Table 1, Atlas of oriented knots and links

Oriented link w 2l s Symmetry Chirality detected by Chirality specifier
31+-30-3c, i2L see figures below
41+000a, i

51+-50-5c, i2L
52+-50-5c, i2L
61+-20-2c, i2L
62+-20-2c, i2L
63+000a, i

71+-70-7c, i2L
72+-70-7c, i2L
73++70+7c, i2D
74++70+7c, i2D
75+-70-7c, i2L
76+-30-3c, i2L
77++10+1c, i2D
81+-40-4c, i2L
82+-40-4c, i2L
83+000a, i
84+000c, i3D
85++40+4c, i2D
86+-40-4c, i2L
87++20+2c, i2D see figures below
88++20+2c, i2D
89+000a, i
810++20+2c, i2D
811+-40-4c, i2L
812+000a, i
813++20+2c, i2D
814+-40-4c, i2L
815+-80-8c, i2L
816+-20-2c, i2L
817+ = 817-*000c, n, -A5L
818+000a, i
91+-90-9c, i2L
92+-90-9c, i2L
93++90+9c, i2D
94+-90-9c, i2L
95++90+9c, i2D
96+-90-9c, i2L
97+-90-9c, i2L
98+-10-1c, i2L
99+-90-9c, i2L see figures below
910++90+9c, i2D
911++50+5c, i2D
912+-50-5c, i2L
913++90+9c, i2D
914++30+3c, i2D
915++50+5c, i2D
916++90+9c, i2D
917+-50-5c, i2L
918+-90-9c, i2L
919+-10-1c, i2L
920+-50-5c, i2L
921++50+5c, i2D
922++10+1c, i2D
923+-90-9c, i2L
924+-10-1c, i2L
925+-50-5c, i2L
926++30+3c, i2D
927+-10-1c, i2L
928+-30-3c, i2L
929+-10-1c, i2L see figures below
930+-10-1c, i2L
931+-10-1c, i2L
932+ (932-)+30+3c, n2D(D)
933+ (933-)-10-1c, n2L(L)
934+-10-1c, i2L
935+-90-9c, i2L
936++50+5c, i2D
937+-10-1c, i2L
938+-90-9c, i2L
939++50+5c, i2D
940+-30-3c, i2L
941+-30-3c, i2L
101+-60-6c, i2L
102+-60-6c, i2L
103+-20-2c, i2L
104++20+2c, i2D
105++40+4c, i2D
106+-60-6c, i2L
107+-60-6c, i2L
108+-20-2c, i2L see figures below
109++20+2c, i2D
1010++40+4c, i2D
1011+-20-2c, i2L
1012++40+4c, i2D
1013+-20-2c, i2L
1014++60+6c, i2D
1015+000c, i3L
1016++20+2c, i2D
1017+000a, i
1018+-20-2c, i2L
1019+000c, i3D
1020+-60-6c, i2L
1021+-60-6c, i2L
1022++20+2c, i2D
1023++40+4c, i2D
1024+-60-6c, i2L
1025+-60-6c, i2L
1026++20+2c, i2D
1027+-40-4c, i2L
1028++40+4c, i2D see figures below
1029+-20-2c, i2L
1030+-60-6c, i2L
1031+000c, i4D
1032+-20-2c, i2L
1033+000a, i
1034++40+4c, i2D
1035++20+2c, i2D
1036+-60-6c, i2L
1037+000a, i
1038+-60-6c, i2L
1039+-60-6c, i2L
1040++60+6c, i2D
1041+-20-2c, i2L
1042+000c, i4D
1043+000a, i
1044+-20-2c, i2L
1045+000a, i
1046++60+6c, i2D
1047++40+4c, i2D
1048+000c, i4D see figures below
1049+-100-10c, i2L
1030++60+6c, i2D
1051++40+4c, i2D
1052+000c, i3L
1053+-100-10c, i2L
1054+000c, i3L
1055+-100-10c, i2L
1056++60+6c, i2D
1057++40+4c, i2D
1058+-20-2c, i2L
1059++20+2c, i2D
1060+-20-2c, i2L
1061++20+2c, i2D
1062++40+4c, i2D
1063+-100-10c, i2L
1064++20+2c, i2D
1065++40+4c, i2D
1066+-100-10c, i2L
1067+ (1067-)-60-6c, n2L(L)
1068+-40-4c, i2L see figures below
1069++40+4c, i2D
1070++20+2c, i2D
1071+000c, i5D
1072++60+6c, i2D
1073+-40-4c, i2L
1074+-60-6c, i2L
1075++20+2c, i2D
1076++60+6c, i2D
1077++40+4c, i2D
1078+-60-6c, i2L
1079+ = 1079-*000c, n, -A5L
1080+ (1080-)-100-10c, n2L(L)
1081+ = 1081-*000c, n, -A5L
1082+ (1082-)-20-2c, n2L(L)
1083+ (1083-)+40+4c, n2D(D)
1084+ (1084-)+40+4c, n2D(D)
1085+ (1085-)-40-4c, n2L(L)
1086+ (1086-)+20+2c, n2D(D)
1087+ (1087-)+20+2c, n2D(D)
1088+ = 1088-*000c, n, -A5undet. seefigures below
1089+-40-4c, i2L
1090+ (1090-)+20+2c, n2D(D)
1091+ (1091-)000c, n5D(L)
1092+ (1092-)+60+6c, n2D(D)
1093+ (1093-)000c, n3D(D)
1094+ (1094-)+20+2c, n2D(D)
1095+ (1095-)+40+4c, n2D(D)
1096++20+2c, i2D
1097++60+6c, i2D
1098+ (1098-)-60-6c, n2L(L)
1099+000a, i
10100+-40-4c, i2L
10101++100+10c, i2D
10102+ (10102-)+40+4c, n2D(D)
10103+-40-4c, i2L
10104+000c, i4D
10105++20+2c, i2D
10106+ (10106-)+20+2c, n2D(D)
10107+ (10107-)000c, n4D(D)
10108+000c, i3L see figures below
10109+ = 10109-*000c, n, -A5L
10110+ (10110-)-20-2c, n2L(L)
10111++60+6c, i2D
10112+-20-2c, i2L
10113++40+4c, i2D
10114+-20-2c, i2L
10115+ = 10115-*000c, n, -A5undet.
10116+-20-2c, i2L
10117+ (10117-)+40+4c, n2D(D)
10118+ = 10118-*000c, n, -A5L
10119+ (10119-)+20+2c, n2D(D)
10120+-100-10c, i2L
10121+-40-4c, i2L
10122++20+2c, i2D
10123+000a, i

Oriented link w 2l s Symmetry Chirality detected by Chirality specifier
221++ = 221+-*+2+20c, i1D see figures below
421+++4+40c, i1D
421+--4-40c, i1L
521++ = 521+--10-1c, i1L
621++-6-60c, i1L
621+-+6+60c, i1D
622++ = 622+-*-6-60c, i1L see figures below
623++-6-4-2c, i1L
623+-+2+4-2c, i1D
721++-3-2-1c, i1L
721+-+1+2-1c, i1D
722++-3-2-1c, i1L
722+-+1+2-1c, i1D
723++ = 723+--30-3c, i1L
724++ = 724+-+30+3c, i1D
725++-7-4-3c, i1L
725+-+1+4-3c, i1D
726++ = 726+--10-1c, i1L
821++-8-80c, i1L
821+-+8+80c, i1D
822+++8+80c, i1D
822+--8-80c, i1L
823++-8-6-2c, i1L
823+-+4+6-2c, i1D
824+++8+80c, i1D
824+--8-80c, i1L
825++-8-6-2c, i1L
825+-+4+6-2c, i1D
826++-8-4-4c, i1L
826+-0+4-4c, i1D
827++0+2-2c, i1D
827+--4-2-2c, i1L
828++ = 828+-*+2+20c, i1D
829++-4-40c, i1L
829+-+4+40c, i1D
8210++ = 8210+-000c, i1L
8211+++8+4+4c, i1D
8211+-0-4+4c, i1L
8212++ = 8212+--20-2c, i1L
8213++ = 8213+--20-2c, i1L see figures below
8214+++8+4+4c, i1D
8214+-0-4+4c, i1L
921++-5-4-1c, i1L
921+-+3+4-1c, i1D
922+++3+4-1c, i1D
922+--5-4-1c, i1L
923++-5-2-3c, i1L
923+--1+2-3c, i1D
924++ = 924+--10-1c, i1L
925+++10+1c, i1D
925+-+10+1c, i1D
926++-5-4-1c, i1L
926+-+3+4-1c, i1D
927++-5-4-1c, i1L
927+-+3+4-1c, i1D
928++-1+2-3c, i1D
928+--5-2-3c, i1L
929++ = 929+-+10+1c, i1D
9210++ = 9210+--40-4c, i1L
9211++-5-2-3c, i1L
9211+--1+2-3c, i1D
9212+++3+2+1c, i1D
9212+--1-2+1c, i1L
9213++ = 9213+-+50+5c, i1D
9214++-9-4-5c, i1L
9214+--1+4-5c, i1D
9215++ = 9215+-+50+5c, i1D
9216++-1+4-5c, 1D
9216+--9-4-5c, i1L
9217++-9-4-5c, i1L
9217+--1+4-5c, i1D
9218++ = 9218+-+50+5c, i1D
9219+++5+2+3c, i1D
9219+-+1-2+3c, i1L see figures below
9220+++3+6-3c, i1D
9220+--9-6-3c, i1L
9221+++5+2+3c, i1D
9221+-+1-2+3c, i1L
9222+++3+6-3c, i1D
9222+--9-6-3c, i1L
9223+++3+4-1c, i1D
9223+--5-4-1c, i1L
9224+++3+6-3c, i1D
9224+--9-6-3c, i1L
9225++ = 9225+-+10+1c, i1D
9226+++5+4+1c, i1D
9226+--3-4+1c, i1L
9227++ = 9227+-+50+5c, i1D
9228+++3+4-1c, i1D
9228+--5-4-1c, i1L
9229++-9-4-5c, i1L
9229+--1+4-5c, i1D
9230+++1-4+5c, i1L
9230+-+9+4+5c, i1D
9231++ = 9231+--30-3c, i1L
9232++ = 9232+--30-3c, i1L
9233++ = 9233+-+30+3c, i1D
9234++ (9234--)-1-2+1c, n1L(L)
9234+- (9234-+)+3+2+1c, n1D(D)
9235++ (9235--)-3-2-1c, n1L(L)
9235+- (9235-+)+1+2-1c, n1D(D)
9236++ = 9236+-+10+1c, i1D
9237++ = 9237+--10-1c, i1L
9238++-3-4+1c, i1L
9238+-+5+4+1c, i1D
9239++ (9239--)+1-2+3c, n1L(L)
9239+- (9239-+)+5+2+3c, n1D(D) see figures below
9240+++9+6+3c, i1D
9240+--3-6+3c, i1L
9241+++10+1c, i1D
9241+-+10+1c, i1D
9242++-1-2+1c, i1L
9242+-+3+2+1c, i1D

Oriented link w 2l s Symmetry Chirality detected by Chirality specifier
631+++-6-60c, i2L see figures below
631++- = 631+-+ = 631+--+2+20c, i2D
632+++ = 632++- = 632+-+ = 632+--000a, i
731+++ = 731++- = 731+-+-1-2+1c, i2L
731+--+7+6+1c, i2D
831+++ = 831+--+4+40c, i2D
831++--8-80c, i2L
831+-+000c, i3L
832+++-8-80c, i2L
832++- = 832+-++4+40c, i2D
832+--000c, i4D
833+++-4-6+2c, i2L
833++- = 833+-+ = 833+--+4+2+2c, i2D
834+++000a, i
834++-000a, i
834+-+ = 834+--*+8+80c, i2D
835+++ = 835+---2-20c, i2L
835++- = 835+-++2+20c, i2D
836+++ = 836+--000a, i
836++- = 836+-+*+4+40c, i2D
931+++ = 931+--+10+1c, i2D
931++--3-4+1c, i2L
931+-++5+4+1c, i2D
932+++-5-4-1c, i2L
932++- = 932+-+-10-1c, i2L
932+--+3+4-1c, i2D
933+++ = 933++-+1-2+3c, i2L
933+-++1-2+3c, i2L
933+--+9+6+3c, i2D
934+++-9-6-3c, i2L
934++--1+2-3c, i2D
934+-+ = 934+---1+2-3c, i2D
935++++9+8+1c, i2D
935++- = 935+-+-3-4+1c, i2L
935+--+10+1c, i2D
936+++ = 936+---3-4+1c, i2L
936++-+9+8+1c, i2D
936+-++10+1c, i2D
937+++ = 937+-+ = 937+--+1-2+3c, i2L
937++-+9+6+3c, i2D
938+++ = 938+-+-5-4-1c, i2L see figures below
938++- = 938+--+3+4-1c, i2D
939+++ = 939++- = 939+-+ = 939+--+10+1c, i2D
9310+++ = 9310+--+1+2-1c, i2D
9310++- = 9310+-+-3-2-1c, i2L
9311+++ = 9311+---3-4+1c, i2L
9311++-+9+8+1c, i2D
9311+-++10+1c, i2D
9312+++ = 9312++--10-1c, i2L
9312+-+ = 9312+---10-1c, i2L

Oriented link w 2l s Symmetry Chirality detected by Chirality specifier
841++++-8-80c,i1L see figures below
841+++- = 841++-+ = 841+-++ = 841+---000c,i1L
841++-- = 841+-+-000c,i1L
841+--++8+80c,i1D
941++++ = 941+++- = 941++-+ = 941+-+--3-4+1c,i1L
941++-- = 941+-++ = 941+--+ = 941+---+5+4+1c,i1D