Cascade for [2, 20], [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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index
[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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 3/13 39, 39, 39 13, 1, 13 13
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 114/481 37, 38, 39 37, 1, 13 481
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 111/455 35, 37, 39 35, 1, 13 455
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 36/143 33, 36, 39 11, 1, 13 143
\(\downarrow\)
[2, 16], [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, 2, 2, 2, 2], [20, 2] 105/403 31, 35, 39 31, 1, 13 403
\(\downarrow\)
[2, 15], [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, 2, 2, 2], [20, 2] 102/377 29, 34, 39 29, 1, 13 377
\(\downarrow\)
[2, 14], [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, 2, 2], [20, 2] 11/39 27, 33, 39 9, 1, 13 117
\(\downarrow\)
[2, 13], [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, 2], [20, 2] 96/325 25, 32, 39 25, 1, 13 325
\(\downarrow\)
[2, 12], [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], [20, 2] 93/299 23, 31, 39 23, 1, 13 299
\(\downarrow\)
[2, 11], [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], [20, 2] 30/91 21, 30, 39 7, 1, 13 91
\(\downarrow\)
[2, 10], [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], [20, 2] 87/247 19, 29, 39 19, 1, 13 247
\(\downarrow\)
[2, 9], [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], [20, 2] 84/221 17, 28, 39 17, 1, 13 221
\(\downarrow\)
[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], [20, 2] 27/65 15, 27, 39 5, 1, 13 65
\(\downarrow\)
[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, 2], [20, 2] 6/13 13, 26, 39 13, 1, 13 13
\(\downarrow\)
[2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 75/143 11, 25, 39 11, 1, 13 143
\(\downarrow\)
[2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 8/13 9, 24, 39 3, 1, 13 39
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 69/91 7, 23, 39 7, 1, 13 91
\(\downarrow\)
[2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 66/65 5, 22, 39 5, 1, 13 65
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20, 2] 21/13 3, 21, 39 1, 1, 13 13
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [19, 2] 60/37 3, 20, 37 1, 1, 37 37
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [18, 2] 57/35 3, 19, 35 1, 1, 35 35
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [17, 2] 18/11 3, 18, 33 1, 1, 11 11
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [16, 2] 51/31 3, 17, 31 1, 1, 31 31
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [15, 2] 48/29 3, 16, 29 1, 1, 29 29
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [14, 2] 5/3 3, 15, 27 1, 1, 9 9
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [13, 2] 42/25 3, 14, 25 1, 1, 25 25
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12, 2] 39/23 3, 13, 23 1, 1, 23 23
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [11, 2] 12/7 3, 12, 21 1, 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [10, 2] 33/19 3, 11, 19 1, 1, 19 19
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [9, 2] 30/17 3, 10, 17 1, 1, 17 17
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [8, 2] 9/5 3, 9, 15 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2], [7, 2] 24/13 3, 8, 13 1, 1, 13 13
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2], [6, 2] 21/11 3, 7, 11 1, 1, 11 11
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2], [5, 2] 2 3, 6, 9 1, 1, 3 3
\(\downarrow\)
[2, 2], [2, 2, 2, 2], [4, 2] 15/7 3, 5, 7 1, 1, 7 7
\(\downarrow\)
[2, 2], [2, 2, 2], [3, 2] 12/5 3, 4, 5 1, 1, 5 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1