| Singularity types | \(K^2\) | Orders of local fundamental groups |
Local indices | Index |
|---|---|---|---|---|
| [22], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 4/11 | 22, 44, 22 | 11, 1, 11 | 11 |
| \(\downarrow\) | ||||
| [21], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 86/231 | 21, 43, 22 | 21, 1, 11 | 231 |
| \(\downarrow\) | ||||
| [20], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 21/55 | 20, 42, 22 | 10, 1, 11 | 110 |
| \(\downarrow\) | ||||
| [19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 82/209 | 19, 41, 22 | 19, 1, 11 | 209 |
| \(\downarrow\) | ||||
| [18], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 40/99 | 18, 40, 22 | 9, 1, 11 | 99 |
| \(\downarrow\) | ||||
| [17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 78/187 | 17, 39, 22 | 17, 1, 11 | 187 |
| \(\downarrow\) | ||||
| [16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 19/44 | 16, 38, 22 | 8, 1, 11 | 88 |
| \(\downarrow\) | ||||
| [15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 74/165 | 15, 37, 22 | 15, 1, 11 | 165 |
| \(\downarrow\) | ||||
| [14], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 36/77 | 14, 36, 22 | 7, 1, 11 | 77 |
| \(\downarrow\) | ||||
| [13], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 70/143 | 13, 35, 22 | 13, 1, 11 | 143 |
| \(\downarrow\) | ||||
| [12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 17/33 | 12, 34, 22 | 6, 1, 11 | 66 |
| \(\downarrow\) | ||||
| [11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 6/11 | 11, 33, 22 | 11, 1, 11 | 11 |
| \(\downarrow\) | ||||
| [10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 32/55 | 10, 32, 22 | 5, 1, 11 | 55 |
| \(\downarrow\) | ||||
| [9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 62/99 | 9, 31, 22 | 9, 1, 11 | 99 |
| \(\downarrow\) | ||||
| [8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 15/22 | 8, 30, 22 | 4, 1, 11 | 44 |
| \(\downarrow\) | ||||
| [7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 58/77 | 7, 29, 22 | 7, 1, 11 | 77 |
| \(\downarrow\) | ||||
| [6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 28/33 | 6, 28, 22 | 3, 1, 11 | 33 |
| \(\downarrow\) | ||||
| [5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 54/55 | 5, 27, 22 | 5, 1, 11 | 55 |
| \(\downarrow\) | ||||
| [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 13/11 | 4, 26, 22 | 2, 1, 11 | 22 |
| \(\downarrow\) | ||||
| [3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 50/33 | 3, 25, 22 | 3, 1, 11 | 33 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22] | 24/11 | 2, 24, 22 | 1, 1, 11 | 11 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [21] | 46/21 | 2, 23, 21 | 1, 1, 21 | 21 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20] | 11/5 | 2, 22, 20 | 1, 1, 10 | 10 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [19] | 42/19 | 2, 21, 19 | 1, 1, 19 | 19 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [18] | 20/9 | 2, 20, 18 | 1, 1, 9 | 9 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [17] | 38/17 | 2, 19, 17 | 1, 1, 17 | 17 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [16] | 9/4 | 2, 18, 16 | 1, 1, 8 | 8 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [15] | 34/15 | 2, 17, 15 | 1, 1, 15 | 15 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [14] | 16/7 | 2, 16, 14 | 1, 1, 7 | 7 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [13] | 30/13 | 2, 15, 13 | 1, 1, 13 | 13 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] | 7/3 | 2, 14, 12 | 1, 1, 6 | 6 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [11] | 26/11 | 2, 13, 11 | 1, 1, 11 | 11 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [10] | 12/5 | 2, 12, 10 | 1, 1, 5 | 5 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [9] | 22/9 | 2, 11, 9 | 1, 1, 9 | 9 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [8] | 5/2 | 2, 10, 8 | 1, 1, 4 | 4 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2, 2], [7] | 18/7 | 2, 9, 7 | 1, 1, 7 | 7 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2, 2], [6] | 8/3 | 2, 8, 6 | 1, 1, 3 | 3 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2, 2], [5] | 14/5 | 2, 7, 5 | 1, 1, 5 | 5 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2, 2], [4] | 3 | 2, 6, 4 | 1, 1, 2 | 2 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2, 2], [3] | 10/3 | 2, 5, 3 | 1, 1, 3 | 3 |
| \(\downarrow\) | ||||
| [2], [2, 2, 2], [2] | 4 | 2, 4, 2 | 1, 1, 1 | 1 |