degree:12
 order:60
[ 12, 2, 12, 33 ][ 12, 1, 0, 0, 0, 4 ]

minimal polynomial:[ x-12, x-11, x, x+3, x+4 ]
x^2-x-2
x^3-9*x^2-36*x
x^4-25*x^3-297*x^2+1089*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, 8, 2, 1, 0 ], [ 0, 12, 0, 0, 0 ], 
      [ 0, 1, 0, 0, 11 ], [ 0, 0, 0, 4, 8 ] ], 
  [ [ 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, 1, 0, 0, 11 ], [ 0, 0, 0, 12, 0 ], 
      [ 1, 0, 2, 9, 0 ], [ 0, 4, 0, 0, 8 ] ], 
  [ [ 0, 0, 0, 0, 33 ], [ 0, 0, 0, 11, 22 ], [ 0, 0, 0, 0, 33 ], 
      [ 0, 11, 0, 0, 22 ], [ 1, 8, 2, 8, 14 ] ] ]