Cascade for [2, 8, 2], [2, 8, 2], [3, 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, 8, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 2/7 28, 56, 28 7, 2, 7 14
\(\downarrow\)
[2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 432/1015 15, 29, 28 5, 29, 7 1015
\(\downarrow\)
[2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 1156/2457 13, 27, 28 13, 27, 7 2457
\(\downarrow\)
[2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 1024/1925 11, 25, 28 11, 25, 7 1925
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 100/161 9, 23, 28 3, 23, 7 483
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 16/21 7, 21, 28 7, 21, 7 21
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 676/665 5, 19, 28 5, 19, 7 665
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [2, 8, 2] 192/119 3, 17, 28 1, 17, 7 119
\(\downarrow\)
[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