Cascade for [3, 9], [2, 2, 3, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[3, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3, 2, 2] 4/13 26, 52, 26 13, 13, 13 13
\(\downarrow\)
[3, 8], [2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3, 2, 2] 4608/14053 23, 47, 26 23, 47, 13 14053
\(\downarrow\)
[3, 7], [2, 2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3, 2, 2] 484/1365 20, 42, 26 5, 21, 13 1365
\(\downarrow\)
[3, 6], [2, 2, 2, 2, 2, 2, 4, 2], [3, 2, 3, 2, 2] 3200/8177 17, 37, 26 17, 37, 13 8177
\(\downarrow\)
[3, 5], [2, 2, 2, 2, 2, 4, 2], [3, 2, 3, 2, 2] 81/182 14, 32, 26 7, 8, 13 728
\(\downarrow\)
[3, 4], [2, 2, 2, 2, 4, 2], [3, 2, 3, 2, 2] 2048/3861 11, 27, 26 11, 27, 13 3861
\(\downarrow\)
[3, 3], [2, 2, 2, 4, 2], [3, 2, 3, 2, 2] 98/143 8, 22, 26 2, 11, 13 286
\(\downarrow\)
[3, 2], [2, 2, 4, 2], [3, 2, 3, 2, 2] 1152/1105 5, 17, 26 5, 17, 13 1105
\(\downarrow\)
[3, 2], [2, 2, 4], [2, 2, 3, 2, 2] 6/5 5, 10, 15 5, 5, 5 5
\(\downarrow\)
[3, 2], [2, 2, 3], [2, 3, 2, 2] 529/385 5, 7, 11 5, 7, 11 385
\(\downarrow\)
[3, 2], [2, 2, 2], [3, 2, 2] 64/35 5, 4, 7 5, 1, 7 35
\(\downarrow\)
[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