degree:10
 order:24
[ 10, 1, 2, 10 ][ 10, 0, 4, 0, 0, 2 ]

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

 minimal polynomial of other basis elements:
 x^2-1
x^3-4*x
x^5-8*x^4-40*x^3+160*x^2+400*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, 4, 1, 0, 4 ], [ 0, 10, 0, 0, 0 ], [ 0, 0, 0, 0, 10 ], [ 0, 4, 0, 2, 4 ] ], 
  [ [ 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, 2, 0 ], [ 0, 0, 0, 0, 2 ], [ 0, 0, 0, 2, 0 ], [ 1, 0, 1, 0, 0 ], [ 0, 2, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 10 ], [ 0, 4, 0, 2, 4 ], [ 0, 0, 0, 0, 10 ], [ 0, 10, 0, 0, 0 ], [ 1, 4, 1, 0, 4 ] ] ]