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lfunc_lfunctions • Show schema
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{'Lhash': '394376263999649871383038770666', 'a10': [5.3261608116401415, -1.0760581259180284], 'a2': [-2.426726895396303, -0.12717936751414927], 'a3': [-1.286999220347676, -1.5893116776701732], 'a4': [3.8837850425819327, 0.40820225683684674], 'a5': [-2.1656053828552806, 0.5569141098483987], 'a6': [2.9210679684228342, 4.02050514020465], 'a7': [-2.3122380997337806, -1.2859062835757185], 'a8': [-4.572692378518911, -0.7242433231479904], 'a9': [-0.24580954314997663, 1.1564429779005234], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3973820353724073, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [2.1656053828552806, -0.5569141098483987]]], [7, [[1.0, 0], [2.3122380997337806, 1.2859062835757185]]]], 'bad_primes': [5, 7], 'central_character': '175.103', 'coefficient_field': 'CDF', 'conductor': 175, 'conductor_radical': 35, 'conjugate': '1692517959453080107475769785771', 'degree': 2, 'euler_factors': [[[1.0, 0], 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1.182109146979418, 'root_angle': -0.18583805889842103, 'root_number': '0.39230980545761845 - 0.9198331460334562*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.185838058898', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.31110801661644452734045267708', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.21274095076408174112203885970', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.06630297806791959626788752488', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3973820353724073, 'bad_primes': [5, 7], 'central_character': '175.103', 'conductor': 175, 'conductor_radical': 35, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/175/2/x/a/103/2'], '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': '2-175-175.103-c1-0-0', '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': '2-175-175.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.182109146979418, 'root_angle': -0.18583805889842103, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.31110801661644452734045267708', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '394376263999649871383038770666', 'Lhash_array': ['394376263999649871383038770666'], 'factors': ['2-175-175.103-c1-0-0'], 'label': '2-175-175.103-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/175/2/x/a/103/2'}