degree:12
 order:30
[ 12, 1, 8, 8 ][ 12, 6, 3, 0, 0, 6 ]

minimal polynomial:[ x-12, x-4, x, x+3, x+6 ]
x^2-1
x^3-6*x^2-16*x
x^4-7*x^3-20*x^2+96*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, 4, 2 ], [ 0, 12, 0, 0, 0 ], 
      [ 0, 6, 0, 0, 6 ], [ 0, 3, 0, 6, 3 ] ], 
  [ [ 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, 8, 0 ], [ 0, 4, 0, 0, 4 ], [ 0, 0, 0, 8, 0 ], 
      [ 1, 0, 1, 6, 0 ], [ 0, 6, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 8 ], [ 0, 2, 0, 4, 2 ], [ 0, 0, 0, 0, 8 ], 
      [ 0, 6, 0, 0, 2 ], [ 1, 3, 1, 2, 1 ] ] ]