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lfunc_lfunctions • Show schema
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{'Lhash': '421199416366984159820859251011', 'a10': [0.0, 0.0], 'a2': [-0.7171554160907996, 0.0], 'a3': [-1.5697506095765328, 0.0], 'a4': [-1.485688109171632, 0.0], 'a5': [0.0, 0.0], 'a6': [1.1257551515696447, 0.0], 'a7': [2.519170309385954, 0.0], 'a8': [2.4997801062957343, 0.0], 'a9': [-0.535883023734104, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 72.06498782420559, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 19], 'central_character': '9025.1', 'coefficient_field': 'CDF', 'conductor': 9025, 'conductor_radical': 95, 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7171554160907996, 0], [2.0, 0]], [[1.0, 0], [1.5697506095765328, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.519170309385954, 0], [7.0, 0]], [[1.0, 0], [5.85392157327781, 0], [11.0, 0]], [[1.0, 0], [-0.7916975281291223, 0], [13.0, 0]], [[1.0, 0], [-0.651447221735708, 0], [17.0, 0]], 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'3.57068172505977932704965761247585', '4.51957458018743700706173264928686', '5.03909373492790656561519007483440', '5.60621602953894915872944966656145', '6.09699112919943310593461016402909', '7.43951922814776186490519405040448', '7.73971642557571602158993676635714'], 'prelabel': '2-95e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.489109954771795, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.33226775287382097988658120960', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.49205231683194259555609694042', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.43528642088897228481829666532', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 72.06498782420559, 'bad_primes': [5, 19], 'central_character': '1.1', 'conductor': 9025, 'conductor_radical': 95, 'degree': 2, 'index': 40, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9025/2/a/cv/1/18'], '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': '2-95e2-1.1-c1-0-40', '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': '2-95e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.489109954771795, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.33226775287382097988658120960', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '421199416366984159820859251011', 'Lhash_array': ['421199416366984159820859251011'], 'label': '2-95e2-1.1-c1-0-40', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9025/2/a/cv/1/18'}