Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 8.401705687623501, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 131769, 'conductor_radical': 33, 'degree': 4, 'dirichlet_coefficients': [1, 1, 2, -2, -3, 2, 6, -3, 3, -3, 0, -4, 8, 6, -6, 1, 1, 3, 5, 6, 12, 0, -2, -6, -2, 8, 4, -12, 0, -6, -1, 2, 0, 1, -18, -6, -4, 5, 16, 9, -6, 12, 8, 0, -9, -2, 1, 2, 13, -2, 2, -16, -17, 4, 0, -18, 10, 0, 5, 12, 9, -1, 18, 1, -24, 0, 1, -2, -4, -18, 9, -9, -2, -4, -4, -10, 0, 16, 10, -3, 5, -6, -12, -24, -3, 8, 0, 0, 10, -9, 48, 4, -2, 1, -15, 4, 1, 13, 0, 4], 'euler11': [1, 0, 0, 0, 0], 'euler13': [1, -8, 37, -104, 169], 'euler17': [1, -1, 33, -17, 289], 'euler19': [1, -5, 33, -95, 361], 'euler2': [1, -1, 3, -2, 4], 'euler23': [1, 2, 27, 46, 529], 'euler29': [1, 0, 38, 0, 841], 'euler3': [1, -2, 1, 0, 0], 'euler31': [1, 1, 51, 31, 961], 'euler37': [1, 4, 73, 148, 1369], 'euler41': [1, 6, 11, 246, 1681], 'euler43': [1, -8, 97, -344, 1849], 'euler47': [1, -1, 93, -47, 2209], 'euler5': [1, 3, 11, 15, 25], 'euler53': [1, 17, 177, 901, 2809], 'euler59': [1, -5, 63, -295, 3481], 'euler61': [1, -9, 131, -549, 3721], 'euler67': [1, -1, 33, -67, 4489], 'euler7': [1, -6, 23, -42, 49], 'euler71': [1, -9, 61, -639, 5041], 'euler73': [1, 2, 142, 146, 5329], 'euler79': [1, -10, 163, -790, 6241], 'euler83': [1, 12, 157, 996, 6889], 'euler89': [1, -10, 183, -890, 7921], 'euler97': [1, -1, -17, -97, 9409], 'euler_factors': [[1, -1, 3, -2, 4], [1, -2, 1, 0, 0], [1, 3, 11, 15, 25], [1, -6, 23, -42, 49], [1, 0, 0, 0, 0], [1, -8, 37, -104, 169], [1, -1, 33, -17, 289], [1, -5, 33, -95, 361], [1, 2, 27, 46, 529], [1, 0, 38, 0, 841], [1, 1, 51, 31, 961], [1, 4, 73, 148, 1369], [1, 6, 11, 246, 1681], [1, -8, 97, -344, 1849], [1, -1, 93, -47, 2209], [1, 17, 177, 901, 2809], [1, -5, 63, -295, 3481], [1, -9, 131, -549, 3721], [1, -1, 33, -67, 4489], [1, -9, 61, -639, 5041], [1, 2, 142, 146, 5329], [1, -10, 163, -790, 6241], [1, 12, 157, 996, 6889], [1, -10, 183, -890, 7921], [1, -1, -17, -97, 9409]], 'id': 10052315, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/363/2/a/h'], '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': '4-363e2-1.1-c1e2-0-6', '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': '4-363e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7025186029446138, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 2244839120373630059, 'z1': {'__RealLiteral__': 0, 'data': '1.18710578751622857863542613928', 'prec': 103}}