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lfunc_lfunctions • Show schema
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{'Lhash': '2161846743382086751156077494285', 'a10': [1.6650960146265734, 0.0], 'a2': [1.0, 0.0], 'a3': [2.8085297435813272, 0.0], 'a4': [1.0, 0.0], 'a5': [1.6650960146265734, 0.0], 'a6': [2.8085297435813272, 0.0], 'a7': [0.0, 0.0], 'a8': [1.0, 0.0], 'a9': [4.887839320580996, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.303076976745318, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [7, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 7, 17], 'central_character': '1666.1', 'coefficient_field': 'CDF', 'conductor': 1666, 'conductor_radical': 238, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [-2.8085297435813272, 0], [3.0, 0]], [[1.0, 0], [-1.6650960146265734, 0], [5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.6056838187917678, 0], [11.0, 0]], [[1.0, 0], [-0.46696204595729385, 0], [13.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [5.859700174281939, 0], [19.0, 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'5.06479984313558887113042145039834', '6.27113114948423814139339336200080', '6.85092635176181363342957737018839', '8.016889317871795897727907354678621', '8.421236033956174634217347553375729', '9.346790018714053271306469666896352'], 'prelabel': '2-1666-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6473383414135463, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.70539637893348936708383394395', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.45634720892264807540344992762', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.27415229263883304577195389695', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.303076976745318, 'bad_primes': [2, 7, 17], 'central_character': '1.1', 'conductor': 1666, 'conductor_radical': 238, 'degree': 2, 'index': 42, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1666/2/a/y/1/4'], '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': '2-1666-1.1-c1-0-42', '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': '2-1666-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6473383414135463, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.70539637893348936708383394395', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2161846743382086751156077494285', 'Lhash_array': ['2161846743382086751156077494285'], 'label': '2-1666-1.1-c1-0-42', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1666/2/a/y/1/4'}