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lfunc_lfunctions • Show schema
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{'Lhash': '1383410271105679896372389556445', 'a10': [-0.6579387259397126, 0.753071466003611], 'a2': [-0.044864830350514924, -0.9989930665413147], 'a3': [0.0, 0.0], 'a4': [-0.9959742939952391, 0.0896393089034335], 'a5': [-0.7227948638273916, -0.6910626489868646], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.1342332658176555, 0.9909497617679347], 'a9': [-0.4738686624729987, 0.880595531856738], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4472885366357071, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.044864830350514924, 0.9989930665413147]]], [5, [[1.0, 0], [0.7227948638273916, 0.6910626489868646]]], [29, [[1.0, 0], [-0.880595531856738, 0.4738686624729987]]]], 'bad_primes': [2, 5, 29], 'central_character': '2900.1887', 'coefficient_field': 'CDF', 'conductor': 2900, 'conductor_radical': 290, 'conjugate': '959099130711812882638639627382', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.044864830350514924, 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103}, 'z3': {'__RealLiteral__': 0, 'data': '3.67560380570495979437207211708', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4472885366357071, 'bad_primes': [2, 5, 29], 'central_character': '2900.1887', 'conductor': 2900, 'conductor_radical': 290, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2900/1/da/a/1887/1'], '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': '2-2900-2900.1887-c0-0-0', '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': '2-2900-2900.1887-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2030330571666379, 'root_angle': 0.2992952528406723, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.09131827875647199533482462828', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1383410271105679896372389556445', 'Lhash_array': ['1383410271105679896372389556445'], 'label': '2-2900-2900.1887-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2900/1/da/a/1887/1'}