Cascade for [4, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 3, 21]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[4, 2, 4], [2, 2, 3, 21], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 4/9 24, 144, 24 3, 18, 1 18
\(\downarrow\)
[4, 2, 3], [2, 3, 21], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 864/1751 17, 103, 24 17, 103, 1 1751
\(\downarrow\)
[4, 2, 2], [3, 21], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 96/155 10, 62, 24 5, 31, 1 155
\(\downarrow\)
[4, 2], [2, 21], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 216/287 7, 41, 24 7, 41, 1 287
\(\downarrow\)
[4, 2], [2, 20], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 69/91 7, 39, 23 7, 13, 1 91
\(\downarrow\)
[4, 2], [2, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 198/259 7, 37, 22 7, 37, 1 259
\(\downarrow\)
[4, 2], [2, 18], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 27/35 7, 35, 21 7, 35, 1 35
\(\downarrow\)
[4, 2], [2, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 60/77 7, 33, 20 7, 11, 1 77
\(\downarrow\)
[4, 2], [2, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 171/217 7, 31, 19 7, 31, 1 217
\(\downarrow\)
[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