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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 2, 2], [3, 2, 3], [2, 2, 4, 2, 2] 1/2 4, 12, 24 1, 2, 4 4
\(\downarrow\)
[2, 2], [3, 2, 3], [2, 2, 3, 2, 2] 3/5 3, 12, 15 1, 2, 5 10
\(\downarrow\)
[2, 2], [2, 2, 3], [2, 2, 3, 2] 75/77 3, 7, 11 1, 7, 11 77
\(\downarrow\)
[2], [2, 2, 2, 2], [2, 2, 3] 10/7 2, 5, 7 1, 1, 7 7
\(\downarrow\)
[2], [2, 2, 2], [2, 2, 2] 2 2, 4, 4 1, 1, 1 1