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{'algebraic': True, 'analytic_conductor': 3141.80590935378, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 902500, 'conductor_radical': 190, 'degree': 4, 'dirichlet_coefficients': [1, -4, 0, 12, 0, 0, -24, -32, -20, 0, 52, 0, -44, 96, 0, 80, -100, 80, 38, 0, 0, -208, -16, 0, 0, 176, 0, -288, -12, 0, -16, -192, 0, 400, 0, -240, -36, -152, 0, 0, 148, 0, 472, 624, 0, 64, -376, 0, -118, 0, 0, -528, -116, 0, 0, 768, 0, 48, 112, 0, -680, 64, 480, 448, 0, 0, 208, -1200, 0, 0, -616, 640, 1332, 144, 0, 456, -1248, 0, 216, 0, -329, -592, 40, 0, 0, -1888, 0, -1664, 484, 0, 1056, -192, 0, 1504, 0, 0, -556, 472, -1040, 0], 'euler11': [1, -52, 3202, -69212, 1771561], 'euler13': [1, 44, 4028, 96668, 4826809], 'euler17': [1, 100, 12190, 491300, 24137569], 'euler19': [1, -38, 361, 0, 0], 'euler2': [1, 4, 4, 0, 0], 'euler23': [1, 16, 22222, 194672, 148035889], 'euler29': [1, 12, 37798, 292668, 594823321], 'euler3': [1, 0, 20, 0, 729], 'euler31': [1, 16, 46046, 476656, 887503681], 'euler37': [1, 36, 68956, 1823508, 2565726409], 'euler41': [1, -148, 120334, -10200308, 4750104241], 'euler43': [1, -472, 191726, -37527304, 6321363049], 'euler47': [1, 376, 220006, 39037448, 10779215329], 'euler5': [1, 0, 0, 0, 0], 'euler53': [1, 116, 226012, 17269732, 22164361129], 'euler59': [1, -112, 185278, -23002448, 42180533641], 'euler61': [1, 680, 525498, 154347080, 51520374361], 'euler67': [1, -208, 305492, -62558704, 90458382169], 'euler7': [1, 24, 694, 8232, 117649], 'euler71': [1, 616, 797086, 220473176, 128100283921], 'euler73': [1, -1332, 1214926, -518170644, 151334226289], 'euler79': [1, -216, 697318, -106496424, 243087455521], 'euler83': [1, -40, -7130, -22871480, 326940373369], 'euler89': [1, -484, 1445518, -341204996, 496981290961], 'euler97': [1, 556, 1850916, 507446188, 832972004929], 'euler_factors': [[1, 4, 4, 0, 0], [1, 0, 20, 0, 729], [1, 0, 0, 0, 0], [1, 24, 694, 8232, 117649], [1, -52, 3202, -69212, 1771561], [1, 44, 4028, 96668, 4826809], [1, 100, 12190, 491300, 24137569], [1, -38, 361, 0, 0], [1, 16, 22222, 194672, 148035889], [1, 12, 37798, 292668, 594823321], [1, 16, 46046, 476656, 887503681], [1, 36, 68956, 1823508, 2565726409], [1, -148, 120334, -10200308, 4750104241], [1, -472, 191726, -37527304, 6321363049], [1, 376, 220006, 39037448, 10779215329], [1, 116, 226012, 17269732, 22164361129], [1, -112, 185278, -23002448, 42180533641], [1, 680, 525498, 154347080, 51520374361], [1, -208, 305492, -62558704, 90458382169], [1, 616, 797086, 220473176, 128100283921], [1, -1332, 1214926, -518170644, 151334226289], [1, -216, 697318, -106496424, 243087455521], [1, -40, -7130, -22871480, 326940373369], [1, -484, 1445518, -341204996, 496981290961], [1, 556, 1850916, 507446188, 832972004929]], 'id': 20185391, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/950/4/a/f'], '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': '4-950e2-1.1-c3e2-0-5', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3], 'order_of_vanishing': 2, 'prelabel': '4-950e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.486775975375089, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 583943721307371371, 'z1': {'__RealLiteral__': 0, 'data': '0.971540451772281909162407545151', 'prec': 107}}