18 singularity types
| Singularity types | \(K^2\) | Orders of local fundamental groups |
Local indices | Index | Cascade |
|---|---|---|---|---|---|
| [3] | 25/3 | 3 | 3 | 3 | cascade |
| [6] | 32/3 | 6 | 3 | 3 | cascade |
| [2], [2, 5] | 8 | 2, 9 | 1, 3 | 3 | cascade |
| [3], [2, 2, 2] | 16/3 | 3, 4 | 3, 1 | 3 | cascade |
| [2], [2], [2, 4, 2] | 16/3 | 2, 2, 12 | 1, 1, 3 | 3 | cascade |
| [2, 2, 2], [4, 4] | 20/3 | 4, 15 | 1, 3 | 3 | cascade |
| [2], [3], [2, 2, 2, 2] | 10/3 | 2, 3, 5 | 1, 3, 1 | 3 | cascade |
| [2, 2, 2, 2], [2, 5] | 5 | 5, 9 | 1, 3 | 3 | cascade |
| [2], [2, 2, 2], [2, 3, 4] | 4 | 2, 4, 18 | 1, 1, 3 | 3 | cascade |
| [3], [3], [2, 2, 2, 2, 2] | 8/3 | 3, 3, 6 | 3, 3, 1 | 3 | cascade |
| [6], [2, 2, 2, 2, 2, 2] | 14/3 | 6, 7 | 3, 1 | 3 | cascade |
| [2], [6], [2, 2, 2, 2, 2, 2, 2] | 8/3 | 2, 6, 8 | 1, 3, 1 | 3 | cascade |
| [2, 2], [2, 2, 2, 2, 2], [2, 5] | 2 | 3, 6, 9 | 1, 1, 3 | 3 | cascade |
| [2, 2, 2], [2, 2, 2], [4, 2, 4] | 8/3 | 4, 4, 24 | 1, 1, 3 | 3 | cascade |
| [2, 2, 2, 2], [2, 2, 2, 2], [4, 4] | 5/3 | 5, 5, 15 | 1, 1, 3 | 3 | cascade |
| [3], [6], [2, 2, 2, 2, 2, 2, 2, 2] | 2 | 3, 6, 9 | 3, 3, 1 | 3 | cascade |
| [2, 5], [2, 5], [2, 2, 2, 2, 2, 2, 2, 2] | 1 | 9, 9, 9 | 3, 3, 1 | 3 | cascade |
| [6], [6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 4/3 | 6, 6, 12 | 3, 3, 1 | 3 | cascade |