#118 ⟨a, b | aaa=b, bbb=1⟩

Contents

  1. Properties
  2. Commutative structure
  3. Finite structure
  4. Staircase diagram
  5. Cayley table
  6. Right Cayley graph
  7. Rewriting system
  8. Same cardinality
  9. Isomorphic instances

Properties

Commutative structure

Finite structure

The order of x is the least n such that xn = 1.

Staircase diagram

Cayley table

1aa2a3a4a5a6a7a8
11aa2a3a4a5a6a7a8
aaa2a3a4a5a6a7a81
a2a2a3a4a5a6a7a81a
a3a3a4a5a6a7a81aa2
a4a4a5a6a7a81aa2a3
a5a5a6a7a81aa2a3a4
a6a6a7a81aa2a3a4a5
a7a7a81aa2a3a4a5a6
a8a81aa2a3a4a5a6a7

Right Cayley graph

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1
1
#RuleProof
1. a9 ⇒ 1 [2]
2. b ⇒ a3 [1]
# ab:aaa=b,bbb=1 a/b - -
aaaaaaaaa=1
b=aaa

Same cardinality

26 unique, 380 total

Σ#PresentationPropertiesDescriptionφ
8568⟨a, b | aaa=a, abb=b⟩Noc 95
8571⟨a, b | aaa=a, bbb=a⟩Noc Com 9ℕ(9 = 3)48
8581⟨a, b | aaa=b, bbb=a⟩Noc Com 9ℕ(9 = 1)62
8601⟨a, b | aba=b, bab=a⟩Noc 93
91584⟨a, b | aaa=aa, bbb=a⟩Noc Com 9ℕ(9 = 6)16
91595⟨a, b | aaa=ab, bab=b⟩Noc 99
91598⟨a, b | aaa=ab, bbb=a⟩Noc Com 9ℕ(9 = 4)40
91608⟨a, b | aaa=bb, bbb=a⟩Noc Com 9ℕ(9 = 2)70
91991⟨a, b | aaa=a, abba=b⟩Noc 93
92064⟨a, b | aab=b, abba=a⟩Noc 938
92255⟨a, b | ab=aa, bba=bb⟩Noc 9
104125⟨a, b | aab=aaa, baa=b⟩Noc 92
104130⟨a, b | aab=aaa, bbb=a⟩Noc Com 9ℕ(9 = 7)1
104156⟨a, b | abb=aaa, bbb=a⟩Noc Com 9ℕ(9 = 5)12
105035⟨a, b | aaa=aa, abbb=b⟩Noc 93
105079⟨a, b | aaa=bb, aaba=b⟩Noc Com 98
105124⟨a, b | aab=aa, bbbb=a⟩Noc Com 9ℕ(9 = 8)5
105339⟨a, b | aaa=bb, aab=ab⟩Noc 91
106824⟨a, b | aab=b, bbb=aaa⟩Noc Com 95
107139⟨a, b | bb=aa, aaaa=ab⟩Noc 93
109327⟨a, b | ab=a, baaa=bbb⟩Noc 93
109359⟨a, b | ab=a, bbaa=bbb⟩Noc 92
1119506⟨a, b | aab=b, aaaaa=ba⟩Noc 9
1119507⟨a, b | aab=b, aaaaa=bb⟩Noc Com 9
1120723⟨a, b | ab=aa, aaaaa=bb⟩Noc 915
1125656⟨a, b | ab=a, bbbbb=baa⟩Noc 9

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

562 total

Σ#PresentationMapping
7169⟨a, b | aaa=1, abbb=1⟩φ(a) = aaaaaa, φ(b) = a
7171⟨a, b | aaa=1, babb=1⟩φ(a) = aaaaaa, φ(b) = a
8407⟨a, b | aaa=bb, bbb=1⟩φ(a) = a, φ(b) = aaaaaa
8671⟨a, b | aaa=1, aabbb=1⟩φ(a) = aaa, φ(b) = a
8674⟨a, b | aaa=1, ababb=1⟩φ(a) = aaa, φ(b) = a
8675⟨a, b | aaa=1, abbab=1⟩φ(a) = aaa, φ(b) = a
8676⟨a, b | aaa=1, abbba=1⟩φ(a) = aaa, φ(b) = a
8679⟨a, b | aaa=1, baabb=1⟩φ(a) = aaa, φ(b) = a
8680⟨a, b | aaa=1, babab=1⟩φ(a) = aaa, φ(b) = a
8786⟨a, b | aab=1, bbbb=a⟩φ(a) = aaaa, φ(b) = a
8806⟨a, b | aba=1, bbbb=a⟩φ(a) = aaaa, φ(b) = a
8841⟨a, b | aa=b, abbbb=1⟩φ(a) = aaaaa, φ(b) = a
8845⟨a, b | aa=b, babbb=1⟩φ(a) = aaaaa, φ(b) = a
8846⟨a, b | aa=b, bbabb=1⟩φ(a) = aaaaa, φ(b) = a
91319⟨a, b | aaaa=a, abbb=1⟩φ(a) = aaaaaa, φ(b) = a
91321⟨a, b | aaaa=a, babb=1⟩φ(a) = aaaaaa, φ(b) = a
91351⟨a, b | aaab=b, abbb=1⟩φ(a) = aaaaaa, φ(b) = a
91355⟨a, b | aaab=b, babb=1⟩φ(a) = aaaaaa, φ(b) = a
91357⟨a, b | aaab=b, bbab=1⟩φ(a) = aaaaaa, φ(b) = a
91358⟨a, b | aaab=b, bbba=1⟩φ(a) = aaaaaa, φ(b) = a
91377⟨a, b | aaba=b, abbb=1⟩φ(a) = aaaaaa, φ(b) = a
91381⟨a, b | aaba=b, babb=1⟩φ(a) = aaaaaa, φ(b) = a
91383⟨a, b | aaba=b, bbab=1⟩φ(a) = aaaaaa, φ(b) = a
91384⟨a, b | aaba=b, bbba=1⟩φ(a) = aaaaaa, φ(b) = a
91467⟨a, b | aaa=bb, aaab=1⟩φ(a) = a, φ(b) = aaaaaa
91468⟨a, b | aaa=bb, aaba=1⟩φ(a) = a, φ(b) = aaaaaa
91859⟨a, b | aaa=b, aaabb=1⟩φ(a) = a, φ(b) = aaa
91861⟨a, b | aaa=b, aabab=1⟩φ(a) = a, φ(b) = aaa
91862⟨a, b | aaa=b, aabba=1⟩φ(a) = a, φ(b) = aaa
91864⟨a, b | aaa=b, abaab=1⟩φ(a) = a, φ(b) = aaa
91865⟨a, b | aaa=b, ababa=1⟩φ(a) = a, φ(b) = aaa
91870⟨a, b | aaa=b, baaab=1⟩φ(a) = a, φ(b) = aaa
92347⟨a, b | aab=1, abbbbb=1⟩φ(a) = aaaa, φ(b) = a
92363⟨a, b | aab=1, babbbb=1⟩φ(a) = aaaa, φ(b) = a
92371⟨a, b | aab=1, bbabbb=1⟩φ(a) = aaaa, φ(b) = a
92375⟨a, b | aab=1, bbbabb=1⟩φ(a) = aaaa, φ(b) = a
92377⟨a, b | aab=1, bbbbab=1⟩φ(a) = aaaa, φ(b) = a
92378⟨a, b | aab=1, bbbbba=1⟩φ(a) = aaaa, φ(b) = a
92405⟨a, b | aba=1, abbbbb=1⟩φ(a) = aaaa, φ(b) = a
92412⟨a, b | aba=1, babbbb=1⟩φ(a) = aaaa, φ(b) = a
92414⟨a, b | aba=1, bbabbb=1⟩φ(a) = aaaa, φ(b) = a
92430⟨a, b | aaa=1, aabbb=a⟩φ(a) = aaaaaa, φ(b) = a
92436⟨a, b | aaa=1, ababb=a⟩φ(a) = aaaaaa, φ(b) = a
92438⟨a, b | aaa=1, abbab=a⟩φ(a) = aaaaaa, φ(b) = a
92440⟨a, b | aaa=1, abbba=a⟩φ(a) = aaaaaa, φ(b) = a
92446⟨a, b | aaa=1, baabb=a⟩φ(a) = aaaaaa, φ(b) = a
92448⟨a, b | aaa=1, babab=a⟩φ(a) = aaaaaa, φ(b) = a
92582⟨a, b | aaa=1, abbb=aa⟩φ(a) = aaa, φ(b) = a
92589⟨a, b | aaa=1, babb=aa⟩φ(a) = aaa, φ(b) = a
92708⟨a, b | aab=1, bbb=aaa⟩φ(a) = aaaa, φ(b) = a
92716⟨a, b | aba=1, bbb=aaa⟩φ(a) = aaaa, φ(b) = a
92763⟨a, b | aa=b, aaabbb=1⟩φ(a) = aaaaa, φ(b) = a
92766⟨a, b | aa=b, aababb=1⟩φ(a) = aaaaa, φ(b) = a
92768⟨a, b | aa=b, aabbab=1⟩φ(a) = aaaaa, φ(b) = a
92769⟨a, b | aa=b, aabbba=1⟩φ(a) = aaaaa, φ(b) = a
92773⟨a, b | aa=b, abaabb=1⟩φ(a) = aaaaa, φ(b) = a
92774⟨a, b | aa=b, ababab=1⟩φ(a) = aaaaa, φ(b) = a
92775⟨a, b | aa=b, ababba=1⟩φ(a) = aaaaa, φ(b) = a
92777⟨a, b | aa=b, abbaab=1⟩φ(a) = aaaaa, φ(b) = a
92783⟨a, b | aa=b, baaabb=1⟩φ(a) = aaaaa, φ(b) = a
92784⟨a, b | aa=b, baabab=1⟩φ(a) = aaaaa, φ(b) = a
104349⟨a, b | aaaa=a, aabbb=1⟩φ(a) = aaa, φ(b) = a
104352⟨a, b | aaaa=a, ababb=1⟩φ(a) = aaa, φ(b) = a
104353⟨a, b | aaaa=a, abbab=1⟩φ(a) = aaa, φ(b) = a
104354⟨a, b | aaaa=a, abbba=1⟩φ(a) = aaa, φ(b) = a
104357⟨a, b | aaaa=a, baabb=1⟩φ(a) = aaa, φ(b) = a
104358⟨a, b | aaaa=a, babab=1⟩φ(a) = aaa, φ(b) = a
104421⟨a, b | aaab=b, aabbb=1⟩φ(a) = aaa, φ(b) = a
104425⟨a, b | aaab=b, ababb=1⟩φ(a) = aaa, φ(b) = a
104427⟨a, b | aaab=b, abbab=1⟩φ(a) = aaa, φ(b) = a
104428⟨a, b | aaab=b, abbba=1⟩φ(a) = aaa, φ(b) = a
104433⟨a, b | aaab=b, baabb=1⟩φ(a) = aaa, φ(b) = a
104435⟨a, b | aaab=b, babab=1⟩φ(a) = aaa, φ(b) = a
104436⟨a, b | aaab=b, babba=1⟩φ(a) = aaa, φ(b) = a
104439⟨a, b | aaab=b, bbaab=1⟩φ(a) = aaa, φ(b) = a
104440⟨a, b | aaab=b, bbaba=1⟩φ(a) = aaa, φ(b) = a
104442⟨a, b | aaab=b, bbbaa=1⟩φ(a) = aaa, φ(b) = a
104485⟨a, b | aaba=b, aabbb=1⟩φ(a) = aaa, φ(b) = a
104489⟨a, b | aaba=b, ababb=1⟩φ(a) = aaa, φ(b) = a
104491⟨a, b | aaba=b, abbab=1⟩φ(a) = aaa, φ(b) = a
104492⟨a, b | aaba=b, abbba=1⟩φ(a) = aaa, φ(b) = a
104497⟨a, b | aaba=b, baabb=1⟩φ(a) = aaa, φ(b) = a
104499⟨a, b | aaba=b, babab=1⟩φ(a) = aaa, φ(b) = a
104500⟨a, b | aaba=b, babba=1⟩φ(a) = aaa, φ(b) = a
104503⟨a, b | aaba=b, bbaab=1⟩φ(a) = aaa, φ(b) = a
104504⟨a, b | aaba=b, bbaba=1⟩φ(a) = aaa, φ(b) = a
104506⟨a, b | aaba=b, bbbaa=1⟩φ(a) = aaa, φ(b) = a
104785⟨a, b | aaa=ab, abbbb=1⟩φ(a) = aaaaa, φ(b) = a
104793⟨a, b | aaa=ab, babbb=1⟩φ(a) = aaaaa, φ(b) = a
104797⟨a, b | aaa=ab, bbabb=1⟩φ(a) = aaaaa, φ(b) = a
104799⟨a, b | aaa=ab, bbbab=1⟩φ(a) = aaaaa, φ(b) = a
104800⟨a, b | aaa=ab, bbbba=1⟩φ(a) = aaaaa, φ(b) = a
104933⟨a, b | aab=bb, abbbb=1⟩φ(a) = aaaaa, φ(b) = a
104941⟨a, b | aab=bb, babbb=1⟩φ(a) = aaaaa, φ(b) = a
104945⟨a, b | aab=bb, bbabb=1⟩φ(a) = aaaaa, φ(b) = a
104947⟨a, b | aab=bb, bbbab=1⟩φ(a) = aaaaa, φ(b) = a
104948⟨a, b | aab=bb, bbbba=1⟩φ(a) = aaaaa, φ(b) = a
105015⟨a, b | aba=bb, abbbb=1⟩φ(a) = aaaaa, φ(b) = a
105019⟨a, b | aba=bb, babbb=1⟩φ(a) = aaaaa, φ(b) = a
105020⟨a, b | aba=bb, bbabb=1⟩φ(a) = aaaaa, φ(b) = a
107215⟨a, b | aaa=1, aaaabbb=1⟩φ(a) = aaaaaa, φ(b) = a
107219⟨a, b | aaa=1, aaababb=1⟩φ(a) = aaaaaa, φ(b) = a
107221⟨a, b | aaa=1, aaabbab=1⟩φ(a) = aaaaaa, φ(b) = a
107222⟨a, b | aaa=1, aaabbba=1⟩φ(a) = aaaaaa, φ(b) = a
107226⟨a, b | aaa=1, aabaabb=1⟩φ(a) = aaaaaa, φ(b) = a
107228⟨a, b | aaa=1, aababab=1⟩φ(a) = aaaaaa, φ(b) = a
107229⟨a, b | aaa=1, aababba=1⟩φ(a) = aaaaaa, φ(b) = a
107231⟨a, b | aaa=1, aabbaab=1⟩φ(a) = aaaaaa, φ(b) = a
107232⟨a, b | aaa=1, aabbaba=1⟩φ(a) = aaaaaa, φ(b) = a
107234⟨a, b | aaa=1, aabbbaa=1⟩φ(a) = aaaaaa, φ(b) = a
107240⟨a, b | aaa=1, abaaabb=1⟩φ(a) = aaaaaa, φ(b) = a
107241⟨a, b | aaa=1, abaabab=1⟩φ(a) = aaaaaa, φ(b) = a
107242⟨a, b | aaa=1, abaabba=1⟩φ(a) = aaaaaa, φ(b) = a
107244⟨a, b | aaa=1, ababaab=1⟩φ(a) = aaaaaa, φ(b) = a
107245⟨a, b | aaa=1, abababa=1⟩φ(a) = aaaaaa, φ(b) = a
107250⟨a, b | aaa=1, abbaaab=1⟩φ(a) = aaaaaa, φ(b) = a
107261⟨a, b | aaa=1, baaaabb=1⟩φ(a) = aaaaaa, φ(b) = a
107262⟨a, b | aaa=1, baaabab=1⟩φ(a) = aaaaaa, φ(b) = a
107264⟨a, b | aaa=1, baabaab=1⟩φ(a) = aaaaaa, φ(b) = a
107494⟨a, b | aaa=1, aaabbb=a⟩φ(a) = aaa, φ(b) = a
107500⟨a, b | aaa=1, aababb=a⟩φ(a) = aaa, φ(b) = a
107504⟨a, b | aaa=1, aabbab=a⟩φ(a) = aaa, φ(b) = a
107506⟨a, b | aaa=1, aabbba=a⟩φ(a) = aaa, φ(b) = a
107514⟨a, b | aaa=1, abaabb=a⟩φ(a) = aaa, φ(b) = a
107516⟨a, b | aaa=1, ababab=a⟩φ(a) = aaa, φ(b) = a
107518⟨a, b | aaa=1, ababba=a⟩φ(a) = aaa, φ(b) = a
107522⟨a, b | aaa=1, abbaab=a⟩φ(a) = aaa, φ(b) = a
107534⟨a, b | aaa=1, baaabb=a⟩φ(a) = aaa, φ(b) = a
107536⟨a, b | aaa=1, baabab=a⟩φ(a) = aaa, φ(b) = a
107827⟨a, b | aab=1, aaaaa=bb⟩φ(a) = aaaa, φ(b) = a
107884⟨a, b | aab=1, abbbb=aa⟩φ(a) = aaaa, φ(b) = a
107916⟨a, b | aab=1, babbb=aa⟩φ(a) = aaaa, φ(b) = a
107932⟨a, b | aab=1, bbabb=aa⟩φ(a) = aaaa, φ(b) = a
107940⟨a, b | aab=1, bbbab=aa⟩φ(a) = aaaa, φ(b) = a
107944⟨a, b | aab=1, bbbba=aa⟩φ(a) = aaaa, φ(b) = a
107949⟨a, b | aab=1, bbbbb=ab⟩φ(a) = aaaa, φ(b) = a
107950⟨a, b | aab=1, bbbbb=ba⟩φ(a) = aaaa, φ(b) = a
107954⟨a, b | aba=1, aaaaa=bb⟩φ(a) = aaaa, φ(b) = a
108000⟨a, b | aba=1, abbbb=aa⟩φ(a) = aaaa, φ(b) = a
108014⟨a, b | aba=1, babbb=aa⟩φ(a) = aaaa, φ(b) = a
108018⟨a, b | aba=1, bbabb=aa⟩φ(a) = aaaa, φ(b) = a
108022⟨a, b | aba=1, bbbbb=ab⟩φ(a) = aaaa, φ(b) = a
108029⟨a, b | aaa=1, aaaa=bbb⟩φ(a) = aaa, φ(b) = a
108068⟨a, b | aaa=1, abbb=aaa⟩φ(a) = aaaaaa, φ(b) = a
108082⟨a, b | aaa=1, babb=aaa⟩φ(a) = aaaaaa, φ(b) = a
108371⟨a, b | aa=b, aaaaabb=1⟩φ(a) = aaaaa, φ(b) = a
108373⟨a, b | aa=b, aaaabab=1⟩φ(a) = aaaaa, φ(b) = a
108374⟨a, b | aa=b, aaaabba=1⟩φ(a) = aaaaa, φ(b) = a
108377⟨a, b | aa=b, aaabaab=1⟩φ(a) = aaaaa, φ(b) = a
108378⟨a, b | aa=b, aaababa=1⟩φ(a) = aaaaa, φ(b) = a
108380⟨a, b | aa=b, aaabbaa=1⟩φ(a) = aaaaa, φ(b) = a
108384⟨a, b | aa=b, aabaaab=1⟩φ(a) = aaaaa, φ(b) = a
108385⟨a, b | aa=b, aabaaba=1⟩φ(a) = aaaaa, φ(b) = a
108387⟨a, b | aa=b, aababaa=1⟩φ(a) = aaaaa, φ(b) = a
108398⟨a, b | aa=b, abaaaab=1⟩φ(a) = aaaaa, φ(b) = a
108399⟨a, b | aa=b, abaaaba=1⟩φ(a) = aaaaa, φ(b) = a
108420⟨a, b | aa=b, baaaaab=1⟩φ(a) = aaaaa, φ(b) = a
1110637⟨a, b | aaaa=abb, aaab=1⟩φ(a) = a, φ(b) = aaaaaa
1110638⟨a, b | aaaa=abb, aaba=1⟩φ(a) = a, φ(b) = aaaaaa
1110640⟨a, b | aaaa=abb, abaa=1⟩φ(a) = a, φ(b) = aaaaaa
1110644⟨a, b | aaaa=abb, baaa=1⟩φ(a) = a, φ(b) = aaaaaa
1110652⟨a, b | aaaa=bab, aaab=1⟩φ(a) = a, φ(b) = aaaaaa
1110653⟨a, b | aaaa=bab, aaba=1⟩φ(a) = a, φ(b) = aaaaaa
1110768⟨a, b | aaab=bbb, aaba=1⟩φ(a) = a, φ(b) = aaaaaa
1110770⟨a, b | aaab=bbb, abaa=1⟩φ(a) = a, φ(b) = aaaaaa
1110774⟨a, b | aaab=bbb, baaa=1⟩φ(a) = a, φ(b) = aaaaaa
1110874⟨a, b | aaba=bbb, abaa=1⟩φ(a) = a, φ(b) = aaaaaa
1110878⟨a, b | aaba=bbb, baaa=1⟩φ(a) = a, φ(b) = aaaaaa
1110953⟨a, b | abaa=bbb, baaa=1⟩φ(a) = a, φ(b) = aaaaaa
1111115⟨a, b | aaaaa=b, aaaab=1⟩φ(a) = aa, φ(b) = a
1111116⟨a, b | aaaaa=b, aaaba=1⟩φ(a) = aa, φ(b) = a
1111118⟨a, b | aaaaa=b, aabaa=1⟩φ(a) = aa, φ(b) = a
1111643⟨a, b | aaaa=ab, aaabb=1⟩φ(a) = a, φ(b) = aaa
1111645⟨a, b | aaaa=ab, aabab=1⟩φ(a) = a, φ(b) = aaa
1111646⟨a, b | aaaa=ab, aabba=1⟩φ(a) = a, φ(b) = aaa
1111649⟨a, b | aaaa=ab, abaab=1⟩φ(a) = a, φ(b) = aaa
1111650⟨a, b | aaaa=ab, ababa=1⟩φ(a) = a, φ(b) = aaa
1111652⟨a, b | aaaa=ab, abbaa=1⟩φ(a) = a, φ(b) = aaa
1111657⟨a, b | aaaa=ab, baaab=1⟩φ(a) = a, φ(b) = aaa
1111658⟨a, b | aaaa=ab, baaba=1⟩φ(a) = a, φ(b) = aaa
1111660⟨a, b | aaaa=ab, babaa=1⟩φ(a) = a, φ(b) = aaa
1111664⟨a, b | aaaa=ab, bbaaa=1⟩φ(a) = a, φ(b) = aaa
1111791⟨a, b | aaab=bb, aaabb=1⟩φ(a) = a, φ(b) = aaa
1111793⟨a, b | aaab=bb, aabab=1⟩φ(a) = a, φ(b) = aaa
1111794⟨a, b | aaab=bb, aabba=1⟩φ(a) = a, φ(b) = aaa
1111797⟨a, b | aaab=bb, abaab=1⟩φ(a) = a, φ(b) = aaa
1111798⟨a, b | aaab=bb, ababa=1⟩φ(a) = a, φ(b) = aaa
1111800⟨a, b | aaab=bb, abbaa=1⟩φ(a) = a, φ(b) = aaa
1111805⟨a, b | aaab=bb, baaab=1⟩φ(a) = a, φ(b) = aaa
1111806⟨a, b | aaab=bb, baaba=1⟩φ(a) = a, φ(b) = aaa
1111808⟨a, b | aaab=bb, babaa=1⟩φ(a) = a, φ(b) = aaa
1111812⟨a, b | aaab=bb, bbaaa=1⟩φ(a) = a, φ(b) = aaa
1111919⟨a, b | aaba=bb, aaabb=1⟩φ(a) = a, φ(b) = aaa
1111921⟨a, b | aaba=bb, aabab=1⟩φ(a) = a, φ(b) = aaa
1111922⟨a, b | aaba=bb, aabba=1⟩φ(a) = a, φ(b) = aaa
1111925⟨a, b | aaba=bb, abaab=1⟩φ(a) = a, φ(b) = aaa
1111926⟨a, b | aaba=bb, ababa=1⟩φ(a) = a, φ(b) = aaa
1111928⟨a, b | aaba=bb, abbaa=1⟩φ(a) = a, φ(b) = aaa
1111933⟨a, b | aaba=bb, baaab=1⟩φ(a) = a, φ(b) = aaa
1111934⟨a, b | aaba=bb, baaba=1⟩φ(a) = a, φ(b) = aaa
1111936⟨a, b | aaba=bb, babaa=1⟩φ(a) = a, φ(b) = aaa
1111940⟨a, b | aaba=bb, bbaaa=1⟩φ(a) = a, φ(b) = aaa
1113316⟨a, b | aaaab=1, aaabbb=1⟩φ(a) = aa, φ(b) = a
1113320⟨a, b | aaaab=1, aababb=1⟩φ(a) = aa, φ(b) = a
1113322⟨a, b | aaaab=1, aabbab=1⟩φ(a) = aa, φ(b) = a
1113323⟨a, b | aaaab=1, aabbba=1⟩φ(a) = aa, φ(b) = a
1113328⟨a, b | aaaab=1, abaabb=1⟩φ(a) = aa, φ(b) = a
1113330⟨a, b | aaaab=1, ababab=1⟩φ(a) = aa, φ(b) = a
1113331⟨a, b | aaaab=1, ababba=1⟩φ(a) = aa, φ(b) = a
1113334⟨a, b | aaaab=1, abbaab=1⟩φ(a) = aa, φ(b) = a
1113335⟨a, b | aaaab=1, abbaba=1⟩φ(a) = aa, φ(b) = a
1113337⟨a, b | aaaab=1, abbbaa=1⟩φ(a) = aa, φ(b) = a
1113344⟨a, b | aaaab=1, baaabb=1⟩φ(a) = aa, φ(b) = a
1113346⟨a, b | aaaab=1, baabab=1⟩φ(a) = aa, φ(b) = a
1113347⟨a, b | aaaab=1, baabba=1⟩φ(a) = aa, φ(b) = a
1113350⟨a, b | aaaab=1, babaab=1⟩φ(a) = aa, φ(b) = a
1113351⟨a, b | aaaab=1, bababa=1⟩φ(a) = aa, φ(b) = a
1113353⟨a, b | aaaab=1, babbaa=1⟩φ(a) = aa, φ(b) = a
1113358⟨a, b | aaaab=1, bbaaab=1⟩φ(a) = aa, φ(b) = a
1113359⟨a, b | aaaab=1, bbaaba=1⟩φ(a) = aa, φ(b) = a
1113361⟨a, b | aaaab=1, bbabaa=1⟩φ(a) = aa, φ(b) = a
1113365⟨a, b | aaaab=1, bbbaaa=1⟩φ(a) = aa, φ(b) = a
1113380⟨a, b | aaaba=1, aaabbb=1⟩φ(a) = aa, φ(b) = a
1113384⟨a, b | aaaba=1, aababb=1⟩φ(a) = aa, φ(b) = a
1113386⟨a, b | aaaba=1, aabbab=1⟩φ(a) = aa, φ(b) = a
1113387⟨a, b | aaaba=1, aabbba=1⟩φ(a) = aa, φ(b) = a
1113392⟨a, b | aaaba=1, abaabb=1⟩φ(a) = aa, φ(b) = a
1113394⟨a, b | aaaba=1, ababab=1⟩φ(a) = aa, φ(b) = a
1113395⟨a, b | aaaba=1, ababba=1⟩φ(a) = aa, φ(b) = a
1113398⟨a, b | aaaba=1, abbaab=1⟩φ(a) = aa, φ(b) = a
1113399⟨a, b | aaaba=1, abbaba=1⟩φ(a) = aa, φ(b) = a
1113401⟨a, b | aaaba=1, abbbaa=1⟩φ(a) = aa, φ(b) = a
1113408⟨a, b | aaaba=1, baaabb=1⟩φ(a) = aa, φ(b) = a
1113410⟨a, b | aaaba=1, baabab=1⟩φ(a) = aa, φ(b) = a
1113411⟨a, b | aaaba=1, baabba=1⟩φ(a) = aa, φ(b) = a
1113414⟨a, b | aaaba=1, babaab=1⟩φ(a) = aa, φ(b) = a
1113415⟨a, b | aaaba=1, bababa=1⟩φ(a) = aa, φ(b) = a
1113417⟨a, b | aaaba=1, babbaa=1⟩φ(a) = aa, φ(b) = a
1113422⟨a, b | aaaba=1, bbaaab=1⟩φ(a) = aa, φ(b) = a
1113423⟨a, b | aaaba=1, bbaaba=1⟩φ(a) = aa, φ(b) = a
1113425⟨a, b | aaaba=1, bbabaa=1⟩φ(a) = aa, φ(b) = a
1113429⟨a, b | aaaba=1, bbbaaa=1⟩φ(a) = aa, φ(b) = a
1113508⟨a, b | aabaa=1, aaabbb=1⟩φ(a) = aa, φ(b) = a
1113511⟨a, b | aabaa=1, aababb=1⟩φ(a) = aa, φ(b) = a
1113513⟨a, b | aabaa=1, aabbab=1⟩φ(a) = aa, φ(b) = a
1113514⟨a, b | aabaa=1, aabbba=1⟩φ(a) = aa, φ(b) = a
1113518⟨a, b | aabaa=1, abaabb=1⟩φ(a) = aa, φ(b) = a
1113519⟨a, b | aabaa=1, ababab=1⟩φ(a) = aa, φ(b) = a
1113520⟨a, b | aabaa=1, ababba=1⟩φ(a) = aa, φ(b) = a
1113522⟨a, b | aabaa=1, abbaab=1⟩φ(a) = aa, φ(b) = a
1113528⟨a, b | aabaa=1, baaabb=1⟩φ(a) = aa, φ(b) = a
1113529⟨a, b | aabaa=1, baabab=1⟩φ(a) = aa, φ(b) = a
1113838⟨a, b | aaaa=b, aaaaab=1⟩φ(a) = aaaaaaa, φ(b) = a
1113839⟨a, b | aaaa=b, aaaaba=1⟩φ(a) = aaaaaaa, φ(b) = a
1113841⟨a, b | aaaa=b, aaabaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1113904⟨a, b | aaab=a, abbbbb=1⟩φ(a) = aaaa, φ(b) = a
1113920⟨a, b | aaab=a, babbbb=1⟩φ(a) = aaaa, φ(b) = a
1113928⟨a, b | aaab=a, bbabbb=1⟩φ(a) = aaaa, φ(b) = a
1113932⟨a, b | aaab=a, bbbabb=1⟩φ(a) = aaaa, φ(b) = a
1113934⟨a, b | aaab=a, bbbbab=1⟩φ(a) = aaaa, φ(b) = a
1113935⟨a, b | aaab=a, bbbbba=1⟩φ(a) = aaaa, φ(b) = a
1114032⟨a, b | aaba=a, abbbbb=1⟩φ(a) = aaaa, φ(b) = a
1114048⟨a, b | aaba=a, babbbb=1⟩φ(a) = aaaa, φ(b) = a
1114056⟨a, b | aaba=a, bbabbb=1⟩φ(a) = aaaa, φ(b) = a
1114060⟨a, b | aaba=a, bbbabb=1⟩φ(a) = aaaa, φ(b) = a
1114062⟨a, b | aaba=a, bbbbab=1⟩φ(a) = aaaa, φ(b) = a
1114063⟨a, b | aaba=a, bbbbba=1⟩φ(a) = aaaa, φ(b) = a
1114130⟨a, b | aabb=a, aaaaab=1⟩φ(a) = aaaaaaa, φ(b) = a
1114131⟨a, b | aabb=a, aaaaba=1⟩φ(a) = aaaaaaa, φ(b) = a
1114133⟨a, b | aabb=a, aaabaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114137⟨a, b | aabb=a, aabaaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114145⟨a, b | aabb=a, abaaaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114161⟨a, b | aabb=a, baaaaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114194⟨a, b | abab=a, aaaaab=1⟩φ(a) = aaaaaaa, φ(b) = a
1114195⟨a, b | abab=a, aaaaba=1⟩φ(a) = aaaaaaa, φ(b) = a
1114197⟨a, b | abab=a, aaabaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114201⟨a, b | abab=a, aabaaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114209⟨a, b | abab=a, abaaaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114225⟨a, b | abab=a, baaaaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114258⟨a, b | abba=a, aaaaab=1⟩φ(a) = aaaaaaa, φ(b) = a
1114259⟨a, b | abba=a, aaaaba=1⟩φ(a) = aaaaaaa, φ(b) = a
1114261⟨a, b | abba=a, aaabaa=1⟩φ(a) = aaaaaaa, φ(b) = a
1114318⟨a, b | abba=b, abbbbb=1⟩φ(a) = aaaa, φ(b) = a
1114325⟨a, b | abba=b, babbbb=1⟩φ(a) = aaaa, φ(b) = a
1114327⟨a, b | abba=b, bbabbb=1⟩φ(a) = aaaa, φ(b) = a
1114916⟨a, b | aaa=ab, aaabbb=1⟩φ(a) = aaaaa, φ(b) = a
1114920⟨a, b | aaa=ab, aababb=1⟩φ(a) = aaaaa, φ(b) = a
1114922⟨a, b | aaa=ab, aabbab=1⟩φ(a) = aaaaa, φ(b) = a
1114923⟨a, b | aaa=ab, aabbba=1⟩φ(a) = aaaaa, φ(b) = a
1114928⟨a, b | aaa=ab, abaabb=1⟩φ(a) = aaaaa, φ(b) = a
1114930⟨a, b | aaa=ab, ababab=1⟩φ(a) = aaaaa, φ(b) = a
1114931⟨a, b | aaa=ab, ababba=1⟩φ(a) = aaaaa, φ(b) = a
1114934⟨a, b | aaa=ab, abbaab=1⟩φ(a) = aaaaa, φ(b) = a
1114935⟨a, b | aaa=ab, abbaba=1⟩φ(a) = aaaaa, φ(b) = a
1114937⟨a, b | aaa=ab, abbbaa=1⟩φ(a) = aaaaa, φ(b) = a
1114944⟨a, b | aaa=ab, baaabb=1⟩φ(a) = aaaaa, φ(b) = a
1114946⟨a, b | aaa=ab, baabab=1⟩φ(a) = aaaaa, φ(b) = a
1114947⟨a, b | aaa=ab, baabba=1⟩φ(a) = aaaaa, φ(b) = a
1114950⟨a, b | aaa=ab, babaab=1⟩φ(a) = aaaaa, φ(b) = a
1114951⟨a, b | aaa=ab, bababa=1⟩φ(a) = aaaaa, φ(b) = a
1114953⟨a, b | aaa=ab, babbaa=1⟩φ(a) = aaaaa, φ(b) = a
1114958⟨a, b | aaa=ab, bbaaab=1⟩φ(a) = aaaaa, φ(b) = a
1114959⟨a, b | aaa=ab, bbaaba=1⟩φ(a) = aaaaa, φ(b) = a
1114961⟨a, b | aaa=ab, bbabaa=1⟩φ(a) = aaaaa, φ(b) = a
1114965⟨a, b | aaa=ab, bbbaaa=1⟩φ(a) = aaaaa, φ(b) = a
1115208⟨a, b | aab=bb, aaabbb=1⟩φ(a) = aaaaa, φ(b) = a
1115212⟨a, b | aab=bb, aababb=1⟩φ(a) = aaaaa, φ(b) = a
1115214⟨a, b | aab=bb, aabbab=1⟩φ(a) = aaaaa, φ(b) = a
1115215⟨a, b | aab=bb, aabbba=1⟩φ(a) = aaaaa, φ(b) = a
1115220⟨a, b | aab=bb, abaabb=1⟩φ(a) = aaaaa, φ(b) = a
1115222⟨a, b | aab=bb, ababab=1⟩φ(a) = aaaaa, φ(b) = a
1115223⟨a, b | aab=bb, ababba=1⟩φ(a) = aaaaa, φ(b) = a
1115226⟨a, b | aab=bb, abbaab=1⟩φ(a) = aaaaa, φ(b) = a
1115227⟨a, b | aab=bb, abbaba=1⟩φ(a) = aaaaa, φ(b) = a
1115229⟨a, b | aab=bb, abbbaa=1⟩φ(a) = aaaaa, φ(b) = a
1115236⟨a, b | aab=bb, baaabb=1⟩φ(a) = aaaaa, φ(b) = a
1115238⟨a, b | aab=bb, baabab=1⟩φ(a) = aaaaa, φ(b) = a
1115239⟨a, b | aab=bb, baabba=1⟩φ(a) = aaaaa, φ(b) = a
1115242⟨a, b | aab=bb, babaab=1⟩φ(a) = aaaaa, φ(b) = a
1115243⟨a, b | aab=bb, bababa=1⟩φ(a) = aaaaa, φ(b) = a
1115245⟨a, b | aab=bb, babbaa=1⟩φ(a) = aaaaa, φ(b) = a
1115250⟨a, b | aab=bb, bbaaab=1⟩φ(a) = aaaaa, φ(b) = a
1115251⟨a, b | aab=bb, bbaaba=1⟩φ(a) = aaaaa, φ(b) = a
1115253⟨a, b | aab=bb, bbabaa=1⟩φ(a) = aaaaa, φ(b) = a
1115257⟨a, b | aab=bb, bbbaaa=1⟩φ(a) = aaaaa, φ(b) = a
1115375⟨a, b | aba=bb, aababb=1⟩φ(a) = aaaaa, φ(b) = a
1115377⟨a, b | aba=bb, aabbab=1⟩φ(a) = aaaaa, φ(b) = a
1115382⟨a, b | aba=bb, abaabb=1⟩φ(a) = aaaaa, φ(b) = a
1115383⟨a, b | aba=bb, ababab=1⟩φ(a) = aaaaa, φ(b) = a
1115384⟨a, b | aba=bb, ababba=1⟩φ(a) = aaaaa, φ(b) = a
1115386⟨a, b | aba=bb, abbaab=1⟩φ(a) = aaaaa, φ(b) = a
1115393⟨a, b | aba=bb, baabab=1⟩φ(a) = aaaaa, φ(b) = a
1116647⟨a, b | aaab=1, aaabbbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116655⟨a, b | aaab=1, aababbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116659⟨a, b | aaab=1, aabbabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116661⟨a, b | aaab=1, aabbbab=1⟩φ(a) = a, φ(b) = aaaaaa
1116662⟨a, b | aaab=1, aabbbba=1⟩φ(a) = a, φ(b) = aaaaaa
1116671⟨a, b | aaab=1, abaabbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116675⟨a, b | aaab=1, abababb=1⟩φ(a) = a, φ(b) = aaaaaa
1116677⟨a, b | aaab=1, ababbab=1⟩φ(a) = a, φ(b) = aaaaaa
1116678⟨a, b | aaab=1, ababbba=1⟩φ(a) = a, φ(b) = aaaaaa
1116683⟨a, b | aaab=1, abbaabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116685⟨a, b | aaab=1, abbabab=1⟩φ(a) = a, φ(b) = aaaaaa
1116686⟨a, b | aaab=1, abbabba=1⟩φ(a) = a, φ(b) = aaaaaa
1116689⟨a, b | aaab=1, abbbaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116690⟨a, b | aaab=1, abbbaba=1⟩φ(a) = a, φ(b) = aaaaaa
1116692⟨a, b | aaab=1, abbbbaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116703⟨a, b | aaab=1, baaabbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116707⟨a, b | aaab=1, baababb=1⟩φ(a) = a, φ(b) = aaaaaa
1116709⟨a, b | aaab=1, baabbab=1⟩φ(a) = a, φ(b) = aaaaaa
1116710⟨a, b | aaab=1, baabbba=1⟩φ(a) = a, φ(b) = aaaaaa
1116715⟨a, b | aaab=1, babaabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116717⟨a, b | aaab=1, bababab=1⟩φ(a) = a, φ(b) = aaaaaa
1116718⟨a, b | aaab=1, bababba=1⟩φ(a) = a, φ(b) = aaaaaa
1116721⟨a, b | aaab=1, babbaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116722⟨a, b | aaab=1, babbaba=1⟩φ(a) = a, φ(b) = aaaaaa
1116724⟨a, b | aaab=1, babbbaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116731⟨a, b | aaab=1, bbaaabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116733⟨a, b | aaab=1, bbaabab=1⟩φ(a) = a, φ(b) = aaaaaa
1116734⟨a, b | aaab=1, bbaabba=1⟩φ(a) = a, φ(b) = aaaaaa
1116737⟨a, b | aaab=1, bbabaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116738⟨a, b | aaab=1, bbababa=1⟩φ(a) = a, φ(b) = aaaaaa
1116740⟨a, b | aaab=1, bbabbaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116745⟨a, b | aaab=1, bbbaaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116746⟨a, b | aaab=1, bbbaaba=1⟩φ(a) = a, φ(b) = aaaaaa
1116748⟨a, b | aaab=1, bbbabaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116752⟨a, b | aaab=1, bbbbaaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116775⟨a, b | aaba=1, aaabbbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116783⟨a, b | aaba=1, aababbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116787⟨a, b | aaba=1, aabbabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116789⟨a, b | aaba=1, aabbbab=1⟩φ(a) = a, φ(b) = aaaaaa
1116790⟨a, b | aaba=1, aabbbba=1⟩φ(a) = a, φ(b) = aaaaaa
1116799⟨a, b | aaba=1, abaabbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116803⟨a, b | aaba=1, abababb=1⟩φ(a) = a, φ(b) = aaaaaa
1116805⟨a, b | aaba=1, ababbab=1⟩φ(a) = a, φ(b) = aaaaaa
1116806⟨a, b | aaba=1, ababbba=1⟩φ(a) = a, φ(b) = aaaaaa
1116811⟨a, b | aaba=1, abbaabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116813⟨a, b | aaba=1, abbabab=1⟩φ(a) = a, φ(b) = aaaaaa
1116814⟨a, b | aaba=1, abbabba=1⟩φ(a) = a, φ(b) = aaaaaa
1116817⟨a, b | aaba=1, abbbaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116818⟨a, b | aaba=1, abbbaba=1⟩φ(a) = a, φ(b) = aaaaaa
1116820⟨a, b | aaba=1, abbbbaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116831⟨a, b | aaba=1, baaabbb=1⟩φ(a) = a, φ(b) = aaaaaa
1116835⟨a, b | aaba=1, baababb=1⟩φ(a) = a, φ(b) = aaaaaa
1116837⟨a, b | aaba=1, baabbab=1⟩φ(a) = a, φ(b) = aaaaaa
1116838⟨a, b | aaba=1, baabbba=1⟩φ(a) = a, φ(b) = aaaaaa
1116843⟨a, b | aaba=1, babaabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116845⟨a, b | aaba=1, bababab=1⟩φ(a) = a, φ(b) = aaaaaa
1116846⟨a, b | aaba=1, bababba=1⟩φ(a) = a, φ(b) = aaaaaa
1116849⟨a, b | aaba=1, babbaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116850⟨a, b | aaba=1, babbaba=1⟩φ(a) = a, φ(b) = aaaaaa
1116852⟨a, b | aaba=1, babbbaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116859⟨a, b | aaba=1, bbaaabb=1⟩φ(a) = a, φ(b) = aaaaaa
1116861⟨a, b | aaba=1, bbaabab=1⟩φ(a) = a, φ(b) = aaaaaa
1116862⟨a, b | aaba=1, bbaabba=1⟩φ(a) = a, φ(b) = aaaaaa
1116865⟨a, b | aaba=1, bbabaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116866⟨a, b | aaba=1, bbababa=1⟩φ(a) = a, φ(b) = aaaaaa
1116868⟨a, b | aaba=1, bbabbaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116873⟨a, b | aaba=1, bbbaaab=1⟩φ(a) = a, φ(b) = aaaaaa
1116874⟨a, b | aaba=1, bbbaaba=1⟩φ(a) = a, φ(b) = aaaaaa
1116876⟨a, b | aaba=1, bbbabaa=1⟩φ(a) = a, φ(b) = aaaaaa
1116880⟨a, b | aaba=1, bbbbaaa=1⟩φ(a) = a, φ(b) = aaaaaa
1117161⟨a, b | aaab=1, aaaaaa=b⟩φ(a) = a, φ(b) = aaaaaa
1117289⟨a, b | aaba=1, aaaaaa=b⟩φ(a) = a, φ(b) = aaaaaa
1117716⟨a, b | aaab=1, aabbb=aa⟩φ(a) = a, φ(b) = aaaaaa
1117732⟨a, b | aaab=1, ababb=aa⟩φ(a) = a, φ(b) = aaaaaa
1117740⟨a, b | aaab=1, abbab=aa⟩φ(a) = a, φ(b) = aaaaaa
1117744⟨a, b | aaab=1, abbba=aa⟩φ(a) = a, φ(b) = aaaaaa
1117749⟨a, b | aaab=1, abbbb=ab⟩φ(a) = a, φ(b) = aaaaaa
1117750⟨a, b | aaab=1, abbbb=ba⟩φ(a) = a, φ(b) = aaaaaa
1117764⟨a, b | aaab=1, baabb=aa⟩φ(a) = a, φ(b) = aaaaaa
1117772⟨a, b | aaab=1, babab=aa⟩φ(a) = a, φ(b) = aaaaaa
1117776⟨a, b | aaab=1, babba=aa⟩φ(a) = a, φ(b) = aaaaaa
1117781⟨a, b | aaab=1, babbb=ab⟩φ(a) = a, φ(b) = aaaaaa
1117782⟨a, b | aaab=1, babbb=ba⟩φ(a) = a, φ(b) = aaaaaa
1117788⟨a, b | aaab=1, bbaab=aa⟩φ(a) = a, φ(b) = aaaaaa
1117792⟨a, b | aaab=1, bbaba=aa⟩φ(a) = a, φ(b) = aaaaaa
1117797⟨a, b | aaab=1, bbabb=ab⟩φ(a) = a, φ(b) = aaaaaa
1117798⟨a, b | aaab=1, bbabb=ba⟩φ(a) = a, φ(b) = aaaaaa
1117800⟨a, b | aaab=1, bbbaa=aa⟩φ(a) = a, φ(b) = aaaaaa
1117805⟨a, b | aaab=1, bbbab=ab⟩φ(a) = a, φ(b) = aaaaaa
1117806⟨a, b | aaab=1, bbbab=ba⟩φ(a) = a, φ(b) = aaaaaa
1117809⟨a, b | aaab=1, bbbba=ab⟩φ(a) = a, φ(b) = aaaaaa
1117810⟨a, b | aaab=1, bbbba=ba⟩φ(a) = a, φ(b) = aaaaaa
1117815⟨a, b | aaab=1, bbbbb=bb⟩φ(a) = a, φ(b) = aaaaaa
1117844⟨a, b | aaba=1, aabbb=aa⟩φ(a) = a, φ(b) = aaaaaa
1117860⟨a, b | aaba=1, ababb=aa⟩φ(a) = a, φ(b) = aaaaaa
1117868⟨a, b | aaba=1, abbab=aa⟩φ(a) = a, φ(b) = aaaaaa
1117872⟨a, b | aaba=1, abbba=aa⟩φ(a) = a, φ(b) = aaaaaa
1117877⟨a, b | aaba=1, abbbb=ab⟩φ(a) = a, φ(b) = aaaaaa
1117878⟨a, b | aaba=1, abbbb=ba⟩φ(a) = a, φ(b) = aaaaaa
1117892⟨a, b | aaba=1, baabb=aa⟩φ(a) = a, φ(b) = aaaaaa
1117900⟨a, b | aaba=1, babab=aa⟩φ(a) = a, φ(b) = aaaaaa
1117904⟨a, b | aaba=1, babba=aa⟩φ(a) = a, φ(b) = aaaaaa
1117909⟨a, b | aaba=1, babbb=ab⟩φ(a) = a, φ(b) = aaaaaa
1117910⟨a, b | aaba=1, babbb=ba⟩φ(a) = a, φ(b) = aaaaaa
1117916⟨a, b | aaba=1, bbaab=aa⟩φ(a) = a, φ(b) = aaaaaa
1117920⟨a, b | aaba=1, bbaba=aa⟩φ(a) = a, φ(b) = aaaaaa
1117925⟨a, b | aaba=1, bbabb=ab⟩φ(a) = a, φ(b) = aaaaaa
1117926⟨a, b | aaba=1, bbabb=ba⟩φ(a) = a, φ(b) = aaaaaa
1117928⟨a, b | aaba=1, bbbaa=aa⟩φ(a) = a, φ(b) = aaaaaa
1117933⟨a, b | aaba=1, bbbab=ab⟩φ(a) = a, φ(b) = aaaaaa
1117934⟨a, b | aaba=1, bbbab=ba⟩φ(a) = a, φ(b) = aaaaaa
1117937⟨a, b | aaba=1, bbbba=ab⟩φ(a) = a, φ(b) = aaaaaa
1117938⟨a, b | aaba=1, bbbba=ba⟩φ(a) = a, φ(b) = aaaaaa
1117943⟨a, b | aaba=1, bbbbb=bb⟩φ(a) = a, φ(b) = aaaaaa
1118217⟨a, b | aaa=b, aaaaaab=1⟩φ(a) = a, φ(b) = aaa
1118218⟨a, b | aaa=b, aaaaaba=1⟩φ(a) = a, φ(b) = aaa
1118220⟨a, b | aaa=b, aaaabaa=1⟩φ(a) = a, φ(b) = aaa
1118224⟨a, b | aaa=b, aaabaaa=1⟩φ(a) = a, φ(b) = aaa
1121127⟨a, b | aaa=1, aaaaabbb=1⟩φ(a) = aaa, φ(b) = a
1121131⟨a, b | aaa=1, aaaababb=1⟩φ(a) = aaa, φ(b) = a
1121133⟨a, b | aaa=1, aaaabbab=1⟩φ(a) = aaa, φ(b) = a
1121134⟨a, b | aaa=1, aaaabbba=1⟩φ(a) = aaa, φ(b) = a
1121138⟨a, b | aaa=1, aaabaabb=1⟩φ(a) = aaa, φ(b) = a
1121140⟨a, b | aaa=1, aaababab=1⟩φ(a) = aaa, φ(b) = a
1121141⟨a, b | aaa=1, aaababba=1⟩φ(a) = aaa, φ(b) = a
1121144⟨a, b | aaa=1, aaabbaab=1⟩φ(a) = aaa, φ(b) = a
1121145⟨a, b | aaa=1, aaabbaba=1⟩φ(a) = aaa, φ(b) = a
1121147⟨a, b | aaa=1, aaabbbaa=1⟩φ(a) = aaa, φ(b) = a
1121153⟨a, b | aaa=1, aabaaabb=1⟩φ(a) = aaa, φ(b) = a
1121155⟨a, b | aaa=1, aabaabab=1⟩φ(a) = aaa, φ(b) = a
1121156⟨a, b | aaa=1, aabaabba=1⟩φ(a) = aaa, φ(b) = a
1121158⟨a, b | aaa=1, aababaab=1⟩φ(a) = aaa, φ(b) = a
1121159⟨a, b | aaa=1, aabababa=1⟩φ(a) = aaa, φ(b) = a
1121161⟨a, b | aaa=1, aababbaa=1⟩φ(a) = aaa, φ(b) = a
1121165⟨a, b | aaa=1, aabbaaab=1⟩φ(a) = aaa, φ(b) = a
1121166⟨a, b | aaa=1, aabbaaba=1⟩φ(a) = aaa, φ(b) = a
1121180⟨a, b | aaa=1, abaaaabb=1⟩φ(a) = aaa, φ(b) = a
1121181⟨a, b | aaa=1, abaaabab=1⟩φ(a) = aaa, φ(b) = a
1121182⟨a, b | aaa=1, abaaabba=1⟩φ(a) = aaa, φ(b) = a
1121184⟨a, b | aaa=1, abaabaab=1⟩φ(a) = aaa, φ(b) = a
1121185⟨a, b | aaa=1, abaababa=1⟩φ(a) = aaa, φ(b) = a
1121190⟨a, b | aaa=1, ababaaab=1⟩φ(a) = aaa, φ(b) = a
1121201⟨a, b | aaa=1, abbaaaab=1⟩φ(a) = aaa, φ(b) = a
1121221⟨a, b | aaa=1, baaaaabb=1⟩φ(a) = aaa, φ(b) = a
1121222⟨a, b | aaa=1, baaaabab=1⟩φ(a) = aaa, φ(b) = a
1121224⟨a, b | aaa=1, baaabaab=1⟩φ(a) = aaa, φ(b) = a
1121793⟨a, b | aab=1, aaaaaaa=b⟩φ(a) = aaaa, φ(b) = a
1121854⟨a, b | aab=1, aabbbbb=a⟩φ(a) = aaaa, φ(b) = a
1121886⟨a, b | aab=1, ababbbb=a⟩φ(a) = aaaa, φ(b) = a
1121902⟨a, b | aab=1, abbabbb=a⟩φ(a) = aaaa, φ(b) = a
1121910⟨a, b | aab=1, abbbabb=a⟩φ(a) = aaaa, φ(b) = a
1121914⟨a, b | aab=1, abbbbab=a⟩φ(a) = aaaa, φ(b) = a
1121916⟨a, b | aab=1, abbbbba=a⟩φ(a) = aaaa, φ(b) = a
1121919⟨a, b | aab=1, abbbbbb=b⟩φ(a) = aaaa, φ(b) = a
1121950⟨a, b | aab=1, baabbbb=a⟩φ(a) = aaaa, φ(b) = a
1121966⟨a, b | aab=1, bababbb=a⟩φ(a) = aaaa, φ(b) = a
1121974⟨a, b | aab=1, babbabb=a⟩φ(a) = aaaa, φ(b) = a
1121978⟨a, b | aab=1, babbbab=a⟩φ(a) = aaaa, φ(b) = a
1121980⟨a, b | aab=1, babbbba=a⟩φ(a) = aaaa, φ(b) = a
1121983⟨a, b | aab=1, babbbbb=b⟩φ(a) = aaaa, φ(b) = a
1121998⟨a, b | aab=1, bbaabbb=a⟩φ(a) = aaaa, φ(b) = a
1122006⟨a, b | aab=1, bbababb=a⟩φ(a) = aaaa, φ(b) = a
1122010⟨a, b | aab=1, bbabbab=a⟩φ(a) = aaaa, φ(b) = a
1122012⟨a, b | aab=1, bbabbba=a⟩φ(a) = aaaa, φ(b) = a
1122015⟨a, b | aab=1, bbabbbb=b⟩φ(a) = aaaa, φ(b) = a
1122022⟨a, b | aab=1, bbbaabb=a⟩φ(a) = aaaa, φ(b) = a
1122026⟨a, b | aab=1, bbbabab=a⟩φ(a) = aaaa, φ(b) = a
1122028⟨a, b | aab=1, bbbabba=a⟩φ(a) = aaaa, φ(b) = a
1122031⟨a, b | aab=1, bbbabbb=b⟩φ(a) = aaaa, φ(b) = a
1122034⟨a, b | aab=1, bbbbaab=a⟩φ(a) = aaaa, φ(b) = a
1122036⟨a, b | aab=1, bbbbaba=a⟩φ(a) = aaaa, φ(b) = a
1122039⟨a, b | aab=1, bbbbabb=b⟩φ(a) = aaaa, φ(b) = a
1122040⟨a, b | aab=1, bbbbbaa=a⟩φ(a) = aaaa, φ(b) = a
1122043⟨a, b | aab=1, bbbbbab=b⟩φ(a) = aaaa, φ(b) = a
1122045⟨a, b | aab=1, bbbbbba=b⟩φ(a) = aaaa, φ(b) = a
1122049⟨a, b | aba=1, aaaaaaa=b⟩φ(a) = aaaa, φ(b) = a
1122106⟨a, b | aba=1, aabbbbb=a⟩φ(a) = aaaa, φ(b) = a
1122130⟨a, b | aba=1, ababbbb=a⟩φ(a) = aaaa, φ(b) = a
1122140⟨a, b | aba=1, abbabbb=a⟩φ(a) = aaaa, φ(b) = a
1122144⟨a, b | aba=1, abbbabb=a⟩φ(a) = aaaa, φ(b) = a
1122146⟨a, b | aba=1, abbbbab=a⟩φ(a) = aaaa, φ(b) = a
1122148⟨a, b | aba=1, abbbbba=a⟩φ(a) = aaaa, φ(b) = a
1122151⟨a, b | aba=1, abbbbbb=b⟩φ(a) = aaaa, φ(b) = a
1122166⟨a, b | aba=1, baabbbb=a⟩φ(a) = aaaa, φ(b) = a
1122172⟨a, b | aba=1, bababbb=a⟩φ(a) = aaaa, φ(b) = a
1122174⟨a, b | aba=1, babbabb=a⟩φ(a) = aaaa, φ(b) = a
1122176⟨a, b | aba=1, babbbab=a⟩φ(a) = aaaa, φ(b) = a
1122179⟨a, b | aba=1, babbbbb=b⟩φ(a) = aaaa, φ(b) = a
1122182⟨a, b | aba=1, bbaabbb=a⟩φ(a) = aaaa, φ(b) = a
1122184⟨a, b | aba=1, bbababb=a⟩φ(a) = aaaa, φ(b) = a
1122187⟨a, b | aba=1, bbabbbb=b⟩φ(a) = aaaa, φ(b) = a
1122189⟨a, b | aba=1, bbbabbb=b⟩φ(a) = aaaa, φ(b) = a
1122219⟨a, b | aaa=1, aaabbb=aa⟩φ(a) = aaaaaa, φ(b) = a
1122231⟨a, b | aaa=1, aababb=aa⟩φ(a) = aaaaaa, φ(b) = a
1122238⟨a, b | aaa=1, aabbab=aa⟩φ(a) = aaaaaa, φ(b) = a
1122242⟨a, b | aaa=1, aabbba=aa⟩φ(a) = aaaaaa, φ(b) = a
1122257⟨a, b | aaa=1, abaabb=aa⟩φ(a) = aaaaaa, φ(b) = a
1122261⟨a, b | aaa=1, ababab=aa⟩φ(a) = aaaaaa, φ(b) = a
1122265⟨a, b | aaa=1, ababba=aa⟩φ(a) = aaaaaa, φ(b) = a
1122273⟨a, b | aaa=1, abbaab=aa⟩φ(a) = aaaaaa, φ(b) = a
1122295⟨a, b | aaa=1, baaabb=aa⟩φ(a) = aaaaaa, φ(b) = a
1122299⟨a, b | aaa=1, baabab=aa⟩φ(a) = aaaaaa, φ(b) = a
1122725⟨a, b | aaa=1, aaaaa=bbb⟩φ(a) = aaaaaa, φ(b) = a
1122772⟨a, b | aaa=1, aabbb=aaa⟩φ(a) = aaa, φ(b) = a
1122794⟨a, b | aaa=1, ababb=aaa⟩φ(a) = aaa, φ(b) = a
1122802⟨a, b | aaa=1, abbab=aaa⟩φ(a) = aaa, φ(b) = a
1122810⟨a, b | aaa=1, abbba=aaa⟩φ(a) = aaa, φ(b) = a
1122830⟨a, b | aaa=1, baabb=aaa⟩φ(a) = aaa, φ(b) = a
1122838⟨a, b | aaa=1, babab=aaa⟩φ(a) = aaa, φ(b) = a
1123351⟨a, b | aab=1, abbb=aaaa⟩φ(a) = aaaa, φ(b) = a
1123385⟨a, b | aab=1, babb=aaaa⟩φ(a) = aaaa, φ(b) = a
1123408⟨a, b | aab=1, bbab=aaaa⟩φ(a) = aaaa, φ(b) = a
1123421⟨a, b | aab=1, bbba=aaaa⟩φ(a) = aaaa, φ(b) = a
1123436⟨a, b | aab=1, bbbb=aaab⟩φ(a) = aaaa, φ(b) = a
1123437⟨a, b | aab=1, bbbb=aaba⟩φ(a) = aaaa, φ(b) = a
1123439⟨a, b | aab=1, bbbb=abaa⟩φ(a) = aaaa, φ(b) = a
1123443⟨a, b | aab=1, bbbb=baaa⟩φ(a) = aaaa, φ(b) = a
1123469⟨a, b | aba=1, abbb=aaaa⟩φ(a) = aaaa, φ(b) = a
1123490⟨a, b | aba=1, babb=aaaa⟩φ(a) = aaaa, φ(b) = a
1123508⟨a, b | aba=1, bbbb=aaab⟩φ(a) = aaaa, φ(b) = a
1123509⟨a, b | aba=1, bbbb=aaba⟩φ(a) = aaaa, φ(b) = a
1123653⟨a, b | aa=b, aaaaaaab=1⟩φ(a) = aaaaa, φ(b) = a
1123654⟨a, b | aa=b, aaaaaaba=1⟩φ(a) = aaaaa, φ(b) = a
1123656⟨a, b | aa=b, aaaaabaa=1⟩φ(a) = aaaaa, φ(b) = a
1123660⟨a, b | aa=b, aaaabaaa=1⟩φ(a) = aaaaa, φ(b) = a
1126184⟨a, b | ab=1, aaaaaaaaa=1⟩φ(a) = aaaaaaaa, φ(b) = a
1126713⟨a, b | ab=1, aaaaaaaa=b⟩φ(a) = aaaaaaaa, φ(b) = a
1127243⟨a, b | ab=1, aaaaaaa=bb⟩φ(a) = aaaaaaaa, φ(b) = a
1127775⟨a, b | ab=1, aaaaaa=bbb⟩φ(a) = aaaaaaaa, φ(b) = a
1128311⟨a, b | ab=1, aaaaa=bbbb⟩φ(a) = aaaaaaaa, φ(b) = a