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              lfunc_lfunctions •   Show schema
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        {'A10': 0, 'A2': 0, 'A3': 1, 'A4': 0, 'A5': 0, 'A6': 0, 'A7': 1, 'A8': 0, 'A9': 1, 'Lhash': '1302465739102656950', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [0.5773502691896258, 0], 'a4': [0.0, 0], 'a5': [0.0, 0], 'a6': [0.0, 0], 'a7': [0.3779644730092272, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 268.2973507915022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -1]], [5, [1]], [7, [1, -1]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '33600.1', 'coefficient_field': '1.1.1.1', 'conductor': 33600, 'conductor_radical': 210, 'degree': 2, 'euler_factors': [[1], [1, -1], [1], [1, -1], [1, -4, 11], [1, 2, 13], [1, -6, 17], [1, -4, 19], [1, -8, 23], [1, -2, 29], [1, 0, 31], [1, 2, 37], [1, -10, 41], [1, 4, 43], [1, 0, 47], [1, -14, 53], [1, -12, 59], [1, -2, 61], [1, -4, 67], [1, 0, 71], [1, 2, 73], [1, -8, 79], [1, -4, 83], [1, 6, 89], [1, -6, 97]], 'gamma_factors': [[], [0]], 'index': 127, 'label': '2-33600-1.1-c1-0-127', 'leading_term': '4.63872359142', '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/33600/hh', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [4.638723591419972, 4.134519061319461, 2.755941425295969, 1.028480912955112, -0.1268749324817961, 0.05644324743737058, 1.406476600236072, 2.668111982542973, 2.475345480053722, 0.7398460165979197, -1.026404868251622, -1.134573193202265, 0.3920370684577484, 1.680002999904338, 1.139255137916825, -0.4622934515215426, -0.7378973540467568, 1.264807288427289, 3.4957863575861, 3.276086621502848, 0.9377257194688443, -0.2507270176237726, 1.634936280875025, 4.215642668789067, 3.626558756160053, -0.2267331387016929, -3.257030761701832, -2.574861530635547, -0.2371887073927581, 0.04252470608491073, -1.623737965681767, -1.853224494245485, 0.3668197609940535, 1.905971730756676, 0.5101806636938444, -1.48207066154838, -0.945450298916178, 0.8850699866670784, 0.6685990504527776, -1.011228607667339, -0.3855316480755943, 2.650700132406799, 3.401815187554805, -0.1061772030853948, -3.216587978131367, -1.633026728603535, 1.783680361650382, 1.914148594229891, -0.1724618558765497, 0.339257973289212, 3.069255920476525, 2.922092563142449, -0.6979290144530633, -2.396418972540963, 0.09354349159185155, 2.308876686271066, 1.103282926330301, -0.4625186546299879, 0.2943815817992869, 0.8556343253223015, -0.4068646912089762, 0.1056281262190054, 4.153005304684357, 6.622756081852797, 3.743981000214193, 0.1916712914171561, 1.084141433921713, 3.043117843981748, 1.089028649748556, -1.657903872376435, -0.1694521296398754, 2.284947724627855, 0.02309266930129533, -4.013785130351632, -3.442303841423722, -0.04416389218545285, 0.2542921347801687, -1.51414451709666, -0.7633550728501516, 0.811086478421523, -0.7203523387589784, -2.592423141607738, -0.6778506553619255, 1.832478468396121, 0.8606902527182656, -0.1806469075082139, 2.030162670477919, 2.904757433385098, -0.7694836876253591, -3.146905589436119, -0.3199971490713296, 1.705566498899429, -0.8935415091030781, -1.789269074248168, 2.531735657968097, 4.977403369427362, 1.390721825214688, -1.764579921322684, -0.3565666696453536, 0.8461713717918858, -0.2622301428639941, 0.4403722437937705, 2.363590189585136, 0.5453633405253862, -2.713333995504303, -1.34506363892086, 1.975170727261725, 1.234100159566587, -0.8414772616403033, 0.2391724323442365, 0.7951313360019141, -1.60384015556801, -1.141917208323688, 3.195834391090662, 2.937714395512974, -3.084309389284412, -4.980015892606247, -0.523574636624936, 1.630993928322363, -0.1679777360400763, 0.6070717140603731], 'positive_zeros': ['0.9537892464135103', '1.233537064633089', '2.340145401383753', '2.945543206636164', '3.673414616428152', '4.119514961461019', '5.122969210343696', '5.321783696644939', '6.236713336525412', '7.038753806250300', '7.258994130591628', '7.964652130735078', '8.552675387618798', '9.118974160571965', '9.595208846433967', '10.03741311548107', '10.74399426514283', '11.35884327638103', '11.97231072380504', '12.20957109544366', '12.95425296121785', '13.49301751092356', '14.13656611232191', '14.44412244842656', '14.92666157959846', '15.23957797799861', '16.29667911665077', '16.34496476402423', '17.07699560472775', '17.51310401259925', '18.00130768699913', '18.75453651812135', '19.03592973206977', '19.59091749789733', '19.92929544596525'], 'prelabel': '2-33600-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 16.379784821282062, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 1302465739102656950, 'z1': {'__RealLiteral__': 0, 'data': '0.9537892464135103', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '1.233537064633089', 'prec': 57}, 'z3': {'__RealLiteral__': 0, 'data': '2.340145401383753', 'prec': 57}}
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              lfunc_search •   Show schema
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        {'algebraic': True, 'analytic_conductor': 268.2973507915022, 'bad_primes': [2, 3, 5, 7], 'central_character': '1.1', 'conductor': 33600, 'conductor_radical': 210, 'degree': 2, 'dirichlet_coefficients': [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 4, 0, -2, 0, 0, 0, 6, 0, 4, 0, 1, 0, 8, 0, 0, 0, 1, 0, 2, 0, 0, 0, 4, 0, 0, 0, -2, 0, -2, 0, 10, 0, -4, 0, 0, 0, 0, 0, 1, 0, 6, 0, 14, 0, 0, 0, 4, 0, 12, 0, 2, 0, 1, 0, 0, 0, 4, 0, 8, 0, 0, 0, -2, 0, 0, 0, 4, 0, 8, 0, 1, 0, 4, 0, 0, 0, 2, 0, -6, 0, -2, 0, 0, 0, 0, 0, 6, 0, 4, 0], 'euler11': [1, -4, 11], 'euler13': [1, 2, 13], 'euler17': [1, -6, 17], 'euler19': [1, -4, 19], 'euler2': [1, 0, 0], 'euler23': [1, -8, 23], 'euler29': [1, -2, 29], 'euler3': [1, -1, 0], 'euler31': [1, 0, 31], 'euler37': [1, 2, 37], 'euler41': [1, -10, 41], 'euler43': [1, 4, 43], 'euler47': [1, 0, 47], 'euler5': [1, 0, 0], 'euler53': [1, -14, 53], 'euler59': [1, -12, 59], 'euler61': [1, -2, 61], 'euler67': [1, -4, 67], 'euler7': [1, -1, 0], 'euler71': [1, 0, 71], 'euler73': [1, 2, 73], 'euler79': [1, -8, 79], 'euler83': [1, -4, 83], 'euler89': [1, 6, 89], 'euler97': [1, -6, 97], 'euler_factors': [[1, 0, 0], [1, -1, 0], [1, 0, 0], [1, -1, 0], [1, -4, 11], [1, 2, 13], [1, -6, 17], [1, -4, 19], [1, -8, 23], [1, -2, 29], [1, 0, 31], [1, 2, 37], [1, -10, 41], [1, 4, 43], [1, 0, 47], [1, -14, 53], [1, -12, 59], [1, -2, 61], [1, -4, 67], [1, 0, 71], [1, 2, 73], [1, -8, 79], [1, -4, 83], [1, 6, 89], [1, -6, 97]], 'index': 127, 'instance_types': ['ECQ'], 'instance_urls': ['EllipticCurve/Q/33600/hh'], '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': '2-33600-1.1-c1-0-127', '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': '2-33600-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 16.379784821282062, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 1302465739102656950, 'z1': {'__RealLiteral__': 0, 'data': '0.9537892464135103', 'prec': 60}}
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              lfunc_instances •   Show schema
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        {'Lhash': '1302465739102656950', 'Lhash_array': ['1302465739102656950'], 'factors': ['2-33600-1.1-c1-0-127'], 'label': '2-33600-1.1-c1-0-127', 'type': 'ECQ', 'url': 'EllipticCurve/Q/33600/hh'}