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 # m8_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m8_8)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 8_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m8_8"}, {"dataset": "OrientedKnots", "key": "m3_1 # 8_8"}] Chiral true false false
a(3_1 # m9_1) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_1)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_1)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_1"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_1"}] Chiral true false false
a(3_1 # m9_10) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_10)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_10)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_10"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_10"}] Chiral true false false
a(3_1 # m9_11) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_11)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_11)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_11"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_11"}] Chiral true false false
a(3_1 # m9_12) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_12)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_12)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_12"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_12"}] Chiral true false false
a(3_1 # m9_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_13)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_13"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_13"}] Chiral true false false
a(3_1 # m9_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_14)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_14"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_14"}] Chiral true false false
a(3_1 # m9_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_15)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_15"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_15"}] Chiral true false false
a(3_1 # m9_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_16)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_16"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_16"}] Chiral true false false
a(3_1 # m9_17) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_17)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_17)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_17"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_17"}] Chiral true false false
a(3_1 # m9_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_18)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_18"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_18"}] Chiral true false false
a(3_1 # m9_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_19)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_19"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_19"}] Chiral true false false
a(3_1 # m9_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_2"}] Chiral true false false
a(3_1 # m9_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_20)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_20"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_20"}] Chiral true false false
a(3_1 # m9_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_21)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_21"}] Chiral true false false
a(3_1 # m9_22) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_22)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_22)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_22"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_22"}] Chiral true false false
a(3_1 # m9_23) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_23)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_23)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_23"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_23"}] Chiral true false false
a(3_1 # m9_24) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_24)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_24)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_24"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_24"}] Chiral true false false
a(3_1 # m9_25) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_25)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_25)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_25"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_25"}] Chiral true false false
a(3_1 # m9_26) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_26)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_26)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_26"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_26"}] Chiral true false false
a(3_1 # m9_27) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_27)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_27)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_27"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_27"}] Chiral true false false
a(3_1 # m9_28) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_28)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_28)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_28"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_28"}] Chiral true false false
a(3_1 # m9_29) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_29)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_29)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_29"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_29"}] Chiral true false false
a(3_1 # m9_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_3"}] Chiral true false false
a(3_1 # m9_30) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_30)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_30)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_30"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_30"}] Chiral true false false
a(3_1 # m9_31) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_31)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_31)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_31"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_31"}] Chiral true false false
a(3_1 # m9_32) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_32)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_32)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_32"}, {"dataset": "OrientedKnots", "key": "3_1 # mr9_32"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_32"}, {"dataset": "OrientedKnots", "key": "m3_1 # r9_32"}] Chiral false false false
a(3_1 # m9_33) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_33)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_33)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_33"}, {"dataset": "OrientedKnots", "key": "3_1 # mr9_33"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_33"}, {"dataset": "OrientedKnots", "key": "m3_1 # r9_33"}] Chiral false false false
a(3_1 # m9_34) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_34)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_34)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_34"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_34"}] Chiral true false false
a(3_1 # m9_35) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_35)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_35)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_35"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_35"}] Chiral true false false
a(3_1 # m9_36) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_36)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_36)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_36"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_36"}] Chiral true false false
a(3_1 # m9_37) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_37)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_37)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_37"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_37"}] Chiral true false false
a(3_1 # m9_38) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_38)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_38)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_38"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_38"}] Chiral true false false
a(3_1 # m9_39) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_39)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_39)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_39"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_39"}] Chiral true false false
a(3_1 # m9_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_4"}] Chiral true false false
a(3_1 # m9_40) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_40)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_40)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_40"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_40"}] Chiral true false false
a(3_1 # m9_41) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_41)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_41)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_41"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_41"}] Chiral true false false
a(3_1 # m9_42) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_42)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_42)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_42"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_42"}] Chiral true false false
a(3_1 # m9_43) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_43)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_43)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_43"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_43"}] Chiral true false false
a(3_1 # m9_44) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_44)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_44)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_44"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_44"}] Chiral true false false
a(3_1 # m9_45) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_45)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_45)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_45"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_45"}] Chiral true false false
a(3_1 # m9_46) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_46)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_46)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_46"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_46"}] Chiral true false false
a(3_1 # m9_47) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_47)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_47)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_47"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_47"}] Chiral true false false
a(3_1 # m9_48) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_48)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_48)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_48"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_48"}] Chiral true false false
a(3_1 # m9_49) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_49)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_49)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_49"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_49"}] Chiral true false false
a(3_1 # m9_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_5"}] Chiral true false false
a(3_1 # m9_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_6"}] Chiral true false false
a(3_1 # m9_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_7"}] Chiral true false false
a(3_1 # m9_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_8)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_8"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_8"}] Chiral true false false
a(3_1 # m9_9) [{"dataset": "UnorientedKnots", "key": "u(3_1 # m9_9)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 9_9)"}] [{"dataset": "OrientedKnots", "key": "3_1 # m9_9"}, {"dataset": "OrientedKnots", "key": "m3_1 # 9_9"}] Chiral true false false
a(4_1 # 10_1) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_1)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_1)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_1"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_1"}] Chiral true false false
a(4_1 # 10_10) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_10)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_10)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_10"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_10"}] Chiral true false false
a(4_1 # 10_100) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_100)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_100)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_100"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_100"}] Chiral true false false
a(4_1 # 10_101) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_101)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_101)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_101"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_101"}] Chiral true false false
a(4_1 # 10_102) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_102)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_102)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_102"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_102"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_102"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_102"}] Chiral false false false
a(4_1 # 10_103) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_103)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_103)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_103"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_103"}] Chiral true false false
a(4_1 # 10_104) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_104)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_104)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_104"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_104"}] Chiral true false false
a(4_1 # 10_105) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_105)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_105)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_105"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_105"}] Chiral true false false
a(4_1 # 10_106) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_106)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_106)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_106"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_106"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_106"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_106"}] Chiral false false false
a(4_1 # 10_107) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_107)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_107)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_107"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_107"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_107"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_107"}] Chiral false false false
a(4_1 # 10_108) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_108)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_108)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_108"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_108"}] Chiral true false false
a(4_1 # 10_109) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_109)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_109"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_109"}] Negative amphichiral false false true
a(4_1 # 10_11) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_11)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_11)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_11"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_11"}] Chiral true false false
a(4_1 # 10_110) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_110)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_110)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_110"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_110"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_110"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_110"}] Chiral false false false
a(4_1 # 10_111) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_111)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_111)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_111"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_111"}] Chiral true false false
a(4_1 # 10_112) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_112)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_112)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_112"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_112"}] Chiral true false false
a(4_1 # 10_113) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_113)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_113)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_113"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_113"}] Chiral true false false
a(4_1 # 10_114) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_114)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_114)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_114"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_114"}] Chiral true false false
a(4_1 # 10_115) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_115)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_115"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_115"}] Negative amphichiral false false true
a(4_1 # 10_116) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_116)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_116)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_116"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_116"}] Chiral true false false
a(4_1 # 10_117) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_117)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_117)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_117"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_117"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_117"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_117"}] Chiral false false false
a(4_1 # 10_118) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_118)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_118"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_118"}] Negative amphichiral false false true
a(4_1 # 10_119) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_119)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_119)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_119"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_119"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_119"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_119"}] Chiral false false false
a(4_1 # 10_12) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_12)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_12)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_12"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_12"}] Chiral true false false
a(4_1 # 10_120) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_120)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_120)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_120"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_120"}] Chiral true false false
a(4_1 # 10_121) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_121)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_121)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_121"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_121"}] Chiral true false false
a(4_1 # 10_122) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_122)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_122)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_122"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_122"}] Chiral true false false
a(4_1 # 10_123) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_123)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_123"}] Fully amphichiral true true true
a(4_1 # 10_124) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_124)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_124)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_124"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_124"}] Chiral true false false
a(4_1 # 10_125) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_125)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_125)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_125"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_125"}] Chiral true false false
a(4_1 # 10_126) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_126)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_126)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_126"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_126"}] Chiral true false false
a(4_1 # 10_127) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_127)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_127)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_127"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_127"}] Chiral true false false
a(4_1 # 10_128) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_128)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_128)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_128"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_128"}] Chiral true false false
a(4_1 # 10_129) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_129)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_129)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_129"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_129"}] Chiral true false false
a(4_1 # 10_13) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_13)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_13)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_13"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_13"}] Chiral true false false
a(4_1 # 10_130) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_130)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_130)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_130"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_130"}] Chiral true false false
a(4_1 # 10_131) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_131)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_131)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_131"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_131"}] Chiral true false false
a(4_1 # 10_132) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_132)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_132)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_132"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_132"}] Chiral true false false
a(4_1 # 10_133) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_133)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_133)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_133"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_133"}] Chiral true false false
a(4_1 # 10_134) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_134)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_134)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_134"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_134"}] Chiral true false false
a(4_1 # 10_135) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_135)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_135)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_135"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_135"}] Chiral true false false
a(4_1 # 10_136) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_136)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_136)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_136"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_136"}] Chiral true false false
a(4_1 # 10_137) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_137)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_137)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_137"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_137"}] Chiral true false false
a(4_1 # 10_138) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_138)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_138)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_138"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_138"}] Chiral true false false
a(4_1 # 10_139) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_139)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_139)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_139"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_139"}] Chiral true false false
a(4_1 # 10_14) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_14)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_14)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_14"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_14"}] Chiral true false false
a(4_1 # 10_140) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_140)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_140)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_140"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_140"}] Chiral true false false
a(4_1 # 10_141) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_141)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_141)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_141"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_141"}] Chiral true false false
a(4_1 # 10_142) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_142)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_142)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_142"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_142"}] Chiral true false false
a(4_1 # 10_143) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_143)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_143)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_143"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_143"}] 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"