Cascade for [28], [28], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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
[28], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [28] 2/7 28, 56, 28 14, 1, 14 14
\(\downarrow\)
[27], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [28] 55/189 27, 55, 28 27, 1, 14 378
\(\downarrow\)
[26], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [28] 27/91 26, 54, 28 13, 1, 14 182
\(\downarrow\)
[25], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [28] 53/175 25, 53, 28 25, 1, 14 350
\(\downarrow\)
[24], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [28] 13/42 24, 52, 28 12, 1, 14 84
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 51/161 23, 51, 28 23, 1, 14 322
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 25/77 22, 50, 28 11, 1, 14 154
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 1/3 21, 49, 28 21, 1, 14 42
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 12/35 20, 48, 28 10, 1, 14 70
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 47/133 19, 47, 28 19, 1, 14 266
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 23/63 18, 46, 28 9, 1, 14 126
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 45/119 17, 45, 28 17, 1, 14 238
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 11/28 16, 44, 28 8, 1, 14 56
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 43/105 15, 43, 28 15, 1, 14 210
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 3/7 14, 42, 28 7, 1, 14 14
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 41/91 13, 41, 28 13, 1, 14 182
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 10/21 12, 40, 28 6, 1, 14 42
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 39/77 11, 39, 28 11, 1, 14 154
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 19/35 10, 38, 28 5, 1, 14 70
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 37/63 9, 37, 28 9, 1, 14 126
\(\downarrow\)
[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, 2, 2, 2, 2, 2], [28] 9/14 8, 36, 28 4, 1, 14 28
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 5/7 7, 35, 28 7, 1, 14 14
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 17/21 6, 34, 28 3, 1, 14 42
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 33/35 5, 33, 28 5, 1, 14 70
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 8/7 4, 32, 28 2, 1, 14 14
\(\downarrow\)
[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, 2, 2, 2, 2, 2, 2], [28] 31/21 3, 31, 28 3, 1, 14 42
\(\downarrow\)
[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, 2, 2, 2, 2, 2], [28] 15/7 2, 30, 28 1, 1, 14 14
\(\downarrow\)
[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, 2, 2, 2, 2], [27] 58/27 2, 29, 27 1, 1, 27 27
\(\downarrow\)
[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, 2, 2, 2], [26] 28/13 2, 28, 26 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, 2, 2, 2, 2, 2, 2], [25] 54/25 2, 27, 25 1, 1, 25 25
\(\downarrow\)
[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, 2], [24] 13/6 2, 26, 24 1, 1, 12 12
\(\downarrow\)
[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] 50/23 2, 25, 23 1, 1, 23 23
\(\downarrow\)
[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] 24/11 2, 24, 22 1, 1, 11 11
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [21] 46/21 2, 23, 21 1, 1, 21 21
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [20] 11/5 2, 22, 20 1, 1, 10 10
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [19] 42/19 2, 21, 19 1, 1, 19 19
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [18] 20/9 2, 20, 18 1, 1, 9 9
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [17] 38/17 2, 19, 17 1, 1, 17 17
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [16] 9/4 2, 18, 16 1, 1, 8 8
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [15] 34/15 2, 17, 15 1, 1, 15 15
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [14] 16/7 2, 16, 14 1, 1, 7 7
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [13] 30/13 2, 15, 13 1, 1, 13 13
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12] 7/3 2, 14, 12 1, 1, 6 6
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [11] 26/11 2, 13, 11 1, 1, 11 11
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [10] 12/5 2, 12, 10 1, 1, 5 5
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [9] 22/9 2, 11, 9 1, 1, 9 9
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [8] 5/2 2, 10, 8 1, 1, 4 4
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2, 2], [7] 18/7 2, 9, 7 1, 1, 7 7
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2, 2], [6] 8/3 2, 8, 6 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2, 2, 2, 2], [5] 14/5 2, 7, 5 1, 1, 5 5
\(\downarrow\)
[2], [2, 2, 2, 2, 2], [4] 3 2, 6, 4 1, 1, 2 2
\(\downarrow\)
[2], [2, 2, 2, 2], [3] 10/3 2, 5, 3 1, 1, 3 3
\(\downarrow\)
[2], [2, 2, 2], [2] 4 2, 4, 2 1, 1, 1 1