The knots page explains the above terms and the notation used in the table.
Number Conway b Braid notation 9(1) 9 = 2:AAAAAAAAA 9(2) 72 = 5:aBcdCbCBAbDCBBBC 9(3) 63 = 3:aaaaaaabAb 9(4) 54 = 4:abCBBBBBACBcB 9(5) 513 = 5:abccdCBAccbcDcBdCd 9(6) 522 = 3:aBAAAAAABB 9(7) 342 = 4:ABBBBCCbaBcBC 9(8) 2412 = 5:abcDcBAdCCBCdCbC 9(9) 423 = 3:aBAAAAABBB 9(10) 333 = 4:abCbAcbbcBccc 9(11) 4122 = 4:AbbbbCbabCb 9(12) 4212 = 5:aBcdCbCBABDcBB 9(13) 3213 = 4:abCbAcBcbbbbc 9(14) 41112 = 5:AbCbabCdcBcbDC 9(15) 2322 = 5:AbCbabbCdcBcbD 9(16) 3,3,2+ = 3:aaaabbAbbb 9(17) 21312 = 4:AbCbaCCCbCb 9(18) 3222 = 4:ACCbCBBBaBcBC 9(19) 23112 = 5:AbCdCBaDcbDcDcBc 9(20) 31212 = 4:aBcBBABBBcB 9(21) 31122 = 5:ABcbbDCbabCbdc 9(22) 211,3,2 = 4:aBcccBABcBc 9(23) 22122 = 4:aBAAABBCCbC 9(24) 3,21,2+ = 4:ABBcccBaBcB 9(25) 22,21,2 = 5:aBCCCBAcdCBcBd 9(26) 311112 = 4:AbbbCbaCbCb 9(27) 212112 = 4:aBcBBABcBcc 9(28) 21,21,2+ = 4:aBcBBABBccB 9(29) .2.20.2 = 4:aBcBBaBcB 9(30) 211,21,2 = 4:AbCbAbbAC 9(31) 2111112 = 4:aBcBBABBcBc 9(32) .21.20 = 4:AbACbCbCC 9(33) .21.2 = 4:ABcBccBaBcB 9(34) 8*20 = 4:AbCbAbACb 9(35) 3,3,3 = 5:ABCCDcbaCCDcbCdCBD 9(36) 22,3,2 = 4:AbCbabbbCbb 9(37) 3,21,21 = 5:ABcDcbacDcbCdCBD 9(38) .2.2.2 = 4:AbcBcbbaabbcB 9(39) 2:2:20 = 5:AbCbabcDccbCDc 9(40) 9* = 4:AbACbACbC 9(41) 20:20:20 = 5:AbCbdCbaBBCDCb 9(42) 22,3,2- 3 4:AbCbabbbCBB 9(43) 211,3,2- = 4:abcccbABcBc 9(44) 22,21,2- 4 5:abCCCbAcdCBcBd 9(45) 211,21,2- = 4:AbCbABBAC 9(46) 3,3,21- 4 5:ABCdccbaCCDcbCdCBD 9(47) 8*-20 = 4:AbAcbAbcb 9(48) 21,21,21- 4 5:ABcDcbacDcbcDcBd 9(49) -20:-20:-20 3 5:abbcDcBAbcbdcb
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