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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[5, 2, 3], [2, 3, 4, 2, 2], [4, 2, 2, 2, 2, 2, 2] 4/11 22, 44, 22 11, 11, 11 11
\(\downarrow\)
[5, 2, 2], [3, 4, 2, 2], [4, 2, 2, 2, 2, 2, 2] 1922/3861 13, 27, 22 13, 27, 11 3861
\(\downarrow\)
[5, 2], [2, 4, 2, 2], [4, 2, 2, 2, 2, 2, 2] 128/187 9, 17, 22 3, 17, 11 561
\(\downarrow\)
[5, 2], [2, 4, 2], [3, 2, 2, 2, 2, 2, 2] 4/5 9, 12, 15 3, 3, 15 15
\(\downarrow\)
[5, 2], [2, 4], [2, 2, 2, 2, 2, 2, 2] 8/7 9, 7, 8 3, 7, 1 21
\(\downarrow\)
[5, 2], [2, 3], [2, 2, 2, 2, 2, 2] 7/5 9, 5, 7 3, 5, 1 15
\(\downarrow\)
[5, 2], [2, 2], [2, 2, 2, 2, 2] 2 9, 3, 6 3, 1, 1 3
\(\downarrow\)
[4, 2], [2, 2], [2, 2, 2, 2] 15/7 7, 3, 5 7, 1, 1 7
\(\downarrow\)
[3, 2], [2, 2], [2, 2, 2] 12/5 5, 3, 4 5, 1, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1