s1342 — the s1221 T_min is one member of a continuum; every member breaks V
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
  receipt   PASS   s1221_is_the_filed_kernel_whose_construction_lines_62_to_300_are_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   X1_every_start_reaches_the_minimum_d_and_f_odd_are_invariants_of_the_set   [9 starts: max |d − 0.89323| <2e-05 · max |f_odd − 0.46405| <2e-05 · max triple residual <1e-10]
  computed  PASS   X2_the_minimising_set_is_non_unique_so_the_s1221_T_min_value_is_a_member_choice   [min pairwise |Δa| > 1e-3 · |ΔV| spread over the 9 members > 1e-2]
  computed  PASS   X3_THE_INVARIANT_every_sampled_member_of_the_minimising_set_breaks_V   [min over the 9 sampled members of max |V(TMTᵀ) − V(M)| (s1221's 3 random points) > 5e-2 > 1e-3]
  computed  PASS   X4_T_normal_is_a_fixed_construction_and_reproduces_s1221   [|ΔV(T_n)| = 0.063 (s1221 printed 0.063)]
  argument  ARG    scope
  argument  ARG    reading

VERDICT s1221 T_min |ΔV| is a MEMBER CHOICE: 9 starts all reach d = 0.89323, |Φ_odd|/|Φ| = 0.46405 at pairwise-distinct members whose |ΔV| spreads by more than 1e-2; the invariant is that every sampled member breaks V (|ΔV| > 5e-2 > 1e-3). s1221 E2 stands as stated.
RESULT_HASH 2be6f8514ca78016
s1342: 12 computed/receipt PASS-able, 2 argument, 0 failed
