Cascade for [4], [2, 2, 2, 2], [2, 2, 2, 2, 5]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[4], [2, 2, 2, 2, 5], [2, 2, 2, 2] 15/7 4, 21, 5 2, 7, 1 14
\(\downarrow\)
[3], [2, 2, 2, 5], [2, 2, 2, 2] 125/51 3, 17, 5 3, 17, 1 51
\(\downarrow\)
[2], [2, 2, 5], [2, 2, 2, 2] 40/13 2, 13, 5 1, 13, 1 13
\(\downarrow\)
[2], [2, 2, 4], [2, 2, 2] 16/5 2, 10, 4 1, 5, 1 5
\(\downarrow\)
[2], [2, 2, 3], [2, 2] 24/7 2, 7, 3 1, 7, 1 7
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1