Cascade for [2], [4], [2, 2, 2, 8, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2], [2, 8, 2, 2, 2], [4] 25/3 2, 54, 4 1, 9, 2 18
\(\downarrow\)
[2], [2, 8, 2, 2], [3] 1058/123 2, 41, 3 1, 41, 3 123
\(\downarrow\)
[2], [2, 8, 2], [2] 64/7 2, 28, 2 1, 7, 1 7