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- .gitattributes +7 -0
- phivenv/Lib/site-packages/numpy/_core/_multiarray_umath.cp39-win_amd64.pyd +3 -0
- phivenv/Lib/site-packages/numpy/_core/_simd.cp39-win_amd64.pyd +3 -0
- phivenv/Lib/site-packages/numpy/_core/lib/npymath.lib +3 -0
- phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_multiarray.cpython-39.pyc +3 -0
- phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_numeric.cpython-39.pyc +3 -0
- phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_regression.cpython-39.pyc +3 -0
- phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_ufunc.cpython-39.pyc +3 -0
- phivenv/Lib/site-packages/sympy/polys/__init__.py +130 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/__init__.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/appellseqs.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/compatibility.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/constructor.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/densearith.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/densebasic.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/densetools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/dispersion.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/distributedmodules.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/domainmatrix.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/euclidtools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/factortools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/fglmtools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/fields.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/galoistools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/groebnertools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/heuristicgcd.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/modulargcd.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/monomials.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/multivariate_resultants.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/orderings.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/orthopolys.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/partfrac.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/polyconfig.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/polyerrors.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/polyfuncs.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/polymatrix.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/polyoptions.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/polyroots.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/polyutils.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/puiseux.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/rationaltools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/ring_series.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/rings.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/rootisolation.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/rootoftools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/solvers.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/specialpolys.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/sqfreetools.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/__pycache__/subresultants_qq_zz.cpython-39.pyc +0 -0
- phivenv/Lib/site-packages/sympy/polys/agca/__init__.py +5 -0
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phivenv/Lib/site-packages/sympy/polys/__init__.py
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| 1 |
+
"""Polynomial manipulation algorithms and algebraic objects. """
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| 2 |
+
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| 3 |
+
__all__ = [
|
| 4 |
+
'Poly', 'PurePoly', 'poly_from_expr', 'parallel_poly_from_expr', 'degree',
|
| 5 |
+
'total_degree', 'degree_list', 'LC', 'LM', 'LT', 'pdiv', 'prem', 'pquo',
|
| 6 |
+
'pexquo', 'div', 'rem', 'quo', 'exquo', 'half_gcdex', 'gcdex', 'invert',
|
| 7 |
+
'subresultants', 'resultant', 'discriminant', 'cofactors', 'gcd_list',
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| 8 |
+
'gcd', 'lcm_list', 'lcm', 'terms_gcd', 'trunc', 'monic', 'content',
|
| 9 |
+
'primitive', 'compose', 'decompose', 'sturm', 'gff_list', 'gff',
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| 10 |
+
'sqf_norm', 'sqf_part', 'sqf_list', 'sqf', 'factor_list', 'factor',
|
| 11 |
+
'intervals', 'refine_root', 'count_roots', 'all_roots', 'real_roots',
|
| 12 |
+
'nroots', 'ground_roots', 'nth_power_roots_poly', 'cancel', 'reduced',
|
| 13 |
+
'groebner', 'is_zero_dimensional', 'GroebnerBasis', 'poly',
|
| 14 |
+
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| 15 |
+
'symmetrize', 'horner', 'interpolate', 'rational_interpolate', 'viete',
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| 16 |
+
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| 17 |
+
'together',
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| 18 |
+
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| 19 |
+
'BasePolynomialError', 'ExactQuotientFailed', 'PolynomialDivisionFailed',
|
| 20 |
+
'OperationNotSupported', 'HeuristicGCDFailed', 'HomomorphismFailed',
|
| 21 |
+
'IsomorphismFailed', 'ExtraneousFactors', 'EvaluationFailed',
|
| 22 |
+
'RefinementFailed', 'CoercionFailed', 'NotInvertible', 'NotReversible',
|
| 23 |
+
'NotAlgebraic', 'DomainError', 'PolynomialError', 'UnificationFailed',
|
| 24 |
+
'GeneratorsError', 'GeneratorsNeeded', 'ComputationFailed',
|
| 25 |
+
'UnivariatePolynomialError', 'MultivariatePolynomialError',
|
| 26 |
+
'PolificationFailed', 'OptionError', 'FlagError',
|
| 27 |
+
|
| 28 |
+
'minpoly', 'minimal_polynomial', 'primitive_element', 'field_isomorphism',
|
| 29 |
+
'to_number_field', 'isolate', 'round_two', 'prime_decomp',
|
| 30 |
+
'prime_valuation', 'galois_group',
|
| 31 |
+
|
| 32 |
+
'itermonomials', 'Monomial',
|
| 33 |
+
|
| 34 |
+
'lex', 'grlex', 'grevlex', 'ilex', 'igrlex', 'igrevlex',
|
| 35 |
+
|
| 36 |
+
'CRootOf', 'rootof', 'RootOf', 'ComplexRootOf', 'RootSum',
|
| 37 |
+
|
| 38 |
+
'roots',
|
| 39 |
+
|
| 40 |
+
'Domain', 'FiniteField', 'IntegerRing', 'RationalField', 'RealField',
|
| 41 |
+
'ComplexField', 'PythonFiniteField', 'GMPYFiniteField',
|
| 42 |
+
'PythonIntegerRing', 'GMPYIntegerRing', 'PythonRational',
|
| 43 |
+
'GMPYRationalField', 'AlgebraicField', 'PolynomialRing', 'FractionField',
|
| 44 |
+
'ExpressionDomain', 'FF_python', 'FF_gmpy', 'ZZ_python', 'ZZ_gmpy',
|
| 45 |
+
'QQ_python', 'QQ_gmpy', 'GF', 'FF', 'ZZ', 'QQ', 'ZZ_I', 'QQ_I', 'RR',
|
| 46 |
+
'CC', 'EX', 'EXRAW',
|
| 47 |
+
|
| 48 |
+
'construct_domain',
|
| 49 |
+
|
| 50 |
+
'swinnerton_dyer_poly', 'cyclotomic_poly', 'symmetric_poly',
|
| 51 |
+
'random_poly', 'interpolating_poly',
|
| 52 |
+
|
| 53 |
+
'jacobi_poly', 'chebyshevt_poly', 'chebyshevu_poly', 'hermite_poly',
|
| 54 |
+
'hermite_prob_poly', 'legendre_poly', 'laguerre_poly',
|
| 55 |
+
|
| 56 |
+
'bernoulli_poly', 'bernoulli_c_poly', 'genocchi_poly', 'euler_poly',
|
| 57 |
+
'andre_poly',
|
| 58 |
+
|
| 59 |
+
'apart', 'apart_list', 'assemble_partfrac_list',
|
| 60 |
+
|
| 61 |
+
'Options',
|
| 62 |
+
|
| 63 |
+
'ring', 'xring', 'vring', 'sring',
|
| 64 |
+
|
| 65 |
+
'field', 'xfield', 'vfield', 'sfield'
|
| 66 |
+
]
|
| 67 |
+
|
| 68 |
+
from .polytools import (Poly, PurePoly, poly_from_expr,
|
| 69 |
+
parallel_poly_from_expr, degree, total_degree, degree_list, LC, LM,
|
| 70 |
+
LT, pdiv, prem, pquo, pexquo, div, rem, quo, exquo, half_gcdex, gcdex,
|
| 71 |
+
invert, subresultants, resultant, discriminant, cofactors, gcd_list,
|
| 72 |
+
gcd, lcm_list, lcm, terms_gcd, trunc, monic, content, primitive,
|
| 73 |
+
compose, decompose, sturm, gff_list, gff, sqf_norm, sqf_part,
|
| 74 |
+
sqf_list, sqf, factor_list, factor, intervals, refine_root,
|
| 75 |
+
count_roots, all_roots, real_roots, nroots, ground_roots,
|
| 76 |
+
nth_power_roots_poly, cancel, reduced, groebner, is_zero_dimensional,
|
| 77 |
+
GroebnerBasis, poly)
|
| 78 |
+
|
| 79 |
+
from .polyfuncs import (symmetrize, horner, interpolate,
|
| 80 |
+
rational_interpolate, viete)
|
| 81 |
+
|
| 82 |
+
from .rationaltools import together
|
| 83 |
+
|
| 84 |
+
from .polyerrors import (BasePolynomialError, ExactQuotientFailed,
|
| 85 |
+
PolynomialDivisionFailed, OperationNotSupported, HeuristicGCDFailed,
|
| 86 |
+
HomomorphismFailed, IsomorphismFailed, ExtraneousFactors,
|
| 87 |
+
EvaluationFailed, RefinementFailed, CoercionFailed, NotInvertible,
|
| 88 |
+
NotReversible, NotAlgebraic, DomainError, PolynomialError,
|
| 89 |
+
UnificationFailed, GeneratorsError, GeneratorsNeeded,
|
| 90 |
+
ComputationFailed, UnivariatePolynomialError,
|
| 91 |
+
MultivariatePolynomialError, PolificationFailed, OptionError,
|
| 92 |
+
FlagError)
|
| 93 |
+
|
| 94 |
+
from .numberfields import (minpoly, minimal_polynomial, primitive_element,
|
| 95 |
+
field_isomorphism, to_number_field, isolate, round_two, prime_decomp,
|
| 96 |
+
prime_valuation, galois_group)
|
| 97 |
+
|
| 98 |
+
from .monomials import itermonomials, Monomial
|
| 99 |
+
|
| 100 |
+
from .orderings import lex, grlex, grevlex, ilex, igrlex, igrevlex
|
| 101 |
+
|
| 102 |
+
from .rootoftools import CRootOf, rootof, RootOf, ComplexRootOf, RootSum
|
| 103 |
+
|
| 104 |
+
from .polyroots import roots
|
| 105 |
+
|
| 106 |
+
from .domains import (Domain, FiniteField, IntegerRing, RationalField,
|
| 107 |
+
RealField, ComplexField, PythonFiniteField, GMPYFiniteField,
|
| 108 |
+
PythonIntegerRing, GMPYIntegerRing, PythonRational, GMPYRationalField,
|
| 109 |
+
AlgebraicField, PolynomialRing, FractionField, ExpressionDomain,
|
| 110 |
+
FF_python, FF_gmpy, ZZ_python, ZZ_gmpy, QQ_python, QQ_gmpy, GF, FF,
|
| 111 |
+
ZZ, QQ, ZZ_I, QQ_I, RR, CC, EX, EXRAW)
|
| 112 |
+
|
| 113 |
+
from .constructor import construct_domain
|
| 114 |
+
|
| 115 |
+
from .specialpolys import (swinnerton_dyer_poly, cyclotomic_poly,
|
| 116 |
+
symmetric_poly, random_poly, interpolating_poly)
|
| 117 |
+
|
| 118 |
+
from .orthopolys import (jacobi_poly, chebyshevt_poly, chebyshevu_poly,
|
| 119 |
+
hermite_poly, hermite_prob_poly, legendre_poly, laguerre_poly)
|
| 120 |
+
|
| 121 |
+
from .appellseqs import (bernoulli_poly, bernoulli_c_poly, genocchi_poly,
|
| 122 |
+
euler_poly, andre_poly)
|
| 123 |
+
|
| 124 |
+
from .partfrac import apart, apart_list, assemble_partfrac_list
|
| 125 |
+
|
| 126 |
+
from .polyoptions import Options
|
| 127 |
+
|
| 128 |
+
from .rings import ring, xring, vring, sring
|
| 129 |
+
|
| 130 |
+
from .fields import field, xfield, vfield, sfield
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@@ -0,0 +1,5 @@
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| 1 |
+
"""Module for algebraic geometry and commutative algebra."""
|
| 2 |
+
|
| 3 |
+
from .homomorphisms import homomorphism
|
| 4 |
+
|
| 5 |
+
__all__ = ['homomorphism']
|