c1191 — Ω reciprocal-family adjudicator
family: J(r)=diag(r,1,r^-1), r>0
lambda_13(r) = (r**2 + 1)/(2*r)
lambda_13(r) - (r-1/2) = (-r**2 + r + 1)/(2*r)
unique positive equality point: 1/2 + sqrt(5)/2
at r=phi: lambda_13 = sqrt(5)/2 = Omega = sqrt(5)/2 = phi-1/2
control 1: r=2; difference=-1/4; equality=False
control 2: r=3/2; difference=1/12; equality=False
control 3: r=3/5 + sqrt(5)/2; difference=-61/445 + 11*sqrt(5)/356; equality=False
G1_generic_difference_nonzero: True
G2_equality_polynomial_is_golden_polynomial: True
G3_unique_positive_solution_is_phi: True
G4_golden_J13_value_is_omega: True
G5_golden_J13_value_is_phi_minus_half: True
G6_all_off_golden_controls_fail: True
G7_control_set_nonempty: True
V_all_gate_values_are_boolean: True
V_has_false_equality_control: True
V_generic_predicate_not_literal_true: True
V_semantic_hash_excludes_path: True
RULING: SPECIFIC_TO_THE_GOLDEN_RECIPROCAL_POINT; NOT_A_COMPLEX_RATIO_LADDER
SEMANTIC_SHA256: ef552053a9afe658d51f8c5b3f98691749fb1df107144ca7b7c9e13525505b91
RESULTS_FILE_SHA256: 17c35f4305ebe80b7bc17e86a1521754b71ce234c92241b3d251642c140ebf3a
