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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 3], [2, 2, 2, 4, 3], [2, 3, 2, 3, 2] 14/15 5, 35, 30 5, 5, 3 15
\(\downarrow\)
[2, 2], [2, 2, 4, 3], [2, 3, 2, 3, 2] 40/27 3, 27, 30 1, 27, 3 27
\(\downarrow\)
[2, 2], [2, 2, 4, 2], [3, 2, 3, 2] 507/323 3, 17, 19 1, 17, 19 323
\(\downarrow\)
[2, 2], [2, 2, 4], [2, 2, 3, 2] 96/55 3, 10, 11 1, 5, 11 55
\(\downarrow\)
[2, 2], [2, 2, 3], [2, 3, 2] 27/14 3, 7, 8 1, 7, 4 28
\(\downarrow\)
[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