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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[4], [2, [2], [2], [2]], [2, [2], [2], [2]] 1 4, 8, 8 2, 1, 1 2
\(\downarrow\)
[3], [2, 2, 2], [2, [2], [2], [2]] 4/3 3, 4, 8 3, 1, 1 3
\(\downarrow\)
[2], [2], [2], [2, [2], [2], [2]] 2 2, 2, 2, 8 1, 1, 1, 1 1