degree:10
 order:60
[ 10, 4, 20, 25 ][ 10, 0, 2, 0, 0, 8 ]

minimal polynomial:[ x-10, x, x+10, x^2-40 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-3*x-4
x^5-440*x^3+16000*x
x^3-20*x^2-125*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, 4, 0, 5 ], [ 0, 10, 0, 0, 0 ], [ 0, 0, 0, 0, 10 ], [ 0, 2, 0, 8, 0 ] ], 
  [ [ 0, 0, 4, 0, 0 ], [ 0, 4, 0, 0, 0 ], [ 1, 0, 3, 0, 0 ], [ 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 4 ] ], 
  [ [ 0, 0, 0, 20, 0 ], [ 0, 0, 0, 0, 20 ], [ 0, 0, 0, 20, 0 ], [ 1, 0, 4, 0, 15 ], [ 0, 8, 0, 12, 0 ] ], 
  [ [ 0, 0, 0, 0, 25 ], [ 0, 5, 0, 20, 0 ], [ 0, 0, 0, 0, 25 ], [ 0, 10, 0, 15, 0 ], [ 1, 0, 4, 0, 20 ] ] ]