Package sage :: Package algebras :: Module quaternion_algebra :: Class QuaternionAlgebra_faster
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Class QuaternionAlgebra_faster

source code

                      object --+                                
                               |                                
structure.sage_object.SageObject --+                            
                                   |                            
             structure.parent.Parent --+                        
                                       |                        
    structure.parent_base.ParentWithBase --+                    
                                           |                    
        structure.parent_gens.ParentWithGens --+                
                                               |                
                                 rings.ring.Ring --+            
                                                   |            
                                  rings.ring.Algebra --+        
                                                       |        
                                              object --+        
                                                       |        
               free_algebra_quotient.FreeAlgebraQuotient --+    
                                                           |    
                                   QuaternionAlgebra_generic --+
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                                                              QuaternionAlgebra_faster

Instance Methods [hide private]
 
__call__(self, x) source code

Inherited from QuaternionAlgebra_generic: __init__, __repr__, basis, discriminant, gen, gram_matrix, inner_product_matrix, is_commutative, is_division_algebra, is_exact, is_field, is_finite, is_integral_domain, is_noetherian, order, ramified_primes, random_element, vector_space

Inherited from free_algebra_quotient.FreeAlgebraQuotient: __contains__, __eq__, _repr_, dimension, free_algebra, matrix_action, module, monoid, monomial_basis, ngens, rank

Inherited from rings.ring.Algebra: __new__, characteristic

Inherited from rings.ring.Ring: __getitem__, __hash__, __iter__, __len__, __mul__, __rmul__, __rxor__, __xor__, _ideal_class_, base_extend, category, ideal, is_atomic_repr, is_prime_field, is_ring, is_subring, one_element, principal_ideal, unit_ideal, zero_element, zero_ideal, zeta, zeta_order

Inherited from rings.ring.Ring (private): _r_action

Inherited from structure.parent_gens.ParentWithGens: __getslice__, __getstate__, __setstate__, _is_valid_homomorphism_, gens, gens_dict, hom, inject_variables, injvar, latex_name, latex_variable_names, list, objgen, objgens, variable_name, variable_names

Inherited from structure.parent_base.ParentWithBase: Hom, base, base_extend_canonical, base_extend_canonical_sym, base_extend_recursive, base_ring

Inherited from structure.parent.Parent: _coerce_, coerce_map_from, coerce_map_from_impl, construction, get_action, get_action_impl, has_coerce_map_from, has_coerce_map_from_impl, init_coerce

Inherited from structure.sage_object.SageObject: _axiom_, _axiom_init_, _gap_, _gap_init_, _gp_, _gp_init_, _interface_, _interface_init_, _interface_is_cached_, _kash_, _kash_init_, _macaulay2_, _macaulay2_init_, _magma_, _magma_init_, _maple_, _maple_init_, _mathematica_, _mathematica_init_, _maxima_, _maxima_init_, _octave_, _octave_init_, _pari_, _pari_init_, _r_init_, _sage_, _singular_, _singular_init_, db, dump, dumps, plot, rename, reset_name, save, version

Inherited from object: __delattr__, __getattribute__, __reduce__, __reduce_ex__, __setattr__, __str__

Properties [hide private]

Inherited from structure.parent.Parent (private): _has_coerce_map_from

Inherited from object: __class__

Method Details [hide private]

__call__(self, x)
(Call operator)

source code 
Overrides: QuaternionAlgebra_generic.__call__