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Formatted doctests
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‎src/sage/matroids/chow_ring_ideal.py‎

Lines changed: 45 additions & 44 deletions
Original file line numberDiff line numberDiff line change
@@ -131,27 +131,27 @@ def _gens_constructor(self, poly_ring):
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sage: ch = matroids.catalog.NonFano().chow_ring(QQ, False)
133133
sage: sorted(ch.defining_ideal()._gens_constructor(ch.defining_ideal().ring()))
134-
[Aa*Ab, Aa*Ac, Aa*Ae, Aa*Ad, Aa*Ade, Aa*Abcd, Aa*Af, Aa*Adf,
135-
Aa*Aef, Aa*Ag, Aa*Abeg, Aa*Acfg, Ab*Ac, Ab*Ae, Ab*Aace, Ab*Ad,
136-
Ab*Ade, Ab*Af, Ab*Adf, Ab*Aef, Ab*Ag, Ab*Aadg, Ab*Acfg, Ac*Ae,
137-
Ac*Ad, Ac*Ade, Ac*Af, Ac*Aabf, Ac*Adf, Ac*Aef, Ac*Ag, Ac*Aadg,
138-
Ac*Abeg, Ad*Ae, Ae*Abcd, Ae*Af, Ae*Aabf, Ae*Adf, Ae*Ag, Ae*Aadg,
139-
Ae*Acfg, Ad*Aace, Aace*Ade, Aace*Abcd, Af*Aace, Aabf*Aace,
140-
Aace*Adf, Aace*Aef, Ag*Aace, Aace*Aadg, Aace*Abeg, Aace*Acfg,
141-
Ad*Af, Ad*Aabf, Ad*Aef, Ad*Ag, Ad*Abeg, Ad*Acfg, Abcd*Ade, Af*Ade,
142-
Aabf*Ade, Ade*Adf, Ade*Aef, Ag*Ade, Aadg*Ade, Abeg*Ade, Acfg*Ade,
143-
Af*Abcd, Aabf*Abcd, Abcd*Adf, Abcd*Aef, Ag*Abcd, Aadg*Abcd,
144-
Abcd*Abeg, Abcd*Acfg, Af*Ag, Af*Aadg, Af*Abeg, Aabf*Adf, Aabf*Aef,
145-
Ag*Aabf, Aabf*Aadg, Aabf*Abeg, Aabf*Acfg, Adf*Aef, Ag*Adf,
146-
Aadg*Adf, Abeg*Adf, Acfg*Adf, Ag*Aef, Aadg*Aef, Abeg*Aef,
147-
Acfg*Aef, Aadg*Abeg, Aadg*Acfg, Abeg*Acfg,
148-
Aa + Aabf + Aace + Aadg + Aabcdefg,
149-
Ab + Aabf + Abcd + Abeg + Aabcdefg,
150-
Ac + Aace + Abcd + Acfg + Aabcdefg,
151-
Ad + Aadg + Abcd + Ade + Adf + Aabcdefg,
152-
Ae + Aace + Abeg + Ade + Aef + Aabcdefg,
134+
[Ag + Aadg + Abeg + Acfg + Aabcdefg,
153135
Af + Aabf + Acfg + Adf + Aef + Aabcdefg,
154-
Ag + Aadg + Abeg + Acfg + Aabcdefg]
136+
Ae + Aace + Abeg + Ade + Aef + Aabcdefg,
137+
Ad + Aadg + Abcd + Ade + Adf + Aabcdefg,
138+
Ac + Aace + Abcd + Acfg + Aabcdefg,
139+
Ab + Aabf + Abcd + Abeg + Aabcdefg,
140+
Aa + Aabf + Aace + Aadg + Aabcdefg,
141+
Adf*Aef, Ade*Aef, Acfg*Aef, Abeg*Aef, Abcd*Aef, Aadg*Aef,
142+
Aace*Aef, Aabf*Aef, Ag*Aef, Ad*Aef, Ac*Aef, Ab*Aef, Aa*Aef,
143+
Ade*Adf, Acfg*Adf, Abeg*Adf, Abcd*Adf, Aadg*Adf, Aace*Adf,
144+
Aabf*Adf, Ag*Adf, Ae*Adf, Ac*Adf, Ab*Adf, Aa*Adf, Acfg*Ade,
145+
Abeg*Ade, Abcd*Ade, Aadg*Ade, Aace*Ade, Aabf*Ade, Ag*Ade, Af*Ade,
146+
Ac*Ade, Ab*Ade, Aa*Ade, Abeg*Acfg, Abcd*Acfg, Aadg*Acfg,
147+
Aace*Acfg, Aabf*Acfg, Ae*Acfg, Ad*Acfg, Ab*Acfg, Aa*Acfg,
148+
Abcd*Abeg, Aadg*Abeg, Aace*Abeg, Aabf*Abeg, Af*Abeg, Ad*Abeg,
149+
Ac*Abeg, Aa*Abeg, Aadg*Abcd, Aace*Abcd, Aabf*Abcd, Ag*Abcd,
150+
Af*Abcd, Ae*Abcd, Aa*Abcd, Aace*Aadg, Aabf*Aadg, Af*Aadg, Ae*Aadg,
151+
Ac*Aadg, Ab*Aadg, Aabf*Aace, Ag*Aace, Af*Aace, Ad*Aace, Ab*Aace,
152+
Ag*Aabf, Ae*Aabf, Ad*Aabf, Ac*Aabf, Af*Ag, Ae*Ag, Ad*Ag, Ac*Ag,
153+
Ab*Ag, Aa*Ag, Ae*Af, Ad*Af, Ac*Af, Ab*Af, Aa*Af, Ad*Ae, Ac*Ae,
154+
Ab*Ae, Aa*Ae, Ac*Ad, Ab*Ad, Aa*Ad, Ab*Ac, Aa*Ac, Aa*Ab]
155155
"""
156156
flats = list(self._flats_generator)
157157
lattice_flats = Poset((flats, lambda x, y: x <= y))
@@ -413,33 +413,34 @@ def _gens_constructor(self, poly_ring):
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414414
sage: ch = matroids.Wheel(3).chow_ring(QQ, True, 'fy')
415415
sage: sorted(ch.defining_ideal()._gens_constructor(ch.defining_ideal().ring()))
416-
[B0*B1, B0*B2, B0*B3, B0*B23, B0*B4, B0*B124, B0*B5, B0*B15,
417-
B0*B345, B1*B2, B1*B3, B1*B23, B1*B4, B1*B04, B1*B5, B1*B025,
418-
B1*B345, B2*B3, B2*B013, B2*B4, B2*B04, B2*B5, B2*B15, B2*B345,
419-
B3*B4, B3*B04, B3*B124, B3*B5, B3*B025, B3*B15, B013*B23, B4*B013,
420-
B013*B04, B013*B124, B5*B013, B013*B025, B013*B15, B013*B345,
421-
B4*B23, B04*B23, B124*B23, B5*B23, B025*B23, B15*B23, B23*B345,
422-
B4*B5, B4*B025, B4*B15, B04*B124, B5*B04, B025*B04, B04*B15,
423-
B04*B345, B5*B124, B025*B124, B124*B15, B124*B345, B025*B15,
424-
B025*B345, B15*B345, A0*B, A0*B1, A0*B2, A0*B3, A0*B4, A0*B5,
425-
A0*B124, A0*B15, A0*B23, A0*B345, A1*B, A1*B0, A1*B2, A1*B3,
426-
A1*B4, A1*B5, A1*B025, A1*B04, A1*B23, A1*B345, A2*B, A2*B0,
427-
A2*B1, A2*B3, A2*B4, A2*B5, A2*B013, A2*B04, A2*B15, A2*B345,
428-
A3*B, A3*B0, A3*B1, A3*B2, A3*B4, A3*B5, A3*B025, A3*B04, A3*B124,
429-
A3*B15, A4*B, A4*B0, A4*B1, A4*B2, A4*B3, A4*B5, A4*B013, A4*B025,
430-
A4*B15, A4*B23, A5*B, A5*B0, A5*B1, A5*B2, A5*B3, A5*B4, A5*B013,
431-
A5*B04, A5*B124, A5*B23, A0 + B0 + B013 + B025 + B04 + B012345,
416+
[B + B0 + B1 + B2 + B3 + B4 + B5 + B013 + B025 + B04 + B124 + B15 + B23 + B345 + B012345,
432417
B + B0 + B1 + B2 + B3 + B4 + B5 + B013 + B025 + B04 + B124 + B15 + B23 + B345 + B012345,
433-
A1 + B1 + B013 + B124 + B15 + B012345,
434418
B + B0 + B1 + B2 + B3 + B4 + B5 + B013 + B025 + B04 + B124 + B15 + B23 + B345 + B012345,
435-
A2 + B2 + B025 + B124 + B23 + B012345,
436419
B + B0 + B1 + B2 + B3 + B4 + B5 + B013 + B025 + B04 + B124 + B15 + B23 + B345 + B012345,
437-
A3 + B3 + B013 + B23 + B345 + B012345,
438420
B + B0 + B1 + B2 + B3 + B4 + B5 + B013 + B025 + B04 + B124 + B15 + B23 + B345 + B012345,
439-
A4 + B4 + B04 + B124 + B345 + B012345,
440421
B + B0 + B1 + B2 + B3 + B4 + B5 + B013 + B025 + B04 + B124 + B15 + B23 + B345 + B012345,
441422
A5 + B5 + B025 + B15 + B345 + B012345,
442-
B + B0 + B1 + B2 + B3 + B4 + B5 + B013 + B025 + B04 + B124 + B15 + B23 + B345 + B012345]
423+
A4 + B4 + B04 + B124 + B345 + B012345,
424+
A3 + B3 + B013 + B23 + B345 + B012345,
425+
A2 + B2 + B025 + B124 + B23 + B012345,
426+
A1 + B1 + B013 + B124 + B15 + B012345,
427+
A0 + B0 + B013 + B025 + B04 + B012345,
428+
B23*B345, B15*B345, B124*B345, B04*B345, B025*B345, B013*B345,
429+
B2*B345, B1*B345, B0*B345, A2*B345, A1*B345, A0*B345, B15*B23,
430+
B124*B23, B04*B23, B025*B23, B013*B23, B5*B23, B4*B23, B1*B23,
431+
B0*B23, A5*B23, A4*B23, A1*B23, A0*B23, B124*B15, B04*B15,
432+
B025*B15, B013*B15, B4*B15, B3*B15, B2*B15, B0*B15, A4*B15,
433+
A3*B15, A2*B15, A0*B15, B04*B124, B025*B124, B013*B124, B5*B124,
434+
B3*B124, B0*B124, A5*B124, A3*B124, A0*B124, B025*B04, B013*B04,
435+
B5*B04, B3*B04, B2*B04, B1*B04, A5*B04, A3*B04, A2*B04, A1*B04,
436+
B013*B025, B4*B025, B3*B025, B1*B025, A4*B025, A3*B025, A1*B025,
437+
B5*B013, B4*B013, B2*B013, A5*B013, A4*B013, A2*B013, B4*B5,
438+
B3*B5, B2*B5, B1*B5, B0*B5, A4*B5, A3*B5, A2*B5, A1*B5, A0*B5,
439+
B3*B4, B2*B4, B1*B4, B0*B4, A5*B4, A3*B4, A2*B4, A1*B4, A0*B4,
440+
B2*B3, B1*B3, B0*B3, A5*B3, A4*B3, A2*B3, A1*B3, A0*B3, B1*B2,
441+
B0*B2, A5*B2, A4*B2, A3*B2, A1*B2, A0*B2, B0*B1, A5*B1, A4*B1,
442+
A3*B1, A2*B1, A0*B1, A5*B0, A4*B0, A3*B0, A2*B0, A1*B0, A5*B,
443+
A4*B, A3*B, A2*B, A1*B, A0*B]
443444
"""
444445
E = list(self._matroid.groundset())
445446
Q = []
@@ -658,9 +659,9 @@ def _gens_constructor(self, poly_ring):
658659
sage: M1 = Matroid(graphs.CycleGraph(3))
659660
sage: ch = M1.chow_ring(QQ, True, 'atom-free')
660661
sage: sorted(ch.defining_ideal()._gens_constructor(ch.defining_ideal().ring()))
661-
[A0*A1, A0*A2, A1*A2, A0^2 + 2*A0*A3 + A3^2, A1^2 + 2*A1*A3 + A3^2,
662-
A0*A1 + A0*A3, A2^2 + 2*A2*A3 + A3^2, A0*A2 + A0*A3,
663-
A0*A1 + A1*A3, A1*A2 + A1*A3, A0*A2 + A2*A3, A1*A2 + A2*A3]
662+
[A2^2 + 2*A2*A3 + A3^2, A1*A2, A1*A2 + A2*A3, A1*A2 + A1*A3, A0*A2,
663+
A0*A2 + A2*A3, A0*A2 + A0*A3, A1^2 + 2*A1*A3 + A3^2, A0*A1,
664+
A0*A1 + A1*A3, A0*A1 + A0*A3, A0^2 + 2*A0*A3 + A3^2]
664665
"""
665666
E = list(self._matroid.groundset())
666667
Q = [] # Quadratic generators

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