Formats: - HTML - YAML - JSON - 2026-09-20T18:24:11.915026
Query: /api/lfunc_lfunctions/?_offset=0
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{'A10': 0, 'A2': 0, 'A3': 1, 'A4': -2, 'A5': 0, 'A6': 0, 'A7': 1, 'A8': 0, 'A9': 1, 'Lhash': '2155240008598704178', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [0.5773502691896258, 0], 'a4': [-1.0, 0], 'a5': [0.0, 0], 'a6': [0.0, 0], 'a7': [0.3779644730092272, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 1922.9973066774858, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [1, -1]], [5, [1]], [13, [1]], [19, [1, -1]]], 'bad_primes': [3, 5, 13, 19], 'central_character': '240825.1', 'coefficient_field': '1.1.1.1', 'conductor': 240825, 'conductor_radical': 3705, 'degree': 2, 'euler_factors': [[1, 0, 2], [1, -1], [1], [1, -1, 7], [1, -1, 11], [1], [1, -3, 17], [1, -1], [1, -5, 23], [1, 2, 29], [1, 2, 31], [1, 7, 37], [1, -5, 41], [1, 6, 43], [1, -4, 47], [1, 1, 53], [1, -4, 59], [1, -1, 61], [1, -16, 67], [1, -1, 71], [1, 6, 73], [1, -13, 79], [1, -6, 83], [1, 9, 89], [1, 1, 97]], 'gamma_factors': [[], [0]], 'id': 8711157, 'index': 25, 'label': '2-240825-1.1-c1-0-25', 'leading_term': '2.92165652033', 'load_key': 'Cremona', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'EllipticCurve/Q/240825/bl', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 7}, 'plot_values': [2.921656520326564, 2.044743807417177, 0.04914365643350456, -1.424044067401254, -0.9797543047736845, 0.7789764594722877, 1.403512404799029, -0.4790076227234397, -2.831575733953985, -2.337359180980024, 0.978883307053757, 3.254955679522352, 2.007613519869073, -0.3333357088040709, -0.3619184374921465, 0.8785125668513026, 0.06728931974830216, -2.145324274472139, -2.026846185460203, 0.3117633925482039, 0.8152663212640007, -0.7418213385772938, 0.1877674181019364, 3.777211432804864, 3.67974211122789, -1.869634221263741, -5.304649468752913, -1.865094086092659, 2.255283567903569, 0.9419613991483387, -1.712736230127823, -0.3510219151170898, 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'5.483694060424407', '6.175570620388284', '6.838079683372196', '7.319154380736653', '7.780140545280564', '8.404459974064436', '8.534394734879220', '9.232826022591759', '9.541130161188034', '9.904102436446778', '10.57397242321670', '10.93474894209518', '11.53085010503766', '12.11915874226360', '12.46108075320747', '13.07263404563425', '13.24444343867722', '13.93758019708421', '14.20978985323662', '14.56365346592540', '15.02522829284954', '15.38627317146396', '16.05966979026711', '16.45420441989438', '17.10160916344253', '17.23553200152969', '17.81455188167295', '18.26388849113040', '18.63730605600145', '19.06888264529572', '19.38130829195214', '19.80595795132024'], 'prelabel': '2-240825-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 43.851993189335026, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 2155240008598704178, 'z1': {'__RealLiteral__': 0, 'data': '0.5060113864412147', 'prec': 54}, 'z2': {'__RealLiteral__': 0, 'data': '1.142289774931878', 'prec': 54}, 'z3': {'__RealLiteral__': 0, 'data': '1.704673805350137', 'prec': 54}}