Cascade for [2, 2, 2, 2, 4], [2, 2, 2, 3, 4], [2, 2, 3, 2, 5]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 2, 2, 2, 4], [2, 2, 3, 2, 5], [2, 2, 2, 3, 4] 3/8 16, 48, 32 8, 4, 16 16
\(\downarrow\)
[2, 2, 2, 2, 3], [2, 3, 2, 5], [2, 2, 2, 3, 4] 1521/3080 11, 35, 32 11, 35, 16 6160
\(\downarrow\)
[2, 2, 2, 2, 2], [3, 2, 5], [2, 2, 2, 3, 4] 75/88 6, 22, 32 1, 11, 16 176
\(\downarrow\)
[2, 2, 2, 2], [2, 2, 5], [2, 2, 2, 3, 4] 125/104 5, 13, 32 1, 13, 16 208
\(\downarrow\)
[2, 2, 2, 2], [2, 2, 4], [2, 2, 3, 4] 32/25 5, 10, 25 1, 5, 25 25
\(\downarrow\)
[2, 2, 2, 2], [2, 2, 3], [2, 3, 4] 10/7 5, 7, 18 1, 7, 3 21
\(\downarrow\)
[2, 2, 2, 2], [2, 2, 2], [3, 4] 20/11 5, 4, 11 1, 1, 11 11
\(\downarrow\)
[2, 2, 2, 2], [2, 2], [2, 4] 15/7 5, 3, 7 1, 1, 7 7
\(\downarrow\)
[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