degree:12
 order:30
[ 12, 2, 6, 9 ][ 6, 2, 8, 2, 0, 4 ]

minimal polynomial:[ x-12, x-3, x, x+2, x+8 ]x^2-x-2
x^5-x^4-32*x^3-12*x^2+144*x
x^3-6*x^2-27*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, 3, 1, 1, 6 ], [ 0, 6, 0, 6, 0 ], [ 0, 2, 2, 2, 6 ], [ 0, 8, 0, 4, 0 ] ], 
  [ [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 1, 0 ], [ 1, 0, 1, 0, 0 ], [ 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 6, 0 ], [ 0, 1, 1, 1, 3 ], [ 0, 6, 0, 0, 0 ], [ 1, 2, 0, 0, 3 ], [ 0, 4, 0, 2, 0 ] ], 
  [ [ 0, 0, 0, 0, 9 ], [ 0, 6, 0, 3, 0 ], [ 0, 0, 0, 0, 9 ], [ 0, 6, 0, 3, 0 ], [ 1, 0, 2, 0, 6 ] ] ]