{ "utc": "2026-10-13T21:34:25.124430+00:00", "status": "pass", "exact_checks": 676, "check_labels": [ "L walk m1 k0", "D adjoint product m1 k0", "DDadj m1 k0", "integrated adjoint m1 k0 j0", "integrated adjoint m1 k0 j1", "integrated adjoint m1 k0 j2", "L walk m1 k1", "D adjoint product m1 k1", "DDadj m1 k1", "integrated adjoint m1 k1 j0", "integrated adjoint m1 k1 j1", "integrated adjoint m1 k1 j2", "L walk m1 k2", "D adjoint product m1 k2", "DDadj m1 k2", "integrated adjoint m1 k2 j0", "integrated adjoint m1 k2 j1", "integrated adjoint m1 k2 j2", "L walk m1 k3", "D adjoint product m1 k3", "DDadj m1 k3", "integrated adjoint m1 k3 j0", "integrated adjoint m1 k3 j1", "integrated adjoint m1 k3 j2", "L walk m1 k4", "D adjoint product m1 k4", "DDadj m1 k4", "integrated adjoint m1 k4 j0", "integrated adjoint m1 k4 j1", "integrated adjoint m1 k4 j2", "L walk m1 k5", "D adjoint product m1 k5", "DDadj m1 k5", "integrated adjoint m1 k5 j0", "integrated adjoint m1 k5 j1", "integrated adjoint m1 k5 j2", "L walk m1 k6", "D adjoint product m1 k6", "DDadj m1 k6", "integrated adjoint m1 k6 j0", "integrated adjoint m1 k6 j1", "integrated adjoint m1 k6 j2", "L walk m1 k7", "D adjoint product m1 k7", "DDadj m1 k7", "integrated adjoint m1 k7 j0", "integrated adjoint m1 k7 j1", "integrated adjoint m1 k7 j2", "L walk m1 k8", "D adjoint product m1 k8", "DDadj m1 k8", "integrated adjoint m1 k8 j0", "integrated adjoint m1 k8 j1", "integrated adjoint m1 k8 j2", "L walk m1 k9", "D adjoint product m1 k9", "DDadj m1 k9", "integrated adjoint m1 k9 j0", "integrated adjoint m1 k9 j1", "integrated adjoint m1 k9 j2", "L walk m1 k10", "D adjoint product m1 k10", "DDadj m1 k10", "integrated adjoint m1 k10 j0", "integrated adjoint m1 k10 j1", "integrated adjoint m1 k10 j2", "Gegenbauer/Chebyshev m1 ell2", "norm m1 ell2", "positive symbol d3 ell2", "shifted norm d3 ell2", "odd sqrt source d3 ell2", "odd target sqrt d3 ell2", "odd extended multiplier d3 ell2", "Gegenbauer/Chebyshev m1 ell3", "norm m1 ell3", "positive symbol d3 ell3", "shifted norm d3 ell3", "odd sqrt source d3 ell3", "odd target sqrt d3 ell3", "odd extended multiplier d3 ell3", "Gegenbauer/Chebyshev m1 ell4", "norm m1 ell4", "positive symbol d3 ell4", "shifted norm d3 ell4", "odd sqrt source d3 ell4", "odd target sqrt d3 ell4", "odd extended multiplier d3 ell4", "Gegenbauer/Chebyshev m1 ell5", "norm m1 ell5", "positive symbol d3 ell5", "shifted norm d3 ell5", "odd sqrt source d3 ell5", "odd target sqrt d3 ell5", "odd extended multiplier d3 ell5", "Gegenbauer/Chebyshev m1 ell6", "norm m1 ell6", "positive symbol d3 ell6", "shifted norm d3 ell6", "odd sqrt source d3 ell6", "odd target sqrt d3 ell6", "odd extended multiplier d3 ell6", "Gegenbauer/Chebyshev m1 ell7", "norm m1 ell7", "positive symbol d3 ell7", "shifted norm d3 ell7", "odd sqrt source d3 ell7", "odd target sqrt d3 ell7", "odd extended multiplier d3 ell7", "Gegenbauer/Chebyshev m1 ell8", "norm m1 ell8", "positive symbol d3 ell8", "shifted norm d3 ell8", "odd sqrt source d3 ell8", "odd target sqrt d3 ell8", "odd extended multiplier d3 ell8", "Gegenbauer/Chebyshev m1 ell9", "norm m1 ell9", "positive symbol d3 ell9", "shifted norm d3 ell9", "odd sqrt source d3 ell9", "odd target sqrt d3 ell9", "odd extended multiplier d3 ell9", "Gegenbauer/Chebyshev m1 ell10", "norm m1 ell10", "positive symbol d3 ell10", "shifted norm d3 ell10", "odd sqrt source d3 ell10", "odd target sqrt d3 ell10", "odd extended multiplier d3 ell10", "Gegenbauer/Chebyshev m1 ell11", "norm m1 ell11", "positive symbol d3 ell11", "shifted norm d3 ell11", "odd sqrt source d3 ell11", "odd target sqrt d3 ell11", "odd extended multiplier d3 ell11", "Gegenbauer/Chebyshev m1 ell12", "norm m1 ell12", "positive symbol d3 ell12", "shifted norm d3 ell12", "odd sqrt source d3 ell12", "odd target sqrt d3 ell12", "odd extended multiplier d3 ell12", "L walk m2 k0", "D adjoint product m2 k0", "DDadj m2 k0", "integrated adjoint m2 k0 j0", "integrated adjoint m2 k0 j1", "integrated adjoint m2 k0 j2", "actual even conformal walk d4 k0", "L walk m2 k1", "D adjoint product m2 k1", "DDadj m2 k1", "integrated adjoint m2 k1 j0", "integrated adjoint m2 k1 j1", "integrated adjoint m2 k1 j2", "actual even conformal walk d4 k1", "L walk m2 k2", "D adjoint product m2 k2", "DDadj m2 k2", "integrated adjoint m2 k2 j0", "integrated adjoint m2 k2 j1", "integrated adjoint m2 k2 j2", "actual even conformal walk d4 k2", "L walk m2 k3", "D adjoint product m2 k3", "DDadj m2 k3", "integrated adjoint m2 k3 j0", "integrated adjoint m2 k3 j1", "integrated adjoint m2 k3 j2", "actual even conformal walk d4 k3", "L walk m2 k4", "D adjoint product m2 k4", "DDadj m2 k4", "integrated adjoint m2 k4 j0", "integrated adjoint m2 k4 j1", "integrated adjoint m2 k4 j2", "actual even conformal walk d4 k4", "L walk m2 k5", "D adjoint product m2 k5", "DDadj m2 k5", "integrated adjoint m2 k5 j0", "integrated adjoint m2 k5 j1", "integrated adjoint m2 k5 j2", "actual even conformal walk d4 k5", "L walk m2 k6", "D adjoint product m2 k6", "DDadj m2 k6", "integrated adjoint m2 k6 j0", "integrated adjoint m2 k6 j1", "integrated adjoint m2 k6 j2", "actual even conformal walk d4 k6", "L walk m2 k7", "D adjoint product m2 k7", "DDadj m2 k7", "integrated adjoint m2 k7 j0", "integrated adjoint m2 k7 j1", "integrated adjoint m2 k7 j2", "actual even conformal walk d4 k7", "L walk m2 k8", "D adjoint product m2 k8", "DDadj m2 k8", "integrated adjoint m2 k8 j0", "integrated adjoint m2 k8 j1", "integrated adjoint m2 k8 j2", "actual even conformal walk d4 k8", "L walk m2 k9", "D adjoint product m2 k9", "DDadj m2 k9", "integrated adjoint m2 k9 j0", "integrated adjoint m2 k9 j1", "integrated adjoint m2 k9 j2", "actual even conformal walk d4 k9", "L walk m2 k10", "D adjoint product m2 k10", "DDadj m2 k10", "integrated adjoint m2 k10 j0", "integrated adjoint m2 k10 j1", "integrated adjoint m2 k10 j2", "actual even conformal walk d4 k10", "Gegenbauer/Chebyshev m2 ell2", "norm m2 ell2", "positive symbol d4 ell2", "shifted norm d4 ell2", "Gegenbauer/Chebyshev m2 ell3", "norm m2 ell3", "positive symbol d4 ell3", "shifted norm d4 ell3", "Gegenbauer/Chebyshev m2 ell4", "norm m2 ell4", "positive symbol d4 ell4", "shifted norm d4 ell4", "Gegenbauer/Chebyshev m2 ell5", "norm m2 ell5", "positive symbol d4 ell5", "shifted norm d4 ell5", "Gegenbauer/Chebyshev m2 ell6", "norm m2 ell6", "positive symbol d4 ell6", "shifted norm d4 ell6", "Gegenbauer/Chebyshev m2 ell7", "norm m2 ell7", "positive symbol d4 ell7", "shifted norm d4 ell7", "Gegenbauer/Chebyshev m2 ell8", "norm m2 ell8", "positive symbol d4 ell8", "shifted norm d4 ell8", "Gegenbauer/Chebyshev m2 ell9", "norm m2 ell9", "positive symbol d4 ell9", "shifted norm d4 ell9", "Gegenbauer/Chebyshev m2 ell10", "norm m2 ell10", "positive symbol d4 ell10", "shifted norm d4 ell10", "Gegenbauer/Chebyshev m2 ell11", "norm m2 ell11", "positive symbol d4 ell11", "shifted norm d4 ell11", "Gegenbauer/Chebyshev m2 ell12", "norm m2 ell12", "positive symbol d4 ell12", "shifted norm d4 ell12", "L walk m3 k0", "D adjoint product m3 k0", "DDadj m3 k0", "integrated adjoint m3 k0 j0", "integrated adjoint m3 k0 j1", "integrated adjoint m3 k0 j2", "L walk m3 k1", "D adjoint product m3 k1", "DDadj m3 k1", "integrated adjoint m3 k1 j0", "integrated adjoint m3 k1 j1", "integrated adjoint m3 k1 j2", "L walk m3 k2", "D adjoint product m3 k2", "DDadj m3 k2", "integrated adjoint m3 k2 j0", "integrated adjoint m3 k2 j1", "integrated adjoint m3 k2 j2", "L walk m3 k3", "D adjoint product m3 k3", "DDadj m3 k3", "integrated adjoint m3 k3 j0", "integrated adjoint m3 k3 j1", "integrated adjoint m3 k3 j2", "L walk m3 k4", "D adjoint product m3 k4", "DDadj m3 k4", "integrated adjoint m3 k4 j0", "integrated adjoint m3 k4 j1", "integrated adjoint m3 k4 j2", "L walk m3 k5", "D adjoint product m3 k5", "DDadj m3 k5", "integrated adjoint m3 k5 j0", "integrated adjoint m3 k5 j1", "integrated adjoint m3 k5 j2", "L walk m3 k6", "D adjoint product m3 k6", "DDadj m3 k6", "integrated adjoint m3 k6 j0", "integrated adjoint m3 k6 j1", "integrated adjoint m3 k6 j2", "L walk m3 k7", "D adjoint product m3 k7", "DDadj m3 k7", "integrated adjoint m3 k7 j0", "integrated adjoint m3 k7 j1", "integrated adjoint m3 k7 j2", "L walk m3 k8", "D adjoint product m3 k8", "DDadj m3 k8", "integrated adjoint m3 k8 j0", "integrated adjoint m3 k8 j1", "integrated adjoint m3 k8 j2", "L walk m3 k9", "D adjoint product m3 k9", "DDadj m3 k9", "integrated adjoint m3 k9 j0", "integrated adjoint m3 k9 j1", "integrated adjoint m3 k9 j2", "L walk m3 k10", "D adjoint product m3 k10", "DDadj m3 k10", "integrated adjoint m3 k10 j0", "integrated adjoint m3 k10 j1", "integrated adjoint m3 k10 j2", "Gegenbauer/Chebyshev m3 ell2", "norm m3 ell2", "positive symbol d5 ell2", "shifted norm d5 ell2", "odd sqrt source d5 ell2", "odd target sqrt d5 ell2", "odd extended multiplier d5 ell2", "Gegenbauer/Chebyshev m3 ell3", "norm m3 ell3", "positive symbol d5 ell3", "shifted norm d5 ell3", "odd sqrt source d5 ell3", "odd target sqrt d5 ell3", "odd extended multiplier d5 ell3", "Gegenbauer/Chebyshev m3 ell4", "norm m3 ell4", "positive symbol d5 ell4", "shifted norm d5 ell4", "odd sqrt source d5 ell4", "odd target sqrt d5 ell4", "odd extended multiplier d5 ell4", "Gegenbauer/Chebyshev m3 ell5", "norm m3 ell5", "positive symbol d5 ell5", "shifted norm d5 ell5", "odd sqrt source d5 ell5", "odd target sqrt d5 ell5", "odd extended multiplier d5 ell5", "Gegenbauer/Chebyshev m3 ell6", "norm m3 ell6", "positive symbol d5 ell6", "shifted norm d5 ell6", "odd sqrt source d5 ell6", "odd target sqrt d5 ell6", "odd extended multiplier d5 ell6", "Gegenbauer/Chebyshev m3 ell7", "norm m3 ell7", "positive symbol d5 ell7", "shifted norm d5 ell7", "odd sqrt source d5 ell7", "odd target sqrt d5 ell7", "odd extended multiplier d5 ell7", "Gegenbauer/Chebyshev m3 ell8", "norm m3 ell8", "positive symbol d5 ell8", "shifted norm d5 ell8", "odd sqrt source d5 ell8", "odd target sqrt d5 ell8", "odd extended multiplier d5 ell8", "Gegenbauer/Chebyshev m3 ell9", "norm m3 ell9", "positive symbol d5 ell9", "shifted norm d5 ell9", "odd sqrt source d5 ell9", "odd target sqrt d5 ell9", "odd extended multiplier d5 ell9", "Gegenbauer/Chebyshev m3 ell10", "norm m3 ell10", "positive symbol d5 ell10", "shifted norm d5 ell10", "odd sqrt source d5 ell10", "odd target sqrt d5 ell10", "odd extended multiplier d5 ell10", "Gegenbauer/Chebyshev m3 ell11", "norm m3 ell11", "positive symbol d5 ell11", "shifted norm d5 ell11", "odd sqrt source d5 ell11", "odd target sqrt d5 ell11", "odd extended multiplier d5 ell11", "Gegenbauer/Chebyshev m3 ell12", "norm m3 ell12", "positive symbol d5 ell12", "shifted norm d5 ell12", "odd sqrt source d5 ell12", "odd target sqrt d5 ell12", "odd extended multiplier d5 ell12", "L walk m4 k0", "D adjoint product m4 k0", "DDadj m4 k0", "integrated adjoint m4 k0 j0", "integrated adjoint m4 k0 j1", "integrated adjoint m4 k0 j2", "actual even conformal walk d6 k0", "L walk m4 k1", "D adjoint product m4 k1", "DDadj m4 k1", "integrated adjoint m4 k1 j0", "integrated adjoint m4 k1 j1", "integrated adjoint m4 k1 j2", "actual even conformal walk d6 k1", "L walk m4 k2", "D adjoint product m4 k2", "DDadj m4 k2", "integrated adjoint m4 k2 j0", "integrated adjoint m4 k2 j1", "integrated adjoint m4 k2 j2", "actual even conformal walk d6 k2", "L walk m4 k3", "D adjoint product m4 k3", "DDadj m4 k3", "integrated adjoint m4 k3 j0", "integrated adjoint m4 k3 j1", "integrated adjoint m4 k3 j2", "actual even conformal walk d6 k3", "L walk m4 k4", "D adjoint product m4 k4", "DDadj m4 k4", "integrated adjoint m4 k4 j0", "integrated adjoint m4 k4 j1", "integrated adjoint m4 k4 j2", "actual even conformal walk d6 k4", "L walk m4 k5", "D adjoint product m4 k5", "DDadj m4 k5", "integrated adjoint m4 k5 j0", "integrated adjoint m4 k5 j1", "integrated adjoint m4 k5 j2", "actual even conformal walk d6 k5", "L walk m4 k6", "D adjoint product m4 k6", "DDadj m4 k6", "integrated adjoint m4 k6 j0", "integrated adjoint m4 k6 j1", "integrated adjoint m4 k6 j2", "actual even conformal walk d6 k6", "L walk m4 k7", "D adjoint product m4 k7", "DDadj m4 k7", "integrated adjoint m4 k7 j0", "integrated adjoint m4 k7 j1", "integrated adjoint m4 k7 j2", "actual even conformal walk d6 k7", "L walk m4 k8", "D adjoint product m4 k8", "DDadj m4 k8", "integrated adjoint m4 k8 j0", "integrated adjoint m4 k8 j1", "integrated adjoint m4 k8 j2", "actual even conformal walk d6 k8", "L walk m4 k9", "D adjoint product m4 k9", "DDadj m4 k9", "integrated adjoint m4 k9 j0", "integrated adjoint m4 k9 j1", "integrated adjoint m4 k9 j2", "actual even conformal walk d6 k9", "L walk m4 k10", "D adjoint product m4 k10", "DDadj m4 k10", "integrated adjoint m4 k10 j0", "integrated adjoint m4 k10 j1", "integrated adjoint m4 k10 j2", "actual even conformal walk d6 k10", "Gegenbauer/Chebyshev m4 ell2", "norm m4 ell2", "positive symbol d6 ell2", "shifted norm d6 ell2", "Gegenbauer/Chebyshev m4 ell3", "norm m4 ell3", "positive symbol d6 ell3", "shifted norm d6 ell3", "Gegenbauer/Chebyshev m4 ell4", "norm m4 ell4", "positive symbol d6 ell4", "shifted norm d6 ell4", "Gegenbauer/Chebyshev m4 ell5", "norm m4 ell5", "positive symbol d6 ell5", "shifted norm d6 ell5", "Gegenbauer/Chebyshev m4 ell6", "norm m4 ell6", "positive symbol d6 ell6", "shifted norm d6 ell6", "Gegenbauer/Chebyshev m4 ell7", "norm m4 ell7", "positive symbol d6 ell7", "shifted norm d6 ell7", "Gegenbauer/Chebyshev m4 ell8", "norm m4 ell8", "positive symbol d6 ell8", "shifted norm d6 ell8", "Gegenbauer/Chebyshev m4 ell9", "norm m4 ell9", "positive symbol d6 ell9", "shifted norm d6 ell9", "Gegenbauer/Chebyshev m4 ell10", "norm m4 ell10", "positive symbol d6 ell10", "shifted norm d6 ell10", "Gegenbauer/Chebyshev m4 ell11", "norm m4 ell11", "positive symbol d6 ell11", "shifted norm d6 ell11", "Gegenbauer/Chebyshev m4 ell12", "norm m4 ell12", "positive symbol d6 ell12", "shifted norm d6 ell12", "L walk m8 k0", "D adjoint product m8 k0", "DDadj m8 k0", "integrated adjoint m8 k0 j0", "integrated adjoint m8 k0 j1", "integrated adjoint m8 k0 j2", "actual even conformal walk d10 k0", "L walk m8 k1", "D adjoint product m8 k1", "DDadj m8 k1", "integrated adjoint m8 k1 j0", "integrated adjoint m8 k1 j1", "integrated adjoint m8 k1 j2", "actual even conformal walk d10 k1", "L walk m8 k2", "D adjoint product m8 k2", "DDadj m8 k2", "integrated adjoint m8 k2 j0", "integrated adjoint m8 k2 j1", "integrated adjoint m8 k2 j2", "actual even conformal walk d10 k2", "L walk m8 k3", "D adjoint product m8 k3", "DDadj m8 k3", "integrated adjoint m8 k3 j0", "integrated adjoint m8 k3 j1", "integrated adjoint m8 k3 j2", "actual even conformal walk d10 k3", "L walk m8 k4", "D adjoint product m8 k4", "DDadj m8 k4", "integrated adjoint m8 k4 j0", "integrated adjoint m8 k4 j1", "integrated adjoint m8 k4 j2", "actual even conformal walk d10 k4", "L walk m8 k5", "D adjoint product m8 k5", "DDadj m8 k5", "integrated adjoint m8 k5 j0", "integrated adjoint m8 k5 j1", "integrated adjoint m8 k5 j2", "actual even conformal walk d10 k5", "L walk m8 k6", "D adjoint product m8 k6", "DDadj m8 k6", "integrated adjoint m8 k6 j0", "integrated adjoint m8 k6 j1", "integrated adjoint m8 k6 j2", "actual even conformal walk d10 k6", "L walk m8 k7", "D adjoint product m8 k7", "DDadj m8 k7", "integrated adjoint m8 k7 j0", "integrated adjoint m8 k7 j1", "integrated adjoint m8 k7 j2", "actual even conformal walk d10 k7", "L walk m8 k8", "D adjoint product m8 k8", "DDadj m8 k8", "integrated adjoint m8 k8 j0", "integrated adjoint m8 k8 j1", "integrated adjoint m8 k8 j2", "actual even conformal walk d10 k8", "L walk m8 k9", "D adjoint product m8 k9", "DDadj m8 k9", "integrated adjoint m8 k9 j0", "integrated adjoint m8 k9 j1", "integrated adjoint m8 k9 j2", "actual even conformal walk d10 k9", "L walk m8 k10", "D adjoint product m8 k10", "DDadj m8 k10", "integrated adjoint m8 k10 j0", "integrated adjoint m8 k10 j1", "integrated adjoint m8 k10 j2", "actual even conformal walk d10 k10", "Gegenbauer/Chebyshev m8 ell2", "norm m8 ell2", "positive symbol d10 ell2", "shifted norm d10 ell2", "Gegenbauer/Chebyshev m8 ell3", "norm m8 ell3", "positive symbol d10 ell3", "shifted norm d10 ell3", "Gegenbauer/Chebyshev m8 ell4", "norm m8 ell4", "positive symbol d10 ell4", "shifted norm d10 ell4", "Gegenbauer/Chebyshev m8 ell5", "norm m8 ell5", "positive symbol d10 ell5", "shifted norm d10 ell5", "Gegenbauer/Chebyshev m8 ell6", "norm m8 ell6", "positive symbol d10 ell6", "shifted norm d10 ell6", "Gegenbauer/Chebyshev m8 ell7", "norm m8 ell7", "positive symbol d10 ell7", "shifted norm d10 ell7", "Gegenbauer/Chebyshev m8 ell8", "norm m8 ell8", "positive symbol d10 ell8", "shifted norm d10 ell8", "Gegenbauer/Chebyshev m8 ell9", "norm m8 ell9", "positive symbol d10 ell9", "shifted norm d10 ell9", "Gegenbauer/Chebyshev m8 ell10", "norm m8 ell10", "positive symbol d10 ell10", "shifted norm d10 ell10", "Gegenbauer/Chebyshev m8 ell11", "norm m8 ell11", "positive symbol d10 ell11", "shifted norm d10 ell11", "Gegenbauer/Chebyshev m8 ell12", "norm m8 ell12", "positive symbol d10 ell12", "shifted norm d10 ell12", "d2 critical to Q degree0", "d2 critical to Q degree1", "d2 critical to Q degree2", "d2 critical to Q degree3", "d2 critical to Q degree4", "d2 critical to Q degree5", "d2 critical to Q degree6", "d2 critical to Q degree7", "d2 critical to Q degree8", "d2 critical to Q degree9", "d2 critical to Q degree10", "d2 critical to Q degree11", "d2 critical to Q degree12", "potential quotient d4", "potential quotient d6", "potential quotient d10", "potential quotient d3 squared", "potential quotient d5 squared", "product residual", "S0 absence ell2", "S0 absence ell3", "S0 absence ell4", "S0 absence ell5", "S0 absence ell6", "S0 absence ell7", "S0 absence ell8", "S0 absence ell9" ], "depths": [ { "depth": 2, "surface_dimension": 0, "aux_dimension": 4, "ball_shells": [ { "N": 0, "surface_degree": 2, "surface_scalar_mult": 0, "ball_mult": 1, "clock": 1 }, { "N": 1, "surface_degree": 3, "surface_scalar_mult": 0, "ball_mult": 2, "clock": 3 }, { "N": 2, "surface_degree": 4, "surface_scalar_mult": 0, "ball_mult": 3, "clock": 6 } ] }, { "depth": 3, "surface_dimension": 1, "aux_dimension": 5, "ball_shells": [ { "N": 0, "surface_degree": 2, "surface_scalar_mult": 2, "ball_mult": 1, "clock": 1 }, { "N": 1, "surface_degree": 3, "surface_scalar_mult": 2, "ball_mult": 3, "clock": 4 }, { "N": 2, "surface_degree": 4, "surface_scalar_mult": 2, "ball_mult": 6, "clock": 10 } ] }, { "depth": 4, "surface_dimension": 2, "aux_dimension": 6, "ball_shells": [ { "N": 0, "surface_degree": 2, "surface_scalar_mult": 5, "ball_mult": 1, "clock": 1 }, { "N": 1, "surface_degree": 3, "surface_scalar_mult": 7, "ball_mult": 4, "clock": 5 }, { "N": 2, "surface_degree": 4, "surface_scalar_mult": 9, "ball_mult": 10, "clock": 15 } ] }, { "depth": 5, "surface_dimension": 3, "aux_dimension": 7, "ball_shells": [ { "N": 0, "surface_degree": 2, "surface_scalar_mult": 9, "ball_mult": 1, "clock": 1 }, { "N": 1, "surface_degree": 3, "surface_scalar_mult": 16, "ball_mult": 5, "clock": 6 }, { "N": 2, "surface_degree": 4, "surface_scalar_mult": 25, "ball_mult": 15, "clock": 21 } ] }, { "depth": 6, "surface_dimension": 4, "aux_dimension": 8, "ball_shells": [ { "N": 0, "surface_degree": 2, "surface_scalar_mult": 14, "ball_mult": 1, "clock": 1 }, { "N": 1, "surface_degree": 3, "surface_scalar_mult": 30, "ball_mult": 6, "clock": 7 }, { "N": 2, "surface_degree": 4, "surface_scalar_mult": 55, "ball_mult": 21, "clock": 28 } ] }, { "depth": 10, "surface_dimension": 8, "aux_dimension": 12, "ball_shells": [ { "N": 0, "surface_degree": 2, "surface_scalar_mult": 44, "ball_mult": 1, "clock": 1 }, { "N": 1, "surface_degree": 3, "surface_scalar_mult": 156, "ball_mult": 10, "clock": 11 }, { "N": 2, "surface_degree": 4, "surface_scalar_mult": 450, "ball_mult": 55, "clock": 66 } ] } ], "source_sha256": "614bc53e0fdd2cd8fa2b65e8b369d83ef70b64e8e5e8be2a0c22d2e7ca8d7121", "limits": "Odd source operators are declared spectral extensions; d2 has no S0 bending tower; tensor identities reused from existing V2." }