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lfunc_lfunctions • Show schema
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{'Lhash': '3092630349591390948804336037703', 'a10': [0.5702814231793338, 3.1104306933890284], 'a2': [1.323354741272449, -0.4987306174195943], 'a3': [1.0893117787160131, -1.0893117787160131], 'a4': [1.5025355424965405, -1.319995054359912], 'a5': [-0.39829119746539793, 2.200310005890438], 'a6': [0.8982727711262871, -1.9848190430492347], 'a7': [-0.555275427394731, -0.555275427394731], 'a8': [1.3300655856414383, -2.496182192447558], 'a9': [0.0, 0.6267996975011108], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.323354741272449, 0.4987306174195943]]], [5, [[1.0, 0], [0.39829119746539793, -2.200310005890438]]], [13, [[1.0, 0], [-0.7071067811865476, -0.7071067811865476]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.183', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '2573224519927771571218773160972', 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[59.0, 0]], [[1.0, 0], [-9.922351406286342, 0], [61.0, 0]], [[1.0, 0], [4.220527247381134, 4.220527247381134], [0, 67.0]], [[1.0, 0], [0, 11.567032457314303], [-71.0, 0]], [[1.0, 0], [7.677723492924991, 7.677723492924991], [0, 73.0]], [[1.0, 0], [6.134154395830208, 0], [79.0, 0]], [[1.0, 0], [-2.2704464777402493, 2.2704464777402493], [0, -83.0]], [[1.0, 0], [0, 5.299317247771428], [-89.0, 0]], [[1.0, 0], [3.443190620836627, -3.443190620836627], [0, -97.0]], [[1.0, 0], [-13.767875356562513, 0], [101.0, 0]], [[1.0, 0], [14.110271789409099, -14.110271789409099], [0, -103.0]], [[1.0, 0], [-5.44316603281718, -5.44316603281718], [0, 107.0]], [[1.0, 0], [0, 13.029160190234563], [-109.0, 0]], [[1.0, 0], [-7.884789047884451, -7.884789047884451], [0, 113.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 28, 'label': '2-260-20.3-c1-0-28', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 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'root_angle': 0.25376742531392193, 'root_number': '0.6986883351042679 + 0.7154261739615251*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.126883712657', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.43965517709263886111689577747', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.96942781049828369551239794739', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.58615329522924029987100812630', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '20.3', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 28, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/o/a/183/34'], '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': '2-260-20.3-c1-0-28', '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': '2-260-20.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.12688371265696097, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.43965517709263886111689577747', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3092630349591390948804336037703', 'Lhash_array': ['3092630349591390948804336037703'], 'label': '2-260-20.3-c1-0-28', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/o/a/183/34'}