Cascade for [2, 23], [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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [23, 2] 1/5 45, 45, 45 15, 1, 15 15
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [23, 2] 44/215 43, 44, 45 43, 1, 15 645
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [23, 2] 43/205 41, 43, 45 41, 1, 15 615
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 14/65 39, 42, 45 13, 1, 15 195
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 41/185 37, 41, 45 37, 1, 15 555
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 8/35 35, 40, 45 35, 1, 15 105
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 13/55 33, 39, 45 11, 1, 15 165
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 38/155 31, 38, 45 31, 1, 15 465
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 37/145 29, 37, 45 29, 1, 15 435
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 4/15 27, 36, 45 9, 1, 15 45
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 7/25 25, 35, 45 25, 1, 15 75
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 34/115 23, 34, 45 23, 1, 15 345
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 11/35 21, 33, 45 7, 1, 15 105
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 32/95 19, 32, 45 19, 1, 15 285
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 31/85 17, 31, 45 17, 1, 15 255
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 2/5 15, 30, 45 5, 1, 15 15
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 29/65 13, 29, 45 13, 1, 15 195
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 28/55 11, 28, 45 11, 1, 15 165
\(\downarrow\)
[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, 2, 2, 2], [23, 2] 3/5 9, 27, 45 3, 1, 15 15
\(\downarrow\)
[2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [23, 2] 26/35 7, 26, 45 7, 1, 15 105
\(\downarrow\)
[2, 3], [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, 2] 1 5, 25, 45 5, 1, 15 15
\(\downarrow\)
[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, 2] 8/5 3, 24, 45 1, 1, 15 15
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [22, 2] 69/43 3, 23, 43 1, 1, 43 43
\(\downarrow\)
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [21, 2] 66/41 3, 22, 41 1, 1, 41 41
\(\downarrow\)
[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