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 # 10_144) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_144)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_144)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_144"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_144"}] Chiral true false false
a(4_1 # 10_145) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_145)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_145)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_145"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_145"}] Chiral true false false
a(4_1 # 10_146) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_146)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_146)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_146"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_146"}] Chiral true false false
a(4_1 # 10_147) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_147)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_147)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_147"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_147"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_147"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_147"}] Chiral false false false
a(4_1 # 10_148) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_148)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_148)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_148"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_148"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_148"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_148"}] Chiral false false false
a(4_1 # 10_149) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_149)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_149)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_149"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_149"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_149"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_149"}] Chiral false false false
a(4_1 # 10_15) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_15)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_15)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_15"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_15"}] Chiral true false false
a(4_1 # 10_150) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_150)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_150)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_150"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_150"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_150"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_150"}] Chiral false false false
a(4_1 # 10_151) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_151)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_151)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_151"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_151"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_151"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_151"}] Chiral false false false
a(4_1 # 10_152) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_152)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_152)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_152"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_152"}] Chiral true false false
a(4_1 # 10_153) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_153)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_153)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_153"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_153"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_153"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_153"}] Chiral false false false
a(4_1 # 10_154) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_154)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_154)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_154"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_154"}] Chiral true false false
a(4_1 # 10_155) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_155)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_155)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_155"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_155"}] Chiral true false false
a(4_1 # 10_156) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_156)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_156)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_156"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_156"}] Chiral true false false
a(4_1 # 10_157) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_157)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_157)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_157"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_157"}] Chiral true false false
a(4_1 # 10_158) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_158)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_158)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_158"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_158"}] Chiral true false false
a(4_1 # 10_159) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_159)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_159)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_159"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_159"}] Chiral true false false
a(4_1 # 10_16) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_16)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_16)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_16"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_16"}] Chiral true false false
a(4_1 # 10_160) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_160)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_160)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_160"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_160"}] Chiral true false false
a(4_1 # 10_161) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_161)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_161)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_161"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_161"}] Chiral true false false
a(4_1 # 10_162) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_162)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_162)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_162"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_162"}] Chiral true false false
a(4_1 # 10_163) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_163)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_163)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_163"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_163"}] Chiral true false false
a(4_1 # 10_164) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_164)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_164)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_164"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_164"}] Chiral true false false
a(4_1 # 10_165) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_165)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_165)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_165"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_165"}] Chiral true false false
a(4_1 # 10_17) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_17)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_17"}] Fully amphichiral true true true
a(4_1 # 10_18) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_18)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_18)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_18"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_18"}] Chiral true false false
a(4_1 # 10_19) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_19)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_19)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_19"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_19"}] Chiral true false false
a(4_1 # 10_2) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_2)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_2)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_2"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_2"}] Chiral true false false
a(4_1 # 10_20) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_20)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_20)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_20"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_20"}] Chiral true false false
a(4_1 # 10_21) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_21)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_21)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_21"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_21"}] Chiral true false false
a(4_1 # 10_22) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_22)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_22)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_22"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_22"}] Chiral true false false
a(4_1 # 10_23) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_23)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_23)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_23"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_23"}] Chiral true false false
a(4_1 # 10_24) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_24)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_24)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_24"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_24"}] Chiral true false false
a(4_1 # 10_25) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_25)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_25)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_25"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_25"}] Chiral true false false
a(4_1 # 10_26) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_26)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_26)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_26"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_26"}] Chiral true false false
a(4_1 # 10_27) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_27)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_27)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_27"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_27"}] Chiral true false false
a(4_1 # 10_28) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_28)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_28)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_28"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_28"}] Chiral true false false
a(4_1 # 10_29) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_29)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_29)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_29"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_29"}] Chiral true false false
a(4_1 # 10_3) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_3)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_3)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_3"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_3"}] Chiral true false false
a(4_1 # 10_30) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_30)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_30)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_30"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_30"}] Chiral true false false
a(4_1 # 10_31) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_31)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_31)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_31"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_31"}] Chiral true false false
a(4_1 # 10_32) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_32)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_32)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_32"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_32"}] Chiral true false false
a(4_1 # 10_33) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_33)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_33"}] Fully amphichiral true true true
a(4_1 # 10_34) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_34)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_34)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_34"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_34"}] Chiral true false false
a(4_1 # 10_35) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_35)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_35)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_35"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_35"}] Chiral true false false
a(4_1 # 10_36) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_36)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_36)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_36"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_36"}] Chiral true false false
a(4_1 # 10_37) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_37)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_37"}] Fully amphichiral true true true
a(4_1 # 10_38) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_38)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_38)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_38"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_38"}] Chiral true false false
a(4_1 # 10_39) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_39)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_39)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_39"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_39"}] Chiral true false false
a(4_1 # 10_4) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_4)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_4)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_4"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_4"}] Chiral true false false
a(4_1 # 10_40) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_40)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_40)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_40"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_40"}] Chiral true false false
a(4_1 # 10_41) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_41)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_41)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_41"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_41"}] Chiral true false false
a(4_1 # 10_42) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_42)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_42)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_42"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_42"}] Chiral true false false
a(4_1 # 10_43) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_43)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_43"}] Fully amphichiral true true true
a(4_1 # 10_44) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_44)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_44)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_44"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_44"}] Chiral true false false
a(4_1 # 10_45) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_45)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_45"}] Fully amphichiral true true true
a(4_1 # 10_46) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_46)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_46)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_46"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_46"}] Chiral true false false
a(4_1 # 10_47) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_47)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_47)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_47"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_47"}] Chiral true false false
a(4_1 # 10_48) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_48)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_48)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_48"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_48"}] Chiral true false false
a(4_1 # 10_49) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_49)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_49)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_49"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_49"}] Chiral true false false
a(4_1 # 10_5) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_5)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_5)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_5"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_5"}] Chiral true false false
a(4_1 # 10_50) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_50)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_50)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_50"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_50"}] Chiral true false false
a(4_1 # 10_51) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_51)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_51)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_51"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_51"}] Chiral true false false
a(4_1 # 10_52) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_52)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_52)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_52"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_52"}] Chiral true false false
a(4_1 # 10_53) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_53)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_53)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_53"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_53"}] Chiral true false false
a(4_1 # 10_54) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_54)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_54)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_54"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_54"}] Chiral true false false
a(4_1 # 10_55) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_55)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_55)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_55"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_55"}] Chiral true false false
a(4_1 # 10_56) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_56)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_56)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_56"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_56"}] Chiral true false false
a(4_1 # 10_57) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_57)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_57)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_57"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_57"}] Chiral true false false
a(4_1 # 10_58) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_58)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_58)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_58"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_58"}] Chiral true false false
a(4_1 # 10_59) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_59)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_59)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_59"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_59"}] Chiral true false false
a(4_1 # 10_6) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_6)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_6)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_6"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_6"}] Chiral true false false
a(4_1 # 10_60) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_60)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_60)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_60"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_60"}] Chiral true false false
a(4_1 # 10_61) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_61)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_61)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_61"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_61"}] Chiral true false false
a(4_1 # 10_62) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_62)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_62)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_62"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_62"}] Chiral true false false
a(4_1 # 10_63) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_63)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_63)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_63"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_63"}] Chiral true false false
a(4_1 # 10_64) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_64)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_64)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_64"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_64"}] Chiral true false false
a(4_1 # 10_65) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_65)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_65)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_65"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_65"}] Chiral true false false
a(4_1 # 10_66) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_66)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_66)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_66"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_66"}] Chiral true false false
a(4_1 # 10_67) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_67)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_67)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_67"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_67"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_67"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_67"}] Chiral false false false
a(4_1 # 10_68) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_68)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_68)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_68"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_68"}] Chiral true false false
a(4_1 # 10_69) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_69)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_69)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_69"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_69"}] Chiral true false false
a(4_1 # 10_7) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_7)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_7)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_7"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_7"}] Chiral true false false
a(4_1 # 10_70) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_70)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_70)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_70"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_70"}] Chiral true false false
a(4_1 # 10_71) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_71)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_71)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_71"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_71"}] Chiral true false false
a(4_1 # 10_72) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_72)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_72)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_72"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_72"}] Chiral true false false
a(4_1 # 10_73) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_73)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_73)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_73"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_73"}] Chiral true false false
a(4_1 # 10_74) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_74)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_74)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_74"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_74"}] Chiral true false false
a(4_1 # 10_75) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_75)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_75)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_75"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_75"}] Chiral true false false
a(4_1 # 10_76) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_76)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_76)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_76"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_76"}] Chiral true false false
a(4_1 # 10_77) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_77)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_77)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_77"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_77"}] Chiral true false false
a(4_1 # 10_78) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_78)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_78)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_78"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_78"}] Chiral true false false
a(4_1 # 10_79) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_79)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_79"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_79"}] Negative amphichiral false false true
a(4_1 # 10_8) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_8)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_8)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_8"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_8"}] Chiral true false false
a(4_1 # 10_80) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_80)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_80)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_80"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_80"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_80"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_80"}] Chiral false false false
a(4_1 # 10_81) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_81)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_81"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_81"}] Negative amphichiral false false true
a(4_1 # 10_82) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_82)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_82)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_82"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_82"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_82"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_82"}] Chiral false false false
a(4_1 # 10_83) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_83)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_83)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_83"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_83"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_83"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_83"}] Chiral false false false
a(4_1 # 10_84) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_84)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_84)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_84"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_84"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_84"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_84"}] Chiral false false false
a(4_1 # 10_85) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 10_85)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m10_85)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 10_85"}, {"dataset": "OrientedKnots", "key": "4_1 # m10_85"}, {"dataset": "OrientedKnots", "key": "4_1 # mr10_85"}, {"dataset": "OrientedKnots", "key": "4_1 # r10_85"}] Chiral false 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"