degree:12
 order:36
[ 12, 5, 6, 12 ][ 12, 0, 6, 0, 0, 6 ]

minimal polynomial:[ x-12, x-6, x, x+6, x+12 ]x^2-4*x-5
x^3-36*x
x^3-6*x^2-72*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, 0, 5, 0, 6 ], [ 0, 12, 0, 0, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 6, 0, 6, 0 ] ], 
  [ [ 0, 0, 5, 0, 0 ], [ 0, 5, 0, 0, 0 ], [ 1, 0, 4, 0, 0 ], [ 0, 0, 0, 5, 0 ], [ 0, 0, 0, 0, 5 ] ], 
  [ [ 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 6 ], [ 0, 0, 0, 6, 0 ], [ 1, 0, 5, 0, 0 ], [ 0, 6, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 12 ], [ 0, 6, 0, 6, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 12, 0, 0, 0 ], [ 1, 0, 5, 0, 6 ] ] ]