RECEIPT manifest 12/12; D1406 d0d16c0d8e93c25c; arrays 510ec1780186bb0d
SELF-CHECK TOKEN: ++--+-++-----
t = +0.0   V1 = -0.0735836696   STr M^2,4,6,8 = ['4.38e-08', '1.44e-07', '1.33e-06', '2.52e+03']
t = +1.0   V1 = -0.0720295642   STr M^2,4,6,8 = ['4.75e-08', '1.47e-07', '1.36e-06', '2.52e+03']
D1406 SELF-CHECK: COMPOSITION 0.250000-0.250000-0.250000 SIGNATURES 44-44-44 LAW-OK
CANONICAL integer-plane correspondence 2.806e-14
COMPOSITION 1->2: all polarized integer coefficients ZERO; house constant 1/4
COMPOSITION 2->3: all polarized integer coefficients ZERO; house constant 1/4
COMPOSITION 3->1: all polarized integer coefficients ZERO; house constant 1/4
HOUSE adjoint-block subspace residuals ['4.376e-08', '2.955e-08', '2.375e-08']
HOUSE split-CD isomorphism: 64 products 6.710e-14; norm 1.519e-14
DERIVATIONS exact dimension14; split g2 Killing +8/-6; nonzero-null left rank4
TORUS fixed dimensions 0/0/0; house-unit automorphism torus rank0; adapted rank2 residual 1.824e-13
CYCLE: exact order3, X invariance, and three normed-action intertwiners
CYCLE fixed algebra: g2(2), Killing +8/-6; invariant positive unit-line dimensions 1/1/1
X COMPONENT: (28,2,2,2); so44 adjoint Casimir residual 3.333e-16
CHARGE CONJUGATION EXISTS: X 4.154e-15; all-four reversal 4.733e-14; fixes (x,w)
HOUSE product: C unit defect 2.877068798; automorphism 22.354615063; anti-automorphism 22.125431335
OLD -R relation: Cnew=H*(-R), H in compact gauge U(4), residual 6.225e-15
COUPLING and THETA: all 27 trilinear coefficients exact; K4=G^-1, theta4=-H*G^-1
PARITY exact: x fixed, w reversed, T0 fixed; G even and theta odd
BL1 G eigenvalues 0.804225862 0.900504018 1.043444465 1.572475933; kinetic/theta residual 3.442e-15
BL2 G eigenvalues 0.722192414 0.854169880 1.091065142 1.773398140; kinetic/theta residual 3.713e-15
BL3 G eigenvalues 0.614928848 0.940205207 1.194682498 2.129144137; kinetic/theta residual 3.596e-15
MASSLESS POINT x1=1.948367183949463, x2=.3, x3=-.2; charge [0, -1, -1, 1]
  V=-0.036847302; gradient 0.020995566 0.007799881 -0.007385119
  positive-F unit normal 0.816439901 -0.416551548 0.399888353; first 0.010939342; second 0.004063759
LOOP checks: two physical zero fermions; gradient finite-difference 6.205e-13
A-FLAT origin V -0.073583670110; Hessian eigenvalues 0.030468402 0.030468402 0.030468402
CONTROLS: mutated product residual 1.414214; wrong central sign sends X to -X
S1 composition loss NOT FIRED; generic-product blanket revised by the cycle-selected G2 reduction.
S2 closed-form loss NOT FIRED; gravitational/no-force normalization not established by these arrays.
S3 no-charge-conjugation loss NOT FIRED: explicit compact implementer.
Q4: smooth C3, fourth normal derivative divergent; house locus not stationary.
A-flat unique global minimum proved by Holder; other stationary saddles UNDECIDED.
D1406 COMPLETE
