Cascade for [3, 2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2], [2, 2, 2, 2, 2, 2, 10]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[3, 2, 7], [2, 2, 2, 2, 2, 2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2] 1/4 32, 64, 32 16, 8, 16 16
\(\downarrow\)
[3, 2, 6], [2, 2, 2, 2, 2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2] 361/1320 27, 55, 32 9, 55, 16 7920
\(\downarrow\)
[3, 2, 5], [2, 2, 2, 2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2] 625/2024 22, 46, 32 11, 23, 16 4048
\(\downarrow\)
[3, 2, 4], [2, 2, 2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2] 1849/5032 17, 37, 32 17, 37, 16 10064
\(\downarrow\)
[3, 2, 3], [2, 2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2] 27/56 12, 28, 32 2, 7, 16 112
\(\downarrow\)
[3, 2, 2], [2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2] 841/1064 7, 19, 32 7, 19, 16 2128
\(\downarrow\)
[3, 2, 2], [2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 3, 2] 2809/3451 7, 17, 29 7, 17, 29 3451
\(\downarrow\)
[3, 2, 2], [2, 8], [2, 2, 2, 2, 2, 2, 2, 3, 2] 384/455 7, 15, 26 7, 5, 13 455
\(\downarrow\)
[3, 2, 2], [2, 7], [2, 2, 2, 2, 2, 2, 3, 2] 1849/2093 7, 13, 23 7, 13, 23 2093
\(\downarrow\)
[3, 2, 2], [2, 6], [2, 2, 2, 2, 2, 3, 2] 361/385 7, 11, 20 7, 11, 10 770
\(\downarrow\)
[3, 2, 2], [2, 5], [2, 2, 2, 2, 3, 2] 121/119 7, 9, 17 7, 3, 17 357
\(\downarrow\)
[3, 2, 2], [2, 4], [2, 2, 2, 3, 2] 8/7 7, 7, 14 7, 7, 7 7
\(\downarrow\)
[3, 2, 2], [2, 3], [2, 2, 3, 2] 529/385 7, 5, 11 7, 5, 11 385
\(\downarrow\)
[3, 2, 2], [2, 2], [2, 3, 2] 27/14 7, 3, 8 7, 1, 4 28
\(\downarrow\)
[2, 2, 2], [2, 2], [2, 3] 12/5 4, 3, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1