The knots page explains the above terms and the notation used in the table.
Number Conway b Braid notation
L0(1) 0 = 2:
L2(1) 2 = 2:aa
= 2:AA
L4(1) 4 = 3:abbaB
= 2:AAAA
L5(1) 212 = 3:AbAAb
= 3:aBaBB
L6(1) 6 = 4:AbCbaBcbbc
= 2:AAAAAA
L6(2) 33 = 3:aaaabAb
= 3:ABBBBAb
L6(3) 222 = 4:AbCbabCb
= 3:aBAAABB
L7(1) 412 = 4:abCbAcBBcB
= 3:aBaBBBB
L7(2) 3112 = 3:AbAAbbb
= 4:AbCbaBcBCC
L7(3) 232 = 4:AbCCbaBcBC
= 4:AbCCbaBcBC
L7(4) 3,2,2 = 3:aaaBaaB
= 3:AbbbAbb
L7(5) 21,2,2 = 3:aaBaaBB
= 4:aBCCCBABcB
L7(6) .2 = 3:AAbAbAb
= 3:AbAbAAb
L7(7) 3,2,2- = 3:aaaBAAB
= 3:abbabbb
L7(8) 21,2,2- = 3:aaBAABB
3 4:aBCCCBAbcb
L8(1) 8 = 5:ABcbbacbCdcBcbD
= 2:AAAAAAAA
L8(2) 53 = 3:aaaaaabAb
= 4:abCBBBBACBcB
L8(3) 422 = 5:AbCbabCdcBcbD
= 3:aBAAAAABB
L8(4) 323 = 4:abCbAcbbcBcc
= 3:aBAAAABBB
L8(5) 3122 = 4:AbbbCbabCb
= 4:ACbCBBBaBcBC
L8(6) 242 = 5:ABcDcbacbCdCBDc
= 4:ABBBCCbaBcBC
L8(7) 21212 = 4:AbCbaCCbCb
= 4:aBcBBABBcB
L8(8) 211112 = 4:AbbCbaCbCb
= 4:aBcBBABcBc
L8(9) 22,2,2 = 4:AbCbabbCbb
= 5:AbCdCbaBBCDCb
L8(10) 211,2,2 = 4:AbbACbCb
= 4:aBccBABcBc
L8(11) 3,2,2+ = 4:ABcccBaBcB
= 3:aaaabbAbb
L8(12) 21,2,2+ = 4:AbACCbbC
= 4:aBcBBABccB
L8(13) .21 = 4:ABcBcBaBcB
= 4:AbACbCbC
L8(14) .2:2 = 4:AbcBcbaabbcB
= 4:aBcBaBcB
L8(15) 22,2,2- = 4:AbCbabbCBB
4 5:AbCdcbaBBcDCb
L8(16) 211,2,2- = 4:ABBACbCb
= 4:abccbABcBc
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