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lfunc_lfunctions • Show schema
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{'Lhash': '1341093234208149904150245235319', 'a10': [2.4377598652567487, -0.6249154841844415], 'a2': [0.13854197426945317, -1.4074111415522907], 'a3': [0.12382579079059765, 1.7276189318061674], 'a4': [-1.9616122427310443, -0.3899710363189583], 'a5': [0.6086225397486168, 1.6721766849304478], 'a6': [2.448625202502273, 0.06507394002750004], 'a7': [0.4080849848232054, 2.3143649552868135], 'a8': [-0.8206152142570836, 2.7067675685455153], 'a9': [-2.9693343470701663, 0.42784756083141257], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.13854197426945317, 1.4074111415522907]]], [3, [[1.0, 0], [-0.12382579079059765, -1.7276189318061674]]]], 'bad_primes': [2, 3], 'central_character': '216.157', 'coefficient_field': 'CDF', 'conductor': 216, 'conductor_radical': 6, 'conjugate': '3095292207844805558639042334908', 'degree': 2, 'euler_factors': [[[1.0, 0], 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50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.05793602272321552868142306156', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.59158066157805946643572399216', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.18089094724673904215697798013', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'bad_primes': [2, 3], 'central_character': '216.157', 'conductor': 216, 'conductor_radical': 6, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/216/2/t/a/157/19'], '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': '2-6e3-216.157-c1-0-5', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-6e3-216.157-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3133044900782367, 'root_angle': -0.10768439212142804, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.05793602272321552868142306156', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1341093234208149904150245235319', 'Lhash_array': ['1341093234208149904150245235319'], 'label': '2-6e3-216.157-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/216/2/t/a/157/19'}