Cascade for [2, 2, 2, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 17]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[5, 2, 2, 2, 2], [5, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 3/7 21, 84, 21 7, 14, 1 14
\(\downarrow\)
[5, 2, 2, 2], [4, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 525/1139 17, 67, 21 17, 67, 1 1139
\(\downarrow\)
[5, 2, 2], [3, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 168/325 13, 50, 21 13, 25, 1 325
\(\downarrow\)
[5, 2], [2, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 7/11 9, 33, 21 3, 11, 1 33
\(\downarrow\)
[5, 2], [2, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 20/31 9, 31, 20 3, 31, 1 93
\(\downarrow\)
[5, 2], [2, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 19/29 9, 29, 19 3, 29, 1 87
\(\downarrow\)
[5, 2], [2, 14], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 2/3 9, 27, 18 3, 9, 1 9
\(\downarrow\)
[5, 2], [2, 13], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 17/25 9, 25, 17 3, 25, 1 75
\(\downarrow\)
[5, 2], [2, 12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16/23 9, 23, 16 3, 23, 1 69
\(\downarrow\)
[5, 2], [2, 11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 5/7 9, 21, 15 3, 7, 1 21
\(\downarrow\)
[5, 2], [2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 14/19 9, 19, 14 3, 19, 1 57
\(\downarrow\)
[5, 2], [2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 13/17 9, 17, 13 3, 17, 1 51
\(\downarrow\)
[5, 2], [2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 4/5 9, 15, 12 3, 5, 1 15
\(\downarrow\)
[5, 2], [2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 11/13 9, 13, 11 3, 13, 1 39
\(\downarrow\)
[5, 2], [2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2] 10/11 9, 11, 10 3, 11, 1 33
\(\downarrow\)
[5, 2], [2, 5], [2, 2, 2, 2, 2, 2, 2, 2] 1 9, 9, 9 3, 3, 1 3
\(\downarrow\)
[5, 2], [2, 4], [2, 2, 2, 2, 2, 2, 2] 8/7 9, 7, 8 3, 7, 1 21
\(\downarrow\)
[5, 2], [2, 3], [2, 2, 2, 2, 2, 2] 7/5 9, 5, 7 3, 5, 1 15
\(\downarrow\)
[5, 2], [2, 2], [2, 2, 2, 2, 2] 2 9, 3, 6 3, 1, 1 3
\(\downarrow\)
[4, 2], [2, 2], [2, 2, 2, 2] 15/7 7, 3, 5 7, 1, 1 7
\(\downarrow\)
[3, 2], [2, 2], [2, 2, 2] 12/5 5, 3, 4 5, 1, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1