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lfunc_lfunctions • Show schema
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{'Lhash': '1322311782812039664529154261990', 'a10': [0, 0], 'a2': [0, 0], 'a3': [4.416407864998738, 26.636353758913348], 'a4': [0, 0], 'a5': [127.03013939455451, 0], 'a6': [0, 0], 'a7': [-467.887771647552, 0], 'a8': [0, 0], 'a9': [-689.9906831399546, 235.27400447150723], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 88.3407681100228, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-4.416407864998738, -26.636353758913348]]]], 'bad_primes': [2, 3], 'central_character': '384.65', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '132308124844125497568086482048', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-4.416407864998738, -26.636353758913348]], [[1.0, 0], [-127.03013939455451, 0], [15625.0, 0]], [[1.0, 0], [467.887771647552, 0], [117649.0, 0]], [[1.0, 0], [554.8266044899672, 0], [1771561.0, 0]], [[1.0, 0], [0, 357.21823958528466], 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'z1': {'__RealLiteral__': 0, 'data': '1.04312006997351556909285542518', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.45679572846379824932870091492', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.03389736316164954936714612712', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 88.3407681100228, 'bad_primes': [2, 3], 'central_character': '24.5', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 65, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/7/h/e/65/8'], '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': '2-384-24.5-c6-0-65', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-384-24.5-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.39897697145933, 'root_angle': 0.22384941288847812, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '1.04312006997351556909285542518', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1322311782812039664529154261990', 'Lhash_array': ['1322311782812039664529154261990'], 'label': '2-384-24.5-c6-0-65', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/7/h/e/65/8'}