{ "started_utc": "2026-10-08T20:27:31.651369+00:00", "finished_utc": "2026-10-08T20:29:49.863118+00:00", "passed": 11148, "checks": [ "normal gamma Hermitian 0", "normal Clifford metric 0/0", "normal Clifford metric 0/1", "normal Clifford metric 0/2", "normal Clifford metric 0/3", "normal Clifford metric 0/4", "normal Clifford metric 0/5", "normal gamma Hermitian 1", "normal Clifford metric 1/0", "normal Clifford metric 1/1", "normal Clifford metric 1/2", "normal Clifford metric 1/3", "normal Clifford metric 1/4", "normal Clifford metric 1/5", "normal gamma Hermitian 2", "normal Clifford metric 2/0", "normal Clifford metric 2/1", "normal Clifford metric 2/2", "normal Clifford metric 2/3", "normal Clifford metric 2/4", "normal Clifford metric 2/5", "normal gamma Hermitian 3", "normal Clifford metric 3/0", "normal Clifford metric 3/1", "normal Clifford metric 3/2", "normal Clifford metric 3/3", "normal Clifford metric 3/4", "normal Clifford metric 3/5", "normal gamma Hermitian 4", "normal Clifford metric 4/0", "normal Clifford metric 4/1", "normal Clifford metric 4/2", "normal Clifford metric 4/3", "normal Clifford metric 4/4", "normal Clifford metric 4/5", "normal gamma Hermitian 5", "normal Clifford metric 5/0", "normal Clifford metric 5/1", "normal Clifford metric 5/2", "normal Clifford metric 5/3", "normal Clifford metric 5/4", "normal Clifford metric 5/5", "changed carrier complex structure squares minus one", "changed carrier odd Clifford anti-linear 0", "changed carrier even Clifford linear 0/0", "changed carrier even Clifford linear 0/1", "changed carrier even Clifford linear 0/2", "changed carrier even Clifford linear 0/3", "changed carrier even Clifford linear 0/4", "changed carrier even Clifford linear 0/5", "changed carrier odd Clifford anti-linear 1", "changed carrier even Clifford linear 1/0", "changed carrier even Clifford linear 1/1", "changed carrier even Clifford linear 1/2", "changed carrier even Clifford linear 1/3", "changed carrier even Clifford linear 1/4", "changed carrier even Clifford linear 1/5", "changed carrier odd Clifford anti-linear 2", "changed carrier even Clifford linear 2/0", "changed carrier even Clifford linear 2/1", "changed carrier even Clifford linear 2/2", "changed carrier even Clifford linear 2/3", "changed carrier even Clifford linear 2/4", "changed carrier even Clifford linear 2/5", "changed carrier odd Clifford anti-linear 3", "changed carrier even Clifford linear 3/0", "changed carrier even Clifford linear 3/1", "changed carrier even Clifford linear 3/2", "changed carrier even Clifford linear 3/3", "changed carrier even Clifford linear 3/4", "changed carrier even Clifford linear 3/5", "changed carrier odd Clifford anti-linear 4", "changed carrier even Clifford linear 4/0", "changed carrier even Clifford linear 4/1", "changed carrier even Clifford linear 4/2", "changed carrier even Clifford linear 4/3", "changed carrier even Clifford linear 4/4", "changed carrier even Clifford linear 4/5", "changed carrier odd Clifford anti-linear 5", "changed carrier even Clifford linear 5/0", "changed carrier even Clifford linear 5/1", "changed carrier even Clifford linear 5/2", "changed carrier even Clifford linear 5/3", "changed carrier even Clifford linear 5/4", "changed carrier even Clifford linear 5/5", "completion matter compression zero 0", "completion chiral symbol norm 0", "completion matter compression zero 1", "completion chiral symbol norm 1", "completion matter compression zero 2", "completion chiral symbol norm 2", "completion matter compression zero 3", "completion chiral symbol norm 3", "completion matter compression zero 4", "completion chiral symbol norm 4", "completion matter compression zero 5", "completion chiral symbol norm 5", "completion mixed chiral symbol metric", "matter weights retained", "complement has conjugate weights", "central charge rotates normal symbol 0", "central fibre charge not full kinetic commutant 0", "central charge rotates normal symbol 1", "central fibre charge not full kinetic commutant 1", "central charge rotates normal symbol 2", "central fibre charge not full kinetic commutant 2", "central charge rotates normal symbol 3", "central fibre charge not full kinetic commutant 3", "central charge rotates normal symbol 4", "central fibre charge not full kinetic commutant 4", "central charge rotates normal symbol 5", "central fibre charge not full kinetic commutant 5", "charge carrier first Chern character zero", "charge carrier second Chern character", "charge carrier third Chern character equals minus normal Euler", "tangent projector Hermitian 2", "tangent projector idempotent 2", "tangent projector minimal rank 2", "tangent Clifford invariant 2/0", "tangent Clifford invariant 2/1", "tangent projector Hermitian 3", "tangent projector idempotent 3", "tangent projector minimal rank 3", "tangent Clifford invariant 3/0", "tangent Clifford invariant 3/1", "tangent Clifford invariant 3/2", "tangent projector Hermitian 4", "tangent projector idempotent 4", "tangent projector minimal rank 4", "tangent Clifford invariant 4/0", "tangent Clifford invariant 4/1", "tangent Clifford invariant 4/2", "tangent Clifford invariant 4/3", "tangent projector Hermitian 5", "tangent projector idempotent 5", "tangent projector minimal rank 5", "tangent Clifford invariant 5/0", "tangent Clifford invariant 5/1", "tangent Clifford invariant 5/2", "tangent Clifford invariant 5/3", "tangent Clifford invariant 5/4", "tangent projector Hermitian 6", "tangent projector idempotent 6", "tangent projector minimal rank 6", "tangent Clifford invariant 6/0", "tangent Clifford invariant 6/1", "tangent Clifford invariant 6/2", "tangent Clifford invariant 6/3", "tangent Clifford invariant 6/4", "tangent Clifford invariant 6/5", "tangent projector Hermitian 10", "tangent projector idempotent 10", "tangent projector minimal rank 10", "tangent Clifford invariant 10/0", "tangent Clifford invariant 10/1", "tangent Clifford invariant 10/2", "tangent Clifford invariant 10/3", "tangent Clifford invariant 10/4", "tangent Clifford invariant 10/5", "tangent Clifford invariant 10/6", "tangent Clifford invariant 10/7", "tangent Clifford invariant 10/8", "tangent Clifford invariant 10/9", "full flag Clifford commutant dimensions", "nested minimal fibre projector 3", "nested minimal fibre projector 4", "nested minimal fibre projector 5", "nested minimal fibre projector 6", "nested minimal fibre projector 10", "odd tangent sign normal selection 3/3", "odd tangent sign normal selection 3/4", "odd tangent sign normal selection 3/5", "odd tangent sign normal selection 3/6", "odd tangent sign normal selection 3/7", "odd tangent sign normal selection 3/8", "odd tangent sign normal selection 3/9", "even normal product preserves odd sign 3", "odd tangent sign normal selection 5/5", "odd tangent sign normal selection 5/6", "odd tangent sign normal selection 5/7", "odd tangent sign normal selection 5/8", "odd tangent sign normal selection 5/9", "even normal product preserves odd sign 5", "even tangent Weyl compression loses symbol 2", "even tangent Weyl compression loses symbol 4", "even tangent Weyl compression loses symbol 6", "even tangent Weyl compression loses symbol 10", "compression defect equals squared leakage 2/0", "compression defect equals squared leakage 2/1", "compression defect equals squared leakage 3/0", "compression defect equals squared leakage 3/1", "compression defect equals squared leakage 3/2", "compression defect equals squared leakage 4/0", "compression defect equals squared leakage 4/1", "compression defect equals squared leakage 4/2", "compression defect equals squared leakage 4/3", "compression defect equals squared leakage 5/0", "compression defect equals squared leakage 5/1", "compression defect equals squared leakage 5/2", "compression defect equals squared leakage 5/3", "compression defect equals squared leakage 5/4", "compression defect equals squared leakage 6/0", "compression defect equals squared leakage 6/1", "compression defect equals squared leakage 6/2", "compression defect equals squared leakage 6/3", "compression defect equals squared leakage 6/4", "compression defect equals squared leakage 6/5", "compression defect equals squared leakage 10/0", "compression defect equals squared leakage 10/1", "compression defect equals squared leakage 10/2", "compression defect equals squared leakage 10/3", "compression defect equals squared leakage 10/4", "compression defect equals squared leakage 10/5", "compression defect equals squared leakage 10/6", "compression defect equals squared leakage 10/7", "compression defect equals squared leakage 10/8", "compression defect equals squared leakage 10/9", "noninvariant projector has positive compression defect", "unitary generator normalization 0/0", "unitary generator normalization 0/1", "unitary generator normalization 0/2", "unitary generator normalization 0/3", "unitary generator normalization 0/4", "unitary generator normalization 0/5", "unitary generator normalization 0/6", "unitary generator normalization 0/7", "unitary generator normalization 0/8", "unitary generator normalization 1/0", "unitary generator normalization 1/1", "unitary generator normalization 1/2", "unitary generator normalization 1/3", "unitary generator normalization 1/4", "unitary generator normalization 1/5", "unitary generator normalization 1/6", "unitary generator normalization 1/7", "unitary generator normalization 1/8", "unitary generator normalization 2/0", "unitary generator normalization 2/1", "unitary generator normalization 2/2", "unitary generator normalization 2/3", "unitary generator normalization 2/4", "unitary generator normalization 2/5", "unitary generator normalization 2/6", "unitary generator normalization 2/7", "unitary generator normalization 2/8", "unitary generator normalization 3/0", "unitary generator normalization 3/1", "unitary generator normalization 3/2", "unitary generator normalization 3/3", "unitary generator normalization 3/4", "unitary generator normalization 3/5", "unitary generator normalization 3/6", "unitary generator normalization 3/7", "unitary generator normalization 3/8", "unitary generator normalization 4/0", "unitary generator normalization 4/1", "unitary generator normalization 4/2", "unitary generator normalization 4/3", "unitary generator normalization 4/4", "unitary generator normalization 4/5", "unitary generator normalization 4/6", "unitary generator normalization 4/7", "unitary generator normalization 4/8", "unitary generator normalization 5/0", "unitary generator normalization 5/1", "unitary generator normalization 5/2", "unitary generator normalization 5/3", "unitary generator normalization 5/4", "unitary generator normalization 5/5", "unitary generator normalization 5/6", "unitary generator normalization 5/7", "unitary generator normalization 5/8", "unitary generator normalization 6/0", "unitary generator normalization 6/1", "unitary generator normalization 6/2", "unitary generator normalization 6/3", "unitary generator normalization 6/4", "unitary generator normalization 6/5", "unitary generator normalization 6/6", "unitary generator normalization 6/7", "unitary generator normalization 6/8", "unitary generator normalization 7/0", "unitary generator normalization 7/1", "unitary generator normalization 7/2", "unitary generator normalization 7/3", "unitary generator normalization 7/4", "unitary generator normalization 7/5", "unitary generator normalization 7/6", "unitary generator normalization 7/7", "unitary generator normalization 7/8", "unitary generator normalization 8/0", "unitary generator normalization 8/1", "unitary generator normalization 8/2", "unitary generator normalization 8/3", "unitary generator normalization 8/4", "unitary generator normalization 8/5", "unitary generator normalization 8/6", "unitary generator normalization 8/7", "unitary generator normalization 8/8", "plane Kaehler invariant 0", "plane leakage Casimir 0", "plane central leakage 0", "line-plane stabilizer dimension 0", "plane Kaehler invariant 3/5", "plane leakage Casimir 3/5", "plane central leakage 3/5", "line-plane stabilizer dimension 3/5", "plane Kaehler invariant 1", "plane leakage Casimir 1", "plane central leakage 1", "line-plane stabilizer dimension 1", "line leakage Casimir three", "induced contact volume Schur identity [0]", "induced contact volume nondecrease [0]", "induced contact volume Schur identity [0, 3]", "induced contact volume nondecrease [0, 3]", "induced contact volume Schur identity [0, 1]", "induced contact volume nondecrease [0, 1]", "induced contact volume Schur identity [0, 1, 2, 3, 4, 5]", "induced contact volume nondecrease [0, 1, 2, 3, 4, 5]", "central real-line measure correction", "normal curvature Lie span full u3", "spin and branch factor recover charge weights", "spin factor traceless", "branch factor traceless", "common factor ladder charge difference", "common factor ladder squared zero", "common factor ladder anticommutator", "common multiplicity ladder Clifford scalar 0", "common multiplicity ladder Clifford scalar 1", "common multiplicity ladder Clifford scalar 2", "common multiplicity ladder Clifford scalar 3", "common multiplicity ladder Clifford scalar 4", "common multiplicity ladder Clifford scalar 5", "separately tuned chiral ladder not Clifford scalar", "root-free positive chiral rank eight", "root-free common charge table", "Spin-h even carrier rank 1", "Spin-h carrier trace control 1", "Spin-h even carrier rank 2", "Spin-h carrier trace control 2", "Spin-h even carrier rank 3", "Spin-h carrier trace control 3", "Spin-h even carrier rank 4", "Spin-h carrier trace control 4", "Spin-h even carrier rank 5", "Spin-h carrier trace control 5", "Spin-h even carrier rank 6", "Spin-h carrier trace control 6", "sharp curvature exact excess 3/1", "sharp curvature nonnegative excess 3/1", "sharp curvature equality control 3/1", "sharp curvature exact excess 3/2", "sharp curvature nonnegative excess 3/2", "sharp curvature equality control 3/2", "sharp curvature exact excess 4/1", "sharp curvature nonnegative excess 4/1", "sharp curvature equality control 4/1", "sharp curvature exact excess 4/2", "sharp curvature nonnegative excess 4/2", "sharp curvature equality control 4/2", "rank two projective discriminant roots", "S2 times S2 discriminant nonzero", "transverse vector geometry 0", "helicity projector Hermitian 0/1", "helicity projector idempotent 0/1", "helicity projector rank one 0/1", "helicity projector Hermitian 0/-1", "helicity projector idempotent 0/-1", "helicity projector rank one 0/-1", "opposite helicity orthogonality 0", "transverse vector geometry 1", "helicity projector Hermitian 1/1", "helicity projector idempotent 1/1", "helicity projector rank one 1/1", "helicity projector Hermitian 1/-1", "helicity projector idempotent 1/-1", "helicity projector rank one 1/-1", "opposite helicity orthogonality 1", "transverse vector geometry 2", "helicity projector Hermitian 2/1", "helicity projector idempotent 2/1", "helicity projector rank one 2/1", "helicity projector Hermitian 2/-1", "helicity projector idempotent 2/-1", "helicity projector rank one 2/-1", "opposite helicity orthogonality 2", "spinor square direction unit 0", "spinor square transverse 0", "spinor square null polarization 0", "spinor square unit norm 0", "spinor square circular helicity 0", "spinor square phase doubling 0", "spinor square direction unit 1", "spinor square transverse 1", "spinor square null polarization 1", "spinor square unit norm 1", "spinor square circular helicity 1", "spinor square phase doubling 1", "spinor square direction unit 2", "spinor square transverse 2", "spinor square null polarization 2", "spinor square unit norm 2", "spinor square circular helicity 2", "spinor square phase doubling 2", "spinor square direction unit 3", "spinor square transverse 3", "spinor square null polarization 3", "spinor square unit norm 3", "spinor square circular helicity 3", "spinor square phase doubling 3", "Stokes pure state identity 0", "Stokes circular fraction 0", "Stokes pure state identity 1", "Stokes circular fraction 1", "Stokes pure state identity 2", "Stokes circular fraction 2", "Stokes pure state identity 3", "Stokes circular fraction 3", "Berry phase doubles under spinor square", "spinor Berry flux one", "vector Berry flux two", "common determinant ladder square zero", "ladder reduced incoming norm", "ladder reduced outgoing norm", "ladder Clifford-like anticommutator", "normalized charge ladder difference", "color trace strength ratio", "determinant equivariance generator 0", "W vector equivariance 0/0", "W dual vector equivariance 0/0", "W vector equivariance 0/1", "W dual vector equivariance 0/1", "W vector equivariance 0/2", "W dual vector equivariance 0/2", "determinant equivariance generator 1", "W vector equivariance 1/0", "W dual vector equivariance 1/0", "W vector equivariance 1/1", "W dual vector equivariance 1/1", "W vector equivariance 1/2", "W dual vector equivariance 1/2", "determinant equivariance generator 2", "W vector equivariance 2/0", "W dual vector equivariance 2/0", "W vector equivariance 2/1", "W dual vector equivariance 2/1", "W vector equivariance 2/2", "W dual vector equivariance 2/2", "determinant equivariance generator 3", "W vector equivariance 3/0", "W dual vector equivariance 3/0", "W vector equivariance 3/1", "W dual vector equivariance 3/1", "W vector equivariance 3/2", "W dual vector equivariance 3/2", "determinant equivariance generator 4", "W vector equivariance 4/0", "W dual vector equivariance 4/0", "W vector equivariance 4/1", "W dual vector equivariance 4/1", "W vector equivariance 4/2", "W dual vector equivariance 4/2", "determinant equivariance generator 5", "W vector equivariance 5/0", "W dual vector equivariance 5/0", "W vector equivariance 5/1", "W dual vector equivariance 5/1", "W vector equivariance 5/2", "W dual vector equivariance 5/2", "determinant equivariance generator 6", "W vector equivariance 6/0", "W dual vector equivariance 6/0", "W vector equivariance 6/1", "W dual vector equivariance 6/1", "W vector equivariance 6/2", "W dual vector equivariance 6/2", "determinant equivariance generator 7", "W vector equivariance 7/0", "W dual vector equivariance 7/0", "W vector equivariance 7/1", "W dual vector equivariance 7/1", "W vector equivariance 7/2", "W dual vector equivariance 7/2", "determinant equivariance generator 8", "W vector equivariance 8/0", "W dual vector equivariance 8/0", "W vector equivariance 8/1", "W dual vector equivariance 8/1", "W vector equivariance 8/2", "W dual vector equivariance 8/2", "normal vector common kernel 0", "normal vector fails full Clifford 0", "normal vector common kernel 1", "normal vector fails full Clifford 1", "normal vector common kernel 2", "normal vector fails full Clifford 2", "scalar U3 contact dimension four", "determinant U3 contact dimension two", "inverse determinant U3 contact dimension two", "central holonomy commutant dimension twenty", "oriented compatible line-plane flag scalar commutant dimension eight", "oriented compatible line-plane flag determinant contact dimension five", "unoriented compatible line-plane flag scalar commutant dimension six", "unoriented compatible line-plane flag determinant contact dimension three", "lifted full fibre character dimension", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s0", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s0", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s1", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s1", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s2", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s2", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s3", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s3", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s4", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s4", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s5", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s5", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s6", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s6", "lifted [M,D] n0 a(0, 0, 0, 0, 0, 0) s7", "lifted [M,X] n0 a(0, 0, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n0 a(0, 0, 0, 0, 0, 0) s7", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s0", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s0", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s1", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s1", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s2", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s2", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s3", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s3", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s4", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s4", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s5", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s5", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s6", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s6", "lifted [M,D] n1 a(0, 0, 0, 0, 0, 1) s7", "lifted [M,X] n1 a(0, 0, 0, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 0, 1) s7", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s0", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s0", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s1", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s1", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s2", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s2", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s3", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s3", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s4", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s4", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s5", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s5", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s6", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s6", "lifted [M,D] n1 a(0, 0, 0, 0, 1, 0) s7", "lifted [M,X] n1 a(0, 0, 0, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 0, 1, 0) s7", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s0", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s0", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s1", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s1", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s2", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s2", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s3", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s3", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s4", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s4", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s5", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s5", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s6", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s6", "lifted [M,D] n1 a(0, 0, 0, 1, 0, 0) s7", "lifted [M,X] n1 a(0, 0, 0, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n1 a(0, 0, 0, 1, 0, 0) s7", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s0", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s0", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s1", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s1", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s2", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s2", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s3", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s3", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s4", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s4", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s5", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s5", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s6", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s6", "lifted [M,D] n1 a(0, 0, 1, 0, 0, 0) s7", "lifted [M,X] n1 a(0, 0, 1, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n1 a(0, 0, 1, 0, 0, 0) s7", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s0", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s0", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s1", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s1", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s2", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s2", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s3", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s3", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s4", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s4", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s5", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s5", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s6", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s6", "lifted [M,D] n1 a(0, 1, 0, 0, 0, 0) s7", "lifted [M,X] n1 a(0, 1, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n1 a(0, 1, 0, 0, 0, 0) s7", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s0", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s0", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s1", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s1", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s2", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s2", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s3", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s3", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s4", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s4", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s5", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s5", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s6", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s6", "lifted [M,D] n1 a(1, 0, 0, 0, 0, 0) s7", "lifted [M,X] n1 a(1, 0, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n1 a(1, 0, 0, 0, 0, 0) s7", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s0", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s0", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s1", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s1", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s2", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s2", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s3", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s3", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s4", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s4", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s5", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s5", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s6", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s6", "lifted [M,D] n2 a(0, 0, 0, 0, 0, 2) s7", "lifted [M,X] n2 a(0, 0, 0, 0, 0, 2) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 0, 2) s7", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s0", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s0", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s1", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s1", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s2", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s2", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s3", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s3", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s4", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s4", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s5", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s5", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s6", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s6", "lifted [M,D] n2 a(0, 0, 0, 0, 1, 1) s7", "lifted [M,X] n2 a(0, 0, 0, 0, 1, 1) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 1, 1) s7", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s0", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s0", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s1", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s1", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s2", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s2", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s3", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s3", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s4", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s4", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s5", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s5", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s6", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s6", "lifted [M,D] n2 a(0, 0, 0, 0, 2, 0) s7", "lifted [M,X] n2 a(0, 0, 0, 0, 2, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 0, 2, 0) s7", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s0", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s0", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s1", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s1", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s2", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s2", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s3", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s3", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s4", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s4", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s5", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s5", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s6", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s6", "lifted [M,D] n2 a(0, 0, 0, 1, 0, 1) s7", "lifted [M,X] n2 a(0, 0, 0, 1, 0, 1) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 0, 1) s7", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s0", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s0", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s1", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s1", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s2", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s2", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s3", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s3", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s4", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s4", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s5", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s5", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s6", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s6", "lifted [M,D] n2 a(0, 0, 0, 1, 1, 0) s7", "lifted [M,X] n2 a(0, 0, 0, 1, 1, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 1, 1, 0) s7", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s0", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s0", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s1", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s1", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s2", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s2", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s3", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s3", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s4", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s4", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s5", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s5", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s6", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s6", "lifted [M,D] n2 a(0, 0, 0, 2, 0, 0) s7", "lifted [M,X] n2 a(0, 0, 0, 2, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 0, 2, 0, 0) s7", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s0", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s0", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s1", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s1", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s2", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s2", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s3", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s3", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s4", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s4", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s5", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s5", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s6", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s6", "lifted [M,D] n2 a(0, 0, 1, 0, 0, 1) s7", "lifted [M,X] n2 a(0, 0, 1, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 0, 1) s7", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s0", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s0", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s1", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s1", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s2", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s2", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s3", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s3", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s4", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s4", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s5", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s5", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s6", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s6", "lifted [M,D] n2 a(0, 0, 1, 0, 1, 0) s7", "lifted [M,X] n2 a(0, 0, 1, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 0, 1, 0) s7", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s0", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s0", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s1", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s1", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s2", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s2", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s3", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s3", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s4", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s4", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s5", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s5", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s6", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s6", "lifted [M,D] n2 a(0, 0, 1, 1, 0, 0) s7", "lifted [M,X] n2 a(0, 0, 1, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 1, 1, 0, 0) s7", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s0", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s0", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s1", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s1", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s2", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s2", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s3", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s3", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s4", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s4", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s5", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s5", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s6", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s6", "lifted [M,D] n2 a(0, 0, 2, 0, 0, 0) s7", "lifted [M,X] n2 a(0, 0, 2, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 0, 2, 0, 0, 0) s7", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s0", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s0", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s1", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s1", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s2", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s2", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s3", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s3", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s4", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s4", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s5", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s5", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s6", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s6", "lifted [M,D] n2 a(0, 1, 0, 0, 0, 1) s7", "lifted [M,X] n2 a(0, 1, 0, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 0, 1) s7", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s0", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s0", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s1", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s1", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s2", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s2", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s3", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s3", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s4", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s4", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s5", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s5", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s6", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s6", "lifted [M,D] n2 a(0, 1, 0, 0, 1, 0) s7", "lifted [M,X] n2 a(0, 1, 0, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 0, 1, 0) s7", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s0", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s0", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s1", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s1", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s2", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s2", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s3", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s3", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s4", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s4", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s5", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s5", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s6", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s6", "lifted [M,D] n2 a(0, 1, 0, 1, 0, 0) s7", "lifted [M,X] n2 a(0, 1, 0, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 1, 0, 1, 0, 0) s7", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s0", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s0", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s1", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s1", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s2", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s2", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s3", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s3", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s4", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s4", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s5", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s5", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s6", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s6", "lifted [M,D] n2 a(0, 1, 1, 0, 0, 0) s7", "lifted [M,X] n2 a(0, 1, 1, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 1, 1, 0, 0, 0) s7", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s0", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s0", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s1", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s1", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s2", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s2", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s3", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s3", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s4", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s4", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s5", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s5", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s6", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s6", "lifted [M,D] n2 a(0, 2, 0, 0, 0, 0) s7", "lifted [M,X] n2 a(0, 2, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(0, 2, 0, 0, 0, 0) s7", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s0", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s0", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s1", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s1", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s2", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s2", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s3", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s3", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s4", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s4", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s5", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s5", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s6", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s6", "lifted [M,D] n2 a(1, 0, 0, 0, 0, 1) s7", "lifted [M,X] n2 a(1, 0, 0, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 0, 1) s7", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s0", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s0", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s1", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s1", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s2", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s2", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s3", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s3", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s4", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s4", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s5", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s5", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s6", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s6", "lifted [M,D] n2 a(1, 0, 0, 0, 1, 0) s7", "lifted [M,X] n2 a(1, 0, 0, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 0, 1, 0) s7", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s0", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s0", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s1", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s1", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s2", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s2", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s3", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s3", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s4", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s4", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s5", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s5", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s6", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s6", "lifted [M,D] n2 a(1, 0, 0, 1, 0, 0) s7", "lifted [M,X] n2 a(1, 0, 0, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(1, 0, 0, 1, 0, 0) s7", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s0", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s0", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s1", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s1", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s2", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s2", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s3", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s3", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s4", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s4", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s5", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s5", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s6", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s6", "lifted [M,D] n2 a(1, 0, 1, 0, 0, 0) s7", "lifted [M,X] n2 a(1, 0, 1, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(1, 0, 1, 0, 0, 0) s7", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s0", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s0", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s1", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s1", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s2", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s2", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s3", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s3", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s4", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s4", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s5", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s5", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s6", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s6", "lifted [M,D] n2 a(1, 1, 0, 0, 0, 0) s7", "lifted [M,X] n2 a(1, 1, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(1, 1, 0, 0, 0, 0) s7", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s0", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s0", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s1", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s1", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s2", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s2", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s3", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s3", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s4", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s4", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s5", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s5", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s6", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s6", "lifted [M,D] n2 a(2, 0, 0, 0, 0, 0) s7", "lifted [M,X] n2 a(2, 0, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n2 a(2, 0, 0, 0, 0, 0) s7", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s0", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s0", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s1", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s1", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s2", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s2", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s3", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s3", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s4", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s4", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s5", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s5", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s6", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s6", "lifted [M,D] n3 a(0, 0, 0, 0, 0, 3) s7", "lifted [M,X] n3 a(0, 0, 0, 0, 0, 3) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 0, 3) s7", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s0", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s0", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s1", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s1", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s2", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s2", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s3", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s3", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s4", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s4", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s5", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s5", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s6", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s6", "lifted [M,D] n3 a(0, 0, 0, 0, 1, 2) s7", "lifted [M,X] n3 a(0, 0, 0, 0, 1, 2) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 1, 2) s7", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s0", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s0", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s1", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s1", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s2", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s2", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s3", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s3", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s4", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s4", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s5", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s5", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s6", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s6", "lifted [M,D] n3 a(0, 0, 0, 0, 2, 1) s7", "lifted [M,X] n3 a(0, 0, 0, 0, 2, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 2, 1) s7", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s0", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s0", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s1", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s1", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s2", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s2", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s3", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s3", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s4", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s4", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s5", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s5", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s6", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s6", "lifted [M,D] n3 a(0, 0, 0, 0, 3, 0) s7", "lifted [M,X] n3 a(0, 0, 0, 0, 3, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 0, 3, 0) s7", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s0", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s0", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s1", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s1", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s2", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s2", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s3", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s3", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s4", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s4", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s5", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s5", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s6", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s6", "lifted [M,D] n3 a(0, 0, 0, 1, 0, 2) s7", "lifted [M,X] n3 a(0, 0, 0, 1, 0, 2) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 0, 2) s7", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s0", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s0", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s1", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s1", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s2", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s2", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s3", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s3", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s4", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s4", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s5", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s5", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s6", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s6", "lifted [M,D] n3 a(0, 0, 0, 1, 1, 1) s7", "lifted [M,X] n3 a(0, 0, 0, 1, 1, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 1, 1) s7", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s0", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s0", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s1", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s1", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s2", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s2", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s3", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s3", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s4", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s4", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s5", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s5", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s6", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s6", "lifted [M,D] n3 a(0, 0, 0, 1, 2, 0) s7", "lifted [M,X] n3 a(0, 0, 0, 1, 2, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 1, 2, 0) s7", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s0", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s0", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s1", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s1", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s2", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s2", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s3", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s3", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s4", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s4", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s5", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s5", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s6", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s6", "lifted [M,D] n3 a(0, 0, 0, 2, 0, 1) s7", "lifted [M,X] n3 a(0, 0, 0, 2, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 0, 1) s7", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s0", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s0", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s1", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s1", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s2", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s2", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s3", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s3", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s4", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s4", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s5", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s5", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s6", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s6", "lifted [M,D] n3 a(0, 0, 0, 2, 1, 0) s7", "lifted [M,X] n3 a(0, 0, 0, 2, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 2, 1, 0) s7", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s0", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s0", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s1", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s1", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s2", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s2", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s3", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s3", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s4", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s4", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s5", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s5", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s6", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s6", "lifted [M,D] n3 a(0, 0, 0, 3, 0, 0) s7", "lifted [M,X] n3 a(0, 0, 0, 3, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 0, 3, 0, 0) s7", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s0", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s0", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s1", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s1", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s2", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s2", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s3", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s3", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s4", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s4", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s5", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s5", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s6", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s6", "lifted [M,D] n3 a(0, 0, 1, 0, 0, 2) s7", "lifted [M,X] n3 a(0, 0, 1, 0, 0, 2) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 0, 2) s7", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s0", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s0", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s1", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s1", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s2", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s2", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s3", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s3", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s4", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s4", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s5", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s5", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s6", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s6", "lifted [M,D] n3 a(0, 0, 1, 0, 1, 1) s7", "lifted [M,X] n3 a(0, 0, 1, 0, 1, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 1, 1) s7", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s0", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s0", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s1", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s1", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s2", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s2", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s3", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s3", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s4", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s4", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s5", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s5", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s6", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s6", "lifted [M,D] n3 a(0, 0, 1, 0, 2, 0) s7", "lifted [M,X] n3 a(0, 0, 1, 0, 2, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 0, 2, 0) s7", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s0", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s0", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s1", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s1", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s2", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s2", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s3", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s3", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s4", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s4", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s5", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s5", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s6", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s6", "lifted [M,D] n3 a(0, 0, 1, 1, 0, 1) s7", "lifted [M,X] n3 a(0, 0, 1, 1, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 0, 1) s7", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s0", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s0", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s1", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s1", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s2", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s2", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s3", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s3", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s4", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s4", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s5", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s5", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s6", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s6", "lifted [M,D] n3 a(0, 0, 1, 1, 1, 0) s7", "lifted [M,X] n3 a(0, 0, 1, 1, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 1, 1, 0) s7", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s0", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s0", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s1", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s1", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s2", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s2", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s3", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s3", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s4", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s4", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s5", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s5", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s6", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s6", "lifted [M,D] n3 a(0, 0, 1, 2, 0, 0) s7", "lifted [M,X] n3 a(0, 0, 1, 2, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 1, 2, 0, 0) s7", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s0", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s0", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s1", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s1", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s2", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s2", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s3", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s3", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s4", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s4", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s5", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s5", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s6", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s6", "lifted [M,D] n3 a(0, 0, 2, 0, 0, 1) s7", "lifted [M,X] n3 a(0, 0, 2, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 0, 1) s7", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s0", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s0", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s1", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s1", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s2", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s2", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s3", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s3", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s4", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s4", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s5", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s5", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s6", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s6", "lifted [M,D] n3 a(0, 0, 2, 0, 1, 0) s7", "lifted [M,X] n3 a(0, 0, 2, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 0, 1, 0) s7", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s0", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s0", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s1", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s1", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s2", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s2", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s3", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s3", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s4", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s4", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s5", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s5", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s6", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s6", "lifted [M,D] n3 a(0, 0, 2, 1, 0, 0) s7", "lifted [M,X] n3 a(0, 0, 2, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 2, 1, 0, 0) s7", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s0", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s0", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s1", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s1", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s2", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s2", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s3", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s3", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s4", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s4", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s5", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s5", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s6", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s6", "lifted [M,D] n3 a(0, 0, 3, 0, 0, 0) s7", "lifted [M,X] n3 a(0, 0, 3, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 0, 3, 0, 0, 0) s7", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s0", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s0", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s1", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s1", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s2", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s2", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s3", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s3", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s4", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s4", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s5", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s5", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s6", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s6", "lifted [M,D] n3 a(0, 1, 0, 0, 0, 2) s7", "lifted [M,X] n3 a(0, 1, 0, 0, 0, 2) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 0, 2) s7", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s0", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s0", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s1", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s1", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s2", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s2", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s3", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s3", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s4", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s4", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s5", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s5", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s6", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s6", "lifted [M,D] n3 a(0, 1, 0, 0, 1, 1) s7", "lifted [M,X] n3 a(0, 1, 0, 0, 1, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 1, 1) s7", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s0", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s0", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s1", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s1", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s2", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s2", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s3", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s3", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s4", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s4", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s5", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s5", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s6", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s6", "lifted [M,D] n3 a(0, 1, 0, 0, 2, 0) s7", "lifted [M,X] n3 a(0, 1, 0, 0, 2, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 0, 2, 0) s7", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s0", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s0", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s1", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s1", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s2", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s2", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s3", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s3", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s4", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s4", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s5", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s5", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s6", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s6", "lifted [M,D] n3 a(0, 1, 0, 1, 0, 1) s7", "lifted [M,X] n3 a(0, 1, 0, 1, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 0, 1) s7", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s0", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s0", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s1", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s1", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s2", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s2", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s3", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s3", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s4", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s4", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s5", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s5", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s6", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s6", "lifted [M,D] n3 a(0, 1, 0, 1, 1, 0) s7", "lifted [M,X] n3 a(0, 1, 0, 1, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 1, 1, 0) s7", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s0", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s0", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s1", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s1", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s2", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s2", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s3", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s3", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s4", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s4", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s5", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s5", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s6", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s6", "lifted [M,D] n3 a(0, 1, 0, 2, 0, 0) s7", "lifted [M,X] n3 a(0, 1, 0, 2, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 0, 2, 0, 0) s7", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s0", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s0", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s1", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s1", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s2", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s2", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s3", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s3", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s4", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s4", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s5", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s5", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s6", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s6", "lifted [M,D] n3 a(0, 1, 1, 0, 0, 1) s7", "lifted [M,X] n3 a(0, 1, 1, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 0, 1) s7", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s0", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s0", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s1", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s1", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s2", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s2", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s3", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s3", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s4", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s4", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s5", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s5", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s6", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s6", "lifted [M,D] n3 a(0, 1, 1, 0, 1, 0) s7", "lifted [M,X] n3 a(0, 1, 1, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 0, 1, 0) s7", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s0", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s0", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s1", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s1", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s2", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s2", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s3", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s3", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s4", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s4", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s5", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s5", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s6", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s6", "lifted [M,D] n3 a(0, 1, 1, 1, 0, 0) s7", "lifted [M,X] n3 a(0, 1, 1, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 1, 1, 0, 0) s7", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s0", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s0", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s1", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s1", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s2", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s2", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s3", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s3", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s4", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s4", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s5", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s5", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s6", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s6", "lifted [M,D] n3 a(0, 1, 2, 0, 0, 0) s7", "lifted [M,X] n3 a(0, 1, 2, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 1, 2, 0, 0, 0) s7", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s0", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s0", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s1", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s1", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s2", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s2", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s3", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s3", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s4", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s4", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s5", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s5", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s6", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s6", "lifted [M,D] n3 a(0, 2, 0, 0, 0, 1) s7", "lifted [M,X] n3 a(0, 2, 0, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 0, 1) s7", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s0", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s0", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s1", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s1", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s2", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s2", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s3", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s3", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s4", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s4", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s5", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s5", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s6", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s6", "lifted [M,D] n3 a(0, 2, 0, 0, 1, 0) s7", "lifted [M,X] n3 a(0, 2, 0, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 0, 1, 0) s7", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s0", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s0", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s1", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s1", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s2", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s2", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s3", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s3", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s4", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s4", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s5", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s5", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s6", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s6", "lifted [M,D] n3 a(0, 2, 0, 1, 0, 0) s7", "lifted [M,X] n3 a(0, 2, 0, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 2, 0, 1, 0, 0) s7", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s0", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s0", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s1", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s1", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s2", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s2", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s3", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s3", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s4", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s4", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s5", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s5", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s6", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s6", "lifted [M,D] n3 a(0, 2, 1, 0, 0, 0) s7", "lifted [M,X] n3 a(0, 2, 1, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 2, 1, 0, 0, 0) s7", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s0", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s0", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s1", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s1", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s2", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s2", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s3", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s3", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s4", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s4", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s5", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s5", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s6", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s6", "lifted [M,D] n3 a(0, 3, 0, 0, 0, 0) s7", "lifted [M,X] n3 a(0, 3, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(0, 3, 0, 0, 0, 0) s7", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s0", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s0", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s1", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s1", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s2", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s2", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s3", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s3", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s4", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s4", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s5", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s5", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s6", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s6", "lifted [M,D] n3 a(1, 0, 0, 0, 0, 2) s7", "lifted [M,X] n3 a(1, 0, 0, 0, 0, 2) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 0, 2) s7", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s0", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s0", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s1", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s1", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s2", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s2", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s3", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s3", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s4", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s4", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s5", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s5", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s6", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s6", "lifted [M,D] n3 a(1, 0, 0, 0, 1, 1) s7", "lifted [M,X] n3 a(1, 0, 0, 0, 1, 1) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 1, 1) s7", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s0", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s0", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s1", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s1", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s2", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s2", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s3", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s3", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s4", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s4", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s5", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s5", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s6", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s6", "lifted [M,D] n3 a(1, 0, 0, 0, 2, 0) s7", "lifted [M,X] n3 a(1, 0, 0, 0, 2, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 0, 2, 0) s7", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s0", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s0", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s1", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s1", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s2", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s2", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s3", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s3", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s4", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s4", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s5", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s5", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s6", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s6", "lifted [M,D] n3 a(1, 0, 0, 1, 0, 1) s7", "lifted [M,X] n3 a(1, 0, 0, 1, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 0, 1) s7", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s0", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s0", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s1", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s1", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s2", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s2", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s3", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s3", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s4", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s4", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s5", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s5", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s6", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s6", "lifted [M,D] n3 a(1, 0, 0, 1, 1, 0) s7", "lifted [M,X] n3 a(1, 0, 0, 1, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 1, 1, 0) s7", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s0", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s0", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s1", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s1", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s2", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s2", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s3", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s3", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s4", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s4", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s5", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s5", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s6", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s6", "lifted [M,D] n3 a(1, 0, 0, 2, 0, 0) s7", "lifted [M,X] n3 a(1, 0, 0, 2, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 0, 2, 0, 0) s7", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s0", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s0", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s1", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s1", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s2", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s2", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s3", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s3", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s4", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s4", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s5", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s5", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s6", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s6", "lifted [M,D] n3 a(1, 0, 1, 0, 0, 1) s7", "lifted [M,X] n3 a(1, 0, 1, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 0, 1) s7", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s0", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s0", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s1", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s1", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s2", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s2", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s3", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s3", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s4", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s4", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s5", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s5", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s6", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s6", "lifted [M,D] n3 a(1, 0, 1, 0, 1, 0) s7", "lifted [M,X] n3 a(1, 0, 1, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 0, 1, 0) s7", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s0", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s0", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s1", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s1", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s2", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s2", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s3", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s3", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s4", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s4", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s5", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s5", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s6", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s6", "lifted [M,D] n3 a(1, 0, 1, 1, 0, 0) s7", "lifted [M,X] n3 a(1, 0, 1, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 1, 1, 0, 0) s7", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s0", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s0", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s1", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s1", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s2", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s2", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s3", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s3", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s4", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s4", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s5", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s5", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s6", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s6", "lifted [M,D] n3 a(1, 0, 2, 0, 0, 0) s7", "lifted [M,X] n3 a(1, 0, 2, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 0, 2, 0, 0, 0) s7", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s0", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s0", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s1", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s1", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s2", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s2", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s3", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s3", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s4", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s4", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s5", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s5", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s6", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s6", "lifted [M,D] n3 a(1, 1, 0, 0, 0, 1) s7", "lifted [M,X] n3 a(1, 1, 0, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 0, 1) s7", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s0", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s0", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s1", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s1", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s2", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s2", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s3", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s3", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s4", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s4", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s5", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s5", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s6", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s6", "lifted [M,D] n3 a(1, 1, 0, 0, 1, 0) s7", "lifted [M,X] n3 a(1, 1, 0, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 0, 1, 0) s7", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s0", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s0", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s1", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s1", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s2", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s2", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s3", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s3", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s4", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s4", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s5", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s5", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s6", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s6", "lifted [M,D] n3 a(1, 1, 0, 1, 0, 0) s7", "lifted [M,X] n3 a(1, 1, 0, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 1, 0, 1, 0, 0) s7", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s0", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s0", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s1", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s1", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s2", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s2", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s3", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s3", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s4", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s4", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s5", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s5", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s6", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s6", "lifted [M,D] n3 a(1, 1, 1, 0, 0, 0) s7", "lifted [M,X] n3 a(1, 1, 1, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 1, 1, 0, 0, 0) s7", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s0", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s0", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s1", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s1", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s2", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s2", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s3", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s3", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s4", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s4", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s5", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s5", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s6", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s6", "lifted [M,D] n3 a(1, 2, 0, 0, 0, 0) s7", "lifted [M,X] n3 a(1, 2, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(1, 2, 0, 0, 0, 0) s7", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s0", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s0", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s0", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s1", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s1", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s1", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s2", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s2", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s2", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s3", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s3", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s3", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s4", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s4", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s4", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s5", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s5", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s5", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s6", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s6", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s6", "lifted [M,D] n3 a(2, 0, 0, 0, 0, 1) s7", "lifted [M,X] n3 a(2, 0, 0, 0, 0, 1) s7", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 0, 1) s7", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s0", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s0", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s0", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s1", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s1", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s1", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s2", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s2", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s2", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s3", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s3", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s3", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s4", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s4", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s4", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s5", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s5", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s5", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s6", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s6", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s6", "lifted [M,D] n3 a(2, 0, 0, 0, 1, 0) s7", "lifted [M,X] n3 a(2, 0, 0, 0, 1, 0) s7", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 0, 1, 0) s7", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s0", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s0", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s1", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s1", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s2", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s2", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s3", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s3", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s4", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s4", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s5", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s5", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s6", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s6", "lifted [M,D] n3 a(2, 0, 0, 1, 0, 0) s7", "lifted [M,X] n3 a(2, 0, 0, 1, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(2, 0, 0, 1, 0, 0) s7", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s0", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s0", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s1", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s1", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s2", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s2", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s3", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s3", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s4", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s4", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s5", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s5", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s6", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s6", "lifted [M,D] n3 a(2, 0, 1, 0, 0, 0) s7", "lifted [M,X] n3 a(2, 0, 1, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(2, 0, 1, 0, 0, 0) s7", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s0", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s0", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s1", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s1", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s2", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s2", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s3", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s3", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s4", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s4", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s5", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s5", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s6", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s6", "lifted [M,D] n3 a(2, 1, 0, 0, 0, 0) s7", "lifted [M,X] n3 a(2, 1, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(2, 1, 0, 0, 0, 0) s7", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s0", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s0", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s0", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s1", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s1", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s1", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s2", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s2", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s2", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s3", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s3", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s3", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s4", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s4", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s4", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s5", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s5", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s5", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s6", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s6", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s6", "lifted [M,D] n3 a(3, 0, 0, 0, 0, 0) s7", "lifted [M,X] n3 a(3, 0, 0, 0, 0, 0) s7", "lifted Dirac ladder anticommutator n3 a(3, 0, 0, 0, 0, 0) s7", "lifted monogenic rank n0 chirality0 M-3", "lifted monogenic rank n0 chirality0 M-1", "lifted monogenic rank n0 chirality0 M0", "lifted monogenic rank n0 chirality0 M2", "lifted monogenic rank n0 chirality1 M-2", "lifted monogenic rank n0 chirality1 M0", "lifted monogenic rank n0 chirality1 M1", "lifted monogenic rank n0 chirality1 M3", "lifted monogenic full character n0", "lifted monogenic full dimension n0", "lifted monogenic rank n1 chirality0 M-4", "lifted monogenic rank n1 chirality0 M-2", "lifted monogenic rank n1 chirality0 M-1", "lifted monogenic rank n1 chirality0 M0", "lifted monogenic rank n1 chirality0 M1", "lifted monogenic rank n1 chirality0 M3", "lifted monogenic rank n1 chirality1 M-3", "lifted monogenic rank n1 chirality1 M-1", "lifted monogenic rank n1 chirality1 M0", "lifted monogenic rank n1 chirality1 M1", "lifted monogenic rank n1 chirality1 M2", "lifted monogenic rank n1 chirality1 M4", "lifted monogenic full character n1", "lifted monogenic full dimension n1", "lifted monogenic rank n2 chirality0 M-5", "lifted monogenic rank n2 chirality0 M-3", "lifted monogenic rank n2 chirality0 M-2", "lifted monogenic rank n2 chirality0 M-1", "lifted monogenic rank n2 chirality0 M0", "lifted monogenic rank n2 chirality0 M1", "lifted monogenic rank n2 chirality0 M2", "lifted monogenic rank n2 chirality0 M4", "lifted monogenic rank n2 chirality1 M-4", "lifted monogenic rank n2 chirality1 M-2", "lifted monogenic rank n2 chirality1 M-1", "lifted monogenic rank n2 chirality1 M0", "lifted monogenic rank n2 chirality1 M1", "lifted monogenic rank n2 chirality1 M2", "lifted monogenic rank n2 chirality1 M3", "lifted monogenic rank n2 chirality1 M5", "lifted monogenic full character n2", "lifted monogenic full dimension n2", "lifted repeated M1 normal monogenic grade0", "lifted repeated M1 normal monogenic grade2", "lifted repeated M1 normal monogenic grade4", "lifted repeated M1 normal monogenic grade6", "lifted repeated M1 normal monogenic grade8", "lifted repeated M1 normal monogenic grade10", "lifted four retained weights repeat q0 delta0 branch0", "lifted four retained weights repeat q0 delta0 branch1", "lifted four retained weights repeat q0 delta2 branch0", "lifted four retained weights repeat q0 delta2 branch1", "lifted four retained weights repeat q1 delta0 branch0", "lifted four retained weights repeat q1 delta0 branch1", "lifted four retained weights repeat q1 delta2 branch0", "lifted four retained weights repeat q1 delta2 branch1", "lifted four retained weights repeat q2 delta0 branch0", "lifted four retained weights repeat q2 delta0 branch1", "lifted four retained weights repeat q2 delta2 branch0", "lifted four retained weights repeat q2 delta2 branch1", "lifted four retained weights repeat q3 delta0 branch0", "lifted four retained weights repeat q3 delta0 branch1", "lifted four retained weights repeat q3 delta2 branch0", "lifted four retained weights repeat q3 delta2 branch1", "lifted four retained weights repeat q4 delta0 branch0", "lifted four retained weights repeat q4 delta0 branch1", "lifted four retained weights repeat q4 delta2 branch0", "lifted four retained weights repeat q4 delta2 branch1", "lifted depth2 homogeneous count n0", "lifted depth2 normal monogenic count n0", "lifted depth2 nonnegative weight multiplicities n0", "lifted depth2 homogeneous count n1", "lifted depth2 normal monogenic count n1", "lifted depth2 nonnegative weight multiplicities n1", "lifted depth2 homogeneous count n2", "lifted depth2 normal monogenic count n2", "lifted depth2 nonnegative weight multiplicities n2", "lifted depth2 homogeneous count n3", "lifted depth2 normal monogenic count n3", "lifted depth2 nonnegative weight multiplicities n3", "lifted depth3 homogeneous count n0", "lifted depth3 normal monogenic count n0", "lifted depth3 nonnegative weight multiplicities n0", "lifted depth3 homogeneous count n1", "lifted depth3 normal monogenic count n1", "lifted depth3 nonnegative weight multiplicities n1", "lifted depth3 homogeneous count n2", "lifted depth3 normal monogenic count n2", "lifted depth3 nonnegative weight multiplicities n2", "lifted depth3 homogeneous count n3", "lifted depth3 normal monogenic count n3", "lifted depth3 nonnegative weight multiplicities n3", "lifted depth4 homogeneous count n0", "lifted depth4 normal monogenic count n0", "lifted depth4 nonnegative weight multiplicities n0", "lifted depth4 homogeneous count n1", "lifted depth4 normal monogenic count n1", "lifted depth4 nonnegative weight multiplicities n1", "lifted depth4 homogeneous count n2", "lifted depth4 normal monogenic count n2", "lifted depth4 nonnegative weight multiplicities n2", "lifted depth4 homogeneous count n3", "lifted depth4 normal monogenic count n3", "lifted depth4 nonnegative weight multiplicities n3", "lifted depth6 homogeneous count n0", "lifted depth6 normal monogenic count n0", "lifted depth6 nonnegative weight multiplicities n0", "lifted depth6 homogeneous count n1", "lifted depth6 normal monogenic count n1", "lifted depth6 nonnegative weight multiplicities n1", "lifted depth6 homogeneous count n2", "lifted depth6 normal monogenic count n2", "lifted depth6 nonnegative weight multiplicities n2", "lifted depth6 homogeneous count n3", "lifted depth6 normal monogenic count n3", "lifted depth6 nonnegative weight multiplicities n3", "lifted depth8 homogeneous count n0", "lifted depth8 normal monogenic count n0", "lifted depth8 nonnegative weight multiplicities n0", "lifted depth8 homogeneous count n1", "lifted depth8 normal monogenic count n1", "lifted depth8 nonnegative weight multiplicities n1", "lifted depth8 homogeneous count n2", "lifted depth8 normal monogenic count n2", "lifted depth8 nonnegative weight multiplicities n2", "lifted depth8 homogeneous count n3", "lifted depth8 normal monogenic count n3", "lifted depth8 nonnegative weight multiplicities n3", "lifted depth10 homogeneous count n0", "lifted depth10 normal monogenic count n0", "lifted depth10 nonnegative weight multiplicities n0", "lifted depth10 homogeneous count n1", "lifted depth10 normal monogenic count n1", "lifted depth10 nonnegative weight multiplicities n1", "lifted depth10 homogeneous count n2", "lifted depth10 normal monogenic count n2", "lifted depth10 nonnegative weight multiplicities n2", "lifted depth10 homogeneous count n3", "lifted depth10 normal monogenic count n3", "lifted depth10 nonnegative weight multiplicities n3", "fibre scalar-charge commutator x0", "fibre rotated Clifford direction invertible 0", "fibre scalar-charge commutator x1", "fibre rotated Clifford direction invertible 1", "fibre scalar-charge commutator x2", "fibre rotated Clifford direction invertible 2", "real normal volume identifies charge complex structure", "real normal volume squares minus identity", "real normal volume is orthogonal complex structure", "quaternion commutant generator square", "quaternion commutant generator skew", "quaternion commutant anticommutation", "quaternion sphere sample square", "quaternion sphere sample skew", "real full Clifford commutant A/0", "real full Clifford commutant IA/0", "real full Clifford commutant sample/0", "volume complex structure anti-linear symbol 0", "volume complex structure not symbol scalar 0", "real full Clifford commutant A/1", "real full Clifford commutant IA/1", "real full Clifford commutant sample/1", "volume complex structure anti-linear symbol 1", "volume complex structure not symbol scalar 1", "real full Clifford commutant A/2", "real full Clifford commutant IA/2", "real full Clifford commutant sample/2", "volume complex structure anti-linear symbol 2", "volume complex structure not symbol scalar 2", "real full Clifford commutant A/3", "real full Clifford commutant IA/3", "real full Clifford commutant sample/3", "volume complex structure anti-linear symbol 3", "volume complex structure not symbol scalar 3", "real full Clifford commutant A/4", "real full Clifford commutant IA/4", "real full Clifford commutant sample/4", "volume complex structure anti-linear symbol 4", "volume complex structure not symbol scalar 4", "real full Clifford commutant A/5", "real full Clifford commutant IA/5", "real full Clifford commutant sample/5", "volume complex structure anti-linear symbol 5", "volume complex structure not symbol scalar 5", "rotation volume commutes quaternion I", "quaternion lies mixed rotation component I", "rotation volume commutes quaternion A", "quaternion lies mixed rotation component A", "rotation volume commutes quaternion IA", "quaternion lies mixed rotation component IA", "quaternion determinant rotation A", "quaternion determinant rotation IA", "SU3 fixes quaternion A 0", "SU3 fixes quaternion IA 0", "SU3 fixes quaternion A 1", "SU3 fixes quaternion IA 1", "real geometric charge weights", "real geometric circle preserves charge complex structure", "real raising incoming norm common", "real raising outgoing norm common", "real raising nilpotent", "isolated raising is not full real Clifford scalar", "real compatible skew connection is E complex linear", "normal volume neighboring identity 1", "normal volume neighboring square 1", "normal volume neighboring identity 2", "normal volume neighboring square 2", "normal volume neighboring identity 3", "normal volume neighboring square 3", "normal volume neighboring identity 4", "normal volume neighboring square 4", "normal volume neighboring identity 5", "normal volume neighboring square 5", "determinant exterior derivative identity (0, 1, 2)", "determinant exterior derivative identity (0, 1, 3)", "determinant exterior derivative identity (0, 2, 3)", "determinant exterior derivative identity (1, 2, 3)", "cubic witness component", "cubic variable witness component", "curvature witness component", "curvature witness other components vanish", "ladder unitary control 0", "ladder determinant covariance 0/(0, 1, 2)", "ladder determinant covariance 0/(0, 1, 3)", "ladder determinant covariance 0/(0, 2, 3)", "ladder determinant covariance 0/(1, 2, 3)", "ladder unitary control 1", "ladder determinant covariance 1/(0, 1, 2)", "ladder determinant covariance 1/(0, 1, 3)", "ladder determinant covariance 1/(0, 2, 3)", "ladder determinant covariance 1/(1, 2, 3)", "ladder unitary control 2", "ladder determinant covariance 2/(0, 1, 2)", "ladder determinant covariance 2/(0, 1, 3)", "ladder determinant covariance 2/(0, 2, 3)", "ladder determinant covariance 2/(1, 2, 3)", "complex plane first derivative ladder zero", "noncomplex plane first derivative ladder nonzero", "unoriented central sign fixes line projector", "unoriented central sign reverses determinant", "cubic ladder Cauchy Binet 0", "cubic ladder bending bound 0", "contact dominates complex Gram volume 0", "sigma bending bound 0", "sharp cubic contact volume all offsets", "cubic ladder Cauchy Binet 1", "cubic ladder bending bound 1", "contact dominates complex Gram volume 1", "sigma bending bound 1", "cubic ladder Cauchy Binet 2", "cubic ladder bending bound 2", "contact dominates complex Gram volume 2", "sigma bending bound 2", "sharp sigma contact volume all offsets", "curvature independent jet witness", "curvature ladder survives rank one bending", "ambient connection metric inverse exact", "ambient connection metric determinant one", "ambient actual coordinate scalar curvature", "ambient actual coordinate vertical Ricci", "ambient LC metric compatible 0", "ambient LC metric compatible 1", "ambient LC metric compatible 2", "ambient LC metric compatible 3", "ambient full LC coordinate verification 0", "ambient full LC coordinate verification 1", "ambient full LC coordinate verification 2", "ambient full LC coordinate verification 3", "ambient LC torsion free 0/1", "ambient LC torsion free 0/2", "ambient LC torsion free 0/3", "ambient LC torsion free 1/2", "ambient LC torsion free 1/3", "ambient LC torsion free 2/3", "ambient spin Clifford compatibility 0/0", "ambient spin Clifford compatibility 0/1", "ambient spin Clifford compatibility 0/2", "ambient spin Clifford compatibility 0/3", "ambient spin Clifford compatibility 1/0", "ambient spin Clifford compatibility 1/1", "ambient spin Clifford compatibility 1/2", "ambient spin Clifford compatibility 1/3", "ambient spin Clifford compatibility 2/0", "ambient spin Clifford compatibility 2/1", "ambient spin Clifford compatibility 2/2", "ambient spin Clifford compatibility 2/3", "ambient spin Clifford compatibility 3/0", "ambient spin Clifford compatibility 3/1", "ambient spin Clifford compatibility 3/2", "ambient spin Clifford compatibility 3/3", "ambient complete Dirac curvature coefficient", "ambient mixed curvature term genuinely nonzero", "ambient Killing tensor skew", "ambient Killing horizontal curvature", "ambient Killing vertical rotation", "ambient covariant Killing lift curvature cancellation", "ambient curvature spin covariance", "ambient pure fibre spin does not commute curvature term", "ambient full Dirac lifted commutator polynomial 0/0", "ambient full Dirac lifted commutator polynomial 0/1", "ambient full Dirac lifted commutator polynomial 0/2", "ambient full Dirac lifted commutator polynomial 0/3", "ambient full Dirac lifted commutator polynomial 1/0", "ambient full Dirac lifted commutator polynomial 1/1", "ambient full Dirac lifted commutator polynomial 1/2", "ambient full Dirac lifted commutator polynomial 1/3", "ambient full Dirac lifted commutator polynomial 2/0", "ambient full Dirac lifted commutator polynomial 2/1", "ambient full Dirac lifted commutator polynomial 2/2", "ambient full Dirac lifted commutator polynomial 2/3", "ambient full Dirac lifted commutator polynomial 3/0", "ambient full Dirac lifted commutator polynomial 3/1", "ambient full Dirac lifted commutator polynomial 3/2", "ambient full Dirac lifted commutator polynomial 3/3", "ambient full Dirac lifted commutator polynomial 4/0", "ambient full Dirac lifted commutator polynomial 4/1", "ambient full Dirac lifted commutator polynomial 4/2", "ambient full Dirac lifted commutator polynomial 4/3", "ambient full Dirac lifted commutator polynomial 5/0", "ambient full Dirac lifted commutator polynomial 5/1", "ambient full Dirac lifted commutator polynomial 5/2", "ambient full Dirac lifted commutator polynomial 5/3", "ambient full Dirac lifted commutator polynomial 6/0", "ambient full Dirac lifted commutator polynomial 6/1", "ambient full Dirac lifted commutator polynomial 6/2", "ambient full Dirac lifted commutator polynomial 6/3", "ambient full Dirac lifted commutator polynomial 7/0", "ambient full Dirac lifted commutator polynomial 7/1", "ambient full Dirac lifted commutator polynomial 7/2", "ambient full Dirac lifted commutator polynomial 7/3", "ambient full Dirac lifted commutator polynomial 8/0", "ambient full Dirac lifted commutator polynomial 8/1", "ambient full Dirac lifted commutator polynomial 8/2", "ambient full Dirac lifted commutator polynomial 8/3", "ambient full Dirac lifted commutator polynomial 9/0", "ambient full Dirac lifted commutator polynomial 9/1", "ambient full Dirac lifted commutator polynomial 9/2", "ambient full Dirac lifted commutator polynomial 9/3", "ambient normal chirality not LC parallel away zero section", "ambient normal chirality LC parallel on zero section", "ambient ordinary normal spin central generator", "ambient ordinary spin period has sign at two pi", "ambient retained exterior branch period two pi", "ambient real line is not fixed circle domain", "ambient complex plane is fixed circle domain", "ambient noncomplex plane is not fixed circle domain", "ambient moving line projector covariance", "ambient moving line differs from original", "ambient moving line tangent symbol covariance", "ambient branch raising central weight three", "ambient x-only nonzero raising breaks central symmetry", "ambient orbital branch matching weight three", "ambient matching orbital coefficient preserves raising", "real32 total symbol symmetric 0", "real32 total spatial Clifford 0/0", "real32 total spatial Clifford 0/1", "real32 total spatial Clifford 0/2", "real32 total spatial Clifford 0/3", "real32 total spatial Clifford 0/4", "real32 total spatial Clifford 0/5", "real32 total spatial Clifford 0/6", "real32 total spatial Clifford 0/7", "real32 total spatial Clifford 0/8", "real32 total spatial Clifford 0/9", "real32 normal volume tangent or normal relation 0", "real32 total symbol symmetric 1", "real32 total spatial Clifford 1/1", "real32 total spatial Clifford 1/2", "real32 total spatial Clifford 1/3", "real32 total spatial Clifford 1/4", "real32 total spatial Clifford 1/5", "real32 total spatial Clifford 1/6", "real32 total spatial Clifford 1/7", "real32 total spatial Clifford 1/8", "real32 total spatial Clifford 1/9", "real32 normal volume tangent or normal relation 1", "real32 total symbol symmetric 2", "real32 total spatial Clifford 2/2", "real32 total spatial Clifford 2/3", "real32 total spatial Clifford 2/4", "real32 total spatial Clifford 2/5", "real32 total spatial Clifford 2/6", "real32 total spatial Clifford 2/7", "real32 total spatial Clifford 2/8", "real32 total spatial Clifford 2/9", "real32 normal volume tangent or normal relation 2", "real32 total symbol symmetric 3", "real32 total spatial Clifford 3/3", "real32 total spatial Clifford 3/4", "real32 total spatial Clifford 3/5", "real32 total spatial Clifford 3/6", "real32 total spatial Clifford 3/7", "real32 total spatial Clifford 3/8", "real32 total spatial Clifford 3/9", "real32 normal volume tangent or normal relation 3", "real32 total symbol symmetric 4", "real32 total spatial Clifford 4/4", "real32 total spatial Clifford 4/5", "real32 total spatial Clifford 4/6", "real32 total spatial Clifford 4/7", "real32 total spatial Clifford 4/8", "real32 total spatial Clifford 4/9", "real32 normal volume tangent or normal relation 4", "real32 total symbol symmetric 5", "real32 total spatial Clifford 5/5", "real32 total spatial Clifford 5/6", "real32 total spatial Clifford 5/7", "real32 total spatial Clifford 5/8", "real32 total spatial Clifford 5/9", "real32 normal volume tangent or normal relation 5", "real32 total symbol symmetric 6", "real32 total spatial Clifford 6/6", "real32 total spatial Clifford 6/7", "real32 total spatial Clifford 6/8", "real32 total spatial Clifford 6/9", "real32 normal volume tangent or normal relation 6", "real32 total symbol symmetric 7", "real32 total spatial Clifford 7/7", "real32 total spatial Clifford 7/8", "real32 total spatial Clifford 7/9", "real32 normal volume tangent or normal relation 7", "real32 total symbol symmetric 8", "real32 total spatial Clifford 8/8", "real32 total spatial Clifford 8/9", "real32 normal volume tangent or normal relation 8", "real32 total symbol symmetric 9", "real32 total spatial Clifford 9/9", "real32 normal volume tangent or normal relation 9", "real32 first tangent fixed by exterior circle", "real32 second tangent fixed by exterior circle", "real32 third tangent rotates by triple angle", "real32 fourth tangent rotates by triple angle", "real64 via complex32 total Clifford 0/0", "real64 via complex32 total Clifford 0/1", "real64 via complex32 total Clifford 0/2", "real64 via complex32 total Clifford 0/3", "real64 via complex32 total Clifford 0/4", "real64 via complex32 total Clifford 0/5", "real64 via complex32 total Clifford 0/6", "real64 via complex32 total Clifford 0/7", "real64 via complex32 total Clifford 0/8", "real64 via complex32 total Clifford 0/9", "real64 normal volume tangent or normal relation 0", "real64 via complex32 total Clifford 1/1", "real64 via complex32 total Clifford 1/2", "real64 via complex32 total Clifford 1/3", "real64 via complex32 total Clifford 1/4", "real64 via complex32 total Clifford 1/5", "real64 via complex32 total Clifford 1/6", "real64 via complex32 total Clifford 1/7", "real64 via complex32 total Clifford 1/8", "real64 via complex32 total Clifford 1/9", "real64 normal volume tangent or normal relation 1", "real64 via complex32 total Clifford 2/2", "real64 via complex32 total Clifford 2/3", "real64 via complex32 total Clifford 2/4", "real64 via complex32 total Clifford 2/5", "real64 via complex32 total Clifford 2/6", "real64 via complex32 total Clifford 2/7", "real64 via complex32 total Clifford 2/8", "real64 via complex32 total Clifford 2/9", "real64 normal volume tangent or normal relation 2", "real64 via complex32 total Clifford 3/3", "real64 via complex32 total Clifford 3/4", "real64 via complex32 total Clifford 3/5", "real64 via complex32 total Clifford 3/6", "real64 via complex32 total Clifford 3/7", "real64 via complex32 total Clifford 3/8", "real64 via complex32 total Clifford 3/9", "real64 normal volume tangent or normal relation 3", "real64 via complex32 total Clifford 4/4", "real64 via complex32 total Clifford 4/5", "real64 via complex32 total Clifford 4/6", "real64 via complex32 total Clifford 4/7", "real64 via complex32 total Clifford 4/8", "real64 via complex32 total Clifford 4/9", "real64 normal volume tangent or normal relation 4", "real64 via complex32 total Clifford 5/5", "real64 via complex32 total Clifford 5/6", "real64 via complex32 total Clifford 5/7", "real64 via complex32 total Clifford 5/8", "real64 via complex32 total Clifford 5/9", "real64 normal volume tangent or normal relation 5", "real64 via complex32 total Clifford 6/6", "real64 via complex32 total Clifford 6/7", "real64 via complex32 total Clifford 6/8", "real64 via complex32 total Clifford 6/9", "real64 normal volume tangent or normal relation 6", "real64 via complex32 total Clifford 7/7", "real64 via complex32 total Clifford 7/8", "real64 via complex32 total Clifford 7/9", "real64 normal volume tangent or normal relation 7", "real64 via complex32 total Clifford 8/8", "real64 via complex32 total Clifford 8/9", "real64 normal volume tangent or normal relation 8", "real64 via complex32 total Clifford 9/9", "real64 normal volume tangent or normal relation 9", "real64 pure normal circle fixes tangent 0", "real64 pure normal circle fixes tangent 1", "real64 pure normal circle fixes tangent 2", "real64 pure normal circle fixes tangent 3", "tangent charge splitting violates first observer rotation", "tangent charge splitting violates second observer rotation", "review cubic bending sharp constant", "review cubic contact volume sharp polynomial", "review sigma sharp bending constant", "review sigma sharp volume polynomial", "review Hermitian real Gram strict difference", "review bending need not give cubic determinant", "review plane Kahler-angle factor", "review complex plane determinant zero", "review curvature independent jet value", "review curvature jet leakage unchanged", "review cubic curvature full polynomial", "review cubic curvature circle Euler weight", "review cubic curvature finite circle", "review cubic curvature unitary determinant covariance", "review cubic curvature witness", "review cubic curvature extra determinant zero", "review cubic curvature central curvature zero", "review paired upper and lower fixed-circle condition", "review paired ladder real descent trace", "U3 triality a0 b0 k-3", "color singlet charge k-3", "U3 triality a0 b0 k-2", "color singlet charge k-2", "U3 triality a0 b0 k-1", "color singlet charge k-1", "U3 triality a0 b0 k0", "color singlet charge k0", "U3 triality a0 b0 k1", "color singlet charge k1", "U3 triality a0 b0 k2", "color singlet charge k2", "U3 triality a0 b0 k3", "color singlet charge k3", "U3 triality a0 b1 k-3", "U3 triality a0 b1 k-2", "U3 triality a0 b1 k-1", "U3 triality a0 b1 k0", "U3 triality a0 b1 k1", "U3 triality a0 b1 k2", "U3 triality a0 b1 k3", "U3 triality a0 b2 k-3", "U3 triality a0 b2 k-2", "U3 triality a0 b2 k-1", "U3 triality a0 b2 k0", "U3 triality a0 b2 k1", "U3 triality a0 b2 k2", "U3 triality a0 b2 k3", "U3 triality a0 b3 k-3", "U3 triality a0 b3 k-2", "U3 triality a0 b3 k-1", "U3 triality a0 b3 k0", "U3 triality a0 b3 k1", "U3 triality a0 b3 k2", "U3 triality a0 b3 k3", "U3 triality a0 b4 k-3", "U3 triality a0 b4 k-2", "U3 triality a0 b4 k-1", "U3 triality a0 b4 k0", "U3 triality a0 b4 k1", "U3 triality a0 b4 k2", "U3 triality a0 b4 k3", "U3 triality a1 b0 k-3", "U3 triality a1 b0 k-2", "U3 triality a1 b0 k-1", "U3 triality a1 b0 k0", "U3 triality a1 b0 k1", "U3 triality a1 b0 k2", "U3 triality a1 b0 k3", "U3 triality a1 b1 k-3", "U3 triality a1 b1 k-2", "U3 triality a1 b1 k-1", "U3 triality a1 b1 k0", "U3 triality a1 b1 k1", "U3 triality a1 b1 k2", "U3 triality a1 b1 k3", "U3 triality a1 b2 k-3", "U3 triality a1 b2 k-2", "U3 triality a1 b2 k-1", "U3 triality a1 b2 k0", "U3 triality a1 b2 k1", "U3 triality a1 b2 k2", "U3 triality a1 b2 k3", "U3 triality a1 b3 k-3", "U3 triality a1 b3 k-2", "U3 triality a1 b3 k-1", "U3 triality a1 b3 k0", "U3 triality a1 b3 k1", "U3 triality a1 b3 k2", "U3 triality a1 b3 k3", "U3 triality a1 b4 k-3", "U3 triality a1 b4 k-2", "U3 triality a1 b4 k-1", "U3 triality a1 b4 k0", "U3 triality a1 b4 k1", "U3 triality a1 b4 k2", "U3 triality a1 b4 k3", "U3 triality a2 b0 k-3", "U3 triality a2 b0 k-2", "U3 triality a2 b0 k-1", "U3 triality a2 b0 k0", "U3 triality a2 b0 k1", "U3 triality a2 b0 k2", "U3 triality a2 b0 k3", "U3 triality a2 b1 k-3", "U3 triality a2 b1 k-2", "U3 triality a2 b1 k-1", "U3 triality a2 b1 k0", "U3 triality a2 b1 k1", "U3 triality a2 b1 k2", "U3 triality a2 b1 k3", "U3 triality a2 b2 k-3", "U3 triality a2 b2 k-2", "U3 triality a2 b2 k-1", "U3 triality a2 b2 k0", "U3 triality a2 b2 k1", "U3 triality a2 b2 k2", "U3 triality a2 b2 k3", "U3 triality a2 b3 k-3", "U3 triality a2 b3 k-2", "U3 triality a2 b3 k-1", "U3 triality a2 b3 k0", "U3 triality a2 b3 k1", "U3 triality a2 b3 k2", "U3 triality a2 b3 k3", "U3 triality a2 b4 k-3", "U3 triality a2 b4 k-2", "U3 triality a2 b4 k-1", "U3 triality a2 b4 k0", "U3 triality a2 b4 k1", "U3 triality a2 b4 k2", "U3 triality a2 b4 k3", "U3 triality a3 b0 k-3", "U3 triality a3 b0 k-2", "U3 triality a3 b0 k-1", "U3 triality a3 b0 k0", "U3 triality a3 b0 k1", "U3 triality a3 b0 k2", "U3 triality a3 b0 k3", "U3 triality a3 b1 k-3", "U3 triality a3 b1 k-2", "U3 triality a3 b1 k-1", "U3 triality a3 b1 k0", "U3 triality a3 b1 k1", "U3 triality a3 b1 k2", "U3 triality a3 b1 k3", "U3 triality a3 b2 k-3", "U3 triality a3 b2 k-2", "U3 triality a3 b2 k-1", "U3 triality a3 b2 k0", "U3 triality a3 b2 k1", "U3 triality a3 b2 k2", "U3 triality a3 b2 k3", "U3 triality a3 b3 k-3", "U3 triality a3 b3 k-2", "U3 triality a3 b3 k-1", "U3 triality a3 b3 k0", "U3 triality a3 b3 k1", "U3 triality a3 b3 k2", "U3 triality a3 b3 k3", "U3 triality a3 b4 k-3", "U3 triality a3 b4 k-2", "U3 triality a3 b4 k-1", "U3 triality a3 b4 k0", "U3 triality a3 b4 k1", "U3 triality a3 b4 k2", "U3 triality a3 b4 k3", "U3 triality a4 b0 k-3", "U3 triality a4 b0 k-2", "U3 triality a4 b0 k-1", "U3 triality a4 b0 k0", "U3 triality a4 b0 k1", "U3 triality a4 b0 k2", "U3 triality a4 b0 k3", "U3 triality a4 b1 k-3", "U3 triality a4 b1 k-2", "U3 triality a4 b1 k-1", "U3 triality a4 b1 k0", "U3 triality a4 b1 k1", "U3 triality a4 b1 k2", "U3 triality a4 b1 k3", "U3 triality a4 b2 k-3", "U3 triality a4 b2 k-2", "U3 triality a4 b2 k-1", "U3 triality a4 b2 k0", "U3 triality a4 b2 k1", "U3 triality a4 b2 k2", "U3 triality a4 b2 k3", "U3 triality a4 b3 k-3", "U3 triality a4 b3 k-2", "U3 triality a4 b3 k-1", "U3 triality a4 b3 k0", "U3 triality a4 b3 k1", "U3 triality a4 b3 k2", "U3 triality a4 b3 k3", "U3 triality a4 b4 k-3", "U3 triality a4 b4 k-2", "U3 triality a4 b4 k-1", "U3 triality a4 b4 k0", "U3 triality a4 b4 k1", "U3 triality a4 b4 k2", "U3 triality a4 b4 k3", "orbital trace triality q0 s0 j0", "orbital trace triality q0 s1 j0", "orbital trace triality q0 s2 j0", "orbital trace triality q0 s3 j0", "orbital trace triality q0 s4 j0", "orbital trace triality q1 s0 j0", "orbital trace triality q1 s1 j0", "orbital trace triality q1 s1 j1", "orbital trace triality q1 s2 j0", "orbital trace triality q1 s2 j1", "orbital trace triality q1 s3 j0", "orbital trace triality q1 s3 j1", "orbital trace triality q1 s4 j0", "orbital trace triality q1 s4 j1", "orbital trace triality q2 s0 j0", "orbital trace triality q2 s1 j0", "orbital trace triality q2 s1 j1", "orbital trace triality q2 s2 j0", "orbital trace triality q2 s2 j1", "orbital trace triality q2 s2 j2", "orbital trace triality q2 s3 j0", "orbital trace triality q2 s3 j1", "orbital trace triality q2 s3 j2", "orbital trace triality q2 s4 j0", "orbital trace triality q2 s4 j1", "orbital trace triality q2 s4 j2", "orbital trace triality q3 s0 j0", "orbital trace triality q3 s1 j0", "orbital trace triality q3 s1 j1", "orbital trace triality q3 s2 j0", "orbital trace triality q3 s2 j1", "orbital trace triality q3 s2 j2", "orbital trace triality q3 s3 j0", "orbital trace triality q3 s3 j1", "orbital trace triality q3 s3 j2", "orbital trace triality q3 s3 j3", "orbital trace triality q3 s4 j0", "orbital trace triality q3 s4 j1", "orbital trace triality q3 s4 j2", "orbital trace triality q3 s4 j3", "orbital trace triality q4 s0 j0", "orbital trace triality q4 s1 j0", "orbital trace triality q4 s1 j1", "orbital trace triality q4 s2 j0", "orbital trace triality q4 s2 j1", "orbital trace triality q4 s2 j2", "orbital trace triality q4 s3 j0", "orbital trace triality q4 s3 j1", "orbital trace triality q4 s3 j2", "orbital trace triality q4 s3 j3", "orbital trace triality q4 s4 j0", "orbital trace triality q4 s4 j1", "orbital trace triality q4 s4 j2", "orbital trace triality q4 s4 j3", "orbital trace triality q4 s4 j4", "four independent cubic minors", "distinct cubic column multidegrees", "minor nonzero 0", "cubic determinant gl3 0/0/0", "cubic determinant gl3 0/0/1", "cubic determinant gl3 0/0/2", "cubic determinant gl3 0/1/0", "cubic determinant gl3 0/1/1", "cubic determinant gl3 0/1/2", "cubic determinant gl3 0/2/0", "cubic determinant gl3 0/2/1", "cubic determinant gl3 0/2/2", "cubic normalized charge 0", "minor nonzero 1", "cubic determinant gl3 1/0/0", "cubic determinant gl3 1/0/1", "cubic determinant gl3 1/0/2", "cubic determinant gl3 1/1/0", "cubic determinant gl3 1/1/1", "cubic determinant gl3 1/1/2", "cubic determinant gl3 1/2/0", "cubic determinant gl3 1/2/1", "cubic determinant gl3 1/2/2", "cubic normalized charge 1", "minor nonzero 2", "cubic determinant gl3 2/0/0", "cubic determinant gl3 2/0/1", "cubic determinant gl3 2/0/2", "cubic determinant gl3 2/1/0", "cubic determinant gl3 2/1/1", "cubic determinant gl3 2/1/2", "cubic determinant gl3 2/2/0", "cubic determinant gl3 2/2/1", "cubic determinant gl3 2/2/2", "cubic normalized charge 2", "minor nonzero 3", "cubic determinant gl3 3/0/0", "cubic determinant gl3 3/0/1", "cubic determinant gl3 3/0/2", "cubic determinant gl3 3/1/0", "cubic determinant gl3 3/1/1", "cubic determinant gl3 3/1/2", "cubic determinant gl3 3/2/0", "cubic determinant gl3 3/2/1", "cubic determinant gl3 3/2/2", "cubic normalized charge 3", "neutral observer highest weight", "neutral observer lowest weight", "neutral observer raising", "neutral observer highest annihilation", "neutral observer lowering", "neutral observer lowest annihilation", "neutral observer Casimir plus", "neutral observer Casimir minus", "charge one observer highest weight", "charge one observer lowest weight", "charge one observer raising", "charge one observer highest annihilation", "charge one observer lowering", "charge one observer lowest annihilation", "charge one observer Casimir plus", "charge one observer Casimir minus", "all lower cubic vanishes (0, 0, 0)", "all lower cubic vanishes (0, 0, 1)", "all lower cubic vanishes (0, 1, 0)", "all lower cubic vanishes (0, 1, 1)", "all lower cubic vanishes (1, 0, 0)", "all lower cubic vanishes (1, 0, 1)", "all lower cubic vanishes (1, 1, 0)", "all lower cubic vanishes (1, 1, 1)", "all upper cubic vanishes (2, 2, 2)", "all upper cubic vanishes (2, 2, 3)", "all upper cubic vanishes (2, 3, 2)", "all upper cubic vanishes (2, 3, 3)", "all upper cubic vanishes (3, 2, 2)", "all upper cubic vanishes (3, 2, 3)", "all upper cubic vanishes (3, 3, 2)", "all upper cubic vanishes (3, 3, 3)", "four cubic generators Jacobian rank", "observer scalar sextic nonzero", "observer scalar sextic raising zero", "observer scalar sextic lowering zero", "observer scalar sextic weight zero", "sextic determinant line gl3 0/0", "sextic determinant line gl3 0/1", "sextic determinant line gl3 0/2", "sextic determinant line gl3 1/0", "sextic determinant line gl3 1/1", "sextic determinant line gl3 1/2", "sextic determinant line gl3 2/0", "sextic determinant line gl3 2/1", "sextic determinant line gl3 2/2", "spatial spectator wedge direct-sum dimension m1", "single observer doublet cubic charge multiplicities", "spatial spectator wedge direct-sum dimension m2", "two independent observer/mode slots cubic multiplicities", "spatial spectator wedge direct-sum dimension m3", "spatial spectator wedge direct-sum dimension m4", "alternating product color singlet dimension", "ordered triple color singlet dimension", "rank-two branch-only symmetric cubic absent", "helicity d3 orientation-1 gamma3 factorization", "helicity d3 orientation-1 commuting involutions", "helicity d3 orientation-1 positive projector q0", "helicity d3 orientation-1 overlap -1/-1/q0", "helicity d3 orientation-1 positive projector q0", "helicity d3 orientation-1 overlap -1/1/q0", "helicity d3 orientation-1 positive projector q0", "helicity d3 orientation-1 overlap 1/-1/q0", "helicity d3 orientation-1 positive projector q0", "helicity d3 orientation-1 overlap 1/1/q0", "helicity d3 orientation-1 irreducible observer volume scalar", "helicity d3 orientation-1 sole positive helicity", "helicity d3 orientation1 gamma3 factorization", "helicity d3 orientation1 commuting involutions", "helicity d3 orientation1 positive projector q0", "helicity d3 orientation1 overlap -1/-1/q0", "helicity d3 orientation1 positive projector q0", "helicity d3 orientation1 overlap -1/1/q0", "helicity d3 orientation1 positive projector q0", "helicity d3 orientation1 overlap 1/-1/q0", "helicity d3 orientation1 positive projector q0", "helicity d3 orientation1 overlap 1/1/q0", "helicity d3 orientation1 irreducible observer volume scalar", "helicity d3 orientation1 sole positive helicity", "helicity d4 orientation1 gamma3 factorization", "helicity d4 orientation1 commuting involutions", "helicity d4 orientation1 extra h commute 3", "helicity d4 orientation1 extra volume reverse 3", "helicity d4 orientation1 retained compression loses -1/3", "helicity d4 orientation1 joint multiplicity -1/-1", "helicity d4 orientation1 positive projector q0", "helicity d4 orientation1 overlap -1/-1/q0", "helicity d4 orientation1 positive helicity multiplicity -1/q0", "helicity d4 orientation1 positive projector q4", "helicity d4 orientation1 overlap -1/-1/q4", "helicity d4 orientation1 positive helicity multiplicity -1/q4", "helicity d4 orientation1 joint multiplicity -1/1", "helicity d4 orientation1 positive projector q0", "helicity d4 orientation1 overlap -1/1/q0", "helicity d4 orientation1 positive helicity multiplicity 1/q0", "helicity d4 orientation1 positive projector q4", "helicity d4 orientation1 overlap -1/1/q4", "helicity d4 orientation1 positive helicity multiplicity 1/q4", "helicity d4 orientation1 retained compression loses 1/3", "helicity d4 orientation1 joint multiplicity 1/-1", "helicity d4 orientation1 positive projector q0", "helicity d4 orientation1 overlap 1/-1/q0", "helicity d4 orientation1 positive helicity multiplicity -1/q0", "helicity d4 orientation1 positive projector q4", "helicity d4 orientation1 overlap 1/-1/q4", "helicity d4 orientation1 positive helicity multiplicity -1/q4", "helicity d4 orientation1 joint multiplicity 1/1", "helicity d4 orientation1 positive projector q0", "helicity d4 orientation1 overlap 1/1/q0", "helicity d4 orientation1 positive helicity multiplicity 1/q0", "helicity d4 orientation1 positive projector q4", "helicity d4 orientation1 overlap 1/1/q4", "helicity d4 orientation1 positive helicity multiplicity 1/q4", "helicity d5 orientation-1 gamma3 factorization", "helicity d5 orientation-1 commuting involutions", "helicity d5 orientation-1 extra h commute 3", "helicity d5 orientation-1 extra volume reverse 3", "helicity d5 orientation-1 extra h commute 4", "helicity d5 orientation-1 extra volume reverse 4", "helicity d5 orientation-1 retained compression loses -1/3", "helicity d5 orientation-1 retained compression loses -1/4", "helicity d5 orientation-1 joint multiplicity -1/-1", "helicity d5 orientation-1 positive projector q0", "helicity d5 orientation-1 overlap -1/-1/q0", "helicity d5 orientation-1 positive helicity multiplicity -1/q0", "helicity d5 orientation-1 positive projector q4", "helicity d5 orientation-1 overlap -1/-1/q4", "helicity d5 orientation-1 positive helicity multiplicity -1/q4", "helicity d5 orientation-1 joint multiplicity -1/1", "helicity d5 orientation-1 positive projector q0", "helicity d5 orientation-1 overlap -1/1/q0", "helicity d5 orientation-1 positive helicity multiplicity 1/q0", "helicity d5 orientation-1 positive projector q4", "helicity d5 orientation-1 overlap -1/1/q4", "helicity d5 orientation-1 positive helicity multiplicity 1/q4", "helicity d5 orientation-1 retained compression loses 1/3", "helicity d5 orientation-1 retained compression loses 1/4", "helicity d5 orientation-1 joint multiplicity 1/-1", "helicity d5 orientation-1 positive projector q0", "helicity d5 orientation-1 overlap 1/-1/q0", "helicity d5 orientation-1 positive helicity multiplicity -1/q0", "helicity d5 orientation-1 positive projector q4", "helicity d5 orientation-1 overlap 1/-1/q4", "helicity d5 orientation-1 positive helicity multiplicity -1/q4", "helicity d5 orientation-1 joint multiplicity 1/1", "helicity d5 orientation-1 positive projector q0", "helicity d5 orientation-1 overlap 1/1/q0", "helicity d5 orientation-1 positive helicity multiplicity 1/q0", "helicity d5 orientation-1 positive projector q4", "helicity d5 orientation-1 overlap 1/1/q4", "helicity d5 orientation-1 positive helicity multiplicity 1/q4", "helicity d5 orientation-1 five-volume relation", "helicity d5 orientation-1 selected five-volume scalar", "helicity d5 orientation-1 both normal plane signs", "helicity d5 orientation1 gamma3 factorization", "helicity d5 orientation1 commuting involutions", "helicity d5 orientation1 extra h commute 3", "helicity d5 orientation1 extra volume reverse 3", "helicity d5 orientation1 extra h commute 4", "helicity d5 orientation1 extra volume reverse 4", "helicity d5 orientation1 retained compression loses -1/3", "helicity d5 orientation1 retained compression loses -1/4", "helicity d5 orientation1 joint multiplicity -1/-1", "helicity d5 orientation1 positive projector q0", "helicity d5 orientation1 overlap -1/-1/q0", "helicity d5 orientation1 positive helicity multiplicity -1/q0", "helicity d5 orientation1 positive projector q4", "helicity d5 orientation1 overlap -1/-1/q4", "helicity d5 orientation1 positive helicity multiplicity -1/q4", "helicity d5 orientation1 joint multiplicity -1/1", "helicity d5 orientation1 positive projector q0", "helicity d5 orientation1 overlap -1/1/q0", "helicity d5 orientation1 positive helicity multiplicity 1/q0", "helicity d5 orientation1 positive projector q4", "helicity d5 orientation1 overlap -1/1/q4", "helicity d5 orientation1 positive helicity multiplicity 1/q4", "helicity d5 orientation1 retained compression loses 1/3", "helicity d5 orientation1 retained compression loses 1/4", "helicity d5 orientation1 joint multiplicity 1/-1", "helicity d5 orientation1 positive projector q0", "helicity d5 orientation1 overlap 1/-1/q0", "helicity d5 orientation1 positive helicity multiplicity -1/q0", "helicity d5 orientation1 positive projector q4", "helicity d5 orientation1 overlap 1/-1/q4", "helicity d5 orientation1 positive helicity multiplicity -1/q4", "helicity d5 orientation1 joint multiplicity 1/1", "helicity d5 orientation1 positive projector q0", "helicity d5 orientation1 overlap 1/1/q0", "helicity d5 orientation1 positive helicity multiplicity 1/q0", "helicity d5 orientation1 positive projector q4", "helicity d5 orientation1 overlap 1/1/q4", "helicity d5 orientation1 positive helicity multiplicity 1/q4", "helicity d5 orientation1 five-volume relation", "helicity d5 orientation1 selected five-volume scalar", "helicity d5 orientation1 both normal plane signs", "helicity d6 orientation1 gamma3 factorization", "helicity d6 orientation1 commuting involutions", "helicity d6 orientation1 extra h commute 3", "helicity d6 orientation1 extra volume reverse 3", "helicity d6 orientation1 extra h commute 4", "helicity d6 orientation1 extra volume reverse 4", "helicity d6 orientation1 extra h commute 5", "helicity d6 orientation1 extra volume reverse 5", "helicity d6 orientation1 retained compression loses -1/3", "helicity d6 orientation1 retained compression loses -1/4", "helicity d6 orientation1 retained compression loses -1/5", "helicity d6 orientation1 joint multiplicity -1/-1", "helicity d6 orientation1 positive projector q0", "helicity d6 orientation1 overlap -1/-1/q0", "helicity d6 orientation1 positive helicity multiplicity -1/q0", "helicity d6 orientation1 positive projector q4", "helicity d6 orientation1 overlap -1/-1/q4", "helicity d6 orientation1 positive helicity multiplicity -1/q4", "helicity d6 orientation1 joint multiplicity -1/1", "helicity d6 orientation1 positive projector q0", "helicity d6 orientation1 overlap -1/1/q0", "helicity d6 orientation1 positive helicity multiplicity 1/q0", "helicity d6 orientation1 positive projector q4", "helicity d6 orientation1 overlap -1/1/q4", "helicity d6 orientation1 positive helicity multiplicity 1/q4", "helicity d6 orientation1 retained compression loses 1/3", "helicity d6 orientation1 retained compression loses 1/4", "helicity d6 orientation1 retained compression loses 1/5", "helicity d6 orientation1 joint multiplicity 1/-1", "helicity d6 orientation1 positive projector q0", "helicity d6 orientation1 overlap 1/-1/q0", "helicity d6 orientation1 positive helicity multiplicity -1/q0", "helicity d6 orientation1 positive projector q4", "helicity d6 orientation1 overlap 1/-1/q4", "helicity d6 orientation1 positive helicity multiplicity -1/q4", "helicity d6 orientation1 joint multiplicity 1/1", "helicity d6 orientation1 positive projector q0", "helicity d6 orientation1 overlap 1/1/q0", "helicity d6 orientation1 positive helicity multiplicity 1/q0", "helicity d6 orientation1 positive projector q4", "helicity d6 orientation1 overlap 1/1/q4", "helicity d6 orientation1 positive helicity multiplicity 1/q4", "helicity d10 orientation1 gamma3 factorization", "helicity d10 orientation1 commuting involutions", "helicity d10 orientation1 extra h commute 3", "helicity d10 orientation1 extra volume reverse 3", "helicity d10 orientation1 extra h commute 4", "helicity d10 orientation1 extra volume reverse 4", "helicity d10 orientation1 extra h commute 5", "helicity d10 orientation1 extra volume reverse 5", "helicity d10 orientation1 extra h commute 6", "helicity d10 orientation1 extra volume reverse 6", "helicity d10 orientation1 extra h commute 7", "helicity d10 orientation1 extra volume reverse 7", "helicity d10 orientation1 extra h commute 8", "helicity d10 orientation1 extra volume reverse 8", "helicity d10 orientation1 extra h commute 9", "helicity d10 orientation1 extra volume reverse 9", "helicity d10 orientation1 retained compression loses -1/3", "helicity d10 orientation1 retained compression loses -1/4", "helicity d10 orientation1 retained compression loses -1/5", "helicity d10 orientation1 retained compression loses -1/6", "helicity d10 orientation1 retained compression loses -1/7", "helicity d10 orientation1 retained compression loses -1/8", "helicity d10 orientation1 retained compression loses -1/9", "helicity d10 orientation1 joint multiplicity -1/-1", "helicity d10 orientation1 positive projector q0", "helicity d10 orientation1 overlap -1/-1/q0", "helicity d10 orientation1 positive helicity multiplicity -1/q0", "helicity d10 orientation1 positive projector q4", "helicity d10 orientation1 overlap -1/-1/q4", "helicity d10 orientation1 positive helicity multiplicity -1/q4", "helicity d10 orientation1 joint multiplicity -1/1", "helicity d10 orientation1 positive projector q0", "helicity d10 orientation1 overlap -1/1/q0", "helicity d10 orientation1 positive helicity multiplicity 1/q0", "helicity d10 orientation1 positive projector q4", "helicity d10 orientation1 overlap -1/1/q4", "helicity d10 orientation1 positive helicity multiplicity 1/q4", "helicity d10 orientation1 retained compression loses 1/3", "helicity d10 orientation1 retained compression loses 1/4", "helicity d10 orientation1 retained compression loses 1/5", "helicity d10 orientation1 retained compression loses 1/6", "helicity d10 orientation1 retained compression loses 1/7", "helicity d10 orientation1 retained compression loses 1/8", "helicity d10 orientation1 retained compression loses 1/9", "helicity d10 orientation1 joint multiplicity 1/-1", "helicity d10 orientation1 positive projector q0", "helicity d10 orientation1 overlap 1/-1/q0", "helicity d10 orientation1 positive helicity multiplicity -1/q0", "helicity d10 orientation1 positive projector q4", "helicity d10 orientation1 overlap 1/-1/q4", "helicity d10 orientation1 positive helicity multiplicity -1/q4", "helicity d10 orientation1 joint multiplicity 1/1", "helicity d10 orientation1 positive projector q0", "helicity d10 orientation1 overlap 1/1/q0", "helicity d10 orientation1 positive helicity multiplicity 1/q0", "helicity d10 orientation1 positive projector q4", "helicity d10 orientation1 overlap 1/1/q4", "helicity d10 orientation1 positive helicity multiplicity 1/q4", "ambient helicity joint rank -1/-1", "ambient positive helicity rank -1", "ambient helicity joint rank -1/1", "ambient positive helicity rank 1", "ambient helicity joint rank 1/-1", "ambient positive helicity rank -1", "ambient helicity joint rank 1/1", "ambient positive helicity rank 1", "photon transverse circular weight -1", "photon transverse circular weight 1", "photon linear polarization zero axial expectation", "photon elliptical normalized", "photon elliptical axial expectation", "polarization scalar quadratic discriminant", "polarization target elliptic formula h1", "polarization target elliptic formula h-1", "polarization ellipse zero h1 sign1", "polarization common rotation zero h1 sign1", "polarization ellipse zero h1 sign-1", "polarization common rotation zero h1 sign-1", "polarization ellipse maximum h1", "polarization circular dark h1", "polarization circular bright h1", "polarization ellipse projective roots h1", "polarization rank2 no common zero h1 k(1, 0, 0)", "polarization nonzero common rotation h1 k(1, 0, 0)", "polarization rank2 no common zero h1 k(0, 1, 0)", "polarization nonzero common rotation h1 k(0, 1, 0)", "polarization rank2 no common zero h1 k(0, 0, 1)", "polarization nonzero common rotation h1 k(0, 0, 1)", "polarization rank2 no common zero h1 k(3/5, 0, 4/5)", "polarization nonzero common rotation h1 k(3/5, 0, 4/5)", "polarization ellipse zero h-1 sign1", "polarization common rotation zero h-1 sign1", "polarization ellipse zero h-1 sign-1", "polarization common rotation zero h-1 sign-1", "polarization ellipse maximum h-1", "polarization circular dark h-1", "polarization circular bright h-1", "polarization ellipse projective roots h-1", "polarization rank2 no common zero h-1 k(1, 0, 0)", "polarization nonzero common rotation h-1 k(1, 0, 0)", "polarization rank2 no common zero h-1 k(0, 1, 0)", "polarization nonzero common rotation h-1 k(0, 1, 0)", "polarization rank2 no common zero h-1 k(0, 0, 1)", "polarization nonzero common rotation h-1 k(0, 0, 1)", "polarization rank2 no common zero h-1 k(3/5, 0, 4/5)", "polarization nonzero common rotation h-1 k(3/5, 0, 4/5)", "polarization zero factorization on unit sphere", "polarization circular quartic strength", "polarization ellipse simple strength", "polarization ellipse helicity sum (1, 0, 0)", "polarization ellipse helicity sum (0, 1, 0)", "polarization ellipse helicity sum (0, 0, 1)", "polarization null-kernel direction sign", "polarization null-kernel helicity", "polarization arbitrary incident rank2 dark control", "fixed normal weight rational generating identity", "fixed normal weights share leading singularity", "fixed normal weights share first numerator derivative", "normal trace branching dimension 0/0", "normal trace branching dimension 0/1", "normal trace branching dimension 0/2", "normal trace branching dimension 0/3", "normal trace branching dimension 0/4", "normal trace branching dimension 0/5", "normal trace branching dimension 0/6", "normal trace branching dimension 0/7", "normal trace branching dimension 1/0", "normal trace branching dimension 1/1", "normal trace branching dimension 1/2", "normal trace branching dimension 1/3", "normal trace branching dimension 1/4", "normal trace branching dimension 1/5", "normal trace branching dimension 1/6", "normal trace branching dimension 1/7", "normal trace branching dimension 2/0", "normal trace branching dimension 2/1", "normal trace branching dimension 2/2", "normal trace branching dimension 2/3", "normal trace branching dimension 2/4", "normal trace branching dimension 2/5", "normal trace branching dimension 2/6", "normal trace branching dimension 2/7", "normal trace branching dimension 3/0", "normal trace branching dimension 3/1", "normal trace branching dimension 3/2", "normal trace branching dimension 3/3", "normal trace branching dimension 3/4", "normal trace branching dimension 3/5", "normal trace branching dimension 3/6", "normal trace branching dimension 3/7", "normal trace branching dimension 4/0", "normal trace branching dimension 4/1", "normal trace branching dimension 4/2", "normal trace branching dimension 4/3", "normal trace branching dimension 4/4", "normal trace branching dimension 4/5", "normal trace branching dimension 4/6", "normal trace branching dimension 4/7", "normal trace branching dimension 5/0", "normal trace branching dimension 5/1", "normal trace branching dimension 5/2", "normal trace branching dimension 5/3", "normal trace branching dimension 5/4", "normal trace branching dimension 5/5", "normal trace branching dimension 5/6", "normal trace branching dimension 5/7", "normal trace branching dimension 6/0", "normal trace branching dimension 6/1", "normal trace branching dimension 6/2", "normal trace branching dimension 6/3", "normal trace branching dimension 6/4", "normal trace branching dimension 6/5", "normal trace branching dimension 6/6", "normal trace branching dimension 6/7", "normal trace branching dimension 7/0", "normal trace branching dimension 7/1", "normal trace branching dimension 7/2", "normal trace branching dimension 7/3", "normal trace branching dimension 7/4", "normal trace branching dimension 7/5", "normal trace branching dimension 7/6", "normal trace branching dimension 7/7", "refined band retains full spatial count 1/0", "refined band conjugate weight symmetry 1/0", "refined band retains full spatial count 1/1", "refined band conjugate weight symmetry 1/1", "refined band retains full spatial count 1/2", "refined band conjugate weight symmetry 1/2", "refined band retains full spatial count 1/3", "refined band conjugate weight symmetry 1/3", "refined band retains full spatial count 1/4", "refined band conjugate weight symmetry 1/4", "refined band retains full spatial count 1/5", "refined band conjugate weight symmetry 1/5", "refined band retains full spatial count 2/0", "refined band conjugate weight symmetry 2/0", "refined complex plane Pascal recursion 2/0", "refined band retains full spatial count 2/1", "refined band conjugate weight symmetry 2/1", "refined complex plane Pascal recursion 2/1", "refined band retains full spatial count 2/2", "refined band conjugate weight symmetry 2/2", "refined complex plane Pascal recursion 2/2", "refined band retains full spatial count 2/3", "refined band conjugate weight symmetry 2/3", "refined complex plane Pascal recursion 2/3", "refined band retains full spatial count 2/4", "refined band conjugate weight symmetry 2/4", "refined complex plane Pascal recursion 2/4", "refined band retains full spatial count 2/5", "refined band conjugate weight symmetry 2/5", "refined complex plane Pascal recursion 2/5", "refined band retains full spatial count 3/0", "refined band conjugate weight symmetry 3/0", "refined complex plane Pascal recursion 3/0", "refined band retains full spatial count 3/1", "refined band conjugate weight symmetry 3/1", "refined complex plane Pascal recursion 3/1", "refined band retains full spatial count 3/2", "refined band conjugate weight symmetry 3/2", "refined complex plane Pascal recursion 3/2", "refined band retains full spatial count 3/3", "refined band conjugate weight symmetry 3/3", "refined complex plane Pascal recursion 3/3", "refined band retains full spatial count 3/4", "refined band conjugate weight symmetry 3/4", "refined complex plane Pascal recursion 3/4", "refined band retains full spatial count 3/5", "refined band conjugate weight symmetry 3/5", "refined complex plane Pascal recursion 3/5", "normalized flag unit identity -1", "normalized flag derivative index -1", "normalized flag alignment derivative zero -1", "normalized flag unit identity 1", "normalized flag derivative index 1", "normalized flag alignment derivative zero 1", "complex point negative local index", "complex point plane reversal preserves index", "complex point bending exact square -1/4/4", "complex point bending exact square -1/0/4", "complex point bending exact square -1/0/0", "complex point bending exact square 1/4/4", "complex point bending exact square 1/0/4", "complex point bending exact square 1/0/0", "complex point forces first ladder zero -1", "complex point forces first ladder zero 1", "complex point need not zero cubic ladder", "complex point need not zero lower-flag ladder", "one-zero clutch unitary determinant one", "one-zero clutch constant exterior section", "literal flag projection Hessian obstruction", "Bott conjugation square m1", "Bott conjugation parity m1", "Bott conjugation reporting phase m1", "Bott conjugation determinant weight m1", "Bott conjugation original phase reversal m1", "Bott full normal conjugation commutant m1/0", "Bott full normal conjugation commutant m1/1", "Bott E unitary normal connection dimension m1", "odd extension removes paired freedom m1", "Bott conjugation square m2", "Bott conjugation parity m2", "Bott conjugation reporting phase m2", "Bott conjugation determinant weight m2", "Bott conjugation original phase reversal m2", "Bott full normal conjugation commutant m2/0", "Bott full normal conjugation commutant m2/1", "Bott full normal conjugation commutant m2/2", "Bott full normal conjugation commutant m2/3", "Bott E unitary normal connection dimension m2", "odd extension removes paired freedom m2", "Bott conjugation square m3", "Bott conjugation parity m3", "Bott conjugation reporting phase m3", "Bott conjugation determinant weight m3", "Bott conjugation original phase reversal m3", "Bott full normal conjugation commutant m3/0", "Bott full normal conjugation commutant m3/1", "Bott full normal conjugation commutant m3/2", "Bott full normal conjugation commutant m3/3", "Bott full normal conjugation commutant m3/4", "Bott full normal conjugation commutant m3/5", "Bott E unitary normal connection dimension m3", "odd extension removes paired freedom m3", "Bott conjugation square m4", "Bott conjugation parity m4", "Bott conjugation reporting phase m4", "Bott conjugation determinant weight m4", "Bott conjugation original phase reversal m4", "Bott full normal conjugation commutant m4/0", "Bott full normal conjugation commutant m4/1", "Bott full normal conjugation commutant m4/2", "Bott full normal conjugation commutant m4/3", "Bott full normal conjugation commutant m4/4", "Bott full normal conjugation commutant m4/5", "Bott full normal conjugation commutant m4/6", "Bott full normal conjugation commutant m4/7", "Bott E unitary normal connection dimension m4", "odd extension removes paired freedom m4", "Bott conjugation square m5", "Bott conjugation parity m5", "Bott conjugation reporting phase m5", "Bott conjugation determinant weight m5", "Bott conjugation original phase reversal m5", "Bott full normal conjugation commutant m5/0", "Bott full normal conjugation commutant m5/1", "Bott full normal conjugation commutant m5/2", "Bott full normal conjugation commutant m5/3", "Bott full normal conjugation commutant m5/4", "Bott full normal conjugation commutant m5/5", "Bott full normal conjugation commutant m5/6", "Bott full normal conjugation commutant m5/7", "Bott full normal conjugation commutant m5/8", "Bott full normal conjugation commutant m5/9", "Bott E unitary normal connection dimension m5", "odd extension removes paired freedom m5", "ambient complex cross Gram identity 0", "ambient curvature ladder Cauchy bound 0", "ambient curvature scalar deficit bound 0", "ambient curvature bound sharp nonzero witness", "ambient complex cross Gram identity 1", "ambient curvature ladder Cauchy bound 1", "ambient curvature scalar deficit bound 1", "ambient complex cross Gram identity 2", "ambient curvature ladder Cauchy bound 2", "ambient curvature scalar deficit bound 2", "ambient complex cross Gram identity 3", "ambient curvature ladder Cauchy bound 3", "ambient curvature scalar deficit bound 3", "pure spinor nullity m1/vacuum", "pure spinor real bilinear m1/vacuum", "pure spinor skew bilinear m1/vacuum", "pure spinor phase independent m1/vacuum", "pure spinor complex structure m1/vacuum", "pure spinor annihilator isotropic m1/vacuum", "pure spinor annihilator eigenplane m1/vacuum", "pure spinor opposite chirality m1/vacuum", "pure spinor rotation covariance m1/vacuum", "pure spinor nullity m2/vacuum", "pure spinor real bilinear m2/vacuum", "pure spinor skew bilinear m2/vacuum", "pure spinor phase independent m2/vacuum", "pure spinor complex structure m2/vacuum", "pure spinor annihilator isotropic m2/vacuum", "pure spinor annihilator eigenplane m2/vacuum", "pure spinor opposite chirality m2/vacuum", "pure spinor rotation covariance m2/vacuum", "pure spinor nullity m2/twoform", "pure spinor real bilinear m2/twoform", "pure spinor skew bilinear m2/twoform", "pure spinor phase independent m2/twoform", "pure spinor complex structure m2/twoform", "pure spinor annihilator isotropic m2/twoform", "pure spinor annihilator eigenplane m2/twoform", "pure spinor opposite chirality m2/twoform", "pure spinor rotation covariance m2/twoform", "pure spinor nullity m3/vacuum", "pure spinor real bilinear m3/vacuum", "pure spinor skew bilinear m3/vacuum", "pure spinor phase independent m3/vacuum", "pure spinor complex structure m3/vacuum", "pure spinor annihilator isotropic m3/vacuum", "pure spinor annihilator eigenplane m3/vacuum", "pure spinor opposite chirality m3/vacuum", "pure spinor rotation covariance m3/vacuum", "pure spinor nullity m3/twoform", "pure spinor real bilinear m3/twoform", "pure spinor skew bilinear m3/twoform", "pure spinor phase independent m3/twoform", "pure spinor complex structure m3/twoform", "pure spinor annihilator isotropic m3/twoform", "pure spinor annihilator eigenplane m3/twoform", "pure spinor opposite chirality m3/twoform", "pure spinor rotation covariance m3/twoform", "pure spinor nullity m3/mixed", "pure spinor real bilinear m3/mixed", "pure spinor skew bilinear m3/mixed", "pure spinor phase independent m3/mixed", "pure spinor complex structure m3/mixed", "pure spinor annihilator isotropic m3/mixed", "pure spinor annihilator eigenplane m3/mixed", "pure spinor opposite chirality m3/mixed", "pure spinor rotation covariance m3/mixed", "pure spinor nullity m3/no-vacuum", "pure spinor real bilinear m3/no-vacuum", "pure spinor skew bilinear m3/no-vacuum", "pure spinor phase independent m3/no-vacuum", "pure spinor complex structure m3/no-vacuum", "pure spinor annihilator isotropic m3/no-vacuum", "pure spinor annihilator eigenplane m3/no-vacuum", "pure spinor opposite chirality m3/no-vacuum", "pure spinor rotation covariance m3/no-vacuum", "pure spinor nullity m4/vacuum", "pure spinor real bilinear m4/vacuum", "pure spinor skew bilinear m4/vacuum", "pure spinor phase independent m4/vacuum", "pure spinor complex structure m4/vacuum", "pure spinor annihilator isotropic m4/vacuum", "pure spinor annihilator eigenplane m4/vacuum", "pure spinor opposite chirality m4/vacuum", "pure spinor rotation covariance m4/vacuum", "pure spinor nullity m4/impure", "pure spinor real bilinear m4/impure", "pure spinor skew bilinear m4/impure", "pure spinor phase independent m4/impure", "pure spinor complex structure m4/impure", "pure spinor nullity m5/vacuum", "pure spinor real bilinear m5/vacuum", "pure spinor skew bilinear m5/vacuum", "pure spinor phase independent m5/vacuum", "pure spinor complex structure m5/vacuum", "pure spinor annihilator isotropic m5/vacuum", "pure spinor annihilator eigenplane m5/vacuum", "pure spinor opposite chirality m5/vacuum", "pure spinor rotation covariance m5/vacuum", "pure spinor nullity m5/impure", "pure spinor real bilinear m5/impure", "pure spinor skew bilinear m5/impure", "pure spinor phase independent m5/impure", "pure spinor complex structure m5/impure", "normal vector real form squares identity", "quadratic normal vector Plucker identity", "quadratic normal rank detects frame 0", "quadratic normal vector norm 0", "quadratic normal vector null 0", "quadratic normal real frame 0", "quadratic normal equal lengths 0", "quadratic normal orthogonal frame 0", "quadratic normal positive real metric 0", "quadratic normal phase doubling 0", "quadratic normal auxiliary invariance 0", "quadratic normal real covariance 0/0", "quadratic normal metric covariance 0/0", "quadratic normal state covariance 0/0", "quadratic normal real covariance 0/1", "quadratic normal metric covariance 0/1", "quadratic normal state covariance 0/1", "quadratic normal rank detects frame 1", "quadratic normal vector norm 1", "quadratic normal vector null 1", "quadratic normal real frame 1", "quadratic normal equal lengths 1", "quadratic normal orthogonal frame 1", "quadratic normal positive real metric 1", "quadratic normal phase doubling 1", "quadratic normal auxiliary invariance 1", "quadratic normal real covariance 1/0", "quadratic normal metric covariance 1/0", "quadratic normal state covariance 1/0", "quadratic normal real covariance 1/1", "quadratic normal metric covariance 1/1", "quadratic normal state covariance 1/1", "quadratic normal rank detects frame 2", "quadratic normal vector norm 2", "quadratic normal vector null 2", "quadratic normal real frame 2", "quadratic normal equal lengths 2", "quadratic normal orthogonal frame 2", "quadratic normal positive real metric 2", "quadratic normal phase doubling 2", "quadratic normal auxiliary invariance 2", "quadratic normal real covariance 2/0", "quadratic normal metric covariance 2/0", "quadratic normal state covariance 2/0", "quadratic normal real covariance 2/1", "quadratic normal metric covariance 2/1", "quadratic normal state covariance 2/1", "quadratic normal rank detects frame 3", "quadratic normal vector norm 3", "quadratic normal vector null 3", "quadratic normal real frame 3", "quadratic normal equal lengths 3", "quadratic normal orthogonal frame 3", "quadratic normal positive real metric 3", "quadratic normal phase doubling 3", "quadratic normal auxiliary invariance 3", "quadratic normal real covariance 3/0", "quadratic normal metric covariance 3/0", "quadratic normal state covariance 3/0", "quadratic normal real covariance 3/1", "quadratic normal metric covariance 3/1", "quadratic normal state covariance 3/1", "generic polarization stabilizer witness", "generic polarization simple spectral ray", "equal polarization larger stabilizer witness", "equal polarization ray ambiguity witness", "all dimension impure witness m4", "all dimension impure witness m5", "all dimension impure witness m6", "all dimension impure witness m7", "odd purity comparison m1", "odd purity comparison m2", "odd purity comparison m3", "odd purity comparison m4", "odd purity comparison m5", "enlarged carrier nonabelian control m1", "enlarged carrier metric J control m1/0", "enlarged carrier Clifford control m1/0/0", "enlarged carrier Clifford control m1/0/1", "enlarged carrier metric J control m1/1", "enlarged carrier Clifford control m1/1/0", "enlarged carrier Clifford control m1/1/1", "enlarged carrier nonabelian control m2", "enlarged carrier metric J control m2/0", "enlarged carrier Clifford control m2/0/0", "enlarged carrier Clifford control m2/0/1", "enlarged carrier Clifford control m2/0/2", "enlarged carrier Clifford control m2/0/3", "enlarged carrier metric J control m2/1", "enlarged carrier Clifford control m2/1/0", "enlarged carrier Clifford control m2/1/1", "enlarged carrier Clifford control m2/1/2", "enlarged carrier Clifford control m2/1/3", "vacuum aligned spectral block", "vacuum incidence does not select eigenline", "vacuum zero eigenvalue need not be rank one triplet", "auxiliary rotation retains normal spectral geometry", "auxiliary axis can change at fixed normal geometry", "charge operator changes with auxiliary axis", "changed charge axis retains weight spectrum", "auxiliary Pontryagin Euler identity", "original determinant square nonzero", "reconstructed determinant square differs", "same normal Pontryagin does not imply auxiliary match", "normal real frame coordinate basis unitary", "derived normalized quadratic frame differential", "derived normal plane projector differential", "phase moves frame but not plane", "spectral geometry can move at stationary quadratic frame", "spectral gradient sharp gap witness", "pure spinor J differential metric 3/1", "pure spinor J differential metric 3/I", "pure spinor J differential metric 5/1", "pure spinor J differential metric 5/I", "pure spinor J differential metric 6/1", "pure spinor J differential metric 6/I", "parallel normal J anisotropic frame differential", "parallel normal J sharp cubic transition bound", "transition alpha unit tangency 0", "transition complement 0", "transition beta3 normalization 0", "transition joint norm identity 0", "transition joint bending bound 0", "transition sigma decomposable 0", "transition complex plane degree one zero 0", "transition alpha unit tangency 1", "transition complement 1", "transition beta3 normalization 1", "transition joint norm identity 1", "transition joint bending bound 1", "transition sigma decomposable 1", "transition complex plane degree one zero 1", "transition alpha unit tangency 2", "transition complement 2", "transition beta3 normalization 2", "transition joint norm identity 2", "transition joint bending bound 2", "transition sigma decomposable 2", "transition complex plane degree one zero 2", "transition alpha unit tangency 3", "transition complement 3", "transition beta3 normalization 3", "transition joint norm identity 3", "transition joint bending bound 3", "transition sigma decomposable 3", "transition complex plane degree one zero 3", "transition C only exact", "transition S only exact", "transition C only leakage rank two", "transition S only leakage rank three", "transition sharp joint bound 0", "transition sharp joint bound 1", "transition C contact Gram", "transition C cubic volume transfer fails", "transition envelope fixed C", "transition envelope stationary cubic", "transition envelope sharp equality", "ambient all gap spin lift residual m1", "ambient all gap volume reporting phase m1", "ambient all gap neutral tangent m1/0", "ambient all gap neutral tangent m1/1", "ambient all gap neutral tangent m1/2", "ambient all gap neutral tangent m1/3", "ambient all gap neutral tangent m1/4", "ambient all gap neutral tangent m1/5", "ambient all gap neutral tangent m1/6", "ambient all gap neutral tangent m1/7", "ambient all gap covariant normal m1/0", "ambient all gap covariant normal m1/1", "ambient all gap Clifford squares m1/0", "ambient all gap Clifford squares m1/1", "ambient all gap Clifford cross m1/1/0", "ambient all gap Clifford squares m1/2", "ambient all gap Clifford cross m1/2/0", "ambient all gap Clifford cross m1/2/1", "ambient all gap Clifford squares m1/3", "ambient all gap Clifford cross m1/3/0", "ambient all gap Clifford cross m1/3/1", "ambient all gap Clifford cross m1/3/2", "ambient all gap Clifford squares m1/4", "ambient all gap Clifford cross m1/4/0", "ambient all gap Clifford cross m1/4/1", "ambient all gap Clifford cross m1/4/2", "ambient all gap Clifford cross m1/4/3", "ambient all gap Clifford squares m1/5", "ambient all gap Clifford cross m1/5/0", "ambient all gap Clifford cross m1/5/1", "ambient all gap Clifford cross m1/5/2", "ambient all gap Clifford cross m1/5/3", "ambient all gap Clifford cross m1/5/4", "ambient all gap Clifford squares m1/6", "ambient all gap Clifford cross m1/6/0", "ambient all gap Clifford cross m1/6/1", "ambient all gap Clifford cross m1/6/2", "ambient all gap Clifford cross m1/6/3", "ambient all gap Clifford cross m1/6/4", "ambient all gap Clifford cross m1/6/5", "ambient all gap Clifford squares m1/7", "ambient all gap Clifford cross m1/7/0", "ambient all gap Clifford cross m1/7/1", "ambient all gap Clifford cross m1/7/2", "ambient all gap Clifford cross m1/7/3", "ambient all gap Clifford cross m1/7/4", "ambient all gap Clifford cross m1/7/5", "ambient all gap Clifford cross m1/7/6", "ambient all gap Clifford squares m1/8", "ambient all gap Clifford cross m1/8/0", "ambient all gap Clifford cross m1/8/1", "ambient all gap Clifford cross m1/8/2", "ambient all gap Clifford cross m1/8/3", "ambient all gap Clifford cross m1/8/4", "ambient all gap Clifford cross m1/8/5", "ambient all gap Clifford cross m1/8/6", "ambient all gap Clifford cross m1/8/7", "ambient all gap Clifford squares m1/9", "ambient all gap Clifford cross m1/9/0", "ambient all gap Clifford cross m1/9/1", "ambient all gap Clifford cross m1/9/2", "ambient all gap Clifford cross m1/9/3", "ambient all gap Clifford cross m1/9/4", "ambient all gap Clifford cross m1/9/5", "ambient all gap Clifford cross m1/9/6", "ambient all gap Clifford cross m1/9/7", "ambient all gap Clifford cross m1/9/8", "ambient all gap real structure m1", "ambient all gap real structure I reversal m1", "ambient all gap J parity m1", "ambient all gap real structure Clifford m1/0", "ambient all gap real structure Clifford m1/1", "ambient all gap real structure Clifford m1/2", "ambient all gap real structure Clifford m1/3", "ambient all gap real structure Clifford m1/4", "ambient all gap real structure Clifford m1/5", "ambient all gap real structure Clifford m1/6", "ambient all gap real structure Clifford m1/7", "ambient all gap real structure Clifford m1/8", "ambient all gap real structure Clifford m1/9", "ambient all gap spin lift residual m2", "ambient all gap volume reporting phase m2", "ambient all gap neutral tangent m2/0", "ambient all gap neutral tangent m2/1", "ambient all gap neutral tangent m2/2", "ambient all gap neutral tangent m2/3", "ambient all gap neutral tangent m2/4", "ambient all gap neutral tangent m2/5", "ambient all gap covariant normal m2/0", "ambient all gap covariant normal m2/1", "ambient all gap covariant normal m2/2", "ambient all gap covariant normal m2/3", "ambient all gap Clifford squares m2/0", "ambient all gap Clifford squares m2/1", "ambient all gap Clifford cross m2/1/0", "ambient all gap Clifford squares m2/2", "ambient all gap Clifford cross m2/2/0", "ambient all gap Clifford cross m2/2/1", "ambient all gap Clifford squares m2/3", "ambient all gap Clifford cross m2/3/0", "ambient all gap Clifford cross m2/3/1", "ambient all gap Clifford cross m2/3/2", "ambient all gap Clifford squares m2/4", "ambient all gap Clifford cross m2/4/0", "ambient all gap Clifford cross m2/4/1", "ambient all gap Clifford cross m2/4/2", "ambient all gap Clifford cross m2/4/3", "ambient all gap Clifford squares m2/5", "ambient all gap Clifford cross m2/5/0", "ambient all gap Clifford cross m2/5/1", "ambient all gap Clifford cross m2/5/2", "ambient all gap Clifford cross m2/5/3", "ambient all gap Clifford cross m2/5/4", "ambient all gap Clifford squares m2/6", "ambient all gap Clifford cross m2/6/0", "ambient all gap Clifford cross m2/6/1", "ambient all gap Clifford cross m2/6/2", "ambient all gap Clifford cross m2/6/3", "ambient all gap Clifford cross m2/6/4", "ambient all gap Clifford cross m2/6/5", "ambient all gap Clifford squares m2/7", "ambient all gap Clifford cross m2/7/0", "ambient all gap Clifford cross m2/7/1", "ambient all gap Clifford cross m2/7/2", "ambient all gap Clifford cross m2/7/3", "ambient all gap Clifford cross m2/7/4", "ambient all gap Clifford cross m2/7/5", "ambient all gap Clifford cross m2/7/6", "ambient all gap Clifford squares m2/8", "ambient all gap Clifford cross m2/8/0", "ambient all gap Clifford cross m2/8/1", "ambient all gap Clifford cross m2/8/2", "ambient all gap Clifford cross m2/8/3", "ambient all gap Clifford cross m2/8/4", "ambient all gap Clifford cross m2/8/5", "ambient all gap Clifford cross m2/8/6", "ambient all gap Clifford cross m2/8/7", "ambient all gap Clifford squares m2/9", "ambient all gap Clifford cross m2/9/0", "ambient all gap Clifford cross m2/9/1", "ambient all gap Clifford cross m2/9/2", "ambient all gap Clifford cross m2/9/3", "ambient all gap Clifford cross m2/9/4", "ambient all gap Clifford cross m2/9/5", "ambient all gap Clifford cross m2/9/6", "ambient all gap Clifford cross m2/9/7", "ambient all gap Clifford cross m2/9/8", "ambient all gap real structure m2", "ambient all gap real structure I reversal m2", "ambient all gap J parity m2", "ambient all gap real structure Clifford m2/0", "ambient all gap real structure Clifford m2/1", "ambient all gap real structure Clifford m2/2", "ambient all gap real structure Clifford m2/3", "ambient all gap real structure Clifford m2/4", "ambient all gap real structure Clifford m2/5", "ambient all gap real structure Clifford m2/6", "ambient all gap real structure Clifford m2/7", "ambient all gap real structure Clifford m2/8", "ambient all gap real structure Clifford m2/9", "ambient all gap spin lift residual m3", "ambient all gap volume reporting phase m3", "ambient all gap neutral tangent m3/0", "ambient all gap neutral tangent m3/1", "ambient all gap neutral tangent m3/2", "ambient all gap neutral tangent m3/3", "ambient all gap covariant normal m3/0", "ambient all gap covariant normal m3/1", "ambient all gap covariant normal m3/2", "ambient all gap covariant normal m3/3", "ambient all gap covariant normal m3/4", "ambient all gap covariant normal m3/5", "ambient all gap Clifford squares m3/0", "ambient all gap Clifford squares m3/1", "ambient all gap Clifford cross m3/1/0", "ambient all gap Clifford squares m3/2", "ambient all gap Clifford cross m3/2/0", "ambient all gap Clifford cross m3/2/1", "ambient all gap Clifford squares m3/3", "ambient all gap Clifford cross m3/3/0", "ambient all gap Clifford cross m3/3/1", "ambient all gap Clifford cross m3/3/2", "ambient all gap Clifford squares m3/4", "ambient all gap Clifford cross m3/4/0", "ambient all gap Clifford cross m3/4/1", "ambient all gap Clifford cross m3/4/2", "ambient all gap Clifford cross m3/4/3", "ambient all gap Clifford squares m3/5", "ambient all gap Clifford cross m3/5/0", "ambient all gap Clifford cross m3/5/1", "ambient all gap Clifford cross m3/5/2", "ambient all gap Clifford cross m3/5/3", "ambient all gap Clifford cross m3/5/4", "ambient all gap Clifford squares m3/6", "ambient all gap Clifford cross m3/6/0", "ambient all gap Clifford cross m3/6/1", "ambient all gap Clifford cross m3/6/2", "ambient all gap Clifford cross m3/6/3", "ambient all gap Clifford cross m3/6/4", "ambient all gap Clifford cross m3/6/5", "ambient all gap Clifford squares m3/7", "ambient all gap Clifford cross m3/7/0", "ambient all gap Clifford cross m3/7/1", "ambient all gap Clifford cross m3/7/2", "ambient all gap Clifford cross m3/7/3", "ambient all gap Clifford cross m3/7/4", "ambient all gap Clifford cross m3/7/5", "ambient all gap Clifford cross m3/7/6", "ambient all gap Clifford squares m3/8", "ambient all gap Clifford cross m3/8/0", "ambient all gap Clifford cross m3/8/1", "ambient all gap Clifford cross m3/8/2", "ambient all gap Clifford cross m3/8/3", "ambient all gap Clifford cross m3/8/4", "ambient all gap Clifford cross m3/8/5", "ambient all gap Clifford cross m3/8/6", "ambient all gap Clifford cross m3/8/7", "ambient all gap Clifford squares m3/9", "ambient all gap Clifford cross m3/9/0", "ambient all gap Clifford cross m3/9/1", "ambient all gap Clifford cross m3/9/2", "ambient all gap Clifford cross m3/9/3", "ambient all gap Clifford cross m3/9/4", "ambient all gap Clifford cross m3/9/5", "ambient all gap Clifford cross m3/9/6", "ambient all gap Clifford cross m3/9/7", "ambient all gap Clifford cross m3/9/8", "ambient all gap real structure m3", "ambient all gap real structure I reversal m3", "ambient all gap J parity m3", "ambient all gap real structure Clifford m3/0", "ambient all gap real structure Clifford m3/1", "ambient all gap real structure Clifford m3/2", "ambient all gap real structure Clifford m3/3", "ambient all gap real structure Clifford m3/4", "ambient all gap real structure Clifford m3/5", "ambient all gap real structure Clifford m3/6", "ambient all gap real structure Clifford m3/7", "ambient all gap real structure Clifford m3/8", "ambient all gap real structure Clifford m3/9", "ambient all gap spin lift residual m4", "ambient all gap volume reporting phase m4", "ambient all gap neutral tangent m4/0", "ambient all gap neutral tangent m4/1", "ambient all gap covariant normal m4/0", "ambient all gap covariant normal m4/1", "ambient all gap covariant normal m4/2", "ambient all gap covariant normal m4/3", "ambient all gap covariant normal m4/4", "ambient all gap covariant normal m4/5", "ambient all gap covariant normal m4/6", "ambient all gap covariant normal m4/7", "ambient all gap Clifford squares m4/0", "ambient all gap Clifford squares m4/1", "ambient all gap Clifford cross m4/1/0", "ambient all gap Clifford squares m4/2", "ambient all gap Clifford cross m4/2/0", "ambient all gap Clifford cross m4/2/1", "ambient all gap Clifford squares m4/3", "ambient all gap Clifford cross m4/3/0", "ambient all gap Clifford cross m4/3/1", "ambient all gap Clifford cross m4/3/2", "ambient all gap Clifford squares m4/4", "ambient all gap Clifford cross m4/4/0", "ambient all gap Clifford cross m4/4/1", "ambient all gap Clifford cross m4/4/2", "ambient all gap Clifford cross m4/4/3", "ambient all gap Clifford squares m4/5", "ambient all gap Clifford cross m4/5/0", "ambient all gap Clifford cross m4/5/1", "ambient all gap Clifford cross m4/5/2", "ambient all gap Clifford cross m4/5/3", "ambient all gap Clifford cross m4/5/4", "ambient all gap Clifford squares m4/6", "ambient all gap Clifford cross m4/6/0", "ambient all gap Clifford cross m4/6/1", "ambient all gap Clifford cross m4/6/2", "ambient all gap Clifford cross m4/6/3", "ambient all gap Clifford cross m4/6/4", "ambient all gap Clifford cross m4/6/5", "ambient all gap Clifford squares m4/7", "ambient all gap Clifford cross m4/7/0", "ambient all gap Clifford cross m4/7/1", "ambient all gap Clifford cross m4/7/2", "ambient all gap Clifford cross m4/7/3", "ambient all gap Clifford cross m4/7/4", "ambient all gap Clifford cross m4/7/5", "ambient all gap Clifford cross m4/7/6", "ambient all gap Clifford squares m4/8", "ambient all gap Clifford cross m4/8/0", "ambient all gap Clifford cross m4/8/1", "ambient all gap Clifford cross m4/8/2", "ambient all gap Clifford cross m4/8/3", "ambient all gap Clifford cross m4/8/4", "ambient all gap Clifford cross m4/8/5", "ambient all gap Clifford cross m4/8/6", "ambient all gap Clifford cross m4/8/7", "ambient all gap Clifford squares m4/9", "ambient all gap Clifford cross m4/9/0", "ambient all gap Clifford cross m4/9/1", "ambient all gap Clifford cross m4/9/2", "ambient all gap Clifford cross m4/9/3", "ambient all gap Clifford cross m4/9/4", "ambient all gap Clifford cross m4/9/5", "ambient all gap Clifford cross m4/9/6", "ambient all gap Clifford cross m4/9/7", "ambient all gap Clifford cross m4/9/8", "ambient all gap real structure m4", "ambient all gap real structure I reversal m4", "ambient all gap J parity m4", "ambient all gap real structure Clifford m4/0", "ambient all gap real structure Clifford m4/1", "ambient all gap real structure Clifford m4/2", "ambient all gap real structure Clifford m4/3", "ambient all gap real structure Clifford m4/4", "ambient all gap real structure Clifford m4/5", "ambient all gap real structure Clifford m4/6", "ambient all gap real structure Clifford m4/7", "ambient all gap real structure Clifford m4/8", "ambient all gap real structure Clifford m4/9", "ambient all gap spin lift residual m5", "ambient all gap volume reporting phase m5", "ambient all gap covariant normal m5/0", "ambient all gap covariant normal m5/1", "ambient all gap covariant normal m5/2", "ambient all gap covariant normal m5/3", "ambient all gap covariant normal m5/4", "ambient all gap covariant normal m5/5", "ambient all gap covariant normal m5/6", "ambient all gap covariant normal m5/7", "ambient all gap covariant normal m5/8", "ambient all gap covariant normal m5/9", "ambient all gap Clifford squares m5/0", "ambient all gap Clifford squares m5/1", "ambient all gap Clifford cross m5/1/0", "ambient all gap Clifford squares m5/2", "ambient all gap Clifford cross m5/2/0", "ambient all gap Clifford cross m5/2/1", "ambient all gap Clifford squares m5/3", "ambient all gap Clifford cross m5/3/0", "ambient all gap Clifford cross m5/3/1", "ambient all gap Clifford cross m5/3/2", "ambient all gap Clifford squares m5/4", "ambient all gap Clifford cross m5/4/0", "ambient all gap Clifford cross m5/4/1", "ambient all gap Clifford cross m5/4/2", "ambient all gap Clifford cross m5/4/3", "ambient all gap Clifford squares m5/5", "ambient all gap Clifford cross m5/5/0", "ambient all gap Clifford cross m5/5/1", "ambient all gap Clifford cross m5/5/2", "ambient all gap Clifford cross m5/5/3", "ambient all gap Clifford cross m5/5/4", "ambient all gap Clifford squares m5/6", "ambient all gap Clifford cross m5/6/0", "ambient all gap Clifford cross m5/6/1", "ambient all gap Clifford cross m5/6/2", "ambient all gap Clifford cross m5/6/3", "ambient all gap Clifford cross m5/6/4", "ambient all gap Clifford cross m5/6/5", "ambient all gap Clifford squares m5/7", "ambient all gap Clifford cross m5/7/0", "ambient all gap Clifford cross m5/7/1", "ambient all gap Clifford cross m5/7/2", "ambient all gap Clifford cross m5/7/3", "ambient all gap Clifford cross m5/7/4", "ambient all gap Clifford cross m5/7/5", "ambient all gap Clifford cross m5/7/6", "ambient all gap Clifford squares m5/8", "ambient all gap Clifford cross m5/8/0", "ambient all gap Clifford cross m5/8/1", "ambient all gap Clifford cross m5/8/2", "ambient all gap Clifford cross m5/8/3", "ambient all gap Clifford cross m5/8/4", "ambient all gap Clifford cross m5/8/5", "ambient all gap Clifford cross m5/8/6", "ambient all gap Clifford cross m5/8/7", "ambient all gap Clifford squares m5/9", "ambient all gap Clifford cross m5/9/0", "ambient all gap Clifford cross m5/9/1", "ambient all gap Clifford cross m5/9/2", "ambient all gap Clifford cross m5/9/3", "ambient all gap Clifford cross m5/9/4", "ambient all gap Clifford cross m5/9/5", "ambient all gap Clifford cross m5/9/6", "ambient all gap Clifford cross m5/9/7", "ambient all gap Clifford cross m5/9/8", "ambient all gap real structure m5", "ambient all gap real structure I reversal m5", "ambient all gap J parity m5", "ambient all gap real structure Clifford m5/0", "ambient all gap real structure Clifford m5/1", "ambient all gap real structure Clifford m5/2", "ambient all gap real structure Clifford m5/3", "ambient all gap real structure Clifford m5/4", "ambient all gap real structure Clifford m5/5", "ambient all gap real structure Clifford m5/6", "ambient all gap real structure Clifford m5/7", "ambient all gap real structure Clifford m5/8", "ambient all gap real structure Clifford m5/9", "ambient multiplicity nonabelian skew 0", "ambient multiplicity nonabelian skew 1", "ambient multiplicity nonabelian skew 2", "ambient multiplicity nonabelian Lie bracket", "curvature bridge su2 skew 0", "curvature bridge su2 bracket 0/0", "curvature bridge su2 bracket 0/1", "curvature bridge su2 bracket 0/2", "curvature bridge su2 skew 1", "curvature bridge su2 bracket 1/0", "curvature bridge su2 bracket 1/1", "curvature bridge su2 bracket 1/2", "curvature bridge su2 skew 2", "curvature bridge su2 bracket 2/0", "curvature bridge su2 bracket 2/1", "curvature bridge su2 bracket 2/2", "curvature bridge exact spinor square", "curvature bridge null spatial covector", "curvature bridge determinant central weight", "curvature bridge double spinor phase", "curvature bridge Hermitian norm 0", "curvature bridge scalar curvature 0", "curvature bridge unit real axis 0", "curvature bridge transverse axis 0", "curvature bridge bound fraction 0", "curvature bridge Hermitian norm 1", "curvature bridge scalar curvature 1", "curvature bridge unit real axis 1", "curvature bridge transverse axis 1", "curvature bridge bound fraction 1", "curvature bridge Hermitian norm 2", "curvature bridge scalar curvature 2", "curvature bridge unit real axis 2", "curvature bridge transverse axis 2", "curvature bridge Hermitian norm 3", "curvature bridge scalar curvature 3", "curvature bridge Hermitian norm 4", "curvature bridge scalar curvature 4", "curvature bridge cofactor rule 0", "curvature bridge cofactor rule 1", "curvature bridge cofactor rule 2", "curvature bridge cofactor rule 3", "curvature bridge cofactor rule 4", "selfdual anisotropy need not give null contact", "curvature bridge full normal frame covariance 0", "curvature bridge full normal frame covariance 1", "BPST determinant connection trace 0", "BPST full coordinate curvature 0/1", "BPST full coordinate curvature 0/2", "BPST full coordinate curvature 0/3", "BPST determinant connection trace 1", "BPST full coordinate curvature 1/2", "BPST full coordinate curvature 1/3", "BPST determinant connection trace 2", "BPST full coordinate curvature 2/3", "BPST determinant connection trace 3", "charge eigenspace has one auxiliary branch 0", "charge eigenspace has one auxiliary branch -1", "charge eigenspace has one auxiliary branch 2/3", "charge eigenspace has one auxiliary branch -1/3", "charge matrix vector isometry", "charge tensor matrix action", "rank two charge variance 0", "rank two charge variance 1", "physical auxiliary density covariance", "complex auxiliary transpose convention", "charge dephasing invariant density", "charge dephasing retains two reduced axes", "charge dephasing changes density rank", "charge partial traces isolate axes", "unweighted charge support loses spectral gap", "charge relative phase preserves plane projector", "neutral support reconstructs oriented normal plane", "curvature metric normalized wedge Gram 0/0", "curvature metric normalized wedge Gram 0/1", "curvature metric normalized wedge Gram 0/2", "curvature metric normalized wedge Gram 1/0", "curvature metric normalized wedge Gram 1/1", "curvature metric normalized wedge Gram 1/2", "curvature metric normalized wedge Gram 2/0", "curvature metric normalized wedge Gram 2/1", "curvature metric normalized wedge Gram 2/2", "curvature metric Urbantke calibration", "curvature metric general wedge Gram", "curvature metric general Urbantke tensor", "curvature metric nondiagonal base covariance", "curvature metric anisotropy survives conformal reconstruction", "normal adjoint Pontryagin roots", "base Hodge Pontryagin roots 1", "round sphere chiral bundle Chern number 1", "product sphere SU2 Chern allowance 1", "base Hodge Pontryagin roots -1", "round sphere chiral bundle Chern number -1", "product sphere SU2 Chern allowance -1", "curvature normalized R4 finite escape length", "round observer vector tangent", "round observer vector norm", "round observer vector intrinsic Hessian", "round observer vector pole zero 1", "round observer vector pole index 1", "round observer vector pole zero -1", "round observer vector pole index -1", "round normal SU2 vacuum projector invariant 0", "round normal SU2 vacuum projector invariant 1", "round normal SU2 vacuum projector invariant 2", "round own sector minimal projector ranks", "round observer projector not parallel on whole base", "round observer own tangent holonomy preserves volume 0/1", "round observer own tangent holonomy preserves volume 0/2", "round observer own tangent holonomy preserves volume 1/2", "seven real Clifford skew 0", "seven real Clifford 0/0", "seven real Clifford 0/1", "seven real Clifford 0/2", "seven real Clifford 0/3", "seven real Clifford 0/4", "seven real Clifford 0/5", "seven real Clifford 0/6", "seven real Clifford skew 1", "seven real Clifford 1/0", "seven real Clifford 1/1", "seven real Clifford 1/2", "seven real Clifford 1/3", "seven real Clifford 1/4", "seven real Clifford 1/5", "seven real Clifford 1/6", "seven real Clifford skew 2", "seven real Clifford 2/0", "seven real Clifford 2/1", "seven real Clifford 2/2", "seven real Clifford 2/3", "seven real Clifford 2/4", "seven real Clifford 2/5", "seven real Clifford 2/6", "seven real Clifford skew 3", "seven real Clifford 3/0", "seven real Clifford 3/1", "seven real Clifford 3/2", "seven real Clifford 3/3", "seven real Clifford 3/4", "seven real Clifford 3/5", "seven real Clifford 3/6", "seven real Clifford skew 4", "seven real Clifford 4/0", "seven real Clifford 4/1", "seven real Clifford 4/2", "seven real Clifford 4/3", "seven real Clifford 4/4", "seven real Clifford 4/5", "seven real Clifford 4/6", "seven real Clifford skew 5", "seven real Clifford 5/0", "seven real Clifford 5/1", "seven real Clifford 5/2", "seven real Clifford 5/3", "seven real Clifford 5/4", "seven real Clifford 5/5", "seven real Clifford 5/6", "seven real Clifford skew 6", "seven real Clifford 6/0", "seven real Clifford 6/1", "seven real Clifford 6/2", "seven real Clifford 6/3", "seven real Clifford 6/4", "seven real Clifford 6/5", "seven real Clifford 6/6", "seven axis norm 0", "seven plane kernel 0", "seven transverse complex structure 0", "seven invariant discriminant 0", "seven oriented pair invariance 0/0", "seven oriented pair invariance 0/1", "seven oriented pair invariance 0/2", "seven conjugate reverses geometry 0", "seven axis norm 1", "seven plane kernel 1", "seven transverse complex structure 1", "seven invariant discriminant 1", "seven oriented pair invariance 1/0", "seven oriented pair invariance 1/1", "seven oriented pair invariance 1/2", "seven conjugate reverses geometry 1", "seven axis norm 2", "seven plane kernel 2", "seven transverse complex structure 2", "seven invariant discriminant 2", "seven oriented pair invariance 2/0", "seven oriented pair invariance 2/1", "seven oriented pair invariance 2/2", "seven conjugate reverses geometry 2", "seven axis norm 3", "seven plane kernel 3", "seven transverse complex structure 3", "seven invariant discriminant 3", "seven oriented pair invariance 3/0", "seven oriented pair invariance 3/1", "seven oriented pair invariance 3/2", "seven conjugate reverses geometry 3", "seven octonion orientation calibration", "seven phase real degeneration", "seven real spinor stabilizer dimension", "seven actual pair stabilizer dimension", "seven projective stabilizer dimension 1", "seven projective stabilizer dimension 2", "seven generic projective phase fixed", "seven invariant real pairing", "seven pairing Clifford skew 0", "seven invariant conjugation 0", "seven pairing Clifford skew 1", "seven invariant conjugation 1", "seven pairing Clifford skew 2", "seven invariant conjugation 2", "seven pairing Clifford skew 3", "seven invariant conjugation 3", "seven pairing Clifford skew 4", "seven invariant conjugation 4", "seven pairing Clifford skew 5", "seven invariant conjugation 5", "seven pairing Clifford skew 6", "seven invariant conjugation 6", "seven pure iff null controls 0", "seven pure iff null controls 1", "seven pure iff null controls 2", "seven pure iff null controls 3", "seven pure iff null controls 4", "seven equivariant purification exact", "seven purification phase covariance", "lifted quadratic normal character 0/1", "lifted quadratic normal character 0/2", "lifted quadratic normal character 0/3", "lifted quadratic normal character 1/0", "lifted quadratic normal character 1/2", "lifted quadratic normal character 1/3", "lifted quadratic normal character 2/0", "lifted quadratic normal character 2/1", "lifted quadratic normal character 2/3", "lifted quadratic normal character 3/0", "lifted quadratic normal character 3/1", "lifted quadratic normal character 3/2", "lifted quadratic jet minimum -5", "lifted quadratic fixed point obstruction -5", "lifted component Taylor weight -5/0", "lifted component Taylor weight -5/2", "lifted component Taylor weight -5/-3", "lifted component Taylor weight -5/-1", "lifted quadratic jet minimum -4", "lifted quadratic fixed point obstruction -4", "lifted component Taylor weight -4/0", "lifted component Taylor weight -4/2", "lifted component Taylor weight -4/-3", "lifted component Taylor weight -4/-1", "lifted quadratic jet minimum -3", "lifted quadratic fixed point obstruction -3", "lifted component Taylor weight -3/0", "lifted component Taylor weight -3/2", "lifted component Taylor weight -3/-3", "lifted component Taylor weight -3/-1", "lifted quadratic jet minimum -2", "lifted quadratic fixed point obstruction -2", "lifted component Taylor weight -2/0", "lifted component Taylor weight -2/2", "lifted component Taylor weight -2/-3", "lifted component Taylor weight -2/-1", "lifted quadratic jet minimum -1", "lifted quadratic fixed point obstruction -1", "lifted component Taylor weight -1/0", "lifted component Taylor weight -1/2", "lifted component Taylor weight -1/-3", "lifted component Taylor weight -1/-1", "lifted quadratic jet minimum 0", "lifted quadratic fixed point obstruction 0", "lifted component Taylor weight 0/0", "lifted component Taylor weight 0/2", "lifted component Taylor weight 0/-3", "lifted component Taylor weight 0/-1", "lifted quadratic jet minimum 1", "lifted quadratic fixed point obstruction 1", "lifted component Taylor weight 1/0", "lifted component Taylor weight 1/2", "lifted component Taylor weight 1/-3", "lifted component Taylor weight 1/-1", "lifted quadratic jet minimum 2", "lifted quadratic fixed point obstruction 2", "lifted component Taylor weight 2/0", "lifted component Taylor weight 2/2", "lifted component Taylor weight 2/-3", "lifted component Taylor weight 2/-1", "lifted quadratic jet minimum 3", "lifted quadratic fixed point obstruction 3", "lifted component Taylor weight 3/0", "lifted component Taylor weight 3/2", "lifted component Taylor weight 3/-3", "lifted component Taylor weight 3/-1", "lifted quadratic jet minimum 4", "lifted quadratic fixed point obstruction 4", "lifted component Taylor weight 4/0", "lifted component Taylor weight 4/2", "lifted component Taylor weight 4/-3", "lifted component Taylor weight 4/-1", "lifted quadratic jet minimum 5", "lifted quadratic fixed point obstruction 5", "lifted component Taylor weight 5/0", "lifted component Taylor weight 5/2", "lifted component Taylor weight 5/-3", "lifted component Taylor weight 5/-1", "lifted carrier improves covariance only bound", "lifted neutral punctured section rank", "lifted neutral constant spectral gap", "lifted neutral combined covariance", "lifted metric dual complex unitary covariance", "lifted determinant cancellation complex covariance", "lifted vector minus complex eigenspace", "lifted quadratic real frame orientation", "lifted simultaneous quotient frame coordinates", "lifted real line circle obstruction", "adapted orthogonal connection splitting 0/1", "adapted J transport minimal norm 0/1", "adapted orthogonal connection splitting 0/2", "adapted J transport minimal norm 0/2", "adapted orthogonal connection splitting 0/3", "adapted J transport minimal norm 0/3", "adapted orthogonal connection splitting 0/4", "adapted J transport minimal norm 0/4", "adapted orthogonal connection splitting 0/5", "adapted J transport minimal norm 0/5", "adapted orthogonal connection splitting 1/2", "adapted J transport minimal norm 1/2", "adapted orthogonal connection splitting 1/3", "adapted J transport minimal norm 1/3", "adapted orthogonal connection splitting 1/4", "adapted J transport minimal norm 1/4", "adapted orthogonal connection splitting 1/5", "adapted J transport minimal norm 1/5", "adapted orthogonal connection splitting 2/3", "adapted J transport minimal norm 2/3", "adapted orthogonal connection splitting 2/4", "adapted J transport minimal norm 2/4", "adapted orthogonal connection splitting 2/5", "adapted J transport minimal norm 2/5", "adapted orthogonal connection splitting 3/4", "adapted J transport minimal norm 3/4", "adapted orthogonal connection splitting 3/5", "adapted J transport minimal norm 3/5", "adapted orthogonal connection splitting 4/5", "adapted J transport minimal norm 4/5", "adapted J curvature independent derivative sign", "adapted frame skew and parallel", "adapted complex frame norm", "adapted real frame norm", "adapted frame derivative erased 0", "adapted frame curvature derivative 0/1", "adapted frame curvature derivative 0/2", "adapted frame curvature derivative 0/3", "adapted frame derivative erased 1", "adapted frame curvature derivative 1/2", "adapted frame curvature derivative 1/3", "adapted frame derivative erased 2", "adapted frame curvature derivative 2/3", "adapted frame derivative erased 3", "adapted residual U2 dimension", "adapted residual nonabelian curvature", "adapted metric scalar change", "adapted original determinant survives only old connection", "vector bilinear invariant transpose 1", "vector bilinear gamma transpose 1/0", "vector exchange symmetry 1/0/1", "vector exchange symmetry 1/0/-1", "vector bilinear gamma transpose 1/1", "vector exchange symmetry 1/1/1", "vector exchange symmetry 1/1/-1", "vector bilinear invariant transpose 2", "vector bilinear gamma transpose 2/0", "vector same chirality absent 2/0/1", "vector same chirality absent 2/0/-1", "vector bilinear gamma transpose 2/1", "vector same chirality absent 2/1/1", "vector same chirality absent 2/1/-1", "vector bilinear gamma transpose 2/2", "vector same chirality absent 2/2/1", "vector same chirality absent 2/2/-1", "vector bilinear gamma transpose 2/3", "vector same chirality absent 2/3/1", "vector same chirality absent 2/3/-1", "vector bilinear invariant transpose 3", "vector bilinear gamma transpose 3/0", "vector exchange symmetry 3/0/1", "vector exchange symmetry 3/0/-1", "vector bilinear gamma transpose 3/1", "vector exchange symmetry 3/1/1", "vector exchange symmetry 3/1/-1", "vector bilinear gamma transpose 3/2", "vector exchange symmetry 3/2/1", "vector exchange symmetry 3/2/-1", "vector bilinear gamma transpose 3/3", "vector exchange symmetry 3/3/1", "vector exchange symmetry 3/3/-1", "vector bilinear gamma transpose 3/4", "vector exchange symmetry 3/4/1", "vector exchange symmetry 3/4/-1", "vector bilinear gamma transpose 3/5", "vector exchange symmetry 3/5/1", "vector exchange symmetry 3/5/-1", "vector bilinear Spin equivariance 0/1/0", "vector bilinear Spin equivariance 0/1/1", "vector bilinear Spin equivariance 0/1/2", "vector bilinear Spin equivariance 0/1/3", "vector bilinear Spin equivariance 0/1/4", "vector bilinear Spin equivariance 0/1/5", "vector bilinear Spin equivariance 0/2/0", "vector bilinear Spin equivariance 0/2/1", "vector bilinear Spin equivariance 0/2/2", "vector bilinear Spin equivariance 0/2/3", "vector bilinear Spin equivariance 0/2/4", "vector bilinear Spin equivariance 0/2/5", "vector bilinear Spin equivariance 0/3/0", "vector bilinear Spin equivariance 0/3/1", "vector bilinear Spin equivariance 0/3/2", "vector bilinear Spin equivariance 0/3/3", "vector bilinear Spin equivariance 0/3/4", "vector bilinear Spin equivariance 0/3/5", "vector bilinear Spin equivariance 0/4/0", "vector bilinear Spin equivariance 0/4/1", "vector bilinear Spin equivariance 0/4/2", "vector bilinear Spin equivariance 0/4/3", "vector bilinear Spin equivariance 0/4/4", "vector bilinear Spin equivariance 0/4/5", "vector bilinear Spin equivariance 0/5/0", "vector bilinear Spin equivariance 0/5/1", "vector bilinear Spin equivariance 0/5/2", "vector bilinear Spin equivariance 0/5/3", "vector bilinear Spin equivariance 0/5/4", "vector bilinear Spin equivariance 0/5/5", "vector bilinear Spin equivariance 1/2/0", "vector bilinear Spin equivariance 1/2/1", "vector bilinear Spin equivariance 1/2/2", "vector bilinear Spin equivariance 1/2/3", "vector bilinear Spin equivariance 1/2/4", "vector bilinear Spin equivariance 1/2/5", "vector bilinear Spin equivariance 1/3/0", "vector bilinear Spin equivariance 1/3/1", "vector bilinear Spin equivariance 1/3/2", "vector bilinear Spin equivariance 1/3/3", "vector bilinear Spin equivariance 1/3/4", "vector bilinear Spin equivariance 1/3/5", "vector bilinear Spin equivariance 1/4/0", "vector bilinear Spin equivariance 1/4/1", "vector bilinear Spin equivariance 1/4/2", "vector bilinear Spin equivariance 1/4/3", "vector bilinear Spin equivariance 1/4/4", "vector bilinear Spin equivariance 1/4/5", "vector bilinear Spin equivariance 1/5/0", "vector bilinear Spin equivariance 1/5/1", "vector bilinear Spin equivariance 1/5/2", "vector bilinear Spin equivariance 1/5/3", "vector bilinear Spin equivariance 1/5/4", "vector bilinear Spin equivariance 1/5/5", "vector bilinear Spin equivariance 2/3/0", "vector bilinear Spin equivariance 2/3/1", "vector bilinear Spin equivariance 2/3/2", "vector bilinear Spin equivariance 2/3/3", "vector bilinear Spin equivariance 2/3/4", "vector bilinear Spin equivariance 2/3/5", "vector bilinear Spin equivariance 2/4/0", "vector bilinear Spin equivariance 2/4/1", "vector bilinear Spin equivariance 2/4/2", "vector bilinear Spin equivariance 2/4/3", "vector bilinear Spin equivariance 2/4/4", "vector bilinear Spin equivariance 2/4/5", "vector bilinear Spin equivariance 2/5/0", "vector bilinear Spin equivariance 2/5/1", "vector bilinear Spin equivariance 2/5/2", "vector bilinear Spin equivariance 2/5/3", "vector bilinear Spin equivariance 2/5/4", "vector bilinear Spin equivariance 2/5/5", "vector bilinear Spin equivariance 3/4/0", "vector bilinear Spin equivariance 3/4/1", "vector bilinear Spin equivariance 3/4/2", "vector bilinear Spin equivariance 3/4/3", "vector bilinear Spin equivariance 3/4/4", "vector bilinear Spin equivariance 3/4/5", "vector bilinear Spin equivariance 3/5/0", "vector bilinear Spin equivariance 3/5/1", "vector bilinear Spin equivariance 3/5/2", "vector bilinear Spin equivariance 3/5/3", "vector bilinear Spin equivariance 3/5/4", "vector bilinear Spin equivariance 3/5/5", "vector bilinear Spin equivariance 4/5/0", "vector bilinear Spin equivariance 4/5/1", "vector bilinear Spin equivariance 4/5/2", "vector bilinear Spin equivariance 4/5/3", "vector bilinear Spin equivariance 4/5/4", "vector bilinear Spin equivariance 4/5/5", "pure columns need not share maximal annihilator", "vector bilinear invariant transpose 4", "vector bilinear gamma transpose 4/0", "vector same chirality absent 4/0/1", "vector same chirality absent 4/0/-1", "vector bilinear gamma transpose 4/1", "vector same chirality absent 4/1/1", "vector same chirality absent 4/1/-1", "vector bilinear gamma transpose 4/2", "vector same chirality absent 4/2/1", "vector same chirality absent 4/2/-1", "vector bilinear gamma transpose 4/3", "vector same chirality absent 4/3/1", "vector same chirality absent 4/3/-1", "vector bilinear gamma transpose 4/4", "vector same chirality absent 4/4/1", "vector same chirality absent 4/4/-1", "vector bilinear gamma transpose 4/5", "vector same chirality absent 4/5/1", "vector same chirality absent 4/5/-1", "vector bilinear gamma transpose 4/6", "vector same chirality absent 4/6/1", "vector same chirality absent 4/6/-1", "vector bilinear gamma transpose 4/7", "vector same chirality absent 4/7/1", "vector same chirality absent 4/7/-1", "vector bilinear invariant transpose 5", "vector bilinear gamma transpose 5/0", "vector exchange symmetry 5/0/1", "vector exchange symmetry 5/0/-1", "vector bilinear gamma transpose 5/1", "vector exchange symmetry 5/1/1", "vector exchange symmetry 5/1/-1", "vector bilinear gamma transpose 5/2", "vector exchange symmetry 5/2/1", "vector exchange symmetry 5/2/-1", "vector bilinear gamma transpose 5/3", "vector exchange symmetry 5/3/1", "vector exchange symmetry 5/3/-1", "vector bilinear gamma transpose 5/4", "vector exchange symmetry 5/4/1", "vector exchange symmetry 5/4/-1", "vector bilinear gamma transpose 5/5", "vector exchange symmetry 5/5/1", "vector exchange symmetry 5/5/-1", "vector bilinear gamma transpose 5/6", "vector exchange symmetry 5/6/1", "vector exchange symmetry 5/6/-1", "vector bilinear gamma transpose 5/7", "vector exchange symmetry 5/7/1", "vector exchange symmetry 5/7/-1", "vector bilinear gamma transpose 5/8", "vector exchange symmetry 5/8/1", "vector exchange symmetry 5/8/-1", "vector bilinear gamma transpose 5/9", "vector exchange symmetry 5/9/1", "vector exchange symmetry 5/9/-1", "joint tangent negative generator 0", "joint tangent negative Clifford 0/0", "joint tangent negative Clifford 0/1", "joint tangent negative Clifford 0/2", "joint tangent negative Clifford 0/3", "joint tangent negative generator 1", "joint tangent negative Clifford 1/0", "joint tangent negative Clifford 1/1", "joint tangent negative Clifford 1/2", "joint tangent negative Clifford 1/3", "joint tangent negative generator 2", "joint tangent negative Clifford 2/0", "joint tangent negative Clifford 2/1", "joint tangent negative Clifford 2/2", "joint tangent negative Clifford 2/3", "joint tangent negative generator 3", "joint tangent negative Clifford 3/0", "joint tangent negative Clifford 3/1", "joint tangent negative Clifford 3/2", "joint tangent negative Clifford 3/3", "joint right quaternion structure", "joint ambient symmetric gamma 0", "joint ambient full Clifford 0/0", "joint ambient full Clifford 0/1", "joint ambient full Clifford 0/2", "joint ambient full Clifford 0/3", "joint ambient full Clifford 0/4", "joint ambient full Clifford 0/5", "joint ambient full Clifford 0/6", "joint ambient full Clifford 0/7", "joint ambient full Clifford 0/8", "joint ambient full Clifford 0/9", "joint ambient symmetric gamma 1", "joint ambient full Clifford 1/1", "joint ambient full Clifford 1/2", "joint ambient full Clifford 1/3", "joint ambient full Clifford 1/4", "joint ambient full Clifford 1/5", "joint ambient full Clifford 1/6", "joint ambient full Clifford 1/7", "joint ambient full Clifford 1/8", "joint ambient full Clifford 1/9", "joint ambient symmetric gamma 2", "joint ambient full Clifford 2/2", "joint ambient full Clifford 2/3", "joint ambient full Clifford 2/4", "joint ambient full Clifford 2/5", "joint ambient full Clifford 2/6", "joint ambient full Clifford 2/7", "joint ambient full Clifford 2/8", "joint ambient full Clifford 2/9", "joint ambient symmetric gamma 3", "joint ambient full Clifford 3/3", "joint ambient full Clifford 3/4", "joint ambient full Clifford 3/5", "joint ambient full Clifford 3/6", "joint ambient full Clifford 3/7", "joint ambient full Clifford 3/8", "joint ambient full Clifford 3/9", "joint ambient symmetric gamma 4", "joint ambient full Clifford 4/4", "joint ambient full Clifford 4/5", "joint ambient full Clifford 4/6", "joint ambient full Clifford 4/7", "joint ambient full Clifford 4/8", "joint ambient full Clifford 4/9", "joint ambient symmetric gamma 5", "joint ambient full Clifford 5/5", "joint ambient full Clifford 5/6", "joint ambient full Clifford 5/7", "joint ambient full Clifford 5/8", "joint ambient full Clifford 5/9", "joint ambient symmetric gamma 6", "joint ambient full Clifford 6/6", "joint ambient full Clifford 6/7", "joint ambient full Clifford 6/8", "joint ambient full Clifford 6/9", "joint ambient symmetric gamma 7", "joint ambient full Clifford 7/7", "joint ambient full Clifford 7/8", "joint ambient full Clifford 7/9", "joint ambient symmetric gamma 8", "joint ambient full Clifford 8/8", "joint ambient full Clifford 8/9", "joint ambient symmetric gamma 9", "joint ambient full Clifford 9/9", "joint complement circle identity", "joint complement split square", "joint complementary refined projectors", "joint orthogonal projector even", "joint projector preserved algebra even/0", "joint projector preserved algebra even/1", "joint projector preserved algebra even/2", "joint projector preserved algebra even/3", "joint projector preserved algebra even/4", "joint projector preserved algebra even/5", "joint projector preserved algebra even/6", "joint projector preserved algebra even/7", "joint projector preserved algebra even/8", "joint projector preserved algebra even/9", "joint projector preserved algebra even/10", "joint projector preserved algebra even/11", "joint projector preserved algebra even/12", "joint projector preserved algebra even/13", "joint compressed spatial norm even/0", "joint compressed spatial norm even/1", "joint compressed spatial norm even/2", "joint compressed spatial norm even/3", "joint compressed spatial norm even/4", "joint compressed spatial norm even/5", "joint orthogonal projector odd", "joint projector preserved algebra odd/0", "joint projector preserved algebra odd/1", "joint projector preserved algebra odd/2", "joint projector preserved algebra odd/3", "joint projector preserved algebra odd/4", "joint projector preserved algebra odd/5", "joint projector preserved algebra odd/6", "joint projector preserved algebra odd/7", "joint projector preserved algebra odd/8", "joint projector preserved algebra odd/9", "joint projector preserved algebra odd/10", "joint projector preserved algebra odd/11", "joint projector preserved algebra odd/12", "joint projector preserved algebra odd/13", "joint compressed spatial norm odd/0", "joint compressed spatial norm odd/1", "joint compressed spatial norm odd/2", "joint compressed spatial norm odd/3", "joint compressed spatial norm odd/4", "joint compressed spatial norm odd/5", "joint orthogonal projector even_plus", "joint projector preserved algebra even_plus/0", "joint projector preserved algebra even_plus/1", "joint projector preserved algebra even_plus/2", "joint projector preserved algebra even_plus/3", "joint projector preserved algebra even_plus/4", "joint projector preserved algebra even_plus/5", "joint projector preserved algebra even_plus/6", "joint projector preserved algebra even_plus/7", "joint projector preserved algebra even_plus/8", "joint projector preserved algebra even_plus/9", "joint projector preserved algebra even_plus/10", "joint projector preserved algebra even_plus/11", "joint projector preserved algebra even_plus/12", "joint projector preserved algebra even_plus/13", "joint compressed spatial norm even_plus/0", "joint compressed spatial norm even_plus/1", "joint compressed spatial norm even_plus/2", "joint compressed spatial norm even_plus/3", "joint compressed spatial norm even_plus/4", "joint compressed spatial norm even_plus/5", "joint orthogonal projector even_minus", "joint projector preserved algebra even_minus/0", "joint projector preserved algebra even_minus/1", "joint projector preserved algebra even_minus/2", "joint projector preserved algebra even_minus/3", "joint projector preserved algebra even_minus/4", "joint projector preserved algebra even_minus/5", "joint projector preserved algebra even_minus/6", "joint projector preserved algebra even_minus/7", "joint projector preserved algebra even_minus/8", "joint projector preserved algebra even_minus/9", "joint projector preserved algebra even_minus/10", "joint projector preserved algebra even_minus/11", "joint projector preserved algebra even_minus/12", "joint projector preserved algebra even_minus/13", "joint compressed spatial norm even_minus/0", "joint compressed spatial norm even_minus/1", "joint compressed spatial norm even_minus/2", "joint compressed spatial norm even_minus/3", "joint compressed spatial norm even_minus/4", "joint compressed spatial norm even_minus/5", "joint orthogonal projector full_charge", "joint projector preserved algebra full_charge/0", "joint projector preserved algebra full_charge/1", "joint projector preserved algebra full_charge/2", "joint projector preserved algebra full_charge/3", "joint projector preserved algebra full_charge/4", "joint projector preserved algebra full_charge/5", "joint projector preserved algebra full_charge/6", "joint projector preserved algebra full_charge/7", "joint projector preserved algebra full_charge/8", "joint projector preserved algebra full_charge/9", "joint projector preserved algebra full_charge/10", "joint projector preserved algebra full_charge/11", "joint projector preserved algebra full_charge/12", "joint projector preserved algebra full_charge/13", "joint compressed spatial norm full_charge/0", "joint compressed spatial norm full_charge/1", "joint compressed spatial norm full_charge/2", "joint compressed spatial norm full_charge/3", "joint compressed spatial norm full_charge/4", "joint compressed spatial norm full_charge/5", "joint depth5 charge closure identity", "joint odd volume fails fibre charge", "joint charge spectral projector commute", "joint full charge multiplicities", "joint retained charge multiplicities", "joint tangent Spin-c circle preserves retained projector", "joint tangent Spin-c circle preserves complement split", "joint tangent Spin-c transition Clifford compatibility 0", "joint tangent Spin-c transition Clifford compatibility 1", "joint tangent Spin-c transition Clifford compatibility 2", "joint tangent Spin-c transition Clifford compatibility 3", "joint tangent Spin-c transition Clifford compatibility 4", "joint tangent Spin-c transition Clifford compatibility 5", "joint tangent Spin-c transition Clifford compatibility 6", "joint tangent Spin-c transition Clifford compatibility 7", "joint tangent Spin-c transition Clifford compatibility 8", "joint tangent Spin-c transition Clifford compatibility 9", "universal six pure pair output", "universal six pure pair null", "pure pair common annihilator selection 3/0", "one pure column gives null output 3/0", "pure pair common annihilator selection 3/2", "one pure column gives null output 3/2", "universal pairing complement sign 3/0", "universal pairing complement sign 3/3", "universal pairing complement sign 3/7", "universal pairing complement sign 3/5", "universal higher pure independent pair zero 7", "universal higher rank obstruction 7", "universal higher nonnull vector witness 7", "universal higher nonnull square 7", "pure pair common annihilator selection 7/0", "one pure column gives null output 7/0", "pure pair common annihilator selection 7/2", "one pure column gives null output 7/2", "pure pair common annihilator selection 7/4", "one pure column gives null output 7/4", "pure pair common annihilator selection 7/6", "one pure column gives null output 7/6", "universal pairing complement sign 7/0", "universal pairing complement sign 7/3", "universal pairing complement sign 7/127", "universal pairing complement sign 7/65", "universal higher pure independent pair zero 11", "universal higher rank obstruction 11", "universal higher nonnull vector witness 11", "universal higher nonnull square 11", "pure pair common annihilator selection 11/0", "one pure column gives null output 11/0", "pure pair common annihilator selection 11/2", "one pure column gives null output 11/2", "pure pair common annihilator selection 11/4", "one pure column gives null output 11/4", "pure pair common annihilator selection 11/6", "one pure column gives null output 11/6", "pure pair common annihilator selection 11/8", "one pure column gives null output 11/8", "pure pair common annihilator selection 11/10", "one pure column gives null output 11/10", "universal pairing complement sign 11/0", "universal pairing complement sign 11/3", "universal pairing complement sign 11/2047", "universal pairing complement sign 11/1025", "universal higher pure independent pair zero 15", "universal higher rank obstruction 15", "universal higher nonnull vector witness 15", "universal higher nonnull square 15", "pure pair common annihilator selection 15/0", "one pure column gives null output 15/0", "pure pair common annihilator selection 15/2", "one pure column gives null output 15/2", "pure pair common annihilator selection 15/4", "one pure column gives null output 15/4", "pure pair common annihilator selection 15/6", "one pure column gives null output 15/6", "pure pair common annihilator selection 15/8", "one pure column gives null output 15/8", "pure pair common annihilator selection 15/10", "one pure column gives null output 15/10", "pure pair common annihilator selection 15/12", "one pure column gives null output 15/12", "pure pair common annihilator selection 15/14", "one pure column gives null output 15/14", "universal pairing complement sign 15/0", "universal pairing complement sign 15/3", "universal pairing complement sign 15/32767", "universal pairing complement sign 15/16385", "endpoint typed curvature Hodge degree 2", "endpoint typed curvature Hodge degree 3", "endpoint typed curvature Hodge degree 4", "endpoint typed curvature Hodge degree 5", "endpoint typed curvature Hodge degree 6", "endpoint typed curvature Hodge degree 10", "endpoint complete chiral middle rank 1", "endpoint complete chiral middle rank 2", "endpoint complete chiral middle rank 3", "endpoint complete chiral middle rank 4", "endpoint complete chiral middle rank 5", "endpoint complete chiral middle rank 6", "endpoint complete chiral middle rank 7", "endpoint actual three-base curvature 0/0", "endpoint actual three-base curvature 0/1", "endpoint actual three-base curvature 0/2", "endpoint actual three-base curvature 1/0", "endpoint actual three-base curvature 1/1", "endpoint actual three-base curvature 1/2", "endpoint actual three-base curvature 2/0", "endpoint actual three-base curvature 2/1", "endpoint actual three-base curvature 2/2", "endpoint three-base Bianchi", "endpoint curvature triad reconstructs metric", "endpoint triad arbitrary auxiliary volume cancels", "endpoint triad gauge invariance", "endpoint curvature Gram perfection has five constraints", "color flag sharp response anisotropy", "color every SU2 channel scalar squared response", "color U2 central traceless cross response", "color isotropic complement need not perfect curvature (1, 1, 1)", "color isotropic complement need not perfect curvature (1, 2, 3)", "color actual first triplet induced curvature", "color actual second triplet induced curvature", "color equal norm curvature forms", "color one triplet can be isotropic with real parallel line", "color both triplets isotropic after relaxing real frame", "color central plane response factors", "color irreducible curvature scalar response", "color curvature spans full SU3 Lie closure", "color plane only actual smooth curvature 0/1", "color plane only actual smooth curvature 0/2", "color plane only actual smooth curvature 0/3", "color plane only actual smooth curvature 1/2", "color plane only actual smooth curvature 1/3", "color plane only actual smooth curvature 2/3", "color real line bending with zero determinant jets", "locked Dirac32 character", "locked Dirac32 dimension", "locked central trace", "observer-only central trace", "locked first orbital doublet decomposition", "locked full Casimir multiplicities", "locked full torus multiplicities", "locked full Lie algebra 0/0", "locked full Lie algebra 0/1", "locked full Lie algebra 0/2", "locked full Lie algebra 1/0", "locked full Lie algebra 1/1", "locked full Lie algebra 1/2", "locked full Lie algebra 2/0", "locked full Lie algebra 2/1", "locked full Lie algebra 2/2", "quaternionic equivariant conjugation", "charge preserving orbital H1 equivariance", "charge preserving orbital H2 equivariance", "charge preserving orbital weight 0", "orbital normal inversion odd 0", "orbital scalar-line zero 0", "orbital complement zero 0", "charge preserving orbital weight 1", "orbital normal inversion odd 1", "orbital scalar-line zero 1", "orbital complement zero 1", "common compensator Gram scalar", "common compensator determinant", "locked section central parity 0/0", "locked section central parity 0/1", "locked section central parity 0/2", "locked section central parity 0/3", "locked section central parity 1/0", "locked section central parity 1/1", "locked section central parity 1/2", "locked section central parity 1/3", "locked section central parity 2/0", "locked section central parity 2/1", "locked section central parity 2/2", "locked section central parity 2/3", "actual locked quadratic bridge covariance", "actual locked base rotation orthogonal", "actual BPST connection lifted isometry 0", "actual BPST connection lifted isometry 1", "actual BPST connection lifted isometry 2", "actual BPST connection lifted isometry 3", "locked central spatial action nonidentity", "polynomial covariant character decomposition 0/0", "polynomial doublet bidegree selection 0/0", "polynomial covariant character decomposition 0/1", "polynomial doublet bidegree selection 0/1", "polynomial covariant character decomposition 0/2", "polynomial doublet bidegree selection 0/2", "polynomial covariant character decomposition 0/3", "polynomial doublet bidegree selection 0/3", "polynomial covariant character decomposition 0/4", "polynomial doublet bidegree selection 0/4", "polynomial covariant character decomposition 0/5", "polynomial doublet bidegree selection 0/5", "polynomial covariant character decomposition 0/6", "polynomial doublet bidegree selection 0/6", "polynomial covariant character decomposition 1/0", "polynomial doublet bidegree selection 1/0", "polynomial covariant character decomposition 1/1", "polynomial doublet bidegree selection 1/1", "polynomial covariant character decomposition 1/2", "polynomial doublet bidegree selection 1/2", "polynomial covariant character decomposition 1/3", "polynomial doublet bidegree selection 1/3", "polynomial covariant character decomposition 1/4", "polynomial doublet bidegree selection 1/4", "polynomial covariant character decomposition 1/5", "polynomial doublet bidegree selection 1/5", "polynomial covariant character decomposition 1/6", "polynomial doublet bidegree selection 1/6", "polynomial covariant character decomposition 2/0", "polynomial doublet bidegree selection 2/0", "polynomial covariant character decomposition 2/1", "polynomial doublet bidegree selection 2/1", "polynomial covariant character decomposition 2/2", "polynomial doublet bidegree selection 2/2", "polynomial covariant character decomposition 2/3", "polynomial doublet bidegree selection 2/3", "polynomial covariant character decomposition 2/4", "polynomial doublet bidegree selection 2/4", "polynomial covariant character decomposition 2/5", "polynomial doublet bidegree selection 2/5", "polynomial covariant character decomposition 2/6", "polynomial doublet bidegree selection 2/6", "polynomial covariant character decomposition 3/0", "polynomial doublet bidegree selection 3/0", "polynomial covariant character decomposition 3/1", "polynomial doublet bidegree selection 3/1", "polynomial covariant character decomposition 3/2", "polynomial doublet bidegree selection 3/2", "polynomial covariant character decomposition 3/3", "polynomial doublet bidegree selection 3/3", "polynomial covariant character decomposition 3/4", "polynomial doublet bidegree selection 3/4", "polynomial covariant character decomposition 3/5", "polynomial doublet bidegree selection 3/5", "polynomial covariant character decomposition 3/6", "polynomial doublet bidegree selection 3/6", "polynomial covariant character decomposition 4/0", "polynomial doublet bidegree selection 4/0", "polynomial covariant character decomposition 4/1", "polynomial doublet bidegree selection 4/1", "polynomial covariant character decomposition 4/2", "polynomial doublet bidegree selection 4/2", "polynomial covariant character decomposition 4/3", "polynomial doublet bidegree selection 4/3", "polynomial covariant character decomposition 4/4", "polynomial doublet bidegree selection 4/4", "polynomial covariant character decomposition 4/5", "polynomial doublet bidegree selection 4/5", "polynomial covariant character decomposition 4/6", "polynomial doublet bidegree selection 4/6", "polynomial covariant character decomposition 5/0", "polynomial doublet bidegree selection 5/0", "polynomial covariant character decomposition 5/1", "polynomial doublet bidegree selection 5/1", "polynomial covariant character decomposition 5/2", "polynomial doublet bidegree selection 5/2", "polynomial covariant character decomposition 5/3", "polynomial doublet bidegree selection 5/3", "polynomial covariant character decomposition 5/4", "polynomial doublet bidegree selection 5/4", "polynomial covariant character decomposition 5/5", "polynomial doublet bidegree selection 5/5", "polynomial covariant character decomposition 5/6", "polynomial doublet bidegree selection 5/6", "polynomial covariant character decomposition 6/0", "polynomial doublet bidegree selection 6/0", "polynomial covariant character decomposition 6/1", "polynomial doublet bidegree selection 6/1", "polynomial covariant character decomposition 6/2", "polynomial doublet bidegree selection 6/2", "polynomial covariant character decomposition 6/3", "polynomial doublet bidegree selection 6/3", "polynomial covariant character decomposition 6/4", "polynomial doublet bidegree selection 6/4", "polynomial covariant character decomposition 6/5", "polynomial doublet bidegree selection 6/5", "polynomial covariant character decomposition 6/6", "polynomial doublet bidegree selection 6/6", "charge invariant covariant Hilbert coefficient 0", "charge invariant covariant Hilbert coefficient 1", "charge invariant covariant Hilbert coefficient 2", "charge invariant covariant Hilbert coefficient 3", "charge invariant covariant Hilbert coefficient 4", "charge invariant covariant Hilbert coefficient 5", "charge invariant covariant Hilbert coefficient 6", "charge invariant covariant Hilbert coefficient 7", "charge invariant covariant Hilbert coefficient 8", "charge invariant covariant Hilbert coefficient 9", "charge invariant covariant Hilbert coefficient 10", "charge invariant covariant Hilbert coefficient 11", "charge invariant covariant Hilbert coefficient 12", "compensator first circular output", "compensator second circular output", "compensators opposite circular axes 0", "normal frame determinant degree control 0", "normal frame unitary control 0", "compensators opposite circular axes 1", "normal frame determinant degree control 1", "normal frame unitary control 1", "compensators opposite circular axes 2", "normal frame determinant degree control 2", "normal frame unitary control 2", "charge fixed-line compensator zero stabilizer", "compensator quaternionic dependence", "common compensator vertical derivative norm", "common compensator forced-locus real jet rank 0", "common compensator forced-locus real jet rank 1", "common compensator forced-locus real jet rank 2", "common compensator directional first jet invariant", "constant color mixing control is SU3", "constant color mixing fails zero-locus evaluation kernel", "compensator triplet Gram obstruction", "round ambient spin Hermitian 0", "round ambient spin Clifford 0/0", "round ambient spin Clifford 0/1", "round ambient spin Clifford 0/2", "round ambient spin Clifford 0/3", "round ambient spin Clifford 0/4", "round ambient spin Hermitian 1", "round ambient spin Clifford 1/0", "round ambient spin Clifford 1/1", "round ambient spin Clifford 1/2", "round ambient spin Clifford 1/3", "round ambient spin Clifford 1/4", "round ambient spin Hermitian 2", "round ambient spin Clifford 2/0", "round ambient spin Clifford 2/1", "round ambient spin Clifford 2/2", "round ambient spin Clifford 2/3", "round ambient spin Clifford 2/4", "round ambient spin Hermitian 3", "round ambient spin Clifford 3/0", "round ambient spin Clifford 3/1", "round ambient spin Clifford 3/2", "round ambient spin Clifford 3/3", "round ambient spin Clifford 3/4", "round ambient spin Hermitian 4", "round ambient spin Clifford 4/0", "round ambient spin Clifford 4/1", "round ambient spin Clifford 4/2", "round ambient spin Clifford 4/3", "round ambient spin Clifford 4/4", "round ambient volume sign", "round fixed-plane volume", "round chiral projection polynomial -1", "round chiral projection trace -1", "round doublet exact Gram -1/-1", "round doublet Gram determinant -1/-1", "round doublet rank2 away from Q2 -1/-1", "round doublet rank1 on Q2 -1/-1", "round doublet Bloch unit -1/-1", "round chiral one-zero fixture -1/-1", "round opposite chirality survives -1/-1", "round chiral zero transverse real rank -1/-1", "round constant doublet observer action -1/-1/0/0", "round constant doublet observer action -1/-1/0/1", "round constant doublet observer action -1/-1/0/2", "round constant doublet observer action -1/-1/1/0", "round constant doublet observer action -1/-1/1/1", "round constant doublet observer action -1/-1/1/2", "round constant doublet observer action -1/-1/2/0", "round constant doublet observer action -1/-1/2/1", "round constant doublet observer action -1/-1/2/2", "round doublet exact Gram -1/1", "round doublet Gram determinant -1/1", "round doublet rank2 away from Q2 -1/1", "round doublet rank1 on Q2 -1/1", "round doublet Bloch unit -1/1", "round chiral one-zero fixture -1/1", "round opposite chirality survives -1/1", "round chiral zero transverse real rank -1/1", "round constant doublet observer action -1/1/0/0", "round constant doublet observer action -1/1/0/1", "round constant doublet observer action -1/1/0/2", "round constant doublet observer action -1/1/1/0", "round constant doublet observer action -1/1/1/1", "round constant doublet observer action -1/1/1/2", "round constant doublet observer action -1/1/2/0", "round constant doublet observer action -1/1/2/1", "round constant doublet observer action -1/1/2/2", "round chiral projection polynomial 1", "round chiral projection trace 1", "round doublet exact Gram 1/-1", "round doublet Gram determinant 1/-1", "round doublet rank2 away from Q2 1/-1", "round doublet rank1 on Q2 1/-1", "round doublet Bloch unit 1/-1", "round chiral one-zero fixture 1/-1", "round opposite chirality survives 1/-1", "round chiral zero transverse real rank 1/-1", "round constant doublet observer action 1/-1/0/0", "round constant doublet observer action 1/-1/0/1", "round constant doublet observer action 1/-1/0/2", "round constant doublet observer action 1/-1/1/0", "round constant doublet observer action 1/-1/1/1", "round constant doublet observer action 1/-1/1/2", "round constant doublet observer action 1/-1/2/0", "round constant doublet observer action 1/-1/2/1", "round constant doublet observer action 1/-1/2/2", "round doublet exact Gram 1/1", "round doublet Gram determinant 1/1", "round doublet rank2 away from Q2 1/1", "round doublet rank1 on Q2 1/1", "round doublet Bloch unit 1/1", "round chiral one-zero fixture 1/1", "round opposite chirality survives 1/1", "round chiral zero transverse real rank 1/1", "round constant doublet observer action 1/1/0/0", "round constant doublet observer action 1/1/0/1", "round constant doublet observer action 1/1/0/2", "round constant doublet observer action 1/1/1/0", "round constant doublet observer action 1/1/1/1", "round constant doublet observer action 1/1/1/2", "round constant doublet observer action 1/1/2/0", "round constant doublet observer action 1/1/2/1", "round constant doublet observer action 1/1/2/2", "round spin connection preserves chirality 0", "round spin connection Clifford compatibility 0/0", "round spin connection Clifford compatibility 0/1", "round spin connection Clifford compatibility 0/2", "round spin connection Clifford compatibility 0/3", "round spin connection preserves chirality 1", "round spin connection Clifford compatibility 1/0", "round spin connection Clifford compatibility 1/1", "round spin connection Clifford compatibility 1/2", "round spin connection Clifford compatibility 1/3", "round spin connection preserves chirality 2", "round spin connection Clifford compatibility 2/0", "round spin connection Clifford compatibility 2/1", "round spin connection Clifford compatibility 2/2", "round spin connection Clifford compatibility 2/3", "round spin connection preserves chirality 3", "round spin connection Clifford compatibility 3/0", "round spin connection Clifford compatibility 3/1", "round spin connection Clifford compatibility 3/2", "round spin connection Clifford compatibility 3/3", "round Chern orientation trace 01234", "round Chern orientation trace 01243", "round Chern orientation trace 01324", "round Chern orientation trace 01342", "round Chern orientation trace 01423", "round Chern orientation trace 01432", "round Chern orientation trace 02134", "round Chern orientation trace 02143", "round Chern orientation trace 02314", "round Chern orientation trace 02341", "round Chern orientation trace 02413", "round Chern orientation trace 02431", "round Chern orientation trace 03124", "round Chern orientation trace 03142", "round Chern orientation trace 03214", "round Chern orientation trace 03241", "round Chern orientation trace 03412", "round Chern orientation trace 03421", "round Chern orientation trace 04123", "round Chern orientation trace 04132", "round Chern orientation trace 04213", "round Chern orientation trace 04231", "round Chern orientation trace 04312", "round Chern orientation trace 04321", "round Chern orientation trace 10234", "round Chern orientation trace 10243", "round Chern orientation trace 10324", "round Chern orientation trace 10342", "round Chern orientation trace 10423", "round Chern orientation trace 10432", "round Chern orientation trace 12034", "round Chern orientation trace 12043", "round Chern orientation trace 12304", "round Chern orientation trace 12340", "round Chern orientation trace 12403", "round Chern orientation trace 12430", "round Chern orientation trace 13024", "round Chern orientation trace 13042", "round Chern orientation trace 13204", "round Chern orientation trace 13240", "round Chern orientation trace 13402", "round Chern orientation trace 13420", "round Chern orientation trace 14023", "round Chern orientation trace 14032", "round Chern orientation trace 14203", "round Chern orientation trace 14230", "round Chern orientation trace 14302", "round Chern orientation trace 14320", "round Chern orientation trace 20134", "round Chern orientation trace 20143", "round Chern orientation trace 20314", "round Chern orientation trace 20341", "round Chern orientation trace 20413", "round Chern orientation trace 20431", "round Chern orientation trace 21034", "round Chern orientation trace 21043", "round Chern orientation trace 21304", "round Chern orientation trace 21340", "round Chern orientation trace 21403", "round Chern orientation trace 21430", "round Chern orientation trace 23014", "round Chern orientation trace 23041", "round Chern orientation trace 23104", "round Chern orientation trace 23140", "round Chern orientation trace 23401", "round Chern orientation trace 23410", "round Chern orientation trace 24013", "round Chern orientation trace 24031", "round Chern orientation trace 24103", "round Chern orientation trace 24130", "round Chern orientation trace 24301", "round Chern orientation trace 24310", "round Chern orientation trace 30124", "round Chern orientation trace 30142", "round Chern orientation trace 30214", "round Chern orientation trace 30241", "round Chern orientation trace 30412", "round Chern orientation trace 30421", "round Chern orientation trace 31024", "round Chern orientation trace 31042", "round Chern orientation trace 31204", "round Chern orientation trace 31240", "round Chern orientation trace 31402", "round Chern orientation trace 31420", "round Chern orientation trace 32014", "round Chern orientation trace 32041", "round Chern orientation trace 32104", "round Chern orientation trace 32140", "round Chern orientation trace 32401", "round Chern orientation trace 32410", "round Chern orientation trace 34012", "round Chern orientation trace 34021", "round Chern orientation trace 34102", "round Chern orientation trace 34120", "round Chern orientation trace 34201", "round Chern orientation trace 34210", "round Chern orientation trace 40123", "round Chern orientation trace 40132", "round Chern orientation trace 40213", "round Chern orientation trace 40231", "round Chern orientation trace 40312", "round Chern orientation trace 40321", "round Chern orientation trace 41023", "round Chern orientation trace 41032", "round Chern orientation trace 41203", "round Chern orientation trace 41230", "round Chern orientation trace 41302", "round Chern orientation trace 41320", "round Chern orientation trace 42013", "round Chern orientation trace 42031", "round Chern orientation trace 42103", "round Chern orientation trace 42130", "round Chern orientation trace 42301", "round Chern orientation trace 42310", "round Chern orientation trace 43012", "round Chern orientation trace 43021", "round Chern orientation trace 43102", "round Chern orientation trace 43120", "round Chern orientation trace 43201", "round Chern orientation trace 43210", "round selfdual chirality convention -1", "round Weyl not tangent Clifford submodule -1", "round Chern number from exact sphere integral -1", "round selfdual chirality convention 1", "round Weyl not tangent Clifford submodule 1", "round Chern number from exact sphere integral 1", "round constant doublet not full tangent Clifford submodule", "round alternative observer doublet Gram", "round alternative observer doublet point defect", "CP2 normal dual tangent first Pontryagin", "CP2 same curvature endpoint characteristic identity", "CP2 total spin parity cancellation", "CP2 no separate normal determinant root", "CP2 total canonical line cancellation", "CP2 total Pontryagin class", "CP2 quaternionic auxiliary mismatch", "CP2 projective traceless instanton number", "CP2 opposite Hodge skew factors commute 0/0", "CP2 opposite Hodge skew factors commute 0/1", "CP2 opposite Hodge skew factors commute 0/2", "CP2 opposite Hodge skew factors commute 1/0", "CP2 opposite Hodge skew factors commute 1/1", "CP2 opposite Hodge skew factors commute 1/2", "CP2 opposite Hodge skew factors commute 2/0", "CP2 opposite Hodge skew factors commute 2/1", "CP2 opposite Hodge skew factors commute 2/2", "CP2 full determinant curvature cancels from cubic 0", "CP2 full determinant curvature cancels from cubic 1", "CP2 full determinant curvature cancels from cubic 2", "CP2 full determinant curvature cancels from cubic 3", "CP2 abelian curvature remains in scalar response", "CP2 Fubini Study curvature response", "CP2 exact curvature Chern integral", "CP2 curvature contact bound restricted fraction", "SU2-only contact bound restricted fraction", "U2 quaternionic conjugation determinant twist", "global multiplicity left quaternion square 0", "global multiplicity two commuting quaternion actions 0/0", "global multiplicity two commuting quaternion actions 0/1", "global multiplicity two commuting quaternion actions 0/2", "global multiplicity left quaternion square 1", "global multiplicity two commuting quaternion actions 1/0", "global multiplicity two commuting quaternion actions 1/1", "global multiplicity two commuting quaternion actions 1/2", "global multiplicity left quaternion square 2", "global multiplicity two commuting quaternion actions 2/0", "global multiplicity two commuting quaternion actions 2/1", "global multiplicity two commuting quaternion actions 2/2", "global determinant transition generator", "global paired half-determinant transition pi/2", "global paired half-angle sign cancellation pi/2", "global paired half-determinant transition pi", "global paired half-angle sign cancellation pi", "global full Clifford multiplicity complex plane 0", "global complex plane loses full normal quaternion algebra 0", "global full Clifford multiplicity complex plane 1", "global complex plane loses full normal quaternion algebra 1", "global real line loses canonical central lift", "global quaternion commutant real dimension", "global symmetric quaternion commutant scalar only", "global paired quaternion real structure square", "global multiplicity fixed real rank four", "global four-character real structure descent", "global normal circle two-pi half signs", "spin-compensator first exact Clifford derivative", "spin-compensator second exact Clifford derivative", "compensator finite Dirac hull second derivative 0", "compensator lifted charge retained 0/0", "compensator lifted charge retained 0/1", "compensator finite Dirac hull second derivative 1", "compensator lifted charge retained 1/0", "compensator lifted charge retained 1/1", "compensator finite Dirac hull second derivative 2", "compensator lifted charge retained 2/0", "compensator lifted charge retained 2/1", "compensator finite Dirac hull second derivative 3", "compensator lifted charge retained 3/0", "compensator lifted charge retained 3/1", "compensator finite Dirac hull second derivative 4", "compensator lifted charge retained 4/0", "compensator lifted charge retained 4/1", "compensator first derivative changes normal chirality", "actual SU2 horizontal compensator cancellation 0/0", "actual SU2 horizontal compensator cancellation 0/1", "actual SU2 horizontal compensator cancellation 0/2", "actual SU2 horizontal compensator cancellation 0/3", "actual SU2 horizontal compensator cancellation 0/4", "actual SU2 horizontal compensator cancellation 1/0", "actual SU2 horizontal compensator cancellation 1/1", "actual SU2 horizontal compensator cancellation 1/2", "actual SU2 horizontal compensator cancellation 1/3", "actual SU2 horizontal compensator cancellation 1/4", "actual SU2 horizontal compensator cancellation 2/0", "actual SU2 horizontal compensator cancellation 2/1", "actual SU2 horizontal compensator cancellation 2/2", "actual SU2 horizontal compensator cancellation 2/3", "actual SU2 horizontal compensator cancellation 2/4", "compensator common radial Laplacian 0/0/0", "compensator common radial Laplacian 0/0/1", "compensator common radial Laplacian 0/1/0", "compensator common radial Laplacian 0/1/1", "compensator common radial Laplacian 0/2/0", "compensator common radial Laplacian 0/2/1", "compensator common radial Laplacian 1/0/0", "compensator common radial Laplacian 1/0/1", "compensator common radial Laplacian 1/1/0", "compensator common radial Laplacian 1/1/1", "compensator common radial Laplacian 1/2/0", "compensator common radial Laplacian 1/2/1", "compensator common radial Laplacian 2/0/0", "compensator common radial Laplacian 2/0/1", "compensator common radial Laplacian 2/1/0", "compensator common radial Laplacian 2/1/1", "compensator common radial Laplacian 2/2/0", "compensator common radial Laplacian 2/2/1", "compensator radial harmonic polynomial 0", "compensator exact Jacobi normalization 0", "compensator exact angular norm 0", "compensator interior angular nodes 0", "compensator angular eigenvalue 0", "compensator full reduced angular equation 0", "compensator endpoint coefficients 0", "compensator Fischer Laplacian coefficient 0/0", "compensator radial harmonic polynomial 1", "compensator exact Jacobi normalization 1", "compensator exact angular norm 1", "compensator interior angular nodes 1", "compensator angular eigenvalue 1", "compensator full reduced angular equation 1", "compensator endpoint coefficients 1", "compensator Fischer Laplacian coefficient 1/0", "compensator Fischer Laplacian coefficient 1/1", "adjacent harmonic towers have no common interior node 1", "compensator radial harmonic polynomial 2", "compensator exact Jacobi normalization 2", "compensator exact angular norm 2", "compensator interior angular nodes 2", "compensator angular eigenvalue 2", "compensator full reduced angular equation 2", "compensator endpoint coefficients 2", "compensator Fischer Laplacian coefficient 2/0", "compensator Fischer Laplacian coefficient 2/1", "compensator Fischer Laplacian coefficient 2/2", "adjacent harmonic towers have no common interior node 2", "compensator radial harmonic polynomial 3", "compensator exact Jacobi normalization 3", 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count m4 r2", "saturation Vandermonde count m4 r3", "saturation Vandermonde count m4 r4", "saturation Vandermonde count m5 r0", "saturation Vandermonde count m5 r1", "saturation Vandermonde count m5 r2", "saturation Vandermonde count m5 r3", "saturation Vandermonde count m5 r4", "saturation Vandermonde count m5 r5", "saturation Vandermonde count m6 r0", "saturation Vandermonde count m6 r1", "saturation Vandermonde count m6 r2", "saturation Vandermonde count m6 r3", "saturation Vandermonde count m6 r4", "saturation Vandermonde count m6 r5", "saturation Vandermonde count m6 r6", "saturation Vandermonde count m7 r0", "saturation Vandermonde count m7 r1", "saturation Vandermonde count m7 r2", "saturation Vandermonde count m7 r3", "saturation Vandermonde count m7 r4", "saturation Vandermonde count m7 r5", "saturation Vandermonde count m7 r6", "saturation Vandermonde count m7 r7", "saturation Vandermonde count m8 r0", "saturation Vandermonde count m8 r1", "saturation Vandermonde count m8 r2", "saturation Vandermonde count m8 r3", "saturation Vandermonde count m8 r4", "saturation Vandermonde count m8 r5", "saturation Vandermonde count m8 r6", "saturation Vandermonde count m8 r7", "saturation Vandermonde count m8 r8", "completed frame cross-product coordinates", "completed frame normal nullness", "completed frame input orthogonality", "completed frame norm factors", "completed frame real imaginary orthogonality", "completed frame equal real imaginary norms", "completed frame vector total weight one", "completed frame covector total weight one", "completed frame no common interior first roots n0", "completed frame no common interior second roots n0", "completed frame first axis nonzero n0", "completed frame second axis nonzero n0", "completed frame other second axis nonzero n0", "completed frame no common interior first roots n1", "completed frame no common interior second roots n1", "completed frame first axis nonzero n1", "completed frame second axis nonzero n1", 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n5", "round degree2 induced Casimir formula j0/2 n5", "round degree2 induced Casimir integer j0/2 n6", "round degree2 induced Casimir formula j0/2 n6", "round degree2 induced Casimir integer j0/2 n7", "round degree2 induced Casimir formula j0/2 n7", "round degree2 induced Casimir integer j1/2 n0", "round degree2 induced Casimir formula j1/2 n0", "round degree2 induced Casimir integer j1/2 n1", "round degree2 induced Casimir formula j1/2 n1", "round degree2 induced Casimir integer j1/2 n2", "round degree2 induced Casimir formula j1/2 n2", "round degree2 induced Casimir integer j1/2 n3", "round degree2 induced Casimir formula j1/2 n3", "round degree2 induced Casimir integer j1/2 n4", "round degree2 induced Casimir formula j1/2 n4", "round degree2 induced Casimir integer j1/2 n5", "round degree2 induced Casimir formula j1/2 n5", "round degree2 induced Casimir integer j1/2 n6", "round degree2 induced Casimir formula j1/2 n6", "round degree2 induced Casimir integer j1/2 n7", "round degree2 induced Casimir formula j1/2 n7", "round degree2 induced Casimir integer j2/2 n0", "round degree2 induced Casimir formula j2/2 n0", "round degree2 induced Casimir integer j2/2 n1", "round degree2 induced Casimir formula j2/2 n1", "round degree2 induced Casimir integer j2/2 n2", "round degree2 induced Casimir formula j2/2 n2", "round degree2 induced Casimir integer j2/2 n3", "round degree2 induced Casimir formula j2/2 n3", "round degree2 induced Casimir integer j2/2 n4", "round degree2 induced Casimir formula j2/2 n4", "round degree2 induced Casimir integer j2/2 n5", "round degree2 induced Casimir formula j2/2 n5", "round degree2 induced Casimir integer j2/2 n6", "round degree2 induced Casimir formula j2/2 n6", "round degree2 induced Casimir integer j2/2 n7", "round degree2 induced Casimir formula j2/2 n7", "round degree2 induced Casimir integer j3/2 n0", "round degree2 induced Casimir formula j3/2 n0", "round degree2 induced Casimir integer j3/2 n1", "round degree2 induced Casimir formula j3/2 n1", "round degree2 induced Casimir integer j3/2 n2", "round degree2 induced Casimir formula j3/2 n2", "round degree2 induced Casimir integer j3/2 n3", "round degree2 induced Casimir formula j3/2 n3", "round degree2 induced Casimir integer j3/2 n4", "round degree2 induced Casimir formula j3/2 n4", "round degree2 induced Casimir integer j3/2 n5", "round degree2 induced Casimir formula j3/2 n5", "round degree2 induced Casimir integer j3/2 n6", "round degree2 induced Casimir formula j3/2 n6", "round degree2 induced Casimir integer j3/2 n7", "round degree2 induced Casimir formula j3/2 n7", "differential cubic identical commuting slots zero", "differential cubic Euler grade difference", "differential cubic direct Cartesian density", "differential cubic exact angular coefficient", "differential cubic full-spin invariant norm angular coefficient", "differential cubic common radial derivative cancels", "dimension-extension m1 rank", "dimension-extension m1 determinant", "dimension-extension m1 trace", "dimension-extension m1 moment1", "dimension-extension m1 moment3", "dimension-extension m1 moment5", "dimension-extension m1 moment7", "dimension-extension m1 moment9", "dimension-extension m1 moment11", "dimension-extension m1 cubic discriminator", "dimension-extension m2 rank", "dimension-extension m2 determinant", "dimension-extension m2 trace", "dimension-extension m2 moment1", "dimension-extension m2 moment3", "dimension-extension m2 moment5", "dimension-extension m2 moment7", "dimension-extension m2 moment9", "dimension-extension m2 moment11", "dimension-extension m2 cubic discriminator", "dimension-extension m3 rank", "dimension-extension m3 determinant", "dimension-extension m3 trace", "dimension-extension m3 moment1", "dimension-extension m3 moment3", "dimension-extension m3 moment5", "dimension-extension m3 moment7", "dimension-extension m3 moment9", "dimension-extension m3 moment11", "dimension-extension m3 cubic discriminator", "dimension-extension m4 rank", "dimension-extension m4 determinant", "dimension-extension m4 trace", "dimension-extension m4 moment1", "dimension-extension m4 moment3", "dimension-extension m4 moment5", "dimension-extension m4 moment7", "dimension-extension m4 moment9", "dimension-extension m4 moment11", "dimension-extension m4 cubic discriminator", "dimension-extension m5 rank", "dimension-extension m5 determinant", "dimension-extension m5 trace", "dimension-extension m5 moment1", "dimension-extension m5 moment3", "dimension-extension m5 moment5", "dimension-extension m5 moment7", "dimension-extension m5 moment9", "dimension-extension m5 moment11", "dimension-extension m5 cubic discriminator", "dimension-extension m6 rank", "dimension-extension m6 determinant", "dimension-extension m6 trace", "dimension-extension m6 moment1", "dimension-extension m6 moment3", "dimension-extension m6 moment5", "dimension-extension m6 moment7", "dimension-extension m6 moment9", "dimension-extension m6 moment11", "dimension-extension m6 cubic discriminator", "dimension-extension m7 rank", "dimension-extension m7 determinant", "dimension-extension m7 trace", "dimension-extension m7 moment1", "dimension-extension m7 moment3", "dimension-extension m7 moment5", "dimension-extension m7 moment7", "dimension-extension m7 moment9", "dimension-extension m7 moment11", "dimension-extension m7 cubic discriminator", "dimension-extension m8 rank", "dimension-extension m8 determinant", "dimension-extension m8 trace", "dimension-extension m8 moment1", "dimension-extension m8 moment3", "dimension-extension m8 moment5", "dimension-extension m8 moment7", "dimension-extension m8 moment9", "dimension-extension m8 moment11", "dimension-extension m8 cubic discriminator", "dimension-extension m9 rank", "dimension-extension m9 determinant", "dimension-extension m9 trace", "dimension-extension m9 moment1", "dimension-extension m9 moment3", "dimension-extension m9 moment5", "dimension-extension m9 moment7", "dimension-extension m9 moment9", "dimension-extension m9 moment11", "dimension-extension m9 cubic discriminator", "dimension-extension m10 rank", "dimension-extension m10 determinant", "dimension-extension m10 trace", "dimension-extension m10 moment1", "dimension-extension m10 moment3", "dimension-extension m10 moment5", "dimension-extension m10 moment7", "dimension-extension m10 moment9", "dimension-extension m10 moment11", "dimension-extension m10 cubic discriminator", "dimension-extension m11 rank", "dimension-extension m11 determinant", "dimension-extension m11 trace", "dimension-extension m11 moment1", "dimension-extension m11 moment3", "dimension-extension m11 moment5", "dimension-extension m11 moment7", "dimension-extension m11 moment9", "dimension-extension m11 moment11", "dimension-extension m11 cubic discriminator", "dimension-extension m12 rank", "dimension-extension m12 determinant", "dimension-extension m12 trace", "dimension-extension m12 moment1", "dimension-extension m12 moment3", "dimension-extension m12 moment5", "dimension-extension m12 moment7", "dimension-extension m12 moment9", "dimension-extension m12 moment11", "dimension-extension m12 cubic discriminator", "dimension-extension Sp1 exterior0", "dimension-extension Sp1 exterior1", "dimension-extension Sp1 exterior2", "dimension-extension Sp1 Wblock0", "dimension-extension Sp1 Wblock2", "dimension-extension Sp1 j square0,0", "dimension-extension Sp1 j square0,1", "dimension-extension Sp1 j square1,0", "dimension-extension Sp1 j square1,1", "dimension-extension Sp2 exterior0", "dimension-extension Sp2 exterior1", "dimension-extension Sp2 exterior2", "dimension-extension Sp2 exterior3", "dimension-extension Sp2 exterior4", "dimension-extension Sp2 Wblock0", "dimension-extension Sp2 Wblock2", "dimension-extension Sp2 Wblock4", "dimension-extension Sp2 j square0,0", "dimension-extension Sp2 j square0,1", "dimension-extension Sp2 j square0,2", "dimension-extension Sp2 j square0,3", "dimension-extension Sp2 j square1,0", "dimension-extension Sp2 j square1,1", "dimension-extension Sp2 j square1,2", "dimension-extension Sp2 j square1,3", "dimension-extension Sp2 j square2,0", "dimension-extension Sp2 j square2,1", "dimension-extension Sp2 j square2,2", "dimension-extension Sp2 j square2,3", "dimension-extension Sp2 j square3,0", "dimension-extension Sp2 j square3,1", "dimension-extension Sp2 j square3,2", "dimension-extension Sp2 j square3,3", "dimension-extension Sp3 exterior0", "dimension-extension Sp3 exterior1", "dimension-extension Sp3 exterior2", "dimension-extension Sp3 exterior3", "dimension-extension Sp3 exterior4", "dimension-extension Sp3 exterior5", "dimension-extension Sp3 exterior6", "dimension-extension Sp3 Wblock0", "dimension-extension Sp3 Wblock2", "dimension-extension Sp3 Wblock4", "dimension-extension Sp3 Wblock6", "dimension-extension Sp3 j square0,0", "dimension-extension Sp3 j square0,1", "dimension-extension Sp3 j square0,2", "dimension-extension Sp3 j square0,3", "dimension-extension Sp3 j square0,4", "dimension-extension Sp3 j square0,5", "dimension-extension Sp3 j square1,0", "dimension-extension Sp3 j square1,1", "dimension-extension Sp3 j square1,2", "dimension-extension Sp3 j square1,3", "dimension-extension Sp3 j square1,4", "dimension-extension Sp3 j square1,5", "dimension-extension Sp3 j square2,0", "dimension-extension Sp3 j square2,1", "dimension-extension Sp3 j square2,2", "dimension-extension Sp3 j square2,3", "dimension-extension Sp3 j square2,4", "dimension-extension Sp3 j square2,5", "dimension-extension Sp3 j square3,0", "dimension-extension Sp3 j square3,1", "dimension-extension Sp3 j square3,2", "dimension-extension Sp3 j square3,3", "dimension-extension Sp3 j square3,4", "dimension-extension Sp3 j square3,5", "dimension-extension Sp3 j square4,0", "dimension-extension Sp3 j square4,1", "dimension-extension Sp3 j square4,2", "dimension-extension Sp3 j square4,3", "dimension-extension Sp3 j square4,4", "dimension-extension Sp3 j square4,5", "dimension-extension Sp3 j square5,0", "dimension-extension Sp3 j square5,1", "dimension-extension Sp3 j square5,2", "dimension-extension Sp3 j square5,3", "dimension-extension Sp3 j square5,4", "dimension-extension Sp3 j square5,5", "dimension-extension Sp4 exterior0", "dimension-extension Sp4 exterior1", "dimension-extension Sp4 exterior2", "dimension-extension Sp4 exterior3", "dimension-extension Sp4 exterior4", "dimension-extension Sp4 exterior5", "dimension-extension Sp4 exterior6", "dimension-extension Sp4 exterior7", "dimension-extension Sp4 exterior8", "dimension-extension Sp4 Wblock0", "dimension-extension Sp4 Wblock2", "dimension-extension Sp4 Wblock4", "dimension-extension Sp4 Wblock6", "dimension-extension Sp4 Wblock8", "dimension-extension Sp4 j square0,0", "dimension-extension Sp4 j square0,1", "dimension-extension Sp4 j square0,2", "dimension-extension Sp4 j square0,3", "dimension-extension Sp4 j square0,4", "dimension-extension Sp4 j square0,5", "dimension-extension Sp4 j square0,6", "dimension-extension Sp4 j square0,7", "dimension-extension Sp4 j square1,0", "dimension-extension Sp4 j square1,1", "dimension-extension Sp4 j square1,2", "dimension-extension Sp4 j square1,3", "dimension-extension Sp4 j square1,4", "dimension-extension Sp4 j square1,5", "dimension-extension Sp4 j square1,6", "dimension-extension Sp4 j square1,7", "dimension-extension Sp4 j square2,0", "dimension-extension Sp4 j square2,1", "dimension-extension Sp4 j square2,2", "dimension-extension Sp4 j square2,3", "dimension-extension Sp4 j square2,4", "dimension-extension Sp4 j square2,5", "dimension-extension Sp4 j square2,6", "dimension-extension Sp4 j square2,7", "dimension-extension Sp4 j square3,0", "dimension-extension Sp4 j square3,1", "dimension-extension Sp4 j square3,2", "dimension-extension Sp4 j square3,3", "dimension-extension Sp4 j square3,4", "dimension-extension Sp4 j square3,5", "dimension-extension Sp4 j square3,6", "dimension-extension Sp4 j square3,7", "dimension-extension Sp4 j square4,0", "dimension-extension Sp4 j square4,1", "dimension-extension Sp4 j square4,2", "dimension-extension Sp4 j square4,3", "dimension-extension Sp4 j square4,4", "dimension-extension Sp4 j square4,5", "dimension-extension Sp4 j square4,6", "dimension-extension Sp4 j square4,7", "dimension-extension Sp4 j square5,0", "dimension-extension Sp4 j square5,1", "dimension-extension Sp4 j square5,2", "dimension-extension Sp4 j square5,3", "dimension-extension Sp4 j square5,4", "dimension-extension Sp4 j square5,5", "dimension-extension Sp4 j square5,6", "dimension-extension Sp4 j square5,7", "dimension-extension Sp4 j square6,0", "dimension-extension Sp4 j square6,1", "dimension-extension Sp4 j square6,2", "dimension-extension Sp4 j square6,3", "dimension-extension Sp4 j square6,4", "dimension-extension Sp4 j square6,5", "dimension-extension Sp4 j square6,6", "dimension-extension Sp4 j square6,7", "dimension-extension Sp4 j square7,0", "dimension-extension Sp4 j square7,1", "dimension-extension Sp4 j square7,2", "dimension-extension Sp4 j square7,3", "dimension-extension Sp4 j square7,4", "dimension-extension Sp4 j square7,5", "dimension-extension Sp4 j square7,6", "dimension-extension Sp4 j square7,7", "dimension-extension Sp5 exterior0", "dimension-extension Sp5 exterior1", "dimension-extension Sp5 exterior2", "dimension-extension Sp5 exterior3", "dimension-extension Sp5 exterior4", "dimension-extension Sp5 exterior5", "dimension-extension Sp5 exterior6", "dimension-extension Sp5 exterior7", "dimension-extension Sp5 exterior8", "dimension-extension Sp5 exterior9", "dimension-extension Sp5 exterior10", "dimension-extension Sp5 Wblock0", "dimension-extension Sp5 Wblock2", "dimension-extension Sp5 Wblock4", "dimension-extension Sp5 Wblock6", "dimension-extension Sp5 Wblock8", "dimension-extension Sp5 Wblock10", "dimension-extension Sp5 j square0,0", "dimension-extension Sp5 j square0,1", "dimension-extension Sp5 j square0,2", "dimension-extension Sp5 j square0,3", "dimension-extension Sp5 j square0,4", "dimension-extension Sp5 j square0,5", "dimension-extension Sp5 j square0,6", "dimension-extension Sp5 j square0,7", "dimension-extension Sp5 j square0,8", "dimension-extension Sp5 j square0,9", "dimension-extension Sp5 j square1,0", "dimension-extension Sp5 j square1,1", "dimension-extension Sp5 j square1,2", "dimension-extension Sp5 j square1,3", "dimension-extension Sp5 j square1,4", "dimension-extension Sp5 j square1,5", "dimension-extension Sp5 j square1,6", "dimension-extension Sp5 j square1,7", "dimension-extension Sp5 j square1,8", "dimension-extension Sp5 j square1,9", "dimension-extension Sp5 j square2,0", "dimension-extension Sp5 j square2,1", "dimension-extension Sp5 j square2,2", "dimension-extension Sp5 j square2,3", "dimension-extension Sp5 j square2,4", "dimension-extension Sp5 j square2,5", "dimension-extension Sp5 j square2,6", "dimension-extension Sp5 j square2,7", "dimension-extension Sp5 j square2,8", "dimension-extension Sp5 j square2,9", "dimension-extension Sp5 j square3,0", "dimension-extension Sp5 j square3,1", "dimension-extension Sp5 j square3,2", "dimension-extension Sp5 j square3,3", "dimension-extension Sp5 j square3,4", "dimension-extension Sp5 j square3,5", "dimension-extension Sp5 j square3,6", "dimension-extension Sp5 j square3,7", "dimension-extension Sp5 j square3,8", "dimension-extension Sp5 j square3,9", "dimension-extension Sp5 j square4,0", "dimension-extension Sp5 j square4,1", "dimension-extension Sp5 j square4,2", "dimension-extension Sp5 j square4,3", "dimension-extension Sp5 j square4,4", "dimension-extension Sp5 j square4,5", "dimension-extension Sp5 j square4,6", "dimension-extension Sp5 j square4,7", "dimension-extension Sp5 j square4,8", "dimension-extension Sp5 j square4,9", "dimension-extension Sp5 j square5,0", "dimension-extension Sp5 j square5,1", "dimension-extension Sp5 j square5,2", "dimension-extension Sp5 j square5,3", "dimension-extension Sp5 j square5,4", "dimension-extension Sp5 j square5,5", "dimension-extension Sp5 j square5,6", "dimension-extension Sp5 j square5,7", "dimension-extension Sp5 j square5,8", "dimension-extension Sp5 j square5,9", "dimension-extension Sp5 j square6,0", "dimension-extension Sp5 j square6,1", "dimension-extension Sp5 j square6,2", "dimension-extension Sp5 j square6,3", "dimension-extension Sp5 j square6,4", "dimension-extension Sp5 j square6,5", "dimension-extension Sp5 j square6,6", "dimension-extension Sp5 j square6,7", "dimension-extension Sp5 j square6,8", "dimension-extension Sp5 j square6,9", "dimension-extension Sp5 j square7,0", "dimension-extension Sp5 j square7,1", "dimension-extension Sp5 j square7,2", "dimension-extension Sp5 j square7,3", "dimension-extension Sp5 j square7,4", "dimension-extension Sp5 j square7,5", "dimension-extension Sp5 j square7,6", "dimension-extension Sp5 j square7,7", "dimension-extension Sp5 j square7,8", "dimension-extension Sp5 j square7,9", "dimension-extension Sp5 j square8,0", "dimension-extension Sp5 j square8,1", "dimension-extension Sp5 j square8,2", "dimension-extension Sp5 j square8,3", "dimension-extension Sp5 j square8,4", "dimension-extension Sp5 j square8,5", "dimension-extension Sp5 j square8,6", "dimension-extension Sp5 j square8,7", "dimension-extension Sp5 j square8,8", "dimension-extension Sp5 j square8,9", "dimension-extension Sp5 j square9,0", "dimension-extension Sp5 j square9,1", "dimension-extension Sp5 j square9,2", "dimension-extension Sp5 j square9,3", "dimension-extension Sp5 j square9,4", "dimension-extension Sp5 j square9,5", "dimension-extension Sp5 j square9,6", "dimension-extension Sp5 j square9,7", "dimension-extension Sp5 j square9,8", "dimension-extension Sp5 j square9,9", "dimension-extension Sp6 exterior0", "dimension-extension Sp6 exterior1", "dimension-extension Sp6 exterior2", "dimension-extension Sp6 exterior3", "dimension-extension Sp6 exterior4", "dimension-extension Sp6 exterior5", "dimension-extension Sp6 exterior6", "dimension-extension Sp6 exterior7", "dimension-extension Sp6 exterior8", "dimension-extension Sp6 exterior9", "dimension-extension Sp6 exterior10", "dimension-extension Sp6 exterior11", "dimension-extension Sp6 exterior12", "dimension-extension Sp6 Wblock0", "dimension-extension Sp6 Wblock2", "dimension-extension Sp6 Wblock4", "dimension-extension Sp6 Wblock6", "dimension-extension Sp6 Wblock8", "dimension-extension Sp6 Wblock10", "dimension-extension Sp6 Wblock12", "dimension-extension Sp6 j square0,0", "dimension-extension Sp6 j square0,1", "dimension-extension Sp6 j square0,2", "dimension-extension Sp6 j square0,3", "dimension-extension Sp6 j square0,4", "dimension-extension Sp6 j square0,5", "dimension-extension Sp6 j square0,6", "dimension-extension Sp6 j square0,7", "dimension-extension Sp6 j square0,8", "dimension-extension Sp6 j square0,9", "dimension-extension Sp6 j square0,10", "dimension-extension Sp6 j square0,11", "dimension-extension Sp6 j square1,0", "dimension-extension Sp6 j square1,1", "dimension-extension Sp6 j square1,2", "dimension-extension Sp6 j square1,3", "dimension-extension Sp6 j square1,4", "dimension-extension Sp6 j square1,5", "dimension-extension Sp6 j square1,6", "dimension-extension Sp6 j square1,7", "dimension-extension Sp6 j square1,8", "dimension-extension Sp6 j square1,9", "dimension-extension Sp6 j square1,10", "dimension-extension Sp6 j square1,11", "dimension-extension Sp6 j square2,0", "dimension-extension Sp6 j square2,1", "dimension-extension Sp6 j square2,2", "dimension-extension Sp6 j square2,3", "dimension-extension Sp6 j square2,4", "dimension-extension Sp6 j square2,5", "dimension-extension Sp6 j square2,6", "dimension-extension Sp6 j square2,7", "dimension-extension Sp6 j square2,8", "dimension-extension Sp6 j square2,9", "dimension-extension Sp6 j square2,10", "dimension-extension Sp6 j square2,11", "dimension-extension Sp6 j square3,0", "dimension-extension Sp6 j square3,1", "dimension-extension Sp6 j square3,2", "dimension-extension Sp6 j square3,3", "dimension-extension Sp6 j square3,4", "dimension-extension Sp6 j square3,5", "dimension-extension Sp6 j square3,6", "dimension-extension Sp6 j square3,7", "dimension-extension Sp6 j square3,8", "dimension-extension Sp6 j square3,9", "dimension-extension Sp6 j square3,10", "dimension-extension Sp6 j square3,11", "dimension-extension Sp6 j square4,0", "dimension-extension Sp6 j square4,1", "dimension-extension Sp6 j square4,2", "dimension-extension Sp6 j square4,3", "dimension-extension Sp6 j square4,4", "dimension-extension Sp6 j square4,5", "dimension-extension Sp6 j square4,6", "dimension-extension Sp6 j square4,7", "dimension-extension Sp6 j square4,8", "dimension-extension Sp6 j square4,9", "dimension-extension Sp6 j square4,10", "dimension-extension Sp6 j square4,11", "dimension-extension Sp6 j square5,0", "dimension-extension Sp6 j square5,1", "dimension-extension Sp6 j square5,2", "dimension-extension Sp6 j square5,3", "dimension-extension Sp6 j square5,4", "dimension-extension Sp6 j square5,5", "dimension-extension Sp6 j square5,6", "dimension-extension Sp6 j square5,7", "dimension-extension Sp6 j square5,8", "dimension-extension Sp6 j square5,9", "dimension-extension Sp6 j square5,10", "dimension-extension Sp6 j square5,11", "dimension-extension Sp6 j square6,0", "dimension-extension Sp6 j square6,1", "dimension-extension Sp6 j square6,2", "dimension-extension Sp6 j square6,3", "dimension-extension Sp6 j square6,4", "dimension-extension Sp6 j square6,5", "dimension-extension Sp6 j square6,6", "dimension-extension Sp6 j square6,7", "dimension-extension Sp6 j square6,8", "dimension-extension Sp6 j square6,9", "dimension-extension Sp6 j square6,10", "dimension-extension Sp6 j square6,11", "dimension-extension Sp6 j square7,0", "dimension-extension Sp6 j square7,1", "dimension-extension Sp6 j square7,2", "dimension-extension Sp6 j square7,3", "dimension-extension Sp6 j square7,4", "dimension-extension Sp6 j square7,5", "dimension-extension Sp6 j square7,6", "dimension-extension Sp6 j square7,7", "dimension-extension Sp6 j square7,8", "dimension-extension Sp6 j square7,9", "dimension-extension Sp6 j square7,10", "dimension-extension Sp6 j square7,11", "dimension-extension Sp6 j square8,0", "dimension-extension Sp6 j square8,1", "dimension-extension Sp6 j square8,2", "dimension-extension Sp6 j square8,3", "dimension-extension Sp6 j square8,4", "dimension-extension Sp6 j square8,5", "dimension-extension Sp6 j square8,6", "dimension-extension Sp6 j square8,7", "dimension-extension Sp6 j square8,8", "dimension-extension Sp6 j square8,9", "dimension-extension Sp6 j square8,10", "dimension-extension Sp6 j square8,11", "dimension-extension Sp6 j square9,0", "dimension-extension Sp6 j square9,1", "dimension-extension Sp6 j square9,2", "dimension-extension Sp6 j square9,3", "dimension-extension Sp6 j square9,4", "dimension-extension Sp6 j square9,5", "dimension-extension Sp6 j square9,6", "dimension-extension Sp6 j square9,7", "dimension-extension Sp6 j square9,8", "dimension-extension Sp6 j square9,9", "dimension-extension Sp6 j square9,10", "dimension-extension Sp6 j square9,11", "dimension-extension Sp6 j square10,0", "dimension-extension Sp6 j square10,1", "dimension-extension Sp6 j square10,2", "dimension-extension Sp6 j square10,3", "dimension-extension Sp6 j square10,4", "dimension-extension Sp6 j square10,5", "dimension-extension Sp6 j square10,6", "dimension-extension Sp6 j square10,7", "dimension-extension Sp6 j square10,8", "dimension-extension Sp6 j square10,9", "dimension-extension Sp6 j square10,10", "dimension-extension Sp6 j square10,11", "dimension-extension Sp6 j square11,0", "dimension-extension Sp6 j square11,1", "dimension-extension Sp6 j square11,2", "dimension-extension Sp6 j square11,3", "dimension-extension Sp6 j square11,4", "dimension-extension Sp6 j square11,5", "dimension-extension Sp6 j square11,6", "dimension-extension Sp6 j square11,7", "dimension-extension Sp6 j square11,8", "dimension-extension Sp6 j square11,9", "dimension-extension Sp6 j square11,10", "dimension-extension Sp6 j square11,11", "dimension-extension Sp7 exterior0", "dimension-extension Sp7 exterior1", "dimension-extension Sp7 exterior2", "dimension-extension Sp7 exterior3", "dimension-extension Sp7 exterior4", "dimension-extension Sp7 exterior5", "dimension-extension Sp7 exterior6", "dimension-extension Sp7 exterior7", "dimension-extension Sp7 exterior8", "dimension-extension Sp7 exterior9", "dimension-extension Sp7 exterior10", "dimension-extension Sp7 exterior11", "dimension-extension Sp7 exterior12", "dimension-extension Sp7 exterior13", "dimension-extension Sp7 exterior14", "dimension-extension Sp7 Wblock0", "dimension-extension Sp7 Wblock2", "dimension-extension Sp7 Wblock4", "dimension-extension Sp7 Wblock6", "dimension-extension Sp7 Wblock8", "dimension-extension Sp7 Wblock10", "dimension-extension Sp7 Wblock12", "dimension-extension Sp7 Wblock14", "dimension-extension Sp7 j square0,0", "dimension-extension Sp7 j square0,1", "dimension-extension Sp7 j square0,2", "dimension-extension Sp7 j square0,3", "dimension-extension Sp7 j square0,4", "dimension-extension Sp7 j square0,5", "dimension-extension Sp7 j square0,6", "dimension-extension Sp7 j square0,7", "dimension-extension Sp7 j square0,8", "dimension-extension Sp7 j square0,9", "dimension-extension Sp7 j square0,10", "dimension-extension Sp7 j square0,11", "dimension-extension Sp7 j square0,12", "dimension-extension Sp7 j square0,13", "dimension-extension Sp7 j square1,0", "dimension-extension Sp7 j square1,1", "dimension-extension Sp7 j square1,2", "dimension-extension Sp7 j square1,3", "dimension-extension Sp7 j square1,4", "dimension-extension Sp7 j square1,5", "dimension-extension Sp7 j square1,6", "dimension-extension Sp7 j square1,7", "dimension-extension Sp7 j square1,8", "dimension-extension Sp7 j square1,9", "dimension-extension Sp7 j square1,10", "dimension-extension Sp7 j square1,11", "dimension-extension Sp7 j square1,12", "dimension-extension Sp7 j square1,13", "dimension-extension Sp7 j square2,0", "dimension-extension Sp7 j square2,1", "dimension-extension Sp7 j square2,2", "dimension-extension Sp7 j square2,3", "dimension-extension Sp7 j square2,4", "dimension-extension Sp7 j square2,5", "dimension-extension Sp7 j square2,6", "dimension-extension Sp7 j square2,7", "dimension-extension Sp7 j square2,8", "dimension-extension Sp7 j square2,9", "dimension-extension Sp7 j square2,10", "dimension-extension Sp7 j square2,11", "dimension-extension Sp7 j square2,12", "dimension-extension Sp7 j square2,13", "dimension-extension Sp7 j square3,0", "dimension-extension Sp7 j square3,1", "dimension-extension Sp7 j square3,2", "dimension-extension Sp7 j square3,3", "dimension-extension Sp7 j square3,4", "dimension-extension Sp7 j square3,5", "dimension-extension Sp7 j square3,6", "dimension-extension Sp7 j square3,7", "dimension-extension Sp7 j square3,8", "dimension-extension Sp7 j square3,9", "dimension-extension Sp7 j square3,10", "dimension-extension Sp7 j square3,11", "dimension-extension Sp7 j square3,12", "dimension-extension Sp7 j square3,13", "dimension-extension Sp7 j square4,0", "dimension-extension Sp7 j square4,1", "dimension-extension Sp7 j square4,2", "dimension-extension Sp7 j square4,3", "dimension-extension Sp7 j square4,4", "dimension-extension Sp7 j square4,5", "dimension-extension Sp7 j square4,6", "dimension-extension Sp7 j square4,7", "dimension-extension Sp7 j square4,8", "dimension-extension Sp7 j square4,9", "dimension-extension Sp7 j square4,10", "dimension-extension Sp7 j square4,11", "dimension-extension Sp7 j square4,12", "dimension-extension Sp7 j square4,13", "dimension-extension Sp7 j square5,0", "dimension-extension Sp7 j square5,1", "dimension-extension Sp7 j square5,2", "dimension-extension Sp7 j square5,3", "dimension-extension Sp7 j square5,4", "dimension-extension Sp7 j square5,5", "dimension-extension Sp7 j square5,6", "dimension-extension Sp7 j square5,7", "dimension-extension Sp7 j square5,8", "dimension-extension Sp7 j square5,9", "dimension-extension Sp7 j square5,10", "dimension-extension Sp7 j square5,11", "dimension-extension Sp7 j square5,12", "dimension-extension Sp7 j square5,13", "dimension-extension Sp7 j square6,0", "dimension-extension Sp7 j square6,1", "dimension-extension Sp7 j square6,2", "dimension-extension Sp7 j square6,3", "dimension-extension Sp7 j square6,4", "dimension-extension Sp7 j square6,5", "dimension-extension Sp7 j square6,6", "dimension-extension Sp7 j square6,7", "dimension-extension Sp7 j square6,8", "dimension-extension Sp7 j square6,9", "dimension-extension Sp7 j square6,10", "dimension-extension Sp7 j square6,11", "dimension-extension Sp7 j square6,12", "dimension-extension Sp7 j square6,13", "dimension-extension Sp7 j square7,0", "dimension-extension Sp7 j square7,1", "dimension-extension Sp7 j square7,2", "dimension-extension Sp7 j square7,3", "dimension-extension Sp7 j square7,4", "dimension-extension Sp7 j square7,5", "dimension-extension Sp7 j square7,6", "dimension-extension Sp7 j square7,7", "dimension-extension Sp7 j square7,8", "dimension-extension Sp7 j square7,9", "dimension-extension Sp7 j square7,10", "dimension-extension Sp7 j square7,11", "dimension-extension Sp7 j square7,12", "dimension-extension Sp7 j square7,13", "dimension-extension Sp7 j square8,0", "dimension-extension Sp7 j square8,1", "dimension-extension Sp7 j square8,2", "dimension-extension Sp7 j square8,3", "dimension-extension Sp7 j square8,4", "dimension-extension Sp7 j square8,5", "dimension-extension Sp7 j square8,6", "dimension-extension Sp7 j square8,7", "dimension-extension Sp7 j square8,8", "dimension-extension Sp7 j square8,9", "dimension-extension Sp7 j square8,10", "dimension-extension Sp7 j square8,11", "dimension-extension Sp7 j square8,12", "dimension-extension Sp7 j square8,13", "dimension-extension Sp7 j square9,0", "dimension-extension Sp7 j square9,1", "dimension-extension Sp7 j square9,2", "dimension-extension Sp7 j square9,3", "dimension-extension Sp7 j square9,4", "dimension-extension Sp7 j square9,5", "dimension-extension Sp7 j square9,6", "dimension-extension Sp7 j square9,7", "dimension-extension Sp7 j square9,8", "dimension-extension Sp7 j square9,9", "dimension-extension Sp7 j square9,10", "dimension-extension Sp7 j square9,11", "dimension-extension Sp7 j square9,12", "dimension-extension Sp7 j square9,13", "dimension-extension Sp7 j square10,0", "dimension-extension Sp7 j square10,1", "dimension-extension Sp7 j square10,2", "dimension-extension Sp7 j square10,3", "dimension-extension Sp7 j square10,4", "dimension-extension Sp7 j square10,5", "dimension-extension Sp7 j square10,6", "dimension-extension Sp7 j square10,7", "dimension-extension Sp7 j square10,8", "dimension-extension Sp7 j square10,9", "dimension-extension Sp7 j square10,10", "dimension-extension Sp7 j square10,11", "dimension-extension Sp7 j square10,12", "dimension-extension Sp7 j square10,13", "dimension-extension Sp7 j square11,0", "dimension-extension Sp7 j square11,1", "dimension-extension Sp7 j square11,2", "dimension-extension Sp7 j square11,3", "dimension-extension Sp7 j square11,4", "dimension-extension Sp7 j square11,5", "dimension-extension Sp7 j square11,6", "dimension-extension Sp7 j square11,7", "dimension-extension Sp7 j square11,8", "dimension-extension Sp7 j square11,9", "dimension-extension Sp7 j square11,10", "dimension-extension Sp7 j square11,11", "dimension-extension Sp7 j square11,12", "dimension-extension Sp7 j square11,13", "dimension-extension Sp7 j square12,0", "dimension-extension Sp7 j square12,1", "dimension-extension Sp7 j square12,2", "dimension-extension Sp7 j square12,3", "dimension-extension Sp7 j square12,4", "dimension-extension Sp7 j square12,5", "dimension-extension Sp7 j square12,6", "dimension-extension Sp7 j square12,7", "dimension-extension Sp7 j square12,8", "dimension-extension Sp7 j square12,9", "dimension-extension Sp7 j square12,10", "dimension-extension Sp7 j square12,11", "dimension-extension Sp7 j square12,12", "dimension-extension Sp7 j square12,13", "dimension-extension Sp7 j square13,0", "dimension-extension Sp7 j square13,1", "dimension-extension Sp7 j square13,2", "dimension-extension Sp7 j square13,3", "dimension-extension Sp7 j square13,4", "dimension-extension Sp7 j square13,5", "dimension-extension Sp7 j square13,6", "dimension-extension Sp7 j square13,7", "dimension-extension Sp7 j square13,8", "dimension-extension Sp7 j square13,9", "dimension-extension Sp7 j square13,10", "dimension-extension Sp7 j square13,11", "dimension-extension Sp7 j square13,12", "dimension-extension Sp7 j square13,13", "dimension-extension m3 cubic slot charge", "dimension-extension m3 cubic first slot allowed", "dimension-extension m3 cubic other slots allowed", "dimension-extension m5 cubic slot charge", "dimension-extension m5 cubic first slot allowed", "dimension-extension m5 cubic other slots allowed", "dimension-extension m7 cubic slot charge", "dimension-extension m7 cubic first slot allowed", "dimension-extension m7 cubic other slots allowed", "dimension-extension m9 cubic slot charge", "dimension-extension m9 cubic first slot allowed", "dimension-extension m9 cubic other slots allowed", "dimension-extension m11 cubic slot charge", "dimension-extension m11 cubic first slot allowed", "dimension-extension m11 cubic other slots allowed", "cubic tensor modulus is prime", "cubic tensor disjoint supports m1", "cubic tensor exact rank certificate m1", "cubic tensor nonzero wedge m2 v0", "cubic tensor Lie invariance m2 v0", "cubic tensor disjoint supports m2", "cubic tensor exact rank certificate m2", "cubic tensor nonzero wedge m3 v0", "cubic tensor Lie invariance m3 v0", "cubic tensor disjoint supports m3", "cubic tensor exact rank certificate m3", "cubic tensor nonzero wedge m4 v0", "cubic tensor Lie invariance m4 v0", "cubic tensor nonzero wedge m4 v1", "cubic tensor Lie invariance m4 v1", "cubic tensor disjoint supports m4", "cubic tensor exact rank certificate m4", "cubic tensor nonzero wedge m5 v0", "cubic tensor Lie invariance m5 v0", "cubic tensor nonzero wedge m5 v1", "cubic tensor Lie invariance m5 v1", "cubic tensor disjoint supports m5", "cubic tensor exact rank certificate m5", "cubic tensor nonzero wedge m6 v0", "cubic tensor Lie invariance m6 v0", "cubic tensor nonzero wedge m6 v1", "cubic tensor Lie invariance m6 v1", "cubic tensor nonzero wedge m6 v2", "cubic tensor Lie invariance m6 v2", "cubic tensor nonzero wedge m6 v3", "cubic tensor Lie invariance m6 v3", "cubic tensor disjoint supports m6", "cubic tensor exact rank certificate m6", "cubic tensor nonzero wedge m7 v0", "cubic tensor Lie invariance m7 v0", "cubic tensor nonzero wedge m7 v1", "cubic tensor Lie invariance m7 v1", "cubic tensor nonzero wedge m7 v2", "cubic tensor Lie invariance m7 v2", "cubic tensor nonzero wedge m7 v3", "cubic tensor Lie invariance m7 v3", "cubic tensor disjoint supports m7", "cubic tensor exact rank certificate m7", "cubic tensor all-rank formula finite control m1", "cubic tensor all-rank formula finite control m2", "cubic tensor all-rank formula finite control m3", "cubic tensor all-rank formula finite control m4", "cubic tensor all-rank formula finite control m5", "cubic tensor all-rank formula finite control m6", "cubic tensor all-rank formula finite control m7", "cubic tensor all-rank formula finite control m8", "cubic tensor all-rank formula finite control m9", "cubic tensor all-rank formula finite control m10", "cubic tensor all-rank formula finite control m11", "cubic tensor all-rank formula finite control m12", "cubic tensor all-rank formula finite control m13", "cubic tensor all-rank formula finite control m14", "cubic tensor all-rank formula finite control m15", "cubic tensor all-rank formula finite control m16", "cubic tensor all-rank formula finite control m17", "cubic tensor all-rank formula finite control m18", "cubic tensor all-rank formula finite control m19", "cubic tensor all-rank formula finite control m20", "cubic tensor all-rank formula finite control m21", "cubic tensor all-rank formula finite control m22", "cubic tensor all-rank formula finite control m23", "cubic tensor all-rank formula finite control m24", "cubic tensor all-rank formula finite control m25", "cubic tensor all-rank formula finite control m26", "cubic tensor all-rank formula finite control m27", "cubic tensor all-rank formula finite control m28", "cubic tensor all-rank formula finite control m29", "cubic tensor all-rank formula finite control m30", "cubic tensor all-rank formula finite control m31", "cubic tensor all-rank formula finite control m32", "cubic tensor all-rank formula finite control m33", "cubic tensor all-rank formula finite control m34", "cubic tensor all-rank formula finite control m35", "cubic tensor all-rank formula finite control m36", "cubic tensor all-rank formula finite control m37", "cubic tensor all-rank formula finite control m38", "cubic tensor all-rank formula finite control m39", "cubic tensor all-rank formula finite control m40", "cubic tensor all-rank formula finite control m41", "cubic tensor all-rank formula finite control m42", "cubic tensor all-rank formula finite control m43", "cubic tensor all-rank formula finite control m44", "cubic tensor all-rank formula finite control m45", "cubic tensor all-rank formula finite control m46", "cubic tensor all-rank formula finite control m47", "cubic tensor all-rank formula finite control m48", "cubic tensor all-rank formula finite control m49", "cubic tensor all-rank formula finite control m50", "cubic tensor all-rank formula finite control m51", "cubic tensor all-rank formula finite control m52", "cubic tensor all-rank formula finite control m53", "cubic tensor all-rank formula finite control m54", "cubic tensor all-rank formula finite control m55", "cubic tensor all-rank formula finite control m56", "cubic tensor all-rank formula finite control m57", "cubic tensor all-rank formula finite control m58", "cubic tensor all-rank formula finite control m59", "cubic tensor all-rank formula finite control m60", "cubic tensor all-rank formula finite control m61", "cubic tensor all-rank formula finite control m62", "cubic tensor all-rank formula finite control m63", "cubic tensor all-rank formula finite control m64", "cubic tensor all-rank formula finite control m65", "cubic tensor all-rank formula finite control m66", "cubic tensor all-rank formula finite control m67", "cubic tensor all-rank formula finite control m68", "cubic tensor all-rank formula finite control m69", "cubic tensor all-rank formula finite control m70", "cubic tensor all-rank formula finite control m71", "cubic tensor all-rank formula finite control m72", "cubic tensor all-rank formula finite control m73", "cubic tensor all-rank formula finite control m74", "cubic tensor all-rank formula finite control m75", "cubic tensor all-rank formula finite control m76", "cubic tensor all-rank formula finite control m77", "cubic tensor all-rank formula finite control m78", "cubic tensor all-rank formula finite control m79", "cubic tensor all-rank formula finite control m80", "cubic tensor all-rank formula finite control m81", "cubic tensor all-rank formula finite control m82", "cubic tensor all-rank formula finite control m83", "cubic tensor all-rank formula finite control m84", "cubic tensor all-rank formula finite control m85", "cubic tensor all-rank formula finite control m86", "cubic tensor all-rank formula finite control m87", "cubic tensor all-rank formula finite control m88", "cubic tensor all-rank formula finite control m89", "cubic tensor all-rank formula finite control m90", "cubic tensor all-rank formula finite control m91", "cubic tensor all-rank formula finite control m92", "cubic tensor all-rank formula finite control m93", "cubic tensor all-rank formula finite control m94", "cubic tensor all-rank formula finite control m95", "cubic tensor all-rank formula finite control m96", "cubic tensor all-rank formula finite control m97", "cubic tensor all-rank formula finite control m98", "cubic tensor all-rank formula finite control m99", "cubic tensor all-rank formula finite control m100", "quartic Gram entangled_equal", "quartic trace split entangled_equal", "quartic positive entangled_equal", "quartic uniform phase entangled_equal", "quartic normal unitary entangled_equal", "quartic determinant gluing entangled_equal", "quartic base unitary entangled_equal", "quartic Gram different_base_same_normal", "quartic trace split different_base_same_normal", "quartic positive different_base_same_normal", "quartic uniform phase different_base_same_normal", "quartic normal unitary different_base_same_normal", "quartic determinant gluing different_base_same_normal", "quartic base unitary different_base_same_normal", "quartic Gram vacuum_triplet_cancel", "quartic trace split vacuum_triplet_cancel", "quartic positive vacuum_triplet_cancel", "quartic uniform phase vacuum_triplet_cancel", "quartic normal unitary vacuum_triplet_cancel", "quartic determinant gluing vacuum_triplet_cancel", "quartic Gram orthogonal_normal_common_base", "quartic trace split orthogonal_normal_common_base", "quartic positive orthogonal_normal_common_base", "quartic uniform phase orthogonal_normal_common_base", "quartic normal unitary orthogonal_normal_common_base", "quartic determinant gluing orthogonal_normal_common_base", "quartic Gram complex_entangled", "quartic trace split complex_entangled", "quartic positive complex_entangled", "quartic uniform phase complex_entangled", "quartic normal unitary complex_entangled", "quartic determinant gluing complex_entangled", "quartic base unitary complex_entangled", "quartic entangled naive identity fails", "quartic vacuum-triplet interference", "quartic Schmidt maximum 1", "quartic Schmidt maximum 2", "quartic Schmidt maximum 3", "quartic Schmidt maximum 4", "quartic W determinant (0, 1)", "quartic cubic Parseval (0, 1)", "quartic distinct grade positive (0, 1)", "quartic W determinant (0, 2)", "quartic cubic Parseval (0, 2)", "quartic distinct grade positive (0, 2)", "quartic cubic lower zero (0, 0, 2)", "quartic W determinant (1, 2)", "quartic cubic Parseval (1, 2)", "quartic distinct grade positive (1, 2)" ], "results": { "charge_completion": { "normal_complex_rank": 3, "matter_rank": 8, "minimal_full_complex_clifford_completion_rank": 16, "matter_weights": [ "0", "2/3", "2/3", "2/3", "-1/3", "-1/3", "-1/3", "-1" ], "conjugate_weights": [ "1/3", "1/3", "1/3", "1", "0", "-2/3", "-2/3", "-2/3" ], "chern_character_2": "2(c1(W)^2-c2(W))", "chern_character_3": "-c3(W)" }, "tangent_projectors": { "ranks": { "2": 2, "3": 2, "4": 4, "5": 4, "6": 8, "10": 32 }, "complex_commutant_dimensions": { "2": 256, "3": 128, "4": 64, "5": 32, "6": 16, "10": 1 }, "scope": "Pointwise compatible nested minimal Clifford carriers; parallel transport requires additional geometry." }, "unitary_geometry": { "normal_holonomy_lie_dimension": 9, "line_leakage": "3", "plane_controls": [ { "cosine": "0", "leakage": "5", "stabilizer_dimension": 1 }, { "cosine": "3/5", "leakage": "116/25", "stabilizer_dimension": 1 }, { "cosine": "1", "leakage": "4", "stabilizer_dimension": 4 } ], "scope": "Lie algebra, induced metric and orientation identities; geometric existence and completeness use the accompanying proofs." }, "spin_factor": { "positive_chiral_charge_weights": [ "0", "-1", "2/3", "-1/3", "2/3", "-1/3", "2/3", "-1/3" ], "normal_rank_controls": [ { "normal_complex_rank": 1, "positive_carrier_rank": 2, "even_degree_multiplicities": [ 1 ] }, { "normal_complex_rank": 2, "positive_carrier_rank": 4, "even_degree_multiplicities": [ 1, 1 ] }, { "normal_complex_rank": 3, "positive_carrier_rank": 8, "even_degree_multiplicities": [ 1, 3 ] }, { "normal_complex_rank": 4, "positive_carrier_rank": 16, "even_degree_multiplicities": [ 1, 6, 1 ] }, { "normal_complex_rank": 5, "positive_carrier_rank": 32, "even_degree_multiplicities": [ 1, 10, 5 ] }, { "normal_complex_rank": 6, "positive_carrier_rank": 64, "even_degree_multiplicities": [ 1, 15, 15, 1 ] } ], "scope": "Normal Spin-h carrier, not observer helicity or selected physical interaction." }, "curvature_bounds": { "pointwise_controls": [ { "n": 3, "fixed_complex_rank": 1, "trace_coefficient": "1/6", "sample_excess": "5/2" }, { "n": 3, "fixed_complex_rank": 2, "trace_coefficient": "2/3", "sample_excess": "0" }, { "n": 4, "fixed_complex_rank": 1, "trace_coefficient": "1/12", "sample_excess": "4" }, { "n": 4, "fixed_complex_rank": 2, "trace_coefficient": "1/4", "sample_excess": "5/2" } ], "rank_two_discriminant": "c1^2-4c2", "scope": "Normal curvature norms; traceless curvature alone does not prove non-Abelian holonomy or an observed force." }, "photon_geometry": { "spinor_Berry_flux": 1, "vector_Berry_flux": 2, "scope": "Observer transverse vector geometry and coefficient-line relation; no photon dynamics or sector topology selected." }, "contacts": { "passed": 83, "scope": "Exact representation intertwiners and common ladder norms, not physical rates." }, "lifted_charge": { "comparison": [ { "depth": 2, "grade": 0, "all_spinor_jets": 16, "normal_monogenic": 16, "M0_monogenic": 2 }, { "depth": 2, "grade": 1, "all_spinor_jets": 32, "normal_monogenic": 32, "M0_monogenic": 4 }, { "depth": 2, "grade": 2, "all_spinor_jets": 48, "normal_monogenic": 48, "M0_monogenic": 6 }, { "depth": 2, "grade": 3, "all_spinor_jets": 64, "normal_monogenic": 64, "M0_monogenic": 8 }, { "depth": 3, "grade": 0, "all_spinor_jets": 16, "normal_monogenic": 16, "M0_monogenic": 2 }, { "depth": 3, "grade": 1, "all_spinor_jets": 48, "normal_monogenic": 48, "M0_monogenic": 6 }, { "depth": 3, "grade": 2, "all_spinor_jets": 96, "normal_monogenic": 96, "M0_monogenic": 12 }, { "depth": 3, "grade": 3, "all_spinor_jets": 160, "normal_monogenic": 160, "M0_monogenic": 20 }, { "depth": 4, "grade": 0, "all_spinor_jets": 16, "normal_monogenic": 16, "M0_monogenic": 2 }, { "depth": 4, "grade": 1, "all_spinor_jets": 64, "normal_monogenic": 64, "M0_monogenic": 8 }, { "depth": 4, "grade": 2, "all_spinor_jets": 160, "normal_monogenic": 160, "M0_monogenic": 20 }, { "depth": 4, "grade": 3, "all_spinor_jets": 320, "normal_monogenic": 320, "M0_monogenic": 40 }, { "depth": 6, "grade": 0, "all_spinor_jets": 16, "normal_monogenic": 16, "M0_monogenic": 2 }, { "depth": 6, "grade": 1, "all_spinor_jets": 96, "normal_monogenic": 80, "M0_monogenic": 12 }, { "depth": 6, "grade": 2, "all_spinor_jets": 336, "normal_monogenic": 240, "M0_monogenic": 38 }, { "depth": 6, "grade": 3, "all_spinor_jets": 896, "normal_monogenic": 560, "M0_monogenic": 88 }, { "depth": 8, "grade": 0, "all_spinor_jets": 16, "normal_monogenic": 16, "M0_monogenic": 2 }, { "depth": 8, "grade": 1, "all_spinor_jets": 128, "normal_monogenic": 112, "M0_monogenic": 18 }, { "depth": 8, "grade": 2, "all_spinor_jets": 576, "normal_monogenic": 448, "M0_monogenic": 74 }, { "depth": 8, "grade": 3, "all_spinor_jets": 1920, "normal_monogenic": 1344, "M0_monogenic": 214 }, { "depth": 10, "grade": 0, "all_spinor_jets": 16, "normal_monogenic": 16, "M0_monogenic": 2 }, { "depth": 10, "grade": 1, "all_spinor_jets": 160, "normal_monogenic": 144, "M0_monogenic": 24 }, { "depth": 10, "grade": 2, "all_spinor_jets": 880, "normal_monogenic": 720, "M0_monogenic": 120 }, { "depth": 10, "grade": 3, "all_spinor_jets": 3520, "normal_monogenic": 2640, "M0_monogenic": 418 } ], "scope": "Flat polynomial normal jets, not selected physical particles or full IDOS mass modes.", "monogenic_generation": "(1-t)(1+u)^3(1+u^-3)/((1-tu)^3(1-t/u)^3)", "fixed_fibre_obstruction": "A Q-scalar Clifford-invariant nonzero subspace cannot include a tangent v with Jv nonzero." }, "real_clifford": { "real_rank": 16, "charge_complex_structure": "minus oriented normal Clifford volume", "full_compatible_complex_structures": "quaternionic two-sphere; canonical U3 fixes only plus or minus original scalar I", "scope": "Real-linear spatial Clifford alternative and common connection strength; no physical kinetic action or charge selection." }, "geometric_ladders": { "common_identity": "d^D sigma = 3 Omega3 - OmegaF", "sharp_cubic_bound": "|beta3|^2 <= |B|^6/216", "sharp_contact_bound": "v(t) >= (1+t^2 |beta3|^(2/3))^(3/2)", "sigma_contact_bound": "v(t) >= 1+t^2 |sigma|", "scope": "Geometric bending and induced-volume identities; no energy, rate or selected interaction law." }, "ambient_symmetry": { "full_lc_dirac_curvature_term": "(1/8) sum_mu_nu_a (F_mu_nu y)^a c_mu c_nu c_a; full ordered mu,nu sum", "spin_generator": "G_spin=i(N_form-3/2); K_spin=G_spin-(Jy).partial_y", "retained_generator": "K=i(N_form-3b)-(Jy).partial_y", "fixed_sector_domain": "[Pi_U,J]=0; real line fails; complex plane succeeds", "family_identity": "U_theta D_Q U_theta^-1=D_(Phi_theta Q), with transported projector", "polynomial_control_count": 40, "scope": "Coordinate LC verification and exact bounded commutators; general covariance proved in derive.md; no physical charge selection." }, "total_real_carrier": { "algebraic_minimum_real_rank": 32, "minimum_with_unchanged_pure_normal_U3_lift": 64, "full_independent_Spin_h_real_rank": 128, "scope": "Explicit Clifford carriers and scoped covariance minima; no physical component occupation selected." }, "color_invariants": { "passed": 338, "cubic_charges": [ 0, 0, 1, 1 ], "cubic_observer_casimir": "3/4", "symmetric_color_singlet_dimension": 4, "alternating_color_singlet_dimension": 20, "ordered_color_singlet_dimension": 64, "sextic_observer_scalar_charge": 1 }, "observer_helicity": { "minimal_carriers": [ { "d": 3, "orientation_constructor": -1, "complex_rank": 2 }, { "d": 3, "orientation_constructor": 1, "complex_rank": 2 }, { "d": 4, "orientation_constructor": 1, "complex_rank": 4 }, { "d": 5, "orientation_constructor": -1, "complex_rank": 4 }, { "d": 5, "orientation_constructor": 1, "complex_rank": 4 }, { "d": 6, "orientation_constructor": 1, "complex_rank": 8 }, { "d": 10, "orientation_constructor": 1, "complex_rank": 32 } ], "branch_overlap": "(1+chi*h*p/sqrt(p^2+q^2))/2", "depth5_volume_selects_helicity": false, "scope": "spatial principal symbol, not physical Hamiltonian" }, "polarization_zeros": { "scalar_zero_multiplicity": 2, "rank2_min_fixed_helicity": "1/2", "ellipse_target": "(3,i,0)/sqrt(10)", "ellipse_zero_directions": "(+-2sqrt(2)/3,0,-h/3)" }, "refined_counts": { "controls": [ { "depth": 6, "cutoff": 0, "neutral": 1, "all": 1 }, { "depth": 6, "cutoff": 1, "neutral": 5, "all": 7 }, { "depth": 6, "cutoff": 2, "neutral": 16, "all": 28 }, { "depth": 6, "cutoff": 3, "neutral": 40, "all": 84 }, { "depth": 6, "cutoff": 4, "neutral": 86, "all": 210 }, { "depth": 6, "cutoff": 5, "neutral": 166, "all": 462 }, { "depth": 8, "cutoff": 0, "neutral": 1, "all": 1 }, { "depth": 8, "cutoff": 1, "neutral": 5, "all": 9 }, { "depth": 8, "cutoff": 2, "neutral": 19, "all": 45 }, { "depth": 8, "cutoff": 3, "neutral": 55, "all": 165 }, { "depth": 8, "cutoff": 4, "neutral": 139, "all": 495 }, { "depth": 8, "cutoff": 5, "neutral": 311, "all": 1287 }, { "depth": 10, "cutoff": 0, "neutral": 1, "all": 1 }, { "depth": 10, "cutoff": 1, "neutral": 5, "all": 11 }, { "depth": 10, "cutoff": 2, "neutral": 24, "all": 66 }, { "depth": 10, "cutoff": 3, "neutral": 80, "all": 286 }, { "depth": 10, "cutoff": 4, "neutral": 241, "all": 1001 }, { "depth": 10, "cutoff": 5, "neutral": 621, "all": 3003 } ], "six_normal_fixed_weight_numerator": "count_x**2*(count_ell - 2)*(count_ell - 1)/2 + count_x*(4 - count_ell**2) + (count_ell + 1)*(count_ell + 2)/2", "fixed_weight_leading_coefficient": "3/16 times N^9/9! on the ten-dimensional scalar band", "scope": "Available polynomial modes and exact character identities, not a physical spectrum or preferred occupied charge." }, "complex_points": { "signed_transverse_count": "integral of c2(W) on the oriented closed base", "forced_zero_map": "beta1; beta2 and beta3 need not vanish", "scope": "Euler theorem and explicit normalized flags; topology is proved in derive.md, not inferred from finite checks." }, "bott_constraints": { "canonical_controls": [ { "normal_even_dimension": 2, "real_carrier_rank": 4, "E_unitary_connection_dimension": 1, "odd_extension_connection_dimension": 1 }, { "normal_even_dimension": 4, "real_carrier_rank": 8, "E_unitary_connection_dimension": 1, "odd_extension_connection_dimension": 1 }, { "normal_even_dimension": 6, "real_carrier_rank": 16, "E_unitary_connection_dimension": 3, "odd_extension_connection_dimension": 1 }, { "normal_even_dimension": 8, "real_carrier_rank": 32, "E_unitary_connection_dimension": 1, "odd_extension_connection_dimension": 1 }, { "normal_even_dimension": 10, "real_carrier_rank": 64, "E_unitary_connection_dimension": 1, "odd_extension_connection_dimension": 1 } ], "conditional_even_normal_gap": "6 modulo 8; only six among positive even gaps at most ten", "scope": "Fixed exterior real carrier, fixed parity-conjugated phase and full normal metric Clifford compatibility; enlarged carriers and different phases change the result." }, "ambient_curvature_bounds": { "scalar_identity": "Scal_M=Scal_B-(1/2) sum_(i= |M+1|+min(|M|,|M-2|), sharp for smooth germs.", "zero_section": "Every integer single-total-charge state has vanishing quadratic frame at the circle fixed locus.", "punctured_control": "A smooth total-neutral rank-two section gives a radial framed plane away from the zero section.", "quotient": "Fixed-vector-space tautological O(-1) and simultaneous differential-action trivial quotient are distinct." }, "adapted_connection": { "rule": "K_J=-J nabla J/2; K_u=u eta^dagger-eta u^dagger-i a uu^dagger.", "minimality": "Unique pointwise Frobenius-minimal metric correction preserving specified J and actual frame u,Ju.", "curvature": "F_J=(F-JFJ)/2-(nabla J wedge nabla J)/4; F_flag=Q F_J Q+eta wedge eta^dagger.", "control": "Adapted determinant jets vanish while residual curvature spans U2; scalar deficit changes from zero to four at the specified point and vector.", "scope": "Changes connection and generally ambient metric; not a selected physical law." }, "alternating_vector_rule": { "classification": "dim Hom_Spin(2m)(Lambda\u00b2 Delta+,N_C)=1 iff m=3 mod4, zero otherwise.", "joint_rule": "Automatic purity of every individual chiral spinor plus this alternating vector channel singles out six normal dimensions.", "ambient_multiplicity": "Spin-trivial copies cannot create a missing normal Hom; mixed chirality or symmetric auxiliary channels change the rule.", "scope": "Geometric-map premise, not selected particle states or absolute sector endpoints." }, "joint_carrier_projectors": { "ambient_real_rank": 128, "projector_real_ranks": [ 32, 64, 96, 128 ], "minimum_containing_all_original_U2_charge_components": 96, "minimum_balanced_original_copies": 128, "depth5_constraint": "Fibre charge and one real normal gamma force its complex partner gamma; allowed Q5 projectors are already Q6 compatible.", "scope": "One larger common carrier, with nonminimal lower ranks; circle still rotates the fixed Q5 spatial domain." }, "universal_vector_frame": { "theorem": "The same nonzero alternating chiral-vector channel sends every independent pair to a nonzero null vector iff normal dimension is six.", "purity": "Automatic purity is unnecessary for this theorem; higher-dimensional independent pure pairs can give zero.", "changed_rule": "Selected pure pairs with annihilator intersection dimension one work at every map-bearing normal dimension.", "witness": "At all m=3 mod4 >=7, the explicit pair (1+e1234,e_all_except4+e_4_through_m) has beta=-2 f8 and beta dot beta=4." }, "joint_endpoint_rule": { "conditional_endpoints": "Universal alternating chiral frame plus complete same-degree Hodge two-form curvature law gives base4 and ambient10.", "premise_scope": "The typed Hodge condition itself structurally imposes a four-base; it is not generic curvature-metric reconstruction.", "countercontrol": "An actual constant SU2 connection on R3 reconstructs a positive triad metric and a coherent ambient9 control when the Hodge-chiral law is replaced.", "null_contact": "Requires five extra perfect-curvature Gram conditions beyond definiteness." }, "color_flag_tradeoff": { "sharp_bound": "tr H0\u00b2=(tr H)\u00b2/6+(lambda1-lambda2)\u00b2/2 for the actual W curvature-square response with parallel framed line.", "actual_triplets": "Lambda\u00b2W may be isotropic nonflat; its D^-1 twist W* cannot be isotropic nonflat under the framed-line premise.", "changed_flag": "Parallel complex plane without parallel real phase admits explicit nonflat identical scalar response on both charge triplets.", "scope": "Curvature response, not measured color breaking, mass splitting or physical rates; common Clifford transition normalization remains algebraically 1:3." }, "curvature_observer_lift": { "spatial_group": "Faithful locked Spin3 on the ordinary total space; its center reverses V, so no ambient SO3 descent.", "output": "Quadratic determinant contact descends to the SO3 vector representation.", "Dirac32": "4 spin0 + 4 spin1 + 8 spin1/2 fibre representations at a fixed point.", "common_compensators": "conjugate(z0) w and z0 J conjugate(w) preserve original lifted charge and realize actual spin1/2 section subspaces in either charge-triplet doublet branch.", "scope": "Additional section choices with forced zeros; no selected physical spin, color SU3, occupations or normalizable particle." }, "common_charge_spin_covariants": { "classification": "Every charge-invariant polynomial SU2-equivariant doublet map on C plus C2 is P(|z|\u00b2,|w|\u00b2) conjugate(z)w + Q(|z|\u00b2,|w|\u00b2) z J conjugate(w).", "Hilbert_series": "2 t\u00b2/(1-t\u00b2)\u00b2; 2n maps at degree 2n.", "smooth_zero_theorem": "Every continuous map with those symmetries vanishes on z=0 and w=0.", "shared_geometry": "The same pair gives equal Gram norms, an SU2 frame off the zero sets, and opposite circular axes.", "scope": "No selected handedness, color SU3 action or particle count; extra rotating input data changes the theorem." }, "round_spin_sections": { "global_realization": "Full round Dirac bundle has genuine globally nonzero observer-doublet section spaces, with curved spin connection.", "chiral_evaluation": "For the fixed-plane volume K splitting, Gram eigenvalues (1 +/- r3/R)/2; rank loss exactly on great Q2=S2. Every nonzero projected constant section has one transverse zero and c2=-chi.", "alternatives": "Observer symmetry alone admits different doublets with displaced sphere or point defects; Q3 remains an RP1 family of containing equators.", "scope": "Actual global section representations are not tangent-Clifford invariant rank2 subbundles, parallel fields or occupied particles." }, "nonspin_global_control": { "base": "CP2, V=holomorphic cotangent, W=C plus V; base and normal separately nonspin, total M10 spin.", "geometry": "Complete 2,3,4,5,6,10 flag with bent lower S3, perfect traceless ASD curvature and nonzero SD determinant curvature.", "global_carrier": "A specified tangent Spin-c repair globalizes the real128 and P96 construction; quaternionic commutants are algebra bundles, not three global axes.", "curvature_contact": "Opposite Hodge components cancel the determinant-curvature cross term in beta, while scalar curvature response retains its positive contribution.", "scope": "Changed topology and transport premises; no globally ordinary base spinors, no automatic global same-bundle quaternionic compensator pair or globally ambient-parallel P96." }, "global_multiplicity": { "exact_bundle": "F = S10_real tensor (R\u00b2 plus D_R), with multiplicity connection d plus determinant connection.", "global_algebra": "Normal and tangent quaternionic commutants are nontrivial associated algebra bundles with retained global complex axes.", "submodules": "Full ambient real64 plane submodules retain the canonical normal circle; retaining the full original normal quaternion algebra needs real128. P96 is tangent-only through Q6.", "charge_lift": "Independent normal central action has spin and multiplicity half-determinant factors, each minus one at 2pi, cancelling in their product.", "scope": "Exact specified transition factorization, not a classification from characteristic numbers alone." }, "covariant_spatial_operator": { "flat_normal_hull": "The degree2 H1,H2 Clifford derivatives are nonzero degree1 monogenic sections; constant singlet plus two maps plus their derivatives form a five-copy finite polynomial hull preserving total charge.", "angular_harmonics": "Two covariants per even degree L=2n+2; Jacobi(2,1) factors, eigenvalue4(n+1)(n+3), exact norm pi\u00b3/[(n+1)(n+2)(n+3)].", "nodes": "Both columns share n interior nodes at a fixed angular degree; adjacent degrees have no common interior nodes. Forced axes remain.", "ambient_curvature": "Actual connection-metric Dirac has +1/4 sum gamma_i gamma_j c(F_ij y), independently reconstructed from Koszul coefficients. Perfect one-Hodge curvature vanishes on one base Weyl block and is invertible on the other off w=0. Opposite-Hodge determinant curvature removes that dark block.", "same_connection": "SU2 horizontal derivatives of H1,H2 and descendants vanish by simultaneous orbital and exterior action. Curvature is covariant under total orbital-plus-fibre circle; scalar fibre number alone fails.", "scope": "Polynomial geometric sections, not finite-norm particles, physical helicity, occupied levels or a mass spectrum. Proofs establish global extensions and all-degree consequences; finite checks verify their displayed identities." }, "completed_monogenic_module": { "angular_Dirac_Gram": "Input-normalized Gram is 8(n+2) diag(n+2,n+3), distinct from the equal componentwise spherical Laplace eigenvalue.", "complete_even_classification": "SU2-equivariant total-weight2 even polynomials have dimensions 4k+1 at ordinary degree2k>=2; harmonic4, monogenic2. Degree0 has one constant singlet.", "fixed_fibre_number": "N=2 leaves one monogenic copy per even degree, including degree0. This does not make N commute with the whole Clifford operator.", "zero_sets": "Each homogeneous completed M2_n has no zero off origin; the singlet repairs both doublet axes and all Jacobi nodes. M1_n vanishes precisely at z=0.", "global_scope": "Classification uses the SU2 determinant framing. On general U2 data the second branch requires a common determinant twist and the active circle lift must be retained explicitly.", "physical_scope": "Available polynomial geometry, not occupied particles, selected physical handedness, energy or mass." }, "monogenic_angular_topology": { "restricted_target": "The fixed-frame normalized M2_n coefficient map factors through the angular quotient CP2 to S4 in C2 plus R; degree is (1+(-1)^n)/2 with stated orientations.", "full_complex_control": "The composite CP2 to full complex-triplet sphere S5 is nullhomotopic; so is the original S5-domain to S5-target map. Restricted parity is not a protected invariant of the full complex field.", "scope": "Angular quotient and coefficient target are not identified with physical sectors. The homotopy statements require the accompanying topological proof, not only finite endpoint checks." }, "charge_saturation_extension": { "canonical_complex_module_rows": [ { "real_normal_rank": 0, "complex_intersection_rank": 0, "complex_saturation_rank": 0, "minimum_complex_module_rank": 1, "commutant_dimension": 20, "charge_multiplicities": [ 1 ] }, { "real_normal_rank": 1, "complex_intersection_rank": 0, "complex_saturation_rank": 1, "minimum_complex_module_rank": 2, "commutant_dimension": 6, "charge_multiplicities": [ 1, 1 ] }, { "real_normal_rank": 2, "complex_intersection_rank": 0, "complex_saturation_rank": 2, "minimum_complex_module_rank": 4, "commutant_dimension": 2, "charge_multiplicities": [ 1, 2, 1 ] }, { "real_normal_rank": 2, "complex_intersection_rank": 1, "complex_saturation_rank": 1, "minimum_complex_module_rank": 2, "commutant_dimension": 6, "charge_multiplicities": [ 1, 1 ] }, { "real_normal_rank": 3, "complex_intersection_rank": 0, "complex_saturation_rank": 3, "minimum_complex_module_rank": 8, "commutant_dimension": 1, "charge_multiplicities": [ 1, 3, 3, 1 ] }, { "real_normal_rank": 3, "complex_intersection_rank": 1, "complex_saturation_rank": 2, "minimum_complex_module_rank": 4, "commutant_dimension": 2, "charge_multiplicities": [ 1, 2, 1 ] }, { "real_normal_rank": 4, "complex_intersection_rank": 1, "complex_saturation_rank": 3, "minimum_complex_module_rank": 8, "commutant_dimension": 1, "charge_multiplicities": [ 1, 3, 3, 1 ] }, { "real_normal_rank": 4, "complex_intersection_rank": 2, "complex_saturation_rank": 2, "minimum_complex_module_rank": 4, "commutant_dimension": 2, "charge_multiplicities": [ 1, 2, 1 ] }, { "real_normal_rank": 5, "complex_intersection_rank": 2, "complex_saturation_rank": 3, "minimum_complex_module_rank": 8, "commutant_dimension": 1, "charge_multiplicities": [ 1, 3, 3, 1 ] }, { "real_normal_rank": 6, "complex_intersection_rank": 3, "complex_saturation_rank": 3, "minimum_complex_module_rank": 8, "commutant_dimension": 1, "charge_multiplicities": [ 1, 3, 3, 1 ] } ], "scope": "Charge-compatible Clifford projectors extend to complex saturation. These are canonical exterior-complex ranks, distinct from reporting-complex ranks of the real quaternionic carrier. Odd normal rank through the circle fixed locus cannot define an invariant spatial domain. No physical charge-to-depth assignment is selected." }, "completed_frame_extension": { "map": "Lambda\u00b2(1+Lambda\u00b2W) tensor det(W)^-1 = W plus W*; v=A cross B, xi=a B-b A, xi(v)=0.", "complete_monogenic_inputs": "M1_m and determinant-twisted M2_n give a nonzero normal frame exactly where z is nonzero, at every grade. At w=0 the frame plane is the real Cu plane.", "vacuum_control": "Untwisted constant vacuum with twisted M2_n gives a nonzero frame everywhere off the origin.", "charge_scope": "Inputs have distinct total charges. These bilinear frame channels are not a single fixed-charge polarization state or physical handedness selection." }, "independent_angular_selection_review": { "passed": 3682, "N": 6, "R": 14, "fixtures": { "(0, 0, 1)": "1/360", "(1, 0, 1)": "-1/2240", "(2, 0, 1)": "1/4032", "(1, 0, 2)": "1/896", "(2, 0, 2)": "-11/40320", "(3, 0, 2)": "1/5760", "(0, 1, 2)": "1/896", "(1, 1, 2)": "-11/48384", "(2, 1, 2)": "1/6720", "(3, 1, 2)": "-13/295680", "(4, 1, 2)": "1/38016" }, "extra_controls": 7, "odd_rank_control": "Invariant Lambda\u00b2W x W* x W* for every odd rank >=3; commuting repeated slots vanish.", "same_degree_control": "Rank9 degree6 nonzero alternating tensor from three complementary covector3 forms; same-degree cubic alone is not unique." }, "round_degree_two_extension": { "active_linear_coefficient_dimension": 96, "sectional_curvature_normalization": "F_ij=Realify(+(k/2) b_i b_j on matching base Weyl)", "characteristic_polynomials_k1": [ "lambda**8*(2*lambda - 9)*(2*lambda - 3)**3*(2*lambda + 1)**9*(2*lambda + 3)**3/65536", "lambda**8*(2*lambda + 1)**8*(4*lambda**2 - 4*lambda - 9)**4/65536", "lambda**8*(2*lambda - 9)*(2*lambda - 3)**3*(2*lambda + 1)**9*(2*lambda + 3)**3/65536", "lambda**8*(2*lambda + 1)**8*(4*lambda**2 - 4*lambda - 9)**4/65536" ], "necessary_endomorphism_spectrum_in_units_k": [ "0", "-1/2", "-3/2", "3/2", "9/2", "(1-sqrt(10))/2", "(1+sqrt(10))/2" ], "sample_Casimir_checks": [ { "twice_j": 0, "base_level": 0, "rough_laplacian_in_units_k": 0 }, { "twice_j": 0, "base_level": 1, "rough_laplacian_in_units_k": 4 }, { "twice_j": 0, "base_level": 2, "rough_laplacian_in_units_k": 10 }, { "twice_j": 0, "base_level": 3, "rough_laplacian_in_units_k": 18 }, { "twice_j": 0, "base_level": 4, "rough_laplacian_in_units_k": 28 }, { "twice_j": 0, "base_level": 5, "rough_laplacian_in_units_k": 40 }, { "twice_j": 0, "base_level": 6, "rough_laplacian_in_units_k": 54 }, { "twice_j": 0, "base_level": 7, "rough_laplacian_in_units_k": 70 }, { "twice_j": 1, "base_level": 0, "rough_laplacian_in_units_k": 1 }, { "twice_j": 1, "base_level": 1, "rough_laplacian_in_units_k": 6 }, { "twice_j": 1, "base_level": 2, "rough_laplacian_in_units_k": 13 }, { "twice_j": 1, "base_level": 3, "rough_laplacian_in_units_k": 22 }, { "twice_j": 1, "base_level": 4, "rough_laplacian_in_units_k": 33 }, { "twice_j": 1, "base_level": 5, "rough_laplacian_in_units_k": 46 }, { "twice_j": 1, "base_level": 6, "rough_laplacian_in_units_k": 61 }, { "twice_j": 1, "base_level": 7, "rough_laplacian_in_units_k": 78 }, { "twice_j": 2, "base_level": 0, "rough_laplacian_in_units_k": 2 }, { "twice_j": 2, "base_level": 1, "rough_laplacian_in_units_k": 8 }, { "twice_j": 2, "base_level": 2, "rough_laplacian_in_units_k": 16 }, { "twice_j": 2, "base_level": 3, "rough_laplacian_in_units_k": 26 }, { "twice_j": 2, "base_level": 4, "rough_laplacian_in_units_k": 38 }, { "twice_j": 2, "base_level": 5, "rough_laplacian_in_units_k": 52 }, { "twice_j": 2, "base_level": 6, "rough_laplacian_in_units_k": 68 }, { "twice_j": 2, "base_level": 7, "rough_laplacian_in_units_k": 86 }, { "twice_j": 3, "base_level": 0, "rough_laplacian_in_units_k": 3 }, { "twice_j": 3, "base_level": 1, "rough_laplacian_in_units_k": 10 }, { "twice_j": 3, "base_level": 2, "rough_laplacian_in_units_k": 19 }, { "twice_j": 3, "base_level": 3, "rough_laplacian_in_units_k": 30 }, { "twice_j": 3, "base_level": 4, "rough_laplacian_in_units_k": 43 }, { "twice_j": 3, "base_level": 5, "rough_laplacian_in_units_k": 58 }, { "twice_j": 3, "base_level": 6, "rough_laplacian_in_units_k": 75 }, { "twice_j": 3, "base_level": 7, "rough_laplacian_in_units_k": 94 } ], "scope": "Actual round chiral-spin induced bundles. All-weight Casimir integrality and parallel K give degree\u22642 harmonic-polynomial and uniformly bounded invariant-space exclusion. Degrees\u22653 and arbitrary smooth fields remain open." }, "differential_cubic_extension": { "angular_density": "-dc_t*(dc_t - 1)*(5*dc_t**2 - 3*dc_t + 1)/24", "normal_component_integral_over_pi_cubed": "1/180", "full_spin_norm_integral_over_pi_cubed": "1/24192", "scope": "Same-base-polarization example: Euler derivative distinguishes repeated commuting normal-field slots. The normal cubic leaves tangent-spin indices; its invariant squared norm is a full-spin and uniform-phase invariant sixth-order density. No physical action coefficient or radial integral is assigned." }, "uniform_dimension_extension": { "dimension_rows": [ { "m": 1, "rank_E": 2, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] } ], "cubic_trace": "-1" }, { "m": 2, "rank_E": 4, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 1, "charges": [ "1", "0" ] } ], "cubic_trace": "0" }, { "m": 3, "rank_E": 8, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 3, "charges": [ "2/3", "-1/3" ] } ], "cubic_trace": "-2/9" }, { "m": 4, "rank_E": 16, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 6, "charges": [ "1/2", "-1/2" ] }, { "degree": 4, "multiplicity": 1, "charges": [ "1", "0" ] } ], "cubic_trace": "0" }, { "m": 5, "rank_E": 32, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 10, "charges": [ "2/5", "-3/5" ] }, { "degree": 4, "multiplicity": 5, "charges": [ "4/5", "-1/5" ] } ], "cubic_trace": "0" }, { "m": 6, "rank_E": 64, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 15, "charges": [ "1/3", "-2/3" ] }, { "degree": 4, "multiplicity": 15, "charges": [ "2/3", "-1/3" ] }, { "degree": 6, "multiplicity": 1, "charges": [ "1", "0" ] } ], "cubic_trace": "0" }, { "m": 7, "rank_E": 128, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 21, "charges": [ "2/7", "-5/7" ] }, { "degree": 4, "multiplicity": 35, "charges": [ "4/7", "-3/7" ] }, { "degree": 6, "multiplicity": 7, "charges": [ "6/7", "-1/7" ] } ], "cubic_trace": "0" }, { "m": 8, "rank_E": 256, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 28, "charges": [ "1/4", "-3/4" ] }, { "degree": 4, "multiplicity": 70, "charges": [ "1/2", "-1/2" ] }, { "degree": 6, "multiplicity": 28, "charges": [ "3/4", "-1/4" ] }, { "degree": 8, "multiplicity": 1, "charges": [ "1", "0" ] } ], "cubic_trace": "0" }, { "m": 9, "rank_E": 512, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 36, "charges": [ "2/9", "-7/9" ] }, { "degree": 4, "multiplicity": 126, "charges": [ "4/9", "-5/9" ] }, { "degree": 6, "multiplicity": 84, "charges": [ "2/3", "-1/3" ] }, { "degree": 8, "multiplicity": 9, "charges": [ "8/9", "-1/9" ] } ], "cubic_trace": "0" }, { "m": 10, "rank_E": 1024, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 45, "charges": [ "1/5", "-4/5" ] }, { "degree": 4, "multiplicity": 210, "charges": [ "2/5", "-3/5" ] }, { "degree": 6, "multiplicity": 210, "charges": [ "3/5", "-2/5" ] }, { "degree": 8, "multiplicity": 45, "charges": [ "4/5", "-1/5" ] }, { "degree": 10, "multiplicity": 1, "charges": [ "1", "0" ] } ], "cubic_trace": "0" }, { "m": 11, "rank_E": 2048, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 55, "charges": [ "2/11", "-9/11" ] }, { "degree": 4, "multiplicity": 330, "charges": [ "4/11", "-7/11" ] }, { "degree": 6, "multiplicity": 462, "charges": [ "6/11", "-5/11" ] }, { "degree": 8, "multiplicity": 165, "charges": [ "8/11", "-3/11" ] }, { "degree": 10, "multiplicity": 11, "charges": [ "10/11", "-1/11" ] } ], "cubic_trace": "0" }, { "m": 12, "rank_E": 4096, "blocks": [ { "degree": 0, "multiplicity": 1, "charges": [ "0", "-1" ] }, { "degree": 2, "multiplicity": 66, "charges": [ "1/6", "-5/6" ] }, { "degree": 4, "multiplicity": 495, "charges": [ "1/3", "-2/3" ] }, { "degree": 6, "multiplicity": 924, "charges": [ "1/2", "-1/2" ] }, { "degree": 8, "multiplicity": 495, "charges": [ "2/3", "-1/3" ] }, { "degree": 10, "multiplicity": 66, "charges": [ "5/6", "-1/6" ] }, { "degree": 12, "multiplicity": 1, "charges": [ "1", "0" ] } ], "cubic_trace": "0" } ], "quaternionic_branching": [ { "quaternionic_rank": 1, "m": 3, "residual_singlet_charges": [ [ "0", "-1" ], [ "2/3", "-1/3" ] ], "decompositions": [ { "V_degree": 0, "W_degree": 0, "primitive_blocks": [ [ 0, 1 ] ] }, { "V_degree": 1, "W_degree": 2, "primitive_blocks": [ [ 1, 2 ] ] }, { "V_degree": 2, "W_degree": 2, "primitive_blocks": [ [ 0, 1 ] ] } ] }, { "quaternionic_rank": 2, "m": 5, "residual_singlet_charges": [ [ "0", "-1" ], [ "2/5", "-3/5" ], [ "4/5", "-1/5" ] ], "decompositions": [ { "V_degree": 0, "W_degree": 0, "primitive_blocks": [ [ 0, 1 ] ] }, { "V_degree": 1, "W_degree": 2, "primitive_blocks": [ [ 1, 4 ] ] }, { "V_degree": 2, "W_degree": 2, "primitive_blocks": [ [ 0, 1 ], [ 2, 5 ] ] }, { "V_degree": 3, "W_degree": 4, "primitive_blocks": [ [ 1, 4 ] ] }, { "V_degree": 4, "W_degree": 4, "primitive_blocks": [ [ 0, 1 ] ] } ] }, { "quaternionic_rank": 3, "m": 7, "residual_singlet_charges": [ [ "0", "-1" ], [ "2/7", "-5/7" ], [ "4/7", "-3/7" ], [ "6/7", "-1/7" ] ], "decompositions": [ { "V_degree": 0, "W_degree": 0, "primitive_blocks": [ [ 0, 1 ] ] }, { "V_degree": 1, "W_degree": 2, "primitive_blocks": [ [ 1, 6 ] ] }, { "V_degree": 2, "W_degree": 2, "primitive_blocks": [ [ 0, 1 ], [ 2, 14 ] ] }, { "V_degree": 3, "W_degree": 4, "primitive_blocks": [ [ 1, 6 ], [ 3, 14 ] ] }, { "V_degree": 4, "W_degree": 4, "primitive_blocks": [ [ 0, 1 ], [ 2, 14 ] ] }, { "V_degree": 5, "W_degree": 6, "primitive_blocks": [ [ 1, 6 ] ] }, { "V_degree": 6, "W_degree": 6, "primitive_blocks": [ [ 0, 1 ] ] } ] }, { "quaternionic_rank": 4, "m": 9, "residual_singlet_charges": [ [ "0", "-1" ], [ "2/9", "-7/9" ], [ "4/9", "-5/9" ], [ "2/3", "-1/3" ], [ "8/9", "-1/9" ] ], "decompositions": [ { "V_degree": 0, "W_degree": 0, "primitive_blocks": [ [ 0, 1 ] ] }, { "V_degree": 1, "W_degree": 2, "primitive_blocks": [ [ 1, 8 ] ] }, { "V_degree": 2, "W_degree": 2, "primitive_blocks": [ [ 0, 1 ], [ 2, 27 ] ] }, { "V_degree": 3, "W_degree": 4, "primitive_blocks": [ [ 1, 8 ], [ 3, 48 ] ] }, { "V_degree": 4, "W_degree": 4, "primitive_blocks": [ [ 0, 1 ], [ 2, 27 ], [ 4, 42 ] ] }, { "V_degree": 5, "W_degree": 6, "primitive_blocks": [ [ 1, 8 ], [ 3, 48 ] ] }, { "V_degree": 6, "W_degree": 6, "primitive_blocks": [ [ 0, 1 ], [ 2, 27 ] ] }, { "V_degree": 7, "W_degree": 8, "primitive_blocks": [ [ 1, 8 ] ] }, { "V_degree": 8, "W_degree": 8, "primitive_blocks": [ [ 0, 1 ] ] } ] }, { "quaternionic_rank": 5, "m": 11, "residual_singlet_charges": [ [ "0", "-1" ], [ "2/11", "-9/11" ], [ "4/11", "-7/11" ], [ "6/11", "-5/11" ], [ "8/11", "-3/11" ], [ "10/11", "-1/11" ] ], "decompositions": [ { "V_degree": 0, "W_degree": 0, "primitive_blocks": [ [ 0, 1 ] ] }, { "V_degree": 1, "W_degree": 2, "primitive_blocks": [ [ 1, 10 ] ] }, { "V_degree": 2, "W_degree": 2, "primitive_blocks": [ [ 0, 1 ], [ 2, 44 ] ] }, { "V_degree": 3, "W_degree": 4, "primitive_blocks": [ [ 1, 10 ], [ 3, 110 ] ] }, { "V_degree": 4, "W_degree": 4, "primitive_blocks": [ [ 0, 1 ], [ 2, 44 ], [ 4, 165 ] ] }, { "V_degree": 5, "W_degree": 6, "primitive_blocks": [ [ 1, 10 ], [ 3, 110 ], [ 5, 132 ] ] }, { "V_degree": 6, "W_degree": 6, "primitive_blocks": [ [ 0, 1 ], [ 2, 44 ], [ 4, 165 ] ] }, { "V_degree": 7, "W_degree": 8, "primitive_blocks": [ [ 1, 10 ], [ 3, 110 ] ] }, { "V_degree": 8, "W_degree": 8, "primitive_blocks": [ [ 0, 1 ], [ 2, 44 ] ] }, { "V_degree": 9, "W_degree": 10, "primitive_blocks": [ [ 1, 10 ] ] }, { "V_degree": 10, "W_degree": 10, "primitive_blocks": [ [ 0, 1 ] ] } ] }, { "quaternionic_rank": 6, "m": 13, "residual_singlet_charges": [ [ "0", "-1" ], [ "2/13", "-11/13" ], [ "4/13", "-9/13" ], [ "6/13", "-7/13" ], [ "8/13", "-5/13" ], [ "10/13", "-3/13" ], [ "12/13", "-1/13" ] ], "decompositions": [ { "V_degree": 0, "W_degree": 0, "primitive_blocks": [ [ 0, 1 ] ] }, { "V_degree": 1, "W_degree": 2, "primitive_blocks": [ [ 1, 12 ] ] }, { "V_degree": 2, "W_degree": 2, "primitive_blocks": [ [ 0, 1 ], [ 2, 65 ] ] }, { "V_degree": 3, "W_degree": 4, "primitive_blocks": [ [ 1, 12 ], [ 3, 208 ] ] }, { "V_degree": 4, "W_degree": 4, "primitive_blocks": [ [ 0, 1 ], [ 2, 65 ], [ 4, 429 ] ] }, { "V_degree": 5, "W_degree": 6, "primitive_blocks": [ [ 1, 12 ], [ 3, 208 ], [ 5, 572 ] ] }, { "V_degree": 6, "W_degree": 6, "primitive_blocks": [ [ 0, 1 ], [ 2, 65 ], [ 4, 429 ], [ 6, 429 ] ] }, { "V_degree": 7, "W_degree": 8, "primitive_blocks": [ [ 1, 12 ], [ 3, 208 ], [ 5, 572 ] ] }, { "V_degree": 8, "W_degree": 8, "primitive_blocks": [ [ 0, 1 ], [ 2, 65 ], [ 4, 429 ] ] }, { "V_degree": 9, "W_degree": 10, "primitive_blocks": [ [ 1, 12 ], [ 3, 208 ] ] }, { "V_degree": 10, "W_degree": 10, "primitive_blocks": [ [ 0, 1 ], [ 2, 65 ] ] }, { "V_degree": 11, "W_degree": 12, "primitive_blocks": [ [ 1, 12 ] ] }, { "V_degree": 12, "W_degree": 12, "primitive_blocks": [ [ 0, 1 ] ] } ] }, { "quaternionic_rank": 7, "m": 15, "residual_singlet_charges": [ [ "0", "-1" ], [ "2/15", "-13/15" ], [ "4/15", "-11/15" ], [ "2/5", "-3/5" ], [ "8/15", "-7/15" ], [ "2/3", "-1/3" ], [ "4/5", "-1/5" ], [ "14/15", "-1/15" ] ], "decompositions": [ { "V_degree": 0, "W_degree": 0, "primitive_blocks": [ [ 0, 1 ] ] }, { "V_degree": 1, "W_degree": 2, "primitive_blocks": [ [ 1, 14 ] ] }, { "V_degree": 2, "W_degree": 2, "primitive_blocks": [ [ 0, 1 ], [ 2, 90 ] ] }, { "V_degree": 3, "W_degree": 4, "primitive_blocks": [ [ 1, 14 ], [ 3, 350 ] ] }, { "V_degree": 4, "W_degree": 4, "primitive_blocks": [ [ 0, 1 ], [ 2, 90 ], [ 4, 910 ] ] }, { "V_degree": 5, "W_degree": 6, "primitive_blocks": [ [ 1, 14 ], [ 3, 350 ], [ 5, 1638 ] ] }, { "V_degree": 6, "W_degree": 6, "primitive_blocks": [ [ 0, 1 ], [ 2, 90 ], [ 4, 910 ], [ 6, 2002 ] ] }, { "V_degree": 7, "W_degree": 8, "primitive_blocks": [ [ 1, 14 ], [ 3, 350 ], [ 5, 1638 ], [ 7, 1430 ] ] }, { "V_degree": 8, "W_degree": 8, "primitive_blocks": [ [ 0, 1 ], [ 2, 90 ], [ 4, 910 ], [ 6, 2002 ] ] }, { "V_degree": 9, "W_degree": 10, "primitive_blocks": [ [ 1, 14 ], [ 3, 350 ], [ 5, 1638 ] ] }, { "V_degree": 10, "W_degree": 10, "primitive_blocks": [ [ 0, 1 ], [ 2, 90 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Simplicity and full-residual-equivariance criteria are additional premises." }, "cubic_tensor_count": { "certificates": [ { "m": 1, "torus_neutral_basis": 0, "constraint_rows": 0, "rank_mod_prime": 0, "invariant_dimension": 0, "complementary_channels": [], "integer_annihilation_checks": 0 }, { "m": 2, "torus_neutral_basis": 1, "constraint_rows": 0, "rank_mod_prime": 0, "invariant_dimension": 1, "complementary_channels": [ [ 0, 0, 2 ] ], "integer_annihilation_checks": 0 }, { "m": 3, "torus_neutral_basis": 3, "constraint_rows": 6, "rank_mod_prime": 2, "invariant_dimension": 1, "complementary_channels": [ [ 1, 1, 1 ] ], "integer_annihilation_checks": 6 }, { "m": 4, "torus_neutral_basis": 10, "constraint_rows": 36, "rank_mod_prime": 8, "invariant_dimension": 2, "complementary_channels": [ [ 0, 0, 4 ], [ 2, 0, 2 ] ], "integer_annihilation_checks": 72 }, { "m": 5, "torus_neutral_basis": 30, "constraint_rows": 200, "rank_mod_prime": 28, "invariant_dimension": 2, "complementary_channels": [ [ 1, 1, 3 ], [ 3, 1, 1 ] ], "integer_annihilation_checks": 400 }, { "m": 6, "torus_neutral_basis": 91, "constraint_rows": 900, "rank_mod_prime": 87, "invariant_dimension": 4, "complementary_channels": [ [ 0, 0, 6 ], [ 0, 2, 4 ], [ 2, 0, 4 ], [ 4, 0, 2 ] ], "integer_annihilation_checks": 3600 }, { "m": 7, "torus_neutral_basis": 273, "constraint_rows": 3822, "rank_mod_prime": 269, "invariant_dimension": 4, "complementary_channels": [ [ 1, 1, 5 ], [ 1, 3, 3 ], [ 3, 1, 3 ], [ 5, 1, 1 ] ], "integer_annihilation_checks": 15288 } ], "formula": "N_(2r)=N_(2r+1)=floor((r+1)^2/4)", "scope": "Full U(m) complex-linear invariant tensor F tensor Lambda\u00b2(F det^-1). 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