Knot Invariant Comparison

Supplement to On detection probabilities of link invariants [arXiv; GitHub].

khovanovFamilyhfkFamilykr3FamilyhomflyFamily

(Note: Certain computable values have data up to 18 crossings. We are not 100% certain on the 18 crossing data.)

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Table

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n	Jones	Khovanov	KhovanovT1	Jones+KhovanovT1	KhovanovOdd	Khovanov+KhovanovOdd
3	100	100	100	100	100	100
4	100	100	100	100	100	100
5	100	100	100	100	100	100
6	100	100	100	100	100	100
7	100	100	100	100	100	100
8	100	100	100	100	100	100
9	100	100	100	100	100	100
10	96.38	96.38	96.38	96.38	96.38	96.38
11	90.13	91.13	90.76	91.13	91.13	91.13
12	83	84.31	83.84	84.17	84.11	84.31
13	73.31	77.5	77.16	77.44	74.53	77.5
14	64.49	69.04	68.47	68.97	66.28	69.05
15	55.74	60.69	59.85	60.64	58.4	60.77
16	49.42	54.71	53.63	54.67	53.27	54.9
17	44.84	51.93	50.47	51.9	50.57	52.33
18	41.61	50.83	49	50.8	49.48	51.45