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{'__RealLiteral__': 0, 'data': '1.54088698623920149509906363900', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.78396757973552578333510768553', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 5.9997439087073205, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 1475789056, 'conductor_radical': 14, 'degree': 8, 'dirichlet_coefficients': [1, -2, 0, 2, 6, 0, 0, -4, 3, -12, 0, 0, 0, 0, 0, 8, 6, -6, 0, 12, 0, 0, 0, 0, 11, 0, 0, 0, 16, 0, 0, -8, 0, -12, 0, 6, -6, 0, 0, -24, 0, 0, 0, 0, 18, 0, 0, 0, 0, -22, 0, 0, 2, 0, 0, 0, 0, -32, 0, 0, 18, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, -12, -30, 12, 0, 0, 0, 0, 0, 48, 9, 0, 0, 0, 36, 0, 0, 0, -54, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22], 'euler11': [1, 0, 21, 0, 320, 0, 2541, 0, 14641], 'euler13': [1, 0, -28, 0, 534, 0, -4732, 0, 28561], 'euler17': [1, -6, 49, -222, 1284, -3774, 14161, -29478, 83521], 'euler19': [1, 0, -11, 0, -240, 0, -3971, 0, 130321], 'euler2': [1, 2, 2, 4, 4, 0, 0, 0, 0], 'euler23': [1, 0, 45, 0, 1496, 0, 23805, 0, 279841], 'euler29': [1, -16, 212, -1648, 10870, -47792, 178292, -390224, 707281], 'euler3': [1, 0, -3, 0, 0, 0, -27, 0, 81], 'euler31': [1, 0, -59, 0, 2520, 0, -56699, 0, 923521], 'euler37': [1, 6, -47, 54, 4188, 1998, -64343, 303918, 1874161], 'euler41': [1, 0, -140, 0, 8262, 0, -235340, 0, 2825761], 'euler43': [1, 0, -164, 0, 10422, 0, -303236, 0, 3418801], 'euler47': [1, 0, -19, 0, -1848, 0, -41971, 0, 4879681], 'euler5': [1, -6, 25, -78, 204, -390, 625, -750, 625], 'euler53': [1, -2, -103, -2, 8428, -106, -289327, -297754, 7890481], 'euler59': [1, 0, -91, 0, 4800, 0, -316771, 0, 12117361], 'euler61': [1, -18, 257, -2682, 25068, -163602, 956297, -4085658, 13845841], 'euler67': [1, 0, 125, 0, 11136, 0, 561125, 0, 20151121], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 0, 108, 0, 12998, 0, 544428, 0, 25411681], 'euler73': [1, 30, 521, 6630, 65412, 483990, 2776409, 11670510, 28398241], 'euler79': [1, 0, 77, 0, -312, 0, 480557, 0, 38950081], 'euler83': [1, 0, -52, 0, 14454, 0, -358228, 0, 47458321], 'euler89': [1, 54, 1393, 22734, 255828, 2023326, 11033953, 38068326, 62742241], 'euler97': [1, 0, 212, 0, 30054, 0, 1994708, 0, 88529281], 'euler_factors': [[1, 2, 2, 4, 4, 0, 0, 0, 0], [1, 0, -3, 0, 0, 0, -27, 0, 81], [1, -6, 25, -78, 204, -390, 625, -750, 625], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 21, 0, 320, 0, 2541, 0, 14641], [1, 0, -28, 0, 534, 0, -4732, 0, 28561], [1, -6, 49, -222, 1284, -3774, 14161, -29478, 83521], [1, 0, -11, 0, -240, 0, -3971, 0, 130321], [1, 0, 45, 0, 1496, 0, 23805, 0, 279841], [1, -16, 212, -1648, 10870, -47792, 178292, -390224, 707281], [1, 0, -59, 0, 2520, 0, -56699, 0, 923521], [1, 6, -47, 54, 4188, 1998, -64343, 303918, 1874161], [1, 0, -140, 0, 8262, 0, -235340, 0, 2825761], [1, 0, -164, 0, 10422, 0, -303236, 0, 3418801], [1, 0, -19, 0, -1848, 0, -41971, 0, 4879681], [1, -2, -103, -2, 8428, -106, -289327, -297754, 7890481], [1, 0, -91, 0, 4800, 0, -316771, 0, 12117361], [1, -18, 257, -2682, 25068, -163602, 956297, -4085658, 13845841], [1, 0, 125, 0, 11136, 0, 561125, 0, 20151121], [1, 0, 108, 0, 12998, 0, 544428, 0, 25411681], [1, 30, 521, 6630, 65412, 483990, 2776409, 11670510, 28398241], [1, 0, 77, 0, -312, 0, 480557, 0, 38950081], [1, 0, -52, 0, 14454, 0, -358228, 0, 47458321], [1, 54, 1393, 22734, 255828, 2023326, 11033953, 38068326, 62742241], [1, 0, 212, 0, 30054, 0, 1994708, 0, 88529281]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/196/2/f/a'], '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': '8-14e8-1.1-c1e4-0-3', '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': '8-14e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.251026730176896, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1624831339589795009, 'z1': {'__RealLiteral__': 0, 'data': '1.06675956187295801218069986067', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1352278398907458244262822025767,1953306312989991233426656786545,2261447573239440953572780461722,3841856475802216625777430892497', 'Lhash_array': ['1352278398907458244262822025767', '1953306312989991233426656786545', '2261447573239440953572780461722', '3841856475802216625777430892497'], 'label': '8-14e8-1.1-c1e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/196/2/f/a'}