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_319) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_319)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_319)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_319"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_319"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_319"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_319"}] Chiral false false false
a(4_1 # 12a_32) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_32)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_32)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_32"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_32"}] Chiral true false false
a(4_1 # 12a_320) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_320)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_320)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_320"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_320"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_320"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_320"}] Chiral false false false
a(4_1 # 12a_321) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_321)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_321)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_321"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_321"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_321"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_321"}] Chiral false false false
a(4_1 # 12a_322) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_322)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_322)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_322"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_322"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_322"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_322"}] Chiral false false false
a(4_1 # 12a_323) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_323)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_323)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_323"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_323"}] Chiral true false false
a(4_1 # 12a_324) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_324)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_324)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_324"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_324"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_324"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_324"}] Chiral false false false
a(4_1 # 12a_325) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_325)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_325)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_325"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_325"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_325"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_325"}] Chiral false false false
a(4_1 # 12a_326) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_326)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_326)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_326"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_326"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_326"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_326"}] Chiral false false false
a(4_1 # 12a_327) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_327)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_327)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_327"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_327"}] Chiral true false false
a(4_1 # 12a_328) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_328)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_328)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_328"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_328"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_328"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_328"}] Chiral false false false
a(4_1 # 12a_329) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_329)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_329)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_329"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_329"}] Chiral true false false
a(4_1 # 12a_33) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_33)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_33)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_33"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_33"}] Chiral true false false
a(4_1 # 12a_330) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_330)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_330)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_330"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_330"}] Chiral true false false
a(4_1 # 12a_331) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_331)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_331)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_331"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_331"}] Chiral true false false
a(4_1 # 12a_332) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_332)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_332)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_332"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_332"}] Chiral true false false
a(4_1 # 12a_333) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_333)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_333)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_333"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_333"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_333"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_333"}] Chiral false false false
a(4_1 # 12a_334) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_334)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_334)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_334"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_334"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_334"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_334"}] Chiral false false false
a(4_1 # 12a_335) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_335)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_335)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_335"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_335"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_335"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_335"}] Chiral false false false
a(4_1 # 12a_336) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_336)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_336)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_336"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_336"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_336"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_336"}] Chiral false false false
a(4_1 # 12a_337) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_337)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_337)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_337"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_337"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_337"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_337"}] Chiral false false false
a(4_1 # 12a_338) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_338)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_338)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_338"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_338"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_338"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_338"}] Chiral false false false
a(4_1 # 12a_339) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_339)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_339)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_339"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_339"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_339"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_339"}] Chiral false false false
a(4_1 # 12a_34) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_34)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_34)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_34"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_34"}] Chiral true false false
a(4_1 # 12a_340) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_340)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_340)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_340"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_340"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_340"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_340"}] Chiral false false false
a(4_1 # 12a_341) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_341)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_341"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_341"}] Negative amphichiral false false true
a(4_1 # 12a_342) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_342)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_342)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_342"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_342"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_342"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_342"}] Chiral false false false
a(4_1 # 12a_343) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_343)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_343)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_343"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_343"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_343"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_343"}] Chiral false false false
a(4_1 # 12a_344) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_344)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_344)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_344"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_344"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_344"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_344"}] Chiral false false false
a(4_1 # 12a_345) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_345)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_345)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_345"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_345"}] Chiral true false false
a(4_1 # 12a_346) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_346)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_346)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_346"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_346"}] Chiral true false false
a(4_1 # 12a_347) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_347)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_347)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_347"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_347"}] Chiral true false false
a(4_1 # 12a_348) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_348)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_348)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_348"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_348"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_348"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_348"}] Chiral false false false
a(4_1 # 12a_349) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_349)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_349)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_349"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_349"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_349"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_349"}] Chiral false false false
a(4_1 # 12a_35) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_35)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_35)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_35"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_35"}] Chiral true false false
a(4_1 # 12a_350) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_350)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_350)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_350"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_350"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_350"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_350"}] Chiral false false false
a(4_1 # 12a_351) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_351)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_351)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_351"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_351"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_351"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_351"}] Chiral false false false
a(4_1 # 12a_352) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_352)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_352)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_352"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_352"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_352"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_352"}] Chiral false false false
a(4_1 # 12a_353) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_353)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_353)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_353"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_353"}] Chiral true false false
a(4_1 # 12a_354) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_354)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_354)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_354"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_354"}] Chiral true false false
a(4_1 # 12a_355) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_355)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_355)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_355"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_355"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_355"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_355"}] Chiral false false false
a(4_1 # 12a_356) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_356)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_356)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_356"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_356"}] Chiral true false false
a(4_1 # 12a_357) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_357)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_357)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_357"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_357"}] Chiral true false false
a(4_1 # 12a_358) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_358)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_358)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_358"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_358"}] Chiral true false false
a(4_1 # 12a_359) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_359)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_359)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_359"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_359"}] Chiral true false false
a(4_1 # 12a_36) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_36)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_36)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_36"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_36"}] Chiral true false false
a(4_1 # 12a_360) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_360)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_360)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_360"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_360"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_360"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_360"}] Chiral false false false
a(4_1 # 12a_361) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_361)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_361)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_361"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_361"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_361"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_361"}] Chiral false false false
a(4_1 # 12a_362) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_362)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_362)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_362"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_362"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_362"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_362"}] Chiral false false false
a(4_1 # 12a_363) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_363)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_363)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_363"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_363"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_363"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_363"}] Chiral false false false
a(4_1 # 12a_364) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_364)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_364)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_364"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_364"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_364"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_364"}] Chiral false false false
a(4_1 # 12a_365) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_365)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_365)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_365"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_365"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_365"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_365"}] Chiral false false false
a(4_1 # 12a_366) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_366)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_366)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_366"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_366"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_366"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_366"}] Chiral false false false
a(4_1 # 12a_367) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_367)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_367)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_367"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_367"}] Chiral true false false
a(4_1 # 12a_368) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_368)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_368)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_368"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_368"}] Chiral true false false
a(4_1 # 12a_369) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_369)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_369)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_369"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_369"}] Chiral true false false
a(4_1 # 12a_37) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_37)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_37)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_37"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_37"}] Chiral true false false
a(4_1 # 12a_370) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_370)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_370)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_370"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_370"}] Chiral true false false
a(4_1 # 12a_371) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_371)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_371)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_371"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_371"}] Chiral true false false
a(4_1 # 12a_372) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_372)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_372)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_372"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_372"}] Chiral true false false
a(4_1 # 12a_373) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_373)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_373)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_373"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_373"}] Chiral true false false
a(4_1 # 12a_374) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_374)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_374)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_374"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_374"}] Chiral true false false
a(4_1 # 12a_375) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_375)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_375)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_375"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_375"}] Chiral true false false
a(4_1 # 12a_376) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_376)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_376)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_376"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_376"}] Chiral true false false
a(4_1 # 12a_377) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_377)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_377)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_377"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_377"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_377"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_377"}] Chiral false false false
a(4_1 # 12a_378) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_378)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_378)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_378"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_378"}] Chiral true false false
a(4_1 # 12a_379) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_379)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_379)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_379"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_379"}] Chiral true false false
a(4_1 # 12a_38) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_38)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_38)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_38"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_38"}] Chiral true false false
a(4_1 # 12a_380) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_380)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_380)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_380"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_380"}] Chiral true false false
a(4_1 # 12a_381) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_381)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_381)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_381"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_381"}] Chiral true false false
a(4_1 # 12a_382) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_382)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_382)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_382"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_382"}] Chiral true false false
a(4_1 # 12a_383) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_383)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_383)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_383"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_383"}] Chiral true false false
a(4_1 # 12a_384) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_384)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_384)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_384"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_384"}] Chiral true false false
a(4_1 # 12a_385) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_385)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_385)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_385"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_385"}] Chiral true false false
a(4_1 # 12a_386) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_386)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_386)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_386"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_386"}] Chiral true false false
a(4_1 # 12a_387) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_387)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_387)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_387"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_387"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_387"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_387"}] Chiral false false false
a(4_1 # 12a_388) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_388)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_388)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_388"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_388"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_388"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_388"}] Chiral false false false
a(4_1 # 12a_389) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_389)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_389)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_389"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_389"}] Chiral true false false
a(4_1 # 12a_39) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_39)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_39)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_39"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_39"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_39"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_39"}] Chiral false false false
a(4_1 # 12a_390) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_390)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_390)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_390"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_390"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_390"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_390"}] Chiral false false false
a(4_1 # 12a_391) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_391)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_391)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_391"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_391"}] Chiral true false false
a(4_1 # 12a_392) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_392)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_392)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_392"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_392"}] Chiral true false false
a(4_1 # 12a_393) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_393)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_393)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_393"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_393"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_393"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_393"}] Chiral false false false
a(4_1 # 12a_394) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_394)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_394)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_394"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_394"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_394"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_394"}] Chiral false false false
a(4_1 # 12a_395) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_395)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_395)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_395"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_395"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_395"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_395"}] Chiral false false false
a(4_1 # 12a_396) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_396)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_396)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_396"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_396"}] Chiral true false false
a(4_1 # 12a_397) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_397)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_397)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_397"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_397"}] Chiral true false false
a(4_1 # 12a_398) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_398)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_398)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_398"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_398"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_398"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_398"}] Chiral false false false
a(4_1 # 12a_399) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_399)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_399)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_399"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_399"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_399"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_399"}] Chiral false false false
a(4_1 # 12a_4) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_4)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_4"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_4"}] Negative amphichiral false false true
a(4_1 # 12a_40) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_40)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_40)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_40"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_40"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_40"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_40"}] Chiral false false false
a(4_1 # 12a_400) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_400)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_400)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_400"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_400"}] Chiral true false false
a(4_1 # 12a_401) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_401)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_401)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_401"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_401"}] Chiral true false false
a(4_1 # 12a_402) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_402)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_402)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_402"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_402"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_402"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_402"}] Chiral false false false
a(4_1 # 12a_403) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_403)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_403)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_403"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_403"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_403"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_403"}] Chiral false false false
a(4_1 # 12a_404) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_404)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_404)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_404"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_404"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_404"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_404"}] Chiral false false false
a(4_1 # 12a_405) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_405)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_405)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_405"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_405"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_405"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_405"}] Chiral false false false
a(4_1 # 12a_406) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_406)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_406)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_406"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_406"}] Chiral true false false
a(4_1 # 12a_407) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_407)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_407)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_407"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_407"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_407"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_407"}] Chiral false false false
a(4_1 # 12a_408) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_408)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_408)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_408"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_408"}] 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"