Query:
/api/lfunc_search/?_offset=0
Table lfunc_search
L-function search data
{'algebraic': True, 'analytic_conductor': 10.742430877147186, 'bad_primes': [2, 3, 5, 13], 'central_character': '1.1', 'conductor': 168480, 'conductor_radical': 390, 'degree': 4, 'dirichlet_coefficients': [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, -3, 0, 0, 1, 6, 0, 0, 1, 0, 0, 0, 0, -4, -3, 0, 0, 6, 0, 0, 1, 0, 6, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 14, -4, 0, -3, 0, 0, 0, 0, 0, 6, 0, 0, -2, 0, 0, 1, -3, 0, 0, 6, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 16, 14, 0, -4], 'euler11': [1, 0, 4, 0, 121], 'euler13': [1, 3, 9, -13, 0], 'euler17': [1, -6, 34, -102, 289], 'euler19': [1, 0, 16, 0, 361], 'euler2': [1, -1, 0, 0, 0], 'euler23': [1, 0, 10, 0, 529], 'euler29': [1, -6, 58, -174, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 0, -26, 0, 961], 'euler37': [1, -4, 78, -148, 1369], 'euler41': [1, 0, 46, 0, 1681], 'euler43': [1, 0, 76, 0, 1849], 'euler47': [1, 0, -50, 0, 2209], 'euler5': [1, -1, 5, -5, 0], 'euler53': [1, 0, 70, 0, 2809], 'euler59': [1, 0, -80, 0, 3481], 'euler61': [1, 2, 42, 122, 3721], 'euler67': [1, 0, -26, 0, 4489], 'euler7': [1, 0, -14, 0, 49], 'euler71': [1, 0, 106, 0, 5041], 'euler73': [1, -4, 150, -292, 5329], 'euler79': [1, 0, -14, 0, 6241], 'euler83': [1, 0, 58, 0, 6889], 'euler89': [1, 6, 106, 534, 7921], 'euler97': [1, -16, 258, -1552, 9409], 'euler_factors': [[1, -1, 0, 0, 0], [1, 0, 0, 0, 0], [1, -1, 5, -5, 0], [1, 0, -14, 0, 49], [1, 0, 4, 0, 121], [1, 3, 9, -13, 0], [1, -6, 34, -102, 289], [1, 0, 16, 0, 361], [1, 0, 10, 0, 529], [1, -6, 58, -174, 841], [1, 0, -26, 0, 961], [1, -4, 78, -148, 1369], [1, 0, 46, 0, 1681], [1, 0, 76, 0, 1849], [1, 0, -50, 0, 2209], [1, 0, 70, 0, 2809], [1, 0, -80, 0, 3481], [1, 2, 42, 122, 3721], [1, 0, -26, 0, 4489], [1, 0, 106, 0, 5041], [1, -4, 150, -292, 5329], [1, 0, -14, 0, 6241], [1, 0, 58, 0, 6889], [1, 6, 106, 534, 7921], [1, -16, 258, -1552, 9409]], 'id': 9440518, 'index': 1, 'instance_types': ['ECNF', 'BMF', 'ECNF', 'BMF'], 'instance_urls': ['EllipticCurve/2.0.4.1/10530.1/a', 'ModularForm/GL2/ImaginaryQuadratic/2.0.4.1/10530.1/a', 'EllipticCurve/2.0.4.1/10530.4/a', 'ModularForm/GL2/ImaginaryQuadratic/2.0.4.1/10530.4/a'], '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': '4-168480-1.1-c1e2-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 0, 'prelabel': '4-168480-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 1.8104045897208219, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1963128803094981706, 'z1': {'__RealLiteral__': 0, 'data': '1.07337040755710952743210609151719', 'prec': 110}}