Cascade for [2, 3, 4], [2, 2, 2, 2, 8], [2, 2, 2, 2, 2, 2, 3, 2, 3]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[4, 3, 2], [3, 2, 3, 2, 2, 2, 2, 2, 2], [8, 2, 2, 2, 2] 1/3 18, 54, 36 3, 9, 6 18
\(\downarrow\)
[4, 3], [2, 2, 3, 2, 2, 2, 2, 2, 2], [8, 2, 2, 2, 2] 169/341 11, 31, 36 11, 31, 6 2046
\(\downarrow\)
[4, 2], [2, 3, 2, 2, 2, 2, 2, 2], [8, 2, 2, 2, 2] 121/161 7, 23, 36 7, 23, 6 966
\(\downarrow\)
[4, 2], [2, 3, 2, 2, 2, 2, 2], [7, 2, 2, 2, 2] 841/1085 7, 20, 31 7, 10, 31 2170
\(\downarrow\)
[4, 2], [2, 3, 2, 2, 2, 2], [6, 2, 2, 2, 2] 1250/1547 7, 17, 26 7, 17, 13 1547
\(\downarrow\)
[4, 2], [2, 3, 2, 2, 2], [5, 2, 2, 2, 2] 6/7 7, 14, 21 7, 7, 7 7
\(\downarrow\)
[4, 2], [2, 3, 2, 2], [4, 2, 2, 2, 2] 289/308 7, 11, 16 7, 11, 8 616
\(\downarrow\)
[4, 2], [2, 3, 2], [3, 2, 2, 2, 2] 169/154 7, 8, 11 7, 4, 11 308
\(\downarrow\)
[4, 2], [2, 3], [2, 2, 2, 2, 2] 54/35 7, 5, 6 7, 5, 1 35
\(\downarrow\)
[4, 2], [2, 2], [2, 2, 2, 2] 15/7 7, 3, 5 7, 1, 1 7
\(\downarrow\)
[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