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{'Lhash': '1795466321073562065634162015814,1837356976076720892316968213668,2002128117213438456785159942138', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 15, 'a6': 0, 'a7': -24, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 258743.5181162607, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1, -15, 75, -125]]], 'bad_primes': [2, 3, 5], 'central_character': '1080.1', 'coefficient_field': '1.1.1.1', 'conductor': 1259712000, 'conductor_radical': 30, 'degree': 6, 'euler_factors': [[1], [1], [1, -15, 75, -125], [1, 24, 921, 12904, 315903, 2823576, 40353607], [1, -6, 513, -60620, 682803, -10629366, 2357947691], [1, -48, 3435, -202552, 7546695, -231686832, 10604499373], [1, 27, -1158, -163141, -5689254, 651714363, 118587876497], [1, 195, 20832, 1720919, 142886688, 9173946795, 322687697779], [1, 27, -168, -1130141, -2044056, 3996969003, 1801152661463], [1, -60, 68067, -2620544, 1660086063, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 258743.5181162607, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 1259712000, 'conductor_radical': 30, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, 15, 0, -24, 0, 0, 0, 6, 0, 48, 0, 0, 0, -27, 0, -195, 0, 0, 0, -27, 0, 150, 0, 0, 0, 60, 0, -279, 0, 0, 0, -360, 0, -138, 0, 0, 0, 66, 0, 222, 0, 0, 0, -264, 0, -345, 0, 0, 0, -507, 0, 90, 0, 0, 0, -960, 0, 543, 0, 0, 0, 720, 0, -1086, 0, 0, 0, -1818, 0, 1362, 0, 0, 0, -144, 0, -129, 0, 0, 0, -1569, 0, -405, 0, 0, 0, -1770, 0, -1152, 0, 0, 0, -2925, 0, -336, 0, 0, 0], 'euler11': [1, -6, 513, -60620, 682803, -10629366, 2357947691], 'euler13': [1, -48, 3435, -202552, 7546695, -231686832, 10604499373], 'euler17': [1, 27, -1158, -163141, -5689254, 651714363, 118587876497], 'euler19': [1, 195, 20832, 1720919, 142886688, 9173946795, 322687697779], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 27, -168, -1130141, -2044056, 3996969003, 1801152661463], 'euler29': [1, -60, 68067, 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512969445815961, 186940255267540403], [1, 1770, 2057019, 1828728060, 1450134627411, 879656885000970, 350356403707485209], [1, 336, 1258275, 1117216928, 1148393619075, 279878593656144, 760231058654565217]], 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1080/4/a/i'], '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': '6-1080e3-1.1-c3e3-0-10', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3, 3], 'order_of_vanishing': 3, 'prelabel': '6-1080e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.982610024684901, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 1292131932011930181, 'z1': {'__RealLiteral__': 0, 'data': '1.41637318733592999584625670901', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1795466321073562065634162015814,1837356976076720892316968213668,2002128117213438456785159942138', 'Lhash_array': ['1795466321073562065634162015814', '1837356976076720892316968213668', '2002128117213438456785159942138'], 'label': '6-1080e3-1.1-c3e3-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1080/4/a/i'}