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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[3, 3, 3], [2, 3, 2, 4, 2, 2, 2], [5, 2, 2, 2, 2] 3/7 21, 84, 21 7, 14, 7 14
\(\downarrow\)
[3, 3, 2], [3, 2, 4, 2, 2, 2], [5, 2, 2, 2, 2] 2523/4823 13, 53, 21 13, 53, 7 4823
\(\downarrow\)
[3, 3], [2, 2, 4, 2, 2, 2], [5, 2, 2, 2, 2] 150/217 8, 31, 21 2, 31, 7 434
\(\downarrow\)
[3, 2], [2, 4, 2, 2, 2], [5, 2, 2, 2, 2] 384/385 5, 22, 21 5, 11, 7 385
\(\downarrow\)
[3, 2], [2, 4, 2, 2], [4, 2, 2, 2, 2] 361/340 5, 17, 16 5, 17, 8 680
\(\downarrow\)
[3, 2], [2, 4, 2], [3, 2, 2, 2, 2] 196/165 5, 12, 11 5, 3, 11 165
\(\downarrow\)
[3, 2], [2, 4], [2, 2, 2, 2, 2] 54/35 5, 7, 6 5, 7, 1 35
\(\downarrow\)
[3, 2], [2, 3], [2, 2, 2, 2] 9/5 5, 5, 5 5, 5, 1 5
\(\downarrow\)
[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