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

Snapshot changed; rerun validation.

name unoriented_members oriented_members symmetry reversible positive_amphichiral negative_amphichiral
a(4_1 # 12n_770) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_770)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_770)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_770"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_770"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_770"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_770"}] Chiral false false false
a(4_1 # 12n_771) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_771)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_771)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_771"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_771"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_771"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_771"}] Chiral false false false
a(4_1 # 12n_772) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_772)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_772)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_772"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_772"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_772"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_772"}] Chiral false false false
a(4_1 # 12n_773) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_773)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_773)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_773"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_773"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_773"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_773"}] Chiral false false false
a(4_1 # 12n_774) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_774)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_774)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_774"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_774"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_774"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_774"}] Chiral false false false
a(4_1 # 12n_775) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_775)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_775)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_775"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_775"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_775"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_775"}] Chiral false false false
a(4_1 # 12n_776) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_776)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_776)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_776"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_776"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_776"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_776"}] Chiral false false false
a(4_1 # 12n_777) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_777)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_777)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_777"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_777"}] Chiral true false false
a(4_1 # 12n_778) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_778)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_778)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_778"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_778"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_778"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_778"}] Chiral false false false
a(4_1 # 12n_779) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_779)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_779)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_779"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_779"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_779"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_779"}] Chiral false false false
a(4_1 # 12n_78) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_78)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_78)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_78"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_78"}] Chiral true false false
a(4_1 # 12n_780) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_780)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_780)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_780"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_780"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_780"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_780"}] Chiral false false false
a(4_1 # 12n_781) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_781)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_781)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_781"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_781"}] Chiral true false false
a(4_1 # 12n_782) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_782)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_782)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_782"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_782"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_782"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_782"}] Chiral false false false
a(4_1 # 12n_783) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_783)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_783)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_783"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_783"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_783"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_783"}] Chiral false false false
a(4_1 # 12n_784) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_784)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_784)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_784"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_784"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_784"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_784"}] Chiral false false false
a(4_1 # 12n_785) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_785)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_785)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_785"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_785"}] Chiral true false false
a(4_1 # 12n_786) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_786)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_786)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_786"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_786"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_786"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_786"}] Chiral false false false
a(4_1 # 12n_787) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_787)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_787)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_787"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_787"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_787"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_787"}] Chiral false false false
a(4_1 # 12n_788) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_788)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_788)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_788"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_788"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_788"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_788"}] Chiral false false false
a(4_1 # 12n_789) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_789)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_789)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_789"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_789"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_789"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_789"}] Chiral false false false
a(4_1 # 12n_79) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_79)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_79)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_79"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_79"}] Chiral true false false
a(4_1 # 12n_790) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_790)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_790)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_790"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_790"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_790"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_790"}] Chiral false false false
a(4_1 # 12n_791) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_791)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_791)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_791"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_791"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_791"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_791"}] Chiral false false false
a(4_1 # 12n_792) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_792)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_792)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_792"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_792"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_792"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_792"}] Chiral false false false
a(4_1 # 12n_793) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_793)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_793)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_793"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_793"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_793"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_793"}] Chiral false false false
a(4_1 # 12n_794) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_794)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_794)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_794"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_794"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_794"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_794"}] Chiral false false false
a(4_1 # 12n_795) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_795)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_795)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_795"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_795"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_795"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_795"}] Chiral false false false
a(4_1 # 12n_796) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_796)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_796)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_796"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_796"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_796"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_796"}] Chiral false false false
a(4_1 # 12n_797) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_797)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_797)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_797"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_797"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_797"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_797"}] Chiral false false false
a(4_1 # 12n_798) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_798)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_798)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_798"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_798"}] Chiral true false false
a(4_1 # 12n_799) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_799)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_799)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_799"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_799"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_799"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_799"}] Chiral false false false
a(4_1 # 12n_8) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_8)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_8)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_8"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_8"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_8"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_8"}] Chiral false false false
a(4_1 # 12n_80) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_80)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_80)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_80"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_80"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_80"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_80"}] Chiral false false false
a(4_1 # 12n_800) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_800)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_800)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_800"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_800"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_800"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_800"}] Chiral false false false
a(4_1 # 12n_801) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_801)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_801)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_801"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_801"}] Chiral true false false
a(4_1 # 12n_802) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_802)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_802)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_802"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_802"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_802"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_802"}] Chiral false false false
a(4_1 # 12n_803) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_803)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_803)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_803"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_803"}] Chiral true false false
a(4_1 # 12n_804) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_804)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_804)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_804"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_804"}] Chiral true false false
a(4_1 # 12n_805) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_805)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_805)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_805"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_805"}] Chiral true false false
a(4_1 # 12n_806) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_806)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_806)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_806"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_806"}] Chiral true false false
a(4_1 # 12n_807) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_807)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_807)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_807"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_807"}] Chiral true false false
a(4_1 # 12n_808) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_808)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_808)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_808"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_808"}] Chiral true false false
a(4_1 # 12n_809) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_809)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_809)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_809"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_809"}] Chiral true false false
a(4_1 # 12n_81) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_81)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_81)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_81"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_81"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_81"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_81"}] Chiral false false false
a(4_1 # 12n_810) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_810)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_810)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_810"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_810"}] Chiral true false false
a(4_1 # 12n_811) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_811)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_811)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_811"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_811"}] Chiral true false false
a(4_1 # 12n_812) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_812)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_812)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_812"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_812"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_812"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_812"}] Chiral false false false
a(4_1 # 12n_813) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_813)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_813)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_813"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_813"}] Chiral true false false
a(4_1 # 12n_814) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_814)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_814)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_814"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_814"}] Chiral true false false
a(4_1 # 12n_815) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_815)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_815)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_815"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_815"}] Chiral true false false
a(4_1 # 12n_816) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_816)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_816)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_816"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_816"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_816"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_816"}] Chiral false false false
a(4_1 # 12n_817) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_817)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_817)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_817"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_817"}] Chiral true false false
a(4_1 # 12n_818) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_818)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_818)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_818"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_818"}] Chiral true false false
a(4_1 # 12n_819) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_819)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_819)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_819"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_819"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_819"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_819"}] Chiral false false false
a(4_1 # 12n_82) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_82)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_82)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_82"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_82"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_82"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_82"}] Chiral false false false
a(4_1 # 12n_820) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_820)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_820)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_820"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_820"}] Chiral true false false
a(4_1 # 12n_821) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_821)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_821)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_821"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_821"}] Chiral true false false
a(4_1 # 12n_822) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_822)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_822)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_822"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_822"}] Chiral true false false
a(4_1 # 12n_823) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_823)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_823)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_823"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_823"}] Chiral true false false
a(4_1 # 12n_824) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_824)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_824)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_824"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_824"}] Chiral true false false
a(4_1 # 12n_825) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_825)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_825)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_825"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_825"}] Chiral true false false
a(4_1 # 12n_826) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_826)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_826)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_826"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_826"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_826"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_826"}] Chiral false false false
a(4_1 # 12n_827) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_827)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_827)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_827"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_827"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_827"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_827"}] Chiral false false false
a(4_1 # 12n_828) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_828)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_828)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_828"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_828"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_828"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_828"}] Chiral false false false
a(4_1 # 12n_829) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_829)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_829)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_829"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_829"}] Chiral true false false
a(4_1 # 12n_83) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_83)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_83)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_83"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_83"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_83"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_83"}] Chiral false false false
a(4_1 # 12n_830) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_830)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_830)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_830"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_830"}] Chiral true false false
a(4_1 # 12n_831) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_831)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_831)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_831"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_831"}] Chiral true false false
a(4_1 # 12n_832) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_832)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_832)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_832"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_832"}] Chiral true false false
a(4_1 # 12n_833) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_833)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_833)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_833"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_833"}] Chiral true false false
a(4_1 # 12n_834) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_834)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_834)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_834"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_834"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_834"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_834"}] Chiral false false false
a(4_1 # 12n_835) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_835)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_835)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_835"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_835"}] Chiral true false false
a(4_1 # 12n_836) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_836)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_836)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_836"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_836"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_836"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_836"}] Chiral false false false
a(4_1 # 12n_837) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_837)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_837)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_837"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_837"}] Chiral true false false
a(4_1 # 12n_838) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_838)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_838)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_838"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_838"}] Chiral true false false
a(4_1 # 12n_839) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_839)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_839)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_839"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_839"}] Chiral true false false
a(4_1 # 12n_84) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_84)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_84)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_84"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_84"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_84"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_84"}] Chiral false false false
a(4_1 # 12n_840) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_840)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_840)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_840"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_840"}] Chiral true false false
a(4_1 # 12n_841) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_841)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_841)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_841"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_841"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_841"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_841"}] Chiral false false false
a(4_1 # 12n_842) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_842)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_842)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_842"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_842"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_842"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_842"}] Chiral false false false
a(4_1 # 12n_843) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_843)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_843)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_843"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_843"}] Chiral true false false
a(4_1 # 12n_844) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_844)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_844)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_844"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_844"}] Chiral true false false
a(4_1 # 12n_845) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_845)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_845)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_845"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_845"}] Chiral true false false
a(4_1 # 12n_846) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_846)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_846)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_846"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_846"}] Chiral true false false
a(4_1 # 12n_847) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_847)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_847)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_847"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_847"}] Chiral true false false
a(4_1 # 12n_848) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_848)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_848)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_848"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_848"}] Chiral true false false
a(4_1 # 12n_849) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_849)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_849)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_849"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_849"}] Chiral true false false
a(4_1 # 12n_85) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_85)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_85)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_85"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_85"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_85"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_85"}] Chiral false false false
a(4_1 # 12n_850) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_850)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_850)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_850"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_850"}] Chiral true false false
a(4_1 # 12n_851) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_851)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_851)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_851"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_851"}] Chiral true false false
a(4_1 # 12n_852) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_852)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_852)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_852"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_852"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_852"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_852"}] Chiral false false false
a(4_1 # 12n_853) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_853)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_853)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_853"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_853"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_853"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_853"}] Chiral false false false
a(4_1 # 12n_854) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_854)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_854)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_854"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_854"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_854"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_854"}] Chiral false false false
a(4_1 # 12n_855) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_855)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_855)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_855"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_855"}] Chiral true false false
a(4_1 # 12n_856) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_856)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_856)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_856"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_856"}] Chiral true false false
a(4_1 # 12n_857) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_857)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_857)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_857"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_857"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_857"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_857"}] Chiral false false false
a(4_1 # 12n_858) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_858)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_858)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_858"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_858"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_858"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_858"}] Chiral false false false
a(4_1 # 12n_859) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_859)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_859)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_859"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_859"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_859"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_859"}] Chiral false false false
a(4_1 # 12n_86) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_86)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_86)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_86"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_86"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_86"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_86"}] Chiral false false false

100 rows shown · 1737894 matching rows · Unoriented Mirror Classes

First page · Next page →

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"