Formats: - HTML - YAML - JSON - 2026-04-15T17:50:23.036668
Query: /api/lfunc_search/?_offset=0
Show schema

{'algebraic': True, 'analytic_conductor': 110.45157553074648, 'bad_primes': [2, 3, 13], 'central_character': '1.1', 'conductor': 1872, 'conductor_radical': 78, 'degree': 2, 'dirichlet_coefficients': [1, 0, 0, 0, 2, 0, 32, 0, 0, 0, -68, 0, 13, 0, 0, 0, 14, 0, -4, 0, 0, 0, 72, 0, -121, 0, 0, 0, -102, 0, 136, 0, 0, 0, 64, 0, -386, 0, 0, 0, -250, 0, 140, 0, 0, 0, -296, 0, 681, 0, 0, 0, -526, 0, -136, 0, 0, 0, 332, 0, -410, 0, 0, 0, 26, 0, -596, 0, 0, 0, -880, 0, 506, 0, 0, 0, -2176, 0, 640, 0, 0, 0, 1380, 0, 28, 0, 0, 0, -1450, 0, 416, 0, 0, 0, -8, 0, -446, 0, 0, 0], 'euler11': [1, 68, 1331], 'euler13': [1, -13, 0], 'euler17': [1, -14, 4913], 'euler19': [1, 4, 6859], 'euler2': [1, 0, 0], 'euler23': [1, -72, 12167], 'euler29': [1, 102, 24389], 'euler3': [1, 0, 0], 'euler31': [1, -136, 29791], 'euler37': [1, 386, 50653], 'euler41': [1, 250, 68921], 'euler43': [1, -140, 79507], 'euler47': [1, 296, 103823], 'euler5': [1, -2, 125], 'euler53': [1, 526, 148877], 'euler59': [1, -332, 205379], 'euler61': [1, 410, 226981], 'euler67': [1, 596, 300763], 'euler7': [1, -32, 343], 'euler71': [1, 880, 357911], 'euler73': [1, -506, 389017], 'euler79': [1, -640, 493039], 'euler83': [1, -1380, 571787], 'euler89': [1, 1450, 704969], 'euler97': [1, 446, 912673], 'euler_factors': [[1, 0, 0], [1, 0, 0], [1, -2, 125], [1, -32, 343], [1, 68, 1331], [1, -13, 0], [1, -14, 4913], [1, 4, 6859], [1, -72, 12167], [1, 102, 24389], [1, -136, 29791], [1, 386, 50653], [1, 250, 68921], [1, -140, 79507], [1, 296, 103823], [1, 526, 148877], [1, -332, 205379], [1, 410, 226981], [1, 596, 300763], [1, 880, 357911], [1, -506, 389017], [1, -640, 493039], [1, -1380, 571787], [1, 1450, 704969], [1, 446, 912673]], 'id': 20930659, 'index': 79, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1872/4/a/i/1/1', 'ModularForm/GL2/Q/holomorphic/1872/4/a/i'], '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': '2-1872-1.1-c3-0-79', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-1872-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 10.509594451297657, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 1827215292314483487, 'z1': {'__RealLiteral__': 0, 'data': '1.45108895516746132322810241216', 'prec': 103}}