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_634) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_634)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_634)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_634"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_634"}] Chiral true false false
a(3_1 # 12a_635) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_635)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_635)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_635"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_635"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_635"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_635"}] Chiral false false false
a(3_1 # 12a_636) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_636)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_636)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_636"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_636"}] Chiral true false false
a(3_1 # 12a_637) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_637)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_637)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_637"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_637"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_637"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_637"}] Chiral false false false
a(3_1 # 12a_638) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_638)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_638)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_638"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_638"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_638"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_638"}] Chiral false false false
a(3_1 # 12a_639) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_639)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_639)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_639"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_639"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_639"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_639"}] Chiral false false false
a(3_1 # 12a_64) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_64)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_64)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_64"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_64"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_64"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_64"}] Chiral false false false
a(3_1 # 12a_640) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_640)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_640)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_640"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_640"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_640"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_640"}] Chiral false false false
a(3_1 # 12a_641) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_641)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_641)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_641"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_641"}] Chiral true false false
a(3_1 # 12a_642) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_642)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_642)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_642"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_642"}] Chiral true false false
a(3_1 # 12a_643) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_643)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_643)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_643"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_643"}] Chiral true false false
a(3_1 # 12a_644) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_644)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_644)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_644"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_644"}] Chiral true false false
a(3_1 # 12a_645) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_645)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_645)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_645"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_645"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_645"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_645"}] Chiral false false false
a(3_1 # 12a_646) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_646)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_646)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_646"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_646"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_646"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_646"}] Chiral false false false
a(3_1 # 12a_647) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_647)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_647)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_647"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_647"}] Chiral true false false
a(3_1 # 12a_648) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_648)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_648)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_648"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_648"}] Chiral true false false
a(3_1 # 12a_649) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_649)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_649)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_649"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_649"}] Chiral true false false
a(3_1 # 12a_65) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_65)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_65)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_65"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_65"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_65"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_65"}] Chiral false false false
a(3_1 # 12a_650) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_650)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_650)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_650"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_650"}] Chiral true false false
a(3_1 # 12a_651) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_651)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_651)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_651"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_651"}] Chiral true false false
a(3_1 # 12a_652) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_652)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_652)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_652"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_652"}] Chiral true false false
a(3_1 # 12a_653) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_653)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_653)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_653"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_653"}] Chiral true false false
a(3_1 # 12a_654) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_654)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_654)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_654"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_654"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_654"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_654"}] Chiral false false false
a(3_1 # 12a_655) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_655)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_655)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_655"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_655"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_655"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_655"}] Chiral false false false
a(3_1 # 12a_656) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_656)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_656)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_656"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_656"}] Chiral true false false
a(3_1 # 12a_657) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_657)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_657)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_657"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_657"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_657"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_657"}] Chiral false false false
a(3_1 # 12a_658) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_658)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_658)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_658"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_658"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_658"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_658"}] Chiral false false false
a(3_1 # 12a_659) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_659)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_659)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_659"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_659"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_659"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_659"}] Chiral false false false
a(3_1 # 12a_66) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_66)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_66)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_66"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_66"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_66"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_66"}] Chiral false false false
a(3_1 # 12a_660) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_660)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_660)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_660"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_660"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_660"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_660"}] Chiral false false false
a(3_1 # 12a_661) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_661)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_661)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_661"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_661"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_661"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_661"}] Chiral false false false
a(3_1 # 12a_662) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_662)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_662)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_662"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_662"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_662"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_662"}] Chiral false false false
a(3_1 # 12a_663) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_663)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_663)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_663"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_663"}] Chiral true false false
a(3_1 # 12a_664) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_664)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_664)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_664"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_664"}] Chiral true false false
a(3_1 # 12a_665) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_665)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_665)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_665"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_665"}] Chiral true false false
a(3_1 # 12a_666) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_666)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_666)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_666"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_666"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_666"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_666"}] Chiral false false false
a(3_1 # 12a_667) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_667)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_667)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_667"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_667"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_667"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_667"}] Chiral false false false
a(3_1 # 12a_668) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_668)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_668)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_668"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_668"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_668"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_668"}] Chiral false false false
a(3_1 # 12a_669) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_669)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_669)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_669"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_669"}] Chiral true false false
a(3_1 # 12a_67) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_67)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_67)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_67"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_67"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_67"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_67"}] Chiral false false false
a(3_1 # 12a_670) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_670)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_670)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_670"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_670"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_670"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_670"}] Chiral false false false
a(3_1 # 12a_671) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_671)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_671)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_671"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_671"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_671"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_671"}] Chiral false false false
a(3_1 # 12a_672) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_672)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_672)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_672"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_672"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_672"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_672"}] Chiral false false false
a(3_1 # 12a_673) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_673)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_673)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_673"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_673"}] Chiral true false false
a(3_1 # 12a_674) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_674)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_674)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_674"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_674"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_674"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_674"}] Chiral false false false
a(3_1 # 12a_675) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_675)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_675)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_675"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_675"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_675"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_675"}] Chiral false false false
a(3_1 # 12a_676) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_676)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_676)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_676"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_676"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_676"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_676"}] Chiral false false false
a(3_1 # 12a_677) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_677)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_677)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_677"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_677"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_677"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_677"}] Chiral false false false
a(3_1 # 12a_678) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_678)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_678)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_678"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_678"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_678"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_678"}] Chiral false false false
a(3_1 # 12a_679) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_679)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_679)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_679"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_679"}] Chiral true false false
a(3_1 # 12a_68) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_68)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_68)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_68"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_68"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_68"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_68"}] Chiral false false false
a(3_1 # 12a_680) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_680)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_680)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_680"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_680"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_680"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_680"}] Chiral false false false
a(3_1 # 12a_681) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_681)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_681)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_681"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_681"}] Chiral true false false
a(3_1 # 12a_682) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_682)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_682)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_682"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_682"}] Chiral true false false
a(3_1 # 12a_683) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_683)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_683)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_683"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_683"}] Chiral true false false
a(3_1 # 12a_684) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_684)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_684)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_684"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_684"}] Chiral true false false
a(3_1 # 12a_685) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_685)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_685)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_685"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_685"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_685"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_685"}] Chiral false false false
a(3_1 # 12a_686) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_686)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_686)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_686"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_686"}] Chiral true false false
a(3_1 # 12a_687) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_687)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_687)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_687"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_687"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_687"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_687"}] Chiral false false false
a(3_1 # 12a_688) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_688)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_688)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_688"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_688"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_688"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_688"}] Chiral false false false
a(3_1 # 12a_689) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_689)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_689)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_689"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_689"}] Chiral true false false
a(3_1 # 12a_69) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_69)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_69)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_69"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_69"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_69"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_69"}] Chiral false false false
a(3_1 # 12a_690) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_690)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_690)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_690"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_690"}] Chiral true false false
a(3_1 # 12a_691) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_691)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_691)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_691"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_691"}] Chiral true false false
a(3_1 # 12a_692) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_692)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_692)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_692"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_692"}] Chiral true false false
a(3_1 # 12a_693) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_693)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_693)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_693"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_693"}] Chiral true false false
a(3_1 # 12a_694) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_694)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_694)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_694"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_694"}] Chiral true false false
a(3_1 # 12a_695) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_695)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_695)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_695"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_695"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_695"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_695"}] Chiral false false false
a(3_1 # 12a_696) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_696)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_696)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_696"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_696"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_696"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_696"}] Chiral false false false
a(3_1 # 12a_697) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_697)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_697)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_697"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_697"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_697"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_697"}] Chiral false false false
a(3_1 # 12a_698) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_698)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_698)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_698"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_698"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_698"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_698"}] Chiral false false false
a(3_1 # 12a_699) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_699)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_699)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_699"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_699"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_699"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_699"}] Chiral false false false
a(3_1 # 12a_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_7"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_7"}] Chiral false false false
a(3_1 # 12a_70) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_70)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_70)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_70"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_70"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_70"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_70"}] Chiral false false false
a(3_1 # 12a_700) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_700)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_700)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_700"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_700"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_700"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_700"}] Chiral false false false
a(3_1 # 12a_701) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_701)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_701)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_701"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_701"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_701"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_701"}] Chiral false false false
a(3_1 # 12a_702) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_702)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_702)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_702"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_702"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_702"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_702"}] Chiral false false false
a(3_1 # 12a_703) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_703)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_703)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_703"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_703"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_703"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_703"}] Chiral false false false
a(3_1 # 12a_704) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_704)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_704)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_704"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_704"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_704"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_704"}] Chiral false false false
a(3_1 # 12a_705) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_705)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_705)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_705"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_705"}] Chiral true false false
a(3_1 # 12a_706) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_706)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_706)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_706"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_706"}] Chiral true false false
a(3_1 # 12a_707) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_707)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_707)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_707"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_707"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_707"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_707"}] Chiral false false false
a(3_1 # 12a_708) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_708)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_708)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_708"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_708"}] Chiral true false false
a(3_1 # 12a_709) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_709)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_709)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_709"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_709"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_709"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_709"}] Chiral false false false
a(3_1 # 12a_71) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_71)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_71)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_71"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_71"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_71"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_71"}] Chiral false false false
a(3_1 # 12a_710) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_710)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_710)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_710"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_710"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_710"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_710"}] Chiral false false false
a(3_1 # 12a_711) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_711)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_711)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_711"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_711"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_711"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_711"}] Chiral false false false
a(3_1 # 12a_712) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_712)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_712)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_712"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_712"}] Chiral true false false
a(3_1 # 12a_713) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_713)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_713)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_713"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_713"}] Chiral true false false
a(3_1 # 12a_714) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_714)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_714)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_714"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_714"}] Chiral true false false
a(3_1 # 12a_715) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_715)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_715)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_715"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_715"}] Chiral true false false
a(3_1 # 12a_716) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_716)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_716)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_716"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_716"}] Chiral true false false
a(3_1 # 12a_717) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_717)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_717)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_717"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_717"}] Chiral true false false
a(3_1 # 12a_718) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_718)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_718)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_718"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_718"}] Chiral true false false
a(3_1 # 12a_719) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_719)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_719)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_719"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_719"}] Chiral true false false
a(3_1 # 12a_72) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_72)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_72)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_72"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_72"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_72"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_72"}] Chiral false false false
a(3_1 # 12a_720) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_720)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_720)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_720"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_720"}] Chiral true false false
a(3_1 # 12a_721) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_721)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_721)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_721"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_721"}] Chiral true false false
a(3_1 # 12a_722) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_722)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_722)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_722"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_722"}] Chiral true false false
a(3_1 # 12a_723) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_723)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_723)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_723"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_723"}] 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"