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_41) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_41)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_41)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_41"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_41"}] Chiral true false false
a(4_1 # 12n_410) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_410)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_410)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_410"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_410"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_410"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_410"}] Chiral false false false
a(4_1 # 12n_411) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_411)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_411)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_411"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_411"}] Chiral true false false
a(4_1 # 12n_412) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_412)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_412)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_412"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_412"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_412"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_412"}] Chiral false false false
a(4_1 # 12n_413) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_413)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_413)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_413"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_413"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_413"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_413"}] Chiral false false false
a(4_1 # 12n_414) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_414)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_414)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_414"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_414"}] Chiral true false false
a(4_1 # 12n_415) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_415)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_415)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_415"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_415"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_415"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_415"}] Chiral false false false
a(4_1 # 12n_416) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_416)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_416)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_416"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_416"}] Chiral true false false
a(4_1 # 12n_417) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_417)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_417)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_417"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_417"}] Chiral true false false
a(4_1 # 12n_418) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_418)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_418)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_418"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_418"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_418"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_418"}] Chiral false false false
a(4_1 # 12n_419) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_419)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_419)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_419"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_419"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_419"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_419"}] Chiral false false false
a(4_1 # 12n_42) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_42)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_42)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_42"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_42"}] Chiral true false false
a(4_1 # 12n_420) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_420)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_420)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_420"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_420"}] Chiral true false false
a(4_1 # 12n_421) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_421)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_421)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_421"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_421"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_421"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_421"}] Chiral false false false
a(4_1 # 12n_422) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_422)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_422)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_422"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_422"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_422"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_422"}] Chiral false false false
a(4_1 # 12n_423) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_423)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_423)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_423"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_423"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_423"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_423"}] Chiral false false false
a(4_1 # 12n_424) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_424)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_424)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_424"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_424"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_424"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_424"}] Chiral false false false
a(4_1 # 12n_425) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_425)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_425)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_425"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_425"}] Chiral true false false
a(4_1 # 12n_426) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_426)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_426)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_426"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_426"}] Chiral true false false
a(4_1 # 12n_427) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_427)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_427)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_427"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_427"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_427"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_427"}] Chiral false false false
a(4_1 # 12n_428) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_428)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_428)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_428"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_428"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_428"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_428"}] Chiral false false false
a(4_1 # 12n_429) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_429)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_429)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_429"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_429"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_429"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_429"}] Chiral false false false
a(4_1 # 12n_43) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_43)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_43)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_43"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_43"}] Chiral true false false
a(4_1 # 12n_430) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_430)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_430)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_430"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_430"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_430"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_430"}] Chiral false false false
a(4_1 # 12n_431) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_431)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_431)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_431"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_431"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_431"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_431"}] Chiral false false false
a(4_1 # 12n_432) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_432)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_432)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_432"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_432"}] Chiral true false false
a(4_1 # 12n_433) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_433)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_433)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_433"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_433"}] Chiral true false false
a(4_1 # 12n_434) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_434)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_434)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_434"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_434"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_434"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_434"}] Chiral false false false
a(4_1 # 12n_435) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_435)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_435)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_435"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_435"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_435"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_435"}] Chiral false false false
a(4_1 # 12n_436) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_436)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_436)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_436"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_436"}] Chiral true false false
a(4_1 # 12n_437) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_437)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_437)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_437"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_437"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_437"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_437"}] Chiral false false false
a(4_1 # 12n_438) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_438)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_438)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_438"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_438"}] Chiral true false false
a(4_1 # 12n_439) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_439)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_439)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_439"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_439"}] Chiral true false false
a(4_1 # 12n_44) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_44)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_44)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_44"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_44"}] Chiral true false false
a(4_1 # 12n_440) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_440)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_440)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_440"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_440"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_440"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_440"}] Chiral false false false
a(4_1 # 12n_441) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_441)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_441)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_441"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_441"}] Chiral true false false
a(4_1 # 12n_442) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_442)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_442)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_442"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_442"}] Chiral true false false
a(4_1 # 12n_443) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_443)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_443)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_443"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_443"}] Chiral true false false
a(4_1 # 12n_444) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_444)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_444)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_444"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_444"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_444"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_444"}] Chiral false false false
a(4_1 # 12n_445) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_445)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_445)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_445"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_445"}] Chiral true false false
a(4_1 # 12n_446) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_446)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_446)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_446"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_446"}] Chiral true false false
a(4_1 # 12n_447) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_447)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_447)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_447"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_447"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_447"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_447"}] Chiral false false false
a(4_1 # 12n_448) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_448)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_448)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_448"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_448"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_448"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_448"}] Chiral false false false
a(4_1 # 12n_449) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_449)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_449)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_449"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_449"}] Chiral true false false
a(4_1 # 12n_45) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_45)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_45)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_45"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_45"}] Chiral true false false
a(4_1 # 12n_450) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_450)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_450)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_450"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_450"}] Chiral true false false
a(4_1 # 12n_451) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_451)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_451)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_451"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_451"}] Chiral true false false
a(4_1 # 12n_452) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_452)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_452)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_452"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_452"}] Chiral true false false
a(4_1 # 12n_453) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_453)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_453)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_453"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_453"}] Chiral true false false
a(4_1 # 12n_454) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_454)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_454)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_454"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_454"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_454"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_454"}] Chiral false false false
a(4_1 # 12n_455) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_455)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_455)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_455"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_455"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_455"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_455"}] Chiral false false false
a(4_1 # 12n_456) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_456)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_456)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_456"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_456"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_456"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_456"}] Chiral false false false
a(4_1 # 12n_457) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_457)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_457)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_457"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_457"}] Chiral true false false
a(4_1 # 12n_458) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_458)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_458)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_458"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_458"}] Chiral true false false
a(4_1 # 12n_459) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_459)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_459)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_459"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_459"}] Chiral true false false
a(4_1 # 12n_46) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_46)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_46)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_46"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_46"}] Chiral true false false
a(4_1 # 12n_460) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_460)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_460)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_460"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_460"}] Chiral true false false
a(4_1 # 12n_461) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_461)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_461)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_461"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_461"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_461"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_461"}] Chiral false false false
a(4_1 # 12n_462) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_462)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_462"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_462"}] Negative amphichiral false false true
a(4_1 # 12n_463) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_463)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_463)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_463"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_463"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_463"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_463"}] Chiral false false false
a(4_1 # 12n_464) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_464)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_464)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_464"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_464"}] Chiral true false false
a(4_1 # 12n_465) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_465)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_465)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_465"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_465"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_465"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_465"}] Chiral false false false
a(4_1 # 12n_466) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_466)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_466)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_466"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_466"}] Chiral true false false
a(4_1 # 12n_467) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_467)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_467)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_467"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_467"}] Chiral true false false
a(4_1 # 12n_468) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_468)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_468)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_468"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_468"}] Chiral true false false
a(4_1 # 12n_469) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_469)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_469)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_469"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_469"}] Chiral true false false
a(4_1 # 12n_47) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_47)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_47)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_47"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_47"}] Chiral true false false
a(4_1 # 12n_470) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_470)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_470)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_470"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_470"}] Chiral true false false
a(4_1 # 12n_471) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_471)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_471)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_471"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_471"}] Chiral true false false
a(4_1 # 12n_472) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_472)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_472)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_472"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_472"}] Chiral true false false
a(4_1 # 12n_473) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_473)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_473)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_473"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_473"}] Chiral true false false
a(4_1 # 12n_474) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_474)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_474)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_474"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_474"}] Chiral true false false
a(4_1 # 12n_475) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_475)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_475)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_475"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_475"}] Chiral true false false
a(4_1 # 12n_476) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_476)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_476)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_476"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_476"}] Chiral true false false
a(4_1 # 12n_477) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_477)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_477)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_477"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_477"}] Chiral true false false
a(4_1 # 12n_478) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_478)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_478)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_478"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_478"}] Chiral true false false
a(4_1 # 12n_479) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_479)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_479)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_479"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_479"}] Chiral true false false
a(4_1 # 12n_48) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_48)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_48)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_48"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_48"}] Chiral true false false
a(4_1 # 12n_480) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_480)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_480)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_480"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_480"}] Chiral true false false
a(4_1 # 12n_481) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_481)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_481)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_481"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_481"}] Chiral true false false
a(4_1 # 12n_482) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_482)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_482)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_482"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_482"}] Chiral true false false
a(4_1 # 12n_483) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_483)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_483)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_483"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_483"}] Chiral true false false
a(4_1 # 12n_484) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_484)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_484)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_484"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_484"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_484"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_484"}] Chiral false false false
a(4_1 # 12n_485) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_485)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_485)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_485"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_485"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_485"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_485"}] Chiral false false false
a(4_1 # 12n_486) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_486)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_486)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_486"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_486"}] Chiral true false false
a(4_1 # 12n_487) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_487)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_487)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_487"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_487"}] Chiral true false false
a(4_1 # 12n_488) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_488)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_488)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_488"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_488"}] Chiral true false false
a(4_1 # 12n_489) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_489)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_489)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_489"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_489"}] Chiral true false false
a(4_1 # 12n_49) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_49)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_49)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_49"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_49"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_49"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_49"}] Chiral false false false
a(4_1 # 12n_490) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_490)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_490)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_490"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_490"}] Chiral true false false
a(4_1 # 12n_491) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_491)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_491)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_491"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_491"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_491"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_491"}] Chiral false false false
a(4_1 # 12n_492) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_492)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_492)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_492"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_492"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_492"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_492"}] Chiral false false false
a(4_1 # 12n_493) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_493)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_493)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_493"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_493"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_493"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_493"}] Chiral false false false
a(4_1 # 12n_494) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_494)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_494)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_494"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_494"}] Chiral true false false
a(4_1 # 12n_495) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_495)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_495)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_495"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_495"}] Chiral true false false
a(4_1 # 12n_496) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_496)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_496)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_496"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_496"}] Chiral true false false
a(4_1 # 12n_497) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_497)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_497)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_497"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_497"}] Chiral true false false
a(4_1 # 12n_498) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_498)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_498)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_498"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_498"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_498"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_498"}] Chiral false false false
a(4_1 # 12n_499) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_499)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_499)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_499"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_499"}] Chiral true false false
a(4_1 # 12n_5) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12n_5)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12n_5)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12n_5"}, {"dataset": "OrientedKnots", "key": "4_1 # m12n_5"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12n_5"}, {"dataset": "OrientedKnots", "key": "4_1 # r12n_5"}] 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"