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lfunc_lfunctions • Show schema
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{'Lhash': '2922037235702853557775988355009', 'a10': [27.843033884854037, 48.22554932542905], 'a2': [-4.978609503579518, 1.8120656673377786], 'a3': [-3.676712308747986, 3.6717552476575905], 'a4': [15.374615061436163, -12.900833827543739], 'a5': [-1.825133070000856, -10.35084399827891], 'a6': [11.651453219112872, -24.94267971416649], 'a7': [-5.922444824943015, -4.969521268277474], 'a8': [-31.974544313634414, 55.38153530007734], 'a9': [0.03642680259789051, -26.999975427545348], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5930515701549974, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [3.676712308747986, -3.6717552476575905]]]], 'bad_primes': [3], 'central_character': '27.7', 'coefficient_field': 'CDF', 'conductor': 27, 'conductor_radical': 3, 'conjugate': '439996364978838482233552009069', 'degree': 2, 'euler_factors': [[[1.0, 0], [4.978609503579518, -1.8120656673377786], [6.128355544951824, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5930515701549974, 'bad_primes': [3], 'central_character': '27.7', 'conductor': 27, 'conductor_radical': 3, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/27/4/e/a/7/1'], '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': '2-3e3-27.7-c3-0-3', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-3e3-27.7-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2621614675448611, 'root_angle': 0.2456924541177726, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.30508093884605609361262026822', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2922037235702853557775988355009', 'Lhash_array': ['2922037235702853557775988355009'], 'label': '2-3e3-27.7-c3-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/27/4/e/a/7/1'}