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 # 12n_590) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_590)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_590)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_590"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_590"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_590"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_590"}] Chiral false false false
a(4_1 # 12n_591) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_591)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_591)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_591"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_591"}] Chiral true false false
a(4_1 # 12n_592) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_592)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_592)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_592"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_592"}] Chiral true false false
a(4_1 # 12n_593) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_593)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_593)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_593"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_593"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_593"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_593"}] Chiral false false false
a(4_1 # 12n_594) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_594)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_594)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_594"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_594"}] Chiral true false false
a(4_1 # 12n_595) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_595)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_595)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_595"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_595"}] Chiral true false false
a(4_1 # 12n_596) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_596)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_596)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_596"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_596"}] Chiral true false false
a(4_1 # 12n_597) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_597)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_597)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_597"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_597"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_597"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_597"}] Chiral false false false
a(4_1 # 12n_598) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_598)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_598)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_598"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_598"}] Chiral true false false
a(4_1 # 12n_599) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_599)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_599)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_599"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_599"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_599"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_599"}] Chiral false false false
a(4_1 # 12n_6) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_6)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_6)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_6"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_6"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_6"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_6"}] Chiral false false false
a(4_1 # 12n_60) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_60)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_60)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_60"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_60"}] Chiral true false false
a(4_1 # 12n_600) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_600)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_600)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_600"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_600"}] Chiral true false false
a(4_1 # 12n_601) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_601)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_601)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_601"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_601"}] Chiral true false false
a(4_1 # 12n_602) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_602)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_602)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_602"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_602"}] Chiral true false false
a(4_1 # 12n_603) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_603)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_603)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_603"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_603"}] Chiral true false false
a(4_1 # 12n_604) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_604)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_604)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_604"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_604"}] Chiral true false false
a(4_1 # 12n_605) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_605)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_605)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_605"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_605"}] Chiral true false false
a(4_1 # 12n_606) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_606)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_606)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_606"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_606"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_606"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_606"}] Chiral false false false
a(4_1 # 12n_607) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_607)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_607)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_607"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_607"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_607"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_607"}] Chiral false false false
a(4_1 # 12n_608) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_608)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_608)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_608"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_608"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_608"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_608"}] Chiral false false false
a(4_1 # 12n_609) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_609)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_609)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_609"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_609"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_609"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_609"}] Chiral false false false
a(4_1 # 12n_61) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_61)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_61)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_61"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_61"}] Chiral true false false
a(4_1 # 12n_610) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_610)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_610)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_610"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_610"}] Chiral true false false
a(4_1 # 12n_611) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_611)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_611)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_611"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_611"}] Chiral true false false
a(4_1 # 12n_612) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_612)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_612)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_612"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_612"}] Chiral true false false
a(4_1 # 12n_613) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_613)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_613)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_613"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_613"}] Chiral true false false
a(4_1 # 12n_614) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_614)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_614)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_614"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_614"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_614"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_614"}] Chiral false false false
a(4_1 # 12n_615) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_615)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_615)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_615"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_615"}] Chiral true false false
a(4_1 # 12n_616) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_616)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_616)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_616"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_616"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_616"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_616"}] Chiral false false false
a(4_1 # 12n_617) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_617)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_617)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_617"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_617"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_617"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_617"}] Chiral false false false
a(4_1 # 12n_618) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_618)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_618)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_618"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_618"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_618"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_618"}] Chiral false false false
a(4_1 # 12n_619) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_619)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_619)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_619"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_619"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_619"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_619"}] Chiral false false false
a(4_1 # 12n_62) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_62)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_62)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_62"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_62"}] Chiral true false false
a(4_1 # 12n_620) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_620)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_620)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_620"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_620"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_620"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_620"}] Chiral false false false
a(4_1 # 12n_621) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_621)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_621)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_621"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_621"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_621"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_621"}] Chiral false false false
a(4_1 # 12n_622) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_622)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_622)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_622"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_622"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_622"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_622"}] Chiral false false false
a(4_1 # 12n_623) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_623)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_623)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_623"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_623"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_623"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_623"}] Chiral false false false
a(4_1 # 12n_624) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_624)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_624)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_624"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_624"}] Chiral true false false
a(4_1 # 12n_625) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_625)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_625)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_625"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_625"}] Chiral true false false
a(4_1 # 12n_626) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_626)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_626)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_626"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_626"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_626"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_626"}] Chiral false false false
a(4_1 # 12n_627) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_627)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_627)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_627"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_627"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_627"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_627"}] Chiral false false false
a(4_1 # 12n_628) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_628)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_628)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_628"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_628"}] Chiral true false false
a(4_1 # 12n_629) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_629)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_629)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_629"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_629"}] Chiral true false false
a(4_1 # 12n_63) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_63)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_63)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_63"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_63"}] Chiral true false false
a(4_1 # 12n_630) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_630)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_630)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_630"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_630"}] Chiral true false false
a(4_1 # 12n_631) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_631)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_631)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_631"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_631"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_631"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_631"}] Chiral false false false
a(4_1 # 12n_632) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_632)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_632)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_632"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_632"}] Chiral true false false
a(4_1 # 12n_633) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_633)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_633)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_633"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_633"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_633"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_633"}] Chiral false false false
a(4_1 # 12n_634) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_634)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_634)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_634"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_634"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_634"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_634"}] Chiral false false false
a(4_1 # 12n_635) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_635)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_635)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_635"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_635"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_635"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_635"}] Chiral false false false
a(4_1 # 12n_636) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_636)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_636)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_636"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_636"}] Chiral true false false
a(4_1 # 12n_637) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_637)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_637)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_637"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_637"}] Chiral true false false
a(4_1 # 12n_638) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_638)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_638)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_638"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_638"}] Chiral true false false
a(4_1 # 12n_639) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_639)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_639)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_639"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_639"}] Chiral true false false
a(4_1 # 12n_64) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_64)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_64)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_64"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_64"}] Chiral true false false
a(4_1 # 12n_640) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_640)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_640)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_640"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_640"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_640"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_640"}] Chiral false false false
a(4_1 # 12n_641) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_641)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_641)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_641"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_641"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_641"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_641"}] Chiral false false false
a(4_1 # 12n_642) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_642)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_642)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_642"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_642"}] Chiral true false false
a(4_1 # 12n_643) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_643)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_643)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_643"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_643"}] Chiral true false false
a(4_1 # 12n_644) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_644)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_644)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_644"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_644"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_644"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_644"}] Chiral false false false
a(4_1 # 12n_645) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_645)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_645)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_645"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_645"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_645"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_645"}] Chiral false false false
a(4_1 # 12n_646) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_646)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_646)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_646"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_646"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_646"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_646"}] Chiral false false false
a(4_1 # 12n_647) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_647)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_647)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_647"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_647"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_647"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_647"}] Chiral false false false
a(4_1 # 12n_648) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_648)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_648)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_648"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_648"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_648"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_648"}] Chiral false false false
a(4_1 # 12n_649) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_649)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_649)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_649"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_649"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_649"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_649"}] Chiral false false false
a(4_1 # 12n_65) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_65)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_65)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_65"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_65"}] Chiral true false false
a(4_1 # 12n_650) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_650)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_650)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_650"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_650"}] Chiral true false false
a(4_1 # 12n_651) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_651)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_651)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_651"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_651"}] Chiral true false false
a(4_1 # 12n_652) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_652)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_652)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_652"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_652"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_652"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_652"}] Chiral false false false
a(4_1 # 12n_653) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_653)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_653)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_653"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_653"}] Chiral true false false
a(4_1 # 12n_654) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_654)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_654)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_654"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_654"}] Chiral true false false
a(4_1 # 12n_655) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_655)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_655)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_655"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_655"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_655"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_655"}] Chiral false false false
a(4_1 # 12n_656) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_656)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_656)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_656"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_656"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_656"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_656"}] Chiral false false false
a(4_1 # 12n_657) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_657)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_657)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_657"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_657"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_657"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_657"}] Chiral false false false
a(4_1 # 12n_658) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_658)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_658)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_658"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_658"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_658"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_658"}] Chiral false false false
a(4_1 # 12n_659) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_659)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_659)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_659"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_659"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_659"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_659"}] Chiral false false false
a(4_1 # 12n_66) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_66)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_66)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_66"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_66"}] Chiral true false false
a(4_1 # 12n_660) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_660)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_660)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_660"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_660"}] Chiral true false false
a(4_1 # 12n_661) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_661)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_661)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_661"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_661"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_661"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_661"}] Chiral false false false
a(4_1 # 12n_662) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_662)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_662)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_662"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_662"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_662"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_662"}] Chiral false false false
a(4_1 # 12n_663) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_663)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_663)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_663"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_663"}] Chiral true false false
a(4_1 # 12n_664) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_664)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_664)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_664"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_664"}] Chiral true false false
a(4_1 # 12n_665) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_665)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_665)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_665"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_665"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_665"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_665"}] Chiral false false false
a(4_1 # 12n_666) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_666)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_666)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_666"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_666"}] Chiral true false false
a(4_1 # 12n_667) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_667)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_667)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_667"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_667"}] Chiral true false false
a(4_1 # 12n_668) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_668)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_668)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_668"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_668"}] Chiral true false false
a(4_1 # 12n_669) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_669)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_669)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_669"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_669"}] Chiral true false false
a(4_1 # 12n_67) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_67)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_67)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_67"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_67"}] Chiral true false false
a(4_1 # 12n_670) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_670)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_670)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_670"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_670"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_670"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_670"}] Chiral false false false
a(4_1 # 12n_671) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_671)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_671)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_671"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_671"}] Chiral true false false
a(4_1 # 12n_672) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_672)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_672)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_672"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_672"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_672"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_672"}] Chiral false false false
a(4_1 # 12n_673) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_673)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_673)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_673"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_673"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_673"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_673"}] Chiral false false false
a(4_1 # 12n_674) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_674)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_674)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_674"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_674"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_674"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_674"}] Chiral false false false
a(4_1 # 12n_675) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_675)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_675)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_675"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_675"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_675"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_675"}] Chiral false false false
a(4_1 # 12n_676) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_676)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_676)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_676"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_676"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_676"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_676"}] Chiral false false false
a(4_1 # 12n_677) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_677)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_677)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_677"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_677"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_677"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_677"}] Chiral false false false
a(4_1 # 12n_678) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_678)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_678)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_678"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_678"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_678"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_678"}] Chiral false false false
a(4_1 # 12n_679) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_679)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_679)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_679"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_679"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_679"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_679"}] Chiral false false false
a(4_1 # 12n_68) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_68)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_68)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_68"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_68"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_68"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_68"}] 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"