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{'Lhash': '1272142017690943780844414368557,1339420562744822771096128639844,1486084097000917913903248572430,1662132260560493149704020548869,1690560534688644261314820859202,1702343217699930122032328059926,1723189904516792226014734133834,2489767441380764500724653320211', 'a10': -32, 'a2': -4, 'a3': 0, 'a4': 3, 'a5': 8, 'a6': 0, 'a7': -8, 'a8': 8, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 12770265567546.523, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [5, [1, -8, 28, -56, 70, -56, 28, -8, 1]], [11, [1]]], 'bad_primes': [3, 5, 11], 'central_character': '5445.1', 'coefficient_field': '1.1.1.1', 'conductor': 772650469321312061693000390625, 'conductor_radical': 165, 'degree': 16, 'euler_factors': [[1, 4, 13, 32, 68, 128, 218, 342, 503, 684, 872, 1024, 1088, 1024, 832, 512, 256], [1], [1, -8, 28, -56, 70, -56, 28, -8, 1], [1, 8, 60, 306, 1442, 5512, 19607, 59628, 169641, 417396, 960743, 1890616, 3462242, 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10}, 'spectral_label': 'c1e8-0', 'trace_hash': 191754570435247965, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.00354310364536232533104100791', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.05661651759851793204932662248', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.17231364599469402066425997924', 'prec': 103}}
-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 12770265567546.523, 'bad_primes': [3, 5, 11], 'central_character': '1.1', 'conductor': 772650469321312061693000390625, 'conductor_radical': 165, 'degree': 16, 'dirichlet_coefficients': [1, -4, 0, 3, 8, 0, -8, 8, 0, -32, 0, 0, -6, 32, 0, -11, -8, 0, 2, 24, 0, 0, 4, 0, 36, 24, 0, -24, -22, 0, 10, -12, 0, 32, -64, 0, -14, -8, 0, 64, -22, 0, -14, 0, 0, -16, 10, 0, 4, -144, 0, -18, -18, 0, 0, -64, 0, 88, 2, 0, 14, -40, 0, 25, -48, 0, 10, -24, 0, 256, -2, 0, -16, 56, 0, 6, 0, 0, 16, -88, 0, 88, -46, 0, -64, 56, 0, 0, 38, 0, 48, 12, 0, -40, 16, 0, -4, -16, 0, 108], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, 6, 67, 332, 2208, 9290, 47137, 169446, 715203, 2202798, 7966153, 20410130, 63062688, 123269276, 323396203, 376491102, 815730721], 'euler17': [1, 8, 102, 612, 4776, 23500, 139644, 580348, 2826809, 9865916, 40357116, 115455500, 398896296, 868952484, 2462032038, 3282709384, 6975757441], 'euler19': [1, -2, 61, -58, 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False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '16-5445e8-1.1-c1e8-0-2', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__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, 1, 1, 1, 1, 1], 'order_of_vanishing': 8, 'prelabel': '16-5445e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.593826195812807, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 191754570435247965, 'z1': {'__RealLiteral__': 0, 'data': '1.00354310364536232533104100791', 'prec': 103}}
-
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{'Lhash': '1272142017690943780844414368557,1339420562744822771096128639844,1486084097000917913903248572430,1662132260560493149704020548869,1690560534688644261314820859202,1702343217699930122032328059926,1723189904516792226014734133834,2489767441380764500724653320211', 'Lhash_array': ['1272142017690943780844414368557', '1339420562744822771096128639844', '1486084097000917913903248572430', '1662132260560493149704020548869', '1690560534688644261314820859202', '1702343217699930122032328059926', '1723189904516792226014734133834', '2489767441380764500724653320211'], 'label': '16-5445e8-1.1-c1e8-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5445/2/a/cb'}