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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 2, 5, 3], [2, 3, 2, 2, 2, 2, 2, 2, 4], [2, 2, 5, 3] 2/9 36, 72, 36 18, 3, 18 18
\(\downarrow\)
[2, 2, 5, 2], [3, 2, 2, 2, 2, 2, 2, 4], [2, 2, 5, 3] 2809/9729 23, 47, 36 23, 47, 18 19458
\(\downarrow\)
[2, 2, 5], [2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 5, 3] 1369/2925 13, 25, 36 13, 25, 18 5850
\(\downarrow\)
[2, 2, 4], [2, 2, 2, 2, 2, 2, 4], [2, 2, 5, 3] 289/495 10, 22, 36 5, 11, 18 990
\(\downarrow\)
[2, 2, 3], [2, 2, 2, 2, 2, 4], [2, 2, 5, 3] 961/1197 7, 19, 36 7, 19, 18 2394
\(\downarrow\)
[2, 2, 2], [2, 2, 2, 2, 4], [2, 2, 5, 3] 49/36 4, 16, 36 1, 8, 18 72
\(\downarrow\)
[2, 2, 2], [2, 2, 2, 2, 3], [2, 5, 3] 16/11 4, 11, 25 1, 11, 5 55
\(\downarrow\)
[2, 2, 2], [2, 2, 2, 2, 2], [5, 3] 12/7 4, 6, 14 1, 1, 7 7
\(\downarrow\)
[2, 2, 2], [2, 2, 2, 2], [4, 3] 20/11 4, 5, 11 1, 1, 11 11
\(\downarrow\)
[2, 2, 2], [2, 2, 2], [3, 3] 2 4, 4, 8 1, 1, 2 2
\(\downarrow\)
[2, 2, 2], [2, 2], [2, 3] 12/5 4, 3, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1