Cascade for [2], [2, 2, 2, 2, 2], [2, 2, 3, 2, 5]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2], [2, 2, 2, 2, 2], [2, 2, 3, 2, 5] 1 2, 6, 48 1, 1, 4 4
\(\downarrow\)
[2, 2, 2, 2, 2], [2, 2, 2, 2, 5] 8/7 6, 21 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2], [2, 5] 2 3, 6, 9 1, 1, 3 3
\(\downarrow\)
[2, 2], [2, 2, 2, 2], [2, 4] 15/7 3, 5, 7 1, 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2], [2, 3] 12/5 3, 4, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1