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lfunc_lfunctions • Show schema
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{'Lhash': '2565663736369710997651094468970', 'a10': [-0.8342266920553649, -1.444923015670008], 'a2': [1.0, 0.0], 'a3': [2.37163416429566, 0.0], 'a4': [1.0, 0.0], 'a5': [-0.8342266920553649, -1.444923015670008], 'a6': [2.37163416429566, 0.0], 'a7': [1.1532352958633842, 1.9974621255171077], 'a8': [1.0, 0.0], 'a9': [2.624648609254373, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.9446098598512527, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [13, [[1.0, 0], [0.8830596907812025, 3.495741063425237]]], [19, [[1.0, 0], [3.53986024970014, -2.543499442223816]]]], 'bad_primes': [2, 13, 19], 'central_character': '494.425', 'coefficient_field': 'CDF', 'conductor': 494, 'conductor_radical': 494, 'conjugate': '2404187059987942495576655849258', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [-2.37163416429566, 0], [3.0, 0]], [[1.0, 0], [0.8342266920553649, 1.444923015670008], [-2.5, 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'8.242864703259298987218783641032920', '9.019787603453488976662434468113037', '10.15911980023526861596864125665994', '11.07030962102419423871326772374843'], 'prelabel': '2-494-247.178-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.986104191589971, 'root_angle': 0.021354539974069827, 'root_number': '0.991012093613856 + 0.13377230771382367*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0213545399741', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.02395181756533360664996628112', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.09039097971270199386032595325', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.01299235355226239184666179922', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.9446098598512527, 'bad_primes': [2, 13, 19], 'central_character': '247.178', 'conductor': 494, 'conductor_radical': 494, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/494/2/h/d/425/10'], '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': '2-494-247.178-c1-0-18', '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': '2-494-247.178-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.986104191589971, 'root_angle': 0.021354539974069827, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.02395181756533360664996628112', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2565663736369710997651094468970', 'Lhash_array': ['2565663736369710997651094468970'], 'factors': ['2-494-247.178-c1-0-18'], 'label': '2-494-247.178-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/494/2/h/d/425/10'}