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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 2], [2, 2, 2, 3, 2, 2, 2, 3, 3] 1/5 3, 135 1, 5 5
\(\downarrow\)
[2, 2], [2, 2, 2, 3], [2, 2, 3, 3] 2/3 3, 9, 18 1, 9, 9 9
\(\downarrow\)
[2], [2, 2, 2, 3], [2, 2, 2, 3] 8/9 2, 9, 9 1, 9, 9 9
\(\downarrow\)
[2], [2, 2, 2, 2], [2, 2, 3] 10/7 2, 5, 7 1, 1, 7 7
\(\downarrow\)
[2], [2, 2, 2], [2, 2, 2] 2 2, 4, 4 1, 1, 1 1