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(3_1 # 3_1 # m10_121) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_121)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_121)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_121"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_121"}] Chiral true false false
a(3_1 # 3_1 # m10_122) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_122)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_122)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_122"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_122"}] Chiral true false false
a(3_1 # 3_1 # m10_124) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_124)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_124)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_124"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_124"}] Chiral true false false
a(3_1 # 3_1 # m10_125) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_125)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_125)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_125"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_125"}] Chiral true false false
a(3_1 # 3_1 # m10_126) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_126)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_126)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_126"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_126"}] Chiral true false false
a(3_1 # 3_1 # m10_127) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_127)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_127)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_127"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_127"}] Chiral true false false
a(3_1 # 3_1 # m10_128) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_128)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_128)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_128"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_128"}] Chiral true false false
a(3_1 # 3_1 # m10_129) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_129)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_129)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_129"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_129"}] Chiral true false false
a(3_1 # 3_1 # m10_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_13)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_13"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_13"}] Chiral true false false
a(3_1 # 3_1 # m10_130) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_130)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_130)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_130"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_130"}] Chiral true false false
a(3_1 # 3_1 # m10_131) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_131)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_131)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_131"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_131"}] Chiral true false false
a(3_1 # 3_1 # m10_132) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_132)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_132)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_132"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_132"}] Chiral true false false
a(3_1 # 3_1 # m10_133) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_133)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_133)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_133"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_133"}] Chiral true false false
a(3_1 # 3_1 # m10_134) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_134)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_134)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_134"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_134"}] Chiral true false false
a(3_1 # 3_1 # m10_135) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_135)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_135)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_135"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_135"}] Chiral true false false
a(3_1 # 3_1 # m10_136) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_136)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_136)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_136"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_136"}] Chiral true false false
a(3_1 # 3_1 # m10_137) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_137)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_137)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_137"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_137"}] Chiral true false false
a(3_1 # 3_1 # m10_138) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_138)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_138)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_138"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_138"}] Chiral true false false
a(3_1 # 3_1 # m10_139) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_139)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_139)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_139"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_139"}] Chiral true false false
a(3_1 # 3_1 # m10_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_14)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_14"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_14"}] Chiral true false false
a(3_1 # 3_1 # m10_140) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_140)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_140)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_140"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_140"}] Chiral true false false
a(3_1 # 3_1 # m10_141) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_141)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_141)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_141"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_141"}] Chiral true false false
a(3_1 # 3_1 # m10_142) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_142)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_142)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_142"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_142"}] Chiral true false false
a(3_1 # 3_1 # m10_143) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_143)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_143)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_143"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_143"}] Chiral true false false
a(3_1 # 3_1 # m10_144) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_144)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_144)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_144"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_144"}] Chiral true false false
a(3_1 # 3_1 # m10_145) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_145)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_145)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_145"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_145"}] Chiral true false false
a(3_1 # 3_1 # m10_146) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_146)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_146)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_146"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_146"}] Chiral true false false
a(3_1 # 3_1 # m10_147) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_147)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_147)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_147"}, {"dataset": "OrientedKnots", "key": "3_1 # 3_1 # mr10_147"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_147"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # r10_147"}] Chiral false false false
a(3_1 # 3_1 # m10_148) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_148)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_148)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_148"}, {"dataset": "OrientedKnots", "key": "3_1 # 3_1 # mr10_148"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_148"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # r10_148"}] Chiral false false false
a(3_1 # 3_1 # m10_149) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_149)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_149)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_149"}, {"dataset": "OrientedKnots", "key": "3_1 # 3_1 # mr10_149"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_149"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # r10_149"}] Chiral false false false
a(3_1 # 3_1 # m10_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_15)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_15"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_15"}] Chiral true false false
a(3_1 # 3_1 # m10_150) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_150)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_150)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_150"}, {"dataset": "OrientedKnots", "key": "3_1 # 3_1 # mr10_150"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_150"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # r10_150"}] Chiral false false false
a(3_1 # 3_1 # m10_151) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_151)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_151)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_151"}, {"dataset": "OrientedKnots", "key": "3_1 # 3_1 # mr10_151"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_151"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # r10_151"}] Chiral false false false
a(3_1 # 3_1 # m10_152) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_152)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_152)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_152"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_152"}] Chiral true false false
a(3_1 # 3_1 # m10_153) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_153)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_153)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_153"}, {"dataset": "OrientedKnots", "key": "3_1 # 3_1 # mr10_153"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_153"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # r10_153"}] Chiral false false false
a(3_1 # 3_1 # m10_154) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_154)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_154)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_154"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_154"}] Chiral true false false
a(3_1 # 3_1 # m10_155) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_155)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_155)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_155"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_155"}] Chiral true false false
a(3_1 # 3_1 # m10_156) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_156)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_156)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_156"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_156"}] Chiral true false false
a(3_1 # 3_1 # m10_157) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_157)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_157)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_157"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_157"}] Chiral true false false
a(3_1 # 3_1 # m10_158) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_158)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_158)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_158"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_158"}] Chiral true false false
a(3_1 # 3_1 # m10_159) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_159)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_159)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_159"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_159"}] Chiral true false false
a(3_1 # 3_1 # m10_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_16)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_16"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_16"}] Chiral true false false
a(3_1 # 3_1 # m10_160) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_160)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_160)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_160"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_160"}] Chiral true false false
a(3_1 # 3_1 # m10_161) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_161)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_161)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_161"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_161"}] Chiral true false false
a(3_1 # 3_1 # m10_162) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_162)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_162)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_162"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_162"}] Chiral true false false
a(3_1 # 3_1 # m10_163) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_163)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_163)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_163"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_163"}] Chiral true false false
a(3_1 # 3_1 # m10_164) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_164)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_164)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_164"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_164"}] Chiral true false false
a(3_1 # 3_1 # m10_165) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_165)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_165)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_165"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_165"}] Chiral true false false
a(3_1 # 3_1 # m10_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_18)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_18"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_18"}] Chiral true false false
a(3_1 # 3_1 # m10_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_19)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_19"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_19"}] Chiral true false false
a(3_1 # 3_1 # m10_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_2"}] Chiral true false false
a(3_1 # 3_1 # m10_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_20)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_20"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_20"}] Chiral true false false
a(3_1 # 3_1 # m10_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_21)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_21"}] Chiral true false false
a(3_1 # 3_1 # m10_22) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_22)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_22)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_22"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_22"}] Chiral true false false
a(3_1 # 3_1 # m10_23) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_23)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_23)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_23"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_23"}] Chiral true false false
a(3_1 # 3_1 # m10_24) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_24)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_24)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_24"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_24"}] Chiral true false false
a(3_1 # 3_1 # m10_25) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_25)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_25)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_25"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_25"}] Chiral true false false
a(3_1 # 3_1 # m10_26) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_26)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_26)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_26"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_26"}] Chiral true false false
a(3_1 # 3_1 # m10_27) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_27)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_27)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_27"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_27"}] Chiral true false false
a(3_1 # 3_1 # m10_28) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_28)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_28)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_28"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_28"}] Chiral true false false
a(3_1 # 3_1 # m10_29) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_29)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_29)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_29"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_29"}] Chiral true false false
a(3_1 # 3_1 # m10_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_3"}] Chiral true false false
a(3_1 # 3_1 # m10_30) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_30)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_30)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_30"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_30"}] Chiral true false false
a(3_1 # 3_1 # m10_31) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_31)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_31)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_31"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_31"}] Chiral true false false
a(3_1 # 3_1 # m10_32) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_32)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_32)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_32"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_32"}] Chiral true false false
a(3_1 # 3_1 # m10_34) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_34)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_34)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_34"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_34"}] Chiral true false false
a(3_1 # 3_1 # m10_35) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_35)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_35)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_35"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_35"}] Chiral true false false
a(3_1 # 3_1 # m10_36) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_36)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_36)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_36"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_36"}] Chiral true false false
a(3_1 # 3_1 # m10_38) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_38)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_38)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_38"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_38"}] Chiral true false false
a(3_1 # 3_1 # m10_39) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_39)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_39)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_39"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_39"}] Chiral true false false
a(3_1 # 3_1 # m10_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_4"}] Chiral true false false
a(3_1 # 3_1 # m10_40) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_40)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_40)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_40"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_40"}] Chiral true false false
a(3_1 # 3_1 # m10_41) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_41)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_41)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_41"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_41"}] Chiral true false false
a(3_1 # 3_1 # m10_42) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_42)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_42)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_42"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_42"}] Chiral true false false
a(3_1 # 3_1 # m10_44) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_44)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_44)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_44"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_44"}] Chiral true false false
a(3_1 # 3_1 # m10_46) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_46)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_46)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_46"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_46"}] Chiral true false false
a(3_1 # 3_1 # m10_47) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_47)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_47)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_47"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_47"}] Chiral true false false
a(3_1 # 3_1 # m10_48) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_48)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_48)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_48"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_48"}] Chiral true false false
a(3_1 # 3_1 # m10_49) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_49)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_49)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_49"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_49"}] Chiral true false false
a(3_1 # 3_1 # m10_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_5"}] Chiral true false false
a(3_1 # 3_1 # m10_50) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_50)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_50)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_50"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_50"}] Chiral true false false
a(3_1 # 3_1 # m10_51) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_51)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_51)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_51"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_51"}] Chiral true false false
a(3_1 # 3_1 # m10_52) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_52)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_52)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_52"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_52"}] Chiral true false false
a(3_1 # 3_1 # m10_53) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_53)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_53)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_53"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_53"}] Chiral true false false
a(3_1 # 3_1 # m10_54) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_54)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_54)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_54"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_54"}] Chiral true false false
a(3_1 # 3_1 # m10_55) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_55)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_55)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_55"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_55"}] Chiral true false false
a(3_1 # 3_1 # m10_56) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_56)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_56)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_56"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_56"}] Chiral true false false
a(3_1 # 3_1 # m10_57) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_57)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_57)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_57"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_57"}] Chiral true false false
a(3_1 # 3_1 # m10_58) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_58)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_58)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_58"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_58"}] Chiral true false false
a(3_1 # 3_1 # m10_59) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_59)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_59)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_59"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_59"}] Chiral true false false
a(3_1 # 3_1 # m10_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_6"}] Chiral true false false
a(3_1 # 3_1 # m10_60) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_60)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_60)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_60"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_60"}] Chiral true false false
a(3_1 # 3_1 # m10_61) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_61)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_61)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_61"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_61"}] Chiral true false false
a(3_1 # 3_1 # m10_62) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_62)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_62)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_62"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_62"}] Chiral true false false
a(3_1 # 3_1 # m10_63) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_63)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_63)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_63"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_63"}] Chiral true false false
a(3_1 # 3_1 # m10_64) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_64)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_64)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_64"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_64"}] Chiral true false false
a(3_1 # 3_1 # m10_65) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_65)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_65)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_65"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_65"}] Chiral true false false
a(3_1 # 3_1 # m10_66) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_66)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_66)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_66"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_66"}] Chiral true false false
a(3_1 # 3_1 # m10_67) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_67)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_67)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_67"}, {"dataset": "OrientedKnots", "key": "3_1 # 3_1 # mr10_67"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_67"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # r10_67"}] Chiral false false false
a(3_1 # 3_1 # m10_68) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 3_1 # m10_68)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m3_1 # 10_68)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 3_1 # m10_68"}, {"dataset": "OrientedKnots", "key": "m3_1 # m3_1 # 10_68"}] 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"