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_364) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_364)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_364)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_364"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_364"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_364"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_364"}] Chiral false false false
a(3_1 # 12a_365) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_365)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_365)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_365"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_365"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_365"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_365"}] Chiral false false false
a(3_1 # 12a_366) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_366)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_366)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_366"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_366"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_366"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_366"}] Chiral false false false
a(3_1 # 12a_367) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_367)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_367)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_367"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_367"}] Chiral true false false
a(3_1 # 12a_368) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_368)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_368)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_368"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_368"}] Chiral true false false
a(3_1 # 12a_369) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_369)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_369)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_369"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_369"}] Chiral true false false
a(3_1 # 12a_37) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_37)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_37)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_37"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_37"}] Chiral true false false
a(3_1 # 12a_370) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_370)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_370)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_370"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_370"}] Chiral true false false
a(3_1 # 12a_371) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_371)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_371)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_371"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_371"}] Chiral true false false
a(3_1 # 12a_372) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_372)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_372)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_372"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_372"}] Chiral true false false
a(3_1 # 12a_373) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_373)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_373)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_373"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_373"}] Chiral true false false
a(3_1 # 12a_374) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_374)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_374)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_374"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_374"}] Chiral true false false
a(3_1 # 12a_375) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_375)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_375)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_375"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_375"}] Chiral true false false
a(3_1 # 12a_376) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_376)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_376)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_376"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_376"}] Chiral true false false
a(3_1 # 12a_377) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_377)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_377)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_377"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_377"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_377"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_377"}] Chiral false false false
a(3_1 # 12a_378) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_378)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_378)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_378"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_378"}] Chiral true false false
a(3_1 # 12a_379) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_379)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_379)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_379"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_379"}] Chiral true false false
a(3_1 # 12a_38) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_38)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_38)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_38"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_38"}] Chiral true false false
a(3_1 # 12a_380) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_380)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_380)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_380"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_380"}] Chiral true false false
a(3_1 # 12a_381) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_381)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_381)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_381"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_381"}] Chiral true false false
a(3_1 # 12a_382) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_382)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_382)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_382"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_382"}] Chiral true false false
a(3_1 # 12a_383) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_383)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_383)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_383"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_383"}] Chiral true false false
a(3_1 # 12a_384) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_384)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_384)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_384"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_384"}] Chiral true false false
a(3_1 # 12a_385) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_385)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_385)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_385"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_385"}] Chiral true false false
a(3_1 # 12a_386) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_386)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_386)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_386"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_386"}] Chiral true false false
a(3_1 # 12a_387) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_387)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_387)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_387"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_387"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_387"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_387"}] Chiral false false false
a(3_1 # 12a_388) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_388)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_388)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_388"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_388"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_388"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_388"}] Chiral false false false
a(3_1 # 12a_389) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_389)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_389)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_389"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_389"}] Chiral true false false
a(3_1 # 12a_39) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_39)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_39)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_39"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_39"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_39"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_39"}] Chiral false false false
a(3_1 # 12a_390) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_390)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_390)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_390"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_390"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_390"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_390"}] Chiral false false false
a(3_1 # 12a_391) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_391)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_391)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_391"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_391"}] Chiral true false false
a(3_1 # 12a_392) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_392)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_392)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_392"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_392"}] Chiral true false false
a(3_1 # 12a_393) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_393)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_393)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_393"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_393"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_393"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_393"}] Chiral false false false
a(3_1 # 12a_394) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_394)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_394)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_394"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_394"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_394"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_394"}] Chiral false false false
a(3_1 # 12a_395) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_395)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_395)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_395"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_395"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_395"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_395"}] Chiral false false false
a(3_1 # 12a_396) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_396)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_396)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_396"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_396"}] Chiral true false false
a(3_1 # 12a_397) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_397)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_397)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_397"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_397"}] Chiral true false false
a(3_1 # 12a_398) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_398)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_398)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_398"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_398"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_398"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_398"}] Chiral false false false
a(3_1 # 12a_399) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_399)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_399)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_399"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_399"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_399"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_399"}] Chiral false false false
a(3_1 # 12a_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_4"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_4"}] Chiral false false false
a(3_1 # 12a_40) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_40)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_40)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_40"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_40"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_40"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_40"}] Chiral false false false
a(3_1 # 12a_400) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_400)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_400)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_400"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_400"}] Chiral true false false
a(3_1 # 12a_401) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_401)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_401)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_401"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_401"}] Chiral true false false
a(3_1 # 12a_402) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_402)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_402)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_402"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_402"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_402"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_402"}] Chiral false false false
a(3_1 # 12a_403) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_403)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_403)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_403"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_403"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_403"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_403"}] Chiral false false false
a(3_1 # 12a_404) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_404)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_404)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_404"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_404"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_404"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_404"}] Chiral false false false
a(3_1 # 12a_405) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_405)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_405)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_405"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_405"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_405"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_405"}] Chiral false false false
a(3_1 # 12a_406) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_406)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_406)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_406"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_406"}] Chiral true false false
a(3_1 # 12a_407) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_407)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_407)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_407"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_407"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_407"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_407"}] Chiral false false false
a(3_1 # 12a_408) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_408)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_408)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_408"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_408"}] Chiral true false false
a(3_1 # 12a_409) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_409)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_409)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_409"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_409"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_409"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_409"}] Chiral false false false
a(3_1 # 12a_41) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_41)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_41)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_41"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_41"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_41"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_41"}] Chiral false false false
a(3_1 # 12a_410) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_410)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_410)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_410"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_410"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_410"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_410"}] Chiral false false false
a(3_1 # 12a_411) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_411)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_411)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_411"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_411"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_411"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_411"}] Chiral false false false
a(3_1 # 12a_412) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_412)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_412)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_412"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_412"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_412"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_412"}] Chiral false false false
a(3_1 # 12a_413) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_413)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_413)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_413"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_413"}] Chiral true false false
a(3_1 # 12a_414) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_414)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_414)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_414"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_414"}] Chiral true false false
a(3_1 # 12a_415) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_415)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_415)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_415"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_415"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_415"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_415"}] Chiral false false false
a(3_1 # 12a_416) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_416)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_416)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_416"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_416"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_416"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_416"}] Chiral false false false
a(3_1 # 12a_417) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_417)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_417)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_417"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_417"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_417"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_417"}] Chiral false false false
a(3_1 # 12a_418) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_418)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_418)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_418"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_418"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_418"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_418"}] Chiral false false false
a(3_1 # 12a_419) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_419)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_419)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_419"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_419"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_419"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_419"}] Chiral false false false
a(3_1 # 12a_42) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_42)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_42)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_42"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_42"}] Chiral true false false
a(3_1 # 12a_420) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_420)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_420)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_420"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_420"}] Chiral true false false
a(3_1 # 12a_421) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_421)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_421)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_421"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_421"}] Chiral true false false
a(3_1 # 12a_422) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_422)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_422)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_422"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_422"}] Chiral true false false
a(3_1 # 12a_423) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_423)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_423)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_423"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_423"}] Chiral true false false
a(3_1 # 12a_424) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_424)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_424)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_424"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_424"}] Chiral true false false
a(3_1 # 12a_425) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_425)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_425)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_425"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_425"}] Chiral true false false
a(3_1 # 12a_426) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_426)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_426)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_426"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_426"}] Chiral true false false
a(3_1 # 12a_427) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_427)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_427)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_427"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_427"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_427"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_427"}] Chiral false false false
a(3_1 # 12a_428) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_428)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_428)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_428"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_428"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_428"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_428"}] Chiral false false false
a(3_1 # 12a_429) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_429)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_429)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_429"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_429"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_429"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_429"}] Chiral false false false
a(3_1 # 12a_43) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_43)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_43)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_43"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_43"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_43"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_43"}] Chiral false false false
a(3_1 # 12a_430) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_430)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_430)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_430"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_430"}] Chiral true false false
a(3_1 # 12a_431) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_431)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_431)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_431"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_431"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_431"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_431"}] Chiral false false false
a(3_1 # 12a_432) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_432)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_432)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_432"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_432"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_432"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_432"}] Chiral false false false
a(3_1 # 12a_433) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_433)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_433)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_433"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_433"}] Chiral true false false
a(3_1 # 12a_434) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_434)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_434)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_434"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_434"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_434"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_434"}] Chiral false false false
a(3_1 # 12a_435) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_435)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_435)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_435"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_435"}] Chiral true false false
a(3_1 # 12a_436) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_436)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_436)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_436"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_436"}] Chiral true false false
a(3_1 # 12a_437) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_437)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_437)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_437"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_437"}] Chiral true false false
a(3_1 # 12a_438) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_438)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_438)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_438"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_438"}] Chiral true false false
a(3_1 # 12a_439) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_439)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_439)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_439"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_439"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_439"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_439"}] Chiral false false false
a(3_1 # 12a_44) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_44)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_44)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_44"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_44"}] Chiral true false false
a(3_1 # 12a_440) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_440)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_440)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_440"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_440"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_440"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_440"}] Chiral false false false
a(3_1 # 12a_441) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_441)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_441)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_441"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_441"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_441"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_441"}] Chiral false false false
a(3_1 # 12a_442) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_442)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_442)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_442"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_442"}] Chiral true false false
a(3_1 # 12a_443) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_443)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_443)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_443"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_443"}] Chiral true false false
a(3_1 # 12a_444) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_444)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_444)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_444"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_444"}] Chiral true false false
a(3_1 # 12a_445) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_445)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_445)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_445"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_445"}] Chiral true false false
a(3_1 # 12a_446) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_446)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_446)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_446"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_446"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_446"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_446"}] Chiral false false false
a(3_1 # 12a_447) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_447)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_447)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_447"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_447"}] Chiral true false false
a(3_1 # 12a_448) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_448)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_448)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_448"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_448"}] Chiral true false false
a(3_1 # 12a_449) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_449)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_449)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_449"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_449"}] Chiral true false false
a(3_1 # 12a_45) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_45)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_45)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_45"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_45"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_45"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_45"}] Chiral false false false
a(3_1 # 12a_450) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_450)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_450)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_450"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_450"}] Chiral true false false
a(3_1 # 12a_451) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_451)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_451)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_451"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_451"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_451"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_451"}] Chiral false false false
a(3_1 # 12a_452) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_452)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_452)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_452"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_452"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_452"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_452"}] Chiral false false false
a(3_1 # 12a_453) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_453)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_453)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_453"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_453"}] 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"