Recorded data and provenance for the associated calculation.
| timestamp | 20260913T204251Z |
|---|---|
| scope | Complete finite same-depth oscillator multiplets of the positive matrix-current hierarchy. Charge decomposition and the positive squared-frequency form imply no exponentially growing homogeneous Fourier modes under the stated common coherent preparation and positive source gap. Physical spatial carriers and nonuniform stability remain open. |
| passed | true |
View complete data
{
"timestamp": "20260913T204251Z",
"scope": "Complete finite same-depth oscillator multiplets of the positive matrix-current hierarchy. Charge decomposition and the positive squared-frequency form imply no exponentially growing homogeneous Fourier modes under the stated common coherent preparation and positive source gap. Physical spatial carriers and nonuniform stability remain open.",
"checks": [
{
"name": "n=1: full stationary source",
"error": 6.280369834735101e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1: ordinary Hermitian Hessian",
"error": 3.3306690738754696e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1: conjugate symmetric Hessian",
"error": 2.482534153247273e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1: oscillator charge preserved",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1: anomalous source only in zero charge",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1: all positive charge blocks are complex linear",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0: curvature positive",
"error": 1.0408340855860843e-16,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=1,j=0: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=1,j=0: complete ordinary channel",
"error": 1.1853938111129682e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0: complete conjugate channel",
"error": 7.259024953699689e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0,p=0.1: exact symmetrizer",
"error": 4.1168171577819285e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0,p=0.1: positive quadratic form identity",
"error": 2.1003725276543035e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0,p=1.0: exact symmetrizer",
"error": 9.930136612989092e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0,p=1.0: positive quadratic form identity",
"error": 2.774495919187417e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0,p=5.0: exact symmetrizer",
"error": 9.39959687352353e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=0,p=5.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1: curvature positive",
"error": 0.0,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=1,j=1: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=1,j=1: complete ordinary channel",
"error": 9.964986097963502e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1: complete conjugate channel",
"error": 4.518280359883027e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1,p=0.1: exact symmetrizer",
"error": 6.359601310784502e-17,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1,p=0.1: positive quadratic form identity",
"error": 1.724895039622492e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1,p=1.0: exact symmetrizer",
"error": 2.220446049250313e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1,p=1.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1,p=5.0: exact symmetrizer",
"error": 1.434896150467636e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=1,p=5.0: positive quadratic form identity",
"error": 3.2324657304433616e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2: curvature positive",
"error": 0.0,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=1,j=2: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=1,j=2: complete ordinary channel",
"error": 1.1060518526157679e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2: complete conjugate channel",
"error": 1.8410966031475738e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2,p=0.1: exact symmetrizer",
"error": 6.359601310784502e-17,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2,p=0.1: positive quadratic form identity",
"error": 1.3016634391283292e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2,p=1.0: exact symmetrizer",
"error": 2.220446049250313e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2,p=1.0: positive quadratic form identity",
"error": 1.5320274352382148e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2,p=5.0: exact symmetrizer",
"error": 1.434896150467636e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=2,p=5.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3: curvature positive",
"error": 0.0,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=1,j=3: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=1,j=3: complete ordinary channel",
"error": 1.1060518526157679e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3: complete conjugate channel",
"error": 1.8410966031475738e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3,p=0.1: exact symmetrizer",
"error": 6.359601310784502e-17,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3,p=0.1: positive quadratic form identity",
"error": 1.6240995677847172e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3,p=1.0: exact symmetrizer",
"error": 2.220446049250313e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3,p=1.0: positive quadratic form identity",
"error": 1.3437066539056013e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3,p=5.0: exact symmetrizer",
"error": 1.434896150467636e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1,j=3,p=5.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1: all zero-charge components represented",
"error": 1.0932989485744118e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=1: independent complete energy variation",
"error": 2.8579122401950485e-10,
"tolerance": 3e-08,
"passed": true
},
{
"name": "n=1: independent complete source variation",
"error": 2.003465508768302e-10,
"tolerance": 2e-08,
"passed": true
},
{
"name": "n=1,p=0.01: full Fourier spectrum",
"error": 6.889734469383138e-14,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=1,p=0.1: full Fourier spectrum",
"error": 2.220446049250313e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=1,p=0.5: full Fourier spectrum",
"error": 1.6653345369377348e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=1,p=1.0: full Fourier spectrum",
"error": 2.2826653530382076e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=1,p=2.0: full Fourier spectrum",
"error": 2.2205931174875008e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=1,p=5.0: full Fourier spectrum",
"error": 1.7208456881689926e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=1,p=10.0: full Fourier spectrum",
"error": 6.827396663364998e-16,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=2: full stationary source",
"error": 1.2560739669470201e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2: ordinary Hermitian Hessian",
"error": 3.510833468576701e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2: conjugate symmetric Hessian",
"error": 3.3306690738754696e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2: oscillator charge preserved",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2: anomalous source only in zero charge",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2: all positive charge blocks are complex linear",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0: curvature positive",
"error": 0.0,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=2,j=0: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=2,j=0: complete ordinary channel",
"error": 1.753660438966888e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0: complete conjugate channel",
"error": 1.3426356273935429e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0,p=0.1: exact symmetrizer",
"error": 1.3077560134122365e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0,p=0.1: positive quadratic form identity",
"error": 1.492859720873026e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0,p=1.0: exact symmetrizer",
"error": 1.831026719408895e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0,p=1.0: positive quadratic form identity",
"error": 2.004473511691061e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0,p=5.0: exact symmetrizer",
"error": 1.5485919901226005e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=0,p=5.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1: curvature positive",
"error": 5.551115123125783e-17,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=2,j=1: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=2,j=1: complete ordinary channel",
"error": 1.2926472139568343e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1: complete conjugate channel",
"error": 6.9831616186284e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1,p=0.1: exact symmetrizer",
"error": 2.044325800678625e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1,p=0.1: positive quadratic form identity",
"error": 3.092274178355581e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1,p=1.0: exact symmetrizer",
"error": 4.440892098500626e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1,p=1.0: positive quadratic form identity",
"error": 2.0103183261637597e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1,p=5.0: exact symmetrizer",
"error": 1.778575899402738e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=1,p=5.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2: curvature positive",
"error": 5.551115123125783e-17,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=2,j=2: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=2,j=2: complete ordinary channel",
"error": 1.6814473403471375e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2: complete conjugate channel",
"error": 1.5202354861220294e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2,p=0.1: exact symmetrizer",
"error": 2.044325800678625e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2,p=0.1: positive quadratic form identity",
"error": 2.3771685529328184e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2,p=1.0: exact symmetrizer",
"error": 4.440892098500626e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2,p=1.0: positive quadratic form identity",
"error": 2.051159756798876e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2,p=5.0: exact symmetrizer",
"error": 1.778575899402738e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=2,p=5.0: positive quadratic form identity",
"error": 2.274494304709071e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3: curvature positive",
"error": 5.551115123125783e-17,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=2,j=3: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=2,j=3: complete ordinary channel",
"error": 1.6814473403471375e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3: complete conjugate channel",
"error": 1.5202354861220294e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3,p=0.1: exact symmetrizer",
"error": 2.044325800678625e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3,p=0.1: positive quadratic form identity",
"error": 1.2263323383899243e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3,p=1.0: exact symmetrizer",
"error": 4.440892098500626e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3,p=1.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3,p=5.0: exact symmetrizer",
"error": 1.778575899402738e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2,j=3,p=5.0: positive quadratic form identity",
"error": 1.207680499015294e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2: all zero-charge components represented",
"error": 1.262432884528343e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=2: independent complete energy variation",
"error": 1.6888778292534212e-09,
"tolerance": 3e-08,
"passed": true
},
{
"name": "n=2: independent complete source variation",
"error": 5.416467839964967e-10,
"tolerance": 2e-08,
"passed": true
},
{
"name": "n=2,p=0.01: full Fourier spectrum",
"error": 8.789079675531336e-14,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=2,p=0.1: full Fourier spectrum",
"error": 6.813993813636898e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=2,p=0.5: full Fourier spectrum",
"error": 3.3861802251067274e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=2,p=1.0: full Fourier spectrum",
"error": 2.909411881358082e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=2,p=2.0: full Fourier spectrum",
"error": 5.329070518200751e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=2,p=5.0: full Fourier spectrum",
"error": 6.206840597045016e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=2,p=10.0: full Fourier spectrum",
"error": 1.0401285049579202e-14,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=3: full stationary source",
"error": 5.0242958677880805e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3: ordinary Hermitian Hessian",
"error": 4.002966042486721e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3: conjugate symmetric Hessian",
"error": 3.3306690738754696e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3: oscillator charge preserved",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3: anomalous source only in zero charge",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3: all positive charge blocks are complex linear",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0: curvature positive",
"error": 0.0,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=3,j=0: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=3,j=0: complete ordinary channel",
"error": 4.027524346742929e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0: complete conjugate channel",
"error": 1.3844441052834806e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0,p=0.1: exact symmetrizer",
"error": 8.72426222681228e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0,p=0.1: positive quadratic form identity",
"error": 1.3753518815730449e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0,p=1.0: exact symmetrizer",
"error": 8.005932084973442e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0,p=1.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0,p=5.0: exact symmetrizer",
"error": 3.31375071492659e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=0,p=5.0: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1: curvature positive",
"error": 5.117434254131581e-17,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=3,j=1: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=3,j=1: complete ordinary channel",
"error": 5.0572303971131015e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1: complete conjugate channel",
"error": 6.467704259788845e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1,p=0.1: exact symmetrizer",
"error": 5.0367958259632545e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1,p=0.1: positive quadratic form identity",
"error": 2.2901370442804623e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1,p=1.0: exact symmetrizer",
"error": 1.9860273225978185e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1,p=1.0: positive quadratic form identity",
"error": 1.6980401846763928e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1,p=5.0: exact symmetrizer",
"error": 2.56958474791159e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=1,p=5.0: positive quadratic form identity",
"error": 1.220354626091535e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2: curvature positive",
"error": 5.117434254131581e-17,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=3,j=2: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=3,j=2: complete ordinary channel",
"error": 6.10370287974658e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2: complete conjugate channel",
"error": 6.473657049138938e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2,p=0.1: exact symmetrizer",
"error": 5.0367958259632545e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2,p=0.1: positive quadratic form identity",
"error": 1.8435176035556493e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2,p=1.0: exact symmetrizer",
"error": 1.9860273225978185e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2,p=1.0: positive quadratic form identity",
"error": 2.463231319307724e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2,p=5.0: exact symmetrizer",
"error": 2.56958474791159e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=2,p=5.0: positive quadratic form identity",
"error": 2.2022810625946904e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3: curvature positive",
"error": 5.117434254131581e-17,
"tolerance": 2e-12,
"passed": true
},
{
"name": "n=3,j=3: strict complementary curvature",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "n=3,j=3: complete ordinary channel",
"error": 6.10370287974658e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3: complete conjugate channel",
"error": 6.473657049138938e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3,p=0.1: exact symmetrizer",
"error": 5.0367958259632545e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3,p=0.1: positive quadratic form identity",
"error": 0.0,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3,p=1.0: exact symmetrizer",
"error": 1.9860273225978185e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3,p=1.0: positive quadratic form identity",
"error": 1.188428525073216e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3,p=5.0: exact symmetrizer",
"error": 2.56958474791159e-14,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3,j=3,p=5.0: positive quadratic form identity",
"error": 1.7989623382606225e-16,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3: all zero-charge components represented",
"error": 1.4107335371132723e-15,
"tolerance": 2e-10,
"passed": true
},
{
"name": "n=3: independent complete energy variation",
"error": 8.669963635909994e-10,
"tolerance": 3e-08,
"passed": true
},
{
"name": "n=3: independent complete source variation",
"error": 1.3406660580951731e-09,
"tolerance": 2e-08,
"passed": true
},
{
"name": "n=3,p=0.01: full Fourier spectrum",
"error": 4.657210443064863e-14,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=3,p=0.1: full Fourier spectrum",
"error": 1.1969591984239969e-14,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=3,p=0.5: full Fourier spectrum",
"error": 8.881784197001252e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=3,p=1.0: full Fourier spectrum",
"error": 4.750663751220015e-15,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=3,p=2.0: full Fourier spectrum",
"error": 1.131733595727269e-14,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=3,p=5.0: full Fourier spectrum",
"error": 1.3667886267221263e-14,
"tolerance": 3e-09,
"passed": true
},
{
"name": "n=3,p=10.0: full Fourier spectrum",
"error": 1.2245413016920281e-14,
"tolerance": 3e-09,
"passed": true
}
],
"passed": true,
"results": [
{
"degree": 1,
"complex_components": 56,
"zero_charge_components": 24,
"positive_charge_components": 32,
"frequency": 4.199999999999999,
"normal_frequency": 2.4,
"maximum_imaginary": 6.889734469383138e-14
},
{
"degree": 2,
"complex_components": 128,
"zero_charge_components": 32,
"positive_charge_components": 96,
"frequency": 8.399999999999999,
"normal_frequency": 2.4,
"maximum_imaginary": 8.789079675531336e-14
},
{
"degree": 3,
"complex_components": 240,
"zero_charge_components": 40,
"positive_charge_components": 200,
"frequency": 14.0,
"normal_frequency": 2.4,
"maximum_imaginary": 4.657210443064863e-14
}
],
"sources": {
"matrix_hierarchy_checks.py": "4693502512cc1a78b78642914562c802d20728f4beab9527bef9bac8bba31dc6",
"matrix_hierarchy.py": "2ecaac9ffaa8fa0421dabab4feade0fe2fee29c39e1635a9caef2f29f4f4a193",
"causal_current_hierarchy.py": "571f5fcea6023719ef477be24b81384b90cdb6ffb7b73d7ff0e15fd134420830",
"quartic_current_hierarchy_checks.py": "ce0ccfaae807f54ed82b7dc0995e9778c03f986b9329320e17c93092708ff18d",
"localized_current_model.py": "bea8db856f55959328e92d99c089ed26db3b35e717533c67a14c9444d5f1a2e4"
},
"raw_data": {
"path": "matrix-hierarchy-20260913T204251Z.npz",
"sha256": "22ffdbe635ba906d2c070318d5747bc2aecabd48af70eb74e6d815099d7b2ce5"
}
}