Formats: - HTML - YAML - JSON - 2026-06-18T01:57:11.991522
Query: /api/lfunc_lfunctions/?_offset=0
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{'A10': 0, 'A2': 0, 'A3': -1, 'A4': 0, 'A5': -1, 'A6': 0, 'A7': 2, 'A8': 0, 'A9': 1, 'Lhash': '2228698553934932188', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [-0.5773502691896258, 0], 'a4': [0.0, 0], 'a5': [-0.4472135954999579, 0], 'a6': [0.0, 0], 'a7': [0.7559289460184544, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 161.9366152991567, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 1]], [5, [1, 1]], [13, [1]]], 'bad_primes': [2, 3, 5, 13], 'central_character': '20280.1', 'coefficient_field': '1.1.1.1', 'conductor': 20280, 'conductor_radical': 390, 'degree': 2, 'euler_factors': [[1], [1, 1], [1, 1], [1, -2, 7], [1, 0, 11], [1], [1, -6, 17], [1, -2, 19], [1, 0, 23], [1, -2, 29], [1, -6, 31], [1, 0, 37], [1, 6, 41], [1, 4, 43], [1, 12, 47], [1, 14, 53], [1, 4, 59], [1, 6, 61], [1, -2, 67], [1, -8, 71], [1, -8, 73], [1, 16, 79], [1, 4, 83], [1, 18, 89], [1, -8, 97]], 'gamma_factors': [[], [0]], 'id': 7737822, 'index': 26, 'label': '2-20280-1.1-c1-0-26', 'leading_term': '4.60636383564', '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': 1, 'origin': 'EllipticCurve/Q/20280/h', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [0.0, 1.083510513720015, 1.751159831048028, 1.638821272757945, 0.7226610204172269, -0.3982942611130488, -0.689016713748078, 0.5528100081979086, 2.88225951125699, 4.713246389586523, 4.484663120196902, 2.163360701423647, -0.4179988461339628, -1.065083691072945, 0.6418016966442716, 2.797861225648693, 3.065238596976059, 1.16965282429099, -0.8234525812542246, -0.957017332862021, 0.2536610505803528, 0.5321423314073329, -1.087384417585559, -2.771326555798701, -2.19291904015185, 0.1817152401202284, 1.370891557676289, -0.2514809150619485, -2.601374514146009, -2.544611764581212, -0.1724235160176003, 1.372972290929223, 0.5415552234488435, -0.1877711953580631, 1.990257772894566, 5.497795148092277, 5.924196388471662, 2.212525093420469, -1.459042629708498, -1.270384170446805, 1.094023219787942, 1.309461896757085, -1.080059287224036, -2.360830940032765, -0.6965547795452063, 1.210983366969808, 0.862081387570429, -0.03874447850344534, 0.9658517021107386, 2.323586915976917, 1.082199973556197, -1.255190941608467, -0.2663046196511837, 3.94802837892508, 5.899292970570461, 2.930448671614932, -0.5253489181548092, -0.006744932647222656, 1.991881589599868, 0.6961321147974249, -2.637403674694796, -2.984083429714693, -0.3136337893430123, 0.4855836166709374, -1.750948942330657, -2.629787582617213, -0.2565554133200327, 1.48289715252606, 0.2217783250507581, -0.6236412543178301, 1.465970412265947, 3.091383699797715, 1.227107238462106, -0.9442346776685938, 0.0123920775948571, 1.108768724070761, -1.345403840417116, -4.03598634459707, -2.173522883581241, 1.242302901530284, 0.1301466711289239, -3.776651456442442, -3.86442396994682, -0.2753120362952029, 1.048262162848311, -0.3994313571997093, 0.4582080135440063, 3.60499711136911, 3.474588642434266, -0.3280486913615464, -2.008033857352365, -0.2149809219136092, 0.2644423891378377, -1.627072970078743, -1.721210290489244, 0.1654870982842161, -0.2180978354340536, -2.215412286290337, -1.081009328604924, 1.728631592702112, 0.4101978405786018, -3.246367144227286, -2.036875417028874, 2.767715557191927, 2.793569389937587, -2.206101288449431, -4.005727010290818, -0.8700484131642782, 0.7101266423382357, -0.8556550214945298, -0.7814719331955937, 1.036944292791145, 0.4257042322986437, -1.172459421323702, 0.3918444070757225, 2.237418961499973, -0.2918618495960104, -3.378181132310048, -1.619894346247862, 1.213663918908509, -0.151129289548923], 'positive_zeros': ['1.152500044214598', '1.671990863236211', '2.949993080634110', '3.429412446488659', '4.377714626912684', '4.947796894655668', '5.360059737245222', '6.230764730530877', '6.725221856422907', '7.517330012625405', '8.104960711675817', '8.302361377854253', '9.377197976995821', '9.881379902138004', '10.39840915821479', '11.07192168586658', '11.71270144408514', '11.80504629579796', '12.60166329155052', '13.01962828360907', '13.94114383765435', '14.25076221853170', '14.80195688817467', '15.53326713849958', '15.82363767765882', '16.52244020178161', '17.03019734279157', '17.35726829490717', '18.10907351713217', '18.49842312920202', '18.90093811223448', '19.63820493679815'], 'prelabel': '2-20280-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 12.725431831539419, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 2228698553934932188, 'z1': {'__RealLiteral__': 0, 'data': '1.152500044214598', 'prec': 57}, 'z2': {'__RealLiteral__': 0, 'data': '1.671990863236211', 'prec': 57}, 'z3': {'__RealLiteral__': 0, 'data': '2.949993080634110', 'prec': 57}}