degree:10
 order:36
[ 10, 5, 10, 10 ][ 4, 2, 3, 2, 0, 4 ]

minimal polynomial:[ x-10, x-2, x+2, x^2+x-11 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^4-3*x^3-15*x^2+19*x+30
x^3-12*x^2+12*x+80
x^5-9*x^4-25*x^3+146*x^2+84*x-440

 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, 2, 2, 2, 3 ], [ 0, 4, 2, 4, 0 ], [ 0, 2, 2, 2, 4 ], [ 0, 3, 0, 4, 3 ] ], 
  [ [ 0, 0, 5, 0, 0 ], [ 0, 2, 1, 2, 0 ], [ 1, 2, 0, 0, 2 ], [ 0, 2, 0, 1, 2 ], [ 0, 0, 1, 2, 2 ] ], 
  [ [ 0, 0, 0, 10, 0 ], [ 0, 2, 2, 2, 4 ], [ 0, 4, 0, 2, 4 ], [ 1, 2, 1, 4, 2 ], [ 0, 4, 2, 2, 2 ] ], 
  [ [ 0, 0, 0, 0, 10 ], [ 0, 3, 0, 4, 3 ], [ 0, 0, 2, 4, 4 ], [ 0, 4, 2, 2, 2 ], [ 1, 3, 2, 2, 2 ] ] ]