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lfunc_lfunctions • Show schema
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{'Lhash': '55799119365249795756048493733,418517256633803754947220958614,1639733572553458729068755703943,1872655169911702125905133809591,2441770168261459960273665029138,3416634190804399648680747263582', 'a10': 18, 'a2': 3, 'a3': 0, 'a4': 6, 'a5': 6, 'a6': 0, 'a7': 0, 'a8': 9, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1390022.1065305176, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [7, [1]]], 'bad_primes': [3, 7], 'central_character': '1323.1', 'coefficient_field': '1.1.1.1', 'conductor': 5362398255800861289, 'conductor_radical': 21, 'degree': 12, 'euler_factors': [[1, -3, 3, 0, -3, 6, -11, 12, -12, 0, 48, -96, 64], [1], [1, -6, 39, -144, 537, -1410, 3679, -7050, 13425, -18000, 24375, -18750, 15625], [1], [1, 12, 120, 774, 4308, 18336, 68407, 201696, 521268, 1030194, 1756920, 1932612, 1771561], [1, 3, 3, 76, 45, -135, 3246, -1755, 7605, 166972, 85683, 1113879, 4826809], [1, 6, -24, -54, 1338, 1914, 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{'__RealLiteral__': 0, 'data': '0.33015190191875693820466365416', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.29352171036580509115759195581', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 1390022.1065305176, 'bad_primes': [3, 7], 'central_character': '1.1', 'conductor': 5362398255800861289, 'conductor_radical': 21, 'degree': 12, 'dirichlet_coefficients': [1, 3, 0, 6, 6, 0, 0, 9, 0, 18, -12, 0, -3, 0, 0, 12, -6, 0, -3, 36, 0, -36, -24, 0, -3, -9, 0, 0, 9, 0, -3, 12, 0, -18, 0, 0, 3, -9, 0, 54, 0, 0, 3, -72, 0, -72, -3, 0, 0, -9, 0, -18, 6, 0, -72, 0, 0, 27, 3, 0, 6, -9, 0, 11, -18, 0, 12, -36, 0, 0, -18, 0, -21, 9, 0, -18, 0, 0, 21, 72, 0, 0, 18, 0, -36, 9, 0, -108, -12, 0, 0, -144, 0, -9, -18, 0, -3, 0, 0, -18], 'euler11': [1, 12, 120, 774, 4308, 18336, 68407, 201696, 521268, 1030194, 1756920, 1932612, 1771561], 'euler13': [1, 3, 3, 76, 45, -135, 3246, -1755, 7605, 166972, 85683, 1113879, 4826809], 'euler17': [1, 6, -24, -54, 1338, 1914, -18929, 32538, 386682, -265302, -2004504, 8519142, 24137569], 'euler19': [1, 3, -42, -41, 1341, 216, -29541, 4104, 484101, -281219, -5473482, 7428297, 47045881], 'euler2': [1, -3, 3, 0, -3, 6, 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False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '12-1323e6-1.1-c1e6-0-0', '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': '12-1323e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.250262787439717, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 123825236753422241, 'z1': {'__RealLiteral__': 0, 'data': '0.04401774381300624354247997699', 'prec': 103}}
-
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{'Lhash': '55799119365249795756048493733,418517256633803754947220958614,1639733572553458729068755703943,1872655169911702125905133809591,2441770168261459960273665029138,3416634190804399648680747263582', 'Lhash_array': ['55799119365249795756048493733', '418517256633803754947220958614', '1639733572553458729068755703943', '1872655169911702125905133809591', '2441770168261459960273665029138', '3416634190804399648680747263582'], 'label': '12-1323e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1323/2/g/e'}