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{'Lhash': '263319734715451709599824581248,792244200491509730800614257654,1319455152800510788930824977996,1498760714936079727013952751073', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 6, 'a6': 0, 'a7': -6, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4914905.369695283, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '1728.1', 'coefficient_field': '1.1.1.1', 'conductor': 8916100448256, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1], [1, -6, 33, -126, 116, -3150, 20625, -93750, 390625], [1, 6, 25, -522, -4044, -25578, 60025, 705894, 5764801], [1, 18, 249, 2538, 18308, 307098, 3645609, 31888098, 214358881], [1, -14, -95, 658, 22996, 111202, -2713295, -67575326, 815730721], [1, 0, -516, 0, 135302, 0, -43096836, 0, 6975757441], [1, 8, 700, 5624, 389158, 2030264, 91224700, 376367048, 16983563041], [1, 30, 1401, 33030, 1091060, 17472870, 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'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.62497047715582913213327895865', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.04086658623673939089848364594', 'prec': 103}}
-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4914905.369695283, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 8916100448256, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 6, 0, -6, 0, 0, 0, -18, 0, 14, 0, 0, 0, 0, 0, -8, 0, 0, 0, -30, 0, 3, 0, 0, 0, 6, 0, 74, 0, 0, 0, -36, 0, 120, 0, 0, 0, 138, 0, -10, 0, 0, 0, -174, 0, 11, 0, 0, 0, 0, 0, -108, 0, 0, 0, -18, 0, 62, 0, 0, 0, 84, 0, 22, 0, 0, 0, 0, 0, 40, 0, 0, 0, 108, 0, -86, 0, 0, 0, -66, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, -48, 0, 242, 0, 0, 0], 'euler11': [1, 18, 249, 2538, 18308, 307098, 3645609, 31888098, 214358881], 'euler13': [1, -14, -95, 658, 22996, 111202, -2713295, -67575326, 815730721], 'euler17': [1, 0, -516, 0, 135302, 0, -43096836, 0, 6975757441], 'euler19': [1, 8, 700, 5624, 389158, 2030264, 91224700, 376367048, 16983563041], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 30, 1401, 33030, 1091060, 17472870, 392057241, 4441076670, 78310985281], 'euler29': [1, -6, 1409, 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'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-12e12-1.1-c2e4-0-10', 'motivic_weight': 2, '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}], 'nu_real_doubled': [2, 2, 2, 2], 'order_of_vanishing': 0, 'prelabel': '8-12e12-1.1-c2e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.861821163616792, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e4-0', 'trace_hash': 705852489702193334, 'z1': {'__RealLiteral__': 0, 'data': '0.20772264429018792308871420732', 'prec': 103}}
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{'Lhash': '263319734715451709599824581248,792244200491509730800614257654,1319455152800510788930824977996,1498760714936079727013952751073', 'Lhash_array': ['263319734715451709599824581248', '792244200491509730800614257654', '1319455152800510788930824977996', '1498760714936079727013952751073'], 'label': '8-12e12-1.1-c2e4-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1728/3/q/e'}