degree:12
 order:45
[ 12, 2, 12, 18 ][ 12, 3, 0, 0, 0, 6 ]

minimal polynomial:[ x-12, x-9, x, x+3, x+6 ]
x^2-x-2
x^3-9*x^2-36*x
x^4-12*x^3-135*x^2+486*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, 6, 2, 3, 0 ], [ 0, 12, 0, 0, 0 ], 
      [ 0, 3, 0, 0, 9 ], [ 0, 0, 0, 6, 6 ] ], 
  [ [ 0, 0, 2, 0, 0 ], [ 0, 2, 0, 0, 0 ], [ 1, 0, 1, 0, 0 ], 
      [ 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 12, 0 ], [ 0, 3, 0, 0, 9 ], [ 0, 0, 0, 12, 0 ], 
      [ 1, 0, 2, 9, 0 ], [ 0, 6, 0, 0, 6 ] ], 
  [ [ 0, 0, 0, 0, 18 ], [ 0, 0, 0, 9, 9 ], [ 0, 0, 0, 0, 18 ], 
      [ 0, 9, 0, 0, 9 ], [ 1, 6, 2, 6, 3 ] ] ]