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  1. .gitattributes +7 -0
  2. phivenv/Lib/site-packages/numpy/_core/_multiarray_umath.cp39-win_amd64.pyd +3 -0
  3. phivenv/Lib/site-packages/numpy/_core/_simd.cp39-win_amd64.pyd +3 -0
  4. phivenv/Lib/site-packages/numpy/_core/lib/npymath.lib +3 -0
  5. phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_multiarray.cpython-39.pyc +3 -0
  6. phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_numeric.cpython-39.pyc +3 -0
  7. phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_regression.cpython-39.pyc +3 -0
  8. phivenv/Lib/site-packages/numpy/_core/tests/__pycache__/test_ufunc.cpython-39.pyc +3 -0
  9. phivenv/Lib/site-packages/sympy/polys/__init__.py +130 -0
  10. phivenv/Lib/site-packages/sympy/polys/__pycache__/__init__.cpython-39.pyc +0 -0
  11. phivenv/Lib/site-packages/sympy/polys/__pycache__/appellseqs.cpython-39.pyc +0 -0
  12. phivenv/Lib/site-packages/sympy/polys/__pycache__/compatibility.cpython-39.pyc +0 -0
  13. phivenv/Lib/site-packages/sympy/polys/__pycache__/constructor.cpython-39.pyc +0 -0
  14. phivenv/Lib/site-packages/sympy/polys/__pycache__/densearith.cpython-39.pyc +0 -0
  15. phivenv/Lib/site-packages/sympy/polys/__pycache__/densebasic.cpython-39.pyc +0 -0
  16. phivenv/Lib/site-packages/sympy/polys/__pycache__/densetools.cpython-39.pyc +0 -0
  17. phivenv/Lib/site-packages/sympy/polys/__pycache__/dispersion.cpython-39.pyc +0 -0
  18. phivenv/Lib/site-packages/sympy/polys/__pycache__/distributedmodules.cpython-39.pyc +0 -0
  19. phivenv/Lib/site-packages/sympy/polys/__pycache__/domainmatrix.cpython-39.pyc +0 -0
  20. phivenv/Lib/site-packages/sympy/polys/__pycache__/euclidtools.cpython-39.pyc +0 -0
  21. phivenv/Lib/site-packages/sympy/polys/__pycache__/factortools.cpython-39.pyc +0 -0
  22. phivenv/Lib/site-packages/sympy/polys/__pycache__/fglmtools.cpython-39.pyc +0 -0
  23. phivenv/Lib/site-packages/sympy/polys/__pycache__/fields.cpython-39.pyc +0 -0
  24. phivenv/Lib/site-packages/sympy/polys/__pycache__/galoistools.cpython-39.pyc +0 -0
  25. phivenv/Lib/site-packages/sympy/polys/__pycache__/groebnertools.cpython-39.pyc +0 -0
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  28. phivenv/Lib/site-packages/sympy/polys/__pycache__/monomials.cpython-39.pyc +0 -0
  29. phivenv/Lib/site-packages/sympy/polys/__pycache__/multivariate_resultants.cpython-39.pyc +0 -0
  30. phivenv/Lib/site-packages/sympy/polys/__pycache__/orderings.cpython-39.pyc +0 -0
  31. phivenv/Lib/site-packages/sympy/polys/__pycache__/orthopolys.cpython-39.pyc +0 -0
  32. phivenv/Lib/site-packages/sympy/polys/__pycache__/partfrac.cpython-39.pyc +0 -0
  33. phivenv/Lib/site-packages/sympy/polys/__pycache__/polyconfig.cpython-39.pyc +0 -0
  34. phivenv/Lib/site-packages/sympy/polys/__pycache__/polyerrors.cpython-39.pyc +0 -0
  35. phivenv/Lib/site-packages/sympy/polys/__pycache__/polyfuncs.cpython-39.pyc +0 -0
  36. phivenv/Lib/site-packages/sympy/polys/__pycache__/polymatrix.cpython-39.pyc +0 -0
  37. phivenv/Lib/site-packages/sympy/polys/__pycache__/polyoptions.cpython-39.pyc +0 -0
  38. phivenv/Lib/site-packages/sympy/polys/__pycache__/polyroots.cpython-39.pyc +0 -0
  39. phivenv/Lib/site-packages/sympy/polys/__pycache__/polyutils.cpython-39.pyc +0 -0
  40. phivenv/Lib/site-packages/sympy/polys/__pycache__/puiseux.cpython-39.pyc +0 -0
  41. phivenv/Lib/site-packages/sympy/polys/__pycache__/rationaltools.cpython-39.pyc +0 -0
  42. phivenv/Lib/site-packages/sympy/polys/__pycache__/ring_series.cpython-39.pyc +0 -0
  43. phivenv/Lib/site-packages/sympy/polys/__pycache__/rings.cpython-39.pyc +0 -0
  44. phivenv/Lib/site-packages/sympy/polys/__pycache__/rootisolation.cpython-39.pyc +0 -0
  45. phivenv/Lib/site-packages/sympy/polys/__pycache__/rootoftools.cpython-39.pyc +0 -0
  46. phivenv/Lib/site-packages/sympy/polys/__pycache__/solvers.cpython-39.pyc +0 -0
  47. phivenv/Lib/site-packages/sympy/polys/__pycache__/specialpolys.cpython-39.pyc +0 -0
  48. phivenv/Lib/site-packages/sympy/polys/__pycache__/sqfreetools.cpython-39.pyc +0 -0
  49. phivenv/Lib/site-packages/sympy/polys/__pycache__/subresultants_qq_zz.cpython-39.pyc +0 -0
  50. phivenv/Lib/site-packages/sympy/polys/agca/__init__.py +5 -0
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phivenv/Lib/site-packages/sympy/polys/__init__.py ADDED
@@ -0,0 +1,130 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Polynomial manipulation algorithms and algebraic objects. """
2
+
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',
8
+ 'gcd', 'lcm_list', 'lcm', 'terms_gcd', 'trunc', 'monic', 'content',
9
+ 'primitive', 'compose', 'decompose', 'sturm', 'gff_list', 'gff',
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
+
15
+ 'symmetrize', 'horner', 'interpolate', 'rational_interpolate', 'viete',
16
+
17
+ 'together',
18
+
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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+ """Module for algebraic geometry and commutative algebra."""
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+
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+ from .homomorphisms import homomorphism
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+
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+ __all__ = ['homomorphism']