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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2], [2, 5, 2, 5, 2], [3, 2, 2, 3] 36/7 2, 126, 16 1, 7, 2 14
\(\downarrow\)
[2], [2, 5, 2, 5], [2, 2, 2, 3] 3362/639 2, 71, 9 1, 71, 9 639
\(\downarrow\)
[2], [2, 5, 2, 4], [2, 2, 3] 2048/385 2, 55, 7 1, 55, 7 385
\(\downarrow\)
[2], [2, 5, 2, 3], [2, 3] 1058/195 2, 39, 5 1, 39, 5 195
\(\downarrow\)
[2], [2, 5, 2, 2], [3] 392/69 2, 23, 3 1, 23, 3 69
\(\downarrow\)
[2], [2, 5, 2], [2] 25/4 2, 16, 2 1, 8, 1 8