Cascade for [2, 3, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 2, 15]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[4, 3, 2], [3, 2, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 1/2 18, 72, 18 3, 12, 1 12
\(\downarrow\)
[4, 3], [2, 2, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 288/473 11, 43, 18 11, 43, 1 473
\(\downarrow\)
[4, 2], [2, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 162/203 7, 29, 18 7, 29, 1 203
\(\downarrow\)
[4, 2], [2, 14], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 17/21 7, 27, 17 7, 9, 1 63
\(\downarrow\)
[4, 2], [2, 13], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 144/175 7, 25, 16 7, 25, 1 175
\(\downarrow\)
[4, 2], [2, 12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 135/161 7, 23, 15 7, 23, 1 161
\(\downarrow\)
[4, 2], [2, 11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 6/7 7, 21, 14 7, 7, 1 7
\(\downarrow\)
[4, 2], [2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 117/133 7, 19, 13 7, 19, 1 133
\(\downarrow\)
[4, 2], [2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 108/119 7, 17, 12 7, 17, 1 119
\(\downarrow\)
[4, 2], [2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 33/35 7, 15, 11 7, 5, 1 35
\(\downarrow\)
[4, 2], [2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2] 90/91 7, 13, 10 7, 13, 1 91
\(\downarrow\)
[4, 2], [2, 6], [2, 2, 2, 2, 2, 2, 2, 2] 81/77 7, 11, 9 7, 11, 1 77
\(\downarrow\)
[4, 2], [2, 5], [2, 2, 2, 2, 2, 2, 2] 8/7 7, 9, 8 7, 3, 1 21
\(\downarrow\)
[4, 2], [2, 4], [2, 2, 2, 2, 2, 2] 9/7 7, 7, 7 7, 7, 1 7
\(\downarrow\)
[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