RECEIPT manifest 20/20; D1421 fb96f3f8a30d88da; house-frame e48d97cdfcad03c5; A1765-map e391d5eccce160ee
RESULT_HASH 54842841fb96065f
HOUSE REPLAY: expected stdout byte-identical; 6 computed, 7 receipt, 2 argument, 0 failed
EXACT FRAME: rank28; electric and kernel magnetic spaces Lagrangian; equal SL8 electric/magnetic norms
EXACT F0 TORUS: dimension4; reconstructed independently, not HF[T]; Z anchor has unit field norm
EXACT FLATS: four-form theta=0 on all28; Z weights -CHI with squared coefficients 1/4
EXACT RADIUS: each U exchanges the Z electric/magnetic pair; N_Z=tanh(2 sum s)-i sech(2 sum s)
EXACT PARITY: A even, U odd; epsilon even and theta odd in the fixed electric frame
HF[T] versus true F0-torus projector max difference 0.035540235
P1 s=[0.21, -0.17, 0.29] phi=[0.4, -0.7, 1.1]
  epsilon28 (value,multiplicity): 0.512207517 x1, 0.640947301 x1, 0.672122599 x4, 0.689153950 x4, 0.755603994 x4, 0.768225999 x1, 1.117465504 x4, 1.260599518 x4, 1.446791547 x4, 2.090037258 x1
  spec K4^-1 theta4: -0.608549887494 -0.485779514132 0.133609371692 1.042898018772
  epsilon_Z 0.826692714520 theta_Z 0.745747690578
  invariant residuals eps28/generalized/Z/full-frame: 6.125e-15 1.592e-15 2.437e-15 1.653e-14
  1/epsilon_Z 1.209639304226; mixed inverse-metric norm 1.597571581028
P2 s=[-0.26, 0.12, 0.33] phi=[-1.05, 0.55, 1.4]
  epsilon28 (value,multiplicity): 0.452659554 x1, 0.626941711 x1, 0.709808787 x4, 0.742763520 x4, 0.809379562 x4, 0.825151833 x1, 0.904715259 x4, 1.152448046 x4, 1.216008402 x4, 1.429079907 x1
  spec K4^-1 theta4: -1.146051855927 -0.327756846809 0.069578447626 1.571174005289
  epsilon_Z 0.579591159031 theta_Z 0.854410466314
  invariant residuals eps28/generalized/Z/full-frame: 4.000e-15 1.216e-15 2.483e-16 1.463e-14
  1/epsilon_Z 1.725354130095; mixed inverse-metric norm 1.941981141068
LEGACY P08: theta sign -1 relative to the archived convention; invariant residual 3.340e-15
FLAT CHECKS: 3 four-form and 3 radius points; max 1.304e-14; full-matrix parity 1.368e-14
CHARGES on the spin-3/2 eight: -1/2 x4, +1/2 x4
D56 a=0.00 epsilon_Z=1.000000000000 theta_Z=-0.000000000000 m3/2_squared=0.500000000000 normalized_ratio=1.000000000000
D56 a=0.10 epsilon_Z=0.552286154278 theta_Z=0.833654607012 m3/2_squared=0.631734085355 normalized_ratio=1.433083641756
D56 a=0.25 epsilon_Z=0.099327927419 theta_Z=0.995054753687 m3/2_squared=1.837112987528 normalized_ratio=2.740076975158
D56 a=0.50 epsilon_Z=0.004957473894 theta_Z=0.999987711651 m3/2_squared=26.625277899463 normalized_ratio=3.788047525441
D56 a=1.00 epsilon_Z=0.000012288425 theta_Z=0.999999999924 m3/2_squared=10182.415051385264 normalized_ratio=3.995977147951
EXACT EDGE RATIO cosh(12a)/cosh(4a)^3 = 4-3 sech(4a)^2; limit 4
RATIO convention: squared coupling proportional to epsilon_Z^-1; literal amplitude epsilon_Z^-1 would give infinity
D56 spin-3/2 mass check 1.601e-15; normalized-ratio check 1.332e-15
CSS positive edge singlet anchor = -Z/sqrt(2), residual 3.758e-15
LATTICE CHOICE E_L=sqrt(2)E, F_L=F/sqrt(2): unimodular alternating pairing; N_L=2N
THETA conditional spin completion Re N_L=Theta_top/(2pi): period of displayed theta_Z is 1/2
THETA without that action/lattice identification: no numerical period of displayed theta_Z is fixed
TOPOLOGICAL convention S_theta=i*Theta_top/(8pi^2)*integral F wedge F: periods 2pi on spin, 4pi on general oriented manifolds
SCOPE: no physical charge lattice, current identification, controlled quantum vacuum, or electromagnetic-field identification added
UNCHANGED INPUTS: 20/20 hashes verify after all executions
D1421 COMPLETE
D1421-END-f47bab4073d6
