delta:=
mat((0,0,0,0,0,0),(0,0,0,0,0,0),(0,0,0,0,0,0),(0,0,0,0,0,0),(0,1,0,0,0,0),(0,0,1
,0,0,0))$

shortformdelta:={0,
ss,
0,
0,
ss,
0,
ss,
1,
0,
ss,
0,
1}$

phase 1 de la resolution des equations$

on resout l'equation {{0,1},4} qui est  maintenant AA:= - d(2,0)$

Unknown: d(2,0)
Unknown: d(2,0)
bonne inconnue W:=d(2,0)$

sa valeur doit etre WW:=0$

on resout l'equation {{0,1},5} qui est  maintenant AA:= - d(3,0) + d(2,1)$

Unknowns: {d(3,0),d(2,1)}
Unknowns: {d(3,0),d(2,1)}
bonne inconnue W:=d(3,0)$

sa valeur doit etre WW:=d(2,1)$

on resout l'equation {{0,1},6} qui est  maintenant AA:= - d(4,0) + d(3,1)$

Unknowns: {d(4,0),d(3,1)}
Unknowns: {d(4,0),d(3,1)}
bonne inconnue W:=d(4,0)$

sa valeur doit etre WW:=d(3,1)$

on resout l'equation {{0,2},0} qui est  maintenant AA:= - d(0,5)$

Unknown: d(0,5)
Unknown: d(0,5)
bonne inconnue W:=d(0,5)$

sa valeur doit etre WW:=0$

on resout l'equation {{0,2},1} qui est  maintenant AA:= - d(1,5)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,2},2} qui est  maintenant AA:= - d(2,5)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,2},3} qui est  maintenant AA:= - d(3,5)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,2},4} qui est  maintenant AA:= - d(4,5) + d(1,0)$

Unknowns: {d(4,5),d(1,0)}
Unknowns: {d(4,5),d(1,0)}
bonne inconnue W:=d(4,5)$

sa valeur doit etre WW:=d(1,0)$

on resout l'equation {{0,2},5} qui est  maintenant AA:= - d(5,5) + d(2,2) + d(0,
0)$

Unknowns: {d(5,5),d(2,2),d(0,0)}
Unknowns: {d(5,5),d(2,2),d(0,0)}
bonne inconnue W:=d(5,5)$

sa valeur doit etre WW:=d(2,2) + d(0,0)$

on resout l'equation {{0,2},6} qui est  maintenant AA:= - d(6,5) + d(3,2) + d(2,
1)$

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

sa valeur doit etre WW:=d(3,2) + d(2,1)$

on resout l'equation {{0,3},0} qui est  maintenant AA:= - d(0,6)$

Unknown: d(0,6)
Unknown: d(0,6)
bonne inconnue W:=d(0,6)$

sa valeur doit etre WW:=0$

on resout l'equation {{0,3},1} qui est  maintenant AA:= - d(1,6)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,3},2} qui est  maintenant AA:= - d(2,6)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,3},3} qui est  maintenant AA:= - d(3,6)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,3},4} qui est  maintenant AA:= - d(4,6)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,3},5} qui est  maintenant AA:= - d(5,6) + d(2,3) + d(1,
0)$

Unknowns: {d(5,6),d(2,3),d(1,0)}
Unknowns: {d(5,6),d(2,3),d(1,0)}
bonne inconnue W:=d(5,6)$

sa valeur doit etre WW:=d(2,3) + d(1,0)$

on resout l'equation {{0,3},6} qui est  maintenant AA:= - d(6,6) + d(3,3) + d(0,
0)$

Unknowns: {d(6,6),d(3,3),d(0,0)}
Unknowns: {d(6,6),d(3,3),d(0,0)}
bonne inconnue W:=d(6,6)$

sa valeur doit etre WW:=d(3,3) + d(0,0)$

on resout l'equation {{0,4},5} qui est  maintenant AA:=d(2,4)$

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

sa valeur doit etre WW:=0$

on resout l'equation {{0,4},6} qui est  maintenant AA:=d(3,4) + d(1,0)$

Unknowns: {d(3,4),d(1,0)}
Unknowns: {d(3,4),d(1,0)}
bonne inconnue W:=d(1,0)$

sa valeur doit etre WW:= - d(3,4)$

on resout l'equation {{1,2},0} qui est  maintenant AA:= - d(0,4)$

Unknown: d(0,4)
Unknown: d(0,4)
bonne inconnue W:=d(0,4)$

sa valeur doit etre WW:=0$

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

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

sa valeur doit etre WW:=0$

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

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

sa valeur doit etre WW:=0$

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

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

sa valeur doit etre WW:=d(2,2) + d(1,1)$

on resout l'equation {{1,2},5} qui est  maintenant AA:= - d(5,4) + d(3,2) + d(0,
1)$

Unknowns: {d(5,4),d(3,2),d(0,1)}
Unknowns: {d(5,4),d(3,2),d(0,1)}
bonne inconnue W:=d(5,4)$

sa valeur doit etre WW:=d(3,2) + d(0,1)$

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

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

sa valeur doit etre WW:=d(4,2) + d(3,1)$

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

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

sa valeur doit etre WW:=0$

on resout l'equation {{1,3},5} qui est  maintenant AA:=d(3,3) - d(2,2) + d(1,1) 
- d(0,0)$

Unknowns: {d(3,3),d(2,2),d(1,1),d(0,0)}
Unknowns: {d(3,3),d(2,2),d(1,1),d(0,0)}
bonne inconnue W:=d(3,3)$

sa valeur doit etre WW:=d(2,2) - d(1,1) + d(0,0)$

on resout l'equation {{1,3},6} qui est  maintenant AA:=d(4,3) - d(3,2) - 2*d(2,1
) + d(0,1)$

Unknowns: {d(4,3),d(3,2),d(2,1),d(0,1)}
Unknowns: {d(4,3),d(3,2),d(2,1),d(0,1)}
bonne inconnue W:=d(4,3)$

sa valeur doit etre WW:=d(3,2) + 2*d(2,1) - d(0,1)$

on resout l'equation {{1,4},6} qui est  maintenant AA:=3*d(1,1) - 2*d(0,0)$

Unknowns: {d(1,1),d(0,0)}
Unknowns: {d(1,1),d(0,0)}
bonne inconnue W:=d(1,1)$

sa valeur doit etre WW:=(2*d(0,0))/3$

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

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

sa valeur doit etre WW:=0$

on resout l'equation {{2,3},5} qui est  maintenant AA:=d(1,2) - d(0,3)$

Unknowns: {d(1,2),d(0,3)}
Unknowns: {d(1,2),d(0,3)}
bonne inconnue W:=d(1,2)$

sa valeur doit etre WW:=d(0,3)$

on resout l'equation {{2,3},6} qui est  maintenant AA:= - d(2,2) + d(0,2) + d(0,
0)$

Unknowns: {d(2,2),d(0,2),d(0,0)}
Unknowns: {d(2,2),d(0,2),d(0,0)}
bonne inconnue W:=d(2,2)$

sa valeur doit etre WW:=d(0,2) + d(0,0)$

on resout l'equation {{2,4},6} qui est  maintenant AA:=d(0,3)$

Unknown: d(0,3)
Unknown: d(0,3)
bonne inconnue W:=d(0,3)$

sa valeur doit etre WW:=0$

Derivation equations to cancel (Reduce output) : \\{{{{0,1},4},0},
{{{0,1},5},0},
{{{0,1},6},0},
{{{0,2},0},0},
{{{0,2},1},0},
{{{0,2},2},0},
{{{0,2},3},0},
{{{0,2},4},0},
{{{0,2},5},0},
{{{0,2},6},0},
{{{0,3},0},0},
{{{0,3},1},0},
{{{0,3},2},0},
{{{0,3},3},0},
{{{0,3},4},0},
{{{0,3},5},0},
{{{0,3},6},0},
{{{0,4},5},0},
{{{0,4},6},0},
{{{0,5},5},0},
{{{0,5},6},0},
{{{0,6},5},0},
{{{0,6},6},0},
{{{1,2},0},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},0},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},0},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},4},0},
{{{1,5},5},0},
{{{1,5},6},0},
{{{1,6},4},0},
{{{1,6},5},0},
{{{1,6},6},0},
{{{2,3},0},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},4},0},
{{{2,4},5},0},
{{{2,4},6},0},
{{{2,5},4},0},
{{{2,5},5},0},
{{{2,5},6},0},
{{{2,6},4},0},
{{{2,6},5},0},
{{{2,6},6},0},
{{{3,4},5},0},
{{{3,4},6},0},
{{{3,5},5},0},
{{{3,5},6},0},
{{{3,6},5},0},
{{{3,6},6},0},
{{{4,5},6},0},
{{{4,6},6},0}}$

il n'y a pas de phase 2$

derivation generique de gtildedelta:$

MATD:=
mat((d(0,0),d(0,1),d(0,2),0,0,0,0),(0,(2*d(0,0))/3,0,0,0,0,0),(0,d(2,1),d(0,2) +
 d(0,0),0,0,0,0),(d(2,1),d(3,1),d(3,2),(3*d(0,2) + 4*d(0,0))/3,0,0,0),(d(3,1),d(
4,1),d(4,2),2*d(2,1) - d(0,1) + d(3,2),(3*d(0,2) + 5*d(0,0))/3,0,0),(d(5,0),d(5,
1),d(5,2),d(5,3),d(3,2) + d(0,1),d(0,2) + 2*d(0,0),0),(d(6,0),d(6,1),d(6,2),d(6,
3),d(4,2) + d(3,1),d(3,2) + d(2,1),(3*d(0,2) + 7*d(0,0))/3))$

pour delta:=

[0  0  0  0  0  0]
[                ]
[0  0  0  0  0  0]
[                ]
[0  0  0  0  0  0]
[                ]
[0  0  0  0  0  0]
[                ]
[0  1  0  0  0  0]
[                ]
[0  0  1  0  0  0]


pour shortformdelta:={0,

   ss,

   0,

   0,

   ss,

   0,

   ss,

   1,

   0,

   ss,

   0,

   1}

Unknowns: {d(6,3),
d(6,2),
d(6,1),
d(6,0),
d(5,3),
d(5,2),
d(5,1),
d(5,0),
d(4,2),
d(4,1),
d(3,2),
d(3,1),
d(2,1),
d(0,2),
d(0,1),
d(0,0)}
Unknowns: {d(6,3),
d(6,2),
d(6,1),
d(6,0),
d(5,3),
d(5,2),
d(5,1),
d(5,0),
d(4,2),
d(4,1),
d(3,2),
d(3,1),
d(2,1),
d(0,2),
d(0,1),
d(0,0)}
listeparametresMATD{d(6,3),
d(6,2),
d(6,1),
d(6,0),
d(5,3),
d(5,2),
d(5,1),
d(5,0),
d(4,2),
d(4,1),
d(3,2),
d(3,1),
d(2,1),
d(0,2),
d(0,1),
d(0,0)}$

dim Der(gtildedelta):=16$

un element t1 d'un tore $

t1:=D(0,0)$

t1:=

[1   0   0   0    0   0   0 ]
[                           ]
[    2                      ]
[0  ---  0   0    0   0   0 ]
[    3                      ]
[                           ]
[0   0   1   0    0   0   0 ]
[                           ]
[            4              ]
[0   0   0  ---   0   0   0 ]
[            3              ]
[                           ]
[                 5         ]
[0   0   0   0   ---  0   0 ]
[                 3         ]
[                           ]
[0   0   0   0    0   2   0 ]
[                           ]
[                         7 ]
[0   0   0   0    0   0  ---]
[                         3 ]


MATD:=

mat((d(0,0),d(0,1),d(0,2),0,0,0,0),

        2*d(0,0)
    (0,----------,0,0,0,0,0),
           3

    (0,d(2,1),d(0,2) + d(0,0),0,0,0,0),

                           3*d(0,2) + 4*d(0,0)
    (d(2,1),d(3,1),d(3,2),---------------------,0,0,0),
                                    3

                                                      3*d(0,2) + 5*d(0,0)
    (d(3,1),d(4,1),d(4,2),2*d(2,1) - d(0,1) + d(3,2),---------------------,0,0),
                                                               3

    (d(5,0),d(5,1),d(5,2),d(5,3),d(3,2) + d(0,1),d(0,2) + 2*d(0,0),0),

    (d(6,0),d(6,1),d(6,2),d(6,3),d(4,2) + d(3,1),d(3,2) + d(2,1),

      3*d(0,2) + 7*d(0,0)
     ---------------------))
               3


                                                   2
  - (3*x - 2)*(3*x - 4)*(3*x - 5)*(3*x - 7)*(x - 1) *(x - 2)
-------------------------------------------------------------
                             81

Unknowns: {d(0,2),d(0,0)}

Unknowns: {d(0,2),d(0,0)}

commutant de t1 dans der(gtildedelta):

mat((d(0,0),0,d(0,2),0,0,0,0),

        2*d(0,0)
    (0,----------,0,0,0,0,0),
           3

    (0,0,d(0,2) + d(0,0),0,0,0,0),

            3*d(0,2) + 4*d(0,0)
    (0,0,0,---------------------,0,0,0),
                     3

              3*d(0,2) + 5*d(0,0)
    (0,0,0,0,---------------------,0,0),
                       3

    (0,0,0,0,0,d(0,2) + 2*d(0,0),0),

                  3*d(0,2) + 7*d(0,0)
    (0,0,0,0,0,0,---------------------))
                           3


Unknowns: {d(0,2),d(0,0)}

Unknowns: {d(0,2),d(0,0)}

t2:=D(0,2):=

[0  0  1  0  0  0  0]
[                   ]
[0  0  0  0  0  0  0]
[                   ]
[0  0  1  0  0  0  0]
[                   ]
[0  0  0  1  0  0  0]
[                   ]
[0  0  0  0  1  0  0]
[                   ]
[0  0  0  0  0  1  0]
[                   ]
[0  0  0  0  0  0  1]


{{x - 1,

  5,


  [arbcomplex(57)]
  [              ]
  [      0       ]
  [              ]
  [arbcomplex(57)]
  [              ]
  [arbcomplex(58)]
  [              ]
  [arbcomplex(59)]
  [              ]
  [arbcomplex(60)]
  [              ]
  [arbcomplex(61)]

  },

 {x,

  2,


  [arbcomplex(62)]
  [              ]
  [arbcomplex(63)]
  [              ]
  [      0       ]
  [              ]
  [      0       ]
  [              ]
  [      0       ]
  [              ]
  [      0       ]
  [              ]
  [      0       ]

  }}

Unknowns: {d(0,2),d(0,0)}

Unknowns: {d(0,2),d(0,0)}

commutant simultane de t1,t2 dans der(gtildedelta):

mat((d(0,0),0,d(0,2),0,0,0,0),

        2*d(0,0)
    (0,----------,0,0,0,0,0),
           3

    (0,0,d(0,2) + d(0,0),0,0,0,0),

            3*d(0,2) + 4*d(0,0)
    (0,0,0,---------------------,0,0,0),
                     3

              3*d(0,2) + 5*d(0,0)
    (0,0,0,0,---------------------,0,0),
                       3

    (0,0,0,0,0,d(0,2) + 2*d(0,0),0),

                  3*d(0,2) + 7*d(0,0)
    (0,0,0,0,0,0,---------------------))
                           3


 t1,t2 est un tore maximal.


matrice de passage de la base X(0)=delta, X(1),..., X(6) a une base  diagonali\
sant le tore maximal: on peut prendre

P:=

[1  0  1  0  0  0  0]
[                   ]
[0  1  0  0  0  0  0]
[                   ]
[0  0  1  0  0  0  0]
[                   ]
[0  0  0  1  0  0  0]
[                   ]
[0  0  0  0  1  0  0]
[                   ]
[0  0  0  0  0  1  0]
[                   ]
[0  0  0  0  0  0  1]


P**(-1)*t1*P:=

[1   0   0   0    0   0   0 ]
[                           ]
[    2                      ]
[0  ---  0   0    0   0   0 ]
[    3                      ]
[                           ]
[0   0   1   0    0   0   0 ]
[                           ]
[            4              ]
[0   0   0  ---   0   0   0 ]
[            3              ]
[                           ]
[                 5         ]
[0   0   0   0   ---  0   0 ]
[                 3         ]
[                           ]
[0   0   0   0    0   2   0 ]
[                           ]
[                         7 ]
[0   0   0   0    0   0  ---]
[                         3 ]


P**(-1)*t2*P:=

[0  0  0  0  0  0  0]
[                   ]
[0  0  0  0  0  0  0]
[                   ]
[0  0  1  0  0  0  0]
[                   ]
[0  0  0  1  0  0  0]
[                   ]
[0  0  0  0  1  0  0]
[                   ]
[0  0  0  0  0  1  0]
[                   ]
[0  0  0  0  0  0  1]


matrice des derivations dans cette base diagonalisante Y(1),...,Y(7):

P**(-1)*MATD*P:=
mat((d(0,0), - (d(2,1) - d(0,1)),0,0,0,0,0),(0,(2*d(0,0))/3,0,0,0,0,0),(0,d(2,1)
,d(0,2) + d(0,0),0,0,0,0),(d(2,1),d(3,1),d(3,2) + d(2,1),(3*d(0,2) + 4*d(0,0))/3
,0,0,0),(d(3,1),d(4,1),d(4,2) + d(3,1),2*d(2,1) - d(0,1) + d(3,2),(3*d(0,2) + 5*
d(0,0))/3,0,0),(d(5,0),d(5,1),d(5,2) + d(5,0),d(5,3),d(3,2) + d(0,1),d(0,2) + 2*
d(0,0),0),(d(6,0),d(6,1),d(6,2) + d(6,0),d(6,3),d(4,2) + d(3,1),d(3,2) + d(2,1),
(3*d(0,2) + 7*d(0,0))/3))$

PP:=
mat((1,0,1,0,0,0,0),(0,1,0,0,0,0,0),(0,0,1,0,0,0,0),(0,0,0,1,0,0,0),(0,0,0,0,1,0
,0),(0,0,0,0,0,1,0),(0,0,0,0,0,0,1))$

avec PP:=P*Q:=
mat((1,0,1,0,0,0,0),(0,1,0,0,0,0,0),(0,0,1,0,0,0,0),(0,0,0,1,0,0,0),(0,0,0,0,1,0
,0),(0,0,0,0,0,1,0),(0,0,0,0,0,0,1))$

on voit apparaitre les poids sur la diagonale$

ladiag := {{1,d(0,0)},
{2,(2*d(0,0))/3},
{3,d(0,2) + d(0,0)},
{4,(3*d(0,2) + 4*d(0,0))/3},
{5,(3*d(0,2) + 5*d(0,0))/3},
{6,d(0,2) + 2*d(0,0)},
{7,(3*d(0,2) + 7*d(0,0))/3}}$

calcul de relations de commutation de la base diaY(j) diagonalisant le tore$

listcommutateursdesx := {{{0,1},0},
{{0,2},x(5)},
{{0,3},x(6)},
{{0,4},0},
{{0,5},0},
{{0,6},0},
{{1,2},x(4)},
{{1,3},x(5)},
{{1,4},x(6)},
{{1,5},0},
{{1,6},0},
{{2,3}, - x(6)},
{{2,4},0},
{{2,5},0},
{{2,6},0},
{{3,4},0},
{{3,5},0},
{{3,6},0},
{{4,5},0},
{{4,6},0},
{{5,6},0}}$

diaY(1):=x(0)$

diaY(2):=x(1)$

diaY(3):=x(2) + x(0)$

diaY(4):=x(3)$

diaY(5):=x(4)$

diaY(6):=x(5)$

diaY(7):=x(6)$

liste des commutateurs des diaY(i) := (diadiaY=diaY$

{{{1,2},0},
{{1,3},diadiay(6)},
{{1,4},diadiay(7)},
{{1,5},0},
{{1,6},0},
{{1,7},0},
{{2,3},diadiay(5)},
{{2,4},diadiay(6)},
{{2,5},diadiay(7)},
{{2,6},0},
{{2,7},0},
{{3,4},0},
{{3,5},0},
{{3,6},0},
{{3,7},0},
{{4,5},0},
{{4,6},0},
{{4,7},0},
{{5,6},0},
{{5,7},0},
{{6,7},0}}$

on pose :$

avec comme matrice de changement de base :$

[0  0  0   1  0  0  0 ]
[                     ]
[0  0  -1  0  0  0  0 ]
[                     ]
[0  1  0   0  0  0  0 ]
[                     ]
[1  0  0   0  0  0  0 ]
[                     ]
[0  0  0   0  0  1  0 ]
[                     ]
[0  0  0   0  1  0  0 ]
[                     ]
[0  0  0   0  0  0  -1]


det(isom):= -1

*** zz declared operator 

ZZ(1):=diay(4)

ZZ(2):=diay(3)

ZZ(3):= - diay(2)

ZZ(4):=diay(1)

ZZ(5):=diay(6)

ZZ(6):=diay(5)

ZZ(7):= - diay(7)

*** zzz declared operator 

liste des commutateurs des ZZ(i) (ZZZ=ZZ:=

{{{1,2},0},
{{1,3},zzz(5)},
{{1,4},zzz(7)},
{{1,5},0},
{{1,6},0},
{{1,7},0},
{{2,3},zzz(6)},
{{2,4}, - zzz(5)},
{{2,5},0},
{{2,6},0},
{{2,7},0},
{{3,4},0},
{{3,5},0},
{{3,6},zzz(7)},
{{3,7},0},
{{4,5},0},
{{4,6},0},
{{4,7},0},
{{5,6},0},
{{5,7},0},
{{6,7},0}}$

On obtient donc   les relations de commutation de g_{7,2.36}.$