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lfunc_lfunctions • Show schema
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{'Lhash': '1081591906599748200163255110399', 'a10': [177.31504840053515, 117.86040725296917], 'a2': [-0.7357830441308142, 0.1971524724793648], 'a3': [4.42529195570226, -16.515414417006678], 'a4': [-110.34874409378247, 63.70987710728243], 'a5': [-184.79916283164076, -209.70042779337558], 'a6': [5.098519078725182e-60, 13.024219145336854], 'a7': [746.3202884250389, 516.283862894403], 'a8': [137.5768882236638, -137.5768882236638], 'a9': [1640.8218536042984, 947.3289388706625], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.933475891944266, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [184.79916283164076, 209.70042779337558]]], [7, [[1.0, 0], [-746.3202884250389, -516.283862894403]]]], 'bad_primes': [5, 7], 'central_character': '35.12', 'coefficient_field': 'CDF', 'conductor': 35, 'conductor_radical': 35, 'conjugate': '1659423912943079656627867845670', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7357830441308142, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.933475891944266, 'bad_primes': [5, 7], 'central_character': '35.12', 'conductor': 35, 'conductor_radical': 35, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/35/8/k/a/12/13'], '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': '2-35-35.12-c7-0-8', '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': '2-35-35.12-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.3065806949089063, 'root_angle': -0.08658057793198962, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.853225570519997417949230620325', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1081591906599748200163255110399', 'Lhash_array': ['1081591906599748200163255110399'], 'label': '2-35-35.12-c7-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/35/8/k/a/12/13'}