Cascade for [2, 2, 2], [2, 8, 2], [3, 2, 2, 2, 2, 2, 2, 3]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 2, 2], [3, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 8/7 4, 32, 28 1, 2, 7 14
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 192/119 3, 17, 28 1, 17, 7 119
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [8, 2] 9/5 3, 9, 15 1, 1, 5 5
\(\downarrow\)
[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