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

Snapshot changed; rerun validation.

name unoriented_members oriented_members symmetry reversible positive_amphichiral negative_amphichiral
a(4_1 # 12a_77) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_77)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_77)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_77"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_77"}] Chiral true false false
a(4_1 # 12a_770) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_770)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_770)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_770"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_770"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_770"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_770"}] Chiral false false false
a(4_1 # 12a_771) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_771)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_771)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_771"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_771"}] Chiral true false false
a(4_1 # 12a_772) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_772)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_772)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_772"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_772"}] Chiral true false false
a(4_1 # 12a_773) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_773)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_773)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_773"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_773"}] Chiral true false false
a(4_1 # 12a_774) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_774)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_774)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_774"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_774"}] Chiral true false false
a(4_1 # 12a_775) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_775)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_775)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_775"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_775"}] Chiral true false false
a(4_1 # 12a_776) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_776)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_776)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_776"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_776"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_776"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_776"}] Chiral false false false
a(4_1 # 12a_777) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_777)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_777)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_777"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_777"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_777"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_777"}] Chiral false false false
a(4_1 # 12a_778) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_778)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_778)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_778"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_778"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_778"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_778"}] Chiral false false false
a(4_1 # 12a_779) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_779)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_779)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_779"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_779"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_779"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_779"}] Chiral false false false
a(4_1 # 12a_78) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_78)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_78)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_78"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_78"}] Chiral true false false
a(4_1 # 12a_780) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_780)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_780)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_780"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_780"}] Chiral true false false
a(4_1 # 12a_781) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_781)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_781)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_781"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_781"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_781"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_781"}] Chiral false false false
a(4_1 # 12a_782) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_782)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_782)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_782"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_782"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_782"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_782"}] Chiral false false false
a(4_1 # 12a_783) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_783)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_783)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_783"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_783"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_783"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_783"}] Chiral false false false
a(4_1 # 12a_784) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_784)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_784)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_784"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_784"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_784"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_784"}] Chiral false false false
a(4_1 # 12a_785) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_785)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_785)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_785"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_785"}] Chiral true false false
a(4_1 # 12a_786) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_786)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_786)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_786"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_786"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_786"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_786"}] Chiral false false false
a(4_1 # 12a_787) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_787)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_787)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_787"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_787"}] Chiral true false false
a(4_1 # 12a_788) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_788)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_788)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_788"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_788"}] Chiral true false false
a(4_1 # 12a_789) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_789)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_789)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_789"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_789"}] Chiral true false false
a(4_1 # 12a_79) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_79)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_79)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_79"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_79"}] Chiral true false false
a(4_1 # 12a_790) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_790)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_790)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_790"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_790"}] Chiral true false false
a(4_1 # 12a_791) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_791)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_791)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_791"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_791"}] Chiral true false false
a(4_1 # 12a_792) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_792)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_792)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_792"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_792"}] Chiral true false false
a(4_1 # 12a_793) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_793)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_793)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_793"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_793"}] Chiral true false false
a(4_1 # 12a_794) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_794)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_794)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_794"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_794"}] Chiral true false false
a(4_1 # 12a_795) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_795)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_795)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_795"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_795"}] Chiral true false false
a(4_1 # 12a_796) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_796)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_796)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_796"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_796"}] Chiral true false false
a(4_1 # 12a_797) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_797)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_797)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_797"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_797"}] Chiral true false false
a(4_1 # 12a_798) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_798)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_798)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_798"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_798"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_798"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_798"}] Chiral false false false
a(4_1 # 12a_799) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_799)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_799)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_799"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_799"}] Chiral true false false
a(4_1 # 12a_8) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_8)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_8)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_8"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_8"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_8"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_8"}] Chiral false false false
a(4_1 # 12a_80) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_80)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_80)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_80"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_80"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_80"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_80"}] Chiral false false false
a(4_1 # 12a_800) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_800)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_800)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_800"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_800"}] Chiral true false false
a(4_1 # 12a_801) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_801)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_801)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_801"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_801"}] Chiral true false false
a(4_1 # 12a_802) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_802)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_802)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_802"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_802"}] Chiral true false false
a(4_1 # 12a_803) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_803)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_803)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_803"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_803"}] Chiral true false false
a(4_1 # 12a_804) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_804)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_804)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_804"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_804"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_804"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_804"}] Chiral false false false
a(4_1 # 12a_805) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_805)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_805)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_805"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_805"}] Chiral true false false
a(4_1 # 12a_806) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_806)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_806)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_806"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_806"}] Chiral true false false
a(4_1 # 12a_807) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_807)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_807)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_807"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_807"}] Chiral true false false
a(4_1 # 12a_808) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_808)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_808)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_808"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_808"}] Chiral true false false
a(4_1 # 12a_809) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_809)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_809)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_809"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_809"}] Chiral true false false
a(4_1 # 12a_81) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_81)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_81)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_81"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_81"}] Chiral true false false
a(4_1 # 12a_810) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_810)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_810)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_810"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_810"}] Chiral true false false
a(4_1 # 12a_811) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_811)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_811)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_811"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_811"}] Chiral true false false
a(4_1 # 12a_812) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_812)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_812)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_812"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_812"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_812"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_812"}] Chiral false false false
a(4_1 # 12a_813) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_813)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_813)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_813"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_813"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_813"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_813"}] Chiral false false false
a(4_1 # 12a_814) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_814)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_814)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_814"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_814"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_814"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_814"}] Chiral false false false
a(4_1 # 12a_815) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_815)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_815)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_815"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_815"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_815"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_815"}] Chiral false false false
a(4_1 # 12a_816) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_816)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_816)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_816"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_816"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_816"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_816"}] Chiral false false false
a(4_1 # 12a_817) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_817)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_817)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_817"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_817"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_817"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_817"}] Chiral false false false
a(4_1 # 12a_818) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_818)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_818)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_818"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_818"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_818"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_818"}] Chiral false false false
a(4_1 # 12a_819) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_819)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_819"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_819"}] Negative amphichiral false false true
a(4_1 # 12a_82) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_82)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_82)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_82"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_82"}] Chiral true false false
a(4_1 # 12a_820) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_820)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_820)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_820"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_820"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_820"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_820"}] Chiral false false false
a(4_1 # 12a_821) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_821)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_821"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_821"}] Negative amphichiral false false true
a(4_1 # 12a_822) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_822)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_822)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_822"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_822"}] Chiral true false false
a(4_1 # 12a_823) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_823)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_823)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_823"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_823"}] Chiral true false false
a(4_1 # 12a_824) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_824)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_824)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_824"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_824"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_824"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_824"}] Chiral false false false
a(4_1 # 12a_825) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_825)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_825)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_825"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_825"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_825"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_825"}] Chiral false false false
a(4_1 # 12a_826) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_826)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_826)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_826"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_826"}] Chiral true false false
a(4_1 # 12a_827) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_827)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_827)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_827"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_827"}] Chiral true false false
a(4_1 # 12a_828) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_828)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_828)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_828"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_828"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_828"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_828"}] Chiral false false false
a(4_1 # 12a_829) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_829)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_829)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_829"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_829"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_829"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_829"}] Chiral false false false
a(4_1 # 12a_83) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_83)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_83)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_83"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_83"}] Chiral true false false
a(4_1 # 12a_830) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_830)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_830)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_830"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_830"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_830"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_830"}] Chiral false false false
a(4_1 # 12a_831) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_831)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_831)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_831"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_831"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_831"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_831"}] Chiral false false false
a(4_1 # 12a_832) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_832)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_832)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_832"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_832"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_832"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_832"}] Chiral false false false
a(4_1 # 12a_833) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_833)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_833)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_833"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_833"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_833"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_833"}] Chiral false false false
a(4_1 # 12a_834) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_834)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_834)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_834"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_834"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_834"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_834"}] Chiral false false false
a(4_1 # 12a_835) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_835)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_835)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_835"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_835"}] Chiral true false false
a(4_1 # 12a_836) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_836)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_836)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_836"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_836"}] Chiral true false false
a(4_1 # 12a_837) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_837)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_837)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_837"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_837"}] Chiral true false false
a(4_1 # 12a_838) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_838)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_838)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_838"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_838"}] Chiral true false false
a(4_1 # 12a_839) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_839)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_839)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_839"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_839"}] Chiral true false false
a(4_1 # 12a_84) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_84)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_84)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_84"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_84"}] Chiral true false false
a(4_1 # 12a_840) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_840)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_840)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_840"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_840"}] Chiral true false false
a(4_1 # 12a_841) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_841)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_841)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_841"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_841"}] Chiral true false false
a(4_1 # 12a_842) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_842)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_842)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_842"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_842"}] Chiral true false false
a(4_1 # 12a_843) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_843)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_843)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_843"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_843"}] Chiral true false false
a(4_1 # 12a_844) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_844)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_844)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_844"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_844"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_844"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_844"}] Chiral false false false
a(4_1 # 12a_845) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_845)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_845)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_845"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_845"}] Chiral true false false
a(4_1 # 12a_846) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_846)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_846)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_846"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_846"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_846"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_846"}] Chiral false false false
a(4_1 # 12a_847) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_847)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_847)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_847"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_847"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_847"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_847"}] Chiral false false false
a(4_1 # 12a_848) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_848)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_848)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_848"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_848"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_848"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_848"}] Chiral false false false
a(4_1 # 12a_849) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_849)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_849)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_849"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_849"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_849"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_849"}] Chiral false false false
a(4_1 # 12a_85) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_85)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_85)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_85"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_85"}] Chiral true false false
a(4_1 # 12a_850) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_850)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_850)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_850"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_850"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_850"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_850"}] Chiral false false false
a(4_1 # 12a_851) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_851)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_851)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_851"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_851"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_851"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_851"}] Chiral false false false
a(4_1 # 12a_852) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_852)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_852)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_852"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_852"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_852"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_852"}] Chiral false false false
a(4_1 # 12a_853) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_853)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_853)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_853"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_853"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_853"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_853"}] Chiral false false false
a(4_1 # 12a_854) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_854)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_854)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_854"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_854"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_854"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_854"}] Chiral false false false
a(4_1 # 12a_855) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_855)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_855)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_855"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_855"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_855"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_855"}] Chiral false false false
a(4_1 # 12a_856) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_856)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_856)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_856"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_856"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_856"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_856"}] Chiral false false false
a(4_1 # 12a_857) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_857)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_857)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_857"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_857"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_857"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_857"}] Chiral false false false
a(4_1 # 12a_858) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_858)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_858)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_858"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_858"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_858"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_858"}] Chiral false false false
a(4_1 # 12a_859) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_859)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_859)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_859"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_859"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_859"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_859"}] 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"