degree:10
 order:42
[ 10, 1, 10, 20 ][ 10, 1, 0, 0, 0, 4 ]

minimal polynomial:[ x-10, x, x+2, x^2-6*x-26 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-1
x^5-14*x^4+2*x^3+328*x^2+520*x
x^4-14*x^3-136*x^2+320*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, 7, 1, 1, 0 ], [ 0, 10, 0, 0, 0 ], [ 0, 1, 0, 1, 8 ], [ 0, 0, 0, 4, 6 ] ], 
  [ [ 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 10, 0 ], [ 0, 1, 0, 1, 8 ], [ 0, 0, 0, 10, 0 ], [ 1, 1, 1, 7, 0 ], [ 0, 4, 0, 0, 6 ] ], 
  [ [ 0, 0, 0, 0, 20 ], [ 0, 0, 0, 8, 12 ], [ 0, 0, 0, 0, 20 ], [ 0, 8, 0, 0, 12 ], [ 1, 6, 1, 6, 6 ] ] ]