Cascade for [2, 5], [2, 3, 2, 4], [2, 2, 2, 2, 2, 4, 2, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 5], [2, 2, 2, 2, 2, 4, 2, 2], [4, 2, 3, 2] 3/5 9, 45, 27 3, 15, 3 15
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 4, 2, 2], [4, 2, 3, 2] 96/133 7, 38, 27 7, 19, 3 399
\(\downarrow\)
[2, 3], [2, 2, 2, 4, 2, 2], [4, 2, 3, 2] 147/155 5, 31, 27 5, 31, 3 465
\(\downarrow\)
[2, 2], [2, 2, 4, 2, 2], [4, 2, 3, 2] 3/2 3, 24, 27 1, 4, 3 12
\(\downarrow\)
[2, 2], [2, 2, 4, 2], [3, 2, 3, 2] 507/323 3, 17, 19 1, 17, 19 323
\(\downarrow\)
[2, 2], [2, 2, 4], [2, 2, 3, 2] 96/55 3, 10, 11 1, 5, 11 55
\(\downarrow\)
[2, 2], [2, 2, 3], [2, 3, 2] 27/14 3, 7, 8 1, 7, 4 28
\(\downarrow\)
[2, 2], [2, 2, 2], [3, 2] 12/5 3, 4, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1