The knots page explains the above terms and the notation used in the table.
Number Conway b Braid notation
L10(1) [10] = 6:ABCdccbadcBDEdcDcbCdce
= 2:AAAAAAAAAA
L10(2) 73 = 3:aaaaaaaabAb
= 5:aBcdCbCBAbDCBBBBC
L10(3) 622 = 6:ABcDcbacBDEdcDcbCdce
= 3:aBAAAAAAABB
L10(4) 55 = 4:AbCbaBcbbbbbbc
= 4:abCBBBBBBACBcB
L10(5) 523 = 5:abccdCBAccbcDcBdCdd
= 3:aBAAAAAABBB
L10(6) 5122 = 4:AbbbbbCbabCb
= 5:ABCbCdcBaCCbCBBBD
L10(7) 442 = 6:AbCdCBaDcbcDedCdcBcE
= 4:ABBBBBCCbaBcBC
L10(8) 424 = 6:ABcbDEDCbabCdcBcbedc
= 3:aBAAAAABBBB
L10(9) 4213 = 4:abCbAcBcbbbbbc
= 5:aBcdCbCBABDcBBB
L10(10) 41212 = 5:AbCbabCdcBcbDCC
= 4:aBcBBABBBBcB
L10(11) 411112 = 4:AbbbbCbaCbCb
= 5:aBcdCbCBADcBcBB
L10(12) 343 = 4:abCbAcbbcBcccc
= 4:ABBBBCCCbaBcBC
L10(13) 3322 = 5:AbCbabbbCdcBcbD
= 4:ACCCbCBBBaBcBC
L10(14) 3223 = 4:abCbAcBcbbbbcc
= 4:ACCbCBBBBaBcBC
L10(15) 32122 = 5:ABcbbbDCbabCbdc
= 4:aBAAAABBCCbC
L10(16) 3142 = 5:ABcccDcbacbCdCBDc
= 5:AbCdCBaDDcbCCDcBCCC
L10(17) 31213 = 5:abcDcBAdCbbdcBccd
= 4:aBcBBBABBBcB
L10(18) 311212 = 4:AbbbCbaCCbCb
= 5:aBcBBAdCbCBBDcB
L10(19) 3111112 = 5:ABcbbDCbaCbCbdc
= 4:aBcBBABBBcBc
L10(20) 262 = 6:ABcDcbacBCEDcDedCbDc
= 5:ABCbCdcBaCBBBCCbD
L10(21) 23212 = 5:AbCdCBaDcbDDcDcBc
= 5:aBBcdCbCBABDcBB
L10(22) 231112 = 5:AbCbabbCdcBcbDC
= 5:abCdCCBACbcDcBdCd
L10(23) 22222 = 6:ABcDcbacDeDcbcDcBE
= 4:aBAAABBBCCbC
L10(24) 221122 = 5:AbbCbacDccbCDcb
= 5:aBcdCBAcBCdCCBB
L10(25) 21412 = 4:AbCbaCCCCbCb
= 5:abcDcBAdCCBCCdCbC
L10(26) 213112 = 5:AbCdCBaDcbDcDcBcc
= 4:aBcBBABcBccc
L10(27) 2112112 = 5:AbCbabCDcbCDcDC
= 4:aBcBBABBcBcc
L10(28) 42,2,2 = 5:AbbCbbabCdcBcbD
= 6:ABcbdCedCbaBBCDCbEDc
L10(29) 411,2,2 = 5:ABccBaDcbCdCBDc
= 5:aBcdCbCBADcBccB
L10(30) 312,2,2 = 4:AbbbCbabbCbb
= 5:AbCdCbbbaBBCDCb
L10(31) 3111,2,2 = 4:AbbACCCbCb
= 4:aBccBABBBcBc
L10(32) 24,2,2 = 5:ABcDcbaccbCdCBDcc
= 6:AbCCDEDcBaDcbCCeDcBc
L10(33) 231,2,2 = 5:AbCbaDcBccBDc
= 5:abCddCBACbcDcBdCd
L10(34) 213,2,2 = 4:AbbACbCbbb
= 4:aBccBABcBccc
L10(35) 2121,2,2 = 4:AbCbaCCbbCbb
= 5:aBCdCCCBABcBd
L10(36) 2112,2,2 = 4:AbbACCbCbb
= 4:aBccBABBcBcc
L10(37) 21111,2,2 = 4:AbbCbaCbbCbb
= 5:aBCdCCBABcBdd
L10(38) 4,22,2 = 4:abCbAbbbbCbb
= 6:AbCdCBaDcbCCDeDcBcDE
L10(39) 4,211,2 = 4:AbbbbAbCbC
= 5:aBcBAcdCbCBDccB
L10(40) 31,22,2 = 5:abCbAbDcBcbdCbb
= 5:aBCCCdCBAcdCBcB
L10(41) 31,211,2 = 5:AbCbacDcBcBDc
= 4:aBccBBBABcBc
L10(42) 212,3,2 = 4:AbbCbabbbCbb
= 4:aBcccBABcBcc
L10(43) 212,21,2 = 5:aBCCCBAcddCBcBd
= 4:AbCbbAbbAC
L10(44) 2111,3,2 = 4:AbCbaCbbbCbb
= 4:aBcccBABBcBc
L10(45) 2111,21,2 = 5:aBCdCCBBABcBd
= 4:AbCbAbbACC
L10(46) 22,3,3 = 4:AbCbabbbCbbb
= 5:AbCdCBaDcDCCCbCCDcB
L10(47) 22,3,3 = 4:AbCbabbbCbbb
= 5:AbCdCBaDcDCCCbCCDcB
L10(48) 22,21,21 = 5:aBCCCBBAcdCBcBd
= 5:AbCbabCbCDDcD
L10(49) 211,3,21 = 5:ABcDcbaccDcbCdCBD
= 4:aBcccBBABcBc
L10(50) 3,3,2,2 = 4:AbbcbbabbbCbbb
= 4:aBcccBABcccB
L10(51) 3,21,2,2 = 4:ABBcccBaBccB
= 4:AbbbACbbCC
L10(52) 21,21,2,2 = 4:aBccBBABBccB
= 5:abCDDDCCBACBCdCbC
L10(53) 3,2,3,2 = 4:AbbbACbbbC
= 4:AbbcbbbabbCbbb
L10(54) 3,2,21,2 = 4:ABcccBaBccBB
= 4:aBccBBABcccB
L10(55) 21,2,21,2 = 4:AbbACbbACC
= 5:abCDDDCBACCBCdCbC
L10(56) 5,2,2+ = 4:ABcccccBaBcB
= 3:aaaaaabbAbb
L10(57) 41,2,2+ = 4:AbACCCCbbC
= 4:aBcBBBBABccB
L10(58) 32,2,2+ = 5:ABcDcbaddCbCdCBCd
= 4:abCbAcccbbbccB
L10(59) 311,2,2+ = 5:ABccBaDcbCdCBDD
= 5:aBcdCbCBBABDccB
L10(60) 23,2,2+ = 5:ABcBaDDccbCdCBD
= 5:aBccBAdCbCBDcBB
L10(61) 221,2,2+ = 5:ABccDcbadCbCdCBCd
= 4:abbCbbAcBcbbbc
L10(62) 4,3,2+ = 3:aaaaabbAbbb
= 5:ABcBaDcccbCdCBD
L10(63) 4,21,2+ = 4:ABBccccBaBcB
= 5:aBBccBAdCbCBDcB
L10(64) 31,3,2+ = 4:abCbAccbbbcccB
= 4:AbACCCbbbC
L10(65) 31,21,2+ = 5:ABcDcbadCbCdCBCCd
= 4:aBcBBBABBccB
L10(66) 3,3,3+ = 3:aaaabbbAbbb
= 5:ABCCDcbaDCCDcbCdCBD
L10(67) 3,21,21+ = 4:ABBcccBaBcBB
= 5:ABcDcbacDcbDCdCBD
L10(68) 22,2,2++ = 5:AbCbabbCdcBccbD
= 6:abCdEdCBAdCBCedCbC
L10(69) 211,2,2++ = 5:AbAbcDccbDC
= 5:aBcBAcBdCddCbcD
L10(70) 3,2,2+++ = 5:ABCdddCbaCBdcDcbC
= 4:AbbCbaBccbbbbc
L10(71) 21,2,2+++ = 5:AbCbaBDDccBDc
= 5:abcDcBAdCCBCddCbC
L10(72) (22,2)(2,2) = 5:abbccDcBABcdccB
= 6:abCdedCBACBCdCbEdC
L10(73) (211,2)(2,2) = 4:AbCbaCbbCCbb
= 5:AbCbaCBBCCDCbCd
L10(74) (3,21)(2,2) = 5:AbCbaDcBDccBc
= 5:abcDcBABdCdCbCddC
L10(75) (3,2+)(2,2) = 4:aaBaacBBBc
= 5:abcDDDcBADCBCdCbC
L10(76) (21,2+)(2,2) = 4:AbbCCbabbCbb
= 5:aBCCdCBABcBdd
L10(77) (3,2)(2,2+) = 4:AbACCCbbCC
= 4:aBBcBBBABccB
L10(78) (21,2)(2,2+) = 5:ABcDccbacbCddCBdc
= 5:abbbcDcBABccBdc
L10(79) (3,2)1(2,2) = 4:ABcccBacBccB
= 4:AbbbCbAbbC
L10(80) (21,2)1(2,2) = 4:AbbACCbbCb
= 4:aBccBABBccBc
L10(81) .41 = 5:ABCbCdcBaBcBcBD
= 5:aBcBDcBABDCdCbc
L10(82) .311 = 4:ABcBcBaBcBBB
= 4:AbCbACbAAC
L10(83) .23 = 5:ABCdCdCbaCBdcDcbC
= 5:AbCbaBDcDcBDc
L10(84) .212 = 4:AbCbCbabCbCC
= 4:aBaBBcBcBc
L10(85) .2111 = 4:AbCbCbabbCbC
= 4:aaBaBcBcBc
L10(86) .211.2 = 4:ABcBccBaBcBB
= 4:aBaBccBcBc
L10(87) .211.20 = 4:AbCCbCbabCbC
= 4:AbCbACCbAC
L10(88) .3.21 = 4:aBacBcBBBc
= 5:ABcbDCbCbabCbdc
L10(89) .3.210 = 5:ABcDcbaCdCbCdCBCd
= 4:AbAbAAACbC
L10(90) .4:2 = 5:AbcddCbaaccDcbC
= 5:abcDcBAdCbCdCbC
L10(91) .31:2 = 4:AbcBcbaaaabbcB
= 4:aaaBcBaBcB
L10(92) .211:2 = 4:ABcBBcBaBcBB
= 4:AbCCbACbAC
L10(93) .22:20 = 5:abCbcDCbAcBcDcB
= 5:aBcdCBcBACBCdCbCC
L10(94) .211:20 = 4:AbCbbCbabCbC
= 4:aBaBcBccBc
L10(95) .3:21 = 4:aBcBBBcBABcB
= 4:AbACbAAAbC
L10(96) .3:210 = 5:abCbDcBcdCbAbCb
= 5:abcDcBAdCbdCbdC
L10(97) .21:21 = 4:AbCbaaabcccb
= 4:aaBccBaBcB
L10(98) .21.2.2 = 4:AbcBcbbaaabbcB
= 4:ABcBBccBaBcB
L10(99) .21.20.2 = 4:aaBcBBaBcB
= 4:AbACbCCbCC
L10(100) .2.3.2 = 4:AbcBcbbbaabbcB
= 5:abCdCbACBcBdC
L10(101) .2.30.2 = 5:abcDcBAdCbbcdCdcBcc
= 4:aBcBBBaBcB
L10(102) .2.21.20 = 4:aBaccBcBBc
= 5:AbCDcbabCDcDCbC
L10(103) .2.2.2.2 = 4:AbcBcbbaabbccB
= 4:ABBBcBAbAABCCb
L10(104) .2.20.2.20 = 4:aBcBBaBcBB
= 4:aBBcBaBBcB
L10(105) .(3,2) = 4:AbCbACbbbC
= 4:aBcccBABcBcB
L10(106) .(21,2) = 4:ABcBcBaBccBB
= 4:AbCbACbbAC
L10(107) .(2,2).2 = 4:ABcBccBaBccB
= 4:AbCbbACbbC
L10(108) .(2,2).20 = 4:AbbACbCbCC
= 4:aBccBABcBcBB
L10(109) 21:2:20 = 5:AbbCbabcDccbCDc
= 4:AbAbbAACbC
L10(110) 210:2:2 = 4:aBBaBBacBc
= 5:AbCbabcDccbCDDc
L10(111) 210:20:20 = 4:AbCbabbCbCbb
= 5:AbCbdCbaBBBCDCb
L10(112) 2.2.20.20 = 5:AbCdCbaCBBCCDCb
= 4:aBabccbbbaaBCb
L10(113) 2.20.2.20 = 5:abbcDcBABBcBdcB
= 4:aBcBaBBcBB
L10(114) 20.2.2.20 = 5:abCbAcDCbcccDcb
= 5:aBCCdCCBAcdCBcB
L10(115) 8*210 = 4:aBaBaBacBc
= 4:AbCbAbACCb
L10(116) 8*2.20 = 5:AbCbabcDcDcbCDc
= 4:aBacBaBBcB
L10(117) 8*20:20 = 4:AbACbbAbCb
= 4:AbCbAbACbb
L10(118) 8*20:.20 = 4:aaBacBaBcB
= 4:AAbCbAbACb
L10(119) 8*2::20 = 5:aBCdCCBABcdCBcB
= 4:AbCbACCbCb
L10(120) 9*2 = 4:aBcBaBcBaB
= 4:AAbACbACbC
L10(121) 9*.2 = 4:AbAbACbAbC
= 4:AbbACbACbC
L10(122) 10** = 4:AbCbACbACb
= 4:aBacBacBcB
L10(123) 42,2,2- = 5:AbbCBBabCdcBcbD
5 6:ABcbdCedcbaBBcDCbEDc
L10(124) 411,2,2- = 5:ABCCBaDcbCdCBDc
= 5:aBcdCbCBADcbccb
L10(125) 312,2,2- = 4:AbbbCbabbCBB
4 5:AbCdcbbbaBBcDCb
L10(126) 3111,2,2- = 4:ABBACCCbCb
= 4:abccbABBBcBc
L10(127) 24,2,2- = 5:ABcDcbaccbCdCBDCC
5 6:AbCCDEdcBadcbCCeDcBc
L10(128) 231,2,2- = 5:AbCbaDcBCCBDc
= 5:abcddcBACbcDcBdCd
L10(129) 213,2,2- = 4:ABBACbCbbb
= 4:abccbABcBccc
L10(130) 2121,2,2- = 4:AbCbaCCbbCBB
4 5:aBCdCCCBAbcbd
L10(131) 2112,2,2- = 4:ABBACCbCbb
= 4:abccbABBcBcc
L10(132) 21111,2,2- = 4:AbbCbaCbbCBB
4 5:aBCdCCBAbcbdd
L10(133) 4,22,2- = 4:abCbAbbbbCBB
4 6:AbCdCBaDcbCCDedcBcdE
L10(134) 4,211,2- = 4:abCbaCbbbb
= 5:aBcBAcdCbCBDCCB
L10(135) 31,22,2- = 5:abCbAbDcBcbdCBB
4 5:aBCCCdCBAcdCbcb
L10(136) 31,211,2- = 5:AbCbacdcBcBdc
= 4:aBCCBBBABcBc
L10(137) 212,3,2- 3 4:AbbCbabbbCBB
= 4:abcccbABcBcc
L10(138) 212,21,2- 4 5:abCCCbAcddCBcBd
= 4:AbCbbABBAC
L10(139) 2111,3,2- = 4:AbCbaCbbbCBB
= 4:abcccbABBcBc
L10(140) 2111,21,2- 4 5:aBCdCCBBAbcbd
= 4:AbCbABBACC
L10(141) 22,3,21- = 4:AbCbabbbCBBB
4 5:ABcDcbacDCCCbCCDcBd
L10(142) 211,3,3- 4 5:ABCdCbaccDcbCdCBD
= 4:abcccbbABcBc
L10(143) 211,21,21- 4 5:ABcDcbaccDcbcDcBd
= 4:AbCbABBBAC
L10(144) 3,3,2,2- = 4:ABBcbbabbbCbbb
= 4:aBcccBAbcccb
L10(145) 3,21,2,2- = 4:ABBcccBaBCCB
= 4:abbaCCbbbC
L10(147) 21,21,2,2- = 4:aBCCBBABBccB
4 5:abCDDDCCBACBcdcbC
L10(148) 3,2,3,2- = 4:abbbaCbbbC
= 4:ABBcbbbabbCbbb
L10(149) 3,2,21,2- = 4:ABcccBaBCCBB
= 4:aBccBBAbcccb
L10(150) 21,2,21,2- = 4:AbbACBBACC
4 5:abCDDDCBACCBcdcbC
L10(151) 3,3,2,2-- = 4:ABBcBBabbbCbbb
= 4:abcccbAbcccb
L10(152) 3,21,2,2-- = 4:ABBcccBabCCb
= 4:aBBaCCbbbC
L10(153) 3,2,3,2-- = 4:ABcccBabCCbb
= 4:abccbbAbcccb
L10(154) 3,2,21,2-- = 4:aBBBaCbbbC
= 4:ABBcBBBabbCbbb
L10(155) (22,2)(2,2-) = 5:abbccDcBABcdCCB
5 6:abCdedCBAcBCdCbEdc
L10(156) (211,2)(2,2-) = 4:AbCbaCbbCCBB
4 5:AbCbaCBBCCDcbcd
L10(157) (22,2-)(2,2) 4 5:abbccDCBABCdccB
4 6:abCDedCBACBCdCbEDC
L10(160) (211,2-)(2,2) = 4:AbCbaCbbccbb
= 5:AbCbaCBBccDCbCd
L10(161) (3,21)(2,2-) = 5:AbCbaDcBDCCBc
= 5:abcDcBABdCdCbcddc
L10(162) (3,3-)(2,2) 4 5:AbCbadCBdccBc
4 5:abcDcBABdcDcbCddC
L10(163) (21,21-)(2,2) 4 5:ABccBaDcBDcBC
4 5:abCdCBABDCdCbCddC
L10(164) (3,2+)(2,2-) = 4:aaBAAcBBBc
4 5:abcDDDcBADCBcdcbC
L10(165) (21,2+)(2,2-) = 4:AbbCCbabbCBB
4 5:aBCCdCBAbcbdd
L10(166) (2,2+)(3,2-) 3 4:AbCCbabbbCBB
3 4:aaaBAAcBBc
L10(167) (2,2+)(21,2-) 4 5:aBCCdCBBAbcbd
4 5:abcDDcBADCCBcdcbC
L10(168) (22,2)-(2,2) = 5:abbCCDcBABcdCCB
5 6:abcdedcBAcBCdCbEdc
L10(169) (211,2)-(2,2) = 4:AbCbaCBBCCBB
= 5:ABCCDcbbacbdCbC
L10(170) (3,21)-(2,2) = 5:AbCbaDcbDCCbc
= 5:abcDcBABdCdCbcDDc
L10(171) (3,2+)-(2,2) = 4:AABAAcBBBc
4 5:abcDDDcBADcBcdcbc
L10(172) (21,2+)-(2,2) = 4:AbbCCbaBBCBB
4 5:abCCdCbAbcbdd
L10(173) (2,2+)-(3,2) = 4:AbCCbaBBBCBB
= 4:AAABAAcBBc
L10(174) (2,2+)-(21,2) 4 5:abCCdCbbAbcbd
4 5:abcDDcBADccBcdcbc
L10(175) .(2,2-).2 = 4:ABcBccBaBCCB
= 4:abbaCbCbbC
L10(176) .(2,2-).20 = 4:ABBACbCbCC
= 4:abccbABcBcBB
L10(177) .-(2,2).2 = 4:ABcBccBabCCb
= 4:aBBaCbCbbC
L10(178) .-(2,2).20 = 4:abCbaCCBBC
= 4:abCCbABcBcBB
L10(179) -210:2:2 = 5:AbCbabcDccbCddc
3 4:aBaCBBaBBC
L10(180) -210:20:20 = 5:AbCbdCbabCDCb
3 4:aBCBAbbCbCbb
L10(181) -210:-20:-20 3 5:AbcbdcbabcDcb
3 4:aBCBABBCbCBB
L10(182) 2.-2.-20.20 4 5:ABCCDcbbabcdCbC
= 4:aBabccBAABCb
L10(183) 2.-20.-2.20 = 4:aBcBabbcbb
4 5:aBBCBdcBAbcDCBB
L10(184) 8*2.-20 4 5:ABCBabcDcDcbCDc
= 4:aBaCBaBBCB
L10(185) 8*20:-20 = 4:AbAcbbAbcb
= 4:AbCbAbACBB
L10(186) 8*-20:-20 = 4:ABBAcbAbcb
= 4:aBBCbabCbC
L10(187) 8*20:.-20 = 4:aaBaCBaBCB
= 4:aabCbAbACb
L10(188) 9*.-2 = 4:AbAbAcbAbc
= 4:ABBACbACbC
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