Cascade for [2, 3, 4], [3, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 8, 2]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 3, 4], [2, 2, 2, 8, 2], [3, 2, 2, 2, 2, 2, 2, 2, 3] 1/3 18, 54, 36 3, 9, 2 18
\(\downarrow\)
[2, 3, 3], [2, 2, 8, 2], [3, 2, 2, 2, 2, 2, 2, 2, 3] 225/533 13, 41, 36 13, 41, 2 1066
\(\downarrow\)
[2, 3, 2], [2, 8, 2], [3, 2, 2, 2, 2, 2, 2, 2, 3] 9/14 8, 28, 36 4, 7, 2 28
\(\downarrow\)
[2, 3, 2], [2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 3] 147/190 8, 15, 19 4, 5, 19 380
\(\downarrow\)
[2, 3, 2], [2, 7], [2, 2, 2, 2, 2, 2, 2, 3] 361/442 8, 13, 17 4, 13, 17 884
\(\downarrow\)
[2, 3, 2], [2, 6], [2, 2, 2, 2, 2, 2, 3] 289/330 8, 11, 15 4, 11, 15 660
\(\downarrow\)
[2, 3, 2], [2, 5], [2, 2, 2, 2, 2, 3] 25/26 8, 9, 13 4, 3, 13 156
\(\downarrow\)
[2, 3, 2], [2, 4], [2, 2, 2, 2, 3] 169/154 8, 7, 11 4, 7, 11 308
\(\downarrow\)
[2, 3, 2], [2, 3], [2, 2, 2, 3] 121/90 8, 5, 9 4, 5, 9 180
\(\downarrow\)
[2, 3, 2], [2, 2], [2, 2, 3] 27/14 8, 3, 7 4, 1, 7 28
\(\downarrow\)
[3, 2], [2, 2], [2, 2, 2] 12/5 5, 3, 4 5, 1, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1