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{'Lhash': '820610985907427280128473242378,988043428141076019802323870112,1689060058222346072283972896712,1760103458865890518874438802520', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7160.0877433421, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '1152.1', 'coefficient_field': '1.1.1.1', 'conductor': 1761205026816, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1], [1, 0, -8, 0, 34, 0, -200, 0, 625], [1, 0, -4, 0, -26, 0, -196, 0, 2401], [1, 0, 28, 0, 438, 0, 3388, 0, 14641], [1, 0, 36, 0, 662, 0, 6084, 0, 28561], [1, 0, -32, 0, 706, 0, -9248, 0, 83521], [1, 0, -12, 0, 758, 0, -4332, 0, 130321], [1, -16, 172, -1232, 6918, -28336, 90988, -194672, 279841], [1, 0, -104, 0, 4354, 0, -87464, 0, 707281], [1, 0, -36, 0, 1094, 0, -34596, 0, 923521], [1, 8, 108, 664, 6038, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7160.0877433421, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 1761205026816, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0], 'euler11': [1, 0, 28, 0, 438, 0, 3388, 0, 14641], 'euler13': [1, 0, 36, 0, 662, 0, 6084, 0, 28561], 'euler17': [1, 0, -32, 0, 706, 0, -9248, 0, 83521], 'euler19': [1, 0, -12, 0, 758, 0, -4332, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -16, 172, -1232, 6918, -28336, 90988, -194672, 279841], 'euler29': [1, 0, -104, 0, 4354, 0, -87464, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, -36, 0, 1094, 0, -34596, 0, 923521], 'euler37': [1, 8, 108, 664, 6038, 24568, 147852, 405224, 1874161], 'euler41': [1, 0, -128, 0, 7330, 0, -215168, 0, 2825761], 'euler43': [1, 0, -76, 0, 3094, 0, -140524, 0, 3418801], 'euler47': [1, -16, 140, -1360, 11878, -63920, 309260, -1661168, 4879681], 'euler5': [1, 0, -8, 0, 34, 0, -200, 0, 625], 'euler53': [1, 0, -104, 0, 7522, 0, -292136, 0, 7890481], 'euler59': [1, -32, 556, -6688, 59670, -394592, 1935436, -6572128, 12117361], 'euler61': [1, -8, 204, -1240, 18230, -75640, 759084, -1815848, 13845841], 'euler67': [1, 0, 20, 0, 9078, 0, 89780, 0, 20151121], 'euler7': [1, 0, -4, 0, -26, 0, -196, 0, 2401], 'euler71': [1, -16, 236, -2512, 26566, -178352, 1189676, -5726576, 25411681], 'euler73': [1, -16, 388, -3760, 46246, -274480, 2067652, -6224272, 28398241], 'euler79': [1, 0, -164, 0, 18054, 0, -1023524, 0, 38950081], 'euler83': [1, 32, 700, 9760, 105558, 810080, 4822300, 18297184, 47458321], 'euler89': [1, 0, -192, 0, 20450, 0, -1520832, 0, 62742241], 'euler97': [1, -32, 708, -10336, 119558, -1002592, 6661572, -29205536, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -8, 0, 34, 0, -200, 0, 625], [1, 0, -4, 0, -26, 0, -196, 0, 2401], [1, 0, 28, 0, 438, 0, 3388, 0, 14641], [1, 0, 36, 0, 662, 0, 6084, 0, 28561], [1, 0, -32, 0, 706, 0, -9248, 0, 83521], [1, 0, -12, 0, 758, 0, -4332, 0, 130321], [1, -16, 172, -1232, 6918, -28336, 90988, -194672, 279841], [1, 0, -104, 0, 4354, 0, -87464, 0, 707281], [1, 0, -36, 0, 1094, 0, -34596, 0, 923521], [1, 8, 108, 664, 6038, 24568, 147852, 405224, 1874161], [1, 0, -128, 0, 7330, 0, -215168, 0, 2825761], [1, 0, -76, 0, 3094, 0, -140524, 0, 3418801], [1, -16, 140, -1360, 11878, -63920, 309260, -1661168, 4879681], [1, 0, -104, 0, 7522, 0, -292136, 0, 7890481], [1, -32, 556, -6688, 59670, -394592, 1935436, -6572128, 12117361], [1, -8, 204, -1240, 18230, -75640, 759084, -1815848, 13845841], [1, 0, 20, 0, 9078, 0, 89780, 0, 20151121], [1, -16, 236, -2512, 26566, -178352, 1189676, -5726576, 25411681], [1, -16, 388, -3760, 46246, -274480, 2067652, -6224272, 28398241], [1, 0, -164, 0, 18054, 0, -1023524, 0, 38950081], [1, 32, 700, 9760, 105558, 810080, 4822300, 18297184, 47458321], [1, 0, -192, 0, 20450, 0, -1520832, 0, 62742241], [1, -32, 708, -10336, 119558, -1002592, 6661572, -29205536, 88529281]], 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1152/2/c/d'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, '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': '8-1152e4-1.1-c1e4-0-13', '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}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-1152e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.0329468034984566, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2004934812423585980, 'z1': {'__RealLiteral__': 0, 'data': '0.64734792517724004595993496822', 'prec': 103}}
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{'Lhash': '820610985907427280128473242378,988043428141076019802323870112,1689060058222346072283972896712,1760103458865890518874438802520', 'Lhash_array': ['820610985907427280128473242378', '988043428141076019802323870112', '1689060058222346072283972896712', '1760103458865890518874438802520'], 'factors': ['2-1152-12.11-c1-0-3', '2-1152-12.11-c1-0-5', '2-1152-12.11-c1-0-10', '2-1152-12.11-c1-0-11'], 'label': '8-1152e4-1.1-c1e4-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1152/2/c/d'}