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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2], [2, [2], [2], [2, 2]], [3, [2], [2], [3]] 2/5 2, 12, 60 1, 1, 5 5
\(\downarrow\)
[2, [2], [2], [3]], [2, [2], [2], [2, 2]] 1/2 24, 12 4, 1 4
\(\downarrow\)
[2], [2], [3], [2, [2], [2], [2, 2]] 4/3 2, 2, 3, 12 1, 1, 3, 1 3
\(\downarrow\)
[2], [2], [2], [2, [2], [2], [2]] 2 2, 2, 2, 8 1, 1, 1, 1 1