Cascade for [12], [12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 2/3 12, 24, 12 6, 1, 6 6
\(\downarrow\)
[11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 23/33 11, 23, 12 11, 1, 6 66
\(\downarrow\)
[10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 11/15 10, 22, 12 5, 1, 6 30
\(\downarrow\)
[9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 7/9 9, 21, 12 9, 1, 6 18
\(\downarrow\)
[8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 5/6 8, 20, 12 4, 1, 6 12
\(\downarrow\)
[7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 19/21 7, 19, 12 7, 1, 6 42
\(\downarrow\)
[6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 1 6, 18, 12 3, 1, 6 6
\(\downarrow\)
[5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 17/15 5, 17, 12 5, 1, 6 30
\(\downarrow\)
[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 4/3 4, 16, 12 2, 1, 6 6
\(\downarrow\)
[3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 5/3 3, 15, 12 3, 1, 6 6
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 7/3 2, 14, 12 1, 1, 6 6
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [11] 26/11 2, 13, 11 1, 1, 11 11
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [10] 12/5 2, 12, 10 1, 1, 5 5
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [9] 22/9 2, 11, 9 1, 1, 9 9
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [8] 5/2 2, 10, 8 1, 1, 4 4
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2], [7] 18/7 2, 9, 7 1, 1, 7 7
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2], [6] 8/3 2, 8, 6 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2], [5] 14/5 2, 7, 5 1, 1, 5 5
\(\downarrow\)
[2], [2, 2, 2, 2, 2], [4] 3 2, 6, 4 1, 1, 2 2
\(\downarrow\)
[2], [2, 2, 2, 2], [3] 10/3 2, 5, 3 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1