Cascade for [2, 3, 7], [2, 2, 2, 3, 2, 3], [2, 2, 2, 2, 2, 2, 2, 5]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 3, 7], [2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 3, 2, 3] 3/11 33, 33, 33 11, 11, 11 11
\(\downarrow\)
[2, 3, 6], [2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 3, 2, 3] 675/2233 28, 29, 33 14, 29, 11 4466
\(\downarrow\)
[2, 3, 5], [2, 2, 2, 2, 2, 5], [2, 2, 2, 3, 2, 3] 2187/6325 23, 25, 33 23, 25, 11 6325
\(\downarrow\)
[2, 3, 4], [2, 2, 2, 2, 5], [2, 2, 2, 3, 2, 3] 32/77 18, 21, 33 3, 7, 11 231
\(\downarrow\)
[2, 3, 3], [2, 2, 2, 5], [2, 2, 2, 3, 2, 3] 1323/2431 13, 17, 33 13, 17, 11 2431
\(\downarrow\)
[2, 3, 2], [2, 2, 5], [2, 2, 2, 3, 2, 3] 243/286 8, 13, 33 4, 13, 11 572
\(\downarrow\)
[2, 3, 2], [2, 2, 4], [2, 2, 3, 2, 3] 121/130 8, 10, 26 4, 5, 13 260
\(\downarrow\)
[2, 3, 2], [2, 2, 3], [2, 3, 2, 3] 289/266 8, 7, 19 4, 7, 19 532
\(\downarrow\)
[2, 3, 2], [2, 2, 2], [3, 2, 3] 3/2 8, 4, 12 4, 1, 2 4
\(\downarrow\)
[2, 3, 2], [2, 2], [2, 2, 3] 27/14 8, 3, 7 4, 1, 7 28
\(\downarrow\)
[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