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 # 12a_5) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_5)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_5)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_5"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_5"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_5"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_5"}] Chiral false false false
a(4_1 # 12a_50) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_50)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_50)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_50"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_50"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_50"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_50"}] Chiral false false false
a(4_1 # 12a_500) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_500)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_500)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_500"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_500"}] Chiral true false false
a(4_1 # 12a_501) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_501)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_501)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_501"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_501"}] Chiral true false false
a(4_1 # 12a_502) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_502)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_502)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_502"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_502"}] Chiral true false false
a(4_1 # 12a_503) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_503)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_503)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_503"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_503"}] Chiral true false false
a(4_1 # 12a_504) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_504)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_504)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_504"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_504"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_504"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_504"}] Chiral false false false
a(4_1 # 12a_505) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_505)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_505)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_505"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_505"}] Chiral true false false
a(4_1 # 12a_506) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_506)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_506"}] Fully amphichiral true true true
a(4_1 # 12a_507) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_507)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_507)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_507"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_507"}] Chiral true false false
a(4_1 # 12a_508) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_508)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_508)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_508"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_508"}] Chiral true false false
a(4_1 # 12a_509) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_509)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_509)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_509"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_509"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_509"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_509"}] Chiral false false false
a(4_1 # 12a_51) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_51)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_51)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_51"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_51"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_51"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_51"}] Chiral false false false
a(4_1 # 12a_510) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_510)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_510"}] Fully amphichiral true true true
a(4_1 # 12a_511) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_511)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_511)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_511"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_511"}] Chiral true false false
a(4_1 # 12a_512) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_512)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_512)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_512"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_512"}] Chiral true false false
a(4_1 # 12a_513) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_513)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_513)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_513"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_513"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_513"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_513"}] Chiral false false false
a(4_1 # 12a_514) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_514)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_514)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_514"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_514"}] Chiral true false false
a(4_1 # 12a_515) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_515)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_515)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_515"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_515"}] Chiral true false false
a(4_1 # 12a_516) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_516)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_516)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_516"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_516"}] Chiral true false false
a(4_1 # 12a_517) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_517)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_517)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_517"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_517"}] Chiral true false false
a(4_1 # 12a_518) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_518)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_518)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_518"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_518"}] Chiral true false false
a(4_1 # 12a_519) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_519)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_519)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_519"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_519"}] Chiral true false false
a(4_1 # 12a_52) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_52)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_52)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_52"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_52"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_52"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_52"}] Chiral false false false
a(4_1 # 12a_520) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_520)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_520)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_520"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_520"}] Chiral true false false
a(4_1 # 12a_521) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_521)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_521)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_521"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_521"}] Chiral true false false
a(4_1 # 12a_522) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_522)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_522)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_522"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_522"}] Chiral true false false
a(4_1 # 12a_523) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_523)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_523)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_523"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_523"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_523"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_523"}] Chiral false false false
a(4_1 # 12a_524) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_524)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_524)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_524"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_524"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_524"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_524"}] Chiral false false false
a(4_1 # 12a_525) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_525)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_525)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_525"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_525"}] Chiral true false false
a(4_1 # 12a_526) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_526)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_526)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_526"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_526"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_526"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_526"}] Chiral false false false
a(4_1 # 12a_527) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_527)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_527)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_527"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_527"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_527"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_527"}] Chiral false false false
a(4_1 # 12a_528) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_528)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_528)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_528"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_528"}] Chiral true false false
a(4_1 # 12a_529) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_529)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_529)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_529"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_529"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_529"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_529"}] Chiral false false false
a(4_1 # 12a_53) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_53)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_53)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_53"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_53"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_53"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_53"}] Chiral false false false
a(4_1 # 12a_530) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_530)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_530)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_530"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_530"}] Chiral true false false
a(4_1 # 12a_531) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_531)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_531)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_531"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_531"}] Chiral true false false
a(4_1 # 12a_532) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_532)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_532)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_532"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_532"}] Chiral true false false
a(4_1 # 12a_533) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_533)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_533)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_533"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_533"}] Chiral true false false
a(4_1 # 12a_534) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_534)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_534)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_534"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_534"}] Chiral true false false
a(4_1 # 12a_535) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_535)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_535)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_535"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_535"}] Chiral true false false
a(4_1 # 12a_536) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_536)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_536)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_536"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_536"}] Chiral true false false
a(4_1 # 12a_537) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_537)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_537)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_537"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_537"}] Chiral true false false
a(4_1 # 12a_538) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_538)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_538)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_538"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_538"}] Chiral true false false
a(4_1 # 12a_539) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_539)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_539)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_539"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_539"}] Chiral true false false
a(4_1 # 12a_54) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_54)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_54)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_54"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_54"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_54"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_54"}] Chiral false false false
a(4_1 # 12a_540) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_540)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_540)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_540"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_540"}] Chiral true false false
a(4_1 # 12a_541) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_541)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_541)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_541"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_541"}] Chiral true false false
a(4_1 # 12a_542) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_542)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_542)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_542"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_542"}] Chiral true false false
a(4_1 # 12a_543) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_543)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_543)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_543"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_543"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_543"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_543"}] Chiral false false false
a(4_1 # 12a_544) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_544)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_544)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_544"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_544"}] Chiral true false false
a(4_1 # 12a_545) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_545)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_545)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_545"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_545"}] Chiral true false false
a(4_1 # 12a_546) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_546)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_546)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_546"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_546"}] Chiral true false false
a(4_1 # 12a_547) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_547)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_547)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_547"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_547"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_547"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_547"}] Chiral false false false
a(4_1 # 12a_548) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_548)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_548)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_548"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_548"}] Chiral true false false
a(4_1 # 12a_549) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_549)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_549)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_549"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_549"}] Chiral true false false
a(4_1 # 12a_55) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_55)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_55)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_55"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_55"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_55"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_55"}] Chiral false false false
a(4_1 # 12a_550) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_550)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_550)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_550"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_550"}] Chiral true false false
a(4_1 # 12a_551) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_551)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_551)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_551"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_551"}] Chiral true false false
a(4_1 # 12a_552) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_552)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_552)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_552"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_552"}] Chiral true false false
a(4_1 # 12a_553) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_553)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_553)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_553"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_553"}] Chiral true false false
a(4_1 # 12a_554) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_554)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_554)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_554"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_554"}] Chiral true false false
a(4_1 # 12a_555) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_555)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_555)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_555"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_555"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_555"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_555"}] Chiral false false false
a(4_1 # 12a_556) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_556)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_556)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_556"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_556"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_556"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_556"}] Chiral false false false
a(4_1 # 12a_557) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_557)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_557)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_557"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_557"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_557"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_557"}] Chiral false false false
a(4_1 # 12a_558) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_558)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_558)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_558"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_558"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_558"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_558"}] Chiral false false false
a(4_1 # 12a_559) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_559)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_559)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_559"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_559"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_559"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_559"}] Chiral false false false
a(4_1 # 12a_56) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_56)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_56)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_56"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_56"}] Chiral true false false
a(4_1 # 12a_560) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_560)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_560)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_560"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_560"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_560"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_560"}] Chiral false false false
a(4_1 # 12a_561) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_561)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_561)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_561"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_561"}] Chiral true false false
a(4_1 # 12a_562) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_562)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_562)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_562"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_562"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_562"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_562"}] Chiral false false false
a(4_1 # 12a_563) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_563)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_563)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_563"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_563"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_563"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_563"}] Chiral false false false
a(4_1 # 12a_564) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_564)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_564)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_564"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_564"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_564"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_564"}] Chiral false false false
a(4_1 # 12a_565) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_565)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_565)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_565"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_565"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_565"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_565"}] Chiral false false false
a(4_1 # 12a_566) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_566)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_566)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_566"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_566"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_566"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_566"}] Chiral false false false
a(4_1 # 12a_567) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_567)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_567)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_567"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_567"}] Chiral true false false
a(4_1 # 12a_568) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_568)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_568)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_568"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_568"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_568"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_568"}] Chiral false false false
a(4_1 # 12a_569) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_569)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_569)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_569"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_569"}] Chiral true false false
a(4_1 # 12a_57) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_57)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_57)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_57"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_57"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_57"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_57"}] Chiral false false false
a(4_1 # 12a_570) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_570)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_570)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_570"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_570"}] Chiral true false false
a(4_1 # 12a_571) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_571)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_571)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_571"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_571"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_571"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_571"}] Chiral false false false
a(4_1 # 12a_572) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_572)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_572)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_572"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_572"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_572"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_572"}] Chiral false false false
a(4_1 # 12a_573) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_573)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_573)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_573"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_573"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_573"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_573"}] Chiral false false false
a(4_1 # 12a_574) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_574)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_574)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_574"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_574"}] Chiral true false false
a(4_1 # 12a_575) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_575)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_575)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_575"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_575"}] Chiral true false false
a(4_1 # 12a_576) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_576)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_576)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_576"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_576"}] Chiral true false false
a(4_1 # 12a_577) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_577)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_577)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_577"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_577"}] Chiral true false false
a(4_1 # 12a_578) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_578)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_578)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_578"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_578"}] Chiral true false false
a(4_1 # 12a_579) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_579)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_579)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_579"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_579"}] Chiral true false false
a(4_1 # 12a_58) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_58)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_58"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_58"}] Negative amphichiral false false true
a(4_1 # 12a_580) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_580)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_580)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_580"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_580"}] Chiral true false false
a(4_1 # 12a_581) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_581)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_581)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_581"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_581"}] Chiral true false false
a(4_1 # 12a_582) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_582)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_582)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_582"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_582"}] Chiral true false false
a(4_1 # 12a_583) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_583)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_583)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_583"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_583"}] Chiral true false false
a(4_1 # 12a_584) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_584)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_584)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_584"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_584"}] Chiral true false false
a(4_1 # 12a_585) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_585)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_585)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_585"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_585"}] Chiral true false false
a(4_1 # 12a_586) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_586)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_586)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_586"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_586"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_586"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_586"}] Chiral false false false
a(4_1 # 12a_587) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_587)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_587)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_587"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_587"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_587"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_587"}] Chiral false false false
a(4_1 # 12a_588) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_588)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_588)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_588"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_588"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_588"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_588"}] Chiral false false false
a(4_1 # 12a_589) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_589)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_589)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_589"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_589"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_589"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_589"}] 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"