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lfunc_lfunctions • Show schema
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{'Lhash': '2549680470718642896777114768330', 'a10': [0.0, 0.0], 'a2': [1.4029418507378895, 0.1781969793463003], 'a3': [-1.5811388300841898, 1.5811388300841898], 'a4': [1.9364916731037085, 0.5], 'a5': [0.0, 0.0], 'a6': [-2.5, 1.9364916731037085], 'a7': [0.0, 0.0], 'a8': [2.6276867221294786, 1.0465478920452886], 'a9': [0.0, -2.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7985040202128042, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.4029418507378895, -0.1781969793463003]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '100.43', 'coefficient_field': 'CDF', 'conductor': 100, 'conductor_radical': 10, 'conjugate': '4101710072691942054292673752103', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.4029418507378895, -0.1781969793463003]], [[1.0, 0], [1.5811388300841898, -1.5811388300841898], [0, -3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [0, 7.0]], [[1.0, 0], [0, 3.872983346207417], 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'data': '5.64232965579589898521278094368', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.7985040202128042, 'bad_primes': [2, 5], 'central_character': '20.3', 'conductor': 100, 'conductor_radical': 10, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/100/2/e/d/43/4'], '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': '2-10e2-20.3-c1-0-2', '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': '2-10e2-20.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8935905215549257, 'root_angle': -0.13770414699726893, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.01134324415544411997996953534', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2549680470718642896777114768330', 'Lhash_array': ['2549680470718642896777114768330'], 'label': '2-10e2-20.3-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/100/2/e/d/43/4'}