Query:
/api/lfunc_search/?_offset=0
Table lfunc_search
L-function search data
{'algebraic': True, 'analytic_conductor': 5717.681335377052, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 1406408618241, 'conductor_radical': 33, 'degree': 8, 'dirichlet_coefficients': [1, 3, -6, 5, -2, -18, 2, 6, 21, -6, 0, -30, 4, 6, 12, 4, 6, 63, 4, -10, -12, 0, -7, -36, 6, 12, -54, 10, 3, 36, 1, 0, 0, 18, -4, 105, 2, 12, -24, -12, 14, -36, 3, 0, -42, -21, -6, -24, 15, 18, -36, 20, -6, -162, 0, 12, -24, 9, -1, 60, -15, 3, 42, -11, -8, 0, -12, 30, 42, -12, -34, 126, -14, 6, -36, 20, 0, -72, -1, -8, 108, 42, 24, -60, -12, 9, -18, 0, -36, -126, 8, -35, -6, -18, -8, 0, -12, 45, 0, 30], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, -4, 6, 64, -277, 832, 1014, -8788, 28561], 'euler17': [1, -6, 59, -252, 1509, -4284, 17051, -29478, 83521], 'euler19': [1, -4, 82, -232, 2395, -4408, 29602, -27436, 130321], 'euler2': [1, -3, 4, -3, 3, -6, 16, -24, 16], 'euler23': [1, 7, -8, 77, 1593, 1771, -4232, 85169, 279841], 'euler29': [1, -3, -40, 27, 1299, 783, -33640, -73167, 707281], 'euler3': [1, 6, 15, 18, 9, 0, 0, 0, 0], 'euler31': [1, -1, -60, 1, 2729, 31, -57660, -29791, 923521], 'euler37': [1, -2, 87, -160, 4661, -5920, 119103, -101306, 1874161], 'euler41': [1, -14, 85, -406, 2604, -16646, 142885, -964894, 2825761], 'euler43': [1, -3, -68, 27, 3693, 1161, -125732, -238521, 3418801], 'euler47': [1, 6, 13, -426, -3372, -20022, 28717, 622938, 4879681], 'euler5': [1, 2, -2, -8, -9, -40, -50, 250, 625], 'euler53': [1, 6, 163, 780, 12501, 41340, 457867, 893262, 7890481], 'euler59': [1, 1, -116, -1, 10149, -59, -403796, 205379, 12117361], 'euler61': [1, 15, 58, 675, 10443, 41175, 215818, 3404715, 13845841], 'euler67': [1, 12, -26, 432, 14763, 28944, -116714, 3609156, 20151121], 'euler7': [1, -2, -11, -2, 148, -14, -539, -686, 2401], 'euler71': [1, 34, 655, 8636, 84609, 613156, 3301855, 12168974, 25411681], 'euler73': [1, 14, 343, 3080, 39421, 224840, 1827847, 5446238, 28398241], 'euler79': [1, 1, -56, -101, -3071, -7979, -349496, 493039, 38950081], 'euler83': [1, -24, 271, -3336, 38328, -276888, 1866919, -13722888, 47458321], 'euler89': [1, 36, 832, 12348, 138030, 1098972, 6590272, 25378884, 62742241], 'euler97': [1, 12, -86, 432, 29523, 41904, -809174, 10952076, 88529281], 'euler_factors': [[1, -3, 4, -3, 3, -6, 16, -24, 16], [1, 6, 15, 18, 9, 0, 0, 0, 0], [1, 2, -2, -8, -9, -40, -50, 250, 625], [1, -2, -11, -2, 148, -14, -539, -686, 2401], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 6, 64, -277, 832, 1014, -8788, 28561], [1, -6, 59, -252, 1509, -4284, 17051, -29478, 83521], [1, -4, 82, -232, 2395, -4408, 29602, -27436, 130321], [1, 7, -8, 77, 1593, 1771, -4232, 85169, 279841], [1, -3, -40, 27, 1299, 783, -33640, -73167, 707281], [1, -1, -60, 1, 2729, 31, -57660, -29791, 923521], [1, -2, 87, -160, 4661, -5920, 119103, -101306, 1874161], [1, -14, 85, -406, 2604, -16646, 142885, -964894, 2825761], [1, -3, -68, 27, 3693, 1161, -125732, -238521, 3418801], [1, 6, 13, -426, -3372, -20022, 28717, 622938, 4879681], [1, 6, 163, 780, 12501, 41340, 457867, 893262, 7890481], [1, 1, -116, -1, 10149, -59, -403796, 205379, 12117361], [1, 15, 58, 675, 10443, 41175, 215818, 3404715, 13845841], [1, 12, -26, 432, 14763, 28944, -116714, 3609156, 20151121], [1, 34, 655, 8636, 84609, 613156, 3301855, 12168974, 25411681], [1, 14, 343, 3080, 39421, 224840, 1827847, 5446238, 28398241], [1, 1, -56, -101, -3071, -7979, -349496, 493039, 38950081], [1, -24, 271, -3336, 38328, -276888, 1866919, -13722888, 47458321], [1, 36, 832, 12348, 138030, 1098972, 6590272, 25378884, 62742241], [1, 12, -86, 432, 29523, 41904, -809174, 10952076, 88529281]], 'id': 24201339, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1089/2/e/g'], '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': '8-33e8-1.1-c1e4-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-33e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.948848721131255, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1105930713755760381, 'z1': {'__RealLiteral__': 0, 'data': '0.36181492393634094364124425648', 'prec': 97}}