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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[5], [2, 2, 2, 2, 2, 3, 2], [3, 2] 9/5 5, 20, 5 5, 10, 5 10
\(\downarrow\)
[4], [2, 2, 2, 2, 3, 2], [3, 2] 169/85 4, 17, 5 2, 17, 5 170
\(\downarrow\)
[3], [2, 2, 2, 3, 2], [3, 2] 242/105 3, 14, 5 3, 7, 5 105
\(\downarrow\)
[2], [2, 2, 3, 2], [3, 2] 162/55 2, 11, 5 1, 11, 5 55
\(\downarrow\)
[2], [2, 2, 3], [2, 2] 24/7 2, 7, 3 1, 7, 1 7
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1