Cascade for [2, 2, 2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 19]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[7, 2, 2, 2], [4, 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] 1/3 25, 75, 25 5, 15, 1 15
\(\downarrow\)
[7, 2, 2], [3, 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] 50/133 19, 56, 25 19, 14, 1 266
\(\downarrow\)
[7, 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] 225/481 13, 37, 25 13, 37, 1 481
\(\downarrow\)
[7, 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] 216/455 13, 35, 24 13, 35, 1 455
\(\downarrow\)
[7, 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] 69/143 13, 33, 23 13, 11, 1 143
\(\downarrow\)
[7, 2], [2, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 198/403 13, 31, 22 13, 31, 1 403
\(\downarrow\)
[7, 2], [2, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 189/377 13, 29, 21 13, 29, 1 377
\(\downarrow\)
[7, 2], [2, 14], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 20/39 13, 27, 20 13, 9, 1 117
\(\downarrow\)
[7, 2], [2, 13], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 171/325 13, 25, 19 13, 25, 1 325
\(\downarrow\)
[7, 2], [2, 12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 162/299 13, 23, 18 13, 23, 1 299
\(\downarrow\)
[7, 2], [2, 11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 51/91 13, 21, 17 13, 7, 1 91
\(\downarrow\)
[7, 2], [2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 144/247 13, 19, 16 13, 19, 1 247
\(\downarrow\)
[7, 2], [2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 135/221 13, 17, 15 13, 17, 1 221
\(\downarrow\)
[7, 2], [2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 42/65 13, 15, 14 13, 5, 1 65
\(\downarrow\)
[7, 2], [2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 9/13 13, 13, 13 13, 13, 1 13
\(\downarrow\)
[7, 2], [2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 108/143 13, 11, 12 13, 11, 1 143
\(\downarrow\)
[7, 2], [2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 11/13 13, 9, 11 13, 3, 1 39
\(\downarrow\)
[7, 2], [2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2] 90/91 13, 7, 10 13, 7, 1 91
\(\downarrow\)
[7, 2], [2, 3], [2, 2, 2, 2, 2, 2, 2, 2] 81/65 13, 5, 9 13, 5, 1 65
\(\downarrow\)
[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