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{'Lhash': '373100985304216050538009183001,944157630625658406798414741243,1109726861433220261213521457289', 'a10': 0, 'a2': 0, 'a3': -3, 'a4': 0, 'a5': -3, 'a6': 0, 'a7': 2, 'a8': 0, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 28828.69570978275, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 3, 3, 1]], [5, [1, 3, 3, 1]]], 'bad_primes': [2, 3, 5], 'central_character': '3840.1', 'coefficient_field': '1.1.1.1', 'conductor': 56623104000, 'conductor_radical': 30, 'degree': 6, 'euler_factors': [[1], [1, 3, 3, 1], [1, 3, 3, 1], [1, -2, 5, -12, 35, -98, 343], [1, 4, 9, 24, 99, 484, 1331], [1, 0, 11, 16, 143, 0, 2197], [1, -6, 35, -172, 595, -1734, 4913], [1, 4, 45, 136, 855, 1444, 6859], [1, 4, 57, 168, 1311, 2116, 12167], [1, 6, 99, 356, 2871, 5046, 24389], [1, -6, 77, -308, 2387, -5766, 29791], [1, -4, 51, -40, 1887, -5476, 50653], [1, -10, 87, -588, 3567, -16810, 68921], [1, 4, 65, 216, 2795, 7396, 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'0.74480904316668258954569231580', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.875420136458282469484482080441', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 28828.69570978275, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 56623104000, 'conductor_radical': 30, 'degree': 6, 'dirichlet_coefficients': [1, 0, -3, 0, -3, 0, 2, 0, 6, 0, -4, 0, 0, 0, 9, 0, 6, 0, -4, 0, -6, 0, -4, 0, 6, 0, -10, 0, -6, 0, 6, 0, 12, 0, -6, 0, 4, 0, 0, 0, 10, 0, -4, 0, -18, 0, -4, 0, -1, 0, -18, 0, -6, 0, 12, 0, 12, 0, -8, 0, -8, 0, 12, 0, 0, 0, 12, 0, 12, 0, -4, 0, 18, 0, -18, 0, -8, 0, -18, 0, 15, 0, -16, 0, -18, 0, 18, 0, 14, 0, 0, 0, -18, 0, 12, 0, 18, 0, -24, 0], 'euler11': [1, 4, 9, 24, 99, 484, 1331], 'euler13': [1, 0, 11, 16, 143, 0, 2197], 'euler17': [1, -6, 35, -172, 595, -1734, 4913], 'euler19': [1, 4, 45, 136, 855, 1444, 6859], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 4, 57, 168, 1311, 2116, 12167], 'euler29': [1, 6, 99, 356, 2871, 5046, 24389], 'euler3': [1, 3, 3, 1, 0, 0, 0], 'euler31': [1, -6, 77, -308, 2387, -5766, 29791], 'euler37': [1, -4, 51, -40, 1887, -5476, 50653], 'euler41': [1, -10, 87, -588, 3567, -16810, 68921], 'euler43': [1, 4, 65, 216, 2795, 7396, 79507], 'euler47': [1, 4, 49, -120, 2303, 8836, 103823], 'euler5': [1, 3, 3, 1, 0, 0, 0], 'euler53': [1, 6, 171, 644, 9063, 16854, 148877], 'euler59': [1, 8, 169, 912, 9971, 27848, 205379], 'euler61': [1, 8, 87, 464, 5307, 29768, 226981], 'euler67': [1, -12, 249, -1672, 16683, -53868, 300763], 'euler7': [1, -2, 5, -12, 35, -98, 343], 'euler71': [1, 4, 101, 632, 7171, 20164, 357911], 'euler73': [1, -18, 327, -2844, 23871, -95922, 389017], 'euler79': [1, 18, 317, 2908, 25043, 112338, 493039], 'euler83': [1, 16, 265, 2400, 21995, 110224, 571787], 'euler89': [1, -14, 263, -2308, 23407, -110894, 704969], 'euler97': [1, -18, 287, -3164, 27839, -169362, 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, -2, 5, -12, 35, -98, 343], [1, 4, 9, 24, 99, 484, 1331], [1, 0, 11, 16, 143, 0, 2197], [1, -6, 35, -172, 595, -1734, 4913], [1, 4, 45, 136, 855, 1444, 6859], [1, 4, 57, 168, 1311, 2116, 12167], [1, 6, 99, 356, 2871, 5046, 24389], [1, -6, 77, -308, 2387, -5766, 29791], [1, -4, 51, -40, 1887, -5476, 50653], [1, -10, 87, -588, 3567, -16810, 68921], [1, 4, 65, 216, 2795, 7396, 79507], [1, 4, 49, -120, 2303, 8836, 103823], [1, 6, 171, 644, 9063, 16854, 148877], [1, 8, 169, 912, 9971, 27848, 205379], [1, 8, 87, 464, 5307, 29768, 226981], [1, -12, 249, -1672, 16683, -53868, 300763], [1, 4, 101, 632, 7171, 20164, 357911], [1, -18, 327, -2844, 23871, -95922, 389017], [1, 18, 317, 2908, 25043, 112338, 493039], [1, 16, 265, 2400, 21995, 110224, 571787], [1, -14, 263, -2308, 23407, -110894, 704969], [1, -18, 287, -3164, 27839, -169362, 912673]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3840/2/a/bo'], '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': '6-3840e3-1.1-c1e3-0-0', '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': '6-3840e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.537377933297643, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 53309803427312422, 'z1': {'__RealLiteral__': 0, 'data': '0.29432478100593529630591925782', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '373100985304216050538009183001,944157630625658406798414741243,1109726861433220261213521457289', 'Lhash_array': ['373100985304216050538009183001', '944157630625658406798414741243', '1109726861433220261213521457289'], 'label': '6-3840e3-1.1-c1e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3840/2/a/bo'}