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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 7] 1 5, 45, 25 5, 15, 5 15
\(\downarrow\)
[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 7] 49/41 4, 41, 25 2, 41, 5 410
\(\downarrow\)
[3], [2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 7] 169/111 3, 37, 25 3, 37, 5 555
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 2, 7] 24/11 2, 33, 25 1, 11, 5 55
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 7] 1058/475 2, 25, 19 1, 25, 19 475
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 3], [2, 7] 512/221 2, 17, 13 1, 17, 13 221
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2], [7] 18/7 2, 9, 7 1, 1, 7 7
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2], [6] 8/3 2, 8, 6 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2], [5] 14/5 2, 7, 5 1, 1, 5 5
\(\downarrow\)
[2], [2, 2, 2, 2, 2], [4] 3 2, 6, 4 1, 1, 2 2
\(\downarrow\)
[2], [2, 2, 2, 2], [3] 10/3 2, 5, 3 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1