degree:12
 order:37
[ 12, 12, 12 ][ 4, 5, 3, 4 ]

minimal polynomial:[ x-12, x^3+x^2-12*x+11 ]
 Galois type:1

 minimal polynomial of other basis elements:
 [ x-12, x^3+x^2-12*x+11 ]
[ x-12, x^3+x^2-12*x+11 ]

 SITA:
[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 12, 0, 0 ], [ 1, 2, 4, 5 ], [ 0, 4, 5, 3 ], [ 0, 5, 3, 4 ] ], 
  [ [ 0, 0, 12, 0 ], [ 0, 4, 5, 3 ], [ 1, 5, 2, 4 ], [ 0, 3, 4, 5 ] ], 
  [ [ 0, 0, 0, 12 ], [ 0, 5, 3, 4 ], [ 0, 3, 4, 5 ], [ 1, 4, 5, 2 ] ] ]