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lfunc_lfunctions • Show schema
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{'Lhash': '192177373205885000918729978792', 'a10': [-53492.805108038614, 22157.44536513037], 'a2': [26.426361849041776, -26.426361849041776], 'a3': [-94.0407425893556, 227.03443617485942], 'a4': [0.0, -884.7052011529814], 'a5': [-1431.3406231496083, -592.880698484125], 'a6': [3514.5394703311104, 8484.84885476892], 'a7': [-8665.097707553308, 3589.2009897565954], 'a8': [-9849.24250868859, -9849.24250868859], 'a9': [-28782.99116838406, -28782.99116838406], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.755609214785846, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [-271096.1207908928, 212355.29140836035]]]], 'bad_primes': [17], 'central_character': '17.8', 'coefficient_field': 'CDF', 'conductor': 17, 'conductor_radical': 17, 'conjugate': '4250771434332202933643001282934', 'degree': 2, 'euler_factors': [[[1.0, 0], [-26.426361849041776, 26.426361849041776], [0, -512.0]], [[1.0, 0], [94.0407425893556, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.755609214785846, 'bad_primes': [17], 'central_character': '17.8', 'conductor': 17, 'conductor_radical': 17, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/17/10/d/a/8/12'], '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': '2-17-17.8-c9-0-1', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-17-17.8-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9589878699964025, 'root_angle': -0.3678457705366152, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.15160121659019066136219135735', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '192177373205885000918729978792', 'Lhash_array': ['192177373205885000918729978792'], 'label': '2-17-17.8-c9-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/17/10/d/a/8/12'}