Cascade for [2, 5, 2], [2, 5, 2], [3, 2, 2, 2, 2, 2, 2, 3]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 5, 2], [3, 2, 2, 2, 2, 2, 2, 3], [2, 5, 2] 1/2 16, 32, 16 8, 2, 8 8
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 2, 2, 2, 3], [2, 5, 2] 49/68 9, 17, 16 3, 17, 8 408
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 3], [2, 5, 2] 361/420 7, 15, 16 7, 15, 8 840
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 2, 3], [2, 5, 2] 289/260 5, 13, 16 5, 13, 8 520
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 3], [2, 5, 2] 75/44 3, 11, 16 1, 11, 8 88
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2], [5, 2] 2 3, 6, 9 1, 1, 3 3
\(\downarrow\)
[2, 2], [2, 2, 2, 2], [4, 2] 15/7 3, 5, 7 1, 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2], [3, 2] 12/5 3, 4, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1