The knots page explains the above terms and the notation used in the table.
Number Conway b Braid notation 0(1) infinity = 1: 3(1) 3 = 2:AAA 4(1) 22 = 3:aBaB 5(1) 5 = 2:AAAAA 5(2) 32 = 3:ABBBAb 6(1) 42 = 4:AbCbaBcBC 6(2) 312 = 3:aBaBBB 6(3) 2112 = 3:AbAAbb 7(1) 7 = 2:AAAAAAA 7(2) 52 = 4:abCBBBACBcB 7(3) 43 = 3:aaaaabAb 7(4) 313 = 4:abCbAcbbcBc 7(5) 322 = 3:aBAAAABB 7(6) 2212 = 4:aBcBBABcB 7(7) 21112 = 4:AbCbaCbCb 8(1) 62 = 5:ABCbCdcBaCbCbD 8(2) 512 = 3:aBaBBBBB 8(3) 44 = 5:ABcBaCbCdcBcbD 8(4) 413 = 4:abCbAcBBBcB 8(5) 3,3,2 = 3:AbbbAbbb 8(6) 332 = 4:AbCCCbaBcBC 8(7) 4112 = 3:AbAAbbbb 8(8) 2312 = 4:abCbAcBBccB 8(9) 3113 = 3:AbAAAbbb 8(10) 3,21,2 = 3:aaaBaaBB 8(11) 3212 = 4:AbCbaBcBCCC 8(12) 2222 = 5:AbCdCbabCbDC 8(13) 31112 = 4:abCbAccBcBB 8(14) 22112 = 4:aBaBCCbCB 8(15) 21,21,2 = 4:aBCCCBBABcB 8(16) .2.20 = 3:AAbAAbAb 8(17) .2.2 = 3:AbAbAAbb 8(18) 8* = 3:AbAbAbAb 8(19) 3,3,2- = 3:abbbabbb 8(20) 3,21,2- = 3:aaaBAABB 8(21) 21,21,2- 3 4:aBCCCBBAbcb
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