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Poincare homology sphere -> display, height = 1, threads = 1
fvPQcdecedekrsnrs 5
gvLQQcdfefefjwawtbi 6
Poincare homology sphere -> display, height = 1, threads = 2
fvPQcdecedekrsnrs 5
gvLQQcdfefefjwawtbi 6
Poincare homology sphere -> stop after 10, height = 1, threads = 1
search ran to completion, count: 2
Poincare homology sphere -> stop after 10, height = 1, threads = 2
search ran to completion, count: 2
Poincare homology sphere -> collect, height = 1, threads = 1
fvPQcdecedekrsnrs
gvLQQcdfefefjwawtbi
Poincare homology sphere -> collect, height = 1, threads = 2
fvPQcdecedekrsnrs
gvLQQcdfefefjwawtbi
Poincare homology sphere vs Poincare homology sphere -> isomorphisms, stop after 5
search terminated early, count: 5
Poincare homology sphere vs Poincare homology sphere -> subcomplexes, stop after 5
search terminated early, count: 5
Weeks manifold -> display, height = 0, threads = 1
jvLPLQQefghghifiigaxxhdingk 9
Weeks manifold -> display, height = 0, threads = 2
jvLPLQQefghghifiigaxxhdingk 9
Weeks manifold -> stop after 10, height = 1, threads = 1
search terminated early, count: 10
Weeks manifold -> stop after 10, height = 1, threads = 2
search terminated early, count: 10
Weeks manifold -> collect, height = 0, threads = 1
jvLPLQQefghghifiigaxxhdingk
Weeks manifold -> collect, height = 0, threads = 2
jvLPLQQefghghifiigaxxhdingk
Weeks manifold vs Weeks manifold -> isomorphisms, display
0 -> 0 (0123)
1 -> 1 (0123)
2 -> 2 (0123)
3 -> 3 (0123)
4 -> 4 (0123)
5 -> 5 (0123)
6 -> 6 (0123)
7 -> 7 (0123)
8 -> 8 (0123)
Weeks manifold vs Weeks manifold -> subcomplexes, display
0 -> 0 (0123)
1 -> 1 (0123)
2 -> 2 (0123)
3 -> 3 (0123)
4 -> 4 (0123)
5 -> 5 (0123)
6 -> 6 (0123)
7 -> 7 (0123)
8 -> 8 (0123)
Weeks manifold vs Weeks manifold -> isomorphisms, stop after 5
search ran to completion, count: 1
Weeks manifold vs Weeks manifold -> subcomplexes, stop after 5
search ran to completion, count: 1
Cappell-Shaneson knot complement -> display, height = 0, threads = 1
cMkabbb+aAa3blb 2
Cappell-Shaneson knot complement -> display, height = 0, threads = 2
cMkabbb+aAa3blb 2
Cappell-Shaneson knot complement -> stop after 10, height = 2, threads = 1
search ran to completion, count: 9
Cappell-Shaneson knot complement -> stop after 10, height = 2, threads = 2
search ran to completion, count: 9
Cappell-Shaneson knot complement -> collect, height = 2, threads = 1
cMkabbb+aAa3blb
eLMQcbbccdddaaaa+axbcbvaGa
eLMQcbbccdddaaaa1aHbCbvaYa
eLMQcbbccdddaaaa1aHbKavapb
eLMQcbbccdddaaaaHbka2avawa
eLMQcbbcddddaaaa+aJa2aGava
eLMQcbbdccddaaaa1bHbibvafb
eLMQcbccddddMaobyayaPbKava
eLMQcbccddddObJbxbtb5albva
Cappell-Shaneson knot complement -> collect, height = 2, threads = 2
cMkabbb+aAa3blb
eLMQcbbccdddaaaa+axbcbvaGa
eLMQcbbccdddaaaa1aHbCbvaYa
eLMQcbbccdddaaaa1aHbKavapb
eLMQcbbccdddaaaaHbka2avawa
eLMQcbbcddddaaaa+aJa2aGava
eLMQcbbdccddaaaa1bHbibvafb
eLMQcbccddddMaobyayaPbKava
eLMQcbccddddObJbxbtb5albva
Cappell-Shaneson knot complement vs Cappell-Shaneson knot complement -> isomorphisms, display
0 -> 0 (01234)
1 -> 1 (01234)
0 -> 1 (34210)
1 -> 0 (43201)
Cappell-Shaneson knot complement vs Cappell-Shaneson knot complement -> subcomplexes, display
0 -> 0 (01234)
1 -> 1 (01234)
0 -> 1 (34210)
1 -> 0 (43201)
Cappell-Shaneson knot complement vs Cappell-Shaneson knot complement -> isomorphisms, stop after 5
search ran to completion, count: 2
Cappell-Shaneson knot complement vs Cappell-Shaneson knot complement -> subcomplexes, stop after 5
search ran to completion, count: 2
LST(1,2,3) vs L(8,3) -> isomorphisms, display
LST(1,2,3) vs L(8,3) -> subcomplexes, display
0 -> 0 (2310)
0 -> 0 (3201)
0 -> 1 (0123)
0 -> 1 (1032)
LST(1,2,3) vs L(8,3) -> isomorphisms, stop after 5
search ran to completion, count: 0
LST(1,2,3) vs L(8,3) -> subcomplexes, stop after 5
search ran to completion, count: 4
Trefoil -> display, height = 0, threads = 1
dabcabcv- 3
Trefoil -> display, height = 0, threads = 2
dabcabcv- 3
Figure eight knot -> stop after 10, height = 1, threads = 1
search ran to completion, count: 8
Figure eight knot -> stop after 10, height = 1, threads = 2
search ran to completion, count: 8
Figure eight knot -> collect, height = 1, threads = 1
eabcdbadcvbZa
faabcdbedcePkBg
faabcdbedcePkNj
faabcdbedcevfBg
faabcdbedcevfNj
faabcdecbedPkpd
faabcdecbedvfpd
fabcadebcedtg5m
Figure eight knot -> collect, height = 1, threads = 2
eabcdbadcvbZa
faabcdbedcePkBg
faabcdbedcePkNj
faabcdbedcevfBg
faabcdbedcevfNj
faabcdecbedPkpd
faabcdecbedvfpd
fabcadebcedtg5m
Monster unknot -> stop after 10, height = 1, threads = 1
search terminated early, count: 10
Monster unknot -> stop after 10, height = 1, threads = 2
search terminated early, count: 10
Trefoil -> all covers, sheets = 2
Cover.Cyclic: Z + Z_3
Trefoil -> all covers, sheets = 3
Cover.Irregular: 2 Z
Cover.Cyclic: Z + 2 Z_2
Trefoil -> all covers, sheets = 4
Cover.Irregular: 2 Z
Cover.Irregular: Z + Z_2
Cover.Cyclic: Z + Z_3
Trefoil -> all covers, sheets = 5
Cover.Cyclic: Z
Cover.Irregular: Z + Z_3
Enumerating facet pairings:
0:1 0:0 1:0 1:1 | 0:2 0:3 2:0 2:1 | 1:2 1:3 2:3 2:2 -> automorphisms: 32
0:1 0:0 1:0 2:0 | 0:2 1:2 1:1 2:1 | 0:3 1:3 2:3 2:2 -> automorphisms: 48
0:1 0:0 1:0 2:0 | 0:2 2:1 2:2 2:3 | 0:3 1:1 1:2 1:3 -> automorphisms: 24
1:0 1:1 2:0 2:1 | 0:0 0:1 2:2 2:3 | 0:2 0:3 1:2 1:3 -> automorphisms: 48
0:1 0:0 0:3 0:2 1:0 1:1 | 0:4 0:5 1:3 1:2 1:5 1:4 -> automorphisms: 256
0:1 0:0 1:0 1:1 1:2 1:3 | 0:2 0:3 0:4 0:5 1:5 1:4 -> automorphisms: 192
1:0 1:1 1:2 1:3 1:4 1:5 | 0:0 0:1 0:2 0:3 0:4 0:5 -> automorphisms: 1440
Enumerating splitting surface signatures:
(aabbcc) -> automorphisms: 6
(aabcbc) -> automorphisms: 2
(aabccb) -> automorphisms: 4
(abacbc) -> automorphisms: 4
(abcabc) -> automorphisms: 6
(aabbc)(c) -> automorphisms: 2
(aabcb)(c) -> automorphisms: 2
(ababc)(c) -> automorphisms: 2
(aabc)(bc) -> automorphisms: 2
(aabc)(b)(c) -> automorphisms: 2
(abac)(bc) -> automorphisms: 4
(abac)(b)(c) -> automorphisms: 4
(aab)(bcc) -> automorphisms: 4
(aab)(bc)(c) -> automorphisms: 2
(abc)(abc) -> automorphisms: 6
(abc)(acb) -> automorphisms: 12
(abc)(ab)(c) -> automorphisms: 2
(abc)(a)(b)(c) -> automorphisms: 6
(ab)(ac)(bc) -> automorphisms: 12
(ab)(ac)(b)(c) -> automorphisms: 4
Enumerating knots:
+++-++ ( ^0 ^1 _4 ^5 _2 _0 _3 ^2 _1 ^4 _5 ^3 )
++-+++ ( ^0 ^1 _4 ^5 ^2 _0 ^3 _2 _1 ^4 _5 _3 )
+-+--- ( ^0 _1 ^4 _5 _2 _0 _3 ^2 ^1 _4 ^5 ^3 )
+--+-- ( ^0 _1 ^4 _5 ^2 _0 ^3 _2 ^1 _4 ^5 _3 )
Finding regions:
Saturated region:
Blocks:
0. Tri(major) {0,1,2}, 3 annuli
1. Mobius(vert) {triangle 2}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 1}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> bdry
0/2 --> 2/0
1/0 --> 0/0
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {0,1,2}, 3 annuli
Adjacencies:
0/0 --> 0/2 (reflected)
0/1 --> bdry
0/2 --> 0/0 (reflected)
Saturated region:
Blocks:
0. Tri(major) {0,2,1}, 3 annuli
Adjacencies:
0/0 --> 0/2 (reflected)
0/1 --> bdry
0/2 --> 0/0 (reflected)
Saturated region:
Blocks:
0. Tri(major) {0,2,1}, 3 annuli
1. Mobius(vert) {triangle 1}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 2}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> bdry
0/2 --> 2/0
1/0 --> 0/0
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {1,0,2}, 3 annuli
1. Mobius(vert) {triangle 2}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 1}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> 2/0
0/2 --> bdry
1/0 --> 0/0
2/0 --> 0/1
Saturated region:
Blocks:
0. Tri(major) {1,0,2}, 3 annuli
Adjacencies:
0/0 --> 0/1 (reflected)
0/1 --> 0/0 (reflected)
0/2 --> bdry
Saturated region:
Blocks:
0. Tri(major) {1,2,0}, 3 annuli
1. Mobius(vert) {triangle 1}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 2}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> 1/0
0/2 --> 2/0
1/0 --> 0/1
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {1,2,0}, 3 annuli
Adjacencies:
0/0 --> bdry
0/1 --> 0/2 (reflected)
0/2 --> 0/1 (reflected)
Saturated region:
Blocks:
0. Tri(major) {2,0,1}, 3 annuli
1. Mobius(vert) {triangle 1}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 2}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> 2/0
0/2 --> bdry
1/0 --> 0/0
2/0 --> 0/1
Saturated region:
Blocks:
0. Tri(major) {2,0,1}, 3 annuli
Adjacencies:
0/0 --> 0/1 (reflected)
0/1 --> 0/0 (reflected)
0/2 --> bdry
Saturated region:
Blocks:
0. Tri(major) {2,1,0}, 3 annuli
1. Mobius(vert) {triangle 2}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 1}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> 1/0
0/2 --> 2/0
1/0 --> 0/1
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {2,1,0}, 3 annuli
Adjacencies:
0/0 --> bdry
0/1 --> 0/2 (reflected)
0/2 --> 0/1 (reflected)
Saturated region:
Blocks:
0. Tri(major) {3,5,4}, 3 annuli
1. Mobius(vert) {triangle 7}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> bdry
0/2 --> bdry
1/0 --> 0/0
Saturated region:
Blocks:
0. Tri(major) {3,4,5}, 3 annuli
1. Mobius(vert) {triangle 7}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> bdry
0/2 --> 1/0
1/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {4,5,3}, 3 annuli
1. Mobius(vert) {triangle 7}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> 1/0
0/2 --> bdry
1/0 --> 0/1
Saturated region:
Blocks:
0. Tri(major) {4,3,5}, 3 annuli
1. Mobius(vert) {triangle 7}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> 1/0
0/2 --> bdry
1/0 --> 0/1
Saturated region:
Blocks:
0. Tri(major) {5,3,4}, 3 annuli
1. Mobius(vert) {triangle 7}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> bdry
0/2 --> bdry
1/0 --> 0/0
Saturated region:
Blocks:
0. Tri(major) {5,4,3}, 3 annuli
1. Mobius(vert) {triangle 7}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> bdry
0/2 --> 1/0
1/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {6,8,7}, 3 annuli
Adjacencies:
0/0 --> 0/1 (reflected)
0/1 --> 0/0 (reflected)
0/2 --> bdry
Saturated region:
Blocks:
0. Tri(major) {6,7,8}, 3 annuli
Adjacencies:
0/0 --> bdry
0/1 --> 0/2 (reflected)
0/2 --> 0/1 (reflected)
Saturated region:
Blocks:
0. Tri(major) {6,7,8}, 3 annuli
1. Mobius(vert) {triangle 16}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 15}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> 1/0
0/2 --> 2/0
1/0 --> 0/1
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {6,8,7}, 3 annuli
1. Mobius(vert) {triangle 15}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 16}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> 2/0
0/2 --> bdry
1/0 --> 0/0
2/0 --> 0/1
Saturated region:
Blocks:
0. Tri(major) {7,8,6}, 3 annuli
1. Mobius(vert) {triangle 16}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 15}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> 2/0
0/2 --> bdry
1/0 --> 0/0
2/0 --> 0/1
Saturated region:
Blocks:
0. Tri(major) {7,6,8}, 3 annuli
1. Mobius(vert) {triangle 15}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 16}, reflected(H), 1 annulus
Adjacencies:
0/0 --> bdry
0/1 --> 1/0
0/2 --> 2/0
1/0 --> 0/1
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {7,6,8}, 3 annuli
Adjacencies:
0/0 --> bdry
0/1 --> 0/2 (reflected)
0/2 --> 0/1 (reflected)
Saturated region:
Blocks:
0. Tri(major) {7,8,6}, 3 annuli
Adjacencies:
0/0 --> 0/1 (reflected)
0/1 --> 0/0 (reflected)
0/2 --> bdry
Saturated region:
Blocks:
0. Tri(major) {8,6,7}, 3 annuli
Adjacencies:
0/0 --> 0/2 (reflected)
0/1 --> bdry
0/2 --> 0/0 (reflected)
Saturated region:
Blocks:
0. Tri(major) {8,6,7}, 3 annuli
1. Mobius(vert) {triangle 15}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 16}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> bdry
0/2 --> 2/0
1/0 --> 0/0
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {8,7,6}, 3 annuli
1. Mobius(vert) {triangle 16}, reflected(H), 1 annulus
2. Mobius(vert) {triangle 15}, reflected(H), 1 annulus
Adjacencies:
0/0 --> 1/0
0/1 --> bdry
0/2 --> 2/0
1/0 --> 0/0
2/0 --> 0/2
Saturated region:
Blocks:
0. Tri(major) {8,7,6}, 3 annuli
Adjacencies:
0/0 --> 0/2 (reflected)
0/1 --> bdry
0/2 --> 0/0 (reflected)
Enumerating covers:
mLvALvQQQceegjlkjiljklhhahhaaaghahg Cover.Irregular
mLvALvQQQceegjlkjiljklhhahhaaaghahg Cover.Irregular
mLvwMMMPQbegfijhkkklllhaahbabhhahbg Cover.Cyclic
mLvwMMMPQbegfijhkkklllhaahbabhhahbg Cover.Cyclic
mvLALPzQQdefeghhjkllklbbabbbbbhhhhb Cover.Cyclic
mvLALPzQQdefeghhjkllklbbabbbbbhhhhb Cover.Cyclic
|
