degree:10
 order:31
[ 10, 10, 10 ][ 2, 4, 4, 2 ]

minimal polynomial:[ x-10, x^3+x^2-10*x-8 ]
 Galois type:1

 minimal polynomial of other basis elements:
 [ x-10, x^3+x^2-10*x-8 ]
[ x-10, x^3+x^2-10*x-8 ]

 SITA:
[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 10, 0, 0 ], [ 1, 3, 2, 4 ], [ 0, 2, 4, 4 ], [ 0, 4, 4, 2 ] ], 
  [ [ 0, 0, 10, 0 ], [ 0, 2, 4, 4 ], [ 1, 4, 3, 2 ], [ 0, 4, 2, 4 ] ], 
  [ [ 0, 0, 0, 10 ], [ 0, 4, 4, 2 ], [ 0, 4, 2, 4 ], [ 1, 2, 4, 3 ] ] ]