{ "parameter": "lambda = 2 + alpha", "alpha_star": "0.1646512224777764061796936438236800488543677059649695402", "lambda_star": "2.1646512224777764061796936438236800488543677059649695402", "F_at_minimum": "24.2137162258141480424097500086794120321491944470403522556", "rational_bracket": [ "0.1646512224777764061796936438236800488543", "0.1646512224777764061796936438236800488544" ], "endpoint_evaluations": [ { "alpha": "0.1646512224777764061796936438236800488543", "h_value": "-1.54431752485594072112936509943561487694793885658063E-40", "analytic_truncation_error_bound": "7.23160887832510331175172881192809522840367746384358806890183037810165926691309160410152654E-68" }, { "alpha": "0.1646512224777764061796936438236800488544", "h_value": "7.3660044972828283344797128351903020180949186558407E-41", "analytic_truncation_error_bound": "7.23160887832510331175172881192809522840322832919968187761938360037524149224961723347458212E-68" } ], "precision_digits": 90, "bernoulli_terms": 20, "shift_target": "100", "bisection_iterations": 200, "bisection_width": "6.22301527786114170714406405378E-61", "log_C_analytic_truncation_error_bound": "1.34096250625508835770351437445110862086587813234253844126051634138102986041248226041300318E-67", "arithmetic_status": "High-precision Decimal arithmetic with analytic truncation bounds; not directed-rounding interval arithmetic.", "mathematical_basis": "The critical equation is strictly increasing on (0,1), with endpoint values -1/2 and 5/6, so its zero is unique." }