Cascade for [5, 8], [2, 2, 2, 2, 3, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[5, 8], [2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [4, 3, 2, 2, 2, 2] 3/13 39, 39, 39 13, 13, 13 13
\(\downarrow\)
[5, 7], [2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [4, 3, 2, 2, 2, 2] 1944/7735 34, 35, 39 17, 35, 13 7735
\(\downarrow\)
[5, 6], [2, 2, 2, 2, 2, 2, 3, 2, 2], [4, 3, 2, 2, 2, 2] 3267/11687 29, 31, 39 29, 31, 13 11687
\(\downarrow\)
[5, 5], [2, 2, 2, 2, 2, 3, 2, 2], [4, 3, 2, 2, 2, 2] 25/78 24, 27, 39 4, 9, 13 468
\(\downarrow\)
[5, 4], [2, 2, 2, 2, 3, 2, 2], [4, 3, 2, 2, 2, 2] 2187/5681 19, 23, 39 19, 23, 13 5681
\(\downarrow\)
[5, 3], [2, 2, 2, 3, 2, 2], [4, 3, 2, 2, 2, 2] 864/1729 14, 19, 39 7, 19, 13 1729
\(\downarrow\)
[5, 2], [2, 2, 3, 2, 2], [4, 3, 2, 2, 2, 2] 49/65 9, 15, 39 3, 5, 13 195
\(\downarrow\)
[5, 2], [2, 2, 3, 2], [3, 3, 2, 2, 2, 2] 64/77 9, 11, 28 3, 11, 7 231
\(\downarrow\)
[5, 2], [2, 2, 3], [2, 3, 2, 2, 2, 2] 121/119 9, 7, 17 3, 7, 17 357
\(\downarrow\)
[5, 2], [2, 2, 2], [3, 2, 2, 2, 2] 16/11 9, 4, 11 3, 1, 11 33
\(\downarrow\)
[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