Cascade for [2, 5], [2, 2, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 9]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[5, 2], [3, 2, 2, 2, 2, 9], [2, 2, 2, 2, 2, 2, 2, 2] 8/5 9, 90, 9 3, 15, 1 15
\(\downarrow\)
[5], [2, 2, 2, 2, 2, 9], [2, 2, 2, 2, 2, 2, 2, 2] 9/5 5, 49, 9 5, 7, 1 35
\(\downarrow\)
[4], [2, 2, 2, 2, 9], [2, 2, 2, 2, 2, 2, 2, 2] 81/41 4, 41, 9 2, 41, 1 82
\(\downarrow\)
[3], [2, 2, 2, 9], [2, 2, 2, 2, 2, 2, 2, 2] 25/11 3, 33, 9 3, 33, 1 33
\(\downarrow\)
[2], [2, 2, 9], [2, 2, 2, 2, 2, 2, 2, 2] 72/25 2, 25, 9 1, 25, 1 25
\(\downarrow\)
[2], [2, 2, 8], [2, 2, 2, 2, 2, 2, 2] 32/11 2, 22, 8 1, 11, 1 11
\(\downarrow\)
[2], [2, 2, 7], [2, 2, 2, 2, 2, 2] 56/19 2, 19, 7 1, 19, 1 19
\(\downarrow\)
[2], [2, 2, 6], [2, 2, 2, 2, 2] 3 2, 16, 6 1, 4, 1 4
\(\downarrow\)
[2], [2, 2, 5], [2, 2, 2, 2] 40/13 2, 13, 5 1, 13, 1 13
\(\downarrow\)
[2], [2, 2, 4], [2, 2, 2] 16/5 2, 10, 4 1, 5, 1 5
\(\downarrow\)
[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