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lfunc_lfunctions • Show schema
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{'Lhash': '2401556658759376779002878286936', 'a10': [0.13133434509525221, -0.015498643213351653], 'a2': [-1.9023254812876338, 0.6173797561013579], 'a3': [-2.839484612300699, -0.9681565661129133], 'a4': [3.2376844735124557, -2.3489144833255153], 'a5': [-0.06485230495247073, -0.01289992550812347], 'a6': [5.999344196358477, 0.08870858819676643], 'a7': [1.9942868094079105, -4.814634262534345], 'a8': [-4.708957423513628, 6.467280725585978], 'a9': [7.125345726984904, 5.498131343551004], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.231621075717701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.9023254812876338, -0.6173797561013579]]], [3, [[1.0, 0], [2.839484612300699, 0.9681565661129133]]]], 'bad_primes': [2, 3], 'central_character': '192.101', 'coefficient_field': 'CDF', 'conductor': 192, 'conductor_radical': 6, 'conjugate': '250117611819692293899646925559', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.424501845909', 'prec': 47}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.89449415976847051607116396320', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.84700669417669365432456660044', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.48899014795386747462234950712', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.231621075717701, 'bad_primes': [2, 3], 'central_character': '192.101', 'conductor': 192, 'conductor_radical': 6, 'degree': 2, 'index': 39, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/192/3/q/a/101/6'], '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': '2-192-192.101-c2-0-39', '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': '2-192-192.101-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2872737212055974, 'root_angle': 0.4245018459093487, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.89449415976847051607116396320', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2401556658759376779002878286936', 'Lhash_array': ['2401556658759376779002878286936'], 'label': '2-192-192.101-c2-0-39', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/192/3/q/a/101/6'}