Tables

PARAMETERS
OF THE MOST TIGHT CONFORMATIONS
OF ALL PRIME KNOTS WITH UP TO 10 CROSSINGS
AS FOUND BY THE SONO ALGORITHM

Type	n	L/R	ACN	Wr

3001	164	32,718	4,279	3,413

4001	211	42,056	6,521	0,002

5001	236	47,162	7,799	6,291
5002	248	49,44	8,303	4,55

6001	284	56,666	10,156	1,119
6002	285	56,972	10,418	2,782
6003	289	57,788	10,573	0,004

7001	307	61,36	11,453	9,175
7002	324	64,764	12,478	5,789
7003	320	63,878	12,103	7,434
7004	321	64,216	12,318	5,8
7005	326	65,202	12,46	7,442
7006	328	65,634	12,866	3,418
7007	328	65,552	12,905	0,632

8001	355	70,914	14,092	2,258
8002	357	71,344	14,251	5,655
8003	356	71,1	14,097	0.001
8004	357	71,416	14,31	1,642
8005	360	72,07	14,704	5,621
8006	363	72,428	14,625	3,977
8007	361	72,15	14,458	2,859
8008	364	72,782	14,899	1,158
8009	362	72,378	14,598	0,033
8010	366	73,226	15,236	2,791
8011	365	72,916	14,859	3,995
8012	370	73,926	14,909	0,019
8013	364	72,738	14,79	1,194
8014	369	73,696	15,014	4,054
8015	372	74,238	15,527	7,942
8016	374	74,806	15,525	2,735
8017	372	74,424	15,523	0,012
8018	375	74,846	15,554	0
8019	305	60,98	11,219	8,635
8020	316	63,06	11,96	1,977
8021	328	65,502	12,673	4,69

9001	377	75,44	15,255	12,066
9002	391	78,106	15,965	6,825
9003	391	78,152	16	10,34
9004	392	78,354	16,062	8,577
9005	394	78,65	16,254	6,941
9006	401	80,114	16,75	10,268
9007	399	79,794	17,227	8,568
9008	400	79,99	16,921	2,287
9009	400	79,896	16,726	10,258
9010	399	79,754	16,712	8,625
9011	402	80,34	17,148	6,246
9012	401	80,056	17,001	4,535
9013	401	80,206	17,023	8,576
9014	400	79,942	16,992	1,756
9015	407	81,328	17,467	4,581
9016	400	80,064	16,874	10,223
9017	402	80,388	17,35	2,212
9018	408	81,508	17,601	8,575
9019	405	80,864	17,1	0,541
9020	402	80,398	17,223	6,206
9021	405	81,024	17,123	4,538
9022	405	80,85	17,403	2,202
9023	411	82,038	17,508	8,62
9024	406	81,07	17,457	0,59
9025	406	81,086	17,7	4,57
9026	406	81,174	17,781	3,394
9027	409	81,648	17,788	0,647
9028	408	81,454	17,574	3,417
9029	407	81,334	17,759	2,182
9030	409	81,682	17,769	0,624
9031	408	81,58	17,961	3,412
9032	413	82,554	18,02	3,417
9033	412	82,214	18,03	0,665
9034	411	82,108	18,234	0,569
9035	396	79,152	16,609	6,964
9036	401	80,148	17,348	6,261
9037	406	81,086	17,456	0,546
9038	300	81,64	17,97	8,605
9039	300	82,768	18,021	4,676
9040	408	81,566	17,748	3,428
9041	407	81,296	17,814	1,804
9042	348	69,476	13,242	1,211
9043	358	71,604	14,251	5,292
9044	359	71,584	14,496	1,362
9045	374	74,602	15,018	5,238
9046	344	68,608	13,517	2,625
9047	374	74,818	15,272	2,753
9048	372	74,206	14,954	3,973
9049	370	73,924	15,089	7,99

10001	426	85,108	18,12	3,385
10002	431	86,128	18,828	8,508
10003	428	85,518	18,046	1,131
10004	432	86,098	18,638	0,493
10005	433	86,446	18,754	5,744
10006	434	86,774	18,688	6,862
10007	438	87,6	19,036	5,142
10008	457	91,362	20,033	4,752
10009	434	86,78	18,679	2,893
10010	442	88,264	19,759	2,421
10011	441	88,206	19,402	2,81
10012	436	87,164	19,159	4,051
10013	448	89,51	19,882	1,153
10014	442	88,388	19,312	6,887
10015	437	87,398	19,354	1,667
10016	438	87,698	19,504	2,877
10017	435	86,958	19,275	0,025
10018	442	88,366	19,388	2,901
10019	441	88,166	19,492	1,591
10020	440	87,99	19,234	5,156
10021	441	88,132	19,336	6,816
10022	468	93,72	21,036	0,806
10023	443	88,624	19,704	4,011
10024	442	88,348	19,552	5,135
10025	449	89,812	19,881	6,757
10026	444	88,704	19,489	1,164
10027	449	89,806	20,155	3,999
10028	441	88,162	19,506	2,414
10029	447	89,394	19,944	2,883
10030	444	88,77	20,034	5,209
10031	443	88,5	19,624	0,047
10032	447	89,284	20,024	1,246
10033	446	89,234	19,72	0,028
10034	438	87,632	19,174	2,321
10035	443	88,57	19,505	1,13
10036	444	88,708	19,602	5,181
10037	445	89,05	19,971	0,04
10038	444	88,738	19,945	5,118
10039	469	93,874	20,93	7,277
10040	447	89,396	20,272	3,955
10041	447	89,258	20,35	2,812
10042	453	90,67	20,326	0,03
10043	447	89,278	20,174	0,034
10044	445	88,986	20,204	2,748
10045	450	89,908	20,911	0,082
10046	436	87,058	19,096	8,489
10047	437	87,288	19,432	5,701
10048	437	87,308	19,246	0,028
10049	444	88,866	20,047	10,807
10050	439	87,746	19,601	6,862
10051	441	88,244	19,796	3,98
10052	440	88,03	19,44	1,626
10053	445	88,994	19,974	9,203
10054	437	87,438	19,434	1,722
10055	442	88,286	20,264	9,183
10056	445	88,952	19,991	6,801
10057	449	89,672	20,463	4,055
10058	447	89,396	20,054	1,23
10059	446	89,144	20,213	2,797
10060	447	89,456	20,355	1,144
10061	436	87,232	19,574	4,435
10062	448	89,572	19,725	5,567
10063	442	88,426	19,899	9,126
10064	437	87,408	19,205	2,847
10065	442	88,352	19,629	4,04
10066	445	88,942	20,215	10,74
10067	447	89,384	20,486	5,132
10068	440	88,054	19,491	2,378
10069	445	89,002	20,367	4,061
10070	483	96,688	22,613	2,563
10071	447	89,4	20,348	0,011
10072	452	90,428	20,086	6,77
10073	447	89,424	20,317	4,059
10074	442	88,296	19,582	5,158
10075	445	88,89	20,142	1,201
10076	447	89,284	19,993	6,816
10077	442	88,5	19,756	3,962
10078	448	89,536	20,334	6,842
10079	445	88,884	19,795	0,004
10080	447	89,388	20,266	10,876
10081	450	89,93	20,97	0,056
10082	444	88,76	19,564	2,827
10083	454	90,712	20,585	3,922
10084	456	91,214	20,492	3,952
10085	444	88,694	20,158	5,59
10086	448	89,68	20,258	1,237
10087	447	89,428	20,417	1,132
10088	452	90,4	20,947	0,04
10089	493	98,642	22,395	4,063
10090	449	89,824	20,452	1,084
10091	463	92,602	20,141	0,064
10092	448	89,538	20,582	6,744
10093	444	88,684	20,399	1,618
10094	447	89,404	20,395	2,764
10095	453	90,632	20,783	4,116
10096	448	89,474	20,533	1,223
10097	446	89,272	20,616	5,183
10098	450	89,894	20,491	6,846
10099	462	92,482	20,45	0,004
10100	443	88,636	19,73	5,635
10101	494	98,87	23,299	9,068
10102	446	89,188	19,976	1,174
10103	444	88,716	19,922	3,968
10104	452	90,494	20,379	0,009
10105	451	90,092	20,615	2,742
10106	452	90,456	20,503	2,814
10107	456	91,116	20,608	0,086
10108	445	89,07	19,828	1,561
10109	495	99,032	23,709	0,109
10110	449	89,862	20,38	2,797
10111	449	89,86	20,322	6,797
10112	447	89,488	20,31	2,756
10113	451	90,128	20,589	3,999
10114	446	89,22	20,365	1,171
10115	452	90,364	20,844	0,034
10116	463	92,552	20,672	2,751
10117	498	99,732	23,773	4,099
10118	454	90,758	20,617	0,042
10119	451	90,212	20,676	1,218
10120	451	90,12	20,737	9,285
10121	501	100,278	23,734	4,055
10122	449	89,74	20,577	1,185
10123	461	92,344	20,994	0
10124	355	71,028	14,703	11,412
10125	375	75,006	15,598	0,896
10126	403	80,596	16,982	4,727
10127	401	80,096	17,119	7,53
10128	390	77,86	16,348	9,938
10129	394	78,838	16,52	0,817
10130	401	80,104	17,179	3,154
10131	408	81,542	16,848	5,824
10132	375	74,998	15,162	3,528
10133	393	78,504	16,657	6,018
10134	393	78,572	16,802	10,086
10135	412	82,396	17,537	0,569
10136	390	77,968	16,708	1,934
10137	407	81,346	17,696	1,833
10138	413	82,64	17,39	2,209
10139	374	74,65	15,15	11,421
10140	370	73,81	15,251	3,368
10141	386	77,124	15,858	2,014
10142	395	78,984	16,488	9,971
10143	394	78,68	16,881	4,792
10144	358	71,426	14,336	1,644
10145	385	76,876	15,971	7,359
10146	400	79,916	16,937	0,803
10147	396	79,122	16,861	1,948
10148	398	79,594	17,168	4,791
10149	407	81,282	17,66	7,525
10150	402	80,322	17,294	5,999
10151	424	84,806	18,028	3,13
10152	396	79,116	17,206	11,706
10153	402	80,402	17,603	0,837
10154	417	83,294	18,095	9,719
10155	390	78,002	16,636	2,155
10156	400	79,894	17,07	3,258
10157	407	81,404	17,562	7,42
10158	410	81,918	17,594	0,659
10159	403	80,548	17,427	4,718
10160	408	81,562	17,372	5,538
10161	381	76,086	15,459	9,171
10162	381	76,08	15,514	9,166
10163	405	80,934	17,368	3,479
10164	429	85,85	18,852	3,064
10165	415	82,892	17,786	0,597
10166	415	83,05	18,545	5,767

Remark. One should be aware that the values listed in the table are not rigorous.
They were found numerically and they will be changing as further, more precise calulations are performed.

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PARAMETERS OF THE MOST TIGHT CONFORMATIONS OF ALL PRIME KNOTS WITH UP TO 10 CROSSINGS AS FOUND BY THE SONO ALGORITHM

PARAMETERS
OF THE MOST TIGHT CONFORMATIONS
OF ALL PRIME KNOTS WITH UP TO 10 CROSSINGS
AS FOUND BY THE SONO ALGORITHM