The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
11 total
| Σ | # | Presentation | Mapping |
| 8 | 741 | ⟨a, b | aaa=1, aaba=b⟩ | φ(a) = a, φ(b) = b |
| 9 | 1311 | ⟨a, b | bab=abb, bbb=1⟩ | φ(a) = b, φ(b) = a |
| 9 | 1313 | ⟨a, b | bba=abb, bbb=1⟩ | φ(a) = b, φ(b) = a |
| 10 | 7757 | ⟨a, b | aaa=1, aaaab=ba⟩ | φ(a) = a, φ(b) = b |
| 10 | 7760 | ⟨a, b | aaa=1, aaaba=ab⟩ | φ(a) = a, φ(b) = b |
| 10 | 7768 | ⟨a, b | aaa=1, aabaa=ab⟩ | φ(a) = a, φ(b) = b |
| 11 | 21653 | ⟨a, b | aaa=1, aaaaaba=b⟩ | φ(a) = a, φ(b) = b |
| 11 | 21657 | ⟨a, b | aaa=1, aaaabaa=b⟩ | φ(a) = a, φ(b) = b |
| 11 | 23266 | ⟨a, b | aaa=1, aaba=aaab⟩ | φ(a) = a, φ(b) = b |
| 11 | 23270 | ⟨a, b | aaa=1, abaa=aaab⟩ | φ(a) = a, φ(b) = b |
| 11 | 23271 | ⟨a, b | aaa=1, abaa=aaba⟩ | φ(a) = a, φ(b) = b |