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_32) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_32)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_32)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_32"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_32"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_32"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_32"}] Chiral false false false
a(4_1 # 12n_320) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_320)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_320)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_320"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_320"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_320"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_320"}] Chiral false false false
a(4_1 # 12n_321) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_321)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_321)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_321"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_321"}] Chiral true false false
a(4_1 # 12n_322) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_322)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_322)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_322"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_322"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_322"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_322"}] Chiral false false false
a(4_1 # 12n_323) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_323)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_323)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_323"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_323"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_323"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_323"}] Chiral false false false
a(4_1 # 12n_324) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_324)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_324)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_324"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_324"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_324"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_324"}] Chiral false false false
a(4_1 # 12n_325) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_325)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_325)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_325"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_325"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_325"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_325"}] Chiral false false false
a(4_1 # 12n_326) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_326)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_326)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_326"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_326"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_326"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_326"}] Chiral false false false
a(4_1 # 12n_327) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_327)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_327)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_327"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_327"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_327"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_327"}] Chiral false false false
a(4_1 # 12n_328) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_328)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_328)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_328"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_328"}] Chiral true false false
a(4_1 # 12n_329) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_329)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_329)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_329"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_329"}] Chiral true false false
a(4_1 # 12n_33) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_33)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_33)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_33"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_33"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_33"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_33"}] Chiral false false false
a(4_1 # 12n_330) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_330)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_330)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_330"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_330"}] Chiral true false false
a(4_1 # 12n_331) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_331)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_331)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_331"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_331"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_331"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_331"}] Chiral false false false
a(4_1 # 12n_332) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_332)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_332)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_332"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_332"}] Chiral true false false
a(4_1 # 12n_333) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_333)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_333)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_333"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_333"}] Chiral true false false
a(4_1 # 12n_334) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_334)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_334)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_334"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_334"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_334"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_334"}] Chiral false false false
a(4_1 # 12n_335) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_335)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_335)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_335"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_335"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_335"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_335"}] Chiral false false false
a(4_1 # 12n_336) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_336)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_336)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_336"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_336"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_336"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_336"}] Chiral false false false
a(4_1 # 12n_337) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_337)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_337)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_337"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_337"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_337"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_337"}] Chiral false false false
a(4_1 # 12n_338) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_338)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_338)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_338"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_338"}] Chiral true false false
a(4_1 # 12n_339) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_339)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_339)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_339"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_339"}] Chiral true false false
a(4_1 # 12n_34) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_34)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_34)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_34"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_34"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_34"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_34"}] Chiral false false false
a(4_1 # 12n_340) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_340)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_340)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_340"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_340"}] Chiral true false false
a(4_1 # 12n_341) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_341)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_341)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_341"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_341"}] Chiral true false false
a(4_1 # 12n_342) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_342)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_342)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_342"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_342"}] Chiral true false false
a(4_1 # 12n_343) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_343)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_343)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_343"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_343"}] Chiral true false false
a(4_1 # 12n_344) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_344)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_344)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_344"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_344"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_344"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_344"}] Chiral false false false
a(4_1 # 12n_345) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_345)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_345)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_345"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_345"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_345"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_345"}] Chiral false false false
a(4_1 # 12n_346) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_346)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_346)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_346"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_346"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_346"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_346"}] Chiral false false false
a(4_1 # 12n_347) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_347)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_347)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_347"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_347"}] Chiral true false false
a(4_1 # 12n_348) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_348)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_348)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_348"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_348"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_348"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_348"}] Chiral false false false
a(4_1 # 12n_349) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_349)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_349)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_349"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_349"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_349"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_349"}] Chiral false false false
a(4_1 # 12n_35) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_35)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_35)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_35"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_35"}] Chiral true false false
a(4_1 # 12n_350) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_350)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_350)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_350"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_350"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_350"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_350"}] Chiral false false false
a(4_1 # 12n_351) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_351)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_351)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_351"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_351"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_351"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_351"}] Chiral false false false
a(4_1 # 12n_352) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_352)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_352)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_352"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_352"}] Chiral true false false
a(4_1 # 12n_353) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_353)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_353)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_353"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_353"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_353"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_353"}] Chiral false false false
a(4_1 # 12n_354) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_354)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_354)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_354"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_354"}] Chiral true false false
a(4_1 # 12n_355) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_355)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_355)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_355"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_355"}] Chiral true false false
a(4_1 # 12n_356) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_356)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_356"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_356"}] Negative amphichiral false false true
a(4_1 # 12n_357) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_357)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_357)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_357"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_357"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_357"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_357"}] Chiral false false false
a(4_1 # 12n_358) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_358)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_358)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_358"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_358"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_358"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_358"}] Chiral false false false
a(4_1 # 12n_359) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_359)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_359)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_359"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_359"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_359"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_359"}] Chiral false false false
a(4_1 # 12n_36) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_36)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_36)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_36"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_36"}] Chiral true false false
a(4_1 # 12n_360) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_360)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_360)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_360"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_360"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_360"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_360"}] Chiral false false false
a(4_1 # 12n_361) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_361)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_361)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_361"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_361"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_361"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_361"}] Chiral false false false
a(4_1 # 12n_362) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_362)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_362)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_362"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_362"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_362"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_362"}] Chiral false false false
a(4_1 # 12n_363) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_363)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_363)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_363"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_363"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_363"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_363"}] Chiral false false false
a(4_1 # 12n_364) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_364)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_364)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_364"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_364"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_364"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_364"}] Chiral false false false
a(4_1 # 12n_365) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_365)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_365)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_365"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_365"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_365"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_365"}] Chiral false false false
a(4_1 # 12n_366) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_366)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_366)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_366"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_366"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_366"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_366"}] Chiral false false false
a(4_1 # 12n_367) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_367)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_367)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_367"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_367"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_367"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_367"}] Chiral false false false
a(4_1 # 12n_368) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_368)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_368)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_368"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_368"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_368"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_368"}] Chiral false false false
a(4_1 # 12n_369) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_369)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_369)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_369"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_369"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_369"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_369"}] Chiral false false false
a(4_1 # 12n_37) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_37)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_37)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_37"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_37"}] Chiral true false false
a(4_1 # 12n_370) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_370)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_370)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_370"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_370"}] Chiral true false false
a(4_1 # 12n_371) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_371)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_371)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_371"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_371"}] Chiral true false false
a(4_1 # 12n_372) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_372)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_372)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_372"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_372"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_372"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_372"}] Chiral false false false
a(4_1 # 12n_373) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_373)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_373)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_373"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_373"}] Chiral true false false
a(4_1 # 12n_374) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_374)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_374)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_374"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_374"}] Chiral true false false
a(4_1 # 12n_375) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_375)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_375)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_375"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_375"}] Chiral true false false
a(4_1 # 12n_376) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_376)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_376)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_376"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_376"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_376"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_376"}] Chiral false false false
a(4_1 # 12n_377) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_377)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_377)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_377"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_377"}] Chiral true false false
a(4_1 # 12n_378) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_378)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_378)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_378"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_378"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_378"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_378"}] Chiral false false false
a(4_1 # 12n_379) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_379)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_379)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_379"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_379"}] Chiral true false false
a(4_1 # 12n_38) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_38)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_38)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_38"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_38"}] Chiral true false false
a(4_1 # 12n_380) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_380)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_380)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_380"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_380"}] Chiral true false false
a(4_1 # 12n_381) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_381)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_381)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_381"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_381"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_381"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_381"}] Chiral false false false
a(4_1 # 12n_382) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_382)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_382)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_382"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_382"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_382"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_382"}] Chiral false false false
a(4_1 # 12n_383) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_383)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_383)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_383"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_383"}] Chiral true false false
a(4_1 # 12n_384) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_384)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_384)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_384"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_384"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_384"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_384"}] Chiral false false false
a(4_1 # 12n_385) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_385)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_385)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_385"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_385"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_385"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_385"}] Chiral false false false
a(4_1 # 12n_386) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_386)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_386)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_386"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_386"}] Chiral true false false
a(4_1 # 12n_387) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_387)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_387)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_387"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_387"}] Chiral true false false
a(4_1 # 12n_388) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_388)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_388)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_388"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_388"}] Chiral true false false
a(4_1 # 12n_389) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_389)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_389)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_389"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_389"}] Chiral true false false
a(4_1 # 12n_39) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_39)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_39)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_39"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_39"}] Chiral true false false
a(4_1 # 12n_390) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_390)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_390)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_390"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_390"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_390"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_390"}] Chiral false false false
a(4_1 # 12n_391) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_391)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_391)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_391"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_391"}] Chiral true false false
a(4_1 # 12n_392) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_392)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_392)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_392"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_392"}] Chiral true false false
a(4_1 # 12n_393) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_393)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_393)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_393"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_393"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_393"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_393"}] Chiral false false false
a(4_1 # 12n_394) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_394)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_394)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_394"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_394"}] Chiral true false false
a(4_1 # 12n_395) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_395)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_395)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_395"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_395"}] Chiral true false false
a(4_1 # 12n_396) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_396)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_396)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_396"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_396"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_396"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_396"}] Chiral false false false
a(4_1 # 12n_397) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_397)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_397)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_397"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_397"}] Chiral true false false
a(4_1 # 12n_398) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_398)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_398)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_398"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_398"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_398"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_398"}] Chiral false false false
a(4_1 # 12n_399) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_399)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_399)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_399"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_399"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_399"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_399"}] Chiral false false false
a(4_1 # 12n_4) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_4)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_4)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_4"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_4"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_4"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_4"}] Chiral false false false
a(4_1 # 12n_40) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_40)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_40)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_40"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_40"}] Chiral true false false
a(4_1 # 12n_400) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_400)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_400)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_400"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_400"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_400"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_400"}] Chiral false false false
a(4_1 # 12n_401) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_401)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_401)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_401"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_401"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_401"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_401"}] Chiral false false false
a(4_1 # 12n_402) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_402)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_402)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_402"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_402"}] Chiral true false false
a(4_1 # 12n_403) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_403)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_403)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_403"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_403"}] Chiral true false false
a(4_1 # 12n_404) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_404)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_404)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_404"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_404"}] Chiral true false false
a(4_1 # 12n_405) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_405)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_405)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_405"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_405"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_405"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_405"}] Chiral false false false
a(4_1 # 12n_406) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_406)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_406)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_406"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_406"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_406"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_406"}] Chiral false false false
a(4_1 # 12n_407) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_407)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_407)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_407"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_407"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_407"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_407"}] Chiral false false false
a(4_1 # 12n_408) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_408)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_408)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_408"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_408"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_408"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_408"}] Chiral false false false
a(4_1 # 12n_409) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_409)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_409)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_409"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_409"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_409"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_409"}] 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"