degree:2 order:10 [ 2, 2, 1, 2, 2 ][ 1, 0, 0, 0, 0, 1, 0, 0, 1, 1 ] minimal polynomial:[ x-2, x+2, x^2-x-1, x^2+x-1 ] Galois type:1 minimal polynomial of other basis elements: x^3-x^2-3*x+2 x^2-1 x^6-7*x^4+13*x^2-4 x^3-x^2-3*x+2 SITA: [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 2, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 2 ], [ 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 1, 1, 0 ] ], [ [ 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 2, 0 ], [ 0, 1, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1 ] ], [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ] ], [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 1, 0, 0, 1 ], [ 0, 1, 0, 1, 0, 0 ], [ 0, 0, 2, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 0, 1, 0 ] ], [ [ 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 1 ], [ 0, 2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0 ] ] ] P-polynomial Q-polynomial