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{'algebraic': True, 'analytic_conductor': 3597.351474464519, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 36864, 'conductor_radical': 6, 'degree': 4, 'dirichlet_coefficients': [1, 0, -54, 0, -196, 0, 504, 0, 2187, 0, -1656, 0, -6156, 0, 10584, 0, 17108, 0, 504, 0, -27216, 0, 51552, 0, -21454, 0, -78732, 0, 199804, 0, 257256, 0, 89424, 0, -98784, 0, 468724, 0, 332424, 0, -106940, 0, -1617336, 0, -428652, 0, 646416, 0, -502718, 0, -923832, 0, -1469492, 0, 324576, 0, -27216, 0, -4541544, 0, 481412, 0, 1102248, 0, 1206576, 0, -4775256, 0, -2783808, 0, -1094400, 0, -5731884, 0, 1158516, 0, -834624, 0, -10402776, 0, 2657205, 0, -2212200, 0, -3353168, 0, -10789416, 0, -3604364, 0, -3102624, 0, -13891824, 0, -98784, 0, -7156188, 0, -3621672, 0], 'euler11': [1, 1656, 35844502, 32270755176, 379749833583241], 'euler13': [1, 6156, 134547182, 386279870652, 3937376385699289], 'euler17': [1, -17108, 486445766, -7020074017684, 168377826559400929], 'euler19': [1, -504, -230552314, 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4775256, 15866190670886, 28941449457588287688, 36732225162896895721934329], 'euler7': [1, -504, 756734, -415065672, 678223072849], 'euler71': [1, 1094400, 3637256504686, 9953699501343110400, 82721210695570328927708881], 'euler73': [1, 5731884, 27199585978454, 63322406813235788748, 122045014039746588673695409], 'euler79': [1, 10402776, 57467964116462, 199773963507399177384, 368790120348678391253573281], 'euler83': [1, 2212200, 33756154600198, 60030371999252849400, 736365263311636486061599129], 'euler89': [1, 3604364, 80061377244278, 159425831169388488556, 1956410986640441413344189841], 'euler97': [1, 7156188, 162174325590662, 578207713802858513244, 6528362774606076144776040769], 'euler_factors': [[1, 0, 0, 0, 0], [1, 54, 729, 0, 0], [1, 196, 59870, 15312500, 6103515625], [1, -504, 756734, -415065672, 678223072849], [1, 1656, 35844502, 32270755176, 379749833583241], [1, 6156, 134547182, 386279870652, 3937376385699289], [1, -17108, 486445766, -7020074017684, 168377826559400929], [1, -504, -230552314, -450511356456, 799006685782884121], [1, -51552, 7470237646, -175525561443744, 11592836324538749809], [1, -199804, 32156236718, -3446594286043436, 297558232675799463481], [1, -257256, 69638832206, -7077785055739416, 756943935220796320321], [1, -468724, 243553103934, -44496849177288292, 9012061295995008299689], [1, 106940, 285959228726, 20827022048834140, 37929227194915558802161], [1, 1617336, 1147122174038, 439622025213350952, 73885357344138503765449], [1, -646416, 220226541790, -327489291037210608, 256666986187667409334369], [1, 1469492, 1664819509406, 1726228622301352804, 1379946262057143768386569], [1, 4541544, 9906553362358, 11302320218970820536, 6193386212891813387462761], [1, -481412, 286057908078, -1512954114174541652, 9876832533361318095112441], [1, 4775256, 15866190670886, 28941449457588287688, 36732225162896895721934329], [1, 1094400, 3637256504686, 9953699501343110400, 82721210695570328927708881], [1, 5731884, 27199585978454, 63322406813235788748, 122045014039746588673695409], [1, 10402776, 57467964116462, 199773963507399177384, 368790120348678391253573281], [1, 2212200, 33756154600198, 60030371999252849400, 736365263311636486061599129], [1, 3604364, 80061377244278, 159425831169388488556, 1956410986640441413344189841], [1, 7156188, 162174325590662, 578207713802858513244, 6528362774606076144776040769]], 'id': 20192802, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/192/8/a/q'], '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': '4-192e2-1.1-c7e2-0-5', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7, 7], 'order_of_vanishing': 2, 'prelabel': '4-192e2-1.1-c7e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.7445416192923515, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7e2-0', 'trace_hash': 1918663157790010098, 'z1': {'__RealLiteral__': 0, 'data': '1.23498449453113110289646965218', 'prec': 103}}