Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 3212.3747533820165, 'bad_primes': [2, 3, 7, 13], 'central_character': '1.1', 'conductor': 50381604, 'conductor_radical': 546, 'degree': 4, 'dirichlet_coefficients': [1, 2, 2, 3, 0, 4, -2, 4, 3, 0, -8, 6, 0, -4, 0, 5, 6, 6, -8, 0, -4, -16, 8, 8, 2, 0, 4, -6, 16, 0, 6, 6, -16, 12, 0, 9, -4, -16, 0, 0, 0, -8, 2, -24, 0, 16, 8, 10, 3, 4, 12, 0, -20, 8, 0, -8, -16, 32, -16, 0, 0, 12, -6, 7, 0, -32, 4, 18, 16, 0, 10, 12, 8, -8, 4, -24, 16, 0, -12, 0, 5, 0, 0, -12, 0, 4, 32, -32, 20, 0, 0, 24, 12, 16, 0, 12, -4, 6, -24, 6], 'euler11': [1, 8, 38, 88, 121], 'euler13': [1, 0, 0, 0, 0], 'euler17': [1, -6, 31, -102, 289], 'euler19': [1, 8, 42, 152, 361], 'euler2': [1, -2, 1, 0, 0], 'euler23': [1, -8, 59, -184, 529], 'euler29': [1, -16, 122, -464, 841], 'euler3': [1, -2, 1, 0, 0], 'euler31': [1, -6, 59, -186, 961], 'euler37': [1, 4, 30, 148, 1369], 'euler41': [1, 0, 34, 0, 1681], 'euler43': [1, -2, 75, -86, 1849], 'euler47': [1, -8, 98, -376, 2209], 'euler5': [1, 0, -2, 0, 25], 'euler53': [1, 20, 203, 1060, 2809], 'euler59': [1, 16, 179, 944, 3481], 'euler61': [1, 0, 95, 0, 3721], 'euler67': [1, -4, 111, -268, 4489], 'euler7': [1, 2, 1, 0, 0], 'euler71': [1, -10, 119, -710, 5041], 'euler73': [1, -8, 114, -584, 5329], 'euler79': [1, 12, 182, 948, 6241], 'euler83': [1, 0, 163, 0, 6889], 'euler89': [1, -20, 275, -1780, 7921], 'euler97': [1, 4, 90, 388, 9409], 'euler_factors': [[1, -2, 1, 0, 0], [1, -2, 1, 0, 0], [1, 0, -2, 0, 25], [1, 2, 1, 0, 0], [1, 8, 38, 88, 121], [1, 0, 0, 0, 0], [1, -6, 31, -102, 289], [1, 8, 42, 152, 361], [1, -8, 59, -184, 529], [1, -16, 122, -464, 841], [1, -6, 59, -186, 961], [1, 4, 30, 148, 1369], [1, 0, 34, 0, 1681], [1, -2, 75, -86, 1849], [1, -8, 98, -376, 2209], [1, 20, 203, 1060, 2809], [1, 16, 179, 944, 3481], [1, 0, 95, 0, 3721], [1, -4, 111, -268, 4489], [1, -10, 119, -710, 5041], [1, -8, 114, -584, 5329], [1, 12, 182, 948, 6241], [1, 0, 163, 0, 6889], [1, -20, 275, -1780, 7921], [1, 4, 90, 388, 9409]], 'id': 21869128, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7098/2/a/bz'], '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': '4-7098e2-1.1-c1e2-0-4', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 0, 'prelabel': '4-7098e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.528466998978268, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 604371676423804398, 'z1': {'__RealLiteral__': 0, 'data': '0.63108740312207414908542673603', 'prec': 103}}