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{'algebraic': True, 'analytic_conductor': 5.026889454966048, 'bad_primes': [2, 19], 'central_character': '1.1', 'conductor': 1444, 'conductor_radical': 38, 'degree': 4, 'dirichlet_coefficients': [1, 4, 9, 12, -9, 36, -18, 32, 25, -36, -17, 108, 17, -72, -81, 80, -80, 100, 38, -108, -162, -68, 73, 288, -25, 68, -36, -216, 3, -324, 212, 192, -153, -320, 162, 300, 192, 152, 153, -288, -50, -648, 677, -204, -225, 292, -389, 720, -151, -100, -720, 204, -1219, -144, 153, -576, 342, 12, -287, -972, 313, 848, -450, 448, -153, -612, 1223, -960, 657, 648, 200, 800, 378, 768, -225, 456, 306, 612, 1350, -720, -266, -200, -670, -1944, 720, 2708, 27, -544, -236, -900, -306, 876, 1908, -1556, -342, 1728, 1294, -604, -425, -300], 'euler11': [1, 17, 2716, 22627, 1771561], 'euler13': [1, -17, 1382, -37349, 4826809], 'euler17': [1, 80, 11353, 393040, 24137569], 'euler19': [1, -38, 361, 0, 0], 'euler2': [1, -4, 4, 0, 0], 'euler23': [1, -73, 22582, -888191, 148035889], 'euler29': [1, -3, 40732, -73167, 594823321], 'euler3': [1, -9, 56, -243, 729], 'euler31': [1, -212, 35486, -6315692, 887503681], 'euler37': [1, -192, 96214, -9725376, 2565726409], 'euler41': [1, 50, 136642, 3446050, 4750104241], 'euler43': [1, -677, 272702, -53826239, 6321363049], 'euler47': [1, 389, 153478, 40387147, 10779215329], 'euler5': [1, 9, 106, 1125, 15625], 'euler53': [1, 1219, 663970, 181481063, 22164361129], 'euler59': [1, 287, 419944, 58943773, 42180533641], 'euler61': [1, -313, 253596, -71045053, 51520374361], 'euler67': [1, -1223, 867254, -367833149, 90458382169], 'euler7': [1, 18, 475, 6174, 117649], 'euler71': [1, -200, 480250, -71582200, 128100283921], 'euler73': [1, -378, 195883, -147048426, 151334226289], 'euler79': [1, -1350, 1380310, -665602650, 243087455521], 'euler83': [1, 670, 568942, 383097290, 326940373369], 'euler89': [1, 236, 778834, 166372684, 496981290961], 'euler97': [1, -1294, 2054082, -1180998862, 832972004929], 'euler_factors': [[1, -4, 4, 0, 0], [1, -9, 56, -243, 729], [1, 9, 106, 1125, 15625], [1, 18, 475, 6174, 117649], [1, 17, 2716, 22627, 1771561], [1, -17, 1382, -37349, 4826809], [1, 80, 11353, 393040, 24137569], [1, -38, 361, 0, 0], [1, -73, 22582, -888191, 148035889], [1, -3, 40732, -73167, 594823321], [1, -212, 35486, -6315692, 887503681], [1, -192, 96214, -9725376, 2565726409], [1, 50, 136642, 3446050, 4750104241], [1, -677, 272702, -53826239, 6321363049], [1, 389, 153478, 40387147, 10779215329], [1, 1219, 663970, 181481063, 22164361129], [1, 287, 419944, 58943773, 42180533641], [1, -313, 253596, -71045053, 51520374361], [1, -1223, 867254, -367833149, 90458382169], [1, -200, 480250, -71582200, 128100283921], [1, -378, 195883, -147048426, 151334226289], [1, -1350, 1380310, -665602650, 243087455521], [1, 670, 568942, 383097290, 326940373369], [1, 236, 778834, 166372684, 496981290961], [1, -1294, 2054082, -1180998862, 832972004929]], 'id': 9622226, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/38/4/a/c'], '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': '4-38e2-1.1-c3e2-0-3', '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': 0, 'prelabel': '4-38e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.4973551950750177, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 6356589279097825, 'z1': {'__RealLiteral__': 0, 'data': '2.55507133412447475098459378132', 'prec': 103}}