degree:6
 order:42
[ 6, 6, 2, 3, 12, 12 ][ 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 3 ]

minimal polynomial:
[ x-6, x-1, x, x+1, x+6, x^2-7 ]1
[ x-6, x+1 ]
[ x-2, x+1 ]
[ x-3, x, x+3 ]
[ x-12, x-1, x+2, x+6 ]
[ x-12, x-2, x, x+2, x+12, x^2-7 ]
 SITA:
[ [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 6, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 4, 0 ], [ 0, 1, 0, 0, 1, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 6 ],
      [ 0, 0, 2, 0, 0, 4, 0 ], [ 0, 2, 0, 0, 1, 0, 3 ], [ 0, 0, 2, 1, 0, 3, 0 ] ],
  [ [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 4 ], [ 1, 0, 5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 6, 0 ],
      [ 0, 2, 0, 0, 0, 0, 4 ], [ 0, 0, 0, 1, 0, 5, 0 ], [ 0, 2, 0, 0, 1, 0, 3 ] ],
  [ [ 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0, 0 ],
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 0, 0, 0, 3, 0, 0 ], [ 0, 0, 1, 0, 0, 2, 0 ], [ 0, 1, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 3, 0, 0 ],
      [ 1, 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 2 ], [ 0, 0, 1, 0, 0, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 4, 0, 0, 2, 0, 6 ], [ 0, 0, 0, 2, 0, 10, 0 ], [ 0, 0, 6, 0, 0, 6, 0 ],
      [ 0, 4, 0, 0, 0, 0, 8 ], [ 1, 0, 5, 1, 0, 5, 0 ], [ 0, 3, 0, 0, 2, 0, 7 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 4, 2, 0, 6, 0 ], [ 0, 4, 0, 0, 2, 0, 6 ], [ 0, 6, 0, 0, 0, 0, 6 ],
      [ 0, 0, 4, 0, 0, 8, 0 ], [ 0, 3, 0, 0, 2, 0, 7 ], [ 1, 0, 3, 1, 0, 7, 0 ] ] ]