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lfunc_lfunctions • Show schema
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{'Lhash': '819542348638642526009250562597', 'a10': [-1.9921669781484035, -1.9921669781484035], 'a2': [-1.2468670893600589, -1.2468670893600589], 'a3': [-0.5761506007143826, 1.6334168130934785], 'a4': [0.0, 1.1093550770584495], 'a5': [1.5977380389203006, 0.0], 'a6': [2.7550368899994404, -1.3182704449078573], 'a7': [-2.4454560476513616, 2.4454560476513616], 'a8': [-1.1105158427214448, 1.1105158427214448], 'a9': [-2.3361009705929123, -1.8821881561615603], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4612623569894316, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.5761506007143826, -1.6334168130934785]]], [61, [[1.0, 0], [-7.065998414087274, -3.327411368033134]]]], 'bad_primes': [3, 61], 'central_character': '183.50', 'coefficient_field': 'CDF', 'conductor': 183, 'conductor_radical': 183, 'conjugate': '2728156869888935275465717626141', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.2468670893600589, 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'root_number': '0.33459452120756555 - 0.9423621949006019*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.195700325329', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.64650491901403359512313811000', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.09047762063323046945872232014', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.49346684363532569362570530630', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4612623569894316, 'bad_primes': [3, 61], 'central_character': '183.50', 'conductor': 183, 'conductor_radical': 183, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/183/2/g/c/50/3'], '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': '2-183-183.50-c1-0-1', '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': '2-183-183.50-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.208826851533929, 'root_angle': -0.19570032532889248, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.64650491901403359512313811000', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '819542348638642526009250562597', 'Lhash_array': ['819542348638642526009250562597'], 'label': '2-183-183.50-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/183/2/g/c/50/3'}