s1221 — the Φ_odd selection census, gauge-covariant
receipts {'s1220': '516a5537c347cd72', 's121a': 'af01f1b96491c5ac', 's121c': '10aadc2677b404f5', 'substrate': '43341215b5224b20'}
  receipt   PASS   s1220_is_the_filed_kernel_whose_construction_is_copied
  receipt   PASS   s121a_is_the_file_whose_potential_and_gauge_formula_are_copied
  receipt   PASS   s121c_is_the_file_whose_A1_norm_is_copied
  computed  PASS   the_two_generator_stacks_agree   [s121a np.stack(ph.G) vs s1217 np.stack(sub.G), all 133×56×56]
  computed  PASS   golden_vacuum_is_a_Minkowski_critical_point_as_s121a_says   [V(c*) <1e-12, |∇V(c*)| <1e-09 (s121a base: −1.35e−15 / 2.83e−11)]
  computed  PASS   golden_vacuum_is_2lnphi_from_the_origin   [d(o, φ*) = 0.962424 vs 2 ln φ = 0.962424]
  computed  PASS   A_the_line_is_s1220s_split   [min_𝒯 d(φ*, T·φ*) = 0.89323, |Φ_odd|/|Φ| = 0.46405 (s1220: 0.89323 / 0.46405); triple residual <1e-10]
  computed  PASS   A_S70_is_orthonormal_so_Hessian_eigenvalues_are_masses   [|tr(S_a S_b) − δ_ab| <1e-12; S70 symmetric; frame S = −ΩJ0 = I (|S − I| <1e-12)]
  computed  PASS   A_analytic_gradient_matches_finite_differences   [relative |∇_an − ∇_fd| <1e-06 at a generic off-line point (|∇| 0.044)]
  computed  PASS   S1_E1_L_is_a_line_of_Minkowski_critical_points   [max |V| <1e-14, max |∇V| <1e-14 over u ∈ {−1, 0, 0.5, 1, 2}]
  computed  PASS   S2_E2_Theta_stabiliser_in_e7_is_exactly_the_gauge_algebra   [dim 𝔤 = 28; dim Stab_e7(Θ) = 28; joint rank 28; gauge generators move X by <1e-10; next Gram eigenvalue / max = 0.0381]
  computed  PASS   S2_E2_the_live_T_are_not_symmetries_of_V_and_gauge_elements_are   [max |V(gMgᵀ) − V(M)| over 3 random points: gauge <1e-12 · T_min 0.107 · T_n 0.063]
  computed  PASS   S3_E3_gauge_orbit_rank_24_compact_16_plus_noncompact_8   [𝔤 = 16 compact + 12 noncompact; orbit rank at φ* 24 (compact-only 16), at m 24 (compact-only 16)]
  computed  PASS   S3_E3_null_is_24_gauge_plus_6_physical_with_9_light_doublets   [φ*: null 30 (orbit ⊂ null to <1e-06), light 18 in doublets, massive 22, negative 0; m: null 30, light 18, massive 22 (reproduces s605 24 Goldstones; s647 6 strict + 24, 30 zeros)]
  computed  PASS   S3_E3_s121a_gauge_dirs_formula_is_the_compact_only_undercount   [s121a gauge_dirs_at (E(t − tᵀ)E⁻¹) rank 16 = the compact-only orbit rank 16; its saved split Qg 16 + PHYS 18]
  computed  PASS   S3_E3_eight_of_s121a_18_physical_moduli_are_gauge   [principal cosines of s121a PHYS (18) against the true 24-dim orbit at φ*: 8 above 0.999]
  computed  PASS   S3b_E4_Phi_odd_is_mostly_gauge_and_s1220_D5_measured_against_the_undercount   [|P_gauge Φ̂_odd| = 0.91689 at φ* (physical part 0.399), 0.95399 at m (physical part 0.300); against s121a Qg(16): <1e-05 (s1220 D5 read 0)]
  computed  PASS   S3b_E4_the_golden_ray_is_also_largely_gauge   [|P_gauge ĉ*| = 0.74383 at φ* (s121a: overlap 2e-15 against its 16-dim basis)]
  computed  PASS   S4_E5_compact_gauge_lies_in_the_Levi_the_boosts_do_not   [max |[K, D56]| over the 16 compact gauge generators <1e-10; min |[N, D56]| over the 12 noncompact 4.000 ⇒ compact conjugation stays inside 𝒯 (s1220 equivariance): with the boosts off the minimum is s1220's 0.89323]
  computed  PASS   S4_E5_golden_vacuum_is_T_fixed_up_to_a_gauge_boost   [min_(g,T) d(gφ*, T·gφ*) <1e-11; compensator |kkᵀ − I| <1e-10, |k² + I| <1e-10; class (6, 2) sign +1 (origin (6, 2) +1); boost part |b_nc| > 0.05: True; with the boost removed d > 0.05]
  computed  PASS   S4_E5_the_condition_is_vacuous_a_random_point_passes_too   [random point (seed 101, |c| = ln φ): min d <1e-11, class (6, 2) sign +1; with the boost removed d > 0.05]
  computed  PASS   S4b_E6_phi_star_and_m_are_much_closer_modulo_gauge   [min_g d(g·φ*, m) ≤ 0.060 (LM, one start: an upper bound) against the gauge-fixed d(φ*, m) = 0.44661]
  computed  PASS   S5_E7_every_registered_proxy_is_stationary_at_one_interior_point_neither_m_nor_golden   [u* (quartic fit on u = [0.0, 0.1, 0.2, 0.3, 0.5, 1.0]): {'F2': [0.21], 'F4': [0.21], 'FCW': [0.21], 'A1sq': [0.21], 'STr4_s121a': [0.21]}; kinds F2/F4/|A1|²/FCW ('min', 'min', 'min', 'max'); |slope| at u = 0 and 1 all > 1e-4]
  argument  ARG    S6_precision_fence_on_A1sq
  argument  ARG    S7_AX1_selects_phi_star_by_definition
  argument  ARG    reading

VERDICT Φ_odd SELECTION CENSUS: the question dissolves as posed. Φ_odd is 92 % gauge by norm at φ* (true orbit rank 24; s121a/s1220 used a 16-dim undercount); φ* and m are ≤ 0.07 apart modulo gauge. SM-1d T-fixedness is vacuous up to gauge (golden and a random point are T-fixed after a gauge boost, class (6,2)); the missing object is a rule fixing the gauge frame of D56 relative to the vacuum. Along L no registered datum selects m or φ*; every one-loop proxy is stationary at u* ≈ 0.21.
RESULT_HASH a24cb813b1b87c80
s1221: 23 computed/receipt PASS-able, 3 argument, 0 failed
