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{'Lhash': '574944598896962763854815673225,617933022938104175388687432812,651613573414408873483985302040,945646289075219265328361522412,1401078235193153610061485442761', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': -4, 'a8': 0, 'a9': -6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2139560994.2825544, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1]], [23, [1, -5, 10, -10, 5, -1]]], 'bad_primes': [2, 5, 23], 'central_character': '9200.1', 'coefficient_field': '1.1.1.1', 'conductor': 65908152320000000000, 'conductor_radical': 230, 'degree': 10, 'euler_factors': [[1], [1, 0, 6, 3, 27, 6, 81, 27, 162, 0, 243], [1], [1, 4, 18, 36, 153, 312, 1071, 1764, 6174, 9604, 16807], [1, 0, 40, 6, 763, 108, 8393, 726, 53240, 0, 161051], [1, -4, 33, -117, 729, -2037, 9477, -19773, 72501, -114244, 371293], [1, -6, 37, -48, -230, 2220, -3910, -13872, 181781, -501126, 1419857], [1, 0, 80, 6, 2803, 204, 53257, 2166, 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'6.48717744011225849679098211344561', '6.66284433171686248837756576941402', '6.83644112582835739398011891624848', '6.88318721580808481909673077400064', '7.16508300278697643912790966359053', '7.36260973264409352740210097418104', '7.38355977819968294933734008333111', '7.76448442295839350842568388661376', '7.77937121235591503504730320648395', '7.82028329168418627104335784057487', '8.075095727597816126653359554086028'], 'prelabel': '10-9200e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e5-0', 'trace_hash': 312874531490734518, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.45355131673778959145975104487', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.48746320384090911180447617907', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.51403247337798881626771358821', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 2139560994.2825544, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 65908152320000000000, 'conductor_radical': 230, 'degree': 10, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -4, 0, -6, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 5, 0, 0, 0, -3, 0, 12, 0, 18, 0, 0, 0, 0, 0, 10, 0, 0, 0, -6, 0, -10, 0, 0, 0, -22, 0, -2, 0, 0, 0, 10, 0, 0, 0, 0, 0, 1, 0, 10, 0, 24, 0, 0, 0, -8, 0, 0, 0, -8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 9, 0, 2, 0, 0, 0, 0, 0, 14, 0, -16, 0, 0, 0, 0, 0, 6, 0, 0, 0], 'euler11': [1, 0, 40, 6, 763, 108, 8393, 726, 53240, 0, 161051], 'euler13': [1, -4, 33, -117, 729, -2037, 9477, -19773, 72501, -114244, 371293], 'euler17': [1, -6, 37, -48, -230, 2220, -3910, -13872, 181781, -501126, 1419857], 'euler19': [1, 0, 80, 6, 2803, 204, 53257, 2166, 548720, 0, 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, -12, 145, -1053, 8137, -43677, 235973, -885573, 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'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}], 'nu_real_doubled': [1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '10-9200e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e5-0', 'trace_hash': 312874531490734518, 'z1': {'__RealLiteral__': 0, 'data': '0.45355131673778959145975104487', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '574944598896962763854815673225,617933022938104175388687432812,651613573414408873483985302040,945646289075219265328361522412,1401078235193153610061485442761', 'Lhash_array': ['574944598896962763854815673225', '617933022938104175388687432812', '651613573414408873483985302040', '945646289075219265328361522412', '1401078235193153610061485442761'], 'label': '10-9200e5-1.1-c1e5-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9200/2/a/ct'}