Cascade for [2, 10, 2], [2, 10, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 10, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 2/9 36, 72, 36 9, 2, 9 18
\(\downarrow\)
[2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 2116/6327 19, 37, 36 19, 37, 9 6327
\(\downarrow\)
[2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 1936/5355 17, 35, 36 17, 35, 9 5355
\(\downarrow\)
[2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 196/495 15, 33, 36 5, 33, 9 495
\(\downarrow\)
[2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 1600/3627 13, 31, 36 13, 31, 9 3627
\(\downarrow\)
[2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 1444/2871 11, 29, 36 11, 29, 9 2871
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 16/27 9, 27, 36 3, 27, 9 27
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 1156/1575 7, 25, 36 7, 25, 9 1575
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 1024/1035 5, 23, 36 5, 23, 9 1035
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 10, 2] 100/63 3, 21, 36 1, 21, 9 63
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [10, 2] 33/19 3, 11, 19 1, 1, 19 19
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [9, 2] 30/17 3, 10, 17 1, 1, 17 17
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [8, 2] 9/5 3, 9, 15 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2], [7, 2] 24/13 3, 8, 13 1, 1, 13 13
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2], [6, 2] 21/11 3, 7, 11 1, 1, 11 11
\(\downarrow\)
[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