s1230 — which clock flip is a symmetry of the dynamics; the slice/ray isometry obstruction; Route-B number theory
receipts {'s1225': '3a34d719cd256201', 's1221': '223df3ac5e9efa17', 's1220': '516a5537c347cd72', 's121a': 'af01f1b96491c5ac', 'substrate': '43341215b5224b20'}
X-tensor action: {'I': '+X', 'J0': 'neither', 'J0^2': '-X', 'J0^3': 'neither', 'P': 'neither', 'J0P': '+X', 'J0^2P': 'neither', 'J0^3P': '-X'}
Fix(J0P) on the 70: +1 ×27, −1 ×43
triality (a, b, c) = {'a': 0.014094231093, 'b': 0.030873495517, 'c': 0.092177622638}
  receipt   PASS s1225_is_the_filed_evaluator_kernel_executed_head_only
  receipt   PASS s1220_is_the_filed_kernel_whose_construction_is_copied
  receipt   PASS s121a_is_the_file_whose_potential_is_copied
  computed  PASS the_two_generator_stacks_agree
  computed  PASS golden_vacuum_is_a_Minkowski_critical_point_as_s121a_says
  computed  PASS golden_vacuum_is_2lnphi_from_the_origin
  receipt   PASS s640_lib_is_the_S220_A_layer_executed_verbatim
  receipt   PASS s646_is_the_source_of_the_SV_vector_operator_executed_verbatim
  receipt   PASS s645c_results_hold_the_P6_gradient_reproduced_here
  computed  PASS the_S220_frame_is_this_kernels_frame
  computed  PASS Y1_structure_J0_P_J0P_and_the_dihedral_group
  computed  PASS Y1_coset_action_minus_I_trivial_and_J0_P_reverse_the_golden_ray
  computed  PASS Y2_stabiliser_of_the_embedding_tensor_in_D4_is_plus_minus_I_and_plus_minus_J0P
  argument  ARG  Y2_reading_category
  computed  PASS Y3_tree_potential_is_J0P_invariant_at_four_random_points
  computed  PASS Y3_control_tree_potential_is_NOT_J0_or_P_invariant
  computed  PASS Y3_one_loop_V1_is_J0P_invariant_at_two_random_points
  computed  PASS Y3_control_one_loop_V1_is_NOT_J0_or_P_invariant
  computed  PASS Y3_consistency_J0_and_P_give_the_same_V1_because_J0_equals_J0P_times_P
  computed  PASS Y4_golden_ray_fixed_and_D56_reversed_by_J0P
  computed  PASS Y4_J0_also_reverses_D56_but_is_not_a_symmetry
  computed  PASS Y4b_J0P_fixed_subalgebra_of_e7_is_63_dim_compact_36_noncompact_27_and_closes
  argument  ARG  Y4b_reading
  argument  ARG  Y4_reading
  computed  PASS Y5_J0P_is_an_antilinear_real_structure_square_plus_one_J0_is_linear_square_minus_one
  argument  ARG  Y5_reading
  computed  PASS Y6_golden_ray_generator_has_the_triality_spectrum_and_norm_ln_phi
  computed  PASS Y6_NO_ISOMETRY_carries_App_I_slice_line_onto_the_golden_ray_zero_multiplicity_20_vs_0
  argument  ARG  Y6_reading
  argument  ARG  Y7_look_elsewhere
  computed  PASS Y7_no_small_integer_golden_relation_among_the_triality_coordinates
  symbolic  PASS Y8a_the_minimum_rho_solves_x2_minus_gamma_x_minus_1
  symbolic  PASS Y8b_norm_rho_rho_conj_is_minus_1_a_unit_of_norm_minus_1
  symbolic  PASS Y8c_the_Galois_conjugate_is_minus_the_inverse
  symbolic  PASS Y8d_charge_F_equals_rho_minus_inverse_rho_equals_the_trace_gamma
  symbolic  PASS Y8e_stationary_at_s_star_equals_log_rho
  symbolic  PASS Y8f_radial_curvature_equals_the_discriminant
  symbolic  PASS Y8g_curvature_is_the_square_of_dF_ds_2cosh_s_star
  computed  PASS Y8h_companion_det_minus_1_square_det_plus_1_trace_3
  symbolic  PASS Y8i_phi_squared_is_the_root_of_the_square
  symbolic  PASS Y8j_phi_squared_solves_x2_minus_3x_plus_1
  computed  PASS Y8k_charge_length_decreases_with_the_discriminant_golden_is_the_longest_nonzero_integer_charge
  argument  ARG  Y8_reading

VERDICT dynamical subgroup of ⟨J0,P⟩ = {±I, ±J0P} (X-tensor: ['I', 'J0P', 'J0^2', 'J0^3P']); V1 J0P-invariant (1e-12, 2e-12), J0/P not; golden ray J0P-fixed, D56 J0P-odd; Fix(J0P) +1 ×27 / −1 ×43; Fix subalgebra (36 c, 27 nc); J0P antilinear, square +1; no isometry carries App I's slice onto the golden ray (zero multiplicity 20 vs 0); integer-relation min 2.7e-06; Route-B charge = trace, curvature = discriminant
RESULT_HASH 07d94eca0c612583
s1230: 21 computed, 9 symbolic, 6 receipt, 7 argument, 0 failed
