we look for an automorphism of g_{6,15}$

nombre d'equations90$

processus de resolution: phase 1$

nombre d'equations90$

collect_eq:={{{{1,2},1}, - b(1,3)},
{{{1,2},2}, - b(2,3)},
{{{1,2},3},
 - b(3,3) + b(2,2)*b(1,1) - b(2,1)*b(1,2)},
{{{1,2},4},
 - b(4,3) + b(3,2)*b(1,1) - b(3,1)*b(1,2)},
{{{1,2},5},
 - b(5,3) + b(3,2)*b(2,1) - b(3,1)*b(2,2)},
{{{1,2},6},
 - b(6,3) + b(5,2)*b(1,1) - b(5,1)*b(1,2) + b(4,2)*b(2,1) - b(4,1)*b(2,2)},
{{{1,3},1}, - b(1,4)},
{{{1,3},2}, - b(2,4)},
{{{1,3},3},
 - b(3,4) + b(2,3)*b(1,1) - b(2,1)*b(1,3)},
{{{1,3},4},
 - b(4,4) + b(3,3)*b(1,1) - b(3,1)*b(1,3)},
{{{1,3},5},
 - b(5,4) + b(3,3)*b(2,1) - b(3,1)*b(2,3)},
{{{1,3},6},
 - b(6,4) + b(5,3)*b(1,1) - b(5,1)*b(1,3) + b(4,3)*b(2,1) - b(4,1)*b(2,3)},
{{{1,4},1},0},
{{{1,4},2},0},
{{{1,4},3},b(2,4)*b(1,1) - b(2,1)*b(1,4)},
{{{1,4},4},b(3,4)*b(1,1) - b(3,1)*b(1,4)},
{{{1,4},5},b(3,4)*b(2,1) - b(3,1)*b(2,4)},
{{{1,4},6},
b(5,4)*b(1,1) - b(5,1)*b(1,4) + b(4,4)*b(2,1) - b(4,1)*b(2,4)},
{{{1,5},1}, - b(1,6)},
{{{1,5},2}, - b(2,6)},
{{{1,5},3},
 - b(3,6) + b(2,5)*b(1,1) - b(2,1)*b(1,5)},
{{{1,5},4},
 - b(4,6) + b(3,5)*b(1,1) - b(3,1)*b(1,5)},
{{{1,5},5},
 - b(5,6) + b(3,5)*b(2,1) - b(3,1)*b(2,5)},
{{{1,5},6},
 - b(6,6) + b(5,5)*b(1,1) - b(5,1)*b(1,5) + b(4,5)*b(2,1) - b(4,1)*b(2,5)},
{{{1,6},1},0},
{{{1,6},2},0},
{{{1,6},3},b(2,6)*b(1,1) - b(2,1)*b(1,6)},
{{{1,6},4},b(3,6)*b(1,1) - b(3,1)*b(1,6)},
{{{1,6},5},b(3,6)*b(2,1) - b(3,1)*b(2,6)},
{{{1,6},6},
b(5,6)*b(1,1) - b(5,1)*b(1,6) + b(4,6)*b(2,1) - b(4,1)*b(2,6)},
{{{2,3},1}, - b(1,5)},
{{{2,3},2}, - b(2,5)},
{{{2,3},3},
 - b(3,5) + b(2,3)*b(1,2) - b(2,2)*b(1,3)},
{{{2,3},4},
 - b(4,5) + b(3,3)*b(1,2) - b(3,2)*b(1,3)},
{{{2,3},5},
 - b(5,5) + b(3,3)*b(2,2) - b(3,2)*b(2,3)},
{{{2,3},6},
 - b(6,5) + b(5,3)*b(1,2) - b(5,2)*b(1,3) + b(4,3)*b(2,2) - b(4,2)*b(2,3)},
{{{2,4},1}, - b(1,6)},
{{{2,4},2}, - b(2,6)},
{{{2,4},3},
 - b(3,6) + b(2,4)*b(1,2) - b(2,2)*b(1,4)},
{{{2,4},4},
 - b(4,6) + b(3,4)*b(1,2) - b(3,2)*b(1,4)},
{{{2,4},5},
 - b(5,6) + b(3,4)*b(2,2) - b(3,2)*b(2,4)},
{{{2,4},6},
 - b(6,6) + b(5,4)*b(1,2) - b(5,2)*b(1,4) + b(4,4)*b(2,2) - b(4,2)*b(2,4)},
{{{2,5},1},0},
{{{2,5},2},0},
{{{2,5},3},b(2,5)*b(1,2) - b(2,2)*b(1,5)},
{{{2,5},4},b(3,5)*b(1,2) - b(3,2)*b(1,5)},
{{{2,5},5},b(3,5)*b(2,2) - b(3,2)*b(2,5)},
{{{2,5},6},
b(5,5)*b(1,2) - b(5,2)*b(1,5) + b(4,5)*b(2,2) - b(4,2)*b(2,5)},
{{{2,6},1},0},
{{{2,6},2},0},
{{{2,6},3},b(2,6)*b(1,2) - b(2,2)*b(1,6)},
{{{2,6},4},b(3,6)*b(1,2) - b(3,2)*b(1,6)},
{{{2,6},5},b(3,6)*b(2,2) - b(3,2)*b(2,6)},
{{{2,6},6},
b(5,6)*b(1,2) - b(5,2)*b(1,6) + b(4,6)*b(2,2) - b(4,2)*b(2,6)},
{{{3,4},1},0},
{{{3,4},2},0},
{{{3,4},3},b(2,4)*b(1,3) - b(2,3)*b(1,4)},
{{{3,4},4},b(3,4)*b(1,3) - b(3,3)*b(1,4)},
{{{3,4},5},b(3,4)*b(2,3) - b(3,3)*b(2,4)},
{{{3,4},6},
b(5,4)*b(1,3) - b(5,3)*b(1,4) + b(4,4)*b(2,3) - b(4,3)*b(2,4)},
{{{3,5},1},0},
{{{3,5},2},0},
{{{3,5},3},b(2,5)*b(1,3) - b(2,3)*b(1,5)},
{{{3,5},4},b(3,5)*b(1,3) - b(3,3)*b(1,5)},
{{{3,5},5},b(3,5)*b(2,3) - b(3,3)*b(2,5)},
{{{3,5},6},
b(5,5)*b(1,3) - b(5,3)*b(1,5) + b(4,5)*b(2,3) - b(4,3)*b(2,5)},
{{{3,6},1},0},
{{{3,6},2},0},
{{{3,6},3},b(2,6)*b(1,3) - b(2,3)*b(1,6)},
{{{3,6},4},b(3,6)*b(1,3) - b(3,3)*b(1,6)},
{{{3,6},5},b(3,6)*b(2,3) - b(3,3)*b(2,6)},
{{{3,6},6},
b(5,6)*b(1,3) - b(5,3)*b(1,6) + b(4,6)*b(2,3) - b(4,3)*b(2,6)},
{{{4,5},1},0},
{{{4,5},2},0},
{{{4,5},3},b(2,5)*b(1,4) - b(2,4)*b(1,5)},
{{{4,5},4},b(3,5)*b(1,4) - b(3,4)*b(1,5)},
{{{4,5},5},b(3,5)*b(2,4) - b(3,4)*b(2,5)},
{{{4,5},6},
b(5,5)*b(1,4) - b(5,4)*b(1,5) + b(4,5)*b(2,4) - b(4,4)*b(2,5)},
{{{4,6},1},0},
{{{4,6},2},0},
{{{4,6},3},b(2,6)*b(1,4) - b(2,4)*b(1,6)},
{{{4,6},4},b(3,6)*b(1,4) - b(3,4)*b(1,6)},
{{{4,6},5},b(3,6)*b(2,4) - b(3,4)*b(2,6)},
{{{4,6},6},
b(5,6)*b(1,4) - b(5,4)*b(1,6) + b(4,6)*b(2,4) - b(4,4)*b(2,6)},
{{{5,6},1},0},
{{{5,6},2},0},
{{{5,6},3},b(2,6)*b(1,5) - b(2,5)*b(1,6)},
{{{5,6},4},b(3,6)*b(1,5) - b(3,5)*b(1,6)},
{{{5,6},5},b(3,6)*b(2,5) - b(3,5)*b(2,6)},
{{{5,6},6},
b(5,6)*b(1,5) - b(5,5)*b(1,6) + b(4,6)*b(2,5) - b(4,5)*b(2,6)}}$

on resout l'equation {{1,2},1} qui est  maintenant AA:= - b(1,3)$

Unknown: b(1,3)
Unknown: b(1,3)
bonne inconnue W:=b(1,3)$

sa valeur doit etre WW:=0$

on resout l'equation {{1,2},2} qui est  maintenant AA:= - b(2,3)$

Unknown: b(2,3)
Unknown: b(2,3)
bonne inconnue W:=b(2,3)$

sa valeur doit etre WW:=0$

on resout l'equation {{1,2},3} qui est  maintenant AA:= - b(3,3) + b(2,2)*b(1,1)
 - b(2,1)*b(1,2)$

Unknowns: {b(3,3),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(3,3),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(3,3)$

sa valeur doit etre WW:=b(2,2)*b(1,1) - b(2,1)*b(1,2)$

on resout l'equation {{1,2},4} qui est  maintenant AA:= - b(4,3) + b(3,2)*b(1,1)
 - b(3,1)*b(1,2)$

Unknowns: {b(4,3),b(3,2),b(3,1),b(1,2),b(1,1)}
Unknowns: {b(4,3),b(3,2),b(3,1),b(1,2),b(1,1)}
bonne inconnue W:=b(4,3)$

sa valeur doit etre WW:=b(3,2)*b(1,1) - b(3,1)*b(1,2)$

on resout l'equation {{1,2},5} qui est  maintenant AA:= - b(5,3) + b(3,2)*b(2,1)
 - b(3,1)*b(2,2)$

Unknowns: {b(5,3),b(3,2),b(3,1),b(2,2),b(2,1)}
Unknowns: {b(5,3),b(3,2),b(3,1),b(2,2),b(2,1)}
bonne inconnue W:=b(5,3)$

sa valeur doit etre WW:=b(3,2)*b(2,1) - b(3,1)*b(2,2)$

on resout l'equation {{1,2},6} qui est  maintenant AA:= - b(6,3) + b(5,2)*b(1,1)
 - b(5,1)*b(1,2) + b(4,2)*b(2,1) - b(4,1)*b(2,2)$

Unknowns: {b(6,3),b(5,2),b(5,1),b(4,2),b(4,1),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(6,3),b(5,2),b(5,1),b(4,2),b(4,1),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(6,3)$

sa valeur doit etre WW:=b(5,2)*b(1,1) - b(5,1)*b(1,2) + b(4,2)*b(2,1) - b(4,1)*b
(2,2)$

on resout l'equation {{1,3},1} qui est  maintenant AA:= - b(1,4)$

Unknown: b(1,4)
Unknown: b(1,4)
bonne inconnue W:=b(1,4)$

sa valeur doit etre WW:=0$

on resout l'equation {{1,3},2} qui est  maintenant AA:= - b(2,4)$

Unknown: b(2,4)
Unknown: b(2,4)
bonne inconnue W:=b(2,4)$

sa valeur doit etre WW:=0$

on resout l'equation {{1,3},3} qui est  maintenant AA:= - b(3,4)$

Unknown: b(3,4)
Unknown: b(3,4)
bonne inconnue W:=b(3,4)$

sa valeur doit etre WW:=0$

on resout l'equation {{1,3},4} qui est  maintenant AA:= - b(4,4) + b(2,2)*b(1,1)
**2 - b(2,1)*b(1,2)*b(1,1)$

Unknowns: {b(4,4),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(4,4),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(4,4)$

sa valeur doit etre WW:=b(1,1)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))$

on resout l'equation {{1,3},5} qui est  maintenant AA:= - b(5,4) + b(2,2)*b(2,1)
*b(1,1) - b(2,1)**2*b(1,2)$

Unknowns: {b(5,4),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(5,4),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(5,4)$

sa valeur doit etre WW:=b(2,1)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))$

on resout l'equation {{1,3},6} qui est  maintenant AA:= - b(6,4) + 2*b(3,2)*b(2,
1)*b(1,1) - b(3,1)*b(2,2)*b(1,1) - b(3,1)*b(2,1)*b(1,2)$

Unknowns: {b(6,4),b(3,2),b(3,1),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(6,4),b(3,2),b(3,1),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(6,4)$

sa valeur doit etre WW:=2*b(3,2)*b(2,1)*b(1,1) - b(3,1)*b(2,2)*b(1,1) - b(3,1)*b
(2,1)*b(1,2)$

on resout l'equation {{1,4},6} qui est  maintenant AA:=2*b(2,1)*b(1,1)*(b(2,2)*b
(1,1) - b(2,1)*b(1,2))$

Unknowns: {b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(2,2),b(2,1),b(1,2),b(1,1)}


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! 2*b(2,1)*b(1,1)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))
on resout l'equation {{1,5},1} qui est  maintenant AA:= - b(1,6)$

Unknown: b(1,6)
Unknown: b(1,6)
bonne inconnue W:=b(1,6)$

sa valeur doit etre WW:=0$

on resout l'equation {{1,5},2} qui est  maintenant AA:= - b(2,6)$

Unknown: b(2,6)
Unknown: b(2,6)
bonne inconnue W:=b(2,6)$

sa valeur doit etre WW:=0$

on resout l'equation {{1,5},3} qui est  maintenant AA:= - b(3,6) + b(2,5)*b(1,1)
 - b(2,1)*b(1,5)$

Unknowns: {b(3,6),b(2,5),b(2,1),b(1,5),b(1,1)}
Unknowns: {b(3,6),b(2,5),b(2,1),b(1,5),b(1,1)}
bonne inconnue W:=b(3,6)$

sa valeur doit etre WW:=b(2,5)*b(1,1) - b(2,1)*b(1,5)$

on resout l'equation {{1,5},4} qui est  maintenant AA:= - b(4,6) + b(3,5)*b(1,1)
 - b(3,1)*b(1,5)$

Unknowns: {b(4,6),b(3,5),b(3,1),b(1,5),b(1,1)}
Unknowns: {b(4,6),b(3,5),b(3,1),b(1,5),b(1,1)}
bonne inconnue W:=b(4,6)$

sa valeur doit etre WW:=b(3,5)*b(1,1) - b(3,1)*b(1,5)$

on resout l'equation {{1,5},5} qui est  maintenant AA:= - b(5,6) + b(3,5)*b(2,1)
 - b(3,1)*b(2,5)$

Unknowns: {b(5,6),b(3,5),b(3,1),b(2,5),b(2,1)}
Unknowns: {b(5,6),b(3,5),b(3,1),b(2,5),b(2,1)}
bonne inconnue W:=b(5,6)$

sa valeur doit etre WW:=b(3,5)*b(2,1) - b(3,1)*b(2,5)$

on resout l'equation {{1,5},6} qui est  maintenant AA:= - b(6,6) + b(5,5)*b(1,1)
 - b(5,1)*b(1,5) + b(4,5)*b(2,1) - b(4,1)*b(2,5)$

Unknowns: {b(6,6),b(5,5),b(5,1),b(4,5),b(4,1),b(2,5),b(2,1),b(1,5),b(1,1)}
Unknowns: {b(6,6),b(5,5),b(5,1),b(4,5),b(4,1),b(2,5),b(2,1),b(1,5),b(1,1)}
bonne inconnue W:=b(6,6)$

sa valeur doit etre WW:=b(5,5)*b(1,1) - b(5,1)*b(1,5) + b(4,5)*b(2,1) - b(4,1)*b
(2,5)$

on resout l'equation {{1,6},4} qui est  maintenant AA:=b(1,1)*(b(2,5)*b(1,1) - b
(2,1)*b(1,5))$

Unknowns: {b(2,5),b(2,1),b(1,5),b(1,1)}
Unknowns: {b(2,5),b(2,1),b(1,5),b(1,1)}


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! b(1,1)*(b(2,5)*b(1,1) - b(2,1)*b(1,5))
on resout l'equation {{1,6},5} qui est  maintenant AA:=b(2,1)*(b(2,5)*b(1,1) - b
(2,1)*b(1,5))$

Unknowns: {b(2,5),b(2,1),b(1,5),b(1,1)}
Unknowns: {b(2,5),b(2,1),b(1,5),b(1,1)}


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! b(2,1)*(b(2,5)*b(1,1) - b(2,1)*b(1,5))
on resout l'equation {{1,6},6} qui est  maintenant AA:=2*b(3,5)*b(2,1)*b(1,1) - 
b(3,1)*b(2,5)*b(1,1) - b(3,1)*b(2,1)*b(1,5)$

Unknowns: {b(3,5),b(3,1),b(2,5),b(2,1),b(1,5),b(1,1)}
Unknowns: {b(3,5),b(3,1),b(2,5),b(2,1),b(1,5),b(1,1)}


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! 2*b(3,5)*b(2,1)*b(1,1) - b(3,1)*b(2,5)*b(1,1) - b(3,1)*b(2,1)*b(1,5)
on resout l'equation {{2,3},1} qui est  maintenant AA:= - b(1,5)$

Unknown: b(1,5)
Unknown: b(1,5)
bonne inconnue W:=b(1,5)$

sa valeur doit etre WW:=0$

on resout l'equation {{2,3},2} qui est  maintenant AA:= - b(2,5)$

Unknown: b(2,5)
Unknown: b(2,5)
bonne inconnue W:=b(2,5)$

sa valeur doit etre WW:=0$

on resout l'equation {{2,3},3} qui est  maintenant AA:= - b(3,5)$

Unknown: b(3,5)
Unknown: b(3,5)
bonne inconnue W:=b(3,5)$

sa valeur doit etre WW:=0$

on resout l'equation {{2,3},4} qui est  maintenant AA:= - b(4,5) + b(2,2)*b(1,2)
*b(1,1) - b(2,1)*b(1,2)**2$

Unknowns: {b(4,5),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(4,5),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(4,5)$

sa valeur doit etre WW:=b(1,2)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))$

on resout l'equation {{2,3},5} qui est  maintenant AA:= - b(5,5) + b(2,2)**2*b(1
,1) - b(2,2)*b(2,1)*b(1,2)$

Unknowns: {b(5,5),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(5,5),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(5,5)$

sa valeur doit etre WW:=b(2,2)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))$

on resout l'equation {{2,3},6} qui est  maintenant AA:= - b(6,5) + b(3,2)*b(2,2)
*b(1,1) + b(3,2)*b(2,1)*b(1,2) - 2*b(3,1)*b(2,2)*b(1,2)$

Unknowns: {b(6,5),b(3,2),b(3,1),b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(6,5),b(3,2),b(3,1),b(2,2),b(2,1),b(1,2),b(1,1)}
bonne inconnue W:=b(6,5)$

sa valeur doit etre WW:=b(3,2)*b(2,2)*b(1,1) + b(3,2)*b(2,1)*b(1,2) - 2*b(3,1)*b
(2,2)*b(1,2)$

on resout l'equation {{2,5},6} qui est  maintenant AA:=2*b(2,2)*b(1,2)*(b(2,2)*b
(1,1) - b(2,1)*b(1,2))$

Unknowns: {b(2,2),b(2,1),b(1,2),b(1,1)}
Unknowns: {b(2,2),b(2,1),b(1,2),b(1,1)}


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! 2*b(2,2)*b(1,2)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))
Automorphism equations to cancel (Reduce output) : \\{{{{1,2},1},0},
{{{1,2},2},0},
{{{1,2},3},0},
{{{1,2},4},0},
{{{1,2},5},0},
{{{1,2},6},0},
{{{1,3},1},0},
{{{1,3},2},0},
{{{1,3},3},0},
{{{1,3},4},0},
{{{1,3},5},0},
{{{1,3},6},0},
{{{1,4},1},0},
{{{1,4},2},0},
{{{1,4},3},0},
{{{1,4},4},0},
{{{1,4},5},0},
{{{1,4},6},
2*b(2,1)*b(1,1)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))},
{{{1,5},1},0},
{{{1,5},2},0},
{{{1,5},3},0},
{{{1,5},4},0},
{{{1,5},5},0},
{{{1,5},6},0},
{{{1,6},1},0},
{{{1,6},2},0},
{{{1,6},3},0},
{{{1,6},4},0},
{{{1,6},5},0},
{{{1,6},6},0},
{{{2,3},1},0},
{{{2,3},2},0},
{{{2,3},3},0},
{{{2,3},4},0},
{{{2,3},5},0},
{{{2,3},6},0},
{{{2,4},1},0},
{{{2,4},2},0},
{{{2,4},3},0},
{{{2,4},4},0},
{{{2,4},5},0},
{{{2,4},6},0},
{{{2,5},1},0},
{{{2,5},2},0},
{{{2,5},3},0},
{{{2,5},4},0},
{{{2,5},5},0},
{{{2,5},6},
2*b(2,2)*b(1,2)*(b(2,2)*b(1,1) - b(2,1)*b(1,2))},
{{{2,6},1},0},
{{{2,6},2},0},
{{{2,6},3},0},
{{{2,6},4},0},
{{{2,6},5},0},
{{{2,6},6},0},
{{{3,4},1},0},
{{{3,4},2},0},
{{{3,4},3},0},
{{{3,4},4},0},
{{{3,4},5},0},
{{{3,4},6},0},
{{{3,5},1},0},
{{{3,5},2},0},
{{{3,5},3},0},
{{{3,5},4},0},
{{{3,5},5},0},
{{{3,5},6},0},
{{{3,6},1},0},
{{{3,6},2},0},
{{{3,6},3},0},
{{{3,6},4},0},
{{{3,6},5},0},
{{{3,6},6},0},
{{{4,5},1},0},
{{{4,5},2},0},
{{{4,5},3},0},
{{{4,5},4},0},
{{{4,5},5},0},
{{{4,5},6},0},
{{{4,6},1},0},
{{{4,6},2},0},
{{{4,6},3},0},
{{{4,6},4},0},
{{{4,6},5},0},
{{{4,6},6},0},
{{{5,6},1},0},
{{{5,6},2},0},
{{{5,6},3},0},
{{{5,6},4},0},
{{{5,6},5},0},
{{{5,6},6},0}}$

resultats finaux$

collect_eq:={{{{1,2},1},0},
{{{1,2},2},0},
{{{1,2},3},0},
{{{1,2},4},0},
{{{1,2},5},0},
{{{1,2},6},0},
{{{1,3},1},0},
{{{1,3},2},0},
{{{1,3},3},0},
{{{1,3},4},0},
{{{1,3},5},0},
{{{1,3},6},0},
{{{1,4},1},0},
{{{1,4},2},0},
{{{1,4},3},0},
{{{1,4},4},0},
{{{1,4},5},0},
{{{1,4},6},
2*(b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(2,1)*b(1,1)},
{{{1,5},1},0},
{{{1,5},2},0},
{{{1,5},3},0},
{{{1,5},4},0},
{{{1,5},5},0},
{{{1,5},6},0},
{{{1,6},1},0},
{{{1,6},2},0},
{{{1,6},3},0},
{{{1,6},4},0},
{{{1,6},5},0},
{{{1,6},6},0},
{{{2,3},1},0},
{{{2,3},2},0},
{{{2,3},3},0},
{{{2,3},4},0},
{{{2,3},5},0},
{{{2,3},6},0},
{{{2,4},1},0},
{{{2,4},2},0},
{{{2,4},3},0},
{{{2,4},4},0},
{{{2,4},5},0},
{{{2,4},6},0},
{{{2,5},1},0},
{{{2,5},2},0},
{{{2,5},3},0},
{{{2,5},4},0},
{{{2,5},5},0},
{{{2,5},6},
2*(b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(2,2)*b(1,2)},
{{{2,6},1},0},
{{{2,6},2},0},
{{{2,6},3},0},
{{{2,6},4},0},
{{{2,6},5},0},
{{{2,6},6},0},
{{{3,4},1},0},
{{{3,4},2},0},
{{{3,4},3},0},
{{{3,4},4},0},
{{{3,4},5},0},
{{{3,4},6},0},
{{{3,5},1},0},
{{{3,5},2},0},
{{{3,5},3},0},
{{{3,5},4},0},
{{{3,5},5},0},
{{{3,5},6},0},
{{{3,6},1},0},
{{{3,6},2},0},
{{{3,6},3},0},
{{{3,6},4},0},
{{{3,6},5},0},
{{{3,6},6},0},
{{{4,5},1},0},
{{{4,5},2},0},
{{{4,5},3},0},
{{{4,5},4},0},
{{{4,5},5},0},
{{{4,5},6},0},
{{{4,6},1},0},
{{{4,6},2},0},
{{{4,6},3},0},
{{{4,6},4},0},
{{{4,6},5},0},
{{{4,6},6},0},
{{{5,6},1},0},
{{{5,6},2},0},
{{{5,6},3},0},
{{{5,6},4},0},
{{{5,6},5},0},
{{{5,6},6},0}}$

isom:=
mat((b(1,1),b(1,2),0,0,0,0),(b(2,1),b(2,2),0,0,0,0),(b(3,1),b(3,2),b(2,2)*b(1,1)
 - b(2,1)*b(1,2),0,0,0),(b(4,1),b(4,2),b(3,2)*b(1,1) - b(3,1)*b(1,2),(b(2,2)*b(1
,1) - b(2,1)*b(1,2))*b(1,1),(b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(1,2),0),(b(5,1),b(
5,2),b(3,2)*b(2,1) - b(3,1)*b(2,2),(b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(2,1),(b(2,2
)*b(1,1) - b(2,1)*b(1,2))*b(2,2),0),(b(6,1),b(6,2),b(4,2)*b(2,1) - b(4,1)*b(2,2)
 - b(5,1)*b(1,2) + b(5,2)*b(1,1), - ((b(2,2)*b(1,1) + b(2,1)*b(1,2))*b(3,1) - 2*
b(3,2)*b(2,1)*b(1,1)),b(3,2)*b(2,2)*b(1,1) + b(3,2)*b(2,1)*b(1,2) - 2*b(3,1)*b(2
,2)*b(1,2),(b(2,2)*b(1,1) + b(2,1)*b(1,2))*(b(2,2)*b(1,1) - b(2,1)*b(1,2))))$
$

det(isom):=(b(2,2)*b(1,1) + b(2,1)*b(1,2))*(b(2,2)*b(1,1) - b(2,1)*b(1,2))**6$

phase2:$

**************** FIRST KIND ********************************************$

**************** SUPPOSE b(1,1) NEQ 0 **********************************$

{{{{1,2},1},0},
{{{1,2},2},0},
{{{1,2},3},0},
{{{1,2},4},0},
{{{1,2},5},0},
{{{1,2},6},0},
{{{1,3},1},0},
{{{1,3},2},0},
{{{1,3},3},0},
{{{1,3},4},0},
{{{1,3},5},0},
{{{1,3},6},0},
{{{1,4},1},0},
{{{1,4},2},0},
{{{1,4},3},0},
{{{1,4},4},0},
{{{1,4},5},0},
{{{1,4},6},0},
{{{1,5},1},0},
{{{1,5},2},0},
{{{1,5},3},0},
{{{1,5},4},0},
{{{1,5},5},0},
{{{1,5},6},0},
{{{1,6},1},0},
{{{1,6},2},0},
{{{1,6},3},0},
{{{1,6},4},0},
{{{1,6},5},0},
{{{1,6},6},0},
{{{2,3},1},0},
{{{2,3},2},0},
{{{2,3},3},0},
{{{2,3},4},0},
{{{2,3},5},0},
{{{2,3},6},0},
{{{2,4},1},0},
{{{2,4},2},0},
{{{2,4},3},0},
{{{2,4},4},0},
{{{2,4},5},0},
{{{2,4},6},0},
{{{2,5},1},0},
{{{2,5},2},0},
{{{2,5},3},0},
{{{2,5},4},0},
{{{2,5},5},0},
{{{2,5},6},0},
{{{2,6},1},0},
{{{2,6},2},0},
{{{2,6},3},0},
{{{2,6},4},0},
{{{2,6},5},0},
{{{2,6},6},0},
{{{3,4},1},0},
{{{3,4},2},0},
{{{3,4},3},0},
{{{3,4},4},0},
{{{3,4},5},0},
{{{3,4},6},0},
{{{3,5},1},0},
{{{3,5},2},0},
{{{3,5},3},0},
{{{3,5},4},0},
{{{3,5},5},0},
{{{3,5},6},0},
{{{3,6},1},0},
{{{3,6},2},0},
{{{3,6},3},0},
{{{3,6},4},0},
{{{3,6},5},0},
{{{3,6},6},0},
{{{4,5},1},0},
{{{4,5},2},0},
{{{4,5},3},0},
{{{4,5},4},0},
{{{4,5},5},0},
{{{4,5},6},0},
{{{4,6},1},0},
{{{4,6},2},0},
{{{4,6},3},0},
{{{4,6},4},0},
{{{4,6},5},0},
{{{4,6},6},0},
{{{5,6},1},0},
{{{5,6},2},0},
{{{5,6},3},0},
{{{5,6},4},0},
{{{5,6},5},0},
{{{5,6},6},0}}$

isom_firstkind:=
mat((b(1,1),0,0,0,0,0),(0,b(2,2),0,0,0,0),(b(3,1),b(3,2),b(2,2)*b(1,1),0,0,0),(b
(4,1),b(4,2),b(3,2)*b(1,1),b(2,2)*b(1,1)**2,0,0),(b(5,1),b(5,2), - b(3,1)*b(2,2)
,0,b(2,2)**2*b(1,1),0),(b(6,1),b(6,2),b(5,2)*b(1,1) - b(4,1)*b(2,2), - b(3,1)*b(
2,2)*b(1,1),b(3,2)*b(2,2)*b(1,1),b(2,2)**2*b(1,1)**2))$
$

det(isom):=b(2,2)**7*b(1,1)**7$

isom:=

mat((b(1,1),0,0,0,0,0),

    (0,b(2,2),0,0,0,0),

    (b(3,1),b(3,2),b(2,2)*b(1,1),0,0,0),

                                              2
    (b(4,1),b(4,2),b(3,2)*b(1,1),b(2,2)*b(1,1) ,0,0),

                                            2
    (b(5,1),b(5,2), - b(3,1)*b(2,2),0,b(2,2) *b(1,1),0),

    (b(6,1),b(6,2),b(5,2)*b(1,1) - b(4,1)*b(2,2), - b(3,1)*b(2,2)*b(1,1),

                                2       2
     b(3,2)*b(2,2)*b(1,1),b(2,2) *b(1,1) ))


**************** FIRST KIND ********************************************$

clear b(2,1),b(1,2)$

**************** SUPPOSE b(1,1) = 0 **********************************$

{{{{1,2},1},0},
{{{1,2},2},0},
{{{1,2},3},0},
{{{1,2},4},0},
{{{1,2},5},0},
{{{1,2},6},0},
{{{1,3},1},0},
{{{1,3},2},0},
{{{1,3},3},0},
{{{1,3},4},0},
{{{1,3},5},0},
{{{1,3},6},0},
{{{1,4},1},0},
{{{1,4},2},0},
{{{1,4},3},0},
{{{1,4},4},0},
{{{1,4},5},0},
{{{1,4},6},0},
{{{1,5},1},0},
{{{1,5},2},0},
{{{1,5},3},0},
{{{1,5},4},0},
{{{1,5},5},0},
{{{1,5},6},0},
{{{1,6},1},0},
{{{1,6},2},0},
{{{1,6},3},0},
{{{1,6},4},0},
{{{1,6},5},0},
{{{1,6},6},0},
{{{2,3},1},0},
{{{2,3},2},0},
{{{2,3},3},0},
{{{2,3},4},0},
{{{2,3},5},0},
{{{2,3},6},0},
{{{2,4},1},0},
{{{2,4},2},0},
{{{2,4},3},0},
{{{2,4},4},0},
{{{2,4},5},0},
{{{2,4},6},0},
{{{2,5},1},0},
{{{2,5},2},0},
{{{2,5},3},0},
{{{2,5},4},0},
{{{2,5},5},0},
{{{2,5},6},0},
{{{2,6},1},0},
{{{2,6},2},0},
{{{2,6},3},0},
{{{2,6},4},0},
{{{2,6},5},0},
{{{2,6},6},0},
{{{3,4},1},0},
{{{3,4},2},0},
{{{3,4},3},0},
{{{3,4},4},0},
{{{3,4},5},0},
{{{3,4},6},0},
{{{3,5},1},0},
{{{3,5},2},0},
{{{3,5},3},0},
{{{3,5},4},0},
{{{3,5},5},0},
{{{3,5},6},0},
{{{3,6},1},0},
{{{3,6},2},0},
{{{3,6},3},0},
{{{3,6},4},0},
{{{3,6},5},0},
{{{3,6},6},0},
{{{4,5},1},0},
{{{4,5},2},0},
{{{4,5},3},0},
{{{4,5},4},0},
{{{4,5},5},0},
{{{4,5},6},0},
{{{4,6},1},0},
{{{4,6},2},0},
{{{4,6},3},0},
{{{4,6},4},0},
{{{4,6},5},0},
{{{4,6},6},0},
{{{5,6},1},0},
{{{5,6},2},0},
{{{5,6},3},0},
{{{5,6},4},0},
{{{5,6},5},0},
{{{5,6},6},0}}$

isom_secondkind:=
mat((0,b(1,2),0,0,0,0),(b(2,1),0,0,0,0,0),(b(3,1),b(3,2), - b(2,1)*b(1,2),0,0,0)
,(b(4,1),b(4,2), - b(3,1)*b(1,2),0, - b(2,1)*b(1,2)**2,0),(b(5,1),b(5,2),b(3,2)*
b(2,1), - b(2,1)**2*b(1,2),0,0),(b(6,1),b(6,2), - (b(5,1)*b(1,2) - b(4,2)*b(2,1)
), - b(3,1)*b(2,1)*b(1,2),b(3,2)*b(2,1)*b(1,2), - b(2,1)**2*b(1,2)**2))$
$

det(isom):=b(2,1)**7*b(1,2)**7$

isom:=

mat((0,b(1,2),0,0,0,0),

    (b(2,1),0,0,0,0,0),

    (b(3,1),b(3,2), - b(2,1)*b(1,2),0,0,0),

                                                      2
    (b(4,1),b(4,2), - b(3,1)*b(1,2),0, - b(2,1)*b(1,2) ,0),

                                          2
    (b(5,1),b(5,2),b(3,2)*b(2,1), - b(2,1) *b(1,2),0,0),

    (b(6,1),b(6,2), - (b(5,1)*b(1,2) - b(4,2)*b(2,1)), - b(3,1)*b(2,1)*b(1,2),

                                   2       2
     b(3,2)*b(2,1)*b(1,2), - b(2,1) *b(1,2) ))