degree:12
 order:48
[ 12, 3, 12, 20 ][ 12, 2, 0, 0, 0, 6 ]

minimal polynomial:[ x-12, x-10, x, x+4, x+6 ]x^2-2*x-3
x^3-8*x^2-48*x
x^4-14*x^3-160*x^2+800*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, 3, 2, 0 ], [ 0, 12, 0, 0, 0 ], [ 0, 2, 0, 0, 10 ], [ 0, 0, 0, 6, 6 ] ], 
  [ [ 0, 0, 3, 0, 0 ], [ 0, 3, 0, 0, 0 ], [ 1, 0, 2, 0, 0 ], [ 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 12, 0 ], [ 0, 2, 0, 0, 10 ], [ 0, 0, 0, 12, 0 ], [ 1, 0, 3, 8, 0 ], [ 0, 6, 0, 0, 6 ] ], 
  [ [ 0, 0, 0, 0, 20 ], [ 0, 0, 0, 10, 10 ], [ 0, 0, 0, 0, 20 ], [ 0, 10, 0, 0, 10 ], [ 1, 6, 3, 6, 4 ] 
     ] ]