Formats: - HTML - YAML - JSON - 2026-08-16T18:42:52.153847
Query: /api/lfunc_lfunctions/?_offset=0
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{'A10': 1, 'A2': 1, 'A3': -1, 'A4': 1, 'A5': 1, 'A6': -1, 'A7': 3, 'A8': 1, 'A9': -2, 'Lhash': '680779457494506242', 'a10': [0.31622776601683794, 0], 'a2': [0.7071067811865475, 0], 'a3': [-0.5773502691896258, 0], 'a4': [0.5, 0], 'a5': [0.4472135954999579, 0], 'a6': [-0.4082482904638631, 0], 'a7': [1.1338934190276817, 0], 'a8': [0.35355339059327373, 0], 'a9': [-0.6666666666666666, 0], 'algebraic': True, 'analytic_conductor': 368.03050291608145, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [1, -1]], [5, [1, -1]], [11, [1, -1]], [419, [1, 1]]], 'bad_primes': [2, 5, 11, 419], 'central_character': '46090.1', 'coefficient_field': '1.1.1.1', 'conductor': 46090, 'conductor_radical': 46090, 'degree': 2, 'euler_factors': [[1, -1], [1, 1, 3], [1, -1], [1, -3, 7], [1, -1], [1, -1, 13], [1, 0, 17], [1, 2, 19], [1, -1, 23], [1, -5, 29], [1, -4, 31], [1, -3, 37], [1, 5, 41], [1, -4, 43], [1, -5, 47], [1, 8, 53], [1, 3, 59], [1, 0, 61], [1, -8, 67], [1, 0, 71], [1, 7, 73], [1, -3, 79], [1, -8, 83], [1, -6, 89], [1, -2, 97]], 'gamma_factors': [[], [0]], 'id': 7852380, 'index': 5, 'label': '2-46090-1.1-c1-0-5', 'leading_term': '4.27888953109', 'load_key': 'Cremona', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'EllipticCurve/Q/46090/n', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 7}, 'plot_values': [4.278889531090927, 3.60788642073847, 1.804780933102137, -0.3740286431305771, -1.708315901250325, -1.30384084127323, 0.4432079795850825, 1.871756296430883, 1.491593039367637, -0.3789100401802266, -1.685688328996296, -0.789933588983664, 1.482665550467641, 2.492281684515394, 0.7946355774575242, -1.990679128936596, -3.001621206923154, -1.5907560516411, 0.05107234850313135, -0.004072611947443064, -0.893474635451567, -0.6182878649013743, 0.6699996278505507, 0.9341698395680215, -0.2237275153937483, -0.6175818082764115, 0.7861033155194748, 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'4.486647544384212', '4.748776468552717', '5.371416281932374', '5.955995554976689', '6.382932503217888', '6.916249581998428', '7.733385535270783', '8.273345095116246', '8.697767649023274', '9.397240006446726', '10.12405684161092', '10.72526571855722', '11.06422244328071', '11.51160923942202', '12.13445969463762', '12.34909499003346', '13.19003692864052', '13.64036966179978', '14.19327550105202', '14.46189107865336', '14.97950562487852', '15.57168515782831', '16.08858796689633', '16.69726342548001', '17.20781577285820', '17.46399473747419', '17.89424616854376', '18.51492007560077', '19.08214347734467', '19.63859426050300'], 'prelabel': '2-46090-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 19.18412111398595, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 680779457494506242, 'z1': {'__RealLiteral__': 0, 'data': '0.7042049388330634', 'prec': 54}, 'z2': {'__RealLiteral__': 0, 'data': '1.442750307607615', 'prec': 54}, 'z3': {'__RealLiteral__': 0, 'data': '2.203340128065811', 'prec': 54}}