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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 2, 2, 3], [2, 3, 2, 4], [2, 2, 3, 3] 2/3 9, 27, 18 9, 3, 9 9
\(\downarrow\)
[2, 2, 2, 2], [3, 2, 4], [2, 2, 3, 3] 160/153 5, 17, 18 1, 17, 9 153
\(\downarrow\)
[2, 2, 2], [2, 2, 4], [2, 2, 3, 3] 64/45 4, 10, 18 1, 5, 9 45
\(\downarrow\)
[2, 2, 2], [2, 2, 3], [2, 3, 3] 144/91 4, 7, 13 1, 7, 13 91
\(\downarrow\)
[2, 2, 2], [2, 2, 2], [3, 3] 2 4, 4, 8 1, 1, 2 2
\(\downarrow\)
[2, 2, 2], [2, 2], [2, 3] 12/5 4, 3, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1