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Trac #32769: sage.categories.coxeter_groups: Remove module-level imports from sage.rings, sage.graphs
(cherry-picked from #32432) URL: https://trac.sagemath.org/32769 Reported by: mkoeppe Ticket author(s): Matthias Koeppe Reviewer(s): Travis Scrimshaw
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src/sage/categories/coxeter_groups.py

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@@ -22,8 +22,6 @@
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from sage.categories.generalized_coxeter_groups import GeneralizedCoxeterGroups
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from sage.structure.element import have_same_parent, parent
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from sage.misc.flatten import flatten
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from sage.graphs.digraph import DiGraph
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from sage.rings.integer_ring import ZZ
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from copy import copy
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from collections import deque
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@@ -2913,6 +2911,7 @@ def kazhdan_lusztig_cell(self, side='left'):
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"""
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from sage.algebras.iwahori_hecke_algebra import IwahoriHeckeAlgebra
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from sage.rings.polynomial.laurent_polynomial_ring import LaurentPolynomialRing
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from sage.rings.integer_ring import ZZ
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R = LaurentPolynomialRing(ZZ, 'v')
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v = R.gen(0)
@@ -2943,6 +2942,6 @@ def kazhdan_lusztig_cell(self, side='left'):
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vertices.add(y)
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queue.appendleft(y)
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from sage.graphs.digraph import DiGraph
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g = DiGraph([list(vertices), list(edges)])
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return set(g.strongly_connected_component_containing_vertex(w))
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