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lfunc_lfunctions • Show schema
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{'Lhash': '1558274046140231716525968860894', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [2.6457513110645907, 0.0], 'a6': [0.0, 0.0], 'a7': [0.9137005034957133, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 20.697224203915887, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '2592.1', 'coefficient_field': 'CDF', 'conductor': 2592, 'conductor_radical': 6, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.6457513110645907, 0], [5.0, 0]], [[1.0, 0], [-0.9137005034957133, 0], [7.0, 0]], [[1.0, 0], [-5.58257569495584, 0], [11.0, 0]], [[1.0, 0], [-2.58257569495584, 0], [13.0, 0]], [[1.0, 0], [1.7320508075688772, 0], [17.0, 0]], [[1.0, 0], [-7.841903733771223, 0], [19.0, 0]], [[1.0, 0], [1.58257569495584, 0], [23.0, 0]], [[1.0, 0], 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'7.14269634991967844181496024107621', '8.330447704859203159412243592764700', '8.947359306071541206678946584065301'], 'prelabel': '2-2592-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.549420205247685, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.22926147462059190907207108373', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.86014576435415955003443393732', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.20191440006681183843802701979', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 20.697224203915887, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 2592, 'conductor_radical': 6, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2592/2/a/w/1/3'], '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': '2-2592-1.1-c1-0-22', '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': '2-2592-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.549420205247685, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.22926147462059190907207108373', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1558274046140231716525968860894', 'Lhash_array': ['1558274046140231716525968860894'], 'factors': ['2-2592-1.1-c1-0-22'], 'label': '2-2592-1.1-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2592/2/a/w/1/3'}