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{'Lhash': '570100416606240050644566068017,695536925562091034288442291497,1695046197426424053341254353148,2132611449652485954429008041993,2218233839056370249812966461640,2927138073080154930783864716643', 'a10': -8, 'a2': -1, 'a3': -3, 'a4': 4, 'a5': 8, 'a6': 3, 'a7': -10, 'a8': -5, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4402.611848897678, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 3, 6, 7, 6, 3, 1]], [13, [1]]], 'bad_primes': [3, 13], 'central_character': '507.1', 'coefficient_field': '1.1.1.1', 'conductor': 16984304054288649, 'conductor_radical': 39, 'degree': 12, 'euler_factors': [[1, 1, -3, -2, 5, 0, -11, 0, 20, -16, -48, 32, 64], [1, 3, 6, 7, 6, 3, 1], [1, -8, 52, -222, 816, -2324, 5811, -11620, 20400, -27750, 32500, -25000, 15625], [1, 10, 48, 182, 650, 1998, 5419, 13986, 31850, 62426, 115248, 168070, 117649], [1, -1, -2, -45, -3, 8, 2883, 88, -363, -59895, -29282, -161051, 1771561], [1], [1, -7, 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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4402.611848897678, 'bad_primes': [3, 13], 'central_character': '1.1', 'conductor': 16984304054288649, 'conductor_radical': 39, 'degree': 12, 'dirichlet_coefficients': [1, -1, -3, 4, 8, 3, -10, -5, 3, -8, 1, -12, 0, 10, -24, 10, 7, -3, -11, 32, 30, -1, -2, 15, 12, 0, 2, -40, 8, 24, 16, -12, -3, -7, -80, 12, -14, 11, 0, -40, -1, -30, 3, 4, 24, 2, -18, -30, 52, -12, -21, 0, -26, -2, 8, 50, 33, -8, 14, -96, 13, -16, -30, 23, 0, 3, -5, 28, 6, 80, 6, -15, 36, 14, -36, -44, -10, 0, -18, 80, -9, 1, -32, 120, 56, -3, -24, -5, 5, -24, 0, -8, -48, 18, -88, 36, -5, -52, 3, 48], 'euler11': [1, -1, -2, -45, -3, 8, 2883, 88, -363, -59895, -29282, -161051, 1771561], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, -7, -16, 35, 1405, -2478, -16135, -42126, 406045, 171955, -1336336, -9938999, 24137569], 'euler19': [1, 11, 54, 127, -139, -3600, -22229, -68400, -50179, 871093, 7037334, 27237089, 47045881], 'euler2': [1, 1, -3, -2, 5, 0, -11, 0, 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'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': '12-507e6-1.1-c1e6-0-2', '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}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-507e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.0120674398436345, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 539449683221919622, 'z1': {'__RealLiteral__': 0, 'data': '0.44972993071087447733884193620', 'prec': 103}}
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{'Lhash': '570100416606240050644566068017,695536925562091034288442291497,1695046197426424053341254353148,2132611449652485954429008041993,2218233839056370249812966461640,2927138073080154930783864716643', 'Lhash_array': ['570100416606240050644566068017', '695536925562091034288442291497', '1695046197426424053341254353148', '2132611449652485954429008041993', '2218233839056370249812966461640', '2927138073080154930783864716643'], 'label': '12-507e6-1.1-c1e6-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/507/2/e/j'}