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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 2, 5], [2, 2, 2, 2, 3, 4], [2, 2, 3, 2, 3] 6/13 13, 39, 26 13, 13, 13 13
\(\downarrow\)
[2, 2, 4], [2, 2, 2, 3, 4], [2, 2, 3, 2, 3] 289/520 10, 32, 26 5, 16, 13 1040
\(\downarrow\)
[2, 2, 3], [2, 2, 3, 4], [2, 2, 3, 2, 3] 1682/2275 7, 25, 26 7, 25, 13 2275
\(\downarrow\)
[2, 2, 2], [2, 3, 4], [2, 2, 3, 2, 3] 16/13 4, 18, 26 1, 3, 13 39
\(\downarrow\)
[2, 2, 2], [2, 3, 3], [2, 3, 2, 3] 324/247 4, 13, 19 1, 13, 19 247
\(\downarrow\)
[2, 2, 2], [2, 3, 2], [3, 2, 3] 3/2 4, 8, 12 1, 4, 2 4
\(\downarrow\)
[2, 2, 2], [2, 3], [2, 2, 3] 64/35 4, 5, 7 1, 5, 7 35
\(\downarrow\)
[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