degree:12
 order:40
[ 12, 6, 9, 12 ][ 8, 4, 2, 0, 2, 6 ]

minimal polynomial:[ x-12, x-4, x, x+4, x+8 ]x^3-6*x^2-4*x+24
x^3-7*x^2-21*x+27
x^5-4*x^4-112*x^3+64*x^2+1536*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, 4, 3, 2 ], [ 0, 8, 0, 0, 4 ], [ 0, 4, 0, 0, 8 ], [ 0, 2, 2, 6, 2 ] ], 
  [ [ 0, 0, 6, 0, 0 ], [ 0, 4, 0, 0, 2 ], [ 1, 0, 2, 3, 0 ], [ 0, 0, 2, 4, 0 ], [ 0, 2, 0, 0, 4 ] ], 
  [ [ 0, 0, 0, 9, 0 ], [ 0, 3, 0, 0, 6 ], [ 0, 0, 3, 6, 0 ], [ 1, 0, 4, 4, 0 ], [ 0, 6, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 0, 12 ], [ 0, 2, 2, 6, 2 ], [ 0, 4, 0, 0, 8 ], [ 0, 8, 0, 0, 4 ], [ 1, 2, 4, 3, 2 ] ] ]