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lfunc_lfunctions • Show schema
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{'Lhash': '1072824254189480362115383843167', 'a10': [0.0, -16046.667167270314], 'a2': [-9.153858471910713, 0.0], 'a3': [0.0, -105.75884505051548], 'a4': [-428.20687507622847, 0.0], 'a5': [0.0, 1752.9948946130958], 'a6': [0.0, 968.1014997451535], 'a7': [0.0, -5869.77890110501], 'a8': [8606.520668765232, 0.0], 'a9': [8498.066693581057, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.755609214785846, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [307867.3282967559, -154290.58514510051]]]], 'bad_primes': [17], 'central_character': '17.16', 'coefficient_field': 'CDF', 'conductor': 17, 'conductor_radical': 17, 'conjugate': '1709881155738483717142427364233', 'degree': 2, 'euler_factors': [[[1.0, 0], [9.153858471910713, 0], [512.0, 0]], [[1.0, 0], [0, 105.75884505051548], [-19683.0, 0]], [[1.0, 0], [0, -1752.9948946130958], [-1953125.0, 0]], [[1.0, 0], [0, 5869.77890110501], [-40353607.0, 0]], [[1.0, 0], [0, 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'-0.0739393513253', 'prec': 54}, 'spectral_label': 'c9-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.846309112302970345245977670764', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '4.09640182754312549871111592979', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.49535396511526509017902092720', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.755609214785846, 'bad_primes': [17], 'central_character': '17.16', 'conductor': 17, 'conductor_radical': 17, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/17/10/b/a/16/5'], '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': '2-17-17.16-c9-0-3', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-17-17.16-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9589878699964025, 'root_angle': -0.0739393513253054, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.846309112302970345245977670764', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1072824254189480362115383843167', 'Lhash_array': ['1072824254189480362115383843167'], 'label': '2-17-17.16-c9-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/17/10/b/a/16/5'}