degree:12
 order:42
[ 12, 3, 2, 24 ][ 4, 0, 3, 0, 1, 1 ]

minimal polynomial:[ x-12, x-4, x, x+2, x+3 ]x^3-9*x
x^2-x-2
x^4-23*x^3-36*x^2+288*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, 4, 1, 0, 6 ], [ 0, 4, 0, 0, 8 ], [ 0, 0, 0, 0, 12 ], [ 0, 3, 1, 1, 7 ] ], 
  [ [ 0, 0, 3, 0, 0 ], [ 0, 1, 0, 0, 2 ], [ 1, 0, 0, 2, 0 ], [ 0, 0, 3, 0, 0 ], [ 0, 1, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 2 ], [ 0, 0, 2, 0, 0 ], [ 1, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 24 ], [ 0, 6, 2, 2, 14 ], [ 0, 8, 0, 0, 16 ], [ 0, 12, 0, 0, 12 ], [ 1, 7, 2, 1, 13 ] 
     ] ]