Cascade for [2, 8], [2, 2, 2, 5, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 5, 2] 2/5 15, 45, 30 5, 15, 5 15
\(\downarrow\)
[2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 5, 2] 1176/2665 13, 41, 30 13, 41, 5 2665
\(\downarrow\)
[2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 5, 2] 1014/2035 11, 37, 30 11, 37, 5 2035
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 5, 2] 32/55 9, 33, 30 3, 11, 5 165
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 5, 2] 726/1015 7, 29, 30 7, 29, 5 1015
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 2, 5], [2, 2, 2, 5, 2] 24/25 5, 25, 30 5, 25, 5 25
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 5], [2, 2, 2, 5, 2] 54/35 3, 21, 30 1, 7, 5 35
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 4], [2, 2, 5, 2] 147/92 3, 16, 23 1, 8, 23 184
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 3], [2, 5, 2] 75/44 3, 11, 16 1, 11, 8 88
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2], [5, 2] 2 3, 6, 9 1, 1, 3 3
\(\downarrow\)
[2, 2], [2, 2, 2, 2], [4, 2] 15/7 3, 5, 7 1, 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2], [3, 2] 12/5 3, 4, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1