Cascade for [2, 8], [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, 2, 2, 2, 2], [2, 23]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[8, 2], [2, 23], [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, 2, 2, 2, 2] 2/5 15, 45, 30 5, 15, 1 15
\(\downarrow\)
[8, 2], [2, 22], [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, 2, 2, 2] 87/215 15, 43, 29 5, 43, 1 215
\(\downarrow\)
[8, 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, 2, 2, 2, 2] 84/205 15, 41, 28 5, 41, 1 205
\(\downarrow\)
[8, 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, 2, 2, 2, 2] 27/65 15, 39, 27 5, 13, 1 65
\(\downarrow\)
[8, 2], [2, 19], [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] 78/185 15, 37, 26 5, 37, 1 185
\(\downarrow\)
[8, 2], [2, 18], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 3/7 15, 35, 25 5, 35, 1 35
\(\downarrow\)
[8, 2], [2, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 24/55 15, 33, 24 5, 11, 1 55
\(\downarrow\)
[8, 2], [2, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 69/155 15, 31, 23 5, 31, 1 155
\(\downarrow\)
[8, 2], [2, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 66/145 15, 29, 22 5, 29, 1 145
\(\downarrow\)
[8, 2], [2, 14], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 7/15 15, 27, 21 5, 9, 1 45
\(\downarrow\)
[8, 2], [2, 13], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12/25 15, 25, 20 5, 25, 1 25
\(\downarrow\)
[8, 2], [2, 12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 57/115 15, 23, 19 5, 23, 1 115
\(\downarrow\)
[8, 2], [2, 11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 18/35 15, 21, 18 5, 7, 1 35
\(\downarrow\)
[8, 2], [2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 51/95 15, 19, 17 5, 19, 1 95
\(\downarrow\)
[8, 2], [2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 48/85 15, 17, 16 5, 17, 1 85
\(\downarrow\)
[8, 2], [2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 3/5 15, 15, 15 5, 5, 1 5
\(\downarrow\)
[8, 2], [2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 42/65 15, 13, 14 5, 13, 1 65
\(\downarrow\)
[8, 2], [2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 39/55 15, 11, 13 5, 11, 1 55
\(\downarrow\)
[8, 2], [2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 4/5 15, 9, 12 5, 3, 1 15
\(\downarrow\)
[8, 2], [2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 33/35 15, 7, 11 5, 7, 1 35
\(\downarrow\)
[8, 2], [2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2] 6/5 15, 5, 10 5, 5, 1 5
\(\downarrow\)
[8, 2], [2, 2], [2, 2, 2, 2, 2, 2, 2, 2] 9/5 15, 3, 9 5, 1, 1 5
\(\downarrow\)
[7, 2], [2, 2], [2, 2, 2, 2, 2, 2, 2] 24/13 13, 3, 8 13, 1, 1 13
\(\downarrow\)
[6, 2], [2, 2], [2, 2, 2, 2, 2, 2] 21/11 11, 3, 7 11, 1, 1 11
\(\downarrow\)
[5, 2], [2, 2], [2, 2, 2, 2, 2] 2 9, 3, 6 3, 1, 1 3
\(\downarrow\)
[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