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 # 11n_160) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_160)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_160)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_160"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_160"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_160"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_160"}] Chiral false false false
a(3_1 # 11n_161) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_161)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_161)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_161"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_161"}] Chiral true false false
a(3_1 # 11n_162) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_162)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_162)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_162"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_162"}] Chiral true false false
a(3_1 # 11n_163) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_163)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_163)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_163"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_163"}] Chiral true false false
a(3_1 # 11n_164) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_164)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_164)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_164"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_164"}] Chiral true false false
a(3_1 # 11n_165) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_165)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_165)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_165"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_165"}] Chiral true false false
a(3_1 # 11n_166) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_166)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_166)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_166"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_166"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_166"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_166"}] Chiral false false false
a(3_1 # 11n_167) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_167)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_167)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_167"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_167"}] Chiral true false false
a(3_1 # 11n_168) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_168)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_168)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_168"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_168"}] Chiral true false false
a(3_1 # 11n_169) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_169)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_169)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_169"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_169"}] Chiral true false false
a(3_1 # 11n_17) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_17)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_17)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_17"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_17"}] Chiral true false false
a(3_1 # 11n_170) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_170)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_170)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_170"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_170"}] Chiral true false false
a(3_1 # 11n_171) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_171)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_171)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_171"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_171"}] Chiral true false false
a(3_1 # 11n_172) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_172)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_172)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_172"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_172"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_172"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_172"}] Chiral false false false
a(3_1 # 11n_173) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_173)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_173)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_173"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_173"}] Chiral true false false
a(3_1 # 11n_174) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_174)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_174)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_174"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_174"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_174"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_174"}] Chiral false false false
a(3_1 # 11n_175) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_175)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_175)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_175"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_175"}] Chiral true false false
a(3_1 # 11n_176) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_176)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_176)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_176"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_176"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_176"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_176"}] Chiral false false false
a(3_1 # 11n_177) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_177)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_177)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_177"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_177"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_177"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_177"}] Chiral false false false
a(3_1 # 11n_178) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_178)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_178)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_178"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_178"}] Chiral true false false
a(3_1 # 11n_179) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_179)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_179)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_179"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_179"}] Chiral true false false
a(3_1 # 11n_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_18)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_18"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_18"}] Chiral true false false
a(3_1 # 11n_180) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_180)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_180)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_180"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_180"}] Chiral true false false
a(3_1 # 11n_181) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_181)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_181)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_181"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_181"}] Chiral true false false
a(3_1 # 11n_182) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_182)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_182)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_182"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_182"}] Chiral true false false
a(3_1 # 11n_183) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_183)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_183)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_183"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_183"}] Chiral true false false
a(3_1 # 11n_184) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_184)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_184)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_184"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_184"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_184"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_184"}] Chiral false false false
a(3_1 # 11n_185) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_185)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_185)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_185"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_185"}] Chiral true false false
a(3_1 # 11n_19) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_19)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_19)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_19"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_19"}] Chiral true false false
a(3_1 # 11n_2) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_2)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_2)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_2"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_2"}] Chiral true false false
a(3_1 # 11n_20) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_20)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_20)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_20"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_20"}] Chiral true false false
a(3_1 # 11n_21) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_21)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_21)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_21"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_21"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_21"}] Chiral false false false
a(3_1 # 11n_22) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_22)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_22)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_22"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_22"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_22"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_22"}] Chiral false false false
a(3_1 # 11n_23) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_23)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_23)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_23"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_23"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_23"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_23"}] Chiral false false false
a(3_1 # 11n_24) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_24)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_24)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_24"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_24"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_24"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_24"}] Chiral false false false
a(3_1 # 11n_25) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_25)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_25)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_25"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_25"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_25"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_25"}] Chiral false false false
a(3_1 # 11n_26) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_26)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_26)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_26"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_26"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_26"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_26"}] Chiral false false false
a(3_1 # 11n_27) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_27)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_27)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_27"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_27"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_27"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_27"}] Chiral false false false
a(3_1 # 11n_28) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_28)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_28)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_28"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_28"}] Chiral true false false
a(3_1 # 11n_29) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_29)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_29)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_29"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_29"}] Chiral true false false
a(3_1 # 11n_3) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_3)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_3)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_3"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_3"}] Chiral true false false
a(3_1 # 11n_30) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_30)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_30)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_30"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_30"}] Chiral true false false
a(3_1 # 11n_31) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_31)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_31)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_31"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_31"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_31"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_31"}] Chiral false false false
a(3_1 # 11n_32) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_32)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_32)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_32"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_32"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_32"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_32"}] Chiral false false false
a(3_1 # 11n_33) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_33)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_33)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_33"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_33"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_33"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_33"}] Chiral false false false
a(3_1 # 11n_34) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_34)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_34)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_34"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_34"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_34"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_34"}] Chiral false false false
a(3_1 # 11n_35) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_35)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_35)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_35"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_35"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_35"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_35"}] Chiral false false false
a(3_1 # 11n_36) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_36)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_36)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_36"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_36"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_36"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_36"}] Chiral false false false
a(3_1 # 11n_37) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_37)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_37)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_37"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_37"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_37"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_37"}] Chiral false false false
a(3_1 # 11n_38) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_38)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_38)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_38"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_38"}] Chiral true false false
a(3_1 # 11n_39) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_39)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_39)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_39"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_39"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_39"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_39"}] Chiral false false false
a(3_1 # 11n_4) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_4)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_4)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_4"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_4"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_4"}] Chiral false false false
a(3_1 # 11n_40) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_40)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_40)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_40"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_40"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_40"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_40"}] Chiral false false false
a(3_1 # 11n_41) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_41)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_41)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_41"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_41"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_41"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_41"}] Chiral false false false
a(3_1 # 11n_42) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_42)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_42)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_42"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_42"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_42"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_42"}] Chiral false false false
a(3_1 # 11n_43) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_43)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_43)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_43"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_43"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_43"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_43"}] Chiral false false false
a(3_1 # 11n_44) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_44)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_44)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_44"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_44"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_44"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_44"}] Chiral false false false
a(3_1 # 11n_45) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_45)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_45)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_45"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_45"}] Chiral true false false
a(3_1 # 11n_46) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_46)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_46)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_46"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_46"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_46"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_46"}] Chiral false false false
a(3_1 # 11n_47) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_47)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_47)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_47"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_47"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_47"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_47"}] Chiral false false false
a(3_1 # 11n_48) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_48)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_48)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_48"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_48"}] Chiral true false false
a(3_1 # 11n_49) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_49)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_49)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_49"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_49"}] Chiral true false false
a(3_1 # 11n_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_5"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_5"}] Chiral false false false
a(3_1 # 11n_50) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_50)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_50)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_50"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_50"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_50"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_50"}] Chiral false false false
a(3_1 # 11n_51) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_51)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_51)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_51"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_51"}] Chiral true false false
a(3_1 # 11n_52) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_52)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_52)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_52"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_52"}] Chiral true false false
a(3_1 # 11n_53) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_53)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_53)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_53"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_53"}] Chiral true false false
a(3_1 # 11n_54) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_54)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_54)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_54"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_54"}] Chiral true false false
a(3_1 # 11n_55) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_55)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_55)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_55"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_55"}] Chiral true false false
a(3_1 # 11n_56) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_56)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_56)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_56"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_56"}] Chiral true false false
a(3_1 # 11n_57) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_57)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_57)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_57"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_57"}] Chiral true false false
a(3_1 # 11n_58) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_58)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_58)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_58"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_58"}] Chiral true false false
a(3_1 # 11n_59) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_59)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_59)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_59"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_59"}] Chiral true false false
a(3_1 # 11n_6) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_6)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_6)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_6"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_6"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_6"}] Chiral false false false
a(3_1 # 11n_60) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_60)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_60)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_60"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_60"}] Chiral true false false
a(3_1 # 11n_61) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_61)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_61)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_61"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_61"}] Chiral true false false
a(3_1 # 11n_62) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_62)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_62)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_62"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_62"}] Chiral true false false
a(3_1 # 11n_63) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_63)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_63)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_63"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_63"}] Chiral true false false
a(3_1 # 11n_64) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_64)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_64)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_64"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_64"}] Chiral true false false
a(3_1 # 11n_65) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_65)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_65)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_65"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_65"}] Chiral true false false
a(3_1 # 11n_66) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_66)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_66)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_66"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_66"}] Chiral true false false
a(3_1 # 11n_67) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_67)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_67)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_67"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_67"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_67"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_67"}] Chiral false false false
a(3_1 # 11n_68) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_68)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_68)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_68"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_68"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_68"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_68"}] Chiral false false false
a(3_1 # 11n_69) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_69)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_69)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_69"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_69"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_69"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_69"}] Chiral false false false
a(3_1 # 11n_7) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_7)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_7)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_7"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_7"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_7"}] Chiral false false false
a(3_1 # 11n_70) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_70)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_70)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_70"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_70"}] Chiral true false false
a(3_1 # 11n_71) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_71)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_71)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_71"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_71"}] Chiral true false false
a(3_1 # 11n_72) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_72)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_72)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_72"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_72"}] Chiral true false false
a(3_1 # 11n_73) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_73)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_73)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_73"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_73"}] Chiral true false false
a(3_1 # 11n_74) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_74)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_74)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_74"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_74"}] Chiral true false false
a(3_1 # 11n_75) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_75)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_75)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_75"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_75"}] Chiral true false false
a(3_1 # 11n_76) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_76)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_76)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_76"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_76"}] Chiral true false false
a(3_1 # 11n_77) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_77)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_77)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_77"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_77"}] Chiral true false false
a(3_1 # 11n_78) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_78)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_78)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_78"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_78"}] Chiral true false false
a(3_1 # 11n_79) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_79)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_79)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_79"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_79"}] Chiral true false false
a(3_1 # 11n_8) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_8)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_8)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_8"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_8"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_8"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_8"}] Chiral false false false
a(3_1 # 11n_80) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_80)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_80)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_80"}, {"dataset": "OrientedKnots", "key": "3_1 # r11n_80"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_80"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr11n_80"}] Chiral false false false
a(3_1 # 11n_81) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_81)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_81)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_81"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_81"}] Chiral true false false
a(3_1 # 11n_82) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_82)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_82)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_82"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_82"}] Chiral true false false
a(3_1 # 11n_83) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 11n_83)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m11n_83)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 11n_83"}, {"dataset": "OrientedKnots", "key": "m3_1 # m11n_83"}] 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"