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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 2, 2, 2], [5, 2, 2, 2, 2, 2, 2, 5] 3/2 5, 120 1, 4 4
\(\downarrow\)
[5], [2, 2, 2, 2], [2, 2, 2, 2, 2, 5] 49/25 5, 5, 25 5, 1, 25 25
\(\downarrow\)
[4], [2, 2, 2, 2], [2, 2, 2, 2, 5] 15/7 4, 5, 21 2, 1, 7 14
\(\downarrow\)
[3], [2, 2, 2, 2], [2, 2, 2, 5] 125/51 3, 5, 17 3, 1, 17 51
\(\downarrow\)
[2], [2, 2, 2, 2], [2, 2, 5] 40/13 2, 5, 13 1, 1, 13 13
\(\downarrow\)
[2], [2, 2, 2], [2, 2, 4] 16/5 2, 4, 10 1, 1, 5 5
\(\downarrow\)
[2], [2, 2], [2, 2, 3] 24/7 2, 3, 7 1, 1, 7 7
\(\downarrow\)
[2], [2], [2, 2, 2] 4 2, 2, 4 1, 1, 1 1