Cascade for [2, 3], [3, 7], [2, 3, 2, 2, 2, 2, 2, 2, 3, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 3], [2, 3, 2, 2, 2, 2, 2, 2, 3, 2], [3, 7] 4/3 5, 75, 20 5, 3, 5 15
\(\downarrow\)
[2, 2], [3, 2, 2, 2, 2, 2, 2, 3, 2], [3, 7] 432/245 3, 49, 20 1, 49, 5 245
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 3, 2], [3, 7] 144/65 2, 26, 20 1, 13, 5 65
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 3], [2, 7] 512/221 2, 17, 13 1, 17, 13 221
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2], [7] 18/7 2, 9, 7 1, 1, 7 7
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2], [6] 8/3 2, 8, 6 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2], [5] 14/5 2, 7, 5 1, 1, 5 5
\(\downarrow\)
[2], [2, 2, 2, 2, 2], [4] 3 2, 6, 4 1, 1, 2 2
\(\downarrow\)
[2], [2, 2, 2, 2], [3] 10/3 2, 5, 3 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1