Formats: - HTML - YAML - JSON - 2026-04-02T11:18:21.760571
Query: /api/lfunc_lfunctions/?_offset=0
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{'A10': 0, 'A2': -1, 'A3': -1, 'A4': -1, 'A5': 0, 'A6': 1, 'A7': 4, 'A8': 3, 'A9': 1, 'Lhash': '489094476673008000', 'a10': [0.0, 0], 'a2': [-0.7071067811865475, 0], 'a3': [-0.5773502691896258, 0], 'a4': [-0.5, 0], 'a5': [0.0, 0], 'a6': [0.4082482904638631, 0], 'a7': [1.5118578920369088, 0], 'a8': [1.0606601717798212, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 2810.5345251440176, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 1]], [5, [1]], [13, [1, 1]], [19, [1]]], 'bad_primes': [3, 5, 13, 19], 'central_character': '351975.1', 'coefficient_field': '1.1.1.1', 'conductor': 351975, 'conductor_radical': 3705, 'degree': 2, 'euler_factors': [[1, 1, 2], [1, 1], [1], [1, -4, 7], [1, 0, 11], [1, 1], [1, 2, 17], [1], [1, -8, 23], [1, 2, 29], [1, 8, 31], [1, -2, 37], [1, -2, 41], [1, 0, 43], [1, 0, 47], [1, -6, 53], [1, -4, 59], [1, -14, 61], [1, 12, 67], [1, -8, 71], [1, 10, 73], [1, -8, 79], [1, 12, 83], [1, 14, 89], [1, -6, 97]], 'gamma_factors': [[], [0]], 'id': 9190268, 'index': 13, 'label': '2-351975-1.1-c1-0-13', 'leading_term': '1.43454350572', 'load_key': 'Cremona', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'EllipticCurve/Q/351975/k', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [1.434543505719485, 0.8765950547547129, -0.2531872644896185, -0.7275345618928148, 0.06195407821830175, 1.005637327911331, 0.4834963686235181, -0.8872708961714193, -0.3101596489310232, 2.821457711926825, 4.269844319303332, -0.0464907616808503, -6.951687721946435, -8.502879333214128, -2.794438098221255, 2.87956376632229, 2.55585555057112, -0.304200309783111, -0.0256857187229872, 1.828433442698103, 1.16560251586669, -0.02504444640856702, 1.452833299295374, 1.685804495476732, -3.552641882897454, -8.66813852482377, -6.277672282881156, 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'3.600244713515857', '4.212644936254966', '4.503299661855260', '5.209898145457333', '5.272378469718963', '5.858191019346004', '6.768102763632253', '7.108753669421335', '7.570647617237754', '7.921564392582483', '8.560977929225079', '8.987501565328280', '9.103314941262274', '9.965738573540772', '10.20273912696152', '10.83781656949490', '11.21933871274407', '11.33851732634986', '11.92111966414364', '12.68167155042166', '12.90604628419700', '13.33265354276312', '13.89298080064750', '14.42782793785971', '14.68252919400401', '15.11610434208301', '15.58437526918307', '16.29742022826664', '16.59861372828840', '17.04913824637028', '17.34473356811517', '17.75229801603940', '18.10421880222966', '18.44103360322365', '18.78320473662250', '19.40396749766279', '19.66738612125013'], 'prelabel': '2-351975-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 53.01447467573377, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 489094476673008000, 'z1': {'__RealLiteral__': 0, 'data': '0.4414483886908678', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '0.9868369260495720', 'prec': 60}, 'z3': {'__RealLiteral__': 0, 'data': '1.583070373581507', 'prec': 57}}