YakDB catalogue with explicit orientation and mirror conventions. Unresolved equivalences are retained.

Snapshot changed; rerun validation.

name unoriented_members oriented_members symmetry reversible positive_amphichiral negative_amphichiral
a(4_1 # 12n_14) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_14)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_14)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_14"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_14"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_14"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_14"}] Chiral false false false
a(4_1 # 12n_140) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_140)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_140)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_140"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_140"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_140"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_140"}] Chiral false false false
a(4_1 # 12n_141) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_141)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_141)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_141"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_141"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_141"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_141"}] Chiral false false false
a(4_1 # 12n_142) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_142)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_142)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_142"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_142"}] Chiral true false false
a(4_1 # 12n_143) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_143)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_143)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_143"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_143"}] Chiral true false false
a(4_1 # 12n_144) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_144)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_144)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_144"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_144"}] Chiral true false false
a(4_1 # 12n_145) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_145)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_145)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_145"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_145"}] Chiral true false false
a(4_1 # 12n_146) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_146)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_146)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_146"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_146"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_146"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_146"}] Chiral false false false
a(4_1 # 12n_147) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_147)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_147)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_147"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_147"}] Chiral true false false
a(4_1 # 12n_148) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_148)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_148)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_148"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_148"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_148"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_148"}] Chiral false false false
a(4_1 # 12n_149) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_149)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_149)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_149"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_149"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_149"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_149"}] Chiral false false false
a(4_1 # 12n_15) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_15)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_15)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_15"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_15"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_15"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_15"}] Chiral false false false
a(4_1 # 12n_150) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_150)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_150)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_150"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_150"}] Chiral true false false
a(4_1 # 12n_151) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_151)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_151)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_151"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_151"}] Chiral true false false
a(4_1 # 12n_152) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_152)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_152)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_152"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_152"}] Chiral true false false
a(4_1 # 12n_153) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_153)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_153)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_153"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_153"}] Chiral true false false
a(4_1 # 12n_154) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_154)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_154)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_154"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_154"}] Chiral true false false
a(4_1 # 12n_155) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_155)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_155)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_155"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_155"}] Chiral true false false
a(4_1 # 12n_156) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_156)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_156)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_156"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_156"}] Chiral true false false
a(4_1 # 12n_157) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_157)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_157)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_157"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_157"}] Chiral true false false
a(4_1 # 12n_158) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_158)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_158)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_158"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_158"}] Chiral true false false
a(4_1 # 12n_159) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_159)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_159)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_159"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_159"}] Chiral true false false
a(4_1 # 12n_16) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_16)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_16)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_16"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_16"}] Chiral true false false
a(4_1 # 12n_160) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_160)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_160)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_160"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_160"}] Chiral true false false
a(4_1 # 12n_161) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_161)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_161)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_161"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_161"}] Chiral true false false
a(4_1 # 12n_162) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_162)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_162)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_162"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_162"}] Chiral true false false
a(4_1 # 12n_163) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_163)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_163)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_163"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_163"}] Chiral true false false
a(4_1 # 12n_164) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_164)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_164)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_164"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_164"}] Chiral true false false
a(4_1 # 12n_165) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_165)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_165)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_165"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_165"}] Chiral true false false
a(4_1 # 12n_166) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_166)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_166)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_166"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_166"}] Chiral true false false
a(4_1 # 12n_167) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_167)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_167)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_167"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_167"}] Chiral true false false
a(4_1 # 12n_168) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_168)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_168)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_168"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_168"}] Chiral true false false
a(4_1 # 12n_169) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_169)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_169)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_169"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_169"}] Chiral true false false
a(4_1 # 12n_17) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_17)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_17)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_17"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_17"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_17"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_17"}] Chiral false false false
a(4_1 # 12n_170) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_170)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_170)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_170"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_170"}] Chiral true false false
a(4_1 # 12n_171) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_171)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_171)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_171"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_171"}] Chiral true false false
a(4_1 # 12n_172) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_172)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_172)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_172"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_172"}] Chiral true false false
a(4_1 # 12n_173) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_173)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_173)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_173"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_173"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_173"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_173"}] Chiral false false false
a(4_1 # 12n_174) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_174)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_174)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_174"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_174"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_174"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_174"}] Chiral false false false
a(4_1 # 12n_175) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_175)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_175)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_175"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_175"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_175"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_175"}] Chiral false false false
a(4_1 # 12n_176) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_176)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_176)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_176"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_176"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_176"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_176"}] Chiral false false false
a(4_1 # 12n_177) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_177)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_177)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_177"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_177"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_177"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_177"}] Chiral false false false
a(4_1 # 12n_178) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_178)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_178)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_178"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_178"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_178"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_178"}] Chiral false false false
a(4_1 # 12n_179) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_179)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_179)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_179"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_179"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_179"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_179"}] Chiral false false false
a(4_1 # 12n_18) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_18)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_18)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_18"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_18"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_18"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_18"}] Chiral false false false
a(4_1 # 12n_180) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_180)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_180)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_180"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_180"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_180"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_180"}] Chiral false false false
a(4_1 # 12n_181) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_181)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_181)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_181"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_181"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_181"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_181"}] Chiral false false false
a(4_1 # 12n_182) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_182)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_182)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_182"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_182"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_182"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_182"}] Chiral false false false
a(4_1 # 12n_183) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_183)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_183)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_183"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_183"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_183"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_183"}] Chiral false false false
a(4_1 # 12n_184) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_184)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_184)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_184"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_184"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_184"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_184"}] Chiral false false false
a(4_1 # 12n_185) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_185)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_185)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_185"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_185"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_185"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_185"}] Chiral false false false
a(4_1 # 12n_186) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_186)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_186)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_186"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_186"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_186"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_186"}] Chiral false false false
a(4_1 # 12n_187) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_187)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_187)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_187"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_187"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_187"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_187"}] Chiral false false false
a(4_1 # 12n_188) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_188)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_188)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_188"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_188"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_188"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_188"}] Chiral false false false
a(4_1 # 12n_189) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_189)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_189)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_189"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_189"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_189"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_189"}] Chiral false false false
a(4_1 # 12n_19) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_19)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_19)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_19"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_19"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_19"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_19"}] Chiral false false false
a(4_1 # 12n_190) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_190)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_190)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_190"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_190"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_190"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_190"}] Chiral false false false
a(4_1 # 12n_191) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_191)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_191)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_191"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_191"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_191"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_191"}] Chiral false false false
a(4_1 # 12n_192) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_192)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_192)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_192"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_192"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_192"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_192"}] Chiral false false false
a(4_1 # 12n_193) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_193)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_193)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_193"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_193"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_193"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_193"}] Chiral false false false
a(4_1 # 12n_194) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_194)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_194)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_194"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_194"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_194"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_194"}] Chiral false false false
a(4_1 # 12n_195) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_195)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_195)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_195"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_195"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_195"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_195"}] Chiral false false false
a(4_1 # 12n_196) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_196)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_196)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_196"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_196"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_196"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_196"}] Chiral false false false
a(4_1 # 12n_197) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_197)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_197)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_197"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_197"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_197"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_197"}] Chiral false false false
a(4_1 # 12n_198) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_198)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_198)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_198"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_198"}] Chiral true false false
a(4_1 # 12n_199) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_199)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_199)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_199"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_199"}] Chiral true false false
a(4_1 # 12n_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_2"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_2"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_2"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_2"}] Chiral false false false
a(4_1 # 12n_20) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_20)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_20)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_20"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_20"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_20"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_20"}] Chiral false false false
a(4_1 # 12n_200) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_200)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_200)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_200"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_200"}] Chiral true false false
a(4_1 # 12n_201) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_201)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_201)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_201"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_201"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_201"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_201"}] Chiral false false false
a(4_1 # 12n_202) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_202)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_202)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_202"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_202"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_202"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_202"}] Chiral false false false
a(4_1 # 12n_203) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_203)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_203)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_203"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_203"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_203"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_203"}] Chiral false false false
a(4_1 # 12n_204) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_204)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_204)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_204"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_204"}] Chiral true false false
a(4_1 # 12n_205) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_205)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_205)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_205"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_205"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_205"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_205"}] Chiral false false false
a(4_1 # 12n_206) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_206)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_206)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_206"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_206"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_206"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_206"}] Chiral false false false
a(4_1 # 12n_207) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_207)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_207)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_207"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_207"}] Chiral true false false
a(4_1 # 12n_208) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_208)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_208)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_208"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_208"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_208"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_208"}] Chiral false false false
a(4_1 # 12n_209) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_209)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_209)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_209"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_209"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_209"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_209"}] Chiral false false false
a(4_1 # 12n_21) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_21)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_21)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_21"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_21"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_21"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_21"}] Chiral false false false
a(4_1 # 12n_210) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_210)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_210)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_210"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_210"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_210"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_210"}] Chiral false false false
a(4_1 # 12n_211) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_211)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_211)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_211"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_211"}] Chiral true false false
a(4_1 # 12n_212) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_212)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_212)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_212"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_212"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_212"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_212"}] Chiral false false false
a(4_1 # 12n_213) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_213)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_213)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_213"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_213"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_213"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_213"}] Chiral false false false
a(4_1 # 12n_214) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_214)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_214)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_214"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_214"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_214"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_214"}] Chiral false false false
a(4_1 # 12n_215) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_215)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_215)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_215"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_215"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_215"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_215"}] Chiral false false false
a(4_1 # 12n_216) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_216)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_216)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_216"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_216"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_216"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_216"}] Chiral false false false
a(4_1 # 12n_217) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_217)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_217)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_217"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_217"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_217"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_217"}] Chiral false false false
a(4_1 # 12n_218) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_218)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_218)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_218"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_218"}] Chiral true false false
a(4_1 # 12n_219) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_219)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_219)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_219"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_219"}] Chiral true false false
a(4_1 # 12n_22) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_22)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_22)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_22"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_22"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_22"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_22"}] Chiral false false false
a(4_1 # 12n_220) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_220)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_220)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_220"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_220"}] Chiral true false false
a(4_1 # 12n_221) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_221)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_221)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_221"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_221"}] Chiral true false false
a(4_1 # 12n_222) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_222)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_222)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_222"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_222"}] Chiral true false false
a(4_1 # 12n_223) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_223)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_223)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_223"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_223"}] Chiral true false false
a(4_1 # 12n_224) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_224)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_224)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_224"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_224"}] Chiral true false false
a(4_1 # 12n_225) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_225)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_225)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_225"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_225"}] Chiral true false false
a(4_1 # 12n_226) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_226)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_226)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_226"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_226"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_226"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_226"}] Chiral false false false
a(4_1 # 12n_227) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_227)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_227)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_227"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_227"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_227"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_227"}] Chiral false false false
a(4_1 # 12n_228) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_228)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_228)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_228"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_228"}] Chiral true false false
a(4_1 # 12n_229) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_229)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_229)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_229"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_229"}] Chiral true false false

100 rows shown · 1737894 matching rows · Unoriented Mirror Classes

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Metadata and schema

Provenance
YakDB source import; see integrations/YAKDB_SOURCE.json and integrations/yaksite/data/manifest.json.
Authors
Unknown / not supplied
Citations
Unknown / not supplied
Bibtex
Unknown / not supplied
License
Unknown / not supplied
Methodology
Imported catalogue presentations and existing normalization; name-based references are uncertified.
Completeness
See source manifest; symmetry and equivalence may remain unresolved.

Name-based joins are uncertified.

ColumnTypeDescription
namestringThe mirror-class catalogue name and dataset primary key.
unoriented_membersSet(RowRef(UnorientedKnots))References to the retained unoriented members.
oriented_membersSet(RowRef(OrientedKnots))References to the retained oriented members.
symmetrystringSymmetry classification, or Unknown when unresolved.
reversibleOption(bool)Reversibility from the recorded evidence; None means unknown.
positive_amphichiralOption(bool)Positive amphichirality; None means unknown.
negative_amphichiralOption(bool)Negative amphichirality; None means unknown.

Schema version: abeb4e0c1c41bf5c62a9540619a58cb7ce43b49d2e657f12ec8f2a8b02f60488 · Data version: 8cb3ba370b31630457dc3734f58f9f1eba7882b741bfee7c75c019abb928faa9

REST API

JSON rows for the current filters: GET https://topology.fyi/api/v1/datasets/UnorientedMirrorClasses/rows?raw=1

Schema: /api/v1/datasets/UnorientedMirrorClasses/schema

curl "https://topology.fyi/api/v1/datasets/UnorientedMirrorClasses/rows?raw=1"