Cascade for [8], [3, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2], [3, 2, 2, 3] 1 8, 72, 16 4, 12, 2 12
\(\downarrow\)
[7], [2, 2, 2, 2, 2, 2, 2, 2, 5, 2], [3, 2, 2, 3] 484/455 7, 65, 16 7, 65, 2 910
\(\downarrow\)
[6], [2, 2, 2, 2, 2, 2, 2, 5, 2], [3, 2, 2, 3] 100/87 6, 58, 16 3, 29, 2 174
\(\downarrow\)
[5], [2, 2, 2, 2, 2, 2, 5, 2], [3, 2, 2, 3] 108/85 5, 51, 16 5, 17, 2 170
\(\downarrow\)
[4], [2, 2, 2, 2, 2, 5, 2], [3, 2, 2, 3] 16/11 4, 44, 16 2, 22, 2 22
\(\downarrow\)
[3], [2, 2, 2, 2, 5, 2], [3, 2, 2, 3] 196/111 3, 37, 16 3, 37, 2 222
\(\downarrow\)
[2], [2, 2, 2, 5, 2], [3, 2, 2, 3] 12/5 2, 30, 16 1, 5, 2 10
\(\downarrow\)
[2], [2, 2, 2, 5], [2, 2, 2, 3] 392/153 2, 17, 9 1, 17, 9 153
\(\downarrow\)
[2], [2, 2, 2, 4], [2, 2, 3] 242/91 2, 13, 7 1, 13, 7 91
\(\downarrow\)
[2], [2, 2, 2, 3], [2, 3] 128/45 2, 9, 5 1, 9, 5 45
\(\downarrow\)
[2], [2, 2, 2, 2], [3] 10/3 2, 5, 3 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1