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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 5], [2, 2, 2, 3, 2, 3, 2, 2, 2], [5, 2] 8/5 9, 90, 9 3, 5, 3 15
\(\downarrow\)
[2, 4], [2, 2, 3, 2, 3, 2, 2, 2], [5, 2] 841/497 7, 71, 9 7, 71, 3 1491
\(\downarrow\)
[2, 3], [2, 3, 2, 3, 2, 2, 2], [5, 2] 121/65 5, 52, 9 5, 26, 3 390
\(\downarrow\)
[2, 2], [3, 2, 3, 2, 2, 2], [5, 2] 25/11 3, 33, 9 1, 11, 3 33
\(\downarrow\)
[2], [2, 2, 3, 2, 2, 2], [5, 2] 50/19 2, 19, 9 1, 19, 3 57
\(\downarrow\)
[2], [2, 2, 3, 2, 2], [4, 2] 96/35 2, 15, 7 1, 5, 7 35
\(\downarrow\)
[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