{ Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 1 1) (0 1 0 1 0 0 0 0) (0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 0 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 -1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 0 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 -1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 -1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 1 1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 1 1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 0 1 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 0 0 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 1 1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 -1 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 -1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 -1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 -1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 0 1 0 0 0) (0 0 0 1 0 0 1 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 -1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 -1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 -1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 1 0 0 0 0) (0 0 1 0 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 0 -1 -1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 -1 -1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 0 0) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 -1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 0 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 0 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 0 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 -1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 -1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 0 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 0 0) ( 0 0 0 0 1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 -1 0 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 -1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 -1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 -1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 -1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 -1 0 -1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 -1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 -1 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 0 0 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 -1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 -1 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 0 1 0 0 0 1 0) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 -1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 -1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 0 0 1 0) (0 1 0 0 0 0 0 1) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 1 0 0 1) (0 1 1 0 0 0 0 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 -1 0 1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 0 0 0 1 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 -1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 -1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 1 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 -1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 -1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 1 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 -1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 -1 1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 -1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 -1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 1 1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 -1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 -1 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 -1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 0 -1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 0 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 1 0 1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 0 1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 0 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 0 1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 -1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 -1 0 1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 -1 -1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 1 1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 0 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 -1 1 0 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 0 0 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 -1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 -1 1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 -1 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 0 0 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 0 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 1 0 -1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 -1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 1) (0 0 0 1 0 0 0 1) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 0 0 1 0 0 0) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 -1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 -1 0 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 1 1 0 0) (0 0 1 0 0 0 1 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 0 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 0 1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 0 0 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 1 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 1 1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 -1) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 0 -1 0 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 0 0 0 0 1) (0 0 0 1 0 0 1 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 0 -1 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 -1 0 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 -1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 1 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 1 0 1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 -1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 -1 -1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 0 1 1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 0 1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 -1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 1 0 0 0) (0 1 0 0 0 1 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 -1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 0 0 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 1 0 1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 1 1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 1 -1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 1 1 0) (0 1 1 0 0 0 0 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 0 0 1 0 0 1 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 1 1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 -1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 -1 -1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 -1 1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 0 0 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 1 1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 0) (0 0 0 0 0 0 1 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 -1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 1 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 0 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 1 1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 0 1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 -1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 -1 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 -1 -1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 1 -1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 1 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 0 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 -1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 -1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 -1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 -1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 1 1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 1 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 -1 1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 0 1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 -1 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 1 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 1 -1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 -1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 1 -1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 0 0 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 -1 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 -1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 1 1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 0 1 0 0 0) (0 0 1 1 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 -1 -1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 1 0 1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 -1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 1 0 0 0) (0 1 0 0 0 0 0 1) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 -1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 0 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 1 0 1) (0 0 1 0 0 0 1 0) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 -1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 0 1 0 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 -1 0 1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 1) (0 0 0 1 0 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 -1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 -1 0 1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 0 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 0 1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 -1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 1 1 0 0) (0 1 0 0 0 0 1 0) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 1 -1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 -1 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 -1 1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 -1 1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 0 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 0 0 0 0 1) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 0 0 0 1) (0 1 0 0 0 1 0 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 1 1 0) (0 1 0 0 0 0 0 1) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 -1 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 -1 -1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 -1 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 -1 -1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 0 0 0 1) (0 1 0 0 1 0 0 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 1 0 1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 0 0 0 1 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 1 1 0) (0 1 0 1 0 0 0 0) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 -1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 1 1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 1 -1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 -1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 1 1 -1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 0 0 0 0 1) (0 0 1 1 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 -1 -1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 1 1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 1 -1 1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 -1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 0 1 1 1 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 1 0 -1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 -1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 1 0 0 0 0) (0 0 1 0 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 -1 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 1 1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 1 1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 0 1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 -1 1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 1 -1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 0 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 1 0 1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 1 1) (0 1 0 0 1 0 0 0) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 0 0 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 -1 -1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 -1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 1 1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 -1 -1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 -1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 -1 1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 -1 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 -1 -1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 1 1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 -1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 0 0 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 -1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 0 0 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 1 1 0 0) (0 1 1 0 0 0 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 1 0) (0 0 0 1 0 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 -1 -1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 -1 1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 -1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 -1 0 1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 0 -1 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 -1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 -1 -1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 1 0 0 0 0 0) (0 0 0 1 1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 -1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 0 -1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 -1 0 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 1 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 -1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 -1 0 1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 0 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 -1 -1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 -1 0 -1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 0 0 1 1 1) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 1 0 1) (0 1 0 0 0 0 1 0) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 -1 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 0 1 -1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 1 1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 0 -1 1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 0 1 0 1 1) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 1 0 1 1 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 0 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 0 1 -1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 -1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 -1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 0 -1 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 -1 0 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 -1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 1 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 1 1 0 1 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 -1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 -1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 0 1 -1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 1 1) (0 1 0 1 0 0 0 0) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 -1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 0 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 0 0 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 1 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 -1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 1 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 -1 1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 -1 -1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 -1 -1 0 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 0 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 0 -1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 -1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 -1 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 0 0 1 0 0) (0 0 0 1 0 0 1 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 -1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 0 -1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 -1 0 -1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 -1 0 1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 -1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 -1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 -1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 1 -1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 -1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 -1 1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 -1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 -1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 -1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 0 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 0 0 1 1 1 0) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 1 0 -1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 -1 0 1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 0 0 0 0 1 0) (0 0 1 1 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 -1 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 1 -1 -1 1 -1) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 -1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 0 -1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 1 0 1) (0 1 1 0 0 0 0 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 0 0 1 1 0 1) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 -1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 1 -1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 1 0 0 1 1) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 -1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 -1 -1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 -1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 -1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 0 1 1 1 0 0) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 -1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 1 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 -1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 -1 0 1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 0 0 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 -1 -1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 1 -1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 1 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 1 1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 -1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 0 0 1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 -1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 0 -1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 0 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 0 1 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 -1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 1 -1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 -1 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 -1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 -1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 1 0 0) (0 0 1 0 0 1 0 0) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 0 0 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 1 0 0 0 0 0 0) (0 0 1 0 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 1 -1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 1 1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 1 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 1 -1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 0 0 0 1 1 1) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 1 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 -1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 0 0 1 0 1 1) (0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 -1 0 1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 -1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 1 0 1 1 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 -1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 1 0 0 0 0 0) (0 0 0 1 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 0 1 0 1 0 1) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 -1 0 1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 1 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 0 -1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 1 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 -1 1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 0 1 1 0 0 1) (0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 -1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 -1 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 0 1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 1 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 0 1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 0 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 0 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 -1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 1 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 -1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 0 1 0 0) (0 1 0 0 1 0 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 -1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 -1 0 -1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 -1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 0 0 0 1 0) (0 0 1 1 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 0 0 0 1 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 1 0 1) (0 1 0 1 0 0 0 0) (0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 1 0 -1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 -1 0 1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 0 1 -1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 -1 1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 -1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 0 -1 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 -1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 -1 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 0 1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 1 -1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 -1 0 1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 1 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 -1 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 1 0 0 1 0 1) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 1 0 1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 -1 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 1 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 1 -1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 -1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 -1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 1 -1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 1 0 1 0 0 1) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 0 0 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 1 1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 -1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 -1 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 -1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 -1 1 1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 0 -1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 1 -1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 1 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 1 0 0) (0 0 0 1 0 1 0 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 -1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 1 0 -1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 -1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 1 0 -1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 -1 0 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 1 1) (0 1 1 0 0 0 0 0) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 -1 1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 -1 1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 -1 1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 0 1 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 -1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 1 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 0 1 0 0) (0 1 0 0 0 0 0 1) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 1 -1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 1 -1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 0 -1 -1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 -1 -1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 1 1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 1 1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 0 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 0 0 1 0 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 1 0 0 0 0 0) (0 0 0 1 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 1 -1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 -1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 0 1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 -1 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 0 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 -1 1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 -1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 -1 0 1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 -1 1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 0 0 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 -1 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 -1 -1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 -1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 1 0 -1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 -1 1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 -1 1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 0 -1 -1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 -1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 -1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 0 -1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 -1 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 -1 0 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 1 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 -1 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 -1 0 -1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 0 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 -1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 1 1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 -1 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 1 0 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 -1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 -1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 -1 0 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 1 1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 -1 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 0 1 0) (0 0 1 0 0 1 0 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 -1 0 -1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 -1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 -1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 1 0 1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 1 -1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 0 1 0 1 0 1) (0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 0 1 0) (0 0 1 0 1 0 0 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 0 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 -1 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 1 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 -1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 0 1 0) (0 1 0 0 0 1 0 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 1 -1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 -1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 -1 -1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 1 0 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 -1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 -1 0 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 -1 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 -1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 -1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 -1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 -1 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 -1 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 1 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 1 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 -1 0 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 1 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 1 -1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 0 0 1 0 0) (0 0 0 1 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 0 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 -1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 -1 1 0 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 -1 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 0 1 0 0 0) (0 0 0 1 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 1 1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 1 1 1 0 0) (0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 -1 0 -1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 -1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 1 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 0 0 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 1 1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 -1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 0 0 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 0 -1 0 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 0 1 0) (0 0 1 0 0 0 0 1) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 -1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 1 0 0 0) (0 1 0 0 0 0 1 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 0 0 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 -1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 -1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 1 0) (0 0 0 1 0 0 1 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 0 1 1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 0 1 0 0 1 0 0) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 0 1 0) (0 1 0 0 0 0 0 1) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 0 1 0 0 0 0) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 0 1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 -1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 1 0 0 0 0 0 0) (0 0 0 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 -1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 0 0 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 -1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 -1 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 0 1 0) (0 1 0 1 0 0 0 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 1 0) (0 0 1 0 0 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 0 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 -1 1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 -1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 0 0 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 -1 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 -1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 -1 -1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 1 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 -1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 0 0 0 0 1) (0 0 0 1 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 -1 -1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 0 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 0 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 -1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 -1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 1 0 0 0 0) (0 0 0 0 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 -1 -1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 -1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 1 -1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 1 1) (0 1 0 0 0 1 0 0) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 -1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 -1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 -1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 1 0 1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 1 1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 -1 -1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 1 0) (0 0 0 0 1 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 0 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 -1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 1 1) (0 1 0 0 1 0 0 0) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 -1 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 0 0 0 1 0) (0 0 1 1 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 1 -1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 1 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 1 0 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 -1 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 0 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 0 -1 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 -1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 -1 -1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 -1 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 0 0 1 0 0 0) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 1) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 -1 0 -1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 -1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 -1 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 1 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 0 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 1 0 0 0) (0 0 1 0 0 1 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 -1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 0 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 -1 0 -1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 -1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 -1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 1 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 -1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 0 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 -1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 0 0 0 1) (0 1 0 0 0 0 1 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 -1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 1 0 -1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 -1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 1 1 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 1 1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 0 0 1 0 1 0 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 1 1 0) (0 1 1 0 0 0 0 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 -1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 1 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 1 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 1 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 1 -1 1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 0 1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 -1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 1 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 -1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 -1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 1 1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 -1 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 -1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 1 1) (0 1 0 1 0 0 0 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 -1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 -1 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 -1 -1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 0 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 0 1 0 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 1 0 0 0 0 0) (0 0 0 1 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 -1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 1 1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 1 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 -1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 -1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 -1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 -1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 0 1 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 1 0 -1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 -1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 -1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 0 0 0 0 1 0) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 -1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 1 1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 -1 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 1 0 1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 -1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 -1 -1 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 1 0 0 0) (0 0 1 0 0 0 0 1) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 -1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 -1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 -1 -1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 -1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 1 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 1 1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 -1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 0 -1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 -1 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 -1 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 -1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 0 -1 1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 -1 1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 0 1 -1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 -1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 0 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 1 -1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 -1 -1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 0 -1 1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 -1 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 -1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 -1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 0 -1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 1 1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 0 0 1) (0 0 1 0 0 1 0 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 -1 1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 -1 0 -1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 0 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 0 0 1) (0 0 1 0 1 0 0 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 0 1 0 0 1) (0 0 0 0 0 1 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 0 0 1) (0 1 0 0 0 1 0 0) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 -1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 -1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 -1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 1 0 -1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 1 0 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 0 1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 1 1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 1 0 1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 0 0 0 0 1) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 1 1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 -1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 1 1) (0 1 1 0 0 0 0 0) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 -1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 -1 0 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 -1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 -1 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 -1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 -1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 1 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 1 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 1 -1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 1 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 1 -1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 0 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 -1 -1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 1 -1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 -1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 1 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 -1 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 0 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 -1 1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 0 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 1 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 -1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 0 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 -1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 -1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 1) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 1 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 0 1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 0 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 -1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 0 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 -1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 -1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 1 -1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 -1 1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 1 0 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 1 0 1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 -1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 -1 0 1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 1 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 0 1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 0 0 1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 1 0 1 1 0 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 0 1 0 0 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 1 0 0 0 0) (0 0 0 0 1 1 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 0 0 1) (0 1 0 1 0 0 0 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 0 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 0 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 0 0 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 -1 -1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 -1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 1 0 1) (0 1 0 0 0 0 1 0) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 1 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 -1 -1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 1 1 0 0 1) (0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 -1 -1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 -1 1 -1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 1 1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 0 1 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 1 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 0 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 1 1 0) (0 1 0 0 1 0 0 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 0 1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 -1 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 0 0 0 1 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 -1 1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 0 -1 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 1 1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 -1 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 -1 0 0 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 1 1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 0 1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 -1 0 1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 0 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 1 0 1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 -1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 -1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 1 0 -1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 1 1 1 1 1) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 1 0 1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 1 0 0 1 1 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 0 0 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 -1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 -1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 -1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 1 1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 0 0 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 1 0 1 0 1 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 1 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 1 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 1 0 0 1 0 1) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 1) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 -1 1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 -1 1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 -1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 1 -1 -1 -1 1) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 -1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 -1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 1 0 1 0 0 1) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 1 1 0 1 0 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 1 1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 1 0 0 0 0) (0 0 0 0 1 0 0 1) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 -1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 -1 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 -1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 -1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 1 -1 -1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 0 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 1 0 1 0 0) (0 1 0 0 0 0 1 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 1 1 1 0 0 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 1 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 0 -1 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 0 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 -1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 -1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 -1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 1) (0 0 0 0 0 1 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 0 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 1) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 1 1 0) (0 1 0 0 0 0 0 1) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 -1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 -1 -1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 1 0 1) (0 1 1 0 0 0 0 0) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 1 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 1 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 0 1 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 -1 0 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 -1 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 -1 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 1 1 0) (0 1 0 1 0 0 0 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 -1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 0 -1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 -1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 -1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 -1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 -1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 0 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 -1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 -1 -1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 0 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 -1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 -1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 -1 -1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 -1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 -1 -1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 -1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 -1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 1 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 1 -1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 1 -1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 1 -1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 1 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 1 0 0 0 1 1) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 -1 0 0 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 -1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 -1 -1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 1 -1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 -1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 -1 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 -1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 -1 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 -1 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 -1 1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 1 1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 1 0 0 0 0 0 0) (0 0 0 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 -1 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 1 -1 1 1 -1) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 1 1 0 0 0 1) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 -1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 -1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 1 1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 -1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 0 0 0 1 1 1) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 1 0) (0 0 1 0 0 0 1 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 -1 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 0 -1 -1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 1 0 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 1 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 -1 -1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 0 1 0 1 1 0) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 1 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 -1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 0 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 -1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 0 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 -1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 0 1 0 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 1 0 0) (0 0 1 0 1 0 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 -1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 -1 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 1 -1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 -1 -1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 -1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 -1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 0 1 1 1 0) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 1 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 -1 -1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 0 1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 1) (0 0 0 0 0 1 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 0 0 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 -1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 1 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 -1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 0 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 -1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 1 0 -1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 -1 -1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 -1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 1 -1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 -1 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 -1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 -1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 1 0 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 -1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 1 0 0 1 0 1) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 0 0 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 0 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 -1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 -1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 0 1 0 0 1 1) (0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 -1 -1 0 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 -1 -1 1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 1 1 0 1 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 -1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 -1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 1 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 0 -1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 1 0 0) (0 0 1 0 0 0 0 1) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 -1 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 -1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 1 -1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 -1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 1 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 -1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 1 -1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 -1 1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 0 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 1 0 0) (0 1 0 0 0 0 0 1) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 1 -1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 -1 -1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 -1 -1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 0 0 0 1 0) (0 0 0 1 1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 1 0 0 0 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 -1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 1 0 0) (0 1 0 1 0 0 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 -1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 1 0 1 1 0) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 -1 0 1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 -1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 1 0 1 1 0 0) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 0 1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 -1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 1 1 0 1 0) (0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 -1 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 1 0 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 -1 0 -1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 1 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 1 0 0 0 0 0) (0 0 0 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 -1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 -1 0 1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 -1 -1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 0 -1 0 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 -1 0 0 0 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 0 0 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 -1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 -1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 1 0 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 1 0 -1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 1 0 1) (0 1 0 0 1 0 0 0) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 -1 0 1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 1 1 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 -1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 -1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 1 1 0 0 0 1) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 -1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 -1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 -1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 1 -1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 0 -1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 0 -1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 -1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 1 0 1 0) (0 0 1 0 0 1 0 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 -1 0 -1 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 -1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 -1 0 1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 -1 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 1 0 -1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 1 -1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 -1 -1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 1 0 0 0) (0 0 1 0 1 0 0 0) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 1 0 1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 1 1 0 1 0 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 1 -1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 1 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 1 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 0 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 0 0 1 0 0) (0 0 0 1 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 -1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 -1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 -1 1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 0 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 0 1 0 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 -1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 -1 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 -1 1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 1 1 1 0 0 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 1 -1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 1 -1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 -1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 -1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 1 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 0 1 0 0 0) (0 0 0 1 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 1 -1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 0 0 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 -1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 -1 -1 -1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 -1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 -1 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 -1 0 0 0 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 -1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 0 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 -1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 1 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 -1 1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 -1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 1 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 1 0 1) (0 1 0 1 0 0 0 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 1 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 -1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 -1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 -1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 0) (0 0 0 0 0 1 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 1 -1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 -1 1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 -1 0 1 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 1 0 0 0) (0 0 1 0 0 0 1 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 1 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 -1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 1 -1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 -1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 -1 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 1 0 1 0) (0 0 1 0 0 0 0 1) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 0 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 1) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 0 0 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 0 0 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 0 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 0 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 -1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 -1 0 1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 -1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 1 0 0) (0 0 0 1 0 1 0 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 1 0 1 0) (0 0 1 1 0 0 0 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 -1 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 -1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 0 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 -1 -1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 -1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 -1) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 1 -1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 0 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 0 1 0 0 0 1 0) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 -1 -1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 1 1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 -1 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 0 0 0 0 1) (0 0 0 1 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 1 -1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 1 1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 0 -1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 -1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 0 0 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 -1 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 0 0) (0 0 1 1 0 0 0 0) (0 0 0 0 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 0 1 1 0 1) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 -1 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 -1 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 -1 -1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 1 1) (0 0 1 0 0 1 0 0) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 -1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 0 1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 -1 -1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 1 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 0 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 1 -1 -1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 1 1 1 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 0 1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 -1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 1 1) (0 0 1 0 1 0 0 0) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 0 1 0 0 0 1) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 1 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 1 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 1 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 -1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 1 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 -1 -1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 0 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 -1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 -1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 1 -1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 0 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 1 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 1 0 1 0) (0 1 0 0 0 1 0 0) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 -1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 -1 -1 1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 -1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 0 0 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 -1 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 -1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 1 1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 0 -1 1 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 1 1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 -1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 -1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 0 0 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 0 1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 -1 1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 -1 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 0 0 0 1 0 0) (0 0 1 0 1 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 -1 0 -1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 0 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 -1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 -1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 -1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 -1 1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 -1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 0 0 1 0 0 0) (0 0 1 0 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 -1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 0 1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 0 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 0 1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 -1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 -1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 1 1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 0 0 1) (0 0 1 0 0 0 1 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 -1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 0 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 -1 1 1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 -1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 -1 0 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 -1 -1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 -1 0 -1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 -1 0 1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 0 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 1 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 -1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 1 -1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 1 0 1 0 1) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 -1 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 -1 1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 -1 0 1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 -1 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 1 -1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 0 0 1) (0 1 0 0 0 0 1 0) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 1 -1 0 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 -1 1 1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 -1) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 1 1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 0 1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 1 0 1 -1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 1 0 -1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 -1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 0 0 0 0) (0 1 0 1 1 0 0 1) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 -1 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 1 0 -1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 0 1 1) (0 0 1 1 0 0 0 0) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 0 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 1 -1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 1 1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 -1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 0 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 1 1 1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 0 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 0 1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 1 0 1 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 1 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 0 -1 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 -1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 -1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 0 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 0 -1 0 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 1 -1 -1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 -1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 -1 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 0 1 0 1 1) (0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 1 0 1 0) (0 1 0 0 0 0 0 1) (0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 0 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 0 0) ( 0 0 0 0 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 0 1 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 1 -1 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 0 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 1 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 1 1 0 1 0) (0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 -1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 -1 -1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 0 0 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 -1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 1 -1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 1 0 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 0 -1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 -1 -1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 0 -1 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 0) (0 0 0 0 0 0 1 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 -1 -1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 1 -1 1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 1 0 0 0 0) (0 0 0 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 0 -1 -1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 -1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 0 0) (0 1 0 0 0 0 0 1) (0 0 1 0 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 -1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 0 0 1 0 0) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 -1 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 -1 -1 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 -1 1 0 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 -1 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 0 0 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 1 0 0 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 -1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 1 0) (0 1 0 0 0 0 1 0) (0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 1 1) (0 1 0 0 0 1 0 0) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 -1 -1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 -1 0 -1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 1 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 1 1 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 -1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 1) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 -1 0 1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 0 0 1 1) (0 1 0 0 1 0 0 0) (0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 0 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 1 1 1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 -1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 -1 -1 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 1 1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 -1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 0 0 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 0 -1 0 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 -1 0 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 1 -1 0 -1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 1 0 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 -1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 1 -1 0 -1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 -1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 -1 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 0 1 0 0 0 1) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 1 0 0 0 0) (0 0 0 0 1 0 1 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 0 -1 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 -1 -1 -1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 1 0 0 1) (0 0 1 0 0 1 0 0) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 -1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 0 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 0 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 0 1 0 0 1 1) (0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 1 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 1 -1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 -1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 1 0 1 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 0 0 0 1 0) (0 0 0 1 0 1 0 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 1 -1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 1 0 1 0 0 1) (0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 1 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 1 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 0 1 1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 0 1 0 1 0 0 0) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 -1 0 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 -1 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 -1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 0 0 0 1 0) (0 0 0 1 1 0 0 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 1 1 1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 1 0) (0 0 0 0 1 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 -1 -1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 1 1 1 0 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 1 -1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 0 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 1 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 0 0 0 0 1) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 1 1 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 0 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 -1 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 1 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 0 1 1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 1 1 1 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 1) (0 0 0 0 1 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 1) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 0 0) ( 0 0 0 0 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 1 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 -1 1 0 -1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 -1 0 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 1 0 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 1 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 1 0 1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 1 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 -1 1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 -1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 -1 -1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 1 0 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 1 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 1 0 1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 -1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 -1 1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 1 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 1) ( 0 1 0 -1 -1 1 1 -1) ( 0 0 1 1 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 1 0 1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 1 1 1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 -1 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 0 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 0 0 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 -1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 1 0 1 1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 1 -1 1 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 0 1 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 0 0 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 -1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 -1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 1 1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 1 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 0 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 1 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 1 -1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 -1 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 -1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 -1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 1 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 0 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 1 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 1 0 1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 1 -1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 0 0 0 1 0) (0 0 0 1 0 0 0 1) (0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 1 0 0 1) (0 0 1 1 0 0 0 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 1 0 0) (0 1 1 1 0 0 0 1) (0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 0 1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 1 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 -1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 1 0 1 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 -1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 -1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 1 0 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 1 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 -1 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 0 0 0) ( 0 0 0 0 1 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 0 1 0 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 0 -1 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 -1 0 0 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 0 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 0 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 -1 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 0 0 1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 -1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 -1 0 -1 -1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 1 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 -1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 1 0 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 -1 -1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 -1 0 -1 -1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 -1 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 1 -1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 1 0 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 -1 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 1 1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 -1 0 -1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 0 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 1 1 0) (0 0 1 0 1 0 0 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 1 -1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 0 1 1 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 0 -1 1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 0 1 -1 -1 1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 -1 1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 0 1) (0 0 0 1 0 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 -1 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 1 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 -1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 0 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 -1 -1 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 1 1 1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 -1 1 1 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 1 1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 -1 -1 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 0 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 -1 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 -1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 -1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 -1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 1 0) (0 0 0 0 1 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 0 -1 1 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 -1 -1 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 -1 0 1 -1 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 -1 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 -1 -1 1 -1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 -1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 -1 -1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 0 0 0) ( 0 0 1 -1 0 1 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 1 1) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 1 1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 0 0 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 -1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 0 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 -1 1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 -1 1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 1 1 0 0 1) (0 1 0 0 0 1 0 0) (0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 1 0 1 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 -1 -1 1 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 -1 1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 1 -1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 1 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 -1 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 -1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 0 -1 -1 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 0 0 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 1 0 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 1 -1) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 1 1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 0 0 -1 1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 1 0 0 0 0 0 1) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 1 0 -1 -1 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 0 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 -1 0 1 -1 1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 1 -1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 1 0 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 1 0 -1 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 -1 1 -1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 -1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 1 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 -1 0 0) ( 0 0 1 1 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 -1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 -1 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 1 -1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 1 0 0 1 1 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 0 0) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 1 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 -1 0 -1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 1 0 1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 1 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 -1 -1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 1 0 0 1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 0 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 -1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 1 0 -1 0) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 1 1 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 -1 -1 -1 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 1 1 -1 -1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 -1 1 1 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 0 -1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 1 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 0 0) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 -1 0 0 -1 -1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 -1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 0 0 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 1 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 -1 0 0 0 1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 -1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 0 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 -1 1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 -1 1 1 -1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 -1 1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 0 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 -1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 -1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 -1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 0 -1 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 -1 -1 0 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 -1 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 1) (0 0 1 0 0 0 0 1) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 1 0 1 0 0) (0 0 1 0 0 0 1 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 1 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 0 0 -1 0 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 1 1 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 -1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 0 1 -1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 -1 1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 0 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 0 0) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 1 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 0 1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 1 0 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 0 -1 1 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 1 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 -1 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 -1 -1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 -1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 -1 0 -1 1 -1 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 1 0 1 0 0 0) (0 0 0 1 0 1 0 0) (0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 -1 0 -1 0 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 1 -1 0 0) ( 0 1 1 0 0 0 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 1 -1 1 -1 -1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 1 -1 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 0 0 -1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 1 0 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 -1 -1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 1 1 0) (0 0 1 0 0 0 0 1) (0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 -1 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 -1 1 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 0 1 0 1 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 -1 1 -1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 -1 0 0 0 0) ( 0 0 0 0 1 1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 1 0 1 1 0 0) (0 1 0 0 0 0 1 0) (0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 -1 0 0 -1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 1 0 0 -1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 1 -1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 0 0 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 1 1 -1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 -1 0 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 1 1 0 -1) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 -1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 0 0 -1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 1 -1 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 -1 1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 1 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 -1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 1 -1 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 1 -1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 1 0 0 0 1 1 0) (0 0 1 1 0 0 0 0) (0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 1 -1) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 0 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 1 0 1 -1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 0 0 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 0 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 0 -1 1 1) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 -1 0 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 -1 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 0 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 -1 -1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 1 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 1 0 -1 1 -1) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 1 -1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 -1 1 1) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 -1 0 0 0 -1 1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 1 0 0 0 -1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 -1 -1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 1 -1 0 0 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 -1 1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 -1 0 -1 1 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 -1 -1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 0 -1 1 -1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 0 -1) ( 0 1 0 -1 0 0 0 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 -1 -1) ( 0 1 0 1 0 0 0 0) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 -1 1 -1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 1 1 -1 1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 -1 -1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 1 -1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 -1 1 0 -1 1 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 -1 -1 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 -1 1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 -1 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 0 -1 0) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 -1 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 1 0 0 -1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 -1 0 0 -1) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 1 1 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 0 0) ( 0 0 0 1 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 1 1 1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 -1 0 0 -1 0 -1) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 1 1 0 0 -1 1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 -1 -1 1 1) ( 0 0 1 0 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 1 0 0 -1 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 -1 0 -1 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 -1 1 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 -1 -1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 0 -1 0 -1) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 0 0 1) ( 0 1 0 0 0 1 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 -1 0) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 1 0 0 0 0 -1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 -1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 1 0 -1 1 -1 -1) ( 0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 1 0) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 -1 1 -1 1 1) ( 0 0 1 0 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 1) ( 0 1 0 0 -1 0 0 0) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 -1 1 0 -1 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 1 1) ( 0 0 1 0 -1 0 0 0) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 1 0) ( 0 0 1 -1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 1 1 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 0 0 1 0 0 0 0) (0 0 0 0 1 0 0 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 -1 0 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 1 1) ( 0 0 0 0 1 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 1 0 0 0) ( 0 0 1 0 0 -1 0 0) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 -1 1) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 -1 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 0 -1 -1 0) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 1 0 1 -1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 1 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (0 1 0 0 0 0 1 0) (0 0 0 1 0 0 1 0) (0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 0 0 0 -1 1) ( 0 0 0 1 1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 -1 1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 0 1 0 0 0 1 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 -1 0 1 0) ( 0 0 1 -1 0 0 0 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 0 -1 0) ( 0 0 0 1 0 0 0 -1) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 1 0 1 -1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 0 0 -1 -1 1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 -1 1 0 1 1 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 1 0 1) ( 0 1 1 0 0 0 0 0) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 0 1 0 0) ( 0 0 1 1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 -1 -1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 -1 1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 -1 1 -1 -1) ( 0 1 0 -1 -1 1 -1 -1) ( 0 0 1 1 1 -1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 0 0 0) ( 0 1 0 1 1 0 0 1) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 0 0 -1) ( 0 0 0 0 0 1 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 1 0 1 -1 -1 1) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 -1 -1 -1 -1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 1 -1) ( 0 1 0 0 1 0 0 0) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 1 -1 1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 -1 0 -1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 0 0 0 0 0) ( 0 0 1 0 0 1 1 1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 0 1 1 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 1 0 0 0 1 1) (0 0 0 1 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 -1 1 0 1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 1 -1 1) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 0 0 0 1 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 0 0 1 0 0 0 1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 1 0 0 0) ( 0 0 0 1 0 -1 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 0 -1 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 0 1 0 0 0) ( 0 0 1 1 0 0 -1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 -1 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 1 1 1) ( 0 0 0 1 0 1 0 0) ( 0 0 0 0 1 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 0 0 0 0) (0 0 0 0 0 0 1 0) (0 0 0 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 0 1 1 -1 -1 -1) ( 0 0 1 0 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 0 1 -1 0 -1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 1 1 0 0 -1 0) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 0 0 0) ( 0 1 -1 0 0 0 -1 1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 -1 0 0) ( 0 1 0 1 1 -1 1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 1 0 -1 0 1 0) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 1 0 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 1 0 1 1 1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 -1 0 -1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 -1 1) ( 0 0 1 0 0 0 0 1) ( 0 0 0 0 1 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 -1 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 1 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 0 1 -1 1 1 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 -1 -1 1 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 -1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 -1 -1 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 1 0 0 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 0 0 0 1) ( 0 0 1 0 0 0 1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 1 0 -1 -1 1 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 1 -1 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 -1 0 -1 -1 -1) ( 0 0 0 0 1 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 0 1 0 0 0 -1 0 0) ( 0 0 1 0 0 1 0 0) ( 0 0 0 1 0 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 0 -1 -1 1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 -1) ( 0 1 -1 1 1 -1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: (1 0 0 0 1 0 0 0) (0 1 1 1 0 0 1 0) (0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 0 1 1 0 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 -1 0 0 -1 1 -1) ( 0 0 0 1 0 0 1 0) ( 0 0 0 0 1 0 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 -1 0) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 -1 0 1 0 0) ( 0 0 1 0 1 0 0 0) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 0 1 0 -1 -1 0) ( 0 0 1 0 0 0 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 -1 -1 0 -1 -1) ( 0 1 0 0 0 0 0 1) ( 0 0 0 0 0 1 0 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 1 0) ( 0 1 0 -1 -1 1 1 1) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 0 1 -1 0 -1 -1) ( 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 1 0 0 -1 -1) ( 0 0 0 0 1 0 1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 -1 1 -1) ( 0 1 0 0 0 -1 0 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 0 0 0 0 0) ( 0 1 0 0 0 0 0 1) ( 0 0 0 1 -1 -1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 -1 1 -1 -1 -1) ( 0 1 0 0 0 0 1 0) ( 0 0 1 0 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 1 0 -1 0 -1 1) ( 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 1 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 1 0 0 0 -1) ( 0 1 0 0 0 0 -1 0) ( 0 0 0 0 1 -1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 -1 0 0 -1 -1 0) ( 0 1 0 0 1 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 -1 -1 1 0 1) ( 0 0 1 0 0 0 0 -1) ( 0 0 0 0 0 0 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 1 0 0) ( 0 1 0 -1 -1 -1 -1 -1) ( 0 0 1 0 0 1 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 1 -1 0 0 1) ( 0 0 0 0 0 1 0 -1) ( 0 0 0 0 0 0 1 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 1 1 0) ( 0 1 -1 0 0 0 0 0) ( 0 0 0 1 0 0 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 -1 -1 -1 0 0 1 -1) ( 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 1 0 0 1 -1 0 0) ( 0 0 1 0 0 0 0 1) ( 0 0 0 1 0 0 -1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 1 1 -1 0 0 0) ( 0 1 0 0 0 0 1 0) ( 0 0 0 0 0 1 0 -1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0) ( 0 1 0 0 0 0 0 -1) ( 0 0 1 0 -1 1 1 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 0 0 0 1) ( 0 1 0 0 0 0 0 1) ( 0 0 1 -1 1 1 1 1), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 0 1 0 0 0) ( 0 1 1 0 1 1 -1 -1) ( 0 0 0 1 -1 0 0 0), Vector space of degree 8, dimension 3 over Rational Field Echelonized basis: ( 1 0 0 1 0 0 0 0)