Cascade for [2, 9, 2], [2, 9, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 9, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 1/4 32, 64, 32 16, 2, 16 16
\(\downarrow\)
[2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 1681/4488 17, 33, 32 17, 33, 16 8976
\(\downarrow\)
[2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 507/1240 15, 31, 32 5, 31, 16 2480
\(\downarrow\)
[2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 1369/3016 13, 29, 32 13, 29, 16 6032
\(\downarrow\)
[2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 1225/2376 11, 27, 32 11, 27, 16 4752
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 121/200 9, 25, 32 3, 25, 16 1200
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 961/1288 7, 23, 32 7, 23, 16 2576
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 841/840 5, 21, 32 5, 21, 16 1680
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 9, 2] 243/152 3, 19, 32 1, 19, 16 304
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [9, 2] 30/17 3, 10, 17 1, 1, 17 17
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [8, 2] 9/5 3, 9, 15 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2], [7, 2] 24/13 3, 8, 13 1, 1, 13 13
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2], [6, 2] 21/11 3, 7, 11 1, 1, 11 11
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2], [5, 2] 2 3, 6, 9 1, 1, 3 3
\(\downarrow\)
[2, 2], [2, 2, 2, 2], [4, 2] 15/7 3, 5, 7 1, 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2], [3, 2] 12/5 3, 4, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1