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lfunc_lfunctions • Show schema
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{'Lhash': '1957321336087594949166194180439', 'a10': [0, 0], 'a2': [0.7071067811865476, -0.7071067811865476], 'a3': [0, 0], 'a4': [0, -1.0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [-0.7071067811865476, -0.7071067811865476], 'a8': [-0.7071067811865476, -0.7071067811865476], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 25.152876636703333, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.7071067811865476, 0.7071067811865476]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0.7071067811865476, 0.7071067811865476]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '3150.1457', 'coefficient_field': 'CDF', 'conductor': 3150, 'conductor_radical': 210, 'conjugate': '303931675967764992813096643182', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 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'sign_arg': {'__RealLiteral__': 0, 'data': '0.4938289882080164', 'prec': 60}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.54405428099446043313228903992', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.84600117698028953473279023127', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.56374265251577514429304408744', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 25.152876636703333, 'bad_primes': [2, 3, 5, 7], 'central_character': '15.2', 'conductor': 3150, 'conductor_radical': 210, 'degree': 2, 'index': 31, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3150/2/m/k/1457/4'], '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': '2-3150-15.2-c1-0-31', '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': '2-3150-15.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.015264363590751, 'root_angle': 0.4938289882080164, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.54405428099446043313228903992', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1957321336087594949166194180439', 'Lhash_array': ['1957321336087594949166194180439'], 'label': '2-3150-15.2-c1-0-31', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3150/2/m/k/1457/4'}