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diff --git a/src/sage/interfaces/gap.py b/src/sage/interfaces/gap.py
index 2b1cb8aef4..0bbc018499 100644
--- a/src/sage/interfaces/gap.py
+++ b/src/sage/interfaces/gap.py
@@ -886,7 +886,7 @@ class Gap_generic(ExtraTabCompletion, Expect):
sage: print(gap.version())
4...
"""
- return self.eval('VERSION')[1:-1]
+ return self.eval('GAPInfo.Version')[1:-1]
def function_call(self, function, args=None, kwds=None):
"""
diff --git a/src/sage/coding/linear_code.py b/src/sage/coding/linear_code.py
index e106498063..b56388830b 100644
--- a/src/sage/coding/linear_code.py
+++ b/src/sage/coding/linear_code.py
@@ -483,17 +483,17 @@ class AbstractLinearCode(AbstractCode, Module):
0
sage: C = codes.HammingCode(GF(4, 'z'), 3)
sage: C.automorphism_group_gens()
- ([((1, z, z + 1, z, z, 1, 1, z, z + 1, z, z, 1, z, z + 1, z, z, 1, z, z + 1, z, z); (1,5,18,7,11,8)(2,12,21)(3,20,14,10,19,15)(4,9)(13,17,16), Ring endomorphism of Finite Field in z of size 2^2
- Defn: z |--> z + 1),
- ((1, 1, z, z + 1, z, z, z + 1, z + 1, z, 1, 1, z, z, z + 1, z + 1, 1, z, z, 1, z, z + 1); (2,11)(3,13)(4,14)(5,20)(6,17)(8,15)(16,19), Ring endomorphism of Finite Field in z of size 2^2
+ ([((1, 1, 1, 1, 1, z + 1, z, z + 1, z, z, z, 1, 1, z + 1, z + 1, z, z + 1, z, z + 1, z + 1, z + 1); (1,14,6,7,4,10,11,19)(2,8,16,13,3,17,21,15)(9,12,18,20), Ring endomorphism of Finite Field in z of size 2^2
Defn: z |--> z + 1),
+ ((z + 1, 1, 1, z, z + 1, z, z, z + 1, z + 1, z + 1, 1, z + 1, z, z, 1, z + 1, 1, z, z + 1, z + 1, z); (1,18,6,19,2,9,17,10,13,14,21,11,4,5,12)(3,20,7,16,8), Ring endomorphism of Finite Field in z of size 2^2
+ Defn: z |--> z),
((z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z); (), Ring endomorphism of Finite Field in z of size 2^2
Defn: z |--> z)],
362880)
sage: C.automorphism_group_gens(equivalence="linear")
- ([((z, 1, 1, z, z + 1, z, z, z + 1, z + 1, z + 1, 1, z + 1, z, z, 1, 1, 1, z, z, z + 1, z); (1,6)(2,20,9,16)(3,10,8,11)(4,15,21,5)(12,17)(13,14,19,18), Ring endomorphism of Finite Field in z of size 2^2
+ ([((z + 1, 1, z + 1, z + 1, z + 1, z, 1, z, 1, 1, 1, 1, z + 1, z + 1, z + 1, z, z, 1, z, z, z); (1,15,2,8,16,18,3)(4,9,12,13,20,10,11)(5,21,14,6,7,19,17), Ring endomorphism of Finite Field in z of size 2^2
Defn: z |--> z),
- ((1, z, z + 1, z, z, z, z + 1, z + 1, 1, z, z, z, 1, z, 1, z + 1, z, z + 1, z, z + 1, 1); (1,15,20,5,8,6,12,14,13,7,16,11,19,3,21,4,9,10,18,17,2), Ring endomorphism of Finite Field in z of size 2^2
+ ((z + 1, z + 1, z + 1, z + 1, z + 1, 1, z, 1, z, z, z, 1, z, 1, 1, 1, z + 1, z + 1, z + 1, 1, z); (1,15,21,8,9)(2,18,5,3,11,16,7,10,19,13,12,4,17,6,20), Ring endomorphism of Finite Field in z of size 2^2
Defn: z |--> z),
((z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1, z + 1); (), Ring endomorphism of Finite Field in z of size 2^2
Defn: z |--> z)],
@@ -709,10 +709,10 @@ class AbstractLinearCode(AbstractCode, Module):
sage: C_iso == aut_group_can_label.get_canonical_form()
True
sage: aut_group_can_label.get_autom_gens()
- [((1, z, z + 1, z, z, 1, 1, z, z + 1, z, z, 1, z, z + 1, z, z, 1, z, z + 1, z, z); (1,5,18,7,11,8)(2,12,21)(3,20,14,10,19,15)(4,9)(13,17,16), Ring endomorphism of Finite Field in z of size 2^2
- Defn: z |--> z + 1),
- ((1, 1, z, z + 1, z, z, z + 1, z + 1, z, 1, 1, z, z, z + 1, z + 1, 1, z, z, 1, z, z + 1); (2,11)(3,13)(4,14)(5,20)(6,17)(8,15)(16,19), Ring endomorphism of Finite Field in z of size 2^2
+ [((1, 1, 1, 1, 1, z + 1, z, z + 1, z, z, z, 1, 1, z + 1, z + 1, z, z + 1, z, z + 1, z + 1, z + 1); (1,14,6,7,4,10,11,19)(2,8,16,13,3,17,21,15)(9,12,18,20), Ring endomorphism of Finite Field in z of size 2^2
Defn: z |--> z + 1),
+ ((z + 1, 1, 1, z, z + 1, z, z, z + 1, z + 1, z + 1, 1, z + 1, z, z, 1, z + 1, 1, z, z + 1, z + 1, z); (1,18,6,19,2,9,17,10,13,14,21,11,4,5,12)(3,20,7,16,8), Ring endomorphism of Finite Field in z of size 2^2
+ Defn: z |--> z),
((z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z, z); (), Ring endomorphism of Finite Field in z of size 2^2
Defn: z |--> z)]
"""
diff --git a/src/sage/combinat/tiling.py b/src/sage/combinat/tiling.py
index acc4640675..4ee841d681 100644
--- a/src/sage/combinat/tiling.py
+++ b/src/sage/combinat/tiling.py
@@ -320,21 +320,21 @@ def ncube_isometry_group(n, orientation_preserving=True):
sage: ncube_isometry_group(3)
[
- [1 0 0] [ 1 0 0] [ 0 1 0] [ 0 0 -1] [ 1 0 0] [ 0 1 0]
- [0 1 0] [ 0 0 1] [ 0 0 -1] [ 0 -1 0] [ 0 0 -1] [-1 0 0]
- [0 0 1], [ 0 -1 0], [-1 0 0], [-1 0 0], [ 0 1 0], [ 0 0 1],
+ [1 0 0] [ 1 0 0] [ 1 0 0] [ 0 1 0] [0 1 0] [ 0 0 1]
+ [0 1 0] [ 0 0 1] [ 0 0 -1] [-1 0 0] [0 0 1] [ 0 -1 0]
+ [0 0 1], [ 0 -1 0], [ 0 1 0], [ 0 0 1], [1 0 0], [ 1 0 0],
<BLANKLINE>
- [ 1 0 0] [ 0 0 1] [0 1 0] [ 0 0 1] [ 0 0 -1] [ 0 -1 0]
- [ 0 -1 0] [-1 0 0] [0 0 1] [ 0 -1 0] [-1 0 0] [-1 0 0]
- [ 0 0 -1], [ 0 -1 0], [1 0 0], [ 1 0 0], [ 0 1 0], [ 0 0 -1],
+ [-1 0 0] [ 0 -1 0] [-1 0 0] [-1 0 0] [ 0 -1 0] [ 0 0 -1]
+ [ 0 -1 0] [ 0 0 -1] [ 0 0 -1] [ 0 1 0] [ 0 0 1] [ 1 0 0]
+ [ 0 0 1], [ 1 0 0], [ 0 -1 0], [ 0 0 -1], [-1 0 0], [ 0 -1 0],
<BLANKLINE>
- [ 0 1 0] [ 0 0 1] [ 0 0 -1] [ 0 -1 0] [0 0 1] [ 0 -1 0]
- [ 1 0 0] [ 0 1 0] [ 1 0 0] [ 0 0 1] [1 0 0] [ 1 0 0]
- [ 0 0 -1], [-1 0 0], [ 0 -1 0], [-1 0 0], [0 1 0], [ 0 0 1],
+ [ 0 1 0] [ 0 0 1] [0 0 1] [ 0 -1 0] [ 0 0 -1] [-1 0 0]
+ [ 1 0 0] [ 0 1 0] [1 0 0] [ 1 0 0] [ 0 1 0] [ 0 0 1]
+ [ 0 0 -1], [-1 0 0], [0 1 0], [ 0 0 1], [ 1 0 0], [ 0 1 0],
<BLANKLINE>
- [-1 0 0] [-1 0 0] [ 0 0 -1] [-1 0 0] [ 0 -1 0] [-1 0 0]
- [ 0 1 0] [ 0 0 -1] [ 0 1 0] [ 0 0 1] [ 0 0 -1] [ 0 -1 0]
- [ 0 0 -1], [ 0 -1 0], [ 1 0 0], [ 0 1 0], [ 1 0 0], [ 0 0 1]
+ [ 0 -1 0] [ 0 0 -1] [ 0 0 1] [ 1 0 0] [ 0 0 -1] [ 0 1 0]
+ [-1 0 0] [-1 0 0] [-1 0 0] [ 0 -1 0] [ 0 -1 0] [ 0 0 -1]
+ [ 0 0 -1], [ 0 1 0], [ 0 -1 0], [ 0 0 -1], [-1 0 0], [-1 0 0]
]
TESTS::
diff --git a/src/sage/tests/books/judson-abstract-algebra/sylow-sage.py b/src/sage/tests/books/judson-abstract-algebra/sylow-sage.py
index b60931344c..0051f20652 100644
--- a/src/sage/tests/books/judson-abstract-algebra/sylow-sage.py
+++ b/src/sage/tests/books/judson-abstract-algebra/sylow-sage.py
@@ -236,7 +236,7 @@ r"""
~~~~~~~~~~~~~~~~~~~~~~ ::
sage: G.Center()
- Group( [ ( 1, 3, 5)( 2, 4, 6) ] )
+ Group( [ (1,3,5)(2,4,6) ] )
~~~~~~~~~~~~~~~~~~~~~~ ::
diff --git a/src/sage/groups/finitely_presented.py b/src/sage/groups/finitely_presented.py
index 1642d48166..4d1dd4c548 100644
--- a/src/sage/groups/finitely_presented.py
+++ b/src/sage/groups/finitely_presented.py
@@ -1201,7 +1201,7 @@ class FinitelyPresentedGroup(GroupMixinLibGAP, UniqueRepresentation,
sage: D = C2.semidirect_product(C8, hom); D
Finitely presented group < a, b | a^2, b^8, a^-1*b*a*b >
sage: D = C2.semidirect_product(C8, hom, reduced=True); D
- Finitely presented group < a, b | a^2, (a*b)^2, b^8 >
+ Finitely presented group < a, b | a^2, a*b*a*b, b^8 >
sage: C3 = groups.presentation.Cyclic(3)
sage: C4 = groups.presentation.Cyclic(4)
@@ -1442,22 +1442,25 @@ class FinitelyPresentedGroup(GroupMixinLibGAP, UniqueRepresentation,
sage: H = AlternatingGroup(3)
sage: G.epimorphisms(H)
[Generic morphism:
- From: Finitely presented group < x0, x1, x2 | (x0*x1*x2)^2, x0^3 >
+ From: Finitely presented group < x0, x1, x2 | x0*x1*x2*x0*x1*x2, x0^3 >
To: Alternating group of order 3!/2 as a permutation group
Defn: x0 |--> ()
x1 |--> (1,3,2)
- x2 |--> (1,2,3), Generic morphism:
- From: Finitely presented group < x0, x1, x2 | (x0*x1*x2)^2, x0^3 >
+ x2 |--> (1,2,3),
+ Generic morphism:
+ From: Finitely presented group < x0, x1, x2 | x0*x1*x2*x0*x1*x2, x0^3 >
To: Alternating group of order 3!/2 as a permutation group
Defn: x0 |--> (1,3,2)
x1 |--> ()
- x2 |--> (1,2,3), Generic morphism:
- From: Finitely presented group < x0, x1, x2 | (x0*x1*x2)^2, x0^3 >
+ x2 |--> (1,2,3),
+ Generic morphism:
+ From: Finitely presented group < x0, x1, x2 | x0*x1*x2*x0*x1*x2, x0^3 >
To: Alternating group of order 3!/2 as a permutation group
Defn: x0 |--> (1,3,2)
x1 |--> (1,2,3)
- x2 |--> (), Generic morphism:
- From: Finitely presented group < x0, x1, x2 | (x0*x1*x2)^2, x0^3 >
+ x2 |--> (),
+ Generic morphism:
+ From: Finitely presented group < x0, x1, x2 | x0*x1*x2*x0*x1*x2, x0^3 >
To: Alternating group of order 3!/2 as a permutation group
Defn: x0 |--> (1,2,3)
x1 |--> (1,2,3)
@@ -1548,11 +1551,11 @@ class FinitelyPresentedGroup(GroupMixinLibGAP, UniqueRepresentation,
sage: G = F / [a^2,b^3,(a*b/a)^3,b*a*b*a]
sage: k = G.rewriting_system()
sage: k
- Rewriting system of Finitely presented group < a, b | a^2, b^3, a*b^3*a^-1, (b*a)^2 >
+ Rewriting system of Finitely presented group < a, b | a^2, b^3, a*b^3*a^-1, b*a*b*a >
with rules:
a^2 ---> 1
b^3 ---> 1
- (b*a)^2 ---> 1
+ b*a*b*a ---> 1
a*b^3*a^-1 ---> 1
sage: G([1,1,2,2,2])
diff --git a/src/sage/groups/perm_gps/permgroup.py b/src/sage/groups/perm_gps/permgroup.py
index 8512b01122..245fdd868b 100644
--- a/src/sage/groups/perm_gps/permgroup.py
+++ b/src/sage/groups/perm_gps/permgroup.py
@@ -850,7 +850,7 @@ class PermutationGroup_generic(FiniteGroup):
sage: f=PG._coerce_map_from_(MG)
sage: mg = MG.an_element()
sage: p = f(mg); p
- (1,2,6,19,35,33)(3,9,26,14,31,23)(4,13,5)(7,22,17)(8,24,12)(10,16,32,27,20,28)(11,30,18)(15,25,36,34,29,21)
+ (2,33,32,23,31,55)(3,49,38,44,40,28)(4,17,59,62,58,46)(5,21,47,20,43,8)(6,53,50)(7,37,12,57,14,29)(9,41,56,34,64,10)(11,25,19)(13,61,26,51,22,15)(16,45,36)(18,27,35,48,52,54)(24,63,42)(30,39,60)
sage: PG(p._gap_()) == p
True
@@ -899,9 +899,9 @@ class PermutationGroup_generic(FiniteGroup):
False
sage: g1, g2, g3 = G.gens()
sage: P(g1*g2)
- (1,9,7,6)(2,10)(3,11)(4,5,8,12)
+ (1,3,7,12)(2,4,8,10)(5,11)(6,9)
sage: P1(g1*g2)
- (1,4,13,11)(2,5,14,18)(3,15,8,16)(6,7)(9,20,19,12)(10,17)
+ (2,29,25,68)(3,57,13,54)(4,11,72,37)(5,39,60,23)(6,64,75,63)(7,21,50,73)(8,46,38,32)(9,74,35,18)(10,44,49,48)(12,16,34,71)(14,79,27,40)(15,26)(17,62,59,76)(19,78,70,65)(20,22,58,51)(24,33,36,43)(28,81,80,52)(30,53,56,69)(31,61)(41,42,67,55)(45,77)(47,66)
Another check for :trac:`5583`::
diff --git a/src/sage/groups/matrix_gps/finitely_generated.py b/src/sage/groups/matrix_gps/finitely_generated.py
index d356c9cfc1..5f78373a3f 100644
--- a/src/sage/groups/matrix_gps/finitely_generated.py
+++ b/src/sage/groups/matrix_gps/finitely_generated.py
@@ -549,7 +549,7 @@ class FinitelyGeneratedMatrixGroup_gap(MatrixGroup_gap):
sage: A = MS([[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]])
sage: G = MatrixGroup([A])
sage: G.as_permutation_group()
- Permutation Group with generators [(1,2)]
+ Permutation Group with generators [(2,17)(3,9)(4,25)(6,21)(7,13)(8,29)(10,19)(12,27)(14,23)(16,31)(20,26)(24,30)]
A finite subgroup of GL(12,Z) as a permutation group::
@@ -624,7 +624,7 @@ class FinitelyGeneratedMatrixGroup_gap(MatrixGroup_gap):
sage: PG = MG.as_permutation_group()
sage: mg = MG.an_element()
sage: PG(mg)
- (1,2,6,19,35,33)(3,9,26,14,31,23)(4,13,5)(7,22,17)(8,24,12)(10,16,32,27,20,28)(11,30,18)(15,25,36,34,29,21)
+ (2,33,32,23,31,55)(3,49,38,44,40,28)(4,17,59,62,58,46)(5,21,47,20,43,8)(6,53,50)(7,37,12,57,14,29)(9,41,56,34,64,10)(11,25,19)(13,61,26,51,22,15)(16,45,36)(18,27,35,48,52,54)(24,63,42)(30,39,60)
"""
# Note that the output of IsomorphismPermGroup() depends on
# memory locations and will change if you change the order of
|