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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2], [2, [2], [2], [2]], [2, [2], [2], [3, 3]] 2/5 2, 8, 160 1, 1, 5 5
\(\downarrow\)
[2, [2], [2], [2]], [2, [2], [2], [2, 3]] 1/2 8, 40 1, 4 4
\(\downarrow\)
[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