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

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[2, 7], [2, 2, 2, 2, 2, 2, 2, 3, 2], [3, 3, 2] 8/13 13, 26, 13 13, 13, 13 13
\(\downarrow\)
[2, 6], [2, 2, 2, 2, 2, 2, 3, 2], [3, 3, 2] 2209/3289 11, 23, 13 11, 23, 13 3289
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 2, 3, 2], [3, 3, 2] 49/65 9, 20, 13 3, 10, 13 390
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 3, 2], [3, 3, 2] 1369/1547 7, 17, 13 7, 17, 13 1547
\(\downarrow\)
[2, 3], [2, 2, 2, 3, 2], [3, 3, 2] 512/455 5, 14, 13 5, 7, 13 455
\(\downarrow\)
[2, 2], [2, 2, 3, 2], [3, 3, 2] 243/143 3, 11, 13 1, 11, 13 143
\(\downarrow\)
[2, 2], [2, 2, 3], [2, 3, 2] 27/14 3, 7, 8 1, 7, 4 28
\(\downarrow\)
[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