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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[5, 3, 2, 2], [4, 2, 3, 2, 3], [2, 4, 2, 2, 2, 2, 2] 1/4 32, 64, 32 4, 16, 8 16
\(\downarrow\)
[5, 3, 2], [3, 2, 3, 2, 3], [2, 4, 2, 2, 2, 2, 2] 125/414 23, 45, 32 23, 9, 8 1656
\(\downarrow\)
[5, 3], [2, 2, 3, 2, 3], [2, 4, 2, 2, 2, 2, 2] 81/182 14, 26, 32 7, 13, 8 728
\(\downarrow\)
[5, 2], [2, 3, 2, 3], [2, 4, 2, 2, 2, 2, 2] 25/38 9, 19, 32 3, 19, 8 456
\(\downarrow\)
[5, 2], [2, 3, 2, 2], [4, 2, 2, 2, 2, 2] 169/209 9, 11, 19 3, 11, 19 627
\(\downarrow\)
[5, 2], [2, 3, 2], [3, 2, 2, 2, 2, 2] 25/26 9, 8, 13 3, 4, 13 156
\(\downarrow\)
[5, 2], [2, 3], [2, 2, 2, 2, 2, 2] 7/5 9, 5, 7 3, 5, 1 15
\(\downarrow\)
[5, 2], [2, 2], [2, 2, 2, 2, 2] 2 9, 3, 6 3, 1, 1 3
\(\downarrow\)
[4, 2], [2, 2], [2, 2, 2, 2] 15/7 7, 3, 5 7, 1, 1 7
\(\downarrow\)
[3, 2], [2, 2], [2, 2, 2] 12/5 5, 3, 4 5, 1, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1