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{'__RealLiteral__': 0, 'data': '1.15936733279726361671232939108', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 52981.327022840225, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 13032100000000, 'conductor_radical': 190, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -2, 0, -12, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, -2, 0, 9, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0], 'euler11': [1, 12, 98, 504, 1995, 5544, 11858, 15972, 14641], 'euler13': [1, 0, -10, 0, -69, 0, -1690, 0, 28561], 'euler17': [1, 0, 30, 0, 611, 0, 8670, 0, 83521], 'euler19': [1, 14, 87, 266, 361, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 30, 0, 371, 0, 15870, 0, 279841], 'euler29': [1, -2, -55, -2, 2524, -58, -46255, -48778, 707281], 'euler3': [1, 0, 2, 0, -5, 0, 18, 0, 81], 'euler31': [1, 20, 274, 2360, 15691, 73160, 263314, 595820, 923521], 'euler37': [1, 0, -116, 0, 6102, 0, -158804, 0, 1874161], 'euler41': [1, 4, -70, 16, 5059, 656, -117670, 275684, 2825761], 'euler43': [1, 0, 86, 0, 5547, 0, 159014, 0, 3418801], 'euler47': [1, 0, 58, 0, 1155, 0, 128122, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 70, 0, 2091, 0, 196630, 0, 7890481], 'euler59': [1, 2, -115, 2, 10444, 118, -400315, 410758, 12117361], 'euler61': [1, -14, 25, -686, 13564, -41846, 93025, -3177734, 13845841], 'euler67': [1, 0, -62, 0, -645, 0, -278318, 0, 20151121], 'euler7': [1, 0, 4, 0, 102, 0, 196, 0, 2401], 'euler71': [1, 30, 533, 6750, 65748, 479250, 2686853, 10737330, 25411681], 'euler73': [1, 0, 2, 0, -5325, 0, 10658, 0, 28398241], 'euler79': [1, 2, -155, 2, 18724, 158, -967355, 986078, 38950081], 'euler83': [1, 0, 180, 0, 21878, 0, 1240020, 0, 47458321], 'euler89': [1, -34, 689, -9826, 107284, -874514, 5457569, -23968946, 62742241], 'euler97': [1, 0, 50, 0, -6909, 0, 470450, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 2, 0, -5, 0, 18, 0, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 4, 0, 102, 0, 196, 0, 2401], [1, 12, 98, 504, 1995, 5544, 11858, 15972, 14641], [1, 0, -10, 0, -69, 0, -1690, 0, 28561], [1, 0, 30, 0, 611, 0, 8670, 0, 83521], [1, 14, 87, 266, 361, 0, 0, 0, 0], [1, 0, 30, 0, 371, 0, 15870, 0, 279841], [1, -2, -55, -2, 2524, -58, -46255, -48778, 707281], [1, 20, 274, 2360, 15691, 73160, 263314, 595820, 923521], [1, 0, -116, 0, 6102, 0, -158804, 0, 1874161], [1, 4, -70, 16, 5059, 656, -117670, 275684, 2825761], [1, 0, 86, 0, 5547, 0, 159014, 0, 3418801], [1, 0, 58, 0, 1155, 0, 128122, 0, 4879681], [1, 0, 70, 0, 2091, 0, 196630, 0, 7890481], [1, 2, -115, 2, 10444, 118, -400315, 410758, 12117361], [1, -14, 25, -686, 13564, -41846, 93025, -3177734, 13845841], [1, 0, -62, 0, -645, 0, -278318, 0, 20151121], [1, 30, 533, 6750, 65748, 479250, 2686853, 10737330, 25411681], [1, 0, 2, 0, -5325, 0, 10658, 0, 28398241], [1, 2, -155, 2, 18724, 158, -967355, 986078, 38950081], [1, 0, 180, 0, 21878, 0, 1240020, 0, 47458321], [1, -34, 689, -9826, 107284, -874514, 5457569, -23968946, 62742241], [1, 0, 50, 0, -6909, 0, 470450, 0, 88529281]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1900/2/s/b'], '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': '8-1900e4-1.1-c1e4-0-0', '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}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-1900e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.8950707803637252, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2298329277321611306, 'z1': {'__RealLiteral__': 0, 'data': '0.18587966166460704873263648031', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '235630464679359328022278827240,402330087561427854465351588006,1469672695305452614562702980086,2699016532468592097972479553854', 'Lhash_array': ['235630464679359328022278827240', '402330087561427854465351588006', '1469672695305452614562702980086', '2699016532468592097972479553854'], 'label': '8-1900e4-1.1-c1e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1900/2/s/b'}