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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[5, 2], [3, 2, 2, 2, 2, 3, 3, 2, 2], [4, 3, 2] 6/5 9, 135, 18 3, 15, 3 15
\(\downarrow\)
[5], [2, 2, 2, 2, 2, 3, 3, 2, 2], [4, 3, 2] 512/365 5, 73, 18 5, 73, 3 1095
\(\downarrow\)
[4], [2, 2, 2, 2, 3, 3, 2, 2], [4, 3, 2] 49/31 4, 62, 18 2, 31, 3 186
\(\downarrow\)
[3], [2, 2, 2, 3, 3, 2, 2], [4, 3, 2] 32/17 3, 51, 18 3, 51, 3 51
\(\downarrow\)
[2], [2, 2, 3, 3, 2, 2], [4, 3, 2] 5/2 2, 40, 18 1, 4, 3 12
\(\downarrow\)
[2], [2, 2, 3, 3, 2], [3, 3, 2] 968/377 2, 29, 13 1, 29, 13 377
\(\downarrow\)
[2], [2, 2, 3, 3], [2, 3, 2] 49/18 2, 18, 8 1, 9, 4 36
\(\downarrow\)
[2], [2, 2, 3, 2], [3, 2] 162/55 2, 11, 5 1, 11, 5 55
\(\downarrow\)
[2], [2, 2, 3], [2, 2] 24/7 2, 7, 3 1, 7, 1 7
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1