Cascade for [2, 3], [2, 2, 2, 7], [2, 2, 2, 2, 2, 4, 2, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 3], [2, 2, 4, 2, 2, 2, 2, 2], [7, 2, 2, 2] 1 5, 45, 25 5, 15, 5 15
\(\downarrow\)
[2, 2], [2, 4, 2, 2, 2, 2, 2], [7, 2, 2, 2] 3/2 3, 32, 25 1, 8, 5 40
\(\downarrow\)
[2, 2], [2, 4, 2, 2, 2, 2], [6, 2, 2, 2] 289/189 3, 27, 21 1, 27, 21 189
\(\downarrow\)
[2, 2], [2, 4, 2, 2, 2], [5, 2, 2, 2] 294/187 3, 22, 17 1, 11, 17 187
\(\downarrow\)
[2, 2], [2, 4, 2, 2], [4, 2, 2, 2] 363/221 3, 17, 13 1, 17, 13 221
\(\downarrow\)
[2, 2], [2, 4, 2], [3, 2, 2, 2] 16/9 3, 12, 9 1, 3, 9 9
\(\downarrow\)
[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