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{'Lhash': '1473960695037196095239125904977,1775530869777712003435079159061,1820772598871029179653907312240', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 15, 'a6': 0, 'a7': 10, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2069948.1449300856, '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': '2160.1', 'coefficient_field': '1.1.1.1', 'conductor': 10077696000, 'conductor_radical': 30, 'degree': 6, 'euler_factors': [[1], [1], [1, -15, 75, -125], [1, -10, 325, -4052, 111475, -1176490, 40353607], [1, 28, 1221, 66112, 1625151, 49603708, 2357947691], [1, 78, 7527, 336036, 16536819, 376491102, 10604499373], [1, -11, 9706, 12229, 47685578, -265513259, 118587876497], [1, -71, 19688, -915683, 135039992, -3340257551, 322687697779], [1, -25, 2176, 755303, 26475392, -3700897225, 1801152661463], [1, 118, 15375, 3162436, 374980875, 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'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c3e3-0', 'trace_hash': 1879110083884394529, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.16274996814723423466890002621', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.40064688918069632295298851044', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.43633632054701429626388012016', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2069948.1449300856, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 10077696000, 'conductor_radical': 30, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, 15, 0, 10, 0, 0, 0, -28, 0, -78, 0, 0, 0, 11, 0, 71, 0, 0, 0, 25, 0, 150, 0, 0, 0, -118, 0, 107, 0, 0, 0, 150, 0, -410, 0, 0, 0, -592, 0, -52, 0, 0, 0, 580, 0, -225, 0, 0, 0, -169, 0, -420, 0, 0, 0, -234, 0, -673, 0, 0, 0, -1170, 0, -386, 0, 0, 0, -16, 0, -892, 0, 0, 0, -280, 0, -1263, 0, 0, 0, 1815, 0, 165, 0, 0, 0, -1800, 0, -780, 0, 0, 0, 1065, 0, -840, 0, 0, 0], 'euler11': [1, 28, 1221, 66112, 1625151, 49603708, 2357947691], 'euler13': [1, 78, 7527, 336036, 16536819, 376491102, 10604499373], 'euler17': [1, -11, 9706, 12229, 47685578, -265513259, 118587876497], 'euler19': [1, -71, 19688, -915683, 135039992, -3340257551, 322687697779], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -25, 2176, 755303, 26475392, -3700897225, 1801152661463], 'euler29': [1, 118, 15375, 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14507145975869], [1, -107, 26244, -9258271, 781835004, -94962893867, 26439622160671], [1, 410, 126819, 26481628, 6423762807, 1051947827690, 129961739795077], [1, 592, 301279, 85759864, 20764449959, 2812061710672, 327381934393961], [1, 52, 175069, 917504, 13919210983, 328710878548, 502592611936843], [1, -580, 309773, -92211384, 32161562179, -6251944890820, 1119130473102767], [1, 169, 419518, 50902417, 62456581286, 3745777030801, 3299763591802133], [1, 234, 385665, 30035844, 79207492035, 9870244871994, 8662995818654939], [1, 673, 749898, 301087949, 170212597938, 34673211944953, 11694146092834141], [1, 386, 549197, 181189028, 165178137311, 34916935517234, 27206534396294947], [1, 16, 828849, 56595352, 296654174439, 2049604542736, 45848500718449031], [1, 892, 466231, 343918592, 181371784927, 134990129849788, 58871586708267913], [1, 1263, 1118004, 741292675, 551219574156, 307019456323023, 119851595982618319], [1, -1815, 2216940, -2103744111, 1267617471780, -593396777664735, 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'root_analytic_conductor': 11.289115360044814, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 1879110083884394529, 'z1': {'__RealLiteral__': 0, 'data': '1.16274996814723423466890002621', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1473960695037196095239125904977,1775530869777712003435079159061,1820772598871029179653907312240', 'Lhash_array': ['1473960695037196095239125904977', '1775530869777712003435079159061', '1820772598871029179653907312240'], 'label': '6-2160e3-1.1-c3e3-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2160/4/a/bs'}