degree:12
 order:40
[ 12, 3, 12, 12 ][ 4, 3, 6, 2, 0, 6 ]

minimal polynomial:[ x-12, x-2, x, x+4, x+8 ]x^2-2*x-3
x^5-6*x^4-96*x^3+224*x^2+768*x
x^3-8*x^2-48*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, 1, 1, 3, 6 ], [ 0, 4, 0, 8, 0 ], [ 0, 3, 2, 1, 6 ], [ 0, 6, 0, 6, 0 ] ], 
  [ [ 0, 0, 3, 0, 0 ], [ 0, 1, 0, 2, 0 ], [ 1, 0, 2, 0, 0 ], [ 0, 2, 0, 1, 0 ], [ 0, 0, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 12, 0 ], [ 0, 3, 2, 1, 6 ], [ 0, 8, 0, 4, 0 ], [ 1, 1, 1, 3, 6 ], [ 0, 6, 0, 6, 0 ] ], 
  [ [ 0, 0, 0, 0, 12 ], [ 0, 6, 0, 6, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 6, 0, 6, 0 ], [ 1, 0, 3, 0, 8 ] ] ]