s1254 — house checks of A1771: ψ, Γ, the obstruction, the lifts, the charge tensors, θ
  psi          {"max |ψ(x∘y) − ψx∘ψy|": 0.0, "ψ(1) − (f1+f2+f3)": 0.0, "CONTROL without the middle conjugation": 1.0}
  gamma        {"X in gauge span": "<1e-12", "exp(πX/2) − Γ56": "<1e-12", "lift(ψΓψ⁻¹) − Γ56": "<1e-12", "symplectic": "<1e-12", "Γ² − I": "<1e-12", "trace": 8.0, "+1 / −1 dims": [32, 24], "commutator norms": {"H": "<1e-12", "Z": "<1e-12", "O": "<1e-12", "S": 13.854220051, "K": 13.854220051, "C56": 9.634878814, "CP": 9.634878814, "cycle": 10.659402685}}
  obstruction  {"Γ-fixed dim": 15, "closed under ∘": "<1e-12", "Tr₂ inertia on it (+, −)": [15, 0], "N(q)": -1.0, "Tr₂(q,q)": -0.998737775413}
  lifts        {"Λ² residuals": {"O": "<1e-12", "C56": "<1e-12", "CP": "<1e-12"}, "squares": {"O·Ō + I (8)": "<1e-12", "CP·C̄P − I (8)": "<1e-12", "C·O + O·C̄ (8)": "<1e-12", "CP = C·O (8)": "<1e-12", "O·Ō + I (Λ³8)": "<1e-12", "CP·C̄P − I (Λ³8)": "<1e-12"}}
  charges      {"T8 weights integral to ½": "<1e-09", "weights on 8 (×2)": [["-2", "0", "0", "0"], ["0", "-2", "0", "0"], ["0", "0", "-2", "0"], ["0", "0", "0", "-2"], ["0", "0", "0", "2"], ["0", "0", "2", "0"], ["0", "2", "0", "0"], ["2", "0", "0", "0"]], "(max|Σn_in_jn_k|, max|Σn_i|) 8": [0.0, 0.0], "Λ³8": [0.0, 0.0], "weights48": [0.0, 0.0], "Λ³8 − weights48 == ± weights of 8": {"+": true, "−": true}}
  theta        {"vs filed s1248 eigenvalues (4 points)": "<1e-09", "vs lane theta4 / kinetic4 at s=0.8": "<1e-12", "τ(−s) + τ(s)⁻¹ (4 points)": "<1e-12", "2θ_01 at s=0.8": -0.3492709632, "Tr θ at s=0.8": 0.046891412374}
  receipt   PASS filed_d1411_appT_carrier_npz
  receipt   PASS filed_d1410_solder_npz
  receipt   PASS filed_d1409_generators_npz
  receipt   PASS filed_chatgpt_d1410_maps_npz
  receipt   PASS filed_chatgpt_d1411_maps_npz
  receipt   PASS s1248_results_are_the_filed_theta_on_the_D56_line
  receipt   PASS the_lane_program_is_the_filed_one
  computed  PASS L1_psi_is_an_exact_unital_Jordan_isomorphism_from_the_toolkit_to_the_solder_algebra_and_the_unconjugated_control_fails
  computed  PASS L2_Gamma56_is_exp_of_pi_half_times_rho_diag_jjj_minus_j_in_the_gauge_algebra_fixes_H_Z_O_and_moves_S_K_C56_CP_and_the_cycle
  computed  PASS L3_the_transported_Gamma_fixes_a_15_dim_trace_positive_subalgebra_and_the_clock_point_has_N_minus1_and_negative_trace_square
  argument  ARG  family_obstruction
  computed  PASS L4_O_and_CP_lift_to_the_fermion_8_and_Lambda3_8_with_semilinear_squares_minus1_and_plus1_and_C_anticommutes_with_O_projectively
  argument  ARG  the_squares_are_invariants
  computed  PASS L5_the_U1_cubed_and_U1_gravity_charge_tensors_vanish_on_8_Lambda3_8_and_the_lanes_48_and_48_is_Lambda3_8_minus_the_Goldstino_weights
  computed  PASS L6_the_line_theta_reproduces_s1248_and_the_lane_the_Maxwell_exchange_holds_and_the_printed_off_diagonal_and_trace_values_at_s_0p8
  symbolic  PASS L6s_trace_theta_is_8t3_over_1_plus_3t2
  symbolic  PASS L6s_offdiagonal_of_2theta_in_t
  argument  ARG  route_C_reading
  argument  ARG  scope
VERDICT A1771 house-checked: ψ is an exact unital Jordan isomorphism; App T's Γ is exp(π/2·ρ(diag(j,j,j,−j))) in the gauge algebra, fixes H, Z and O and moves the clock; the trace-form obstruction's inputs hold; O and CP lift to the fermions with semilinear squares −1 / +1; the perturbative charge tensors vanish; θ on the line reproduces s1248 and the Maxwell exchange holds. No route forces χ.
RESULT_HASH 8dbc7330200cb6f4
s1254: 6 computed, 2 symbolic, 7 receipt, 4 argument, 0 failed
