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lfunc_lfunctions • Show schema
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{'Lhash': '3531058075817754549999804584983', 'a10': [0.0, 0.0], 'a2': [0.0, -1.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 1.0], 'a8': [0.0, -1.0], 'a9': [-1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.08733637721077542, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, -1.0]]]], 'bad_primes': [5, 7], 'central_character': '175.174', 'coefficient_field': 'CDF', 'conductor': 175, 'conductor_radical': 35, 'conjugate': '2894454142686907449528800315562', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0], [-1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, -1.0], [-1.0, 0]], [[1.0, 0], [-1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 1.0], [-1.0, 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{'__RealLiteral__': 0, 'data': '0.17620819117478337', 'prec': 64}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.78551367007755798973085985436', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.70197917174654042535704225276', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.86088782635053946864062341182', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.08733637721077542, 'bad_primes': [5, 7], 'central_character': '35.34', 'conductor': 175, 'conductor_radical': 35, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/175/1/c/a/174/1'], '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': '2-175-35.34-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-175-35.34-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.29552728674485446, 'root_angle': 0.17620819117478337, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.78551367007755798973085985436', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3531058075817754549999804584983', 'Lhash_array': ['3531058075817754549999804584983'], 'factors': ['2-175-35.34-c0-0-1'], 'label': '2-175-35.34-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/175/1/c/a/174/1'}