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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 2, 3], [2, 2, 7, 2], [3, 2, 2, 2, 2, 2, 3] 5/7 7, 35, 28 7, 7, 2 14
\(\downarrow\)
[2, 2, 2], [2, 7, 2], [3, 2, 2, 2, 2, 2, 3] 7/6 4, 24, 28 1, 12, 2 12
\(\downarrow\)
[2, 2, 2], [2, 7], [2, 2, 2, 2, 2, 2, 3] 256/195 4, 13, 15 1, 13, 15 195
\(\downarrow\)
[2, 2, 2], [2, 6], [2, 2, 2, 2, 2, 3] 196/143 4, 11, 13 1, 11, 13 143
\(\downarrow\)
[2, 2, 2], [2, 5], [2, 2, 2, 2, 3] 16/11 4, 9, 11 1, 3, 11 33
\(\downarrow\)
[2, 2, 2], [2, 4], [2, 2, 2, 3] 100/63 4, 7, 9 1, 7, 9 63
\(\downarrow\)
[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