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 # 4_1 # m9_9) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 4_1 # m9_9)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 4_1 # 9_9)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 4_1 # m9_9"}, {"dataset": "OrientedKnots", "key": "m3_1 # 4_1 # 9_9"}] Chiral true false false
a(3_1 # 4_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 4_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 4_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 4_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # 4_1"}] Chiral true false false
a(3_1 # 5_1 # 5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 5_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 5_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m5_1"}] Chiral true false false
a(3_1 # 5_1 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 5_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m5_2"}] Chiral true false false
a(3_1 # 5_1 # 6_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 6_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m6_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 6_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m6_1"}] Chiral true false false
a(3_1 # 5_1 # 6_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 6_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m6_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 6_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m6_2"}] Chiral true false false
a(3_1 # 5_1 # 6_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 6_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 6_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 6_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 6_3"}] Chiral true false false
a(3_1 # 5_1 # 7_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 7_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m7_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 7_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m7_1"}] Chiral true false false
a(3_1 # 5_1 # 7_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 7_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m7_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 7_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m7_2"}] Chiral true false false
a(3_1 # 5_1 # 7_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 7_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m7_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 7_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m7_3"}] Chiral true false false
a(3_1 # 5_1 # 7_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 7_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m7_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 7_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m7_4"}] Chiral true false false
a(3_1 # 5_1 # 7_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 7_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m7_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 7_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m7_5"}] Chiral true false false
a(3_1 # 5_1 # 7_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 7_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m7_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 7_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m7_6"}] Chiral true false false
a(3_1 # 5_1 # 7_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 7_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m7_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 7_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m7_7"}] Chiral true false false
a(3_1 # 5_1 # 8_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_1"}] Chiral true false false
a(3_1 # 5_1 # 8_10) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_10)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_10)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_10"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_10"}] Chiral true false false
a(3_1 # 5_1 # 8_11) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_11)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_11)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_11"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_11"}] Chiral true false false
a(3_1 # 5_1 # 8_12) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_12)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_12)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_12"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_12"}] Chiral true false false
a(3_1 # 5_1 # 8_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_13)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_13"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_13"}] Chiral true false false
a(3_1 # 5_1 # 8_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_14)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_14"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_14"}] Chiral true false false
a(3_1 # 5_1 # 8_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_15)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_15"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_15"}] Chiral true false false
a(3_1 # 5_1 # 8_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_16)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_16"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_16"}] Chiral true false false
a(3_1 # 5_1 # 8_17) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_17)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_17)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_17"}, {"dataset": "OrientedKnots", "key": "3_1 # 5_1 # r8_17"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_17"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # r8_17"}] Chiral false false false
a(3_1 # 5_1 # 8_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_18)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_18"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_18"}] Chiral true false false
a(3_1 # 5_1 # 8_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_19)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_19"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_19"}] Chiral true false false
a(3_1 # 5_1 # 8_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_2"}] Chiral true false false
a(3_1 # 5_1 # 8_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_20)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_20"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_20"}] Chiral true false false
a(3_1 # 5_1 # 8_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_21)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_21"}] Chiral true false false
a(3_1 # 5_1 # 8_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_3"}] Chiral true false false
a(3_1 # 5_1 # 8_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_4"}] Chiral true false false
a(3_1 # 5_1 # 8_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_5"}] Chiral true false false
a(3_1 # 5_1 # 8_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_6"}] Chiral true false false
a(3_1 # 5_1 # 8_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_7"}] Chiral true false false
a(3_1 # 5_1 # 8_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_8)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # m8_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_8"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # m8_8"}] Chiral true false false
a(3_1 # 5_1 # 8_9) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # 8_9)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_9)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # 8_9"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_9"}] Chiral true false false
a(3_1 # 5_1 # m5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m5_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 5_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m5_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # 5_1 # m5_1"}] Chiral true false false
a(3_1 # 5_1 # m5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m5_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 5_2 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m5_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # 5_2 # m5_1"}] Chiral true false false
a(3_1 # 5_1 # m6_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m6_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 6_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m6_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 6_1"}] Chiral true false false
a(3_1 # 5_1 # m6_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m6_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 6_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m6_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 6_2"}] Chiral true false false
a(3_1 # 5_1 # m7_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m7_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 7_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m7_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 7_1"}] Chiral true false false
a(3_1 # 5_1 # m7_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m7_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 7_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m7_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 7_2"}] Chiral true false false
a(3_1 # 5_1 # m7_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m7_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 7_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m7_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 7_3"}] Chiral true false false
a(3_1 # 5_1 # m7_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m7_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 7_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m7_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 7_4"}] Chiral true false false
a(3_1 # 5_1 # m7_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m7_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 7_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m7_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 7_5"}] Chiral true false false
a(3_1 # 5_1 # m7_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m7_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 7_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m7_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 7_6"}] Chiral true false false
a(3_1 # 5_1 # m7_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m7_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 7_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m7_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 7_7"}] Chiral true false false
a(3_1 # 5_1 # m8_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_1"}] Chiral true false false
a(3_1 # 5_1 # m8_10) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_10)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_10)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_10"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_10"}] Chiral true false false
a(3_1 # 5_1 # m8_11) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_11)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_11)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_11"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_11"}] Chiral true false false
a(3_1 # 5_1 # m8_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_13)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_13"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_13"}] Chiral true false false
a(3_1 # 5_1 # m8_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_14)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_14"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_14"}] Chiral true false false
a(3_1 # 5_1 # m8_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_15)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_15"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_15"}] Chiral true false false
a(3_1 # 5_1 # m8_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_16)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_16"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_16"}] Chiral true false false
a(3_1 # 5_1 # m8_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_19)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_19"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_19"}] Chiral true false false
a(3_1 # 5_1 # m8_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_2"}] Chiral true false false
a(3_1 # 5_1 # m8_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_20)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_20"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_20"}] Chiral true false false
a(3_1 # 5_1 # m8_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_21)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_21"}] Chiral true false false
a(3_1 # 5_1 # m8_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_4"}] Chiral true false false
a(3_1 # 5_1 # m8_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_5"}] Chiral true false false
a(3_1 # 5_1 # m8_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_6"}] Chiral true false false
a(3_1 # 5_1 # m8_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_7"}] Chiral true false false
a(3_1 # 5_1 # m8_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1 # m8_8)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1 # 8_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1 # m8_8"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1 # 8_8"}] Chiral true false false
a(3_1 # 5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_1"}] Chiral true false false
a(3_1 # 5_2 # 5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 5_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 5_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m5_2"}] Chiral true false false
a(3_1 # 5_2 # 6_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 6_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m6_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 6_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m6_1"}] Chiral true false false
a(3_1 # 5_2 # 6_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 6_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m6_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 6_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m6_2"}] Chiral true false false
a(3_1 # 5_2 # 6_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 6_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 6_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 6_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 6_3"}] Chiral true false false
a(3_1 # 5_2 # 7_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 7_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m7_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 7_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m7_1"}] Chiral true false false
a(3_1 # 5_2 # 7_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 7_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m7_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 7_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m7_2"}] Chiral true false false
a(3_1 # 5_2 # 7_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 7_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m7_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 7_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m7_3"}] Chiral true false false
a(3_1 # 5_2 # 7_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 7_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m7_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 7_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m7_4"}] Chiral true false false
a(3_1 # 5_2 # 7_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 7_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m7_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 7_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m7_5"}] Chiral true false false
a(3_1 # 5_2 # 7_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 7_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m7_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 7_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m7_6"}] Chiral true false false
a(3_1 # 5_2 # 7_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 7_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m7_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 7_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m7_7"}] Chiral true false false
a(3_1 # 5_2 # 8_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_1"}] Chiral true false false
a(3_1 # 5_2 # 8_10) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_10)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_10)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_10"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_10"}] Chiral true false false
a(3_1 # 5_2 # 8_11) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_11)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_11)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_11"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_11"}] Chiral true false false
a(3_1 # 5_2 # 8_12) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_12)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 8_12)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_12"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 8_12"}] Chiral true false false
a(3_1 # 5_2 # 8_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_13)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_13"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_13"}] Chiral true false false
a(3_1 # 5_2 # 8_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_14)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_14"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_14"}] Chiral true false false
a(3_1 # 5_2 # 8_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_15)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_15"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_15"}] Chiral true false false
a(3_1 # 5_2 # 8_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_16)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_16"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_16"}] Chiral true false false
a(3_1 # 5_2 # 8_17) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_17)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 8_17)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_17"}, {"dataset": "OrientedKnots", "key": "3_1 # 5_2 # r8_17"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 8_17"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # r8_17"}] Chiral false false false
a(3_1 # 5_2 # 8_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_18)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 8_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_18"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 8_18"}] Chiral true false false
a(3_1 # 5_2 # 8_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_19)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_19"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_19"}] Chiral true false false
a(3_1 # 5_2 # 8_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_2"}] Chiral true false false
a(3_1 # 5_2 # 8_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_20)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_20"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_20"}] Chiral true false false
a(3_1 # 5_2 # 8_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_21)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_21"}] Chiral true false false
a(3_1 # 5_2 # 8_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 8_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 8_3"}] Chiral true false false
a(3_1 # 5_2 # 8_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_4"}] Chiral true false false
a(3_1 # 5_2 # 8_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_5"}] Chiral true false false
a(3_1 # 5_2 # 8_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_6"}] Chiral true false false
a(3_1 # 5_2 # 8_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_7"}] Chiral true false false
a(3_1 # 5_2 # 8_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_8)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # m8_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_8"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # m8_8"}] Chiral true false false
a(3_1 # 5_2 # 8_9) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # 8_9)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 8_9)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # 8_9"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 8_9"}] Chiral true false false
a(3_1 # 5_2 # m5_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # m5_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 5_1 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # m5_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # 5_1 # m5_2"}] Chiral true false false
a(3_1 # 5_2 # m5_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # m5_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 5_2 # m5_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # m5_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # 5_2 # m5_2"}] Chiral true false false
a(3_1 # 5_2 # m6_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # m6_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 6_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # m6_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 6_1"}] Chiral true false false
a(3_1 # 5_2 # m6_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # m6_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 6_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # m6_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 6_2"}] Chiral true false false
a(3_1 # 5_2 # m7_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 5_2 # m7_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m5_2 # 7_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 5_2 # m7_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # m5_2 # 7_1"}] 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"