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lfunc_lfunctions • Show schema
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{'Lhash': '1025143387322175903455296578939', 'a10': [-3.387125340348871, 9.38830268062234], 'a2': [-0.6787402296011354, 1.8813058498609412], 'a3': [0.0, 1.7320508075688772], 'a4': [-3.078623401441996, -2.5538359289691486], 'a5': [4.990311746129045, 0.0], 'a6': [-3.258517316535696, -1.1756125628101317], 'a7': [0.0, -2.088637616488161], 'a8': [6.894132027104879, -4.058441029859466], 'a9': [-3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.5204552963441955, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.6787402296011354, -1.8813058498609412]]], [3, [[1.0, 0], [0, -1.7320508075688772]]], [23, [[1.0, 0], [0, -4.795831523312719]]]], 'bad_primes': [2, 3, 23], 'central_character': '276.139', 'coefficient_field': 'CDF', 'conductor': 276, 'conductor_radical': 138, 'conjugate': '2223445572757769748041194111628', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6787402296011354, -1.8813058498609412]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.5204552963441955, 'bad_primes': [2, 3, 23], 'central_character': '4.3', 'conductor': 276, 'conductor_radical': 138, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/276/3/f/b/139/14'], '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': '2-276-4.3-c2-0-13', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-276-4.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.742344853650648, 'root_angle': -0.38978609602366704, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.808695540504306000606906915327', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1025143387322175903455296578939', 'Lhash_array': ['1025143387322175903455296578939'], 'label': '2-276-4.3-c2-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/276/3/f/b/139/14'}