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lfunc_lfunctions • Show schema
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{'Lhash': '1734935700984053119692086445944', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-121.5, 210.4441731196186], 'a4': [0, 0], 'a5': [4949.718915835362, 8573.164645411587], 'a6': [0, 0], 'a7': [29163.09657635041, -33568.44561606121], 'a8': [0, 0], 'a9': [-29524.5, -51137.93406806732], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.54082716700547, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [121.5, -210.4441731196186]]], [7, [[1.0, 0], [-29163.09657635041, 33568.44561606121]]]], 'bad_primes': [2, 3, 7], 'central_character': '84.25', 'coefficient_field': 'CDF', 'conductor': 84, 'conductor_radical': 42, 'conjugate': '633750964673781417634325809982', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [121.5, -210.4441731196186]], [[1.0, 0], [-4949.718915835362, -8573.164645411587], [-24414062.5, 42286396.66916204]], [[1.0, 0], [-29163.09657635041, 33568.44561606121]], [[1.0, 0], 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'3.98874833685868473263797895479503', 'prec': 113}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.54082716700547, 'bad_primes': [2, 3, 7], 'central_character': '7.4', 'conductor': 84, 'conductor_radical': 42, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/84/12/i/b/25/7'], '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': '2-84-7.4-c11-0-10', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-84-7.4-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.033730588400726, 'root_angle': 0.12392807234798149, 'self_dual': False, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '1.36862294757853080611612107830870', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '1734935700984053119692086445944', 'Lhash_array': ['1734935700984053119692086445944'], 'label': '2-84-7.4-c11-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/84/12/i/b/25/7'}