The knots page explains the above terms and the notation used in the table.
Number Conway b Braid notation
L9(1) 612 = 5:aBBcBAbDcBcdCbc
= 3:aBaBBBBBB
L9(2) 5112 = 3:AbAAbbbbb
= 5:ABCbCdcBaCCbCbD
L9(3) 432 = 5:aBBcdCbCBAbDCbc
= 4:AbCCCCbaBcBC
L9(4) 414 = 4:abCbAcBBBBcB
= 4:abCbAcBcBBBB
L9(5) 4113 = 3:AbAAAbbbb
= 5:AbcBcbDCbaBcBCd
L9(6) 3312 = 4:abCbAcBBcccB
= 4:AbCbaBcBCCCC
L9(7) 32112 = 4:abCbAcccBcBB
= 4:aBaBCCCbCB
L9(8) 3132 = 4:AbCCbbbaBcBC
= 5:AbCdCBaDDcbCCDcBc
L9(9) 31113 = 4:abCbAccBcBBB
= 4:abCbAcBBBcBc
L9(10) 252 = 5:ABCbCdcBaCbCCbD
= 5:ABCbCdcBaCbCCbD
L9(11) 22212 = 5:AbCbabCdCbCCD
= 4:aBaBCCbCBB
L9(12) 221112 = 4:AbAAbccBcb
= 5:AbCdCbaCbCbDC
L9(13) 5,2,2 = 3:aaaaaBaaB
= 3:AbbbbbAbb
L9(14) 41,2,2 = 3:aaBaaBBBB
= 4:aBCCCCCBABcB
L9(15) 32,2,2 = 4:AbCbaccBccBc
= 4:abCbAcccBccB
L9(16) 311,2,2 = 4:AbbCbbaBcBCC
= 5:aBCdCCBABcBDD
L9(17) 23,2,2 = 4:AbbCCbbaBcBC
= 5:ABBBCdCbaBBCDCb
L9(18) 221,2,2 = 4:AbbCbacBccBc
= 4:AbccBcbAbb
L9(19) 4,3,2 = 3:AbbbbAbbb
= 4:AbbCbbbaBcBC
L9(20) 4,21,2 = 3:aaaaBaaBB
= 5:aBcdCbCBABDCCCB
L9(21) 31,3,2 = 4:abCbAccBcccB
= 3:aaaBaaBBB
L9(22) 31,21,2 = 4:AbCbacBccBBc
= 4:aBCCCCBBABcB
L9(23) 3,3,21 = 3:AAbbbAbbb
= 5:ABCCDcbacDcbCdCBD
L9(24) 21,21,21 = 5:ABcDcbacDcbcDcB
= 4:aBCCCBBABBcB
L9(25) 22,2,2+ = 5:ABcDcbaBccBDc
= 5:aBcDcBAcBdccB
L9(26) 211,2,2+ = 5:ABcDcBaBcBD
= 4:abbCbbAcBcBc
L9(27) 3,2,2++ = 4:aaabCbbaCB
= 4:abCbbbAcBccB
L9(28) 21,2,2++ = 4:abCbbAcBBccB
= 5:abCdCCBACBCdCbC
L9(29) (3,2)(2,2) = 3:aaBBaaBBB
= 4:aBBBCCBBABcB
L9(30) (21,2)(2,2) = 4:AbbCbbabcccb
= 5:aBcdcBABccDcB
L9(31) .4 = 3:AAAAbAbAb
= 3:AbAbAAAAb
L9(32) .31 = 4:AbCbCbaBcBCC
= 4:abCbCbACBcBC
L9(33) .22 = 4:ABcbAbbAcBcb
= 4:abCbbAcBcBcB
L9(34) .3.2 = 4:AbCbaBcBccBc
= 3:AbAbAAAbb
L9(35) .3.20 = 3:AAAbAAbAb
= 4:abCbAcBcBcBB
L9(36) .3:2 = 4:AbCbaBcBBcBc
= 4:abCbAcBcBBcB
L9(37) .3:20 = 3:AAAbAbbAb
= 3:AbbAbAAAb
L9(38) .21:20 = 4:AbCbaaabCb
= 4:aaBBCbaBCbCB
L9(39) .2.2.20 = 4:AbcBcbABccbb
= 3:AbbAbAAbb
L9(40) 2:2:2 = 5:AbCbabcDccbCddc
= 3:AAbAAbAAb
L9(41) 2:20:20 = 5:aBcdcBABcDcBc
= 3:aaBaBaaBB
L9(42) 8*2 = 4:AbcBcbABcbAb
= 3:AAbAbAbAb
L9(43) 5,2,2- = 3:aaaaaBAAB
= 3:abbabbbbb
L9(44) 41,2,2- = 3:aaBAABBBB
3 4:aBCCCCCBAbcb
L9(45) 32,2,2- = 4:AbCbaccBCCBc
= 4:abCbAcccbccb
L9(46) 311,2,2- = 4:AbbCBBaBcBCC
4 5:aBCdCCBAbcbDD
L9(47) 23,2,2- = 4:ABBCCbbaBcBC
4 5:ABBBCdcbaBBcDCb
L9(48) 221,2,2- = 4:AbbCbacBCCBc
= 4:abbabccBcb
L9(49) 4,3,2- = 3:abbbabbbb
3 4:ABBCbbbaBcBC
L9(50) 4,21,2- = 3:aaaaBAABB
4 5:aBcdCbCBAbDCCCb
L9(51) 31,3,2- = 4:abCbAccbcccb
= 3:aaaBAABBB
L9(52) 31,21,2- = 4:AbCbacBCCBBc
3 4:aBCCCCBBAbcb
L9(53) 3,3,3- = 3:aabbbabbb
4 5:ABCCDcbaCdCbCdCBD
L9(54) 3,21,21- = 3:aaaBAAABB
4 5:ABcDcbaCdccbCdCBD
L9(55) (3,2)(2,2-) = 3:aaBBAABBB
3 4:aBBBCCBBAbcb
L9(56) (21,2)(2,2-) = 4:ABBCbbabcccb
4 5:aBcdcBAbccDcb
L9(57) (3,2-)(2,2) = 3:aabbaaBBB
3 4:aBBBCCbbABcB
L9(58) (21,2-)(2,2) 3 4:AbbCbbaBcccB
4 5:aBCdcBABccDCB
L9(59) (3,2)-(2,2) = 3:AABBAABBB
= 4:aBBBCBBAbccb
L9(60) (21,2)-(2,2) = 4:ABBCBBabcccb
4 5:abcdcbAbccDcb
L9(61) 2:-20:-20 3 5:abcdcbAbcDcbc
= 3:AABaBAABB
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