degree:12
 order:32
[ 12, 3, 4, 12 ][ 12, 0, 4, 0, 0, 4 ]

minimal polynomial:[ x-12, x, x+4, x^2-48 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-2*x-3
x^3-16*x
x^5-8*x^4-96*x^3+384*x^2+2304*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, 4, 3, 0, 4 ], [ 0, 12, 0, 0, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 4, 0, 4, 4 ] ], 
  [ [ 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, 4, 0 ], [ 0, 0, 0, 0, 4 ], [ 0, 0, 0, 4, 0 ], [ 1, 0, 3, 0, 0 ], [ 0, 4, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 12 ], [ 0, 4, 0, 4, 4 ], [ 0, 0, 0, 0, 12 ], [ 0, 12, 0, 0, 0 ], [ 1, 4, 3, 0, 4 ] ] ]