*d^-1*c*a*b\
^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d*a*c^-1*b^-1*a,
  c*d^-1*b*c^-1*b*d^-1*a*b*c*d^-1*b*d*a*(b^-1*a^-1*d)^2*b^-1*d^-1*c*b^-1*a^-1\
*d^-1*b^-1*c^-1*d*c*a*b^-1*c^-1*d*b^-1*a*(d^-1*a^-1)^2*d*a*b^-1*c^-1*b*a*d^-1\
*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*a^-1,
  b^-1*d^-1*c*b^-1*a*d^-1*a*b*a^-1*c^-1*a*d*b^-1*c^-1*d*a^-1*c^-1*d^-1*b*c*b*\
c^-1*d^-1*a^-1*c*b^-1*c^-1*d*a*d^-1*b*c^-1*d*a*c^-1*d*a^-1*b^-1*d*a*b*a^-1*d*\
a*d*a^-1*d^-1*a^-1*c*b^-1*d^-1*c*a*b*c^-1*b^-1*d*a,
  a^-1*d*c*a^-1*d^-1*a*c^-1*d*a^-1*c^-1*b^-1*d*a*d*a^-1*b*a^-1*c*a*d^-1*a*d*c\
*b^-1*c^-1*a^-1*d^-1*a*d^-1*c^-1*a^-1*b^-1*c*b^-1*c^-1*d^-1*b^-1*(d*c^-1*a^-1\
)^2*d*a*b^-1*c^-1*b^-1*d^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b,
  c*a^-1*d*b*a^-1*d^-1*b^-1*a^-1*d*c^-1*b*c^-1*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1*\
c^-1*b^-1*a^-1*d*a^-1*b*c^-1*b^-1*c^-1*a*d^-1*c^-1*a^-1*d^-1*c^-1*b*a^-1*d^-1\
*b^-1*d^-1*c*(b^-1*a^-1*d^-1)^2*a^-1*c^-1*a*b^-1*d^-1*b^-1*a^-1*d^-1*c^-1*a^-\
1*d^-1*b^-1*a^-1,
  d^-1*c^-1*a*b^-1*c^-1*(b*d^-1)^2*a^-1*d^-1*b^-1*a*c^-1*a*d^-1*b^-1*a*c*b*d^\
-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c^-1*b*d^-1*a*b^-1*c^-1*a*d^-1*b*(c^-1*d*a^-1\
)^2*d^-1*a*c*a^-1*b^-1*c^-1*b*d^-1*b^-1*a^-1*d*c^-1*a^-1*c*b,
  a*b*d*a*c*d*c*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1*b^\
-1*d*c^-1*b*a^-1*d^-1*(c^-1*b^-1)^2*d^-1*c^-1*d^-1*c*a^-1*c*d^-1*c^-1*b^-1*d^\
-1*b^-1*d*a*b^-1*d^-1*b^-1*a*c^-1*d^-1*c^-1*b^-1*a^-1*d*a*b^-1*d*a*c^-1,
  d*a*b*c*b^-1*a^-1*(d^-1*b^-1)^2*c*d*c*a*c*d^-1*c*a*d^-1*b^-1*c^-1*b^-1*d*a*\
b^-1*c^-1*d*b^-1*d^-1*b^-1*d*a*d^-1*b^-1*a^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1\
*d*a*c*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*c^-1,
  d*b^-1*d*c*b^-1*a^-1*d*b*c^-1*a*c^-1*b*d*a*b*c*d^-1*b*d*a^-1*b*d*b^-1*d^-1*\
c*b^-1*a^-1*d*a*b*a^-1*c^-1*b^-1*c*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-\
1*d^-1*a^-1*c^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*c*b^-1*a^-1*b^-1,
  a^-1*b*d*a*b*c^-1*a*c^-1*d*a*d*a^-1*b^-1*d*a^-1*d*a*c*b^-1*d^-1*a*d^-1*a^-1\
*b^-1*a^-1*c*b^-1*(c*d^-1)^2*c*a*b*a^-1*d*c^-1*a*d*a*b^-1*c^-1*a^-1*d^-1*a^-1\
*b^-1*c^-1*a^-1*d^-1*c*a^-1*d^-1*c^-1*d^-1*a*d^-1*c^-1*b,
  d*b*c*b*a^-1*c*a^-1*d*b*c*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*b*a^-1*c^-1*d\
^-1*c^-1*b^-1*c^-1*a*d^-1*a^-1*b^-1*d^-1*a*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*c^-1\
*a*d^-1*c*a^-1*b*a^-1*d*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1
    ,
  d^-1*c^-1*b*a*b*d^-1*c*a^-1*d*c*a^-1*d^-1*b^-1*a^-1*d*a*c^-1*a^-1*d*b^-1*a*\
d*a*b^-1*a*d^-1*a*b^-1*c*a^-1*d*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*d^-1*b\
*c^-1*b*a*d^-1*c^-1*b*a^-1*d*a*b*d^-1*a*c*d^-1*c^-1*a^-1,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*c*a^-1*d^-1*a^-1*(c^-1*b^-1)^2*d*a^-1*b^-1\
*c*(b^-1*c^-1*a*d^-1)^2*a*d^-1*c*b^-1*c^-1*a^-1*d^-1*b^-1*a*b^-1*d^-1*c*d^-1*\
b^-1*c*d*a^-1*b^-1*d^-1*c^-1*b^-1*c^-1*d^-1*c*(a^-1*b*d^-1)^2,
  d^-1*a^-1*d*a^-1*b^-1*c^-1*b*a^-1*d^-1*a*b*d*b^-1*d^-1*a^-1*d*c^-1*a^-1*d*c\
*b^-1*a^-1*d*a*b^-1*d*b^-1*a*c^-1*a*b^-1*d*a*d*b^-1*c^-1*b^-1*a^-1*d*b^-1*c^-\
1*a^-1*d^-1*a^-1*b^-1*a*c*b*c^-1*d*c^-1*a^-1*d*b^-1*a^-1*d*a*b^-1*c^-1,
  c^-1*b^-1*d^-1*b*a^-1*b^-1*c*b^-1*c^-1*d*a*b^-1*a^-1*d^-1*b^-1*a*d^-1*b*a*c\
*(a^-1*d^-1)^3*b^-1*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*c^-1*d^-1*a^-1*c*a\
*d^-1*a^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*a*c*a*d^-1*a^-1*d^-1*c^-1*b^-1*a*b^-\
1,
  a*d^-1*a^-1*c^-1*b*a^-1*d^-1*c^-1*a^-1*b^-1*d^-1*b^-1*c^-1*d*a*b^-1*d^-1*b^\
-1*c^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*c*a^-1*d^-1*a*b^-1*d^-1*a*c*\
d*b*c^-1*b*d^-1*a*b*c^-1*d*b^-1*d^-1*a*b^-1*a^-1*c^-1*d*c^-1*a^-1*d*c^-1*b^-1\
*c^-1,
  a^-1*d^-1*b*d^-1*b^-1*c^-1*d*a^-1*c*a^-1*d*b*d*b^-1*(d^-1*a^-1)^2*b^-1*a*d^\
-1*c^-1*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d*(b*c)^2*d^-1*c^-1*b^-1*a*c*a^-1*d^-1*\
b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c^-1*b^-1*a^-1*c*d^-1*b^-1*a^-1*b^-1*d^-1*\
a^-1*d^-1*b^-1,
  c*a^-1*b*a*d*a*b^-1*c*d*b*d*b^-1*a*d^-1*b*d*c^-1*b*a^-1*d^-1*b*a^-1*c*b*a*d\
*a*d^-1*a*c*(a^-1*d^-1)^2*c*d^-1*a*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^\
-1*(d^-1*b*a)^2*c*d^-1*c^-1*b^-1*c^-1*d^-1*b,
  b*c*d^-1*(a^-1*d)^2*a^-1*c*d^-1*c*a*b^-1*c*b*c^-1*a^-1*d*a*d^-1*b^-1*c^-1*a\
*d*b^-1*a*d^-1*a*b^-1*a*c^-1*d^-1*a^-1*c^-1*d^-1*c^-1*b^-1*d*c^-1*a^-1*c^-1*d\
^-1*b^-1*a^-1*c^-1*(b^-1*d^-1*a)^2*c*d^-1*c^-1*b^-1*a*d*a*c^-1,
  b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*a*c*d^-1*a^-1*c*a^-1*b^-1*c^-1*d^-1*a*\
b^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*a^-1*c^-1*b*d^-1*b^-1*a^-1*(d^-1*\
b^-1)^2*c*d^-1*c^-1*d^-1*b*a^-1*d^-1*b^-1*a*b^-1*c^-1*a*d^-1*a^-1*c^-1*d^-1*(\
c^-1*b^-1)^2*d^-1,
  d*a^-1*(c^-1*b^-1)^2*a*d*b*a^-1*d*a^-1*c^-1*b^-1*c*b^-1*a*d*c^-1*b^-1*a^-1*\
c*d*c^-1*a*c^-1*b^-1*(a^-1*c^-1*d)^2*a*b^-1*a^-1*b*a*d*b^-1*d^-1*c^-1*b^-1*a^\
-1*d^-1*b^-1*a*c^-1*a*d*c^-1*d^-1*a^-1*b^-1*c*a^-1*c^-1*b^-1*a^-1,
  b*a*d*b*c^-1*b*d^-1*c*a*d^-1*b^-1*a*b*c^-1*b^-1*c*d^-1*b*c^-1*d*a*c*d^-1*c^\
-1*a^-1*d^-1*b^-1*a^-1*d*a^-1*b*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b^\
-1*d^-1*a*(c^-1*d^-1*c^-1*a^-1)^2*c^-1*(d^-1*c)^2*a,
  b*a^-1*d^-1*b^-1*d^-1*b*a*c*d*a*b^-1*c*a^-1*(d^-1*b)^2*a*c*d^-1*a*c*a^-1*d*\
b^-1*a*d^-1*a*b*a^-1*c^-1*b^-1*c^-1*d^-1*c^-1*b*c^-1*b^-1*d^-1*b^-1*d*a*c^-1*\
a^-1*b*c^-1*d^-1*b^-1*c^-1*b^-1*d*a^-1*b*a*d^-1*c^-1*b^-1*c*a,
  a*c*d*a^-1*d*a*c^-1*b*a*b*c^-1*a*d*b^-1*d^-1*a^-1*d^-1*a*d*a^-1*c^-1*a^-1*b\
*a*d*a*b*d*a*c^-1*d^-1*a^-1*d^-1*b*c*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1\
*c^-1*b^-1*a*b^-1*d^-1*b*d^-1*c^-1*a^-1*b^-1*d^-1*a*b^-1*d^-1,
  c^-1*a^-1*b^-1*a^-1*c*a*d*a*c*(d*a^-1*b^-1*a^-1)^2*d*b*d^-1*c^-1*b*a^-1*d^-\
1*c^-1*b^-1*c^-1*b*a*d^-1*(b*c^-1)^2*d^-1*c^-1*a*d^-1*c^-1*(b*d^-1*a^-1)^2*b^\
-1*a*d^-1*b^-1*a^-1*c^-1*b*c^-1*a^-1*c^-1*d*a^-1*d^-1*a,
  c^-1*a^-1*b*a*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*b*c*b^-1*a*d^-1*c*b^-1*a^-1*b^\
-1*(d^-1*b^-1*a)^2*c^-1*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c^-1\
*(d^-1*b^-1)^2*d^-1*c^-1*a^-1*b^-1*c^-1*b^-1*d*c^-1*(a^-1*d^-1)^2*a^-1*b^-1*a\
^-1,
  d^-1*a*c^-1*d*c^-1*d^-1*(c^-1*b^-1)^2*(a*d^-1)^2*c^-1*b^-1*c^-1*(a^-1*d)^2*\
a^-1*b*c^-1*b^-1*a*d*(c*b)^2*d^-1*c^-1*a*d^-1*c^-1*b^-1*d*a*c*d^-1*b^-1*a*d*a\
^-1*d^-1*a*c^-1*b*c^-1*a^-1*b^-1*d*a^-1*d^-1*b^-1*c^-1*b^-1*a^-1,
  a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*b*c^-1*a*b^-1*d^-1*a^-1*(b^-1*c)^2*a*d*\
b*c^-1*d^-1*a^-1*c^-1*d*(c*b)^2*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*\
b*a*c^-1*a^-1*b^-1*d^-1*b*c^-1*b^-1*a*d*a*d^-1*b*c*d^-1*a^-1*b^-1*c,
  a^-1*c*d*c*b^-1*d^-1*b^-1*d*a*b*c^-1*a*d*b^-1*c^-1*b^-1*a^-1*d*b^-1*d^-1*b*\
a*c^-1*d^-1*b^-1*a*b*d^-1*a*d^-1*c^-1*b*c^-1*d*a*d^-1*b^-1*c^-1*a*d^-1*(c^-1*\
b^-1)^2*d^-1*c*a*d^-1*c^-1*(b^-1*d^-1)^2*c^-1*b*a^-1*d*b^-1*c^-1,
  a*d^-1*b^-1*a*b*d^-1*c^-1*a^-1*b*c^-1*d*c^-1*a^-1*b*(d^-1*b^-1*a^-1)^2*d^-1\
*c^-1*a^-1*b^-1*d^-1*b^-1*a^-1*c*a*d^-1*c^-1*d^-1*a^-1*d*a^-1*c^-1*d*b^-1*d^-\
1*c*a^-1*b*d^-1*a^-1*c^-1*b^-1*c^-1*d*a^-1*c*a*d^-1*c*a^-1*d*a^-1*c^-1*a*b,
  d*c^-1*b*c^-1*a*b^-1*a^-1*d*a*b^-1*c*d*b*d^-1*c*a^-1*d^-1*a*d^-1*c^-1*d*b^-\
1*c^-1*b*a*c^-1*d^-1*b*a^-1*c^-1*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b*a*c*a\
^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*c^-1*a*b^-1*d^-1*a^-1*d*b^-1*a^-1*c*a,
  d*b*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*c*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c\
^-1*d^-1*c*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*b^-1*d^\
-1*b*a*d^-1*b^-1*a*c^-1*d^-1*c^-1*b^-1*c^-1*d^-1*c*a*d*a*d^-1*a*b^-1*c^-1*a^-\
1*b^-1*a,
  d^-1*(a*d)^2*b^-1*d*a^-1*b*a*d*a*b*c*b*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*c^-1*\
d*c*a^-1*b^-1*a*d^-1*b^-1*a^-1*d^-1*(b^-1*a*c*d)^2*b^-1*d*a^-1*b^-1*a*d*b^-1*\
d*c^-1*b^-1*a^-1*d*c^-1*b*a*b*c^-1*a,
  b*d*a*d^-1*a*c*d^-1*a^-1*d*c*d*a^-1*c*d*b^-1*c*b^-1*d^-1*a^-1*b^-1*a*c*b^-1\
*d^-1*c*b*c^-1*d^-1*c*a^-1*b*d^-1*a^-1*b^-1*d^-1*b*c^-1*b^-1*d*a*(b*c^-1*d^-1\
*b^-1*d^-1)^2*c*b^-1*a^-1*d^-1*b*c^-1*b^-1*d*c^-1,
  c*d^-1*a^-1*c^-1*b*c^-1*d^-1*a*b^-1*d*a^-1*c^-1*a*b*d*a*c^-1*b*a^-1*d^-1*b*\
a*c*b^-1*c*a*d^-1*c^-1*a*(c^-1*b^-1*a^-1*d^-1)^2*c^-1*b^-1*c*a^-1*b*a*d*b^-1*\
d^-1*a*d^-1*c*(a^-1*d)^2*c*d^-1*a*d^-1*b^-1*a^-1,
  d*b^-1*c^-1*a^-1*b^-1*a*d^-1*a*c*d^-1*a*b*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b*\
a*d*c*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d*a*c^-1*a^-1*d*b^-1*a*c^-1*(d^-1*b^-1)^2*\
c^-1*b^-1*a*b*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c*b^-1*c^-1*a^-1*c,
  c^-1*d^-1*a*c^-1*a^-1*d^-1*a*b*d*(a*c^-1*d^-1)^2*(a*d)^2*b*c^-1*a^-1*d^-1*a\
^-1*b^-1*c^-1*d^-1*a*(d^-1*a^-1*c)^2*d^-1*(b^-1*c^-1)^2*d^-1*b^-1*c*b^-1*d^-1\
*b^-1*a*d*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*a,
  a*c^-1*d^-1*b^-1*c^-1*a*d*a^-1*b^-1*c^-1*b^-1*c*a*d*c^-1*a*c^-1*(b*d)^2*b^-\
1*c^-1*d*a^-1*c^-1*a^-1*d*b*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b*c^-1*b^-1*(a^-1*d)\
^2*b*c^-1*b^-1*d*a*b*c^-1*d*b^-1*d*a*b*a^-1*c*a^-1*d,
  b*c^-1*d*a*b*c^-1*d*b^-1*d*a*c*b^-1*a^-1*d*b*a*d^-1*b^-1*a*b^-1*c*d^-1*a^-1\
*d^-1*b^-1*c^-1*b^-1*d^-1*a*c^-1*a^-1*b*d^-1*c*a*c^-1*d*c^-1*a^-1*d^-1*b^-1*a\
^-1*d*c^-1*b^-1*(a*d^-1*c^-1)^2*b^-1*c^-1*b^-1*d*c^-1*a*d^-1*b^-1*c^-1,
  d*c^-1*a*b*a^-1*d*c^-1*a^-1*d*a*b*c^-1*b^-1*d*a*d*b*c*b^-1*a*d*a^-1*b^-1*d*\
b^-1*a*d^-1*b*a*c*d*c^-1*b*c^-1*d^-1*b^-1*d^-1*a^-1*b^-1*a*d^-1*b^-1*a^-1*d^-\
1*b^-1*d^-1*c^-1*b^-1*a^-1*d*c^-1*d*a^-1*c*d^-1*b^-1*c^-1*d^-1*c^-1*b^-1,
  a^-1*d*b^-1*d*c*b^-1*a^-1*d*b^-1*c^-1*a*d*b^-1*c*b^-1*c^-1*a*d*b^-1*a^-1*d^\
-1*a*c^-1*a^-1*d*c^-1*a^-1*(b^-1*d)^2*a^-1*b^-1*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*\
d*a*c*b^-1*a^-1*d^-1*c*a*d*(b^-1*c)^2*d^-1*c*a*d^-1*b^-1*c*b^-1,
  d^-1*a*c*d^-1*a*b^-1*d*(c*b)^2*d*c*a*d*c^-1*b^-1*a*c*d*b^-1*a^-1*d*b^-1*d^-\
1*b^-1*c*d^-1*a^-1*(c^-1*d^-1*a*b^-1)^2*d*c^-1*b^-1*a^-1*d^-1*c*b^-1*a*c^-1*a\
*d^-1*b^-1*c*a^-1*d*a^-1*d^-1*a^-1*d*a^-1*b^-1*a*c,
  b*c*b^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*b^-1*a^-1*c*b*a*d*(c^-1*b^-1)^2*d^-1*c^-\
1*a*d*c^-1*b^-1*d^-1*b^-1*a*d^-1*a*c^-1*a^-1*b^-1*a*d^-1*a^-1*d^-1*a*c^-1*b^-\
1*a^-1*d^-1*c*a*c^-1*d^-1*b^-1*a^-1*(d^-1*a*c^-1)^2*d*a*c^-1*d*a,
  b*a^-1*c*d*a*b*c*d*b*d*a*b^-1*a^-1*d*a*b*c^-1*a*c^-1*b^-1*d^-1*b^-1*c^-1*b^\
-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d*c^-1*d^-1*c*b*a^-1*c*b*c^-1*d^-1*b*d^-1*c^-1*\
b*a^-1*d^-1*b^-1*c^-1*b^-1*d*c^-1*a*b*d^-1*a^-1*d^-1*b^-1*c^-1*a*d,
  b^-1*c*a^-1*c*d^-1*c^-1*b*d^-1*b^-1*a*d^-1*b*c^-1*d^-1*c^-1*a*c^-1*d*b*a^-1\
*d^-1*a^-1*c^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b*d^-1*a*d*c^-1*a^-1*\
c*d^-1*a^-1*b^-1*a*d*a*c^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c^-1*b*a^-1*c^\
-1*d^-1*c^-1*b^-1*d^-1,
  d^-1*b*d^-1*a*c^-1*b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d^-1*b*c^-1*b^-1*d*c^-1*a\
^-1*c*b^-1*c^-1*d*a^-1*b^-1*c*b^-1*a^-1*d*a^-1*c*b^-1*c*d^-1*b^-1*a*d^-1*c^-1\
*b^-1*a^-1*d*a*b^-1*d*a*c*d*a*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1,
  d*a^-1*c*b*c^-1*a^-1*d*b*d^-1*b^-1*c*d*a^-1*c*d*b^-1*a*b*d^-1*b^-1*d*c^-1*b\
^-1*a^-1*d^-1*b*c*b*c^-1*a^-1*d*a*(c*b)^2*d^-1*a^-1*c^-1*d^-1*a^-1*b^-1*a*c^-\
1*b^-1*c^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c*b^-1*d^-1*b^-1*c*a,
  d*a^-1*b^-1*c^-1*d*a*d*(a^-1*d*c^-1)^2*a^-1*d*b^-1*a^-1*d^-1*b*a*d*b*d*c^-1\
*b^-1*a^-1*d^-1*b*c*a^-1*b^-1*d^-1*b^-1*d*c^-1*b*a^-1*d*a*c*b^-1*c^-1*a*b*a*d\
^-1*b*d*c*a^-1*b*d^-1*c^-1*a^-1*b*a*d^-1*b^-1*c*b^-1,
  a*(b^-1*d)^2*c*b^-1*a^-1*d^-1*a*b^-1*c*(b^-1*d^-1*a)^2*c*d^-1*b^-1*a*b*d^-1\
*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*a^-1*d^-1*b^-1*a*d*a*b^-1*c^-1*d*b^-1*c\
^-1*b^-1*d^-1*a^-1*b^-1*a^-1*c^-1*a^-1*d^-1*b*c^-1*d^-1*a*d^-1*a^-1*b^-1*d^-1\
*c^-1,
  a^-1*(c^-1*b^-1)^2*a*d*c*a^-1*b^-1*a^-1*d*a^-1*b^-1*a^-1*c^-1*a^-1*d*b*c^-1\
*d*a*d*c^-1*a^-1*b^-1*a*d^-1*b^-1*a*b^-1*(c^-1*d)^2*c^-1*b^-1*a^-1*d^-1*a*b*(\
a*d)^2*a*b*a^-1*b^-1*c^-1*a^-1*c*b^-1*d^-1*c^-1*a*d*c^-1*b^-1*d,
  (d^-1*a)^2*d^-1*a^-1*c*b*a^-1*d*a*b*d*a*c^-1*d*a*b^-1*d*a*b*c*d^-1*b^-1*d*a\
^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b*a*c*d^-1*b^-1*c^-1*b^-1*a^-1*d*c^-1*a\
*c^-1*b^-1*a*b*a^-1*d*a*b^-1*d^-1*c*a^-1*d*a*b^-1*a,
  a^-1*d^-1*b*d^-1*c*(b*a^-1*d^-1*c^-1)^2*a^-1*d^-1*b*a^-1*d*a*c^-1*b^-1*c^-1\
*d^-1*c^-1*b*a*d^-1*a^-1*c^-1*d^-1*c*d^-1*c^-1*b*c*a^-1*b*d^-1*c*a^-1*b^-1*a*\
c^-1*a^-1*d*a*c^-1*a^-1*d^-1*a^-1*b*a*d^-1*a*b^-1*d^-1*a*c^-1*b*c,
  d^-1*a*c*a^-1*b^-1*d*c*d*a^-1*d^-1*a^-1*b^-1*c*a^-1*c*d^-1*c^-1*b*a^-1*d*c^\
-1*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*b^-1*a^-1*c*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b\
^-1*c^-1*a*b*d^-1*b^-1*a*c^-1*d^-1*a*b*d^-1*a^-1*c*a*b^-1*a^-1*d^-1*b^-1*c^-1\
*a*b^-1,
  c^-1*a*d^-1*c^-1*b*d*a*b^-1*c^-1*d*b*d^-1*a*b*c^-1*b*(a^-1*d)^3*a*b*c*b*a*d\
*a*b*a*c^-1*a^-1*d^-1*a^-1*b*a^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*a*b*a^-1*c*d^-1*c\
^-1*b*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*b*a,
  b*d^-1*a*b*c^-1*d^-1*b*d^-1*a^-1*b^-1*a*c^-1*b^-1*c^-1*a*d^-1*b*d^-1*a*d^-1\
*b*a*c^-1*b^-1*c*a^-1*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d*(b^-1*c^-1)^2*d^-1*a^-1\
*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*c^-1*a*b*c^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d\
*b^-1*a,
  a^-1*d^-1*a*b^-1*d*a^-1*d^-1*a^-1*b^-1*d^-1*a*d^-1*c^-1*d^-1*c*a^-1*c*b*a*d\
^-1*c^-1*b*c^-1*d^-1*a*b*c*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1*c*a^-1*d*b^-1*d\
^-1*b*c^-1*d^-1*c^-1*a*c*d^-1*b^-1*a^-1*d*b^-1*d*c^-1*(b^-1*a^-1*d^-1)^2*b^-1\
*c,
  a*b*c*d^-1*a^-1*b^-1*d^-1*a*c*d*b^-1*c^-1*a*d^-1*a*b*d*a*c*d^-1*a*d^-1*a^-1\
*b^-1*c^-1*a^-1*d*a*b^-1*a^-1*c^-1*d^-1*c*a*b*a^-1*d^-1*b^-1*c^-1*d^-1*a^-1*c\
*d^-1*b^-1*c*(a^-1*d^-1)^2*c*b^-1*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1*b*d^-1,
  d*c^-1*a^-1*d^-1*a*d*a^-1*b*d*c*d^-1*a^-1*b^-1*a*c*b*c^-1*d^-1*a*c^-1*a^-1*\
d*c*(a^-1*d)^2*b^-1*a^-1*d*b*d^-1*c^-1*b^-1*a^-1*d*c^-1*b*c^-1*d^-1*a*b*c^-1*\
d^-1*b^-1*d^-1*c*a*c*b^-1*a^-1*d*a*b*c^-1*d^-1*b*d^-1*a^-1*c^-1,
  b*d^-1*c*a^-1*d^-1*a^-1*c*d^-1*(c*b)^2*d^-1*a^-1*c*d*a^-1*d^-1*a^-1*c*a*d^-\
1*b^-1*c*b^-1*c^-1*d^-1*c*a*d^-1*a*b^-1*a^-1*c^-1*b^-1*d^-1*(b^-1*c^-1)^2*d^-\
1*c^-1*a*d^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*c*a*b^-1*c^-1*d^-1*a*b^-1*a*c^-1,
  b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d*a^-1*d^-1*a^-1*d*b^-1*c*a*d^-1*b^-1*c*b^-1*\
c^-1*a^-1*d*b^-1*a*b^-1*c*a^-1*d*c^-1*d^-1*a*d*a^-1*b^-1*d*b^-1*c^-1*b^-1*d^-\
1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b*a^-1*c*b^-1*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-\
1,
  d^-1*(b^-1*d)^2*c*b^-1*a*b*c^-1*a^-1*d*a^-1*b^-1*c^-1*d^-1*a*d^-1*c*b^-1*a^\
-1*d^-1*a*b^-1*d*a*c*d^-1*a^-1*d^-1*c^-1*a*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*\
b*a^-1*b^-1*d^-1*a*d^-1*a^-1*d^-1*c^-1*b^-1*d*a*d^-1*c*a*b^-1*d^-1*b^-1*c^-1*\
b^-1*a,
  d*a^-1*c*b^-1*c*d*a^-1*c*d^-1*c^-1*b^-1*c*b^-1*(d^-1*a^-1)^3*d^-1*a*b^-1*d^\
-1*a*c^-1*d^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d*c*a^-1*d^-1\
*b^-1*a*d^-1*c^-1*b^-1*d^-1*c*a^-1*c*d^-1*c^-1*b^-1*d*b^-1*d^-1*a^-1*b^-1*d^-\
1*b^-1*c^-1,
  b^-1*c^-1*a*d^-1*(b^-1*c^-1)^2*d*c*a*d^-1*c^-1*b^-1*d^-1*c^-1*a*d^-1*a*c^-1\
*b^-1*a^-1*d*b^-1*c^-1*b^-1*d*a*b^-1*c*d*b^-1*d*c^-1*b*a*(d^-1*a*c^-1)^2*d*a*\
c^-1*d^-1*a^-1*d^-1*a*b*a^-1*d^-1*c^-1*a^-1*c*d*a*b^-1*c^-1*b^-1*d^-1,
  a*d*b*d*a*c*b^-1*c*a*b^-1*(d^-1*a)^2*d*a*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*\
b^-1*d*a*b*a^-1*d^-1*b^-1*a*c^-1*b^-1*c^-1*a*d^-1*b^-1*c*a^-1*d^-1*b*a*d^-1*c\
^-1*a^-1*(b^-1*d^-1)^2*b^-1*a*c^-1*b^-1*d^-1*a*d^-1*b^-1*c^-1*a^-1*b^-1,
  d^-1*b*(a*d^-1)^2*b^-1*a*b*d^-1*b^-1*c^-1*b^-1*c*d^-1*c^-1*a*d^-1*c*d^-1*c^\
-1*a^-1*d^-1*b*a^-1*d*a*b^-1*c^-1*b^-1*a^-1*b^-1*d*a^-1*c^-1*d^-1*a*b^-1*a^-1\
*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*a^-1*c*a^-1*d^-1*b^-1*a*c*d^-1*b^-\
1*d^-1*a^-1*b*a^-1,
  d^-1*a*b^-1*c*d*b^-1*d*a*b^-1*c^-1*a*c^-1*b^-1*d^-1*(b*d^-1*c^-1*a^-1)^2*b*\
c^-1*a*d*b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a*(b^-1*d^-1)^2*c*b*a^-1*d^-1*b^-1*c^-\
1*b^-1*d^-1*c^-1*a^-1*b*c^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*b^-1*c*b^-1*c^-1,
  c^-1*b*d*a*d*b^-1*a*c^-1*b*c^-1*a^-1*b*a*c^-1*b*c^-1*a*d*b*a*c^-1*b*(d^-1*a\
)^2*d*b^-1*a*b*d^-1*b^-1*(a*d^-1)^2*b^-1*(c*d*a^-1)^2*b^-1*d^-1*a*b^-1*a^-1*d\
^-1*b*d*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*d^-1*b^-1*a,
  a^-1*d^-1*b^-1*a*d^-1*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d*a*b*d*b*a*b*d*b^-1*d*c\
^-1*b^-1*a*d*c*a^-1*b^-1*c*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a*d^-1*b^-1*a^-1*d^-\
1*b^-1*d*a^-1*(c^-1*b)^2*a*d*(c^-1*a^-1*d^-1)^2*b^-1*(a^-1*d^-1)^2,
  d*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*b*a*b*c*d^-1*c^-1*d^-1*a^-1*d^-1*b^-1*d*a^-1\
*b^-1*a^-1*c^-1*a^-1*d^-1*c^-1*d^-1*a^-1*d*a*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-\
1*d^-1*b^-1*a*c^-1*d^-1*b^-1*d*a^-1*(d^-1*c^-1)^2*b^-1*a^-1*d^-1*a^-1*c*a*c^-\
1*b^-1*a*b^-1*c^-1,
  d*b*a*b*d*b*d^-1*b*c^-1*d*c^-1*a*c*d^-1*b^-1*a^-1*d*a*(b^-1*d^-1)^2*a^-1*d*\
c*d*b^-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*c*b^-1*c^-1*a*b^-1*d^-1*b^-1*\
a*c^-1*d^-1*b^-1*d^-1*b*a*d*a^-1*c^-1*a*d^-1*c^-1*a^-1*b^-1*d^-1*c^-1*b^-1,
  d^-1*a*c^-1*b*a^-1*d*c*a*c*d*a^-1*d*a*b*c^-1*b*a*d^-1*c*b*a^-1*d^-1*b^-1*d^\
-1*c*b^-1*a^-1*d^-1*b*c*b^-1*a*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*c^-\
1*a^-1*b^-1*d^-1*b*d^-1*b^-1*a*b^-1*c^-1*(a^-1*d)^2*a*d^-1*b*a^-1,
  a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d*b*d^-1*c*b*c*a*b^-1*(a*d^-1)^3*c*a^-1*b*c^-1\
*a*d^-1*b^-1*a*(b^-1*d^-1)^2*b^-1*c*d^-1*c*a*b^-1*c^-1*b^-1*d^-1*c*a*(d^-1*a^\
-1)^2*c^-1*a*b^-1*d^-1*a^-1*b^-1*a^-1*c^-1*d*a*b^-1*a^-1*c^-1,
  a*b*c^-1*d^-1*b*d*a*b^-1*c^-1*b*c^-1*a*c*d^-1*b*d*c*a^-1*b*d^-1*b*a^-1*c*b^\
-1*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*a^-\
1*c^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1*b^-1*a*b*d*a*c^-1*b^-1*c^-1*(d^-1*a^-1)^2*d
    ,
  c*d*c^-1*a*c^-1*d*c*a^-1*b*a*c^-1*b^-1*a^-1*d*a*c*b^-1*c^-1*a*d*a*b^-1*d^-1\
*a*b*c^-1*d^-1*b*d^-1*b^-1*d^-1*a^-1*d^-1*c^-1*b*a*d^-1*b^-1*d^-1*c*a^-1*(b^-\
1*d^-1)^2*b*c^-1*b^-1*d*a*b*c^-1*(d^-1*b)^2*a^-1*b*d^-1*a*b,
  a^-1*d*a*c*a^-1*b^-1*c^-1*d*a^-1*d^-1*b^-1*d*c*a^-1*b*d^-1*a^-1*c*b^-1*c^-1\
*d^-1*c^-1*a*d*a^-1*d^-1*a*c^-1*b^-1*a*b^-1*c^-1*a*(d^-1*a*c^-1)^2*d*c*b^-1*c\
^-1*b*a^-1*c*d^-1*c*b^-1*d*a^-1*d^-1*a*c^-1*d*c^-1*d^-1*a*c^-1*a^-1*d^-1,
  d*b*d^-1*c^-1*b*a^-1*d^-1*b*c*d*(a^-1*d^-1)^2*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*\
d*a*c^-1*d^-1*a^-1*c^-1*b^-1*a^-1*b^-1*c*a^-1*d^-1*a*b^-1*d*a*c*d^-1*b^-1*c*a\
*c^-1*d*a^-1*b^-1*a*d^-1*a*b^-1*c*b^-1*d*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1,
  a*b*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*a*b^-1*d^-1*c^-1*a^-1*b*c*d*a*(c^-1*d^-1\
)^2*a*d^-1*a*d*a*c^-1*b^-1*c*d^-1*a*b*c^-1*(d^-1*b^-1)^2*a^-1*b^-1*d*a*c^-1*b\
*a*b*c^-1*d^-1*a*b^-1*c^-1*(d^-1*b)^2*a^-1*b^-1*d^-1*c^-1*d^-1,
  d^-1*a*c^-1*(a*b^-1*d^-1)^2*a*c^-1*d^-1*a*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1\
*a*b*a^-1*d*b^-1*a^-1*d^-1*c*b*c^-1*b^-1*a*d^-1*c*a*d^-1*a^-1*b*c*b^-1*c*a*d^\
-1*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*d^-1*c*a*c,
  d^-1*a^-1*b^-1*a*c^-1*d^-1*a*d*c^-1*d*a*b*d*a*c^-1*d*a^-1*c*a*b^-1*d*b*c*b*\
c^-1*d*c^-1*a*b*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*a^-1*b*a*d^-1*b^-1*d^-1*\
c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b*c*a^-1*d^-1*a*c*a^-1*b^-1*d^-1*b^-1*c^-1*a,
  d*a^-1*c^-1*b*d*a^-1*d^-1*c*a*b*d*a*b^-1*d*a*c^-1*d^-1*c*b^-1*a^-1*(d*a)^2*\
c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a^-1*d*c*d^-1*b*a*c*d^-1*c^-1*b^-1*c^-1*d^-1*c*b\
^-1*c^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*c*b^-1*a^-1*b^-1*c^-1*a^-1,
  c^-1*b*(c*d^-1)^2*a^-1*c*a^-1*b*a^-1*d*a*b^-1*d*a*c*d^-1*c^-1*a^-1*b*a^-1*d\
^-1*a*b^-1*a^-1*d^-1*a^-1*b*d^-1*c^-1*d^-1*a^-1*c^-1*a^-1*d^-1*a*b^-1*c*d^-1*\
b^-1*d*a*b*a^-1*(d^-1*a)^2*c^-1*b^-1*a^-1*d*b^-1*a*c*d^-1*b^-1*d*b*a^-1,
  d*a^-1*b*(d^-1*a^-1)^2*d*a*b*a^-1*d*b*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*a*c^-1*b\
*a*d^-1*b*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*c^-1*a^-1*c*b^-1*a^-1*b^-1*c^-\
1*d*a^-1*d*a*(c*b)^2*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*c^-1*b^-1*d^-1*a^-1,
  c*b*a^-1*d*c*a*d*b*d*a*b*c^-1*d^-1*b^-1*d*a*b*d^-1*a^-1*b*a^-1*d^-1*b*d*c^-\
1*b*a^-1*d*c^-1*b*c^-1*a^-1*d^-1*b*c^-1*d^-1*a^-1*c^-1*d^-1*(b^-1*c^-1)^2*(d*\
a^-1*c)^2*d*c^-1*a^-1*d^-1*b*a^-1*d*a*b*c*d*b^-1,
  b*a^-1*d^-1*b*a*d*a*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1*b^-1*a^-1*b^-1*d*c*a\
^-1*d^-1*b^-1*c^-1*b*c^-1*a^-1*(b*d^-1)^2*c^-1*a^-1*b^-1*d^-1*c^-1*a^-1*d*a^-\
1*c^-1*d*c^-1*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*b*c^-1*b*a^-1*d*c*a*d*a*b^-1*c^-1\
*a^-1*d*a^-1,
  d^-1*b*d^-1*c^-1*b*a*d^-1*a*c^-1*b^-1*a^-1*d^-1*a^-1*c*d*b^-1*d^-1*a*d^-1*b\
^-1*a*c^-1*b^-1*c*a*d*a*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*c*b^-1*c^-1*d^-1*b^-1\
*d^-1*c*b^-1*c*a*d^-1*a^-1*c^-1*b^-1*a*c*d^-1*a^-1*c^-1*d^-1*a^-1*d^-1*c^-1*a\
*b^-1*c*b^-1,
  c*a^-1*d*b^-1*c^-1*b^-1*c*a^-1*b^-1*d^-1*a^-1*b^-1*c^-1*b*c^-1*a*d*b^-1*d*b\
*a^-1*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*b*d^-1*c^-1*a^-1*d*b^-\
1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*a*d^-1*a*b^-1*c*d^-1*c^-1*b^-1*d*c^-1*b^-1*\
c^-1*d^-1*b^-1*a*d,
  a*d^-1*a^-1*c^-1*b^-1*d^-1*a*d^-1*b^-1*a^-1*d^-1*a*c*b^-1*c*d^-1*a^-1*d*a^-\
1*c^-1*b^-1*d^-1*b^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d*b^-1*c^-1*a*d^-1*a^-1*\
b*d^-1*a^-1*d*b^-1*c*a*b^-1*d^-1*c*a^-1*c*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a\
^-1*b^-1*a*c,
  c*d*b*d^-1*c*b^-1*a^-1*d^-1*a*c^-1*a^-1*b*a*c*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^\
-1*d^-1*b^-1*c^-1*b*d^-1*c^-1*b*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c*(d^-1*a*b^-1\
)^2*c^-1*d*b^-1*d^-1*a*b^-1*c^-1*a*d^-1*b^-1*d^-1*b*c^-1*d^-1*a^-1*c*a^-1*d,
  b*d^-1*a^-1*c^-1*b*c^-1*d^-1*a^-1*b^-1*a*c^-1*a*b^-1*a^-1*d^-1*a*d^-1*b^-1*\
c^-1*b^-1*c*d^-1*c^-1*a*d^-1*a^-1*d*a^-1*c*a*b^-1*d^-1*a*c*a*d^-1*a*b^-1*a^-1\
*(d^-1*b^-1)^2*c^-1*d*c*a*c^-1*d^-1*b^-1*a^-1*d^-1*a^-1*c^-1*b^-1*c*a^-1*b*d^\
-1*a^-1*d^-1,
  a*c^-1*d*c^-1*b^-1*a^-1*d*b*c^-1*b^-1*d*a*b^-1*c*a^-1*d*a*d*c^-1*a^-1*d^-1*\
b^-1*c^-1*b*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a*b^-1*a^-1*c^-1*b^-1*d^-1*b^-1*a*\
c^-1*a*b^-1*d*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*a*d^-1*c^-1*b^-1*c^-1*a^-1*d*c*a*d
    ,
  c^-1*d^-1*a^-1*b^-1*d*b*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d^-1*a*b^\
-1*d*a*c*d^-1*a*c^-1*b^-1*a^-1*c^-1*(d^-1*a)^2*c^-1*d^-1*a^-1*d^-1*c*a*b^-1*d\
^-1*b^-1*c*b^-1*c^-1*d^-1*c^-1*a*d*a^-1*c*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a\
^-1*d*c^-1*b^-1,
  d^-1*b^-1*c^-1*b^-1*d^-1*a*b*c*d*b*d^-1*a*b^-1*c^-1*b*d^-1*b^-1*c^-1*b^-1*d\
^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b*d^-1*a*c^-1*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1*a*d\
^-1*b^-1*a*c*b^-1*d^-1*a*c^-1*d^-1*a*d^-1*c*a^-1*(b^-1*d)^2*a^-1*d^-1*a*c^-1*\
b^-1*d*b^-1,
  c^-1*b*d*a^-1*d*b^-1*c*a^-1*d*b^-1*d*c^-1*a*b^-1*c^-1*b^-1*a^-1*c*d*a^-1*b*\
c^-1*d*a*c*d*a^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*c*a^-1*c*b^-1*d\
^-1*(b^-1*c^-1)^2*a*c*d^-1*a*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*c*b^-1*c^-1*a,
  a^-1*d*b^-1*d*a*b^-1*c*d*a*b*d^-1*c*b*a^-1*d^-1*b^-1*c*d^-1*a*b^-1*c^-1*d^-\
1*b^-1*d*a*b^-1*d^-1*b*a*b*c*a^-1*b^-1*d^-1*c*a^-1*d^-1*a^-1*c^-1*d^-1*c*b^-1\
*a^-1*d*c^-1*a^-1*d*a*b^-1*d^-1*a^-1*d^-1*c^-1*b^-1*a*d^-1*a^-1*b*c^-1*b^-1*d\
^-1*c,
  c^-1*a*d*a^-1*c*b*c^-1*a^-1*b^-1*d*a^-1*d*b*c*a*d^-1*c^-1*b*c*b*d*c^-1*a*d*\
(b*c^-1)^2*d^-1*c*a^-1*d*b^-1*a*d^-1*b^-1*c^-1*a*c^-1*d^-1*a*b*a^-1*d^-1*a^-1\
*b^-1*d^-1*c^-1*d^-1*a*c^-1*a^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*a^-1*c^-1*a^-1*b^\
-1,
  b^-1*a^-1*d^-1*a^-1*b^-1*d*a*b*c^-1*a*d^-1*a*b*a^-1*c^-1*d^-1*a^-1*c*b*c^-1\
*d*a*c*b^-1*a^-1*d^-1*a*b*c^-1*d*b*d^-1*b^-1*a^-1*c^-1*b*c*a^-1*d*a*b^-1*d^-1\
*a*c^-1*d^-1*c^-1*b^-1*a*(b^-1*d^-1)^2*c^-1*b*a^-1*d*b^-1*a*d^-1*c^-1*d^-1*c,
  c*a*c*d*c^-1*d^-1*c*a^-1*d*c*b^-1*a*c^-1*d^-1*a*c^-1*d*c^-1*a^-1*d*b^-1*a^-\
1*d*a*b^-1*c^-1*b*d*a*c^-1*d^-1*a*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^\
-1*(a*d^-1)^3*b*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b*c*b^-1,
  a*b*a^-1*c*a*d*b*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*d*a^-1*d^-1*a*c*b^-1*d*a*d^-1\
*c^-1*a*b^-1*a^-1*c*a*b^-1*a^-1*d*a*b^-1*c^-1*d^-1*c*b^-1*a*d^-1*a*c^-1*a*b^-\
1*d^-1*c^-1*a^-1*b*d^-1*b*c^-1*a*b*a^-1*d*a*d^-1*(c^-1*b^-1)^2*d^-1,
  c*d*b^-1*d*c*a^-1*d^-1*a*d^-1*c^-1*a^-1*b^-1*a*d*b*d*c^-1*b^-1*a^-1*d^-1*b^\
-1*c^-1*b^-1*(d*a)^2*d^-1*b*c^-1*b^-1*d^-1*b*a*b*c^-1*a^-1*d*a^-1*c^-1*d^-1*b\
*a^-1*c^-1*b^-1*c^-1*d*a*c^-1*b^-1*a^-1*d*a^-1*c*a*b^-1*d^-1*b*c^-1*a^-1*c^-1\
*d^-1,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*c^-1*a^-1*d^-1*a^-1*b^-1*c^-1*d^-1*a*b^\
-1*c^-1*d*b*d^-1*a*b^-1*c^-1*a^-1*(d^-1*c)^2*a^-1*c*d^-1*c^-1*b^-1*d^-1*b^-1*\
c^-1*a*b*d^-1*a*c^-1*a^-1*d^-1*b^-1*c*a*c^-1*b^-1*d^-1*c^-1*a*d^-1*a*d*b^-1*c\
^-1*a^-1*d*b^-1*c^-1,
  a*b^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c*d*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c\
*d^-1*a*b*c^-1*d*b^-1*d*a*c^-1*d^-1*a*b*c^-1*d*b^-1*d^-1*a^-1*b*a*c*b^-1*d*a*\
b*c^-1*d^-1*c*a^-1*d*b^-1*a*b*c^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c*b^-1*c,
  a^-1*b*c*a^-1*d^-1*a*c*b^-1*a^-1*d^-1*a^-1*c*d^-1*c*b^-1*d^-1*a*d^-1*c*a^-1\
*d^-1*b*a^-1*c^-1*d^-1*a^-1*c*b^-1*c^-1*d^-1*b^-1*a^-1*d*c^-1*a*d^-1*a*b*c^-1\
*a^-1*d^-1*b*c^-1*b^-1*a^-1*d*c^-1*d*c*a^-1*(b*d^-1)^2*b^-1*a*c^-1*d^-1*a^-1*\
c^-1*a*d^-1,
  b*c*b*d^-1*b^-1*a^-1*c*b^-1*c^-1*a^-1*d*a*b^-1*d^-1*a*c*d^-1*a*d*c*a^-1*d*b\
^-1*a*d*c^-1*b*a^-1*d^-1*b^-1*c*d*b^-1*d^-1*a*c*b*d*a^-1*c^-1*a*d^-1*a^-1*c^-\
1*b*a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*b*a*c*a^-1*d*(a^-1*d^-1)^2,
  b^-1*a*b^-1*d^-1*b*d^-1*b^-1*c^-1*d*c*a*c*b*a*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1\
*c^-1*b*a^-1*d^-1*c*b^-1*c*d^-1*c*b^-1*c^-1*a^-1*c^-1*d^-1*a*b^-1*d^-1*a*c*d^\
-1*a*c^-1*d^-1*a*c*a^-1*b^-1*c*a*d*a*d^-1*c*d^-1*a^-1*d*b^-1*d^-1*a^-1*b^-1*a\
^-1*d^-1,
  a*b*d*a*b^-1*c^-1*d^-1*a^-1*c*d*(c^-1*b^-1)^2*d^-1*a*b*a^-1*d*b*d^-1*c^-1*b\
^-1*a^-1*d^-1*a^-1*c*a*b*a^-1*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a*d^-1\
*c^-1*a*b^-1*d*a^-1*b^-1*a*d*b^-1*a^-1*b^-1*d^-1*a*c^-1*b^-1*a^-1*d*a^-1*c^-1\
*b^-1,
  d*a*b*c*d*b^-1*d^-1*b^-1*a*c^-1*a*b*d*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*(d^-1*b\
^-1*a)^3*c^-1*d^-1*c*d^-1*a*b^-1*a^-1*(d^-1*c^-1*b^-1*a)^2*c^-1*a^-1*d^-1*a^-\
1*c^-1*a*d^-1*a^-1*b^-1*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d*b^-1*a^-1,
  d*a^-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*c*b^-1*(a*d)^2*a*c^-1*b^-1*a^\
-1*c*a*d^-1*c*b*a^-1*d*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*d*a*c*a^-1*b^-1*d\
^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b*a^-1*d*a*d*a^-1*c^-1*d*b^-1*c^-1*a^-1*d*a,
  b*a*d^-1*a*c^-1*b*a^-1*d*a^-1*c^-1*a*b*d*a*c^-1*d^-1*a*c*d^-1*b^-1*a*c*d^-1\
*b*a*d^-1*b^-1*c^-1*d^-1*c^-1*a*d^-1*a*b^-1*a*d^-1*a*c^-1*a^-1*b^-1*d^-1*b*a^\
-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d*a*b^-1*c*b^-1*a^-1*d*a^-1*b*a*d^-1*a*c^-1,
  c^-1*d^-1*a^-1*(c*b)^2*a*d*a^-1*b*d*a*b^-1*c*d*b^-1*(d^-1*b*a^-1*c)^2*(a*b^\
-1*c^-1*d^-1)^2*b*d^-1*a^-1*b^-1*a^-1*c^-1*d*a^-1*b^-1*a*d^-1*b*a^-1*d^-1*b^-\
1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*b^-1*a*b^-1*c^-1*a*d^-1*b^-1,
  b*c^-1*a^-1*d^-1*a*b*d^-1*a*c*d^-1*c*a*b^-1*d^-1*a*c^-1*a*d*a^-1*c*b*c^-1*d\
^-1*b^-1*d^-1*a*b*a^-1*d*a*b^-1*d*a*c*d^-1*b*c^-1*b*c*a*d*a^-1*d^-1*b^-1*c^-1\
*b*(d^-1*a)^2*d^-1*a^-1*c*a*b*a*d^-1*a^-1*d*a^-1*c*b*a^-1,
  b*c*d*a*b^-1*d*a*c^-1*a*b^-1*d^-1*a*c^-1*a^-1*d*c*b*a^-1*d*b^-1*c^-1*d^-1*b\
^-1*d^-1*a*b*d^-1*a^-1*b*a*d^-1*a*c^-1*b^-1*a^-1*d*b^-1*d^-1*c*(b^-1*a^-1*d)^\
2*b^-1*(d^-1*a)^2*c^-1*d^-1*a^-1*d^-1*c*b^-1*a*d^-1*a^-1*b^-1*d^-1*a^-1*d^-1,
  d^-1*a*b*c*d*b^-1*d*a^-1*c^-1*b^-1*d*c*a^-1*d^-1*c*a*d*a*c*a^-1*b*c^-1*d^-1\
*b^-1*d*a*c^-1*b^-1*c^-1*a*d^-1*c^-1*b^-1*d*a^-1*c*b^-1*c^-1*b^-1*d^-1*a*c^-1\
*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a*b*a^-1*c^-1*d^-1*a^-1*c*a\
^-1*d^-1*b^-1,
  b*d*a^-1*c^-1*b^-1*(d^-1*a)^2*b*a^-1*d*b^-1*c*d*c*a*d*c^-1*a^-1*c^-1*d^-1*a\
*d*b^-1*d^-1*b^-1*c^-1*d*c*a*d*c*b^-1*a^-1*c^-1*a*b^-1*a^-1*d^-1*c*a^-1*c^-1*\
b^-1*a^-1*d*a^-1*d^-1*a^-1*b^-1*c^-1*b^-1*c*d^-1*c^-1*a^-1*b^-1*d^-1*a*c^-1*a\
^-1*d^-1*a^-1,
  a*(d^-1*b^-1)^2*c^-1*d^-1*a^-1*c*d^-1*c*a*(b*d^-1)^2*(a^-1*d^-1)^2*a^-1*b^-\
1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a*c*(a^-1*d)^2*a*b^-1*c*d^-1*b^-1*d^-1*a*b*a^\
-1*d^-1*c^-1*b^-1*c*b^-1*a*d^-1*(c^-1*b^-1)^2*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1\
*c^-1*d^-1,
  c*d*a*b^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*c^-1*a*c^-1*d^-\
1*c^-1*a*c^-1*b*c^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*c^-1*b^-1*c*a*d^-1*b*c^-1\
*b^-1*c*a*d^-1*a*b^-1*a*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*(b^-1*c)^2*d^-1*c^-1*b^-\
1*a*d^-1*b^-1,
  d^-1*b*d^-1*a*b^-1*a^-1*c^-1*a*b^-1*c^-1*b^-1*d*a^-1*c^-1*d*(c^-1*b^-1)^2*d\
^-1*a^-1*b^-1*d^-1*b*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1\
*c*a*d^-1*c^-1*b^-1*a*c*a^-1*d^-1*c^-1*b^-1*d*a^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1\
*d^-1*b^-1*c*a^-1*c*d*c^-1*b,
  d*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*b^-1*d*b*c*d^-1*b*c^-1*b^-1*d*a*b*c^-1*\
d^-1*b^-1*c^-1*a*b^-1*a*d^-1*a*c^-1*d^-1*c*b*a^-1*d*b^-1*c^-1*b*a^-1*d^-1*b^-\
1*d*c^-1*b*a^-1*d^-1*(c^-1*b^-1)^2*a*d^-1*c^-1*a*(c*b^-1)^2*d^-1*a*c^-1*a^-1*\
b^-1,
  d^-1*a*b*c^-1*d^-1*b*d^-1*a*b*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a^-1*b^-1*a*c^\
-1*a*d^-1*b^-1*a*d*a^-1*d*c*b^-1*d^-1*c*b^-1*c^-1*d*c^-1*a^-1*b^-1*d*a^-1*b*d\
*b^-1*a*d^-1*a^-1*c*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*c^-1*d^-1*c*a*c^-1*d*\
a^-1,
  c^-1*(d*a)^2*d*c^-1*a*c^-1*d^-1*c^-1*a*d^-1*a^-1*c^-1*a^-1*b^-1*c*d*a*b^-1*\
c*d^-1*b*d^-1*a*b^-1*a*d^-1*c^-1*b^-1*a^-1*c*d^-1*a^-1*(b^-1*a*c^-1*d^-1)^2*b\
^-1*d^-1*b^-1*(a^-1*d^-1)^2*a*c^-1*a^-1*b^-1*a^-1*c^-1*a*d^-1*a*c^-1*d*a*d^-1
    ,
  d*a^-1*b*c^-1*b*c*a*d*c^-1*a^-1*d^-1*a^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d\
*a^-1*b^-1*a^-1*d^-1*b^-1*a^-1*d*c^-1*a*d*a*b^-1*c^-1*a^-1*d^-1*a*b*a^-1*c*d^\
-1*a*b^-1*d^-1*c^-1*a^-1*c^-1*d^-1*c^-1*b*d^-1*b^-1*d^-1*a*c^-1*b*c^-1*a*d*a*\
b^-1*a^-1*c^-1*b^-1,
  c^-1*d*a*c*b*a*d*a*d^-1*b*d^-1*c*a*c^-1*d^-1*a^-1*c^-1*d^-1*b*c*b^-1*a^-1*d\
^-1*c^-1*d^-1*b^-1*a*c^-1*d^-1*c*d^-1*a^-1*b*d*b^-1*a*d^-1*b^-1*a*c^-1*d^-1*c\
^-1*b*c*(d^-1*a^-1)^2*d*a*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*d^-1*a^-1*d*\
a^-1,
  d*b^-1*a*b*d*b*c^-1*d^-1*c^-1*a*c^-1*d^-1*b*d^-1*b^-1*a*d^-1*b*a*c^-1*d*c^-\
1*b*a*c^-1*d^-1*a^-1*d^-1*b*a*c^-1*d^-1*a^-1*b^-1*d^-1*b^-1*c*b^-1*a^-1*d*a*b\
^-1*d^-1*a*c^-1*d^-1*b*a*c^-1*a^-1*b^-1*a*c^-1*d^-1*b*a^-1*c^-1*a*b^-1*d^-1*a\
^-1*d*c^-1,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*a*b*d*a^-1*c*d*b*c*d*c^-1*a*b*c^-1*d^-1\
*a^-1*d*a^-1*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*a^-1*d*(a*d*c^-1)^2*b^-1*\
d*b^-1*d^-1*a*b^-1*a*d^-1*a*c^-1*d^-1*c^-1*a*d^-1*a*b^-1*c^-1*a^-1*d*a^-1,
  d*c^-1*b*a^-1*d^-1*b*c^-1*d^-1*b^-1*d^-1*b*a^-1*c*b*a*c^-1*d^-1*c*a^-1*c*d^\
-1*b^-1*a*b*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*a*d^-1*c^-1*a^-1*b^-1*d\
^-1*c^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1*c*a^-1*d^-1*a^-1*b\
*a*d^-1*b*a^-1*d*a*b^-1*a^-1,
  d^-1*c^-1*a*b^-1*c^-1*d*a^-1*c*a*d^-1*a^-1*b*c^-1*d^-1*a*b*c^-1*(d*b)^2*a^-\
1*d*a*c^-1*b^-1*d^-1*a*b*c^-1*d*b^-1*c^-1*a*b^-1*a*d^-1*a*c^-1*a^-1*d^-1*c^-1\
*a^-1*b*d*b*c^-1*a*d*b*d*c^-1*b^-1*a^-1*d^-1*b*c^-1*b*d^-1*b*c^-1*a^-1*c^-1,
  b^-1*d*a*c*a^-1*b*d^-1*b^-1*a^-1*c^-1*d*a^-1*b^-1*c^-1*b^-1*d^-1*a^-1*c^-1*\
b^-1*d^-1*b^-1*c^-1*(b^-1*a^-1*d)^2*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*a^-1*d^\
-1*b^-1*d*b^-1*c*d*a^-1*c*d*c^-1*b^-1*c^-1*a*c^-1*d^-1*b^-1*a^-1*d*c*a*d*a*b^\
-1*c^-1*a^-1*d,
  a^-1*d*a*d*c*b^-1*d*b^-1*d^-1*b*c*d*a*d*c*a*b^-1*a*c*d^-1*a*d^-1*a^-1*d^-1*\
b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a^-1*c*b^-1*a^-1*b^-1*c*d*a^-1*c*d^-1*b*c*\
b^-1*c*d^-1*a*c*a^-1*d^-1*a*(c*b^-1)^2*d*a*b^-1*c^-1*b^-1*d^-1*b^-1*d,
  a^-1*d*a*b^-1*c*(d*b^-1)^2*a^-1*d*c^-1*a^-1*d^-1*a*b^-1*c^-1*b*a*b*d^-1*c*a\
*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a^-1*b^-1*c^-1*b*\
a^-1*d^-1*a*d*c*a*c*d^-1*a*(b^-1*d)^2*a*b*c^-1*d*b^-1*d^-1*c^-1*a*c^-1*b,
  d*a^-1*b^-1*d^-1*a*d*c^-1*a^-1*b*a*c^-1*d^-1*a*d^-1*c^-1*b^-1*a*d*a*b*a*d^-\
1*b^-1*d^-1*c^-1*b*a^-1*d*c^-1*b*c^-1*b^-1*d^-1*c^-1*a^-1*d^-1*b*d^-1*b^-1*c^\
-1*d*a^-1*c^-1*a^-1*d^-1*c*a*d^-1*c^-1*b^-1*(d^-1*b)^2*a^-1*c^-1*d^-1*c^-1*a*\
d^-1*c^-1*a^-1*b,
  d*c*b*c*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1*a^-1*c^-1*a*d^-1*b*d*c^\
-1*b*a^-1*d*a*c^-1*b^-1*a*d*c^-1*b^-1*c^-1*a*d*a*b*a^-1*c^-1*a*b^-1*a^-1*c^-1\
*d^-1*(c^-1*b^-1)^2*d^-1*a*d^-1*b*(d^-1*a)^2*c^-1*d^-1*a^-1*d^-1*c^-1*a*b^-1*\
c^-1,
  c*d*c*a*b*c*a^-1*b*d^-1*a*d*c^-1*d*c*a^-1*c*b*a*d^-1*b*d*b*d^-1*c^-1*a^-1*b\
*d*c^-1*a*b*a^-1*d^-1*b^-1*d*a*c*b*a^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*a\
^-1*d*c*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*b^-1*a*d*a*b^-1*c^-1*d,
  c*b*c*d^-1*b^-1*d^-1*b*a*c*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*c\
^-1*a^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d*b^-1*c*b*a*c^-1*a^-1*d*b^-1*d^-1*c*b^-1*\
a^-1*(d^-1*a)^2*c^-1*b^-1*a^-1*d*a^-1*c*d^-1*c*b^-1*c*a^-1*b*d^-1*a*b^-1*d^-1\
*c^-1*a^-1,
  a*d*b^-1*c^-1*b*a^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*(b^-1*c^-1)^2*a*d^-1*c^-1*b^\
-1*c^-1*b*d*c^-1*a*d^-1*b*c^-1*a^-1*b*a*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*\
c^-1*b^-1*d*c^-1*a^-1*d^-1*a^-1*b^-1*c^-1*b^-1*a^-1*d^-1*a*d^-1*b*a^-1*d*a^-1\
*b^-1*a*d^-1*b^-1*c^-1,
  a*d*a^-1*b^-1*a^-1*c^-1*d*b^-1*d^-1*a*b^-1*d^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^\
-1*a*b^-1*c^-1*d^-1*(b^-1*d^-1*a)^3*c*d*a*b^-1*a*d^-1*a*d*a*b^-1*c^-1*a*c^-1*\
d*a^-1*c*b^-1*c*d^-1*b*a*d*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*d,
  a*d^-1*b^-1*c^-1*b*c^-1*d^-1*c^-1*a*d^-1*c*b^-1*c*d^-1*a*d^-1*b*a^-1*d^-1*b\
^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c*d^-1*a^-1*b^-1*c^-1*a*b^-1*d^-1*a*c^-1*a*d^-1*\
c*b^-1*d^-1*b*d*a*c*b^-1*c^-1*a*d*a*d^-1*c*d^-1*c^-1*a^-1*(b*d^-1)^2*c^-1*b^-\
1*a^-1*d^-1*c,
  d^-1*c^-1*b*a^-1*d*b*c*b*d^-1*(a*d)^2*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d\
^-1*c^-1*d^-1*a*c*d^-1*c*a^-1*c*d^-1*b^-1*d^-1*c^-1*b^-1*d^-1*c*a*d^-1*a*b^-1\
*c*a*b^-1*d*a*c*a^-1*b*c^-1*b*d*b^-1*d^-1*c^-1*a^-1*b*d^-1*c^-1*b^-1*c^-1*a^-\
1,
  a*b*d^-1*a*c*d^-1*a*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*a*c*b^-1*c^-1*a*d^-1*b^-\
1*c^-1*d^-1*a*c*d^-1*c*a^-1*d^-1*c^-1*a*b^-1*c^-1*d^-1*a^-1*(d^-1*b^-1*c^-1)^\
2*b^-1*d^-1*a*c^-1*d^-1*b^-1*c*a*c^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*a*c^-1*a^-1*b\
*c^-1,
  d^-1*a^-1*(d^-1*b^-1)^3*c^-1*d*a^-1*c*a^-1*d*b^-1*d^-1*a^-1*d^-1*c^-1*b*d^-\
1*c^-1*b^-1*a*c*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*(a^-1*d)^2*a\
*c^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*a*b*d^-1*c^-1*a^-1*d\
*b^-1*c^-1*a,
  a*d*c*b*c*d*c^-1*a*d*c^-1*d*a^-1*d*c^-1*b*a*d^-1*c^-1*a*b*c*b^-1*d^-1*a^-1*\
b*a*d^-1*c*a*c*d^-1*c*a^-1*b^-1*d*c^-1*a^-1*b*a^-1*d*(a^-1*b)^2*d^-1*a^-1*d*b\
*d^-1*c^-1*a^-1*b*d^-1*c^-1*a*d^-1*c^-1*a^-1*b*d^-1*c^-1*b^-1*d^-1,
  c^-1*a*d^-1*b^-1*d*c^-1*b*a^-1*d*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*\
d^-1*b^-1*c*d^-1*c^-1*a*b^-1*a*c^-1*d^-1*b^-1*a*c*(d*b^-1)^2*a^-1*c^-1*b^-1*(\
d*b^-1*a)^2*c*d^-1*a^-1*c^-1*d*c^-1*a^-1*b*d^-1*a*b^-1*c^-1*b^-1*d^-1*a*c*a^-\
1*b^-1*d*a^-1,
  d*a^-1*(c^-1*b^-1)^2*a*d^-1*c*a*b^-1*a^-1*d*c*b^-1*a*d^-1*c^-1*d^-1*b^-1*a*\
d^-1*b*a*c^-1*d*c^-1*b^-1*c*a^-1*d^-1*c^-1*b^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*(a^\
-1*d^-1*b^-1)^2*d^-1*c^-1*b*a^-1*d^-1*a*c^-1*b^-1*a*b^-1*c^-1*a*d*a*b^-1*a^-1\
*c^-1*b,
  c^-1*a^-1*c^-1*b*a*c*d*c*a^-1*d^-1*c^-1*d*b*c*b^-1*a^-1*c^-1*d*a*b^-1*c^-1*\
d^-1*(b^-1*d)^2*a*d^-1*c^-1*a*b*c^-1*b^-1*a*d*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1\
*d^-1*b^-1*d*a*b*a^-1*c^-1*d^-1*c*a^-1*c^-1*b^-1*d*a^-1*d*c^-1*a*b^-1*a*c^-1*\
b^-1*d,
  c^-1*b*a^-1*d^-1*a^-1*c*b*c^-1*a^-1*d^-1*b*a^-1*d*c^-1*a^-1*b*d^-1*b^-1*a*(\
b^-1*d^-1)^2*a*d^-1*a*c^-1*d^-1*a^-1*d*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-\
1*d^-1*c^-1*d*b^-1*c^-1*a^-1*d^-1*a*d^-1*b^-1*c^-1*b^-1*d^-1*a*b*c^-1*d*b^-1*\
d^-1*b^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1,
  c^-1*a^-1*d^-1*b*a^-1*b^-1*d^-1*c*b^-1*a*d*a*c^-1*a*b^-1*d*c*b*c*d^-1*c^-1*\
(a^-1*b^-1*d^-1)^2*a*c^-1*b^-1*a*d*a^-1*d*b^-1*a^-1*c*a*b^-1*c^-1*d^-1*c*a*b^\
-1*a^-1*d*a*c^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*b*a^-1*d^-1*b^-1*d*a^-1\
*b*a,
  d^-1*c^-1*d*c^-1*a*b^-1*d*(b^-1*a*d^-1)^2*a^-1*d*c^-1*d^-1*b^-1*d^-1*c^-1*b\
*a^-1*d^-1*b^-1*c*a^-1*d^-1*(c*b)^2*d^-1*c^-1*a*d*a^-1*d^-1*b^-1*d^-1*c^-1*b*\
a^-1*d*b^-1*c^-1*d^-1*c*a^-1*b*d^-1*b^-1*a*(b*d^-1)^2*c^-1*b*a^-1*d*c^-1*b^-1\
*c*a,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*b^-1*c^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a\
^-1*c*a^-1*b^-1*a^-1*d*a*c*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1*c*a*b^-1*c^-1*b^-1*d\
*a*b^-1*c*d*b^-1*d*a*b*a^-1*c^-1*a*d^-1*b^-1*a*b^-1*d^-1*b^-1*d*b^-1*c^-1*d*a\
^-1*c*d*a,
  d*a^-1*c^-1*b*a^-1*d*b*d^-1*c^-1*b*a^-1*d*c^-1*b^-1*c*d*a*b^-1*c*d^-1*b^-1*\
d*a^-1*b*a^-1*c*d*a^-1*c^-1*d^-1*a^-1*d^-1*b^-1*d^-1*c^-1*a^-1*c*d*c^-1*(b^-1\
*d^-1)^3*b*a*c^-1*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*a^-1*b^-1*\
a^-1*c^-1*b^-1,
  d^-1*b*d*c^-1*b*a^-1*d^-1*a^-1*b^-1*c*d*c^-1*b*d^-1*a*b^-1*c^-1*d*a*b^-1*c^\
-1*a^-1*d*b*d*c^-1*b^-1*a^-1*d^-1*a*d^-1*b*c^-1*b^-1*d^-1*a^-1*b^-1*a^-1*d^-1\
*a^-1*c^-1*b^-1*c^-1*b*a*d^-1*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c\
^-1*a^-1*d^-1*a*b^-1*a^-1*c^-1,
  d*a^-1*b*(d^-1*a^-1)^2*b*d*b*c^-1*d^-1*a^-1*c*d^-1*c*a*c*d^-1*c^-1*a^-1*b^-\
1*d^-1*c*a*b^-1*a^-1*d*b*d^-1*c*b*a^-1*d*a*c^-1*a^-1*b^-1*a^-1*c*a*c^-1*b^-1*\
c*a*d^-1*b^-1*a*c^-1*d^-1*b*d^-1*c*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b*a^-1
    ,
  d*c^-1*b*a*d^-1*b^-1*d*a*b^-1*c*(d^-1*b^-1)^2*c*b^-1*a*c^-1*a*d^-1*b^-1*d^-\
1*c*a*b^-1*a^-1*d^-1*b^-1*c*a*d^-1*c*b^-1*a*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*(c*b\
)^2*d^-1*c*a*b^-1*c^-1*d*b^-1*a*c*b^-1*a^-1*d*a*b*d^-1*a*c*d^-1*a,
  b*c*b^-1*d*a*d*a^-1*c*a*d*a*b^-1*d*a*c*d*b^-1*c*b^-1*d^-1*a^-1*b*a*d*c*a^-1\
*b*a*c^-1*a^-1*(d^-1*a)^2*b*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*a^\
-1*c*d*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b*d^-1*c^-1*a*d^-1*b^-1*a^-1*d^-1*b*a^-1
    ,
  d^-1*b*d^-1*c^-1*b*a^-1*d^-1*c*d*a^-1*c*d*c^-1*b^-1*c^-1*b*d*a^-1*(d^-1*b^-\
1)^2*c^-1*a^-1*d^-1*a*b^-1*a^-1*d^-1*a^-1*b*(a*c*d^-1*b^-1)^2*d*a^-1*c*b^-1*c\
^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*b^-1*c^-1*b^-1*d^-1*b^-1*a*\
b^-1*c*a,
  d*c^-1*a*b*c^-1*d^-1*a^-1*b*a*c*d^-1*a^-1*b*c^-1*d*b^-1*d^-1*b^-1*a^-1*d^-1\
*(a^-1*d)^2*b^-1*a*(b*d^-1)^2*c*b^-1*a^-1*d*c^-1*b*c^-1*b^-1*a*b^-1*d^-1*a*c^\
-1*b*a^-1*b^-1*d*b^-1*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d*a*b*a*d^-1*b^-1*c^-1
    ,
  c^-1*a*b*c*b^-1*a^-1*d^-1*a*b*d^-1*a*c^-1*d^-1*a*d^-1*a^-1*c^-1*d*(c^-1*b^-\
1)^2*d*a^-1*b^-1*a^-1*d^-1*b*a*c^-1*a*d^-1*b^-1*d*b^-1*c^-1*d*a^-1*c^-1*d^-1*\
a^-1*c*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a^-1*d*c*a^-1*d*b^-1*a^-1*d*a*b*c^\
-1*b^-1*d,
  d^-1*a*d^-1*a^-1*d*c*b*c*d*a*d^-1*c^-1*b*a^-1*b^-1*c^-1*d^-1*a^-1*(d^-1*a)^\
2*c*d*b*a*c*b*a^-1*d*c^-1*b*c^-1*d^-1*a*b*c^-1*(d^-1*b)^2*a*d*c^-1*a^-1*d*b*a\
^-1*d^-1*a^-1*b*c^-1*a^-1*c^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1,
  c^-1*a*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*a*d^-1*b*d^-1*a^-1*b*d^-1*c^-1*b*a^-1*d\
^-1*b^-1*c^-1*b^-1*d^-1*c^-1*b*d^-1*b*a*c^-1*a^-1*d^-1*a^-1*d*a*b^-1*c^-1*b^-\
1*d^-1*a*d*a^-1*b^-1*c^-1*b^-1*a^-1*c^-1*d^-1*a^-1*b*a*d^-1*b^-1*a^-1*d^-1*b^\
-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b*a,
  d^-1*a^-1*(c^-1*b^-1)^2*a*c*d^-1*a^-1*c*d^-1*c*b^-1*c*d*c^-1*a^-1*b*d^-1*a^\
-1*b^-1*d*c^-1*b^-1*a*b^-1*c*d*c^-1*d*a*c^-1*d^-1*a^-1*(b^-1*d)^2*b^-1*a*d^-1\
*b^-1*a*c*d^-1*c^-1*b^-1*d*c^-1*d*b^-1*a*d^-1*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d*\
a*b,
  d*b*d^-1*b*a*c^-1*a*b^-1*a*d^-1*a*b^-1*c*d*b^-1*d*a*d^-1*a*b^-1*c^-1*d*b^-1\
*d*a^-1*b*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b*a*c^-1*b^-1*c^-1\
*d^-1*a*d^-1*b^-1*d^-1*a^-1*b^-1*c^-1*d^-1*a*d^-1*a^-1*b^-1*d^-1*b^-1*d*c^-1*\
a^-1*c*d^-1*c^-1*b,
  d^-1*c*a^-1*d^-1*a^-1*c*b*a^-1*b^-1*c^-1*a^-1*d^-1*a*b^-1*d*a*c*d^-1*a*b^-1\
*d^-1*b^-1*d*c*a^-1*b^-1*d^-1*c*(d^-1*c*b^-1*a^-1*b^-1)^2*d*a*b^-1*c^-1*d*b^-\
1*d*a*b*a^-1*d^-1*c^-1*b^-1*a*d^-1*a^-1*c^-1*(a*d)^3*b^-1*d^-1*c^-1,
  c^-1*d^-1*b^-1*c^-1*b*a^-1*c^-1*d^-1*b^-1*a*b*d*b^-1*d*c^-1*b^-1*a^-1*d*c^-\
1*b^-1*c^-1*a*b^-1*(d*b^-1*a)^2*c*d*c*b^-1*c^-1*d*a^-1*b^-1*a^-1*c^-1*d*b^-1*\
d*a*b^-1*(a^-1*d^-1)^2*a^-1*d*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*c\
^-1*b^-1*d,
  d*a*d^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b*c^-1*d*b^-1*a*d^-1*a\
^-1*d^-1*c*b^-1*d^-1*b^-1*a*c*a^-1*d^-1*a^-1*c^-1*a*b*c^-1*d*b^-1*c^-1*a*d*a*\
d^-1*c*d*c*a^-1*d^-1*b^-1*a^-1*d^-1*c*b^-1*c^-1*a*c^-1*d^-1*b^-1*a^-1*d*a^-1*\
c^-1*b^-1*c*a^-1*c^-1,
  b*c^-1*b*d*a^-1*c*a*d*a^-1*b*c*b^-1*d*a^-1*c^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1*\
a^-1*c*b^-1*d^-1*a^-1*d*a^-1*(d*c^-1*b^-1*a^-1*d*b^-1)^2*a^-1*d*a*c*a^-1*b*d*\
a*b*c^-1*d^-1*b^-1*d^-1*a*c*b^-1*a^-1*d^-1*b^-1*d^-1*b*c^-1*a*d^-1,
  b*d*b^-1*a*c*d*a^-1*b*(d^-1*b^-1)^2*c^-1*d*c^-1*a*d*c^-1*d^-1*c^-1*b^-1*d^-\
1*b^-1*c^-1*b*c^-1*d^-1*a*b^-1*c^-1*d^-1*b*d*a*c*b*d^-1*a*b*c^-1*(d^-1*b)^2*c\
^-1*b^-1*a*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*d*a*c^-1*b^-1*a^-1*d*a^-\
1*c,
  (c^-1*a*d^-1*a)^2*d*b*d*b^-1*a^-1*d*a*c^-1*b*c^-1*d*a*b*c^-1*d^-1*b^-1*d^-1\
*b*a^-1*b^-1*c*b^-1*d^-1*a*d^-1*a^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1*c^-\
1*b^-1*a^-1*d^-1*b^-1*a^-1*d*a^-1*c^-1*a*d^-1*b^-1*c^-1*d*a*b^-1*c^-1*(d^-1*b\
^-1)^2*d^-1,
  a*c^-1*d^-1*b^-1*a^-1*c*a^-1*d*a^-1*c^-1*b*d*c*a*b^-1*c^-1*b*d*b^-1*d*c^-1*\
a^-1*d*a^-1*c*b^-1*c^-1*b*d*(b^-1*c)^2*(a*d)^2*a*b^-1*a*c^-1*a*d*a*b^-1*d^-1*\
a*c^-1*d^-1*a^-1*d*(b^-1*c^-1)^2*d^-1*c^-1*a*d^-1*b^-1*c^-1*b^-1*a*b*d^-1,
  c^-1*b*a*d*a^-1*b^-1*a*c^-1*d^-1*a^-1*(b^-1*c)^2*a*d*a*d^-1*c^-1*a^-1*d^-1*\
b*a^-1*d*a*b*c^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*b^-1*a*d\
^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*d^-1*b^-1*c^-1*d^-1*c\
^-1*a*d^-1*c^-1*a^-1*b*c^-1*d,
  a^-1*c*b*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*a*d^-1*a^-1*c*b^-1*c*b*d^-1*c\
^-1*a^-1*b^-1*d^-1*c^-1*b^-1*c^-1*d*a*b^-1*c*d*a^-1*d^-1*a^-1*b*d^-1*c^-1*b^-\
1*d^-1*a^-1*d*b^-1*c^-1*b^-1*d*a*b^-1*c*(d*b^-1)^2*a^-1*(d^-1*b^-1*a)^2*c^-1*\
d*c*b^-1*c^-1*d^-1,
  c^-1*d*c*a*b*d*b^-1*d*c*b*a^-1*(d^-1*a*b)^2*c^-1*(d^-1*b^-1)^2*a^-1*c*b^-1*\
(c*a*d*a^-1)^2*c*b^-1*a^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*a*b*a*c^-1*a^-1*c^\
-1*d*a*d^-1*a*c*(d*a^-1)^2*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d,
  b*d*b^-1*d^-1*c*a^-1*b^-1*d^-1*a^-1*c*b*c^-1*d^-1*a^-1*c^-1*b^-1*d^-1*a*(d^\
-1*b^-1)^2*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*c^-1*a*d*a*d^-1*a*d*a*c*b^-1*\
c^-1*a*b^-1*d^-1*c^-1*b^-1*c^-1*a*b^-1*(d^-1*a^-1)^2*b^-1*d^-1*b^-1*c*b^-1*d*\
a*b^-1*c^-1*d^-1*b^-1*d^-1,
  b^-1*(d*c^-1)^2*d^-1*c*b*c*d^-1*c*a^-1*b^-1*d*a^-1*b^-1*d^-1*b*a*d*a^-1*c*a\
*d*a*b^-1*d^-1*a*c*d^-1*a*b^-1*d^-1*a*b*c^-1*d*b^-1*d^-1*a^-1*d*a^-1*b^-1*a^-\
1*d^-1*b^-1*d^-1*b*c^-1*d*a^-1*b^-1*c^-1*b*c*a^-1*d*c^-1*d^-1*b*a^-1*b^-1*c^-\
1*b^-1*d^-1,
  c*d^-1*c*b^-1*d*a*d*a^-1*d*a*b^-1*c^-1*d^-1*b^-1*a^-1*d^-1*c^-1*d^-1*a*b^-1\
*c*a*c*d^-1*b^-1*d^-1*a*c^-1*a*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*c^-1*(d\
*b^-1*a)^2*c^-1*d^-1*c*b^-1*c^-1*d^-1*c^-1*b^-1*c*a^-1*d*b^-1*d^-1*c^-1*b*a^-\
1*d*a^-1*d^-1*a^-1,
  c*b*c^-1*a*b^-1*d^-1*a^-1*b^-1*c^-1*b^-1*(d^-1*a^-1)^2*b^-1*a^-1*d^-1*b^-1*\
d^-1*c^-1*b^-1*a^-1*d*c^-1*b^-1*c^-1*a^-1*b^-1*d^-1*b^-1*d*c^-1*a^-1*b^-1*d^-\
1*c*a*b^-1*a^-1*d*b^-1*d^-1*c^-1*a^-1*b*c^-1*b^-1*d*b*a^-1*d*b^-1*d^-1*c*b^-1\
*a^-1*d*b*a^-1*b^-1*c*a^-1*c*d*a,
  d^-1*c^-1*a^-1*b*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*a^-1*d^-1*a*b*c^-1*(d*\
b^-1)^2*a^-1*c^-1*b*c*a^-1*d*b^-1*c*d^-1*a^-1*c^-1*d^-1*c^-1*b*c*b^-1*d^-1*c^\
-1*b^-1*a*b^-1*d^-1*a^-1*d^-1*c*b^-1*c^-1*a^-1*d^-1*a^-1*b^-1*c^-1*d*a*b*c^-1\
*d*b^-1*d^-1*b^-1*a*c^-1*a,
  b^-1*d^-1*a^-1*c^-1*b^-1*c*a^-1*b^-1*d^-1*a*d*b*c^-1*b^-1*a^-1*d^-1*a*b^-1*\
d^-1*a*c*d*c*d^-1*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*d*a*c^-1*d^-1*c*a*d*a^-1*b*a*c\
^-1*b^-1*c*d*c^-1*a^-1*b^-1*d*a^-1*b^-1*d^-1*b^-1*a*d^-1*a*b*a*c^-1*a*b^-1*d*\
c^-1*a^-1*c,
  d*c^-1*a*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*a*c^-1*d*c*b*a^-1*d^-1*b^-1*a*d^-1*c^\
-1*b*c^-1*d^-1*b^-1*a*c*a^-1*d^-1*b*a^-1*d*a*b*c^-1*b^-1*d*a^-1*b*c*b^-1*d^-1\
*a^-1*d^-1*c^-1*a*c^-1*b*c^-1*d^-1*c^-1*a*d*c^-1*(b^-1*d^-1)^2*b^-1*a^-1*b^-1\
*d^-1*c^-1*a^-1*b^-1,
  c*b*a*d*c^-1*b^-1*c^-1*b*a^-1*b*d*c*b*c^-1*a*c^-1*b*a*d*a*c^-1*b*a^-1*d^-1*\
a^-1*c^-1*d^-1*a*(b^-1*d)^2*b^-1*a^-1*(b^-1*d)^2*c^-1*b^-1*a^-1*d*b^-1*c*d^-1\
*b^-1*a^-1*c^-1*b^-1*c*a^-1*b*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d*a*b^-1*d,
  d^-1*c^-1*a*d*c^-1*b^-1*d*a^-1*d^-1*a^-1*b^-1*d*b^-1*c*a*d*b*a*c*d^-1*b^-1*\
d*a^-1*c*b^-1*a^-1*b^-1*d^-1*b^-1*c^-1*b*c^-1*a^-1*d^-1*b^-1*d^-1*a*b*c^-1*d*\
b^-1*a^-1*d*c^-1*b^-1*d^-1*c^-1*b^-1*c^-1*a*d*c^-1*b^-1*a*d*b^-1*d*c^-1*b^-1*\
a^-1*d*a^-1*c^-1*b^-1*a,
  a*c*b*d*b^-1*d*a^-1*b^-1*a*d*b*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c*b*c*d*b^-1*c\
*b^-1*d^-1*a*b*c*d^-1*b^-1*d*b^-1*a*d^-1*b^-1*d^-1*c*a^-1*b*d*a^-1*b^-1*c*(a^\
-1*d^-1)^2*b^-1*c*(b^-1*d^-1)^2*c*b^-1*a^-1*d*a*d^-1*a^-1*b^-1*a^-1*d^-1*b^-1\
*c,
  b^-1*a^-1*d^-1*b^-1*d*c*(b^-1*a^-1*d^-1)^2*b^-1*a*d*c^-1*a^-1*b^-1*d*b^-1*d\
^-1*b^-1*a^-1*d^-1*a*c^-1*b^-1*c*a^-1*b^-1*a*d*b^-1*a^-1*b^-1*c*a*b*d*b^-1*a*\
d*a^-1*d*a*c^-1*b^-1*a*b^-1*a^-1*d*a^-1*d^-1*b*c*a*b^-1*a^-1*d*a*b*d*a*c^-1*d\
*a,
  d*a^-1*c^-1*b^-1*d^-1*a*d^-1*b^-1*c*d^-1*a^-1*c*d^-1*c^-1*a^-1*c^-1*d^-1*a*\
d*a^-1*d*b^-1*c^-1*d*a*c*d^-1*c*a^-1*d*b^-1*a^-1*c^-1*a*d*b*d^-1*a*b^-1*c^-1*\
d^-1*b*d^-1*b^-1*a^-1*c*a*d*c^-1*b^-1*c^-1*d*c^-1*a^-1*b*d^-1*a*b^-1*a^-1*c^-\
1*d^-1*b*d^-1*a*b*a^-1,
  d*b^-1*a*c^-1*d*c^-1*b^-1*c^-1*d^-1*c*b^-1*(d*a^-1)^2*d^-1*a^-1*b*a^-1*d^-1\
*b^-1*d*c*b^-1*a^-1*d*c^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a*d*a^-1*c^-1*b*d^-\
1*a*d^-1*b^-1*a^-1*d*c^-1*a*b*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*a*c^-1*a\
*d*a^-1*c*d^-1*b,
  d*a^-1*c^-1*b*c^-1*a^-1*b^-1*d^-1*a^-1*d^-1*b*c*d*a*d*b^-1*d^-1*a*b^-1*d*b^\
-1*c*a^-1*d*a*d*b^-1*(a*d^-1)^2*b^-1*c*d*a^-1*c^-1*d^-1*a*b*a^-1*c*d^-1*a^-1*\
b^-1*c*d^-1*a*d^-1*a^-1*b^-1*d^-1*b^-1*c^-1*a^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*d\
^-1*b^-1*d^-1*c*b^-1*a,
  b^-1*d^-1*a*b^-1*(d*a*c)^2*d^-1*a^-1*d^-1*b*c^-1*b^-1*a^-1*d^-1*a*b^-1*d^-1\
*b^-1*a^-1*c*d^-1*a*b*c*d^-1*b*d^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*\
d^-1*a^-1*b*a*d*b*d^-1*b*a*c*b^-1*d^-1*a*d^-1*b^-1*a*b*c^-1*b*d^-1*a^-1*b^-1*\
c^-1*b*d^-1,
  d^-1*a^-1*c*b*c^-1*a^-1*b^-1*d*a^-1*c*b*d*a*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c*\
d*b^-1*d^-1*c*b*c*b^-1*a*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*a*b^-1*c*d^-1*b^-1*c*b^\
-1*d*a*b^-1*c*d^-1*b^-1*d*a*b*a^-1*d^-1*c*a*d^-1*c^-1*b^-1*c*b^-1*d^-1*c*a*d^\
-1*c,
  c^-1*d*b^-1*c*b*a^-1*d^-1*a*b^-1*d*a*c*d^-1*c*b*a^-1*c^-1*d*a*b^-1*a^-1*c^-\
1*a*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*d*c*a*d*c^-1*b^-1*d^-1*b*d^-1*c*a*c*d^-\
1*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*(c*b)^2*d^-1*b^-1*d*a*c^-1*b^-1*d^-1*b^-1*a*b\
*d^-1*a,
  d^-1*a*d*a^-1*c*a*b*c*d^-1*a*b^-1*d^-1*a*c*d*b*c*a^-1*b*a*d^-1*b*d^-1*c*b^-\
1*a^-1*d^-1*b^-1*d*a^-1*b*c^-1*a*b^-1*a^-1*d^-1*a*b^-1*d*a*c*d^-1*a*b^-1*d^-1\
*(b^-1*c^-1)^2*d^-1*c^-1*a*d^-1*c*b^-1*d*c*a^-1*b^-1*d^-1*a*b^-1*a^-1*d^-1*c*\
a^-1,
  d^-1*a^-1*c^-1*b*a^-1*b^-1*d^-1*a*b*c*(d*b)^2*c^-1*b*c^-1*a^-1*b^-1*d*b^-1*\
d^-1*c^-1*d^-1*b^-1*a*c*a*d^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1*c^-1*d*a*d^-1*\
b^-1*c^-1*b^-1*a*d*a^-1*d^-1*a^-1*d*a^-1*b^-1*d*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*\
d*b^-1*d^-1*b^-1*a^-1*b^-1*c^-1,
  d*a*d^-1*c*a*b*a*c^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*d^-1*a\
^-1*d*a^-1*c*a^-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*c^-1*b^-1*a^-1*c^-1*a^-1*d^\
-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*(c^-1*d^-1)^2*b^-1*c^-1*a^-1*b*a\
*d^-1*c^-1*b*d^-1*a*b*c^-1*d^-1*b*d^-1*b^-1,
  (d^-1*a^-1)^2*b^-1*d*a*d^-1*a^-1*c^-1*a*d^-1*c^-1*b*d*b^-1*d^-1*b^-1*c^-1*a\
^-1*b^-1*a*d^-1*c*a*c^-1*b^-1*c^-1*d^-1*c*(a^-1*b^-1*d^-1)^2*a^-1*c^-1*b^-1*a\
*c*d^-1*b^-1*a^-1*d*a*b^-1*d*a*c*d^-1*c^-1*b^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1*a*\
c^-1*d^-1*b*a*c^-1*b^-1,
  c^-1*b*d*a*b^-1*c*d*b*d^-1*b*a*d^-1*c^-1*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-\
1*d*c^-1*b^-1*a*c^-1*a*b^-1*d*a*b^-1*c^-1*d*a*b^-1*d^-1*c^-1*a*b^-1*d*a*b^-1*\
d^-1*a^-1*b*d^-1*a*d*b*c^-1*d*a^-1*c^-1*d^-1*c*b^-1*c^-1*b^-1*d^-1*a^-1*c^-1*\
d^-1*a^-1*b^-1*d,
  b^-1*a*d*b^-1*a*c^-1*d^-1*c*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a*d^-1*b*d^-1*c^\
-1*b*a^-1*d^-1*b^-1*a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*b^-1*c*a^-1\
*d^-1*a^-1*b*c^-1*d^-1*a*d^-1*a^-1*b^-1*d^-1*a*c^-1*a^-1*d*a^-1*c*b^-1*d^-1*a\
*b*c^-1*d^-1*b*d^-1*b^-1*a^-1*d^-1,
  a^-1*b^-1*a*c^-1*b*d^-1*a^-1*d^-1*b*c^-1*a*c^-1*b*c^-1*a*b^-1*d*b*a*c^-1*d*\
b^-1*d^-1*a^-1*b*c^-1*d^-1*c^-1*b^-1*a*c^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*a*d^\
-1*c*b^-1*c^-1*b^-1*d^-1*c^-1*a*d*c^-1*b^-1*d^-1*a*b^-1*c^-1*b^-1*d*a*b*c^-1*\
d^-1*b^-1*d*c*a^-1*c^-1*d^-1,
  d^-1*b^-1*d^-1*a^-1*c^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c*b*c*a^-1*b*a^-1*d*a^-1\
*d^-1*a^-1*c^-1*a*b*c*d^-1*b^-1*c*d^-1*a^-1*c^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1*a\
^-1*c*d^-1*a*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*d^-1*b*a\
^-1*c*d^-1*a*d*c^-1*a^-1*b^-1*c^-1,
  b*d^-1*c*d*a*d^-1*b*c^-1*a*c^-1*d^-1*c*a*(d^-1*a^-1)^2*b^-1*a*d*b^-1*d^-1*c\
^-1*b*a*c^-1*d*b^-1*a*d^-1*a*b^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*b*a*d*b^-1*d\
^-1*b^-1*c*d^-1*c^-1*a*b^-1*c^-1*b^-1*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1\
*a^-1*d^-1*c^-1*d*a^-1,
  c*a*b^-1*c^-1*b*c^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*c^-1*a*c*d\
^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*b*c^-1*b^-1*(d^-1*a)^2*d^-1*c*a^-1*b*d^-1*b^-1*\
d^-1*c^-1*b^-1*a^-1*d*b^-1*d^-1*a*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*b^-1*c^-1*b^-\
1*a^-1*d*b^-1*d^-1*b^-1*a*b*c^-1*b^-1*d^-1,
  b*d^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*b^-1*c*d*b^-1*d^-1*c*b^-1*a^-1*d*a*b*a^-1\
*c^-1*a*(d*b^-1)^2*(c*d^-1*a^-1)^2*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1*d^-1*b^-1*d*\
c*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c*d^-1*a^-1*b*c*a^-1*d*b^-1*d^-1*c*a^-1*c*b^-\
1*a^-1*b^-1*c^-1*a^-1*d^-1*a,
  d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*b^-1*c^-1*a*c^-1*d^-1*b^-1*d^-1*c^-1*a^-1*b*\
d*a^-1*c*b*c*d^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d*(b^-1*a^-1*d^-1)^2*b^-1*d*c^-1*b\
^-1*a^-1*d^-1*b^-1*d*a^-1*b*a*d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*\
b^-1*a^-1*c^-1*a^-1*d^-1*b^-1*c^-1*b^-1*a*c,
  d^-1*a*b^-1*c^-1*d*b*d^-1*b*c*b*c^-1*a*b*d*b^-1*d^-1*c^-1*a^-1*b^-1*d*c^-1*\
d^-1*c^-1*a^-1*b*a*d*a^-1*d^-1*a*(d*b^-1*c^-1*a^-1)^2*b^-1*a*d^-1*a*b^-1*c^-1\
*d^-1*b^-1*d*b^-1*a*d^-1*a*b^-1*d^-1*c*a^-1*c*b^-1*c^-1*d^-1*a*d^-1*c*b^-1*c^\
-1*b*d^-1*c^-1,
  c^-1*d^-1*c^-1*a*d^-1*c*(b*d^-1)^2*a*b*a^-1*c^-1*d*a^-1*d*a*c^-1*d^-1*a*b^-\
1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b*d^-1*a*b^-1*a*c^-1*a^-1*c^-1*b*d^-1*a*b*c\
^-1*d*b^-1*d^-1*b^-1*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*(c^-1*b^-1*d^-1*a)^2*d^-1*\
b*c^-1*a^-1*b^-1*a*d^-1,
  c^-1*a*d*c*d*a^-1*b^-1*a*d*a^-1*b*c*(d^-1*b^-1)^2*c^-1*b^-1*c^-1*a*d^-1*b*d\
^-1*c^-1*b*a^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*(d^-1*b)^2*a*d*a^-1*b^-1*(a*c^-1*d\
^-1*b)^2*d^-1*b^-1*d^-1*c^-1*a^-1*d*(c^-1*b^-1)^2*a^-1*c^-1*d^-1*b*d*c^-1*b^-\
1*a^-1*d,
  c^-1*d*c^-1*b^-1*c*d^-1*a*b^-1*c^-1*d*b*d^-1*a*b*d*c*a^-1*c*d^-1*c^-1*(b^-1\
*d)^2*a*b*a*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a*c^-1*b^-1*d^-1*a^-1*d*a^-1*b^\
-1*d^-1*a^-1*b*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d\
^-1*c*a*b^-1*d*a^-1*b,
  d*a*b*d*a*c^-1*d*a^-1*b*a*c*b*d^-1*a*b^-1*c*d*(b^-1*d^-1)^2*c*a^-1*c*d*c*(b\
*d^-1)^2*a^-1*c^-1*a^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*c^-1*b^\
-1*c^-1*d*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*(b^-1*c^-1)^2*a^-1*b*d^-1*c^-1*a*b*c\
^-1,
  d*b^-1*c^-1*b^-1*a^-1*d*a*b*d*a*c^-1*d*a^-1*d*a*b*a^-1*d^-1*b*d^-1*c^-1*b*a\
^-1*d^-1*c*b^-1*c*a^-1*b*a*d^-1*b*d*c^-1*b*a^-1*d*c^-1*b^-1*a^-1*b^-1*d^-1*a^\
-1*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*d*a*b^-1*c^-1*d^-1*a^-1*c^-1*a*b^-1*c^-1*(d*a\
^-1)^2*c^-1*d^-1*c^-1,
  d^-1*b^-1*d^-1*c*a^-1*b*d^-1*a^-1*c*b^-1*c*d*c*a*b^-1*d^-1*b*d^-1*c*a^-1*b^\
-1*d^-1*a^-1*c*b^-1*c^-1*a^-1*b^-1*a*d^-1*a*b^-1*c^-1*d*a^-1*c*d^-1*c*b*c*b^-\
1*d*c*d^-1*a^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c*d*a*c^-1*d^-1*a^-1*c^-1*d\
^-1*c*b^-1*c^-1*b*a*c,
  b*c*b^-1*a^-1*d^-1*a*b^-1*d*a*c*(d^-1*a)^2*(d^-1*a^-1)^2*b^-1*a*c^-1*a*b^-1\
*d^-1*b^-1*d*c^-1*a^-1*b^-1*d^-1*a^-1*b^-1*d*c^-1*a*c*d*a^-1*d^-1*a*b^-1*c^-1\
*d*b^-1*d^-1*a*c^-1*a^-1*b^-1*d*c*a^-1*d^-1*b^-1*c^-1*d^-1*a*c^-1*d*c^-1*a^-1\
*d*b^-1*a^-1*d^-1*c^-1*a,
  b*c*b^-1*a^-1*c^-1*d*a*c*b*a^-1*c*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a^-1*c^-1\
*d*b^-1*d*c^-1*b^-1*a^-1*d*a^-1*b*c^-1*a*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a^-1*c^\
-1*d*c^-1*a^-1*b*a^-1*d^-1*a*d*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*c^-1*a^-1*b*a^-1\
*c*a*d*c^-1*d*c*a*b*d,
  b^-1*a*d*a^-1*c^-1*b*d*a*d^-1*b^-1*c^-1*a*d*b*a^-1*c*d*a*d*c^-1*b*a^-1*c^-1\
*d^-1*a*c*d^-1*b^-1*c^-1*a^-1*b*a*d^-1*b^-1*d^-1*c*b*a^-1*d^-1*c*d^-1*a^-1*c^\
-1*b^-1*d^-1*b^-1*a^-1*d*(a*d^-1)^2*c^-1*b^-1*a^-1*c^-1*d^-1*b^-1*d*a*b^-1*c^\
-1*d^-1*b^-1*d*a*c^-1,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*a*d^-1*a*d*c*b^-1*c*a^-1*d*c*b*a^-1*d^-1*b\
*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*d*a^-1*d^-1*a*b^-1*a*c^-1*d^-1*c^-1*a^-1*\
b*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*a*b^-1*d*b^-1*c^-1*a^-1*d*a*d^-1*c^-1*d*a\
*c^-1*d^-1*b^-1*a*b*c^-1,
  a^-1*d*b^-1*d*c*b^-1*a^-1*d*c^-1*b^-1*d^-1*a*b^-1*d*c^-1*d^-1*a*c^-1*a*b^-1\
*a*d^-1*a*c^-1*b^-1*a^-1*c^-1*a*b^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*d*a*c^-1*d*a*\
b*c^-1*a^-1*d*b^-1*c*b^-1*a^-1*d*a*b^-1*(d^-1*c^-1)^2*a*c*d*b^-1*d^-1*a*b^-1*\
c*d*b^-1*d^-1*b^-1,
  a*d*b*a*c*d*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b*c*d^-1*a*b*c*d^-1*b^-1*d^-\
1*b*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c*a*b^-1*d^-1*a*b^-1*d*a*c^-1*d\
^-1*b*a^-1*b^-1*c^-1*b^-1*c*a^-1*d^-1*a*b^-1*d*a*c^-1*d^-1*b*c^-1*b^-1*a^-1*d\
*a*b^-1*d^-1*a*c^-1*b^-1,
  d^-1*c*a^-1*c*b^-1*a*c^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*c^-1*b^-1*c*b^-1*a*c^-1\
*d^-1*b^-1*d*b*c^-1*b^-1*a^-1*c*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*c^-1\
*b*c^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*a*d^-1*b^-1*c^-1*b*a^-1*(d^-1*\
b^-1)^2*d^-1*c^-1*b*a^-1*d^-1*b*a,
  d*a*b*c^-1*(d^-1*b)^2*a^-1*b*d*a^-1*(b^-1*c)^2*a*d^-1*b^-1*c^-1*b^-1*a^-1*d\
^-1*a*b^-1*d^-1*a*c^-1*d^-1*b^-1*c^-1*d^-1*a*b*c^-1*(d*b^-1)^2*a^-1*b^-1*d^-1\
*b^-1*c*d^-1*c^-1*b*a*c*a^-1*d*b^-1*a^-1*d^-1*c*b^-1*a^-1*b^-1*c^-1*d^-1*a*b^\
-1*c^-1*d^-1*b^-1*d*a^-1,
  a^-1*b^-1*c*d*b*c*b^-1*a*c*d*b^-1*a*b*(d*b^-1)^2*c^-1*d^-1*a^-1*c^-1*a^-1*d\
^-1*b^-1*d*a^-1*c*b^-1*d*a*d*b^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*c*a*d*a*b^-1*c^-\
1*a^-1*d^-1*a^-1*b^-1*c^-1*a^-1*c*b^-1*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*\
b^-1*a^-1*b^-1*d*b^-1,
  a*c*d*b^-1*d*a^-1*d^-1*a^-1*b^-1*d^-1*a^-1*d^-1*b*c*b^-1*d^-1*a*b*c^-1*d^-1\
*b^-1*d^-1*b*c^-1*(b^-1*d^-1)^2*c^-1*b*a^-1*d^-1*a*c^-1*a*b*a^-1*d^-1*c^-1*a^\
-1*b^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*c^-1*a^-1*b*(d^-1*c^-1*a^-1)^2*d\
^-1*b^-1*a^-1*d^-1*c^-1*b^-1*d^-1*c*b,
  d*b*d^-1*c^-1*b*d^-1*a*b^-1*c*d*a*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c*(b^-1*d^-1\
)^2*c*b*a^-1*d^-1*b*a*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*c*a*d^-1*b*c^-1*(a^-1*d\
^-1)^3*c*d^-1*b^-1*a*c^-1*d^-1*b^-1*d^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1\
*a^-1*b^-1*c^-1*a^-1*c,
  d*c^-1*b*a^-1*d*c*b^-1*a^-1*b^-1*c^-1*d^-1*a*c*b^-1*a^-1*d^-1*a^-1*c^-1*a*b\
*d*a*c*d^-1*a*b^-1*d*a*c*b^-1*c^-1*a*c*d^-1*a*c^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1\
*d*a*c^-1*a*d^-1*b*a*c^-1*d^-1*b*d^-1*a^-1*b^-1*a^-1*d*c^-1*a^-1*d^-1*c^-1*a*\
b*c^-1*b^-1*d*a*c^-1,
  a^-1*(b^-1*d^-1)^2*c*a^-1*b*d*c^-1*b^-1*c*b^-1*a^-1*b*d^-1*a*b^-1*d^-1*a^-1\
*d^-1*b^-1*c^-1*a*d^-1*c*(a*d)^2*b^-1*c*(a^-1*d)^2*a*d^-1*a*b^-1*c*a^-1*b*a*d\
*(b^-1*d^-1*a)^2*c^-1*a*b^-1*a^-1*d^-1*c^-1*b^-1*d*a*d^-1*b*a*c^-1*b^-1*d^-1*\
c^-1*b^-1,
  c^-1*d^-1*(c^-1*b)^2*d^-1*a*b^-1*c^-1*d^-1*b*d*a*b^-1*a^-1*c^-1*b*a*d^-1*b*\
c^-1*d^-1*a^-1*c^-1*d^-1*(b*c^-1)^2*d^-1*b*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1\
*c^-1*b*a^-1*d^-1*c^-1*d^-1*b^-1*a*c*b^-1*a^-1*c^-1*d*a^-1*d^-1*a^-1*b*a^-1*c\
^-1*a^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b,
  a*d^-1*a*d*b^-1*a*d^-1*a*c^-1*d^-1*c*a*c*b^-1*a^-1*d*b*d^-1*c^-1*b^-1*a^-1*\
d^-1*b^-1*c^-1*b^-1*a*c^-1*d*b^-1*a*b^-1*d*b^-1*a*d^-1*b^-1*a*c^-1*d^-1*c^-1*\
b*c^-1*d^-1*c*a^-1*b*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*d^-1*a*b^-1*c^\
-1*d^-1*b^-1*d^-1*a^-1*c*a*b^-1*c^-1*b,
  b^-1*d^-1*a^-1*d*a^-1*b^-1*a*d*(c^-1*b^-1)^2*d^-1*a*b*a^-1*d^-1*b^-1*d^-1*c\
*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*b^-1*c^-1*a*d^-1*c^-\
1*d*b^-1*c*a*c*d^-1*b^-1*c^-1*a*c^-1*b^-1*a*d*b^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a\
^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c*d^-1,
  c^-1*a^-1*c*d*b*d*c^-1*b*a^-1*d*(b^-1*c)^2*d^-1*a*d^-1*a^-1*b*a*d^-1*a*b^-1\
*d*a*b^-1*a*d*a*c^-1*b^-1*a*b*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*\
d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*(b^-1*c^-1)^2*a^-1*b^-1*d^-1*a\
*b^-1*c^-1*d^-1*b*d^-1*c^-1*b^-1,
  d^-1*b^-1*c^-1*a*d^-1*c^-1*b*a*d^-1*a*b^-1*c^-1*b^-1*d*a*d*c*a^-1*c*b^-1*a^\
-1*d^-1*a*b*d*(a*c^-1*d^-1)^2*c*a*c*b^-1*a^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b*\
a^-1*b^-1*c^-1*d^-1*b^-1*c^-1*b^-1*c*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a^-1*b\
^-1*d^-1*c^-1*a*b^-1*d*a^-1,
  a^-1*d*c^-1*b*d*a*d^-1*c*a*b^-1*a*d*a^-1*b^-1*a*d^-1*b*d^-1*a^-1*b*a^-1*(d^\
-1*b^-1)^2*a*c^-1*a^-1*d*c*b*c^-1*a^-1*b^-1*a*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*b^\
-1*c^-1*b^-1*a*b*d^-1*a^-1*c^-1*a*b*a^-1*c^-1*b^-1*d^-1*c^-1*a*c*d*c^-1*a^-1*\
d^-1*b^-1*a^-1*d^-1*a*b,
  a^-1*c^-1*b^-1*c*a^-1*b^-1*d^-1*a^-1*d^-1*a*d*c^-1*b^-1*a^-1*d^-1*b*d*c*(b^\
-1*a^-1*d^-1)^2*a*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*a*\
b*a*c^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*b*c^-1*b^-1*c*a^-1*b^-1*d^-1*b*d^-1*c^-1*b\
^-1*a^-1*d*a*c^-1*b^-1*a*b^-1*c^-1*d^-1,
  d^-1*b*a*c^-1*d*c^-1*a^-1*d*b*a*c*d^-1*b^-1*d^-1*a*b^-1*a^-1*d*c^-1*b^-1*d^\
-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c\
^-1*d^-1*b*d^-1*c^-1*d*a*c^-1*a*d^-1*c^-1*b^-1*d^-1*b*d^-1*a*b^-1*c^-1*a*c^-1\
*b^-1*d^-1*b*a^-1*d^-1*b^-1*a^-1*b^-1*c^-1*b^-1,
  a*d^-1*c*b*c^-1*d*b^-1*d^-1*c^-1*a^-1*b*d*a^-1*c^-1*b^-1*c^-1*d^-1*c*a*c*b^\
-1*d*a*b^-1*c^-1*d*b^-1*d^-1*c^-1*a*c*b^-1*c^-1*d*a^-1*c^-1*b^-1*a^-1*d^-1*c^\
-1*a*c^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*d^-1*a*c*a^-1*b*a*c*d*b^-1*a*b*d*b^-1\
*d^-1*c*b^-1*a^-1*d*b^-1*c,
  a^-1*d*a*b*c*b^-1*d*c*a*d*a^-1*c*a*b^-1*d*a^-1*b^-1*a*d*a^-1*b*d*c^-1*b^-1*\
a^-1*d^-1*c*a^-1*d*a*b^-1*d^-1*a*c^-1*d*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^\
-1*b^-1*c*b^-1*c^-1*d^-1*a^-1*b^-1*c*a*d*a*b^-1*d*a*c^-1*d*b^-1*c^-1*b^-1*d*a\
^-1*b^-1*a*d*c^-1,
  a^-1*c*d*c^-1*b^-1*d*a*c*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*b*a^-1*d^-1\
*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*d^-1*a^-1*b*c^-1*d^-1*b^-1*d^-1*c*a^-1*b*d^-1*a\
^-1*c^-1*b^-1*c^-1*d^-1*c*a*b^-1*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d*b^-1*c^-1*d^-\
1*a*b^-1*c^-1*d^-1*b*d^-1*a*c^-1*a^-1*b*d^-1,
  a^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*a*b*c*d^-1*c*(d*a^-1)^2*c^-1*d^\
-1*b^-1*a*b^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b*c^-1*b^-1*c^-1*d^-1*a*b^-1*d^-1\
*b^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a*d*a*b^-1*d^-1*a*c^-1*d^-1*c*d^-1*a^-1*c^-1*a\
^-1*d^-1*c*b^-1*c^-1*a^-1*b*a*d^-1*a^-1*d,
  c^-1*d*a*b*a^-1*d*b^-1*d*c*b^-1*a^-1*d*c*b^-1*d^-1*b*c^-1*b^-1*d*a*b^-1*c^-\
1*d^-1*b^-1*d*a^-1*c*b^-1*c*d^-1*c^-1*(a^-1*b^-1*d^-1)^2*a^-1*b*c*d^-1*c^-1*b\
^-1*a^-1*d*b^-1*d^-1*b^-1*a*c^-1*d^-1*c^-1*d*b^-1*d^-1*b^-1*a*c*b^-1*d^-1*a*b\
^-1*c^-1*d^-1*b^-1*d^-1*c*b^-1,
  b^-1*a*c*b*a^-1*d*a*b^-1*c*d*b^-1*d*a*b*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*c^-\
1*a*b*a*d*a*c^-1*d*c^-1*b*a^-1*d*(c^-1*b^-1)^2*d*a^-1*d^-1*a^-1*b^-1*d^-1*b^-\
1*c^-1*b*d*a*b*c^-1*d*b^-1*d*a*b^-1*a^-1*b*a*d*b^-1*c*b^-1*c^-1*d^-1*c^-1*a*d\
*a^-1,
  a*d^-1*b^-1*a*d*(c^-1*b^-1)^2*d*c*a*d^-1*c^-1*b^-1*c*a^-1*d*b^-1*a*b^-1*d*b\
^-1*a*d^-1*a^-1*b^-1*a*d^-1*c^-1*b^-1*a*d^-1*a*c*b^-1*d^-1*a^-1*d*a^-1*c^-1*b\
^-1*d^-1*c^-1*(b^-1*a^-1*d^-1)^2*a*c*b^-1*a*b*d*a*b^-1*d*a*c^-1*d^-1*c^-1*a^-\
1*d*a*b^-1*c^-1,
  c^-1*d^-1*a^-1*b^-1*a*d^-1*a*b*d*a*c*d^-1*b^-1*c^-1*b*a^-1*d*a*b^-1*d^-1*c*\
d^-1*c^-1*(b^-1*d)^2*a*b*a^-1*c*a*d*a^-1*b^-1*c^-1*b^-1*a*d^-1*b^-1*c*b*c^-1*\
d^-1*c*a^-1*d*a*d*c^-1*a*b^-1*c*d^-1*a^-1*b^-1*a*d^-1*a*c^-1*d^-1*c^-1*a^-1*d\
^-1*b^-1*a^-1*d^-1*a,
  b*c*d^-1*a*c^-1*b*c^-1*d^-1*a^-1*d*c*d^-1*a*b^-1*c^-1*b*d*b^-1*a^-1*c^-1*a*\
d*a*b^-1*d*c*a*b^-1*a^-1*c^-1*d^-1*c^-1*a*d*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*a^-\
1*c*a*b*a^-1*d*b^-1*d*c^-1*b*a^-1*d*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a^\
-1*b^-1*(d*a)^2*d*c^-1,
  d*a*c^-1*a*(b*d^-1)^2*c^-1*b*a^-1*d^-1*c*b*c^-1*d^-1*b^-1*d*a*b*c^-1*d^-1*b\
^-1*d^-1*c^-1*d^-1*b^-1*c^-1*d^-1*c^-1*a*d^-1*c*a*c^-1*d^-1*c*d^-1*a*b^-1*a^-\
1*c^-1*a*d^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*b^-1*a*c^\
-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*c*a^-1,
  b^-1*c^-1*a*b*d*a*d^-1*a^-1*b*c^-1*b^-1*d*b^-1*a*b^-1*d*c^-1*a^-1*d^-1*b^-1\
*a^-1*d^-1*a*b^-1*c^-1*b^-1*d*a^-1*b^-1*c^-1*b^-1*a*d^-1*(b*c^-1)^2*d^-1*c^-1\
*a*d^-1*a^-1*c^-1*d^-1*a^-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*b*a^-1*b^-1*d^-1*a\
^-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*b*a*c,
  d*c^-1*b^-1*c*b*a^-1*d*b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d^-1*c^-1*b^-1*c^-1*d\
*a*d^-1*a^-1*d^-1*c*a^-1*d*c^-1*a^-1*d*a*c*a^-1*b^-1*c^-1*d*a*b^-1*d*b^-1*c^-\
1*b*a^-1*(d*a*b^-1)^2*d^-1*c^-1*a^-1*d^-1*(b*c^-1)^2*d*a*d^-1*b^-1*d^-1*c^-1*\
b*a^-1*d^-1*b^-1*a^-1*b^-1,
  a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*b*c^-1*b*d^-1*a*b*c*d*b^-1*d^-1*a^-1*b\
^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*a^-1*b^-1*a^-1*c^-1*d*a\
*b^-1*d^-1*a*c*d^-1*a*b*a^-1*d*a^-1*b^-1*c^-1*d^-1*(b^-1*c^-1)^2*d^-1*a*b^-1*\
c^-1*d*b^-1*d^-1*a^-1*b^-1*a^-1*c^-1*a*d*b^-1*c^-1*b^-1,
  b^-1*a^-1*(d*a)^2*d^-1*c*b*c^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c\
*a^-1*b*a*(d^-1*b^-1)^2*a*c^-1*d^-1*b^-1*a*b*d*b^-1*a*d^-1*a^-1*d^-1*c^-1*b^-\
1*a*d^-1*c*a*b*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*a*d^-1*c*b^\
-1*d^-1*a*d*b^-1*a*c*a,
  a^-1*d*a*c*d*b^-1*a*d^-1*a^-1*c*b*c*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*\
b^-1*d*c*b^-1*a^-1*c^-1*(a*d^-1)^2*a*c^-1*a^-1*b^-1*d^-1*c^-1*b^-1*d^-1*b^-1*\
a*(b^-1*d^-1*c^-1)^2*d^-1*a^-1*c^-1*b^-1*(d^-1*a)^2*c^-1*b^-1*c^-1*a*b^-1*d^-\
1*a^-1*d*b^-1*c^-1*a*d^-1*a*d,
  d*a^-1*b^-1*a*d^-1*b*c^-1*a^-1*d*a^-1*d^-1*b^-1*d*c^-1*a^-1*d^-1*a*d^-1*b^-\
1*c^-1*d^-1*a^-1*c*a*d^-1*a^-1*b*c^-1*b^-1*a^-1*c^-1*d*c^-1*d^-1*b^-1*a*d^-1*\
b*a*c*d^-1*c^-1*b^-1*c^-1*d*(c^-1*b^-1)^2*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1\
*a*d^-1*b^-1*a*d*a*b*c^-1*d*c^-1*a,
  c*a*b*c*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*b^-1*a^-1*c^-1*d^-1*b^-\
1*c^-1*d*a*d^-1*a^-1*c*a^-1*(d^-1*b^-1)^2*c^-1*d^-1*c^-1*a^-1*d^-1*a*b*d^-1*a\
^-1*b*a*d*b^-1*d^-1*a^-1*b^-1*a*c*d^-1*a*b^-1*c^-1*d*a*b^-1*c^-1*a^-1*d^-1*b^\
-1*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d,
  d*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*d^-1*a*d^-1*c^-1*d*c*a^-1*c*b*a*(d*a*b^-1)^2\
*c^-1*d^-1*b^-1*a^-1*b^-1*d^-1*c*a*b*a^-1*c^-1*d^-1*a^-1*d*a^-1*c^-1*d^-1*b^-\
1*c^-1*b^-1*d^-1*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b*a*c^-1*b^\
-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b^-1,
  a*b*d^-1*c^-1*a^-1*c^-1*d*c*d^-1*c*a^-1*d*a*c^-1*a^-1*b^-1*c^-1*d^-1*c*a^-1\
*b*d*b*a*b*d^-1*b^-1*d^-1*c*b*a^-1*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*a*c^-1*d^-1*\
b^-1*a^-1*b^-1*d^-1*b^-1*a*c^-1*d^-1*c*b^-1*c^-1*d^-1*(c^-1*b^-1)^2*a*d^-1*a^\
-1*c^-1*d^-1*b*c^-1*d^-1*c^-1*a*d^-1*c^-1*b^-1,
  a^-1*b^-1*a*d^-1*a*d*b*d*b^-1*d*a^-1*c^-1*b*c^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*\
d^-1*b^-1*c*b^-1*d*b^-1*c*b*c^-1*a*c^-1*d^-1*b^-1*d^-1*c^-1*a*(b*c^-1)^2*d^-1\
*b^-1*d*a*b^-1*d*b^-1*a*d*b*a*c^-1*d*c^-1*b^-1*c*d^-1*b*c^-1*b^-1*c*a*d^-1*c^\
-1*b^-1*a^-1*c*d,
  (d*c^-1)^2*a^-1*d^-1*b*a^-1*d*a*b*a^-1*d^-1*c^-1*a^-1*d*b*a^-1*d^-1*a*b*a^-\
1*d*a*b^-1*a^-1*d*a^-1*c^-1*a*b^-1*a^-1*d*c^-1*d*a*d^-1*b*(d^-1*a)^2*c*d*a*c*\
a^-1*d^-1*c^-1*b*a*c*d^-1*a*d*c^-1*d*a*c^-1*a*b*a*d^-1*c^-1*b^-1*c^-1*b*d^-1*\
b,
  c^-1*a*b*c*d*b*a^-1*b^-1*d*b*d^-1*c^-1*a^-1*b*d^-1*a^-1*c^-1*b*c^-1*a^-1*b*\
a*d^-1*(b^-1*c^-1)^2*d^-1*b^-1*a*c^-1*b^-1*c^-1*a^-1*d^-1*a^-1*d*b^-1*a^-1*d^\
-1*a*b^-1*(d^-1*a*c)^2*d^-1*a*d^-1*b^-1*d^-1*c^-1*d^-1*a*d*b^-1*a^-1*b^-1*d^-\
1*b^-1*a*c^-1*d^-1*c^-1*b^-1*c*d^-1,
  d^-1*a*b*c*d*b*d*b^-1*c*b^-1*a*c^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*\
d*c*a^-1*d*b^-1*a^-1*d*a*b^-1*a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d*c^-1*a*c^-1*b\
*a*d*c*a*b*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*a^-1*b^-1*a*d*c^-\
1*d^-1*a^-1*c^-1*a^-1*d^-1*a^-1,
  d*b^-1*d*c*b^-1*a^-1*d*b*a^-1*c*a^-1*d^-1*a^-1*b^-1*a*d^-1*b*a^-1*d^-1*b^-1\
*c*b^-1*d^-1*c^-1*a*d^-1*b^-1*a*b*c^-1*b^-1*c*d^-1*a*c*b^-1*a^-1*d*a*b*d*a*c^\
-1*d^-1*b^-1*c*d^-1*a^-1*d^-1*b^-1*a*c^-1*d^-1*b*d^-1*a*b^-1*a*(d^-1*c^-1*a^-\
1)^3*d^-1*b^-1,
  c^-1*a*d^-1*b^-1*c^-1*b^-1*d^-1*a^-1*d^-1*a*b^-1*(c*d^-1*a)^2*d^-1*b^-1*c^-\
1*d^-1*b^-1*d^-1*a*c^-1*a*d^-1*b^-1*c^-1*a^-1*c^-1*b*a^-1*d*b^-1*d^-1*c^-1*b*\
a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1*a^-1*b*a^-1*c*d^-1*a^-1*b^-1*c^-1*d^-1*a*b\
^-1*c^-1*d^-1*(b^-1*d)^2*a*d^-1*b^-1*c^-1*a*c*d^-1,
  a^-1*d*a*b^-1*c^-1*d*b*d^-1*b^-1*a^-1*c*b^-1*c^-1*b*a^-1*d^-1*b*a*d*a*b^-1*\
c^-1*(d*c*b^-1)^2*a*b^-1*c*b^-1*d^-1*a*c*b^-1*c*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*\
d*b^-1*c*b^-1*d^-1*a^-1*b^-1*c*b^-1*c^-1*a*d*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*\
b^-1*d^-1*c^-1*a*c^-1*b^-1,
  d^-1*c^-1*b*c*a^-1*c*d^-1*a*b*d*c^-1*a^-1*d^-1*a*b*a*d^-1*b^-1*c*d^-1*a*c*d\
*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*c^-1*b^-1*a*c^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*\
c^-1*a^-1*b^-1*d^-1*b^-1*c^-1*d*b^-1*d^-1*(b^-1*c^-1)^2*a^-1*d^-1*b*a*c*a^-1*\
b*c^-1*d^-1*c^-1*b*d^-1*a*b^-1*c^-1*a,
  a^-1*b^-1*a^-1*d*b^-1*d^-1*c*b*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*b^-1*a*d^-1*b^\
-1*d^-1*c*b^-1*a^-1*d^-1*a*c^-1*a*d*a*b*c*d^-1*c^-1*b^-1*d*a^-1*c^-1*a*d*a^-1\
*c^-1*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*d*a^-1*b*c^-\
1*b^-1*a*d^-1*(c^-1*b^-1)^2*d^-1*c^-1*a*d^-1*c,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*d^-1*c*b*c*a*d^-1*b*a*c*d^-1*b^\
-1*d^-1*b*a*b*c*d*a*b^-1*c*d*b^-1*d^-1*b^-1*a^-1*b^-1*c*a*d^-1*b^-1*d*b^-1*c*\
b^-1*d^-1*a*d^-1*a^-1*b^-1*a^-1*c^-1*b^-1*c^-1*a^-1*b^-1*a^-1*c*d^-1*c^-1*b^-\
1*a^-1*d^-1*a^-1*b^-1*d*a*b*a*d^-1,
  a^-1*d*c^-1*a^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*b*a*c*d*b*d*c^-1*a^\
-1*b^-1*d^-1*b*c^-1*a*b*a^-1*d*a*c^-1*d^-1*a^-1*b^-1*c^-1*d*a^-1*d*c^-1*a^-1*\
d^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a\
^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*c,
  d^-1*c*b^-1*a^-1*d*c*b^-1*a*d*a^-1*c*a*d^-1*b^-1*d*b^-1*c^-1*b^-1*a*d*b^-1*\
c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d*b^-1*d^-1*c*b*a^-1*d*b^-1*c^-1*a*b^-1*a*\
c*d*a*d*a^-1*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1*d^-1*\
b^-1*c*d*b^-1*a^-1*d^-1*b^-1*a*c^-1*a,
  c*b^-1*d^-1*a*d*b^-1*a*c^-1*b^-1*d*a^-1*b^-1*a^-1*c^-1*b^-1*d*b^-1*d^-1*c^-\
1*b^-1*a^-1*d*c*b^-1*c^-1*a^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1\
*c*a^-1*c*d^-1*a*b^-1*c^-1*a^-1*d*b^-1*a^-1*c^-1*a*b^-1*d*a^-1*d*c^-1*d*b^-1*\
a*d^-1*b^-1*d*c*a^-1*(d*b^-1)^2*a*c^-1*d,
  b*a^-1*c^-1*d*a^-1*b^-1*d^-1*c^-1*b^-1*c*b^-1*d*a*b*c^-1*d^-1*b*d^-1*a*b^-1\
*a^-1*d*a^-1*d^-1*b^-1*a*d^-1*c^-1*b*c*b^-1*d^-1*c^-1*a*d^-1*c^-1*d*a^-1*d*a*\
b*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b*d^-1*c^-1*a*b^-1*a^-1*c^-1\
*d*a^-1*c*d^-1*c^-1*b^-1*d^-1*b*d^-1*a*d^-1,
  c^-1*b*c*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*c*b^-1*a*b*d*a*b^-1*d^-1*b^-1*c^-1*\
b^-1*a^-1*d*c*d^-1*b^-1*a*b^-1*c^-1*a^-1*d*c*a^-1*d^-1*a^-1*b^-1*c^-1*b^-1*a*\
b^-1*d*a*c^-1*d^-1*a*b^-1*a^-1*d*a*b^-1*d*a*c^-1*d^-1*b^-1*c^-1*b*c^-1*d^-1*a\
*b^-1*c^-1*d^-1*b^-1*d*a^-1*b^-1*a,
  c*d^-1*a*b^-1*d^-1*c*b*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*c*d*c^-1*a^-1*d^-1*c\
^-1*b^-1*d^-1*b^-1*c*b^-1*d*a^-1*c^-1*b*c^-1*a^-1*d^-1*a^-1*b*d^-1*b*c^-1*b^-\
1*c^-1*a^-1*c*d*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*a*d*c^-1*b^-1*a^-\
1*c*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*c^-1*a*b,
  d*a*d*c^-1*a^-1*b^-1*c*d*c^-1*d^-1*a^-1*c^-1*d*(b^-1*c^-1)^2*d^-1*a^-1*c^-1\
*d*a^-1*d*b*a*b*d^-1*b*d*c^-1*b*c^-1*a*d^-1*a^-1*c^-1*a^-1*b*(a*d)^2*b^-1*c^-\
1*d^-1*a^-1*c^-1*d*c^-1*a^-1*c^-1*b^-1*d*a^-1*b*c^-1*d*a^-1*d^-1*a*c^-1*d*a*b\
^-1*d*a^-1*b^-1*c^-1*a^-1,
  d*a^-1*b*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b*c*b^-1*c*d*c^-1*d^-1*a^-1*c*a^\
-1*d*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d*a^-1*b^-1*c^-1*d^-1*a*d^-1*b^-1*d*\
a*d^-1*a^-1*b*a^-1*d^-1*c^-1*b^-1*c*a*d^-1*b^-1*a*c^-1*(d^-1*b^-1)^2*c^-1*a*c\
*b^-1*d^-1*b^-1*c^-1*b^-1*a*c^-1*d^-1*c^-1,
  (b*d^-1)^2*b^-1*c^-1*d*a^-1*c*a^-1*d^-1*b*a^-1*d^-1*b^-1*c*b*c*d^-1*c^-1*a*\
d^-1*c^-1*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*c^-1*a^-1*b*a\
*d*b^-1*d^-1*c^-1*b*a^-1*d*a^-1*b^-1*c^-1*a*b^-1*a^-1*c*d^-1*c^-1*a^-1*b^-1*a\
^-1*c^-1*b^-1*d^-1*b^-1*a*c^-1*a^-1*b^-1*d^-1*b^-1*a^-1*c^-1,
  a*c*b^-1*c*a^-1*d*a*c*d*c*b^-1*a^-1*c^-1*a*b*d*a*b*c^-1*d^-1*b^-1*d*a^-1*b*\
c*a^-1*d*b^-1*d*c^-1*a^-1*b*a*c^-1*b^-1*d^-1*a*c*b^-1*a*d*a^-1*c^-1*d^-1*a*c^\
-1*a*d*c*b^-1*a^-1*d*a^-1*c^-1*d*a^-1*b*a*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-\
1*b^-1*d*a*d,
  a*d^-1*a*b*c^-1*d^-1*b*d^-1*a^-1*c*b^-1*a*c^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*c*\
b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1*a^-1*b*c^-1*b^-1*a^-1*d*a*\
b^-1*d*a*c*d^-1*a*c^-1*d^-1*a*b*a*c^-1*b*d^-1*a*b^-1*d^-1*a*c^-1*d*c^-1*a^-1*\
c^-1*d^-1*a*d*a^-1*c*a*b^-1,
  d^-1*b*c^-1*a^-1*d*a*d^-1*b*d^-1*c*b*a^-1*d^-1*b*c^-1*b^-1*d^-1*a*c*d^-1*b*\
c*a*d*a^-1*b*a*d^-1*b^-1*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d^-1*b*a^-1*c*a^-1*d*c^\
-1*b^-1*a^-1*c^-1*d^-1*a*b*c*d*c^-1*a*d^-1*c*a*b*a^-1*c*d*a*c*d^-1*c*b^-1*a^-\
1*d^-1*a*b^-1*a,
  d^-1*a*b^-1*c*d*b^-1*d*a*c*b*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*a^-1*b^\
-1*d*a*c^-1*a^-1*b^-1*c*d^-1*b^-1*d*a*c^-1*b^-1*d*a*b^-1*c*(d^-1*b^-1)^2*a^-1\
*b*d*c*a*b^-1*c^-1*a^-1*d^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a^-1*d^-1*a*c^-1*\
b^-1*a^-1*d*a^-1*c^-1*d^-1*a*c^-1,
  a*c^-1*b*d*a*b*c^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d*c*b*a^-1*d^-1*b*(d^-1*b^-1\
)^2*c^-1*d*c^-1*a*c^-1*d^-1*b*c^-1*d*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*c*b*c^-1*a*\
d^-1*a^-1*d^-1*b^-1*a*b*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*b*a^-1*b*d^-1*b^-1*\
d^-1*c*b*a^-1*d^-1*b^-1*a^-1*b^-1,
  a^-1*d*a^-1*b*a*d*a^-1*c^-1*d^-1*b*a*c^-1*d^-1*a*b^-1*c^-1*d*c*b^-1*a^-1*d^\
-1*b^-1*d^-1*c^-1*(b*a^-1*d^-1)^2*a^-1*c^-1*a*b*d^-1*c^-1*b^-1*(c^-1*a^-1*d^-\
1)^2*c*b*c^-1*d*a^-1*c^-1*d^-1*c*b^-1*c*b*d^-1*a^-1*b^-1*c^-1*d*a^-1*c^-1*d^-\
1*c^-1*b*c^-1*b^-1*d^-1*a^-1*c^-1*b,
  b*d^-1*a^-1*b*(a*d^-1)^2*a*d*b*a*b*d^-1*b*d*c^-1*b*a^-1*d*a^-1*b^-1*a^-1*d^\
-1*a*b*d*a^-1*b*c^-1*a^-1*c^-1*d*a^-1*d^-1*b^-1*c*a*b*d^-1*c^-1*a^-1*d^-1*a^-\
1*c*b*a*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*c^-1*a^-1*b^-1*c*d^-1*b^-1*c^-1*b\
^-1*d^-1*a^-1*b^-1*a*d*a^-1,
  d*a*c^-1*b*d*a^-1*c*a*b*a^-1*d^-1*b^-1*d^-1*b*c*d^-1*c*a*c^-1*(d*b^-1)^2*a^\
-1*(b^-1*d)^2*c^-1*b^-1*a^-1*d^-1*b*c*b*c^-1*d^-1*a^-1*b*c^-1*a^-1*d*a*b*c^-1\
*d*b^-1*d*a*b^-1*d^-1*a^-1*b*a*d*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*\
d*b^-1*a*c^-1*b^-1,
  d^-1*c*b^-1*a^-1*d*b^-1*c*b^-1*d^-1*a^-1*b*a*d^-1*b^-1*a^-1*d*b^-1*d^-1*c*b\
^-1*a^-1*d^-1*b^-1*a^-1*d*c*a^-1*d*b^-1*a^-1*d^-1*a*b*d^-1*c*b^-1*d^-1*c*a^-1\
*c*d*c*(b^-1*d^-1)^2*a^-1*b^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*a^-1*b^-1*d^-1*c*a^-\
1*b^-1*d*b^-1*c*b^-1*a^-1*b^-1*d^-1*a*c^-1,
  c^-1*a^-1*d*a*b*c^-1*(d^-1*b)^2*a*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*c*b*c^-1*d^-\
1*b*d^-1*c*b*a^-1*d^-1*b^-1*d^-1*b*a*c^-1*d^-1*a^-1*b^-1*a^-1*c^-1*b^-1*d^-1*\
a*d^-1*c*a^-1*b^-1*a^-1*c^-1*a*d*(b^-1*c)^2*a*d^-1*c*a^-1*b^-1*d^-1*b*a*d^-1*\
a*b^-1*c^-1*d^-1*c*a*c^-1*d,
  d*b^-1*d*c*b^-1*a^-1*d^-1*a*b*d*b^-1*d^-1*c*b*d^-1*c*a*b*a^-1*d*a^-1*d^-1*a\
^-1*b*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*d*a*b^-1*c*d*b^-1*d^-1*a*c^-1\
*b^-1*c*d^-1*a*b^-1*c*d*b^-1*d*a^-1*b^-1*c^-1*a^-1*c^-1*d*a^-1*b^-1*a^-1*d*b^\
-1*d^-1*c*b^-1*a^-1*d*a*b*c,
  (a*d^-1)^2*b*a^-1*d^-1*b*c^-1*a*c^-1*d^-1*a^-1*d*a*c^-1*d^-1*b*d^-1*c*b*a^-\
1*d^-1*c^-1*b*d^-1*a^-1*c^-1*d^-1*(b*c^-1)^2*d^-1*a^-1*b^-1*c^-1*b*d^-1*b^-1*\
c^-1*a*d^-1*b^-1*c^-1*b*d*a*b^-1*c^-1*d^-1*(b^-1*d^-1*a)^2*d*a*d^-1*c*a^-1*b*\
d^-1*b^-1*d*a^-1*d^-1*c^-1*d^-1,
  d^-1*c*a*(b*c)^2*d*a*b*c*d^-1*b^-1*d^-1*a*b*a^-1*d^-1*c^-1*a^-1*d*b*a^-1*d^\
-1*a*c^-1*b^-1*c*b*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*b^-1*a^-1*b^-1*d^-1*b^-1*c\
^-1*b^-1*a^-1*d*a*b^-1*d*a*c^-1*d^-1*c^-1*a^-1*b^-1*a*c^-1*b^-1*d^-1*a*d*b^-1\
*a*c*b^-1*a^-1*c^-1*a^-1*d*a^-1*c,
  d*a*b^-1*a^-1*d^-1*b*d^-1*b^-1*c^-1*d*a^-1*c*a^-1*d^-1*c*a*d*a^-1*c^-1*d^-1\
*a*d^-1*b^-1*c*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d*a*c*b^-1*d^-1*a*d*a^-1*c^-1*b*a\
^-1*d*a*b*d^-1*a*c*d^-1*c*b^-1*c^-1*a^-1*b*a^-1*d^-1*a*c^-1*d^-1*c*a^-1*d*b^-\
1*a^-1*d*a*(b*c)^2*a^-1,
  a^-1*d^-1*c*b^-1*c^-1*d*a^-1*d^-1*a*b^-1*a^-1*c^-1*d^-1*c*a^-1*b*d*b*a*d*b^\
-1*a*c^-1*d^-1*c^-1*b*a*d^-1*(b^-1*c^-1)^2*d^-1*c^-1*a*d^-1*c^-1*d^-1*a^-1*c^\
-1*a*b^-1*c*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b^-\
1*d^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*c*a^-1*d,
  d*a*b*a^-1*c*a^-1*b*d*b^-1*c*b^-1*c^-1*a^-1*d*a*b*d*a*c^-1*d^-1*a*d*a^-1*c^\
-1*d*c*b*c^-1*b*d^-1*a^-1*c*d^-1*a^-1*d^-1*c*(a*d^-1)^2*c^-1*a*b^-1*d^-1*b^-1\
*a^-1*d^-1*b^-1*d^-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*a*b^-1*d^-1*c*b^-1*a^-1*d^-\
1*a^-1*c^-1*a*d^-1*a*c*b^-1*c^-1,
  d*b^-1*c^-1*b*a^-1*d*a*b^-1*d*a*c*d*a*b^-1*d^-1*a^-1*c*b^-1*c*a^-1*d*b*d*c*\
b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a*c^-1*d*a*b^-1*d^-1*a^-1*b^-1*c^-1*b^-1*a*d^\
-1*(b^-1*c^-1)^2*d*c^-1*a*d*c^-1*b^-1*d*a^-1*b*c^-1*d*a^-1*d*c^-1*a^-1*d^-1*b\
*a^-1*d^-1*a^-1*b*a*d^-1*a^-1,
  d^-1*c^-1*d^-1*c*a^-1*c*d*c^-1*(b^-1*d^-1)^2*a^-1*b*a*d^-1*b*d^-1*c*b*a^-1*\
d*a*b*c*a^-1*(b^-1*d^-1*a)^2*c^-1*d^-1*b^-1*c^-1*b^-1*a*d*c^-1*b*d^-1*a^-1*b*\
c^-1*d^-1*a^-1*c*d^-1*(c^-1*b^-1)^2*d^-1*a^-1*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1\
*b^-1*a^-1*d^-1*b*a*c^-1*a^-1*b*c^-1,
  a*b^-1*c^-1*d*b*d*a^-1*c*a^-1*b*d*b*a*c^-1*d*a*(b^-1*d^-1)^2*a*d^-1*b^-1*a*\
b^-1*c*b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*(d^-1*a)^2*(c*a^-1*d^-1)^2*c*a*b^-\
1*c^-1*b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*c^-1*a^-1*d^-1*a^-1*c^-1*a*b^\
-1*d*b^-1*c^-1*a*d^-1,
  c*d*a*d^-1*a*b*(a^-1*d^-1)^2*a*d*b^-1*c^-1*b^-1*a^-1*d^-1*c*a*d^-1*b^-1*c^-\
1*b^-1*c*d*c*a*d*a*(b*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*a*b^-1*c*a^-1*d*a*b^-1\
*c^-1*d^-1*b*d*a*c*b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*c^-1*a^-1*d^-1*a*b^\
-1*d*a*c^-1*d^-1*c^-1*a^-1,
  b*d*a*b^-1*c*b^-1*d*a*c*d^-1*b*a*c*d^-1*a*b^-1*a*c*a^-1*d*b^-1*d^-1*b^-1*c^\
-1*d^-1*a^-1*c^-1*a^-1*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c^-1*b*d^-1*a*d^-1*a^-1*d\
^-1*c*b*d^-1*a^-1*d*b^-1*c*b^-1*a^-1*d*a*b*d^-1*a*c^-1*d^-1*c^-1*a^-1*b*d^-1*\
a*b^-1*c*d^-1*b^-1*d^-1*a*b*d^-1,
  d^-1*b^-1*c^-1*b^-1*c*a^-1*d*c^-1*a*d*a*b^-1*c^-1*a^-1*d*b^-1*a*d*b*a^-1*d*\
a^-1*d^-1*a^-1*b*d^-1*b^-1*a*b^-1*c^-1*a^-1*d*c^-1*b^-1*c*a^-1*b*a*c*b^-1*d*a\
*d^-1*c^-1*a^-1*c*d^-1*a*c^-1*b^-1*a^-1*d*b^-1*a*b*d^-1*a^-1*b*d*a*c^-1*d^-1*\
b^-1*c^-1*a*d*c^-1*b^-1*c^-1*a^-1*b,
  d^-1*a^-1*d*b^-1*d*c*d^-1*c*b*d^-1*a*b^-1*c^-1*d*b*d^-1*c*a^-1*d^-1*a*b^-1*\
c^-1*b^-1*d^-1*b^-1*a^-1*d*a*b*a^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*c^-1*d^-1*\
c^-1*a*c^-1*d*a^-1*c^-1*d^-1*c*a*d^-1*a*c^-1*a^-1*b*a^-1*c^-1*d^-1*c^-1*(b^-1\
*d)^2*b^-1*a*b^-1*d^-1*c^-1*a^-1*d*a^-1*c^-1,
  (d^-1*a^-1)^2*d*b^-1*a*c^-1*(d*a^-1)^2*d^-1*b*c*b*d^-1*a*b*c^-1*d^-1*b^-1*d\
*a*b^-1*c^-1*a^-1*d^-1*a*c^-1*b^-1*c^-1*d*c^-1*a^-1*b^-1*d*a^-1*b*d^-1*b^-1*a\
*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*c^-1*a^-1*b*d*a^-1*b^-1*d^-1*b^-\
1*c*b^-1*a^-1*d^-1*a*b*d*a*c^-1*d^-1*a,
  a^-1*c*b^-1*d^-1*a*d*c*a^-1*b*c^-1*d^-1*b*d^-1*a*b*c^-1*(d^-1*b)^2*a^-1*c^-\
1*d^-1*c*b*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b*a^-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d\
*a*c^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*a^-1*d^-1*b*c^-1*a*b*a^-1*d*a*b^-1*c^-1*d^-\
1*b*d^-1*b^-1*a*b^-1*c^-1*a^-1*d,
  a^-1*b*a*d^-1*a*d*c^-1*b*d*a*b^-1*c^-1*d*b*d^-1*b*a*d^-1*b^-1*d*c*b*a^-1*d^\
-1*b^-1*c^-1*b^-1*d^-1*c^-1*b^-1*a^-1*c^-1*d^-1*a^-1*c*d^-1*c^-1*b^-1*d*b^-1*\
a^-1*c^-1*b^-1*a*d^-1*a*b^-1*d^-1*a*c*d^-1*b^-1*a^-1*d*a*c^-1*b^-1*c^-1*a^-1*\
d*a*b^-1*d*a*c^-1*d^-1*c^-1*a*b*a^-1*c^-1*d,
  b*d*c^-1*b*a^-1*d*c^-1*b*c*b*d^-1*b^-1*(a*d^-1)^2*a^-1*b*d^-1*b^-1*d^-1*a^-\
1*b*a*d^-1*a^-1*b*d^-1*c^-1*b^-1*c*a*b*a^-1*d^-1*a*d^-1*c^-1*d^-1*c*a^-1*d*b^\
-1*a^-1*d^-1*a*b*a^-1*c^-1*a*d*b^-1*d^-1*c*b^-1*a^-1*d*a^-1*c^-1*a*d*b^-1*a^-\
1*c*a^-1*b^-1*a^-1*d^-1*c*b^-1*c^-1*a,
  d*a*d*a^-1*b^-1*c^-1*b*a^-1*d^-1*a*b^-1*c*d*b^-1*d*a^-1*b^-1*a*c^-1*b^-1*d*\
a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*c^-1*a*c^-\
1*b*a^-1*d^-1*a*b*c^-1*d*b^-1*d*a*b^-1*a^-1*c^-1*a*d^-1*a^-1*b*d*b^-1*c^-1*d*\
b^-1*d*c^-1*b^-1*a^-1*d*b^-1*a*c^-1*a,
  a*d*a^-1*c^-1*b^-1*d^-1*b*d^-1*a*c^-1*a*d*b*c^-1*a*d^-1*c*d^-1*a*b^-1*c^-1*\
d^-1*a^-1*c*a*d^-1*a^-1*b^-1*a^-1*c^-1*b^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*c\
*b^-1*c^-1*a^-1*c*b^-1*d^-1*b*a*d*b^-1*a*c^-1*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*c\
^-1*b^-1*a*d^-1*c*a*d*a^-1*c*b^-1*d^-1*a*c*b^-1*c^-1,
  d*b^-1*d*c*b^-1*a^-1*d^-1*c*b^-1*a*c*a^-1*d*a*c*b^-1*a^-1*d^-1*a^-1*c*d*b*a\
*d*a^-1*c*b^-1*c*d*a*b*a^-1*c*a^-1*b^-1*c^-1*a*d^-1*b*c*b*c^-1*d^-1*c*a*d^-1*\
c^-1*b^-1*d*a*c*a^-1*b*d^-1*b*(a*d^-1)^2*c^-1*b^-1*c^-1*d*a*d^-1*a^-1*b^-1*a*\
c*a^-1*d^-1*c^-1,
  b^-1*c*b^-1*d^-1*a*b*c*d^-1*b^-1*d*c*a*b^-1*a*c^-1*a*d^-1*a*b^-1*c*(d^-1*b^\
-1)^2*a*b^-1*d^-1*b*a*c^-1*b*c*b*d*a^-1*b^-1*a*d^-1*b*a^-1*d*b^-1*d^-1*c^-1*b\
*a*c^-1*a^-1*d*a^-1*b^-1*c^-1*d*c^-1*b*a^-1*d*b^-1*d^-1*a^-1*b^-1*c^-1*b^-1*d\
^-1*a^-1*d^-1*b^-1*c^-1*b*a^-1*d^-1*a,
  d*a*d^-1*a^-1*c^-1*b*d*a*d^-1*b*a*c*b*c^-1*a*c^-1*b*d^-1*a*d*a^-1*b*d*c*a*d\
^-1*a*b^-1*c^-1*d*c^-1*a*b^-1*d^-1*b^-1*c*d*b^-1*d^-1*c*a^-1*c^-1*d*c*b^-1*d*\
b^-1*d^-1*a*b^-1*c^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b*a*d^-1*b^-1\
*d^-1*c^-1*b^-1*a^-1*d*b^-1*a^-1*c^-1,
  c*b*c^-1*a^-1*b^-1*d*a^-1*d*b^-1*c*a^-1*d^-1*a*d*c*d*a*c^-1*a*b^-1*d*a^-1*c\
^-1*d*c*b*c*b^-1*(d^-1*a^-1)^2*b*c*b^-1*c^-1*a*d*c^-1*b^-1*a^-1*d^-1*b^-1*d^-\
1*c^-1*(b^-1*a^-1*d)^2*a^-1*c^-1*a*b^-1*d^-1*a^-1*b^-1*a*c^-1*b^-1*c^-1*a^-1*\
b^-1*d^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1*a,
  d^-1*b*d^-1*c^-1*b*a^-1*d*c*d*b*a^-1*b^-1*d^-1*a*d^-1*c*(d^-1*c^-1*a^-1)^2*\
(b^-1*d^-1)^2*a*b^-1*a^-1*c^-1*d^-1*a^-1*b*a*d^-1*c^-1*a^-1*c*b^-1*a*d^-1*b^-\
1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*d*a*b^-1*d\
^-1*b*d^-1*c^-1*a^-1*b*d^-1*a^-1*c*b^-1*c^-1*d^-1*a*b^-1,
  d*c^-1*b*c^-1*a^-1*c^-1*b*a*c*d^-1*a*d^-1*c^-1*b*a*d*b*d^-1*a^-1*d^-1*b*c^-\
1*d*a^-1*b*c^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*d^-1*a^-1*b^-1*a*d^-1*b^\
-1*c^-1*d^-1*b^-1*d*a^-1*d^-1*a*c^-1*b^-1*a^-1*d^-1*a^-1*c*(d^-1*a*c^-1)^2*d^\
-1*a^-1*c^-1*b*a^-1*d*a^-1*c^-1*a*b^-1*d*c^-1*a,
  c*a^-1*b^-1*a*d*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*c*a^-1*d^-1*c^-1*a*d*a*b*c^-1*\
a^-1*d^-1*c^-1*b^-1*c*b^-1*d*a^-1*(c^-1*b^-1)^2*a*d*a^-1*c*b^-1*a^-1*d*a*b^-1\
*d*a*c*d*a^-1*d^-1*c^-1*b*c^-1*b^-1*(d^-1*c*a)^2*b^-1*a^-1*d^-1*c^-1*a*d*a*d^\
-1*c*b^-1*a^-1*d*a*b^-1,
  d*b^-1*d*c*b^-1*a^-1*d*b*c*b*d^-1*a*c^-1*a^-1*b*d^-1*a*b*a^-1*d*b^-1*d^-1*c\
^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d^-1*a*c*a^-1*b^-1*d^-1*b^-1*c^-1*a^-1*b^-1*(d^-\
1*b^-1*a)^2*c^-1*d^-1*c^-1*b^-1*c*a^-1*b^-1*a*d^-1*b^-1*d*c^-1*a^-1*c*b^-1*c^\
-1*d^-1*c^-1*b^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*b^-1*a,
  a^-1*d^-1*b*d^-1*b^-1*c^-1*d*a^-1*c*a^-1*d*c*d^-1*c^-1*a*d^-1*c^-1*b*(d*a^-\
1)^2*b*d^-1*b^-1*a^-1*b^-1*c^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^2*a^-1*b^-1*d^-1*a^\
-1*c^-1*b*a^-1*b^-1*c*d^-1*b^-1*d^-1*a^-1*b*a^-1*c^-1*d*a*d^-1*a*d*a^-1*d*a*b\
^-1*c*d^-1*b^-1*d^-1*a^-1*b^-1*a*c^-1*b^-1*c^-1*d,
  d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d*c^-1*b^-1*d*a*b*d^-1*a^-1*c^-\
1*b^-1*d*a*d*b^-1*a*b^-1*c*a^-1*d*a*(b^-1*d)^2*a^-1*d*c^-1*(b^-1*d)^2*c^-1*b^\
-1*d^-1*b^-1*c*a*b^-1*a^-1*c*a*d^-1*c^-1*b^-1*d*a*d*a^-1*c^-1*b^-1*a*d^-1*a*b\
^-1*c^-1*d^-1*b^-1*d*c^-1*b^-1*c*a*b^-1,
  b*a*d^-1*a^-1*c*b*d*a*d^-1*a^-1*c^-1*d*a*b^-1*c*d^-1*b^-1*d*b^-1*a^-1*d^-1*\
b^-1*d*c^-1*b*a^-1*d^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*a*c^-1*d^-1\
*c*a*c^-1*d*a^-1*c^-1*d^-1*c*a*d^-1*c^-1*a*b^-1*c^-1*a^-1*d*a^-1*b^-1*c^-1*b^\
-1*a*d^-1*b^-1*c^-1*b*d*a*b^-1*c^-1*d*b^-1*d^-1*c*a^-1,
  b*d*a*b^-1*c*d*b^-1*d*b*c*a^-1*c*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*a*b*a*c*a^-1*\
d*a*b*c^-1*d^-1*b^-1*d*b^-1*a*d^-1*c*a^-1*d*b*a^-1*d*a*b^-1*c^-1*b^-1*a^-1*d*\
b^-1*d*c*b*a^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*(d*b^-1)^2*a^-1*(b^-1*d)^2*b*a^-1*\
(b^-1*c^-1)^2*a,
  d^-1*b^-1*a*c^-1*a^-1*(d*a*b)^2*c^-1*d^-1*b^-1*d*a^-1*c^-1*b^-1*a^-1*b^-1*c\
^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*b^-1*c*b*c*a^-1*b^-1*d^-1*b*c^-1*b*c*d^-1*a*b^-\
1*c^-1*d*b^-1*d*a*b*a^-1*c^-1*d^-1*c*b^-1*c^-1*a*c^-1*d*a*b^-1*c^-1*d^-1*b^-1\
*d*a*b*a^-1*c^-1*d^-1*c*b^-1*a*c^-1*a,
  d*b^-1*a*b^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*(d^-1*b^-1)^2*c^-1*d\
^-1*c*a*c^-1*d^-1*b*c^-1*a*d*a^-1*c*a*b*c^-1*d*a^-1*d^-1*a*(b^-1*d^-1)^2*c*a^\
-1*b^-1*d^-1*a^-1*c^-1*b^-1*c^-1*a^-1*b^-1*a*d^-1*c^-1*b*c^-1*b^-1*a*d^-1*b^-\
1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*(d^-1*a)^2*b^-1,
  c^-1*b*a*d*b*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*c^-1*d^-1*a^-1*b^-1*c^-1\
*b*a*d*a^-1*c^-1*a*b^-1*a*c*d*c^-1*a*d^-1*c^-1*b^-1*c^-1*a^-1*b^-1*a*c^-1*d^-\
1*a*c^-1*d*a*c^-1*a*d^-1*b^-1*c*d*a^-1*b^-1*c^-1*b*a^-1*d^-1*a*d*a*d^-1*a*c^-\
1*d*a*b^-1*c^-1*d*b^-1*d^-1*a*b*a^-1,
  b*(d^-1*a^-1)^2*d*b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d^-1*a*b*a^-1*d^-1*b^-1*c^-\
1*a^-1*d^-1*b^-1*a^-1*c^-1*b^-1*a*d*a^-1*b^-1*c*b*d^-1*a*b^-1*c*d^-1*b^-1*d^-\
1*c^-1*b^-1*d^-1*b*(d^-1*c*b^-1*a^-1)^2*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-\
1*c^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b*d^-1,
  d*b*a^-1*d^-1*b*d^-1*b^-1*c*d*a^-1*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1*a*c^-1*b*a\
^-1*d^-1*(a*d)^2*a^-1*d^-1*c^-1*d^-1*b^-1*a*c^-1*a^-1*(d^-1*b*a)^2*c*d^-1*c*b\
*c^-1*d^-1*b*a*b^-1*d^-1*a^-1*c*d^-1*a*b*c^-1*d^-1*a*b^-1*a^-1*b^-1*c^-1*b*c*\
d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b*a^-1,
  d^-1*a^-1*d*a*c^-1*b*d*a*d*b*a^-1*d^-1*a^-1*b^-1*a*d^-1*b^-1*c^-1*b^-1*a^-1\
*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a*b^-1*d^-1*c*b^-1*a*d^-1*a*c*b^-1*a\
^-1*d*a^-1*c^-1*b^-1*c^-1*a^-1*d*a*b^-1*d*a*c^-1*d*a*b^-1*a^-1*d*a*b^-1*d^-1*\
a^-1*c*d^-1*c*b*a*c*a^-1*d*a*c^-1*d^-1*c*a^-1,
  a^-1*d*a*b*d*a*c*d^-1*a*d*c^-1*b^-1*a*d^-1*c^-1*b^-1*a^-1*d*b*d^-1*c^-1*b^-\
1*a^-1*d*a*b^-1*a*d^-1*a^-1*d*a^-1*b*c^-1*b^-1*a^-1*d^-1*a*b*d^-1*a*c^-1*d^-1\
*b*a^-1*d*b*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*a^-1*d^-1*a*b^-1*c*d^-1*b*d^-1*c^-1*\
b^-1*a^-1*d*a^-1*c^-1*b*d^-1*b*a*c^-1*b^-1,
  d^-1*b^-1*c^-1*b^-1*c*d^-1*c^-1*a*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d*b^-1*c^-1\
*d^-1*c*a*c*d*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d*b^-1*c*b^-1*a^-1*d^-1*a^-1*b^-1*\
c*d^-1*(b^-1*c^-1)^2*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b*a^-1*c*a*d^-1*a^-1*b^-1\
*a^-1*d*b^-1*(d^-1*c^-1*b^-1*a^-1)^2*b^-1*a*c*a^-1,
  b*(d^-1*a^-1)^2*d*b*a*b*d^-1*b*d*c^-1*b*a^-1*d*c^-1*a^-1*d*b^-1*c^-1*a*d^-1\
*c*a*d^-1*b*c*a^-1*d*b^-1*a^-1*b*c^-1*a^-1*d*a*b^-1*c*d*b*d^-1*a*b*a*d*c^-1*a\
^-1*b^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a*b^-1*d^-1*a*c*b^-1*c^-1*\
(d*a^-1)^2*b^-1*c*b^-1*d^-1,
  c^-1*d*a*c*b*c*d^-1*a^-1*d^-1*a*d*c^-1*a^-1*d*b^-1*a^-1*d*a*c*b^-1*c*d^-1*a\
*b*c*d*b^-1*d^-1*c^-1*b^-1*c^-1*d*c*a^-1*c*d^-1*a*b*c^-1*b^-1*d*a*c^-1*d^-1*b\
^-1*c^-1*b^-1*a*d*(c^-1*b)^2*d^-1*c^-1*a*d*c^-1*b^-1*d*a*c*d^-1*b^-1*d*a^-1*d\
*c^-1*b^-1*c^-1*d^-1*a^-1*d,
  d*a^-1*c*b^-1*d^-1*a*(d^-1*b)^2*a*c*a^-1*b^-1*d^-1*b^-1*a^-1*c^-1*b^-1*c^-1\
*d*a*c*d*c*a^-1*d^-1*b^-1*a^-1*d*a^-1*c^-1*b^-1*a^-1*d*b*c*b^-1*c*d^-1*c^-1*a\
*d*b*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*b^-1*a*c*b^-1*c*d^-1\
*b^-1*d^-1*c*b^-1*a^-1*d^-1*c*b^-1*c^-1*a*b^-1*a^-1,
  d*c^-1*a^-1*d*a*c*b*c*a*d^-1*b*a*c*d^-1*b*d*a^-1*b*a^-1*d^-1*c*b*d^-1*a*b^-\
1*c*d^-1*b^-1*d^-1*a^-1*b^-1*c^-1*d*a^-1*b^-1*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^\
-1*a*(b^-1*a^-1*d^-1)^2*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*d*a*b^-1*c^-1*(d\
^-1*b)^2*a*c^-1*a*d*a^-1*c*a,
  a^-1*b^-1*d^-1*c^-1*a^-1*d*b*a^-1*d*a*b*d^-1*c*b*c^-1*b*d^-1*b^-1*c^-1*b^-1\
*a^-1*d*a*b^-1*c*b^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*b^-1*a^-1*c^-1*b^-1*c^-1*d^-1\
*a^-1*b*a*d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*(b*c^-1)^2*d^-1\
*a*b^-1*c*d*b^-1*d^-1*a*c*d*b^-1*c*d*c^-1*a*d^-1*c,
  c*a^-1*b*a*d*b*d^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1*a*b*c*d^-1*b^-1*d*b^-1*a^-1*\
c^-1*(a*d^-1)^2*b^-1*a*b^-1*c^-1*a^-1*d^-1*a^-1*b*c^-1*d^-1*a*b^-1*c*d^-1*b^-\
1*d^-1*a*b*(a*d^-1)^2*c*d^-1*c^-1*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*b^-1*c^-1\
*a*c*b^-1*a*b^-1*a^-1*d^-1*a*d*a*d^-1*a*b,
  d^-1*b*(d^-1*a^-1)^3*b*d*b*d^-1*c^-1*a^-1*b*d^-1*a^-1*c^-1*b*c^-1*d^-1*c*b*\
d^-1*a^-1*c*b^-1*c*b*a*d^-1*c^-1*b*c^-1*b^-1*a*c*d^-1*a^-1*d^-1*a*c*a^-1*b^-1\
*c*d^-1*a*b^-1*c*d^-1*c^-1*b^-1*a*d^-1*c*a^-1*c*b^-1*a*d^-1*b^-1*a*c^-1*d^-1*\
c*b^-1*c^-1*d^-1*b^-1*a*d^-1*c^-1*b^-1*a,
  d*b*d*a^-1*c*b^-1*c*a^-1*d^-1*a*c*d^-1*a^-1*b^-1*c^-1*b^-1*a^-1*d*b^-1*d*c^\
-1*b*a^-1*d^-1*b^-1*c^-1*b*d*c^-1*b*a^-1*d^-1*a*c*d^-1*b^-1*c^-1*b^-1*d*a*b^-\
1*c*d*b^-1*d*a^-1*c*d^-1*a*b*a*c*b*c^-1*d^-1*a*b^-1*c*b^-1*d*a*b^-1*c*d^-1*(b\
^-1*d)^2*a*c^-1*a*d^-1*c^-1*b^-1,
  b*d*c^-1*b*a^-1*d*b*c^-1*b^-1*d*c^-1*b^-1*c^-1*a*b*d*c^-1*b*c*b*a^-1*d^-1*a\
^-1*d*a^-1*b*d^-1*b^-1*c*a^-1*(d*c^-1)^2*(a^-1*d^-1*b)^2*d^-1*a*c^-1*d*a*c^-1\
*a^-1*d*c*a^-1*b^-1*a^-1*c^-1*a^-1*b*d*a^-1*d^-1*b^-1*d^-1*c^-1*a*b^-1*c^-1*b\
^-1*d^-1*b*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1,
  a^-1*c^-1*b*c*d^-1*a*b*c*d*b*d*a*c^-1*b^-1*a^-1*d^-1*a*b*d*a*c^-1*(d^-1*c*a\
^-1)^2*d*a*c*a^-1*b*c^-1*d^-1*c*a^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b*d^-1*a^-1*b^-\
1*d*b^-1*d^-1*b^-1*c^-1*b*c^-1*d^-1*c*a*d*c*a*b*c^-1*a^-1*(d*a)^2*b^-1*a^-1*d\
*b^-1*d^-1*c*b^-1*a^-1*d,
  d*b*d*b^-1*d*c*a^-1*b^-1*d^-1*a^-1*c*b^-1*c*b*d*a*b^-1*c*d*b^-1*(d^-1*a)^2*\
c*d^-1*a^-1*c*b^-1*d^-1*(b^-1*d)^2*c^-1*b^-1*a^-1*d*a*b*c^-1*a^-1*b^-1*a*d^-1\
*a*b*c^-1*d*b^-1*d^-1*a*(b^-1*d)^2*c^-1*b^-1*a^-1*d*b^-1*c^-1*a*d^-1*(b^-1*c)\
^2*d^-1*a^-1*b^-1*c^-1*b^-1*a,
  a^-1*b^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*c*d*(a^-1*d^-1\
)^2*b^-1*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*a*d*c^-1*a*c*b^-1*c^\
-1*b^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^2*a^-1*b^-1*d^-1*b*(a*d^-1)^2*b*a*b*a^-1*d^\
-1*b^-1*d*c^-1*b*a^-1*d^-1*c^-1*b*a^-1*b^-1*a*d,
  a*d^-1*a^-1*b^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*c^-1*b*c^-1*d*a*b^-1*c*d*b^-1*d^\
-1*a^-1*b^-1*a^-1*c^-1*a*c*b^-1*d^-1*a^-1*d*b^-1*c^-1*d^-1*b^-1*c^-1*a*d*a^-1\
*d*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a^-1*b^-1*c^-1*d*c^-1*a^-1*d^-1*b\
^-1*a^-1*d^-1*a*c^-1*d^-1*a*b*c^-1*(d*b^-1)^2*a^-1*d*a*d^-1,
  d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*(b^-1*a*d^-1)^2*b^-1*a*c^-1*d^-1*c*b*c*a^-1*\
b*a*d^-1*c*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*c*a*c*d^-1*c*a^-1*d*b^-1*a^-1*d*a*b*\
d*a^-1*b^-1*d*a*c*d^-1*a*c^-1*a^-1*d^-1*c^-1*b^-1*c^-1*d^-1*a^-1*b^-1*a*c^-1*\
b^-1*d*b^-1*c^-1*d*b^-1*d^-1*c^-1*a*b*c^-1,
  d*b*a*(b*d)^2*b*c^-1*d^-1*c^-1*a*c*(d^-1*c^-1)^2*(a*b^-1*d)^2*a*c^-1*d^-1*c\
^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*b^-1*a^-1*d^-1*a^-1*b^-1*d^-1*c^-1*b^-1*d^-1*a^\
-1*c^-1*b^-1*a*b^-1*a^-1*c^-1*a*d*a*b^-1*c^-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*\
b*a^-1*d^-1*a^-1*c^-1*b^-1*d^-1*a*d*a^-1*b,
  d^-1*c*b^-1*a^-1*c*a*d*a*c*d*c*d^-1*b*c^-1*b^-1*a*d^-1*c*d^-1*b^-1*c^-1*b*c\
^-1*d^-1*c^-1*a*d^-1*b^-1*c^-1*b*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*b^-1*a^-1*c\
^-1*d^-1*c*d*a*b*c^-1*b^-1*d^-1*b*a^-1*d^-1*a*b^-1*a^-1*d*a^-1*c*a*b*d^-1*a^-\
1*b*c^-1*a^-1*d*a*b^-1*c^-1*d*b^-1*d*a,
  d*b*a*d*a^-1*c*b*d^-1*c^-1*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c\
*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*c*d^-1*a*d^-1*a^-1*b*d^-1*c*a*c*\
d^-1*a^-1*d*a*c*b^-1*a*b^-1*c*a*d^-1*a*c^-1*d^-1*b*a^-1*c*d^-1*a*(c^-1*b^-1)^\
2*d^-1*a*b^-1*c^-1*a*c^-1*b^-1*d^-1*b^-1*c*b^-1,
  d*b^-1*c*b*c*a*d^-1*b^-1*a^-1*c^-1*b^-1*c*(b^-1*d)^2*a*c^-1*b^-1*d^-1*b^-1*\
a*d^-1*a*b^-1*c^-1*b^-1*d^-1*b^-1*a*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b*a^\
-1*c*a*b^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*b*\
d^-1*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c*a^-1*b^-1*d*a^-1*c^-1*b^-1*c,
  d^-1*b*a*d*c*a^-1*b*d*a*b^-1*c^-1*a*c^-1*b*d^-1*c^-1*b^-1*c^-1*d^-1*a*b^-1*\
c^-1*d^-1*a^-1*b^-1*d^-1*a*c^-1*d^-1*c*a^-1*c^-1*b^-1*d^-1*c^-1*b^-1*c^-1*d^-\
1*c^-1*a^-1*b^-1*d^-1*a^-1*c^-1*a*d^-1*c*a^-1*d*b*a^-1*d*c^-1*b^-1*c^-1*a^-1*\
b^-1*d^-1*c*b^-1*a^-1*d^-1*a^-1*b^-1*d^-1*b*a^-1*b^-1*d^-1*a*c^-1*d^-1*a*c,
  b*d*b*c^-1*d^-1*a*b*c*d*b*d^-1*a*b^-1*d^-1*a^-1*b*a*c^-1*b*c^-1*d*a*c*a^-1*\
d^-1*c^-1*a^-1*d*b*a*d*a*c^-1*a*b^-1*a*d^-1*b*a*(b*d^-1)^2*c*b^-1*a^-1*d^-1*c\
*a*c^-1*d^-1*a^-1*d*a*b*c^-1*b*d^-1*a^-1*d*c^-1*a^-1*c^-1*b^-1*a^-1*d*a*b^-1*\
d^-1*a*c^-1*d*c*a^-1,
  d*c^-1*b^-1*a*c*d^-1*a^-1*d*a^-1*b*d*b^-1*a*(b*d^-1)^2*b^-1*c^-1*d*a^-1*c^-\
1*b^-1*a*d^-1*b^-1*a*d*b*a*c*a^-1*d*b^-1*a^-1*d*a*c^-1*a*b^-1*d^-1*b^-1*a*b^-\
1*a^-1*c^-1*d*b^-1*a*c^-1*d^-1*b*d^-1*a^-1*b^-1*a*d^-1*b*d^-1*c^-1*(b^-1*a^-1\
*d^-1)^2*a^-1*c^-1*a*b^-1*d^-1*c^-1*a*b^-1*a,
  b*d^-1*a*b*c*a^-1*d*c*b*a^-1*d*c*d^-1*a^-1*d^-1*b^-1*(d^-1*b)^2*c^-1*d^-1*c\
*a*c*d^-1*b^-1*d^-1*a^-1*d^-1*c*d^-1*c^-1*b^-1*d^-1*b^-1*a*b^-1*c*a*d*a*c*d^-\
1*a*c^-1*a*d^-1*c^-1*(b^-1*d^-1)^2*a*b^-1*a*d^-1*c*a*b^-1*c^-1*d^-1*a^-1*b^-1\
*d^-1*b*a*d^-1*b^-1*a*c^-1*d^-1*c*b*c,
  a*d^-1*c*b*c^-1*d*b^-1*d*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*a*d^-1*b^-1*d^-1*c*b^\
-1*a^-1*d^-1*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1*d^-1*\
(b*c^-1)^2*d^-1*c^-1*a*d^-1*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b*a*d^-1*c^-1\
*b^-1*d*a^-1*c^-1*b^-1*c^-1*a^-1*b^-1*d*a*d^-1*b^-1*c^-1*(a*d)^2,
  d^-1*c*a*b*a^-1*d^-1*b*a^-1*c*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*a^-1*b\
^-1*d^-1*a*d*a*d^-1*c*b^-1*c^-1*b^-1*d^-1*a*d^-1*c*d^-1*c^-1*b^-1*c^-1*d*c*a^\
-1*b*d^-1*a^-1*b^-1*d*a*c*b*a*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*d^-1*a*d\
^-1*b^-1*d^-1*a*c^-1*a^-1*b*c^-1*b^-1*d^-1*b^-1*c*b*c^-1*a^-1,
  b*d*a*b^-1*c*d*b^-1*d*a*c*b*c^-1*a^-1*b*a*d^-1*b^-1*a^-1*d*a*b^-1*c*b^-1*d*\
c^-1*b^-1*d*a^-1*(d*b^-1)^2*c^-1*b*a*d*a*d^-1*a^-1*d^-1*a*b*(a^-1*d^-1*c^-1)^\
2*b*a^-1*d*b^-1*c*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*a^-1*b^-1*c^-1*a^-\
1*d*a*b^-1*c^-1*d^-1*b^-1*d*c,
  a^-1*b*a*d^-1*a*c*b*a^-1*d*a^-1*c^-1*d*a*c*d*c*a*d*a*d^-1*a^-1*d^-1*b*c^-1*\
d*b*a^-1*d*a*b^-1*d*a*c^-1*d^-1*a^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1*c^-1*a*d^-1*b\
*a^-1*d^-1*c^-1*a*d^-1*a*b^-1*c^-1*a^-1*d*a^-1*b^-1*c^-1*d*a^-1*d^-1*a^-1*b^-\
1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b*c^-1*a^-1*d,
  d^-1*a*b^-1*c^-1*d*b*d^-1*b^-1*a*b^-1*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*c\
*b^-1*c^-1*a*b^-1*d^-1*b*a*c^-1*d^-1*b^-1*d*b^-1*a*d*a^-1*c^-1*a*b^-1*c*b^-1*\
d*a*b^-1*c*d^-1*b^-1*d*a*b*a^-1*d*b^-1*a^-1*c*a*d^-1*c^-1*b^-1*d*b^-1*d^-1*a*\
b^-1*a*d^-1*a^-1*b^-1*c^-1*b^-1*d*a^-1*d*b^-1*c^-1*b,
  a^-1*d*a^-1*b*a*c*b*c*d*c*(a^-1*b^-1*d^-1)^2*b^-1*a^-1*b^-1*c^-1*d^-1*b^-1*\
a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a^-1*b*a*(d^-1*c^-1)^2*\
b*a^-1*d^-1*a*c^-1*b^-1*c^-1*a^-1*b^-1*d*c^-1*a^-1*c^-1*d*a*b^-1*c^-1*b^-1*d*\
b^-1*d^-1*a^-1*d^-1*c^-1*d^-1*a^-1*c^-1*b*d*a*d^-1*b^-1*a*c^-1,
  d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*c*b^-1*c^-1*a^-1*b^-1*a*d^-1*b*d^-1*c^-1*b^-\
1*c*d^-1*a^-1*c*b^-1*a*d*b^-1*d^-1*a*c*b^-1*d^-1*b^-1*c^-1*b*d^-1*c*b^-1*a^-1\
*d^-1*a*c^-1*b^-1*a*b*d*a^-1*d^-1*a^-1*d*a*b^-1*c^-1*b^-1*a*d^-1*a*b^-1*a^-1*\
c^-1*b^-1*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*b^-1*a*d*a,
  d*b*a*d^-1*(a*d)^2*a^-1*d^-1*b^-1*a^-1*c*a^-1*d*b*a*d^-1*c*a*d*a^-1*b^-1*c*\
d*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*c^-1*d^-1*a*d*a*c^-1*d^-1*a^-1*d*a^-1*c*b*a*c^\
-1*d^-1*a^-1*b*a*c*d^-1*a^-1*d^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a^-1*c^-1*a*\
b*d*a*b^-1*c^-1*d^-1*b^-1*d*a^-1*b^-1,
  b*a^-1*c*a*b*c*b^-1*a*d*b*a*c^-1*d^-1*b*d*b^-1*a*d^-1*c^-1*b^-1*a^-1*d*b^-1\
*d*c^-1*b^-1*a^-1*d^-1*c^-1*a*b*a*c^-1*d*a*c^-1*d^-1*a*c^-1*d*a*c^-1*a^-1*d*a\
*c^-1*b^-1*d*a*d*a^-1*c*a*b^-1*c^-1*d*a*b^-1*d^-1*a*c^-1*d*a*b^-1*c^-1*a^-1*d\
^-1*a^-1*b^-1*d*b^-1*a^-1*c*a*d^-1,
  a^-1*d*a*b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d*c^-1*d^-1*a*b^-1*c^-1*d*b*d^-1*b*\
c^-1*b^-1*a^-1*d^-1*c*b^-1*(d^-1*a^-1)^2*d^-1*b^-1*c^-1*b*a^-1*d*a*b^-1*d^-1*\
a*c*d*a^-1*b^-1*d^-1*a^-1*d*a^-1*d^-1*c^-1*a*c^-1*b^-1*a*d^-1*a*b^-1*d*a*c^-1\
*(d*a*b^-1)^2*c*d^-1*b^-1*d^-1*a^-1*c*a^-1*b^-1,
  d^-1*a*c*d*a*b^-1*c*a^-1*b^-1*d^-1*a*b*a^-1*d^-1*b*d^-1*b^-1*c^-1*d*a^-1*c^\
-1*d^-1*b^-1*a^-1*c^-1*a*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*c*a^-1*d^-1\
*c*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*b^-1*c^-1*a^-1*(d\
^-1*b^-1*c^-1)^2*b^-1*a*(b^-1*d^-1)^2*c*b^-1*a^-1*d^-1*a*c^-1*a*b,
  d^-1*b*c*b*a*d^-1*a^-1*b*a^-1*d^-1*b^-1*a^-1*d*a^-1*c*b*c*a^-1*c^-1*d^-1*a*\
b^-1*c^-1*a^-1*b*(d^-1*b*a)^2*c^-1*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*a*b^-1*c^-1*\
b^-1*a*d^-1*b^-1*d*c*b^-1*a^-1*d*c^-1*b^-1*c^-1*d^-1*a*b^-1*c*d^-1*(b^-1*d^-1\
*a)^2*(d^-1*b^-1)^2*c*d^-1*c^-1*a^-1*c^-1*d^-1*a,
  d*a^-1*d*a*b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*a^-1*c^-1*a*b^-1*d*a^-1\
*b^-1*d^-1*a*b*c*b^-1*d*a*b^-1*c*(d^-1*b^-1)^2*a*b^-1*d*a*d^-1*a^-1*c*a^-1*b^\
-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a*b^-1*d*a*b^-1*c^-1*d^-1*b^-1\
*d^-1*c*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*c^-1,
  a^-1*d*b*d^-1*c*b^-1*a^-1*d^-1*c^-1*b*c*d^-1*b*d^-1*c*b^-1*a^-1*d^-1*a*c^-1\
*a^-1*(d^-1*b^-1)^2*c^-1*d^-1*c*a*c*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d\
^-1*b^-1*c^-1*b*c^-1*a*d^-1*b^-1*c^-1*b*c*d^-1*c^-1*a*d^-1*c^-1*b^-1*d^-1*c^-\
1*a*c^-1*b*a^-1*d^-1*c*b^-1*c*a^-1*b^-1*a*d^-1*a*c^-1*a^-1*b*c*d,
  c^-1*b*d*a*b^-1*c*d*b^-1*d*c^-1*b^-1*c*a^-1*d*a^-1*b*a^-1*d^-1*b^-1*d^-1*c^\
-1*b*a^-1*d^-1*c*b*c^-1*d*c*b*a*c^-1*a^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*c^\
-1*a*d*a^-1*d^-1*c*a^-1*(d^-1*a)^2*c^-1*d*a^-1*d^-1*c^-1*b*c^-1*d^-1*c*a*c^-1\
*b*(a^-1*d)^2*b*c^-1*a^-1*d*a*d,
  d*a*b*c*b*d*a*b^-1*c*d*b^-1*d*a*b^-1*a*d*a^-1*c^-1*a*d^-1*c^-1*b^-1*d^-1*b^\
-1*d*a*b^-1*c*a*c*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a^-1*b^-1*d*a*b^-1*d^-1\
*a*c^-1*d*b*a*c*b^-1*d*a*b^-1*d^-1*a*c^-1*d*c^-1*a^-1*c*b^-1*d*a*b^-1*c^-1*d^\
-1*b^-1*d^-1*a^-1*c^-1*a*b^-1*c^-1,
  a*(c*d^-1)^2*c*a^-1*b*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*d^-1*c^-1*b^-1*c*\
b*d^-1*c^-1*a*d*a^-1*c*a*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*c^-1*b^-1*a^-1*d*a*b^\
-1*d*a*c^-1*d*a*b^-1*a^-1*d*b*d^-1*c*b*a^-1*d*b^-1*c^-1*d*a*c*b*a^-1*d*b^-1*a\
*d*a*d^-1*a*d*b^-1*a*d,
  d*a*b^-1*c*d*b^-1*d*a*b*c^-1*d^-1*a^-1*d*b*a*b*d^-1*c^-1*d^-1*b*c^-1*a^-1*b\
^-1*a*d*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b*d^-1*a^-1*b^-1*d*b^-1*a^-1*b^-1*c^-1*\
b*d^-1*a^-1*c^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*b*d^-1\
*b^-1*c^-1*a^-1*b^-1*d^-1*a*c*a^-1*b^-1*d*b^-1*d^-1*b^-1*a^-1*b^-1*c^-1*a^-1,
  a^-1*d^-1*b*a^-1*b^-1*c^-1*b^-1*d*a*d*c*a*b*a^-1*d*a^-1*b^-1*c*a*(d*a^-1)^2\
*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b*a^-1*d^-1*c*a^-1*d*a*d*c^-1*b^-1*c^-1*(d^-1*c\
^-1*a)^2*d*a*d*a^-1*c^-1*a*b^-1*c*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*b^-1\
*d^-1*a*b*a^-1*c^-1*a*b^-1*a^-1*d^-1*c^-1,
  b^-1*c*a^-1*c*d*b*d^-1*c*(b^-1*a^-1*d^-1)^2*a^-1*c*a*b^-1*d^-1*c*b^-1*a^-1*\
d*a*b^-1*d^-1*a*c^-1*d*a*d*c*a*d^-1*(b^-1*c^-1)^2*d^-1*c^-1*a*d^-1*c*b^-1*d^-\
1*b^-1*a*d^-1*b*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c^-1*a^-1*c*d*a*b*(c^-1*a^-\
1*d^-1)^2*a^-1*d^-1*a^-1*b^-1*d*a^-1*c,
  b*d^-1*a*b^-1*c*d*b^-1*d^-1*b*a^-1*d*b^-1*a^-1*d*a*b*d*a*c^-1*d*c^-1*b^-1*c\
*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*b*a*d^-1*c^-1*b^-1*c*d^-1*c*(a^-1*b*d^-1)^\
2*b*d^-1*a*b^-1*c^-1*b^-1*d^-1*a*d*a*c^-1*d^-1*b^-1*a*(d^-1*b^-1)^2*a*c*(d^-1\
*b^-1)^3*c^-1*d^-1*a^-1*c^-1*a,
  b^-1*a^-1*d*b*d^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*c^-1*a*d^-1*c^-1*d^-1*b^-1*a*\
d^-1*b^-1*d^-1*c*a^-1*b*d^-1*a^-1*c*b^-1*c^-1*(a^-1*d^-1)^2*b^-1*c^-1*b^-1*a^\
-1*d*a*b^-1*d^-1*a*c^-1*d*a^-1*d^-1*a^-1*c*b^-1*c^-1*b*a*d^-1*b^-1*c^-1*b*a^-\
1*d*a*b^-1*d^-1*a*c^-1*d*a*d^-1*c^-1*d*a^-1*c*b*a*d^-1*b^-1*a*c,
  d*a*b*d^-1*a*c*d*a*(b*d^-1)^2*a^-1*d*a^-1*b^-1*a*d*b^-1*c^-1*b^-1*d^-1*c*b^\
-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1*a^-1*b^-1*a*d*c*b*c*b^-1*a*d^-\
1*c*b^-1*a*c*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*a^-1*d^-1*c*a*d^-1*a*d*b^-1*c*d^-\
1*c^-1*b^-1*c^-1*a^-1*d*c*a*b^-1*c^-1*b^-1,
  a^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*b*c^-1*a*b*d^-1*a^-1*b^-1*a^-\
1*d^-1*b*d^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*c*a*b*a^-1*d*a*b*c^-1*d^-1*b*d^-1*c^\
-1*b^-1*c^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*b^-1*c*b^-1*d^-1*a*b*c^-1*(d^-1*b)^2*a\
*d*c^-1*a*d*a*b^-1*c*a^-1*d^-1*a^-1*b^-1*c*a^-1*c^-1*d^-1,
  c*d*a^-1*b^-1*d*c^-1*b*c*a*d^-1*a*b^-1*c*b^-1*a*d^-1*b*c^-1*b^-1*a*d^-1*b*d\
^-1*c^-1*b^-1*a^-1*d*b^-1*a^-1*c*a^-1*b^-1*a^-1*d*a^-1*d^-1*c^-1*d*a*c^-1*b^-\
1*c^-1*d*a*d^-1*c*a^-1*d*a^-1*d^-1*a*d*a^-1*b*c^-1*d*a*d^-1*a^-1*b*d^-1*a*b*a\
^-1*d^-1*a^-1*c^-1*d*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1,
  a*d*b^-1*a^-1*d^-1*c*a^-1*d*b*a^-1*d^-1*a*c^-1*b*c^-1*d^-1*c*a^-1*d^-1*b^-1\
*a^-1*d*a*(b^-1*d^-1)^2*a*c^-1*d^-1*c*a*d^-1*a*b*c^-1*a^-1*d^-1*a^-1*b^-1*d*c\
*b^-1*a^-1*d^-1*c*d^-1*b^-1*a*b^-1*c^-1*a^-1*d^-1*(c^-1*b)^2*a*d^-1*b*c^-1*b^\
-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*c^-1*b^-1*c^-1*a^-1*d^-1*c^-1,
  d*b^-1*a*d^-1*a^-1*d*b*c*d^-1*a^-1*c^-1*d^-1*c*a^-1*c*d^-1*c*(b^-1*d^-1)^2*\
a^-1*b*c^-1*b^-1*a*d^-1*a^-1*c^-1*b*d^-1*a*c^-1*d^-1*c*a^-1*b*a^-1*d*a*c^-1*b\
^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*c*a^-1*b*c^-1*(b^-1*d)^2*c^-1*b^-1*a^-1*d*\
b^-1*c^-1*b^-1*d^-1*b^-1*(a*d)^2*a^-1*b^-1*c^-1*a*b,
  c*d^-1*a^-1*c^-1*b*c*a^-1*d*b*d^-1*c*b*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*d^-1*a\
*b^-1*d^-1*c*d^-1*c^-1*b*d^-1*a^-1*d^-1*b^-1*c^-1*a*d^-1*a*b^-1*d^-1*c^-1*b^-\
1*a^-1*d*c^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*c*d^-1*c^-1*a^-1*d*b^-1*a^-\
1*d*a*b^-1*d^-1*b^-1*a*b^-1*c^-1*b*d^-1*a*b*d^-1*c^-1*a^-1*d*b^-1*a^-1*b^-1,
  d^-1*a*c^-1*a*b*a*d*b^-1*a*c^-1*(d^-1*b^-1)^2*a*c^-1*b^-1*d*a*b*c^-1*d*b^-1\
*d^-1*a*b^-1*c^-1*a^-1*c^-1*d^-1*c*b^-1*d^-1*b*d^-1*b^-1*a^-1*b^-1*d^-1*a^-1*\
c*a*b^-1*d^-1*a*d*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*(c^-1*b^-1\
*d^-1)^2*b^-1*a*c^-1*a^-1*d^-1*c^-1*d*b^-1*c*a*c^-1*d^-1*a,
  b*c*a^-1*c*d^-1*a*b*(d*a*c^-1)^2*(d^-1*a^-1)^2*b*c^-1*b^-1*a^-1*d*a*b*d*a*(\
c^-1*d^-1)^2*c*(b^-1*d^-1)^2*a^-1*b^-1*(a*c^-1*d)^2*c^-1*a^-1*d^-1*b*a^-1*d*a\
*b*c^-1*b*d^-1*a*c^-1*d^-1*c^-1*a^-1*b*a^-1*c^-1*d^-1*a*b*(d^-1*a*c^-1)^2*d^-\
1*c*b^-1*c^-1*d^-1,
  b*a^-1*b^-1*c*a^-1*d*b*d^-1*c*b*a^-1*d^-1*c*b^-1*d^-1*a*b^-1*c*d^-1*b*d^-1*\
b^-1*a^-1*b^-1*d^-1*a^-1*b*c*b^-1*c^-1*(a*d^-1)^2*c^-1*b^-1*c*b*d^-1*c*a*d*a^\
-1*d^-1*a^-1*b^-1*d^-1*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*\
d^-1*b^-1*c*(d^-1*c^-1*b^-1*a^-1*d*b^-1)^2*a^-1*d,
  b*c*b^-1*a^-1*d^-1*a*b*d*a*c*d*b^-1*a*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*c^-\
1*b^-1*c*a*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1*b^-1*c^-1*a*b*a*d*c^-1\
*(b^-1*a^-1*b^-1*c^-1*d^-1)^2*a*d*b^-1*c^-1*d*c^-1*a*d*c^-1*a^-1*b^-1*c^-1*a*\
c^-1*b^-1*a*d*a*d^-1*b^-1*c^-1*a*b^-1*d,
  b*a^-1*c*b^-1*c*d*b^-1*a*b*c^-1*a^-1*d^-1*a*d*a*c*a*b*d*a*d^-1*b^-1*a*c*b*c\
*a^-1*d^-1*a*d*a*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*c^-1*d^-1*a*d*a^-1*b^-\
1*d*b^-1*a*b^-1*d*a*b*c^-1*d^-1*b^-1*d*b^-1*a^-1*c^-1*a*b^-1*c^-1*d^-1*b^-1*d\
^-1*c^-1*b^-1*a^-1*d^-1*c*b^-1*c^-1*a*d,
  c*d*a^-1*d^-1*c*d^-1*a^-1*b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*c*a^-1\
*d*b*d^-1*c*b^-1*a^-1*d^-1*b^-1*a*d*a*b^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^\
-1*b*c^-1*b^-1*d^-1*c*d^-1*b*a*c^-1*a^-1*d*a^-1*b*a^-1*d^-1*b*d^-1*c^-1*b^-1*\
a^-1*d^-1*c*b^-1*c^-1*d*a*d^-1*c^-1*a^-1*b*c*b^-1*a*d^-1*c^-1*b,
  c^-1*b*d*a*b*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*c*(b^-\
1*a^-1*d)^2*a*d^-1*a^-1*b^-1*d*a*d^-1*c*a*c*b^-1*d^-1*c*a*c*b*a^-1*d*b^-1*c^-\
1*b^-1*d*a*b^-1*c^-1*d*b^-1*a^-1*d^-1*c*a^-1*d^-1*a^-1*d*b^-1*a*c*a^-1*d*b^-1\
*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*b^-1,
  a^-1*d^-1*a*d*b^-1*d*c*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*a^-1*b^-1*c^-1*b^-1*\
a*d^-1*(b^-1*c^-1)^2*d^-1*c^-1*a*d^-1*b^-1*a^-1*(c^-1*b^-1)^2*d*a*b^-1*c*d*b^\
-1*d^-1*b^-1*a^-1*b^-1*d*a*b^-1*d^-1*a^-1*b^-1*a*d*b^-1*a^-1*d*b^-1*d^-1*c*b^\
-1*a^-1*d^-1*c*b^-1*c*d*b^-1*a*c*b^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1,
  b^-1*a*(b*d)^2*b*a*c^-1*d^-1*a^-1*d^-1*b*a*d^-1*b^-1*a*c^-1*d*c^-1*b*c^-1*d\
^-1*c*a^-1*d*a*d^-1*b^-1*(c^-1*b^-1*d)^2*a*b^-1*c*a^-1*b*a*c*b^-1*d*a^-1*d*a*\
c*a^-1*b^-1*d^-1*b^-1*c^-1*a^-1*b^-1*d^-1*a*d*c^-1*b^-1*a^-1*b^-1*d^-1*a^-1*d\
^-1*b*c^-1*d^-1*a^-1*b*c^-1*d^-1*a*d^-1*a^-1*b^-1*d^-1,
  d^-1*c^-1*b*d*a*b*c^-1*d^-1*b^-1*d^-1*b*a^-1*b^-1*(d^-1*a)^2*d*c^-1*b^-1*c*\
a*d^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*c^-1*a*d^-1*b*d^-1*c*b^-1*a^-1*d\
^-1*a*c*b^-1*c^-1*b^-1*d^-1*b*a*c*d^-1*a^-1*c*d^-1*a*c^-1*b^-1*c^-1*a*d*a*(b^\
-1*d^-1)^2*c*a^-1*b*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*a^-1,
  d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c*b*a*d*a^-1*b^-1*c^-1*a^-1*c^-1*b^-1*d*a^-1*b\
^-1*d^-1*b*c*b^-1*a^-1*d*a*b^-1*d*a*c*d*c^-1*a*b^-1*d^-1*a*b^-1*a^-1*d*b^-1*d\
*c^-1*b^-1*a^-1*d*b^-1*c^-1*a^-1*b*d^-1*b^-1*d^-1*c^-1*a^-1*b*a*c^-1*b^-1*d*a\
^-1*b*a*d*a*b^-1*d^-1*(a*c^-1*d)^2*c^-1*b^-1*a^-1*c^-1,
  c*a^-1*d*b^-1*d*a^-1*c*a^-1*d*a^-1*c*d*a*b^-1*d*a*c*d^-1*c^-1*a^-1*d*c^-1*a\
*b*d*a*c*b^-1*d*b^-1*a*d^-1*c^-1*a*c^-1*b*c^-1*d^-1*a*b*c^-1*(d^-1*b^-1)^2*c^\
-1*b*a*c*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*c*d^-1*c^-1*b^-1*c^-1*d^-1*a*\
b*c^-1*(d^-1*b^-1)^2*a^-1*b^-1*d^-1*a*d*a,
  b*c*d^-1*a^-1*d^-1*b^-1*c^-1*b*a^-1*b^-1*d^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d*c^\
-1*a*d^-1*c^-1*b*c^-1*b^-1*d^-1*c*a*(d^-1*c)^2*a^-1*b^-1*c^-1*a*b^-1*d^-1*b*c\
^-1*b^-1*a*c*a*d^-1*c^-1*a*d*b^-1*d^-1*c*(b^-1*a^-1*d^-1)^2*c^-1*a^-1*d*b^-1*\
a^-1*d*a*b^-1*c^-1*b^-1*a^-1*b^-1*d*a^-1*d*a*d^-1*a^-1*b^-1*a*c,
  d*a^-1*b^-1*a*d^-1*c^-1*a^-1*b*a*d^-1*a*b^-1*c^-1*d*b*d^-1*b^-1*a*b^-1*c*a^\
-1*b*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*c^-1*a*c^-1*b^-1*d*a*b^-1*d^-1*c^\
-1*b*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c^-1*a^-1*b*a^-1*d*a*b^-1*c^-1*(d^-1*b\
^-1)^2*a^-1*c^-1*d^-1*b^-1*c^-1*d*a^-1*c*d^-1*(b^-1*c^-1)^2*d^-1*a^-1*b^-1,
  b^-1*d*a*d^-1*a^-1*b^-1*d^-1*b^-1*c*a*b^-1*d*a^-1*d^-1*a^-1*c*a^-1*b^-1*c*(\
a*d^-1*b^-1)^2*d^-1*c^-1*b*a^-1*d^-1*b^-1*c*b^-1*d*a^-1*c^-1*d*c^-1*d^-1*a^-1\
*b*a*d^-1*a*c*b*a^-1*d^-1*a*d*a^-1*c*b*a*d^-1*c*b*a*c*a*d*b^-1*d^-1*c^-1*a^-1\
*b^-1*d^-1*a^-1*c*b^-1*c*d^-1*b^-1*c^-1*b*c*a,
  c^-1*a*b*c*d^-1*a^-1*d*a^-1*d^-1*a^-1*b*a*d*b*d^-1*b*c*a^-1*b*a*d^-1*c^-1*d\
^-1*a^-1*d^-1*b^-1*c^-1*a*b^-1*d^-1*c^-1*b^-1*c^-1*d*c^-1*a^-1*b*d*a^-1*b^-1*\
d*b^-1*a*d^-1*a^-1*b^-1*c^-1*b^-1*a*d*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*\
b^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*a^-1*d*c^-1*d^-1*c*a^-1*d^-1*a^-1*b^-1*c^-1*d\
^-1,
  b^-1*d*a*b*c*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1*c^-1*d^-1*c^-1*a*c^-1*b^-1*d^-1*\
a*b^-1*c*d^-1*b^-1*d*b^-1*a^-1*c^-1*a^-1*d^-1*a^-1*d*a*b*a^-1*d^-1*b^-1*d^-1*\
c*b*a^-1*d^-1*c^-1*b*c^-1*a*d^-1*c*a*d^-1*c^-1*(b^-1*d)^2*b^-1*a^-1*b^-1*d^-1\
*a^-1*b^-1*c^-1*a^-1*c*d^-1*a^-1*c^-1*a*b^-1*c*d^-1*b^-1*c^-1*a*d*a*c*a^-1,
  c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*d*c*a^-1*(b*c^-1*d^-1)^2*b^-1*a*b*d^-1*b^-1*d\
^-1*b*c^-1*d^-1*a^-1*c^-1*d^-1*b*a*d^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*\
d^-1*a^-1*b*c^-1*b^-1*a^-1*b^-1*c^-1*b^-1*d^-1*a^-1*c^-1*b^-1*d*a*b^-1*c^-1*b\
^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*\
a^-1*b^-1*c^-1*d^-1,
  d^-1*a^-1*c*b^-1*c*b*a*b^-1*d^-1*c^-1*b^-1*a^-1*d*b*a*c^-1*d^-1*c^-1*a^-1*d\
*a^-1*c^-1*b^-1*a*d^-1*c^-1*d*a^-1*b^-1*c^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*\
d*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*d*a*c*a^-1*d^-1*a^-1*c^-1*d^-1*(c^-1*b^-1)^2*\
d^-1*a^-1*b^-1*c^-1*b^-1*a*d*a*b*a^-1*c^-1*b^-1*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*\
d*a*b^-1,
  d^-1*b*d^-1*a*d*a*b^-1*c^-1*b*d*c*b*a^-1*d^-1*b*c*b*c^-1*d^-1*a*b^-1*c^-1*d\
^-1*b^-1*d^-1*c*a*c*b^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*d^-1*b^-1*d^-1*c\
*b^-1*a^-1*d^-1*(b^-1*d^-1*c)^2*b*c*b*a^-1*d^-1*a*b^-1*d^-1*a*c*d*c*a^-1*b^-1\
*c^-1*a*d^-1*b^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*b^-1*c,
  c*a*c^-1*d*c*d*a*b*c^-1*b*d*a*c*a^-1*b^-1*d*a*c*d^-1*c*b^-1*a^-1*d*b*d*a*c*\
a*d^-1*b^-1*c^-1*d^-1*c^-1*a*d^-1*a*c^-1*a^-1*b*c^-1*d^-1*c^-1*b*a^-1*d*a*b^-\
1*d^-1*a*c^-1*d^-1*c^-1*b*c^-1*a^-1*(b^-1*d^-1)^2*c^-1*b*a^-1*d^-1*b^-1*d^-1*\
c^-1*a^-1*b^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*b^-1,
  c*b*d*a*c*b*a^-1*d*a^-1*c^-1*a*b^-1*d*b*c*b*a*c^-1*a^-1*d*a*c^-1*d*a*b^-1*c\
*d*b^-1*d*a^-1*c^-1*d^-1*a*b^-1*c*b^-1*d*b*a*c*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a\
^-1*d*c*b*c^-1*b*d^-1*a^-1*c*a*b^-1*c^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a*c*d^-\
1*a*b^-1*a*c^-1*b^-1*d*a^-1*d*b,
  b^-1*d*a*b*c^-1*d^-1*b*d^-1*a*b^-1*a*d*b^-1*d*c^-1*b*a^-1*d*b^-1*a^-1*b*c^-\
1*a^-1*c*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*d^-1*c*b*c*b^-1*d^-1*c^-1*a\
*d^-1*c*b^-1*a^-1*d*a*b*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*\
a^-1*b^-1*c^-1*a^-1*d*c*b^-1*a^-1*d^-1*c*b^-1*c^-1*a*c*b^-1*a^-1,
  a*c^-1*b^-1*a*d*a^-1*c*b^-1*a*c^-1*a*b^-1*a^-1*d*b*d^-1*c*b^-1*a^-1*d^-1*b^\
-1*c*b^-1*a*b*d*c^-1*a^-1*d*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a*b^-1*d*a*b*c^-1*d\
*b^-1*d*a*b^-1*a^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*b^-1*c^-1*a^-1*\
d^-1*b^-1*d^-1*a^-1*d^-1*c^-1*b^-1*d*b^-1*c^-1*a^-1*b*a*d^-1*a*b^-1*a^-1*c^-1\
*d^-1,
  b*a^-1*d^-1*a*c*b^-1*c*d*c*a*d^-1*c^-1*a^-1*b^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1\
*d^-1*a*(c*b)^2*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*b*d^-1*c*b^-1*a^-1*d^-1*b^-1*a\
^-1*d*b^-1*a*d^-1*c*a^-1*b*d^-1*b^-1*d*a*c^-1*b^-1*c*a*d^-1*b^-1*d*a^-1*c*b^-\
1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*b^-1*c^-1,
  a^-1*d^-1*b^-1*d^-1*b*a*c*d*a*b*a*c*a^-1*d^-1*b^-1*c^-1*b*d*a*b^-1*c^-1*(d^\
-1*b^-1)^2*a*d^-1*a*d*a*b^-1*c*a^-1*d^-1*a^-1*c^-1*a^-1*b^-1*c*d^-1*c^-1*a^-1\
*d^-1*a*d^-1*(a^-1*d^-1*b^-1*c^-1)^2*d*a^-1*c^-1*d^-1*c*b*c^-1*b*d^-1*b^-1*a*\
b^-1*d^-1*b*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*b^-1,
  d*c*a*d*a^-1*d*c^-1*d^-1*c*a^-1*d^-1*c^-1*a^-1*b^-1*c*d*b^-1*c^-1*b^-1*c*d*\
c^-1*a*d^-1*b*a^-1*b*d^-1*a^-1*d^-1*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*\
a^-1*b^-1*(a*d^-1*b)^2*a*c*d^-1*c^-1*b*c^-1*d^-1*b*d^-1*c^-1*b*c^-1*d*a^-1*d^\
-1*b*c^-1*b^-1*c^-1*a*c^-1*d*a^-1*c^-1*d^-1*b^-1*a^-1*d^-1*a*c,
  d^-1*b^-1*c^-1*b^-1*d^-1*a*b*c*d*b*d^-1*a*b*a^-1*d^-1*b^-1*a^-1*d^-1*b*d*c^\
-1*b*a^-1*d^-1*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*c*a*c*b^-1*(d^-1*a\
*b)^2*a*c*d^-1*a*d^-1*c^-1*d^-1*b^-1*a^-1*c^-1*b^-1*c^-1*d^-1*a*b*d^-1*a*c*d^\
-1*a*b^-1*a*d^-1*a*b^-1*c^-1*d*b^-1*d*a*b^-1*a^-1*c^-1*b^-1,
  b*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c^-1*b*c^-1*a^-1*b^-1*d^-1*c^-1*a^\
-1*d^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c*b*a*d*a*b^-1*d*a*c^-1*d^-1*a*b^-1*a^-1*d^-\
1*c*a^-1*d*b^-1*c^-1*d*a^-1*c*d^-1*c^-1*b^-1*a*b^-1*d^-1*b*c^-1*a*b^-1*d*a^-1\
*d^-1*c^-1*d^-1*a^-1*b*a*c*b^-1*d^-1*a^-1*c^-1*b^-1*c^-1*b*a*d^-1*a^-1*c*b^-1\
*c^-1,
  d*c^-1*d^-1*a^-1*c^-1*b*c*b*a*d*c^-1*a*c^-1*d*a*b^-1*c*d*b^-1*d*c^-1*b*a^-1\
*b^-1*c^-1*b^-1*d^-1*b^-1*a*c^-1*d^-1*b*d^-1*b^-1*a^-1*d^-1*a^-1*b^-1*c^-1*d^\
-1*b^-1*d*b^-1*a^-1*b^-1*d*a*d^-1*a^-1*d*c^-1*b^-1*d^-1*a^-1*d*b^-1*c^-1*b*d*\
a*b^-1*c^-1*d^-1*b^-1*a*b^-1*(d*a*c^-1)^2*b^-1*a^-1*c^-1*a^-1*b^-1*a,
  a*d*c^-1*b^-1*c^-1*a^-1*c^-1*d*a*b^-1*d*a*c*d^-1*a*c*d*a^-1*c*b*a^-1*d*b^-1\
*d^-1*c^-1*b^-1*d^-1*a^-1*b*a*d*a^-1*d*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a^-1\
*b^-1*a*d^-1*b^-1*a^-1*d*a*b*d^-1*a*c^-1*d^-1*c^-1*a*c*(b^-1*d^-1)^2*c^-1*a^-\
1*b^-1*d^-1*a^-1*c^-1*b^-1*c*d^-1*b^-1*d^-1*a*b*a^-1*d*a*d^-1,
  c*d^-1*c^-1*a*b^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b*c^-1*b*a^-1*b^-1*d^-\
1*(c^-1*b^-1)^2*a*d^-1*b*a^-1*d*a*b^-1*c^-1*b^-1*d*a^-1*b*d*a^-1*(c*b^-1)^2*a\
*d^-1*c*b^-1*a*b^-1*d*a*d^-1*b^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b*c*a*d\
*a*d^-1*b*a^-1*d^-1*b^-1*a*d^-1*a*b^-1*c*d^-1*c^-1*b,
  b^-1*a*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1\
*c^-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d*a*b*a^-1*d^-1*a*d^-1*a^-1*b*a^-1*c^-1*d^-1*\
a*c^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*c*b^-1*d*a^-1*b^-1*a^-1*c^-1*a*\
d^-1*b^-1*c^-1*a^-1*b^-1*a^-1*d*b^-1*a^-1*b^-1*a*c^-1*a^-1*d*b^-1*a*c*d^-1*b^\
-1*d*a*c^-1,
  d^-1*b^-1*c^-1*a^-1*c*d^-1*b*c*b*a^-1*d^-1*a*d^-1*c*a*c^-1*d^-1*c^-1*a*b^-1\
*c^-1*(a^-1*c*d^-1)^2*b^-1*c^-1*b^-1*a^-1*c^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*d^-\
1*a^-1*d*a*b^-1*c*b^-1*a*d^-1*b^-1*c^-1*(a^-1*c*d^-1)^2*c*b^-1*c^-1*b*d^-1*a^\
-1*b^-1*c^-1*b^-1*d*c^-1*b^-1*c*d^-1*c^-1*a^-1*c*a*d*c*a^-1*d*b^-1,
  b*d^-1*a^-1*c^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*a*b^-1*c*d*a^-1*d*b^-1*a*(b^\
-1*d^-1)^2*(a*b*d^-1*b^-1)^2*d^-1*c^-1*b^-1*a^-1*d*c^-1*b^-1*d^-1*b*c^-1*d*a*\
b^-1*c^-1*d*c^-1*a^-1*b^-1*a^-1*c*(d^-1*b^-1)^2*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*\
c^-1*a^-1*d^-1*a^-1*b^-1*a^-1*c^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*\
a,
  c*d^-1*c*a^-1*b^-1*a^-1*c^-1*a^-1*d*b*d^-1*b^-1*c^-1*d^-1*c*a*b^-1*a^-1*d^-\
1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b*a^-1*(b^-1*c^-1)^2*d^-1*c*a*d^-1*c^-1*b^-1*d^-\
1*(b*c^-1)^2*a^-1*c^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*\
(d^-1*b^-1)^2*a^-1*c*b^-1*c^-1*a*d*a*d^-1*c*b^-1*c*a^-1*d^-1*(a*d)^2*a,
  d^-1*c*b^-1*a*c^-1*a*b^-1*d^-1*a*b^-1*c*d*b*d^-1*a^-1*b^-1*c^-1*a^-1*c*d^-1\
*a^-1*b^-1*d^-1*b^-1*a*d*b^-1*a*c^-1*d^-1*c*b^-1*c^-1*d^-1*c*d*b^-1*c^-1*a*c^\
-1*(d^-1*b^-1*d^-1*c*b^-1*a^-1)^2*d^-1*a^-1*b^-1*d^-1*a*b^-1*d*a*c*b^-1*a*b^-\
1*d*a*b^-1*c^-1*(d^-1*b^-1)^2*c*a^-1*b^-1*d*a*b,
  (a*d^-1)^2*b^-1*d^-1*c*b^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*b^-1*a*d^-1*c*a^-1*d*\
b^-1*a^-1*d*a*b^-1*c*b^-1*d^-1*a^-1*b^-1*c^-1*b*c^-1*a*d^-1*b^-1*c^-1*d^-1*a^\
-1*c^-1*d^-1*c^-1*b^-1*c*b^-1*d^-1*a^-1*b^-1*c*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*\
a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*d*a*b^-1*d^-1*c*a^-1*c*b^-1*d^-1*b^-1*a^-1*c*a*\
d^-1*a*d,
  b*a^-1*d^-1*b^-1*a^-1*d*a^-1*c*b*a*c^-1*a*d*a^-1*c*a*b^-1*a*d^-1*a^-1*d^-1*\
b^-1*c^-1*a*d*c*a^-1*c^-1*d^-1*b^-1*a*c^-1*d^-1*c*b*c*b^-1*a*(d^-1*c^-1)^2*a^\
-1*b^-1*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c*a^-1*c*d^-1*c^-1*d^-1*a*b*a^\
-1*c^-1*a^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*d*a^-1*b^-1*c^-1,
  a*b^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*a^-1*c*a*b*c^-1*(d^-1*a^-1)^2*d^-1*b*c*\
a*d^-1*b^-1*(d*a)^2*c*d^-1*a^-1*d^-1*c^-1*d*a^-1*b^-1*c^-1*d*a*d^-1*a^-1*b^-1\
*d^-1*b^-1*d*b^-1*a^-1*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*a*b^-1*d*a^-1*b^-1\
*c^-1*a*d*a*b^-1*(d*a*c^-1)^2*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*d^-1,
  b^-1*a*c^-1*d*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*b*d*a^-1*b*c*a*d^-1*a^-1*b^-1*a*\
d*a*c*b*d^-1*a^-1*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*b*c^-1*d^-1*a^-1*c*(a^-1*d^-1\
*b^-1)^2*d^-1*b^-1*a*c^-1*d^-1*a*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1\
*d^-1*a*b^-1*a*c^-1*b^-1*d*a*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b*a^-1*c^-1,
  b*c*a^-1*d*c*b^-1*d^-1*b^-1*a*b*c^-1*a^-1*d^-1*c^-1*d*a^-1*d^-1*b^-1*a*d^-1\
*a^-1*d*a*b*a^-1*d^-1*c^-1*b^-1*(d*a)^2*c*b^-1*c^-1*a^-1*b^-1*a^-1*d^-1*c^-1*\
b^-1*a^-1*d^-1*b^-1*d*a*c*b^-1*a^-1*d*a^-1*c*d^-1*a*b*c*b*c^-1*d^-1*a*b*c^-1*\
d^-1*b^-1*d*a^-1*b*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*c*b^-1*a^-1,
  a*b^-1*c^-1*b^-1*d*b*d^-1*b^-1*c^-1*a^-1*d^-1*a*d^-1*a^-1*d*a*b^-1*c^-1*b^-\
1*d^-1*a*b^-1*c*d*b^-1*d^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*a^\
-1*c*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c*d^-1*b^-1*d^-1*c*a\
^-1*b*d^-1*a*b^-1*a^-1*c^-1*a*d^-1*a*d*a*d^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1\
*d^-1*b^-1*c^-1*a^-1*c^-1,
  a^-1*b^-1*a^-1*d*b^-1*d^-1*c*b*a^-1*d^-1*c*a*b^-1*a*c*a^-1*d^-1*c*a*d^-1*c*\
b^-1*d^-1*b^-1*d*a*b^-1*d^-1*c^-1*b^-1*c^-1*d^-1*c*d^-1*a^-1*c^-1*d*a*d^-1*a*\
c^-1*a*b^-1*c*d*a*d^-1*c^-1*a*b^-1*a^-1*d^-1*a^-1*d*a*c*d^-1*a*b^-1*d^-1*c^-1\
*b^-1*a^-1*d^-1*b*c^-1*b^-1*d^-1*c*b^-1*d*a^-1*(c^-1*b^-1)^2*a*c^-1*d,
  d^-1*b*a*(b*d^-1)^2*b*a*c*d*a^-1*b^-1*d^-1*a^-1*c^-1*a^-1*b*a^-1*d*a^-1*c^-\
1*b^-1*a*d*c^-1*d^-1*a^-1*b^-1*a^-1*d*a*d^-1*a*d*c^-1*a*b^-1*d*c*a^-1*c*d^-1*\
c^-1*b^-1*d^-1*b^-1*d*a*b^-1*c^-1*b^-1*d^-1*b^-1*a*d^-1*b*a*c^-1*d^-1*c^-1*b^\
-1*c^-1*a^-1*d^-1*c*d^-1*a*d^-1*b*a^-1*c*a*b^-1*d^-1*c*a*b*c,
  c^-1*b*d*a*d^-1*c^-1*a*b^-1*c*b*c*d*a*b^-1*c^-1*d*b*d*c^-1*b^-1*c^-1*a^-1*b\
^-1*a^-1*d*c*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*a^-1*d^-1*c*a^-1*d^-1*a^-1*c^-1*a*b\
*a*c^-1*a^-1*d^-1*a*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c^-1*b^-1*a\
^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*a^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d\
^-1*c^-1*b^-1,
  a^-1*d*b*d^-1*c^-1*b*a^-1*d^-1*c^-1*b*c^-1*(a^-1*d^-1)^2*b*a^-1*d*a*b^-1*d*\
a*c^-1*d*a*b^-1*d*a*b*c*d^-1*b^-1*d^-1*a^-1*c*d*a^-1*d^-1*a^-1*b^-1*d^-1*a^-1\
*b*c^-1*b*a^-1*d*a*b^-1*d^-1*a*c*d^-1*b*c^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*\
d^-1*b*a*d^-1*b^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*c^-1*b*c^-1,
  a*(d^-1*b^-1)^2*a^-1*d^-1*a*b*c^-1*b*a*d^-1*(b^-1*c)^2*d^-1*c*a*d^-1*(a^-1*\
d)^2*a*c*d^-1*a*b*d*c^-1*b^-1*a^-1*d^-1*a*c^-1*d^-1*b^-1*c^-1*d^-1*c^-1*a*d^-\
1*a*c*a^-1*b^-1*c^-1*d*a^-1*d^-1*a*c^-1*(d^-1*b^-1)^2*c^-1*d*a^-1*c*a*d^-1*a*\
c^-1*d*a*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a*c^-1*d^-1,
  d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*(c*d^-1)^2*a^-1*d^-1*b^-1*c*a*b^-1*a^-1*d*a*\
c*b^-1*d^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*b^-1*d*a*b^-1*c^-1*d*b^\
-1*d^-1*a*b*a*d*a*b^-1*c^-1*a*c^-1*b^-1*a*d^-1*c^-1*a^-1*b*c^-1*d*a^-1*c^-1*d\
^-1*b^-1*c*b*c*d^-1*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*c*b^-1*c*a,
  a*d^-1*a^-1*c^-1*a*d*c*d*a^-1*b^-1*a*d*b^-1*a^-1*d*b*d^-1*c*b*a^-1*d^-1*b*a\
^-1*c^-1*a*d*a^-1*d^-1*b^-1*c^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*c^-1*b^-1*c\
^-1*a^-1*d^-1*b^-1*d^-1*c*b*a^-1*d^-1*b*c*d*a*d^-1*c*d^-1*c^-1*a^-1*b*d^-1*b^\
-1*a^-1*b^-1*d*a*c^-1*b^-1*d*a*b^-1*c*d^-1*c^-1*a*d^-1*b^-1*c^-1*b,
  a*b^-1*a^-1*d^-1*a^-1*b*a*d^-1*b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*c*a*d^-1*b^-1\
*a*(c^-1*a*d^-1)^2*c*b*d^-1*a^-1*d*a^-1*b*a*d^-1*c^-1*d*a^-1*b^-1*c*a^-1*d^-1\
*c^-1*a*c^-1*d^-1*c*b^-1*d^-1*b^-1*d*a*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d*\
a*b^-1*c*a^-1*c*b*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*c^-1*b^-1*c,
  a^-1*b^-1*c*d*a*c^-1*d^-1*a*c*b^-1*c^-1*a*c^-1*d^-1*b*c^-1*a*b^-1*a^-1*d^-1\
*a^-1*b^-1*c^-1*d^-1*a^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*(d^-1*a)^2*b^-1*c*d^-1*b\
*d*c^-1*a^-1*b*d^-1*a*b^-1*c*(d^-1*b^-1)^2*a*d*c^-1*a^-1*d*a^-1*b^-1*d*b^-1*a\
*d*b*a*c*d*c^-1*b^-1*c^-1*d^-1*b^-1*c*b^-1*c^-1*a*d*a*d^-1*c^-1,
  c^-1*d^-1*b^-1*a*(b*d^-1)^2*b*c*d*a^-1*c*d^-1*a*c^-1*b^-1*a*d^-1*a^-1*c^-1*\
d^-1*c^-1*b^-1*c^-1*b*d^-1*a*d*c^-1*a^-1*d^-1*b*a^-1*d*a*b^-1*c^-1*b^-1*d^-1*\
a*d*a*d^-1*b^-1*a^-1*c^-1*a*d^-1*a*d*a*c^-1*a^-1*d^-1*c*(b^-1*d^-1)^2*a*b^-1*\
a*d^-1*a^-1*c*b^-1*a^-1*d^-1*c^-1*a*c*b*c^-1*b*d^-1*b^-1*d^-1*a^-1*d^-1,
  d^-1*b^-1*c^-1*d^-1*c^-1*a*c^-1*b^-1*c^-1*b*d^-1*a*b^-1*c*d*b^-1*d^-1*b^-1*\
a^-1*d^-1*a*c*b*a^-1*d*a^-1*c^-1*d*a*b^-1*c^-1*b^-1*(d^-1*a^-1)^2*d^-1*b^-1*c\
^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a^-1*c^-1*d^-1*b^-1*a*d^-1*b*a*c*d*c^-1*b^\
-1*c^-1*a^-1*b^-1*d^-1*c^-1*a*b^-1*c^-1*d^-1*a*b*d^-1*a^-1*d*a^-1*d^-1*a^-1*c\
^-1*a*b^-1*c^-1,
  d*c^-1*a*(d*c)^2*a^-1*d*b^-1*a^-1*d^-1*a*b*c^-1*b*a^-1*(d^-1*a)^2*b*c*b^-1*\
d^-1*b*a*c*(d^-1*b^-1)^2*a*(b*c^-1)^2*d^-1*a*b^-1*c*d^-1*b^-1*d*b^-1*c^-1*b*a\
*d^-1*b^-1*c^-1*a^-1*d*c^-1*b*a^-1*d*b^-1*c^-1*d^-1*b^-1*d^-1*b*a^-1*(b^-1*c^\
-1)^2*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*c^-1*a^-1*b*c^-1,
  d^-1*a*b*c*d*b*d*b^-1*a^-1*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1*c*d^-1*a^-1*c^-1*d\
^-1*c^-1*b^-1*d*a*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*a^-1*c*d^-1*a*b^-1*a\
^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*(d*a^-1)^2*c*a*d^-1*c^-1*b^-1\
*d^-1*c*b^-1*a*d^-1*c*a^-1*c*b^-1*d*c^-1*a^-1*b^-1*d*a^-1*c*b^-1*c*d^-1*c^-1*\
b^-1*c^-1,
  d*a^-1*d^-1*b^-1*c*d*b*c*b^-1*a^-1*d^-1*a*b^-1*d*a*c*d^-1*b^-1*a*b*c^-1*a*d\
^-1*b^-1*a*d^-1*a*b^-1*a^-1*d*a*b*a^-1*d^-1*a*c^-1*a*d^-1*a*(c^-1*b)^2*a^-1*d\
^-1*c^-1*b*c^-1*d^-1*a^-1*c^-1*b^-1*d^-1*a*c^-1*d^-1*b^-1*d^-1*a*b*c^-1*d^-1*\
b^-1*d^-1*a*b^-1*a^-1*d^-1*b^-1*c*b^-1*c^-1*(d^-1*a^-1)^2*b^-1*a^-1*c^-1*b^-1
    ,
  d*c*b*c*d*a*d^-1*c^-1*a*d^-1*c*b^-1*c*b*d^-1*c^-1*a*d^-1*c^-1*b^-1*c*b*d^-1\
*a*b*c^-1*(d^-1*b)^2*a^-1*d^-1*a*c^-1*b*c*b^-1*d^-1*a*(b^-1*d)^2*a^-1*d*c^-1*\
(b^-1*d)^2*c^-1*b^-1*a^-1*d^-1*b^-1*c*a^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^\
-1*a^-1*d*b^-1*a*d^-1*a*c^-1*b^-1*d*a^-1*d^-1*a^-1*c*d^-1*a^-1,
  d*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b*c*d*b*d^-1*a*b^-1*c^-1*b*d*a*b^-1*c*d^-\
1*b^-1*d^-1*a^-1*b^-1*c*a^-1*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d^-1*a*b*a^-1*d^-\
1*b^-1*c^-1*a^-1*b^-1*d^-1*a^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*c^-1*b^-1\
*c^-1*a^-1*b^-1*a*d*b^-1*d^-1*c^-1*b*(a^-1*d)^2*c*a*d*a*b^-1*c^-1*a^-1*d*c,
  c*d*b*d*b^-1*c^-1*a*c^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*d^-1*a^-1*b*a\
^-1*d^-1*a*d*c^-1*a*d^-1*(c^-1*b^-1)^2*d^-1*c^-1*a*d^-1*c*b^-1*c^-1*b*d^-1*a*\
b^-1*c^-1*(d^-1*b^-1)^2*a*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*b^-1*a^\
-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a*d^-1*c^-1*a^-1*d^-1*a^-1*b^-1*a*\
d^-1*b^-1*d*a*b^-1,
  c^-1*d*a*c*d^-1*a*b*d*a^-1*c^-1*d*b^-1*c*b*c*d^-1*c*a*b^-1*c*d*b^-1*d^-1*c^\
-1*b^-1*a^-1*d*b*c^-1*b^-1*c*d^-1*(a^-1*d)^2*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-\
1*b^-1*d^-1*a*b^-1*c^-1*b^-1*d*a*b*c^-1*d^-1*b^-1*d*b^-1*c^-1*b^-1*a*c*a^-1*d\
^-1*a^-1*d*a*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1,
  a*b^-1*c^-1*d*b*d^-1*b^-1*c^-1*a*c^-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d*a*b^-1*a\
^-1*d^-1*a^-1*b^-1*d^-1*(c*d^-1*a^-1)^2*b^-1*a*d^-1*c^-1*a^-1*d*b^-1*c*b^-1*a\
*c^-1*a*d^-1*a^-1*c*b^-1*c^-1*a^-1*(d^-1*b^-1)^2*d^-1*c^-1*b*a^-1*d*a*c*b^-1*\
d*c^-1*a^-1*d*b^-1*a^-1*d^-1*a*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1\
*c^-1*d^-1,
  d*b*a^-1*b^-1*d*c*a^-1*d^-1*c^-1*b*c^-1*a*d*c^-1*b*c*b^-1*d*c^-1*a*d^-1*a*c\
*d^-1*b*c^-1*b^-1*a^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b*a^-1*b^-1*d*a^-1*c*b^-1*a^\
-1*b^-1*c^-1*d*a^-1*c^-1*a*d*b^-1*a*c*b^-1*a^-1*d*a*b^-1*c^-1*d*b^-1*d*a^-1*c\
*a^-1*b^-1*c^-1*d^-1*c^-1*b^-1*d*b^-1*a*c^-1*a*b^-1*a^-1*d^-1*c^-1*b^-1,
  b*c*d*a^-1*d^-1*b*c^-1*a^-1*d^-1*a*b^-1*d*a*c*d*a*b^-1*d^-1*c*a^-1*d^-1*b^-\
1*a^-1*d*a*b^-1*d*a*c^-1*b^-1*d*a*b*c^-1*d^-1*b^-1*d*a*b^-1*(d^-1*c^-1)^2*a^-\
1*b*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b*c^-1*d^-1*a^-1*c^-1*b^-1*d*a*d^-\
1*a^-1*b^-1*d*a^-1*b*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*b*a^-1,
  d*b*d^-1*c^-1*b*a^-1*d^-1*b*c*b^-1*d^-1*c^-1*b*c^-1*b^-1*a^-1*d^-1*c^-1*a*d\
^-1*a*c^-1*d^-1*b^-1*(d^-1*b^-1*a)^2*c^-1*d^-1*c^-1*b^-1*c^-1*d^-1*c*b^-1*c*b\
*d*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*b^-1*c*a^-1*c*d^-1*b^-1*c*b^-1*d*a*b^-1*c^-1*\
(d^-1*b^-1)^2*a^-1*b^-1*d*a^-1*c*d^-1*a^-1*d^-1*b^-1*c^-1*b^-1*a*d^-1*b^-1*c*\
b^-1,
  c^-1*b^-1*d*a*b^-1*c*d*b^-1*d^-1*c^-1*(a*b^-1*d^-1)^2*a*c^-1*d*a^-1*d*b^-1*\
c^-1*d^-1*c^-1*a*d^-1*c^-1*b^-1*a^-1*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*c\
^-1*b^-1*a*c*a*d*b^-1*(a*d)^2*b^-1*c^-1*d^-1*(a^-1*c^-1*d^-1*c^-1)^2*a^-1*b*a\
*c^-1*a^-1*d*a*d*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*c^-1*b^-1,
  d*a*b^-1*c*d*b*d*b^-1*c*b*a*b*d*a*b^-1*c*d*b*d^-1*a*c^-1*b^-1*a^-1*d*a*b^-1\
*d*a*c*(d^-1*a*b^-1)^2*c*d^-1*a*c^-1*d^-1*a*b^-1*d^-1*a^-1*b^-1*a*c*d*b^-1*d^\
-1*a^-1*b^-1*d^-1*b^-1*a*b^-1*(c^-1*d^-1)^2*b*a*c*d^-1*b^-1*d*c^-1*b^-1*c^-1*\
a*d*c^-1*a*b^-1*(d*a)^2*c^-1*b^-1*c^-1,
  b^-1*c^-1*d*a*b^-1*c*d^-1*b*d^-1*a*b*a*d^-1*a*c*b^-1*c^-1*a*d^-1*b*a*c^-1*d\
^-1*b^-1*d^-1*a^-1*b*a^-1*d^-1*a^-1*b^-1*c^-1*d^-1*b*a^-1*c^-1*d^-1*a^-1*c^-1\
*b^-1*c^-1*a^-1*d*c^-1*a*d*a*d^-1*b*d^-1*c^-1*b^-1*a^-1*d*b^-1*c*b^-1*d^-1*(a\
*d)^2*a^-1*b*a^-1*c^-1*b^-1*a*d^-1*b*a*c^-1*d^-1*b^-1*d^-1*b*a^-1*c^-1*a*b^-1\
*a^-1,
  c^-1*(b*c*d^-1*a)^2*c^-1*d^-1*a*d*b*d*a*b*a^-1*c^-1*b^-1*a*d^-1*a*c*d^-1*a^\
-1*c^-1*b^-1*a^-1*d*b^-1*a*d*a*b^-1*c^-1*d^-1*c^-1*a*b^-1*d*a*b^-1*(d^-1*a*c^\
-1)^2*d^-1*a^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d*a*d^-1*a^-1*d*a^-1*c^-1\
*b^-1*d*a*b*c^-1*(d*b^-1)^2*a^-1*b^-1*d*a^-1*b,
  c^-1*b*d*a*b^-1*c*d*b*d^-1*a*b^-1*d^-1*a^-1*d*a^-1*b*d^-1*b^-1*d*c*a^-1*b^-\
1*d^-1*a^-1*c*b*(c^-1*d^-1)^2*a*d*b*c^-1*b^-1*a*d^-1*b*c^-1*b^-1*d*a*b*c^-1*d\
^-1*b^-1*d^-1*a^-1*b*c*a^-1*c*d^-1*b^-1*a*c^-1*d^-1*b^-1*d*b*a^-1*d*a^-1*d^-1\
*b^-1*a*c^-1*a^-1*b^-1*d^-1*c*b^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*d,
  b^-1*d*c*b*a^-1*d^-1*a^-1*b*d^-1*a*b*c^-1*a*d^-1*b^-1*c^-1*b^-1*a^-1*d*a*b*\
d*a*c*d^-1*c^-1*b^-1*a^-1*d*a^-1*d^-1*a*b*d^-1*b^-1*c*a^-1*c*b^-1*d^-1*a^-1*d\
*c^-1*d*a^-1*c^-1*d*(c^-1*b^-1)^2*d^-1*a^-1*c^-1*d*b^-1*c^-1*b*c^-1*d^-1*b^-1\
*a*b^-1*d^-1*a^-1*c*d*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*c*a^-1*c^\
-1,
  a^-1*b^-1*c^-1*b*a*d*c*b^-1*a^-1*c^-1*a*b*d*a^-1*d^-1*(b^-1*c^-1)^2*d*a^-1*\
d^-1*c^-1*d*a*d*b^-1*d^-1*c*a^-1*d*b^-1*a^-1*d*a*b^-1*c^-1*a^-1*d*b*a*b*d^-1*\
b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c^-1*(a*d)^2*c^-1*b^-1*d^-1*a*b^-1*c*d*b^-1*d*a^\
-1*b^-1*c^-1*b^-1*d*c^-1*a*d*c^-1*(b^-1*d^-1)^2*b*a^-1*b^-1*d,
  b*d*b^-1*d^-1*(c*b)^2*a^-1*d*c*d^-1*b^-1*a*b*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-\
1*c^-1*b^-1*c^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c*b^-1*d*a*d^-1*c*b^-\
1*c^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*c^-1*d^-1*c^-1\
*b^-1*c^-1*d^-1*b^-1*(c*b^-1*a^-1*d^-1)^2*b^-1*d^-1*c*a*c^-1*b^-1*c^-1*d^-1*c\
*a^-1*c^-1,
  b*d*a^-1*c^-1*b*d^-1*b^-1*a^-1*c*b*d*c*d^-1*b^-1*a*(b^-1*d)^2*b^-1*c^-1*d^-\
1*c^-1*a*c^-1*d^-1*c*a*d*c^-1*a*d*a*b^-1*c*a^-1*d*b^-1*c^-1*b*c^-1*a^-1*d*a*b\
^-1*d^-1*a*c^-1*d*b*a^-1*c^-1*d^-1*c*b^-1*c^-1*d^-1*c^-1*(a^-1*b^-1*d)^2*a^-1\
*c^-1*b^-1*a*b^-1*(d^-1*b^-1*a)^2*c^-1*d^-1*c*b^-1*c*d^-1,
  a^-1*b*c*b^-1*d^-1*a^-1*d*a^-1*d^-1*c*a^-1*d^-1*b*a^-1*d*a*b^-1*a^-1*c^-1*a\
*d^-1*c*a^-1*d*b^-1*a^-1*d*a*b^-1*a^-1*c*a*d^-1*a^-1*b^-1*c^-1*d*a*b^-1*c*d*b\
^-1*d^-1*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a^-1*d*a*b^-1*c^-1*d^\
-1*b^-1*d*a*b*a^-1*d^-1*a*c*b^-1*c^-1*b*d^-1*a*b^-1*c^-1*d*b^-1*d*b*a^-1*b^-1\
*d,
  c^-1*b*d*a*b*c^-1*d^-1*b^-1*d^-1*b*a^-1*c*b^-1*c*a^-1*b*d^-1*c^-1*d^-1*b^-1\
*a*c^-1*a^-1*d^-1*a^-1*b*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*c*d^-1*c^-1*b*a^-\
1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c*d^-1*c^-1*a^-1*d^-1*b*a^-1*d*a*c^-1*a^-1*b^-1*\
a^-1*c^-1*a*d*a^-1*b*a*d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*\
a^-1*b^-1*a^-1*c*a*d,
  a*d*b*d*c*b^-1*a^-1*d^-1*c*d*a*b^-1*c^-1*(d^-1*b)^2*a^-1*d^-1*a^-1*b^-1*d^-\
1*c*b^-1*c^-1*d^-1*c*b^-1*a^-1*d^-1*a*(b^-1*d^-1)^2*a^-1*d*a^-1*d^-1*b^-1*c^-\
1*b^-1*a^-1*d*a*b^-1*d*a*c*d*a^-1*b^-1*d*a^-1*d^-1*c^-1*a*b^-1*c^-1*(b^-1*d^-\
1)^2*c*a^-1*c*b^-1*a*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c*b*c*d^-1*a*b,
  c^-1*d^-1*a^-1*c*b^-1*a^-1*b^-1*d*a^-1*b*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*b*c\
*a^-1*d*c*a*d^-1*a*b*c^-1*a^-1*d^-1*b^-1*c*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^\
-1*d^-1*c*b^-1*c*b*d^-1*a^-1*b*a*c^-1*b*c^-1*a*d^-1*b*a*c^-1*d*b^-1*d^-1*b*(a\
^-1*d^-1)^2*b^-1*c^-1*(a*d^-1)^3*b*a*c*a^-1*d^-1*a^-1*d*a^-1*b,
  c*b*d*b^-1*a^-1*d^-1*a^-1*c^-1*b*c*a^-1*c*d*c^-1*a^-1*d^-1*a*d*c^-1*a^-1*b*\
d*b^-1*d*a^-1*c^-1*b^-1*c^-1*a^-1*b*d*a^-1*d^-1*b^-1*a^-1*c^-1*d*c^-1*b^-1*d^\
-1*b^-1*d*b^-1*a^-1*d^-1*a*b^-1*c^-1*d*a*c^-1*a^-1*b^-1*a*d*b^-1*d^-1*b^-1*d*\
b^-1*c^-1*d^-1*c^-1*a*c^-1*d^-1*c^-1*d*c^-1*a^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1\
*b^-1*d*a*b*a,
  d^-1*a^-1*c^-1*a*b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*c*d*a*b^-1*c*d*b^-1*d^\
-1*a*b*a^-1*c*d^-1*b*a^-1*b^-1*c^-1*d^-1*a*c*b^-1*a*d*b^-1*a*d^-1*b^-1*a*c^-1\
*d^-1*c*b^-1*c^-1*d^-1*c*a^-1*d*b^-1*d^-1*b^-1*a*c*b^-1*c^-1*d*a*b^-1*c^-1*d^\
-1*b*d^-1*a*c^-1*b^-1*a*b^-1*c^-1*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*a^-1\
*c*b^-1,
  d*a*b*c^-1*d^-1*b*d^-1*c^-1*d^-1*a*b*a^-1*d^-1*b^-1*d*a*b*c*a^-1*(b^-1*d^-1\
)^2*c^-1*a^-1*b^-1*d*a^-1*c^-1*b*c^-1*d*c^-1*b^-1*c^-1*a^-1*d*b^-1*d*c*b*a^-1\
*d^-1*a*b*a^-1*c^-1*d^-1*b^-1*c^-1*b^-1*d*a*b*c^-1*d*b^-1*d*a*b^-1*a^-1*c*a^-\
1*b*d*b^-1*a*c^-1*b^-1*c*b^-1*d^-1*b^-1*d*c^-1*a^-1*b*d^-1*b*a^-1*b^-1*c^-1,
  b^-1*a^-1*d^-1*a*b*c^-1*(d^-1*b)^2*a^-1*d*a*b*c*(d^-1*b^-1)^2*a*c*a^-1*b^-1\
*c^-1*d^-1*a*b^-1*d*a*c*d^-1*a^-1*c^-1*d^-1*b^-1*c^-1*d^-1*(c^-1*a*d)^2*b^-1*\
d^-1*b^-1*a*c^-1*d^-1*a^-1*b*d^-1*a^-1*c^-1*a*d*a*b^-1*c^-1*a^-1*c^-1*b*a^-1*\
d*a*b*d^-1*a*c^-1*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*a^\
-1,
  d*c*d*b*a^-1*c*b^-1*a*d*a*d^-1*a*d*b*c*a*d^-1*c^-1*a*b*a^-1*d^-1*c^-1*a^-1*\
d^-1*b^-1*a^-1*d^-1*a*b*a*d^-1*c*b^-1*c^-1*b*d*c^-1*a*d^-1*c^-1*b^-1*(d^-1*a^\
-1)^2*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*d^-1*a^-1*d^-1*c^-1*a^-1*d^\
-1*b*a^-1*d*a*d^-1*a*c*a*d^-1*a^-1*c^-1*d*a^-1*b*c^-1*a*c^-1*d*c^-1*a^-1,
  b*a*d^-1*a^-1*c^-1*b^-1*d^-1*a*d^-1*b*a*c*b^-1*d*b^-1*a*d^-1*a^-1*d^-1*c^-1\
*b^-1*a*d*c^-1*a^-1*b^-1*c*a*d*a^-1*c^-1*b^-1*c*(a^-1*d^-1)^2*b^-1*d^-1*c^-1*\
a^-1*d*b^-1*a*b^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*b^-1*a*d^-1*c^-1*a^-1*\
d^-1*a^-1*(b^-1*d^-1)^2*c^-1*a^-1*b^-1*d*c^-1*a^-1*d^-1*c*d*(a*d^-1)^2*b*a^-1\
*c*a^-1,
  d^-1*b*d^-1*a*c^-1*b*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d*c*b^-1*c^-1*d^-1*b^-1*c\
^-1*a*c^-1*b^-1*d^-1*b*a*c*d^-1*a*b^-1*d^-1*b^-1*a^-1*b^-1*d^-1*c^-1*a*b^-1*a\
^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*c^-1*a*d^-1*b*a*c*(d^\
-1*b^-1)^2*a^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*b*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-\
1*d*a^-1*b^-1*a*c^-1*a,
  d*a^-1*b*c^-1*b*c*a*d*c*a^-1*b^-1*a*d^-1*c^-1*a*c^-1*b*d*a^-1*b*c^-1*b^-1*c\
^-1*d*a*c^-1*a^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b*d*a*b*a^-1*d*a^-1*b^-1*a*d*b\
*a*d*a*b^-1*d*a*c*d^-1*c^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*\
d*a^-1*d^-1*c^-1*a^-1*d^-1*b*a^-1*d*a*b*c^-1*b^-1*d^-1*c^-1*b*c^-1,
  d*a*b^-1*d*a*c*d^-1*b^-1*a^-1*c*d^-1*a*d*c*a*d*a*c^-1*d^-1*b*a*(b*d^-1)^2*c\
^-1*b*a^-1*d^-1*b^-1*a^-1*c^-1*a*b^-1*d^-1*b^-1*c^-1*a^-1*b^-1*d^-1*b*d^-1*c^\
-1*a^-1*b*d^-1*b*d*a^-1*b^-1*a^-1*d^-1*b*d^-1*c^-1*a^-1*b^-1*c*d^-1*b^-1*a*c^\
-1*d^-1*c^-1*b^-1*(c*d^-1)^2*a*b^-1*c^-1*d^-1*b*d^-1*a*c^-1*d^-1*a^-1*c*a^-1*\
d^-1*a,
  b^-1*a*b^-1*d^-1*b*a^-1*d^-1*a*c*d*a^-1*c*b*c^-1*d*a*c^-1*b*d^-1*a*d*b^-1*d\
^-1*a^-1*c*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*d^-1*a*b*c^-1*\
(d^-1*b^-1)^3*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a^\
-1*b^-1*d^-1*b*a*b*(c^-1*d^-1)^2*b^-1*a*c^-1*(d^-1*b^-1)^2*a^-1*b*c^-1*b^-1*a\
^-1*d,
  c^-1*a^-1*d^-1*a*b*a*d*c^-1*a^-1*c*b*d^-1*a*b^-1*c^-1*d*b*d*a*c^-1*b^-1*d*a\
*b*c^-1*d^-1*a^-1*c^-1*b^-1*d^-1*b^-1*a*c*a^-1*b^-1*d*b^-1*c*a^-1*c*d^-1*a*b^\
-1*d^-1*a*c^-1*d*a*c^-1*d^-1*b^-1*c^-1*b*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*c^\
-1*b^-1*a^-1*c^-1*d^-1*c*a*d*a^-1*b^-1*c*a*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*\
b^-1*a^-1,
  d*a*d^-1*b^-1*a^-1*c*b*a*(d*a^-1)^2*b*d^-1*b^-1*a*b*d*b^-1*d*c*b^-1*a^-1*d*\
b^-1*a^-1*c^-1*d*c^-1*a^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*b\
^-1*a^-1*d^-1*a^-1*c*a*b^-1*d^-1*b^-1*c*(d^-1*c^-1)^2*a*b^-1*d*b^-1*a^-1*c^-1\
*b^-1*d*a*d*a^-1*b^-1*d^-1*b^-1*c^-1*b*a^-1*d*a*b^-1*d*b^-1*c^-1*b*a^-1*d*c^-\
1*b,
  d^-1*c*a^-1*d*b^-1*a^-1*d^-1*a*b^-1*c^-1*d*a*b^-1*c*b^-1*a^-1*d*b*d^-1*c*b*\
a^-1*d^-1*c^-1*b^-1*c*a*(b^-1*d^-1)^2*c*b*a^-1*d*a*(d*a^-1)^2*d^-1*b^-1*d*a^-\
1*c*b*(a*d^-1)^2*a*c^-1*d*a^-1*d^-1*c*b^-1*c^-1*a^-1*d^-1*a*d^-1*c^-1*d^-1*a^\
-1*b^-1*a*d^-1*a*b^-1*d^-1*b^-1*a*b*d*b^-1*d^-1*c*b*a^-1*d^-1*a*c^-1,
  a*c*b^-1*c*a*d^-1*b^-1*a*c^-1*d^-1*b^-1*d*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c*a\
^-1*d*b^-1*a^-1*d*a*b^-1*c*b^-1*a^-1*c^-1*a*d^-1*b*a*c^-1*d*b^-1*d^-1*c^-1*b^\
-1*c^-1*d*a*b^-1*c^-1*d*b^-1*d*a*c^-1*a^-1*b^-1*c^-1*a*b^-1*d^-1*a*b^-1*c^-1*\
d*b^-1*d^-1*(c^-1*b)^2*d^-1*b^-1*a*d^-1*c^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*c^-1*\
a^-1*c^-1*d^-1*a^-1*b,
  d^-1*c*b^-1*a^-1*d*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1*c*d*b^-1*d^-1*\
b^-1*c^-1*b*a^-1*b^-1*d^-1*a^-1*d*a^-1*d^-1*c*d*(a*c*d^-1*b^-1)^2*a*c^-1*d^-1\
*a^-1*c^-1*(b^-1*d^-1)^3*c^-1*b*a^-1*d*b^-1*c*a*d*a*d^-1*c*b^-1*a^-1*c^-1*d*a\
^-1*d^-1*a^-1*d*a^-1*c^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*a*b*a^-1*c^-1,
  d*b^-1*a*b^-1*d^-1*b^-1*a*d*a*b*c^-1*d*c^-1*a*b*a^-1*d^-1*a*b*c^-1*d^-1*b^-\
1*d^-1*a*b*a^-1*d^-1*a*d*c^-1*b^-1*c^-1*a*d^-1*a^-1*b*c^-1*b^-1*a^-1*d*a^-1*b\
^-1*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*c^-1*b^-1*c^-1*d^-1*a^-1*d^-1*a*(b^-1\
*a*c^-1*d^-1)^2*c^-1*b^-1*a*d^-1*a^-1*d*c^-1*b^-1*c^-1*d^-1*a*c*a^-1*d^-1*c*a\
^-1*d*a^-1,
  b^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b*c*b^-1*d^-1*c^-1*b^-1*a*d^-1*(a^-1*d)^2\
*c^-1*d*(a*d^-1)^2*c*b^-1*c*a*b*a^-1*d^-1*c*a^-1*d*b^-1*a^-1*d*a*b^-1*c^-1*b^\
-1*d*a*b^-1*d^-1*b^-1*c*b^-1*d^-1*a*c*b^-1*a*d*a^-1*c*a*b^-1*c^-1*d*a^-1*c*d*\
b^-1*c^-1*b^-1*d*a*b^-1*c*d*b^-1*d*a*b^-1*a^-1*d*a*c^-1*d*a^-1*d,
  a^-1*d*c^-1*(b*d)^2*c*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c*d^-1*c*a^-1*d*c^-1*a^\
-1*d^-1*b*a^-1*d^-1*b^-1*c*a^-1*b^-1*a*d^-1*b*c^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*\
d^-1*a*b*c^-1*a^-1*d^-1*a*d^-1*b*c^-1*a^-1*b^-1*d*a*c^-1*b^-1*a^-1*d^-1*a^-1*\
c*d^-1*a*b*a^-1*c^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1*a^-1*b^-1*a*d\
^-1*a^-1*c^-1*a*b,
  d*a*b^-1*(d^-1*a*c^-1)^2*d^-1*b*d*c^-1*b*a^-1*d*a*b^-1*c*a^-1*b^-1*a*d*b^-1\
*d^-1*c^-1*b*a^-1*d*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*a^-1*(b^-1*d^-1)^2\
*a*d^-1*a*(b*c^-1)^2*a*d^-1*b*a^-1*b^-1*d^-1*a^-1*c^-1*d^-1*(b^-1*c^-1)^2*d^-\
1*a^-1*c^-1*d^-1*c*a^-1*d^-1*b*a^-1*d*a*c^-1*b^-1*(a*d)^2*a*c^-1*b^-1*a,
  d^-1*b^-1*d^-1*a^-1*c*b*d^-1*c^-1*b^-1*d^-1*b^-1*a*c^-1*d^-1*a^-1*b*d^-1*a^\
-1*c*a*b^-1*a*d^-1*a*b*c*d^-1*b^-1*d^-1*a*c*b^-1*a*d^-1*b^-1*d^-1*a^-1*b^-1*c\
*a^-1*c*b^-1*a^-1*d^-1*a*c^-1*d*a*d^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1\
*b^-1*a^-1*d*a*d^-1*b^-1*c*a*c^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*b*d^-1*\
a^-1*b*c^-1*b^-1*c*a,
  d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*b*d*c^-1*b*a^-1*d*b^-1*d^-1*b^-1*c*a\
*d^-1*a^-1*b^-1*a^-1*d*a^-1*d^-1*b^-1*a*c*b^-1*d*a^-1*c*b^-1*d^-1*a*b*c^-1*(d\
^-1*b^-1)^2*a^-1*b^-1*d*b^-1*a*c^-1*b*c^-1*d^-1*c^-1*(d*a^-1)^2*b^-1*d^-1*a*b\
*c^-1*(d^-1*b^-1)^2*c*a*c*d^-1*c*b*a*b^-1*d^-1*a*c*a^-1*b^-1*c^-1*b*d*a*c,
  d^-1*a^-1*(c^-1*b)^2*d*a*c^-1*d*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*a^-1*c^-1*a*(b\
^-1*d^-1*a^-1)^2*b*c*b^-1*c*d^-1*b^-1*a*d*a^-1*d^-1*c^-1*a^-1*d*b^-1*d^-1*b^-\
1*(c^-1*d^-1*a^-1)^2*b^-1*d*b^-1*d^-1*c*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c^-1*d^\
-1*b^-1*d*a*c^-1*a^-1*d*b^-1*c^-1*d^-1*c*a*d^-1*c^-1*a^-1*b^-1*a^-1*d^-1*c^-1\
*a^-1*b^-1*d^-1*b^-1*c^-1,
  c^-1*a*d*a^-1*b^-1*a^-1*d*b^-1*d^-1*c*b*a^-1*d^-1*b*a*d^-1*b^-1*d^-1*a^-1*c\
^-1*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c*d*a*b*c*d^-1*b^-1*d*a*c*b*a\
*b*c*b^-1*d^-1*a*b^-1*c^-1*b^-1*a*c*d*a*d^-1*a^-1*d^-1*c^-1*b^-1*d^-1*c^-1*a*\
b*c^-1*d*a*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*c*d^-1*b*c*b^-1*a^-1*c*d\
*a^-1*b^-1,
  b^-1*c^-1*(d*a^-1)^2*d*b*a*(b*d)^2*c*b*a^-1*d*b^-1*c^-1*b*c*a^-1*d*c^-1*d^-\
1*c^-1*a^-1*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*b^-1\
*d*b^-1*a*c*d*a*b^-1*c^-1*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*d*a^-1*\
b^-1*c^-1*b^-1*c*a^-1*d*b^-1*a*c*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*\
b^-1*a^-1*b^-1*c,
  a^-1*d^-1*a^-1*c*a^-1*b^-1*d*a*d*a^-1*b*a^-1*c^-1*a*d^-1*(c*b)^2*d*c^-1*a*d\
^-1*c^-1*b^-1*(d^-1*a^-1)^2*b^-1*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c*d*(b^-1*d*a)^\
2*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*a^-1*b^-1*c^-1*b*a^-1*d*a*b^-1*d*\
a*c*d^-1*c*a^-1*c^-1*d^-1*b^-1*c*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^\
-1*b^-1*d*b^-1,
  b*a^-1*d^-1*b*d^-1*b^-1*c^-1*d^-1*a*b*a^-1*c*b^-1*d*c^-1*a^-1*c^-1*b^-1*a*d\
^-1*a^-1*b*c^-1*a^-1*c^-1*d^-1*a^-1*d*a*c*b*d^-1*a*d*b*a*c^-1*b^-1*c*a^-1*d*b\
^-1*a*c*a^-1*b*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b*d^-1*a^-1*c^-1*d^-1*c\
*a*d^-1*c^-1*b^-1*(d^-1*a^-1)^2*b*d^-1*b^-1*a^-1*b^-1*c^-1*(b^-1*d^-1*a)^2*c*\
d*c*a,
  b*c*a^-1*d*b*a^-1*d^-1*a^-1*c^-1*b^-1*c*a^-1*c*b^-1*d^-1*b*a*c^-1*b*d*c*b^-\
1*a^-1*d^-1*b^-1*c*d*a*b^-1*c^-1*d^-1*b^-1*(d*a)^2*c^-1*d^-1*a^-1*c*b^-1*d^-1\
*c*d^-1*b^-1*d*a^-1*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a*(b^-1*c^-1)^2*\
a*c*d^-1*b^-1*d^-1*a^-1*b*c^-1*b^-1*d^-1*c*b^-1*c^-1*d^-1*c^-1*(a^-1*b^-1*d^-\
1)^2*b*a^-1,
  d*b*d^-1*c^-1*b*d^-1*c*b*a^-1*d^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1*b*c*b^-1*d*a*\
b^-1*c^-1*d^-1*b^-1*d*a^-1*b*a*c*b^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^\
-1*c^-1*b^-1*d^-1*c^-1*a*d*a^-1*c*d^-1*(b^-1*c^-1)^2*d^-1*b^-1*c^-1*a*b^-1*a^\
-1*d^-1*c^-1*a^-1*d*a^-1*b^-1*c*a*d^-1*c*b*c*b^-1*d^-1*a*b*a^-1*c^-1*d^-1*b^-\
1*d*b^-1*a^-1*b^-1*c^-1*b^-1,
  d^-1*a*c*b^-1*d^-1*a*b^-1*c^-1*d*b*d^-1*a*b*a*d^-1*a*c*b^-1*c*d*a*d*a^-1*b*\
c^-1*b^-1*d^-1*c*a^-1*d^-1*b^-1*a*c*a*b^-1*a^-1*d^-1*a*b*d^-1*a*c^-1*d^-1*c*d\
^-1*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b*c^-1*b^-1*d^-1*a^-1*b^-1*c^-1*b^\
-1*a*d*b^-1*c^-1*b*c^-1*d^-1*c*a*d^-1*(b^-1*c^-1)^2*d^-1*a*b*c^-1*d^-1*b*d^-1\
*a*c^-1,
  d*a*c*a^-1*b^-1*a*c*d^-1*c*b*d*b^-1*a*c*d*a^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1\
*d*a*b*a^-1*c^-1*d^-1*c^-1*a^-1*b^-1*(d*b^-1*d^-1*c*b^-1*a^-1)^2*d*b^-1*c^-1*\
b^-1*d*a*d^-1*a*c*d^-1*a*b*a*d^-1*c^-1*a^-1*b^-1*d^-1*b^-1*d*a^-1*b*a*c^-1*a*\
b^-1*d^-1*c*a^-1*c^-1*b^-1*a*d^-1*a*c^-1*a^-1*b^-1*d^-1*b^-1*c^-1*a,
  d*a^-1*b^-1*d*b^-1*a*b^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*c^-1*b*c*b*d^-1*a*b^\
-1*c*d^-1*b*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d*a^-1*b*a*c^-1*b^-1*c^-1*d^-1*c*b\
^-1*c^-1*d^-1*a^-1*b^-1*d^-1*c*a^-1*b*d^-1*a^-1*c^-1*(d^-1*b^-1*a)^2*c^-1*d^-\
1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*c*d^-1*a*c*b^-1*a^-1*d*a*b^-1*(d^-1*c^-1)^2*b^\
-1*c^-1*b^-1*a,
  b*d^-1*a*b*c^-1*d^-1*b*d^-1*b^-1*a*d^-1*a^-1*b*a*c*b*c*a*d^-1*b^-1*a*c^-1*d\
^-1*b^-1*d^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1*d*a*c*d^-1*c^-1*a^-1*c*d^-1*a*d^-1*b\
*d^-1*a^-1*b^-1*a*d*a^-1*b^-1*d^-1*c^-1*a*b^-1*c^-1*b^-1*d^-1*b*d^-1*a*c^-1*a\
^-1*d^-1*c^-1*b*d^-1*b^-1*d^-1*a*b*a*d^-1*a^-1*b^-1*a*d*a*c^-1*b*a^-1*d*a^-1*\
c^-1*d^-1*a*c^-1,
  d*b^-1*d*a*b*c*d^-1*b^-1*(d^-1*b^-1*a)^2*b^-1*c^-1*(d^-1*c)^3*b^-1*d^-1*a*b\
*c^-1*d^-1*b^-1*d^-1*a^-1*b^-1*a*c*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d^-1*a*b*a^-1*\
d^-1*a^-1*c*b^-1*a*d*b^-1*a^-1*b^-1*c^-1*a*d*b^-1*a*c^-1*a^-1*d*b^-1*a*b^-1*d\
*a^-1*(d*a^-1*b^-1)^2*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*a*c^-1,
  (d^-1*b)^2*a^-1*d*a*c*a^-1*(b*d*a^-1*d^-1)^2*b*d^-1*a*b*c^-1*d^-1*b*c*a*b*a\
*d*a*c^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*d^-1*a*d^-1*b^-1*c*b^-1*c^-1*d\
^-1*c*a*d^-1*c^-1*d*a^-1*c*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*c^-1*d*c*a*c^-1*d^-1*\
c^-1*d*c^-1*a^-1*d^-1*b*a^-1*d*a*b^-1*a^-1*c^-1*a^-1*d^-1*c*a*d^-1*c*b^-1,
  a*d^-1*b^-1*c*a^-1*d^-1*a^-1*b^-1*a*d*a^-1*b*d*b^-1*c^-1*(d^-1*a)^2*c^-1*a^\
-1*b*a^-1*d^-1*b^-1*a^-1*d^-1*c*a^-1*b*d^-1*b^-1*a^-1*c*a*d^-1*a*b^-1*c^-1*d^\
-1*b^-1*d^-1*c*b^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a*c*b^-1*c\
^-1*d^-1*b*a*d*c*b^-1*a*d^-1*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*c^-1*d\
^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c*b^-1*c^-1,
  d^-1*a^-1*c^-1*a*d^-1*a*b*d^-1*a*c^-1*(d*a*c*b^-1*d^-1*a^-1)^2*d^-1*b^-1*a*\
c^-1*d^-1*b*c^-1*d*c*b^-1*a^-1*d*a^-1*b*d^-1*a*b*a*d^-1*a^-1*c*b^-1*d^-1*a^-1\
*d*a^-1*d^-1*b^-1*c*a*c*b^-1*a*d*c^-1*d^-1*c*a*c^-1*b^-1*a^-1*d*a*b*d^-1*a^-1\
*b^-1*a*(d^-1*a*b)^2*c^-1*d^-1*b*a^-1*d*c*b^-1*c^-1*d*a,
  d^-1*b^-1*c^-1*a*c^-1*b^-1*c^-1*d*b^-1*a*d*a*d^-1*b^-1*c^-1*(d^-1*a^-1*c)^2\
*a*b*a^-1*d^-1*a*b*d^-1*a*c^-1*d^-1*a*d^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*\
b^-1*a^-1*c*b^-1*d^-1*a*d^-1*c^-1*a^-1*b^-1*c*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*\
b*a*d^-1*c*b^-1*a^-1*b^-1*d^-1*c*a*b^-1*a^-1*b^-1*a*c^-1*b^-1*d^-1*a*d*a^-1*d\
^-1*a*b^-1*a^-1*c^-1*a^-1,
  a^-1*b*d*b*a*d^-1*b*a*c^-1*d^-1*c^-1*b*c*d^-1*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*\
b^-1*d*a*b^-1*d^-1*a^-1*b*c^-1*a^-1*d*c^-1*b^-1*c*a^-1*c*d^-1*b^-1*d^-1*c^-1*\
b^-1*a^-1*d*a*b^-1*c*a*c^-1*(b^-1*d^-1)^2*c*b^-1*a^-1*d*b^-1*a*c^-1*b^-1*c*d^\
-1*a*d^-1*c*(a^-1*d)^2*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*a*b^-1*c\
^-1*d^-1*b^-1*d^-1,
  d*a^-1*b*a*d*a*b^-1*c^-1*b*a^-1*d^-1*a*b^-1*c*a^-1*d*c*d^-1*a*d^-1*c^-1*d^-\
1*a*b*d*b^-1*a*d*b*a*c^-1*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*c*b^-1*a*d^-1*c^-1*d*\
c^-1*a^-1*c*d^-1*c^-1*b^-1*d^-1*b^-1*d*b^-1*a^-1*(d^-1*a)^2*c^-1*b^-1*d*c^-1*\
a*c*b*c^-1*b*a^-1*d^-1*a*b^-1*d^-1*a*(c^-1*d*a*b^-1)^2*c^-1*d^-1*b^-1*d^-1*a*\
b^-1,
  b^-1*a*c*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*a^-1*d^-1*a*c^-1*a^-1*\
b^-1*c^-1*d^-1*a*c^-1*d^-1*b^-1*c^-1*a^-1*b*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*a*\
b^-1*a*c^-1*a^-1*c^-1*b^-1*d^-1*a*b*c*d^-1*b^-1*(d^-1*a*c^-1)^2*a*d*b^-1*a^-1\
*b^-1*d^-1*a^-1*d*b^-1*a^-1*c^-1*b^-1*c^-1*a^-1*d^-1*(a^-1*d)^2*b^-1*c^-1*b^-\
1*d^-1*a*b*c*(d^-1*b^-1)^2*c^-1*a,
  c*b*a^-1*d*b^-1*a*c*d^-1*a*b^-1*c^-1*a*d^-1*b^-1*d*a*b*d^-1*b^-1*d^-1*a^-1*\
d^-1*c^-1*(d*a)^2*d^-1*b^-1*a*d^-1*a^-1*d*c^-1*b^-1*d*a^-1*b*a*d*a*b^-1*c^-1*\
b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*d*a^-1*b^-1*a*b^-1*c^-1*b^-1*d^-1*\
a*d*c*a^-1*c*d^-1*a*b*a^-1*c^-1*b^-1*c^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*c^-1*a*b^\
-1*a*c^-1*a^-1,
  d*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*a^-1*b^-1*(d^-1*a)^2*d^-1*b*a*b^-1\
*c^-1*a*c*d*c*b^-1*d^-1*b^-1*c*a*d^-1*b*d^-1*b^-1*c*b^-1*d^-1*a^-1*d^-1*c^-1*\
a*d*a^-1*c^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d\
^-1*a*b^-1*a^-1*(d^-1*c)^2*b^-1*a^-1*d*a*c*(d^-1*a^-1)^2*d^-1*b^-1*c*b^-1*d^-\
1*a*b*c^-1*(d^-1*b^-1)^2*a,
  d^-1*b*a^-1*d^-1*a*b*d^-1*a*c*d^-1*a*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d^-1*a^-1*\
d^-1*a*b^-1*d*c^-1*a*b^-1*a*d^-1*b^-1*a^-1*b*c^-1*a*d^-1*b^-1*a*d^-1*a^-1*c^-\
1*b^-1*c*b*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d*c^-1*b*a*d^-1*b*a^-1*b^-1*c^-1*b\
^-1*(d*a^-1)^2*d^-1*b^-1*c^-1*a^-1*b^-1*a*c^-1*d^-1*c*b*c*b^-1*d^-1*a*b^-1*c^\
-1*d^-1*b^-1*d^-1*a^-1*b*a^-1,
  a*d*a*(d^-1*b^-1)^2*a*c^-1*b^-1*c*a*d*a*b*a^-1*d*c*d^-1*c^-1*d^-1*a^-1*d*b*\
a*c^-1*b^-1*d^-1*a^-1*d^-1*a*b^-1*d^-1*a*b*c^-1*(d^-1*b^-1)^2*d^-1*a*b*c^-1*d\
^-1*b*d^-1*b^-1*c^-1*a*c^-1*d*a*b^-1*a*c^-1*b^-1*d^-1*c*b^-1*c^-1*a^-1*d^-1*c\
*a^-1*d^-1*b*a*(d^-1*a^-1)^2*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c*b\
^-1*c^-1*a^-1*b*d^-1,
  d^-1*a*b^-1*c*d*b*d*b^-1*c^-1*b^-1*a*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*a*c^-1*\
b^-1*c*(a*d)^2*c*b^-1*c^-1*a^-1*d^-1*a*c^-1*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1\
*d^-1*b^-1*c^-1*b^-1*d*a*c^-1*d^-1*c*a*c^-1*(d*b^-1*a)^2*c^-1*d^-1*b^-1*c*b^-\
1*c^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*b^-1*d*a^-1*c*b^-1*a^-1*d*a*b^-1*d^-1*\
a*c^-1*d^-1*a*b,
  d*b*d^-1*c^-1*b*a^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*d*b*d^-1*b^-1*c^-1*b^-1*a*c\
*d^-1*c*a^-1*d*b*a^-1*d*a*c^-1*b^-1*d^-1*a*d^-1*c*a^-1*d*a^-1*d^-1*b^-1*a*b^-\
1*d^-1*c^-1*a^-1*d^-1*c*a*b*c^-1*b*c*d^-1*b*a*c^-1*d^-1*b^-1*d^-1*b*a*c*b^-1*\
c^-1*d^-1*a*c^-1*b*a^-1*d*a^-1*c^-1*d*a*b^-1*c^-1*d^-1*a^-1*b^-1*a*d^-1*c*a^-\
1*(b^-1*d^-1)^2*b^-1,
  d*a^-1*d*b^-1*a*b^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-\
1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b*c^-1*(d^-1*c^-1*a^-1)^2*d^-1*b^-1*a^-1*d*a*\
b^-1*a^-1*c^-1*a*d^-1*a^-1*d*(a^-1*c*a*b^-1)^2*d*a^-1*d^-1*b*c^-1*d^-1*c^-1*b\
^-1*a^-1*d^-1*c^-1*a*d^-1*a*b^-1*d^-1*a^-1*c*b^-1*d*a^-1*b*a*c^-1*b^-1*c*a^-1\
*b*d*a^-1*d^-1*b^-1*d^-1*a^-1,
  d*a*b^-1*d*a*c^-1*d*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*c*b*c^-1*d*a*b^-\
1*c^-1*d^-1*b*d^-1*a*b^-1*a^-1*c*b^-1*a*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*\
a*b*c^-1*a^-1*d*a^-1*c^-1*d^-1*b^-1*c^-1*a^-1*d*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^\
-1*d^-1*b*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b*c^-1*b^-1*d^-1*c*b^-1*c^-1*a*d^\
-1*b^-1*a*c^-1*(d^-1*b^-1)^2*a^-1*c^-1,
  (d^-1*b^-1)^2*c^-1*d^-1*a^-1*c*d*c*d^-1*a^-1*c^-1*d^-1*b^-1*c*b^-1*c^-1*d*a\
^-1*c^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b*d^-1*a^-1*c*b*d^-1*a*b^-1*c\
*d^-1*b*d^-1*b^-1*d^-1*a^-1*b^-1*d^-1*b^-1*a*d^-1*b*a*c*d^-1*(b^-1*c)^2*a*d^-\
1*(b^-1*c^-1)^2*d^-1*b*a*c^-1*a^-1*b*(c^-1*d^-1)^2*a*b^-1*c*d^-1*b^-1*(d^-1*a\
^-1)^2*b^-1*a*c^-1*b^-1,
  d*a^-1*b*a*d*a*c^-1*b*d^-1*a*b*c*d*b^-1*d*a*b^-1*d^-1*b*c^-1*a*c^-1*b*d^-1*\
a^-1*c^-1*b^-1*c^-1*d*a^-1*c*(b^-1*c^-1*b^-1*d^-1)^2*a*b^-1*c^-1*d*b^-1*d^-1*\
a*b*a^-1*d^-1*(b^-1*c^-1)^2*d^-1*c*b^-1*c^-1*d*c*a^-1*b^-1*d^-1*c^-1*a*c^-1*d\
*a^-1*b^-1*a*d*a^-1*b^-1*a^-1*c^-1*a^-1*d^-1*c^-1*a^-1*d*a*b^-1*c^-1*a^-1*d^-\
1*a^-1*b^-1*c^-1*a,
  b^-1*c^-1*d^-1*a*c^-1*b^-1*c^-1*(d^-1*a^-1)^2*b^-1*c*a^-1*d^-1*b^-1*d*c^-1*\
b*a^-1*d*a*c^-1*b*a*d^-1*b*c^-1*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*(d*b^-1)^2*\
d^-1*a^-1*b^-1*a*d^-1*a*b*d*a*c*d*a*d^-1*c*b*a*b*d^-1*b^-1*c^-1*b^-1*a^-1*d*a\
*b^-1*d^-1*a*c^-1*d*a*b^-1*a^-1*d*a^-1*c^-1*b*d*b^-1*a*d^-1*b*a*c^-1*d^-1*c^-\
1*b^-1*c^-1*d,
  d^-1*b*a^-1*d^-1*a*b^-1*d*a*c^-1*d*c^-1*b*a^-1*c^-1*d^-1*a^-1*b*c*b^-1*c^-1\
*a*d*b*c^-1*d*a*c*d^-1*c*a^-1*d^-1*b*a^-1*d*c^-1*b^-1*c^-1*b*d^-1*b^-1*c^-1*b\
^-1*a^-1*d*a*b^-1*d*a*c^-1*d^-1*a*b*(a^-1*d^-1)^2*b^-1*d^-1*c*b^-1*a^-1*d^-1*\
b^-1*c^-1*a^-1*d^-1*b*c^-1*a^-1*d^-1*a*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c\
^-1*b^-1*d*c^-1*a^-1*b^-1*c*b*c,
  d*a^-1*b^-1*(c*d^-1)^2*c^-1*b*a^-1*c^-1*a*d^-1*a*d*a^-1*d*a*d^-1*a*b^-1*a^-\
1*c^-1*d^-1*a*b*c^-1*d*b^-1*d^-1*a*(c^-1*b^-1*c^-1*d^-1)^2*c*a^-1*b*d^-1*a^-1\
*b^-1*d^-1*c*a^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*b^-1*a*d^-1*c^-1*a^\
-1*c^-1*b^-1*a*d*b^-1*a*c*d^-1*c*b^-1*c^-1*d^-1*c^-1*b^-1*a*(b^-1*d^-1)^2*c*b\
^-1*a^-1*d*a^-1*b^-1*c^-1*b^-1,
  d^-1*b*a*d^-1*a^-1*b*a*d*a*b*c^-1*b*d^-1*a*b^-1*c*d*b*d*a*b*a*d^-1*a^-1*d*a\
*b^-1*d*a*c^-1*b^-1*a^-1*d^-1*b*a*b*d^-1*a^-1*b^-1*d*a*b^-1*d*a^-1*d^-1*a^-1*\
c^-1*a*d*a*b^-1*d^-1*a*c^-1*(d^-1*a*b^-1)^2*c^-1*d^-1*c^-1*b*a^-1*d^-1*a*b^-1\
*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c*a*b^-1*d^-1*a*c^-1*d^-1*b*c\
^-1*a,
  d^-1*a*b^-1*c*b^-1*d^-1*a*b*c*d^-1*b^-1*d^-1*a*d*a^-1*c^-1*b^-1*d^-1*b^-1*c\
^-1*d^-1*c^-1*a*d^-1*a^-1*d*(a*d^-1)^2*c^-1*b^-1*a^-1*b^-1*c^-1*d*a*b^-1*c^-1\
*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*b^-1*a^-1*d*c^-1*d*b^-1*c^-1*b^-1*d*a*b^-1*\
c^-1*d^-1*b^-1*d*c^-1*b^-1*d*c*a*d*a^-1*c^-1*b^-1*a*d^-1*b*a*d^-1*c*b*c^-1*b*\
d*c^-1*a*d*c^-1*b^-1*c,
  b^-1*c*(d*b^-1)^2*d*a^-1*d*b^-1*a^-1*c*b*d*a^-1*d*b^-1*c*d^-1*c^-1*d^-1*a*d\
^-1*a^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*b*d*a*c*d^-1*a^-1*d*c^-1*b*d^-1*a*b^-1*\
c^-1*d*b^-1*d^-1*a*c^-1*a*b^-1*(d^-1*a)^2*d*b^-1*d*c^-1*d^-1*b^-1*a*d*a^-1*b^\
-1*c^-1*d^-1*b^-1*d*c*a^-1*c^-1*b^-1*c*b*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a^\
-1*c^-1*a*d^-1*a,
  d^-1*a^-1*b*a*d*b*(d*a^-1)^2*b*c*b^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*b*d*a^-1\
*b*a*d^-1*b^-1*c^-1*b^-1*d^-1*b^-1*a^-1*d^-1*a*c^-1*d^-1*c*b^-1*(a^-1*d)^2*a*\
c^-1*b^-1*d^-1*a^-1*d*a^-1*d^-1*a^-1*b*a*c*a^-1*d*c^-1*b^-1*a^-1*d*c*b^-1*c^-\
1*a*d^-1*a*c^-1*a*b^-1*d^-1*c^-1*b^-1*c^-1*a*d^-1*b*a*c*d*b^-1*d^-1*b^-1*a*d*\
c^-1*b^-1*a*b^-1,
  d^-1*a^-1*b*c*b^-1*c^-1*d*a*b^-1*c*d*b*d*b^-1*a^-1*b^-1*d*b^-1*c^-1*d*a*b^-\
1*c*d*b^-1*d^-1*b^-1*c*b^-1*d*a*b^-1*c*d^-1*b^-1*a*d^-1*c^-1*d^-1*b^-1*c^-1*b\
^-1*c*d*a*c*d^-1*a*c^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a^-1*b*a*c*b^-1*c^-1*d^-\
1*a*b^-1*c^-1*d^-1*b^-1*d*c*a*d*b^-1*a^-1*b^-1*d^-1*a*b^-1*d^-1*b^-1*d*c^-1*b\
*a^-1*d*b^-1*c^-1*b^-1,
  d*a*c*d*c*a^-1*d*b*a^-1*d*a*(c^-1*d^-1)^2*b*a*d*b*d^-1*c*b*a^-1*d^-1*b^-1*c\
*b^-1*d^-1*b^-1*c^-1*a^-1*c*d^-1*a*b^-1*d^-1*a*c^-1*d*a*c^-1*d^-1*b*d^-1*c^-1\
*a^-1*c*d^-1*a^-1*b*c*b^-1*d^-1*c*a*d^-1*c*b^-1*d^-1*b^-1*a*d^-1*c^-1*a^-1*c*\
(a*d^-1)^2*a^-1*d*a*c^-1*d*a*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*d^-1*c\
^-1*b*c,
  d^-1*a*b^-1*c*d*b^-1*d*a*d*b^-1*a*d^-1*a^-1*d^-1*c*b^-1*c*a*d^-1*c^-1*b*c^-\
1*b^-1*d^-1*c^-1*a*d^-1*c*d^-1*a^-1*c^-1*b*d^-1*a*d*b^-1*a*(b^-1*d)^2*a*b*c^-\
1*d*b^-1*d^-1*a*c*b*a^-1*d*a*b^-1*d*a*c^-1*d^-1*b^-1*c^-1*a^-1*c*b^-1*c^-1*(a\
^-1*d)^2*b^-1*a*b*c^-1*b^-1*d*c*a^-1*b^-1*d*a*d^-1*a^-1*b^-1*d*a*b^-1*c^-1*a*\
c,
  b^-1*c^-1*d*a*c*b^-1*d*c*b^-1*c^-1*d*c^-1*a^-1*b*d^-1*a^-1*b^-1*d^-1*a^-1*c\
^-1*b^-1*c*a*c*b^-1*c*(a^-1*d^-1)^2*b^-1*c^-1*a*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*\
c*a^-1*d*b^-1*d*a*d*c^-1*d*a*c^-1*a*d^-1*b^-1*c*a*b*d^-1*a^-1*c^-1*d*b^-1*d^-\
1*a*b^-1*c^-1*d*b^-1*a*b*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*a*c^-1*a^-1*b^-1*a^-1*c\
*a*c^-1*d*b^-1*a*c^-1,
  d*a*b^-1*d^-1*a*c^-1*d*a*b*a^-1*d^-1*b*d*c*b*a^-1*d^-1*b*a^-1*d*a^-1*d^-1*c\
*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*a*b^-1*c^-1*d^-1*b*d^-1*c^-1*b*a\
^-1*d^-1*c^-1*a*b^-1*c^-1*d^-1*a*b^-1*d^-1*b*c^-1*b*a^-1*d^-1*c*a*d^-1*a*b^-1\
*d^-1*a*c^-1*d^-1*(c^-1*b^-1)^2*d^-1*a*b*c^-1*d^-1*b*d^-1*a*b^-1*a*d^-1*a^-1*\
c^-1*b*a^-1*b^-1*c^-1*a^-1*c*a,
  a^-1*d^-1*a*b*c^-1*b*d*a*d*c^-1*a*c^-1*d*b*a^-1*c*b*d*a^-1*b^-1*d^-1*a*(c^-\
1*d)^2*c*a^-1*c*d^-1*c*(b^-1*d^-1)^2*b^-1*a^-1*c*d^-1*a^-1*c*b^-1*c^-1*b^-1*d\
^-1*c^-1*b^-1*c*a*d^-1*b*a*c*d*b^-1*d^-1*b*a*d^-1*a^-1*c^-1*a^-1*b^-1*a^-1*d^\
-1*a^-1*b^-1*a^-1*c^-1*d^-1*b*a*c^-1*b^-1*d*a^-1*c^-1*a^-1*d^-1*c^-1*a*d^-1*c\
^-1*b^-1*d^-1*a^-1*d*a^-1*b,
  c*b^-1*d^-1*a*d*a*b*a*c*a*d*a*b*d^-1*a*c*d*b^-1*c*a^-1*b*a*d^-1*b^-1*d*c^-1\
*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*a^-1*d*\
b^-1*d^-1*b^-1*c*d^-1*c*a*c^-1*d^-1*b^-1*d^-1*a^-1*d*b^-1*c^-1*b^-1*a*c^-1*d^\
-1*b^-1*a^-1*d*a*b^-1*d^-1*c^-1*a^-1*b*d^-1*c*b^-1*a^-1*d^-1*b^-1*c*b^-1*d^-1\
*b*d^-1*c^-1*a*d^-1*c^-1*a^-1*b*a,
  a^-1*b*c^-1*a*d^-1*b^-1*a*b*(d^-1*b^-1)^2*c^-1*d^-1*a^-1*c*a^-1*d*c^-1*d^-1\
*b^-1*a*(d^-1*c)^2*b*c^-1*d^-1*c*a^-1*b^-1*d*a^-1*b^-1*d^-1*b*a*d^-1*b*a^-1*d\
^-1*b^-1*d^-1*(b*c^-1)^2*d^-1*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*a^-1*b^-1*a\
^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1\
*d^-1*b^-1*c^-1*b^-1*d^-1*c*(a^-1*d^-1*b^-1)^2,
  d^-1*b^-1*c^-1*b*c^-1*d*a*b*c^-1*d^-1*b*d^-1*c*a*c*b^-1*a^-1*d*a*b^-1*c^-1*\
d^-1*b^-1*c*a*d^-1*a*b^-1*c^-1*a^-1*d*a*b^-1*a*d^-1*c*a*d*a*b^-1*c^-1*a^-1*d^\
-1*a^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d^-1*a*b^-1*c*d^-1*a^-1*b^-1*c^-1*(a^-1*d\
^-1)^2*a^-1*d*a*b^-1*c^-1*b^-1*a*d^-1*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c^-1*a^-1\
*b^-1*a^-1*c^-1*d^-1*a^-1*d*a*d^-1*b^-1,
  d^-1*c^-1*a^-1*b^-1*d*c^-1*a^-1*b*a^-1*d^-1*(b^-1*c^-1)^2*a*c*d^-1*b^-1*d^-\
1*c^-1*b^-1*a^-1*d*c^-1*b^-1*c^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*b^-1*a*c^-1*\
b*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b*d^-1*c^-1*a*b*a^-1*d^-1*c^-1*\
a*d^-1*a*b^-1*c*a^-1*d^-1*a*b^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c*a*c\
*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*a*d*b^-1*d^-1*a,
  d*c^-1*a*b*c^-1*d^-1*a*b^-1*d*b*c^-1*b*a^-1*d*c*b^-1*d^-1*b^-1*d*c^-1*b*a^-\
1*d^-1*c*a^-1*c*b^-1*a*(d^-1*a^-1)^2*(d^-1*c^-1)^2*b^-1*c^-1*d*c^-1*(a^-1*b^-\
1*d)^2*b^-1*a*b^-1*c^-1*a^-1*d^-1*b^-1*a*d^-1*c^-1*a^-1*b^-1*d*b^-1*d^-1*b^-1\
*d*a^-1*d^-1*b^-1*c^-1*a*d*c^-1*b^-1*d*a*b*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*d*a*d\
^-1*a*c^-1*b*c^-1*a,
  c*a^-1*d*a^-1*b*c^-1*b*c*a*d^-1*a^-1*c*d*a*c^-1*a*d*c*(b^-1*d^-1)^2*a*b*d^-\
1*a^-1*c^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c*b^-1*a^-1*d\
^-1*c^-1*a^-1*d*b^-1*(a^-1*d*a*b^-1*c^-1*b)^2*d^-1*b^-1*a^-1*c^-1*(a^-1*d^-1)\
^2*b^-1*a*c*d^-1*c^-1*b^-1*c^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-\
1*b*d^-1*b*c*b^-1*a,
  c*a*b^-1*c^-1*b^-1*d*b*d^-1*c*a^-1*d^-1*c^-1*d*a*d*c^-1*a*d^-1*(c^-1*b^-1)^\
2*d^-1*c*a*d*c^-1*b^-1*d^-1*a^-1*b^-1*d^-1*c*a*d*c^-1*b^-1*d*b^-1*d^-1*b^-1*c\
*a*c*d*a^-1*b*a*c*a^-1*d^-1*b^-1*c*d*a*c^-1*d*a*b^-1*d^-1*a*b^-1*c*d*b^-1*d*a\
*b^-1*d^-1*a^-1*d^-1*a*b^-1*c^-1*(b^-1*d)^2*a*d*a*c^-1*d^-1*a^-1*d*c^-1*b^-1*\
c^-1*d^-1,
  d^-1*c*a*d*c^-1*b^-1*c*b^-1*d^-1*c*a*d*b*c^-1*b^-1*a^-1*b^-1*d^-1*a^-1*d^-1\
*b*c^-1*d^-1*a^-1*b^-1*d^-1*c*a*d^-1*a*b^-1*c^-1*d^-1*b*d*a*b^-1*a^-1*d^-1*a*\
c^-1*b^-1*d*a*d^-1*b*a^-1*c*a*b^-1*d^-1*a*c*a^-1*b*a^-1*c^-1*d^-1*b*d^-1*b^-1\
*c^-1*a^-1*b^-1*a*d^-1*b^-1*a^-1*b^-1*d*a*b^-1*c^-1*d^-1*b*d^-1*c*a*d^-1*b^-1\
*a*b*d^-1*c^-1*d^-1*a*c^-1*b*c^-1,
  b*a^-1*d^-1*a^-1*b*d*a*b*a^-1*c*b*c*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*d*b^-\
1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c*b^-1*d^-1*c^-1*b^-1*a*b^-1*c*b^-1*d^-1*b*d^-1*\
c^-1*b^-1*a^-1*d*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b*d^-1*a*b*a^-1*c^-1*d*c^-\
1*b^-1*c^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*b*d^-1*c^-1*a*b*d^-1*a^-1*d^-1*b^-1\
*a*c^-1*b^-1*d^-1*a^-1*d^-1*b^-1*a^-1*d^-1*c^-1*a*c^-1,
  c*b^-1*d^-1*a*b*c*d*b*d*c*a*c*b^-1*a^-1*d^-1*b*a^-1*d^-1*a*b^-1*d*a*c*d^-1*\
a*d^-1*a^-1*c^-1*d*a*b^-1*c*b^-1*d^-1*b*a^-1*d^-1*b^-1*c*a*b*a*d*a*b^-1*d*a*c\
^-1*d^-1*c^-1*(d*b^-1)^2*d^-1*c*a^-1*b*d*a^-1*c*b^-1*c^-1*d*b*a*d*a^-1*b^-1*c\
^-1*d*a^-1*d*c^-1*a^-1*d*b*a^-1*d^-1*a*b*c^-1*a^-1*b^-1*d*a^-1*b*c^-1*a^-1,
  b^-1*d*a*b^-1*c*d*b^-1*d*a*b^-1*a^-1*c*a*b*c^-1*d^-1*a*b*c*d^-1*b^-1*d*b^-1\
*a^-1*c*b^-1*d*a^-1*d*c^-1*a*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*b^-1\
*a^-1*b*d^-1*c*b*a^-1*d^-1*c*d^-1*a^-1*d*a^-1*c*a^-1*b*a*b^-1*d*c^-1*a^-1*d*b\
^-1*a^-1*d*a*b^-1*c^-1*b^-1*d*a^-1*b*a*b^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1\
*d*c*a^-1*b*a^-1*c*a,
  a*b*c*b^-1*a^-1*d^-1*a*b^-1*d*c*a^-1*c*d*b^-1*d^-1*a^-1*b*a^-1*d*a*b*c^-1*b\
^-1*d^-1*b^-1*a*d^-1*a^-1*c*a*d*c^-1*a*d*a^-1*c^-1*a*b^-1*a^-1*d*a*b^-1*c^-1*\
d^-1*b^-1*(d*a*b^-1*c^-1)^2*b^-1*d^-1*a*b^-1*a*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*b\
^-1*d*a*d*b^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*d^-1*a*b^-1*c\
^-1*d*b^-1*d*a^-1*d^-1,
  d*a*b*a^-1*c*a*b^-1*a^-1*d*a*b^-1*c*d*b^-1*d*c^-1*a*b^-1*c*b*c*d^-1*b^-1*d^\
-1*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*b^-1*c^-1*a*d^-1*b^-1*d*c^-1*b^-1*(a^-1*d)^2\
*c^-1*a*d^-1*a*b^-1*d^-1*c^-1*a^-1*c^-1*d^-1*c^-1*b^-1*d^-1*a^-1*b^-1*d^-1*c^\
-1*b^-1*d*b^-1*a*b^-1*c*b^-1*d^-1*a*d*a^-1*b^-1*d*c^-1*b^-1*a*b^-1*a^-1*c*a*d\
^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*b^-1*c^-1*b,
  d*a^-1*d*c^-1*b*d*a^-1*c^-1*b*d*a*b*c^-1*d*b^-1*d^-1*a^-1*c^-1*b*a^-1*d*a^-\
1*c*a*d*a*b^-1*d*a*c*d*a*b*a^-1*d*c*b^-1*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*c^-1*a*\
c^-1*b^-1*d^-1*a*b^-1*d^-1*c^-1*d*a^-1*c^-1*d^-1*b^-1*c^-1*b^-1*c*d^-1*a^-1*c\
^-1*b*a*d*a^-1*b^-1*d*a^-1*d^-1*c^-1*d^-1*b^-1*a*c*a*b^-1*d^-1*a^-1*d*b^-1*c^\
-1*a^-1*d^-1*a^-1*b*a*c^-1,
  d*a^-1*c*a^-1*b*c*d^-1*a^-1*c^-1*d^-1*(c^-1*b)^2*d^-1*a*c^-1*d^-1*c^-1*b*d*\
b^-1*d^-1*c^-1*b^-1*c*a^-1*d^-1*a*b^-1*d*a*c^-1*d*b^-1*c^-1*b^-1*d*a*b^-1*c^-\
1*d^-1*b^-1*d^-1*c*b^-1*c^-1*a*b*a^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*d\
^-1*c^-1*b*c*b*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a\
^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*b*d^-1*a*c^-1,
  a*c^-1*a^-1*b^-1*a^-1*c^-1*a*d*a*c^-1*d*a*c*d*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*\
d*b*d^-1*a*b^-1*c*a^-1*b*a*c^-1*d^-1*a^-1*d^-1*b^-1*c^-1*b^-1*a^-1*b^-1*d*c^-\
1*a^-1*b^-1*d*a*(d*b^-1)^2*(d*c^-1*b^-1*a^-1)^2*c^-1*d*a^-1*d^-1*c^-1*b^-1*d*\
(b^-1*d^-1*c^-1*a^-1)^2*(b^-1*c^-1)^2*a^-1*d*a^-1*c*a^-1*b^-1*d*a*d^-1*a^-1*b\
^-1*d^-1*a^-1*d^-1,
  c*a^-1*b*a*c^-1*d*a^-1*d^-1*b*a*c*a^-1*d*b*a*b*d*b^-1*d*c*b*a^-1*d^-1*b*c^-\
1*d^-1*b*a*c^-1*a*d^-1*c^-1*d^-1*b*d*a*c*b^-1*c*a*d^-1*c^-1*b^-1*a^-1*d*a*b*d\
*a*c^-1*d^-1*c^-1*a^-1*b^-1*a*c^-1*b^-1*c*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*c^-1\
*a^-1*b^-1*d^-1*a*b^-1*d^-1*c^-1*b^-1*c*a*b^-1*a^-1*d^-1*b^-1*a^-1*b^-1*d^-1*\
a^-1*c*b^-1*c*d^-1*a,
  b*d*a*d^-1*b^-1*a*b*c^-1*d^-1*a*b*c*d^-1*b^-1*d*a*b*d^-1*a^-1*c^-1*b*c*b*a*\
d^-2*a^-1*c*b^-1*d^-1*a*d^-1*c^-1*a^-1*b*c^-1*d*a^-1*c^-1*b^-1*c^-1*d*a*b^-1*\
a*c*a^-1*d^-1*a*d*a^-1*d^-1*b*c^-1*d^-1*a*c^-1*b^-1*a^-1*b^-1*d^-1*a*b^-1*c^-\
1*d^-1*b^-1*d^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*a*b*(a*d^-1)^2*b\
*a*b^-1*d^-1*a^-1*c^-1*a^-1,
  d^-1*a*c^-1*d*a^-1*c^-1*(d^-1*b)^2*d^-1*c^-1*a^-1*b*d*a^-1*c*b*c*d^-1*a^-1*\
b*a*c^-1*b*d*a*b^-1*d*a*c*d^-1*c^-1*a*b*a^-1*(d^-1*b^-1*a)^2*c^-1*d^-1*c^-1*b\
^-1*c^-1*d^-1*b*c*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a*d*c*d^-1*(c^-1*b^-1)^\
2*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a^-1*b*c^-1*b*c*d^-1*(c*a^-1*d)^2*c^-1*b^\
-1*a,
  c^-1*d*a*b^-1*c*d*b^-1*d*c^-1*d*c*b^-1*c*a^-1*c*b^-1*a^-1*d^-1*a*b^-1*d*a*c\
*d^-1*c^-1*a^-1*c*d^-1*a*d^-1*b^-1*d*b^-1*c^-1*b*a^-1*b*d^-1*a*b^-1*d^-1*a*c*\
d^-1*a^-1*d*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*c*(a^-1*c^-1*d^-1)^\
2*a*c^-1*b^-1*a*d*a*c^-1*b^-1*c^-1*a*d*c^-1*a*d^-1*a^-1*b^-1*d*a*c^-1*b^-1*d^\
-1*a*d^-1*a^-1*b^-1*a^-1,
  d^-1*c*a*c*d*c^-1*b^-1*a^-1*d^-1*b*a*d*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^\
-1*c^-1*b*c^-1*a^-1*d^-1*c^-1*d^-1*b^-1*a*b*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-\
1*b^-1*a*d^-1*b^-1*d*a^-1*c^-1*a^-1*b*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*d*a*c^\
-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a^-1*b^-1*a*d^-1*b^-1*a^-1*c^-1*a^-1*b^-1*c\
^-1*d^-1*a^-1*c^-1*d*c^-1*b^-1*c^-1*b*d*b^-1*c*a*b,
  d^-1*c*a*b^-1*a*c^-1*d^-1*c*a^-1*b*a^-1*c^-1*d^-1*c*b^-1*d*b^-1*a*d^-1*a^-1\
*c*b^-1*a*c^-1*a*b^-1*a^-1*d*b*d^-1*c*b^-1*a^-1*d*c^-1*b^-1*c^-1*b*a*d^-1*c*b\
^-1*c^-1*b*d^-1*c^-1*a*d^-1*c*b^-1*a*d*a*c^-1*b*c^-1*(d^-1*a^-1)^2*b^-1*c^-1*\
a^-1*d*b^-1*d^-1*b*a*c^-1*d^-1*a*b^-1*a^-1*c*a*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-\
1*a*b^-1*d*a*d^-1*a^-1*c^-1*a*b^-1,
  d*a*c*d^-1*c^-1*a^-1*c^-1*d*a*d^-1*c*a*b*c*d^-1*c^-1*a*d*a*b*d*a^-1*b^-1*c^\
-1*a^-1*c^-1*b*a^-1*d*a*c^-1*d^-1*c^-1*a^-1*c^-1*(d^-1*b^-1)^2*a*c^-1*d^-1*c*\
a^-1*c^-1*b*c^-1*d^-1*a*b^-1*(a*d^-1)^2*b*d^-1*b^-1*c^-1*a^-1*b^-1*d^-1*c*b^-\
1*c^-1*a*d^-1*b*a*c^-1*d*b*d^-1*b^-1*a*d^-1*a^-1*c^-1*b*a^-1*d^-1*b*c^-1*b*d^\
-1*a*b^-1*c^-1*d^-1*b*a*b,
  a^-1*c*d*a*d^-1*c*d^-1*b^-1*d*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*c*b^-1*d^-1\
*(a*d*c)^2*b^-1*c*b*d^-1*c^-1*a*d^-1*c*a^-1*b*d^-1*b*a*d^-1*b^-1*a*c^-1*d^-1*\
c^-1*b^-1*c^-1*d^-1*c*a*b*a*d^-1*b^-1*c^-1*b*a^-1*d^-1*a*b*d^-1*a*c*d^-1*c^-1\
*a^-1*b^-1*c^-1*a*d^-1*b^-1*a*c^-1*(d^-1*b^-1)^2*a*c^-1*b*d^-1*a*b^-1*c*(d^-1\
*b^-1)^2*c^-1*a^-1*b^-1,
  d*a^-1*c*b*c*d*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*d*a^-1*d^-1*c*d^-1*a^-1*b^-1*\
c*b*c*a*d^-1*b*c^-1*b^-1*a^-1*d^-1*a*b^-1*a^-1*c^-1*b^-1*d^-1*b^-1*a*c^-1*d^-\
1*b^-1*d^-1*a^-1*b^-1*a^-1*c^-1*d^-1*c*d^-1*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b^-\
1*d^-1*a^-1*b*d^-1*b*c^-1*b^-1*a^-1*d*a*b^-1*d*a*c^-1*d^-1*c^-1*b^-1*a^-1*d*a\
*b^-1*d^-1*a*c*d^-1*a^-1*d*a^-1*d^-1*a^-1*c*a^-1*d*a^-1,
  d*a*c*d*a*d^-1*a*b^-1*c^-1*a^-1*b^-1*a*c*b*d^-1*a^-1*d*a*b*d*b*d^-1*c^-1*b*\
a^-1*(d^-1*b^-1*c^-1)^2*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*c^-1*a^-1*d^-1*a*b^\
-1*c^-1*b^-1*a*d^-1*a*d*b^-1*d^-1*c^-1*b^-1*d^-1*a*b^-1*a*c^-1*a*d^-1*a*c^-1*\
a^-1*b^-1*d^-1*a*d*a^-1*c*b^-1*a*d^-1*b^-1*a^-1*d^-1*c*a*d*a*b^-1*c^-1*a^-1*d\
^-1*b^-1*a*c^-1*b^-1*a^-1*c*a^-1,
  d*b*d^-1*c^-1*b*a^-1*d^-1*b*a^-1*c^-1*a*b*c*d^-1*b^-1*a*c*b^-1*c*a^-1*d*a^-\
1*d^-1*b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^3*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*\
c^-1*b*c*d^-1*c^-1*a^-1*b^-1*d^-1*c*a^-1*c*b^-1*a*d^-1*b^-1*d^-1*c^-1*a^-1*d^\
-1*c^-1*d^-1*a^-1*(c^-1*b^-1)^2*a*d^-1*b*c^-1*b^-1*d*a^-1*d^-1*a^-1*c^-1*b^-1\
*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*b^-1*d^-1*b^-1,
  b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d^-1*b^-1*c*b^-1*c^-1*a^-1*d*b^-1*a*d*b*a*c*d\
^-1*c^-1*b^-1*c*a^-1*b^-1*a*c^-1*b^-1*c*a*d^-1*b^-1*a*c^-1*d^-1*b^-1*(d^-1*a)\
^2*c^-1*b^-1*d^-1*a^-1*b^-1*c^-1*a^-1*c^-1*d^-1*a*c^-1*d^-1*a^-1*c^-1*b*a^-1*\
d^-1*a^-1*c*a*b^-1*d^-1*a*d*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*(b^-1*d^-1)^2*b\
^-1*d*c^-1*b*a^-1*d*a*b^-1*d*c^-1*a*d^-1,
  b*c*a^-1*d^-1*b^-1*c*a^-1*c*b*c^-1*(d*a^-1)^5*d*b*a*(b*d)^2*c*b^-1*a^-1*d^-\
1*b^-1*(c*b^-1*c^-1*d^-1)^2*c^-1*a^-1*b*d^-1*a^-1*b^-1*d^-1*b^-1*c^-1*a*b^-1*\
a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b*a^-1*c^-1*d^-1*a*c*b^-1*c^-1*(d\
*a^-1)^2*b^-1*c*b^-1*d^-1*c^-1*d*b^-1*a^-1*c^-1*a^-1*b^-1*c^-1*b^-1*d*c^-1*a^\
-1*c^-1*b^-1*a,
  d^-1*a*b^-1*c^-1*a*c^-1*b*a*d*b*c^-1*b^-1*a*d*c*a^-1*b*d*b^-1*c^-1*a*d^-1*b\
^-1*d*b^-1*a^-1*c^-1*a^-1*b^-1*a*d^-1*a^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1\
*b^-1*a^-1*d^-1*b^-1*a^-1*c*a*b^-1*d*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c*b^-\
1*c^-1*d^-1*b^-1*d^-1*a*b^-1*c^-1*(d*b^-1)^2*a^-1*c^-1*b^-1*c^-1*a^-1*d*a^-1*\
b^-1*d*c^-1*a*b^-1*a^-1*d^-1*b^-1*d*b^-1*a*c*d^-1*a*b^-1*c^-1*a^-1,
  a*d*c*a^-1*d^-1*b^-1*a^-1*d*c^-1*a^-1*c^-1*d^-1*a^-1*b*c^-1*b^-1*a^-1*d*c*b\
*d^-1*b^-1*d*c*b*a^-1*d^-1*b*c^-1*a^-1*c*b^-1*d^-1*a^-1*b^-1*a*c*(b^-1*d^-1)^\
2*a^-1*b*c^-1*a*b*d^-1*b^-1*a*d^-1*b*a*c*d^-1*c^-1*(b^-1*c^-1*d^-1)^2*c^-1*a*\
d^-1*b*c^-1*b^-1*d*a^-1*c^-1*a*b*a^-1*c^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*(d^-1*b\
)^2*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b,
  d*b*a^-1*d*c*a^-1*c*b*(a^-1*d^-1)^2*b^-1*c^-1*a^-1*b*d*a*b^-1*c^-1*d^-1*b^-\
1*a^-1*d^-1*c*a^-1*d^-1*a*b*a^-1*d^-1*b^-1*c*a*c*d^-1*b^-1*c^-1*d^-1*a^-1*d*a\
*c^-1*b^-1*a*b^-1*c*a*d*a*c^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^\
-1*a^-1*c^-1*a*b*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*c^-1*b^-1*a^-1*b^-1*c^-1*d\
^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*c^-1*b^-1*d^-1*c*b^-1,
  d*a*d*b^-1*c^-1*b^-1*a*d^-1*c*b^-1*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*a^-1*c^-1\
*b*a*d^-1*b*a^-1*d^-1*b*a*d^-1*b*a^-1*b^-1*d^-1*a*b^-1*c*a^-1*d^-1*a^-1*b^-1*\
c*a*d*a^-1*c*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*a^-1*b^-1*a*c^-1*b^-1*c*d^-1*b*d^\
-1*c^-1*b*a^-1*d^-1*b^-1*a*c^-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*d*a^\
-1*d^-1*a*c^-1*b^-1*(d^-1*a)^2*b^-1*c*a^-1,
  a^-1*b*d*a^-1*d*b*c*d*a*b^-1*c*d*b^-1*d^-1*a^-1*b*c^-1*d^-1*b^-1*a*b*d^-1*b\
^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c*a^-1*d^-1*b^-1*a^-1*b^-1*c^-1*b*d^-1*b^-1*a^\
-1*d^-1*b^-1*d*c^-1*b*a^-1*d*c^-1*b^-1*c^-1*(d^-1*a^-1)^2*d*b^-1*c^-1*b*d^-1*\
a*b^-1*c*d^-1*b^-1*d^-1*a*c^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^\
-1*c*b^-1*c^-1*a^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*c^-1,
  a^-1*d^-1*b*d^-1*a*b^-1*c^-1*(d^-1*b)^2*a*(d^-1*b^-1)^2*c*d^-1*a^-1*b*a^-1*\
d^-1*a^-1*c*b^-1*a^-1*d*a^-1*c*b^-1*c*a^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b^-1*d*a*\
b^-1*a^-1*c^-1*d^-1*b^-1*a*d*a^-1*b^-1*c*d^-1*b^-1*a^-1*c*b^-1*d*c^-1*d^-1*c^\
-1*a^-1*d*a^-1*b*a*c^-1*a*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*(a^-1*b^-1*d\
^-1)^2*c*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*b*d^-1,
  d^-1*c*d*(a^-1*d^-1)^2*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c*\
b*c*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*a*d*a*b^-1*a^-1*c^-1*a*b^-1*d*a^-1*b\
^-1*d^-1*a^-1*d*a^-1*c*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*(b^-1*c^-1)^2*d^-1*a^-1*\
c*d^-1*(c^-1*b^-1)^2*d*a^-1*c^-1*d*a^-1*b*a*d^-1*b^-1*c*a*c*d^-1*b^-1*c*b^-1*\
d^-1*a*b*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*c^-1*a^-1*d^-1*b^-1,
  c*a^-1*d*a^-1*b*a*d*b*a^-1*(c^-1*b^-1)^2*d^-1*a*b^-1*c*d*a^-1*d*a*b*d*a*c^-\
1*d*c^-1*a^-1*d*b*a*b*d*b^-1*d^-1*b^-1*c^-1*d*c^-1*a*c^-1*d^-1*b^-1*a*d^-1*b^\
-1*d^-1*c^-1*a^-1*b*d^-1*b^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d*a^-1*c^-1*b^-1*\
c^-1*a^-1*b*a^-1*d*a*d^-1*a*c^-1*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*c*a*b^-1\
*c^-1*b^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*b^-1,
  c*(d^-1*a^-1)^2*d*a^-1*b^-1*a^-1*d*b*a*d^-1*b^-1*a*c*a*b^-1*a^-1*d*b^-1*a^-\
1*d^-1*a*b*c*b*d^-1*a*b^-1*a^-1*d^-1*c^-1*b*d^-1*c^-1*b^-1*c^-1*d^-1*c^-1*a^-\
1*b*d*a^-1*b^-1*d^-1*c^-1*b^-1*c^-1*a*d^-1*b*d^-1*c^-1*a*d^-1*a*b^-1*c^-1*a^-\
1*d*a^-1*b^-1*(d^-1*a)^2*d^-1*b^-1*c^-1*a*d*a^-1*c*a*d*a^-1*b*c*d^-1*a*b^-1*c\
^-1*(d^-1*b^-1)^2*a^-1*c*a*c*d,
  c^-1*a*d*b^-1*a*b^-1*d^-1*b*d*c*b^-1*a^-1*d*c^-1*a^-1*d^-1*a*b^-1*d*(a*c^-1\
*d^-1)^2*a^-1*b^-1*c*b^-1*a*d^-1*b^-1*c^-1*d^-1*c^-1*b^-1*a*c^-1*a^-1*d*a*b*c\
^-1*a*d^-1*a*b*a^-1*d^-1*b*a^-1*d*a*b*c^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^\
-1*b^-1*c^-1*a^-1*d^-1*a^-1*b^-1*c^-1*b^-1*a^-1*(d*a)^2*d^-1*c^-1*d*a^-1*d^-1\
*b^-1*a*(b^-1*d^-1)^2*b^-1*a*c^-1*d^-1*a*b^-1,
  d*a^-1*d*b*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*b^-1*d^-1*a^-1*(b^-1*c^-1)^2*a*d^-1\
*b^-1*a*c^-1*a*b^-1*d^-1*c*b^-1*c*a^-1*b^-1*d^-1*b*d^-1*c*b^-1*a^-1*d^-1*c*b^\
-1*c^-1*a^-1*b^-1*d^-1*c^-1*b^-1*c^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a*b*a^-1*c*d^-\
1*b^-1*d^-1*c^-1*b^-1*a*b^-1*c^-1*b^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*b^-1*a^-1*d^\
-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b*c^-1*a*d^-1*c*d^-1*b^-1*a*b^-1*c^-1*d^-1*c^-1
    ,
  c^-1*b*a^-1*d^-1*a*b*c*(d*b^-1)^2*a^-1*d^-1*b^-1*d*c*b*a^-1*d*b^-1*c^-1*b^-\
1*d*a^-1*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d*b^-1*a*b^-1*c^-1*b^-1*d^-1*c^-1*(d*a^\
-1)^2*c^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d*a*(d^-1*a^-1*c)^2*a^\
-1*b*a^-1*c^-1*d^-1*a*b*a^-1*c^-1*a*b^-1*a^-1*c^-1*d^-1*a*b*c^-1*(d^-1*b^-1)^\
2*c*a^-1*d^-1*c^-1*(a^-1*d*b^-1)^2,
  c^-1*a^-1*b*d^-1*a^-1*b*c^-1*a*d*b*a*d^-1*b^-1*a*c^-1*d^-1*c*b*c*d^-1*b^-1*\
d*a*b*c*d^-1*b^-1*d^-1*a*b^-1*d^-1*a^-1*b^-1*c^-1*d*a*c*d^-1*b^-1*c^-1*a^-1*b\
^-1*d^-1*b^-1*d*c^-1*a^-1*b^-1*d*a^-1*c^-1*b^-1*a*c^-1*d^-1*c^-1*a^-1*d*b^-1*\
a^-1*d^-1*a*b^-1*c^-1*b^-1*d*c^-1*b*a^-1*(d^-1*b^-1)^2*c^-1*b^-1*a^-1*c*d^-1*\
a*b*c*(d^-1*b^-1)^2*a^-1*b^-1*d*c^-1*d^-1*a^-1*c^-1*b^-1,
  d*a^-1*d*(c*d^-1)^2*b^-1*a^-1*c^-1*d^-1*b^-1*a*b^-1*c^-1*d*a^-1*d*b^-1*d^-1\
*a*b*c^-1*d^-1*b*d^-1*b^-1*a*d^-1*b*c^-1*(b^-1*a^-1*d^-1)^2*b^-1*d^-1*c*b*a^-\
1*d^-1*b^-1*c*a^-1*d^-1*b*d^-1*c*b*a^-1*d^-1*b^-1*a^-1*d^-1*a*c*a^-1*b^-1*d*a\
*b*c^-1*d^-1*b*a^-1*d^-1*c^-1*a^-1*d*a*d*a^-1*c^-1*d^-1*b*c^-1*b^-1*d^-1*a*b*\
c^-1*d^-1*b^-1*d*a*b^-1*a^-1*(d*a)^2,
  c*a*d*a^-1*c*a*d^-1*a^-1*b^-1*c*a^-1*d*a*b^-1*d*a*c^-1*d*c^-1*b^-1*c^-1*a*b\
^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^\
-1*d^-1*b*a^-1*d^-1*a*b^-1*a^-1*c^-1*d*a*b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*c*a^-1\
*b^-1*d*b^-1*a*(b*c)^2*a^-1*b^-1*d*a^-1*d^-1*b*a^-1*d^-1*b^-1*a*c*b^-1*a^-1*d\
^-1*a*b^-1*d^-1*a*c^-1*d*a*c^-1*b^-1*a^-1*c*a*d,
  c^-1*a^-1*d^-1*a*b*a^-1*d^-1*b*c*d^-1*b^-1*c*b^-1*d^-1*b^-1*a^-1*d*b^-1*d^-\
1*c*a*b^-1*d^-1*c^-1*a^-1*b*d^-1*a*d*a^-1*d^-1*a^-1*d*a^-1*b^-1*c^-1*b^-1*d*c\
*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*a*c^-1*a*d*a*c^-1*d^-1*a^-1*b^-1*c^-1\
*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*a*d^-1*a^-1*b*d^-1*b^-1*a*d*b^-1*a*c*d^-1*c^\
-1*b^-1*c^-1*d^-1*a*b*d^-1*b^-1*d^-1*c*b^-1*a^-1*d*a^-1*d^-1*a*b,
  a^-1*d^-1*c^-1*a^-1*b*a*c^-1*(d*a^-1)^2*c*a*b*a*c*a^-1*d^-1*c^-1*(d^-1*a^-1\
)^2*b^-1*c^-1*d*b^-1*a^-1*c*d*a^-1*c*b^-1*c^-1*b*a*d*b*c^-1*d^-1*a^-1*c*d^-1*\
(c^-1*b^-1)^2*d^-1*a^-1*b^-1*c^-1*b^-1*a^-1*d*b*a*c*a^-1*b*d*b*a*d*c^-1*b^-1*\
d*a^-1*b^-1*d^-1*c^-1*a^-1*b^-1*a^-1*d*b^-1*d*c^-1*a^-1*b^-1*d*b*a^-1*c^-1*b*\
c^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1,
  d*c^-1*a*c^-1*b*a^-1*d^-1*b^-1*c*b*c*a*c*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*\
c^-1*b*a*d^-1*a^-1*d^-1*a*d*c^-1*a*b^-1*c^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*b^-1*a\
^-1*c^-1*b^-1*a*d*b^-1*a*(b^-1*d)^2*b^-1*c^-1*d*c^-1*a*b^-1*c^-1*b^-1*d^-1*c^\
-1*a*d^-1*a^-1*d^-1*b^-1*d^-1*a^-1*c^-1*b^-1*d*a*d^-1*a^-1*b^-1*a*d^-1*b^-1*d\
*c^-1*b^-1*a*d*a^-1*c^-1*b^-1*d^-1*a*d^-1*c^-1*a^-1*b^-1*c^-1,
  a^-1*d*b^-1*a*b^-1*d^-1*b*d*c*b^-1*a^-1*d^-1*c^-1*d^-1*b^-1*c^-1*d*c^-1*a*d\
^-1*c^-1*b^-1*a*b^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a*b^-1*d^-1*a^-1*c*a^-1*b*c\
^-1*a*(d^-1*c^-1*b^-1*a^-1*d^-1*b^-1)^2*a^-1*d^-1*a*c*a^-1*b^-1*d^-1*a*b^-1*c\
^-1*d^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d*a*d^-1*c^-1*a*c^-1*b^-1*a^-1*d^-1*b^-1*d^\
-1*b*a*c*d^-1*a*b^-1*c^-1*a^-1*c^-1*d^-1*a*b^-1*d*a*c,
  a^-1*c^-1*b^-1*c*a^-1*b*d^-1*a^-1*d*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d*a^-1*d^-\
1*a^-1*c*b^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a*c*d*c^-1*a^\
-1*d*b*a^-1*d^-1*a*c^-1*b^-1*a^-1*c*a*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1\
*d^-1*b^-1*d*b*a^-1*c^-1*d^-1*b^-1*(d^-1*a^-1)^2*b*a*d^-1*b^-1*c^-1*a^-1*d^-1\
*a*b^-1*d^-1*a*c^-1*d*c*b^-1*a*d*c^-1*b^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*b,
  d*b^-1*a^-1*c^-1*b^-1*d^-1*c^-1*a*b^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*b*c^-1*a^-\
1*d*b^-1*d*c^-1*b^-1*a^-1*d*b*c^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*a*b*a^-1*d*\
b^-1*d^-1*c^-1*a^-1*b*d^-1*c^-1*a*b^-1*a^-1*d*b^-1*d*a*b*c^-1*d*b^-1*c^-1*b^-\
1*d*a*b*c^-1*d*b^-1*d*a*b*a^-1*c*d*a*c^-1*b*c*b^-1*d*a^-1*d*a*c^-1*d*b^-1*d^-\
1*c^-1*b^-1*a^-1*d*b^-1*a*b*c^-1*a,
  d^-1*c*b^-1*a*d^-1*c*a^-1*c*b*a*c^-1*d*b*d*b^-1*a*d*a^-1*b*d^-1*c*b*c^-1*a*\
d*b*c*b^-1*c*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*\
d^-1*b^-1*d^-1*a*b^-1*d*a^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^\
-1*a*d^-1*c*(b^-1*d^-1*c^-1)^2*a*b^-1*c*(b^-1*d^-1)^2*c*b^-1*c^-1*d*b^-1*d^-1\
*c*a*b^-1*a*d*a*d^-1*a*b*a^-1*c,
  (b^-1*c)^2*a*c^-1*d*b^-1*a*c*a^-1*d*c*b^-1*c*a^-1*b*d*a^-1*b^-1*a^-1*d^-1*c\
^-1*a^-1*d^-1*a*b^-1*c^-1*b^-1*c*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*b^-1*\
c^-1*d^-1*a*b^-1*d^-1*a*c^-1*d*a*c^-1*d^-1*c^-1*a^-1*b*c^-1*a*d*b^-1*a^-1*b^-\
1*c^-1*a*d*a*b*a^-1*c^-1*a^-1*b*d^-1*b^-1*a^-1*c*b^-1*c^-1*b*d^-1*a*b*c^-1*d^\
-1*b^-1*d*b^-1*a^-1*b^-1*d^-1*b^-1*(a*d)^2*b^-1*a^-1*d,
  d^-1*a*b^-1*c*(d*b^-1)^2*a^-1*c*b*c^-1*d*a*b^-1*c^-1*(d^-1*b^-1)^2*d^-1*a*c\
^-1*a*d*c^-1*b^-1*d*b^-1*d^-1*b^-1*c^-1*d*a*d*b^-1*c^-1*d^-1*a^-1*c^-1*d*a*c^\
-1*a^-1*d*c^-1*b^-1*d^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d*a*b^-1*a*d^-1*a*c^-1*b*a\
*b*a^-1*d*a*b^-1*d*c^-1*a^-1*d*a*c^-1*d*a*b^-1*c^-1*d*b^-1*d*a^-1*c*a^-1*b*a^\
-1*d*b^-1*d*a*b^-1*a^-1*c^-1*a^-1,
  c^-1*a^-1*b*d^-1*a*d^-1*c^-1*b*a^-1*c*(a^-1*d)^2*b*d^-1*b^-1*a*b^-1*d^-1*b^\
-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c*b^-1*d^-1*a^-1*b*c^-1*b^-1*c^-1*a*d^-1*b^-1*d\
^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*d^-1*c*b^-1*a^-1*d^-1*b*c^-1*d^-1*b^-1*d^-\
1*c*a*c*b^-1*a*d*a*b^-1*d*a*c^-1*d*a^-1*b^-1*c^-1*d^-1*c*b^-1*d^-1*b*c^-1*b^-\
1*c*a^-1*d^-1*a*b^-1*d*a*c^-1*b^-1*a^-1*c^-1*d^-1*a^-1*b^-1*c^-1*d,
  d*a*b^-1*c*d*b^-1*d*a*b*a^-1*d*a*b^-1*a*d*a*b^-1*a^-1*b*c*d^-1*a*b^-1*c^-1*\
d^-1*b*d^-1*b^-1*a^-1*b^-1*d^-1*b^-1*(a*d^-1)^2*b^-1*a^-1*d*b^-1*a^-1*b^-1*a*\
c^-1*b^-1*d^-1*a^-1*d*b^-1*c^-1*b*a^-1*b^-1*d^-1*a*d*a^-1*b*c^-1*d*a*c^-1*d*c\
^-1*a^-1*d*b^-1*a^-1*d*a^-1*b*a*c^-1*b^-1*a^-1*d*a^-1*c^-1*b^-1*c^-1*a^-1*b^-\
1*d*b^-1*a*d*a^-1*b*a^-1*c^-1*a*c*d^-1*a*b^-1,
  a*d^-1*a^-1*c^-1*b^-1*d^-1*c^-1*b*d^-1*b*a*c*d*a^-1*b*c*a^-1*c*d*b*a^-1*b^-\
1*d^-1*c^-1*b*a^-1*c^-1*d^-1*b*a^-1*(c^-1*b^-1)^2*d^-1*a*d^-1*c^-1*(a^-1*d)^2\
*c^-1*a*d^-1*b^-1*a*d*a*d^-1*b^-1*c^-1*d*a^-1*c^-1*d*a*b*a^-1*c^-1*d^-1*a^-1*\
c*a*d^-1*a^-1*c^-1*b^-1*c^-1*d*b^-1*a*b^-1*c^-1*a^-1*d*(a^-1*d^-1)^2*b^-1*c^-\
1*a^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*c^-1,
  d^-1*(b*d)^2*a*c^-1*d^-1*a^-1*b*c^-1*d^-1*c^-1*a*d^-1*c^-1*b*c^-1*d^-1*b*a^\
-1*d^-1*b^-1*a*b^-1*d*c^-1*d^-1*c^-1*b*a^-1*c^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a\
^-1*(d^-1*b^-1*a)^2*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a*d^-1*b*a^-1\
*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*a^-1*c^-1*a*b^-1*d^-1*a^-1*d^-1*a*b^-1*\
c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*c^-1*d*a*c^-1*a*d^-1*c^-1*\
b^-1,
  a*d^-1*c^-1*a^-1*b*d^-1*b^-1*d^-1*a^-1*b^-1*a*c^-1*b^-1*c*d*a*b^-1*c^-1*(d^\
-1*b^-1)^2*a*b*c^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b*a^-1*c^-1*d^-1*c\
^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*a^-1*b^-1*d^-1*c^-1*a*b^-1*c^-1*b^-1*d^\
-1*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*d^-1*a^-1*c*a^-1*d^-1*b^-1*c*d^-1*b^-1*c^-1*a\
^-1*b*d^-1*a^-1*d^-1*b^-1*c*a^-1*d^-1*a*d^-1*c^-1*b*a^-1*d*a*b*d^-1*a*c^-1*d^\
-1*a^-1*b^-1,
  d^-1*c*a^-1*d^-1*c^-1*a^-1*d*a*c*a^-1*b^-1*c*d^-1*c*a^-1*b*d^-1*a*b^-1*c^-1\
*(d^-1*b^-1)^2*a^-1*b^-1*c^-1*b^-1*d^-1*(c^-1*b^-1*c^-1*d^-1*a*b^-1)^2*c^-1*d\
*b^-1*d^-1*b*a^-1*d*a*(d^-1*c^-1)^2*a^-1*c*b^-1*a*d^-1*b^-1*d^-1*a*b^-1*c^-1*\
(d^-1*b^-1)^2*c^-1*d^-1*b^-1*(a*d^-1)^2*b^-1*c^-1*d*a^-1*c^-1*d^-1*b*c^-1*a*b\
^-1*a^-1*d*a*b*d^-1*a*c^-1*d^-1*c^-1*a^-1*b*c^-1,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*c*b^-1*c*a*d^-1*b*c*b^-1*d^-1*a^-1*c*a^-1*\
b^-1*c^-1*d*a*d^-1*a^-1*b^-1*d^-1*c*a^-1*b*d*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^\
-1*c^-1*b^-1*c^-1*d*b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*d^-1*c*a*c^-1*b^-1\
*a*d^-1*a^-1*(c^-1*b)^2*a*d*b^-1*c^-1*d^-1*a*c*d^-1*c*(a^-1*d^-1*b^-1)^2*d*b^\
-1*d^-1*c^-1*a^-1*b^-1*d^-1*b^-1*c^-1*b^-1*a*c^-1*a*d*a*c^-1*d,
  a*d^-1*a^-1*c*b*d*a*d^-1*b^-1*a*b*d*a^-1*c^-1*b^-1*d^-1*a*d^-1*a^-1*b^-1*d^\
-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*\
a^-1*d*a*b^-1*d*b^-1*a*c*d^-1*a*b^-1*d*a*d^-1*a^-1*b^-1*a*c^-1*b^-1*c*a*d^-1*\
b^-1*a*c^-1*d^-1*b^-1*d*c^-1*b^-1*c*a*b^-1*d^-1*a^-1*b^-1*c^-1*b^-1*a^-1*c*d^\
-1*b^-1*a^-1*b*(c^-1*a*d)^2*c^-1*b^-1*d*a^-1*d^-1*a^-1*b^-1*d^-1*b^-1*c^-1,
  d^-1*b^-1*a^-1*d^-1*c*a*d^-1*c*(b*d^-1)^2*b^-1*a^-1*b^-1*d*c*b^-1*c*d^-1*b^\
-1*c*a*b^-1*a^-1*d^-1*c^-1*b*d^-1*a*c*b^-1*c^-1*a*d^-1*c^-1*a*b^-1*d^-1*a^-1*\
b*c*a^-1*c*d*b^-1*c^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*c*b^-1*c^-1*a*b^-1*a^-1\
*d^-1*c*a^-1*b*d^-1*a^-1*b^-1*d^-1*b^-1*a*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d*b\
^-1*d^-1*b*a^-1*b*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c*b*a*b^-1*c^-1*a,
  b*d*a*b*c^-1*(d^-1*b)^2*a^-1*b^-1*c*b*d^-1*c^-1*a*b^-1*a^-1*d*b^-1*d^-1*c^-\
1*b^-1*a^-1*d*c^-1*d^-1*a^-1*c*b^-1*d*a*d^-1*a^-1*b^-1*d*c^-1*d*a*b^-1*c^-1*d\
^-1*b^-1*d^-1*a*b*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*c^-1*b^-1*c*(a^-1*d^-1)^2*a*\
b*a^-1*(d*b^-1)^2*c^-1*d*c*a*b^-1*d^-1*b^-1*a*d*b*a*c^-1*d^-1*c*b^-1*c*a^-1*b\
*a*d*c^-1*b^-1*c^-1*d^-1*a*d*a^-1*c*a,
  b*a^-1*d*c^-1*a*b*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d*c*d^-1*a*b^-1*c*d*a*c^-1*(\
d^-1*a*b^-1)^3*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b*(c^-1*b^-1*a^-1*d^-1)^2\
*c^-1*d*a*c^-1*d^-1*a^-1*(b^-1*c^-1)^2*a*d^-1*c*a*d^-1*a^-1*c^-1*b^-1*d^-1*a*\
d^-1*c^-1*a*b^-1*c^-1*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c*a^-1*d*c^-1\
*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a,
  c*b^-1*d^-1*a*b*c*d*b^-1*d*a*b^-1*c*a*d*a^-1*b*d*c^-1*a*d*c^-1*(b^-1*d^-1)^\
2*b*a^-1*b^-1*c^-1*b^-1*d^-1*a*d^-1*c*a^-1*d^-1*a^-1*c^-1*d*c^-1*a^-1*d*a*c*b\
^-1*a^-1*d^-1*a^-1*(c^-1*d^-1*a)^2*b^-1*c^-1*d*b^-1*d^-1*b*a^-1*b^-1*d^-1*c^-\
1*d*c^-1*b^-1*c^-1*a*d^-1*b*a*c*d*b^-1*d*a^-1*b*a^-1*c*a^-1*d*c*b^-1*a*b^-1*d\
^-1*b^-1*c^-1*d*c^-1*b^-1*a^-1*d*a^-1*c^-1*a,
  d^-1*a^-1*b*d*a^-1*d^-1*a^-1*b^-1*d*c*a*d^-1*a^-1*c^-1*b^-1*a^-1*d^-1*a^-1*\
b^-1*d^-1*a*d^-1*a^-1*b^-1*c^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*a*b^-1*a*c^-1*d*a^-\
1*c^-1*b*c^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-1*d*a*c*d*a*b^-1\
*a^-1*c^-1*a*(b^-1*d^-1)^2*c*b^-1*a^-1*d^-1*c^-1*b^-1*d^-1*a^-1*c^-1*b*d^-1*a\
*d^-1*b*a*b^-2*a*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a^-1*b^-1*a^-1*c^-1*b^-1*c^-1
    ,
  d*a*d*a^-1*b*c*b^-1*a^-1*d^-1*a*b^-1*d*a*c*d^-1*a*c*d*c^-1*a^-1*b^-1*a*(d*b\
^-1)^2*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*d*a^-1*b*c^-1*d*a*d*a^-1*b^-1*d^-1*c^-1*\
d*a^-1*b^-1*c^-1*b^-1*a^-1*d*a*c^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^\
-1*b^-1*(d*a^-1)^2*c^-1*a*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d*a*c*a^-1*b*c^-1\
*(b^-1*d)^2*c^-1*b^-1*a^-1*d*b^-1*a*b^-1*c*b^-1*c^-1*a^-1,
  d*a*b^-1*a^-1*d*b*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a\
^-1*d^-1*b*c^-1*b^-1*a^-1*d*a*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*c^-1*a^-1*b*\
c^-1*d^-1*b^-1*a*(b^-1*d^-1)^2*b^-1*c^-1*d^-1*c*a*(c*d^-1)^2*c^-1*d*a*b^-1*c^\
-1*b^-1*d^-1*b^-1*a^-1*d*a*b^-1*a^-1*d^-1*c^-1*a*c^-1*d^-1*a*d^-1*b*c^-1*d*a^\
-1*c*d^-1*a*(b^-1*c^-1)^2*a*d^-1*c*a^-1*d^-1*a*b^-1*(d*a*c^-1)^2,
  c^-1*a^-1*d^-1*b^-1*c*a^-1*d*(b^-1*d^-1)^2*c*b*a^-1*d^-1*b^-1*a^-1*d^-1*b*a\
*d^-1*c^-1*a^-1*b*d^-1*b^-1*d^-1*b*a^-1*c*b^-1*d^-1*b^-1*c*d^-1*c^-1*a*d^-1*c\
^-1*b^-1*d^-1*b*d*c^-1*b^-1*c*d^-1*b*a*d*b^-1*a*c*d*c^-1*b^-1*c^-1*a^-1*b^-1*\
a*d^-1*c^-1*d^-1*c*a*b^-1*a*d^-1*b*d*c^-1*a^-1*b^-1*d^-1*c^-1*d^-1*c*b^-1*a^-\
1*b^-1*d^-1*c^-1*d^-1*b^-1*d^-1*b*a*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*a^-1*d*\
a^-1,
  d*b*d^-1*c^-1*b*a^-1*d^-1*b*c*d*a*c^-1*b^-1*a^-1*d^-1*b*a*d*a^-1*c^-1*b^-1*\
a^-1*d^-1*b^-1*a*(b^-1*d^-1)^2*c*b^-1*a^-1*d^-1*c*b^-1*c*d^-1*c*a^-1*d^-1*b^-\
1*a^-1*d^-1*a*b^-1*c^-1*b^-1*d*a^-1*b^-1*c^-1*d*a*c*d^-1*c^-1*b^-1*a*b*d^-1*c\
^-1*a^-1*c*b^-1*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*b^-1*a^-1*d*a*b^-1*c*d^-1\
*b^-1*d^-1*b*a^-1*c^-1*b*a*d*a*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*d^-1*a^-1*b^-1,
  a*d^-1*b^-1*c^-1*b*c^-1*d^-1*c^-1*a*(d^-1*c^-1*b^-1)^2*c*d^-1*b*a*d^-1*b^-1\
*d^-1*c^-1*b^-1*d^-1*b^-1*a*d^-1*c^-1*a^-1*b*c*b^-1*d^-1*b*c^-1*b^-1*c^-1*d^-\
1*c^-1*a*(d^-1*a^-1)^2*c^-1*a*b^-1*d^-1*a*c^-1*b^-1*d*(a^-1*d^-1)^2*b^-1*c^-1\
*d^-1*a^-1*c^-1*d^-1*b^-1*c^-1*b*c^-1*d^-1*a^-1*d*a^-1*c*a*d^-1*b*c^-1*b^-1*c\
*d^-1*c^-1*a*d^-1*c*(a*d^-1)^2*c^-1*a^-1*d^-1*c^-1*b^-1*c^-1*b*d^-1*c^-1*a*d,
  a^-1*b^-1*d^-1*b^-1*a*(b^-1*d)^2*c*b^-1*a^-1*d*c^-1*b*a^-1*c^-1*d*a^-1*d^-1\
*c^-1*a^-1*d*b^-1*a^-1*d^-1*b^-1*a*c^-1*b^-1*c*b*d^-1*b^-1*d^-1*c*b^-1*a^-1*d\
*b^-1*c*d*b^-1*d^-1*c*a^-1*b*d^-1*c^-1*a^-1*b^-1*a^-1*c^-1*d*a*d*b^-1*d^-1*c*\
b^-1*a^-1*d^-1*b^-1*a*c^-1*b^-1*c^-1*d*a^-1*b*c^-1*d^-1*a^-1*b^-1*d^-1*c^-1*b\
^-1*c*a^-1*c^-1*b^-1*d*a*b^-1*c^-1*(d*b^-1)^2*c*a*b^-1*d*a*d^-1*c^-1*a^-1*d,
  d^-1*a*d*c*b^-1*a^-1*b^-1*d^-1*a^-1*d*b*c*b*a*b*d*b^-1*d*c^-1*b*a^-1*d^-1*c\
^-1*b^-1*c*d*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*a^-1*b^-1*c^-1*a*d*c^-1*b^-1*d^-1*b\
^-1*d*a*b^-1*d^-1*a^-1*c^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*d^-1*b^-1*a^-1\
*b^-1*d^-1*c^-1*d^-1*a*c*d^-1*a^-1*b^-1*d*b^-1*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*b\
^-1*d*a*b^-1*a^-1*d^-1*c^-1*b^-1*a*c^-1*a*d*a*b^-1*d^-1*a*c^-1*d*a*c^-1*d^-1*\
c^-1,
  d^-1*a*b*c^-1*d^-1*b*d^-1*c^-1*a*b*c*d^-1*c*a^-1*d*a*b^-1*c^-1*b*d^-1*a*b*c\
^-1*d^-1*b^-1*d*a*c^-1*b*a*d*a*b^-1*(d^-1*a*c^-1)^2*d^-1*(a*d)^2*c^-1*(d*c^-1\
*a^-1)^2*d*b^-1*a^-1*d*c*b*a*d^-1*a^-1*b*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*c^\
-1*a*d*a*b^-1*c^-1*a^-1*d*a^-1*b*a*d*a*d^-1*a*b*a^-1*d*b^-1*d*c*b*a^-1*d^-1*b\
^-1*a^-1*c^-1*b*c^-1,
  d*a^-1*(c^-1*b^-1)^2*a*d*a^-1*c^-1*b*d^-1*a*b^-1*d*a*c*d*a*d*a^-1*c*d^-1*b*\
a^-1*c*b^-1*c^-1*a^-1*d^-1*b^-1*c^-1*a*d^-1*a*c^-1*a*b^-1*a*d*a*c^-1*d^-1*b^-\
1*c^-1*b^-1*(d^-1*a^-1)^2*c^-1*b^-1*c^-1*d*b^-1*a^-1*(b^-1*d)^2*c^-1*b^-1*a^-\
1*d^-1*(c^-1*b^-1)^2*d^-1*c^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*b*c^-1*b^-1*d^-1*b\
^-1*c*a^-1*b^-1*a*(d*b^-1)^2*c^-1*d*a^-1*c^-1*d*b^-1*a,
  d*a*b^-1*c*d*b^-1*d*a*(b^-1*a^-1*d)^2*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c*a^-1*d\
*b*d^-1*c*b^-1*a^-1*d*c^-1*b^-1*c*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a*b^-1*d^\
-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1*a^-1*b*a*d*c^-1*b*a*d^-1*c*d^-1*a^-1*b\
^-1*c^-1*b*c^-1*d^-1*a*b^-1*a^-1*c^-1*d^-1*a*(b*c^-1*d^-1)^2*b*c^-1*a*b*a*c*d\
^-1*a^-1*c^-1*d^-1*c*b^-1*c*a*c*d^-1*b^-1*c^-1,
  d*b*d^-1*b*c^-1*d^-1*a^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d*a*c\
*b^-1*a*d^-1*(b*c)^2*d^-1*a*b*c^-1*(d^-1*b^-1)^2*a*b^-1*d^-1*a^-1*c^-1*d^-1*a\
^-1*c*d^-1*(b*c)^2*d^-1*a^-1*b^-1*d^-1*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1\
*d^-1*a*b^-1*a*d^-1*a^-1*b^-1*d^-1*b*c^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*c*b^-\
1*d*a*b*c^-1*(d^-1*b^-1)^2*d^-1*c^-1*b*c^-1*b^-1*a^-1*c^-1*d^-1*b^-1*a*c*b,
  b*d^-1*a*b^-1*c*d*b*d^-1*a*c^-1*b^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*c^-1*a*\
b^-1*a*c*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*c^-1*b*c^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-\
1*d*b^-1*a^-1*d*a^-1*c^-1*d^-1*a^-1*b*a*c*b^-1*c^-1*a*d^-1*b^-1*a*c^-1*d^-1*b\
*d^-1*b^-1*a*b^-1*c*d^-1*c^-1*b*d^-1*b^-1*a*b*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*c^\
-1*b^-1*c^-1*d^-1*a*c*d^-1*a^-1*d*a^-1*c^-1*d^-1*b*a*d*a^-1*d^-1*a^-1*c^-1*a,
  a^-1*d*a^-1*b*d*a*d^-1*a*(b^-1*c^-1)^2*a*d^-1*a^-1*d^-1*a*b^-1*c*b^-1*d*a*b\
^-1*c*d^-1*b^-1*d*a*b^-1*c^-1*d*c*b^-1*a^-1*d^-1*a^-1*b^-1*d^-1*b^-1*a^-1*b^-\
1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*a^-1*d*a*c*a^-1*b^-1*\
d*a*b^-1*c^-1*d*b^-1*d*a*b^-1*a^-1*b^-1*d*a^-1*d*b^-1*c^-1*a*(d^-1*b^-1)^2*d*\
c*b*a^-1*d^-1*a^-1*c^-1*a*b^-1*c*a^-1*d*b^-1*d*c*b^-1*a^-1*d*b^-1*c,
  d*a^-1*c*a*b*c*d*c^-1*b^-1*a^-1*c*a*d*a*b*c^-1*a^-1*b*d^-1*b^-1*d^-1*a*b^-1\
*a^-1*d^-1*c*a*d^-1*c^-1*b^-1*c^-1*a*d*a^-1*d^-1*a*d*a*b*c^-1*a^-1*d^-1*a*b^-\
1*c^-1*b^-1*a*d^-1*a*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*\
a*c*a^-1*b^-1*d^-1*b^-1*a^-1*d^-1*c*a^-1*d*c^-1*d*a^-1*c^-1*d^-1*a*d*a*c^-1*d\
^-1*a^-1*d^-1*c^-1*a*b^-1*a*d*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c^\
-1,
  b*d^-1*a*b*c^-1*d^-1*b*d^-1*b^-1*a^-1*d^-1*a*b*c*d^-1*b*d^-1*a*b*c^-1*d^-1*\
a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*b*c^-1*b^-1*a^-1*d*a*b^-1*d*a*c*d^-1*b^-1*a^-\
1*d^-1*b^-1*d^-1*c*b*a^-1*d*c^-1*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^\
-1*b*c^-1*d*c*b*a*b*d*a*b*c^-1*d^-1*b^-1*d^-1*a*d*c^-1*a^-1*d^-1*b*a*d^-1*a^-\
1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*c\
*a^-1,
  b^-1*d*a*b*c^-1*d^-1*b*d^-1*a^-1*c^-1*a*b^-1*d*a^-1*d^-1*b*c*(b^-1*a^-1*d^-\
1)^2*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*a^-1*d*b^-1*d*c*(b^-1*a^-1*d^-1)^2*a^-\
1*c*a*b*d^-1*a^-1*b^-1*a^-1*c^-1*a^-1*d*c*a*d^-1*c*b^-1*d*a^-1*d^-1*a^-1*b^-1\
*d*c*b^-1*a*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*a^-1*b^-1*c^-1*b*a^-1*d*a*b*c^-1*d^-\
1*b^-1*d*a*c*b*a*b^-1*c^-1*b^-1*d*a*b*d*a*c*d^-1,
  d^-1*a*d^-1*a^-1*d*c*b*c*a*d^-1*a^-1*c*a^-1*d*c^-1*a*d*a*b*c*a^-1*d^-1*a*c*\
b^-1*a*b*c^-1*d^-1*b*c^-1*b*a*d^-1*c^-1*a^-1*b*d^-1*b^-1*c*a*d*b*d*a^-1*b*a*d\
*b*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*d^-1*a^-1*c^-1*a*d*b^-1*a*b^-1*c^-1\
*d^-1*b*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*b^-1*a^-1*d*c^-1*a*d*a*b^-1*c^\
-1*a^-1*d*b^-1*d^-1*(b^-1*c^-1)^2*d^-1*c^-1*a*d*c^-1*b^-1,
  b^-1*a*b^-1*d^-1*b*d*c*b^-1*a^-1*(d^-1*b)^2*a^-1*c*b*c^-1*d^-1*c^-1*b*a^-1*\
c^-1*d*a*b^-2*a^-1*d^-1*(b^-1*c^-1)^2*d*a*c^-1*b^-1*a^-1*d*a*b^-1*c*d^-1*b^-1\
*d^-1*a*b*a^-1*c^-1*b^-1*(a*d)^2*a*(b*d^-1)^2*c^-1*b^-1*a^-1*d*a^-1*b^-1*c*d*\
a*b*(d^-1*c^-1*b^-1*c)^2*d^-1*c^-1*d*c^-1*b^-1*c^-1*a*d^-1*b^-1*a*c^-1*d^-1*b\
^-1*d^-1*a^-1*b^-1*d^-1*c^-1*a*c^-1*d*b^-1*c*d*c^-1,
  b^-1*a^-1*c^-1*b*d*a*d^-1*b^-1*a*c^-1*b^-1*c^-1*a^-1*d^-1*a*d^-1*b^-1*a*b*c\
*d^-1*a*c^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*a*b*c^-1*b^-1*a^-1*d^-1*a^-1*b*d\
^-1*a*c^-1*b*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a*d*c^-1*a*d^-1*a*b^-1*c^-1*a^\
-1*d*a^-1*b^-1*c^-1*a^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c^-1*d^-1*b^-1*a*c^-1*a^-1*\
b*d^-1*c^-1*b^-1*a*d^-1*b^-1*c^-1*d*b^-1*a*b^-1*d^-1*c^-1*(a*c^-1*d)^2*c^-1*a\
^-1*d^-1*b^-1*a^-1*d^-1,
  d*c*b*c*d^-1*a*b*c*b*a^-1*d^-1*a*d^-1*c*b^-1*c*a*c*d*b*c^-1*d^-1*a*b^-1*c^-\
1*d^-1*b^-1*d*a*b*d*b*a*c*d^-1*a*b^-1*d*a^-1*b^-1*a*d^-1*c*a^-1*d^-1*b^-1*a^-\
1*d^-1*a*c*b*c^-1*b^-1*a^-1*d^-1*a*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*a*b*a^-1*d^-1\
*b^-1*d*c*b^-1*a^-1*d*b^-1*d*c^-1*b^-1*c*a*d*b^-1*a*c*d^-1*b^-1*d*b^-1*c^-1*b\
^-1*d^-1*c^-1*a^-1*c^-1*d*c*b^-1*d^-1*b^-1*d*c^-1*d^-1*a^-1,
  d^-1*a^-1*c^-1*a*b*c*b^-1*a^-1*d^-1*a*b*d^-1*a*c*d*a*b*a^-1*d*c*a^-1*d^-1*(\
b^-1*c^-1)^2*d^-1*a*b^-1*c*d^-1*b^-1*d*a*b^-1*a^-1*c*a*d^-1*a^-1*c*b^-1*a*b^-\
1*d^-1*b^-1*d*c^-1*b*a^-1*d*c^-1*b*c^-1*d*a*b^-1*c^-1*d*b^-1*d*a*b^-1*d*a^-1*\
c^-1*d*a*b^-1*d*a*c^-1*d^-1*c^-1*a*d*a*c^-1*b*c^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*\
a*b^-1*d^-1*b*a*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*b,
  d^-1*c*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*a^-1*b^-1*(d^-1*b*a)^2*c^-1*d^-\
1*c*b^-1*c*d^-1*c*b*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*c^-1*(d^\
-1*a)^2*c^-1*d^-1*a^-1*d^-1*c^-1*b*c^-1*a^-1*c*d^-1*c^-1*a*b^-1*c^-1*(b^-1*d^\
-1)^2*c^-1*a^-1*d^-1*c*d^-1*a*b^-1*a^-1*(d*a*b^-1)^2*c*(d^-1*b^-1)^2*a^-1*d*a\
^-1*c^-1*b^-1*d*a^-1*b^-1*a*d*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*b^-1*a\
*c^-1,
  d*b^-1*a*c^-1*a^-1*b*c*d*a*b*(d^-1*a*c)^2*d*a^-1*b^-1*a*d*a*c^-1*b^-1*a*b^-\
1*c*d^-1*b^-1*d*a*b^-1*a^-1*c*d^-1*a*b*a^-1*c^-1*a*d^-1*b^-1*d*c*b^-1*d^-1*c^\
-1*b^-1*d^-1*b^-1*a*c^-1*d^-1*a*b^-1*d^-1*c^-1*b^-1*c*a^-1*c*d^-1*c^-1*a*d^-1\
*a^-1*c*a*c^-1*b^-1*d*a*d^-1*b^-1*a*b^-1*c^-1*b^-1*d*a*d^-1*a^-1*b^-1*d^-1*a^\
-1*c^-1*a^-1*d^-1*b^-1*c^-1*d^-1*c^-1*b^-1*a*d*a*d^-1*a^-1*b^-1*a^-1*c^-1*b^-\
1,
  b^-1*a*b^-1*d^-1*b*d^-1*b^-1*c*d*a^-1*c^-1*d*b^-1*d*a*c*b*d^-1*b^-1*a^-1*d*\
b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c*a^-1*(d^-1*b^-1)^2*c*d^-1*c*b^-1*a^-1*b^-1*\
c*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*c^-1*b^-1*a*d^-1*a*d*c*b^-1*d^-1*a*b*c*d^-1*b^\
-1*d^-1*a^-1*c^-1*a*d*b^-1*d^-1*c*a^-1*b*d^-1*a^-1*c^-1*b^-1*c*d^-1*c^-1*b^-1\
*a^-1*d^-1*b*d^-1*b^-1*a*c^-1*d^-1*a*b^-1*c*d^-1*b^-1*a*d*b^-1*a*c*d^-1*c^-1*\
b*c,
  c^-1*d^-1*a^-1*d^-1*b^-1*c^-1*a*b*d^-1*c^-1*b*a^-1*c^-1*d*c^-1*a*d*a^-1*b*c\
^-1*b*a^-1*(d^-1*a)^2*d*(c^-1*b^-1)^2*d*c*a^-1*b*d^-1*a^-1*b*d*a*b*d*a^-1*(b^\
-1*c^-1)^2*d^-1*c^-1*b*c^-1*d^-1*c^-1*a^-1*b*d^-1*a^-1*b^-1*d^-1*b^-1*a*d*a*c\
*d^-1*c*a^-1*d^-1*a*d*c*a^-1*d*b^-1*a*c^-1*d^-1*a^-1*c^-1*d*a^-1*d*c^-1*b*a^-\
1*d*c*a^-1*d*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*a*d,
  a^-1*c*a*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c*a^-1*b^-1*a*c*b^-1*d\
^-1*a*b^-1*c*d*b^-1*d*a*b^-1*a^-1*c*b^-1*d^-1*b^-1*a*c^-1*d^-1*b^-1*d*b^-1*a*\
d^-1*c*b^-1*c^-1*a^-1*d*a*b^-1*d*a*c*d^-1*(c*b^-1)^2*d*a*b^-1*c^-1*d^-1*b^-1*\
d*a^-1*b^-1*a^-1*c*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*c*b^-1*a\
^-1*b^-1*d*a*d^-1*b^-1*d*b^-1*d^-1*b^-1*c^-1*d*a^-1*c*d^-1*b^-1*d*b^-1*d^-1*c\
^-1*b^-1*a^-1*d*b^-1,
  b^-1*c^-1*b*d*a^-1*b*c*b*c^-1*d^-1*b*a*c*b^-1*c^-1*a^-1*d^-1*a^-1*d*a*b^-1*\
d^-1*b*d^-1*c*b^-1*a^-1*d*c^-1*a*d*b^-1*c^-1*b*c^-1*d^-1*c^-1*a*d^-1*a*c^-1*a\
^-1*d^-1*a*d^-1*c^-1*d^-1*a*c*a^-1*d^-1*b^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*b\
^-1*c^-1*a^-1*b*a*d*b^-1*d*c^-1*b^-1*a^-1*d*a*b^-1*a*c^-1*a^-1*c^-1*b^-1*a^-1\
*d^-1*b^-1*d*c*b^-1*a^-1*d*b^-1*c^-1*b*c^-1*a^-1*c^-1*d^-1*a*d^-1*c^-1*a^-1*d\
^-1*b^-1*a^-1*d^-1*a,
  b*d*b*a*c*d^-1*c*a^-1*d*a*b*d*a*c^-1*(d^-1*a*b^-1)^2*c^-1*d^-1*b^-1*d*a*c*a\
^-1*b^-1*c^-1*d^-1*b^-1*c*d^-1*a^-1*b^-1*c*a*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d^-1\
*a*b^-1*a^-1*c*a*b^-1*c*b^-1*a^-1*d*a*b*d^-1*a*c^-1*d^-1*a*b^-1*c^-1*a^-1*d^-\
1*b^-1*d^-1*c^-1*b^-1*a^-1*(d^-1*b^-1)^2*a^-1*d^-1*a^-1*c^-1*b*c*b*a*d*b^-1*c\
*b^-1*a^-1*d*a*b*d^-1*a*c*a^-1*b*c^-1*a*d*a*d^-1*c,
  d^-1*a*b*c^-1*d^-1*b*d^-1*a*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*b*a*c*b^\
-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d*a*d*c^-1*a^-1*c^-1*d^-1*c*d^-1*c^-1*b^-1\
*c^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*c*a*d*(a^-1*d^-1)^2*b^-1*a^-1*c^-1*b*\
a*d*a*c*a*b^-1*c^-1*b^-1*a*d*a*c^-1*d^-1*c*a*d*c^-1*a^-1*b*d^-1*c*a^-1*b^-1*c\
*b^-1*d^-1*a*d^-1*a^-1*c*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1*d^-1*a*b*a^-1*c^-\
1*b^-1*c,
  b^-1*c*a^-1*d*a*b*d*a^-1*d^-1*b^-1*a^-1*d^-1*a*b^-1*d*a*c*d*a*b*a*d^-1*a*c*\
d*b^-1*d*b*c*b^-1*a^-1*c*d^-1*b^-1*c*d^-1*c*b^-1*c^-1*a*d^-1*b*a*c*(d^-1*b)^2\
*a^-1*c^-1*a*d*c*(b^-1*d^-1)^2*c*a*c^-1*b^-1*c^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*\
d^-1*c*b^-1*a^-1*d^-1*b*a^-1*d^-1*a*c^-1*a^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^\
-1*c^-1*a^-1*d^-1*b^-1*a*b^-1*c^-1*b^-1*d^-1*a*d*a*c^-1*b^-1*c^-1*d^-1,
  a*c^-1*b*d*a*b*c^-1*d^-1*b^-1*d^-1*c*b^-1*c*d^-1*a*b*c^-1*d*b*d^-1*a^-1*d^-\
1*b^-1*c^-1*a*d^-1*c*b^-1*c^-1*b^-1*d^-1*c^-1*a*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*\
d*b^-1*d^-1*a*b^-1*a^-1*c^-1*a*d^-1*a*c*b^-1*c^-1*d^-1*c^-1*b^-1*d^-1*a^-1*d*\
a^-1*c^-1*d*a*(b^-1*d^-1)^3*c*a*d^-1*b^-1*c^-1*b^-1*c*(d^-1*c^-1*a)^2*c^-1*b*\
c^-1*b^-1*d^-1*a*b*c^-1*d*b^-1*c*a^-1*c^-1*d^-1*c^-1*b^-1*d*b^-1*d^-1*a^-1*b,
  d^-1*b^-1*c^-1*d*c*a*b^-1*c^-1*b*d*b*d^-1*c*a^-1*d^-1*a*b*a^-1*d^-1*b^-1*d^\
-1*c*b*a^-1*d^-1*b*a^-1*c*d^-1*(b*c^-1)^2*d^-1*b^-1*a*b^-1*c*a*d*a^-1*b^-1*c*\
b^-1*a^-1*(d^-1*a)^2*d^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d*a^-1*\
b*a*d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b*a*c^-1*a^-1*d^-1*a^\
-1*b^-1*c^-1*d^-1*a^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c*a*\
c^-1*d^-1*a*c^-1*b^-1*a,
  d^-1*a*c^-1*b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*a*b*a*c*a*d^-1*b*a*d*c*a^-1\
*d^-1*c^-1*b^-1*a^-1*b*a*d^-1*c^-1*a^-1*b^-1*d*b^-1*a*c^-1*d*a^-1*c^-1*d^-1*c\
*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*b^-1*a^-1*c^-1*d^-1*c*a*d*(a^-1*d^-1)^2*c^-1*\
a^-1*d^-1*b^-1*a^-1*d*a*b*c^-1*b^-1*c*a*d*a^-1*c^-1*b^-1*c*a*c^-1*d^-1*a*d^-1\
*c^-1*a*d^-1*c*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*b*c^-1*b^-1*c*a^-1*b,
  d*b^-1*d*a*b^-1*c*d*b^-1*d*c*(a*d^-1*c^-1)^2*b*d*b^-1*d^-1*a^-1*c^-1*b^-1*c\
^-1*d*a*c*a^-1*d^-1*c^-1*(a^-1*d^-1)^2*c*a*d^-1*b*c^-1*b^-1*c*d^-1*c^-1*a*d*c\
^-1*a*c^-1*b^-1*c^-1*a*b^-1*d*(b^-1*d^-1*a*b^-1*c*d^-1)^2*a^-1*d^-1*c^-1*a^-1\
*c*d^-1*a^-1*d*a*c^-1*b^-1*a*d^-1*a*d*b^-1*c*d^-1*b^-1*a*d^-1*b^-1*c^-1*a*d*a\
^-1*c*d^-1*a^-1*b*d^-1*b^-1*d*c^-1*b*a^-1*d*b^-1*c^-1,
  c^-1*d^-1*a^-1*b^-1*c*b*c*a*d*a^-1*c*a^-1*b^-1*c^-1*d*a*c^-1*d*c^-1*a^-1*d^\
-1*b^-1*a^-1*d*a*c*b^-1*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*a*d*a*c*a^-1*b^-1*a*c*d^\
-1*a^-1*d*c^-1*d^-1*b*d*a^-1*d^-1*b^-1*c^-1*a^-1*d*c^-1*b^-1*d*a*d^-1*b*a*b*c\
^-1*b*a^-1*b*c^-1*d*b^-1*d*c^-1*b*a^-1*d^-1*b*c^-1*d*a^-1*b^-1*c^-1*b*c^-1*d^\
-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*c^-1*a^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*d*b^-1*d\
^-1*a*b,
  a^-1*d^-1*(a*d)^2*c^-1*a^-1*b*d^-1*c^-1*a^-1*d^-1*c^-1*a*d^-1*c^-1*a^-1*c*d\
^-1*b^-1*d^-1*a^-1*c*d^-1*b*c^-1*b^-1*c*d^-1*a^-1*b*c^-1*b*a*d^-1*(b*c^-1*d*a\
^-1)^2*b^-1*a*d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*(b^-1*a^-1*d^-1)^2*c^-1*a^-1*d^\
-1*b^-1*a^-1*d*a*d^-1*c^-1*a^-1*c^-1*d^-1*c*d^-1*b^-1*a^-1*d*a*b^-1*a^-1*d^-1\
*a^-1*c^-1*b*d^-1*b^-1*d^-1*c*a^-1*b^-1*d^-1*c^-1*a^-1*c^-1*b^-1*a^-1*d*a*b*c\
^-1*d^-1*b*d^-1*a*c^-1,
  c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^\
-1*d^-1*c^-1*b^-1*c^-1*d^-1*c^-1*b*a^-1*d^-1*a^-1*b^-1*d*a^-1*b^-1*c^-1*b^-1*\
d*b^-1*c*b^-1*c^-1*a*d^-1*a^-1*c^-1*a*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b*a^-\
1*d^-1*a^-1*c*a*b^-1*d*a^-1*b^-1*c^-1*a^-1*d^-1*c^-1*b*a*c^-1*a^-1*d^-1*a*c^-\
1*d^-1*a*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*c^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*\
a*c^-1*d^-1*a^-1*c^-1*d*b^-1*c^-1*b^-1*c*d*a^-1*b,
  d*c^-1*(d^-1*a^-1)^2*d*b*c*b*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*a*d*c^-\
1*b*(d^-1*b^-1)^2*a^-1*b^-1*c^-1*d^-1*a*(b*d^-1)^2*c^-1*b^-1*a^-1*d*c^-1*d^-1\
*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*a^-1*c^-1*d^-1*b^-1*c*a^-1*b*d^-1*a*d*a^-1*(c^-\
1*b*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a)^2*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*(b*d^-1*a^\
-1)^2*b*c*b*c^-1*a*d^-1*a^-1*b^-1*a^-1*c^-1*b^-1,
  a^-1*(c^-1*b^-1)^2*a*b^-1*d^-1*b^-1*d*b^-1*a*c^-1*d^-1*a*b^-1*a*d^-1*a*b*d*\
a*c^-1*d*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*(b^-1*a^-1*d^-1)^2*b^-1*d^-1*a^-1*(d*a^\
-1*b^-1)^2*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*b^-1*(d*a^-1)^2*b^-2*a^-1*d\
^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*(a^-1*d)^2*b^-1*a^-1*d*c^-1*b^-1*\
a^-1*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a\
*b^-1*a^-1*c^-1*a*d*b^-1,
  a*b*d^-1*a^-1*d*b^-1*a*c^-1*b*d^-1*a^-1*c*d*b^-1*a*(b*d^-1)^2*c^-1*b*a^-1*d\
^-1*b^-1*a^-1*c*a*b*d^-1*a*b^-1*d^-1*b^-1*a*d^-1*b*a*c^-1*d^-1*c^-1*b^-1*c^-1\
*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*(b*d^-1)^2*b*a*d^-1*a*b*c^-1*d^-1*c*a*b*a^\
-1*c*a*(d^-1*a^-1)^2*b*a^-1*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a^-1*b^-1\
*a^-1*c^-1*b^-1*c*a^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*b^-1*d^-1*c^-1*b^-\
1*a^-1*d*c*d^-1,
  d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d*c^-1*b^-1*a*b^-1*c^-1*b*d^-1*\
c^-1*d*b^-1*a*d^-1*a^-1*d^-1*c^-1*b^-1*d^-1*a^-1*b^-1*c^-1*a*d^-1*a*b^-1*c*d^\
-1*b^-1*d^-1*a^-1*d^-1*b^-1*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*a^-1*d^-1*\
c^-1*a^-1*d*a*b^-1*a^-1*c*a^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*a*c*b^-1*c*(b^-1*a*\
d^-1)^2*a^-1*d^-1*b^-1*c^-1*a^-1*d*a*d^-1*a^-1*c^-1*a*d*b^-1*d*a*b^-1*a*c^-1*\
a*d*b^-1*d*c^-1*b*a^-1*d*c^-1*b^-1*c,
  c*d*a^-1*c^-1*d*c^-1*a^-1*c^-1*d^-1*c^-1*(b^-1*d)^2*a*c^-1*b*c^-1*d*a*b^-1*\
c^-1*d^-1*b^-1*d*a*c^-1*b^-1*a*d^-1*a*d*b^-1*d^-1*c^-1*a*c*d^-1*a^-1*d^-1*b*a\
^-1*d*a^-1*d^-1*c^-1*d*a*(d^-1*b)^2*a^-1*d*a*b^-1*a^-1*c^-1*d*a^-1*c*a*d*a^-1\
*b^-1*c^-1*d*a*b*c^-1*d*b^-1*d*a*c^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*a\
*d^-1*a^-1*b^-1*c^-1*d*c^-1*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*a^-1*b^-\
1*a^-1*d^-1,
  d*b^-1*a*d^-1*a^-1*d^-1*b^-1*c^-1*d*a^-1*d^-1*a*c^-1*b*a*b*c*a*d*a*c^-1*d^-\
1*c^-1*b*c*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a*b^-1*c^-1*b^-1*d*b^-1*c^-1*d^-1*a\
^-1*c^-1*d^-1*(c*b^-1)^2*d^-1*a^-1*b^-1*c*a^-1*d*b^-1*d*c^-1*b*a^-1*d*b^-1*c^\
-1*b^-1*d^-1*b^-1*c^-1*b^-1*d*b^-1*a*c^-1*a*b^-1*a^-1*d*b^-1*d*c^-1*b*a^-1*d*\
b^-1*c^-1*b^-1*d^-1*c^-1*a^-1*c^-1*b*d*c^-1*d^-1*c^-1*a^-1*c*d^-1*c^-1*b*d^-1\
*b^-1*d*a*b^-1*a^-1*b^-1*c,
  c^-1*b*c^-1*d^-1*b*d^-1*c^-1*a^-1*d^-1*a*c^-1*d*c*a^-1*b^-1*d*b*d^-1*b*a*c*\
d^-1*b^-1*a*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c^-1*a*b*a^-1*d*(a*b^-1\
*d*a*c^-1*d^-1)^2*b^-1*d*b^-1*c^-1*b^-1*a*(b^-1*d^-1)^2*b^-1*a^-1*c^-1*d^-1*a\
*c*b*c*b^-1*a^-1*d*a^-1*b*a*c*b^-1*c^-1*a*d^-1*b^-1*a*c^-1*d^-1*b^-1*d*c^-1*b\
*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a*b^-1*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*c^-1*a*d\
*a^-1,
  a*b*c*d*b^-1*(d*b^-1*a^-1)^2*d*a*c*b^-1*a^-1*d^-1*a^-1*c*d^-1*a*b*d*c^-1*b^\
-1*a*d^-1*c^-1*a*b^-1*c*b^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^2*d^-1*c^-1*a*c^-1*d^-\
1*b^-1*c*d^-1*b*c*b^-1*c*d*a^-1*b^-1*c*d^-1*a*d*a^-1*b^-1*d*a*c^-1*b^-1*c*d^-\
1*a^-1*b^-1*c*d*a*d*a^-1*b^-1*d^-1*b*a^-1*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*a\
*d^-1*c^-1*a^-1*c*d^-1*b^-1*a*d*a^-1*b^-1*a*d^-1*b^-1*a^-1*d^-1*b^-1*d*b^-1*a\
*c^-1,
  a*d*(a^-1*d^-1*b)^2*c^-1*a*b^-1*a^-1*d^-1*c^-1*(b*d^-1)^3*c*a^-1*c*d^-1*c^-\
1*(b*d^-1)^2*b*c*b*a^-1*c^-1*d*a*d^-1*a*c^-1*b^-1*d^-1*a*d^-1*b*a*c^-1*b^-1*(\
c^-1*a*d^-1)^2*c*a^-1*b*d*c^-1*d^-1*c^-1*b^-1*c^-1*a*d^-1*b*a*c*(d^-1*b)^3*d*\
c^-1*b*a^-1*d^-1*b*c^-1*b^-1*d^-1*a^-1*c*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^\
-1*b*d*c^-1*a^-1*c*d^-1*c^-1*b^-1*d^-1*b*d*a^-1*c^-1*d^-1,
  c^-1*a^-1*c^-1*b*a*d*b^-1*a*b*c*d*a*b*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*c*a\
*b*d^-1*c^-1*b^-1*c^-1*a*d*a*b^-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^\
-1*a*d^-1*a^-1*c^-1*a*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*a^-1*d^-1*a^-1*c^-1\
*a^-1*b*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*d^-1*c^-1*a^-1*c^-1*b^-1*a*d*a^-1*c\
*a*d*a*b*d^-1*a*c^-1*d^-1*a*b*d^-1*a*b^-1*c^-1*d*(b*c)^2*a*d*b^-1*a*c^-1*d*b^\
-1*d^-1,
  d^-1*c^-1*b*a^-1*d*a^-1*b*d^-1*c*a*b*a*d^-1*c*d^-1*a*c*a*d^-1*c^-1*b^-1*d^-\
1*b*d^-1*a^-1*c^-1*b*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b*d^-1*b*a^-1*c^-1*b^-1*d^-\
1*a^-1*b^-1*c^-1*d*a^-1*d*a*c^-1*b^-1*d^-1*a*d^-1*c^-1*a*b^-1*a*c^-1*d^-1*b^-\
1*d^-1*c^-1*b*a^-1*d*b*c^-1*b^-1*c*a*b^-1*d^-1*a^-1*d*a*b^-1*a^-1*d*b^-1*d^-1\
*c^-1*b*a^-1*d*b^-1*c^-1*b*d^-1*c^-1*a*(d^-1*a^-1)^2*c*a*d^-1*a*b^-1*c*d*b*d^\
-1*b^-1*c*a^-1*c^-1*b,
  b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*c^-1*a*b^-1*c^-1*b^-1*d^-1*c^-1*a^-1*d*\
a*b*a^-1*b*c*a*d^-1*a^-1*(c^-1*b)^2*a*d^-1*b^-1*c^-1*d^-1*a*c^-1*d*c^-1*(a^-1\
*d^-1*b^-1)^2*a*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d*a^-1*d*c^-1*a*b*c\
*(b^-1*d^-1)^2*c^-1*a*c^-1*b*d*b^-1*d^-1*c*a*c^-1*b^-1*a*d*a*c^-1*b^-1*a^-1*d\
*a^-1*c^-1*d*a*c^-1*b^-1*d*a*b*c^-1*d*b^-1*d*a^-1*b^-1*a*d^-1*a*c^-1*a*d*a^-1\
*b*c^-1,
  d^-1*a*b*c*d*b*d*b^-1*a^-1*b^-1*d*c^-1*a^-1*b^-1*c*b^-1*d^-1*a^-1*d*a^-1*d^\
-1*b^-1*a*b^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*d*a^-1*d^-1*c*b*a^-1*b^-1*c*\
a^-1*c*b*a^-1*d*a*b^-1*d^-1*a*(c^-1*d^-1)^2*c*a*(b^-1*d^-1)^2*c*b*a^-1*d*c*b^\
-1*a^-1*b^-1*c^-1*a^-1*c*b^-1*d*a*b^-1*c*d^-1*b^-1*d*a*b^-1*a^-1*b^-1*a*d^-1*\
c^-1*a^-1*b^-1*d^-1*b^-1*d*a*b^-1*a^-1*d^-1*a*b^-1*(c^-1*d^-1)^2*a*b^-1*c*d^-\
1*b^-1*a^-1*c^-1*b^-1*c,
  d*a*b^-1*c*d*b^-1*d*a*b^-1*d^-1*b^-1*d*c*b^-1*(a^-1*d^-1*c)^2*b^-1*c^-1*b*a\
^-1*c*d^-1*a*b^-1*c*a^-1*d^-1*a^-1*b^-1*a*c^-1*b^-1*c^-1*d*c^-1*a^-1*b*d*a^-1\
*b^-1*d*b^-1*a*c^-1*d*c*(b^-1*d)^2*a*b^-1*a*c^-1*a*d^-1*c*b^-1*d*b^-1*d^-1*a*\
b^-1*a^-1*d^-1*c*b^-1*a^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*a^-1*d*a\
^-1*b*a*c^-1*d^-1*c*b^-1*c^-1*d*b^-1*a^-1*c^-1*(a^-1*d*b^-1)^2*d^-1*c*b^-1*a^\
-1*d^-1*c*b^-1*c^-1,
  b^-1*c^-1*a^-1*b*d*b^-1*a*(b^-1*d)^2*b^-1*c^-1*d*a^-1*c*d^-1*c*a*b^-1*d*b^-\
1*c*d*b^-1*a*d*b*a*c*d^-1*c^-1*b^-1*c*d^-1*b^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^2*a\
^-1*c^-1*b^-1*d*a*d*c^-1*a*b^-1*c^-1*b^-1*d*c*b^-1*a*c*d^-1*b^-1*c^-1*b^-1*d^\
-1*a^-1*d*c^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*b^-1*c^-1*a*c^-1*b^-1*c^-1\
*d^-1*b^-1*d^-1*b*a^-1*b^-1*d^-1*c^-1*b^-1*c^-1*a*b^-1*a*d^-1*b^-1*c^-1*d^-1*\
b^-1*d*a*c*b^-1*c^-1*b*d*a,
  d*c*a^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*b^-1*c*b^-1*a^-1*d*a*b^-1*c^-1*d^-\
1*b^-1*d^-1*a*c*d^-1*b^-1*a*c*d*a*b^-1*d*a^-1*d*a*b^-1*(c^-1*d)^2*a*b*c^-1*d*\
a^-1*c*a^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a*d^-1*a^-1*c^-1\
*b^-1*c^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a*c^-1*d*c^-\
1*a*d^-1*a*b^-1*c^-1*a^-1*d^-1*a^-1*b^-1*d^-1*b*a^-1*(b^-1*c^-1)^2*a*d^-1*b^-\
1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1,
  d^-1*b^-1*a*c^-1*a^-1*d^-1*a*d^-1*a^-1*c*b*d*a*d^-1*b*a*b*d^-1*a*b^-1*c*d*b\
^-1*d*a^-1*b^-1*c^-1*a^-1*c^-1*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*\
c^-1*a*b^-1*a*c^-1*d*a*b^-1*d*a*c^-1*d^-1*c^-1*b^-1*a^-1*c*a*d*a^-1*d*a*c^-1*\
b^-1*a*b^-1*c^-1*a*d*b^-1*d*a^-1*d^-1*c^-1*d^-1*b^-1*a*c^-1*d*c^-1*b^-1*c^-1*\
d^-1*c^-1*a*d^-1*a^-1*c*b^-1*d^-1*a*d^-1*b^-1*a*b^-1*c^-1*d*a*b^-1*c^-1*d^-1*\
b^-1*d*a*b^-1*a^-1*c*a^-1*b^-1*d^-1*c^-1,
  a^-1*b^-1*a^-1*d*b*a^-1*d*a^-1*c*b*a*c*a*d*a*d^-1*a*b*c^-1*d^-1*c*a^-1*(c*d\
^-1*a)^2*c^-1*d^-1*a^-1*c*b^-1*c^-1*b^-1*a*d^-1*c*a^-1*d^-1*a^-1*b*a*c^-1*b^-\
1*c^-1*d^-1*c*a^-1*b*d^-1*a^-1*b^-1*d*a^-1*c^-1*b^-1*d*c*b*a^-1*d^-1*a^-1*b^-\
1*d*a*b*a^-1*c^-1*a^-1*b^-1*d^-1*b^-1*c*d^-1*c^-1*b^-1*a^-1*d^-1*c*a*d*a*b^-1\
*c^-1*a^-1*d^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*c^-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-\
1*a*b^-1*d^-1*a^-1*b^-1*a*d^-1*c^-1,
  c^-1*a*b^-1*c^-1*d^-1*a*d*c*a^-1*d^-1*a^-1*d*b*a^-1*c*a^-1*b^-1*a*d^-1*b^-1\
*d^-1*b*a^-1*d^-1*a*c^-1*b^-1*c^-1*a*b^-1*d^-1*b^-1*a*d^-1*b*a*c*d^-1*c^-1*b^\
-1*c^-1*d^-1*c^-1*d*a*c^-1*b*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1\
*a^-1*b*a*d^-1*b^-1*d^-1*a^-1*d^-1*c*b^-1*d^-1*a*c^-1*b*a^-1*b^-1*d^-1*b*a*d^\
-1*a*c^-1*b^-1*a^-1*d^-1*a^-1*c^-1*d*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1\
*a^-1*b*c^-1*b^-1*d^-1*a^-1*d^-1*b*c^-1*a^-1*b*a^-1*d*a,
  c*a^-1*b*a*c^-1*d*a^-1*c^-1*d^-1*a^-1*b*d^-1*b*a*d^-1*(c^-1*b^-1)^2*d^-1*b^\
-1*a^-1*c*a^-1*b*a*d*c*a^-1*d^-1*b*a^-1*d*a*b*c*b^-1*c^-1*(d^-1*c^-1*b)^2*c*a\
*d^-1*b*a*c*d^-1*b*d*c^-1*b^-1*a*c^-1*(a*d^-1)^2*a*b*c^-1*d^-1*b^-1*d*a*b*a^-\
1*c^-1*b^-1*d^-1*c^-1*b*c^-1*a^-1*d^-1*a*b^-1*d^-1*a*(c*d^-1*a*b^-1)^2*c^-1*d\
^-1*b*(d*a^-1)^2*c^-1*a^-1*d^-1*b^-1*d^-1*b*d*c^-1*b^-1*a^-1*d*c^-1*b^-1,
  c*d*b^-1*d*a*b^-1*a^-1*d^-1*b^-1*a*d*a*b^-1*c*b^-1*a*b*d^-1*b*a^-1*d*c^-1*b\
^-1*c^-1*d*a*c^-1*d^-1*a^-1*b*a*d^-1*a*b^-1*d^-1*c^-1*b^-1*c*a*d^-1*b^-1*a*c^\
-1*(d^-1*b^-1)^2*a*d*a^-1*d^-1*c*a^-1*c*d^-1*c^-1*d^-1*b^-1*d^-1*a*d^-1*c^-1*\
b^-1*a^-1*c^-1*d^-1*c*b^-1*d^-1*c^-1*b^-1*a*d^-1*b^-1*a*c^-1*d^-1*b^-1*d^-1*a\
^-1*b*a*d^-1*c^-1*a*d^-1*a*b*a*d^-1*c^-1*(b^-1*d^-1)^2*a*c^-1*b^-1*d*a*b^-1*c\
^-1*d^-1*b^-1*d^-1*b*a^-1*b^-1*d*a*b^-1,
  a*(c^-1*b)^2*(d*c^-1*a^-1)^2*d*b*a^-1*d*a*b*c^-1*b^-1*d^-1*c*d^-1*b^-1*a*d^\
-1*a*d*c^-1*b^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*b*a^-1*d*\
(a*d^-1)^2*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*b^-1*(a*d)^2*b^-1*a^-1*c*a*\
b*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d*a*d^-1*c*a^-1*c*d^-1*a*b^-1*d^-1*b^-1*d*c^-1\
*b^-1*a^-1*d*c^-1*a*b^-1*a*c^-1*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*c^-1*b^-1*c\
^-1*b*a*b^-1*d^-1*c,
  a*d^-1*b*a^-1*d*a^-1*c^-1*b*a*c*a^-1*d*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d*b*\
d^-1*a^-1*b^-1*a*c^-1*d*c^-1*a*b*a^-1*c*b^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*a*b*a^\
-1*d*a*d^-1*c^-1*b^-1*c^-1*a*c^-1*b*d^-1*c^-1*b*a^-1*c^-1*a*d*a*b^-1*c^-1*b^-\
1*(a^-1*d^-1)^2*b^-1*c^-1*d^-1*a^-1*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d*a^-1*\
c^-1*b^-1*d^-1*a*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a\
*b^-1*a^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*c^-1*b^-1*c*a*b^-1,
  c*a*d*b*c^-1*a^-1*b*d^-1*a^-1*d^-1*b^-1*a^-1*c^-1*d^-1*a*b*c*d^-1*b^-1*c^-1\
*a*b^-1*d^-1*b*d^-1*a^-1*b*d^-1*b^-1*c*b^-1*a*b*d^-1*b^-1*a^-1*d*a^-1*c^-1*b^\
-1*c^-1*a^-1*c^-1*d^-1*b*d^-1*a*b^-1*a^-1*(d^-1*b^-1)^2*(c^-1*d^-1*a^-1)^2*c^\
-1*b*c^-1*b^-1*a*d^-1*c^-1*b^-1*c*b*d^-1*c^-1*a*d^-1*c*d^-1*a^-1*c^-1*a*b^-1*\
a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d*c^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*c*a*c^-1*b^-\
1*c^-1*a^-1*d^-1*b*a^-1*b^-1*c^-1*b^-1*d^-1*b^-1*c^-1*b^-1*a^-1*d^-1,
  b^-1*a^-1*d*b^-1*d*b*c*d^-1*c^-1*a*c^-1*d*b*c^-1*d^-1*a^-1*c^-1*d^-1*c*b^-1\
*c^-1*b^-1*d^-1*c^-1*b^-1*c^-1*a^-1*d*c*d^-1*b*a^-1*b^-1*d^-1*c^-1*b^-1*d^-1*\
a^-1*c*d^-1*a*c^-1*a*b^-1*a*d^-1*b^-1*a*c^-1*b^-1*d*a*c^-1*a*b*d*(a*c*d^-1)^2\
*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*c^-1*a^-1*b^-1*a^-1*d*a*c*a*b*a^-1*c^-1*d^-1*c*\
a^-1*c*d^-1*a*d^-1*c*b^-1*a^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1*c^-1*a^-1*d*a^-1*c*\
b*a*d^-1*c*b^-1*c^-1*d^-1*a*d^-1*c*b^-1*a,
  c*d^-1*c^-1*a*b*c*b*d*b^-1*d^-1*a^-1*d*a^-1*d^-1*a^-1*b^-1*a^-1*d^-1*b*d^-1\
*c*b*a^-1*d^-1*b^-1*a*d*a*b*a*d*a*b^-1*a^-1*d^-1*a*c^-1*a^-1*b^-1*d*a^-1*c^-1\
*b*c*d^-1*c^-1*b*c*b*d^-1*a*b^-1*c*d*b^-1*d*c^-1*b^-1*c^-1*a^-1*c*b*a*d*a*b^-\
1*d*c*d^-1*a^-1*d*b^-1*d^-1*a^-1*d*a^-1*d^-1*c^-1*a^-1*d*a*b*a^-1*c^-1*b^-1*a\
*d^-1*a^-1*d*a*b*a^-1*d*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*c^-1*a*d*a^-1*d*c^-1*b^-\
1*d*a^-1*b^-1*a*d*a^-1,
  d*a^-1*d^-1*b^-1*c^-1*b^-1*c*d^-1*a*b^-1*c*d*b^-1*d^-1*a*b*d^-1*c^-1*a^-1*d\
^-1*b*a^-1*d^-1*b^-1*c*b^-1*a*c*d^-1*b^-1*c^-1*d*a*(d*a^-1*c^-1)^2*b^-1*d^-1*\
c*a^-1*c*d*c^-1*(b^-1*d^-1)^2*b*a^-1*b^-1*c^-1*b^-1*(d^-1*b^-1*a)^2*c^-1*d^-1\
*c^-1*b^-1*c^-1*a^-1*c*b^-1*c^-1*d*a*c^-1*b^-1*a^-1*d*a^-1*c*b^-1*d^-1*c^-1*b\
^-1*a^-1*d^-1*b*a^-1*d*a^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^\
-1*d*a*b^-1*c^-1*d^-1*b^-1*c*a^-1*(b^-1*d^-1)^2*c*b^-1*c^-1,
  d*b^-1*d*c*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*b^-1*c*a^-1*c*b^-1*d^-1*a*c^-1*d\
*a^-1*d^-1*b*a*d^-1*a^-1*d^-1*b^-1*c^-1*a^-1*c*d*a*c*d^-1*b*d^-1*c*b^-1*a^-1*\
d^-1*b*a*c^-1*b^-1*d^-1*c^-1*a*c*b^-1*c^-1*a^-1*b^-1*d^-1*c^-1*a*d*a*c^-1*b^-\
1*a^-1*d^-1*a^-1*c^-1*a*b*d*a*c^-1*d^-1*a*d^-1*c*b^-1*c^-1*d^-1*c*(a^-1*b^-1*\
d^-1)^2*b^-1*d^-1*a^-1*b^-1*a*d^-1*c*b^-1*c*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d*a^\
-1*d^-1*c*d*a^-1*b^-1*c^-1*b^-1*a*d^-1*c^-1*a*b^-1*c^-1,
  a*b^-1*d^-1*b^-1*d*c*b^-1*a^-1*d*b^-1*a*c^-1*a*d^-1*a^-1*c*b*c*d*b^-1*d*a*b\
*a^-1*c*b^-1*d^-1*c*a*d*c^-1*b^-1*d^-1*b^-1*d*a*c^-1*b^-1*c*a*d^-1*a^-1*b^-1*\
a^-1*(d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*b^-1*a)^2*c^-1*a^-1*d^-1*b^-1*(c^-1*d)^\
2*b^-1*a*c^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d*a*b^-1*c*d*b^-1*d*a*b*c*a^-1*d*a*c^-\
1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b*c^-1*b^-1*d*a^-1*(c^-1*b)^2*a*d*c^-1*a^-1*\
d^-1,
  d^-1*a*d*a^-1*d^-1*a^-1*c^-1*b*a^-1*d*b^-1*d^-1*c*a^-1*b^-1*d^-1*a^-1*c*b^-\
1*c^-1*d^-1*c*b^-1*c*a^-1*d*b^-1*d^-1*c^-1*b*c*a*d^-1*a^-1*c*d*b^-1*a*d*a^-1*\
b^-1*a^-1*c^-1*b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b*c^-1*b*d^-1*a*b*c^-1*\
a*c^-1*d^-1*c*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*b^-1*c^-1*b*a^-1\
*d^-1*c*a^-1*d^-1*b^-1*c^-1*b*a^-1*d*b^-1*d^-1*a*b^-1*d^-1*c*a*b^-1*d*b^-1*d^\
-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*c^-1*a*d*b^-1*d^-1*c^-1*b*a^-1*d^-1*c*a*b^-1,
  a*d^-1*a*c*b^-1*d^-1*a*d^-1*a^-1*c*b^-1*d*c^-1*b^-1*a^-1*d*a^-1*b^-1*d^-1*b\
^-1*a^-1*c*d^-1*c*b^-1*c*d^-1*a^-1*d^-1*c^-1*a*c^-1*d*a*b*d^-1*c^-1*b^-1*a^-1\
*d^-1*c^-1*b^-1*c*b*d^-1*c^-1*b^-1*c^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a*b^-1\
*a^-1*d*a*b^-1*d^-1*a*c^-1*d^-1*a^-1*d^-1*c^-1*(b^-1*d^-1)^2*(b*c^-1)^2*a^-1*\
b^-1*d^-1*a*b^-1*c^-1*d^-1*a^-1*d^-1*c^-1*b^-1*a*b*d^-1*c^-1*b^-1*d^-1*a^-1*b\
^-1*a*c^-1*b^-1*c*d^-1*a^-1*d*a*c^-1*d^-1*c^-1*a^-1*b*c^-1*a*b^-1*d^-1*a^-1*d
    ,
  (d^-1*a^-1)^2*d^-1*a*b^-1*c^-1*b*a*d*a*c*d^-1*a*d*a*c^-1*a*d^-1*a^-1*d^-1*c\
^-1*a*d*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b*d*c^-1*a*d*a*b^-1*c^-1*a^-1*d^-\
1*a^-1*b^-1*d^-1*b^-1*a*c^-1*a^-1*d*c^-1*a*d*a*b^-1*c^-1*a^-1*d^-1*a^-1*b^-1*\
d*a*d^-1*a*c^-1*a^-1*b^-1*a*d*a*c^-1*b*a^-1*d^-1*a^-1*c^-1*d^-1*b*c^-1*a*b^-1\
*a^-1*d*a*c^-1*a^-1*b*a^-1*c^-1*d^-1*c^-1*d*b^-1*a*c^-1*(d^-1*b^-1)^2*a^-1*d*\
c^-1*d^-1*c^-1*a^-1*c*b^-1*a*d^-1*b^-1*c^-1*a^-1*b,
  c*b*d^-1*b^-1*d*a^-1*c^-1*b*d*b^-1*c*d*a^-1*b*c*b^-1*a^-1*d^-1*c^-1*b*c^-1*\
d^-1*c*a^-1*b*d^-1*a^-1*b^-1*d*b^-1*a*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*\
a*b^-1*a*c*a*d^-1*c*a*b^-1*(c^-1*b^-1*c*d^-1*a*b^-1*c*d^-1*b^-1*d*b^-1*a^-1)^\
2*b^-1*c^-1*d^-1*b^-1*c^-1*a^-1*d^-1*a^-1*b^-1*a*d^-1*a^-1*c^-1*b^-1*a*d*b^-1\
*d^-1*a*b^-1*c*d^-1*b^-1*d*a^-1*d*b^-1*a*c^-1*b^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^\
2*a^-1*b^-1*c*d^-1,
  d*b*d^-1*c^-1*b*a^-1*d^-1*a*c^-1*a*d*a^-1*d*b*c^-1*a*b^-1*d^-1*c^-1*b^-1*d*\
a*b^-1*c*d^-1*b^-1*d^-1*a^-1*c^-1*a*b^-1*a^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*c^\
-1*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*c*a*b^-1*d^-1*b^-1*c^-1*d^-1*b*c^-1*a^-1*b*a\
*d^-1*(c^-1*b^-1)^2*d^-1*a^-1*c*b*c^-1*a*b^-1*d^-1*a^-1*d^-1*b*c^-1*d^-1*c^-1\
*a^-1*c^-1*d^-1*c*(b^-1*d^-1)^2*a^-1*b*a*c^-1*b^-1*d*a^-1*b^-1*d^-1*c*a^-1*d*\
b*a^-1*d*a*d^-1*c*d^-1*a^-1*d^-1*c^-1*b^-1*a*b^-1*c*(d^-1*b^-1)^2,
  a^-1*d*a*b^-1*c*d*b^-1*d*a*c^-1*a^-1*b^-1*a^-1*c^-1*d^-1*a*b*c^-1*d^-1*b^-1\
*d*a^-1*b*a*d^-1*b^-1*d*c^-1*a*d^-1*b*a^-1*c*b^-1*d^-1*a*d*b^-1*a^-1*b^-1*c^-\
1*b^-1*d*a*b^-1*a^-1*d^-1*b*a^-1*c^-1*d^-1*b^-1*a*b^-1*c*a^-1*b^-1*d*a*b^-1*c\
^-1*d^-1*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d*b^-1*c^-1*\
b^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a^-1*b^-1*a^-1*d^-1*(b^-1*a^-1*c^-1*a\
)^2*d^-1*a*d^-1*c^-1*a^-1*c^-1*b^-1*d*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a*c^-1*a*\
b,
  d*c*b*c*a^-1*b^-1*d*a^-1*d*b*a^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^\
-1*a*d^-1*a*b^-1*c^-1*a*c^-1*b^-1*a*d*a^-1*d*b^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*\
a^-1*d*a^-1*d^-1*a^-1*d*c^-1*a^-1*d^-1*b^-1*a^-1*d*a*b^-1*c^-1*a*d*b^-1*c^-1*\
a*b*a^-1*d^-1*b*c^-1*b^-1*c^-1*a^-1*d*a*d^-1*b^-1*c^-1*a^-1*d*a*b^-1*a^-1*d*a\
^-1*b*d^-1*c^-1*d^-1*a*b*c^-1*d^-1*c^-1*a^-1*c*a*d*c^-1*a^-1*d^-1*b^-1*a^-1*b\
^-1*d^-1*a*c^-1*a^-1*b*d^-1*a^-1*c^-1*a^-1*b*d^-1*a*d*a^-1*b^-1*c^-1*a^-1,
  d^-1*a*c^-1*d^-1*a^-1*b^-1*d*b*d^-1*c*a^-1*b*d^-1*a^-1*c^-1*b*c^-1*d^-1*b^-\
1*a*c^-1*a^-1*d^-1*b^-1*a*b*c^-1*a^-1*d*c*a^-1*b*a*c^-1*a^-1*d^-1*c*a*d^-1*c^\
-1*a*(c^-1*d^-1)^2*b^-1*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a*d^-1*c^-1*a^-1*b*d^-\
1*b^-1*d^-1*a^-1*b*a*c^-1*d^-1*a^-1*b*d^-1*a*d*a*c^-1*b^-1*d^-1*c^-1*a^-1*d*a\
*b*d^-1*a*c^-1*d^-1*a^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*a*b^-1*c^-1*a^-1*b*a\
^-1*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b*c*b*c^-1*a,
  b*a^-1*c^-1*d^-1*a*b^-1*d*a*c^-1*d*c*a^-1*b*c*d^-1*c^-1*b^-1*c^-1*d*c^-1*a^\
-1*b*d*a^-1*b^-1*d*a*c^-1*a^-1*b^-1*a^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1\
*a*b^-1*c^-1*a^-1*b^-1*d^-1*a*d*a*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a\
*c^-1*b^-1*c^-1*d*a*b*a^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1*c^-1\
*a*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d*a^-1*c^-1*b^-1*c*a^-1*d*b^-1*d*\
c*b^-1*a^-1*d*c^-1*d^-1*b*c*a^-1*d*a^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*c^-1*a^-1*\
d^-1*a,
  d^-1*b*d^-1*b^-1*c^-1*d*a^-1*c*a^-1*d*c^-1*d^-1*c^-1*b^-1*c*a^-1*c^-1*d^-1*\
c^-1*(b^-1*d^-1)^2*b^-1*a^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*d^-1*a*b^-1*c^-1\
*(d^-1*b^-1)^2*a^-1*b^-1*d^-1*c^-1*a^-1*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^\
-1*a^-1*d^-1*b^-1*a^-1*b^-1*c^-1*a*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c^-1*b^-\
1*d^-1*a*c^-1*a^-1*b^-1*a^-1*d*c^-1*a*b^-1*a^-1*b^-1*a*d^-1*c^-1*d^-1*b^-1*a^\
-1*c*a*b^-1*a^-1*b^-1*c*b*a^-1*d*c*d^-1*b^-1*a*c*(d^-1*b^-1)^2*c^-1*a^-1*(c*d\
^-1)^2*a^-1*d^-1*c^-1*b^-1*a^-1*b,
  d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*b*d*b^-1*a^-1*d^-1*b^-1*d*c^-1*b^-1*\
a^-1*d^-1*a*d*a^-1*b^-1*c^-1*a*b^-1*a^-1*d*a*d^-1*c^-1*a^-1*d*a*b^-1*a^-1*d^-\
1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*b^-1*a^-1*d*c*a^-1*d*b*a^\
-1*c^-1*a*d^-1*a*b^-1*c^-1*a^-1*d*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d*a*d^-1*c\
^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a^-1*d^-1*b^-\
1*d*a*b^-1*c*d^-1*b^-1*d^-1*c^-1*a*c^-1*b*c^-1*d^-1*c^-1*a^-1*b^-1*c^-1*d^-1*\
a*b^-1*c*d^-1*b^-1*d^-1*a*c*a,
  b^-1*a^-1*d*a^-1*b^-1*d*a^-1*c*a^-1*b*a^-1*d^-1*b*c^-1*d^-1*b*d^-1*a^-1*b^-\
1*d^-1*a*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*a*c^-1*a*d^-1*a^-1*b*a*c^-1*b^-1*\
d^-1*a^-1*d^-1*b^-1*c*d^-1*a*(d^-1*b^-1)^2*d*a*c^-1*d^-1*a*d^-1*c^-1*b^-1*c*d\
^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*b*a*d^-1*c^-1*b^-1*a^-1*c^-1*d^-1*c*b^-1*c^-1*a\
*d^-1*b*a*c*(d^-1*b^-1)^2*d^-1*a^-1*b^-1*c*b^-1*c^-1*d^-1*a*c^-1*d^-1*b^-1*d^\
-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*(b^-1*d^-1)^2*a*d^-1*a*c^-1*d^-1*c*b^-1*d^-1*c^\
-1*b^-1*c*a,
  d^-1*b*a^-1*d*a*b*d*a^-1*c*a^-1*d*a^-1*c^-1*d*a*d^-1*a^-1*d*c*b^-1*a*b*d^-1\
*a^-1*b*a^-1*d^-1*b^-1*d^-1*b*c^-1*d^-1*a^-1*c*b*c^-1*b*d^-1*a*b*c^-1*d^-1*b^\
-1*(d^-1*b)^2*a^-1*d^-1*b^-1*d^-1*b*c^-1*d^-1*a^-1*c^-1*d^-1*b*a*b^-1*c^-1*b^\
-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*(c^-1*b^-1)^2*a^-1*d*a^-1*b^-1*a^-1*d\
^-1*b^-1*d^-1*b*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c^-1*d^-1*a^-1*b*c^-1*b*c*a*d^-\
1*c^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*a^-1*d*a^-1*c^-1*d^-1*b\
^-1*a^-1*b^-1*a*c^-1*b^-1,
  d^-1*a*(c^-1*b)^2*a^-1*d*a^-1*d^-1*a*c^-1*d*a*b^-1*c*d^-1*b^-1*d^-1*a^-1*b*\
a*c*b^-1*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d*a*b^-1*c^-1*b^-1*a^-1*c*a^-1*d^-1*b^-\
1*(d^-1*a^-1)^2*b^-1*a*d^-1*b*a^-1*(d^-1*b^-1)^2*a*c*a*b^-1*c^-1*(d^-1*b^-1)^\
2*d^-1*c^-1*a*c^-1*d^-1*a^-1*d^-1*b*d^-1*c*(b^-1*a^-1*d^-1)^2*a^-1*c*a*b^-1*d\
^-1*b*c^-1*b^-1*a*d^-1*c^-1*d*c^-1*a^-1*c^-1*d*c^-1*b^-1*(d^-1*b)^2*a^-1*b^-1\
*d*c^-1*a^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*(d^-1*a^-1)^2*b^-1*d^-1*b^-1*c^-1,
  a^-1*c^-1*b^-1*d^-1*a^-1*c*b^-1*c*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d*b^-1*c^-1*\
b^-1*d^-1*c*d^-1*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*d^-1*a^-1*b^-1*a*d^\
-1*a^-1*c*b^-1*c*a^-1*b^-1*d^-1*a*b*d^-1*a*c*d^-1*a*b^-1*a*d^-1*b^-1*d^-1*c^-\
1*a^-1*b*d^-1*c^-1*b^-1*a^-1*b*d^-1*a^-1*d*c*d^-1*a*c^-1*d*a*d*a^-1*d*(a^-1*d\
^-1*c^-1)^2*a^-1*d^-1*b*a^-1*d*a^-1*c*b^-1*a*b*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a\
*b^-1*c^-1*a^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*b*d^-1*c^-1*a^-1*c^-1*d^-1*c^-1*\
b^-1*d^-1*b,
  (a*b*d)^2*a*c^-1*d*b*d^-1*a^-1*d*c*d*a*c^-1*b*d^-1*b*a*c*b^-1*c^-1*d^-1*a*b\
*c^-1*d^-1*b^-1*d^-1*a*b*c^-1*b^-1*d^-1*b^-1*c*d^-1*c^-1*a*b^-1*c^-1*d^-1*a^-\
1*d^-1*b^-1*d^-1*a*c^-1*d^-1*a*c*b^-1*c*d^-1*c^-1*b*c^-1*a*d*b^-1*a*c*d^-1*b*\
a^-1*d*a^-1*d^-1*a^-1*b*a^-1*c*a^-1*d^-1*(c^-1*b^-1)^2*a*(d^-1*c^-1)^2*b^-1*c\
*d^-1*c*a^-1*b*d^-1*a^-1*b^-1*d^-1*b*a*d*c^-1*b^-1*a^-1*c^-1*a*d*a*b*a^-1*d^-\
1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*d^-1*c^-1*a*c*d^-1*b^-1,
  d*c^-1*a*d^-1*a*b^-1*a*c^-1*d^-1*a^-1*d^-1*b^-1*c*(a*d)^2*a*(b^-1*d)^2*c*b*\
a^-1*d^-1*(b^-1*c^-1)^2*d^-1*b^-1*c^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*b*c^-\
1*a*d^-1*c^-1*b*d*b^-1*a^-1*d*c^-1*a^-1*d^-1*a*d*a^-1*d*a*d^-1*b^-1*c^-1*a*b^\
-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*b^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1*c^-\
1*(d*b^-1)^2*a^-1*d*b^-1*(d*b^-1*c^-1)^2*b*a*c^-1*d^-1*a^-1*c*a*d*c^-1*a^-1*d\
*(b^-1*a^-1*d*a)^2*c^-1*b^-1*a*b^-1*c^-1*a*d*c^-1,
  a*c*d*a*d*b*d*b^-1*a^-1*d^-1*a*c^-1*b^-1*c^-1*d^-1*a^-1*c^-1*(d^-1*c^-1*b^-\
1)^2*a^-1*d^-1*b^-1*d^-1*a^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*d^-1*c^-\
1*b^-1*a^-1*c*a*d^-1*a^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a*c^-1*d^-1*a*(d^-1*b^-1)^\
2*a^-1*d^-1*b*a*c^-1*b^-1*d^-1*a^-1*d^-1*b^-1*c^-1*a^-1*b*a*d^-1*b*d^-1*c^-1*\
b^-1*a^-1*d^-1*a*b*a*c^-1*b^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*c*b^-1*c^-1*a^\
-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*d^-1*a*b^-1*a^-1*c*d^-1*c^-1*b^-\
1*a^-1*c*a*d^-1*a^-1*c*b^-1*a^-1*d^-1*c^-1,
  b^-1*a*d*b^-1*c*b*c*d*c*a*d^-1*c*b^-1*d^-1*a^-1*(b^-1*c^-1)^2*a*d^-1*b^-1*a\
*d*a^-1*b^-1*c^-1*d*a*d^-1*a^-1*b^-1*d^-1*c*b^-1*a*b*c*a*d^-1*a^-1*b^-1*c^-1*\
b^-1*a^-1*c^-1*d^-1*c^-1*(b^-1*d^-1)^2*b*a^-1*b^-1*d^-1*c^-1*b^-1*c^-1*d^-1*b\
^-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a^-1*(d*a)^2*c^-1*b^-1*c^-1\
*a*d*a^-1*c^-1*d^-1*b*a^-1*b^-1*d^-1*c^-1*b^-1*a^-1*b*c^-1*a^-1*d*a^-1*b^-1*a\
*(d^-1*b^-1*a^-1)^2*d*a^-1*b^-1*a*d^-1*b*c^-1*a*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*\
d^-1*a*c^-1,
  c*b^-1*a^-1*d^-1*b*c^-1*d^-1*b^-1*d^-1*a*b^-1*(a*d^-1)^2*b^-1*d*(c^-1*b^-1*\
a^-1*d^-1*b*c^-1*a^-1*d^-1*b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b*c^-1*b^-1*a^-1*\
c^-1*d^-1*a*b*a^-1*(d^-1*b^-1)^2*c^-1*d^-1*a^-1*c^-1*a^-1*d^-1*c*a*d*a^-1*c^-\
1*a^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*b*a^-1*c^-1*a^-1*b^-1*a*b^-1*d^-1*a*b^-1*c^\
-1*d^-1*b^-1*d*a*b^-1*a^-1*b^-1*c^-1*a^-1*d^-1*c^-1*a*b*a^-1*d^-1*b^-1*d^-1*c\
^-1*b^-1*a^-1*d^-1*b^-1*c^-1*(b^-1*d*a)^2*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*b^-1*d\
^-1*c^-1*a^-1*d,
  d*b*c*d^-1*a^-1*b*d*b^-1*d^-1*c^-1*a^-1*b*d^-1*a^-1*c^-1*b^-1*c*a^-1*b*a*d^\
-1*a*c*a^-1*d^-1*b^-1*a^-1*c^-1*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a^-1*b*d^-1\
*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*a*d*b^-1*d^-1*b^-1*(d^-1*c^-1*a^-1*b\
)^2*(a*d)^2*a^-1*c*a*b*a^-1*c^-1*b*d^-1*b^-1*a*d*a^-1*d^-1*c^-1*b^-1*a*d*a^-1\
*b^-1*d^-1*c^-1*b^-1*a*b^-1*d^-1*a*b*d^-1*a*(c^-1*d^-1)^2*c^-1*b^-1*d^-1*a*d^\
-1*a^-1*b^-1*(d*a)^2*(b^-1*c^-1)^2*d^-1*a*d^-1*b^-1*d^-1*a*d*a*c^-1*d^-1*a^-1\
*d^-1*c^-1,
  c*b^-1*c*d*a^-1*d^-1*b*c^-1*a*d*a*b^-1*d^-1*a*c*d^-1*c^-1*a^-1*d^-1*c^-1*b^\
-1*d*a^-1*b*c*b^-1*c^-1*a*d^-1*a^-1*b*a*d^-1*a^-1*c*(b^-1*c^-1*d^-1)^2*a^-1*b\
*c^-1*a^-1*c*d^-1*c^-1*a^-1*(b^-1*d^-1)^2*a*c^-1*b^-1*c^-1*d^-1*c^-1*b^-1*c^-\
1*a*d^-1*b^-1*a*c^-1*(d^-1*b^-1)^2*d^-1*a^-1*b^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*\
b^-1*(a^-1*d^-1)^2*(b^-1*d^-1)^2*c*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*\
d*a*b^-1*c^-1*d^-1*c^-1*a^-1*b^-1*a*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b^-1*a*\
d^-1*a^-1*c^-1*a^-1*d^-1*c^-1*a*d,
  d*b*c*d^-1*c*b^-1*c^-1*d^-1*c*a^-1*b^-1*d^-1*c^-1*b*a*c*d^-1*a^-1*d^-1*a*d^\
-1*b*d^-1*c^-1*b*a^-1*d^-1*c^-1*b*a*c*d^-1*a*c^-1*a^-1*b*a^-1*d^-1*c^-1*a^-1*\
b^-1*d^-1*b^-1*d*a*b^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*d^-1*c*a*d*a*b\
^-1*c^-1*a^-1*(d^-1*b^-1)^2*c^-1*b^-1*a^-1*c*a*b*a^-1*d^-1*b*d^-1*c^-1*b^-1*a\
^-1*d^-1*a*c^-1*d^-1*a^-1*d^-1*c^-1*b^-1*a*d^-1*b*c^-1*d^-1*a^-1*c^-1*d^-1*c^\
-1*b*c*b*d^-1*a^-1*b^-1*c^-1*b^-1*a*d^-1*c^-1*b*c*b*a*b^-1*d^-1*b^-1*c^-1*b^-\
1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b,
  b^-1*a^-1*d*b^-1*d*c*b^-1*a^-1*d*a^-1*b*c^-1*b*c*(a^-1*d)^2*b*c^-1*a*b*d^-1\
*a*d*b^-1*a^-1*c*a*d^-1*a*c*b^-1*c*b*a^-1*d^-1*a^-1*c^-1*a*b*d*a^-1*b^-1*(d^-\
1*a^-1)^2*b*a*d*b^-1*d^-1*c*b^-1*a^-1*d*a^-1*b^-1*c^-1*b^-1*a^-1*d*a*b^-1*c*(\
d*b^-1)^2*a*d*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c*a*d*a*b^-1*d^-1*a*c^-1*(d*a*b^-1\
)^2*c^-1*d*b^-1*d*a*b^-1*c*a^-1*b^-1*a*d^-1*a*c*b^-1*a^-1*d*a^-1*c^-1*d^-1*a*\
c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d*a^-1*b^-1*a*d,
  d^-1*a*b*c^-1*d^-1*b*d^-1*a*b*a^-1*d^-1*c*b*c^-1*a*c^-1*b^-1*d*a*b^-1*c^-1*\
d^-1*b^-1*d*a*b^-1*a^-1*c^-1*a*b*d^-1*a*b*c^-1*d^-1*b^-1*d*a*c*b^-1*a^-1*d*a*\
b*d^-1*a*c^-1*d*a*b*d^-1*a*b*c^-1*d*b^-1*d*a*b*a^-1*c*a*b*c^-1*b*d^-1*a*b*c^-\
1*(d*b^-1)^2*d*c*b^-1*d^-1*a*b*c^-1*d*b^-1*a^-1*d*c*a^-1*d*a*d^-1*a*c^-1*b^-1\
*d^-1*a*b*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*a*b^-1*d^-1*c^-1*a*d^-1*a*b*c^-1*a^-\
1*d^-1*c*a*d^-1*b^-1*a^-1*d^-1*b^-1*c^-1*d*a^-1*b^-1*c^-1*b^-1*a^-1,
  d^-1*b*d^-1*c*a^-1*d*c*a*b^-1*a*c^-1*a*d^-1*a*b*d*a*c*d^-1*b*c^-1*b^-1*d^-1\
*a^-1*b*a*d^-1*c^-1*a^-1*d*a^-1*c^-1*a^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a*c^-1*b^-\
1*a^-1*d*a*b^-1*c*d^-1*b^-1*d*a*b*(a^-1*d)^2*a^-1*c^-1*a*b^-1*d^-1*b^-1*d*a*d\
^-1*b*a*c^-1*b^-1*c^-1*(a^-1*d^-1*b^-1)^2*d^-1*c^-1*b^-1*a^-1*d*a^-1*c^-1*a*b\
^-1*c*d*a*b^-1*c*d^-1*b^-1*d*b*a^-1*b^-1*d^-1*(b^-1*c^-1)^2*d^-1*a*b^-1*c*(d^\
-1*b^-1)^2*c*b^-1*a*b^-1*c*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*d^-1*c^-1*a^-1*c*d^\
-1*c*b^-1,
  d^-1*a*c^-1*b^-1*c^-1*a*d*b*d^-1*c*b^-1*a^-1*d*a*d^-1*c^-1*(a^-1*d*b^-1)^2*\
a^-1*b^-1*c^-1*a*d^-1*b^-1*c*a^-1*d^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b\
*c^-1*b^-1*d*a*c^-1*d^-1*b*a^-1*b^-1*d^-1*c*a*b*c^-1*b^-1*d^-1*c*b^-1*c^-1*b^\
-1*d^-1*b*a*d^-1*b^-1*a^-1*d^-1*b*d^-1*c*b^-1*a^-1*d*a*d^-1*a*c^-1*b^-1*d*a^-\
1*b^-1*d^-1*b^-1*a*b^-1*d^-1*b*d^-1*c*b^-1*a^-1*d^-1*c*b^-1*c^-1*b^-1*d*a*b^-\
1*c^-1*d^-1*b*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b*d*a^-1*b^-1*d^-1*a*c^-1*a^-1*c*b\
^-1*a^-1*b^-1*d^-1*b*d^-1*c^-1*a^-1*d^-1*c^-1,
  a*d^-1*a^-1*c^-1*b*c*(d^-1*b)^2*a*b*d^-1*a*c^-1*a*d^-1*a^-1*(c*b)^2*a*d^-1*\
b^-1*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*a*c*d^-1*c^-1*a^-1*d^-1*b^-1*c^-1*a*c*b^-1*\
d^-1*a*d*b^-1*a*c^-1*b^-1*c^-1*a^-1*d^-1*c*b*c*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d\
*a*b^-1*a^-1*b^-1*d^-1*a^-1*c*b^-1*c^-1*a^-1*d*b^-1*a^-1*d^-1*a*b*c^-1*d^-1*b\
^-1*c^-1*a*b^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a*b*c^-1*b^-1*d*b^-1*d\
^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*d*a^-1*c*a*c^-1*b^-1*d*a*b*c^-1*(d^-1*b^-1)^2*\
a^-1*c^-1*d^-1*b*c^-1*a^-1*b,
  d*b*a*d*a*b^-1*(c^-1*d^-1)^2*c*a*(b^-1*d^-1)^2*a*b*d*b^-1*c*a^-1*c*d^-1*b*d\
^-1*c*a^-1*b*d^-1*a^-1*c*b*c^-1*a^-1*b^-1*a*d^-1*c^-1*b*a^-1*d^-1*c*a^-1*d*b^\
-1*a^-1*d^-1*b^-1*a^-1*c^-1*b*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b^-1*d^-1*c^-1*a\
^-1*d^-1*b^-1*a^-1*d*a*c^-1*b^-1*c*d^-1*a*b^-1*c*d^-1*c^-1*a^-1*c^-1*d^-1*a*c\
^-1*d^-1*b^-1*a^-1*d*a^-1*c^-1*b^-1*c^-1*a^-1*c^-1*d^-1*a*c^-1*a^-1*d^-1*c^-1\
*a^-1*c^-1*b^-1*a*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*c^-1*b^-1*a*b^-1*c*a\
*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a^-1*b^-1,
  a*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*c*a*b^-1*d^-1*a^-1*(c^-1*b)^2*a*d^-1*a^-1*b^\
-1*d^-1*c*a^-1*(b^-1*d^-1)^2*a*b^-1*d*a*b*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d*a*d^\
-1*c*a^-1*c*d^-1*b*d^-1*b^-1*(d^-1*b*a)^2*c*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*c*b\
*c^-1*d^-1*a*b*c^-1*(d^-1*b^-1)^2*a*b*c^-1*b^-1*d^-1*b^-1*c^-1*d*a^-1*b^-1*a^\
-1*d*b^-1*d^-1*b^-1*a*c^-1*d^-1*c^-1*a^-1*b*c^-1*d*b^-1*a*d^-1*a*c^-1*b^-1*a^\
-1*d^-1*c*a*b^-1*c^-1*a^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*a*c^-1*b^-1*c*d^\
-1*a*c^-1*d*a*c^-1*d^-1,
  a^-1*b*d*b^-1*d^-1*c*a^-1*b*d^-1*a^-1*c^-1*b^-1*c^-1*d*b^-1*(d^-1*a^-1)^2*b\
^-1*d^-1*a^-1*d^-1*a*c^-1*b*d^-1*b^-1*a^-1*d^-1*c*a^-1*d*b^-1*a*d^-1*b^-1*d*c\
*b*a^-1*b^-1*c*a^-1*c*d^-1*c^-1*d^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*c^-1*b^-1*\
(a^-1*d^-1)^2*b^-1*a*d^-1*c^-1*b^-1*a^-1*d^-1*c*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*\
d^-1*c^-1*b^-1*c^-1*(a*d)^3*b^-1*a*d^-1*a*b^-1*a^-1*d^-1*a^-1*b^-1*d*b^-1*a^-\
1*c^-1*b^-1*a*c^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*a*b*d^-1*a^-1*d*a^-1*\
c^-1*b^-1*d^-1*a*b^-1*c^-1*(d*b^-1)^2*a^-1*b^-1*d^-1*c,
  d^-1*a*c*d^-1*c^-1*a^-1*d^-1*c^-1*b*d^-1*a^-1*c*b^-1*c*b*a*d*b^-1*a*b*d^-1*\
b^-1*d^-1*b*(c^-1*d^-1)^2*b*a^-1*d*a*d^-1*c*a^-1*c^-1*d^-1*c^-1*a^-1*d^-1*a*b\
*c^-1*a^-1*d^-1*a^-1*d*b^-1*c^-1*b^-1*a^-1*c*d^-1*b^-1*c^-1*b^-1*a^-1*d*b^-1*\
a^-1*d^-1*c^-1*b*c^-1*a^-1*c^-1*d^-1*c*a*d*a*b^-1*d^-1*a*c*d^-1*a*b*c^-1*a^-1\
*d*a^-1*b^-1*a^-1*d*b*d^-1*c^-1*b^-1*a^-1*d^-1*c*b*c^-1*b*a^-1*b^-1*d^-1*c^-1\
*b^-1*a*d*a*c^-1*b^-1*a^-1*d*a^-1*c*d^-1*a^-1*b^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1\
*(a^-1*d)^2*a*c^-1*a^-1*b^-1*a^-1*c^-1*a,
  a^-1*b*a*d^-1*a*b^-1*c^-1*b*d*a*b^-1*c*d*b^-1*d*b*a^-1*d^-1*b^-1*d^-1*a^-1*\
c^-1*b^-1*d*a*d^-1*a^-1*b^-1*d*b^-1*c^-1*d^-1*a^-1*c^-1*d^-1*b^-1*c*b^-1*c^-1\
*d^-1*a^-1*d^-1*a*c*b^-1*c^-1*b^-1*d^-1*b^-1*c^-1*b^-1*a*d^-1*b^-1*d^-1*a^-1*\
d^-1*c^-1*b^-1*c*d^-1*a^-1*d*c^-1*(d^-1*a^-1)^2*b^-1*c^-1*d^-1*b^-1*c^-1*b*d^\
-1*a*b^-1*c^-1*d^-1*b^-1*d*c^-1*a*c^-1*b^-1*c*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*d\
^-1*c^-1*b^-1*c^-1*b*d^-1*a^-1*d*a*c^-1*(b^-1*c^-1*b*d^-1)^2*a*b^-1*c*d^-1*b^\
-1*d*b^-1*c*a^-1*b*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d*b^-1*d,
  d*c^-1*d^-1*b*d^-1*a*c^-1*a*d^-1*c^-1*(b*d^-1)^2*a*b*d*a^-1*b*a*d^-1*b^-1*a\
^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b*c^-1*d^-1*b*c^-1*b^-1*a*d^-1*b*\
c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*d^-1*a^-1*c^-1*b^-1*c^-1*a^-1*d*b^-1\
*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a*d^-1*b^-1*a*c^-1*d*b*d*a*c^-1*b*a*b*d^-1*a*b\
*c^-1*(d^-1*b)^2*c^-1*a*c^-1*b^-1*a*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c*b*a*\
d*a*c^-1*b*d^-1*a^-1*d*a^-1*c^-1*(d^-1*b)^2*a*d^-1*b^-1*a*c^-1*d^-1*b*c^-1*d*\
a*b*c^-1*d^-1*b*d^-1*a*b,
  c^-1*b*d^-1*b*c*b*a^-1*c^-1*a*b*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b*c*b*\
d^-1*c^-1*d^-1*c*a^-1*d^-1*b^-1*a^-1*d*a^-1*c^-1*d*a*b^-1*c^-1*b*d^-1*b^-1*a^\
-1*d*a^-1*b*a*c^-1*(b^-1*d^-1)^2*c^-1*b*a^-1*d^-1*b^-1*a^-1*c^-1*d*b^-1*c^-1*\
b*a^-1*(d^-1*b^-1)^2*a*d^-1*b*a*c^-1*d*c^-1*b^-1*c^-1*d^-1*b^-1*c^-1*d*a*b^-1\
*c^-1*d^-1*b^-1*d^-1*b*a^-1*b^-1*d^-1*c^-1*a*c^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*b\
^-1*a*b*d^-1*b^-1*d*c^-1*a^-1*b^-1*d^-1*c*a*b*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a\
*b^-1*c^-1*d^-1*b^-1*d^-1*b*a*b*c^-1*b*c*a*d,
  b*c*d*b^-1*d*c*b^-1*c^-1*a*b*d*b^-1*a*d^-1*b*a*c*d*c^-1*b^-1*c^-1*d^-1*a*b^\
-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d^-1*a*b^-1*d^-1*a*c^-1*d^-1*a*b\
^-1*a*d*a^-1*d^2*a^-1*c^-1*b^-1*d*a*d*b^-1*a*b*c^-1*a^-1*c^-1*d^-1*a^-1*b*c*b\
*c^-1*a*d^-1*c^-1*d^-1*b^-1*c^-1*a^-1*b^-1*d*a^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*\
d^-1*b^-1*d*a*b^-1*c^-1*b^-1*a*b^-1*d*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1\
*a*b^-1*a^-1*c^-1*a^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*c^-1*a^-\
1*d^-1*a^-1*c*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*a*c^-1*b^-1*a,
  c^-1*b*c*d^-1*a*b*a^-1*d*b*d^-1*c*b^-1*a^-1*d^-1*b*c^-1*b^-1*d*c^-1*b*a*c*a\
^-1*d^-1*a^-1*b*c*b^-1*c^-1*a*d*a^-1*c^-1*b^-1*c^-1*a^-1*b^-1*a^-1*d*c*d^-1*a\
^-1*b^-1*c^-1*d^-1*a*d^-1*a^-1*b*d^-1*b^-1*a*c^-1*d^-1*c*b^-1*d^-1*b^-1*c^-1*\
a^-1*c^-1*d^-1*a^-1*b*c^-1*a^-1*c*d^-1*b^-1*d*a*b*c^-1*d^-1*b^-1*d*a*c*b^-1*a\
*d*a^-1*d^-1*b*c^-1*(b^-1*a^-1*d^-1)^2*b^-1*d^-1*c^-1*b^-1*a^-1*d*a^-1*c*b^-1\
*d^-1*a*d^-1*b^-1*c^-1*b^-1*a^-1*b^-1*d^-1*a^-1*c*a*c*b^-1*d^-1*a*d^-1*b*a*c^\
-1*b^-1*c^-1*d^-1*a^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d*a,
  b*a^-1*d^-1*a*b*c*a*c*(d*a)^2*d*c*a^-1*d^-1*b*a^-1*d^-1*a*d^-1*c^-1*a*c*d^-\
1*a*d*a*b^-1*d^-1*a*c*d^-1*c^-1*a*b^-1*c^-1*b^-1*a^-1*d^-1*a*b*d^-1*c*a^-1*d*\
a*b*d*a*c*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c*b^-1*d^-1*c^-1*b*c*b*d^-1*a*\
b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a*d^-1*b^-1*c^-1*a^-1*d*a*b^-1*a^-1*d^-1*b^-1*d\
*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1\
*c*b^-1*(d*a)^2*d*a^-1*c^-1*b^-1*c*d^-1*a^-1*d*a^-1*d^-1*b^-1*c*b^-1*d*a*b^-1\
*c^-1*d^-1*b*d^-1*a^-1*b*a*c*a*d^-1,
  c*d*a^-1*c^-1*d*c*b*d^-1*a^-1*c^-1*a*d^-1*c^-1*d^-1*c*a^-1*b^-1*c*d^-1*b*d^\
-1*a^-1*b*a*d^-1*a^-1*c^-1*b*d^-1*a^-1*b*a*d^-1*a*b^-1*d*a^-1*b^-1*a*d^-1*b^-\
1*d*c*a^-1*b*d^-1*a^-1*c^-1*b^-1*c^-1*d*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d^-1*b^-\
1*d*b^-1*d^-1*b^-1*d*c^-1*b*a^-1*d^-1*b^-1*c^-1*b*a*b*c^-1*d^-1*c^-1*b*a*d^-1\
*a*c^-1*a*b^-1*d*c^-1*a^-1*b^-1*d*a^-1*c^-1*b^-1*c^-1*d*c^-1*a*d*a*d^-1*c*a^-\
1*c*d^-1*b^-1*d^-1*c^-1*a^-1*b*d^-1*a*(d*b^-1)^2*a^-1*d^-1*a*c^-1*b*c^-1*d^-1\
*a*b^-1*c^-1*d^-1*b^-1*d*a*d^-1*c^-1*b^-1*c^-1*a^-1*c*a,
  a^-1*(b*a*c^-1*d^-1)^2*b*d^-1*b*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*b*c^-1*a^-1\
*c*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b*c*b^-1*d^-1*a*b^-1*a^-1*c*a*b^-1*a^-1*d^\
-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b*a^-1*c^-1*d^-1*b*c^-1*d*a^-1*b*c^-1*b^-1*c^-1*\
d^-1*b^-1*c^-1*(b^-1*a^-1*d^-1)^2*b^-1*d^-1*c^-1*b*a^-1*d^-1*c^-1*b^-1*d^-1*a\
*b^-1*c^-1*d^-1*b^-1*d^-1*b*a^-1*b^-1*d^-1*a*c^-1*b^-1*a^-1*d*a*(b^-1*d^-1)^2\
*a^-1*d^-1*c^-1*a*b^-1*c*b*a^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*a*b*d^-1*a^-1*b*\
a*d^-1*b^-1*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*(b^-1*c^-1)^2*d^-1,
  d^-1*c*a^-1*d*b^-1*a^-1*d*c*b^-1*d^-1*a^-1*c^-1*a*d*a^-1*b^-1*c*a^-1*d*a*b^\
-1*d*a*c*d^-1*a*d^-1*c^-1*a^-1*b^-1*d^-1*a*b*d^-1*c^-1*(b^-1*a^-1*d)^2*b^-1*a\
*d^-1*c*a^-1*b^-1*d^-1*b*d^-1*a^-1*b*a^-1*(d^-1*b*a)^2*c*d^-1*c*b^-1*c^-1*d^-\
1*a*c^-1*b^-1*a^-1*d^-1*c^-1*a*c^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a*b*c^-1*b^\
-1*d^-1*a*b*c*(d^-1*b^-1)^2*d^-1*c^-1*b^-1*d^-1*a^-1*b*d^-1*c^-1*a^-1*b^-1*a*\
d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a^-1*c^-1*b^-1*d^-1*b*c^-1*b\
*c*a^-1*c^-1*d^-1*b^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*b^-1*c,
  a^-1*c^-1*a*b^-1*a^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b^-1*c^-1*a*c^-1*b*c*d*a\
*c*b^-1*a*d^-1*(b*c)^2*d*a*b^-1*c*d*b^-1*d*a*b^-1*c^-1*a^-1*b^-1*a*d^-1*c^-1*\
a^-1*d*a*b^-1*c^-1*(d*b^-1)^2*a*d*a*c*b^-1*a^-1*d*a^-1*c*d^-1*a*c^-1*b^-1*d^-\
1*c^-1*a^-1*d*b^-1*a^-1*d^-1*c^-1*b^-1*(a*d)^2*a^-1*b*d^-1*b^-1*c*b^-1*d*a*b^\
-1*c*d^-1*b^-1*d*b^-1*a*d*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*d^-1*a*b^-1*c*b^-\
1*d*b^-1*a^-1*d^-1*a*b^-1*c*b^-1*d*a*d*b^-1*c^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d\
*a*b*a*d*a*d^-1*b^-1*c*b^-1,
  b*d^-1*c^-1*b^-1*c^-1*a*d^-1*c^-1*a^-1*d*c^-1*b^-1*a^-1*d*b*d^-1*c^-1*(b^-1\
*a^-1*d^-1)^2*b^-1*a*d^-1*c*a^-1*b*d^-1*b^-1*c^-1*a*b^-1*c^-1*(b^-1*d^-1)^2*c\
*a^-1*d*a*d*c^-1*(b^-1*d^-1)^2*a*b^-1*a*d^-1*a^-1*b*(c^-1*b^-1*c*d^-1)^2*b*a^\
-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*a*b*a*d*a*c^-1*a^-1*b^-1*a^-1*c*d^-1*b^-1*\
d^-1*b*a^-1*b^-1*c*d*a*b*a^-1*b^-1*a*d^-1*c^-1*a^-1*b^-1*d^-1*b*d^-1*c^-1*b^-\
1*a*b^-1*c^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^2*a^-1*c^-1*a^-1*d*a*c^-1*a^-1*b*d^-1\
*a*b^-1*c*d*b^-1*d^-1*a*c^-1*b^-1*c^-1*a*d^-1*a^-1*c^-1,
  d^-1*b*c*b^-1*a^-1*d^-1*c*a*b^-1*c*d*b^-1*a*b*d^-1*b*d*c^-1*b*a^-1*d*a*b*c^\
-1*a^-1*b^-1*d*a^-1*d^-1*(a^-1*d)^2*a*d*c^-1*d^-1*b*c^-1*a*b^-1*a^-1*d^-1*b*(\
a*d)^2*a^-1*d^-1*b^-1*d*c^-1*b^-1*a^-1*d^-1*c^-1*b^-1*c^-1*a^-1*b^-1*a*d^-1*b\
*d*c^-1*b^-1*a^-1*d^-1*(c^-1*b^-1)^2*d*c^-1*b^-1*c^-1*a*d^-1*b*a*c*d^-1*b*d*c\
^-1*a^-1*b^-1*c^-1*b^-1*d^-1*b*d*c^-1*b^-1*a^-1*d^-1*b^-1*a^-1*d*c^-1*b*c^-1*\
a^-1*c^-1*b*d^-1*b^-1*a*d^-1*b*a*c*d*c^-1*b^-1*c^-1*d^-1*(b^-1*c^-1)^2*a*d^-1\
*c^-1*b^-1*a^-1*d^-1*b*d*c^-1*b^-1*a^-1*d^-1*c*a^-1*c^-1*b,
  b*(d^-1*a^-1)^2*d*c*a*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*d^-1*b^-1*a^-1\
*c*a^-1*d*a*b*a*c^-1*b^-1*d^-1*b*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*c^-1*b^-1*c*b\
^-1*a*d*a^-1*b^-1*c^-1*d*a*d^-1*a^-1*b*d^-1*c^-1*b^-1*c^-1*d*a*b^-1*c^-1*(d^-\
1*b^-1)^2*a^-1*b^-1*d^-1*b^-1*a*d*a*d^-1*c^-1*a^-1*b^-1*c^-1*d*a^-1*c^-1*b^-1\
*c^-1*b*a*d^-1*c^-1*d*a^-1*b^-1*c^-1*b^-1*c*a*d*b^-1*c^-1*d*a^-1*b*a*c*d*a^-1\
*d*c^-1*b^-1*a*d^-1*b*c^-1*b^-1*a^-1*d*a*b^-1*d^-1*c^-1*a^-1*b^-1*a*b^-1*c^-1\
*a*d*a*c*d^-1*a*c^-1*d*(c^-1*b^-1)^2*a*b^-1*d^-1*(a^-1*d)^2*a,
  d*a*d^-1*c*a^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d*b*a*c^-1*a^-1*b^-1*c*(d*a^-\
1)^2*c*b*d^-1*b^-1*c*b^-1*d^-1*a*b^-1*c^-1*d^-1*b*a^-1*d^-1*c^-1*a^-1*d*a*d^-\
1*c*b*c^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*c^-1*b*c^-1*a^-1*d^-1*b^-1*d^-\
1*c*b^-1*a^-1*d^-1*b*c*a*c*b^-1*d^-1*a^-1*(d^-1*b^-1)^2*d^-1*b*c^-1*d^-1*c*a*\
c^-1*d^-1*b^-1*a^-1*c^-1*b^-1*a*d^-1*a^-1*d*a*d^-1*a*b*a^-1*c*d*a*d^-1*c^-1*b\
*c^-1*d^-1*a^-1*b^-1*a*d^-1*a*c^-1*b^-1*a^-1*d*a^-1*c*a*b^-1*d*a*c^-1*d^-1*a*\
b*a*d^-1*b^-1*a*(b^-1*d^-1)^2*c^-1*b^-1*a^-1*d^-1*c*b^-1*a*b^-1*c^-1*a*c^-1*b\
^-1,
  b*d*b^-1*d^-1*c*a^-1*b*d^-1*a^-1*b^-1*d^-1*c^-1*a*c^-1*d^-1*a^-1*d*a*b^-1*c\
*d^-1*b^-1*d*a^-1*d^-1*a^-1*c*d^-1*a^-1*c^-1*a^-1*b*a^-1*d^-1*b^-1*a*c^-1*b*c\
*b*d^-1*a^-1*b*a^-1*d^-1*b^-1*d^-1*c*b^-1*a^-1*d*a*b^-1*d^-1*a*b^-1*c^-1*(d^-\
1*b^-1)^2*a^-1*b^-1*c^-1*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*a^-1*d*a\
*c^-1*a^-1*b^-1*d^-1*a*b^-1*c*(d^-1*b^-1)^2*c^-1*b^-1*d*a*b^-1*c*d^-1*b^-1*d*\
a*b^-1*a*d^-1*c^-1*a^-1*d^-1*b*a^-1*d^-1*a*c*b^-1*a*b^-1*c^-1*d^-1*b^-1*a*b^-\
1*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*c^-1*b^-1*c*b*a^-1*d^-1*a^-1*b^-1*a^-1*d^-1*b^\
-1*d*b^-1*c*d^-1*a^-1*c*d^-1*c^-1*a,
  c^-1*d*b*a^-1*d^-1*a*b*d*a*b^-1*c*d*a*c^-1*a^2*d*c*a^-1*d^-1*a^-1*b^-1*d^-1\
*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-1*b^-1*c^-1*d^-1*c^-1*a^-1*d^-1*b^-1*d^-1*c^-1*\
b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a^-1*d^-1*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^\
-1*c*b^-1*c*d^-1*b^-1*(a*b^-1*c*d^-1)^2*b^-1*d^-1*c^-1*a^-1*b^-1*a^-1*c*a*d^-\
1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*c^-1*a^-1*c*b^-1*a*d*a*c^-1*d^-1*a^-1*c^-1*a^\
-1*b^-1*c^-1*d^-1*a*b*a^-1*c^-1*(b^-1*d^-1)^2*c^-1*a^-1*b^-1*d^-1*a^-1*c^-1*b\
^-1*c^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c*d^-1*b^-1*d^-1*a*c^-1*a^-1*c^-1*b^\
-1*a^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*a^-1*c^-1*b^-1*a^-1*b^-1,
  a^-1*d*a^-1*b^-1*a*d*a^-1*d^-1*b^-1*a*c^-1*a*d^-1*a*c*(d*b^-1)^2*d*c*a^-1*b\
^-1*d*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*c^-1*b*c^-1*d^-1*a*b*c^-1*d^-1*b^-1*d^-1*\
a^-1*b^-1*a*c*b^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*d^-1*b*c^-1*(b^-1*d^-1*a^-\
1)^2*c^-1*b*d^-1*a*d^-1*a^-1*b*d^-1*c^-1*d*a*c^-1*d^-1*b*d^-1*c^-1*b^-1*a^-1*\
d^-1*b*c^-1*b^-1*d*c*a^-1*c^-1*b*c^-1*b^-1*a*d^-1*b*d^-1*a*d^-1*a^-1*c*b^-1*d\
^-1*c^-1*b^-1*a*d^-1*b*c*d^-1*c^-1*a*d*c^-1*b*a*b*d^-1*c*a^-1*b*d^-1*b^-1*a*d\
^-1*a*b*c^-1*d^-1*b^-1*d^-1*a*c^-1*b^-1*c*b^-1*a^-1*d^-1*b*d^-1*c^-1*b^-1*a^-\
1*d*a*b^-1*a*d^-1,
  d*a^-1*(c^-1*b^-1)^2*a*d*a*d^-1*a^-1*d^-1*c*a^-1*b^-1*c^-1*a*(b^-1*a^-1*d)^\
2*b*d*c^-1*a^-1*b*d^-1*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d*c^-1*b^-1*c*a*d*a*b^-1\
*a^-1*c^-1*a*d^-1*c*a*c*b^-1*d*a*b^-1*c^-1*d^-1*b^-1*d*a*b^-1*a^-1*d^-1*c^-1*\
a*d*c^-1*b^-1*d^-1*b^-1*d*b^-1*a*c*b^-1*c*a^-1*d*b^-1*d*c^-1*b*a^-1*d*b^-1*c^\
-1*b^-1*d^-1*c^-1*b*a^-1*d*c^-1*d^-1*c^-1*b*c^-1*a^-1*b^-1*a^-1*d*(b^-1*c^-1)\
^2*a*d*b^-1*c^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*d*b^-1*a^-1*d*a^-1*d^-1*a^-1*d*a*\
b^-1*(d^-1*b^-1*a)^2*c^-1*d*c^-1*b^-1*c^-1*d^-1*b^-1*a*c^-1*d*a^-1*d*c^-1*b^-\
1*a*d*b^-1,
  c^-1*b^-1*c^-1*a^-1*d^-1*a*b^-1*d*a*c^-1*d*a*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d\
*a^-1*d^-1*b^-1*a^-1*d*b^-1*d*c^-1*b^-1*a^-1*d^-1*a*c*b^-1*a*b*c^-1*a*d*a^-1*\
c^-1*b^-1*a*c^-1*(a^-1*d^-1)^2*a^-1*d*a*b^-1*c^-1*b^-1*a*d^-1*b^-1*c*b^-1*c^-\
1*d^-1*b^-1*d*a^-1*b^-1*d*(a*b^-1*d^-1*b^-1)^2*d^-1*b^-1*c^-1*d^-1*a^-1*c^-1*\
d*b^-1*c^-1*b^-1*d*a*b^-1*c^-1*d*b^-1*d^-1*a^-1*b^-1*c^-1*b*a*d^-1*a*c^-1*d*a\
*(c^-1*b^-1)^2*d*a*b^-1*c^-1*d^-1*b^-1*d^-1*a*b*a*d*a*(d*b^-1*d^-1*a*b^-1*c^-\
1)^2*a^-1*b^-1*d^-1*a*c^-1*a^-1*b^-1*d^-1*a*d*a*c^-1*d^-1*a*b^-1*d*b^-1*c^-1*\
d^-1*a^-1*b^-1,
  d^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*b^-1*c^-1*d^-1*b^-1*d^-1*c^-1*a\
^-1*b^-1*d*a^-1*c^-1*b^-1*c^-1*d^-1*c^-1*b*c^-1*b^-1*d^-1*b^-1*c^-1*b*d^-1*a*\
b*c^-1*d^-1*b^-1*d^-1*a*b*a^-1*d*a*d*a^-1*d^-1*b*d*c^-1*b*a^-1*d^-1*b^-1*c*d^\
-1*c^-1*d^-1*b^-1*c*d^-1*b^-1*c^-1*b*a^-1*d*a*b*d^-1*b^-1*d*a^-1*d*c^-1*b*d^-\
1*a*b^-1*a^-1*c^-1*d^-1*c^-1*b^-1*c^-1*d^-1*b^-1*c^-1*b*d^-1*a*b*c^-1*d^-1*b^\
-1*d*a^-1*c^-1*a*b^-1*c^-1*a^-1*b^-1*a*d^-1*b^-1*d*c^-1*b*a^-1*d*a*c*a^-1*b^-\
1*a*d^-1*a*b^-1*d*a*c^-1*d^-1*a*c^-1*d*a*b^-1*c^-1*a^-1*d*a*d^-1*b^-1*c^-1*b*\
a^-1*d*a^-1*c^-1*b*c^-1*d^-1*b*a*d*c^-1*b^-1*d^-1*b*d^-1*c^-1*d^-1*a,
  d*c^-1*d*a^-1*b^-1*a^-1*d*b*d^-1*b*c*d^-1*c*a*c^-1*b^-1*a^-1*d^-1*b*d^-1*b^\
-1*c^-1*d^-1*c*a*c^-1*(d^-1*b^-1)^2*d^-1*c^-1*(b*a^-1*d^-1)^2*a*d^-1*b*a^-1*c\
^-1*b^-1*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*a*d^-1*b^-1*d^-1*c^-1*b*a^-1*d^-1*\
b^-1*c*b^-1*c^-1*a*c^-1*d^-1*b^-1*d^-1*a*b*c^-1*b*a^-1*d^-1*c^-1*b^-1*c^-1*b*\
d^-1*c^-1*a*d*a^-1*c^-1*b^-1*c^-1*d^-1*b^-1*d^-1*b*a*d^-1*b^-1*d*c^-1*b^-1*a^\
-1*d^-1*b*c^-1*b*d^-1*b^-1*d^-1*b*c^-1*d*c^-1*a*d*c^-1*a^-1*b^-1*a*d*a^-1*d^-\
1*b^-1*c^-1*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*a*c^-1*d^-1*a^-1*b\
^-1*a^-1*c^-1*a*d*a*b^-1*d*a*c^-1*d^-1*b*c^-1*b*a^-1*d^-1*a^-1*c^-1*a^-1*b^-1\
*d^-1*a*d^-1*a^-1*b^-1,
  b^-1*d^-1*a*b*c^-1*d^-1*b*d^-1*b^-1*a^-1*b^-1*d*c^-1*b*c^-1*a*d^-1*b*a*c^-1\
*d^-1*b*d^-1*a^-1*b^-1*d^-1*c^-1*a^-1*b*a*c^-1*b^-1*d^-1*c*d^-1*a^-1*c^-1*b*c\
^-1*b^-1*d^-1*a*d^-1*b^-1*a^-1*d*b^-1*d*c*b*a^-1*d*b^-1*c^-1*d*a*b^-1*c*(a*d)\
^2*b*c^-1*a*b*a^-1*c^-1*d*a*d*b^-1*d*b*a^-1*d*c*b^-1*c*a*c^-1*d*b^-1*d*c*b*a^\
-1*d*b*c^-1*b^-1*d*c*b*a^-1*d*b^-1*a*d*a^-1*c*b^-1*d^-1*a*d^-1*b*a*b^-1*c^-1*\
b*d^-1*a*b^-1*d^-1*a*c^-1*(d^-1*a*b^-1)^2*c^-1*d*b^-1*d*b*c^-1*a^-1*c*b^-1*d^\
-1*a*d*b^-1*a*b*c^-1*b^-1*c^-1*a^-1*b^-1*d*a*d*a^-1*b^-1*a^-1*d*b^-1*d^-1*c*b\
*a^-1*d*b^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*b*c^-1,
  d^-1*a*b^-1*a*d*b^-1*d*a^-1*d^-1*c*b*d*a*b*c*d*b^-1*d^-1*b*c*b*a*c*d^-1*b*d\
^-1*c^-1*a^-1*b^-1*d^-1*a^-1*b^-1*d*a*b*c^-1*a*c*b^-1*(d^-1*b*a)^2*c^-1*d*c^-\
1*b*c^-1*d^-1*b^-1*c^-1*d*a*b*c^-1*d^-1*b^-1*d^-1*b*a^-1*b*c*b^-1*c^-1*a^-1*b\
*(d^-1*b*a)^2*c^-1*d*c^-1*b^-1*(c^-1*d^-1)^2*b*a^-1*d^-1*b^-1*d^-1*c^-1*b^-1*\
a^-1*d^-1*b*c^-1*b^-1*d*c^-1*b*c^-1*a*d^-1*b*a*c*d^-1*b*d^-1*b^-1*c^-1*a*b*a^\
-1*d^-1*b^-1*d^-1*c^-1*b^-1*a^-1*d^-1*b^-1*c^-1*a^-1*b^-1*d^-1*b^-1*a*d^-1*b*\
a*c^-1*d*c^-1*b^-1*d*a^-1*d^-1*b^-1*a^-1*(d^-1*b*a)^2*c^-1*d*c^-1*b^-1*c^-1*d\
^-1*a^-1*c^-1*a*b*a^-1*d*a*b*c^-1*d^-1*b*d*a^-1*c*a^-1*b*c^-1,
  a*(b*d^-1)^2*b^-1*c^-1*d^-1*a^-1*c^-1*b*a^-1*b^-1*d*c*a*d*c*b^-1*c^-1*b*d^-\
1*c^-1*a*d^-1*c^-1*b*(d^-1*a^-1)^2*b^-1*a*d*b^-1*(d^-1*a^-1)^2*d*a^-1*c*b^-1*\
c^-1*b*a^-1*d^-1*b^-1*a*c^-1*a^-1*d*b^-1*c^-1*b^-1*a^-1*d*a*b*d^-1*a*c^-1*d*a\
^-1*d*b*a*d^-1*a^-1*d*c^-1*b^-1*a*d^-1*c^-1*b*a^-1*b^-1*c^-1*d^-1*(a^-1*d)^2*\
b^-1*c^-1*d^-1*a*c^-1*d^-1*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*d^-1*a^-1*b*c*b*c^\
-1*a*d*c^-1*a^-1*d^-1*c^-1*a*b*a^-1*d*b*d^-1*c^-1*(b^-1*a^-1*d)^2*c^-1*a^-1*d\
^-1*b^-1*a^-1*d^-1*a*b^-1*c^-1*d^-1*c*a*d*c^-1*a^-1*d^-1*b^-1*a^-1*d^-1*a*b*c\
^-1*b^-1*a^-1*d*b*d^-1*c^-1*b^-1*a^-1*d*a*c^-1*a^-1*d^-1*a^-1*c^-1*a*d*a^-1*c\
^-1*b^-1*c^-1*d^-1,
  d*b*a^-1*c*d*a^-1*c^-1*a*d^-1*a*b*c*a^-1*d*a^-1*b^-1*d*b^-1*d^-1*a*b^-1*c^-\
1*(d^-1*b)^2*a*b*d*a*b^-1*c^-1*(d^-1*b)^2*a^-1*c^-1*d^-1*a*d*c*(a^-1*d^-1)^2*\
b*d^-1*a^-1*b*a*c*a*b^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*a^-1*d*c^-1*a\
^-1*d^-1*b^-1*a^-1*d*a*c^-1*a^-1*d*a*b^-1*d^-1*a*d*a^-1*d*c*b^-1*a*b*d^-1*b^-\
1*c^-1*d^-1*a^-1*b^-1*c*a*b*d^-1*a*b^-1*c^-1*d^-1*b^-1*d^-1*b*d^-1*b^-1*a^-1*\
(b*d^-1)^2*c^-1*b*a^-1*d^-1*(c^-1*b^-1)^2*d^-1*b*d*a*b^-1*c^-1*d^-1*b*d^-1*a*\
b*d^-1*c^-1*a*b^-1*c^-1*d*a^-1*c^-1*b*c^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*\
b*c^-1*b*d^-1*a*c^-1*d*a^-1*b^-1*a^-1*d^-1*b*d^-1*c^-1*b*a^-1*d^-1*b^-1*c*b*c\
^-1*a^-1*b^-1,
  d*a*b^-1*c*d*b^-1*d*a*b^-1*a^-1*c*a*b*c*d^-1*a^-1*b*a^-1*d^-1*b^-1*d*c*b^-1\
*a^-1*d^-1*c*b^-1*c*a^-1*d^-1*c^-1*b^-1*c*b^-1*a^-1*d*a*b^-1*d^-1*a*c^-1*d*a*\
b^-1*d*a*b*c^-1*d*b^-1*a^-1*d*c^-1*a^-1*d*a*c^-1*b^-1*a^-1*d*b^-1*d^-1*b^-1*d\
*c*b^-1*a^-1*d^-1*b^-1*a^-1*c*b^-1*d^-1*a*c^-1*d^-1*b^-1*d*c*b^-1*a^-1*d^-1*b\
^-1*c^-1*b^-1*d^-1*c^-1*a*b^-1*d*b^-1*a^-1*d^-1*c^-1*a^-1*b*d^-1*b^-1*a*d^-1*\
a*c^-1*d*a^-1*b*a*d*b^-1*d^-1*c*b^-1*a^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a^-1*(b^-1\
*c^-1)^2*d^-1*a*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*b^-1*c^-1*b^-1*d^-1*a*c^-\
1*a^-1*b*c^-1*(b^-1*d)^2*c*b^-1*a^-1*d*c^-1*d*a^-1*d^-1*a^-1*d*a*b^-1*c^-1*b*\
a*d^-1*b*a^-1*d^-1*b^-1*a^-1*d*a^-1*b^-1*a*d^-1*c,
  a^-1*d*b^-1*d*c*b^-1*a^-1*d^-1*a*b^-1*a^-1*c*b*d*a^-1*b^-1*c^-1*b^-1*d^-1*a\
^-1*d^-1*b*c*b*c^-1*a*c*d*b^-1*a^-1*d^-1*a*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d*a*b\
^-1*a*d*a*d^-1*a*d*b^-1*c^-1*b^-1*d*b^-1*d^-1*c^-1*a^-1*b^-1*d^-1*a^-1*c*b^-1\
*c^-1*d^-1*b^-1*c^-1*b^-1*d^-1*a*b^-1*c^-1*(d*b^-1)^2*a^-1*b*a*c^-1*a*d^-1*c*\
b^-1*d^-1*b^-1*d*b^-1*a^-1*b^-1*d^-1*c^-1*a*b^-1*d*a^-1*c*b^-1*a*c^-1*d^-1*a^\
-1*d*b^-1*a*c^-1*b^-1*d*a^-1*b^-1*c*b^-1*a*d^-1*a*b^-1*c^-1*(d^-1*b^-1)^2*a^-\
1*c^-1*b^-1*c^-1*d^-1*a*b^-1*c^-1*d*b^-1*d^-1*b^-1*c^-1*a^-1*b*a^-1*c*d^-1*a*\
b^-1*c^-1*d*b^-1*d^-1*b^-1*(a^-1*d^-1)^2*a^-1*b^-1*d*a^-1*b^-1*a^-1*d*b^-1*d^\
-1*c*b^-1*a^-1*d*b^-1*a^-1*b^-1*c^-1*a^-1*d*a*b^-1*c^-1*d*b^-1*d^-1,
  a^-1*c^-1*a*b*c*d^-1*c^-1*b^-1*c^-1*a*d*a*b^-1*a^-1*c*a*d^-1*a*c^-1*d^-1*a^\
-1*d*b*a*c^-1*a*b*a^-1*d^-1*b*d^-1*c^-1*b^-1*c^-1*a*d^-1*c*a*c*d^-1*b*a^-1*d^\
-1*b^-1*d^-1*c^-1*b^-1*a^-1*d*b^-1*c*a^-1*b^-1*a^-1*d*b^-1*d^-1*c*b^-1*a^-1*(\
d^-1*c*b^-1*c^-1)^2*d^-1*c^-1*a^-1*b*d*a^-1*b*d^-1*b^-1*a*d*b^-1*c^-1*d^-1*a^\
-1*b*c^-1*a*c^-1*b*a*b^-1*d*b^-1*d^-1*c*b^-1*a^-1*d*a^-1*b^-1*c^-1*a*d*b^-1*d\
^-1*c*b^-1*a^-1*d*b^-1*c^-1*(b^-1*d^-1)^2*a^-1*d^-1*a^-1*b^-1*a*(d^-1*b^-1*a^\
-1)^2*d*a^-1*c^-1*b^-1*c^-1*a^-1*c^-1*d^-1*a*d^-1*c^-1*b^-1*a^-1*b*d*b^-1*d^-\
1*c*b^-1*a^-1*d^-1*c*b^-1*c^-1*a^-1*(b^-1*d^-1)^2*a*c^-1*b^-1*a^-1*d*b^-1*d^-\
1*c*b^-1*a^-1*d^-1*b^-1*a^-1*b^-1*c^-1*a^-1*c^-1*b*a*d,
  a^-1*b^-1*a*d*a*c*d*c*a^-1*d*b^-1*a^-1*d*a*c^-1*d^-1*a*b*c*d^-1*b^-1*d*a*b^\
-1*a^-1*c*a*d^-1*c^-1*b^-1*a*b^-1*c^-1*a^-1*d^-1*b^-1*c*d^-1*a*b^-1*c*(d^-1*b\
^-1)^2*a^-1*b^-1*d*a^-1*b^-1*a*b*c^-1*a^-1*b*d^-1*c^-1*a^-1*b*d*b^-1*c^-1*a*d\
^-1*b^-1*d^-1*c^-1*b*a^-1*b^-1*d*a*b*d^-1*c^-1*a^-1*d*a*d^-1*b^-1*c*d^-1*c^-1\
*a*d^-1*b*a*c*b^-1*c^-1*b^-1*a^-1*d^-1*c^-1*d^-1*c*a*d*a^-1*d^-1*a*c^-1*d^-1*\
a*b^-1*d*c^-1*b*a^-1*d*b^-1*c*b^-1*d^-1*c*d^-1*a^-1*b^-1*c^-1*b*a^-1*d*a^-1*b\
^-1*c*d^-1*a*b^-1*c*(d^-1*b^-1)^2*a*d*c^-1*(a*b^-1*c*d^-1)^2*b^-1*d^-1*a*c^-1\
*b^-1*c*a*d*c^-1*b*a^-1*b*d^-1*c^-1*d^-1*a*c^-1*a*d*c^-1*b*d^-1*b^-1*d^-1*b*a\
^-1*b^-1*d*a^-1*(b^-1*c^-1)^2*d^-1*c^-1*b^-1*c*a*d^-1*b*a*c^-1*(d^-1*b^-1)^2*\
a*d^-1*b^-1*a^-1*c*a*b^-1*d^-1*c*d^-1*b^-1*c^-1*b^-1*a*b^-1*d*b^-1*a*(c^-1*b^\
-1)^2*a^-1*b^-1*d^-1 ],
[ [ a, d*c*a*b^-1, b*c*d*b^-1*d^-1 ] ]];
end,
[ 200 ]],
"PG1209600.3",0,-2,50,200],
# 1209600.4
[[1,"abcdefghi",
function(a,b,c,d,e,f,g,h,i)
return [[ h^2, i^2, f^2, e^2, g^3, d^3, c^-2*a^-2, b^-2*c^-2, c^4,
  a*e*a^-1*e, b^-1*e*b*e, a^-1*i*a*i, b*g^-1*b^-1*g, (g^-1*i)^2,
  b^-1*d*b*d^-1, a*d*a^-1*d^-1, d*i*d^-1*i, e*g^-1*e*g, b*f*b^-1*f,
  c^-1*i*c*i, d^-1*h*d*h, d^-1*g^-1*d*g, a^-1*g*a*g^-1, a^-1*f*a*f,
  b^-1*h*b*h, (f*i)^2, c^-1*f*c*f, c^-1*g*c*g^-1, (e*h)^2, c^-1*d^-1*c*d,
  (e*i)^2, c^-1*e*c*e, a*h*a^-1*h, c^-1*h*c*h, (d^-1*f)^2, (f*h)^2,
  f*g^-1*f*g, b^-1*i*b*i, c*(b^-1*c^-1)^2*b, (e*f)^3, (h*g^-1)^3, (h*i)^3,
  (e*d)^3, c*(a^-1*c^-1)^2*a*c^-1*a, b*(a^-1*b^-1)^2*a*b^-1*a,
  b*c^-1*a^-1*b*c*b*a*c*b^-1*c*a*c, c*b*a*c^2*a^-1*b*c^-1*b*a^-2*b,
  a^-1*b^-1*c*a*c*b*a*b*c^-1*a*c*a*b^-1, c*a*c*b*a^-1*b*c*a*c*b^-1*a^-1*b*a,
  c*b^-1*a*b^-1*(a^-1*c^-1)^2*b*a*b^-1*c^-1*a^-1,
  a*c*a^-1*b*(a*c^-1*a^-1*b^-1)^2*a*c*a^-1*b^-1 ],
[ [ a, b, c, d, e, f, h*g^-1, i*g^-1 ], [ a, b, c, e*d^-1, f*d^-1, g, h, i ],
  [ c*b, d, e, f, g, h, i, (c*a*c^-1*b^-1)^(a^-1) ] ]];
end,
[ 5, 5, 16 ]],
"PG1209600.4",0,2,[ 2, 1, 1 ],[ 5, 5, 16 ]],
# 1209600.5
[[1,"abcdefghi",
function(a,b,c,d,e,f,g,h,i)
return [[ h^2, i^2, b^2, a^2, c^2, g^3, d^3, f^2*e^-2, e^4, i*e^-1*i*e,
  a*f^-1*a*f, d*g^-1*d^-1*g, c*e^-1*c*e, a*g*a*g^-1, b*e^-1*b*e, (a*i)^2,
  a*e^-1*a*e, e^-1*g^-1*e*g, (b*h)^2, e^-1*h*e*h, d^-1*h*d*h, (g^-1*i)^2,
  c*f^-1*c*f, f^-1*h*f*h, (c*h)^2, b*g^-1*b*g, (c*i)^2, b*d*b*d^-1,
  b*f^-1*b*f, (a*h)^2, f^-1*g^-1*f*g, a*d*a*d^-1, (b*i)^2, f^-1*i*f*i,
  c*d^-1*c*d, d*i*d^-1*i, c*g*c*g^-1, d^-1*f^-1*d^-1*f, (e^-1*f^-1)^2*e*f^-1,
  (h*g^-1)^3, (h*i)^3, (d^-1*e^-1)^3, (c*b)^3, (a*b)^3, (c*a)^4,
  (c*a*b*c*a)^3, a*(c*b*a*b)^3*c*a*b, e^2*a*b*c*a*c*b*a*e^-2*a*b*c*a*c*b*a ],
[ [ a, d, e, f, g, h, i, c^(b^-1), a^(c^-1) ],
  [ a, b, c, d^-1*f*e, e^2*h^-1, e^-1*g^-1*i^-1*e^-1 ] ]];
end,
[ 7, 144 ]],
"PG1209600.5",0,2,[ 1, 1, 2 ],[ 7, 144 ]],
# 1209600.6
[[1,"abcdefghi",
function(a,b,c,d,e,f,g,h,i)
return [[ h^2, i^2, g^3, d^3, f^2*c^-2, a^-1*e^-2*a^-1, c^-2*a^2, f^2*b^2,
  f^-1*a*f*a^-1, b^-2*a^2, (e^-1*b^-1)^2, (b^-1*f)^2, e^-1*g^-1*e*g,
  (a^-1*e)^2, a^-1*g*a*g^-1, b^-1*i*b*i, d^-1*h*d*h, e*c*e^-1*c^-1,
  d^-1*g^-1*d*g, c^-1*f*c*f^-1, b^-1*d*b*d^-1, f^-1*g^-1*f*g, (g^-1*i)^2,
  d*i*d^-1*i, i*f*i*f^-1, c^-1*h*c*h, a^-1*i*a*i, b^-1*g^-1*b*g, a^-1*h*a*h,
  f^-1*h*f*h, e^-1*i*e*i, c^-1*d^-1*c*d, e^-1*h*e*h, a^-1*d*a*d^-1,
  c^-1*g*c*g^-1, b^-1*h*b*h, d^-1*f^-1*d^-1*f, c^-1*i*c*i, a*b^-1*(a^-1*b)^2,
  (c^-1*b^-1)^3, (e^-1*f)^3, d^-1*e^-1*(d^-1*e)^2, (h*g^-1)^3, (h*i)^3,
  a*(c^-1*a^-1)^2*c*a^-1*c,
  b^-1*a*b^-1*c^-1*a^-1*b*c^-1*b^-1*a^-1*c^-1*a*b*c*a*c^-1,
  a*b^-1*c*a*b^-1*a*c^-1*b^-1*a^-1*c^-1*b^-1*c*a^-1*b^-1*c*b^-1,
  c*a*b^-1*a^-1*c*a^-1*b^-1*a*c^-1*b^-1*a^-1*c*b*c*a*b^-1,
  (a^-1*c*b*c)^2*a*b*c^-1*b^-1*a^-1*b*c^-1*b^-1,
  c^-1*b*a^-1*b*c*a^-1*c^-1*b^-1*a*c*(b^-1*a^-1)^2*c*b^-1*a^-1,
  a^-1*b*c^-1*a^-1*b*a*c^-1*b*f*a^-1*b*c^-1*a^-1*b*a^-1*c^-1*b^-1*f,
  c*b^-1*a^-1*c^-1*a^-1*b*a^-1*c*b*a^-1*c^-1*(b^-1*a^-1*c)^2*a^-1*c^-1*b^-1*a\
^-1 ],
[ [ c*b, g, h, i, d*f*e, a*b*c*a^-1*b^-1 ], [ a, b, c, d, e, f, h, i*g ] ]];
end,
[ 192, 6 ]],
"PG1209600.6",0,2,[ 1, 1, 2 ],[ 192, 6 ]],
# 1209600.7
[[1,"abcdefghi",
function(a,b,c,d,e,f,g,h,i)
return [[ a^2, c^2, b^2, g^3, d^3, i^-1*h^2*i^-1, f*h^-2*f, (h*f^-1)^2,
  i^-2*e^-2, h^2*i^2, e^-1*h*e*h^-1, (f*i)^2, a*f^-1*a*f, c*f^-1*c*f,
  b*d*b*d^-1, a*i^-1*a*i, d*i^-1*d^-1*i, e^-1*g^-1*e*g, d^-1*g^-1*d*g,
  a*e^-1*a*e, d^-1*f^-1*d^-1*f, g^-1*i^-1*g^-1*i, c*d^-1*c*d, b*h^-1*b*h,
  d^-1*h^-1*d*h, (e^-1*i)^2, a*g^-1*a*g, c*e^-1*c*e, c*i^-1*c*i, a*h^-1*a*h,
  b*i^-1*b*i, c*g*c*g^-1, b*e^-1*b*e, c*h^-1*c*h, b*g^-1*b*g, a*d*a*d^-1,
  f^-1*g^-1*f*g, b*f*b*f^-1, (h^-1*i)^3, e*(f*e^-1)^2*f^-1,
  g^-1*h^-1*(g^-1*h)^2, (c*b)^3, d^-1*e^-1*(d^-1*e)^2, (a*b)^3, (c*a)^4,
  b*c*a*c*b*a*(c*a*c*b)^2*a, (a*c*a*b)^4 ],
[ [ a, d, e, f, g, h, i, c^(b^-1), a^(c^-1) ],
  [ a, b, c, h*e^-1, (h*f)^(d^-1), e*g^-1*i ] ]];
end,
[ 7, 144 ]],
"PG1209600.7",0,2,[ 1, 1, 2 ],[ 7, 144 ]],
# 1209600.8
[[1,"abcdefghi",
function(a,b,c,d,e,f,g,h,i)
return [[ d^3, g^3, (e^-1*b)^2, f*c^-1*f^-1*c, h^-2*a^2, e^2*i^-2, b^-2*h^2,
  e^2*b^-2, (h*a^-1)^2, e*i*e^-1*i^-1, (f*c^-1)^2, f^-1*a^-1*f*a,
  (b^-1*h^-1)^2, (f^-1*i)^2, h*c^-2*h, f*h*f^-1*h^-1, (b*i^-1)^2,
  a^-1*e*a*e^-1, (a^-1*i)^2, b^4, f^-1*b*f*b^-1, (e*h)^2, d^-1*g^-1*d*g,
  a^-1*g^-1*a*g, f^-1*g^-1*f*g, (c^-1*e)^2, d^-1*h^-1*d*h, b^-1*g^-1*b*g,
  (c^-1*h^-1)^2, d^-1*f^-1*d^-1*f, d^-1*c^-1*d*c, g^-1*c^-1*g*c,
  a*d*a^-1*d^-1, (i^-1*c)^2, b^-1*d*b*d^-1, d*i^-1*d^-1*i, g^-1*i^-1*g^-1*i,
  e^-1*g^-1*e*g, h*i*h*i^-1*h^-1*i^-1, d^-1*e^-1*(d^-1*e)^2,
  c^-1*b*c^-1*b^-1*c^-1*b, g^-1*h^-1*(g^-1*h)^2, (e^-1*f)^3, a*c^-1*(a*c)^3,
  b*a*b^-1*(a*b)^2*a, b*c^-1*a*c^-1*b*c*a^-1*b^-1*c*b*a^-1*c,
  b*a^-1*c^-1*b*c^-1*a^-1*b^-1*c*b*a*b^-1*c,
  b*a^-1*b^-1*a^-1*c*a*c*b^-1*a^-1*b*c*a*c,
  a^-1*b^-1*c*a^-1*c*b*a*b^-1*(a^-1*c)^2*b^-1,
  b^-1*c*h*a^-1*b*c*h*a*c^-1*b^-1*a^-1*c*a^-1*b*c^-1*a^-1*b^-1*a^-1*c^-1*b^-1\
*c^-2*a,
  a^-1*b^-1*c*i*a^-1*b^-1*a^-1*c*a*b^-1*c^-1*a*i^-1*b^-1*a^-1*(c*a*b^-1)^2*a^\
-1*c ],
[ [ c*b, h*e^-1, (h*f)^(d^-1), e*g^-1*i, (c*a*c^-1*b^-1)^(a^-1) ] ]];
end,
[ 1152 ]],
"PG1209600.8",0,2,[ 1, 1, 2 ],1152]];

PERFGRP[359]:=[# 1215000.1
[[1,"abcd",
function(a,b,c,d)
return [[ d^3, b^-1*d^-1*b^2*d^-1*b^-1, (d^-1*a)^2*d^-1*a^-2,
  a^-1*(d*a)^2*d*a^-1, b^-1*(d*b)^2*d*b^-1*d^-1,
  a*d^-1*a^-1*b*c^-1*a*d^-1*a^-1*c*b^-1,
  b^-1*a*d^-1*a^-1*b^2*a*d^-1*a^-1*b^-1, b*a^-1*d^-1*a*b^-2*a^-1*d^-1*a*b,
  b^-1*a*b^-1*a*(d^-1*a^-1*b)^2*d^-1, d^-1*a^-1*b*c*b*d^-1*b^-1*c^-1*d*b^-1*a
    , a*(d*a^-1*b)^2*d*b^-1*a*b^-1, b^-1*a*d^-1*a^-1*b*d*c*b*d^-1*b^-1*c^-1,
  c*b*d*b^-1*c^-1*d*a^-1*b^-1*d*b*a, a^2*b^-1*d^-1*b*a^-3*b^-1*d*b*a,
  a^2*b*a^-1*b^-1*a^-3*b^-1*a*b*a, b^-1*(a^-1*b^-1*a^-1*b)^2*a^2*b^-1*a^-1,
  a*(b^-1*a^-1)^2*(b*a^-1)^2*b^-1*a^-1*b^-1*a,
  c^-1*d*b^-1*a^-1*d^-1*a*b*a^-1*d*a*c*a^-1*d*a,
  (a*b)^2*a*b^-1*d^-1*b*(a^-1*b^-1)^2*a^-1*d,
  c^-1*(b^-1*a^-1)^2*b*a^-1*c*(a^-1*b^-1)^2*a^-1*b,
  c^-1*(a^-1*b^-1)^2*a^-1*b*c*(b^-1*a^-1)^2*b*a^-1,
  c*(a*b)^2*a^-1*d^-1*a*(b^-1*a^-1)^2*c^-1*a*d*a^-1,
  a^-1*d*b^-1*d*a*d^-1*a^-1*b*d*a*b^-1*a*d*a^-1*d^-1*b*d,
  b^-2*a^2*b^2*a*b^-2*a^2*b*a^-1*b*a^2*b^-1,
  b^-1*a*(b^-1*a^-1)^2*a^-1*b*a*(a*b^-1)^2*b^-1*a^2*b^-1,
  b^-2*a^2*b^2*a^2*b*a^-1*(a^-1*b^-1)^2*a^-2*b^-1*a,
  (b*a)^2*c*b*d*(a^-1*b^-1)^2*a^2*c^-1*d^-1*b^-1*a*d,
  c^-1*a^-1*d^-1*a*c*b*d*b^-1*a*d^-1*a^-1*d*b^-1*a*d*a^-1*d^-1*b*d^-1,
  a*b*a*b^-1*a^-1*d*a^-1*b^-1*d*(a*b)^3*c*b^-1*d^-1*b*c^-1,
  a*b^-1*a*b*a^-1*b^-1*a*(b*a*b*a^-1*b^-1*a^-1)^2*b^-1,
  a*b^-2*a^2*b^3*a^-1*b^-1*a*(b*a*b)^2*a*b^-2,
  b^-1*c^-1*b*(a^-1*b^-1)^2*a^-1*b^2*c*a^2*b^-1*a^-1*b*a^2*b^-2,
  c*a*b*(a^-1*b^-1)^2*c*a^-2*c^-2*a^-1*b^-2*a^-4*b^2,
  a*c*b^-2*(a*b)^2*a*b^-1*c^-1*b^-1*a*b*a^2*b*a^-2*b^-1*a,
  b^-5*a^2*b^2*(a*b*a)^3*(b^-1*a^-1)^2,
  c^-1*b*a^-1*(b*a)^2*a*b^-1*a^-2*c*b*a^-1*(b*a)^2*a*b^-1*a^-2,
  (b^-1*a^-1)^2*b*c*b*(a^-1*b^-1)^2*a*(b^-1*a^-1)^2*b*(b*a)^2*b^-1*a^-1*c^-1,
  c^-1*b*a*b*(a^-1*b^-1)^2*a*b^-1*(b^-1*a^-1)^2*b*c*a*b^-2*a^2*b^2*a,
  b^-1*c^-1*b^-1*(a*b)^2*a*b^-2*(a*b)^2*a*c*b*a*c^-1*(b*a)^2*b^-1*a^-1,
  a*b*a^-2*b^-1*a^-1*(b^-2*a^2)^3*(b*a^-1)^2*a^-1*b^-1*a^2,
  b*a^-1*b*a*b^-1*a^-2*b*(b^2*a^-2)^2*b^4*a*b^-2*a^2*b,
  (b*c*b*a*c^-1*(b*a)^2*b^-1*a^-1*b^-1*c^-1)^2,
  b^-1*(a*b*a)^2*b*a*b^-2*a^-2*b^2*a*(b^-1*a^-1)^2*b^2*(a^-1*b^-1)^2,
  c^-1*b^-1*c^-1*b*c*b^4*a^-2*b^-1*a*b*a^-1*b^-2*a*b^-1*a^-1*b*a*(b^-1*a^-1)^\
2*b^2,
  b^-3*a^-1*(a^-1*b^-1)^2*a^-1*b*(b*a)^2*b^-1*a^-1*b^2*a^-3*b*a^-2*b^-1*a^-1*\
b*a*b^-1*a^-1*b^-1*a^3,
  b^-1*c^-1*(b^-1*a^-1)^2*b*(b*a)^2*a*b^-1*a^-2*b*a*c^-1*b*a*b*(a^-1*b^-1)^2*\
b^-1*(a*b)^2*a^2*b^-2 ],
[ [ b^-2, c*a, d, a*c^-2*a^-1, a*d*a^-1, a^-2*c^-1*a^-1, b*a^-3, (c^-1*a)^2,
      c^-1*b^2*a, a^2*b^2*c, a^2*c^3, (a*b)^2*a, a*b^-1*c^2*b^-1*a^-1,
      a*(c*a^-1)^2*a^-1, a^-1*b*a*c^-1*b^-1*a^-1 ],
  [ a, b, c, d^-1*c^2*d^-1, d^-1*c^-2*d^-1, d*a^-1*c^-1*b^-1*a*d^-1 ] ]];
end,
[ 30, 81 ]],
"PG1215000.1",0,1,1,[ 30, 81 ]],
# 1215000.2
[[1,"abcd",
function(a,b,c,d)
return [[ d^3, b^-2*d^-1*b^2*d^-1, a^-1*d^-1*a^2*d^-1*a^-1*d^-1,
  a^-1*(d^-1*a)^2*d^-1*a^-1, b*(d^-1*b^-1)^2*d^-1*b*d, a^2*c*a^3*c^-1*a,
  b^-1*a^-1*d*a*b^2*a^-1*d*a*b^-1, (b^-1*a^-1*d)^2*a*b*a*b*d,
  a^-1*b^-1*a^-1*d*a*b*d*a*b^-1*d^-1*b,
  b*a*d^-1*a^-1*b*d*b^-1*a*d*a^-1*b^-1*d,
  c^-1*b^-1*a^-1*d*a*b*c*b*a^-1*d^-1*a*d*b^-1,
  a^2*b*d^-1*b^-1*a^-2*d*b*a*d*a^-1*b^-1, a^2*b^-1*d*b*a^-2*b*a*d*a^-1*b^-1*d
    , a*d^-1*a^-1*b*d*b^-1*c^-1*b*a*d*a^-1*b^-1*d*c,
  c^-1*d^-1*a^-1*d*a*c*b*d^-1*a*d*a^-1*b^-1*a^-1*d*a,
  a^-1*d^-1*a*b^-1*a^-1*d^-1*a*b*a^-1*d*a*b*a^-1*d^-1*a*b^-1,
  c^-1*d*c*b^-1*a^-1*d^-1*a*b*d*a*d*b^-1*a^-1*d^-1*a*b*a^-1*d,
  c*b*a^-1*b^-1*a^-1*b*a^-1*c*d*c^-1*a*b^-1*a*b*a*b^-1*c^-1*d,
  a^-1*b^-1*a^-1*b*a^-1*c*b*a^-1*d*a*b^-1*c^-1*a*b^-1*a*b*d^-1*a*d,
  c^2*b^-1*c*b*a*c*a*b*c^-1*d*c^-1*b^-1*a^-1*c^-1*a^-1*b^-1*c^-1*b*d^-1,
  b*d*b^-1*c*b*a*c*a*b*c*d^-1*b*c^2*b^-1*a^-1*c^-1*a^-1*b^-1*c^-1*b*c^-1,
  b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*d*b^-1*c^-1*a*b^-1*a*b*a*b^-1*c^-1*b^-1*d^-\
1,
  c*b^-1*a^-1*c^-1*a^-1*d^-1*b^-1*a*d*a^-1*c^-1*d^-1*c*b*a*c*a*b*c^-1*a*d*a^-\
1,
  a*c^-2*a^-1*d^-1*a*c*b^-1*c*b*a*c*a*c^-1*b^-1*a^-1*c^-1*a^-1*b^-1*c^-1*a^-1\
*d^-1,
  c*b*a^-1*b^-1*a^-1*b*a^-1*c*a^-1*d*a*c^-1*a*b^-1*a*b*a*b^-1*c^-1*a^-1*d*a,
  a^-1*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a*c^-1*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b\
*c,
  c^-1*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*c^2*b^-1*c^-1*a*b^-1*a*b*a*(b^-1*c^-1)\
^2, c^-1*a*b^-1*a*b*a*b^-1*c^-1*(b^-1*c)^2*b*a*c*a*b*c*b^-1*c*b*a*c*a,
  b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*c^-1*a*b^-1*a*b*a*b^-2*a^-1*c^-1*a^-1*b^-1*\
c^-1*b,
  c^-1*b^-1*c^-1*a*b^-1*a*b*a*b^-1*c^-1*b^-1*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b^-1\
*c*b*a*c*a*b,
  a^2*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a^-2*c^-1*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c\
*b*c,
  c^-1*a*b*c*b*a^-1*b^-1*a^-1*(b*a^-1*c)^2*a*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*\
a^-1,
  a^2*c*(c*b)^2*a^-1*b^-1*a^-1*b*a^-1*c*b^2*c^-2*b^-1*a*c*b^-1*c*b*a*c*a*b,
  d*c*b*d^-1*a^-1*d*b^-1*a^-1*b*a^-1*c*d*b^-1*a^-1*d*(a*b^-1)^2*a^-1*c^-1*a^-\
1*b^-1*c^-1*b*c^-1*a^-1,
  c^-1*a^-1*b^-1*c^-1*b*c^-1*(b^-1*c^-1*a*b^-1*a*b*a*b^-1*c^-1*b^-1)^2*b^-1*a\
^-1,
  c^-1*a*b^-1*a*b*a*b^-1*c^-1*b^-2*a*b^-1*a^-1*c^-1*a^-1*b^-1*c^-1*b*c^-1*a^-\
1*c*b^-1*c*b*a*c*a*b,
  a*b^-1*c^-1*a*b^-1*a*b*a*b^-1*c^-1*b^-1*a^-1*b*d*b^-1*a*b*c*b*a^-1*b^-1*a^-\
1*b*a^-1*c*b*a^-1*b*d^-1*b^-1,
  a^-1*c*b^-1*c^-1*a*b^-1*a*b*a*b^-1*c^-1*b^-1*a^-1*c*b^-1*c*b*a*c*a*b*c^-1*b\
^-1*a^-1*c^-1*a^-1*b^-1*c^-1*b*c^-1,
  c*b^-1*c^-1*a*b^-1*a*b*a*b^-1*c^-1*a^-1*b^-1*a^-1*b*a^-1*(c*b)^2*a^-1*b^-1*\
a^-1*b*a^-1*c*b*a*(b^-1*c)^2*b*a*c,
  a^-1*c^-1*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a^-1*b^-1*(c^-1*b)^2*(b*c*b*a^-1*\
b^-1*a^-1*b*a^-1*c)^2,
  a^-1*c^-1*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a^-1*b^-1*(c^-1*b)^2*(c^-1*a*b^-1\
*a*b*a*b^-1*c^-1*b^-1)^2,
  b^-1*c*b*a*c*(a*b)^2*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a^-1*b^-1*a^-1*c^-1*a^-1\
*b^-1*c^-1*b*a*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a^-1,
  c^-1*b^-1*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a*b*c*b*a^-1*b^-1*a^-1*b*a^-1*c*b*a\
*b^-1*c^-1*a*b^-1*a*b*a*b^-1*c^-1*b^-1*a*b^-1*c*b*a*c*a*b ],
[ [ b^-2, d, a^2*c, a*c^-2*a^-1, a*d*a^-1, a^-1*c*b^-1, (c*a)^2, c*b^-2*a,
      c^-1*b^2*a, a*b*a*b^-1*c^-1, a*b^2*c^-1*a^-1, a*b^-1*a*b*a,
      a*b^-1*a^-1*c*b^-1*a^-1, a*b^-2*a*c^-1, a*b^-1*c^-1*a*b^-1*a^-1,
      a*c*a*c^-1*b^-1, a*c*a^-1*c^-2, a^-3*c*a, a^-2*b^-2*c^-1*a^-1,
      a^-1*b*a^-1*b^-1*a^2, a^-1*b*c*b^-1*c^-1 ],
  [ a, b, c, d^-1*c^2*d^-1, d^-1*c^-2*d^-1, d*b*c*b*a*d^-1,
      d*b*c^-1*b^-1*a*d^-1, d*c*a*c^-1*a*d^-1, d*c*a^-1*c^-1*a^-1*d^-1 ] ]];
end,
[ 30, 81 ]],
"PG1215000.2",0,1,1,[ 30, 81 ]],
# 1215000.3
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^3, c^4, d^-1*e*d*e^-1, e^5, (d^-1*c^-2)^2, b*d*b^-2*d*b,
  c^-1*a*e^-1*c*a*e, (d^-1*a)^2*d^-1*a^-2, a^-1*(d*a)^2*d*a^-1,
  d^-1*b*d^-1*b^-1*d*b^-1*d^-1*b, e*(a^-1*c^-1)^2*e^-1*c^-2,
  a^2*e^-1*b*e^2*b^-1*a, a^-3*b^-1*a^3*b, c^-1*b*c*b*e^-1*c^-1*e*b^-1,
  e^-1*a^-1*(e^-1*a^2)^2, c^-1*a^-3*c*a^3, (e^-1*c^-1)^4,
  c^-2*b^-1*e*b*c^-2*e^2, c^-1*d^-1*c*b*d*b^-1*a^-1*d*a,
  b^-1*e^2*b*c^2*e^-1*c^-2, a*e^-2*c^-1*e*c*a^-1*e^-2,
  e^2*c*a^-1*c^-1*e*a*e^2*a, (b^-1*a^-1)^2*b*e^-1*a^2*e^-2,
  e*c^-2*e*c*e^-1*c^-2*e^-1*c^-1, b*c^2*b*d^-1*b^-1*c^-2*b^-1*d,
  a^-1*c*e^2*c*a*e^-2*c^2, c^-2*(a^-1*e)^2*a^-1*c^-2*e^-1,
  c^-1*e^-2*c^-1*d^-1*c*e^2*c*d^-1, c^-1*e*c*a^-1*c^-1*a^-1*e^-1*c*e^2,
  (b^-1*a)^2*b*a*c*e^2*c, c^-1*e^2*a^-1*e^-2*a*e*c*e^-1,
  (c^-1*e^-2*c^-1*e)^2, d^-1*b^-1*a*d^-1*(a^-1*b)^2*d^-1*b^-1*a,
  c*a*b*d^-1*b^-1*a^-1*d^-1*c^-1*a^-1*d*a,
  b^-1*a^-1*d*(a*b)^2*d*b^-1*a^-1*d^-1, a^3*c^-1*(e^-1*c)^2*e^-1*c^-1*e,
  b^-1*a^-1*d^-1*(a*b)^2*d^-1*b^-1*a^-1*d, b^-2*(e^-1*c^-1)^2*a^-1*c^-1*e*c*a
    , d^-1*a^-1*b*d^-1*(b^-1*a)^2*d^-1*a^-1*b,
  b^-1*c^-1*e^-2*c^-1*b*a^-1*c^-1*a^-1*e*c^-1,
  a*b*d*b^-1*a^-1*e^-1*a*b^-1*d*b*a^-1*e, d*a^-1*e^2*a*d^-1*b^-1*e*b*c*e*c^-1
    , b^-1*a^2*b*d^-1*b^-1*a^-2*d^-1*b*a*d*a^-1,
  b^-1*a^-1*e^2*a*b*e^-2*c^-1*b^-1*e*b*c,
  c^-1*e^-1*b*d*b^-1*a^-1*d^-1*a*e*a^-1*d^-1*a*c*d,
  e^-1*c^-1*a*b^-1*(a*b)^2*c*e^-1*c^-1*e^2*c,
  b^-1*a*b*d^-1*b^-1*a^-1*b*c^-1*a*b^-1*d^-1*b*a^-1*c,
  c^-1*d^-1*b*a*d*a^-1*b^-1*c*a*b^-1*a^-1*d^-1*a*b*a^-1,
  c^-1*a*b^-1*a^-1*d^-1*a*b*a^-1*c*b*a*d^-1*a^-1*b^-1*d,
  a^2*b^-1*a^-1*d^-1*a*b*a^-2*b^-1*a*b*d*b^-1*a^-1*b,
  a*b^-1*a^-1*d^-1*a*b*a^-1*e*a*b^-1*a^-1*d*a*b*a^-1*e^-1,
  a^-1*e^-1*c^-1*b^-1*e*c^-1*b*c*b*c^-1*e^-1*(e^-1*a^-1)^2*c*a^-1,
  d*b*a*d^-1*b^-1*d*b*a^-1*b*d*(b^-1*a^-1*d^-1*a)^2,
  c^-1*e^-1*b^-1*a*d*a^-1*c^-1*d*c*b*e*d^-1*c*b^-1*a^-1*d^-1*a*b ],
[ [ b*a^-1, b^-1*a^-1, c*a^-1, c^-1*a^-1, d, e ],
  [ c^-1*a^-1, d, a*d*a^-1, a^-1*b*a, a^-1*e*c*a, b^-1*a*c*b^-1, b^-4,
      b^-1*c*e*a, b^-1*e*a*b^-1, c*a^-1*e*b^-1, e^-1*a*e^-1*b^-1 ] ]];
end,
[ 45, 125 ]],
"PG1215000.3",0,5,1,[ 45, 125 ]],
# 1215000.4
[[1,"abcd",
function(a,b,c,d)
return [[ a^3, d^3, c^4, a*d^-1*a^-1*b*d*b^-1, b*d*b^-2*d^-1*b,
  d*a^-1*d*b*d^-1*b^-1*d^-1*a, c*(c*a)^2*c^-1*b^-2,
  c*b*d*a^-1*d^-1*a*b^-1*c^-1*d^-1, a^-1*d*a*b^-1*c*d*c^-1*b*d^-1,
  d*c^-1*b*d^-1*b^-1*d*c*b^-1*d^-1*b, d^-1*b^-1*c^-1*a^-1*c*d*c^-1*a*c*b,
  (b^-1*a)^2*b*a*c*b^2*c, a*b^4*a^-1*b^-4, a*b^-2*a^-1*(b^-1*c*b^-1)^2,
  b^-1*a^-1*d*a*b^2*a^-1*d^-1*a*b^-1, a*b^-1*c*a^-1*b^-2*c^-1*b*a*b,
  b^-2*c*b^4*c^-1*b^-2, d*c^-1*a^-1*c*a^-1*d^-1*a*c^-1*a*c,
  c*b*c^-1*a*c*a^-1*b*a*b^-1*a*c, b*c*b*c^-1*b*c^2*b^-1*(c*b)^2,
  c*b^-1*c^-2*(b^-1*c)^2*b^2*c*b^-1, c*b^2*a^-1*b^-1*c*b^-1*c^-1*(a*b^-1)^2,
  a^-1*c^-1*a^-1*b^2*(c^-1*b^-1)^2*b^-1*c^-1*b,
  c*b^-1*c^-1*b*a^-1*b^-1*c*b*c^-1*b*a^-1*b^-1, (b^-1*(c^-1*b)^2*c^-1)^2,
  b^-2*a*c^-1*a^-1*c*a*c*b^-1*c*b*c*b^-1,
  a*c*b*(a*b^-1)^2*a^-1*b^-1*c^-1*b^-1*c*b,
  c*b^2*c*b*a^-1*c^-1*a^-1*b*c^-1*b^3*c, c*b^2*a*b^2*a^-1*(c*b)^2*c^-1*b^-1*c
    , c^-2*a*c*b^-2*a*c*b^2*c^-1*a^-1*c*a^-1,
  c*b^-1*c^-1*b^-2*c*b*c^-1*(c^-1*b)^2*c*b,
  d*c^-1*b^-1*c*d*b*d^-1*c*d^-1*c^-1*b^-1*c^-1*b*c,
  (b^-1*c)^2*b^-1*c^-1*b^2*a*c*b^-2*a*c,
  b^-1*a*b^-1*c*b*a*b^-1*c^-1*a*b^-1*a^-1*b*c*a^-1,
  c*b*c^-2*a^-1*b^-1*(c*a)^2*b*c*a^-1*c^-1*b*c,
  a^-1*d^-1*b^-1*d*c^-1*b*c*d*c^-1*d^-1*b^-1*c*b*a*c*d^-1*c^-1,
  b*a^-1*b^-1*c^-1*b*a*c*a^-1*b^2*c^2*a*(c^-1*a^-1*b)^2*a^-1,
  c^-1*a^-1*b*(a*b^-1)^2*a^-1*c*a^-1*b*c^-1*b^-1*c^-1*b*c*b^-1*a^-1*b^-1*c^2*\
a^-1*b,
  b^-1*a*(b*a^-1)^2*b^-1*a*c*a^-1*c^-1*b^-1*c*b*c*b^-1*a*c^-1*b*a*c^-1*a*c,
  b^-1*c^-1*b*a^-1*b^2*c^-1*a^-1*(c^-1*b^-1)^2*c^-1*b^2*c^-1*a^-1*b^2*c^-1*a*\
c^-1*a^-1 ],
[ [ b*a^-1, b^-1*a^-1, c*a^-1, d ],
  [ d, a*b*c^-1, c^-1*a*c^-1*b, c^-1*b*c^-1*a, c^-1*b^-3 ] ]];
end,
[ 15, 125 ]],
"PG1215000.4",0,5,1,[ 15, 125 ]],
# 1215000.5
[[1,"abcd",
function(a,b,c,d)
return [[ d*c*d^-1*c^-1*d, d^5, c^-1*d*c*d^2, a^-1*b^-2*a*b^2,
  b^2*d^-1*b^-2*d^-1, b^-1*c*a^3*c^-1*b^-1, c^-1*a^3*c*b^-2,
  b*d*b^-1*d*a^-1*d^-1*a*d, a^-1*c*a^-1*c^-5, a^2*d*a^-3*d*a,
  a^-1*c*(c*a^-1)^2*a^-1*c, c^-1*a^-2*c^-1*b^-2*a*b^-2,
  a*c*a*d^2*a^-1*c^-1*a^-1*d, c*a^-1*d^-2*a*c^-1*a*d^-1*a^-1,
  c^-1*a^-1*d^2*a*c*a*d^-1*a^-1, c*a^-1*b^-1*(c*a^-1)^2*b*c*a^-1,
  a*d^-1*a^-1*b*d^-1*a*d^-1*a^-1*d^-1*b^-1, (c^-1*a^-1)^2*b^-1*(c*a)^2*b,
  d^-1*a^-1*b*d^-1*b^-1*a*d^-1*a*d*a^-1, b^-1*c*b*c^2*b*c^-1*b^-1*c^-2,
  d^2*a^-1*(d*a*d)^2*a^-1, a^-1*c^-1*b*c*b*c^-1*b^-1*c^-1*a^-1*c^-1,
  b*d^-2*b^-1*d^-1*a*d^-2*a^-1*d^-1, d*a^-1*d^-2*a*d*a*d^-2*a^-1,
  d*b^-1*c*a^-1*b*d^-1*b^-1*a*c^-1*b*d,
  b*d*b^-1*c*d^-1*a*d^-1*a^-1*c^-1*a*d^-1*a^-1,
  (a*d^-1)^2*a^-1*d^-1*(a^-1*d)^2*d*a*d, c^2*a^-1*b*c^2*a^-1*c^-1*a^2*c*b*a,
  a^-1*d^-1*a*d^-1*c^2*d*a*d*a^-1*c^-1*d^-1*c^-1,
  (b^-3*a^-1)^2*b^-1*c^-2*a^-1*c^-2, a*d*a^-1*c^2*a*b^2*d^-1*a^-1*c^-2*b^-2,
  d*b^-1*c*a^-1*c*d*a^-1*(c^-1*a*d^-1)^2*d^-1*b,
  a*c*a*b^3*c*b^-1*a^-1*c^-1*a^2*c^2*b^-1,
  c*a^-2*c*a*c^2*a*c^-1*a^-1*c^3*a*b^-2,
  a^-1*c^-2*a^-2*c^-1*a^-1*d^-1*a^-1*c^2*b^2*a*d*a*c,
  c^-2*b*a^-1*c^-2*a^-1*c^3*a*b*c^-1*b*a^-1*c^3*a^-1,
  a^2*c^3*a*b*a*c^-3*a^2*c*a^-2*b*a*c^-1,
  c^-1*a^2*b*c^-1*b*c*b^-1*c^-2*a*c^2*a^2*c^-1*b*c*b^2*a^-1*c^-2*a^-2*b^-1*c^\
-1*b*a^2 ],
[ [ b^-2, c*a^-1, c^-1*a, d, a*c*a ], [ a, b, c ] ]];
end,
[ 30, 125 ]],
"PG1215000.5",0,5,1,[ 30, 125 ]],
# 1215000.6
[[1,"abcd",
function(a,b,c,d)
return [[ d^3, b^-1*a^-1*d*a*b*d^-1, b*d^-1*b^-2*d*b,
  d*a*d^-1*b*d^-1*b^-1*d*a^-1, a^2*d^-1*a^-2*b*d*b^-1,
  c^-1*b^-1*d^-1*a*d*a^-1*b*c*d, c*b^-1*a*d*a^-1*d^-1*b*c^-1*d,
  b*d*c*d*b*d^-1*b^-1*c^-1*b^-1*d^-1, b^2*a*d^-1*a^-1*b^-2*a*d*a^-1,
  a*d*a^-1*(b^-1*a)^2*d^-1*(a^-1*b)^2,
  a*d*a^-1*c*b*d*b^-1*a*d^-1*a^-1*c^-1*d^-1, a*b^3*a^2*b^-1*a^-2*b*a^-1*b^-1,
  a^2*b*a^-1*b^-1*a^2*b^2*a^-3*b^-1, (b*a^-1)^2*a^-2*b^-2*a^2*b*a^2,
  c^-1*a^-1*b^-1*c^-1*b*c*b*a^-1*b*a^3*b^-1, (a^3*b^-1)^2*b^-6,
  b^-1*a*b*a^3*b^-1*a^-3*b^-1*a^-2*b*a, (a^-1*b^-1*a^-4)^2*b^-1*a^-2*b,
  a^-1*b^-1*a^-1*b*a^-3*b^-1*(a*b)^2*a^3*b^-1,
  c^-1*a^-1*c*b*a^2*b^8*a*b^-1*a^2,
  a^-1*b^3*a*c^2*a^-1*b^-2*a^-1*b^4*a*b*a^-2,
  a^-2*c^-1*a^-1*b^-1*c^-1*b*c*(a*b^-1*a)^2*a*b^2*a^-1*b^-1,
  c^-1*a^-1*b*a^-3*b^-1*a^-2*c*b*a^-1*b^-1*a^2*b*a^-4,
  a*b^-1*a^-1*b*a^3*b^3*a*c^-1*a^-1*b^-1*c^-1*b*c*a^-2*b,
  (b^-1*a)^2*b^-2*a^-1*b*a^3*b^3*a*b^-1*a^-5,
  c^-1*a*c*a^2*b^-1*a^2*b^2*a*b^-1*a*b^4*a^4,
  b*a^-1*(a^-2*b^-1)^2*b^-3*a^-1*b^4*a^2*b^-4*a,
  a^-3*b^-5*d^-1*a^-2*b^2*(a^-1*b*a^-1)^2*a^-2*b^-1*a^-1*b*d*b,
  c^-1*a*b^-1*a^-1*b*a^3*b^-1*a^-1*b*a*b^-1*c*a*b^-1*a^-1*b*a^3*b^-1*a^-1*b*a\
*b^-1, a^2*b^-1*a*c^-1*a^-1*b^2*a^2*b^-2*a^-2*c*a*(b*a^-2)^2*a^-4*b^-1,
  a^3*b^-1*a^-4*b^-1*a^-3*(b*a)^2*a^4*b^-1*a^-2*b*a*b^-1*a^2,
  b*a*b^-1*a^2*c^-1*a^-1*c*a^-2*b^-1*a*c^-1*a^4*b*a^-1*b^-2*a^-2*c^-1*b*c*b*a
    ,
  b^-1*c^-2*a^-1*b^-5*(b^-2*a^-1)^2*a^-1*b*a^2*c^-1*a^-1*b^-1*c^-1*b*c*a^2*b*\
a^2,
  a^-1*b*a^-3*b^-1*a^-1*c^-1*a^2*b*a^3*b^-1*a^-1*b*a^-3*b^-1*a^-1*c*a^2*b*a^3\
*b^-1,
  b^-1*a^-1*b^-4*a*c^-1*a^2*b*a^3*b^-1*a*c*a^-1*b^-4*a*b*a*b^-2*(b^-1*a^2)^2*\
b*a,
  a^3*c^-1*a^-1*b^-1*c^-1*b*c*a^3*b^-3*a*(a*b^4)^2*a^2*b^3*a^2*b^2*a^-2*b^-1,
  b^-1*a*c^-1*a^-1*b^3*a^-2*b^-1*a^-2*b*a^2*c*a^-1*b^2*a^2*b^-2*a^-1*c^-1*a^2\
*b*a^3*b^-1*a*c*a^-1*b^-3,
  b*a^-2*b^-1*a*b^-3*(a^-1*b*a^-1)^2*a^-2*b^-1*a^-1*(b*a)^2*a^2*b^-1*a*b*a^-2\
*b^-1*a*b^2*a^-2*b^-1*a^-2*b*a^-1,
  a^-1*b^-1*a^-1*b*a^-3*b^-1*a^-1*c*b^-1*a^3*b^-3*a*b^-1*a^-1*b^3*a^5*b^-1*a*\
c^-1*b^-1*(b^-1*a^-2)^2*a^-2*b,
  a^-1*b*a*b^-5*a^2*b^-1*c^-1*a^-1*c*b*a*b*a^-1*b^2*a^-1*b^-1*a^2*b*a^-1*(a^-\
3*b^-1)^2*a*b^-1*a*b*a^-3*b^-1*a*b,
  c^-1*a*b*a^3*b^-1*a^-1*c*a^-1*b^-4*a^-1*b*a^-2*(a^-1*b^-1)^2*b^-2*(b^-1*a)^\
3*a*(b^2*a^-1*b)^2*b^3*a^4 ],
[ [ b*a^-1, b^-1*a^-1, c*a^-1, c^-1*a^-1, a*d*a^-1 ],
  [ d, a*b^-2*a^-1, a*d*a^-1, a^-2*c, a^-1*c^-2*a, a^-1*d*a, b*a^-1*b^-1*a,
      b^2*c*a^-1, b*c^-2*b^-1, b^-1*c^-2*b, (c*a^-1)^2, c*b^-2*c^-1,
      c^3*a^-1, (c^-1*a^-1)^2, c^-2*b^2, a^2*b^-2*a, a^2*c*a^-1*c^-1,
      a^2*c^-1*a^-1*c^-1, a*b*a*c^-1*a ],
  [ d, a^3, a*d*a^-1, a^-1*b*c, a^-1*b^-1*c^-1, b^-4, b^-1*c^2*b^-1,
      b^-1*c^-2*b^-1, c*a*c^-1*a, c*a^-1*c^-1*a^-1, c^2*b^-2, c^-1*a*c*a,
      c^-1*a^-1*c*a^-1, c^-1*b^2*c^-1 ] ]];
end,
[ 15, 30, 24 ]],
"PG1215000.6",0,2,1,[ 15, 30, 24 ]],
# 1215000.7
[[1,"abcd",
function(a,b,c,d)
return [[ d^3, c*d*c^-2*d^-1*c, b^-1*d^-1*b*a^-1*d*a,
  a*d*a^-1*d*a*d^-1*a^-1*d^-1, d*c*d*(c^-1*d^-1)^2*c, b^-1*d*b*a^2*d^-1*a^-2,
  a*c^-1*d*(c*a^-1)^2*d^-1*a*c^-1, c^-1*b^-1*d*b*d^-1*c*d^-1*b^-1*d*b,
  a^-1*c*d*c^-1*a*c*a*d^-1*a^-1*c^-1, c*a*d*a^-1*c^-2*a*d^-1*a^-1*c,
  d*c^-1*d*a^-1*d^-1*a*c*a^-1*d^-1*a, b^-1*d*b*c^-2*b^-1*d^-1*b*c^2,
  c*a^-2*c*a*d^-1*a^-1*c^-1*a^2*c^-1*d,
  d^-1*b^-1*c^-1*d*a*d^-1*a^-1*c*d*b*c^-1*d^-1*c,
  a^-1*d^-1*b*c^-1*d*c*d*b^-1*a*b^-1*c^-1*d*c*b,
  b^-1*a*d^-1*a^-1*c*d^-1*c^-1*b*c*a*d^-1*a^-1*c^-1*d,
  b^-1*d*c^-1*b*c*d^-1*b*a^4*d*c^-1*a,
  d*a^-1*d*c*d*a^-1*c^-1*a^-1*d^-1*a*d^-1*c*a*d^-1*c^-1*a,
  b^-1*d*a*d^-1*a^-1*c*d*c^-1*b*d^-1*c*d^-1*c^-1*a*d*a^-1,
  c^-2*(b^-1*a)^2*b*a*c^2*a^-1*b^-1*(a^-1*b)^2,
  c^-1*d*b^-1*(c*d^-1)^2*a^-1*c^-1*d*c*a*c^-2*b*c*d,
  a*b^-1*a*b*a*c^-1*d*b^-1*a*b^-1*d*a*b*a*c*d*b^-1*d,
  b*a^-1*c^-4*a*b^-1*c^-2*b*a^-1*c^4*a*b^-1*c^2,
  a*d*a^-1*b*a^-1*c^4*a*b^-1*a*d^-1*a^-1*b*a^-1*c^-4*a*b^-1,
  c^-1*b^-1*c^-1*b*c*b*d^-1*c*d^-1*c^-1*a*d^-1*a^-1*b^-1*c^-3*d*c^-1*a*d*a^-1\
*b,
  b^-1*(a^-1*b)^2*c*a^-1*b^-1*d^-1*b*d^-1*c^-1*d*c*b^-1*(a^-1*b)^2*c^-1*d^-1*\
a^-1*d,
  a^-1*c^-1*a^-1*c*d*a^-1*c^-1*d^-1*c*b^-1*a^-1*(b*a^-1*c^-1)^2*c^-3*a*b^-1*c\
*b,
  c*b*d*b*d^-1*c^-1*d*c*a^-1*b^-1*a^-1*b*a^-1*b^-1*d*c^-1*d^-1*a^-1*d*b^-1*(a\
^-1*b)^2,
  c^-1*a^-1*b^-1*(a^-1*b)^2*c^-2*b*a^-1*c^4*a*b^-1*c^-1*a^-1*d^-1*c^4*a*d^-1,
  a*d*a^-1*c*b*a^-1*c^4*a*b^-1*c^-1*a*d^-1*a^-1*c^-1*b*a^-1*c^-4*a*b^-1*c,
  b^-1*c^-1*b*a^-1*c^4*a*b^-1*c^-2*(c^-1*b)^2*a^-1*c^4*a*b^-1*c^-3,
  c^2*a*b^-1*a*b*c^-1*d*c*a*d^-1*c^-1*a*c^-3*a*b^-1*c^10,
  a^-2*c^2*d*c^2*a*b^-1*c^-4*b*a^-1*c^-4*a^3*d^-1*b^-1*a*b*d^-1*a*c^-1*d^-1*c\
*d*b^-1, c^-4*a*(b^-1*c^4)^2*c^2*b*a^-1*c^-8*a*c^2*b*a^-1*c^-4,
  a*c^-3*(a*b^-1)^2*c^7*b*c^-1*(b^-1*a)^2*b*a*c*d*b^-1*d*c^-3*a*b*c*d*c^-1*a*\
d^-1*c^-1,
  d^-1*a^-1*b^-1*d*c^-1*a*d*a^-1*b*c*b*d*a^-1*c*d^-1*c*(b^-1*a)^2*b*a^2*c*d*c\
^-1*a^-1*c^-1*d*c^-1*b*a^-1*c^4*a*b^-1*c^-1,
  a^-1*(b^-1*a)^2*b*(a*c^-1*d*c)^2*b^-1*c^-4*a*b*a*c^-1*a*d*c*a*d^-1*b^-1*a*b\
^-1*c^8*b,
  a*c^-3*b*a^-1*c^-1*a^-1*c*d*a^-1*c^-1*d^-1*c*a*c*a^-1*d*a*d*c^-1*b^-1*c^-1*\
a^-1*c^-4*b*d*a^-1*c^-1*d^-1*a^-2*d*a*d*c*b^-1,
  a^-1*b^2*a^-1*c^4*a*b^-1*c^3*b^-1*c^-2*b*a^-1*c^-4*a*c^-5*b^-1*a*c^-2*b*a^-\
1*c^4*a*b^-1*c^-2,
  b^-1*d*b*c*b*a^-1*d*c^4*a*b^-1*c^2*a^-1*c^-1*d^-1*c^-2*b*a^-1*c^4*a*b^-1*c^\
-1*a*c^-2*a^-1*c^4*a^2*d*a^-1*d*c^-1,
  b^-1*c*d*c^2*b*a^-1*c^-4*a*b^-1*c*d*b^-1*a^-1*b^-1*d*c*b*a^-1*c^-4*a*b^-1*c\
^3*b*a*b*a^-1*c^4*a*b^-1*c^2,
  a^-3*d*c^-3*d*b*a^-1*c^4*a*b^-1*c^-1*a^-1*c^-3*d*c^-1*a*b^-1*c^4*a*c^-2*b*a\
^-1*c^4*a*b^-1*c^-2*a^-1*b,
  a^-2*c^4*a*b^-1*c^3*b*a^-1*c^-8*a*b^-1*c*b^2*a^-1*c^-4*(a*b^-1)^2*c^8*b,
  b*a^-1*c^4*a*b^-1*c*d*b*a^-1*c^-4*a*b^-1*c*b*a^-1*c^4*(a*b^-1)^2*a*b*d^-1*a\
*c*d^-1*c^-1*d*a^-1*c^-4*a*b^-1*c*d^-1*c,
  a^-1*c^-10*b^-1*a^-1*b*d^-1*a^-1*c^-1*b*a^-2*b*a*b^-1*c^-8*(b*a^-1)^2*c^4*a\
*b^-2*a^2*b^-1*c*b^-1,
  a^-1*b^-1*c^4*b*a^-1*c^-1*(b^-1*a)^2*b*d^-1*a*d*c*d^-1*a^2*c^2*b*a^-1*c^-4*\
a*b^-1*c^2*b^-1*d^-1*a^-1*b^-1*d*c^-1*a*d*a^-1*b*c*b*d*a^-1*c^-1*d^-1*b,
  c^3*(b^-1*a)^2*b*a*c*d*a^-1*d*c^3*b*a^-1*c^-8*a*b^-1*c*a^2*b^-1*a*b*a*d*c*d\
^-1*c^-1*b^-1*a^-1*b*a^-1*c^4*a*b^-1*a*d^-1,
  c^3*a^-1*b^-1*c^-1*b*a^-1*c^4*a*b^-1*c*b*c*d*c^-1*d*a^-1*c^-3*d*c^-1*a^-1*c\
^-3*b^-1*c*b^-1*a^-1*c^-10*b^-1*a^-1*b*d^-1*a^-1*c^-1*b,
  d^-1*c^3*d^-1*a*b^-1*c^-1*b*a^-1*c^-4*a*b^-1*c*b*a*c^2*b*a^-1*c^-4*a*b^-1*c\
*b*a^-1*c^8*a*b^-1*c^-6*d^-1*c^-1*a*c,
  c^-1*a*b*a^-1*c^4*a*b^-1*c^-3*b*a^-1*d^-1*c^-4*a*b^-1*c^-3*d^-1*c^-1*a^-1*d\
^-1*a^-1*d*a^2*b*a^-1*c^4*a*b^-1*c^-3*b*a^-1*c^-4*a*b^-1*c^-1*a,
  a^-1*c^-3*b^-1*a*c^2*b*a^-1*c^-4*a*b^-1*c^2*a^-1*b*c*a*c^3*b*a^-1*c^-8*a*b^\
-1*c^-1*d^-1*c^-1*b*a^-1*c^4*a*b^-1*c^-1*d*b*a^-1*c^-4*a*b^-1*c^2,
  a^-1*c^-1*b*a^-1*c^4*a*b^-1*c^-3*a*b*c*d^-1*b^-1*d^-1*b*c^-1*a^-1*b^-1*a^-1\
*b*a^-1*b^-1*c^8*a*b*a*c^-1*a*d*c*a*d^-1*b^-1*a^2*b^-1*a*b*a*d*c^3*d*b*a^-1*c\
^-4*a*b^-1*d*c*b^-1*d^-1 ],
[ [ c^-1*a^-1, d, a*b*a^-1, a^-1*c*a^-2, a^-1*c^-1*a^-2, b*a^-1*b^-1*a,
      b*c^-2*b^-1, b*d*b^-1, b^-2*c*a^-1, b^-1*c*b, (c*a^-1)^2, c*b^-1*a^2,
      c^2*b^-2, a*c^-2*a^2 ],
  [ b*a^-1, c^-2, d, a^3, a*c^-2*a^-1, a*d^-1*b, a^-1*c^-2*a, b^-1*a*d*a,
      b^-2*a*b, c*a^-1*c^-1*a^-1, (a^-1*b)^2*a, a^-1*b*c^-2*b^-1*a ],
  [ d, a^3, a*d*a^-1, a^-1*b*c, a^-1*b^-1*c^-1, b*d*b^-1, b^-4,
      b^-1*c^2*b^-1, b^-1*c^-2*b^-1, c*a*c^-1*a, c*a^-1*c^-1*a^-1, c^2*b^-2,
      c^-1*a*c*a, c^-1*b^2*c^-1, a*b*a^-1*c*b^-1, a*b*c*a*b^-1,
      a*b*c^-1*a*b, a*b^-1*a^-1*c^-1*b^-1, a*b^-4*a^-1, a*b^-1*c*a*b ] ]];
end,
[ 30, 60, 24 ]],
"PG1215000.7",0,2,1,[ 30, 60, 24 ]],
# 1215000.8
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^3, c^-1*e^-1*c*e^-1, d^-1*e^-1*d*e, c^4, e^5, b^-1*c^2*b*c^-2,
  d^-1*c^2*d*c^-2, a*b*d^-1*b^-1*a^-1*d, b*d*b^-2*d^-1*b,
  e^-1*b*d*b^-1*e*b^-1*d^-1*b, c^-1*e^-1*a*e^2*c*a*e, b*d*b^-1*a^2*d^-1*a^-2,
  d*a*d*b*d^-1*b^-1*d^-1*a^-1, c^-1*a^-1*c*a*e^2*a*e^-1,
  a*e^-1*b^-1*e*b*e^-1*a^-1*e^-1, b^-1*e*b*a^-1*e^-1*a*e^-2,
  a^-2*e^-1*a^3*e*a^-1, a^-1*c^-1*a^-1*e*a*c*a*e,
  d^-1*a^-1*e*a*d*a^-1*e^-1*a, a^-1*e^-1*a*c^-1*a*e^-1*a^-1*c,
  e^-1*b^-1*c*e^-2*c*e*b^-1*e^-1, c^-1*b*d^-1*a*d*a^-1*b^-1*c*d,
  c*b*a*d*a^-1*d^-1*b^-1*c^-1*d, a*c^-1*e*a*e^-2*a^-2*c*a,
  d^-1*b*d*b^-1*c^-1*b^-1*d*b*d^-1*c, b^-1*a*d*a^-1*b^2*a*d^-1*a^-1*b^-1,
  e*a*e^-1*b^-1*e^2*b^-1*e*c^2*a^-1, (b^-1*a)^2*b*e*c*a^2*c^-1*e,
  (c*b)^2*a^-2*e^2*a^-1*c*b^-1, a*b^-1*a*d^-1*(a^-1*b)^2*a*d*a^-1*b^-1,
  c^-1*a*d*a^-1*d^-1*c*a*d^-1*a*d*a^-2, c*a^2*c^-1*(e*a^-1)^2*e^-2*a*e^-1,
  b^-1*a*e^2*a^-1*b*c^-1*e^-1*a*c*a^-2*e,
  e^-1*a*b^-1*c^-1*b*a*e*c*a*e*b*a*c^-1,
  (b^-1*a^-1)^2*b*(a^-1*e^-1)^2*c*a^2*c*e ],
[ [ b*a^-1, b^-1*a^-1, c*a^-1, c^-1*a^-1, e, a*d*a^-1, a^-1*b^-2*a ],
  [ c*a^-1, c^-1*a^-1, d, e, a*b^-2*a^-1, a*d*a^-1, b*e*c^-1*b^-1,
      b^-1*a^-1*b*a ], [ d, e, a^3, a*d*a^-1, a*e*a^-1, a^-1*b*c ] ]];
end,
[ 15, 30, 24 ]],
"PG1215000.8",0,2,1,[ 15, 30, 24 ]],
# 1215000.9
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^3, d^-1*e^-1*d*e, e^5, b*a^-1*d*a*b^-1*d^-1, b*d*b^-2*d^-1*b,
  b^-1*e*b^2*e^-1*b^-1, c^2*e^-1*c^-2*e, c^2*d^-1*c^-2*d,
  b*e^-1*b^-1*e^-1*b*e*b^-1*e, b^-1*d^-1*b*e*a^-1*d*a*e^-1,
  a^2*d*a^-2*b^-1*d^-1*b, c*d^-1*c^-1*d*c*d*c^-1*d^-1,
  c^-1*d*c*e^-1*c*d^-1*c^-1*e, d*b^-1*d*b*d^-1*b^-1*d^-1*b,
  d^-1*a^-1*e^-1*a*d*a^-1*e*a, a^-1*e*a*e^-1*a^-1*e^-1*a*e,
  b^-1*c^-1*d^-1*c*b*d*a*d^-1*a^-1, d*c^-1*d*b^-1*d^-1*b*c*b^-1*d^-1*b,
  (a*c^-1)^2*d^-1*(c*a^-1)^2*d, b*e*b^-1*c^-2*b^-1*e^-1*b*c^2,
  c^-1*a*d^-1*(a^-1*c)^2*d*c^-1*a, c^2*a^-1*e*a*c^-2*a^-1*e^-1*a,
  a^-1*e^-1*b^-1*e^-1*b*e^-1*a*b^-1*e^2*b, e*b^-1*e^2*b*c^-1*a^-1*e*a*c*e,
  c^-1*a^-1*e*a*c*b^-1*e^2*b*e^2, a^2*c^-1*b^-1*d^-1*b*c*a^-2*c^-1*d*c,
  b^-1*a^-1*c^-1*d*c*a*b*c^-1*a*d*a^-1*c,
  c^-1*a*d^-1*a^-1*c*e^-1*a^-1*c^-1*d*c*a*e,
  b*e*b^-1*a^-1*e*a*b^-1*e^-1*b*a^-1*e^-1*a,
  c*e^-2*c^-1*e^-1*a*e^-1*b^-1*e*b*e^-1*a^-1*e^-1,
  a*d*a*c^-1*d*c*(d*a^-1)^2*c^-1*d^-1*c,
  e^-1*a^-1*e^-1*a*e^-1*b*e*a^-1*e^-1*a*e*b^-1*e^-1,
  e^-1*a*e*a^-1*e^-1*b^-1*e^2*b*a^-1*e^2*a,
  d^-1*c*d^-1*a*c*d*c^-1*d*a^-1*c^-1*d*a*d^-1*a^-1,
  e^-1*a*e^-1*a^-2*b*e*b^-1*a*e^-2*b*e*b^-1,
  c^-1*e^-1*b^-1*e*b*e^-1*c*a^-1*e*b^-1*e^-1*b*e*a,
  c^-1*a*c*d^-1*a*d^-1*c*d*c^-1*b*e^-1*b^-1*e^2,
  c^-1*d*c*d^-1*a^-1*c^-1*a^-1*d^-1*c*d*c^-1*a*c*a,
  (a^-1*d^-1)^2*e^-2*c*d^-1*c^-1*a^-1*e^2*b^-1*e^-1*b,
  c*d*a^-1*c^2*b^-1*d*b*c^-1*a^-1*c*a^-1*d*c*a^-1,
  (b^-1*a)^2*d*b*c^-1*d*c*d*a*d*c^-1*e*d*c,
  a^-1*c*b^-1*e*b*e^-2*a^-1*c^-1*a*d*c*d^-1*c^-1*a^-1*d,
  d*a*d*c^-1*a*d^-1*a^-1*d^-1*c*a*c*d^-1*c^-1*d*a^-2,
  a*c^-1*d^-1*c^-1*d*b*e*b^-1*d*e^-1*a^-1*(d*c)^2*e^-1,
  a*c*d*c^-1*d*a*d*b^-1*e^-1*b*e^-1*a*e*b^-1*e^-1*b*e,
  a*e^-2*b^-1*e*b*a*e^-1*b^-1*e^-1*b*a*e^-1*a^-3*e^-1,
  d^-1*b^-1*d^-1*a*d^-1*a^-2*e*c^-1*d^-1*c*a*e^-1*c*a*d*a^-1*c*e*b^-1,
  d*b^-1*d^-1*c^-1*b*d*c*b*d*e^-1*a^-1*d^-1*c*d*c^-1*a*e^-1*c^-1*a^-1*c*a^-1*\
c^-1, c^-1*a*b^-1*c^-1*b*c*b*d*a*d*b^-1*e*b*e^-2*a^-1*e*c*e^-1*c^-1*e*a,
  c^-1*a^-1*b^-1*c^-1*b*d*c*b*c^-1*b^-1*d*b*c*a^-1*e^-2*b*e^-1*b^-1*a^-1*e^2*\
a,
  b^-1*d*a*d^-1*a^-1*(a^-1*c)^2*d*b*d^-1*a^-1*e*a*c*d^-1*a^-1*c*d*c^-1*d^-1*e\
*a*c,
  d^-1*c*d*e*a^-1*e^-1*c^-1*d^-1*c*a*b^-1*e^2*d*b*e*c^-1*d*c^-1*a^-1*d^-1*c*a\
^-1*c^-1*d^-1*a*d^-1*a^-1*c,
  e^-1*a*d*b^-1*a*d*a^-1*(d^-1*c)^2*a^-1*e^-1*c*e^-1*d*e^-1*c^-1*a*e*b*d^-1*e\
^-1*b^-1*(d^-1*c)^2*b*a^-1,
  a*d^-1*a^-2*e*a*d*c*a*d^-1*a^-1*b^-1*e*b*e*d*c^-2*a^-1*c^-1*d^-1*c*d*a*b*e*\
b^-1*e*d^-1*c*d,
  b^-1*a^-1*b*a^-1*b^-1*e*c^-1*d*c*b*e^-1*a^-1*d^-1*c*d*c^-1*a*e^-2*c*(e^-2*c\
^-1)^2*c^-1*e^-1*b^-1*d*e*a^-1*c*d*c^-1*d ],
[ [ b^-2, d, e, a*c*b^-1, a*d*a^-1, a*e*c^-1, a*e^-1*c, a^-1*c^-2*a,
      a^-1*e*c^-1*a, a^-1*e^-1*a^-2, b*a*c ],
  [ b*a^-1, d, e, a*d*b, a^-2*b, a^-1*b^-1*c^2*b^-1*a ],
  [ d, e, a^3, a*c*b, a*c^-1*b^-1, a*d*a^-1, a*e*a^-1 ] ]];
end,
[ 30, 60, 24 ]],
"PG1215000.9",0,2,1,[ 30, 60, 24 ]]];

PERFGRP[360]:=[# 1224120.1
[[1,"abcde",
function(a,b,c,d,e)
return [[ b^4, c^-2*b^2, d^-1*e^-1*d*e, a*c^-1*a*c, b^2*a^-3,
  b^-1*(c*b)^2*c, b^2*d*c^2*d, b^2*e*c^2*e, a*b^-1*(a*b)^2,
  d^-1*a^-1*d*a^2*d*a^-1, d^5*a^-1*e^3*a, c^-1*e*c*e^-2*a^-1*e^-1*a*d^-3,
  b^-1*d*b*d^-1*e^3*a^-1*d*e^-2*a*d^-1, c^-1*d*c*e^3*a*d^-3*a^-1*e^4*d^2,
  a^-1*e^19*a*d^-2, b^-1*e*b*a*d^-4*a^-1*e^2*a^-1*e^-7*a*d^4 ],
[ [ b^-2, a^-1*c*b^-1*a^-1, a*d*e^-1*a^-1*e^-1, a^-1*d*b*d^-1*b^-1*a,
      c*d*e^-1*c*d^-1, c*e*b*e*b^-1*c^-1, d*a*b*a^-1*d*c^-1,
      d*b*a^-1*d^-1*a*b^-1, d^2*(e^-1*c^-1)^2, d*e^-1*c*e*c*d^-1,
      e*a*e^-1*a*e*a, e*a^-1*e^-1*a^-1*e*a^-1, e*c*e^-1*c^-1*d^-2,
      a*b*d*a^-1*d^2*c^-1, a*b*d*b*a^-1*d^2, a*b*e*c*e*a*d^-1,
      a*c*d*a^-1*e*d*b^-1*a^-1, a*c*d*c*e*a^-1*d, a*(c*e)^2*a^-1*d^-1,
      a*c*e^2*a*e*c^-1, a*d*a*e^-1*a*e^2, a*d*a^-1*e^-1*a*e^-1*a^-1,
      a*d*b^-1*d^-1*e*b^-1*d^-1*a^-1, a*d^2*b*e^-1*d*b^-1*a^-1,
      a*d*e*b*d^-2*b^-1*a^-1, a*d^-1*a*e*a*e^-2, a*e*a^-1*b*d^-1*b^-1*d^-1,
      a*e*a^-1*d^-1*b*d^-1*b^-1 ] ]];
end,
[ 1212 ]],
"PG1224120.1",0,1,1,1212]];

PERFGRP[361]:=[# 1224936.1
[[1,"abc",
function(a,b,c)
return [[ c^4, c^-1*a^-1*c*a^-1, b^-1*c^2*b*c^-2, b^4*a*b^-1*a^-1,
  (a*b)^2*a^-4*b*a^2, b*a^-3*(b^-1*a)^3*b, a^-1*b*(b*a)^2*a*b^2*(b*a^-1)^2,
  a^-1*c*b*(a*b^-1)^2*c*b^2*a^-2*b^-1*c^-1*b^-3,
  (b*c^-1*b^-1*a)^2*a*b^-1*a*c*a^-1*b^-2*a^-2,
  c^-1*a^3*c^-1*b*(a*b^-1)^2*c^-2*a^2*b^3*a^-1,
  c^-1*b^-2*c*b^-1*a*b^2*c*a*b*c*b^-2*a*b^-3,
  a^-1*b*a^2*c*a^-1*c*a^2*b^-1*a^-2*b*a^-1*c^-1*a*c^-1*b^-1,
  b^-1*c*b^-1*c^-1*b*a*b^-2*a^-1*c^-1*b^2*c^-1*a*b*a^-2*b^-1,
  a^-1*c^-1*b^-3*c*a^-1*b*a^2*b*a*c*(b^-1*a^-1)^2*b,
  a*b^-1*a^-2*b^-1*c^-1*b*a^-1*b^-1*a^-1*c*a^4*b^3*c^-1,
  b^-1*a*b^2*a^3*b^-1*c^-1*a^3*c*b^2*a^-2*b*a,
  b*c^-1*b^-1*a^-1*b*a^-1*c*a^4*b^-3*c*a*b*a^-2,
  b^-3*a^-1*c^-1*b*a^-2*b*a*c*a^-3*b^2*a^-2*b^-1*c,
  c*b*a*c*a^-1*b^-1*a^2*b*c*b^2*c*a^2*b^-1*a^-3*b^-1,
  a^-1*(c^-1*b)^2*a^3*b*a^-1*c*a*b^-1*c*b^-1*a^3*b^-1*a^-1,
  c^-1*a*b*a^-2*b^-2*a*c^-1*b^2*c*b*a*b^-2*c^-1*a*b^-1*a^-1,
  c^-1*b*a^-1*b^-1*a^-1*c^-1*b^-1*a^-2*b^-1*c*a^-3*(a^-2*b^-1)^2,
  a^-1*c^-1*b^-2*a^-1*b*c^-1*a*b^-1*a^-1*c*b*a*b^-2*c^-1*a^2*b^-1*a^-1,
  b^-1*a^2*b^2*c*a*(b*a^-1)^2*b^2*c*a^2*b^-3*c^-1,
  b^2*c^-1*b*a*b*a^-2*b*c*b^-2*c^-1*b^-1*a*b^-1*a^-2*b^-1*c,
  c^-1*a^-1*b*a^-1*b^-1*a^3*c^2*(a^-1*b)^2*(b*a)^2*b*a^-1*c^-1,
  a^-1*c^-1*(b^-3*a^-1*b*c*a)^2*b^-3*a^-1*b,
  c^-1*a*b^-3*c^-1*(b*a)^2*b^-1*a^2*b*c^-1*a^-2*b*a^2*b,
  c*(b*a^-1)^2*b^-1*c*(b^-1*a^-1)^2*b^-2*a^-1*c*(b^-1*a^-1)^2*b^-2,
  a^-1*c^-1*a*b^-3*a^-1*b*a^-1*c*b^-3*a^-1*b*c*b*a*b^-3,
  c^-1*a^3*b*a^-1*c*b^-1*a*b^-2*c*a^3*b*a^-1*c*b^-1*a*b^-2,
  b^-1*c^-1*b^-1*a^-2*b*c*a^-2*b^-2*c^-1*b*a^2*b*a^-2*b^-1*a^-1*b*c,
  c^-1*b^-2*c*b^-2*a*c^-1*a^-1*b^2*a^-3*c*b^-1*a*b^-1*(b^-1*a^-1)^2,
  a*b^-1*a^-1*b^-2*a^-1*c*a^3*c*b*(b*a)^2*b^2*a*c^2*a,
  b^-2*a^-1*c^-1*a*b*a^-1*c*b^-1*(a^-1*b)^2*b*c*a^2*b*c*b^-2*a^-1,
  b^-2*c^-1*b^-3*c*b*a*b^-2*c^-1*a*b^-2*a*b^-1*c*a*b^-3*a^-1,
  c^-1*a^-2*b*a^2*b^-1*c^-1*b^-2*a^2*c*b^-2*a^2*b^3*c*a*b^-1,
  c*b^-1*c^-1*a^-1*b^-1*a^2*b^-3*a^-1*c*a*b^2*a^2*c*b^-1*a*b^-2*a^-1,
  b*c^-1*b^3*a^-1*b^2*c^-1*b^3*c*b^-1*a*b^2*a^-1*c*b*a*b*a^-1,
  b^-1*c^-1*b*c^-1*a*b^-2*(b^-1*a^-1)^3*b*c*b^-2*c^-1*a^-1*(a^-1*b^-1)^2,
  (a^-1*b^-2)^2*c*b*a*b^-2*c^-1*(b^-2*a)^2*c^-1*b^-1*a*b^-1*c^-1,
  b^2*a^-1*c^-1*b*a^-1*b^2*c*a*b^-1*a^3*b*c*a^2*b*(b*a^-1)^2,
  c^-1*b^-2*c^-1*a^-1*b^-1*a^2*b^-2*c*b^-2*a^2*c^-1*(b^-1*a*b^-1)^2*a,
  a*c^-1*b^-1*a*b^-1*c^-1*b^-1*a^-1*b^-2*a*b^-1*c*b*a*b^-2*c^-1*b^-1*a*b*a^2*\
b, c^-1*b^-1*a^-1*b^-2*a^-1*c^-1*b^-3*a^-1*b*a^-1*b^-1*c*a^-3*b*a^-3*b^-2,
  c^-1*b*(b*a^-1)^2*b^2*a^2*c*b*(b*a^-1)^2*b^2*c*b^-1*(a^-1*b)^2,
  a^-1*b^-2*a^-1*b^-1*c*b^-1*a^-1*b*a^-1*b^-1*c*a*b^2*a^3*b^-1*a^2*c^-1*a^-2,
  b^-1*c^-1*b^3*a^-1*c*b^2*c*b*a^-1*b^-1*c*a^4*b^-2*(b^-1*a^-1)^2,
  c*b^-1*a^-1*b*c^-1*b^2*a*c*(b*a^-1)^2*(a^-1*b^-2)^2*a^2*c*b^-1*a,
  b^-2*a^-1*b*c^-1*a^3*b^-3*a^-1*b^-1*c*b*a^-1*b*c^-1*(a^-1*b^-1)^2*b^-1*c,
  b^-1*c*b^2*a^2*b*a^-1*c*a^2*b^-2*c*a^2*b*a^-2*b^2*c^-1*a*b^-1,
  c^-1*b*a*b^2*c^-1*b^3*a^-1*b*c*a^8*b*a*b^-1*a*b,
  a^-1*c^2*a^-4*(b^-2*a^2)^2*a^3*c^2*b^-1*a^-1*b^-2*a^-1,
  c*b^-2*a^2*b^3*c*b^-2*c^-1*a^-1*b^2*a^-2*b^-1*a^2*b*a*c^-1*b^-1*a,
  a*c^-1*b^-1*a*b*c*b^2*a*b^3*a^-1*c^-1*b*a*b^-1*a*c*b^-1*a^-1*b^-2*a*b^-1,
  b^-1*c^-1*b^-2*(b^-1*a^-1)^2*c*a^4*b*a^4*b^-2*c*b^-1*a^-1*b^-1*a,
  c^-1*b^2*a^-1*b^2*(c^-1*a^2*b^-1)^2*b^-1*(b^-1*a^-1)^2*b*c*a^3*b^-1,
  a^-1*c^-1*a*b^-1*a^-2*b*c^-1*(a^2*b^-1)^2*c*a^-4*b*a^-1*b^-1*a^-2*b,
  a^-1*c^-1*b^-1*a^-1*b^-2*c^-1*a^2*b^-1*(b^-1*a^-1)^2*b^-2*c*a^-2*b^-1*(b^-1\
*a^-1)^2*b^-2,
  b*c^-1*b^3*a^-1*b*a*c*b*a*b^-2*c^-1*b^-1*a^-1*b*a^-1*b^-1*c*b^-1*a^-1*(b^-1\
*a)^2, (c^-1*b^-2*a^-1)^2*b*c*b^2*c*a*b^2*a^-1*b^-1*c^-1*b^2*c*b*a*b^-2*a^-1,
  c^-1*b^-1*a*b*a*b^-2*a^3*c*a^-3*b^-2*a^-1*b*a^-1*b^-1*c*b^-2*a^-1*b^-1*a*b^\
-1,
  a*b^2*a^-1*c*b^2*c*b^-1*a*b^2*a^-1*c^-1*b^2*c*b^-1*a*b^2*c*a*b^2*c^-1*b^-1,
  c^-1*b^-1*a^2*b^-1*c*b*a*b^-2*c^-1*(b^-1*a^-1)^2*b*c*a^4*b^2*a^2*b*a^-1,
  (b^-1*a^-1)^2*c^-1*a*b*(b*a^-1)^2*b^2*c*b*a*b^-2*c^-1*(a*b)^2*b*a^2*b*c^-1,
  b*c*a*b^-2*a^4*b^3*c^-1*a^-2*b^-1*a^-1*b*a^-2*b^-1*c*a*b^-3*a^-2,
  c^-1*b^-1*a*b^-2*c*a^-10*b^-1*a^-1*b^-1*a*b^-1*c*b*a^-1*b^-1*a^2*b^-1,
  b^-1*a^-1*c^-1*a*b^-2*a^-2*b^-2*c*a^-4*(a^-2*b^-2)^2*c*a*b^-3*a^-1,
  a^-1*b^-1*c^-1*b*c*b^2*a*b^3*a^-1*c^-1*b*c*b^-1*a^-2*b^2*c^-1*b^-1*c*(a^-1*\
b^-1)^2*a*b^-1,
  (c^-1*b^-1*a*b^-1)^2*a^-1*b^-1*a^3*b*c*a*b^2*c*a^-1*b*a^-1*b^-1*(a^-2*b)^2,
  a*c^-1*b*a^2*b^-1*a^-1*c^-1*a^2*b^-1*a^-3*b*c*b*a^-2*b*a*b^-1*a*c^-1*(b*a^-\
1)^2*b^-1, a^-1*c^-1*b^3*a^-1*b*c^-1*a^2*b^2*a^-2*b^2*c*a^-4*(a^-2*b^2)^2,
  a^-1*c^-1*a*b^3*a^-1*b^-1*a^-1*b*c*a^-3*b^-1*a^-3*b^2*a^-1*c*a*b^-2*(b^-1*a\
^-1)^2, a^-5*b*a^-1*c^-1*b^3*a^-1*b^2*c^-1*a*b^2*a^-1*c*b^2*c*a^-5*b^-1,
  a^-1*c^-1*b^2*a*b^2*c^-1*a*b*c*b^-2*c^-1*a^-2*b^-1*a*b^-1*c^-1*b^-2*c*a^-2*\
(a^-1*b^-1)^2,
  a*c^-1*b^-2*a^2*b^-1*a^-1*c^-1*a^2*b^-1*a^-2*b*c*a^2*(a^3*b^-1)^2*b^-1*a^3,
  a^-1*c^-1*b*a*b^2*c^-1*b^-1*a^5*b*(a*b^-1)^2*b^-1*c*b*a*b^-2*c^-1*b^2*a^-1*\
b^2, a^-1*c^-1*a*b^-1*a^-2*b^-2*c^-1*(b*a^-1)^2*a^-1*b*c*a^8*b^-1*a^2*b^3,
  c^-1*a*(b^2*a^-1)^2*b*c^-1*a^2*b*a^-2*b^2*c*b^-1*a*b^2*a^-1*c*b*a^-4*b^-1,
  a^-1*c^-1*a*b*(b*a^-1)^2*b^-1*c^-1*a^-2*b*a^2*b*c*b^-1*a*b^2*c*a^-1*b^-2*a^\
-2*b*a^-2,
  a^-1*c^-1*a^3*b*a^-3*b*c*b*a*b^-2*c^-1*a*b^-1*a^5*b^-3*a^-1*c*b*a*b,
  c^-1*b^2*a^-1*c*a^14*b^-1*a^5*b*c*b^2*a^-1*b^-1,
  b^-2*a^-1*c^-1*b^-3*a^-1*b^-1*c*a^9*b^-3*a^-1*b^-1*c*a^2*b^-2*a^-2,
  b^-1*a^-1*c^-1*a*b^-1*a^-2*b^-2*c*b*a*b^-2*c^-1*a*b^-1*(b^-1*a^-1)^2*a^-1*c\
*(a*b^-2)^2*a^-2,
  a^-1*c^-1*a*b^-2*c^-1*a^4*b^-2*a^2*c^-2*b^-2*a*b^-2*c*b*a^-1*b^-1*a^2*b^-1*\
c^-1*b^-1*a^-1*b,
  a^-1*c^-1*a*b^2*a^-2*b*c^-1*a^2*b^-2*a^-2*b^-2*c*b*a*b^-2*c^-1*a*(b^-2*a^-2\
)^2, (a*b^-1)^2*b^-1*a^9*c*a^-2*b^-1*(b^-1*a^-1)^2*c^-1*b*a^3*b*a^-1*c*a*b^-1
    , a^-1*c^-1*a*b*a^-2*b^2*c*a^-11*b*a^-2*b^2*c*a^-1*b^-1*a^2*b*a^-1,
  a^-1*c^-1*a*b^-2*a^-1*c*a*b^2*a^2*b^-3*c^-1*a*b^-1*a^-1*(a^-1*b)^2*a^-1*b^-\
1*a^-1*c*a^2*b^-1*a^-2,
  a*b*(b*a^-1)^3*c^-1*(b^2*a^-1)^2*c*b*a*b^-2*c^-1*b^-3*a^-6*b^-1*c^-1,
  c*a*b^-1*a^4*b^3*c^-1*a^-9*b^-2*a^-2*b^-1*c*b*a*b*a^-2*b,
  a^-1*c^-1*a*b*c^-1*b^-1*a^3*b^3*c*a*b^-1*a*b*a^2*b^-1*c*b*a^2*b^-1*a^-1*(a^\
-2*b^-1)^2*b^-1, b^2*a*c^-1*b^-1*a^2*b*a^-1*c*a^12*b^-1*a^2*b*c*a^3*b*a^-2,
  b*a^-1*c^-1*a*b^-2*(b^-1*a^-1)^2*c*a^8*b^-2*(b^-1*a^-1)^2*c*a^2*b^3*a^-1*b^\
-1*a^-1,
  a^-1*c^-1*b^2*a^-1*b*c^-1*b^-1*a^-2*b*a*b^-1*a*c*b*a*b^-2*c^-1*b^-3*a^-1*(a\
^-2*b)^2*a^-2*b^-1*a^-1*b,
  a^-1*c^-1*a*b^-1*a^-2*b*a^-1*b^-1*c*a^9*b*a^5*b^-3*a^-1*b^-2*c*a^2*b^-1*(b^\
-1*a^-1)^2 ],
[ [ a*b*a^-1*c^-1*b, a*c^-1*b*a*b^-1, a*c^-1*b^-1*a^-1*b ] ]];
end,
[ 216 ]],
"PG1224936.1",0,-2,51,216]];

PERFGRP[362]:=[# 1231200.1
[[1,"abcde",
function(a,b,c,d,e)
return [[ c^2, (e*c)^2, b^-1*c*b*c, a^-1*c*a*c, a^-1*e^-1*a*e,
  b^-1*d^-1*b*d, a^-1*d^-1*a*d, b^-1*e^-1*b*e, (b^-1*a)^3, (d*c)^3,
  e*d^-1*(e^-1*d)^2*e, e*d^4*e^-1*d^-1, (a^-1*b^-1*a*b)^2, (a*b)^2*a*b^-4,
  a^4*(b^-1*a^-1)^2*b^-1, e^9 ],
[ [ a, c, d, e, b^2*a^-1*b^-1 ], [ a, b, d, e ] ]];
end,
[ 6, 20 ]],
"PG1231200.1",0,1,[ 3, 9 ],[ 6, 20 ]]];

PERFGRP[363]:=[# 1233792.1
[[1,"abcde",
function(a,b,c,d,e)
return [[ c^2, a^3, (c*e)^2, a^-1*c*a*c, a^-1*d^-1*a*d, b^-1*c*b*c,
  b^-1*e^-1*b*e, a^-1*e^-1*a*e, b^-1*d^-1*b*d, e^-1*d^2*e*d^-1, (c*d)^3,
  e^8, (b^-1*a^-1*b^-1*a)^2, d^8*e^-1*d*e, (b^-1*a^-1*b^-2*a*b^-1)^2,
  (a^-1*b^-1)^7, c*d^-1*e*d^-2*c*d*e*d*c*d^-1*e^2*d^-1*e ],
[ [ c, d, e, a*b*a^-1, a^-1*b*a ], [ a, b, e*d^-1, c*e^2 ] ]];
end,
[ 9, 18 ]],
"PG1233792.1",0,1,[ 4, 7 ],[ 9, 18 ]]];

PERFGRP[364]:=[# 1244160.1
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^2, c^2, d^2, b^2, a^3, e^3, (a*c)^2, e*f*e^-1*f, (c*d)^2,
  (f*d)^2, d*e^-1*d*e, (b*c)^3, e^-1*b*a^-1*e*a*b, f*b*a*f*a^-1*b, (d*a)^3,
  (b*a^-1)^3, e*b*d*a^-1*e^-1*a*d*b, a*e^-1*a^-1*e*a*e*a^-1*e^-1,
  (a^-1*d*a*f)^2, f*a^-1*e^-1*a*f*a^-1*e*a, f*a^-1*(f*b)^2*f*a, (d*b)^4,
  e^-1*c*f*c*e*c*f*c, d*a*e*a^-1*d*a*e^-1*a^-1, a*e^-1*a^-1*f*a*e*a^-1*f,
  (a^-1*f*a*d)^2, (f*c)^4, a*f*c*(a^-1*f)^2*c*f,
  c*e*a*e^-1*c*e^-1*a^-1*e*a^-1, (d*c*b)^3, a*e*a^-1*b*c*e*c*b*e^-1,
  b*c*f*c*b*a^-1*f*a*f, (d*b*a)^3, (d*b*a^-1)^3,
  a^-1*b*d*b*a^-1*b*d*a*b*a*d*b, (b*d*b*a^-1*f*a)^2, (b*d*b*a^-1*d*a)^2,
  d*b*a*e*a^-1*b*d*b*a*e^-1*a^-1*b, d*c*e*d*c*a*e*c*a^-1*e^-1*c*e^-1*a ],
[ [ a, b, c, d, e ], [ a, b, c, e, f ],
  [ b*a^-1, c*a^-1, d, f, a*e*a^-1, a*f*a^-1 ] ]];
end,
[ 16, 16, 15 ]],
"PG1244160.1",0,1,1,[ 16, 16, 15 ]],
# 1244160.2
[[1,"abcde",
function(a,b,c,d,e)
return [[ c^2, b^2, a^3, e^3, d^4, d*e*d^-1*e^-1, c*d^-1*c*d, (c*a^-1)^2,
  (a*b)^3, a^-1*e^-1*a*b*e*b, (b*c)^3, e*b*d^-1*b*e^-1*b*d*b,
  a*(e^-1*b)^2*e*a^-1*e, a^-1*d^-1*a*e^-1*a^-1*d*a*e,
  a*e*c*e*a^-1*e^-1*a^-1*c*e^-1, a*e^-1*a^-1*b*c*e^-1*c*b*e,
  d*a*d^2*a^-1*d^-1*a*d^-2*a^-1, d^-1*b*a^-1*b*d^2*b*a*b*d^-1,
  d*b*d^2*b*(a^-1*d)^2*a^-1, d*a*d^-1*a^-1*d^-2*a*d*a^-1*d,
  a*d*(a^-1*d^-1)^2*d^-1*a^-1*d*a^-1*d^-1,
  d^-1*b*a*e*a^-1*b*d*b*a*e^-1*a^-1*b,
  a*b*d^-1*a*d^2*b*d^-1*a^-1*d^-2*a^-1*b*d,
  a^-1*d*a*d^2*b*d^-1*b*a^-1*d*a*b*d^-1*b,
  a^-1*d^2*a^-1*d^-1*a^-1*d*a^-1*c*a*d^-1*c*a^-1*d,
  a^-1*d^-1*b*a^-1*d*a*d*a^-1*b*a*d*a*b*d^-1,
  a^-1*b*(a*d)^3*b*(d^-1*a^-1)^2*d^-1,
  b*a^-1*d*b*a^-1*b*e*a^-1*b*a^-1*d^-1*b*a^-1*b*e^-1*a^-1,
  d*b*a*b*d*b*d^-1*a^-1*d*b*a^-1*(b*d)^2*a,
  b*a^-1*d*a*b*a*e^-1*a^-1*b*a^-1*d^-1*b*a^-1*b*e*a^-1,
  a^-1*d^-1*a*d*a^-1*d*a*b*d^-1*(a*d)^2*a*b*d^-1,
  b*a*d*a^-1*d^-1*a*b*d*a*d^-1*b*d*a^-1*d^2*a^-1*d^-1, (d*a*d^-2*a*b)^3,
  d^-1*a*d*a*d^-1*b*d*a*d*b*d^-1*a^-1*b*d*a*d^2*b,
  d*a^-1*b*(d^-1*a^-1)^2*d*b*d^-1*a^-1*d*a^-1*d^-1*b*d^-2*a^-1*d,
  a^-1*b*a*d*b*(a*b*d^-1)^2*a*d^-1*a^-1*d*b*d^-1*a*d,
  b*a^-1*d^-1*a*d*(d*b)^2*a*b*d*a*d*b*d*a*d^-2,
  d*(d*a^-1)^2*d^-1*(b*d^-1*a)^2*(d^-1*a^-1)^3*b,
  c*b*a*b*d^-1*a*b*c*a*d*b*a*d^-1*a^-1*d*b*a^-1*d^-1*a^-1*d,
  d*a*b*d*a^-1*d*(d*a*b)^2*d*a*d^-1*a^-1*d^-1*b*a^-1*d^-2*a^-1,
  c*a*b*a^-1*d*a^-1*d^-1*a^-1*b*d^-2*c*b*a*d*a^-1*d*b*a*d^-1*b*a^-1*d^-1*a*b,
  c*d^-1*a*b*d^-2*a^-1*d*a*b*a^-1*d^-1*a*d*c*d*a^-1*d*a*d*a^-1*b*d*b*a^-1,
  (a^-1*d^-1*a^-1*b)^2*a^-1*d*a^-1*d^-1*b*a^-1*d^-1*a*d^-1*a^-1*b*d*a*d*a^-1*\
b*a*d^-1,
  a^-1*d^2*a^-1*e^-1*a*d*a*d^-1*a*d*e*a*d^-1*a*d*a^-1*d*a*b*a^-1*d^-1*a*d^-1*\
a^-1*d^-1*a*d*b*d,
  a^-1*d*b*c*a^-1*d^-1*a*b*a^-1*d^-1*a*d^-1*a^-1*d*a^-1*c*d^-1*a^-1*b*d^-1*a^\
-1*d^-1*a*b*d^-1*a^-1*d*b*d*a^-1*c*d ],
[ [ b*a^-1, c*a^-1, d, a*e*a^-1 ],
  [ b*a, c*a, e, a*d*a^-1, a^-1*e*a, d*a^-1*d^-1*a ] ]];
end,
[ 15, 40 ]],
"PG1244160.2",0,1,1,[ 15, 40 ]],
# 1244160.3
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ d^2, c^2, b^2, f^2, e^3, a^3, (c*a)^2, f*e^-1*f*e, (c*d)^2,
  (d*f)^2, d*e^-1*d*e, (a^-1*f*c)^2, (b*c)^3, a^-1*e^-1*a*b*e*b, (f*a)^3,
  (d*a)^3, (b*a^-1)^3, e*a*e*a^-1*e^-1*a*e^-1*a^-1, b*f*b*e^-1*b*f*b*e,
  b*d*a^-1*e*a*d*b*e^-1, f*a*e*a^-1*f*a*e^-1*a^-1, (b*f)^4, (a^-1*d*a*f)^2,
  (d*b*f*b)^2, (d*b)^4, d*a*e*a^-1*d*a*e^-1*a^-1, (b*d*c)^3,
  c*a*e*a*e^-1*c*e^-1*a^-1*e, a*e^-1*a^-1*b*c*e^-1*c*b*e, (a*b*d)^3,
  (a^-1*b*f)^3, c*b*f*b*c*a*b*f*b*a^-1, (b*d*b*a)^3,
  a*b*a*e*a^-1*b*a*e^-1*c*a^-1*e*c, (f*c*b*f*b*c)^2, (b*f*b*a)^3,
  (a*b*d*b*a^-1*f)^2, (a^-1*b*f*b*a*f)^2, (d*a^-1*b*f*b*a)^2,
  e^-1*a^-1*b*f*b*a*e*a^-1*b*f*b*a, (b*d*b*a*f*a^-1)^2,
  d*b*a*e*a^-1*b*d*b*a*e^-1*a^-1*b, (a*b*d*b*a^-1*d)^2 ],
[ [ a, b, c, d, e ], [ a, b, c, e, f ],
  [ b*a^-1, c*a^-1, d, f, a*e*a^-1, a*f*a^-1 ] ]];
end,
[ 16, 16, 15 ]],
"PG1244160.3",0,1,1,[ 16, 16, 15 ]],
# 1244160.4
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^2, e^2, (d*e)^2, a^-1*b*e*b^-1*a*e, b^-1*d*b*a^-1*d*a,
  d*b^-2*d*b^2, b*e*b^-2*e*b, c^-2*d*c^2*d, c^2*e*c^-2*e,
  a^-2*e*a^2*b*e*b^-1, (e*c^-1)^2*(e*c)^2, (b^-1*d*b*e)^2,
  (d*b^-1)^2*(d*b)^2, a^-1*b^-1*d*b*a^2*d*a^-1, (e*b)^2*(e*b^-1)^2,
  (a*d*a^-1*e)^2, e*b^-1*c*e*c^-1*b*a^-1*e*a, a*d*a^-1*b*c^-1*d*c*b^-1*d,
  e*c*b*e*b^-1*e*c^-1*b^-1*e*b, d*a*c^-1*a*c*d*c^-1*a^-1*c*a^-1,
  c*a*c*b*e*b^-1*c^-1*a^-1*c^-1*e, c*a*c^-1*d*c*a^-1*c^-1*b^-1*d*b,
  e*(a*c^-1)^2*e*(c*a^-1)^2, c^-1*a^-1*c^-1*d*(c*a)^2*d*a^-1,
  b^-1*a^-1*e*a*b^2*a^-1*e*a*b^-1, b^-2*a*d*a^-1*b^2*a*d*a^-1,
  a*c^-1*d*c*a^-1*b^-1*a*d*a^-1*b*d, c^-1*a*c*a^-1*e*a*c^-1*a^-1*c*b^-1*e*b,
  b^-1*c^-1*a^-1*c*a*d*a^-1*c^-1*a*c*b*d, c^-1*a*d*a^-1*c*a^2*c^-1*d*c*a^-2,
  a^-1*b^-1*a^-1*e*a*b*a*b^-1*a^-1*e*a*b,
  a^-1*b*a*d*a^-1*b^-1*a*b*a*d*a^-1*b^-1,
  a*b*a^-1*e*a*b^-1*a^-1*b*a^-1*e*a*b^-1, a^-2*b^2*c*a^-1*c^-2*a^-1*b^2*c,
  b^-1*a^-1*b*(b*c*a^-1)^2*a^-2*b*c^-1, a^-2*c^-1*a*(c*a^-1)^2*a^-1*c^-2*a*c,
  a*(c*a^-1)^2*c^-1*b^-2*a^-2*b^2*c^-1,
  c^-1*a*c*a^-1*b^2*a^-1*c*a^-1*c^-1*b^-2*a^2,
  c^-1*a^-1*c*a^2*b^-2*a^-2*b^2*c*a*c^-1,
  a^-1*c*a^-3*b^2*c^-1*a^-1*b^2*c*a*c^-1, b^3*c*b^-2*a^2*c^-1*a^-4*b,
  a*c*a^2*(b^-2*a*c^-1)^2*a^-1*c, c*b^-2*a*c^-1*a^-1*c*a*c^-1*a^-1*b^-2*a^4,
  b^-1*c^-1*(b*c)^2*b^-2*a^-1*b^2*a*(a*c^-1)^2,
  c^-1*b^2*c*a*c*a^-1*c^-1*b^-2*a^-1*c*a^-1*c^-1*b^-2*a,
  a^-5*b^2*a*c*b^-2*c*a^-1*c^-1*b^-2*a*c^-1,
  b^-1*a^-2*c^-1*a*c*a^-1*b^2*a*b*c*b^-2*a^3*c^-1,
  b^-4*a^2*c*a^-1*c^-1*b^-2*a^-1*c^-1*a^-2*c*a^2,
  a^-1*b^-1*a^-1*b*a^-1*c^2*a^2*c^-1*b^4*a^-2*c^-1*a^-1*b^-1,
  a^-1*b^-2*a*c^-1*a^-1*c*b*a*b^-2*a^3*c*a^-1*c^-1*b^-2*a*b*a^-1,
  b^-1*a^-1*c^-1*a*c*a^-1*b*a*c^2*a^2*c^-1*a^-1*b^-2*a*c^-1*a^-1*c*a^-1*c^-1,
  b*c^-1*a*c*a^-2*b^-1*a^-2*c^-1*a*c*a*c^-1*a*b^2*c^-1*a^-2*b^2*c*a*c,
  a*c^-1*a^3*c^-1*b^2*c^-1*a^-2*b^2*c*a*c^2*a*b^-1*c*a^2*b^-2*a*c^-1*b*a,
  c*b*a^-3*(a^-2*b^2*c^-1)^2*a^2*c*a^-1*b^2*a^-2*c*a^-1*c^-1*b^-2*a*b^-1*c^-1\
*b^-1 ],
[ [ a, b, c, d ],
  [ b*a^-1, b^-1*a^-1, c*a^-1, c^-1*a^-1, e, a*d*a^-1, a*e*a^-1 ],
  [ b*a^-1, c*a^-1, c^-1*b, d, e, a*c*b^-1*a^-1, a*e*a^-1, a^-2*b,
      a^-1*b^-2*a, a^-1*c*a^-2, a^2*b*c^-2*b^-1*a ] ]];
end,
[ 16, 10, 15 ]],
"PG1244160.4",0,1,1,[ 16, 10, 15 ]],
# 1244160.5
[[1,"abcd",
function(a,b,c,d)
return [[ d^4, b^-1*d^-1*b^2*d*b^-1, (c^-1*b)^3, d*c^2*d^-1*c^-2,
  d*b^-1*d*(b*d^-1)^2*b^-1, b*c^-2*b^3*c^-2, c^-1*d*(c*d^-1)^2*c^-1*d,
  a^-1*d^2*a*b^-1*d^-2*b, c^-2*b^-1*c^4*b^-1,
  a^-1*d*c*d^2*c^-1*a*b*d^-1*b^-1, c*d*c^-1*b^2*c^-1*d^-1*c*b^-2,
  b^-1*c*b^-1*d*b*d*c^-1*d^-1*b*d^-1, a^-1*d*a^-1*b^-1*d^2*b*(a*d^-1)^2*d^-1,
  b^-1*a^-1*d^2*b*d^-1*b^-1*a*d^-1*b*c^-1*d*c,
  b*c^-1*b^-1*d^2*b*d^-2*c*d^-2*b^-1*d^-2,
  a^-1*c^-1*b^2*a^-1*c*d^-1*c^-1*a*b^-2*c*a*d,
  c^2*a*d^-1*a^-1*b^-1*c^2*b^-1*a*d*a^-1*b^-2,
  a^-1*c^-1*b^2*a^-1*b^-2*a*c*b^-2*a*b^2,
  c^-1*a^-1*c*d^-1*b^-1*d*b*c^-1*a*c*b^-1*c*d*c^-1*b,
  a^-1*c*d*b*d^-1*b^-1*c^-1*a*d^-1*b^-1*d^-1*c*d*c^-1*b,
  c*a^-1*d*a^-1*b*d^-1*b^-1*a*d*a*d^-1*c^-1*b^-1*d^-2*b,
  a*d^2*a^-1*d*b*d^-1*b^-1*a*d^-2*a^-1*b^-1*d*b*d^-1,
  a^-3*d^2*b^-1*d^-1*b*a^3*d^-1*b^-1*d*b*d^-1,
  a*c^-1*b^-1*d^-2*b*c*d*a^-2*b^-1*d*b*a*d^-2,
  a^-1*d^2*b^-1*d^-1*b*a*d^-1*c*b*c^-1*d^-1*c*d*b^-1*d*c^-1,
  c^-1*a^-1*b*c^-2*b*a*c*a^-1*c^2*b^-2*a^-2*c^-2,
  c^-1*a^-1*b^2*c^-1*a^-1*b^-1*c*b*c^-1*b^-1*c^-1*a^-1*b*c^-2*b*a,
  a^-1*d^2*b^-1*d*b*c^-1*d*c*a*d^-1*c^-1*b^-1*d^-1*b*d^-2*c,
  d^-1*c^-1*a^-1*b^-1*c^2*b^-1*a*c^-1*d*c*a^-1*c^2*b^-2*a*c,
  b^-1*a^3*b*(a^-1*b^-1*c^2)^2*b^-1*a*b^-1*a^-2,
  a^2*b*a^-1*b^-1*c^2*(b^-1*a)^2*b*a^-1*c^2*b^-2*a*b^-1,
  c*b^-1*c^-1*b*a^-1*b*c^-2*b*a*b^-1*c^-1*a^-1*c^-2*b^2*a*b*c,
  c*a*b*a^-1*b^-1*c^2*b^-1*a*b^-1*a^-1*b^-2*c^-1*a^-1*b*c^-2*b*a,
  a*b^-1*c^2*(b^-1*a)^2*a^2*b*a^-1*b^-1*c^2*b^-1*a^-1*b^-2*c^2,
  a*b^-1*c^2*b^-1*a*c*a*b*a^-1*b^-2*c^2*a*b^-1*a^-1*c*b^-2*a,
  b*d*b^-1*c^-1*a^-1*b^-1*c^2*b^-1*a*c*b*d^-1*b^-1*c^-1*a^-1*c^2*b^-2*a*c,
  a^-2*b^-1*c^2*b^-1*a^-1*b*c^-1*b^-1*a^-1*b^-2*c^2*a*b^-1*a^-3*c^-1*b,
  a^-1*c^-2*b*a*b^-1*c^2*b^-1*a*b*a^-1*b^-2*c^-1*a^-1*b^-1*c^2*b^-1*a*c*b,
  d^-1*c*d*b*c^-1*d^2*(b*d*c^-1)^2*a*d^-2*a^-1*b*d^-1*c^-1*d*c*b^-1*c^-1,
  b*c*b^-1*c^-1*a*b*a^3*b*a^-1*b^2*c^-2*a*b^-1*a^3*b*a^-1*b^-1*c,
  d*b^-1*c^-1*d*c*b*a^-2*d^2*b*d^-1*c^-2*b*a*b^-1*a^-3*c^-1*d^-1*c*d^-1*b*d^-\
1*a*b*a^-1*c^2*b^-2*a*b^-1 ],
[ [ b*a^-1, c*a^-1, c^-1*b, d, a^-2*b, a^-1*b^-2*a, a^-1*c*a^-2,
      a^3*b^-1*a^-1 ],
  [ a, b, c^-2, c*d*c^-1, c*(b*a)^2*b^-1*c^-1, c*b*(a*b^-1)^2*c^-1,
      c*b*a*c*a*b^-1*c^-1 ] ]];
end,
[ 15, 20 ]],
"PG1244160.5",0,1,1,[ 15, 20 ]],
# 1244160.6
[[1,"abcd",
function(a,b,c,d)
return [[ d^2, c^-2*d*c^2*d, b^-1*d*b*c*d*c^-1, a^-1*c*d*c^-1*a*d,
  b^-1*c*d*c^-1*b*d, b^6, c^-1*b^-2*c*b^2, c^6, c^-2*b^-1*a^-3*b,
  (d*c)^2*(d*c^-1)^2, a^-1*d*a^2*c*d*c^-1*a^-1, c*a^-1*d*a*c^-1*a^-1*d*a,
  a*(b*a^-1*b)^2*a*b^-1, a^-3*(c*b^-1*c)^2, a^-1*b^3*a^-2*b^-1*a*b^-1*a^-1,
  c*a^-2*b^2*a*c^2*a*c, b^2*(c*a*c^-1*a)^2, a^-1*b^2*a*c*a^-1*c^2*a*c,
  b^-2*c*a*c^-2*b^2*a^-1*c, c^-1*a^-1*b^-2*a*(b^-1*c)^2*b^-1,
  b^-2*a^-1*c^-1*a^-1*b^2*a*c*a, (c*a^2)^2*c*a^-1*c*a^-1,
  c^-2*b*a*b^-1*c^2*b*a^-1*b^-1, c^2*b^-1*c^-2*b*c^-2*a^-3,
  b^-2*a^-1*c*a^-2*(c*a)^2*c*a^-1, a*b*a*(b^-1*a^-1)^2*b^2*a^-1*b^-1*a,
  c^-2*b^-1*c*(a*c^-1)^2*a^4*c^-1*a*b^-1,
  b*a^-1*d*a*b*c*b^-1*c^-1*b^-1*a^-1*d*a*b*c*b^-1*c^-1,
  a^-1*c*b*a^-1*d*a*b^-1*c^-1*a*c*b*a^-1*d*a*b^-1*c^-1,
  a*b^-1*c^-1*d*b*a^-1*d*a*b^-1*c*d*a^-1*d*a*b*a^-1*d,
  (b^-1*a^-1*d*a*b^-1*a*c^-1*a*c)^2,
  b*c^-1*a^-2*c*a^-1*b*c*a*c^-1*b^2*a^-1*b^-1*c*a*c^-1*a^2,
  b*c*a*c^-1*a*b^-1*c^-1*a^-1*c*a^-1*b^-1*a^-1*c*a^-1*c^-1*b^-1*c^-1*a^-1*c*a\
^-1, (a^-1*c^-1)^2*b*(c*a*c^-1*a*b^-1)^2*(a^-1*c^-1)^2*b^-1,
  b*a^2*b^-2*c*a*c^-1*a^-1*b^-1*c*a*b^-1*a^-1*c*b^2*a^-1*c*b*c*a,
  b*a^-1*d*a*b^-1*a^-1*(a^-1*c^-1)^2*b*a^-1*d*a*b*c^-1*a^-2*c^-1*b^2*a^-1,
  c*a*b^2*a*b^-1*a^-1*c*a^-1*(b*c)^2*a^-2*c^-1*b*a^-1*c*a^-1*c^-1*b^-1,
  a^-1*c*a^-1*(c^-1*a)^2*c*b^-1*c^-2*a^-1*c*b*a^-1*c*a^-1*c^-1*b*a^-1*c*b^3,
  c*a^-1*c*b^-1*a^-1*c*a^-1*c^-1*b^-1*c*a*c^-1*a*b^-1*a^-1*b^2*c*a^-1*c*b^-1*\
a^-1*b^2,
  a*c*a*d*c*a^-1*c^-1*a^-1*b^-1*c*b*a*d*c*a^-1*b*(a^-1*c)^2*a*c^-2*b*a,
  c^-1*a^-1*c^-1*b^-1*a*b*a^-1*c^-1*a*b^-1*c^-1*b^-1*a^-1*c*a^-1*c^-1*b^-1*c*\
b*a^-1*c*a^-1*c^-2*b,
  c^-1*b*a^-1*b^-1*c*a^-1*c^-1*a*b^-1*a^-1*b^-1*c*a*c^-1*a^2*b*a^-1*c*a^-2*c^\
-1*b*c*a^2,
  a*c*a^-1*b*a*b^-1*c*a^-1*c^-1*b^-1*c*a*c*a^-1*c*a*c*b^-1*(c^-1*a)^2*b^-1*a*\
c^-1*a,
  d*a*c^-1*b*a^-1*c*a^-1*c^-1*b*a^-2*c^-1*a*c*a^2*d*a*b^-1*a^-1*c*a^-1*c^-1*b\
*a*c*b^-2,
  c*a^-1*b^-1*c^2*a^-1*c*a*c*b^-1*c^-2*a^-1*b*(c^-1*a)^2*a*b^-1*a*c^-1*a*b*a^\
-1*c*a^-1*c^-1*b ],
[ [ a, b, c ], [ b*a, b^-1*a, c, d ],
  [ b*a^-1, d, a*d*a^-1, a^-2*b, c*a^-1*c^-1*b, a^2*c*a^-1*c^-1 ] ]];
end,
[ 16, 16, 60 ]],
"PG1244160.6",0,1,1,[ 16, 16, 60 ]],
# 1244160.7
[[1,"abcde",
function(a,b,c,d,e)
return [[ e^3, d^4, d^-1*e^-1*d*e, b^-1*d^-1*b*d^-1, a^-1*d^-2*a*d^-2,
  c^-1*a*e*a^-1*c*e^-1, c*e*c^-2*e^-1*c, b*e^-1*b^-2*e*b, c*d^-1*c^-2*d*c,
  a^-2*e*a^2*c*e^-1*c^-1, b^-1*e*b*e^-1*b^-1*e^-1*b*e,
  e*c*d^-1*c^-1*e^-1*c*d*c^-1, e*c*e*c^-1*e^-1*c*e^-1*c^-1,
  b*a^-1*e^-1*b*e*a^-1*b^-1*a^-1, a^-1*e^-1*a*d*a^-1*e*a*d^-1,
  c*a^-1*e^-1*a*c^-1*a^-1*e*a, d^-2*b^-1*c^-1*b*e^-1*c*b*c^-1,
  b^-1*e*b*e^-1*a*d^2*e*a^2, d^-1*c*d^-2*c^-1*d*c*d^-2*c^-1,
  a^-1*e*a^-1*d*a*e^-1*a^2*d^-1*a^-1, e*a^-1*e^-1*b^-1*e*b*a^-5,
  c^-1*a^-1*e^-1*c*d^2*c^-1*e*a*c*d^-2, d^-1*a^3*e^-1*d*b*a^-2*e*a^-1*b^-1,
  c^-1*b*e*b^-1*c*d^-2*a^-1*e*a^-2*e^-1, a^2*e^-1*a*d^2*e*c^-1*b*e^-1*b^-1*c,
  a*b*e*a^-1*e^-1*a*b^-1*e^-1*a^-1*b^-1*e*b,
  b*d^-1*a*e^-1*a^2*d^-1*e*b^-1*a*e*a^-1, a*e^-1*a*d^2*a*b^-1*a*e*a^-1*b*e,
  d*e^-1*b*e^-1*d^-1*a*e^-1*a*b^-1*a^-1*b*e*a^-1,
  b^-1*d^-1*b^-2*d*a*e*b*a*b^-1*e^-1*a^-2,
  a^-1*e*a*b^-1*c^-1*a*b^-1*e^-1*b*a^-1*c*e*b,
  d^-2*a^-1*e^-1*a^-1*e*c*a^-1*b*e*b^-1*a*c^-1*a^-1,
  d^2*e^-1*b^-1*a*e^-1*a*d^2*b^-1*e^-1*a^-1*b*e^-1*a^-1,
  c*a^-1*e*a*e^-1*c^-1*b^-1*a*d^-2*(e^-1*a)^2*b,
  d^-2*e*a^2*e^-1*a*c*d^-2*e^-1*a^3*c^-1*e,
  c*a^-1*e*a*d^-2*c^-1*a*e^-1*c^-1*e^-1*d^-2*c*e*a^-1,
  a^-3*c^-1*b^-1*e^-1*b*e*c*e^-1*a*e^-1*a^-1*b*e*b,
  a^-1*e^-1*c*a^-1*c*d^-2*e^-1*a^-1*e*c^-1*a^-1*e^-1*d^-2*e*c^-1,
  e^-1*a*c^-1*e^-1*a*d*a^-1*c^-1*d^2*a^-1*e^-1*(c*d^-1)^2*d^-1,
  b^-1*a^-1*b*c*e^-1*a*e^-1*c^-1*d^-1*b*c*e*a^-1*e*c^-1*a^-2,
  c^-1*a^-1*b^-1*c^-1*b*c*b*a^-2*e*a*e^-1*c*a^-1*c^-1*(a*e)^2,
  c*e*a^-1*e*c^-1*a^-1*d^-2*(e^-1*c^-1)^2*d^-2*e*a*c*e^-1*a*c,
  c*a^-1*e^-1*d^-1*c^-1*d^-2*a*c*a^-1*e*d*e*a*e^-1*a*e*c^-1*a^-1*e^-1*d^-1,
  a*b^-1*c*d^-2*c^-1*b*a^-1*c*d*c^-1*a*b^-1*c*d^-2*c^-1*b*a^-1*c^-1*d^-1*c,
  c^-1*a^-1*d^2*c*a^6*c^-1*d^-2*a*c*e*d^-2*a^3*e^-1,
  e^-1*c^-1*e*d^-1*a*c*a*d*a^-1*e^-1*d*c^-1*d^-2*a*c*e^-1*a^-1*e*a^2*e^-1*a,
  c*b^-1*a*e^-1*a^-1*b*e^-1*c^-1*d^-2*a*c*(e^-1*a^-1)^2*a^-1*d^-2*e*c^-1*a^-1\
*e^-1*d^-2,
  d*e*c*e*a^-1*e*c^-1*e*a^-1*e^-1*c*a^-1*e*c^-1*a^-1*c*d^2*c*d*e^-1*a*c^-1*e^\
-1*c^-1*a^-1,
  a^-1*e^-1*a*d^-1*e^-1*c^-1*e*a*d^-2*c*e^-1*a*e^-1*c*e*a^-2*d^-2*c^-1*a*b^-1\
*e*b*d^-1,
  a^-2*e*a*d^2*c*e^-1*a*c^-1*e*c^-1*e^-1*a^-1*e^-1*d^-2*c*e*a*b^-1*c*d^-2*c^-\
1*b,
  a^-2*d*c^-1*a*d^-2*e^-1*c*e^-1*a^2*e*d^-2*e^-1*a*e*c^-1*a^-1*d^-2*c*e*d*a^-\
1,
  d^-1*a*c*(e^-1*a)^2*e^-1*c^-1*d^-2*a*c*a^-1*e^-1*c^-1*a^-1*e^-1*a^-1*e*a*d^\
-1*c*e^-1*a*c^-1*a,
  c^-1*d^2*a*e^-1*c*a^-1*e^-1*c^-1*a^-1*e^-1*d^-2*c*d*e^-1*a*e*c^-1*a^-1*d^-2\
*c*e*d^-1*a^-1*d^-1,
  e^-1*c*a^-1*c^-1*d^-2*e*a^-1*e^-1*c^-1*a^-1*e*a*d^-2*e^-1*b*e^-1*b^-1*a^-1*\
c*e^-1*a*e*a*d^-2,
  c*e*c^-1*a^-1*e^-1*c*e*a^-1*c^-1*d^2*b^-1*e^-1*b*a^-1*e*a^-1*e^-1*a*c^-1*d^\
-2*a^-1*c*e*b^-1*e*b,
  d*a*e^-1*d*c^-1*d^-2*e*a*c*(e^-1*a)^2*d*c^-1*a*d^2*c*a*c^-1*a^-1*e*b^-1*c^-\
1*b*c*b,
  a^-1*d^-1*c^-1*d^2*a*e^-1*c*a^-1*e*a*e^-1*a^2*c*(d^-1*c^-1)^2*e^-1*a^-1*e*a\
^2*e^-1*c^-1*a*c^2,
  d^-1*c*d^2*e*a*c*e^-1*a*e^-1*c^-1*d*e*a^-1*e*c^-1*a^-1*e^-1*d^-1*b^-1*c^-1*\
e*a*e^-1*d^-2*c*e^-1*a*b,
  d^-1*e*a*c*a*e^-1*c*a^-1*c^-1*a^-1*(d^-2*c*e^-1)^2*a*e^-1*c^-1*a*d*c^-1*d^2\
*a^-1*c*a^-1*c^-2,
  d*c*e*a^-1*e*c^-1*a^-1*e^-1*d^-1*a*e*c^-1*e^-1*a*d^2*c*a^-1*d*c^-1*e*c^-1*d\
*e*a*c*e^-1*d^-2*c*e,
  a^-1*e^-1*c*a^-1*e^-1*c^-1*a*c^-1*d^-2*e*a*c*a*d^-2*e^-1*c*a^-1*c^-1*a^-1*d\
^-2*c*e*d^-2*c^-1*e*a^-1*e,
  c*e*a^-1*e*c^-1*a^-1*e^-1*d*a^-1*e*c^-1*a^-1*d^-2*e^-1*c*e^-1*a^-1*c^-1*a*e\
*b^-1*e*b*c^-1*d^2*e*a^-1*e^-1*c^2*d^-1,
  b^-1*a^-2*d*e*d*a*c*e^-1*a*c^-1*a*e^-1*d*a*b*c^2*d^-2*e^-1*c^-1*e*a^-1*e^-1\
*c^-1*a^-1*d^-2*c*e^-1*a*c^-1*a*e^-1,
  a^-1*d^2*e^-1*(a^-1*e*c^-1)^2*d^-1*c*a*c*e^-1*a*c^-1*d^-2*e*a*c*e^-1*a*d*c*\
e^-1*a^-2*d^-2*c^-1*d^-2*e^-1*a^-1,
  b^-1*c*e*c^-1*a^-1*c*d^-2*e*c*e^-1*a*e^-1*c^-1*e*c^-1*a^-1*e^-1*a*d^2*b*c*e\
^-1*a^-1*e*c^-1*a^-1*e^-1*a^-1*d^-2*e*a*e^-1*c*a^-1*c^-1*a^-1*d^-2,
  c^-1*d^2*a^-1*c*e*d*c*d*a*e^-1*c^-1*d^-2*e*a*c^-1*e^-1*a^-1*d*e^-1*c^-1*d^-\
2*e*a*c*e^-1*a^2*e^-1*c^-1*d^-2*e*a*c*a*e^-1*c*a^-1,
  b*c*e*c^-1*a^-1*c*d^-2*e*c*e^-1*a*e^-1*c^-1*e*c^-1*a^-1*e^-1*a*d^2*b^-1*c*e\
^-1*a^-1*e*c^-1*a^-1*e^-1*a^-1*d^-2*e*a*e^-1*c*a^-1*c^-1*a^-1*d^-2,
  d^2*a*c*a*(c^-1*e)^2*d^-1*a^-1*e^-1*a*c^-1*d^-2*e*a*c*e^-1*a*e*c^-1*d^-2*e*\
a*c*e^-1*a*d*c*d^-2*a*c*a*c^-1*e*a^-1*e^-1*a,
  d*c^-1*d^2*a*e^-1*c*a^-1*e*a*e^-1*a*d*e^-1*c^-1*d^-2*a*c*e^-1*a^-1*e*a*(a*d\
*e^-1*c^-1*d^-2*e*a*c*e^-1)^2*a,
  b^-1*c*e*c^-1*b*e*b^-1*(c^-1*d^-2*e*a*c*e^-1*a)^2*b*a^-2*e^-1*a*e*c^-1*d^-2\
*a^-1*c*e^-1*a*e^-1*a^-2*e*c^-1*d^-2*a^-1*c^-1,
  e*c^-1*a^-1*d^-2*e^-1*c*a^-1*e^-1*c^-1*e*d^-2*a*c*a*c^-1*e*a^-1*(e*c^-1)^2*\
a^-1*e^-1*d^-2*c*e*d^-2*a^-1*e*a*c*e^-1*a^2*c*a*d^-2*c*e*a*c^-1*e*a^-1*d^-2*c\
*e*a^-1*c^-1,
  a^-1*e*c^-1*e^-1*c^-1*a^-2*c*a^-1*e*c^-1*d^2*e*c^-1*a^-1*e^-1*d^-2*c*e*a*e^\
-1*c^-1*d^-2*e*a*b*e^-1*b^-1*c^2*e*a^-1*e*c^-1*a^-1*(e^-1*a)^2*c^-1*a^-1*d^-2\
*c^2*a*c^-1*d^-2*a*c*a^-1*e*c,
  c*d^-2*b^-1*e*a^3*b*a*e^-1*c^-1*d^2*a*c*e^-1*a^-1*e*a*e*c^-1*a*d^2*(a*e)^2*\
c*a^-2*c^-1*a^-1*e^-1*d^-2*c*d*a^-1*e*c^-1*a^-1*e^-1*d^-2*c*d^-1*(e*a^-1)^2*e\
^-1*c^-1*a^-1*e^-1*d^-2*c*e^-1*a^-1*e*c^-1*a^-1*e^-1*d^2*a ],
[ [ b*a^-1, d, e, a*e^-1*b, a^-1*c^-2*a, a^-1*d*a, b^-1*c^-2*a^-1,
      c*a^-1*c^-1*b, c^2*a*b, c*d*c^-1 ],
  [ c^-2, e, a*c*b*a^-1, a*c^-1*b^-1*a^-1, a*e*a^-1, a^-1*b*d^-1*a^-1,
      a^-1*b^-1*d*a^-1, a^-1*e*a, b^2*c^-1, b*c^-2*b^-1, d*c*d,
      a*b*a^-1*c^-1*a ] ]];
end,
[ 60, 40 ]],
"PG1244160.7",0,1,1,[ 60, 40 ]],
# 1244160.8
[[1,"abcd",
function(a,b,c,d)
return [[ d^2, a*d*a^-1*c*d*c^-1, d*c^-2*d*c^2, b*c^-1*b^-2*c*b, b^6, c^6,
  b*d*b^-2*d*b, a^-1*d*a*d*c*d*c^-1, b^-1*a^3*b*c^2, b^-1*c^-2*b*a^-3,
  (b^-1*d)^2*(b*d)^2, b^-1*c^2*b^-1*c*a^-3*c,
  a^-1*b^-1*d*b*a*c*b^-1*d*b*c^-1, c^-1*b*d*b^-1*c*a^-1*b*d*b^-1*a,
  b^2*a*c*(b*c^-1)^2*b*a^-1, b^2*a^-1*b^-2*c^2*a*c^-2,
  a^-1*c^-1*a^-1*b^2*a*c*a*b^-2, a^-1*c^-2*a*b^-2*a*c^-2*a^-1,
  (c^-1*b)^2*a*c^-2*a^-1*c^-1*b, c*a^-1*(c*a^2)^2*c*a^-1, (c*(c*b)^2)^2,
  b*c^-1*b*c*d*c^-1*b^-1*d*c*b^-1*d, b*a^-2*b*a*c^-2*b^-1*c^-2*a,
  c^-1*b^-1*a^-1*b^-2*a*b^-1*c^-1*a^-1*b^2*a^-2,
  b*c^-1*b^-1*c^-1*b*d*c*b^2*a*b^2*d*a^-1,
  c*b*c^-1*b^-1*c*b^-1*d*b^-1*c^-1*b*c*b*c^-1*d,
  (a^-1*b^-1)^2*(b^-1*a)^2*c^-1*b*c*b^-1*c^-1*b,
  b*a^-1*c^-1*b*c*b^-1*c^-1*b^-1*a*c*b^-1*c^-1*b*c,
  a*c^-1*a*b^-1*d*b*(a^-1*c)^2*b^-1*d*b*c^-1,
  b^-2*a*c*b^-1*a^-1*b^-2*a*c*b*c^-1*b^-1*a^2,
  a*c*a*c^-1*a^-1*b^-2*a^-1*c*a*c*b*c^-2*b, (c^-1*b*d*b*a^-1*c*a^-1*d)^2,
  d*b^-1*d*b*c^-1*d*b^-1*d*b*a*d*b^-1*d*b*a^-1*d*c,
  a^-1*c^-1*a^-1*b^-2*c^-1*a^2*b^-1*c^-1*b*c^3*b*a^-1*c,
  b^-1*c^-1*b*c*b*c^-3*a^-1*b*c*(b^-1*c^-1)^2*c^-2*a,
  a^-1*b*c^-1*a^-1*c*a^-1*b*c*d*c^-1*b^-1*a*c^-1*a*c*b^-1*a*d,
  a^-1*b^-2*(c*a^-1)^2*b^-1*d*b^-1*c^-1*a^-1*b^-3*d*b^-1*c^-1,
  a^-1*c*a^-1*b*(a*c)^2*b^-1*(a^-2*c)^2*b*a^-2*c^-1*a*c*b*c^-1,
  c*a^-1*b^-1*a*c*a^-2*c^-3*b*c^-1*a^-1*c*a^-1*b^-1*a*c^-1*a*c*b*c*a^-1*c^2,
  a^-1*c*a^-1*b*a*c^-1*a*c^2*a*c^-1*a^2*b^-1*c^-1*a^-1*c*a*c^-1*a^-1*c^-1*b^-\
1*a^-1*b*c^-1,
  b^-1*a^-1*c^-1*a^-1*c*a^-1*b*a*c^-1*a*c*b^-1*a*b*a^-1*c^-1*a^-1*c*a^-1*b*a*\
c^-1*a*c*b^-1*a,
  b*c^-1*a^-1*c*b^-2*a^-1*(c*b)^2*a^-1*c^-1*a^-1*b^-1*a*c^-1*a*c*b^-1*a*c^-1*\
a^-1*b^-2*a^-1*c,
  a*c^-1*a*c*b*a*c^-1*a*c*a^-1*b^-1*a^-1*b*c*a*c*b*c^2*a*b^-2*c*a^-2*c*b,
  a^-1*c^-1*a^-1*c*a^-1*b^-1*c^2*(a*c^-1)^2*b^-1*a*b^-1*a^-1*b*c^-1*a^-1*c*a^\
-1*b^-1*(a*c^-1)^2*a*b*c^-2,
  (a^-1*c^-1)^2*c^-1*b^-1*d*a*c^-1*a*b*a^-1*b*d*b*a*b*a^-1*c*a^-1*b*a*c^-1*a*\
c*b^-1*c^-1*b*d*(b^-1*c^-1)^2,
  a^-1*c*a^-1*b^-1*a*c^-1*a*c*a*b*c^-1*a^-1*c*a^-1*b^-1*a*c^-1*a*c*a*b*(c*a^-\
1)^2*b^-1*a*c^-1*a*c*a*b*c^-1,
  d*b*(c^-1*a^-1)^2*c^-2*b*c^-1*b^-1*c^-3*b^-1*c*b*d*b^2*c^-1*a^-1*c*a^-1*b^-\
1*a*c^-1*a*c*b^-1*a*c*a^-2*c,
  c^-1*b^2*a^-1*c*b*d*c^-1*a^-1*c*a^-1*b^-1*a*c^-1*a*d*c*a^-1*c^-1*b^2*a^-2*c\
*a^-1*b*a*c^-1*a^4*c^-1*d*b*c^-1*d*c^-1*a^-1,
  b*(b*a)^3*b*a^-1*c*a^-1*b*a*c^-1*a*c*b*c^-2*a^-1*b^2*c*a^-1*b*c*b*a^-1*c^-1\
*b^2*a^-1*b^-1*a*c^-1*a^-1*c*a*c,
  b*c*b^-1*c^-1*b^-1*a^-1*c^-1*b^2*a^-1*b^-1*a*c^-1*a*c*b*a^-1*c*a^-1*b*c*b*c\
^-2*a^-1*c*a^-1*b^3*c^-2*(a*c^-1*a)^2*c^-2,
  c*b*c^-1*a^-1*c*a^-1*b*a*(c*a*c)^2*a*c*b^-1*(c*a^-1)^2*b^-1*(a^-1*c)^2*a^-1\
*b*c^-1*a^-1*c*a^-1*b*a*c^-1*a^2*c^-1*b^-1*c*b*c^-1*b^-1*c^-1*a^-1,
  c^-1*a^-1*c*a^-1*b*a*c^-1*a*c*b*c^-1*b^-1*c*b^-1*c^-1*b*a^-1*c^-1*a*c^-1*(b\
*c)^2*b^-1*(c*a^-1)^2*c^-1*a^-1*b^-1*a*c^-1*a*c*b*a^-1*b*c*b*c^-1*b^-1*c*a^-1\
*c^3*a^-1*b*c*b^-1*c^-1*b*a,
  c^-1*b^-1*c^-1*a^-1*c*a^-1*b^-1*a*c^-1*a*c*b*a^-1*c*a^-1*c^-2*b^-1*a*b^2*c^\
-1*a^-2*c^2*b^-1*(c^-1*a)^2*c*b^-1*c^-1*a^2*c^-1*a^-1*c^-1*b*c^-1*a^-1*c*a^-1\
*b*(a*c)^2*c*b^-1*c^-1*a^-3 ],
[ [ a, b, c ], [ b*a, b^-1*a, c, d, a*b*c*b*a^-1*c^-1*a ],
  [ b*a^-1, d, a*d*a^-1, a^-2*b, a^-1*c^-2*a, c*a^-1*c^-1*b, a^2*c*a^-1*c^-1
     ] ]];
end,
[ 16, 16, 60 ]],
"PG1244160.8",0,1,1,[ 16, 16, 60 ]],
# 1244160.9
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^2, e^2, b^-1*e*b*e, (d*e)^2, b^-1*d*b^2*d*b^-1,
  d*a*b*d*b^-1*a^-1, b^6, c^2*a*c^-2*a^-1, b^-2*c^-1*b^2*c, c^6,
  c*e*c^-2*e*c, c^-2*d*c^2*d, c^2*b*a^-3*b, b^-1*(c*b)^2*a*c*a,
  (e*c)^2*(e*c^-1)^2, (d*b^-1*d*b)^2, (d*c*e*c^-1)^2,
  a^-1*b*d*b^-1*a^2*d*a^-1, b^2*a^-1*c^-1*a^-2*c*a^-1, (e*a*e*a^-1)^2,
  a*c*a^2*b^2*a^-1*c, (a*d*a^-1*e)^2, a^3*e*a^-3*e,
  c^-1*e*c*b*c*e*c^-1*e*b^-1, c*b^-1*d*a*d*a^-1*b*c^-1*d,
  b*a*e*a^-1*b^-1*e*a^-1*e*a, a*c*d*c^-1*a^-1*c*b^-1*d*b*c^-1,
  c^-1*e*a^-1*e*a*c*a*e*a^-1*e, c*a^-1*c^-1*e*c*a*c^-1*a*e*a^-1,
  d*b*c*d*a^-1*d*a*c^-1*d*b^-1, a*c^-1*e*(c*a^-1)^2*e*a*c^-1,
  c^-1*a^-1*c*d*c*a*c^-1*a*d*a^-1, a^-1*e*c^-1*e*c*a*e*c^-1*e*c,
  b^-2*a*d*a^-1*b^2*a*d*a^-1, a^-1*b^-1*a*d*a^-1*b*a*b^-1*a*d*a^-1*b,
  a^-1*c*a^2*(d*a^-1)^2*c^-1*d*a*d, e*a*c*a^-1*c*a*e*a^-1*c^-1*a*c^-1*a^-1,
  c^2*a*c*a^-3*c*a^5, b^-1*(a*b)^2*c^-1*a^2*b^-1*c^2*b^-1*c,
  b^-1*(a*e)^2*a^-2*b*(a*e)^2*a^-2, (a*c^-1*a^-2*c^-1)^3 ],
[ [ a, b, c, d ], [ b*a^-1, b^-1*a^-1, c*a^-1, e, a*d*a^-1, a^-1*e*a ],
  [ b*a^-1, d, e, a*d*a^-1, a^-1*e*a, b^-2*a*b, b^-1*c^2*a^-1, c*e*c^-1 ] ]];
end,
[ 16, 10, 60 ]],
"PG1244160.9",0,1,1,[ 16, 10, 60 ]],
# 1244160.10
[[1,"abcd",
function(a,b,c,d)
return [[ c^-1*d^-1*c*d, d^4, d^-1*a^-1*d^-2*a*d^-1, b^-1*d*b^2*d^-1*b^-1,
  d*b*d*(b^-1*d^-1)^2*b, (d*a*d*a^-1)^2, a*d*a^-1*c^-1*a^-1*d^-1*a*c,
  c*a^-1*d^-1*a*c^-1*a*d*a^-1, a^2*d*a^-3*d^-1*a, c^-2*a*c^-2*a^-1*c^-2,
  b^-1*d*b*c^-1*b^-1*d*b*d*c, a^9, b*d*(d*b^-1)^2*d^-2*b*d^-1,
  a*d*a^-1*b*d*a^-1*d*a*b^-1*d, b^-1*d^-1*a^-1*d^-1*a*b*d*a*d*a^-1,
  a*d^-1*a^-1*b*d^-1*a^-1*d^-1*a*b^-1*d^-1, (a*c^-1*b^-1*a*c)^2,
  c^-1*a^-1*b^-1*c^-1*b*c*b*a^-4, b^-1*(a*b)^2*b*c^-2*b*a^-2,
  a^3*b^-1*c^-2*b*c*b^-2*c^-1, d^-1*b*d^-1*a*d*b*d^-2*b^-1*a^-1*b^-1*d^-1,
  b*a^-3*b^-1*d*b*a^3*b^-1*d^-1, b^-1*(c*b^2)^2*c^-1*b^-2*c^-1*b^-1,
  b*a^-3*b^-1*c^-1*b*a^3*b^-1*c, c^-3*b*c*b^2*c^-1*a^-3*b^-1*c^-1,
  c^-1*b*c*b*c^-1*b^-1*a^-1*c*a^-4*c^-1,
  c^-1*a*b^-1*d^-1*b*a^-1*c^2*a*b*d*b^-1*a^-1*c^-1,
  b^-2*a*b^-1*d^-1*b*a^-1*b^2*a*b*d*b^-1*a^-1,
  b^2*c*b^-1*c^-1*b^-1*c*b^-2*c^-1*b*c*b*c^-1,
  b*a*b*d^-1*b^-1*a^-1*b^-1*c^-1*d^-1*a*b*d*b^-1*a^-1*c,
  a^-1*b*a^3*b^-1*c*a^-1*b^-1*c^-1*b^2*c*b*c^-1,
  b*c^2*b^-1*c^-1*b^-2*c*a^3*b^-1*c^2*b,
  (a*c^-1)^2*b*a^-3*b*c^-1*b^-1*(c*b)^2,
  b^-1*c^-1*b*c*b*c^-1*a^2*c^2*b*a^3*b^-1*a,
  d^-1*b^-1*a^-1*b*a^2*b*d^-2*b^-1*a^-2*b^-1*a*b*d^-1,
  c^-2*a^-2*c*a^3*b^-1*c*b^2*c*b*c^-1*a^-1,
  b^-1*c^-1*b^-1*c*b*c^2*d^-1*b^-1*c^-1*b*c*b*c^-2*d,
  a^2*d^-1*b^-1*c*d^-1*c*b^-2*a^-1*d*b^-1*d^-1*a^-1*d*b*d,
  c^-1*a^-1*c^-1*b*a^-3*d*b^-1*c^-1*b^-1*c*b*c*d^-1*b^-1*a^-1,
  (c^-1*b^-1)^2*c*b^2*a^-4*b^-2*(b^-1*a^-1)^2,
  c^-1*b*d^-1*a*d*a^2*b^-1*c^2*b*d^-1*a^-2*d*a^-1*b^-1*c^-1,
  c*a*b*a^-3*b^-1*a^-1*c^-2*b^-1*c*b*c*a^3*b^-1,
  c^-1*b*a^-1*b^-1*a*d*a^-1*d^-1*b*a^-1*b^-1*a*b*d*a*b^2*c^-1*d^-1,
  c*b*c^-1*b^-1*c^-1*(c^-1*b)^2*c*b*c^-1*a^-3*b^-2*c^-1*b^-1,
  a*b^-1*c^-1*b*c*b*c^-1*a^-1*c^-1*a^2*c^2*a*c^-1*b^-1*c^-2*b,
  b^-1*c^-1*a^-3*(b^-1*c^-1)^2*c^-3*b^2*a^-1*c*a^-4,
  a^3*c*b*c^-1*b^-1*c^2*a*b^-1*c^-2*b*a^-1*b^-1*c^-1*(c^-1*b^-1)^2,
  b^-1*c^2*b*a*d*a*c*b^-2*c^-1*a*d*c*a^-1*d^-1*b^-1*c^-1*b^-1*c*b*a^-1*d^-1,
  b*a*b*d^-1*b^-1*a^-1*b*a*b^-1*d^-1*b*a^-1*b^-1*a*b*d*b^-1*a^-1*b^-1*a*b^-1*\
d*b*a^-1, b*a^-3*b^-1*c^-2*a^-1*b^-1*d*b*a*c^2*b*a^3*b^-1*a^-1*b*d^-1*b^-1*a,
  a^-1*b^-1*c^-1*b^2*(c*b*a)^2*b^-1*a*b*a*c^-1*a*c^2*b*a^3*b^-1*a^-1*b*a^3*b^\
-1 ],
[ [ a, b, d*a*d^-1, d*b*d^-1 ],
  [ b*a^-1, d, a*d*a^-1, a^-1*d*a, b^-2*a*b, b^-1*c^2*a^-1, c*a^-1*c^-1*a^-1,
      c^2*b^-1*a^-1, (c^-1*a)^2, c^-1*a^-1*c*a^-1, c^-1*b^2*c^-1, c^-2*a*b,
      a^4*b, a^-1*b*d*b^-1*a ] ]];
end,
[ 20, 60 ]],
"PG1244160.10",0,1,1,[ 20, 60 ]],
# 1244160.11
[[1,"abcde",
function(a,b,c,d,e)
return [[ d^6, d^2*b^-1*d^2*b, c^-1*d^2*c*d^2, e^6, b*d^-2*e^2*b^-1*e^-2,
  e^-1*d^2*e^-1*a^-1*e^2*a, (a^-1*c*a^-1*c^-1)^2, c^-1*d^-3*c*a^-1*d^-3*a,
  c*a^-1*c^-1*e*c*a*c^-1*a*e^-1*a^-1, e^-2*d^-1*b^-1*e^-2*b*e^-2*d^-1,
  b^-1*e^2*b*a^2*e^-2*a^-2, d^-1*e^-1*d*e*c^-1*e*d^-1*e^-1*d*c,
  d^-1*a*e^-2*a^-1*d*a*e^2*a^-1, e^-1*a*e^-2*a^-1*e*a*e^2*a^-1,
  a*e*a^-1*e^-1*d^-1*e*d^2*a*e^-1*a^-1*d^-1, e^-3*c^-1*a^-1*c^2*e^-3*a*c^-1,
  e^-2*c^-2*d^-1*e*c^-2*e^2*d*e^-1, b^-1*a*e^-2*a^-1*b^2*a*e^2*a^-1*b^-1,
  c^2*a*e^-2*a^-1*c^-2*a*e^2*a^-1, a^-1*c*a^-1*e^-2*d^-2*c^-2*d^-1*e^2*c^-1,
  e*d*e^-2*a*e^-2*a^-2*d*a*b^-2, e^-1*b*a*e^2*a^-1*b^-1*e*b*a*e^-2*a^-1*b^-1,
  a^-1*b*a*e^2*a^-1*b^-1*a*b*a*e^-2*a^-1*b^-1,
  e^-1*b^-1*a*e^-2*a^-1*b*e*b^-1*a*e^2*a^-1*b,
  d^-1*b*a*e^2*a^-1*b^-1*d*b*a*e^-2*a^-1*b^-1,
  d^-1*c*e*d*c^-1*d^-1*c*e*d^2*e^-2*d*c^-1,
  a^2*c^-1*a^-1*d*a^-2*e^-2*d^-1*(a*e)^2*c,
  a*b*e^-1*a^-1*d^-2*a*e*b^-1*a^-1*c*a*e^2*a^-1*c^-1,
  c*e^-1*a*e^2*a^-1*e^-1*c^-1*d^-1*a*e^-2*a^-1*e^2*d^-1,
  d*e*d^-1*a^-1*d*a*e^-1*b^-1*e^2*b*a^-1*e^-2*d^-1*a,
  (a*e^-1*a^-2*e^-2*d^-1*a)^2,
  a^2*b*c*b*d*a*e*a^-1*d^-1*a*e^-1*a^-1*b^-1*c^-1*b^-1*a,
  e*a^2*e*a^-1*d*a*e*d^-2*a^-1*d*e^2*a^2*e,
  a^-2*e^-2*d^-1*a*c*a^-1*c^-1*a^-2*d*e^2*a*c*a^-1*c^-1,
  b^-1*a^-1*d*e^2*a^2*e*a^-1*b*a^-1*d*e^2*a^2*e*a^-1,
  e^-1*c*a*c^-1*a^-1*e^-2*d^-1*a*c^-1*e^-1*a^-2*e^-2*d^-1*a*c,
  a*e^-2*a^-1*e^-1*c*a^2*e^2*a*d^-1*a*e^2*a^-1*e^-1*c^-1*d,
  c*d*e^2*a^2*e*a^-1*e^-1*a^-1*d^3*a*e^-2*c^-1*a^-2,
  d*e^-1*d^-1*e*d*e^2*a^-1*(d*e^2*a)^2*a*d^-1*a,
  c^-1*a^-1*d*e^2*a^2*e*a^-1*d*a^2*e^-3*c*a^2*d^-2,
  (a^-2*d*e^2*a^2*e*b^-2)^2,
  a*b^-1*c^-1*b*c*b*a*e^3*b*a^-1*c*e^-3*a^-1*b^-1*c^-1*b^-1,
  d*e^-1*a^-2*e^-2*d^-1*a^-1*e^-1*(e^-1*a^-1)^2*d*c^-2*d^-1*a^2*d,
  c^-1*a^-1*b^-1*a^-1*e^-3*c^-1*a^-1*b*a^-3*b*c*b*a*e^-3*c^-1,
  b^-1*c^-1*b*c*b*a*e^3*c^-1*a^-1*b^-1*c^-1*b*c*b*a*e^-3*c^-1,
  b^-1*c*e^-1*d^-1*e*d*b*a^-1*c*e^3*a^-2*c*e^-3*a^-1*b^-1*c^-1*b^-1,
  d^-1*a^-1*d*e^2*a*c*a^-1*c^-1*e*a^-1*d*a^-2*d*e^2*a*c*a^-1*c^-1*e,
  a^-1*c*e^-3*a^-1*b^-1*c^-1*b^-1*c*b*c^-1*b*c*b*a*e^-3*c^-1*a*b^-1,
  c*b*a^-1*c*e^3*a^-1*b^-1*c^-1*b^-1*e*c^-1*a*b^-1*c^-1*b*c*b*a*e^2,
  a^-1*b^-1*c^-1*b^-1*c*b*a^-1*c*e^-1*d*e^2*a^-1*b^-1*c^-1*b^-1*c*b*a^-1*c*d^\
-1*e^-1, e^-2*d^-1*a^-1*d^-1*c^-1*d^-1*c*d^-1*e^2*d*a^-2*d*e^2*a^2*e*b^-2*a,
  d*e*a*e^-1*c*a*c^-1*a^-1*d^-1*a^-1*e^-2*d^-1*a*(e^-1*a^-1)^2*a^-1*e^-2*d^-1\
*a, d^-1*a^-1*d*e^2*a^2*e*a^-1*b*d^-1*c*e*a*e*d^-2*e^-2*a^-1*b^-1*c^-1*b^-1*c
    ,
  d^-1*e^-2*a^-1*b^-1*c^-1*b^-1*c*b*a^-1*c*e^-1*d*c^-1*a*b^-1*c^-1*b*c*b*a*e^\
3,
  a^2*e*b^-1*c*a^-1*c^-1*a^-1*e^-1*d^-1*e*b^-1*d^-1*a*d*c^-1*a*b^-1*c^-1*b*c*\
b*a*e^-1, c^-1*a^-1*c*a^-1*e^-1*a^2*e*c*a^2*d^-2*b*a*e^3*c^-1*a*b^-1*c^-1*d*b
    ,
  e^-1*c*a*c^-1*d^2*a^-1*d*e^2*a*d*a*e*a^-1*d^-1*e*c*e^-1*a^-1*e^-2*d^-1*c^-1
    , b^-1*a*c^-1*b*c*b*a*e*a^-2*b^-1*e^2*c^-1*b^-1*c*b^2*a^-1*d*e^2*a^2*e,
  a*e^-1*a^2*e*a^-2*e^-2*d^-1*a*d^-1*c^-1*d*c*e^-1*a*e^-2*a^-1*d*e^-1*c^-1*a^\
-1*c,
  b^-1*d^-1*b*d^-1*a*c*a*c^-2*b*c*b*a*e^-3*c^-1*a*b*e^-1*a^-2*e^-2*d^-1*a^-1,
  a^-1*b^-1*c^-1*b^-1*c*b*a^-1*c*e^-1*d^-1*b*a*e^-1*a^-2*e^-2*d^-1*a*d^-1*b^-\
1*e*d^3*c^2,
  e^3*c^-1*e^-1*a^-2*e^-2*d^-1*a^2*c*a*b^2*e*d^-2*e*a*e*c*a^2*c^-1*d,
  d*b*d*b^-1*d*a*c*e^3*a*b*a*c*a*b^-1*c^-1*d*a^-1*c*e^-3*a^-1*b^-1*c^-1*b^-1*\
c,
  a*e*c^-1*a*b^-1*c^-1*b*c*b*a*e*a^-2*e^-2*d^-1*a*e^-1*a^-2*d*b*e^-1*d*e*a*c*\
a*c^-1*b*a^-1*e,
  e^-1*a^-2*e^-2*d^-1*a*d*e^-1*d*e*d^-1*a^-1*d*a*e^-1*c*e^-3*a^-1*b^-1*c^-1*b\
^-1*c*b*e^-2*d^-1*b^-1*d^-1*b,
  e^-1*c*b*a^-1*c*e^-3*a^-1*b^-1*c^-1*b^-1*d^-1*c^-1*a*c*e^-3*a*e*d*a^-1*d*e^\
2*a^2*e*a^-1*b^-1*d*b*d,
  e^-1*a^-1*d*e^2*a^2*e*b^-1*c^-1*b*c*b*a*e^3*c^-1*d^-1*c*a*b*a^-1*c*e^-3*a^-\
1*b^-1*c^-1*b^-1*e^-1*a^-2*e^-1,
  c^-1*e*c^-1*a*b^-1*c^-1*b*c*b*a*e*a^-2*e^-2*d^-1*a*d^-1*a^-1*d*e^2*a^2*e*a^\
-1*d*b*c*b*a^-1*c^-1*a^-1*b^-1*a^-1*e^-3,
  d^-1*b^-1*c^-1*a^-1*d*e^2*a^2*e*a*b^-1*c^-1*b*c*b*a*e*d^-1*a^2*e^-1*a^-1*d*\
b*d*b^-1*d^-1*a*c*a*b*a^-1*c*e^-3*a^-1*b^-1*c^-1,
  a*e*c^2*e^-3*a^-1*b^-1*c^-1*b^-1*c*b*c^-1*d*b^-1*d*b*a*e^-1*a^-1*d*e^2*a*c*\
a*b*a^-1*c*e^-3*a^-1*b^-1*c^-1*(b^-1*d)^2*b*e^-2*d^-1,
  e^-1*d^-2*b*e*d^-1*a^-1*(d*a*e^-1)^2*a^2*e*a^-1*d*a*e*d^-1*c*a^-1*c^-1*a^-1\
*d^2*e^2*a^2*e*c*a^2*b*a*e^-3*c^-1*a*b^-1*c^-1*d,
  c*a^2*c^-1*b*d^-1*b^-1*e^-3*a*c^-1*a*c*d^-1*(a^-1*e)^2*d^-1*b*d^-1*b^-1*c^-\
1*b*c*b*a*e^-3*c^-1*e^-2*a*e*c^-1*d^-1*c*b^-1*d^2*a*e^2,
  e^-2*c^-2*e^-1*a^-1*c^-1*d*c*d^-1*a*e^-1*a^-2*e^-2*d^-1*a*b^-1*d*c^-1*b*c*b\
*a*e^-3*c^-1*a*c*a^-1*c^-1*a*e^-1*d^2*e*a*d*b^-1*d*b*c*b^-1*c^-1*b*c*e^-2*b*a\
*e^-1 ],
[ [ b^-2, c*a^-1, d, e, a^3, a*b*a^-1, a*d*a^-1, a*e*a^-1 ],
  [ b*a^-1, d^-2, e^-2, a*d*c^-1, a^-1*c^-1*e^-1, a^-1*d^-2*a,
      b^-1*a*c*a^-1, b^-3*a^-1, b^-1*d*a^-2, c*a*e^-1*a^-1, c*b^2*a,
      c*b^-2*a, c^-1*a^2*c^-1, c^-1*b*e^-1, c^-1*b^-1*c^-1*b,
      c^-1*d*e^-1*c^-1, d*c*e^-1*b ],
  [ b*a^-1, b^-1*a^-1, c*a^-1, c^-1*a^-1, e*d^-1, e^-1*d, a^3, a*e*a^-1,
      a^-1*b*a*b^-1*a, a^-1*b*c^-2*b^-1*a, a^-1*b*e*b^-1*a ],
  [ b^-2, c^-2, d, e^-2, a^3, a*b^-2*a^-1, a*d*a^-1, a*e*a^-1, a^-1*c^-2*a,
      a^-1*d^-2*a, a^-1*e*a, b*c^-2*b^-1, b*e*b^-1, c*e*c^-1, e*a^-1*d^-1*a,
      e*b*d^-1*b^-1, a*b*c^-2*b^-1*a^-1, a^-1*b*d*b^-1*a, a^-1*b*e*b^-1*a,
      a^-1*b^-1*c^2*b^-1*a, a^-1*b^-1*c^-2*b^-1*a, b*a^3*b^-1, (b*a)^3,
      b*a*b^-1*a*b*a, b*a*c^-2*a^-1*b^-1, b*a*d^-2*a^-1*b^-1,
      b*a*e*a^-1*b^-1, b*(a^-1*b^-1)^2*a^-1, b*a^-1*e*d^-1*a*b^-1,
      b*c*e*c^-1*b^-1, e*a*b*e^-1*b^-1*a^-1, a*b*a^3*b^-1*a^-1,
      a*b*a*e*b^-1*a*b^-1, a*(b*a^-1)^2*b^-1*a, a*b*c*e*c^-1*b^-1*a^-1,
      a^-1*b*a^3*b^-1*a, a^-1*b*c*e*c*b^-1*a, c*(b*a)^2*b^-1*c*a^-1,
      c*b*(a*b^-1)^2*c*a^-1, c*b*a*d*a^-1*b^-1*c^-1 ] ]];
end,
[ 12, 64, 15, 120 ]],
"PG1244160.11",0,16,1,[ 12, 64, 15, 120 ]],
# 1244160.12
[[1,"abcdef",
function(a,b,c,d,e,f)
return [[ f^3, e*d*e^-1*d^-1, a*e^-1*a^-1*e, e^4, b^-1*e^-1*b*e,
  d^-1*f^-1*d*f, f*e*f^-1*e^-1, c^-1*e^-1*c*e, c^2*f^-1*c^-2*f,
  b*f*b^-2*f^-1*b, b*f*b^-1*f^-1*c*f*c^-1, b*f^-1*b^-1*f*c*f^-1*c^-1,
  d^-1*b*f*b^-1*d*b*f^-1*b^-1, e*c^-2*d^-1*c^-2*d*e,
  b*f^-1*b^-1*a*b^-1*f*b*a^-1, f^-1*a*f*a^-1*f*a*f^-1*a^-1,
  d^-1*a*f^-1*a^-1*d*a*f*a^-1, a*f*a^-1*b*a^-1*f^-1*a*b^-1,
  e*b^-1*d^-1*b^-1*e*d^-1*(b*d)^2, e*d^-2*a*f^-1*a*f*a^-2*e,
  c^-1*f^-1*a^-1*f*a*c*a*f^-1*a^-1*f, b^-1*(e*d^-1)^2*b*(e*d^-1)^2,
  a^-1*e*f^-1*a*d*a*f*e*a^-1*d, a*f*a^-1*c^-2*a*f^-1*a^-1*c^2,
  e*a*d^-1*f*a^-1*c^2*d^-1*f^-1*b^2, a*f*a^-1*b^-1*c*a*f^-1*a^-1*c^-1*b*f^-1,
  b^-1*c^-1*b*c*b*a^-1*(c^-1*b^-1)^2*c*b*a*c,
  e^-1*(b^-1*d^-1)^2*b*a^-1*b^-1*a^-1*c^-1*b^-1*c*b*a*c,
  b^-1*c*a*b^-1*c^-1*b^-1*c*b*a*c^-1*b*c*b*a^-1*c^-1*a^-1,
  a*e^-1*b^-1*c^-1*b^-1*c*b*a*c*a^-1*b^-1*c^-1*b*c*e*b*a^-1*c^-1,
  d^-1*c*a*b^-1*c^-1*b^-1*c*b*a*d*b^-1*c^-1*b*c*b*a^-1*c^-1*a^-1,
  e^-2*a*d^-1*a^-1*c^2*e*d^-1*b^2*f^-1*e^-2*a^-2*f*a^2,
  f^-1*e^-1*c^-1*b*a*c*a*b^-1*c^-1*b^-1*f*a^-1*b^-1*c^-1*b*c*e*b*a^-1*c,
  e*(d^-1*b^-1)^2*b^-1*a^-1*e*b*(a^-1*b^-1*c^-1)^2*b*c*b*a^-2,
  a^-1*e*a^-2*c^-1*a^-1*b^-1*c^-1*b*c*b*a^-2*c^-1*a^-1*b^-1*c^-1*e*b*c*b,
  e*a*c^-1*a*c*d^-1*c^2*a*f^-1*e^-1*f^-1*a^-1*d^2*a*e*f^-1*a^-1*e^-1*d^2,
  c*e*a*b^-1*c^-1*b^-1*c*d^-1*b^-1*e*d^-1*b^-1*d^-1*b*e*a^-1*b^-1*a^-1*b*a^-1\
*d*b*a,
  e^-1*b^-1*d*a^-1*e*c^-1*a^-1*b^-1*c^-1*b*c*(b*d)^2*d*b^-1*c^-1*b^-1*c*b*a*c\
*a,
  c^-2*e*d*b^-1*c^-1*b*c*b*a^-1*c^-1*f^-1*a^-1*c*a^-1*b^-1*c^-1*e*b*c*b*f*a^-\
1*d^-1,
  e^-1*c*a*b^-1*c^-1*b^-1*c*b*a*d^-1*e^-1*b^-1*d^-1*c^-1*b^-1*c*b*a*c*e^-1*a*\
b*d^-1*e^-1*b^-1*d^-1,
  e^2*a*c*a*b^-1*c^-1*b^-1*c*d^-1*b^-1*f^-1*b*d*b^-1*c^-1*b*c*b*a^-1*e*c^-1*e\
*a^-1*b*f,
  e*a*c*a*b^-1*c^-1*b^-1*c*d^-1*b*d^-1*b^-1*d*b*d^-1*a^-1*b^-1*c^-1*b*c*e*b*a\
^-1*c*d^2*c^2,
  e^-1*b^-1*c^-1*b*c*b*a*c*a*b^-1*c^-1*b^-1*c*b*a*f^-1*d^-1*c^2*e^-1*d^2*f*c^\
-1*a^-1*f^-1*a^2*f,
--> --------------------

--> maximum size reached

--> --------------------