Crossref: flat and virtual knots
Invariant Table Check a Knot Higher Crossing Crossref Virtual Knots Please cite FlatKnotInfo
Glossary Reference List

VirtualKnot Flat knot
vk6.31637 4.5
vk6.31638 0
vk6.31639 0
vk6.31640 0
vk6.31641 0
vk6.31642 0
vk6.31643 6.448
vk6.31644 6.1143
vk6.31645 0
vk6.31646 4.3
vk6.31647 6.310
vk6.31648 6.314
vk6.31649 4.3
vk6.31650 0
vk6.31651 0
vk6.31652 0
vk6.31653 0
vk6.31654 0
vk6.31655 0
vk6.31656 0
vk6.31657 0
vk6.31658 0
vk6.31659 6.1103
vk6.31660 6.307
vk6.31661 0
vk6.31662 4.3
vk6.31663 6.858
vk6.31664 6.112
vk6.31665 4.3
vk6.31666 0
vk6.31667 0
vk6.31668 0
vk6.31669 0
vk6.31670 0
vk6.31671 0
vk6.31672 0
vk6.31673 0
vk6.31674 6.454
vk6.31675 6.1194
vk6.31676 0
vk6.31677 4.3
vk6.31678 6.346
vk6.31679 6.352
vk6.31680 4.3
vk6.31681 0
vk6.31682 0
vk6.31683 0
vk6.31684 0
vk6.31685 6.1615
vk6.31686 6.1551
vk6.31687 6.797
vk6.31688 6.1579
vk6.31689 6.659
vk6.31690 6.1088
vk6.31691 6.749
vk6.31692 6.1954
vk6.31693 6.627
vk6.31694 6.984
vk6.31695 6.116
vk6.31696 6.333
vk6.31697 6.686
vk6.31698 6.2042
vk6.31699 6.211
vk6.31700 6.1947
vk6.31701 6.2054
vk6.31702 6.370
vk6.31703 6.1974
vk6.31704 6.788
vk6.31705 6.877
vk6.31706 6.451
vk6.31707 6.1485
vk6.31708 6.1443
vk6.31709 6.997
vk6.31710 6.600
vk6.31711 6.324
vk6.31712 6.819
vk6.31713 6.1841
vk6.31714 6.979
vk6.31715 6.1080
vk6.31716 6.1608
vk6.31717 0
vk6.31718 4.6
vk6.31719 4.2
vk6.31720 0
vk6.31721 0
vk6.31722 4.6
vk6.31723 4.2
vk6.31724 0
vk6.31725 4.3
vk6.31726 6.1158
vk6.31727 6.120
vk6.31728 4.3
vk6.31729 0
vk6.31730 6.1820
vk6.31731 6.400
vk6.31732 0
vk6.31733 0
vk6.31734 4.2
vk6.31735 4.6
vk6.31736 0
vk6.31737 0
vk6.31738 4.2
vk6.31739 4.6
vk6.31740 0
vk6.31741 4.3
vk6.31742 6.891
vk6.31743 6.362
vk6.31744 4.3
vk6.31745 0
vk6.31746 6.1149
vk6.31747 6.1263
vk6.31748 0
vk6.31749 6.2058
vk6.31750 6.1864
vk6.31751 6.798
vk6.31752 6.1679
vk6.31753 6.1941
vk6.31754 6.1115
vk6.31755 6.692
vk6.31756 6.1291
vk6.31757 6.985
vk6.31758 0
vk6.31759 6.456
vk6.31760 6.1975
vk6.31761 6.2043
vk6.31762 6.390
vk6.31763 6.649
vk6.31764 6.2020
vk6.31765 6.1129
vk6.31766 6.1514
vk6.31767 6.610
vk6.31768 6.1264
vk6.31769 0
vk6.31770 0
vk6.31771 4.3
vk6.31772 0
vk6.31773 0
vk6.31774 0
vk6.31775 4.3
vk6.31776 0
vk6.31777 6.1159
vk6.31778 6.127
vk6.31779 4.3
vk6.31780 0
vk6.31781 6.1842
vk6.31782 6.402
vk6.31783 4.3
vk6.31784 0
vk6.31785 0
vk6.31786 0
vk6.31787 6.916
vk6.31788 6.1265
vk6.31789 4.5
vk6.31790 0
vk6.31791 0
vk6.31792 4.10
vk6.31793 6.315
vk6.31794 6.1085
vk6.31795 6.635
vk6.31796 6.1937
vk6.31797 6.327
vk6.31798 6.1162
vk6.31799 6.862
vk6.31800 4.5
vk6.31801 0
vk6.31802 0
vk6.31803 0
vk6.31804 0
vk6.31805 6.1853
vk6.31806 6.920
vk6.31807 6.810
vk6.31808 0
vk6.31809 6.811
vk6.31810 6.638
vk6.31811 6.678
vk6.31812 6.1938
vk6.31813 6.1362
vk6.31814 6.1731
vk6.31815 6.678
vk6.31816 6.1938
vk6.31817 6.332
vk6.31818 6.332
vk6.31819 6.922
vk6.31820 6.1091
vk6.31821 6.1808
vk6.31822 6.1808
vk6.31823 6.1852
vk6.31824 6.2050
vk6.31825 6.1617
vk6.31826 6.1617
vk6.31827 6.1852
vk6.31828 6.2050
vk6.31829 6.1741
vk6.31830 6.1741
vk6.31831 6.922
vk6.31832 6.1091
vk6.31833 6.638
vk6.31834 6.811
vk6.31835 6.1170
vk6.31836 6.680

VirtualKnot Flat knot
vk6.31837 6.1731
vk6.31838 6.1362
vk6.31839 6.1170
vk6.31840 6.680
vk6.31841 6.636
vk6.31842 6.208
vk6.31843 6.1444
vk6.31844 6.268
vk6.31845 6.1416
vk6.31846 6.631
vk6.31847 6.325
vk6.31848 6.203
vk6.31849 6.850
vk6.31850 6.1065
vk6.31851 6.1548
vk6.31852 6.1850
vk6.31853 6.1429
vk6.31854 6.1071
vk6.31855 6.1895
vk6.31856 6.1152
vk6.31857 6.705
vk6.31858 6.901
vk6.31859 6.807
vk6.31860 6.579
vk6.31861 6.317
vk6.31862 6.1026
vk6.31863 6.484
vk6.31864 6.1168
vk6.31865 6.637
vk6.31866 6.209
vk6.31867 6.1782
vk6.31868 6.677
vk6.31869 4.6
vk6.31870 6.653
vk6.31871 6.330
vk6.31872 6.120
vk6.31873 6.1797
vk6.31874 6.1461
vk6.31875 6.1549
vk6.31876 6.1851
vk6.31877 6.1458
vk6.31878 6.1076
vk6.31879 6.1795
vk6.31880 6.1840
vk6.31881 4.2
vk6.31882 6.903
vk6.31883 6.812
vk6.31884 6.362
vk6.31885 6.1337
vk6.31886 6.1893
vk6.31887 6.531
vk6.31888 6.1169
vk6.31889 6.208
vk6.31890 6.636
vk6.31891 6.268
vk6.31892 6.1444
vk6.31893 6.631
vk6.31894 6.1416
vk6.31895 6.203
vk6.31896 6.325
vk6.31897 6.1065
vk6.31898 6.850
vk6.31899 6.1850
vk6.31900 6.1548
vk6.31901 6.1071
vk6.31902 6.1152
vk6.31903 6.1895
vk6.31904 6.901
vk6.31905 6.705
vk6.31906 6.579
vk6.31907 6.807
vk6.31908 6.1026
vk6.31909 6.317
vk6.31910 6.1168
vk6.31911 6.484
vk6.31912 6.1951
vk6.31913 6.2061
vk6.31914 6.1633
vk6.31915 6.1115
vk6.31916 6.798
vk6.31917 6.856
vk6.31918 6.2034
vk6.31919 6.1550
vk6.31920 6.1072
vk6.31921 6.1964
vk6.31922 6.2046
vk6.31923 6.1945
vk6.31924 6.1223
vk6.31925 6.1679
vk6.31926 6.1035
vk6.31927 6.456
vk6.31928 6.390
vk6.31929 6.726
vk6.31930 6.692
vk6.31931 6.384
vk6.31932 6.1872
vk6.31933 6.1570
vk6.31934 6.1033
vk6.31935 6.496
vk6.31936 6.209
vk6.31937 6.637
vk6.31938 6.677
vk6.31939 6.1782
vk6.31940 6.653
vk6.31941 6.120
vk6.31942 6.330
vk6.31943 6.1461
vk6.31944 6.1797
vk6.31945 6.1851
vk6.31946 6.1549
vk6.31947 6.1076
vk6.31948 6.1458
vk6.31949 6.1840
vk6.31950 6.1795
vk6.31951 6.903
vk6.31952 6.362
vk6.31953 6.812
vk6.31954 6.1893
vk6.31955 6.1337
vk6.31956 6.1169
vk6.31957 6.531
vk6.31958 6.211
vk6.31959 6.725
vk6.31960 6.686
vk6.31961 6.1605
vk6.31962 6.1110
vk6.31963 6.1747
vk6.31964 6.1631
vk6.31965 6.1430
vk6.31966 6.218
vk6.31967 6.527
vk6.31968 6.961
vk6.31969 6.1156
vk6.31970 6.1952
vk6.31971 6.1579
vk6.31972 6.2035
vk6.31973 6.1551
vk6.31974 6.1080
vk6.31975 6.1965
vk6.31976 6.1841
vk6.31977 6.2062
vk6.31978 6.581
vk6.31979 6.727
vk6.31980 6.1180
vk6.31981 6.895
vk6.31982 4.5
vk6.31983 0
vk6.31984 4.10
vk6.31985 6.353
vk6.31986 6.1104
vk6.31987 6.642
vk6.31988 6.1939
vk6.31989 6.353
vk6.31990 6.328
vk6.31991 6.1164
vk6.31992 6.864
vk6.31993 4.5
vk6.31994 0
vk6.31995 0
vk6.31996 4.10
vk6.31997 0
vk6.31998 0
vk6.31999 6.1164
vk6.32000 6.1855
vk6.32001 6.926
vk6.32002 6.1104
vk6.32003 6.642
vk6.32004 6.814
vk6.32005 6.926
vk6.32006 6.328
vk6.32007 0
vk6.32008 0
vk6.32009 0
vk6.32010 0
vk6.32011 6.1581
vk6.32012 6.1673
vk6.32013 6.2036
vk6.32014 6.1533
vk6.32015 6.1732
vk6.32016 6.1363
vk6.32017 6.1940
vk6.32018 6.689
vk6.32019 6.335
vk6.32020 6.370
vk6.32021 6.1093
vk6.32022 6.924
vk6.32023 6.1276
vk6.32024 6.788
vk6.32025 6.1955
vk6.32026 6.1019
vk6.32027 6.1433
vk6.32028 6.1996
vk6.32029 6.1629
vk6.32030 6.1498
vk6.32031 6.1746
vk6.32032 6.1743
vk6.32033 6.1109
vk6.32034 6.930
vk6.32035 6.815
vk6.32036 6.646

VirtualKnot Flat knot
vk6.32037 6.687
vk6.32038 6.1037
vk6.32039 6.1662
vk6.32040 6.1536
vk6.32041 6.1512
vk6.32042 6.1827
vk6.32043 6.1673
vk6.32044 6.1581
vk6.32045 6.1533
vk6.32046 6.2036
vk6.32047 6.1363
vk6.32048 6.1732
vk6.32049 6.689
vk6.32050 6.1940
vk6.32051 6.370
vk6.32052 6.335
vk6.32053 6.924
vk6.32054 6.1093
vk6.32055 6.788
vk6.32056 6.1276
vk6.32057 6.1019
vk6.32058 6.1955
vk6.32059 6.1996
vk6.32060 6.1433
vk6.32061 6.1498
vk6.32062 6.1629
vk6.32063 6.1743
vk6.32064 6.1746
vk6.32065 6.930
vk6.32066 6.1109
vk6.32067 6.646
vk6.32068 6.815
vk6.32069 6.1037
vk6.32070 6.687
vk6.32071 6.1536
vk6.32072 6.1662
vk6.32073 6.1827
vk6.32074 6.1512
vk6.32075 6.1624
vk6.32076 6.785
vk6.32077 6.1557
vk6.32078 6.1531
vk6.32079 6.1445
vk6.32080 6.341
vk6.32081 6.1417
vk6.32082 6.640
vk6.32083 6.326
vk6.32084 6.231
vk6.32085 6.851
vk6.32086 6.1070
vk6.32087 6.547
vk6.32088 6.136
vk6.32089 6.2011
vk6.32090 6.1621
vk6.32091 6.2025
vk6.32092 6.1900
vk6.32093 6.552
vk6.32094 6.1209
vk6.32095 6.1896
vk6.32096 6.1153
vk6.32097 6.740
vk6.32098 6.907
vk6.32099 6.813
vk6.32100 6.583
vk6.32101 6.318
vk6.32102 6.956
vk6.32103 6.1604
vk6.32104 6.1078
vk6.32105 6.1273
vk6.32106 6.1078
vk6.32107 6.1860
vk6.32108 6.2047
vk6.32109 6.1428
vk6.32110 6.1634
vk6.32111 6.860
vk6.32112 6.1094
vk6.32113 6.2012
vk6.32114 6.1972
vk6.32115 6.2014
vk6.32116 6.1901
vk6.32117 6.673
vk6.32118 6.1602
vk6.32119 6.1744
vk6.32120 6.1224
vk6.32121 6.741
vk6.32122 6.1036
vk6.32123 6.648
vk6.32124 6.584
vk6.32125 6.385
vk6.32126 6.694
vk6.32127 6.1767
vk6.32128 6.1246
vk6.32129 6.1277
vk6.32130 6.1522
vk6.32131 6.1580
vk6.32132 6.1467
vk6.32133 6.1863
vk6.32134 6.1532
vk6.32135 6.1772
vk6.32136 6.754
vk6.32137 6.1421
vk6.32138 4.6
vk6.32139 4.2
vk6.32140 6.237
vk6.32141 6.986
vk6.32142 6.964
vk6.32143 6.1275
vk6.32144 6.389
vk6.32145 6.1982
vk6.32146 6.1018
vk6.32147 6.1424
vk6.32148 6.1984
vk6.32149 6.672
vk6.32150 6.1497
vk6.32151 6.1771
vk6.32152 6.1493
vk6.32153 6.753
vk6.32154 4.6
vk6.32155 4.2
vk6.32156 6.588
vk6.32157 6.603
vk6.32158 6.1184
vk6.32159 6.1657
vk6.32160 6.1215
vk6.32161 6.1397
vk6.32162 6.1928
vk6.32163 4.7
vk6.32164 4.6
vk6.32165 4.8
vk6.32166 4.11
vk6.32167 4.8
vk6.32168 0
vk6.32169 4.9
vk6.32170 4.6
vk6.32171 6.529
vk6.32172 6.240
vk6.32173 6.1160
vk6.32174 6.967
vk6.32175 6.1336
vk6.32176 6.401
vk6.32177 6.1891
vk6.32178 6.1022
vk6.32179 4.6
vk6.32180 4.9
vk6.32181 0
vk6.32182 4.8
vk6.32183 4.11
vk6.32184 4.8
vk6.32185 4.6
vk6.32186 4.7
vk6.32187 6.733
vk6.32188 6.590
vk6.32189 6.896
vk6.32190 6.1186
vk6.32191 6.1769
vk6.32192 6.1249
vk6.32193 6.1490
vk6.32194 6.1922
vk6.32195 6.785
vk6.32196 6.1624
vk6.32197 6.1531
vk6.32198 6.1557
vk6.32199 6.341
vk6.32200 6.1445
vk6.32201 6.640
vk6.32202 6.1417
vk6.32203 6.231
vk6.32204 6.326
vk6.32205 6.1070
vk6.32206 6.851
vk6.32207 6.136
vk6.32208 6.547
vk6.32209 6.1621
vk6.32210 6.2011
vk6.32211 6.1900
vk6.32212 6.2025
vk6.32213 6.1209
vk6.32214 6.552
vk6.32215 6.1153
vk6.32216 6.1896
vk6.32217 6.907
vk6.32218 6.740
vk6.32219 6.583
vk6.32220 6.813
vk6.32221 6.956
vk6.32222 6.318
vk6.32223 6.1078
vk6.32224 6.1604
vk6.32225 6.1078
vk6.32226 6.1273
vk6.32227 6.2047
vk6.32228 6.1860
vk6.32229 6.1634
vk6.32230 6.1428
vk6.32231 6.1094
vk6.32232 6.860
vk6.32233 6.1972
vk6.32234 6.2012
vk6.32235 6.1901
vk6.32236 6.2014
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