solutions E — fill 3-tile gap
| E-1: | 6 ~ | x ~ | y ~ | z ~ | 7 (mod = | 8) | no solutions |
| E-2: | 4 ~ | 5 ~ | 6 ~ | 0 ~ | 1 (mod = | 7) | M7-S1-A0 |
| E-3: | 5 ~ | 2 ~ | 8 ~ | 5 ~ | 2 (mod = | 9) | M9-S3-A2 |
| E-4: | 5 ~ | x ~ | y ~ | z ~ | 2 (mod = | 10) | no solutions |
| E-5: | 6 ~ | 0 ~ | 4 ~ | 8 ~ | 2 (mod = | 10) | M10-S4-A0 |
| 6 ~ | 5 ~ | 4 ~ | 3 ~ | 2 (mod = | 10) | M10-S1-A0 | |
| E-6: | 5 ~ | 5 ~ | 5 ~ | 5 ~ | 5 (mod = | 6) | M6-S0-A5 |
| 5 ~ | 2 ~ | 5 ~ | 2 ~ | 5 (mod = | 6) | M6-S3-A2 | |
| E-7: | 7 ~ | 7 ~ | 7 ~ | 7 ~ | 7 (mod = | 12) | M12-S0-A7 |
| 7 ~ | 10 ~ | 1 ~ | 4 ~ | 7 (mod = | 12) | M12-S3-A1 | |
| 7 ~ | 1 ~ | 7 ~ | 1 ~ | 7 (mod = | 12) | M12-S6-A1 | |
| 7 ~ | 4 ~ | 1 ~ | 10 ~ | 7 (mod = | 12) | M12-S3-A1 |