degree:12
 order:24
[ 12, 1, 4, 6 ][ 12, 6, 8, 0, 0, 4 ]

minimal polynomial:[ x-12, x-2, x, x+4, x+6 ]x^2-1
x^3-2*x^2-8*x
x^3-4*x^2-12*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, 2, 4 ], [ 0, 12, 0, 0, 0 ], [ 0, 6, 0, 0, 6 ], [ 0, 8, 0, 4, 0 ] ], 
  [ [ 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 4, 0 ], [ 0, 2, 0, 0, 2 ], [ 0, 0, 0, 4, 0 ], [ 1, 0, 1, 2, 0 ], [ 0, 4, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 6 ], [ 0, 4, 0, 2, 0 ], [ 0, 0, 0, 0, 6 ], [ 0, 6, 0, 0, 0 ], [ 1, 0, 1, 0, 4 ] ] ]