33 singularity types
| Singularity types | \(K^2\) | Orders of local fundamental groups |
Local indices | Index | Cascade |
|---|---|---|---|---|---|
| [5] | 49/5 | 5 | 5 | 5 | cascade |
| [10] | 72/5 | 10 | 5 | 5 | cascade |
| [2], [2, 3] | 32/5 | 2, 5 | 1, 5 | 5 | cascade |
| [2], [2, 8] | 54/5 | 2, 15 | 1, 5 | 5 | cascade |
| [2, 2], [2, 3] | 27/5 | 3, 5 | 1, 5 | 5 | cascade |
| [2, 2], [3, 7] | 48/5 | 3, 20 | 1, 5 | 5 | cascade |
| [2], [2], [2, 6, 2] | 36/5 | 2, 2, 20 | 1, 1, 5 | 5 | cascade |
| [2], [2, 2], [2, 5, 3] | 6 | 2, 3, 25 | 1, 1, 5 | 5 | cascade |
| [5], [2, 2, 2, 2, 2] | 24/5 | 5, 6 | 5, 1 | 5 | cascade |
| [2], [2, 2, 2], [2, 2, 4] | 16/5 | 2, 4, 10 | 1, 1, 5 | 5 | cascade |
| [2, 2], [2, 2], [3, 4, 3] | 24/5 | 3, 3, 30 | 1, 1, 5 | 5 | cascade |
| [2, 2], [2, 2, 2], [2, 3] | 12/5 | 3, 4, 5 | 1, 1, 5 | 5 | cascade |
| [2, 2, 2, 2, 2], [6, 6] | 42/5 | 6, 35 | 1, 5 | 5 | cascade |
| [2], [5], [2, 2, 2, 2, 2, 2] | 14/5 | 2, 5, 7 | 1, 5, 1 | 5 | cascade |
| [2, 2, 2, 2, 2, 2], [3, 7] | 28/5 | 7, 20 | 1, 5 | 5 | cascade |
| [2, 3], [2, 3], [2, 2, 2, 2] | 9/5 | 5, 5, 5 | 5, 5, 1 | 5 | cascade |
| [2], [2, 2, 2, 2, 2], [2, 4, 6] | 24/5 | 2, 6, 40 | 1, 1, 5 | 5 | cascade |
| [2, 2, 2, 2, 2, 2, 2], [2, 8] | 24/5 | 8, 15 | 1, 5 | 5 | cascade |
| [2, 3], [2, 2, 2, 2], [2, 2, 4] | 8/5 | 5, 5, 10 | 5, 1, 5 | 5 | cascade |
| [2, 2], [2, 2, 2, 2, 2], [3, 3, 6] | 18/5 | 3, 6, 45 | 1, 1, 5 | 5 | cascade |
| [2, 3], [2, 2, 4], [2, 2, 3, 2, 2] | 6/5 | 5, 10, 15 | 5, 5, 5 | 5 | cascade |
| [5], [5], [2, 2, 2, 2, 2, 2, 2, 2, 2] | 8/5 | 5, 5, 10 | 5, 5, 1 | 5 | cascade |
| [10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 22/5 | 10, 11 | 5, 1 | 5 | cascade |
| [2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 8] | 9/5 | 3, 9, 15 | 1, 1, 5 | 5 | cascade |
| [2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [3, 7] | 8/5 | 4, 8, 20 | 1, 1, 5 | 5 | cascade |
| [2], [10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 12/5 | 2, 10, 12 | 1, 5, 1 | 5 | cascade |
| [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [6, 2, 6] | 12/5 | 6, 6, 60 | 1, 1, 5 | 5 | cascade |
| [2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 8] | 6/5 | 5, 10, 15 | 5, 1, 5 | 5 | cascade |
| [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [6, 6] | 7/5 | 7, 7, 35 | 1, 1, 5 | 5 | cascade |
| [2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 7] | 4/5 | 10, 10, 20 | 5, 1, 5 | 5 | cascade |
| [5], [10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 6/5 | 5, 10, 15 | 5, 5, 1 | 5 | cascade |
| [2, 8], [2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 3/5 | 15, 15, 15 | 5, 5, 1 | 5 | cascade |
| [10], [10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 4/5 | 10, 10, 20 | 5, 5, 1 | 5 | cascade |