degree:12
 order:42
[ 12, 2, 1, 2, 12, 12 ][ 6, 0, 0, 5, 0, 0, 1, 0, 0, 1, 1, 1, 5 ]

minimal polynomial:[ x-12, x-6, x-1, x, x+2, x+3, x+6 ]x^4-5*x^2+4
x^2-1
x^2-x-2
x^3-10*x^2-24*x
x^6-8*x^5-65*x^4+180*x^3+324*x^2-432*x

 SITA:
[ [ [ 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, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 12, 0, 0, 0, 0, 0 ], [ 1, 4, 1, 0, 0, 5, 1 ], 
      [ 0, 6, 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 0, 0, 12 ], 
      [ 0, 0, 0, 0, 0, 6, 6 ], [ 0, 5, 1, 0, 1, 0, 5 ], 
      [ 0, 1, 0, 1, 1, 5, 4 ] ], 
  [ [ 0, 0, 2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 0 ],
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0 ], 
      [ 0, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1 ] ], 
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0 ],
      [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 1, 1, 0, 0, 0 ],
      [ 0, 0, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 0 ], 
      [ 0, 1, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 5, 1, 0, 1, 0, 5 ], 
      [ 0, 6, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 12, 0 ], 
      [ 0, 6, 0, 0, 0, 0, 6 ], [ 1, 0, 0, 1, 0, 10, 0 ], 
      [ 0, 5, 1, 0, 1, 0, 5 ] ], 
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 1, 0, 1, 1, 5, 4 ], 
      [ 0, 0, 0, 0, 0, 6, 6 ], [ 0, 12, 0, 0, 0, 0, 0 ], 
      [ 0, 6, 0, 0, 0, 6, 0 ], [ 0, 5, 1, 0, 1, 0, 5 ], 
      [ 1, 4, 1, 0, 0, 5, 1 ] ] ]