The knots page explains the above terms and the notation used in the table.
Number Conway b Braid notation 10(1I) 5,21,2- = 3:aaaaaBAABB 10(1II) 32,21,2- = 4:AbCbaccBCCBBc 10(1III) 22,21,21- 4 5:ABcDcbacDCCbCDcbCd 10(1IV) 221,21,2- = 4:AbbCbacBCCBBc 10(1V) 8*2:-20 = 4:AbcBcbABcbABB 10(1VI) (3,2)-(21,2) = 4:abCbABBBcccBB 10(2I) 4,21,21- = 3:aaaaBAAABB 10(2II) 211,3,21- 4 5:ABcDcbaccDcbCCDcBd 10(2III) 31,21,21- = 4:AbCbacBCCCBBc 10(2IV) 22,211,2- = 5:aBCCDcBAcBdcBc 10(2V) 22,22,2- 4 6:ABcDcbacbCCDEdcBcde 10(2VI) 211,211,2- = 5:abcDcbABDcBc 10(2VII) -3:2:2 = 3:aaabAAbAAb 10(2VIII) -30:2:2 = 4:AbCbabCCbCCbc 10(2IX) -30:-20:-20 = 4:abCbAcBBCbCBB 10(3I) 41,3,2- = 3:aaaBAABBBB 10(3II) 4,3,21- = 4:ABBBCbbbaBcBC 10(3III) 31,3,21- = 3:aaaBAAABBB 10(3IV) 311,3,2- = 4:AbbbCBBaBcBCC 10(3V) 23,3,2- 2 4:ABBCCbbbaBcBC 10(3VI) 8*-30 = 4:AbCbabCbCbCbc 10(3VII) (3,2)(3,2-) = 3:aaaBBAABBB 10(3VIII) -30:2:20 = 3:AbAbbAABBB 10(3IX) (21,2)(21,2-) 4 5:aBcdcBBAbccDcb 10(3X) -3:2:20 3 4:ABcBccBBaBcBC 10(4I) 41,21,2- 3 4:aBCCCCCBBAbcb 10(4II) 311,21,2- 4 5:abCCCbAdCbCBDBcB 10(4III) 23,21,2- 4 5:abCCCbAcdCBcBDDD 10(4IV) 8*2:.-20 = 4:aabcBcbABcbAb 10(4V) -30:20:20 = 4:abCbAcbbCbCbb 10(4VI) (21,2)(3,2-) 3 4:ABBCbbbabcccb 10(4VII) -3:20:20 = 3:aabbbaaBaB 10(4VIII) (3,2)(21,2-) 3 4:abCCCbABBBcBB 10(5I) 22,3,3- 4 5:ABCdcBaDCCCbCdCBDc 10(5II) 3:-20:-20 = 3:AABaBAABBB 10(6I) 5,3,2- = 3:abbbabbbbb 10(6II) 31,3,3- = 4:abCbAccbcccbb 10(6III) 4,3,3- = 3:aabbbbabbb 10(6IV) 32,3,2- = 4:abCbAcccbcccb 10(6V) 221,3,2- = 4:abbbabccBcb 10(6VII) (21,2)-(21,2) 4 5:abcdcbbAbccDcb 10(6VIII) (3,2)-(3,2) = 3:AAABBAABBB
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