def test_coset_factor():
a = Permutation([0, 2, 1])
G = PermutationGroup([a])
c = Permutation([2, 1, 0])
assert not G.coset_factor(c)
assert G.coset_rank(c) is None
a = Permutation([2, 0, 1, 3, 4, 5])
b = Permutation([2, 1, 3, 4, 5, 0])
g = PermutationGroup([a, b])
assert g.order() == 360
d = Permutation([1, 0, 2, 3, 4, 5])
assert not g.coset_factor(d.array_form)
assert not g.contains(d)
assert Permutation(2) in G
c = Permutation([1, 0, 2, 3, 5, 4])
v = g.coset_factor(c, True)
tr = g.basic_transversals
p = Permutation.rmul(*[tr[i][v[i]] for i in range(len(g.base))])
assert p == c
v = g.coset_factor(c)
p = Permutation.rmul(*v)
assert p == c
assert g.contains(c)
G = PermutationGroup([Permutation([2, 1, 0])])
p = Permutation([1, 0, 2])
assert G.coset_factor(p) == []
def test_coset_factor():
a = Permutation([0, 2, 1])
G = PermutationGroup([a])
c = Permutation([2, 1, 0])
assert not G.coset_factor(c)
assert G.coset_rank(c) is None
a = Permutation([2, 0, 1, 3, 4, 5])
b = Permutation([2, 1, 3, 4, 5, 0])
g = PermutationGroup([a, b])
assert g.order() == 360
d = Permutation([1, 0, 2, 3, 4, 5])
assert not g.coset_factor(d.array_form)
assert not g.contains(d)
assert Permutation(2) in G
c = Permutation([1, 0, 2, 3, 5, 4])
v = g.coset_factor(c, True)
tr = g.basic_transversals
p = Permutation.rmul(*[tr[i][v[i]] for i in range(len(g.base))])
assert p == c
v = g.coset_factor(c)
p = Permutation.rmul(*v)
assert p == c
assert g.contains(c)
G = PermutationGroup([Permutation([2, 1, 0])])
p = Permutation([1, 0, 2])
assert G.coset_factor(p) == []
def test_coset_factor():
a = Permutation([2, 0, 1, 3, 4, 5])
b = Permutation([2, 1, 3, 4, 5, 0])
g = PermutationGroup([a, b])
assert g.order() == 360
d = Permutation([1, 0, 2, 3, 4, 5])
assert not g.coset_factor(d.array_form)
assert not g.contains(d)
c = Permutation([1, 0, 2, 3, 5, 4])
v = g.coset_factor(c, af=True)
assert _af_rmuln(*v) == [1, 0, 2, 3, 5, 4]
assert g.contains(c)
a = Permutation([0, 2, 1])
g = PermutationGroup([a])
c = Permutation([2, 1, 0])
assert not g.coset_factor(c)
assert g.coset_rank(c) is None
def test_coset_factor():
a = Permutation([2,0,1,3,4,5])
b = Permutation([2,1,3,4,5,0])
g = PermutationGroup([a, b])
assert g.order() == 360
d = Permutation([1,0,2,3,4,5])
assert not g.coset_factor(d.array_form)
assert not g.contains(d)
c = Permutation([1,0,2,3,5,4])
v = g.coset_factor(c, af=True)
assert _af_rmuln(*v) == [1,0,2,3,5,4]
assert g.contains(c)
a = Permutation([0,2,1])
g = PermutationGroup([a])
c = Permutation([2,1,0])
assert not g.coset_factor(c)
assert g.coset_rank(c) == None
