degree:12
 order:56
[ 12, 1, 12, 30 ][ 12, 2, 0, 0, 0, 4 ]

minimal polynomial:[ x-12, x-10, x, x+2, x+4 ]
x^2-1
x^3-10*x^2-24*x
x^4-22*x^3-260*x^2+600*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, 1, 2, 0 ], [ 0, 12, 0, 0, 0 ], 
      [ 0, 2, 0, 0, 10 ], [ 0, 0, 0, 4, 8 ] ], 
  [ [ 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, 12, 0 ], [ 0, 2, 0, 0, 10 ], [ 0, 0, 0, 12, 0 ], 
      [ 1, 0, 1, 10, 0 ], [ 0, 4, 0, 0, 8 ] ], 
  [ [ 0, 0, 0, 0, 30 ], [ 0, 0, 0, 10, 20 ], [ 0, 0, 0, 0, 30 ], 
      [ 0, 10, 0, 0, 20 ], [ 1, 8, 1, 8, 12 ] ] ]