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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[3], [2, 2, 2, 2, 2, 3, 2, 2], [4, 4] 5/3 3, 27, 15 3, 9, 3 9
\(\downarrow\)
[2], [2, 2, 2, 2, 3, 2, 2], [4, 4] 160/69 2, 23, 15 1, 23, 3 69
\(\downarrow\)
[2], [2, 2, 2, 2, 3, 2], [3, 4] 450/187 2, 17, 11 1, 17, 11 187
\(\downarrow\)
[2], [2, 2, 2, 2, 3], [2, 4] 200/77 2, 11, 7 1, 11, 7 77
\(\downarrow\)
[2], [2, 2, 2, 2, 2], [4] 3 2, 6, 4 1, 1, 2 2
\(\downarrow\)
[2], [2, 2, 2, 2], [3] 10/3 2, 5, 3 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1