Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 359.95406846810107, 'bad_primes': [2, 3, 11], 'central_character': '1.1', 'conductor': 5645376, 'conductor_radical': 66, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, -10, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, -6, 0, 0, 0, 4, 0, 4, 0, 0, 0, 2, 0, -7, 0, 0, 0, 8, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0], 'euler11': [1, -2, 1, 0, 0], 'euler13': [1, 0, 26, 0, 169], 'euler17': [1, -4, 31, -68, 289], 'euler19': [1, 0, 10, 0, 361], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, -6, 27, -138, 529], 'euler29': [1, -8, 67, -232, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, -8, 50, -248, 961], 'euler37': [1, 6, 55, 222, 1369], 'euler41': [1, -4, 23, -164, 1681], 'euler43': [1, -4, 83, -172, 1849], 'euler47': [1, -2, 67, -94, 2209], 'euler5': [1, 0, 10, 0, 25], 'euler53': [1, -8, 122, -424, 2809], 'euler59': [1, -14, 167, -826, 3481], 'euler61': [1, 0, 10, 0, 3721], 'euler67': [1, -16, 170, -1072, 4489], 'euler7': [1, 0, 7, 0, 49], 'euler71': [1, -8, 46, -568, 5041], 'euler73': [1, 8, 50, 584, 5329], 'euler79': [1, 8, 111, 632, 6241], 'euler83': [1, -16, 230, -1328, 6889], 'euler89': [1, -16, 214, -1424, 7921], 'euler97': [1, 6, 91, 582, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 10, 0, 25], [1, 0, 7, 0, 49], [1, -2, 1, 0, 0], [1, 0, 26, 0, 169], [1, -4, 31, -68, 289], [1, 0, 10, 0, 361], [1, -6, 27, -138, 529], [1, -8, 67, -232, 841], [1, -8, 50, -248, 961], [1, 6, 55, 222, 1369], [1, -4, 23, -164, 1681], [1, -4, 83, -172, 1849], [1, -2, 67, -94, 2209], [1, -8, 122, -424, 2809], [1, -14, 167, -826, 3481], [1, 0, 10, 0, 3721], [1, -16, 170, -1072, 4489], [1, -8, 46, -568, 5041], [1, 8, 50, 584, 5329], [1, 8, 111, 632, 6241], [1, -16, 230, -1328, 6889], [1, -16, 214, -1424, 7921], [1, 6, 91, 582, 9409]], 'id': 20375683, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2376/2/a/j'], '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': '4-2376e2-1.1-c1e2-0-11', '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': '4-2376e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.355738229078537, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 238606371249604189, 'z1': {'__RealLiteral__': 0, 'data': '0.78734255291912420635360147050', 'prec': 103}}