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lfunc_lfunctions • Show schema
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{'Lhash': '1841870350617466700851248100791', 'a10': [514.951407793769, -247.98752791268456], 'a2': [-0.24015958218177133, -1.0522078794298955], 'a3': [53.255747732586066, 25.646616413630042], 'a4': [114.27455029488901, -55.03172299766294], 'a5': [117.84150867937261, 516.2973837225209], 'a6': [14.195693746901934, -62.1953980714314], 'a7': [-631.9232982382817, -304.31822146469676], 'a8': [-171.48170188864393, -215.03125280325904], 'a9': [814.8535364239176, 1021.7940156797841], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.059165739039535, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[29, [[1.0, 0], [-118742.87201665802, -56124.920082219935]]]], 'bad_primes': [29], 'central_character': '29.7', 'coefficient_field': 'CDF', 'conductor': 29, 'conductor_radical': 29, 'conjugate': '3124781986173029000410511037399', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.24015958218177133, 1.0522078794298955], [-115.32401509150965, 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'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.143395356299', 'prec': 50}, 'spectral_label': 'c7-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.45297951208783718196517966415', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.05447588022449639682207387486', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.54277337856601492844088165412', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.059165739039535, 'bad_primes': [29], 'central_character': '29.7', 'conductor': 29, 'conductor_radical': 29, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/29/8/d/a/7/10'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, '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': '2-29-29.7-c7-0-7', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-29-29.7-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.0098448031484173, 'root_angle': -0.14339535629934683, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.45297951208783718196517966415', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1841870350617466700851248100791', 'Lhash_array': ['1841870350617466700851248100791'], 'label': '2-29-29.7-c7-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/29/8/d/a/7/10'}