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{'Lhash': '275042107653255289695163559301,582199424273740973908041600090,743372400697726059837589236133,913527848731621607074687491996,1215153559294745435329644349649', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': -5, 'a6': 0, 'a7': -4, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1263389371.5139055, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1, 5, 10, 10, 5, 1]], [23, [1, -5, 10, -10, 5, -1]]], 'bad_primes': [2, 3, 5, 23], 'central_character': '8280.1', 'coefficient_field': '1.1.1.1', 'conductor': 38918104863436800000, 'conductor_radical': 690, 'degree': 10, 'euler_factors': [[1], [1], [1, 5, 10, 10, 5, 1], [1, 4, 16, 58, 195, 548, 1365, 2842, 5488, 9604, 16807], [1, -4, 9, -16, 100, -696, 1100, -1936, 11979, -58564, 161051], [1, -4, -1, 40, 84, -1192, 1092, 6760, -2197, -114244, 371293], [1, 10, 60, 96, -533, -4932, -9061, 27744, 294780, 835210, 1419857], [1, 4, 41, 184, 788, 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{'__RealLiteral__': 0, 'data': '0.58641742493072488737702014572', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1263389371.5139055, 'bad_primes': [2, 3, 5, 23], 'central_character': '1.1', 'conductor': 38918104863436800000, 'conductor_radical': 690, 'degree': 10, 'dirichlet_coefficients': [1, 0, 0, 0, -5, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, -10, 0, -4, 0, 0, 0, 5, 0, 15, 0, 0, 0, -10, 0, 6, 0, 0, 0, 20, 0, 6, 0, 0, 0, -12, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, -6, 0, 16, 0, 0, 0, -20, 0, -4, 0, 0, 0, -8, 0, 14, 0, 0, 0, -16, 0, 18, 0, 0, 0, 20, 0, 50, 0, 0, 0, -18, 0, -16, 0, 0, 0, 20, 0, 4, 0, 0, 0], 'euler11': [1, -4, 9, -16, 100, -696, 1100, -1936, 11979, -58564, 161051], 'euler13': [1, -4, -1, 40, 84, -1192, 1092, 6760, -2197, -114244, 371293], 'euler17': [1, 10, 60, 96, -533, -4932, -9061, 27744, 294780, 835210, 1419857], 'euler19': [1, 4, 41, 184, 788, 4616, 14972, 66424, 281219, 521284, 2476099], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -5, 10, -10, 5, -1, 0, 0, 0, 0, 0], 'euler29': [1, 10, 120, 688, 4759, 21660, 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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], 'order_of_vanishing': 0, 'prelabel': '10-8280e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.131182747523278, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e5-0', 'trace_hash': 139446338414032133, 'z1': {'__RealLiteral__': 0, 'data': '0.21696996601724194680165685759', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '275042107653255289695163559301,582199424273740973908041600090,743372400697726059837589236133,913527848731621607074687491996,1215153559294745435329644349649', 'Lhash_array': ['275042107653255289695163559301', '582199424273740973908041600090', '743372400697726059837589236133', '913527848731621607074687491996', '1215153559294745435329644349649'], 'label': '10-8280e5-1.1-c1e5-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8280/2/a/br'}