Quadratic Forms

• Quadratic Forms Overview
  • DiagonalQuadraticForm()
  • QuadraticForm
  • QuadraticForm__constructor()
  • is_QuadraticForm()
  • quadratic_form_from_invariants()
• Binary Quadratic Forms with Integer Coefficients
  • BinaryQF
  • BinaryQF_reduced_representatives()
• Some Extras
  • BezoutianQuadraticForm()
  • HyperbolicPlane_quadratic_form()
• Random Quadratic Forms
  • random_quadraticform()
  • random_quadraticform_with_conditions()
  • random_ternaryqf()
  • random_ternaryqf_with_conditions()
• Routines for computing special values of L-functions
  • QuadraticBernoulliNumber()
  • gamma__exact()
  • quadratic_L_function__exact()
  • quadratic_L_function__numerical()
  • zeta__exact()
• Optimised Cython code for counting congruence solutions
  • CountAllLocalTypesNaive()
  • count_modp__by_gauss_sum()
• Quadratic form extras
  • extend_to_primitive()
  • is_triangular_number()
  • least_quadratic_nonresidue()
• Genus
  • Genus()
  • GenusSymbol_global_ring
  • Genus_Symbol_p_adic_ring
  • LocalGenusSymbol()
  • M_p()
  • basis_complement()
  • canonical_2_adic_compartments()
  • canonical_2_adic_reduction()
  • canonical_2_adic_trains()
  • genera()
  • is_2_adic_genus()
  • is_GlobalGenus()
  • is_even_matrix()
  • p_adic_symbol()
  • signature_pair_of_matrix()
  • split_odd()
  • trace_diag_mod_8()
  • two_adic_symbol()
• Normal forms for \(p\)-adic quadratic and bilinear forms.
  • collect_small_blocks()
  • p_adic_normal_form()
• Solving quadratic equations
  • qfparam()
  • qfsolve()
  • solve()
• Helper code for ternary quadratic forms
  • evaluate()
  • extend()
  • primitivize()
  • pseudorandom_primitive_zero_mod_p()
  • red_mfact()
• Ternary Quadratic Form with integer coefficients
  • TernaryQF
  • find_a_ternary_qf_by_level_disc()
  • find_all_ternary_qf_by_level_disc()
• Evaluation
  • QFEvaluateMatrix()
  • QFEvaluateVector()

Indices and Tables

• Index

• Module Index

• Search Page