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lfunc_lfunctions • Show schema
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{'Lhash': '1720935965468703558304683917284', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [3.287150385826967, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-1.9320955932179595, 0.0], 'a8': [0.0, 0.0], 'a9': [7.805357659042378, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 15.17157638404328, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 19], 'central_character': '1900.1', 'coefficient_field': 'CDF', 'conductor': 1900, 'conductor_radical': 190, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-3.287150385826967, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.9320955932179595, 0], [7.0, 0]], [[1.0, 0], [-5.629813271691878, 0], [11.0, 0]], [[1.0, 0], [2.0702909390409028, 0], [13.0, 0]], [[1.0, 0], [-3.42534573164991, 0], [17.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [5.35744132486787, 0], 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'6.43933901159237273433225510714464', '6.87701303704460933934273181062448', '7.924619990615411977971366935903290', '8.373860710128365146512028189700992', '9.333289615233141188616662535513931'], 'prelabel': '2-1900-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.8950707803637252, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.35757910354703740290716756116', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.37422277111233868413714740535', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.46653409816443336706769462798', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 15.17157638404328, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 1900, 'conductor_radical': 190, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1900/2/a/k/1/6'], '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': '2-1900-1.1-c1-0-14', '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': '2-1900-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.8950707803637252, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.35757910354703740290716756116', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1720935965468703558304683917284', 'Lhash_array': ['1720935965468703558304683917284'], 'label': '2-1900-1.1-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1900/2/a/k/1/6'}