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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[3, 5, 2], [3, 2, 2, 2, 3, 2, 2, 2, 2, 2], [7, 2, 2, 2] 1/3 25, 75, 25 5, 15, 5 15
\(\downarrow\)
[3, 5], [2, 2, 2, 2, 3, 2, 2, 2, 2, 2], [7, 2, 2, 2] 128/287 14, 41, 25 7, 41, 5 1435
\(\downarrow\)
[3, 4], [2, 2, 2, 3, 2, 2, 2, 2, 2], [7, 2, 2, 2] 98/187 11, 34, 25 11, 17, 5 935
\(\downarrow\)
[3, 3], [2, 2, 3, 2, 2, 2, 2, 2], [7, 2, 2, 2] 2/3 8, 27, 25 2, 9, 5 90
\(\downarrow\)
[3, 2], [2, 3, 2, 2, 2, 2, 2], [7, 2, 2, 2] 1 5, 20, 25 5, 10, 5 10
\(\downarrow\)
[3, 2], [2, 3, 2, 2, 2, 2], [6, 2, 2, 2] 1849/1785 5, 17, 21 5, 17, 21 1785
\(\downarrow\)
[3, 2], [2, 3, 2, 2, 2], [5, 2, 2, 2] 648/595 5, 14, 17 5, 7, 17 595
\(\downarrow\)
[3, 2], [2, 3, 2, 2], [4, 2, 2, 2] 841/715 5, 11, 13 5, 11, 13 715
\(\downarrow\)
[3, 2], [2, 3, 2], [3, 2, 2, 2] 121/90 5, 8, 9 5, 4, 9 180
\(\downarrow\)
[3, 2], [2, 3], [2, 2, 2, 2] 9/5 5, 5, 5 5, 5, 1 5
\(\downarrow\)
[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