Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 131.5980997044568, 'bad_primes': [7, 13], 'central_character': '1.1', 'conductor': 258474853, 'conductor_radical': 91, 'degree': 6, 'dirichlet_coefficients': [1, 1, 2, -1, -2, 2, 0, -1, 1, -2, 2, -2, -3, 0, -4, -1, -4, 1, 4, 2, 0, 2, 10, -2, -8, -3, 0, 0, 24, -4, 4, -1, 4, -4, 0, -1, 0, 4, -6, 2, -2, 0, 10, -2, -2, 10, 8, -2, 0, -8, -8, 3, 8, 0, -4, 0, 8, 24, 4, 4, 6, 4, 0, -1, 6, 4, -12, 4, 20, 0, -6, -1, 10, 0, -16, -4, 0, -6, -14, 2, -4, -2, 12, 0, 8, 10, 48, -2, -2, -2, 0, -10, 8, 8, -8, -2, 10, 0, 2, 8], 'euler11': [1, -2, 27, -36, 297, -242, 1331], 'euler13': [1, 3, 3, 1, 0, 0, 0], 'euler17': [1, 4, 41, 140, 697, 1156, 4913], 'euler19': [1, -4, 58, -148, 1102, -1444, 6859], 'euler2': [1, -1, 2, -2, 4, -4, 8], 'euler23': [1, -10, 70, -324, 1610, -5290, 12167], 'euler29': [1, -24, 272, -1846, 7888, -20184, 24389], 'euler3': [1, -2, 3, -4, 9, -18, 27], 'euler31': [1, -4, 74, -264, 2294, -3844, 29791], 'euler37': [1, 0, 53, -124, 1961, 0, 50653], 'euler41': [1, 2, 95, 172, 3895, 3362, 68921], 'euler43': [1, -10, 58, -232, 2494, -18490, 79507], 'euler47': [1, -8, 62, -208, 2914, -17672, 103823], 'euler5': [1, 2, 12, 18, 60, 50, 125], 'euler53': [1, -8, 124, -870, 6572, -22472, 148877], 'euler59': [1, -4, 21, 216, 1239, -13924, 205379], 'euler61': [1, -6, 195, -740, 11895, -22326, 226981], 'euler67': [1, 12, 77, 632, 5159, 53868, 300763], 'euler7': [1, 0, 0, 0, 0, 0, 0], 'euler71': [1, 6, 191, 868, 13561, 30246, 357911], 'euler73': [1, -10, 120, -1186, 8760, -53290, 389017], 'euler79': [1, 14, 242, 2196, 19118, 87374, 493039], 'euler83': [1, -12, -22, 1276, -1826, -82668, 571787], 'euler89': [1, 2, 172, -66, 15308, 15842, 704969], 'euler97': [1, -10, 320, -1962, 31040, -94090, 912673], 'euler_factors': [[1, -1, 2, -2, 4, -4, 8], [1, -2, 3, -4, 9, -18, 27], [1, 2, 12, 18, 60, 50, 125], [1, 0, 0, 0, 0, 0, 0], [1, -2, 27, -36, 297, -242, 1331], [1, 3, 3, 1, 0, 0, 0], [1, 4, 41, 140, 697, 1156, 4913], [1, -4, 58, -148, 1102, -1444, 6859], [1, -10, 70, -324, 1610, -5290, 12167], [1, -24, 272, -1846, 7888, -20184, 24389], [1, -4, 74, -264, 2294, -3844, 29791], [1, 0, 53, -124, 1961, 0, 50653], [1, 2, 95, 172, 3895, 3362, 68921], [1, -10, 58, -232, 2494, -18490, 79507], [1, -8, 62, -208, 2914, -17672, 103823], [1, -8, 124, -870, 6572, -22472, 148877], [1, -4, 21, 216, 1239, -13924, 205379], [1, -6, 195, -740, 11895, -22326, 226981], [1, 12, 77, 632, 5159, 53868, 300763], [1, 6, 191, 868, 13561, 30246, 357911], [1, -10, 120, -1186, 8760, -53290, 389017], [1, 14, 242, 2196, 19118, 87374, 493039], [1, -12, -22, 1276, -1826, -82668, 571787], [1, 2, 172, -66, 15308, 15842, 704969], [1, -10, 320, -1962, 31040, -94090, 912673]], 'id': 12124477, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/a/j'], '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': '6-637e3-1.1-c1e3-0-0', '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}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-637e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 973744459687226268, 'z1': {'__RealLiteral__': 0, 'data': '0.71272129291482955258320604293', 'prec': 103}}