Module Expr Str ImportFrom alias alias ImportFrom alias ImportFrom alias alias ImportFrom alias alias alias ImportFrom alias alias alias ImportFrom alias ImportFrom alias ImportFrom alias alias ClassDef bases NameLoad body Expr Str Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad FunctionDef arguments args NameParam defaults body Raise NameLoad decorator_list FunctionDef arguments args NameParam defaults body Return AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam defaults body Return Call NameLoad NameLoad decorator_list FunctionDef arguments args NameParam defaults body Return Call NameLoad TupleLoad AttributeLoad AttributeLoad NameLoad attr attr AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam defaults vararg body Return Call AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args NameParam defaults body Return AttributeLoad NameLoad attr decorator_list NameLoad FunctionDef arguments args NameParam defaults vararg body Expr Str Return Call AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args NameParam defaults vararg body Return Call AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str If CompareIsNot AttributeLoad NameLoad attr NameLoad body Assign NameStore BinOpAdd Str AttributeLoad NameLoad attr orelse Assign NameStore BinOpAdd Str AttributeLoad AttributeLoad NameLoad attr attr Assign NameStore Call NameLoad NameLoad NameLoad If CompareIsNot NameLoad NameLoad body Assign NameStore Call NameLoad NameLoad NameLoad If CompareIsNot NameLoad NameLoad body Return NameLoad Raise Call NameLoad BinOpMod Str TupleLoad NameLoad Call NameLoad NameLoad NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults NameLoad body Expr Str If CompareIsNot NameLoad NameLoad body Return Call AttributeLoad NameLoad attr NameLoad NameLoad If Call AttributeLoad NameLoad attr NameLoad body Return NameLoad ImportFrom alias alias alias alias alias If Call NameLoad NameLoad NameLoad body Return Call AttributeLoad NameLoad attr NameLoad Call NameLoad If NameLoad body Assign NameStore Call NameLoad If Call NameLoad NameLoad AttributeLoad NameLoad attr body Return Call AttributeLoad NameLoad attr NameLoad NameLoad Assign NameStore Call NameLoad If Call NameLoad NameLoad AttributeLoad NameLoad attr body Return Call AttributeLoad NameLoad attr NameLoad NameLoad If Call NameLoad NameLoad NameLoad body Assign NameStore Call NameLoad keyword NameLoad Return Call AttributeLoad NameLoad attr Call NameLoad NameLoad NameLoad If Call NameLoad NameLoad NameLoad body Assign NameStore Call NameLoad keyword NameLoad Return Call AttributeLoad NameLoad attr Call NameLoad NameLoad NameLoad If Call NameLoad NameLoad NameLoad body Return Call AttributeLoad NameLoad attr NameLoad Call AttributeLoad NameLoad attr If BoolOpAnd AttributeLoad NameLoad attr Call NameLoad NameLoad Str NameLoad body Return Call AttributeLoad NameLoad attr Call AttributeLoad NameLoad attr If Call NameLoad NameLoad NameLoad body TryExcept body Return Call AttributeLoad NameLoad attr NameLoad handlers ExceptHandler type TupleLoad NameLoad NameLoad body Pass orelse If UnaryOpNot Call NameLoad NameLoad body TryExcept body Assign NameStore Call NameLoad NameLoad If Call NameLoad NameLoad NameLoad body Return Call AttributeLoad NameLoad attr NameLoad handlers ExceptHandler type TupleLoad NameLoad NameLoad body Pass Raise Call NameLoad BinOpMod Str TupleLoad NameLoad Call NameLoad NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return Call NameLoad NameLoad AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str TryExcept body Expr Call AttributeLoad NameLoad attr NameLoad handlers ExceptHandler type NameLoad body Return NameLoad Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str If AttributeLoad NameLoad attr body Return Call AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return Call AttributeLoad NameLoad attr AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str If CompareLtE Call AttributeLoad NameLoad attr Num body Return Call AttributeLoad NameLoad attr Call AttributeLoad NameLoad attr AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Return Call AttributeLoad NameLoad attr NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body If BoolOpOr BoolOpAnd AttributeLoad NameLoad attr BinOpBitAnd Call NameLoad AttributeLoad NameLoad attr Call NameLoad NameLoad BoolOpAnd AttributeLoad NameLoad attr BinOpBitAnd Call NameLoad AttributeLoad NameLoad attr Call NameLoad NameLoad body Raise Call NameLoad BinOpMod Str TupleLoad NameLoad NameLoad Call NameLoad NameLoad Return Call AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults NameLoad body Expr Str If CompareIsNot NameLoad NameLoad body Return Call AttributeLoad NameLoad attr NameLoad NameLoad If CompareEq NameLoad NameLoad body Return NameLoad If AttributeLoad NameLoad attr body Return NameLoad If AttributeLoad NameLoad attr body Return NameLoad If BoolOpOr AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Assign NameStore IfExp AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad Assign NameStore IfExp AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad Assign NameStore IfExp AttributeLoad NameLoad attr AttributeLoad NameLoad attr TupleLoad Assign NameStore IfExp AttributeLoad NameLoad attr AttributeLoad NameLoad attr TupleLoad Assign NameStore Call AttributeLoad NameLoad attr NameLoad Assign NameStore Call NameLoad NameLoad NameLoad Assign NameStore IfExp AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr If BoolOpAnd BoolOpOr BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr BoolOpOr UnaryOpNot AttributeLoad NameLoad attr UnaryOpNot AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Assign NameStore Call AttributeLoad NameLoad attr If BoolOpAnd AttributeLoad NameLoad attr BoolOpOr UnaryOpNot AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Assign NameStore AttributeLoad NameLoad attr orelse Assign NameStore AttributeLoad NameLoad attr Return Call NameLoad NameLoad NameLoad NameLoad FunctionDef arguments args NameParam NameParam NameParam defaults body Assign NameStore Call NameLoad AttributeLoad NameLoad attr AttributeLoad NameLoad attr Assign NameStore Call NameLoad AttributeLoad NameLoad attr AttributeLoad NameLoad attr Return Call NameLoad keyword NameLoad keyword NameLoad decorator_list If BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return Call NameLoad AttributeLoad NameLoad attr NameLoad NameLoad If BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return Call NameLoad AttributeLoad NameLoad attr NameLoad NameLoad If BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return Call NameLoad AttributeLoad NameLoad attr NameLoad NameLoad If BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return Call NameLoad AttributeLoad NameLoad attr NameLoad NameLoad If BoolOpOr AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return NameLoad If BoolOpOr AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return NameLoad If BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return Call AttributeLoad NameLoad attr Call AttributeLoad AttributeLoad NameLoad attr attr AttributeLoad NameLoad attr Call NameLoad AttributeLoad NameLoad attr AttributeLoad NameLoad attr orelse If AttributeLoad NameLoad attr body Return NameLoad orelse If AttributeLoad NameLoad attr body Return NameLoad If AttributeLoad NameLoad attr body Return NameLoad If AttributeLoad NameLoad attr body Return NameLoad If AttributeLoad NameLoad attr body Return NameLoad If AttributeLoad NameLoad attr body Return NameLoad If BoolOpAnd AttributeLoad NameLoad attr AttributeLoad NameLoad attr body Return Call AttributeLoad NameLoad attr Call NameLoad AttributeLoad NameLoad attr AttributeLoad NameLoad attr keyword NameLoad ImportFrom alias Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return BoolOpAnd Call NameLoad NameLoad NameLoad CompareEq AttributeLoad NameLoad attr AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return UnaryOpNot Call AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Assign NameStore ListLoad For NameStore NameLoad body If Call NameLoad NameLoad NameLoad body Expr Call AttributeLoad NameLoad attr Call AttributeLoad NameLoad attr NameLoad orelse Expr Call AttributeLoad NameLoad attr Call NameLoad NameLoad Return NameLoad decorator_list FunctionDef arguments args NameParam defaults body Expr Str Raise Call NameLoad BinOpMod Str NameLoad decorator_list FunctionDef arguments args NameParam defaults body Expr Str Raise Call NameLoad BinOpMod Str NameLoad decorator_list FunctionDef arguments args NameParam defaults body Expr Str Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str If Call NameLoad NameLoad Str body Return Call AttributeLoad NameLoad attr NameLoad orelse Return Call AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args NameParam defaults vararg kwarg body Expr Str ImportFrom alias Return Call NameLoad NameLoad NameLoad Call AttributeLoad NameLoad attr Str NameLoad decorator_list FunctionDef arguments args NameParam defaults vararg kwarg body Expr Str ImportFrom alias Return Call NameLoad NameLoad NameLoad Call AttributeLoad NameLoad attr Str NameLoad decorator_list FunctionDef arguments args NameParam defaults vararg kwarg body Expr Str ImportFrom alias Return Call NameLoad NameLoad NameLoad NameLoad decorator_list FunctionDef arguments args NameParam defaults vararg kwarg body Expr Str ImportFrom alias Return Call NameLoad NameLoad NameLoad NameLoad decorator_list FunctionDef arguments args NameParam defaults vararg body Expr Str Raise Call NameLoad BinOpMod Str NameLoad decorator_list FunctionDef arguments args NameParam defaults vararg body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return UnaryOpNot NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return CompareEq NameLoad AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return CompareGt NameLoad Num decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return CompareLt NameLoad Num decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return CompareLtE NameLoad Num decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return CompareGtE NameLoad Num decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return Call NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return UnaryOpUSub NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Return UnaryOpUAdd NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return BinOpAdd NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return BinOpSub NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return BinOpMult NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Return BinOpPow NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Assign TupleStore NameStore NameStore NameStore Call AttributeLoad NameLoad attr NameLoad NameLoad Return TupleLoad NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Assign NameStore Call AttributeLoad NameLoad attr NameLoad NameLoad Assign NameStore Call AttributeLoad NameLoad attr NameLoad NameLoad Assign NameStore Call AttributeLoad NameLoad attr NameLoad NameLoad Return TupleLoad NameLoad NameLoad NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Expr Str Raise NameLoad decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults NameLoad kwarg body Expr Str Return Call AttributeLoad Call AttributeLoad NameLoad attr NameLoad attr NameLoad NameLoad decorator_list Assign NameStore NameLoad FunctionDef arguments args NameParam NameParam defaults body Return NameLoad decorator_list FunctionDef arguments args NameParam NameParam defaults body Return AttributeLoad NameLoad attr decorator_list FunctionDef arguments args NameParam NameParam NameParam NameParam defaults NameLoad body Expr Str Return CompareEq NameLoad NameLoad decorator_list FunctionDef arguments args NameParam defaults body Expr Str Raise Call NameLoad Str decorator_list decorator_list NameLoad
N/A N/A Implementation of :class:`Domain` class.  __future__ print_function division sympy.polys.domains.domainelement DomainElement sympy.core Basic sympify sympy.core.compatibility HAS_GMPY integer_types is_sequence sympy.polys.polyerrors UnificationFailed CoercionFailed DomainError sympy.polys.orderings lex sympy.polys.polyutils _unify_gens sympy.utilities default_sort_key public Domain N/A object N/A N/A Represents an abstract domain.  N/A dtype None N/A zero None N/A one None N/A has_Ring False N/A has_Field False N/A has_assoc_Ring False N/A has_assoc_Field False N/A is_FiniteField is_FF False N/A is_IntegerRing is_ZZ False N/A is_RationalField is_QQ False N/A is_RealField is_RR False N/A is_ComplexField is_CC False N/A is_AlgebraicField is_Algebraic False N/A is_PolynomialRing is_Poly False N/A is_FractionField is_Frac False N/A is_SymbolicDomain is_EX False N/A is_Exact True N/A is_Numerical False N/A is_Simple False N/A is_Composite False N/A has_CharacteristicZero False N/A rep None N/A alias None __init__ N/A N/A self N/A N/A N/A NotImplementedError N/A __str__ N/A N/A self N/A N/A N/A N/A self rep N/A __repr__ N/A N/A self N/A N/A N/A N/A str self N/A __hash__ N/A N/A self N/A N/A N/A N/A hash N/A N/A N/A self __class__ __name__ N/A self dtype N/A new N/A N/A self N/A args N/A N/A N/A N/A self dtype args N/A tp N/A N/A self N/A N/A N/A N/A self dtype N/A property __call__ N/A N/A self N/A args N/A N/A Construct an element of ``self`` domain from ``args``.  N/A N/A N/A self new args N/A normal N/A N/A self N/A args N/A N/A N/A N/A self dtype args N/A convert_from N/A N/A self element base N/A N/A N/A Convert ``element`` to ``self.dtype`` given the base domain.  N/A N/A N/A base alias None N/A N/A method N/A from_ N/A base alias N/A N/A method N/A from_ N/A N/A base __class__ __name__ N/A _convert N/A getattr self method N/A N/A _convert None N/A N/A result N/A _convert element base N/A N/A result None N/A N/A result N/A N/A CoercionFailed N/A can't convert %s of type %s from %s to %s N/A element N/A type element base self N/A convert N/A N/A self element base N/A None N/A N/A Convert ``element`` to ``self.dtype``.  N/A N/A base None N/A N/A N/A N/A self convert_from element base N/A N/A N/A self of_type element N/A N/A element sympy.polys.domains PythonIntegerRing GMPYIntegerRing GMPYRationalField RealField ComplexField N/A N/A isinstance element integer_types N/A N/A N/A N/A self convert_from element N/A PythonIntegerRing N/A HAS_GMPY N/A N/A integers N/A GMPYIntegerRing N/A N/A isinstance element N/A integers tp N/A N/A N/A N/A self convert_from element integers N/A rationals N/A GMPYRationalField N/A N/A isinstance element N/A rationals tp N/A N/A N/A N/A self convert_from element rationals N/A N/A isinstance element float N/A N/A parent N/A RealField tol False N/A N/A N/A self convert_from N/A parent element parent N/A N/A isinstance element complex N/A N/A parent N/A ComplexField tol False N/A N/A N/A self convert_from N/A parent element parent N/A N/A isinstance element DomainElement N/A N/A N/A N/A self convert_from element N/A N/A element parent N/A N/A N/A self is_Numerical N/A getattr element is_ground False N/A N/A N/A N/A self convert N/A N/A element LC N/A N/A isinstance element Basic N/A N/A N/A N/A N/A N/A self from_sympy element N/A N/A N/A N/A TypeError ValueError N/A N/A N/A N/A N/A N/A is_sequence element N/A N/A N/A N/A element N/A sympify element N/A N/A isinstance element Basic N/A N/A N/A N/A self from_sympy element N/A N/A N/A N/A TypeError ValueError N/A N/A N/A N/A CoercionFailed N/A can't convert %s of type %s to %s N/A element N/A type element self N/A of_type N/A N/A self element N/A N/A N/A Check if ``a`` is of type ``dtype``.  N/A N/A isinstance element N/A self tp N/A __contains__ N/A N/A self a N/A N/A N/A Check if ``a`` belongs to this domain.  N/A N/A N/A N/A N/A self convert a N/A N/A N/A CoercionFailed N/A N/A False N/A True N/A to_sympy N/A N/A self a N/A N/A N/A Convert ``a`` to a SymPy object.  N/A NotImplementedError N/A from_sympy N/A N/A self a N/A N/A N/A Convert a SymPy object to ``dtype``.  N/A NotImplementedError N/A from_FF_python N/A N/A K1 a K0 N/A N/A N/A Convert ``ModularInteger(int)`` to ``dtype``.  N/A None N/A from_ZZ_python N/A N/A K1 a K0 N/A N/A N/A Convert a Python ``int`` object to ``dtype``.  N/A None N/A from_QQ_python N/A N/A K1 a K0 N/A N/A N/A Convert a Python ``Fraction`` object to ``dtype``.  N/A None N/A from_FF_gmpy N/A N/A K1 a K0 N/A N/A N/A Convert ``ModularInteger(mpz)`` to ``dtype``.  N/A None N/A from_ZZ_gmpy N/A N/A K1 a K0 N/A N/A N/A Convert a GMPY ``mpz`` object to ``dtype``.  N/A None N/A from_QQ_gmpy N/A N/A K1 a K0 N/A N/A N/A Convert a GMPY ``mpq`` object to ``dtype``.  N/A None N/A from_RealField N/A N/A K1 a K0 N/A N/A N/A Convert a real element object to ``dtype``.  N/A None N/A from_ComplexField N/A N/A K1 a K0 N/A N/A N/A Convert a complex element to ``dtype``.  N/A None N/A from_AlgebraicField N/A N/A K1 a K0 N/A N/A N/A Convert an algebraic number to ``dtype``.  N/A None N/A from_PolynomialRing N/A N/A K1 a K0 N/A N/A N/A Convert a polynomial to ``dtype``.  N/A N/A a is_ground N/A N/A N/A N/A K1 convert N/A a LC N/A K0 dom N/A from_FractionField N/A N/A K1 a K0 N/A N/A N/A Convert a rational function to ``dtype``.  N/A None N/A from_ExpressionDomain N/A N/A K1 a K0 N/A N/A N/A Convert a ``EX`` object to ``dtype``.  N/A N/A N/A K1 from_sympy N/A a ex N/A from_GlobalPolynomialRing N/A N/A K1 a K0 N/A N/A N/A Convert a polynomial to ``dtype``.  N/A N/A N/A N/A a degree 0 N/A N/A N/A N/A K1 convert N/A N/A a LC N/A K0 dom N/A from_GeneralizedPolynomialRing N/A N/A K1 a K0 N/A N/A N/A N/A N/A K1 from_FractionField a K0 N/A unify_with_symbols N/A N/A K0 K1 symbols N/A N/A N/A N/A N/A N/A K0 is_Composite N/A N/A set N/A K0 symbols N/A set symbols N/A N/A K1 is_Composite N/A N/A set N/A K1 symbols N/A set symbols N/A N/A N/A UnificationFailed N/A can't unify %s with %s, given %s generators N/A K0 K1 N/A tuple symbols N/A N/A N/A K0 unify K1 N/A unify N/A N/A K0 K1 symbols N/A None N/A N/A 
        Construct a minimal domain that contains elements of ``K0`` and ``K1``.

        Known domains (from smallest to largest):

        - ``GF(p)``
        - ``ZZ``
        - ``QQ``
        - ``RR(prec, tol)``
        - ``CC(prec, tol)``
        - ``ALG(a, b, c)``
        - ``K[x, y, z]``
        - ``K(x, y, z)``
        - ``EX``

         N/A N/A symbols None N/A N/A N/A N/A K0 unify_with_symbols K1 symbols N/A N/A K0 K1 N/A N/A K0 N/A N/A K0 is_EX N/A N/A K0 N/A N/A K1 is_EX N/A N/A K1 N/A N/A N/A K0 is_Composite N/A K1 is_Composite N/A N/A K0_ground N/A N/A K0 is_Composite N/A K0 dom K0 N/A K1_ground N/A N/A K1 is_Composite N/A K1 dom K1 N/A K0_symbols N/A N/A K0 is_Composite N/A K0 symbols N/A N/A K1_symbols N/A N/A K1 is_Composite N/A K1 symbols N/A N/A domain N/A N/A K0_ground unify K1_ground N/A symbols N/A _unify_gens K0_symbols K1_symbols N/A order N/A N/A K0 is_Composite N/A K0 order N/A K1 order N/A N/A N/A N/A N/A K0 is_FractionField N/A K1 is_PolynomialRing N/A N/A K1 is_FractionField N/A K0 is_PolynomialRing N/A N/A N/A K0_ground has_Field N/A N/A K1_ground has_Field N/A domain has_Field N/A N/A domain N/A N/A domain get_ring N/A N/A N/A K0 is_Composite N/A N/A N/A K1 is_Composite N/A K0 is_FractionField N/A K1 is_PolynomialRing N/A N/A cls N/A K0 __class__ N/A N/A cls N/A K1 __class__ N/A N/A cls domain symbols order mkinexact N/A N/A cls K0 K1 N/A N/A N/A prec N/A max N/A K0 precision N/A K1 precision N/A tol N/A max N/A K0 tolerance N/A K1 tolerance N/A N/A cls prec prec tol tol N/A N/A N/A N/A K0 is_ComplexField N/A K1 is_ComplexField N/A N/A N/A mkinexact N/A K0 __class__ K0 K1 N/A N/A N/A K0 is_ComplexField N/A K1 is_RealField N/A N/A N/A mkinexact N/A K0 __class__ K0 K1 N/A N/A N/A K0 is_RealField N/A K1 is_ComplexField N/A N/A N/A mkinexact N/A K1 __class__ K1 K0 N/A N/A N/A K0 is_RealField N/A K1 is_RealField N/A N/A N/A mkinexact N/A K0 __class__ K0 K1 N/A N/A N/A K0 is_ComplexField N/A K0 is_RealField N/A N/A K0 N/A N/A N/A K1 is_ComplexField N/A K1 is_RealField N/A N/A K1 N/A N/A N/A K0 is_AlgebraicField N/A K1 is_AlgebraicField N/A N/A N/A N/A K0 __class__ N/A N/A N/A K0 dom unify N/A K1 dom N/A _unify_gens N/A K0 orig_ext N/A K1 orig_ext N/A N/A N/A K0 is_AlgebraicField N/A N/A K0 N/A N/A N/A K1 is_AlgebraicField N/A N/A K1 N/A N/A K0 is_RationalField N/A N/A K0 N/A N/A K1 is_RationalField N/A N/A K1 N/A N/A K0 is_IntegerRing N/A N/A K0 N/A N/A K1 is_IntegerRing N/A N/A K1 N/A N/A N/A K0 is_FiniteField N/A K1 is_FiniteField N/A N/A N/A N/A K0 __class__ N/A max N/A K0 mod N/A K1 mod key default_sort_key sympy.polys.domains EX N/A EX N/A __eq__ N/A N/A self other N/A N/A N/A Returns ``True`` if two domains are equivalent.  N/A N/A N/A isinstance other Domain N/A N/A self dtype N/A other dtype N/A __ne__ N/A N/A self other N/A N/A N/A Returns ``False`` if two domains are equivalent.  N/A N/A N/A N/A self __eq__ other N/A map N/A N/A self seq N/A N/A N/A Rersively apply ``self`` to all elements of ``seq``.  N/A result N/A N/A elt seq N/A N/A N/A isinstance elt list N/A N/A N/A N/A result append N/A N/A self map elt N/A N/A N/A N/A result append N/A self elt N/A result N/A get_ring N/A N/A self N/A N/A N/A Returns a ring associated with ``self``.  N/A N/A DomainError N/A there is no ring associated with %s self N/A get_field N/A N/A self N/A N/A N/A Returns a field associated with ``self``.  N/A N/A DomainError N/A there is no field associated with %s self N/A get_exact N/A N/A self N/A N/A N/A Returns an exact domain associated with ``self``.  N/A self N/A __getitem__ N/A N/A self symbols N/A N/A N/A The mathematical way to make a polynomial ring.  N/A N/A hasattr symbols __iter__ N/A N/A N/A N/A self poly_ring symbols N/A N/A N/A N/A self poly_ring symbols N/A poly_ring N/A N/A self N/A symbols kwargs N/A N/A Returns a polynomial ring, i.e. `K[X]`.  sympy.polys.domains.polynomialring PolynomialRing N/A N/A PolynomialRing self symbols N/A N/A kwargs get order lex N/A frac_field N/A N/A self N/A symbols kwargs N/A N/A Returns a fraction field, i.e. `K(X)`.  sympy.polys.domains.fractionfield FractionField N/A N/A FractionField self symbols N/A N/A kwargs get order lex N/A old_poly_ring N/A N/A self N/A symbols kwargs N/A N/A Returns a polynomial ring, i.e. `K[X]`.  sympy.polys.domains.old_polynomialring PolynomialRing N/A N/A PolynomialRing self symbols kwargs N/A old_frac_field N/A N/A self N/A symbols kwargs N/A N/A Returns a fraction field, i.e. `K(X)`.  sympy.polys.domains.old_fractionfield FractionField N/A N/A FractionField self symbols kwargs N/A algebraic_field N/A N/A self N/A extension N/A N/A Returns an algebraic field, i.e. `K(\alpha, \dots)`.  N/A N/A DomainError N/A can't create algebraic field over %s self N/A inject N/A N/A self N/A symbols N/A N/A Inject generators into this domain.  N/A NotImplementedError N/A is_zero N/A N/A self a N/A N/A N/A Returns True if ``a`` is zero.  N/A N/A a N/A is_one N/A N/A self a N/A N/A N/A Returns True if ``a`` is one.  N/A N/A a N/A self one N/A is_positive N/A N/A self a N/A N/A N/A Returns True if ``a`` is positive.  N/A N/A a 0 N/A is_negative N/A N/A self a N/A N/A N/A Returns True if ``a`` is negative.  N/A N/A a 0 N/A is_nonpositive N/A N/A self a N/A N/A N/A Returns True if ``a`` is non-positive.  N/A N/A a 0 N/A is_nonnegative N/A N/A self a N/A N/A N/A Returns True if ``a`` is non-negative.  N/A N/A a 0 N/A abs N/A N/A self a N/A N/A N/A Absolute value of ``a``, implies ``__abs__``.  N/A N/A abs a N/A neg N/A N/A self a N/A N/A N/A Returns ``a`` negated, implies ``__neg__``.  N/A N/A a N/A pos N/A N/A self a N/A N/A N/A Returns ``a`` positive, implies ``__pos__``.  N/A N/A a N/A add N/A N/A self a b N/A N/A N/A Sum of ``a`` and ``b``, implies ``__add__``.   N/A N/A a b N/A sub N/A N/A self a b N/A N/A N/A Difference of ``a`` and ``b``, implies ``__sub__``.   N/A N/A a b N/A mul N/A N/A self a b N/A N/A N/A Product of ``a`` and ``b``, implies ``__mul__``.   N/A N/A a b N/A pow N/A N/A self a b N/A N/A N/A Raise ``a`` to power ``b``, implies ``__pow__``.   N/A N/A a b N/A exquo N/A N/A self a b N/A N/A N/A Exact quotient of ``a`` and ``b``, implies something.  N/A NotImplementedError N/A quo N/A N/A self a b N/A N/A N/A Quotient of ``a`` and ``b``, implies something.   N/A NotImplementedError N/A rem N/A N/A self a b N/A N/A N/A Remainder of ``a`` and ``b``, implies ``__mod__``.   N/A NotImplementedError N/A div N/A N/A self a b N/A N/A N/A Division of ``a`` and ``b``, implies something.  N/A NotImplementedError N/A invert N/A N/A self a b N/A N/A N/A Returns inversion of ``a mod b``, implies something.  N/A NotImplementedError N/A revert N/A N/A self a N/A N/A N/A Returns ``a**(-1)`` if possible.  N/A NotImplementedError N/A numer N/A N/A self a N/A N/A N/A Returns numerator of ``a``.  N/A NotImplementedError N/A denom N/A N/A self a N/A N/A N/A Returns denominator of ``a``.  N/A NotImplementedError N/A half_gcdex N/A N/A self a b N/A N/A N/A Half extended GCD of ``a`` and ``b``.  N/A N/A s t h N/A N/A self gcdex a b N/A N/A s h N/A gcdex N/A N/A self a b N/A N/A N/A Extended GCD of ``a`` and ``b``.  N/A NotImplementedError N/A cofactors N/A N/A self a b N/A N/A N/A Returns GCD and cofactors of ``a`` and ``b``.  N/A gcd N/A N/A self gcd a b N/A cfa N/A N/A self quo a gcd N/A cfb N/A N/A self quo b gcd N/A N/A gcd cfa cfb N/A gcd N/A N/A self a b N/A N/A N/A Returns GCD of ``a`` and ``b``.  N/A NotImplementedError N/A lcm N/A N/A self a b N/A N/A N/A Returns LCM of ``a`` and ``b``.  N/A NotImplementedError N/A log N/A N/A self a b N/A N/A N/A Returns b-base logarithm of ``a``.  N/A NotImplementedError N/A sqrt N/A N/A self a N/A N/A N/A Returns square root of ``a``.  N/A NotImplementedError N/A evalf N/A N/A self a prec N/A None options N/A N/A Returns numerical approximation of ``a``.  N/A N/A N/A N/A N/A self to_sympy a evalf prec options N/A N/A n evalf real N/A N/A self a N/A N/A N/A a N/A imag N/A N/A self a N/A N/A N/A N/A self zero N/A almosteq N/A N/A self a b tolerance N/A None N/A N/A Check if ``a`` and ``b`` are almost equal.  N/A N/A a b N/A characteristic N/A N/A self N/A N/A N/A Return the characteristic of this domain.  N/A N/A NotImplementedError characteristic() N/A N/A public