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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 4, 2, 2, 3], [2, 4, 2, 2, 3], [2, 4, 2, 2, 3] 3/13 39, 39, 39 13, 13, 13 13
\(\downarrow\)
[2, 4, 2, 2, 2], [4, 2, 2, 3], [2, 4, 2, 2, 3] 1176/3289 22, 23, 39 11, 23, 13 3289
\(\downarrow\)
[2, 4, 2, 2], [3, 2, 2, 3], [2, 4, 2, 2, 3] 108/221 17, 16, 39 17, 2, 13 442
\(\downarrow\)
[2, 4, 2], [2, 2, 2, 3], [2, 4, 2, 2, 3] 100/117 12, 9, 39 3, 9, 13 117
\(\downarrow\)
[2, 4, 2], [2, 2, 2, 2], [4, 2, 2, 3] 80/69 12, 5, 23 3, 1, 23 69
\(\downarrow\)
[2, 4, 2], [2, 2, 2], [3, 2, 2, 3] 4/3 12, 4, 16 3, 1, 2 6
\(\downarrow\)
[2, 4, 2], [2, 2], [2, 2, 2, 3] 16/9 12, 3, 9 3, 1, 9 9
\(\downarrow\)
[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