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#include "libsingular.h"
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#define likely(x)   __builtin_expect(!!(x), 1)
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#else /* __GNUC__ > 2 ... */
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/* Type declarations */

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent.pxd":32
 * 
 *     # Called from the __init__ method to set up coercion.
 *     cdef int init_coerce(self, bint warn=*) except -1             # <<<<<<<<<<<<<<
 * 
 *     # returns whether or not there is a Morphism from S to self
 */

struct __pyx_opt_args_4sage_9structure_6parent_6Parent_init_coerce {
  int __pyx_n;
  int warn;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent.pxd":47
 *     # returns the Action by/on self on/by S
 *     # corresponding to op and self_on_left
 *     cpdef get_action(self, other, op=*, bint self_on_left=*)             # <<<<<<<<<<<<<<
 *     cpdef _get_action_(self, other, op, bint self_on_left)
 * 
 */

struct __pyx_opt_args_4sage_9structure_6parent_6Parent_get_action {
  int __pyx_n;
  PyObject *op;
  int self_on_left;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/sage_object.pxd":1
 * cdef class SageObject:             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_11sage_object_SageObject {
  PyObject_HEAD
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":12
 * import  sage_object
 * 
 * cdef class Element(sage_object.SageObject):             # <<<<<<<<<<<<<<
 *     cdef Parent _parent
 *     cdef _richcmp_c_impl(left, Element right, int op)
 */

struct __pyx_obj_4sage_9structure_7element_Element {
  struct __pyx_obj_4sage_9structure_11sage_object_SageObject __pyx_base;
  struct __pyx_vtabstruct_4sage_9structure_7element_Element *__pyx_vtab;
  struct __pyx_obj_4sage_9structure_6parent_Parent *_parent;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":27
 * 
 * 
 * cdef class ModuleElement(Element)       # forward declaration             # <<<<<<<<<<<<<<
 * 
 * cdef class RingElement(ModuleElement)   # forward declaration
 */

struct __pyx_obj_4sage_9structure_7element_ModuleElement {
  struct __pyx_obj_4sage_9structure_7element_Element __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":29
 * cdef class ModuleElement(Element)       # forward declaration
 * 
 * cdef class RingElement(ModuleElement)   # forward declaration             # <<<<<<<<<<<<<<
 * 
 * cdef class ModuleElement(Element):
 */

struct __pyx_obj_4sage_9structure_7element_RingElement {
  struct __pyx_obj_4sage_9structure_7element_ModuleElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":67
 *     cpdef RingElement _idiv_(self, RingElement right)
 * 
 * cdef class CommutativeRingElement(RingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_CommutativeRingElement {
  struct __pyx_obj_4sage_9structure_7element_RingElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial.pxd":3
 * from sage.structure.element cimport CommutativeRingElement
 * 
 * cdef class MPolynomial(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     cdef long _hash_c(self)
 */

struct __pyx_obj_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial {
  struct __pyx_obj_4sage_9structure_7element_CommutativeRingElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial_libsingular.pxd":7
 * from sage.structure.parent cimport Parent
 * 
 * cdef class MPolynomial_libsingular(MPolynomial):             # <<<<<<<<<<<<<<
 *     cdef poly *_poly
 *     cpdef _repr_short_(self)
 */

struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular {
  struct __pyx_obj_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial __pyx_base;
  polyrec *_poly;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/category_object.pxd":17
 * # from sage.structure.parent cimport class Parent
 * 
 * cdef class CategoryObject(sage_object.SageObject):             # <<<<<<<<<<<<<<
 * 
 *     cdef _generators
 */

struct __pyx_obj_4sage_9structure_15category_object_CategoryObject {
  struct __pyx_obj_4sage_9structure_11sage_object_SageObject __pyx_base;
  PyObject *_generators;
  PyObject *_category;
  PyObject *_base;
  PyObject *_cdata;
  PyObject *_names;
  PyObject *_factory_data;
  PyObject *__weakref__;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent.pxd":13
 * 
 * 
 * cdef class Parent(category_object.CategoryObject):             # <<<<<<<<<<<<<<
 * 
 *     cdef public _element_constructor
 */

struct __pyx_obj_4sage_9structure_6parent_Parent {
  struct __pyx_obj_4sage_9structure_15category_object_CategoryObject __pyx_base;
  struct __pyx_vtabstruct_4sage_9structure_6parent_Parent *__pyx_vtab;
  PyObject *_element_constructor;
  PyObject *_convert_method_name;
  int _element_init_pass_parent;
  PyObject *_initial_coerce_list;
  PyObject *_initial_action_list;
  PyObject *_initial_convert_list;
  int _coercions_used;
  PyObject *__an_element;
  PyObject *_coerce_from_list;
  PyObject *_coerce_from_hash;
  PyObject *_action_list;
  PyObject *_action_hash;
  PyObject *_convert_from_list;
  PyObject *_convert_from_hash;
  PyObject *_embedding;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_old.pxd":10
 * 
 * cimport parent
 * cdef class Parent(parent.Parent):             # <<<<<<<<<<<<<<
 * 
 *     # returns a Morphism from S to self, or None
 */

struct __pyx_obj_4sage_9structure_10parent_old_Parent {
  struct __pyx_obj_4sage_9structure_6parent_Parent __pyx_base;
  PyObject *_has_coerce_map_from;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_base.pxd":11
 * cimport parent_old
 * 
 * cdef class ParentWithBase(parent_old.Parent):             # <<<<<<<<<<<<<<
 *     pass
 */

struct __pyx_obj_4sage_9structure_11parent_base_ParentWithBase {
  struct __pyx_obj_4sage_9structure_10parent_old_Parent __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_gens.pxd":15
 * cimport parent_base
 * 
 * cdef class ParentWithGens(parent_base.ParentWithBase):             # <<<<<<<<<<<<<<
 *     cdef public object _gens
 *     cdef public object _gens_dict
 */

struct __pyx_obj_4sage_9structure_11parent_gens_ParentWithGens {
  struct __pyx_obj_4sage_9structure_11parent_base_ParentWithBase __pyx_base;
  PyObject *_gens;
  PyObject *_gens_dict;
  PyObject *_latex_names;
  PyObject *_list;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_gens.pxd":25
 *     cdef public object _generator_orders
 * 
 * cdef class ParentWithAdditiveAbelianGens(ParentWithGens):             # <<<<<<<<<<<<<<
 *     cdef public object _generator_orders
 */

struct __pyx_obj_4sage_9structure_11parent_gens_ParentWithAdditiveAbelianGens {
  struct __pyx_obj_4sage_9structure_11parent_gens_ParentWithGens __pyx_base;
  PyObject *_generator_orders;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":3
 * from sage.structure.parent_gens cimport ParentWithGens
 * 
 * cdef class Ring(ParentWithGens):             # <<<<<<<<<<<<<<
 *     cdef public object _zero_element
 *     cdef public object _one_element
 */

struct __pyx_obj_4sage_5rings_4ring_Ring {
  struct __pyx_obj_4sage_9structure_11parent_gens_ParentWithGens __pyx_base;
  PyObject *_zero_element;
  PyObject *_one_element;
  PyObject *_zero_ideal;
  PyObject *_unit_ideal;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":10
 *     cdef _an_element_c_impl(self)
 * 
 * cdef class CommutativeRing(Ring):             # <<<<<<<<<<<<<<
 *     cdef public object __fraction_field
 *     cdef public object __ideal_monoid
 */

struct __pyx_obj_4sage_5rings_4ring_CommutativeRing {
  struct __pyx_obj_4sage_5rings_4ring_Ring __pyx_base;
  PyObject *__fraction_field;
  PyObject *__ideal_monoid;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":14
 *     cdef public object __ideal_monoid
 * 
 * cdef class IntegralDomain(CommutativeRing):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_5rings_4ring_IntegralDomain {
  struct __pyx_obj_4sage_5rings_4ring_CommutativeRing __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":21
 * 
 * 
 * cdef class PrincipalIdealDomain(IntegralDomain):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_5rings_4ring_PrincipalIdealDomain {
  struct __pyx_obj_4sage_5rings_4ring_IntegralDomain __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":27
 *     pass
 * 
 * cdef class Field(PrincipalIdealDomain):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_5rings_4ring_Field {
  struct __pyx_obj_4sage_5rings_4ring_PrincipalIdealDomain __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":30
 *     pass
 * 
 * cdef class FiniteField(Field):             # <<<<<<<<<<<<<<
 *     cdef public object __multiplicative_generator
 *     cdef public object __polynomial_ring
 */

struct __pyx_obj_4sage_5rings_4ring_FiniteField {
  struct __pyx_obj_4sage_5rings_4ring_Field __pyx_base;
  PyObject *__multiplicative_generator;
  PyObject *__polynomial_ring;
  PyObject *__vector_space;
  PyObject *__interface;
  PyObject *_kwargs;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":88
 *     pass
 * 
 * cdef class AlgebraElement(RingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_AlgebraElement {
  struct __pyx_obj_4sage_9structure_7element_RingElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":113
 * 
 * 
 * cdef class Matrix(AlgebraElement):             # <<<<<<<<<<<<<<
 *     # All matrix classes must be written in Cython
 *     cdef Py_ssize_t _nrows
 */

struct __pyx_obj_4sage_9structure_7element_Matrix {
  struct __pyx_obj_4sage_9structure_7element_AlgebraElement __pyx_base;
  Py_ssize_t _nrows;
  Py_ssize_t _ncols;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":3
 * from sage.structure.sage_object cimport SageObject
 * 
 * cdef class Generators(SageObject):             # <<<<<<<<<<<<<<
 * 
 *     cdef readonly _obj
 */

struct __pyx_obj_4sage_9structure_10generators_Generators {
  struct __pyx_obj_4sage_9structure_11sage_object_SageObject __pyx_base;
  struct __pyx_vtabstruct_4sage_9structure_10generators_Generators *__pyx_vtab;
  PyObject *_obj;
  PyObject *_index_set;
  PyObject *_category;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":16
 *     cpdef list(self)
 * 
 * cdef class Generators_finite(Generators):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t _n
 * 
 */

struct __pyx_obj_4sage_9structure_10generators_Generators_finite {
  struct __pyx_obj_4sage_9structure_10generators_Generators __pyx_base;
  Py_ssize_t _n;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":19
 *     cdef Py_ssize_t _n
 * 
 * cdef class Generators_list(Generators_finite):             # <<<<<<<<<<<<<<
 *     cdef _List
 * 
 */

struct __pyx_obj_4sage_9structure_10generators_Generators_list {
  struct __pyx_obj_4sage_9structure_10generators_Generators_finite __pyx_base;
  PyObject *_List;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":82
 *     pass
 * 
 * cdef class FieldElement(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_FieldElement {
  struct __pyx_obj_4sage_9structure_7element_CommutativeRingElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":49
 *     cdef RingElement coerce_to_base_ring(self, x)
 * 
 * cdef class MonoidElement(Element):             # <<<<<<<<<<<<<<
 *     cpdef MonoidElement _mul_(self, MonoidElement right)
 * 
 */

struct __pyx_obj_4sage_9structure_7element_MonoidElement {
  struct __pyx_obj_4sage_9structure_7element_Element __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":52
 *     cpdef MonoidElement _mul_(self, MonoidElement right)
 * 
 * cdef class MultiplicativeGroupElement(MonoidElement):             # <<<<<<<<<<<<<<
 *     cpdef MultiplicativeGroupElement _div_(self, MultiplicativeGroupElement right)
 * 
 */

struct __pyx_obj_4sage_9structure_7element_MultiplicativeGroupElement {
  struct __pyx_obj_4sage_9structure_7element_MonoidElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":37
 *     cdef public object _kwargs
 * 
 * cdef class Algebra(Ring):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_5rings_4ring_Algebra {
  struct __pyx_obj_4sage_5rings_4ring_Ring __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":56
 * 
 * 
 * cdef class AdditiveGroupElement(ModuleElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_AdditiveGroupElement {
  struct __pyx_obj_4sage_9structure_7element_ModuleElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":22
 *     cdef _List
 * 
 * cdef class Generators_naturals(Generators):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_10generators_Generators_naturals {
  struct __pyx_obj_4sage_9structure_10generators_Generators __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":91
 *     pass
 * 
 * cdef class CommutativeAlgebraElement(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_CommutativeAlgebraElement {
  struct __pyx_obj_4sage_9structure_7element_CommutativeRingElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":24
 *     pass
 * 
 * cdef class EuclideanDomain(PrincipalIdealDomain):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_5rings_4ring_EuclideanDomain {
  struct __pyx_obj_4sage_5rings_4ring_PrincipalIdealDomain __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":17
 *     pass
 * 
 * cdef class DedekindDomain(IntegralDomain):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_5rings_4ring_DedekindDomain {
  struct __pyx_obj_4sage_5rings_4ring_IntegralDomain __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":101
 * 
 * 
 * cdef class Vector(ModuleElement):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t _degree
 * 
 */

struct __pyx_obj_4sage_9structure_7element_Vector {
  struct __pyx_obj_4sage_9structure_7element_ModuleElement __pyx_base;
  Py_ssize_t _degree;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":40
 *     pass
 * 
 * cdef class CommutativeAlgebra(CommutativeRing):             # <<<<<<<<<<<<<<
 *     pass
 */

struct __pyx_obj_4sage_5rings_4ring_CommutativeAlgebra {
  struct __pyx_obj_4sage_5rings_4ring_CommutativeRing __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":25
 *     pass
 * 
 * cdef class Generators_none(Generators):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_10generators_Generators_none {
  struct __pyx_obj_4sage_9structure_10generators_Generators __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":70
 *     pass
 * 
 * cdef class IntegralDomainElement(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_IntegralDomainElement {
  struct __pyx_obj_4sage_9structure_7element_CommutativeRingElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":73
 *     pass
 * 
 * cdef class DedekindDomainElement(IntegralDomainElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_DedekindDomainElement {
  struct __pyx_obj_4sage_9structure_7element_IntegralDomainElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":76
 *     pass
 * 
 * cdef class PrincipalIdealDomainElement(DedekindDomainElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_PrincipalIdealDomainElement {
  struct __pyx_obj_4sage_9structure_7element_DedekindDomainElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":79
 *     pass
 * 
 * cdef class EuclideanDomainElement(PrincipalIdealDomainElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_EuclideanDomainElement {
  struct __pyx_obj_4sage_9structure_7element_PrincipalIdealDomainElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_gens.pxd":22
 * 
 * 
 * cdef class ParentWithMultiplicativeAbelianGens(ParentWithGens):             # <<<<<<<<<<<<<<
 *     cdef public object _generator_orders
 * 
 */

struct __pyx_obj_4sage_9structure_11parent_gens_ParentWithMultiplicativeAbelianGens {
  struct __pyx_obj_4sage_9structure_11parent_gens_ParentWithGens __pyx_base;
  PyObject *_generator_orders;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial_ring_generic.pxd":6
 * from sage.structure.parent cimport Parent
 * 
 * cdef class MPolynomialRing_generic(sage.rings.ring.CommutativeRing):             # <<<<<<<<<<<<<<
 *     cdef object __ngens
 *     cdef object __term_order
 */

struct __pyx_obj_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic {
  struct __pyx_obj_4sage_5rings_4ring_CommutativeRing __pyx_base;
  PyObject *__pyx___ngens;
  PyObject *__pyx___term_order;
  PyObject *_has_singular;
  PyObject *_magma_gens;
  PyObject *_magma_cache;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":94
 *     pass
 * 
 * cdef class CommutativeAlgebra(AlgebraElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_CommutativeAlgebra {
  struct __pyx_obj_4sage_9structure_7element_AlgebraElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":28
 *     pass
 * 
 * cdef class Generators_lazy_all(Generators):             # <<<<<<<<<<<<<<
 *     cdef _f
 *     cdef int _compute_gens(self) except -1
 */

struct __pyx_obj_4sage_9structure_10generators_Generators_lazy_all {
  struct __pyx_obj_4sage_9structure_10generators_Generators __pyx_base;
  PyObject *_f;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":128
 * 
 * 
 * cdef class CoercionModel:             # <<<<<<<<<<<<<<
 *     cpdef canonical_coercion(self, x, y)
 *     cpdef bin_op(self, x, y, op)
 */

struct __pyx_obj_4sage_9structure_7element_CoercionModel {
  PyObject_HEAD
  struct __pyx_vtabstruct_4sage_9structure_7element_CoercionModel *__pyx_vtab;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":97
 *     pass
 * 
 * cdef class InfinityElement(RingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_InfinityElement {
  struct __pyx_obj_4sage_9structure_7element_RingElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":85
 *     pass
 * 
 * cdef class FiniteFieldElement(FieldElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_obj_4sage_9structure_7element_FiniteFieldElement {
  struct __pyx_obj_4sage_9structure_7element_FieldElement __pyx_base;
};

/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial_libsingular.pxd":13
 *     cpdef _homogenize(self, int var)
 * 
 * cdef class MPolynomialRing_libsingular(MPolynomialRing_generic):             # <<<<<<<<<<<<<<
 *     cdef object __singular
 *     cdef object __macaulay2
 */

struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular {
  struct __pyx_obj_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic __pyx_base;
  PyObject *__pyx___singular;
  PyObject *__pyx___macaulay2;
  PyObject *__pyx___m2_set_ring_cache;
  PyObject *__pyx___minpoly;
  ip_sring *_ring;
};


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":12
 * import  sage_object
 * 
 * cdef class Element(sage_object.SageObject):             # <<<<<<<<<<<<<<
 *     cdef Parent _parent
 *     cdef _richcmp_c_impl(left, Element right, int op)
 */

struct __pyx_vtabstruct_4sage_9structure_7element_Element {
  PyObject *(*_richcmp_c_impl)(struct __pyx_obj_4sage_9structure_7element_Element *, struct __pyx_obj_4sage_9structure_7element_Element *, int);
  int (*_cmp_c_impl)(struct __pyx_obj_4sage_9structure_7element_Element *, struct __pyx_obj_4sage_9structure_7element_Element *);
  PyObject *(*_richcmp)(struct __pyx_obj_4sage_9structure_7element_Element *, PyObject *, int);
  PyObject *(*_cmp)(struct __pyx_obj_4sage_9structure_7element_Element *, PyObject *);
  PyObject *(*_set_parent_c)(struct __pyx_obj_4sage_9structure_7element_Element *, struct __pyx_obj_4sage_9structure_6parent_Parent *);
  PyObject *(*base_extend_c)(struct __pyx_obj_4sage_9structure_7element_Element *, struct __pyx_obj_4sage_9structure_6parent_Parent *);
  PyObject *(*base_extend_c_impl)(struct __pyx_obj_4sage_9structure_7element_Element *, struct __pyx_obj_4sage_9structure_6parent_Parent *);
  PyObject *(*_rich_to_bool)(struct __pyx_obj_4sage_9structure_7element_Element *, int, int);
  PyObject *(*_act_on_)(struct __pyx_obj_4sage_9structure_7element_Element *, PyObject *, int, int __pyx_skip_dispatch);
  PyObject *(*_acted_upon_)(struct __pyx_obj_4sage_9structure_7element_Element *, PyObject *, int, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_4sage_9structure_7element_Element *__pyx_vtabptr_4sage_9structure_7element_Element;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":27
 * 
 * 
 * cdef class ModuleElement(Element)       # forward declaration             # <<<<<<<<<<<<<<
 * 
 * cdef class RingElement(ModuleElement)   # forward declaration
 */

struct __pyx_vtabstruct_4sage_9structure_7element_ModuleElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_Element __pyx_base;
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_add_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, struct __pyx_obj_4sage_9structure_7element_ModuleElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_sub_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, struct __pyx_obj_4sage_9structure_7element_ModuleElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_neg_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_lmul_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, struct __pyx_obj_4sage_9structure_7element_RingElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_rmul_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, struct __pyx_obj_4sage_9structure_7element_RingElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_iadd_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, struct __pyx_obj_4sage_9structure_7element_ModuleElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_isub_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, struct __pyx_obj_4sage_9structure_7element_ModuleElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_ModuleElement *(*_ilmul_)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, struct __pyx_obj_4sage_9structure_7element_RingElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_RingElement *(*coerce_to_base_ring)(struct __pyx_obj_4sage_9structure_7element_ModuleElement *, PyObject *);
};
static struct __pyx_vtabstruct_4sage_9structure_7element_ModuleElement *__pyx_vtabptr_4sage_9structure_7element_ModuleElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":29
 * cdef class ModuleElement(Element)       # forward declaration
 * 
 * cdef class RingElement(ModuleElement)   # forward declaration             # <<<<<<<<<<<<<<
 * 
 * cdef class ModuleElement(Element):
 */

struct __pyx_vtabstruct_4sage_9structure_7element_RingElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_ModuleElement __pyx_base;
  struct __pyx_obj_4sage_9structure_7element_RingElement *(*_mul_)(struct __pyx_obj_4sage_9structure_7element_RingElement *, struct __pyx_obj_4sage_9structure_7element_RingElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_RingElement *(*_div_)(struct __pyx_obj_4sage_9structure_7element_RingElement *, struct __pyx_obj_4sage_9structure_7element_RingElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_RingElement *(*_imul_)(struct __pyx_obj_4sage_9structure_7element_RingElement *, struct __pyx_obj_4sage_9structure_7element_RingElement *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_RingElement *(*_idiv_)(struct __pyx_obj_4sage_9structure_7element_RingElement *, struct __pyx_obj_4sage_9structure_7element_RingElement *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_4sage_9structure_7element_RingElement *__pyx_vtabptr_4sage_9structure_7element_RingElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":97
 *     pass
 * 
 * cdef class InfinityElement(RingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_InfinityElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_RingElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_InfinityElement *__pyx_vtabptr_4sage_9structure_7element_InfinityElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent.pxd":13
 * 
 * 
 * cdef class Parent(category_object.CategoryObject):             # <<<<<<<<<<<<<<
 * 
 *     cdef public _element_constructor
 */

struct __pyx_vtabstruct_4sage_9structure_6parent_Parent {
  PyObject *(*register_coercion)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*register_action)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*register_conversion)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*register_embedding)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  int (*_richcmp_helper)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int, int __pyx_skip_dispatch);
  int (*is_exact)(struct __pyx_obj_4sage_9structure_6parent_Parent *, int __pyx_skip_dispatch);
  int (*init_coerce)(struct __pyx_obj_4sage_9structure_6parent_Parent *, struct __pyx_opt_args_4sage_9structure_6parent_6Parent_init_coerce *__pyx_optional_args);
  int (*has_coerce_map_from)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*coerce_map_from)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*_coerce_map_from_)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*convert_map_from)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*_convert_map_from_)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*get_action)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_4sage_9structure_6parent_6Parent_get_action *__pyx_optional_args);
  PyObject *(*_get_action_)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, PyObject *, int, int __pyx_skip_dispatch);
  PyObject *(*coerce)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*an_element)(struct __pyx_obj_4sage_9structure_6parent_Parent *, int __pyx_skip_dispatch);
  PyObject *(*_an_element_)(struct __pyx_obj_4sage_9structure_6parent_Parent *, int __pyx_skip_dispatch);
  PyObject *(*_generic_convert_map)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*discover_coerce_map_from)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *);
  PyObject *(*discover_convert_map_from)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *);
  PyObject *(*discover_action)(struct __pyx_obj_4sage_9structure_6parent_Parent *, PyObject *, PyObject *, int);
};
static struct __pyx_vtabstruct_4sage_9structure_6parent_Parent *__pyx_vtabptr_4sage_9structure_6parent_Parent;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_old.pxd":10
 * 
 * cimport parent
 * cdef class Parent(parent.Parent):             # <<<<<<<<<<<<<<
 * 
 *     # returns a Morphism from S to self, or None
 */

struct __pyx_vtabstruct_4sage_9structure_10parent_old_Parent {
  struct __pyx_vtabstruct_4sage_9structure_6parent_Parent __pyx_base;
  PyObject *(*coerce_map_from_c)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*coerce_map_from_c_impl)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *);
  PyObject *(*get_action_c)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *, PyObject *, int, int __pyx_skip_dispatch);
  PyObject *(*get_action_c_impl)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *, PyObject *, int);
  PyObject *(*has_coerce_map_from_c)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*has_coerce_map_from_c_impl)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *);
  PyObject *(*_coerce_c)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*_coerce_c_impl)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *);
  PyObject *(*_coerce_self_c)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *);
  PyObject *(*_an_element_c_impl)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *);
  PyObject *(*_an_element_c)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, int __pyx_skip_dispatch);
  PyObject *(*_richcmp)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, PyObject *, int);
  int (*_cmp_c_impl)(struct __pyx_obj_4sage_9structure_10parent_old_Parent *, struct __pyx_obj_4sage_9structure_6parent_Parent *);
};
static struct __pyx_vtabstruct_4sage_9structure_10parent_old_Parent *__pyx_vtabptr_4sage_9structure_10parent_old_Parent;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_base.pxd":11
 * cimport parent_old
 * 
 * cdef class ParentWithBase(parent_old.Parent):             # <<<<<<<<<<<<<<
 *     pass
 */

struct __pyx_vtabstruct_4sage_9structure_11parent_base_ParentWithBase {
  struct __pyx_vtabstruct_4sage_9structure_10parent_old_Parent __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_11parent_base_ParentWithBase *__pyx_vtabptr_4sage_9structure_11parent_base_ParentWithBase;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_gens.pxd":15
 * cimport parent_base
 * 
 * cdef class ParentWithGens(parent_base.ParentWithBase):             # <<<<<<<<<<<<<<
 *     cdef public object _gens
 *     cdef public object _gens_dict
 */

struct __pyx_vtabstruct_4sage_9structure_11parent_gens_ParentWithGens {
  struct __pyx_vtabstruct_4sage_9structure_11parent_base_ParentWithBase __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_11parent_gens_ParentWithGens *__pyx_vtabptr_4sage_9structure_11parent_gens_ParentWithGens;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":3
 * from sage.structure.parent_gens cimport ParentWithGens
 * 
 * cdef class Ring(ParentWithGens):             # <<<<<<<<<<<<<<
 *     cdef public object _zero_element
 *     cdef public object _one_element
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_Ring {
  struct __pyx_vtabstruct_4sage_9structure_11parent_gens_ParentWithGens __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_Ring *__pyx_vtabptr_4sage_5rings_4ring_Ring;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":10
 *     cdef _an_element_c_impl(self)
 * 
 * cdef class CommutativeRing(Ring):             # <<<<<<<<<<<<<<
 *     cdef public object __fraction_field
 *     cdef public object __ideal_monoid
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_CommutativeRing {
  struct __pyx_vtabstruct_4sage_5rings_4ring_Ring __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_CommutativeRing *__pyx_vtabptr_4sage_5rings_4ring_CommutativeRing;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":14
 *     cdef public object __ideal_monoid
 * 
 * cdef class IntegralDomain(CommutativeRing):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_IntegralDomain {
  struct __pyx_vtabstruct_4sage_5rings_4ring_CommutativeRing __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_IntegralDomain *__pyx_vtabptr_4sage_5rings_4ring_IntegralDomain;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":67
 *     cpdef RingElement _idiv_(self, RingElement right)
 * 
 * cdef class CommutativeRingElement(RingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeRingElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_RingElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeRingElement *__pyx_vtabptr_4sage_9structure_7element_CommutativeRingElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial.pxd":3
 * from sage.structure.element cimport CommutativeRingElement
 * 
 * cdef class MPolynomial(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     cdef long _hash_c(self)
 */

struct __pyx_vtabstruct_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial {
  struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeRingElement __pyx_base;
  long (*_hash_c)(struct __pyx_obj_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial *);
};
static struct __pyx_vtabstruct_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial *__pyx_vtabptr_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial_libsingular.pxd":7
 * from sage.structure.parent cimport Parent
 * 
 * cdef class MPolynomial_libsingular(MPolynomial):             # <<<<<<<<<<<<<<
 *     cdef poly *_poly
 *     cpdef _repr_short_(self)
 */

struct __pyx_vtabstruct_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular {
  struct __pyx_vtabstruct_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial __pyx_base;
  PyObject *(*_repr_short_)(struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular *, int __pyx_skip_dispatch);
  PyObject *(*is_constant)(struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular *, int __pyx_skip_dispatch);
  PyObject *(*_homogenize)(struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular *, int, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular *__pyx_vtabptr_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":56
 * 
 * 
 * cdef class AdditiveGroupElement(ModuleElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_AdditiveGroupElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_ModuleElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_AdditiveGroupElement *__pyx_vtabptr_4sage_9structure_7element_AdditiveGroupElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":3
 * from sage.structure.sage_object cimport SageObject
 * 
 * cdef class Generators(SageObject):             # <<<<<<<<<<<<<<
 * 
 *     cdef readonly _obj
 */

struct __pyx_vtabstruct_4sage_9structure_10generators_Generators {
  PyObject *(*get_from_index)(struct __pyx_obj_4sage_9structure_10generators_Generators *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*index_set)(struct __pyx_obj_4sage_9structure_10generators_Generators *, int __pyx_skip_dispatch);
  PyObject *(*category)(struct __pyx_obj_4sage_9structure_10generators_Generators *, int __pyx_skip_dispatch);
  PyObject *(*obj)(struct __pyx_obj_4sage_9structure_10generators_Generators *, int __pyx_skip_dispatch);
  PyObject *(*count)(struct __pyx_obj_4sage_9structure_10generators_Generators *, int __pyx_skip_dispatch);
  PyObject *(*list)(struct __pyx_obj_4sage_9structure_10generators_Generators *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_4sage_9structure_10generators_Generators *__pyx_vtabptr_4sage_9structure_10generators_Generators;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":28
 *     pass
 * 
 * cdef class Generators_lazy_all(Generators):             # <<<<<<<<<<<<<<
 *     cdef _f
 *     cdef int _compute_gens(self) except -1
 */

struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_lazy_all {
  struct __pyx_vtabstruct_4sage_9structure_10generators_Generators __pyx_base;
  int (*_compute_gens)(struct __pyx_obj_4sage_9structure_10generators_Generators_lazy_all *);
};
static struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_lazy_all *__pyx_vtabptr_4sage_9structure_10generators_Generators_lazy_all;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":82
 *     pass
 * 
 * cdef class FieldElement(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_FieldElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeRingElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_FieldElement *__pyx_vtabptr_4sage_9structure_7element_FieldElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":85
 *     pass
 * 
 * cdef class FiniteFieldElement(FieldElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_FiniteFieldElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_FieldElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_FiniteFieldElement *__pyx_vtabptr_4sage_9structure_7element_FiniteFieldElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/parent_gens.pxd":22
 * 
 * 
 * cdef class ParentWithMultiplicativeAbelianGens(ParentWithGens):             # <<<<<<<<<<<<<<
 *     cdef public object _generator_orders
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_11parent_gens_ParentWithMultiplicativeAbelianGens {
  struct __pyx_vtabstruct_4sage_9structure_11parent_gens_ParentWithGens __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_11parent_gens_ParentWithMultiplicativeAbelianGens *__pyx_vtabptr_4sage_9structure_11parent_gens_ParentWithMultiplicativeAbelianGens;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":70
 *     pass
 * 
 * cdef class IntegralDomainElement(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_IntegralDomainElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeRingElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_IntegralDomainElement *__pyx_vtabptr_4sage_9structure_7element_IntegralDomainElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":73
 *     pass
 * 
 * cdef class DedekindDomainElement(IntegralDomainElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_DedekindDomainElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_IntegralDomainElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_DedekindDomainElement *__pyx_vtabptr_4sage_9structure_7element_DedekindDomainElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":76
 *     pass
 * 
 * cdef class PrincipalIdealDomainElement(DedekindDomainElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_PrincipalIdealDomainElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_DedekindDomainElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_PrincipalIdealDomainElement *__pyx_vtabptr_4sage_9structure_7element_PrincipalIdealDomainElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":91
 *     pass
 * 
 * cdef class CommutativeAlgebraElement(CommutativeRingElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeAlgebraElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeRingElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeAlgebraElement *__pyx_vtabptr_4sage_9structure_7element_CommutativeAlgebraElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":79
 *     pass
 * 
 * cdef class EuclideanDomainElement(PrincipalIdealDomainElement):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_EuclideanDomainElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_PrincipalIdealDomainElement __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_7element_EuclideanDomainElement *__pyx_vtabptr_4sage_9structure_7element_EuclideanDomainElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":49
 *     cdef RingElement coerce_to_base_ring(self, x)
 * 
 * cdef class MonoidElement(Element):             # <<<<<<<<<<<<<<
 *     cpdef MonoidElement _mul_(self, MonoidElement right)
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_MonoidElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_Element __pyx_base;
  struct __pyx_obj_4sage_9structure_7element_MonoidElement *(*_mul_)(struct __pyx_obj_4sage_9structure_7element_MonoidElement *, struct __pyx_obj_4sage_9structure_7element_MonoidElement *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_4sage_9structure_7element_MonoidElement *__pyx_vtabptr_4sage_9structure_7element_MonoidElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":52
 *     cpdef MonoidElement _mul_(self, MonoidElement right)
 * 
 * cdef class MultiplicativeGroupElement(MonoidElement):             # <<<<<<<<<<<<<<
 *     cpdef MultiplicativeGroupElement _div_(self, MultiplicativeGroupElement right)
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_MultiplicativeGroupElement {
  struct __pyx_vtabstruct_4sage_9structure_7element_MonoidElement __pyx_base;
  struct __pyx_obj_4sage_9structure_7element_MultiplicativeGroupElement *(*_div_)(struct __pyx_obj_4sage_9structure_7element_MultiplicativeGroupElement *, struct __pyx_obj_4sage_9structure_7element_MultiplicativeGroupElement *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_4sage_9structure_7element_MultiplicativeGroupElement *__pyx_vtabptr_4sage_9structure_7element_MultiplicativeGroupElement;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":21
 * 
 * 
 * cdef class PrincipalIdealDomain(IntegralDomain):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_PrincipalIdealDomain {
  struct __pyx_vtabstruct_4sage_5rings_4ring_IntegralDomain __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_PrincipalIdealDomain *__pyx_vtabptr_4sage_5rings_4ring_PrincipalIdealDomain;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":24
 *     pass
 * 
 * cdef class EuclideanDomain(PrincipalIdealDomain):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_EuclideanDomain {
  struct __pyx_vtabstruct_4sage_5rings_4ring_PrincipalIdealDomain __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_EuclideanDomain *__pyx_vtabptr_4sage_5rings_4ring_EuclideanDomain;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":25
 *     pass
 * 
 * cdef class Generators_none(Generators):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_none {
  struct __pyx_vtabstruct_4sage_9structure_10generators_Generators __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_none *__pyx_vtabptr_4sage_9structure_10generators_Generators_none;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":40
 *     pass
 * 
 * cdef class CommutativeAlgebra(CommutativeRing):             # <<<<<<<<<<<<<<
 *     pass
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_CommutativeAlgebra {
  struct __pyx_vtabstruct_4sage_5rings_4ring_CommutativeRing __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_CommutativeAlgebra *__pyx_vtabptr_4sage_5rings_4ring_CommutativeAlgebra;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":27
 *     pass
 * 
 * cdef class Field(PrincipalIdealDomain):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_Field {
  struct __pyx_vtabstruct_4sage_5rings_4ring_PrincipalIdealDomain __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_Field *__pyx_vtabptr_4sage_5rings_4ring_Field;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":30
 *     pass
 * 
 * cdef class FiniteField(Field):             # <<<<<<<<<<<<<<
 *     cdef public object __multiplicative_generator
 *     cdef public object __polynomial_ring
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_FiniteField {
  struct __pyx_vtabstruct_4sage_5rings_4ring_Field __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_4ring_FiniteField *__pyx_vtabptr_4sage_5rings_4ring_FiniteField;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":101
 * 
 * 
 * cdef class Vector(ModuleElement):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t _degree
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_7element_Vector {
  struct __pyx_vtabstruct_4sage_9structure_7element_ModuleElement __pyx_base;
  struct __pyx_obj_4sage_9structure_7element_Element *(*_dot_product_)(struct __pyx_obj_4sage_9structure_7element_Vector *, struct __pyx_obj_4sage_9structure_7element_Vector *, int __pyx_skip_dispatch);
  struct __pyx_obj_4sage_9structure_7element_Vector *(*_pairwise_product_)(struct __pyx_obj_4sage_9structure_7element_Vector *, struct __pyx_obj_4sage_9structure_7element_Vector *, int __pyx_skip_dispatch);
  int (*is_sparse_c)(struct __pyx_obj_4sage_9structure_7element_Vector *);
  int (*is_dense_c)(struct __pyx_obj_4sage_9structure_7element_Vector *);
};
static struct __pyx_vtabstruct_4sage_9structure_7element_Vector *__pyx_vtabptr_4sage_9structure_7element_Vector;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":16
 *     cpdef list(self)
 * 
 * cdef class Generators_finite(Generators):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t _n
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_finite {
  struct __pyx_vtabstruct_4sage_9structure_10generators_Generators __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_finite *__pyx_vtabptr_4sage_9structure_10generators_Generators_finite;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":19
 *     cdef Py_ssize_t _n
 * 
 * cdef class Generators_list(Generators_finite):             # <<<<<<<<<<<<<<
 *     cdef _List
 * 
 */

struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_list {
  struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_finite __pyx_base;
};
static struct __pyx_vtabstruct_4sage_9structure_10generators_Generators_list *__pyx_vtabptr_4sage_9structure_10generators_Generators_list;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":128
 * 
 * 
 * cdef class CoercionModel:             # <<<<<<<<<<<<<<
 *     cpdef canonical_coercion(self, x, y)
 *     cpdef bin_op(self, x, y, op)
 */

struct __pyx_vtabstruct_4sage_9structure_7element_CoercionModel {
  PyObject *(*canonical_coercion)(struct __pyx_obj_4sage_9structure_7element_CoercionModel *, PyObject *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*bin_op)(struct __pyx_obj_4sage_9structure_7element_CoercionModel *, PyObject *, PyObject *, PyObject *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_4sage_9structure_7element_CoercionModel *__pyx_vtabptr_4sage_9structure_7element_CoercionModel;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial_ring_generic.pxd":6
 * from sage.structure.parent cimport Parent
 * 
 * cdef class MPolynomialRing_generic(sage.rings.ring.CommutativeRing):             # <<<<<<<<<<<<<<
 *     cdef object __ngens
 *     cdef object __term_order
 */

struct __pyx_vtabstruct_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic {
  struct __pyx_vtabstruct_4sage_5rings_4ring_CommutativeRing __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic *__pyx_vtabptr_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/polynomial/multi_polynomial_libsingular.pxd":13
 *     cpdef _homogenize(self, int var)
 * 
 * cdef class MPolynomialRing_libsingular(MPolynomialRing_generic):             # <<<<<<<<<<<<<<
 *     cdef object __singular
 *     cdef object __macaulay2
 */

struct __pyx_vtabstruct_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular {
  struct __pyx_vtabstruct_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic __pyx_base;
};
static struct __pyx_vtabstruct_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular *__pyx_vtabptr_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular;


/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":37
 *     cdef public object _kwargs
 * 
 * cdef class Algebra(Ring):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_4sage_5rings_4ring_Algebra {
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/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":88
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/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":113
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struct __pyx_vtabstruct_4sage_9structure_7element_Matrix {
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/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/element.pxd":94
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struct __pyx_vtabstruct_4sage_9structure_7element_CommutativeAlgebra {
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/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/structure/generators.pxd":22
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/* "/Users/anders/math/software/sage-4.3.2/devel/sage/sage/rings/ring.pxd":17
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struct __pyx_vtabstruct_4sage_5rings_4ring_DedekindDomain {
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struct __pyx_vtabstruct_4sage_9structure_11parent_gens_ParentWithAdditiveAbelianGens {
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static PyTypeObject *__pyx_ptype_4sage_9structure_15category_object_CategoryObject = 0;
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static PyTypeObject *__pyx_ptype_4sage_9structure_6parent_Parent = 0;
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static PyTypeObject *__pyx_ptype_4sage_9structure_11parent_gens_ParentWithMultiplicativeAbelianGens = 0;
static PyTypeObject *__pyx_ptype_4sage_9structure_11parent_gens_ParentWithAdditiveAbelianGens = 0;
/* Module declarations from sage.rings.ring */

static PyTypeObject *__pyx_ptype_4sage_5rings_4ring_Ring = 0;
static PyTypeObject *__pyx_ptype_4sage_5rings_4ring_CommutativeRing = 0;
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static PyTypeObject *__pyx_ptype_4sage_9structure_7element_Element = 0;
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/* Implementation of sage_link */
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static char __pyx_k_2[] = "only polynomials over the rationals are supported for now";
static char __pyx_k_3[] = "getNumberOfVariables";
static char __pyx_k_4[] = "ring is:";
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static char __pyx_k__is_not_equal[] = "is_not_equal";
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static char __pyx_k__PolynomialRing[] = "PolynomialRing";
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static PyObject *__pyx_n_s_10;
static PyObject *__pyx_n_s_11;
static PyObject *__pyx_kp_s_2;
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static PyObject *__pyx_kp_s_5;
static PyObject *__pyx_kp_s_6;
static PyObject *__pyx_kp_s_7;
static PyObject *__pyx_kp_s_8;
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static PyObject *__pyx_n_s__NotImplementedError;
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static PyObject *__pyx_n_s__is_not_equal;
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/* "/Users/anders/eclipse-workspace/gfan/sage_link.pyx":64
 * minAssGTZ = sage.libs.singular.ff.primdec__lib.minAssGTZ
 * 
 * cdef public void minimal_associated_primes(GFanPolynomialSetList* res,             # <<<<<<<<<<<<<<
 *         GFanPolynomialRing* gf_ring,
 *         GFanPolynomialSet* ideal_generators):
 */

__PYX_EXTERN_C  void minimal_associated_primes(std::list<PolynomialSet> *__pyx_v_res, PolynomialRing *__pyx_v_gf_ring, std::list<Polynomial> *__pyx_v_ideal_generators) {
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  /* "/Users/anders/eclipse-workspace/gfan/sage_link.pyx":67
 *         GFanPolynomialRing* gf_ring,
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 * 
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  /* "/Users/anders/eclipse-workspace/gfan/sage_link.pyx":69
 *     print "called python!"
 * 
 *     if not gf_ring.getField().isRationals():             # <<<<<<<<<<<<<<
 *         raise NotImplementedError, "only polynomials over the rationals are supported for now"
 * 
 */
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    /* "/Users/anders/eclipse-workspace/gfan/sage_link.pyx":70
 * 
 *     if not gf_ring.getField().isRationals():
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 *     # create a Sage ring
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  /* "/Users/anders/eclipse-workspace/gfan/sage_link.pyx":73
 * 
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  __pyx_ptype_4sage_5rings_4ring_Algebra = __Pyx_ImportType("sage.rings.ring", "Algebra", sizeof(struct __pyx_obj_4sage_5rings_4ring_Algebra)); if (unlikely(!__pyx_ptype_4sage_5rings_4ring_Algebra)) {__pyx_filename = __pyx_f[8]; __pyx_lineno = 37; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_5rings_4ring_Algebra->tp_dict, &__pyx_vtabptr_4sage_5rings_4ring_Algebra) < 0) {__pyx_filename = __pyx_f[8]; __pyx_lineno = 37; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_5rings_4ring_CommutativeAlgebra = __Pyx_ImportType("sage.rings.ring", "CommutativeAlgebra", sizeof(struct __pyx_obj_4sage_5rings_4ring_CommutativeAlgebra)); if (unlikely(!__pyx_ptype_4sage_5rings_4ring_CommutativeAlgebra)) {__pyx_filename = __pyx_f[8]; __pyx_lineno = 40; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_5rings_4ring_CommutativeAlgebra->tp_dict, &__pyx_vtabptr_4sage_5rings_4ring_CommutativeAlgebra) < 0) {__pyx_filename = __pyx_f[8]; __pyx_lineno = 40; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_Element = __Pyx_ImportType("sage.structure.element", "Element", sizeof(struct __pyx_obj_4sage_9structure_7element_Element)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_Element)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 12; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_Element->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_Element) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 12; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_ModuleElement = __Pyx_ImportType("sage.structure.element", "ModuleElement", sizeof(struct __pyx_obj_4sage_9structure_7element_ModuleElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_ModuleElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 27; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_ModuleElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_ModuleElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 27; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_RingElement = __Pyx_ImportType("sage.structure.element", "RingElement", sizeof(struct __pyx_obj_4sage_9structure_7element_RingElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_RingElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 29; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_RingElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_RingElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 29; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_MonoidElement = __Pyx_ImportType("sage.structure.element", "MonoidElement", sizeof(struct __pyx_obj_4sage_9structure_7element_MonoidElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_MonoidElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_MonoidElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_MonoidElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_MultiplicativeGroupElement = __Pyx_ImportType("sage.structure.element", "MultiplicativeGroupElement", sizeof(struct __pyx_obj_4sage_9structure_7element_MultiplicativeGroupElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_MultiplicativeGroupElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_MultiplicativeGroupElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_MultiplicativeGroupElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_AdditiveGroupElement = __Pyx_ImportType("sage.structure.element", "AdditiveGroupElement", sizeof(struct __pyx_obj_4sage_9structure_7element_AdditiveGroupElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_AdditiveGroupElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __pyx_ptype_4sage_9structure_7element_CommutativeRingElement = __Pyx_ImportType("sage.structure.element", "CommutativeRingElement", sizeof(struct __pyx_obj_4sage_9structure_7element_CommutativeRingElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_CommutativeRingElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_CommutativeRingElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_CommutativeRingElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_IntegralDomainElement = __Pyx_ImportType("sage.structure.element", "IntegralDomainElement", sizeof(struct __pyx_obj_4sage_9structure_7element_IntegralDomainElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_IntegralDomainElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 70; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_IntegralDomainElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_IntegralDomainElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 70; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_DedekindDomainElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_DedekindDomainElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 73; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_PrincipalIdealDomainElement = __Pyx_ImportType("sage.structure.element", "PrincipalIdealDomainElement", sizeof(struct __pyx_obj_4sage_9structure_7element_PrincipalIdealDomainElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_PrincipalIdealDomainElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_PrincipalIdealDomainElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_PrincipalIdealDomainElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_EuclideanDomainElement = __Pyx_ImportType("sage.structure.element", "EuclideanDomainElement", sizeof(struct __pyx_obj_4sage_9structure_7element_EuclideanDomainElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_EuclideanDomainElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_EuclideanDomainElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_EuclideanDomainElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_FieldElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_FieldElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_FiniteFieldElement = __Pyx_ImportType("sage.structure.element", "FiniteFieldElement", sizeof(struct __pyx_obj_4sage_9structure_7element_FiniteFieldElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_FiniteFieldElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 85; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_FiniteFieldElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_FiniteFieldElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 85; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_AlgebraElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_AlgebraElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_CommutativeAlgebraElement = __Pyx_ImportType("sage.structure.element", "CommutativeAlgebraElement", sizeof(struct __pyx_obj_4sage_9structure_7element_CommutativeAlgebraElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_CommutativeAlgebraElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_CommutativeAlgebraElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_CommutativeAlgebraElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_CommutativeAlgebra = __Pyx_ImportType("sage.structure.element", "CommutativeAlgebra", sizeof(struct __pyx_obj_4sage_9structure_7element_CommutativeAlgebra)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_CommutativeAlgebra)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 94; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_CommutativeAlgebra->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_CommutativeAlgebra) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 94; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_InfinityElement = __Pyx_ImportType("sage.structure.element", "InfinityElement", sizeof(struct __pyx_obj_4sage_9structure_7element_InfinityElement)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_InfinityElement)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_InfinityElement->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_InfinityElement) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_Vector = __Pyx_ImportType("sage.structure.element", "Vector", sizeof(struct __pyx_obj_4sage_9structure_7element_Vector)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_Vector)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 101; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_Vector->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_Vector) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 101; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_Matrix = __Pyx_ImportType("sage.structure.element", "Matrix", sizeof(struct __pyx_obj_4sage_9structure_7element_Matrix)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_Matrix)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 113; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_Matrix->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_Matrix) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 113; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_9structure_7element_CoercionModel = __Pyx_ImportType("sage.structure.element", "CoercionModel", sizeof(struct __pyx_obj_4sage_9structure_7element_CoercionModel)); if (unlikely(!__pyx_ptype_4sage_9structure_7element_CoercionModel)) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 128; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_9structure_7element_CoercionModel->tp_dict, &__pyx_vtabptr_4sage_9structure_7element_CoercionModel) < 0) {__pyx_filename = __pyx_f[9]; __pyx_lineno = 128; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial = __Pyx_ImportType("sage.rings.polynomial.multi_polynomial", "MPolynomial", sizeof(struct __pyx_obj_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial)); if (unlikely(!__pyx_ptype_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial)) {__pyx_filename = __pyx_f[10]; __pyx_lineno = 3; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial->tp_dict, &__pyx_vtabptr_4sage_5rings_10polynomial_16multi_polynomial_MPolynomial) < 0) {__pyx_filename = __pyx_f[10]; __pyx_lineno = 3; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic = __Pyx_ImportType("sage.rings.polynomial.multi_polynomial_ring_generic", "MPolynomialRing_generic", sizeof(struct __pyx_obj_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic)); if (unlikely(!__pyx_ptype_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic)) {__pyx_filename = __pyx_f[11]; __pyx_lineno = 6; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic->tp_dict, &__pyx_vtabptr_4sage_5rings_10polynomial_29multi_polynomial_ring_generic_MPolynomialRing_generic) < 0) {__pyx_filename = __pyx_f[11]; __pyx_lineno = 6; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular = __Pyx_ImportType("sage.rings.polynomial.multi_polynomial_libsingular", "MPolynomial_libsingular", sizeof(struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular)); if (unlikely(!__pyx_ptype_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular)) {__pyx_filename = __pyx_f[12]; __pyx_lineno = 7; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular->tp_dict, &__pyx_vtabptr_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular) < 0) {__pyx_filename = __pyx_f[12]; __pyx_lineno = 7; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular = __Pyx_ImportType("sage.rings.polynomial.multi_polynomial_libsingular", "MPolynomialRing_libsingular", sizeof(struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular)); if (unlikely(!__pyx_ptype_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular)) {__pyx_filename = __pyx_f[12]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_GetVtable(__pyx_ptype_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular->tp_dict, &__pyx_vtabptr_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular) < 0) {__pyx_filename = __pyx_f[12]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  /*--- Function import code ---*/
  __pyx_t_1 = __Pyx_ImportModule("sage.structure.element"); if (!__pyx_t_1) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "generic_power_c", (void (**)(void))&__pyx_f_4sage_9structure_7element_generic_power_c, "PyObject *(PyObject *, PyObject *, PyObject *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  Py_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_2 = __Pyx_ImportModule("sage.rings.polynomial.multi_polynomial_libsingular"); if (!__pyx_t_2) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "new_MP", (void (**)(void))&__pyx_f_4sage_5rings_10polynomial_28multi_polynomial_libsingular_new_MP, "struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomial_libsingular *(struct __pyx_obj_4sage_5rings_10polynomial_28multi_polynomial_libsingular_MPolynomialRing_libsingular *, polyrec *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  Py_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_3 = __Pyx_ImportModule("sage.rings.polynomial.multi_polynomial_ideal_libsingular"); if (!__pyx_t_3) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_3, "singular_ideal_to_sage_sequence", (void (**)(void))&__pyx_f_4sage_5rings_10polynomial_34multi_polynomial_ideal_libsingular_singular_ideal_to_sage_sequence, "PyObject *(ip_sideal *, ip_sring *, PyObject *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_3, "sage_ideal_to_singular_ideal", (void (**)(void))&__pyx_f_4sage_5rings_10polynomial_34multi_polynomial_ideal_libsingular_sage_ideal_to_singular_ideal, "ip_sideal *(PyObject *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  Py_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  /*--- Execution code ---*/

  /* "/Users/anders/eclipse-workspace/gfan/sage_link.pyx":3
 * #import sage.all
 * 
 * print "loading module"             # <<<<<<<<<<<<<<
 * 
 * from sage.rings.polynomial.multi_polynomial_libsingular cimport \
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 * print "loading module"             # <<<<<<<<<<<<<<
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 * cdef extern from "polynomial.h":
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 * 
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 * 
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        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to short" :
                    "value too large to convert to short");
            }
            return (short)-1;
        }
        return (short)val;
    }
    return (short)__Pyx_PyInt_AsLong(x);
}

static INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
    const signed char neg_one = (signed char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed char" :
                    "value too large to convert to signed char");
            }
            return (signed char)-1;
        }
        return (signed char)val;
    }
    return (signed char)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
    const signed short neg_one = (signed short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed short" :
                    "value too large to convert to signed short");
            }
            return (signed short)-1;
        }
        return (signed short)val;
    }
    return (signed short)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
    const signed int neg_one = (signed int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed int" :
                    "value too large to convert to signed int");
            }
            return (signed int)-1;
        }
        return (signed int)val;
    }
    return (signed int)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
    const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return (unsigned long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned long");
                return (unsigned long)-1;
            }
            return PyLong_AsUnsignedLong(x);
        } else {
            return PyLong_AsLong(x);
        }
    } else {
        unsigned long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned long)-1;
        val = __Pyx_PyInt_AsUnsignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
    const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned PY_LONG_LONG");
            return (unsigned PY_LONG_LONG)-1;
        }
        return (unsigned PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned PY_LONG_LONG");
                return (unsigned PY_LONG_LONG)-1;
            }
            return PyLong_AsUnsignedLongLong(x);
        } else {
            return PyLong_AsLongLong(x);
        }
    } else {
        unsigned PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
    const long neg_one = (long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to long");
            return (long)-1;
        }
        return (long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long)-1;
            }
            return PyLong_AsUnsignedLong(x);
        } else {
            return PyLong_AsLong(x);
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long)-1;
        val = __Pyx_PyInt_AsLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
    const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to PY_LONG_LONG");
            return (PY_LONG_LONG)-1;
        }
        return (PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to PY_LONG_LONG");
                return (PY_LONG_LONG)-1;
            }
            return PyLong_AsUnsignedLongLong(x);
        } else {
            return PyLong_AsLongLong(x);
        }
    } else {
        PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
    const signed long neg_one = (signed long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed long");
            return (signed long)-1;
        }
        return (signed long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed long");
                return (signed long)-1;
            }
            return PyLong_AsUnsignedLong(x);
        } else {
            return PyLong_AsLong(x);
        }
    } else {
        signed long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed long)-1;
        val = __Pyx_PyInt_AsSignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
    const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed PY_LONG_LONG");
            return (signed PY_LONG_LONG)-1;
        }
        return (signed PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed PY_LONG_LONG");
                return (signed PY_LONG_LONG)-1;
            }
            return PyLong_AsUnsignedLongLong(x);
        } else {
            return PyLong_AsLongLong(x);
        }
    } else {
        signed PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsSignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static void __Pyx_WriteUnraisable(const char *name) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
}

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    long size)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;

    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(class_name);
    #else
    py_name = PyUnicode_FromString(class_name);
    #endif
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError, 
            "%s.%s is not a type object",
            module_name, class_name);
        goto bad;
    }
    if (((PyTypeObject *)result)->tp_basicsize != size) {
        PyErr_Format(PyExc_ValueError, 
            "%s.%s does not appear to be the correct type object",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;

    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(name);
    #else
    py_name = PyUnicode_FromString(name);
    #endif
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

static int __Pyx_GetVtable(PyObject *dict, void *vtabptr) {
    PyObject *ob = PyMapping_GetItemString(dict, (char *)"__pyx_vtable__");
    if (!ob)
        goto bad;
#if PY_VERSION_HEX < 0x03010000
    *(void **)vtabptr = PyCObject_AsVoidPtr(ob);
#else
    *(void **)vtabptr = PyCapsule_GetPointer(ob, 0);
#endif
    if (!*(void **)vtabptr)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

#ifndef __PYX_HAVE_RT_ImportFunction
#define __PYX_HAVE_RT_ImportFunction
static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
#if PY_VERSION_HEX < 0x03010000
    const char *desc, *s1, *s2;
#endif

    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, funcname);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%s does not export expected C function %s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
#if PY_VERSION_HEX < 0x03010000
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C function %s.%s has wrong signature (expected %s, got %s)",
             PyModule_GetName(module), funcname, sig, desc);
        goto bad;
    }
    tmp.p = PyCObject_AsVoidPtr(cobj);
#else
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %s.%s has wrong signature (expected %s, got %s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
#endif
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"

static void __Pyx_AddTraceback(const char *funcname) {
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    PyObject *py_globals = 0;
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;

    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(__pyx_filename);
    #else
    py_srcfile = PyUnicode_FromString(__pyx_filename);
    #endif
    if (!py_srcfile) goto bad;
    if (__pyx_clineno) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    py_code = PyCode_New(
        0,            /*int argcount,*/
        #if PY_MAJOR_VERSION >= 3
        0,            /*int kwonlyargcount,*/
        #endif
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple,  /*PyObject *consts,*/
        __pyx_empty_tuple,  /*PyObject *names,*/
        __pyx_empty_tuple,  /*PyObject *varnames,*/
        __pyx_empty_tuple,  /*PyObject *freevars,*/
        __pyx_empty_tuple,  /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        __pyx_lineno,   /*int firstlineno,*/
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    if (!py_code) goto bad;
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        py_globals,          /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = __pyx_lineno;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else  /* Python 3+ has unicode identifiers */
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        ++t;
    }
    return 0;
}

/* Type Conversion Functions */

static INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   if (x == Py_True) return 1;
   else if ((x == Py_False) | (x == Py_None)) return 0;
   else return PyObject_IsTrue(x);
}

static INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_VERSION_HEX < 0x03000000
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return Py_INCREF(x), x;
  m = Py_TYPE(x)->tp_as_number;
#if PY_VERSION_HEX < 0x03000000
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_VERSION_HEX < 0x03000000
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%s__ returned non-%s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}

static INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject* x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}

static INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}

static INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
   unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
   if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
       return (size_t)-1;
   } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
       PyErr_SetString(PyExc_OverflowError,
                       "value too large to convert to size_t");
       return (size_t)-1;
   }
   return (size_t)val;
}


#endif /* Py_PYTHON_H */