Cascade for [12], [3, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 8/9 12, 72, 12 6, 18, 2 18
\(\downarrow\)
[11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 675/737 11, 67, 12 11, 67, 2 1474
\(\downarrow\)
[10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 147/155 10, 62, 12 5, 31, 2 310
\(\downarrow\)
[9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 169/171 9, 57, 12 9, 57, 2 342
\(\downarrow\)
[8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 27/26 8, 52, 12 4, 13, 2 52
\(\downarrow\)
[7], [2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 363/329 7, 47, 12 7, 47, 2 658
\(\downarrow\)
[6], [2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 25/21 6, 42, 12 3, 21, 2 42
\(\downarrow\)
[5], [2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 243/185 5, 37, 12 5, 37, 2 370
\(\downarrow\)
[4], [2, 2, 2, 2, 2, 4, 2], [3, 2, 3] 3/2 4, 32, 12 2, 8, 2 8
\(\downarrow\)
[3], [2, 2, 2, 2, 4, 2], [3, 2, 3] 49/27 3, 27, 12 3, 27, 2 54
\(\downarrow\)
[2], [2, 2, 2, 4, 2], [3, 2, 3] 27/11 2, 22, 12 1, 11, 2 22
\(\downarrow\)
[2], [2, 2, 2, 4], [2, 2, 3] 242/91 2, 13, 7 1, 13, 7 91
\(\downarrow\)
[2], [2, 2, 2, 3], [2, 3] 128/45 2, 9, 5 1, 9, 5 45
\(\downarrow\)
[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