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lfunc_lfunctions • Show schema
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{'Lhash': '3221819660183817795529496639061', 'a10': [-7.0, -12.12435565298214], 'a2': [1.0, -1.7320508075688772], 'a3': [-0.5, -0.8660254037844386], 'a4': [-2.0, -3.4641016151377544], 'a5': [3.5, -6.06217782649107], 'a6': [-2.0, 3.111507638930571e-61], 'a7': [0.0, 0.0], 'a8': [-8.0, 0.0], 'a9': [13.0, -22.516660498395403], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.782187180562583, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 1.7320508075688772]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '98.79', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'conjugate': '1135837813659815181156576844313', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 1.7320508075688772]], [[1.0, 0], [0.5, 0.8660254037844386], [-13.5, 23.382685902179844]], [[1.0, 0], [-3.5, 6.06217782649107], [-62.5, -108.25317547305482]], [[1.0, 0], [0, 0]], [[1.0, 0], [17.5, 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'0.353506286387', 'prec': 47}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.54156757359145915234473106195', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.51651740539359137357503085798', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.57830663988827454210390884204', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.782187180562583, 'bad_primes': [2, 7], 'central_character': '7.2', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/4/c/e/79/1'], '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': '2-98-7.2-c3-0-7', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-98-7.2-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4046178866012338, 'root_angle': 0.3535062863872795, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.54156757359145915234473106195', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3221819660183817795529496639061', 'Lhash_array': ['3221819660183817795529496639061'], 'label': '2-98-7.2-c3-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/4/c/e/79/1'}