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_409) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_409)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_409)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_409"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_409"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_409"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_409"}] Chiral false false false
a(4_1 # 12a_41) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_41)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_41)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_41"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_41"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_41"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_41"}] Chiral false false false
a(4_1 # 12a_410) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_410)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_410)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_410"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_410"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_410"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_410"}] Chiral false false false
a(4_1 # 12a_411) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_411)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_411)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_411"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_411"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_411"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_411"}] Chiral false false false
a(4_1 # 12a_412) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_412)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_412)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_412"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_412"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_412"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_412"}] Chiral false false false
a(4_1 # 12a_413) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_413)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_413)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_413"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_413"}] Chiral true false false
a(4_1 # 12a_414) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_414)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_414)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_414"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_414"}] Chiral true false false
a(4_1 # 12a_415) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_415)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_415)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_415"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_415"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_415"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_415"}] Chiral false false false
a(4_1 # 12a_416) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_416)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_416)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_416"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_416"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_416"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_416"}] Chiral false false false
a(4_1 # 12a_417) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_417)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_417)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_417"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_417"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_417"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_417"}] Chiral false false false
a(4_1 # 12a_418) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_418)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_418)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_418"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_418"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_418"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_418"}] Chiral false false false
a(4_1 # 12a_419) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_419)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_419)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_419"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_419"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_419"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_419"}] Chiral false false false
a(4_1 # 12a_42) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_42)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_42)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_42"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_42"}] Chiral true false false
a(4_1 # 12a_420) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_420)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_420)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_420"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_420"}] Chiral true false false
a(4_1 # 12a_421) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_421)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_421)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_421"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_421"}] Chiral true false false
a(4_1 # 12a_422) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_422)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_422)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_422"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_422"}] Chiral true false false
a(4_1 # 12a_423) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_423)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_423)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_423"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_423"}] Chiral true false false
a(4_1 # 12a_424) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_424)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_424)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_424"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_424"}] Chiral true false false
a(4_1 # 12a_425) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_425)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_425)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_425"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_425"}] Chiral true false false
a(4_1 # 12a_426) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_426)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_426)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_426"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_426"}] Chiral true false false
a(4_1 # 12a_427) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_427)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_427"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_427"}] Positive amphichiral false true false
a(4_1 # 12a_428) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_428)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_428)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_428"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_428"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_428"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_428"}] Chiral false false false
a(4_1 # 12a_429) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_429)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_429)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_429"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_429"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_429"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_429"}] Chiral false false false
a(4_1 # 12a_43) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_43)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_43)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_43"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_43"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_43"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_43"}] Chiral false false false
a(4_1 # 12a_430) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_430)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_430)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_430"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_430"}] Chiral true false false
a(4_1 # 12a_431) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_431)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_431)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_431"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_431"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_431"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_431"}] Chiral false false false
a(4_1 # 12a_432) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_432)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_432)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_432"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_432"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_432"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_432"}] Chiral false false false
a(4_1 # 12a_433) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_433)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_433)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_433"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_433"}] Chiral true false false
a(4_1 # 12a_434) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_434)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_434)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_434"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_434"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_434"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_434"}] Chiral false false false
a(4_1 # 12a_435) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_435)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_435"}] Fully amphichiral true true true
a(4_1 # 12a_436) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_436)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_436)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_436"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_436"}] Chiral true false false
a(4_1 # 12a_437) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_437)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_437)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_437"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_437"}] Chiral true false false
a(4_1 # 12a_438) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_438)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_438)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_438"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_438"}] Chiral true false false
a(4_1 # 12a_439) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_439)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_439)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_439"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_439"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_439"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_439"}] Chiral false false false
a(4_1 # 12a_44) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_44)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_44)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_44"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_44"}] Chiral true false false
a(4_1 # 12a_440) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_440)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_440)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_440"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_440"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_440"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_440"}] Chiral false false false
a(4_1 # 12a_441) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_441)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_441)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_441"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_441"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_441"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_441"}] Chiral false false false
a(4_1 # 12a_442) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_442)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_442)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_442"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_442"}] Chiral true false false
a(4_1 # 12a_443) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_443)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_443)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_443"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_443"}] Chiral true false false
a(4_1 # 12a_444) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_444)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_444)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_444"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_444"}] Chiral true false false
a(4_1 # 12a_445) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_445)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_445)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_445"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_445"}] Chiral true false false
a(4_1 # 12a_446) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_446)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_446)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_446"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_446"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_446"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_446"}] Chiral false false false
a(4_1 # 12a_447) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_447)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_447)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_447"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_447"}] Chiral true false false
a(4_1 # 12a_448) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_448)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_448)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_448"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_448"}] Chiral true false false
a(4_1 # 12a_449) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_449)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_449)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_449"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_449"}] Chiral true false false
a(4_1 # 12a_45) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_45)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_45)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_45"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_45"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_45"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_45"}] Chiral false false false
a(4_1 # 12a_450) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_450)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_450)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_450"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_450"}] Chiral true false false
a(4_1 # 12a_451) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_451)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_451)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_451"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_451"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_451"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_451"}] Chiral false false false
a(4_1 # 12a_452) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_452)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_452)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_452"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_452"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_452"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_452"}] Chiral false false false
a(4_1 # 12a_453) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_453)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_453)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_453"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_453"}] Chiral true false false
a(4_1 # 12a_454) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_454)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_454)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_454"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_454"}] Chiral true false false
a(4_1 # 12a_455) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_455)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_455)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_455"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_455"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_455"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_455"}] Chiral false false false
a(4_1 # 12a_456) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_456)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_456)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_456"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_456"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_456"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_456"}] Chiral false false false
a(4_1 # 12a_457) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_457)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_457)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_457"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_457"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_457"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_457"}] Chiral false false false
a(4_1 # 12a_458) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_458)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_458"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_458"}] Negative amphichiral false false true
a(4_1 # 12a_459) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_459)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_459)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_459"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_459"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_459"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_459"}] Chiral false false false
a(4_1 # 12a_46) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_46)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_46)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_46"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_46"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_46"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_46"}] Chiral false false false
a(4_1 # 12a_460) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_460)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_460)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_460"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_460"}] Chiral true false false
a(4_1 # 12a_461) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_461)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_461)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_461"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_461"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_461"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_461"}] Chiral false false false
a(4_1 # 12a_462) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_462)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_462"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_462"}] Negative amphichiral false false true
a(4_1 # 12a_463) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_463)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_463)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_463"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_463"}] Chiral true false false
a(4_1 # 12a_464) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_464)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_464)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_464"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_464"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_464"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_464"}] Chiral false false false
a(4_1 # 12a_465) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_465)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_465"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_465"}] Negative amphichiral false false true
a(4_1 # 12a_466) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_466)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_466)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_466"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_466"}] Chiral true false false
a(4_1 # 12a_467) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_467)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_467)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_467"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_467"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_467"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_467"}] Chiral false false false
a(4_1 # 12a_468) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_468)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_468)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_468"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_468"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_468"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_468"}] Chiral false false false
a(4_1 # 12a_469) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_469)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_469)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_469"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_469"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_469"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_469"}] Chiral false false false
a(4_1 # 12a_47) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_47)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_47)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_47"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_47"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_47"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_47"}] Chiral false false false
a(4_1 # 12a_470) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_470)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_470)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_470"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_470"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_470"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_470"}] Chiral false false false
a(4_1 # 12a_471) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_471)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_471"}] Fully amphichiral true true true
a(4_1 # 12a_472) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_472)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_472)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_472"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_472"}] Chiral true false false
a(4_1 # 12a_473) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_473)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_473)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_473"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_473"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_473"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_473"}] Chiral false false false
a(4_1 # 12a_474) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_474)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_474)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_474"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_474"}] Chiral true false false
a(4_1 # 12a_475) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_475)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_475)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_475"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_475"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_475"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_475"}] Chiral false false false
a(4_1 # 12a_476) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_476)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_476)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_476"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_476"}] Chiral true false false
a(4_1 # 12a_477) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_477)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_477"}] Fully amphichiral true true true
a(4_1 # 12a_478) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_478)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_478)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_478"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_478"}] Chiral true false false
a(4_1 # 12a_479) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_479)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_479)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_479"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_479"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_479"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_479"}] Chiral false false false
a(4_1 # 12a_48) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_48)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_48)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_48"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_48"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_48"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_48"}] Chiral false false false
a(4_1 # 12a_480) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_480)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_480)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_480"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_480"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_480"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_480"}] Chiral false false false
a(4_1 # 12a_481) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_481)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_481)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_481"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_481"}] Chiral true false false
a(4_1 # 12a_482) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_482)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_482)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_482"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_482"}] Chiral true false false
a(4_1 # 12a_483) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_483)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_483)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_483"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_483"}] Chiral true false false
a(4_1 # 12a_484) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_484)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_484)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_484"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_484"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_484"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_484"}] Chiral false false false
a(4_1 # 12a_485) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_485)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_485)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_485"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_485"}] Chiral true false false
a(4_1 # 12a_486) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_486)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_486)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_486"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_486"}] Chiral true false false
a(4_1 # 12a_487) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_487)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_487)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_487"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_487"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_487"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_487"}] Chiral false false false
a(4_1 # 12a_488) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_488)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_488)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_488"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_488"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_488"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_488"}] Chiral false false false
a(4_1 # 12a_489) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_489)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_489)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_489"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_489"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_489"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_489"}] Chiral false false false
a(4_1 # 12a_49) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_49)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_49)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_49"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_49"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_49"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_49"}] Chiral false false false
a(4_1 # 12a_490) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_490)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_490)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_490"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_490"}] Chiral true false false
a(4_1 # 12a_491) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_491)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_491)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_491"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_491"}] Chiral true false false
a(4_1 # 12a_492) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_492)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_492)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_492"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_492"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_492"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_492"}] Chiral false false false
a(4_1 # 12a_493) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_493)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_493)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_493"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_493"}] Chiral true false false
a(4_1 # 12a_494) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_494)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_494)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_494"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_494"}] Chiral true false false
a(4_1 # 12a_495) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_495)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_495)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_495"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_495"}] Chiral true false false
a(4_1 # 12a_496) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_496)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_496)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_496"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_496"}] Chiral true false false
a(4_1 # 12a_497) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_497)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_497)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_497"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_497"}] Chiral true false false
a(4_1 # 12a_498) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_498)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_498)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_498"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_498"}] Chiral true false false
a(4_1 # 12a_499) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_499)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_499"}] Fully amphichiral true true true

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"