-
lfunc_lfunctions • Show schema
Hide schema
{'A10': 0, 'A2': 0, 'A3': 2, 'A4': 0, 'A5': -2, 'A6': 0, 'A7': 0, 'A8': 0, 'A9': 1, 'Lhash': '592933918228943817', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [1.1547005383792517, 0], 'a4': [0.0, 0], 'a5': [-0.8944271909999159, 0], 'a6': [0.0, 0], 'a7': [0.0, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 757.4928537346746, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [7, [1]], [11, [1]]], 'bad_primes': [2, 7, 11], 'central_character': '94864.1', 'coefficient_field': '1.1.1.1', 'conductor': 94864, 'conductor_radical': 154, 'degree': 2, 'euler_factors': [[1], [1, -2, 3], [1, 2, 5], [1], [1], [1, 0, 13], [1, -4, 17], [1, 4, 19], [1, -4, 23], [1, 2, 29], [1, 2, 31], [1, 6, 37], [1, -4, 41], [1, 4, 43], [1, -2, 47], [1, -2, 53], [1, 6, 59], [1, -4, 61], [1, 0, 67], [1, -12, 71], [1, -16, 73], [1, 8, 79], [1, -12, 83], [1, 10, 89], [1, -2, 97]], 'gamma_factors': [[], [0]], 'index': 68, 'label': '2-308e2-1.1-c1-0-68', 'leading_term': '8.02784569195', '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/94864/cv', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [0.0, 1.804347111466833, 2.456621499447375, 1.287972953730103, -1.154497816133386, -3.069231115539717, -2.817848822825649, -0.7074628187990813, 1.045252534139868, 0.6645712412362943, -1.064302203768466, -1.766039616481006, -0.6050098128159866, 0.6500905012028902, 0.3808884304141313, -0.2579911271842742, 0.8021375611071108, 2.659441414273277, 2.078548655901528, -1.236687781109206, -2.94070594242233, -0.0393102441583382, 3.762230949462143, 2.619691481534235, -2.599653152197826, -4.924264963525392, -1.360273047590582, 2.882234161625417, 2.603592729512865, -0.03220353432596332, -0.3620133977069208, 1.028804320178427, 0.803658619238284, -0.3807060042957462, 0.1679701954496468, 1.14235476429474, -0.1926365079127607, -1.728384894021616, -0.0657674964351637, 1.961591661744089, -0.4177142110601836, -4.268422220191983, -3.097635633836508, 1.203270618763201, 1.304241761848955, -2.114786913488045, -1.813798193466671, 2.010869613208669, 2.125977313395622, -1.699561705527391, -2.555917000388549, -0.1171357323169331, -0.7193627341754332, -4.11944290958508, -4.007344738874174, -0.7388448422315358, -0.08549879392501686, -1.512321820891002, -0.5366494417577803, 1.259269549010525, 0.4612056939146788, -0.298956649843631, 0.8276811570081152, -0.4839944186737223, -4.44409192703753, -4.044496103644063, 0.7685146020564702, 1.603400793383909, -1.0741169157288, 1.811252305093577, 8.122931298615214, 6.578673870798644, -1.218729993030213, -3.280901096064805, 0.8001719753172526, 1.987907770036819, -0.000525940620612597, 0.04950229545655792, 0.5693189280353375, -0.6253114294620332, -0.1100599871338844, 1.900608726861933, 0.9326301930128807, -0.8516956846604211, 0.516282665143875, 0.557168170151435, -2.838385301280179, -1.61610380766802, 5.049305011615325, 5.605626506828853, -1.244401226915375, -3.59411593324033, -0.2077387690042394, -0.05995495994032758, -1.364042983067905, 2.078358217739805, 4.51497160382414, 1.091823911355899, -0.6528436305247718, 2.273277715447046, 2.513920458333461, -0.1584521801806598, 0.3083779840799855, 1.519770804102385, -0.02139284745985144, 0.2266510473734356, 2.489632385106237, 0.9667721329973124, -1.627752634350983, -0.1238894001547612, 0.6325037833578352, -1.072770643680432, 1.901073326201297, 6.337873436211321, 2.615904572374167, -1.923250018263851, 3.458342575390605, 8.852476102446316, 4.200222079796638, -0.6354870310344672, 0.9382444856600655], 'positive_zeros': ['0.8880900962247709', '1.828288191242938', '2.350743518978191', '3.096090105220413', '3.608037853792509', '3.870498290133543', '4.663798682972945', '5.252193959379295', '5.880555951788639', '6.565866316572581', '7.245921362874297', '7.567110316256759', '8.148176061245014', '8.468042845662634', '8.978019663677440', '9.505719804130768', '9.975348728288969', '10.67080237783698', '11.09647509014473', '11.61845016325461', '12.14163839832157', '12.76755855046113', '12.92249150748811', '13.84537739271090', '13.98074875236477', '14.55874111830124', '15.07823773923211', '15.33242502821064', '15.71242443206222', '16.45667401883522', '16.88319034577100', '17.16729712716067', '17.95696636356533', '18.45177817392767', '18.99990743675626', '19.23834857429161', '19.63106463154270'], 'prelabel': '2-308e2-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 27.522588063891714, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 592933918228943817, 'z1': {'__RealLiteral__': 0, 'data': '0.8880900962247709', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '1.828288191242938', 'prec': 57}, 'z3': {'__RealLiteral__': 0, 'data': '2.350743518978191', 'prec': 57}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 757.4928537346746, 'bad_primes': [2, 7, 11], 'central_character': '1.1', 'conductor': 94864, 'conductor_radical': 154, 'degree': 2, 'dirichlet_coefficients': [1, 0, 2, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 4, 0, -4, 0, 0, 0, 4, 0, -1, 0, -4, 0, -2, 0, -2, 0, 0, 0, 0, 0, -6, 0, 0, 0, 4, 0, -4, 0, -2, 0, 2, 0, 0, 0, 8, 0, 2, 0, 0, 0, -8, 0, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 12, 0, 16, 0, -2, 0, 0, 0, -8, 0, -11, 0, 12, 0, -8, 0, -4, 0, -10, 0, 0, 0, -4, 0, 8, 0, 2, 0, 0, 0], 'euler11': [1, 0, 0], 'euler13': [1, 0, 13], 'euler17': [1, -4, 17], 'euler19': [1, 4, 19], 'euler2': [1, 0, 0], 'euler23': [1, -4, 23], 'euler29': [1, 2, 29], 'euler3': [1, -2, 3], 'euler31': [1, 2, 31], 'euler37': [1, 6, 37], 'euler41': [1, -4, 41], 'euler43': [1, 4, 43], 'euler47': [1, -2, 47], 'euler5': [1, 2, 5], 'euler53': [1, -2, 53], 'euler59': [1, 6, 59], 'euler61': [1, -4, 61], 'euler67': [1, 0, 67], 'euler7': [1, 0, 0], 'euler71': [1, -12, 71], 'euler73': [1, -16, 73], 'euler79': [1, 8, 79], 'euler83': [1, -12, 83], 'euler89': [1, 10, 89], 'euler97': [1, -2, 97], 'euler_factors': [[1, 0, 0], [1, -2, 3], [1, 2, 5], [1, 0, 0], [1, 0, 0], [1, 0, 13], [1, -4, 17], [1, 4, 19], [1, -4, 23], [1, 2, 29], [1, 2, 31], [1, 6, 37], [1, -4, 41], [1, 4, 43], [1, -2, 47], [1, -2, 53], [1, 6, 59], [1, -4, 61], [1, 0, 67], [1, -12, 71], [1, -16, 73], [1, 8, 79], [1, -12, 83], [1, 10, 89], [1, -2, 97]], 'index': 68, 'instance_types': ['ECQ'], 'instance_urls': ['EllipticCurve/Q/94864/cv'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': True, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-308e2-1.1-c1-0-68', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-308e2-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 27.522588063891714, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 592933918228943817, 'z1': {'__RealLiteral__': 0, 'data': '0.8880900962247709', 'prec': 60}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '592933918228943817', 'Lhash_array': ['592933918228943817'], 'label': '2-308e2-1.1-c1-0-68', 'type': 'ECQ', 'url': 'EllipticCurve/Q/94864/cv'}