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lfunc_lfunctions • Show schema
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{'Lhash': '1412306958995753207250454618119', 'a10': [-7.067907557647753, -0.2113829618152213], 'a2': [1.0, 1.0], 'a3': [1.7495351609063206, -1.7495351609063206], 'a4': [0.0, 2.0], 'a5': [-3.6396452597314872, 3.428262297916266], 'a6': [3.499070321812641, -6.223015277861142e-61], 'a7': [4.685304630141772, 4.685304630141772], 'a8': [-2.0, 2.0], 'a9': [0.0, 2.8782534415049894], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.267046080286829, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, -1.0]]], [5, [[1.0, 0], [3.6396452597314872, -3.428262297916266]]], [23, [[1.0, 0], [-3.391164991562634, 3.391164991562634]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.47', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': '2698579009294179448461401360486', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, -1.0]], [[1.0, 0], [-1.7495351609063206, 1.7495351609063206], [0, -9.0]], 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False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.208345598428', 'prec': 50}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.11411374612332427703144571335', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.21382166737967748148135215183', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.21823278268419511293060893072', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.267046080286829, 'bad_primes': [2, 5, 23], 'central_character': '5.2', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/3/f/b/47/8'], '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': '2-230-5.2-c2-0-10', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-230-5.2-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.5034068946711057, 'root_angle': -0.20834559842829056, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.11411374612332427703144571335', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1412306958995753207250454618119', 'Lhash_array': ['1412306958995753207250454618119'], 'label': '2-230-5.2-c2-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/3/f/b/47/8'}