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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[3], [2, 2, 2, 2, 2, 4, 2, 2], [4, 2, 4] 8/5 3, 45, 24 3, 15, 3 15
\(\downarrow\)
[2], [2, 2, 2, 2, 4, 2, 2], [4, 2, 4] 128/57 2, 38, 24 1, 19, 3 57
\(\downarrow\)
[2], [2, 2, 2, 2, 4, 2], [3, 2, 4] 1058/459 2, 27, 17 1, 27, 17 459
\(\downarrow\)
[2], [2, 2, 2, 2, 4], [2, 2, 4] 49/20 2, 16, 10 1, 8, 5 40
\(\downarrow\)
[2], [2, 2, 2, 2, 3], [2, 4] 200/77 2, 11, 7 1, 11, 7 77
\(\downarrow\)
[2], [2, 2, 2, 2, 2], [4] 3 2, 6, 4 1, 1, 2 2
\(\downarrow\)
[2], [2, 2, 2, 2], [3] 10/3 2, 5, 3 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1