degree:12
 order:40
[ 12, 3, 6, 18 ][ 12, 0, 4, 0, 0, 4 ]

minimal polynomial:[ x-12, x-6, x, x+4, x+8 ]x^2-2*x-3
x^3-2*x^2-24*x
x^4-20*x^3-12*x^2+864*x

 SITA:
[ [ [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 12, 0, 0, 0 ], [ 1, 2, 3, 0, 6 ], [ 0, 12, 0, 0, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 4, 0, 4, 4 ] ], 
  [ [ 0, 0, 3, 0, 0 ], [ 0, 3, 0, 0, 0 ], [ 1, 0, 2, 0, 0 ], [ 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 6 ], [ 0, 0, 0, 6, 0 ], [ 1, 0, 3, 2, 0 ], [ 0, 4, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 18 ], [ 0, 6, 0, 6, 6 ], [ 0, 0, 0, 0, 18 ], [ 0, 12, 0, 0, 6 ], [ 1, 4, 3, 2, 8 ] ] ]