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{'Lhash': '1279094396784118780808650471967,1473601315418831825304430732306,1612824405365014135650612871153', 'a10': 0, 'a2': 0, 'a3': 3, 'a4': 0, 'a5': 3, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3276.1980968099137, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -3, 3, -1]], [5, [1, -3, 3, -1]], [31, [1, 3, 3, 1]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '1860.1', 'coefficient_field': '1.1.1.1', 'conductor': 6434856000, 'conductor_radical': 930, 'degree': 6, 'euler_factors': [[1], [1, -3, 3, -1], [1, -3, 3, -1], [1, 0, 5, 18, 35, 0, 343], [1, -6, 45, -140, 495, -726, 1331], [1, 0, 23, -18, 299, 0, 2197], [1, -2, 11, -24, 187, -578, 4913], [1, -12, 105, -520, 1995, -4332, 6859], [1, 2, 29, 48, 667, 1058, 12167], [1, -4, 45, -286, 1305, -3364, 24389], [1, 3, 3, 1], [1, 6, 107, 402, 3959, 8214, 50653], [1, -12, 171, -1048, 7011, -20172, 68921], [1, -6, 141, 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{'__RealLiteral__': 0, 'data': '1.27229412037878514002895456979', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3276.1980968099137, 'bad_primes': [2, 3, 5, 31], 'central_character': '1.1', 'conductor': 6434856000, 'conductor_radical': 930, 'degree': 6, 'dirichlet_coefficients': [1, 0, 3, 0, 3, 0, 0, 0, 6, 0, 6, 0, 0, 0, 9, 0, 2, 0, 12, 0, 0, 0, -2, 0, 6, 0, 10, 0, 4, 0, -3, 0, 18, 0, 0, 0, -6, 0, 0, 0, 12, 0, 6, 0, 18, 0, 4, 0, -5, 0, 6, 0, 2, 0, 18, 0, 36, 0, 14, 0, 2, 0, 0, 0, 0, 0, -2, 0, -6, 0, -4, 0, 6, 0, 18, 0, 0, 0, 4, 0, 15, 0, -10, 0, 6, 0, 12, 0, 34, 0, 0, 0, -9, 0, 36, 0, 8, 0, 36, 0], 'euler11': [1, -6, 45, -140, 495, -726, 1331], 'euler13': [1, 0, 23, -18, 299, 0, 2197], 'euler17': [1, -2, 11, -24, 187, -578, 4913], 'euler19': [1, -12, 105, -520, 1995, -4332, 6859], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 2, 29, 48, 667, 1058, 12167], 'euler29': [1, -4, 45, -286, 1305, -3364, 24389], 'euler3': [1, -3, 3, -1, 0, 0, 0], 'euler31': [1, 3, 3, 1, 0, 0, 0], 'euler37': [1, 6, 107, 402, 3959, 8214, 50653], 'euler41': [1, -12, 171, -1048, 7011, -20172, 68921], 'euler43': [1, -6, 141, -524, 6063, -11094, 79507], 'euler47': [1, -4, 61, -244, 2867, -8836, 103823], 'euler5': [1, -3, 3, -1, 0, 0, 0], 'euler53': [1, -2, 75, -176, 3975, -5618, 148877], 'euler59': [1, -14, 195, -1418, 11505, -48734, 205379], 'euler61': [1, -2, 19, -268, 1159, -7442, 226981], 'euler67': [1, 2, 1, -554, 67, 8978, 300763], 'euler7': [1, 0, 5, 18, 35, 0, 343], 'euler71': [1, 4, 63, -134, 4473, 20164, 357911], 'euler73': [1, -6, 87, -1082, 6351, -31974, 389017], 'euler79': [1, -4, 117, -20, 9243, -24964, 493039], 'euler83': [1, 10, 241, 1576, 20003, 68890, 571787], 'euler89': [1, -34, 585, -6538, 52065, -269314, 704969], 'euler97': [1, -8, 147, -1264, 14259, -75272, 912673], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, -3, 3, -1, 0, 0, 0], [1, -3, 3, -1, 0, 0, 0], [1, 0, 5, 18, 35, 0, 343], [1, -6, 45, -140, 495, -726, 1331], [1, 0, 23, -18, 299, 0, 2197], [1, -2, 11, -24, 187, -578, 4913], [1, -12, 105, -520, 1995, -4332, 6859], [1, 2, 29, 48, 667, 1058, 12167], [1, -4, 45, -286, 1305, -3364, 24389], [1, 3, 3, 1, 0, 0, 0], [1, 6, 107, 402, 3959, 8214, 50653], [1, -12, 171, -1048, 7011, -20172, 68921], [1, -6, 141, -524, 6063, -11094, 79507], [1, -4, 61, -244, 2867, -8836, 103823], [1, -2, 75, -176, 3975, -5618, 148877], [1, -14, 195, -1418, 11505, -48734, 205379], [1, -2, 19, -268, 1159, -7442, 226981], [1, 2, 1, -554, 67, 8978, 300763], [1, 4, 63, -134, 4473, 20164, 357911], [1, -6, 87, -1082, 6351, -31974, 389017], [1, -4, 117, -20, 9243, -24964, 493039], [1, 10, 241, 1576, 20003, 68890, 571787], [1, -34, 585, -6538, 52065, -269314, 704969], [1, -8, 147, -1264, 14259, -75272, 912673]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1860/2/a/h'], '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': '6-1860e3-1.1-c1e3-0-2', 'motivic_weight': 1, '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': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-1860e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.853851940066997, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 2246273095060683107, 'z1': {'__RealLiteral__': 0, 'data': '1.00902756371024399298149263107', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1279094396784118780808650471967,1473601315418831825304430732306,1612824405365014135650612871153', 'Lhash_array': ['1279094396784118780808650471967', '1473601315418831825304430732306', '1612824405365014135650612871153'], 'factors': ['2-1860-1.1-c1-0-6', '2-1860-1.1-c1-0-12', '2-1860-1.1-c1-0-13'], 'label': '6-1860e3-1.1-c1e3-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1860/2/a/h'}