Cascade for [2, 5], [2, 4, 2], [2, 2, 2, 2, 2, 2, 3]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 5], [2, 2, 2, 2, 2, 2, 3], [2, 4, 2] 4/5 9, 15, 12 3, 15, 3 15
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 3], [2, 4, 2] 256/273 7, 13, 12 7, 13, 3 273
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 3], [2, 4, 2] 196/165 5, 11, 12 5, 11, 3 165
\(\downarrow\)
[2, 2], [2, 2, 2, 3], [2, 4, 2] 16/9 3, 9, 12 1, 9, 3 9
\(\downarrow\)
[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