Cascade for [2, 8], [2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3, 4]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 8], [2, 2, 2, 2, 2, 2, 2, 3, 4], [2, 2, 3, 2, 2] 3/5 15, 60, 15 5, 10, 5 10
\(\downarrow\)
[2, 7], [2, 2, 2, 2, 2, 2, 3, 4], [2, 2, 3, 2, 2] 2187/3445 13, 53, 15 13, 53, 5 3445
\(\downarrow\)
[2, 6], [2, 2, 2, 2, 2, 3, 4], [2, 2, 3, 2, 2] 864/1265 11, 46, 15 11, 23, 5 1265
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 3, 4], [2, 2, 3, 2, 2] 49/65 9, 39, 15 3, 13, 5 195
\(\downarrow\)
[2, 4], [2, 2, 2, 3, 4], [2, 2, 3, 2, 2] 243/280 7, 32, 15 7, 16, 5 560
\(\downarrow\)
[2, 3], [2, 2, 3, 4], [2, 2, 3, 2, 2] 27/25 5, 25, 15 5, 25, 5 25
\(\downarrow\)
[2, 2], [2, 3, 4], [2, 2, 3, 2, 2] 8/5 3, 18, 15 1, 3, 5 15
\(\downarrow\)
[2, 2], [2, 3, 3], [2, 3, 2, 2] 243/143 3, 13, 11 1, 13, 11 143
\(\downarrow\)
[2, 2], [2, 3, 2], [3, 2, 2] 27/14 3, 8, 7 1, 4, 7 28
\(\downarrow\)
[2, 2], [2, 3], [2, 2, 2] 12/5 3, 5, 4 1, 5, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1