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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[3, 2, 3], [2, 3, 2, 2, 2, 3, 2], [3, 5, 2, 2] 4/9 12, 48, 36 2, 3, 18 18
\(\downarrow\)
[3, 2, 2], [3, 2, 2, 2, 3, 2], [3, 5, 2, 2] 1369/1953 7, 31, 36 7, 31, 18 3906
\(\downarrow\)
[3, 2], [2, 2, 2, 2, 3, 2], [3, 5, 2, 2] 841/765 5, 17, 36 5, 17, 18 1530
\(\downarrow\)
[3, 2], [2, 2, 2, 2, 3], [2, 5, 2, 2] 1521/1265 5, 11, 23 5, 11, 23 1265
\(\downarrow\)
[3, 2], [2, 2, 2, 2, 2], [5, 2, 2] 96/65 5, 6, 13 5, 1, 13 65
\(\downarrow\)
[3, 2], [2, 2, 2, 2], [4, 2, 2] 8/5 5, 5, 10 5, 1, 5 5
\(\downarrow\)
[3, 2], [2, 2, 2], [3, 2, 2] 64/35 5, 4, 7 5, 1, 7 35
\(\downarrow\)
[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