orthogonal_complement ( S ) Lattice of degree 2 and rank 1 over Integer Ring Basis matrix: Inner product matrix: sage: L = IntegralLattice ( 2 ) sage: L. Sage: H5 = Matrix ( ZZ, 2, ) sage: L = IntegralLattice ( H5 ) sage: S = L. Currently, we can onlyĬompute the orthogonal group for positive definite lattices. They areĬontinued as the identity on the orthogonal complement of Orthogonal group of this lattice are computed. If gens is not specified, then generators of the full Then the group is placed in the category of finite groups. Is_finite – bool (default: None) If set to True, Gens – a list of matrices (default: None) Matrices with respect to the standard basis. The elements are isometries of the ambient vector space Return the orthogonal group of this lattice as a matrix group. gram_matrix () automorphisms ( gens = None, is_finite = None ) # lll () = L True sage: G = matrix ( ZZ, 3, ) sage: V = matrix ( ZZ, 3, ) sage: L = IntegralLattice ( V * G * V. Sage: L = IntegralLattice ( 'A2' ) sage: L.
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