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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 4], [2, 2, 2, 5, 2, 2, 2], [5, 2, 2, 2, 2] 6/7 7, 56, 21 7, 14, 7 14
\(\downarrow\)
[2, 3], [2, 2, 5, 2, 2, 2], [5, 2, 2, 2, 2] 1587/1505 5, 43, 21 5, 43, 7 1505
\(\downarrow\)
[2, 2], [2, 5, 2, 2, 2], [5, 2, 2, 2, 2] 54/35 3, 30, 21 1, 5, 7 35
\(\downarrow\)
[2, 2], [2, 5, 2, 2], [4, 2, 2, 2, 2] 147/92 3, 23, 16 1, 23, 8 184
\(\downarrow\)
[2, 2], [2, 5, 2], [3, 2, 2, 2, 2] 75/44 3, 16, 11 1, 8, 11 88
\(\downarrow\)
[2, 2], [2, 5], [2, 2, 2, 2, 2] 2 3, 9, 6 1, 3, 1 3
\(\downarrow\)
[2, 2], [2, 4], [2, 2, 2, 2] 15/7 3, 7, 5 1, 7, 1 7
\(\downarrow\)
[2, 2], [2, 3], [2, 2, 2] 12/5 3, 5, 4 1, 5, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1