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_860) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_860)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_860)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_860"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_860"}] Chiral true false false
a(4_1 # 12n_861) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_861)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_861)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_861"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_861"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_861"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_861"}] Chiral false false false
a(4_1 # 12n_862) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_862)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_862)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_862"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_862"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_862"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_862"}] Chiral false false false
a(4_1 # 12n_863) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_863)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_863)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_863"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_863"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_863"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_863"}] Chiral false false false
a(4_1 # 12n_864) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_864)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_864)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_864"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_864"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_864"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_864"}] Chiral false false false
a(4_1 # 12n_865) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_865)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_865)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_865"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_865"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_865"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_865"}] Chiral false false false
a(4_1 # 12n_866) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_866)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_866)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_866"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_866"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_866"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_866"}] Chiral false false false
a(4_1 # 12n_867) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_867)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_867)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_867"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_867"}] Chiral true false false
a(4_1 # 12n_868) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_868)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_868)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_868"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_868"}] Chiral true false false
a(4_1 # 12n_869) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_869)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_869)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_869"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_869"}] Chiral true false false
a(4_1 # 12n_87) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_87)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_87)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_87"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_87"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_87"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_87"}] Chiral false false false
a(4_1 # 12n_870) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_870)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_870)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_870"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_870"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_870"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_870"}] Chiral false false false
a(4_1 # 12n_871) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_871)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_871)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_871"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_871"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_871"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_871"}] Chiral false false false
a(4_1 # 12n_872) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_872)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_872)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_872"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_872"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_872"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_872"}] Chiral false false false
a(4_1 # 12n_873) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_873)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_873"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_873"}] Negative amphichiral false false true
a(4_1 # 12n_874) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_874)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_874)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_874"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_874"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_874"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_874"}] Chiral false false false
a(4_1 # 12n_875) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_875)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_875)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_875"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_875"}] Chiral true false false
a(4_1 # 12n_876) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_876)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_876)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_876"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_876"}] Chiral true false false
a(4_1 # 12n_877) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_877)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_877)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_877"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_877"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_877"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_877"}] Chiral false false false
a(4_1 # 12n_878) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_878)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_878)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_878"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_878"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_878"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_878"}] Chiral false false false
a(4_1 # 12n_879) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_879)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_879)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_879"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_879"}] Chiral true false false
a(4_1 # 12n_88) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_88)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_88)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_88"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_88"}] Chiral true false false
a(4_1 # 12n_880) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_880)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_880)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_880"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_880"}] Chiral true false false
a(4_1 # 12n_881) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_881)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_881)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_881"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_881"}] Chiral true false false
a(4_1 # 12n_882) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_882)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_882)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_882"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_882"}] Chiral true false false
a(4_1 # 12n_883) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_883)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_883)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_883"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_883"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_883"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_883"}] Chiral false false false
a(4_1 # 12n_884) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_884)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_884)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_884"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_884"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_884"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_884"}] Chiral false false false
a(4_1 # 12n_885) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_885)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_885)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_885"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_885"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_885"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_885"}] Chiral false false false
a(4_1 # 12n_886) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_886)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_886)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_886"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_886"}] Chiral true false false
a(4_1 # 12n_887) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_887)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_887)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_887"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_887"}] Chiral true false false
a(4_1 # 12n_888) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_888)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_888)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_888"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_888"}] Chiral true false false
a(4_1 # 12n_89) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_89)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_89)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_89"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_89"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_89"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_89"}] Chiral false false false
a(4_1 # 12n_9) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_9)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_9)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_9"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_9"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_9"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_9"}] Chiral false false false
a(4_1 # 12n_90) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_90)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_90)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_90"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_90"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_90"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_90"}] Chiral false false false
a(4_1 # 12n_91) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_91)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_91)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_91"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_91"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_91"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_91"}] Chiral false false false
a(4_1 # 12n_92) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_92)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_92)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_92"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_92"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_92"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_92"}] Chiral false false false
a(4_1 # 12n_93) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_93)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_93)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_93"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_93"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_93"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_93"}] Chiral false false false
a(4_1 # 12n_94) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_94)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_94)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_94"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_94"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_94"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_94"}] Chiral false false false
a(4_1 # 12n_95) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_95)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_95)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_95"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_95"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_95"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_95"}] Chiral false false false
a(4_1 # 12n_96) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_96)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_96)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_96"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_96"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_96"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_96"}] Chiral false false false
a(4_1 # 12n_97) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_97)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_97)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_97"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_97"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_97"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_97"}] Chiral false false false
a(4_1 # 12n_98) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_98)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_98)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_98"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_98"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_98"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_98"}] Chiral false false false
a(4_1 # 12n_99) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_99)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_99)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_99"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_99"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_99"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_99"}] Chiral false false false
a(4_1 # 4_1 # 4_1 # 4_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 4_1 # 4_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 4_1 # 4_1"}] Fully amphichiral true true true
a(4_1 # 4_1 # 4_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 4_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 4_1"}] Fully amphichiral true true true
a(4_1 # 4_1 # 5_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 5_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 5_1"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m5_1"}] Chiral true false false
a(4_1 # 4_1 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 5_2"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m5_2"}] Chiral true false false
a(4_1 # 4_1 # 6_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 6_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m6_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 6_1"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m6_1"}] Chiral true false false
a(4_1 # 4_1 # 6_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 6_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m6_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 6_2"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m6_2"}] Chiral true false false
a(4_1 # 4_1 # 6_3) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 6_3)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 6_3"}] Fully amphichiral true true true
a(4_1 # 4_1 # 7_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 7_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m7_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 7_1"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m7_1"}] Chiral true false false
a(4_1 # 4_1 # 7_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 7_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m7_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 7_2"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m7_2"}] Chiral true false false
a(4_1 # 4_1 # 7_3) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 7_3)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m7_3)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 7_3"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m7_3"}] Chiral true false false
a(4_1 # 4_1 # 7_4) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 7_4)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m7_4)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 7_4"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m7_4"}] Chiral true false false
a(4_1 # 4_1 # 7_5) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 7_5)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m7_5)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 7_5"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m7_5"}] Chiral true false false
a(4_1 # 4_1 # 7_6) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 7_6)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m7_6)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 7_6"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m7_6"}] Chiral true false false
a(4_1 # 4_1 # 7_7) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 7_7)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m7_7)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 7_7"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m7_7"}] Chiral true false false
a(4_1 # 4_1 # 8_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_1"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_1"}] Chiral true false false
a(4_1 # 4_1 # 8_10) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_10)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_10)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_10"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_10"}] Chiral true false false
a(4_1 # 4_1 # 8_11) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_11)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_11)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_11"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_11"}] Chiral true false false
a(4_1 # 4_1 # 8_12) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_12)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_12"}] Fully amphichiral true true true
a(4_1 # 4_1 # 8_13) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_13)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_13)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_13"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_13"}] Chiral true false false
a(4_1 # 4_1 # 8_14) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_14)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_14)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_14"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_14"}] Chiral true false false
a(4_1 # 4_1 # 8_15) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_15)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_15)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_15"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_15"}] Chiral true false false
a(4_1 # 4_1 # 8_16) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_16)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_16)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_16"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_16"}] Chiral true false false
a(4_1 # 4_1 # 8_17) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_17)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_17"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # r8_17"}] Negative amphichiral false false true
a(4_1 # 4_1 # 8_18) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_18)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_18"}] Fully amphichiral true true true
a(4_1 # 4_1 # 8_19) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_19)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_19)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_19"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_19"}] Chiral true false false
a(4_1 # 4_1 # 8_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_2"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_2"}] Chiral true false false
a(4_1 # 4_1 # 8_20) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_20)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_20)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_20"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_20"}] Chiral true false false
a(4_1 # 4_1 # 8_21) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_21)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_21)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_21"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_21"}] Chiral true false false
a(4_1 # 4_1 # 8_3) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_3)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_3"}] Fully amphichiral true true true
a(4_1 # 4_1 # 8_4) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_4)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_4)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_4"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_4"}] Chiral true false false
a(4_1 # 4_1 # 8_5) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_5)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_5)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_5"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_5"}] Chiral true false false
a(4_1 # 4_1 # 8_6) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_6)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_6)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_6"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_6"}] Chiral true false false
a(4_1 # 4_1 # 8_7) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_7)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_7)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_7"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_7"}] Chiral true false false
a(4_1 # 4_1 # 8_8) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_8)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # m8_8)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_8"}, {"dataset": "OrientedKnots", "key": "4_1 # 4_1 # m8_8"}] Chiral true false false
a(4_1 # 4_1 # 8_9) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1 # 8_9)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1 # 8_9"}] Fully amphichiral true true true
a(4_1 # 4_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 4_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 4_1"}] Fully amphichiral true true true
a(4_1 # 5_1 # 5_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 5_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 5_1"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m5_1"}] Chiral true false false
a(4_1 # 5_1 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 5_2"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m5_2"}] Chiral true false false
a(4_1 # 5_1 # 6_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 6_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m6_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 6_1"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m6_1"}] Chiral true false false
a(4_1 # 5_1 # 6_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 6_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m6_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 6_2"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m6_2"}] Chiral true false false
a(4_1 # 5_1 # 6_3) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 6_3)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 6_3)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 6_3"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 6_3"}] Chiral true false false
a(4_1 # 5_1 # 7_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 7_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m7_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 7_1"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m7_1"}] Chiral true false false
a(4_1 # 5_1 # 7_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 7_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m7_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 7_2"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m7_2"}] Chiral true false false
a(4_1 # 5_1 # 7_3) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 7_3)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m7_3)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 7_3"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m7_3"}] Chiral true false false
a(4_1 # 5_1 # 7_4) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 7_4)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m7_4)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 7_4"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m7_4"}] Chiral true false false
a(4_1 # 5_1 # 7_5) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 7_5)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m7_5)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 7_5"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m7_5"}] Chiral true false false
a(4_1 # 5_1 # 7_6) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 7_6)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m7_6)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 7_6"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m7_6"}] Chiral true false false
a(4_1 # 5_1 # 7_7) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # 7_7)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # m7_7)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # 7_7"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # m7_7"}] Chiral true false false
a(4_1 # 5_1 # m5_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m5_1"}] Fully amphichiral true true true
a(4_1 # 5_1 # m5_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m5_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # 5_2 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m5_2"}, {"dataset": "OrientedKnots", "key": "4_1 # 5_2 # m5_1"}] Chiral true false false
a(4_1 # 5_1 # m6_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m6_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 6_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m6_1"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 6_1"}] Chiral true false false
a(4_1 # 5_1 # m6_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m6_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 6_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m6_2"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 6_2"}] Chiral true false false
a(4_1 # 5_1 # m7_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m7_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 7_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m7_1"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 7_1"}] Chiral true false false
a(4_1 # 5_1 # m7_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m7_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 7_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m7_2"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 7_2"}] Chiral true false false
a(4_1 # 5_1 # m7_3) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m7_3)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 7_3)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m7_3"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 7_3"}] Chiral true false false
a(4_1 # 5_1 # m7_4) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m7_4)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 7_4)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m7_4"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 7_4"}] Chiral true false false
a(4_1 # 5_1 # m7_5) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 5_1 # m7_5)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m5_1 # 7_5)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 5_1 # m7_5"}, {"dataset": "OrientedKnots", "key": "4_1 # m5_1 # 7_5"}] 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"