Query:
/api/lfunc_search/?_offset=0
Table lfunc_search
L-function search data
{'algebraic': True, 'analytic_conductor': 43.102346112010316, 'bad_primes': [2, 5, 13], 'central_character': '1.1', 'conductor': 676000, 'conductor_radical': 130, 'degree': 4, 'dirichlet_coefficients': [1, -1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 2, 0, 0, 1, 3, 1, 0, -1, 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, -1, 0, -3, 0, -1, -7, 0, 0, 1, 3, 0, 0, 0, 1, 0, 0, 0, 5, -1, 0, 2, -12, 0, 0, 0, 0, -3, 0, 0, -28, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 1, 2, 7, 0, 0, 0, 0, 0, -1, -8, -3, 0, 0, -3, 0, 0, 0, -18, -1, 0, 0, 0, 0, 0, 0, 4, -5, 0, 1], 'euler11': [1, 0, -1, 0, 121], 'euler13': [1, -2, 13, 0, 0], 'euler17': [1, -3, 34, -51, 289], 'euler19': [1, 0, 29, 0, 361], 'euler2': [1, 1, 0, 0, 0], 'euler23': [1, 0, -16, 0, 529], 'euler29': [1, -3, 58, -87, 841], 'euler3': [1, 0, 1, 0, 9], 'euler31': [1, 0, 26, 0, 961], 'euler37': [1, 7, 84, 259, 1369], 'euler41': [1, -3, 64, -123, 1681], 'euler43': [1, 0, 17, 0, 1849], 'euler47': [1, 0, 49, 0, 2209], 'euler5': [1, 1, 0, 0, 0], 'euler53': [1, 12, 133, 636, 2809], 'euler59': [1, 0, 17, 0, 3481], 'euler61': [1, 28, 318, 1708, 3721], 'euler67': [1, 0, -14, 0, 4489], 'euler7': [1, 0, -5, 0, 49], 'euler71': [1, 0, 116, 0, 5041], 'euler73': [1, -2, 138, -146, 5329], 'euler79': [1, 0, -65, 0, 6241], 'euler83': [1, 0, 40, 0, 6889], 'euler89': [1, 18, 250, 1602, 7921], 'euler97': [1, -4, 117, -388, 9409], 'euler_factors': [[1, 1, 0, 0, 0], [1, 0, 1, 0, 9], [1, 1, 0, 0, 0], [1, 0, -5, 0, 49], [1, 0, -1, 0, 121], [1, -2, 13, 0, 0], [1, -3, 34, -51, 289], [1, 0, 29, 0, 361], [1, 0, -16, 0, 529], [1, -3, 58, -87, 841], [1, 0, 26, 0, 961], [1, 7, 84, 259, 1369], [1, -3, 64, -123, 1681], [1, 0, 17, 0, 1849], [1, 0, 49, 0, 2209], [1, 12, 133, 636, 2809], [1, 0, 17, 0, 3481], [1, 28, 318, 1708, 3721], [1, 0, -14, 0, 4489], [1, 0, 116, 0, 5041], [1, -2, 138, -146, 5329], [1, 0, -65, 0, 6241], [1, 0, 40, 0, 6889], [1, 18, 250, 1602, 7921], [1, -4, 117, -388, 9409]], 'id': 9508862, 'index': 25, 'instance_types': ['ECNF', 'BMF', 'ECNF', 'BMF'], 'instance_urls': ['EllipticCurve/2.0.4.1/42250.6/b', 'ModularForm/GL2/ImaginaryQuadratic/2.0.4.1/42250.7/b', 'EllipticCurve/2.0.4.1/42250.7/b', 'ModularForm/GL2/ImaginaryQuadratic/2.0.4.1/42250.6/b'], 'is_instance_Artin': False, 'is_instance_BMF': True, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': True, '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': '4-676000-1.1-c1e2-0-25', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 1, 'prelabel': '4-676000-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 2.562271980909001, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1471479737321853625, 'z1': {'__RealLiteral__': 0, 'data': '1.14335518199776758983685468581703', 'prec': 110}}