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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 4, 2], [3, 2, 2, 2, 2, 2, 2, 2, 3], [2, 7, 2] 1/2 12, 36, 24 3, 2, 12 12
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 7, 2] 625/798 7, 19, 24 7, 19, 12 1596
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 2, 2, 2, 3], [2, 7, 2] 529/510 5, 17, 24 5, 17, 12 1020
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 3], [2, 7, 2] 49/30 3, 15, 24 1, 15, 12 60
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2], [7, 2] 24/13 3, 8, 13 1, 1, 13 13
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2], [6, 2] 21/11 3, 7, 11 1, 1, 11 11
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2], [5, 2] 2 3, 6, 9 1, 1, 3 3
\(\downarrow\)
[2, 2], [2, 2, 2, 2], [4, 2] 15/7 3, 5, 7 1, 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2], [3, 2] 12/5 3, 4, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1