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 # m3_1 # 10_70) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_70)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_70)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_70"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_70"}] Chiral true false false
a(3_1 # m3_1 # 10_71) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_71)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_71)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_71"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_71"}] Chiral true false false
a(3_1 # m3_1 # 10_72) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_72)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_72)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_72"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_72"}] Chiral true false false
a(3_1 # m3_1 # 10_73) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_73)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_73)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_73"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_73"}] Chiral true false false
a(3_1 # m3_1 # 10_74) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_74)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_74)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_74"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_74"}] Chiral true false false
a(3_1 # m3_1 # 10_75) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_75)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_75)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_75"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_75"}] Chiral true false false
a(3_1 # m3_1 # 10_76) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_76)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_76)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_76"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_76"}] Chiral true false false
a(3_1 # m3_1 # 10_77) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_77)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_77)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_77"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_77"}] Chiral true false false
a(3_1 # m3_1 # 10_78) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_78)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_78)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_78"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_78"}] Chiral true false false
a(3_1 # m3_1 # 10_79) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_79)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_79"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_79"}] Negative amphichiral false false true
a(3_1 # m3_1 # 10_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_8)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_8"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_8"}] Chiral true false false
a(3_1 # m3_1 # 10_80) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_80)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_80)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_80"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_80"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_80"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_80"}] Chiral false false false
a(3_1 # m3_1 # 10_81) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_81)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_81"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_81"}] Negative amphichiral false false true
a(3_1 # m3_1 # 10_82) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_82)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_82)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_82"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_82"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_82"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_82"}] Chiral false false false
a(3_1 # m3_1 # 10_83) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_83)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_83)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_83"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_83"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_83"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_83"}] Chiral false false false
a(3_1 # m3_1 # 10_84) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_84)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_84)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_84"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_84"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_84"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_84"}] Chiral false false false
a(3_1 # m3_1 # 10_85) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_85)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_85)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_85"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_85"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_85"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_85"}] Chiral false false false
a(3_1 # m3_1 # 10_86) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_86)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_86)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_86"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_86"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_86"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_86"}] Chiral false false false
a(3_1 # m3_1 # 10_87) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_87)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_87)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_87"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_87"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_87"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_87"}] Chiral false false false
a(3_1 # m3_1 # 10_88) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_88)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_88"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_88"}] Negative amphichiral false false true
a(3_1 # m3_1 # 10_89) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_89)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_89)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_89"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_89"}] Chiral true false false
a(3_1 # m3_1 # 10_9) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_9)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_9)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_9"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_9"}] Chiral true false false
a(3_1 # m3_1 # 10_90) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_90)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_90)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_90"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_90"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_90"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_90"}] Chiral false false false
a(3_1 # m3_1 # 10_91) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_91)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_91)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_91"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_91"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_91"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_91"}] Chiral false false false
a(3_1 # m3_1 # 10_92) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_92)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_92)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_92"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_92"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_92"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_92"}] Chiral false false false
a(3_1 # m3_1 # 10_93) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_93)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_93)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_93"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_93"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_93"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_93"}] Chiral false false false
a(3_1 # m3_1 # 10_94) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_94)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_94)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_94"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_94"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_94"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_94"}] Chiral false false false
a(3_1 # m3_1 # 10_95) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_95)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_95)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_95"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_95"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_95"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_95"}] Chiral false false false
a(3_1 # m3_1 # 10_96) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_96)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_96)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_96"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_96"}] Chiral true false false
a(3_1 # m3_1 # 10_97) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_97)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_97)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_97"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_97"}] Chiral true false false
a(3_1 # m3_1 # 10_98) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_98)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m10_98)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_98"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m10_98"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # mr10_98"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r10_98"}] Chiral false false false
a(3_1 # m3_1 # 10_99) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 10_99)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 10_99"}] Fully amphichiral true true true
a(3_1 # m3_1 # 4_1 # 4_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # 4_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # 4_1"}] Fully amphichiral true true true
a(3_1 # m3_1 # 4_1 # 5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # 5_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # 5_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # m5_1"}] Chiral true false false
a(3_1 # m3_1 # 4_1 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # 5_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # m5_2"}] Chiral true false false
a(3_1 # m3_1 # 4_1 # 6_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # 6_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # m6_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # 6_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # m6_1"}] Chiral true false false
a(3_1 # m3_1 # 4_1 # 6_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # 6_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # m6_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # 6_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # m6_2"}] Chiral true false false
a(3_1 # m3_1 # 4_1 # 6_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1 # 6_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1 # 6_3"}] Fully amphichiral true true true
a(3_1 # m3_1 # 4_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 4_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 4_1"}] Fully amphichiral true true true
a(3_1 # m3_1 # 5_1 # 5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_1 # 5_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m5_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_1 # 5_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m5_1 # m5_1"}] Chiral true false false
a(3_1 # m3_1 # 5_1 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_1 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m5_1 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_1 # 5_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m5_1 # m5_2"}] Chiral true false false
a(3_1 # m3_1 # 5_1 # m5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_1 # m5_1"}] Fully amphichiral true true true
a(3_1 # m3_1 # 5_1 # m5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_1 # m5_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_2 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_1 # m5_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_2 # m5_1"}] Chiral true false false
a(3_1 # m3_1 # 5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m5_1"}] Chiral true false false
a(3_1 # m3_1 # 5_2 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_2 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m5_2 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_2 # 5_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m5_2 # m5_2"}] Chiral true false false
a(3_1 # m3_1 # 5_2 # m5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_2 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_2 # m5_2"}] Fully amphichiral true true true
a(3_1 # m3_1 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 5_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m5_2"}] Chiral true false false
a(3_1 # m3_1 # 6_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 6_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m6_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 6_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m6_1"}] Chiral true false false
a(3_1 # m3_1 # 6_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 6_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m6_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 6_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m6_2"}] Chiral true false false
a(3_1 # m3_1 # 6_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 6_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 6_3"}] Fully amphichiral true true true
a(3_1 # m3_1 # 7_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 7_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m7_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 7_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m7_1"}] Chiral true false false
a(3_1 # m3_1 # 7_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 7_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m7_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 7_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m7_2"}] Chiral true false false
a(3_1 # m3_1 # 7_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 7_3)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m7_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 7_3"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m7_3"}] Chiral true false false
a(3_1 # m3_1 # 7_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 7_4)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m7_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 7_4"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m7_4"}] Chiral true false false
a(3_1 # m3_1 # 7_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 7_5)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m7_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 7_5"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m7_5"}] Chiral true false false
a(3_1 # m3_1 # 7_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 7_6)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m7_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 7_6"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m7_6"}] Chiral true false false
a(3_1 # m3_1 # 7_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 7_7)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m7_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 7_7"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m7_7"}] Chiral true false false
a(3_1 # m3_1 # 8_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_1"}] Chiral true false false
a(3_1 # m3_1 # 8_10) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_10)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_10)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_10"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_10"}] Chiral true false false
a(3_1 # m3_1 # 8_11) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_11)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_11)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_11"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_11"}] Chiral true false false
a(3_1 # m3_1 # 8_12) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_12)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_12"}] Fully amphichiral true true true
a(3_1 # m3_1 # 8_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_13)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_13"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_13"}] Chiral true false false
a(3_1 # m3_1 # 8_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_14)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_14"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_14"}] Chiral true false false
a(3_1 # m3_1 # 8_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_15)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_15"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_15"}] Chiral true false false
a(3_1 # m3_1 # 8_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_16)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_16"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_16"}] Chiral true false false
a(3_1 # m3_1 # 8_17) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_17)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_17"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # r8_17"}] Negative amphichiral false false true
a(3_1 # m3_1 # 8_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_18"}] Fully amphichiral true true true
a(3_1 # m3_1 # 8_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_19)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_19"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_19"}] Chiral true false false
a(3_1 # m3_1 # 8_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_2"}] Chiral true false false
a(3_1 # m3_1 # 8_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_20)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_20"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_20"}] Chiral true false false
a(3_1 # m3_1 # 8_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_21)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_21"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_21"}] Chiral true false false
a(3_1 # m3_1 # 8_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_3"}] Fully amphichiral true true true
a(3_1 # m3_1 # 8_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_4)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_4"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_4"}] Chiral true false false
a(3_1 # m3_1 # 8_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_5)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_5"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_5"}] Chiral true false false
a(3_1 # m3_1 # 8_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_6)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_6"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_6"}] Chiral true false false
a(3_1 # m3_1 # 8_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_7)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_7"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_7"}] Chiral true false false
a(3_1 # m3_1 # 8_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_8)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m8_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_8"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m8_8"}] Chiral true false false
a(3_1 # m3_1 # 8_9) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 8_9)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 8_9"}] Fully amphichiral true true true
a(3_1 # m3_1 # 9_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_1)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_1"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_1"}] Chiral true false false
a(3_1 # m3_1 # 9_10) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_10)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_10)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_10"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_10"}] Chiral true false false
a(3_1 # m3_1 # 9_11) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_11)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_11)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_11"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_11"}] Chiral true false false
a(3_1 # m3_1 # 9_12) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_12)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_12)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_12"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_12"}] Chiral true false false
a(3_1 # m3_1 # 9_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_13)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_13"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_13"}] Chiral true false false
a(3_1 # m3_1 # 9_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_14)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_14"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_14"}] Chiral true false false
a(3_1 # m3_1 # 9_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_15)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_15"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_15"}] Chiral true false false
a(3_1 # m3_1 # 9_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_16)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_16"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_16"}] Chiral true false false
a(3_1 # m3_1 # 9_17) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_17)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_17)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_17"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_17"}] Chiral true false false
a(3_1 # m3_1 # 9_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_18)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_18"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_18"}] Chiral true false false
a(3_1 # m3_1 # 9_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_19)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_19"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_19"}] Chiral true false false
a(3_1 # m3_1 # 9_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_2)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_2"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_2"}] Chiral true false false
a(3_1 # m3_1 # 9_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_20)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_20"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_20"}] Chiral true false false
a(3_1 # m3_1 # 9_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_21)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_21"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_21"}] Chiral true false false
a(3_1 # m3_1 # 9_22) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_22)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_22)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_22"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_22"}] Chiral true false false
a(3_1 # m3_1 # 9_23) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_23)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_23)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_23"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_23"}] Chiral true false false
a(3_1 # m3_1 # 9_24) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_24)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_24)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_24"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_24"}] Chiral true false false
a(3_1 # m3_1 # 9_25) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_25)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_25)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_25"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_25"}] Chiral true false false
a(3_1 # m3_1 # 9_26) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_26)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_26)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_26"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_26"}] Chiral true false false
a(3_1 # m3_1 # 9_27) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_27)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_27)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_27"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_27"}] Chiral true false false
a(3_1 # m3_1 # 9_28) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_28)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_28)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_28"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_28"}] Chiral true false false
a(3_1 # m3_1 # 9_29) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # 9_29)"}, {"dataset": "UnorientedKnots", "key": "u(3_1 # m3_1 # m9_29)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m3_1 # 9_29"}, {"dataset": "OrientedKnots", "key": "3_1 # m3_1 # m9_29"}] 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"