Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 8821024.958919967, 'bad_primes': [3, 5, 7, 13], 'central_character': '1.1', 'conductor': 2169754625390625, 'conductor_radical': 1365, 'degree': 8, 'dirichlet_coefficients': [1, 2, -4, -3, 0, -8, -4, -10, 10, 0, -4, 12, -4, -8, 0, 0, 2, 20, -2, 0, 16, -8, 8, 40, 0, -8, -20, 12, -6, 0, -2, 18, 16, 4, 0, -30, 10, -4, 16, 0, 0, 32, 18, 12, 0, 16, 12, 0, 10, 0, -8, 12, -10, -40, 0, 40, 8, -12, 4, 0, -20, -4, -40, 11, 0, 32, 10, -6, -32, 0, -14, -100, 14, 20, 0, 6, 16, 32, -26, 0, 35, 0, 12, -48, 0, 36, 24, 40, 20, 0, 16, -24, 8, 24, 0, -72, 16, 20, -40, 0], 'euler11': [1, 4, 30, 96, 479, 1056, 3630, 5324, 14641], 'euler13': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler17': [1, -2, 42, -100, 951, -1700, 12138, -9826, 83521], 'euler19': [1, 2, 65, 82, 1729, 1558, 23465, 13718, 130321], 'euler2': [1, -2, 7, -10, 21, -20, 28, -16, 16], 'euler23': [1, -8, 101, -534, 3569, -12282, 53429, -97336, 279841], 'euler29': [1, 6, 117, 518, 5105, 15022, 98397, 146334, 707281], 'euler3': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler31': [1, 2, 58, 264, 1655, 8184, 55738, 59582, 923521], 'euler37': [1, -10, 178, -1140, 10439, -42180, 243682, -506530, 1874161], 'euler41': [1, 0, 154, 0, 9271, 0, 258874, 0, 2825761], 'euler43': [1, -18, 191, -1664, 12489, -71552, 353159, -1431126, 3418801], 'euler47': [1, -12, 222, -1640, 16211, -77080, 490398, -1245876, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 10, 202, 1580, 15799, 83740, 567418, 1488770, 7890481], 'euler59': [1, -4, 187, -692, 15345, -40828, 650947, -821516, 12117361], 'euler61': [1, 20, 374, 4000, 38491, 244000, 1391654, 4539620, 13845841], 'euler67': [1, -10, 158, -1640, 12499, -109880, 709262, -3007630, 20151121], 'euler7': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler71': [1, 14, 255, 2216, 24209, 157336, 1285455, 5010754, 25411681], 'euler73': [1, -14, 318, -2980, 35571, -217540, 1694622, -5446238, 28398241], 'euler79': [1, 26, 527, 6628, 70285, 523612, 3289007, 12819014, 38950081], 'euler83': [1, -12, 171, -1056, 10029, -87648, 1178019, -6861444, 47458321], 'euler89': [1, -20, 431, -5380, 60781, -478820, 3413951, -14099380, 62742241], 'euler97': [1, -16, 449, -4682, 68209, -454154, 4224641, -14602768, 88529281], 'euler_factors': [[1, -2, 7, -10, 21, -20, 28, -16, 16], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 4, 30, 96, 479, 1056, 3630, 5324, 14641], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, -2, 42, -100, 951, -1700, 12138, -9826, 83521], [1, 2, 65, 82, 1729, 1558, 23465, 13718, 130321], [1, -8, 101, -534, 3569, -12282, 53429, -97336, 279841], [1, 6, 117, 518, 5105, 15022, 98397, 146334, 707281], [1, 2, 58, 264, 1655, 8184, 55738, 59582, 923521], [1, -10, 178, -1140, 10439, -42180, 243682, -506530, 1874161], [1, 0, 154, 0, 9271, 0, 258874, 0, 2825761], [1, -18, 191, -1664, 12489, -71552, 353159, -1431126, 3418801], [1, -12, 222, -1640, 16211, -77080, 490398, -1245876, 4879681], [1, 10, 202, 1580, 15799, 83740, 567418, 1488770, 7890481], [1, -4, 187, -692, 15345, -40828, 650947, -821516, 12117361], [1, 20, 374, 4000, 38491, 244000, 1391654, 4539620, 13845841], [1, -10, 158, -1640, 12499, -109880, 709262, -3007630, 20151121], [1, 14, 255, 2216, 24209, 157336, 1285455, 5010754, 25411681], [1, -14, 318, -2980, 35571, -217540, 1694622, -5446238, 28398241], [1, 26, 527, 6628, 70285, 523612, 3289007, 12819014, 38950081], [1, -12, 171, -1056, 10029, -87648, 1178019, -6861444, 47458321], [1, -20, 431, -5380, 60781, -478820, 3413951, -14099380, 62742241], [1, -16, 449, -4682, 68209, -454154, 4224641, -14602768, 88529281]], 'id': 21499278, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6825/2/a/bm'], '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': '8-6825e4-1.1-c1e4-0-1', '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': '8-6825e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.3822692567749035, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1514590238955341913, 'z1': {'__RealLiteral__': 0, 'data': '0.41114356658827423294850887943', 'prec': 103}}