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(3_1 # 12a_454) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_454)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_454)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_454"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_454"}] Chiral true false false
a(3_1 # 12a_455) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_455)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_455)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_455"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_455"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_455"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_455"}] Chiral false false false
a(3_1 # 12a_456) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_456)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_456)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_456"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_456"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_456"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_456"}] Chiral false false false
a(3_1 # 12a_457) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_457)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_457)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_457"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_457"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_457"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_457"}] Chiral false false false
a(3_1 # 12a_458) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_458)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_458)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_458"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_458"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_458"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_458"}] Chiral false false false
a(3_1 # 12a_459) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_459)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_459)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_459"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_459"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_459"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_459"}] Chiral false false false
a(3_1 # 12a_46) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_46)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_46)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_46"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_46"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_46"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_46"}] Chiral false false false
a(3_1 # 12a_460) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_460)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_460)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_460"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_460"}] Chiral true false false
a(3_1 # 12a_461) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_461)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_461)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_461"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_461"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_461"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_461"}] Chiral false false false
a(3_1 # 12a_462) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_462)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_462)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_462"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_462"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_462"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_462"}] Chiral false false false
a(3_1 # 12a_463) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_463)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_463)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_463"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_463"}] Chiral true false false
a(3_1 # 12a_464) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_464)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_464)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_464"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_464"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_464"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_464"}] Chiral false false false
a(3_1 # 12a_465) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_465)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_465)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_465"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_465"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_465"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_465"}] Chiral false false false
a(3_1 # 12a_466) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_466)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_466)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_466"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_466"}] Chiral true false false
a(3_1 # 12a_467) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_467)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_467)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_467"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_467"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_467"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_467"}] Chiral false false false
a(3_1 # 12a_468) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_468)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_468)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_468"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_468"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_468"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_468"}] Chiral false false false
a(3_1 # 12a_469) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_469)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_469)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_469"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_469"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_469"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_469"}] Chiral false false false
a(3_1 # 12a_47) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_47)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_47)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_47"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_47"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_47"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_47"}] Chiral false false false
a(3_1 # 12a_470) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_470)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_470)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_470"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_470"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_470"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_470"}] Chiral false false false
a(3_1 # 12a_471) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_471)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_471)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_471"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_471"}] Chiral true false false
a(3_1 # 12a_472) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_472)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_472)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_472"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_472"}] Chiral true false false
a(3_1 # 12a_473) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_473)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_473)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_473"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_473"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_473"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_473"}] Chiral false false false
a(3_1 # 12a_474) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_474)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_474)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_474"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_474"}] Chiral true false false
a(3_1 # 12a_475) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_475)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_475)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_475"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_475"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_475"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_475"}] Chiral false false false
a(3_1 # 12a_476) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_476)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_476)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_476"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_476"}] Chiral true false false
a(3_1 # 12a_477) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_477)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_477)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_477"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_477"}] Chiral true false false
a(3_1 # 12a_478) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_478)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_478)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_478"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_478"}] Chiral true false false
a(3_1 # 12a_479) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_479)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_479)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_479"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_479"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_479"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_479"}] Chiral false false false
a(3_1 # 12a_48) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_48)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_48)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_48"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_48"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_48"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_48"}] Chiral false false false
a(3_1 # 12a_480) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_480)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_480)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_480"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_480"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_480"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_480"}] Chiral false false false
a(3_1 # 12a_481) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_481)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_481)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_481"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_481"}] Chiral true false false
a(3_1 # 12a_482) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_482)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_482)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_482"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_482"}] Chiral true false false
a(3_1 # 12a_483) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_483)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_483)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_483"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_483"}] Chiral true false false
a(3_1 # 12a_484) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_484)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_484)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_484"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_484"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_484"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_484"}] Chiral false false false
a(3_1 # 12a_485) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_485)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_485)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_485"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_485"}] Chiral true false false
a(3_1 # 12a_486) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_486)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_486)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_486"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_486"}] Chiral true false false
a(3_1 # 12a_487) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_487)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_487)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_487"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_487"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_487"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_487"}] Chiral false false false
a(3_1 # 12a_488) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_488)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_488)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_488"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_488"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_488"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_488"}] Chiral false false false
a(3_1 # 12a_489) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_489)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_489)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_489"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_489"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_489"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_489"}] Chiral false false false
a(3_1 # 12a_49) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_49)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_49)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_49"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_49"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_49"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_49"}] Chiral false false false
a(3_1 # 12a_490) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_490)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_490)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_490"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_490"}] Chiral true false false
a(3_1 # 12a_491) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_491)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_491)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_491"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_491"}] Chiral true false false
a(3_1 # 12a_492) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_492)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_492)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_492"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_492"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_492"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_492"}] Chiral false false false
a(3_1 # 12a_493) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_493)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_493)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_493"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_493"}] Chiral true false false
a(3_1 # 12a_494) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_494)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_494)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_494"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_494"}] Chiral true false false
a(3_1 # 12a_495) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_495)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_495)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_495"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_495"}] Chiral true false false
a(3_1 # 12a_496) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_496)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_496)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_496"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_496"}] Chiral true false false
a(3_1 # 12a_497) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_497)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_497)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_497"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_497"}] Chiral true false false
a(3_1 # 12a_498) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_498)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_498)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_498"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_498"}] Chiral true false false
a(3_1 # 12a_499) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_499)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_499)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_499"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_499"}] Chiral true false false
a(3_1 # 12a_5) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_5)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_5)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_5"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_5"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_5"}] Chiral false false false
a(3_1 # 12a_50) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_50)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_50)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_50"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_50"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_50"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_50"}] Chiral false false false
a(3_1 # 12a_500) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_500)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_500)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_500"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_500"}] Chiral true false false
a(3_1 # 12a_501) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_501)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_501)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_501"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_501"}] Chiral true false false
a(3_1 # 12a_502) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_502)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_502)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_502"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_502"}] Chiral true false false
a(3_1 # 12a_503) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_503)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_503)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_503"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_503"}] Chiral true false false
a(3_1 # 12a_504) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_504)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_504)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_504"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_504"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_504"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_504"}] Chiral false false false
a(3_1 # 12a_505) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_505)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_505)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_505"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_505"}] Chiral true false false
a(3_1 # 12a_506) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_506)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_506)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_506"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_506"}] Chiral true false false
a(3_1 # 12a_507) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_507)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_507)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_507"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_507"}] Chiral true false false
a(3_1 # 12a_508) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_508)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_508)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_508"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_508"}] Chiral true false false
a(3_1 # 12a_509) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_509)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_509)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_509"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_509"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_509"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_509"}] Chiral false false false
a(3_1 # 12a_51) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_51)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_51)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_51"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_51"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_51"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_51"}] Chiral false false false
a(3_1 # 12a_510) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_510)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_510)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_510"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_510"}] Chiral true false false
a(3_1 # 12a_511) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_511)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_511)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_511"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_511"}] Chiral true false false
a(3_1 # 12a_512) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_512)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_512)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_512"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_512"}] Chiral true false false
a(3_1 # 12a_513) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_513)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_513)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_513"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_513"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_513"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_513"}] Chiral false false false
a(3_1 # 12a_514) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_514)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_514)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_514"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_514"}] Chiral true false false
a(3_1 # 12a_515) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_515)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_515)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_515"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_515"}] Chiral true false false
a(3_1 # 12a_516) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_516)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_516)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_516"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_516"}] Chiral true false false
a(3_1 # 12a_517) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_517)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_517)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_517"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_517"}] Chiral true false false
a(3_1 # 12a_518) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_518)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_518)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_518"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_518"}] Chiral true false false
a(3_1 # 12a_519) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_519)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_519)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_519"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_519"}] Chiral true false false
a(3_1 # 12a_52) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_52)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_52)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_52"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_52"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_52"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_52"}] Chiral false false false
a(3_1 # 12a_520) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_520)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_520)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_520"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_520"}] Chiral true false false
a(3_1 # 12a_521) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_521)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_521)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_521"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_521"}] Chiral true false false
a(3_1 # 12a_522) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_522)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_522)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_522"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_522"}] Chiral true false false
a(3_1 # 12a_523) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_523)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_523)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_523"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_523"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_523"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_523"}] Chiral false false false
a(3_1 # 12a_524) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_524)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_524)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_524"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_524"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_524"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_524"}] Chiral false false false
a(3_1 # 12a_525) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_525)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_525)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_525"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_525"}] Chiral true false false
a(3_1 # 12a_526) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_526)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_526)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_526"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_526"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_526"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_526"}] Chiral false false false
a(3_1 # 12a_527) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_527)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_527)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_527"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_527"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_527"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_527"}] Chiral false false false
a(3_1 # 12a_528) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_528)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_528)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_528"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_528"}] Chiral true false false
a(3_1 # 12a_529) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_529)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_529)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_529"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_529"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_529"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_529"}] Chiral false false false
a(3_1 # 12a_53) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_53)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_53)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_53"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_53"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_53"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_53"}] Chiral false false false
a(3_1 # 12a_530) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_530)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_530)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_530"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_530"}] Chiral true false false
a(3_1 # 12a_531) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_531)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_531)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_531"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_531"}] Chiral true false false
a(3_1 # 12a_532) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_532)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_532)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_532"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_532"}] Chiral true false false
a(3_1 # 12a_533) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_533)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_533)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_533"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_533"}] Chiral true false false
a(3_1 # 12a_534) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_534)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_534)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_534"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_534"}] Chiral true false false
a(3_1 # 12a_535) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_535)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_535)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_535"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_535"}] Chiral true false false
a(3_1 # 12a_536) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_536)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_536)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_536"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_536"}] Chiral true false false
a(3_1 # 12a_537) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_537)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_537)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_537"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_537"}] Chiral true false false
a(3_1 # 12a_538) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_538)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_538)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_538"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_538"}] Chiral true false false
a(3_1 # 12a_539) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_539)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_539)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_539"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_539"}] Chiral true false false
a(3_1 # 12a_54) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_54)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_54)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_54"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_54"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_54"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_54"}] Chiral false false false
a(3_1 # 12a_540) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_540)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_540)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_540"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_540"}] Chiral true false false
a(3_1 # 12a_541) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_541)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_541)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_541"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_541"}] Chiral true false false
a(3_1 # 12a_542) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_542)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_542)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_542"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_542"}] Chiral true false false
a(3_1 # 12a_543) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_543)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_543)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_543"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_543"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_543"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_543"}] 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"