degree:10
 order:32
[ 10, 3, 6, 12 ][ 10, 0, 5, 0, 0, 5 ]

minimal polynomial:[ x-10, x, x+10, x^2-20 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-2*x-3
x^5-56*x^3+720*x
x^3-8*x^2-48*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, 10, 0, 0, 0 ], [ 1, 0, 3, 0, 6 ], [ 0, 10, 0, 0, 0 ], [ 0, 0, 0, 0, 10 ], [ 0, 5, 0, 5, 0 ] ], 
  [ [ 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, 6, 0 ], [ 0, 0, 0, 0, 6 ], [ 0, 0, 0, 6, 0 ], [ 1, 0, 3, 0, 2 ], [ 0, 5, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 12 ], [ 0, 6, 0, 6, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 10, 0, 2, 0 ], [ 1, 0, 3, 0, 8 ] ] ]