Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 2527.90233567787, 'bad_primes': [2, 3, 37], 'central_character': '1.1', 'conductor': 621801639936, 'conductor_radical': 222, 'degree': 8, 'dirichlet_coefficients': [1, 2, 0, 2, 4, 0, 0, 4, -6, 8, 0, 0, 0, 0, 0, 8, 0, -12, -4, 8, 0, 0, 24, 0, -4, 0, 0, 0, 20, 0, 0, 8, 0, 0, 0, -12, 0, -8, 0, 16, 0, 0, -20, 0, -24, 48, 0, 0, 20, -8, 0, 0, 8, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 8, 0, 0, -16, 0, 0, 0, 48, -24, -8, 0, 0, -8, 0, 0, 0, 32, 27, 0, 0, 0, 0, -40, 0, 0, 0, -48, 0, 48, 0, 0, -16, 0, 8, 40, 0, -8], 'euler11': [1, 0, -12, 0, 86, 0, -1452, 0, 14641], 'euler13': [1, 0, -44, 0, 822, 0, -7436, 0, 28561], 'euler17': [1, 0, -60, 0, 1466, 0, -17340, 0, 83521], 'euler19': [1, 4, 28, 124, 1018, 2356, 10108, 27436, 130321], 'euler2': [1, -2, 2, -4, 4, 0, 0, 0, 0], 'euler23': [1, -24, 308, -2520, 14406, -57960, 162932, -292008, 279841], 'euler29': [1, -20, 212, -1700, 10618, -49300, 178292, -487780, 707281], 'euler3': [1, 0, 6, 0, 9, 0, 0, 0, 0], 'euler31': [1, 0, -68, 0, 2970, 0, -65348, 0, 923521], 'euler37': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler41': [1, 0, -68, 0, 2790, 0, -114308, 0, 2825761], 'euler43': [1, 20, 316, 3020, 23962, 129860, 584284, 1590140, 3418801], 'euler47': [1, 0, 164, 0, 11142, 0, 362276, 0, 4879681], 'euler5': [1, -4, 20, -52, 154, -260, 500, -500, 625], 'euler53': [1, -8, 236, -1304, 19414, -69112, 662924, -1191016, 7890481], 'euler59': [1, 0, -212, 0, 18198, 0, -737972, 0, 12117361], 'euler61': [1, 0, 68, 0, 1686, 0, 253028, 0, 13845841], 'euler67': [1, 16, 364, 3472, 40054, 232624, 1633996, 4812208, 20151121], 'euler7': [1, 0, -20, 0, 198, 0, -980, 0, 2401], 'euler71': [1, -48, 1124, -16560, 166950, -1175760, 5666084, -17179728, 25411681], 'euler73': [1, 8, 220, 1400, 23398, 102200, 1172380, 3112136, 28398241], 'euler79': [1, 0, -20, 0, 11994, 0, -124820, 0, 38950081], 'euler83': [1, 0, -84, 0, 8630, 0, -578676, 0, 47458321], 'euler89': [1, 0, -204, 0, 25946, 0, -1615884, 0, 62742241], 'euler97': [1, -8, 28, -824, 21958, -79928, 263452, -7301384, 88529281], 'euler_factors': [[1, -2, 2, -4, 4, 0, 0, 0, 0], [1, 0, 6, 0, 9, 0, 0, 0, 0], [1, -4, 20, -52, 154, -260, 500, -500, 625], [1, 0, -20, 0, 198, 0, -980, 0, 2401], [1, 0, -12, 0, 86, 0, -1452, 0, 14641], [1, 0, -44, 0, 822, 0, -7436, 0, 28561], [1, 0, -60, 0, 1466, 0, -17340, 0, 83521], [1, 4, 28, 124, 1018, 2356, 10108, 27436, 130321], [1, -24, 308, -2520, 14406, -57960, 162932, -292008, 279841], [1, -20, 212, -1700, 10618, -49300, 178292, -487780, 707281], [1, 0, -68, 0, 2970, 0, -65348, 0, 923521], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, -68, 0, 2790, 0, -114308, 0, 2825761], [1, 20, 316, 3020, 23962, 129860, 584284, 1590140, 3418801], [1, 0, 164, 0, 11142, 0, 362276, 0, 4879681], [1, -8, 236, -1304, 19414, -69112, 662924, -1191016, 7890481], [1, 0, -212, 0, 18198, 0, -737972, 0, 12117361], [1, 0, 68, 0, 1686, 0, 253028, 0, 13845841], [1, 16, 364, 3472, 40054, 232624, 1633996, 4812208, 20151121], [1, -48, 1124, -16560, 166950, -1175760, 5666084, -17179728, 25411681], [1, 8, 220, 1400, 23398, 102200, 1172380, 3112136, 28398241], [1, 0, -20, 0, 11994, 0, -124820, 0, 38950081], [1, 0, -84, 0, 8630, 0, -578676, 0, 47458321], [1, 0, -204, 0, 25946, 0, -1615884, 0, 62742241], [1, -8, 28, -824, 21958, -79928, 263452, -7301384, 88529281]], 'id': 16468948, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/888/2/j/b'], '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': '8-888e4-1.1-c1e4-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-888e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.6628397810401028, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 462047993140942791, 'z1': {'__RealLiteral__': 0, 'data': '0.861773648917964766796216843560', 'prec': 107}}