Cascade for [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [19, 19]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [19, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 10/9 20, 360, 20 1, 18, 1 18
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [18, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 380/341 19, 341, 20 1, 341, 1 341
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [17, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 180/161 18, 322, 20 1, 161, 1 161
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [16, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 340/303 17, 303, 20 1, 303, 1 303
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [15, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 80/71 16, 284, 20 1, 71, 1 71
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [14, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 60/53 15, 265, 20 1, 53, 1 53
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [13, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 140/123 14, 246, 20 1, 123, 1 123
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 260/227 13, 227, 20 1, 227, 1 227
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [11, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 15/13 12, 208, 20 1, 52, 1 52
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [10, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 220/189 11, 189, 20 1, 189, 1 189
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2, 2], [9, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 20/17 10, 170, 20 1, 17, 1 17
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2, 2], [8, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 180/151 9, 151, 20 1, 151, 1 151
\(\downarrow\)
[2, 2, 2, 2, 2, 2, 2], [7, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 40/33 8, 132, 20 1, 33, 1 33
\(\downarrow\)
[2, 2, 2, 2, 2, 2], [6, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 140/113 7, 113, 20 1, 113, 1 113
\(\downarrow\)
[2, 2, 2, 2, 2], [5, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 60/47 6, 94, 20 1, 47, 1 47
\(\downarrow\)
[2, 2, 2, 2], [4, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 4/3 5, 75, 20 1, 15, 1 15
\(\downarrow\)
[2, 2, 2], [3, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 10/7 4, 56, 20 1, 14, 1 14
\(\downarrow\)
[2, 2], [2, 19], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 60/37 3, 37, 20 1, 37, 1 37
\(\downarrow\)
[2, 2], [2, 18], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 57/35 3, 35, 19 1, 35, 1 35
\(\downarrow\)
[2, 2], [2, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 18/11 3, 33, 18 1, 11, 1 11
\(\downarrow\)
[2, 2], [2, 16], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 51/31 3, 31, 17 1, 31, 1 31
\(\downarrow\)
[2, 2], [2, 15], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 48/29 3, 29, 16 1, 29, 1 29
\(\downarrow\)
[2, 2], [2, 14], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 5/3 3, 27, 15 1, 9, 1 9
\(\downarrow\)
[2, 2], [2, 13], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 42/25 3, 25, 14 1, 25, 1 25
\(\downarrow\)
[2, 2], [2, 12], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 39/23 3, 23, 13 1, 23, 1 23
\(\downarrow\)
[2, 2], [2, 11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12/7 3, 21, 12 1, 7, 1 7
\(\downarrow\)
[2, 2], [2, 10], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 33/19 3, 19, 11 1, 19, 1 19
\(\downarrow\)
[2, 2], [2, 9], [2, 2, 2, 2, 2, 2, 2, 2, 2] 30/17 3, 17, 10 1, 17, 1 17
\(\downarrow\)
[2, 2], [2, 8], [2, 2, 2, 2, 2, 2, 2, 2] 9/5 3, 15, 9 1, 5, 1 5
\(\downarrow\)
[2, 2], [2, 7], [2, 2, 2, 2, 2, 2, 2] 24/13 3, 13, 8 1, 13, 1 13
\(\downarrow\)
[2, 2], [2, 6], [2, 2, 2, 2, 2, 2] 21/11 3, 11, 7 1, 11, 1 11
\(\downarrow\)
[2, 2], [2, 5], [2, 2, 2, 2, 2] 2 3, 9, 6 1, 3, 1 3
\(\downarrow\)
[2, 2], [2, 4], [2, 2, 2, 2] 15/7 3, 7, 5 1, 7, 1 7
\(\downarrow\)
[2, 2], [2, 3], [2, 2, 2] 12/5 3, 5, 4 1, 5, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1