Cascade for [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [8, 3, 16]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 2, 2, 2, 2, 2, 2], [8, 3, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16/5 8, 360, 16 1, 15, 1 15
\(\downarrow\)
[2, 2, 2, 2, 2, 2], [7, 3, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 1008/313 7, 313, 16 1, 313, 1 313
\(\downarrow\)
[2, 2, 2, 2, 2], [6, 3, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 432/133 6, 266, 16 1, 133, 1 133
\(\downarrow\)
[2, 2, 2, 2], [5, 3, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 240/73 5, 219, 16 1, 73, 1 73
\(\downarrow\)
[2, 2, 2], [4, 3, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 144/43 4, 172, 16 1, 43, 1 43
\(\downarrow\)
[2, 2], [3, 3, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 432/125 3, 125, 16 1, 125, 1 125
\(\downarrow\)
[2], [2, 3, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 48/13 2, 78, 16 1, 13, 1 13
\(\downarrow\)
[2], [2, 3, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 270/73 2, 73, 15 1, 73, 1 73
\(\downarrow\)
[2], [2, 3, 14], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 63/17 2, 68, 14 1, 34, 1 34
\(\downarrow\)
[2], [2, 3, 13], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 26/7 2, 63, 13 1, 21, 1 21
\(\downarrow\)
[2], [2, 3, 12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 108/29 2, 58, 12 1, 29, 1 29
\(\downarrow\)
[2], [2, 3, 11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 198/53 2, 53, 11 1, 53, 1 53
\(\downarrow\)
[2], [2, 3, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2] 15/4 2, 48, 10 1, 8, 1 8
\(\downarrow\)
[2], [2, 3, 9], [2, 2, 2, 2, 2, 2, 2, 2] 162/43 2, 43, 9 1, 43, 1 43
\(\downarrow\)
[2], [2, 3, 8], [2, 2, 2, 2, 2, 2, 2] 72/19 2, 38, 8 1, 19, 1 19
\(\downarrow\)
[2], [2, 3, 7], [2, 2, 2, 2, 2, 2] 42/11 2, 33, 7 1, 11, 1 11
\(\downarrow\)
[2], [2, 3, 6], [2, 2, 2, 2, 2] 27/7 2, 28, 6 1, 14, 1 14
\(\downarrow\)
[2], [2, 3, 5], [2, 2, 2, 2] 90/23 2, 23, 5 1, 23, 1 23
\(\downarrow\)
[2], [2, 3, 4], [2, 2, 2] 4 2, 18, 4 1, 3, 1 3
\(\downarrow\)
[2], [2, 3, 3], [2, 2] 54/13 2, 13, 3 1, 13, 1 13
\(\downarrow\)
[2], [2, 3, 2], [2] 9/2 2, 8, 2 1, 4, 1 4