degree:12
 order:40
[ 12, 12, 1, 2, 12 ][ 4, 12, 0, 4, 0, 0, 4, 0, 0, 2 ]

minimal polynomial:[ x-12, x-4, x-2, x, x+4, x+6 ]x^4-8*x^3-80*x^2+384*x
x^2-1
x^3-4*x
x^5-16*x^4+28*x^3+288*x^2-576*x

 SITA:
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 12, 0, 0, 0, 0 ], [ 1, 2, 4, 1, 0, 4 ], [ 0, 4, 4, 0, 0, 4 ], 
      [ 0, 12, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 12 ], [ 0, 4, 4, 0, 2, 2 ] ], 
  [ [ 0, 0, 12, 0, 0, 0 ], [ 0, 4, 4, 0, 0, 4 ], [ 1, 4, 0, 1, 2, 4 ], 
      [ 0, 0, 12, 0, 0, 0 ], [ 0, 0, 12, 0, 0, 0 ], [ 0, 4, 4, 0, 0, 4 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 2 ], [ 0, 0, 2, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 2, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 12 ], [ 0, 4, 4, 0, 2, 2 ], [ 0, 4, 4, 0, 0, 4 ], 
      [ 0, 0, 0, 0, 0, 12 ], [ 0, 12, 0, 0, 0, 0 ], [ 1, 2, 4, 1, 0, 4 ] ] ]