Cascade for [3, 3, 6], [2, 3, 2, 2, 2, 4], [2, 2, 2, 2, 2, 4, 2, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[3, 3, 6], [2, 2, 2, 2, 2, 4, 2, 2], [4, 2, 2, 2, 3, 2] 1/5 45, 45, 45 5, 15, 3 15
\(\downarrow\)
[3, 3, 5], [2, 2, 2, 2, 4, 2, 2], [4, 2, 2, 2, 3, 2] 160/703 37, 38, 45 37, 19, 3 2109
\(\downarrow\)
[3, 3, 4], [2, 2, 2, 4, 2, 2], [4, 2, 2, 2, 3, 2] 245/899 29, 31, 45 29, 31, 3 2697
\(\downarrow\)
[3, 3, 3], [2, 2, 4, 2, 2], [4, 2, 2, 2, 3, 2] 5/14 21, 24, 45 7, 4, 3 84
\(\downarrow\)
[3, 3, 2], [2, 4, 2, 2], [4, 2, 2, 2, 3, 2] 125/221 13, 17, 45 13, 17, 3 663
\(\downarrow\)
[3, 3, 2], [2, 4, 2], [3, 2, 2, 2, 3, 2] 784/1209 13, 12, 31 13, 3, 31 1209
\(\downarrow\)
[3, 3, 2], [2, 4], [2, 2, 2, 2, 3, 2] 1369/1547 13, 7, 17 13, 7, 17 1547
\(\downarrow\)
[3, 3, 2], [2, 3], [2, 2, 2, 3, 2] 512/455 13, 5, 14 13, 5, 7 455
\(\downarrow\)
[3, 3, 2], [2, 2], [2, 2, 3, 2] 243/143 13, 3, 11 13, 1, 11 143
\(\downarrow\)
[2, 3, 2], [2, 2], [2, 2, 3] 27/14 8, 3, 7 4, 1, 7 28
\(\downarrow\)
[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