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 # 12n_815) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_815)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_815)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_815"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_815"}] Chiral true false false
a(3_1 # 12n_816) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_816)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_816)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_816"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_816"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_816"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_816"}] Chiral false false false
a(3_1 # 12n_817) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_817)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_817)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_817"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_817"}] Chiral true false false
a(3_1 # 12n_818) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_818)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_818)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_818"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_818"}] Chiral true false false
a(3_1 # 12n_819) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_819)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_819)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_819"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_819"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_819"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_819"}] Chiral false false false
a(3_1 # 12n_82) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_82)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_82)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_82"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_82"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_82"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_82"}] Chiral false false false
a(3_1 # 12n_820) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_820)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_820)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_820"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_820"}] Chiral true false false
a(3_1 # 12n_821) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_821)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_821)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_821"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_821"}] Chiral true false false
a(3_1 # 12n_822) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_822)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_822)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_822"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_822"}] Chiral true false false
a(3_1 # 12n_823) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_823)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_823)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_823"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_823"}] Chiral true false false
a(3_1 # 12n_824) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_824)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_824)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_824"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_824"}] Chiral true false false
a(3_1 # 12n_825) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_825)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_825)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_825"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_825"}] Chiral true false false
a(3_1 # 12n_826) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_826)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_826)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_826"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_826"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_826"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_826"}] Chiral false false false
a(3_1 # 12n_827) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_827)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_827)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_827"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_827"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_827"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_827"}] Chiral false false false
a(3_1 # 12n_828) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_828)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_828)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_828"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_828"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_828"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_828"}] Chiral false false false
a(3_1 # 12n_829) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_829)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_829)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_829"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_829"}] Chiral true false false
a(3_1 # 12n_83) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_83)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_83)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_83"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_83"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_83"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_83"}] Chiral false false false
a(3_1 # 12n_830) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_830)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_830)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_830"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_830"}] Chiral true false false
a(3_1 # 12n_831) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_831)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_831)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_831"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_831"}] Chiral true false false
a(3_1 # 12n_832) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_832)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_832)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_832"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_832"}] Chiral true false false
a(3_1 # 12n_833) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_833)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_833)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_833"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_833"}] Chiral true false false
a(3_1 # 12n_834) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_834)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_834)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_834"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_834"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_834"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_834"}] Chiral false false false
a(3_1 # 12n_835) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_835)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_835)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_835"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_835"}] Chiral true false false
a(3_1 # 12n_836) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_836)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_836)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_836"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_836"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_836"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_836"}] Chiral false false false
a(3_1 # 12n_837) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_837)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_837)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_837"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_837"}] Chiral true false false
a(3_1 # 12n_838) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_838)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_838)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_838"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_838"}] Chiral true false false
a(3_1 # 12n_839) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_839)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_839)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_839"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_839"}] Chiral true false false
a(3_1 # 12n_84) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_84)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_84)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_84"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_84"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_84"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_84"}] Chiral false false false
a(3_1 # 12n_840) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_840)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_840)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_840"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_840"}] Chiral true false false
a(3_1 # 12n_841) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_841)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_841)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_841"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_841"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_841"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_841"}] Chiral false false false
a(3_1 # 12n_842) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_842)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_842)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_842"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_842"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_842"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_842"}] Chiral false false false
a(3_1 # 12n_843) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_843)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_843)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_843"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_843"}] Chiral true false false
a(3_1 # 12n_844) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_844)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_844)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_844"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_844"}] Chiral true false false
a(3_1 # 12n_845) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_845)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_845)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_845"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_845"}] Chiral true false false
a(3_1 # 12n_846) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_846)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_846)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_846"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_846"}] Chiral true false false
a(3_1 # 12n_847) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_847)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_847)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_847"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_847"}] Chiral true false false
a(3_1 # 12n_848) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_848)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_848)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_848"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_848"}] Chiral true false false
a(3_1 # 12n_849) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_849)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_849)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_849"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_849"}] Chiral true false false
a(3_1 # 12n_85) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_85)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_85)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_85"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_85"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_85"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_85"}] Chiral false false false
a(3_1 # 12n_850) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_850)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_850)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_850"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_850"}] Chiral true false false
a(3_1 # 12n_851) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_851)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_851)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_851"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_851"}] Chiral true false false
a(3_1 # 12n_852) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_852)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_852)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_852"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_852"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_852"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_852"}] Chiral false false false
a(3_1 # 12n_853) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_853)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_853)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_853"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_853"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_853"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_853"}] Chiral false false false
a(3_1 # 12n_854) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_854)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_854)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_854"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_854"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_854"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_854"}] Chiral false false false
a(3_1 # 12n_855) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_855)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_855)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_855"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_855"}] Chiral true false false
a(3_1 # 12n_856) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_856)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_856)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_856"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_856"}] Chiral true false false
a(3_1 # 12n_857) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_857)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_857)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_857"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_857"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_857"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_857"}] Chiral false false false
a(3_1 # 12n_858) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_858)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_858)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_858"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_858"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_858"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_858"}] Chiral false false false
a(3_1 # 12n_859) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_859)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_859)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_859"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_859"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_859"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_859"}] Chiral false false false
a(3_1 # 12n_86) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_86)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_86)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_86"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_86"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_86"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_86"}] Chiral false false false
a(3_1 # 12n_860) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_860)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_860)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_860"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_860"}] Chiral true false false
a(3_1 # 12n_861) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_861)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_861)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_861"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_861"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_861"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_861"}] Chiral false false false
a(3_1 # 12n_862) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_862)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_862)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_862"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_862"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_862"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_862"}] Chiral false false false
a(3_1 # 12n_863) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_863)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_863)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_863"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_863"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_863"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_863"}] Chiral false false false
a(3_1 # 12n_864) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_864)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_864)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_864"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_864"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_864"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_864"}] Chiral false false false
a(3_1 # 12n_865) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_865)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_865)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_865"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_865"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_865"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_865"}] Chiral false false false
a(3_1 # 12n_866) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_866)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_866)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_866"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_866"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_866"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_866"}] Chiral false false false
a(3_1 # 12n_867) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_867)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_867)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_867"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_867"}] Chiral true false false
a(3_1 # 12n_868) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_868)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_868)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_868"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_868"}] Chiral true false false
a(3_1 # 12n_869) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_869)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_869)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_869"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_869"}] Chiral true false false
a(3_1 # 12n_87) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_87)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_87)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_87"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_87"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_87"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_87"}] Chiral false false false
a(3_1 # 12n_870) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_870)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_870)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_870"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_870"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_870"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_870"}] Chiral false false false
a(3_1 # 12n_871) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_871)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_871)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_871"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_871"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_871"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_871"}] Chiral false false false
a(3_1 # 12n_872) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_872)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_872)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_872"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_872"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_872"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_872"}] Chiral false false false
a(3_1 # 12n_873) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_873)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12n_873)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_873"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_873"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12n_873"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12n_873"}] Chiral false false false
a(3_1 # 12n_874) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_874)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_874)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_874"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_874"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_874"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_874"}] Chiral false false false
a(3_1 # 12n_875) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_875)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_875)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_875"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_875"}] Chiral true false false
a(3_1 # 12n_876) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_876)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_876)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_876"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_876"}] Chiral true false false
a(3_1 # 12n_877) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_877)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_877)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_877"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_877"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_877"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_877"}] Chiral false false false
a(3_1 # 12n_878) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_878)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_878)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_878"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_878"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_878"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_878"}] Chiral false false false
a(3_1 # 12n_879) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_879)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_879)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_879"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_879"}] Chiral true false false
a(3_1 # 12n_88) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_88)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_88)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_88"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_88"}] Chiral true false false
a(3_1 # 12n_880) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_880)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_880)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_880"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_880"}] Chiral true false false
a(3_1 # 12n_881) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_881)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_881)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_881"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_881"}] Chiral true false false
a(3_1 # 12n_882) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_882)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_882)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_882"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_882"}] Chiral true false false
a(3_1 # 12n_883) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_883)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_883)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_883"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_883"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_883"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_883"}] Chiral false false false
a(3_1 # 12n_884) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_884)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_884)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_884"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_884"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_884"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_884"}] Chiral false false false
a(3_1 # 12n_885) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_885)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_885)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_885"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_885"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_885"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_885"}] Chiral false false false
a(3_1 # 12n_886) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_886)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_886)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_886"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_886"}] Chiral true false false
a(3_1 # 12n_887) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_887)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_887)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_887"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_887"}] Chiral true false false
a(3_1 # 12n_888) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_888)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_888)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_888"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_888"}] Chiral true false false
a(3_1 # 12n_89) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_89)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_89)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_89"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_89"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_89"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_89"}] Chiral false false false
a(3_1 # 12n_9) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_9)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_9)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_9"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_9"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_9"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_9"}] Chiral false false false
a(3_1 # 12n_90) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_90)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_90)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_90"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_90"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_90"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_90"}] Chiral false false false
a(3_1 # 12n_91) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_91)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_91)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_91"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_91"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_91"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_91"}] Chiral false false false
a(3_1 # 12n_92) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_92)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_92)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_92"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_92"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_92"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_92"}] Chiral false false false
a(3_1 # 12n_93) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_93)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_93)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_93"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_93"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_93"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_93"}] Chiral false false false
a(3_1 # 12n_94) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_94)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_94)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_94"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_94"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_94"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_94"}] Chiral false false false
a(3_1 # 12n_95) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_95)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_95)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_95"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_95"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_95"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_95"}] Chiral false false false
a(3_1 # 12n_96) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_96)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_96)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_96"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_96"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_96"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_96"}] Chiral false false false
a(3_1 # 12n_97) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_97)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_97)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_97"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_97"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_97"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_97"}] Chiral false false false
a(3_1 # 12n_98) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_98)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_98)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_98"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_98"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_98"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_98"}] Chiral false false false
a(3_1 # 12n_99) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12n_99)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12n_99)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12n_99"}, {"dataset": "OrientedKnots", "key": "3_1 # r12n_99"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12n_99"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12n_99"}] Chiral false false false
a(3_1 # 13a_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_1"}] Chiral true false false
a(3_1 # 13a_10) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_10)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_10)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_10"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_10"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_10"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_10"}] Chiral false false false
a(3_1 # 13a_100) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_100)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_100)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_100"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_100"}] Chiral true false false
a(3_1 # 13a_1000) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_1000)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_1000)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_1000"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_1000"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_1000"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_1000"}] Chiral false false false
a(3_1 # 13a_1001) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_1001)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_1001)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_1001"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_1001"}] Chiral true false false
a(3_1 # 13a_1002) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_1002)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_1002)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_1002"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_1002"}] Chiral true false false
a(3_1 # 13a_1003) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_1003)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_1003)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_1003"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_1003"}] 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"