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 # 12a_184) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_184)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_184)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_184"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_184"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_184"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_184"}] Chiral false false false
a(3_1 # 12a_185) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_185)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_185)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_185"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_185"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_185"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_185"}] Chiral false false false
a(3_1 # 12a_186) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_186)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_186)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_186"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_186"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_186"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_186"}] Chiral false false false
a(3_1 # 12a_187) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_187)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_187)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_187"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_187"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_187"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_187"}] Chiral false false false
a(3_1 # 12a_188) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_188)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_188)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_188"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_188"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_188"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_188"}] Chiral false false false
a(3_1 # 12a_189) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_189)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_189)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_189"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_189"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_189"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_189"}] Chiral false false false
a(3_1 # 12a_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_19)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_19"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_19"}] Chiral true false false
a(3_1 # 12a_190) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_190)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_190)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_190"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_190"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_190"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_190"}] Chiral false false false
a(3_1 # 12a_191) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_191)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_191)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_191"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_191"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_191"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_191"}] Chiral false false false
a(3_1 # 12a_192) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_192)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_192)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_192"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_192"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_192"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_192"}] Chiral false false false
a(3_1 # 12a_193) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_193)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_193)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_193"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_193"}] Chiral true false false
a(3_1 # 12a_194) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_194)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_194)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_194"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_194"}] Chiral true false false
a(3_1 # 12a_195) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_195)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_195)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_195"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_195"}] Chiral true false false
a(3_1 # 12a_196) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_196)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_196)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_196"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_196"}] Chiral true false false
a(3_1 # 12a_197) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_197)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_197)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_197"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_197"}] Chiral true false false
a(3_1 # 12a_198) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_198)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_198)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_198"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_198"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_198"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_198"}] Chiral false false false
a(3_1 # 12a_199) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_199)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_199)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_199"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_199"}] Chiral true false false
a(3_1 # 12a_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_2"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_2"}] Chiral false false false
a(3_1 # 12a_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_20)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_20"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_20"}] Chiral true false false
a(3_1 # 12a_200) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_200)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_200)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_200"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_200"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_200"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_200"}] Chiral false false false
a(3_1 # 12a_201) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_201)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_201)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_201"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_201"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_201"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_201"}] Chiral false false false
a(3_1 # 12a_202) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_202)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_202)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_202"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_202"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_202"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_202"}] Chiral false false false
a(3_1 # 12a_203) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_203)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_203)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_203"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_203"}] Chiral true false false
a(3_1 # 12a_204) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_204)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_204)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_204"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_204"}] Chiral true false false
a(3_1 # 12a_205) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_205)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_205)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_205"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_205"}] Chiral true false false
a(3_1 # 12a_206) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_206)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_206)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_206"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_206"}] Chiral true false false
a(3_1 # 12a_207) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_207)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_207)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_207"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_207"}] Chiral true false false
a(3_1 # 12a_208) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_208)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_208)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_208"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_208"}] Chiral true false false
a(3_1 # 12a_209) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_209)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_209)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_209"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_209"}] Chiral true false false
a(3_1 # 12a_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_21)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_21"}] Chiral true false false
a(3_1 # 12a_210) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_210)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_210)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_210"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_210"}] Chiral true false false
a(3_1 # 12a_211) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_211)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_211)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_211"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_211"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_211"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_211"}] Chiral false false false
a(3_1 # 12a_212) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_212)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_212)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_212"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_212"}] Chiral true false false
a(3_1 # 12a_213) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_213)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_213)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_213"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_213"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_213"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_213"}] Chiral false false false
a(3_1 # 12a_214) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_214)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_214)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_214"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_214"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_214"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_214"}] Chiral false false false
a(3_1 # 12a_215) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_215)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_215)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_215"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_215"}] Chiral true false false
a(3_1 # 12a_216) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_216)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_216)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_216"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_216"}] Chiral true false false
a(3_1 # 12a_217) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_217)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_217)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_217"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_217"}] Chiral true false false
a(3_1 # 12a_218) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_218)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_218)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_218"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_218"}] Chiral true false false
a(3_1 # 12a_219) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_219)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_219)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_219"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_219"}] Chiral true false false
a(3_1 # 12a_22) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_22)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_22)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_22"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_22"}] Chiral true false false
a(3_1 # 12a_220) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_220)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_220)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_220"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_220"}] Chiral true false false
a(3_1 # 12a_221) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_221)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_221)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_221"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_221"}] Chiral true false false
a(3_1 # 12a_222) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_222)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_222)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_222"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_222"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_222"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_222"}] Chiral false false false
a(3_1 # 12a_223) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_223)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_223)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_223"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_223"}] Chiral true false false
a(3_1 # 12a_224) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_224)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_224)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_224"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_224"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_224"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_224"}] Chiral false false false
a(3_1 # 12a_225) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_225)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_225)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_225"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_225"}] Chiral true false false
a(3_1 # 12a_226) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_226)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_226)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_226"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_226"}] Chiral true false false
a(3_1 # 12a_227) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_227)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_227)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_227"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_227"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_227"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_227"}] Chiral false false false
a(3_1 # 12a_228) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_228)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_228)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_228"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_228"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_228"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_228"}] Chiral false false false
a(3_1 # 12a_229) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_229)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_229)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_229"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_229"}] Chiral true false false
a(3_1 # 12a_23) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_23)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_23)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_23"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_23"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_23"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_23"}] Chiral false false false
a(3_1 # 12a_230) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_230)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_230)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_230"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_230"}] Chiral true false false
a(3_1 # 12a_231) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_231)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_231)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_231"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_231"}] Chiral true false false
a(3_1 # 12a_232) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_232)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_232)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_232"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_232"}] Chiral true false false
a(3_1 # 12a_233) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_233)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_233)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_233"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_233"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_233"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_233"}] Chiral false false false
a(3_1 # 12a_234) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_234)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_234)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_234"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_234"}] Chiral true false false
a(3_1 # 12a_235) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_235)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_235)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_235"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_235"}] Chiral true false false
a(3_1 # 12a_236) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_236)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_236)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_236"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_236"}] Chiral true false false
a(3_1 # 12a_237) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_237)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_237)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_237"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_237"}] Chiral true false false
a(3_1 # 12a_238) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_238)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_238)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_238"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_238"}] Chiral true false false
a(3_1 # 12a_239) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_239)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_239)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_239"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_239"}] Chiral true false false
a(3_1 # 12a_24) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_24)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_24)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_24"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_24"}] Chiral true false false
a(3_1 # 12a_240) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_240)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_240)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_240"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_240"}] Chiral true false false
a(3_1 # 12a_241) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_241)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_241)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_241"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_241"}] Chiral true false false
a(3_1 # 12a_242) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_242)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_242)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_242"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_242"}] Chiral true false false
a(3_1 # 12a_243) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_243)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_243)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_243"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_243"}] Chiral true false false
a(3_1 # 12a_244) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_244)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_244)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_244"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_244"}] Chiral true false false
a(3_1 # 12a_245) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_245)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_245)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_245"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_245"}] Chiral true false false
a(3_1 # 12a_246) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_246)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_246)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_246"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_246"}] Chiral true false false
a(3_1 # 12a_247) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_247)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_247)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_247"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_247"}] Chiral true false false
a(3_1 # 12a_248) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_248)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_248)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_248"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_248"}] Chiral true false false
a(3_1 # 12a_249) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_249)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_249)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_249"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_249"}] Chiral true false false
a(3_1 # 12a_25) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_25)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_25)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_25"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_25"}] Chiral true false false
a(3_1 # 12a_250) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_250)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_250)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_250"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_250"}] Chiral true false false
a(3_1 # 12a_251) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_251)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_251)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_251"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_251"}] Chiral true false false
a(3_1 # 12a_252) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_252)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_252)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_252"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_252"}] Chiral true false false
a(3_1 # 12a_253) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_253)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_253)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_253"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_253"}] Chiral true false false
a(3_1 # 12a_254) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_254)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_254)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_254"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_254"}] Chiral true false false
a(3_1 # 12a_255) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_255)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_255)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_255"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_255"}] Chiral true false false
a(3_1 # 12a_256) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_256)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_256)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_256"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_256"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_256"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_256"}] Chiral false false false
a(3_1 # 12a_257) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_257)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_257)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_257"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_257"}] Chiral true false false
a(3_1 # 12a_258) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_258)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_258)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_258"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_258"}] Chiral true false false
a(3_1 # 12a_259) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_259)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_259)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_259"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_259"}] Chiral true false false
a(3_1 # 12a_26) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_26)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_26)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_26"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_26"}] Chiral true false false
a(3_1 # 12a_260) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_260)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_260)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_260"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_260"}] Chiral true false false
a(3_1 # 12a_261) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_261)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_261)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_261"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_261"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_261"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_261"}] Chiral false false false
a(3_1 # 12a_262) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_262)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_262)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_262"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_262"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_262"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_262"}] Chiral false false false
a(3_1 # 12a_263) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_263)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_263)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_263"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_263"}] Chiral true false false
a(3_1 # 12a_264) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_264)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_264)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_264"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_264"}] Chiral true false false
a(3_1 # 12a_265) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_265)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_265)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_265"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_265"}] Chiral true false false
a(3_1 # 12a_266) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_266)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_266)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_266"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_266"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_266"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_266"}] Chiral false false false
a(3_1 # 12a_267) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_267)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_267)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_267"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_267"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_267"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_267"}] Chiral false false false
a(3_1 # 12a_268) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_268)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_268)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_268"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_268"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_268"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_268"}] Chiral false false false
a(3_1 # 12a_269) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_269)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_269)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_269"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_269"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_269"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_269"}] Chiral false false false
a(3_1 # 12a_27) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_27)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_27)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_27"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_27"}] Chiral true false false
a(3_1 # 12a_270) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_270)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_270)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_270"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_270"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_270"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_270"}] Chiral false false false
a(3_1 # 12a_271) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_271)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_271)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_271"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_271"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_271"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_271"}] Chiral false false false
a(3_1 # 12a_272) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_272)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_272)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_272"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_272"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_272"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_272"}] Chiral false false false
a(3_1 # 12a_273) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_273)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_273)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_273"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_273"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_273"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_273"}] Chiral false 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"