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lfunc_lfunctions • Show schema
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{'Lhash': '814952755698578552791347112809', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0.3278247175298986, 0], 'a4': [0, 0], 'a5': [0.5702930681266418, 1.755181587138531], 'a6': [0, 0], 'a7': [0.8090169943749475, -0.5877852522924731], 'a8': [0, 0], 'a9': [-2.892530954576442, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.166826152042992, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-0.8090169943749475, 0.5877852522924731]]], [41, [[1.0, 0], [6.035261867554478, 2.139068533273966]]]], 'bad_primes': [2, 7, 41], 'central_character': '1148.953', 'coefficient_field': 'CDF', 'conductor': 1148, 'conductor_radical': 574, 'conjugate': '2054455475331544435648573966551', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.3278247175298986, 0], [3.0, 0]], [[1.0, 0], [-0.5702930681266418, -1.755181587138531], [-4.045084971874737, 2.9389262614623655]], [[1.0, 0], [-0.8090169943749475, 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'0.64288436857273876423077857034', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.19872422796641666883258624987', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.22615899312953657173315175558', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.166826152042992, 'bad_primes': [2, 7, 41], 'central_character': '41.10', 'conductor': 1148, 'conductor_radical': 574, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1148/2/n/e/953/3'], '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': '2-1148-41.10-c1-0-5', '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': '2-1148-41.10-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.0276766921259926, 'root_angle': -0.2508438730641706, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.64288436857273876423077857034', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '814952755698578552791347112809', 'Lhash_array': ['814952755698578552791347112809'], 'label': '2-1148-41.10-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1148/2/n/e/953/3'}