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              lfunc_lfunctions •   Show schema
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{'A10': 0, 'A2': -1, 'A3': 0, 'A4': 1, 'A5': 0, 'A6': 0, 'A7': -2, 'A8': -1, 'A9': 0, 'Lhash': '2063756903256966657', 'a10': [0.0, 0], 'a2': [-0.7071067811865475, 0], 'a3': [0.0, 0], 'a4': [0.5, 0], 'a5': [0.0, 0], 'a6': [0.0, 0], 'a7': [-0.7559289460184544, 0], 'a8': [-0.35355339059327373, 0], 'a9': [0.0, 0], 'algebraic': True, 'analytic_conductor': 373.8436121832307, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 1]], [3, [1]], [17, [1]]], 'bad_primes': [2, 3, 17], 'central_character': '46818.1', 'coefficient_field': '1.1.1.1', 'conductor': 46818, 'conductor_radical': 102, 'degree': 2, 'euler_factors': [[1, 1], [1], [1, 0, 5], [1, 2, 7], [1, 3, 11], [1, -2, 13], [1], [1, 1, 19], [1, 6, 23], [1, -6, 29], [1, -4, 31], [1, -4, 37], [1, -9, 41], [1, 1, 43], [1, -6, 47], [1, 12, 53], [1, 3, 59], [1, 8, 61], [1, -5, 67], [1, 12, 71], [1, 11, 73], [1, -4, 79], [1, 12, 83], [1, 6, 89], [1, 5, 97]], 'gamma_factors': [[], [0]], 'index': 0, 'label': '2-46818-1.1-c1-0-0', 'leading_term': '0.679264126815', '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/46818/d', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [0.6792641268154985, 0.2929376678745263, -0.6606057489208285, -1.54677517217444, -1.530699114624058, -0.2746684306048232, 1.455468568732049, 2.169239010414885, 1.062189210064702, -0.8795695700621087, -1.623232078603266, -0.3670044191229427, 1.167983067758706, 0.4735318113542207, -2.483027478560765, -4.573605487494863, -3.051558188515698, 0.5769624040382936, 1.693244245452364, -1.828638929295575, -6.497089831566501, -7.171537114127027, -3.425474432126057, 0.1873867183158643, 0.4239022907380233, -0.6219610835449512, 0.6033723334322294, 3.373090653432299, 3.88720699146328, 1.408462418735999, -0.5053131211226254, 0.3568408361060102, 1.587217868918036, 0.5956986394280939, -0.8530751925865137, 0.179533070223634, 2.422034359419387, 2.351209410862649, 0.2209933261346364, -0.5309868271711625, 0.5167122348858524, 0.2934296423114155, -1.540638053818806, -1.515762377965266, 0.8667529599766512, 1.221655865761751, -1.95553318179177, -3.700821876280624, -0.9668991555139284, 1.530416172147088, -0.5095866657493618, -2.964484406190515, -0.7170868974473895, 2.492563302514583, 0.5865021461340165, -3.212022378721299, -1.744439402461415, 2.561701574753868, 1.217023391337855, -5.198135051973044, -7.60673211365645, -3.620447087441937, -0.07871881242477438, -0.1636925630407998, 0.06551756601680417, 1.561810606516134, 0.5058348800275367, -2.386942510139314, -2.004936309019182, 1.129412542754982, 1.655669216711071, -0.2940825076359916, -0.1607256582876198, 1.34349638204044, 0.283598436936937, -1.590872091533454, -0.4675907839812407, 1.23880889686262, 0.1983538686068435, -0.3606470916247118, 2.058666151225927, 2.748354095021321, -0.5220290584426143, -1.869975069966514, 0.6884305818810577, 0.5423928398509497, -3.365741575945697, -3.224123375476242, 1.15349583501602, 0.3788033859934033, -5.596394593948976, -6.218551425804014, -0.6381860766034463, 1.392193099064165, -0.7662922736597614, 0.6728670199647004, 3.799777268413243, 0.8578900287549186, -4.519245508781932, -3.866546221890002, -0.2376374617802141, -0.5490527647307826, -1.987861693874289, -0.3552205946747947, 0.8603650076851039, -0.06903867058160364, 0.8491824693302412, 2.758943256917823, 1.038077374281856, -1.428954334121944, 0.3246497205902476, 2.356754542133409, 0.3900534664292489, -1.172261287243725, 0.1642776644486699, -0.1519086986564405, -2.01694934259171, -0.9176330960679744, 0.130606739884336, -2.962225712191548, -4.178541013737233], 'positive_zeros': ['0.3375450431280792', '1.289169597417051', '2.133515876796682', '2.798953541594166', '3.299699963503747', '4.206960228469411', '4.651502114427737', '5.728602642230088', '6.083713463301551', '6.433646163438994', '7.392323166008183', '7.695078198205187', '8.329856881383806', '8.729485225914504', '9.530041589216609', '9.886643593573281', '10.29549447880491', '10.91239520626110', '11.36466896073644', '12.06550960858942', '12.46283556215005', '13.04356674731858', '13.53356917897655', '14.09225095432645', '14.55340177535192', '15.51516740690836', '15.69376294777474', '15.98742300318764', '16.54298198901277', '17.15661066590003', '17.70621810558593', '18.02457842251232', '18.53002024178420', '19.05006889411779', '19.52957315111798', '19.80616181597683'], 'prelabel': '2-46818-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 19.335035872302658, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 2063756903256966657, 'z1': {'__RealLiteral__': 0, 'data': '0.3375450431280792', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '1.289169597417051', 'prec': 57}, 'z3': {'__RealLiteral__': 0, 'data': '2.133515876796682', 'prec': 57}}
           
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              lfunc_search •   Show schema
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{'algebraic': True, 'analytic_conductor': 373.8436121832307, 'bad_primes': [2, 3, 17], 'central_character': '1.1', 'conductor': 46818, 'conductor_radical': 102, 'degree': 2, 'dirichlet_coefficients': [1, -1, 0, 1, 0, 0, -2, -1, 0, 0, -3, 0, 2, 2, 0, 1, 0, 0, -1, 0, 0, 3, -6, 0, -5, -2, 0, -2, 6, 0, 4, -1, 0, 0, 0, 0, 4, 1, 0, 0, 9, 0, -1, -3, 0, 6, 6, 0, -3, 5, 0, 2, -12, 0, 0, 2, 0, -6, -3, 0, -8, -4, 0, 1, 0, 0, 5, 0, 0, 0, -12, 0, -11, -4, 0, -1, 6, 0, 4, 0, 0, -9, -12, 0, 0, 1, 0, 3, -6, 0, -4, -6, 0, -6, 0, 0, -5, 3, 0, -5], 'euler11': [1, 3, 11], 'euler13': [1, -2, 13], 'euler17': [1, 0, 0], 'euler19': [1, 1, 19], 'euler2': [1, 1, 0], 'euler23': [1, 6, 23], 'euler29': [1, -6, 29], 'euler3': [1, 0, 0], 'euler31': [1, -4, 31], 'euler37': [1, -4, 37], 'euler41': [1, -9, 41], 'euler43': [1, 1, 43], 'euler47': [1, -6, 47], 'euler5': [1, 0, 5], 'euler53': [1, 12, 53], 'euler59': [1, 3, 59], 'euler61': [1, 8, 61], 'euler67': [1, -5, 67], 'euler7': [1, 2, 7], 'euler71': [1, 12, 71], 'euler73': [1, 11, 73], 'euler79': [1, -4, 79], 'euler83': [1, 12, 83], 'euler89': [1, 6, 89], 'euler97': [1, 5, 97], 'euler_factors': [[1, 1, 0], [1, 0, 0], [1, 0, 5], [1, 2, 7], [1, 3, 11], [1, -2, 13], [1, 0, 0], [1, 1, 19], [1, 6, 23], [1, -6, 29], [1, -4, 31], [1, -4, 37], [1, -9, 41], [1, 1, 43], [1, -6, 47], [1, 12, 53], [1, 3, 59], [1, 8, 61], [1, -5, 67], [1, 12, 71], [1, 11, 73], [1, -4, 79], [1, 12, 83], [1, 6, 89], [1, 5, 97]], 'index': 0, 'instance_types': ['ECQ'], 'instance_urls': ['EllipticCurve/Q/46818/d'], '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': '2-46818-1.1-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-46818-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 19.335035872302658, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 2063756903256966657, 'z1': {'__RealLiteral__': 0, 'data': '0.3375450431280792', 'prec': 60}}
           
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              lfunc_instances •   Show schema
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{'Lhash': '2063756903256966657', 'Lhash_array': ['2063756903256966657'], 'factors': ['2-46818-1.1-c1-0-0'], 'label': '2-46818-1.1-c1-0-0', 'type': 'ECQ', 'url': 'EllipticCurve/Q/46818/d'}