Recorded data and provenance for the associated calculation.
| timestamp | 20260914T010237_864118Z |
|---|---|
| scope | Complete spatial spinor operator, multiplicity and polarization checks. |
| passed | true |
View complete data
{
"timestamp": "20260914T010237_864118Z",
"scope": "Complete spatial spinor operator, multiplicity and polarization checks.",
"checks": [
{
"name": "complete Killing-frame square m=2 trial=0",
"error": 5.42024706214171e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=2 trial=0",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=2 trial=0",
"error": 7.536960926065245e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=2 trial=0",
"error": 1.6653345369377348e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=2 trial=1",
"error": 4.590218439538486e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=2 trial=1",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=2 trial=1",
"error": 3.5534427731395484e-17,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=2 trial=1",
"error": 5.20740757162067e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=2 trial=2",
"error": 2.087852723076389e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=2 trial=2",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=2 trial=2",
"error": 2.5135431783046894e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=2 trial=2",
"error": 3.188872858294072e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=2 trial=3",
"error": 2.4845033858459555e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=2 trial=3",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=2 trial=3",
"error": 1.570093256173795e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=2 trial=3",
"error": 5.874748045952207e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=2 trial=4",
"error": 3.3828529725999635e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=2 trial=4",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=2 trial=4",
"error": 7.850465778914461e-17,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=2 trial=4",
"error": 7.108895957933346e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=2 trial=5",
"error": 1.4612604094297207e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=2 trial=5",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=2 trial=5",
"error": 5.697034153431782e-19,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=2 trial=5",
"error": 1.5700924586837752e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "actual spin connection versus ambient Killing frame m=2",
"error": 6.206335383118183e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=0",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=1",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=2",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=2",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=3",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=3",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=4",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=4",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=5",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=5",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=6",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=6",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=7",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=7",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=8",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=8",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=9",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=9",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=10",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=10",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=11",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=11",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=12",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=12",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=13",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=13",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=14",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=14",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=15",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=15",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=16",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=16",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=17",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=17",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=18",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=18",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=19",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=19",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=20",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=20",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=21",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=21",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=22",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=22",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=23",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=23",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=24",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=24",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=25",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=25",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=26",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=26",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=27",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=27",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=28",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=28",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=29",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=29",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=30",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=30",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=31",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=31",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=32",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=32",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=33",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=33",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=34",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=34",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=35",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=35",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=36",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=36",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=37",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=37",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=38",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=38",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=39",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=39",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=2 ell=40",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=4 ell=40",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "full normal angular second moment m=2",
"error": 1.1102230246251565e-16,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=2 a=0 b=0",
"error": 1.1102230246251565e-16,
"tolerance": 2e-13,
"passed": true
},
{
"name": "complete Killing-frame square m=4 trial=0",
"error": 4.502142500225496e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=4 trial=0",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=4 trial=0",
"error": 2.87224144810397e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=4 trial=0",
"error": 2.2948339460476127e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=4 trial=1",
"error": 3.865742160150366e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=4 trial=1",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=4 trial=1",
"error": 2.2978655651236926e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=4 trial=1",
"error": 1.7678798357783275e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=4 trial=2",
"error": 4.543258476994975e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=4 trial=2",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=4 trial=2",
"error": 2.2576885791296274e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=4 trial=2",
"error": 1.280973189656179e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=4 trial=3",
"error": 2.574366444264995e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=4 trial=3",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=4 trial=3",
"error": 7.839935948069502e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=4 trial=3",
"error": 1.2412670766236366e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=4 trial=4",
"error": 3.175672055650621e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=4 trial=4",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=4 trial=4",
"error": 1.0169354140567783e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=4 trial=4",
"error": 1.3608726004012153e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=4 trial=5",
"error": 1.9291268129807863e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=4 trial=5",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=4 trial=5",
"error": 4.827966598380395e-16,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=4 trial=5",
"error": 2.059905059335007e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "actual spin connection versus ambient Killing frame m=4",
"error": 1.3597399555105183e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=0",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=1",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=2",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=2",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=3",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=3",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=4",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=4",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=5",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=5",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=6",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=6",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=7",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=7",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=8",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=8",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=9",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=9",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=10",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=10",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=11",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=11",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=12",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=12",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=13",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=13",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=14",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=14",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=15",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=15",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=16",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=16",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=17",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=17",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=18",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=18",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=19",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=19",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=20",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=20",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=21",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=21",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=22",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=22",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=23",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=23",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=24",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=24",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=25",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=25",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=26",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=26",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=27",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=27",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=28",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=28",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=29",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=29",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=30",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=30",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=31",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=31",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=32",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=32",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=33",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=33",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=34",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=34",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=35",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=35",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=36",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=36",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=37",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=37",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=38",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=38",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=39",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=39",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=4 ell=40",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=6 ell=40",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "full normal angular second moment m=4",
"error": 2.884444029575346e-16,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=0 b=0",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=0 b=1",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=0 b=2",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=1 b=0",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=1 b=1",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=1 b=2",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=2 b=0",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=2 b=1",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=4 a=2 b=2",
"error": 2.7755575615628914e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "complete Killing-frame square m=8 trial=0",
"error": 3.334980152973649e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=8 trial=0",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=8 trial=0",
"error": 2.6457218593529033e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=8 trial=0",
"error": 4.277691619040812e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=8 trial=1",
"error": 2.303189696120604e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=8 trial=1",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=8 trial=1",
"error": 1.7017416903991832e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=8 trial=1",
"error": 5.514635454302687e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=8 trial=2",
"error": 2.7409074689635737e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=8 trial=2",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=8 trial=2",
"error": 8.489431438073282e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=8 trial=2",
"error": 4.824682339785894e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=8 trial=3",
"error": 2.821788861371681e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=8 trial=3",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=8 trial=3",
"error": 8.906849945337815e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=8 trial=3",
"error": 4.893804659408072e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=8 trial=4",
"error": 4.1007784212450196e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=8 trial=4",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=8 trial=4",
"error": 8.746814816499155e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=8 trial=4",
"error": 3.5756248884384146e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete Killing-frame square m=8 trial=5",
"error": 2.806365245020343e-16,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full Hermitian principal symbol m=8 trial=5",
"error": 0.0,
"tolerance": 3e-12,
"passed": true
},
{
"name": "full principal speed m=8 trial=5",
"error": 4.8275603236373176e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "common actual space and spin rotation m=8 trial=5",
"error": 4.81509242304977e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "actual spin connection versus ambient Killing frame m=8",
"error": 9.395170100171459e-15,
"tolerance": 3e-11,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=0",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=1",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=2",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=2",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=3",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=3",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=4",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=4",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=5",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=5",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=6",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=6",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=7",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=7",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=8",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=8",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=9",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=9",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=10",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=10",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=11",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=11",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=12",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=12",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=13",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=13",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=14",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=14",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=15",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=15",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=16",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=16",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=17",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=17",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=18",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=18",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=19",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=19",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=20",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=20",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=21",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=21",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=22",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=22",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=23",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=23",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=24",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=24",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=25",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=25",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=26",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=26",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=27",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=27",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=28",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=28",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=29",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=29",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=30",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=30",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=31",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=31",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=32",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=32",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=33",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=33",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=34",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=34",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=35",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=35",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=36",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=36",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=37",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=37",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=38",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=38",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=39",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=39",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "complete adjacent Dirac multiplicity m=8 ell=40",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "spinor curvature product d=10 ell=40",
"error": 0.0,
"tolerance": 2e-14,
"passed": true
},
{
"name": "full normal angular second moment m=8",
"error": 1.0280907868579007e-15,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=0 b=0",
"error": 1.3877787807814457e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=0 b=1",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=0 b=2",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=0 b=3",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=0 b=4",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=0 b=5",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=0 b=6",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=1 b=0",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=1 b=1",
"error": 1.3877787807814457e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=1 b=2",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=1 b=3",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=1 b=4",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=1 b=5",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=1 b=6",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=2 b=0",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=2 b=1",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=2 b=2",
"error": 1.3877787807814457e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=2 b=3",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=2 b=4",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=2 b=5",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=2 b=6",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=3 b=0",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=3 b=1",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=3 b=2",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=3 b=3",
"error": 1.3877787807814457e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=3 b=4",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=3 b=5",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=3 b=6",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=4 b=0",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=4 b=1",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=4 b=2",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=4 b=3",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=4 b=4",
"error": 1.3877787807814457e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=4 b=5",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=4 b=6",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=5 b=0",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=5 b=1",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=5 b=2",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=5 b=3",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=5 b=4",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=5 b=5",
"error": 1.3877787807814457e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=5 b=6",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=6 b=0",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=6 b=1",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=6 b=2",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=6 b=3",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=6 b=4",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=6 b=5",
"error": 6.938893903907228e-18,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full normal angular fourth moment m=8 a=6 b=6",
"error": 1.3877787807814457e-17,
"tolerance": 2e-13,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=14 real=False sign=-1",
"error": 8.881784197001252e-16,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=14 real=False sign=-1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=14 real=False sign=1",
"error": 1.3322676295501878e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=14 real=False sign=1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=14 real=True sign=-1",
"error": 1.2212453270876722e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=14 real=True sign=-1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=14 real=True sign=1",
"error": 1.2212453270876722e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=14 real=True sign=1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=36 real=False sign=-1",
"error": 5.2735593669694936e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=36 real=False sign=-1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=36 real=False sign=1",
"error": 5.88418203051333e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=36 real=False sign=1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=36 real=True sign=-1",
"error": 5.495603971894525e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=36 real=True sign=-1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=4 ell=36 real=True sign=1",
"error": 5.88418203051333e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=4 ell=36 real=True sign=1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=8 ell=24 real=False sign=-1",
"error": 4.0245584642661925e-15,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=8 ell=24 real=False sign=-1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=8 ell=24 real=False sign=1",
"error": 1.354472090042691e-14,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=8 ell=24 real=False sign=1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=8 ell=24 real=True sign=-1",
"error": 1.0547118733938987e-14,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=8 ell=24 real=True sign=-1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
},
{
"name": "full projected spinor norm m=8 ell=24 real=True sign=1",
"error": 1.2656542480726785e-14,
"tolerance": 5e-11,
"passed": true
},
{
"name": "full spinor current speed bound m=8 ell=24 real=True sign=1",
"error": 0.0,
"tolerance": 2e-11,
"passed": true
}
],
"passed": true,
"results": [
{
"depth": 6,
"surface_degree": 14,
"real_pattern": false,
"sign": -1,
"norm": 0.44529840828430695,
"current_square": 0.11319236628564663,
"density_square": 0.11521365854074744,
"unit_current_square": 0.570840599327773,
"max_current_bound_violation": 0.0
},
{
"depth": 6,
"surface_degree": 14,
"real_pattern": false,
"sign": 1,
"norm": 0.5547015917156909,
"current_square": 0.18570394857982508,
"density_square": 0.18906594984605,
"unit_current_square": 0.6035347961877922,
"max_current_bound_violation": 0.0
},
{
"depth": 6,
"surface_degree": 14,
"real_pattern": true,
"sign": -1,
"norm": 0.4516129032258052,
"current_square": 0.08722283141099002,
"density_square": 0.11850436999572343,
"unit_current_square": 0.4276588825814381,
"max_current_bound_violation": 0.0
},
{
"depth": 6,
"surface_degree": 14,
"real_pattern": true,
"sign": 1,
"norm": 0.5483870967741923,
"current_square": 0.13491992335715988,
"density_square": 0.18077057224007467,
"unit_current_square": 0.4486437589834992,
"max_current_bound_violation": 0.0
},
{
"depth": 6,
"surface_degree": 36,
"real_pattern": false,
"sign": -1,
"norm": 0.4732885939478982,
"current_square": 0.503551231266594,
"density_square": 0.5070481148170563,
"unit_current_square": 2.2479755620152564,
"max_current_bound_violation": 0.0
},
{
"depth": 6,
"surface_degree": 36,
"real_pattern": false,
"sign": 1,
"norm": 0.526711406052113,
"current_square": 0.6370769855192008,
"density_square": 0.6415458130549975,
"unit_current_square": 2.2963943518688485,
"max_current_bound_violation": 0.0
},
{
"depth": 6,
"surface_degree": 36,
"real_pattern": true,
"sign": -1,
"norm": 0.4800000000000055,
"current_square": 0.38191537702839085,
"density_square": 0.5215303303875509,
"unit_current_square": 1.6576188239079084,
"max_current_bound_violation": 0.0
},
{
"depth": 6,
"surface_degree": 36,
"real_pattern": true,
"sign": 1,
"norm": 0.5200000000000059,
"current_square": 0.4537907817728285,
"density_square": 0.6158554614314672,
"unit_current_square": 1.6782203467929668,
"max_current_bound_violation": 0.0
},
{
"depth": 10,
"surface_degree": 24,
"real_pattern": false,
"sign": -1,
"norm": 0.21990233200076445,
"current_square": 1.1527131864993505,
"density_square": 1.1692644161301882,
"unit_current_square": 23.837548595255733,
"max_current_bound_violation": 0.0
},
{
"depth": 10,
"surface_degree": 24,
"real_pattern": false,
"sign": 1,
"norm": 0.780097667999218,
"current_square": 15.957504151363542,
"density_square": 16.285102117330233,
"unit_current_square": 26.222072077282352,
"max_current_bound_violation": 0.0
},
{
"depth": 10,
"surface_degree": 24,
"real_pattern": true,
"sign": -1,
"norm": 0.43636363636362585,
"current_square": 3.652526863443223,
"density_square": 4.604157457692198,
"unit_current_square": 19.1821072255491,
"max_current_bound_violation": 0.0
},
{
"depth": 10,
"surface_degree": 24,
"real_pattern": true,
"sign": 1,
"norm": 0.563636363636351,
"current_square": 6.375955435982716,
"density_square": 8.137413129912943,
"unit_current_square": 20.069994998801857,
"max_current_bound_violation": 0.0
}
],
"sources": {
"curvature_spinor_parent.py": "3feafa201066dfb90a3209dbce02de9f42747e8a8363f59d1916ba67443ab36a",
"curvature_spinor_parent_checks.py": "a43ee018f334cadf9d417fb71ee053fe1f9d6ea23e03906edb85d1b704c01144",
"spatial_form_currents.py": "19de395f7b6f3ee4513f265f46f8c3893c04c3a3543896c8440a7d844066dce5"
}
}