Complete List of Prime Knots up to 19 Crossings

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crossing alternative non-alternative total
3 1 1
4 1 1
5 2 2
6 3 3
7 7 7
8 18 3 21
9 41 8 49
10 123 42 165
11 367 185 552
12 1288 888 2176
13 4878 5110 9988
14 19536 27436 46972
15 85263 168030 253293
16 379799 1008906 1388705
17 1769979 ? < 7413688
18 8400285 ? < 49128005
19 40619385
20 199631989
21 990623857