we look for an automorphism of g_{6,10}$

nombre d'equations90$

processus de resolution: phase 1$

nombre d'equations90$

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

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

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

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

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

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

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

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

sa valeur doit etre WW:=b(5,2)*b(3,1) - b(5,1)*b(3,2) + b(4,2)*b(1,1) - b(4,1)*b
(1,2)$

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

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

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

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

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

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

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

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

sa valeur doit etre WW:=b(5,3)*b(3,1) - b(5,1)*b(3,3) + b(4,3)*b(1,1) - b(4,1)*b
(1,3)$

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

Unknown: b(3,6)
Unknown: b(3,6)
bonne inconnue W:=b(3,6)$

sa valeur doit etre WW:=0$

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

Unknown: b(4,6)
Unknown: b(4,6)
bonne inconnue W:=b(4,6)$

sa valeur doit etre WW:=0$

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

Unknown: b(5,6)
Unknown: b(5,6)
bonne inconnue W:=b(5,6)$

sa valeur doit etre WW:=0$

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

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

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

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

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


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! b(3,3)*b(3,1)*b(1,1) - b(3,1)**2*b(1,3) + b(2,3)*b(1,1)**2 - b(2,1)*b(1,3)
*b(1,1)
on resout l'equation {{2,3},4} qui est  maintenant AA:=b(2,3)*b(1,2) - b(2,2)*b(
1,3)$

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


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

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


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! b(3,3)*b(1,2) - b(3,2)*b(1,3)
on resout l'equation {{2,3},6} qui est  maintenant AA:=b(5,3)*b(3,2) - b(5,2)*b(
3,3) + b(4,3)*b(1,2) - b(4,2)*b(1,3)$

Unknowns: {b(5,3),b(5,2),b(4,3),b(4,2),b(3,3),b(3,2),b(1,3),b(1,2)}
Unknowns: {b(5,3),b(5,2),b(4,3),b(4,2),b(3,3),b(3,2),b(1,3),b(1,2)}


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! b(5,3)*b(3,2) - b(5,2)*b(3,3) + b(4,3)*b(1,2) - b(4,2)*b(1,3)
on resout l'equation {{2,4},6} qui est  maintenant AA:=b(3,2)**2*b(1,1) - b(3,2)
*b(3,1)*b(1,2) + b(2,2)*b(1,2)*b(1,1) - b(2,1)*b(1,2)**2$

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

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


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! b(3,3)*b(3,2)*b(1,1) - b(3,2)*b(3,1)*b(1,3) + b(2,3)*b(1,2)*b(1,1) - b(2,1
)*b(1,3)*b(1,2)
on resout l'equation {{3,4},6} qui est  maintenant AA:=b(3,3)*b(3,2)*b(1,1) - b(
3,3)*b(3,1)*b(1,2) + b(2,2)*b(1,3)*b(1,1) - b(2,1)*b(1,3)*b(1,2)$

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


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

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


pas! de! selection! possible! de! variable! a! coefficient! independant! des! in
connues! \
dans! b(3,3)**2*b(1,1) - b(3,3)*b(3,1)*b(1,3) - b(3,2)*b(3,1)*b(1,1) + b(3,1)**2
*b(1,2) + b(2,3)*b(1,3)*b(1,1) - b(2,2)*b(1,1)**2 - b(2,1)*b(1,3)**2 + b(2,1)*b(
1,2)*b(1,1)
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},0},
{{{1,5},1},0},
{{{1,5},2},0},
{{{1,5},3},0},
{{{1,5},4},0},
{{{1,5},5},0},
{{{1,5},6},
b(3,3)*b(3,1)*b(1,1) - b(3,1)**2*b(1,3) + b(2,3)*b(1,1)**2 - b(2,1)*b(1,3)*b(1,1
)},
{{{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},b(2,3)*b(1,2) - b(2,2)*b(1,3)},
{{{2,3},5},b(3,3)*b(1,2) - b(3,2)*b(1,3)},
{{{2,3},6},
b(5,3)*b(3,2) - b(5,2)*b(3,3) + b(4,3)*b(1,2) - b(4,2)*b(1,3)},
{{{2,4},1},0},
{{{2,4},2},0},
{{{2,4},3},0},
{{{2,4},4},0},
{{{2,4},5},0},
{{{2,4},6},
b(3,2)**2*b(1,1) - b(3,2)*b(3,1)*b(1,2) + b(2,2)*b(1,2)*b(1,1) - b(2,1)*b(1,2)**
2},
{{{2,5},1},0},
{{{2,5},2},0},
{{{2,5},3},0},
{{{2,5},4},0},
{{{2,5},5},0},
{{{2,5},6},
b(3,3)*b(3,2)*b(1,1) - b(3,2)*b(3,1)*b(1,3) + b(2,3)*b(1,2)*b(1,1) - b(2,1)*b(1,
3)*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},
b(3,3)*b(3,2)*b(1,1) - b(3,3)*b(3,1)*b(1,2) + b(2,2)*b(1,3)*b(1,1) - b(2,1)*b(1,
3)*b(1,2)},
{{{3,5},1},0},
{{{3,5},2},0},
{{{3,5},3},0},
{{{3,5},4},0},
{{{3,5},5},0},
{{{3,5},6},
b(3,3)**2*b(1,1) - b(3,3)*b(3,1)*b(1,3) - b(3,2)*b(3,1)*b(1,1) + b(3,1)**2*b(1,2
) + b(2,3)*b(1,3)*b(1,1) - b(2,2)*b(1,1)**2 - b(2,1)*b(1,3)**2 + b(2,1)*b(1,2)*b
(1,1)},
{{{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},0},
{{{1,5},1},0},
{{{1,5},2},0},
{{{1,5},3},0},
{{{1,5},4},0},
{{{1,5},5},0},
{{{1,5},6},
(b(2,3)*b(1,1) - b(2,1)*b(1,3))*b(1,1) - b(3,1)**2*b(1,3) + b(3,3)*b(3,1)*b(1,1)
},
{{{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},
b(2,3)*b(1,2) - b(2,2)*b(1,3)},
{{{2,3},5},
b(3,3)*b(1,2) - b(3,2)*b(1,3)},
{{{2,3},6},
b(4,3)*b(1,2) - b(4,2)*b(1,3) - b(5,2)*b(3,3) + b(5,3)*b(3,2)},
{{{2,4},1},0},
{{{2,4},2},0},
{{{2,4},3},0},
{{{2,4},4},0},
{{{2,4},5},0},
{{{2,4},6},
(b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(3,2) + (b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(1,2)}
,
{{{2,5},1},0},
{{{2,5},2},0},
{{{2,5},3},0},
{{{2,5},4},0},
{{{2,5},5},0},
{{{2,5},6},
(b(2,3)*b(1,1) - b(2,1)*b(1,3))*b(1,2) - b(3,2)*b(3,1)*b(1,3) + b(3,3)*b(3,2)*b(
1,1)},
{{{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},
(b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(3,3) + (b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(1,3)}
,
{{{3,5},1},0},
{{{3,5},2},0},
{{{3,5},3},0},
{{{3,5},4},0},
{{{3,5},5},0},
{{{3,5},6},
(b(2,3)*b(1,1) - b(2,1)*b(1,3))*b(1,3) - b(3,2)*b(3,1)*b(1,1) + (b(3,3)*b(1,1) -
 b(3,1)*b(1,3))*b(3,3) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(1,1) - b(3,1)**2*b(1
,2))},
{{{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),b(1,3),0,0,0),(b(2,1),b(2,2),b(2,3),0,0,0),(b(3,1),b(3,2),b(3
,3),0,0,0),(b(4,1),b(4,2),b(4,3),b(2,2)*b(1,1) - b(2,1)*b(1,2),b(2,3)*b(1,1) - b
(2,1)*b(1,3),0),(b(5,1),b(5,2),b(5,3),b(3,2)*b(1,1) - b(3,1)*b(1,2),b(3,3)*b(1,1
) - b(3,1)*b(1,3),0),(b(6,1),b(6,2),b(6,3),b(4,2)*b(1,1) - b(4,1)*b(1,2) - b(5,1
)*b(3,2) + b(5,2)*b(3,1),b(4,3)*b(1,1) - b(4,1)*b(1,3) - b(5,1)*b(3,3) + b(5,3)*
b(3,1),(b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(1,1) - b(3,1)**2*b(1,2) + b(3,2)*b(3,1)
*b(1,1)))$

det(isom):=(b(3,3)*b(2,2)*b(1,1) - b(3,3)*b(2,1)*b(1,2) - b(3,2)*b(2,3)*b(1,1) +
 b(3,2)*b(2,1)*b(1,3) + b(3,1)*b(2,3)*b(1,2) - b(3,1)*b(2,2)*b(1,3))**2*(b(3,2)*
b(3,1)*b(1,1) - b(3,1)**2*b(1,2) + b(2,2)*b(1,1)**2 - b(2,1)*b(1,2)*b(1,1))*b(1,
1)$

phase2:$

If b(1,2) neq 0 , then:$

Which gives zero determinant. Hence b(1,2):=0$

clear b(2,3),b(3,3)$

b(1,2):=0$

equations 23|4 and 23|5 give:$

b(1,3):=0$

equation 24|6 gives:$

b(3,2):=0$

equation 15|6 gives :$

b(3,1):=( - b(2,3)*b(1,1))/b(3,3)$

equation 23|6 gives :$

b(5,2):=0$

equation 35|6 gives :$

b(2,2):=b(3,3)**2/b(1,1)$

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

det(isom):=b(3,3)**8*b(1,1)**2$

isom:=

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

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

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

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

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

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

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

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